%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU785^1 : 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 : n003.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 08:53:11 AM UTC 2026 % Result : Theorem 1.52s 1.77s % Output : Proof 1.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU785^1 : 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 % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:51:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.41/0.67 %----Proving TH0 % 1.52/1.77 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.52/1.77 % SZS status Theorem % 1.52/1.77 % SZS output start Proof % 1.52/1.77 ( % 1.52/1.77 (declare-sort $$unsorted 0) % 1.52/1.77 (declare-const tptp.emptyset $$unsorted) % 1.52/1.77 (declare-const tptp.breln1unionIL Bool) % 1.52/1.77 (declare-const tptp.breln1compEex Bool) % 1.52/1.77 (declare-const tptp.breln1compprop Bool) % 1.52/1.77 (declare-const tptp.breln1invI Bool) % 1.52/1.77 (declare-const tptp.breln1invprop Bool) % 1.52/1.77 (declare-const tptp.choice2fnsingleton Bool) % 1.52/1.77 (declare-const tptp.reflwellordering (-> $$unsorted $$unsorted Bool)) % 1.52/1.77 (declare-const tptp.breln1SetBreln1 Bool) % 1.52/1.77 (declare-const tptp.breln1Set (-> $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.breln1all2 Bool) % 1.52/1.77 (declare-const tptp.woz1_3 Bool) % 1.52/1.77 (declare-const tptp.woz1_2 Bool) % 1.52/1.77 (declare-const tptp.woz1_1 Bool) % 1.52/1.77 (declare-const tptp.woz13rule3 Bool) % 1.52/1.77 (declare-const tptp.woz13rule2 Bool) % 1.52/1.77 (declare-const tptp.woz13rule1 Bool) % 1.52/1.77 (declare-const tptp.woz13rule0 Bool) % 1.52/1.77 (declare-const tptp.demorgan2b Bool) % 1.52/1.77 (declare-const tptp.demorgan2a Bool) % 1.52/1.77 (declare-const tptp.demorgan1a Bool) % 1.52/1.77 (declare-const tptp.demorgan2a2 Bool) % 1.52/1.77 (declare-const tptp.complementUnionInPowersetComplement Bool) % 1.52/1.77 (declare-const tptp.demorgan2a1 Bool) % 1.52/1.77 (declare-const tptp.binunionTE Bool) % 1.52/1.77 (declare-const tptp.inComplementUnionImpInComplement1 Bool) % 1.52/1.77 (declare-const tptp.inComplementUnionImpNotIn1 Bool) % 1.52/1.77 (declare-const tptp.intersectInPowersetIntersectUnions Bool) % 1.52/1.77 (declare-const tptp.inIntersectImpInUnion2 Bool) % 1.52/1.77 (declare-const tptp.inIntersectImpInUnion Bool) % 1.52/1.77 (declare-const tptp.binunionTILcontra Bool) % 1.52/1.77 (declare-const tptp.complementTcontraSubset Bool) % 1.52/1.77 (declare-const tptp.contraSubsetComplement Bool) % 1.52/1.77 (declare-const tptp.complementInPowersetComplementIntersect Bool) % 1.52/1.77 (declare-const tptp.complementImpComplementIntersect Bool) % 1.52/1.77 (declare-const tptp.complementTnotintersectT Bool) % 1.52/1.77 (declare-const tptp.doubleComplementE1 Bool) % 1.52/1.77 (declare-const tptp.doubleComplementI1 Bool) % 1.52/1.77 (declare-const tptp.binintersectTERcontra Bool) % 1.52/1.77 (declare-const tptp.complementTE1 Bool) % 1.52/1.77 (declare-const tptp.eqbreln1 Bool) % 1.52/1.77 (declare-const tptp.complementTI1 Bool) % 1.52/1.77 (declare-const tptp.powersetTI1 Bool) % 1.52/1.77 (declare-const tptp.subsetTI Bool) % 1.52/1.77 (declare-const tptp.setminusT_lem Bool) % 1.52/1.77 (declare-const tptp.powersetT_lem Bool) % 1.52/1.77 (declare-const tptp.binunionT_lem Bool) % 1.52/1.77 (declare-const tptp.binintersectER Bool) % 1.52/1.77 (declare-const tptp.setext Bool) % 1.52/1.77 (declare-const tptp.binintersectSubset2 Bool) % 1.52/1.77 (declare-const tptp.binintersectEL Bool) % 1.52/1.77 (declare-const tptp.lam2lamEq Bool) % 1.52/1.77 (declare-const tptp.doubleComplementSub2 Bool) % 1.52/1.77 (declare-const tptp.binintersectI Bool) % 1.52/1.77 (declare-const tptp.exuI1 Bool) % 1.52/1.77 (declare-const tptp.breln1compE Bool) % 1.52/1.77 (declare-const tptp.binunionEcases Bool) % 1.52/1.77 (declare-const tptp.quantDeMorgan3 Bool) % 1.52/1.77 (declare-const tptp.descrp Bool) % 1.52/1.77 (declare-const tptp.binunionIR Bool) % 1.52/1.77 (declare-const tptp.binunionIL Bool) % 1.52/1.77 (declare-const tptp.contrasubsetT2 Bool) % 1.52/1.77 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.setextsub Bool) % 1.52/1.77 (declare-const tptp.singletonsubset Bool) % 1.52/1.77 (declare-const tptp.disjointsetsI1 Bool) % 1.52/1.77 (declare-const tptp.singleton (-> $$unsorted Bool)) % 1.52/1.77 (declare-const tptp.kpairiskpair Bool) % 1.52/1.77 (declare-const tptp.setadjoinSub Bool) % 1.52/1.77 (declare-const tptp.subbreln1 Bool) % 1.52/1.77 (declare-const tptp.notequalI2 Bool) % 1.52/1.77 (declare-const tptp.funcGraphProp1 Bool) % 1.52/1.77 (declare-const tptp.notsubsetI Bool) % 1.52/1.77 (declare-const tptp.subsetI2 Bool) % 1.52/1.77 (declare-const tptp.symdiffE Bool) % 1.52/1.77 (declare-const tptp.binintersectT_lem Bool) % 1.52/1.77 (declare-const tptp.powerset__Cong Bool) % 1.52/1.77 (declare-const tptp.emptyset__Cong Bool) % 1.52/1.77 (declare-const tptp.binintersectRsub Bool) % 1.52/1.77 (declare-const tptp.complementSubsetComplementIntersect Bool) % 1.52/1.77 (declare-const tptp.binintersectSubset3 Bool) % 1.52/1.77 (declare-const tptp.exu__Cong Bool) % 1.52/1.77 (declare-const tptp.breln1unionprop Bool) % 1.52/1.77 (declare-const tptp.funcImageSingleton Bool) % 1.52/1.77 (declare-const tptp.inCongP Bool) % 1.52/1.77 (declare-const tptp.subsetE2 Bool) % 1.52/1.77 (declare-const tptp.setunionsingleton2 Bool) % 1.52/1.77 (declare-const tptp.exuI3 Bool) % 1.52/1.77 (declare-const tptp.subsetE Bool) % 1.52/1.77 (declare-const tptp.sepSubset Bool) % 1.52/1.77 (declare-const tptp.dsetconstr__Cong Bool) % 1.52/1.77 (declare-const tptp.setminusSubset2 Bool) % 1.52/1.77 (declare-const tptp.demorgan2b2 Bool) % 1.52/1.77 (declare-const tptp.quantDeMorgan1 Bool) % 1.52/1.77 (declare-const tptp.ubforcartprodlem1 Bool) % 1.52/1.77 (declare-const tptp.contrasubsetT1 Bool) % 1.52/1.77 (declare-const tptp.sepInPowerset Bool) % 1.52/1.77 (declare-const tptp.inPowerset Bool) % 1.52/1.77 (declare-const tptp.upairset2E Bool) % 1.52/1.77 (declare-const tptp.emptyE1 Bool) % 1.52/1.77 (declare-const tptp.powersetE1 Bool) % 1.52/1.77 (declare-const tptp.subbreln Bool) % 1.52/1.77 (declare-const tptp.setunion__Cong Bool) % 1.52/1.77 (declare-const tptp.ex1I2 Bool) % 1.52/1.77 (declare-const tptp.setukpairinjR Bool) % 1.52/1.77 (declare-const tptp.notequalI1 Bool) % 1.52/1.77 (declare-const tptp.symdiffIneg1 Bool) % 1.52/1.77 (declare-const tptp.omega__Cong Bool) % 1.52/1.77 (declare-const tptp.setadjoinIL Bool) % 1.52/1.77 (declare-const tptp.woz1_5 Bool) % 1.52/1.77 (declare-const tptp.exuEu Bool) % 1.52/1.77 (declare-const tptp.prop2setE Bool) % 1.52/1.77 (declare-const tptp.exuI2 Bool) % 1.52/1.77 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.52/1.77 (declare-const tptp.vacuousDall Bool) % 1.52/1.77 (declare-const tptp.eta1 Bool) % 1.52/1.77 (declare-const tptp.dsetconstrI Bool) % 1.52/1.77 (declare-const tptp.demorgan1b Bool) % 1.52/1.77 (declare-const tptp.ap2apEq1 Bool) % 1.52/1.77 (declare-const tptp.binintersectLsub Bool) % 1.52/1.77 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 1.52/1.77 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.52/1.77 (declare-const tptp.breln1compset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.wellorderingAx Bool) % 1.52/1.77 (declare-const tptp.omega0Ax Bool) % 1.52/1.77 (declare-const tptp.ksndsingleton Bool) % 1.52/1.77 (declare-const tptp.breln1invset (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.replAx Bool) % 1.52/1.77 (declare-const tptp.upairinpowunion Bool) % 1.52/1.77 (declare-const tptp.upairsetE Bool) % 1.52/1.77 (declare-const tptp.binunionLsub Bool) % 1.52/1.77 (declare-const tptp.prop2set2propI Bool) % 1.52/1.77 (declare-const tptp.dsetconstrEL Bool) % 1.52/1.77 (declare-const tptp.emptyinPowerset Bool) % 1.52/1.77 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.52/1.77 (declare-const tptp.funcextLem Bool) % 1.52/1.77 (declare-const tptp.setadjoinOr Bool) % 1.52/1.77 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.52/1.77 (declare-const tptp.setukpairIL Bool) % 1.52/1.77 (declare-const tptp.funcGraphProp3 Bool) % 1.52/1.77 (declare-const tptp.woz13rule4 Bool) % 1.52/1.77 (declare-const tptp.exuE3u Bool) % 1.52/1.77 (declare-const tptp.foundationAx Bool) % 1.52/1.77 (declare-const tptp.dpsetconstrEL2 Bool) % 1.52/1.77 (declare-const tptp.subsetRefl Bool) % 1.52/1.77 (declare-const tptp.dpsetconstrER Bool) % 1.52/1.77 (declare-const tptp.binunionTEcontra Bool) % 1.52/1.77 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.exuE2 Bool) % 1.52/1.77 (declare-const tptp.setukpairinjL1 Bool) % 1.52/1.77 (declare-const tptp.doubleComplementSub1 Bool) % 1.52/1.77 (declare-const tptp.binunionRsub Bool) % 1.52/1.77 (declare-const tptp.beta1 Bool) % 1.52/1.77 (declare-const tptp.breln1unionIR Bool) % 1.52/1.77 (declare-const tptp.dsetconstrER Bool) % 1.52/1.77 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.52/1.77 (declare-const tptp.cartprodpairin Bool) % 1.52/1.77 (declare-const tptp.eqimpsubset1 Bool) % 1.52/1.77 (declare-const tptp.emptyInPowerset Bool) % 1.52/1.77 (declare-const tptp.breln1all1 Bool) % 1.52/1.77 (declare-const tptp.omega $$unsorted) % 1.52/1.77 (declare-const tptp.setadjoinAx Bool) % 1.52/1.77 (declare-const tptp.subsetemptysetimpeq Bool) % 1.52/1.77 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.iftrue Bool) % 1.52/1.77 (declare-const tptp.complementT_lem Bool) % 1.52/1.77 (declare-const tptp.setukpairinjL Bool) % 1.52/1.77 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.eqimpsubset2 Bool) % 1.52/1.77 (declare-const tptp.emptyinunitempty Bool) % 1.52/1.77 (declare-const tptp.setminusLsub Bool) % 1.52/1.77 (declare-const tptp.powersetAx Bool) % 1.52/1.77 (declare-const tptp.setminusELneg Bool) % 1.52/1.77 (declare-const tptp.powersetE Bool) % 1.52/1.77 (declare-const tptp.powersetTE1 Bool) % 1.52/1.77 (declare-const tptp.omegaSAx Bool) % 1.52/1.77 (declare-const tptp.setukpairinjL2 Bool) % 1.52/1.77 (declare-const tptp.upairset2IR Bool) % 1.52/1.77 (declare-const tptp.funcext Bool) % 1.52/1.77 (declare-const tptp.setoftrueEq Bool) % 1.52/1.77 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 1.52/1.77 (declare-const tptp.setadjoin__Cong Bool) % 1.52/1.77 (declare-const tptp.iffalse Bool) % 1.52/1.77 (declare-const tptp.setunionAx Bool) % 1.52/1.77 (declare-const tptp.omegaIndAx Bool) % 1.52/1.77 (declare-const tptp.setunionE Bool) % 1.52/1.77 (declare-const tptp.quantDeMorgan4 Bool) % 1.52/1.77 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 1.52/1.77 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.emptyI Bool) % 1.52/1.77 (declare-const tptp.binunionTIRcontra Bool) % 1.52/1.77 (declare-const tptp.noeltsimpempty Bool) % 1.52/1.77 (declare-const tptp.setminusER Bool) % 1.52/1.77 (declare-const tptp.kpairp Bool) % 1.52/1.77 (declare-const tptp.funcGraphProp4 Bool) % 1.52/1.77 (declare-const tptp.upairsetIL Bool) % 1.52/1.77 (declare-const tptp.nonemptyI Bool) % 1.52/1.77 (declare-const tptp.subsetI1 Bool) % 1.52/1.77 (declare-const tptp.emptysetAx Bool) % 1.52/1.77 (declare-const tptp.in__Cong Bool) % 1.52/1.77 (declare-const tptp.ifp Bool) % 1.52/1.77 (declare-const tptp.nonemptyI1 Bool) % 1.52/1.77 (declare-const tptp.singletonsuniq Bool) % 1.52/1.77 (declare-const tptp.breln1 (-> $$unsorted $$unsorted Bool)) % 1.52/1.77 (declare-const tptp.descr__Cong Bool) % 1.52/1.77 (declare-const tptp.setminusEL Bool) % 1.52/1.77 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.setadjoinE Bool) % 1.52/1.77 (declare-const tptp.kfstsingleton Bool) % 1.52/1.77 (declare-const tptp.setunionsingleton1 Bool) % 1.52/1.77 (declare-const tptp.notdexE Bool) % 1.52/1.77 (declare-const tptp.setunionI Bool) % 1.52/1.77 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.contrasubsetT3 Bool) % 1.52/1.77 (declare-const tptp.dpsetconstrSub Bool) % 1.52/1.77 (declare-const tptp.binintersectSubset5 Bool) % 1.52/1.77 (declare-const tptp.subPowSU Bool) % 1.52/1.77 (declare-const tptp.binintersectTELcontra Bool) % 1.52/1.77 (declare-const tptp.cartprodpairmemEL Bool) % 1.52/1.77 (declare-const tptp.subset2powerset Bool) % 1.52/1.77 (declare-const tptp.emptysetimpfalse Bool) % 1.52/1.77 (declare-const tptp.binintersectSubset4 Bool) % 1.52/1.77 (declare-const tptp.ex1 (-> $$unsorted (-> $$unsorted Bool) Bool)) % 1.52/1.77 (declare-const tptp.notdallE Bool) % 1.52/1.77 (declare-const tptp.iftrueProp1 Bool) % 1.52/1.77 (declare-const tptp.singletonsswitch Bool) % 1.52/1.77 (declare-const tptp.notinemptyset Bool) % 1.52/1.77 (declare-const tptp.binintersectSubset1 Bool) % 1.52/1.77 (declare-const tptp.bs114d Bool) % 1.52/1.77 (declare-const tptp.app Bool) % 1.52/1.77 (declare-const tptp.iftrueProp2 Bool) % 1.52/1.77 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.setminusI Bool) % 1.52/1.77 (declare-const tptp.setminusERneg Bool) % 1.52/1.77 (declare-const tptp.setminusILneg Bool) % 1.52/1.77 (declare-const tptp.setminusIRneg Bool) % 1.52/1.77 (declare-const tptp.setbeta Bool) % 1.52/1.77 (declare-const tptp.lamp Bool) % 1.52/1.77 (declare-const tptp.symdiffI1 Bool) % 1.52/1.77 (declare-const tptp.powersetI Bool) % 1.52/1.77 (declare-const tptp.symdiffI2 Bool) % 1.52/1.77 (declare-const tptp.symdiffIneg2 Bool) % 1.52/1.77 (declare-const tptp.emptysetsubset Bool) % 1.52/1.77 (declare-const tptp.setukpairinjR12 Bool) % 1.52/1.77 (declare-const tptp.secondinupair Bool) % 1.52/1.77 (declare-const tptp.setukpairinjR1 Bool) % 1.52/1.77 (declare-const tptp.setukpairIR Bool) % 1.52/1.77 (declare-const tptp.setOfPairsIsBReln1 Bool) % 1.52/1.77 (declare-const tptp.setukpairinjR2 Bool) % 1.52/1.77 (declare-const tptp.singletoninpowerset Bool) % 1.52/1.77 (declare-const tptp.notinsingleton Bool) % 1.52/1.77 (declare-const tptp.singletoninpowunion Bool) % 1.52/1.77 (declare-const tptp.eqinunit Bool) % 1.52/1.77 (declare-const tptp.upairsubunion Bool) % 1.52/1.77 (declare-const tptp.demorgan1 Bool) % 1.52/1.77 (declare-const tptp.upairsetIR Bool) % 1.52/1.77 (declare-const tptp.ubforcartprodlem2 Bool) % 1.52/1.77 (declare-const tptp.ubforcartprodlem3 Bool) % 1.52/1.77 (declare-const tptp.nonemptyImpWitness Bool) % 1.52/1.77 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.77 (declare-const tptp.demorgan2 Bool) % 1.52/1.77 (declare-const tptp.cartprodmempair Bool) % 1.52/1.77 (declare-const tptp.setOfPairsIsBReln Bool) % 1.52/1.78 (declare-const tptp.prop2setI Bool) % 1.52/1.78 (declare-const tptp.setunionE2 Bool) % 1.52/1.78 (declare-const tptp.setunionsingleton Bool) % 1.52/1.78 (declare-const tptp.ifSingleton Bool) % 1.52/1.78 (declare-const tptp.singletonprop Bool) % 1.52/1.78 (declare-const tptp.ex1E1 Bool) % 1.52/1.78 (declare-const tptp.ex1I Bool) % 1.52/1.78 (declare-const tptp.exuE1 Bool) % 1.52/1.78 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.52/1.78 (declare-const tptp.woz1_4 Bool) % 1.52/1.78 (declare-const tptp.theprop Bool) % 1.52/1.78 (declare-const tptp.kfstpairEq Bool) % 1.52/1.78 (declare-const tptp.setextAx Bool) % 1.52/1.78 (declare-const tptp.cartprodfstin Bool) % 1.52/1.78 (declare-const tptp.nonemptyE1 Bool) % 1.52/1.78 (declare-const tptp.lam2p Bool) % 1.52/1.78 (declare-const tptp.setextT Bool) % 1.52/1.78 (declare-const tptp.setukpairinjR11 Bool) % 1.52/1.78 (declare-const tptp.inIntersectImpInIntersectUnions Bool) % 1.52/1.78 (declare-const tptp.ex1E2 Bool) % 1.52/1.78 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.52/1.78 (declare-const tptp.upairequniteq Bool) % 1.52/1.78 (declare-const tptp.funcGraphProp2 Bool) % 1.52/1.78 (declare-const tptp.subsetTrans Bool) % 1.52/1.78 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 1.52/1.78 (declare-const tptp.ksndpairEq Bool) % 1.52/1.78 (declare-const tptp.kpairsurjEq Bool) % 1.52/1.78 (declare-const tptp.setadjoinSub2 Bool) % 1.52/1.78 (declare-const tptp.cartprodsndin Bool) % 1.52/1.78 (declare-const tptp.cartprodpairmemER Bool) % 1.52/1.78 (declare-const tptp.cartprodmempaircEq Bool) % 1.52/1.78 (declare-const tptp.breln1invE Bool) % 1.52/1.78 (declare-const tptp.powersetI1 Bool) % 1.52/1.78 (declare-const tptp.cartprodfstpairEq Bool) % 1.52/1.78 (declare-const tptp.contrasubsetT Bool) % 1.52/1.78 (declare-const tptp.cartprodsndpairEq Bool) % 1.52/1.78 (declare-const tptp.powersetsubset Bool) % 1.52/1.78 (declare-const tptp.cartprodpairsurjEq Bool) % 1.52/1.78 (declare-const tptp.breln1compI Bool) % 1.52/1.78 (declare-const tptp.dpsetconstrI Bool) % 1.52/1.78 (declare-const tptp.breln (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.52/1.78 (declare-const tptp.funcext2 Bool) % 1.52/1.78 (declare-const tptp.binunionE Bool) % 1.52/1.78 (declare-const tptp.dpsetconstrERa Bool) % 1.52/1.78 (declare-const tptp.dpsetconstrEL1 Bool) % 1.52/1.78 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.52/1.78 (declare-const tptp.apProp Bool) % 1.52/1.78 (declare-const tptp.doubleComplementEq Bool) % 1.52/1.78 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.78 (declare-const tptp.emptysetE Bool) % 1.52/1.78 (declare-const tptp.infuncsetfunc Bool) % 1.52/1.78 (declare-const tptp.ap2p Bool) % 1.52/1.78 (declare-const tptp.exuE3e Bool) % 1.52/1.78 (declare-const tptp.funcinfuncset Bool) % 1.52/1.78 (declare-const tptp.lamProp Bool) % 1.52/1.78 (declare-const tptp.brelnall1 Bool) % 1.52/1.78 (declare-const tptp.setadjoinIR Bool) % 1.52/1.78 (declare-const tptp.setminusSubset1 Bool) % 1.52/1.78 (declare-const tptp.brelnall2 Bool) % 1.52/1.78 (declare-const tptp.uniqinunit Bool) % 1.52/1.78 (declare-const tptp.eqbreln Bool) % 1.52/1.78 (declare-const tptp.ap2apEq2 Bool) % 1.52/1.78 (declare-const tptp.cartprodmempair1 Bool) % 1.52/1.78 (declare-const tptp.beta2 Bool) % 1.52/1.78 (declare-const tptp.quantDeMorgan2 Bool) % 1.52/1.78 (declare-const tptp.eta2 Bool) % 1.52/1.78 (declare-const tptp.iffalseProp1 Bool) % 1.52/1.78 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.52/1.78 (declare-const tptp.iffalseProp2 Bool) % 1.52/1.78 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 1.52/1.78 (declare-const tptp.theeq Bool) % 1.52/1.78 (declare-const tptp.iftrueorfalse Bool) % 1.52/1.78 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 1.52/1.78 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.52/1.78 (define @t1 () (@var "B" $$unsorted)) % 1.52/1.78 (define @t2 () (@var "A" $$unsorted)) % 1.52/1.78 (define @t3 () (= @t2 @t1)) % 1.52/1.78 (define @t4 () (@var "Xx" $$unsorted)) % 1.52/1.78 (define @t5 () (_ tptp.in @t4)) % 1.52/1.78 (define @t6 () (_ @t5 @t1)) % 1.52/1.78 (define @t7 () (_ @t5 @t2)) % 1.52/1.78 (define @t8 () (= @t7 @t6)) % 1.52/1.78 (define @t9 () (@list @t4)) % 1.52/1.78 (define @t10 () (forall @t9 @t8)) % 1.52/1.78 (define @t11 () (=> @t10 @t3)) % 1.52/1.78 (define @t12 () (@list @t2 @t1)) % 1.52/1.78 (define @t13 () (forall @t12 @t11)) % 1.52/1.78 (define @t14 () (= tptp.setextAx @t13)) % 1.52/1.78 (define @t15 () (_ @t5 tptp.emptyset)) % 1.52/1.78 (define @t16 () (not @t15)) % 1.52/1.78 (define @t17 () (forall @t9 @t16)) % 1.52/1.78 (define @t18 () (= tptp.emptysetAx @t17)) % 1.52/1.78 (define @t19 () (@var "Xy" $$unsorted)) % 1.52/1.78 (define @t20 () (_ tptp.in @t19)) % 1.52/1.78 (define @t21 () (_ @t20 @t2)) % 1.52/1.78 (define @t22 () (= @t19 @t4)) % 1.52/1.78 (define @t23 () (or @t22 @t21)) % 1.52/1.78 (define @t24 () (_ tptp.setadjoin @t4)) % 1.52/1.78 (define @t25 () (_ @t24 @t2)) % 1.52/1.78 (define @t26 () (_ @t20 @t25)) % 1.52/1.78 (define @t27 () (= @t26 @t23)) % 1.52/1.78 (define @t28 () (@list @t4 @t2 @t19)) % 1.52/1.78 (define @t29 () (forall @t28 @t27)) % 1.52/1.78 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.52/1.78 (define @t31 () (=> @t6 @t7)) % 1.52/1.78 (define @t32 () (forall @t9 @t31)) % 1.52/1.78 (define @t33 () (_ tptp.powerset @t2)) % 1.52/1.78 (define @t34 () (_ tptp.in @t1)) % 1.52/1.78 (define @t35 () (_ @t34 @t33)) % 1.52/1.78 (define @t36 () (= @t35 @t32)) % 1.52/1.78 (define @t37 () (forall @t12 @t36)) % 1.52/1.78 (define @t38 () (= tptp.powersetAx @t37)) % 1.52/1.78 (define @t39 () (_ @t34 @t2)) % 1.52/1.78 (define @t40 () (and @t6 @t39)) % 1.52/1.78 (define @t41 () (@list @t1)) % 1.52/1.78 (define @t42 () (exists @t41 @t40)) % 1.52/1.78 (define @t43 () (_ tptp.setunion @t2)) % 1.52/1.78 (define @t44 () (_ @t5 @t43)) % 1.52/1.78 (define @t45 () (= @t44 @t42)) % 1.52/1.78 (define @t46 () (@list @t2 @t4)) % 1.52/1.78 (define @t47 () (forall @t46 @t45)) % 1.52/1.78 (define @t48 () (= tptp.setunionAx @t47)) % 1.52/1.78 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.52/1.78 (define @t50 () (_ @t49 tptp.omega)) % 1.52/1.78 (define @t51 () (_ @t24 @t4)) % 1.52/1.78 (define @t52 () (_ tptp.in @t51)) % 1.52/1.78 (define @t53 () (_ @t52 tptp.omega)) % 1.52/1.78 (define @t54 () (_ @t5 tptp.omega)) % 1.52/1.78 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.52/1.78 (define @t56 () (= tptp.omegaSAx @t55)) % 1.52/1.78 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.52/1.78 (define @t58 () (_ @t52 @t2)) % 1.52/1.78 (define @t59 () (and @t54 @t7)) % 1.52/1.78 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.52/1.78 (define @t61 () (_ @t49 @t2)) % 1.52/1.78 (define @t62 () (and @t61 @t60)) % 1.52/1.78 (define @t63 () (=> @t62 @t57)) % 1.52/1.78 (define @t64 () (@list @t2)) % 1.52/1.78 (define @t65 () (forall @t64 @t63)) % 1.52/1.78 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.52/1.78 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.52/1.78 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.52/1.78 (define @t69 () (and @t21 @t68)) % 1.52/1.78 (define @t70 () (@list @t19)) % 1.52/1.78 (define @t71 () (exists @t70 @t69)) % 1.52/1.78 (define @t72 () (= @t6 @t71)) % 1.52/1.78 (define @t73 () (forall @t9 @t72)) % 1.52/1.78 (define @t74 () (exists @t41 @t73)) % 1.52/1.78 (define @t75 () (_ @t67 @t4)) % 1.52/1.78 (define @t76 () (_ @t75 @t19)) % 1.52/1.78 (define @t77 () (lambda @t70 @t76)) % 1.52/1.78 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.52/1.78 (define @t79 () (forall @t9 @t78)) % 1.52/1.78 (define @t80 () (=> @t79 @t74)) % 1.52/1.78 (define @t81 () (@list @t67 @t2)) % 1.52/1.78 (define @t82 () (forall @t81 @t80)) % 1.52/1.78 (define @t83 () (= tptp.replAx @t82)) % 1.52/1.78 (define @t84 () (and @t6 @t7)) % 1.52/1.78 (define @t85 () (exists @t9 @t84)) % 1.52/1.78 (define @t86 () (not @t85)) % 1.52/1.78 (define @t87 () (and @t39 @t86)) % 1.52/1.78 (define @t88 () (exists @t41 @t87)) % 1.52/1.78 (define @t89 () (exists @t9 @t7)) % 1.52/1.78 (define @t90 () (=> @t89 @t88)) % 1.52/1.78 (define @t91 () (forall @t64 @t90)) % 1.52/1.78 (define @t92 () (= tptp.foundationAx @t91)) % 1.52/1.78 (define @t93 () (@var "E" $$unsorted)) % 1.52/1.78 (define @t94 () (_ @t5 @t93)) % 1.52/1.78 (define @t95 () (@var "D" $$unsorted)) % 1.52/1.78 (define @t96 () (_ @t20 @t95)) % 1.52/1.78 (define @t97 () (_ @t20 @t93)) % 1.52/1.78 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.52/1.78 (define @t99 () (or @t98 @t94)) % 1.52/1.78 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.52/1.78 (define @t101 () (=> @t100 @t99)) % 1.52/1.78 (define @t102 () (@list @t93)) % 1.52/1.78 (define @t103 () (forall @t102 @t101)) % 1.52/1.78 (define @t104 () (@var "C" $$unsorted)) % 1.52/1.78 (define @t105 () (_ @t20 @t104)) % 1.52/1.78 (define @t106 () (and @t96 @t105)) % 1.52/1.78 (define @t107 () (exists @t70 @t106)) % 1.52/1.78 (define @t108 () (not @t107)) % 1.52/1.78 (define @t109 () (_ @t5 @t104)) % 1.52/1.78 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.52/1.78 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.52/1.78 (define @t112 () (@list @t95 @t4)) % 1.52/1.78 (define @t113 () (exists @t112 @t111)) % 1.52/1.78 (define @t114 () (exists @t9 @t109)) % 1.52/1.78 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.52/1.78 (define @t116 () (and @t115 @t114)) % 1.52/1.78 (define @t117 () (=> @t116 @t113)) % 1.52/1.78 (define @t118 () (@list @t104)) % 1.52/1.78 (define @t119 () (forall @t118 @t117)) % 1.52/1.78 (define @t120 () (_ @t5 @t95)) % 1.52/1.78 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.52/1.78 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.52/1.78 (define @t123 () (or @t122 @t121)) % 1.52/1.78 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.52/1.78 (define @t125 () (and @t124 @t110)) % 1.52/1.78 (define @t126 () (=> @t125 @t123)) % 1.52/1.78 (define @t127 () (@list @t104 @t95)) % 1.52/1.78 (define @t128 () (forall @t127 @t126)) % 1.52/1.78 (define @t129 () (= @t4 @t19)) % 1.52/1.78 (define @t130 () (= @t109 @t105)) % 1.52/1.78 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.52/1.78 (define @t132 () (=> @t131 @t129)) % 1.52/1.78 (define @t133 () (and @t7 @t21)) % 1.52/1.78 (define @t134 () (=> @t133 @t132)) % 1.52/1.78 (define @t135 () (@list @t4 @t19)) % 1.52/1.78 (define @t136 () (forall @t135 @t134)) % 1.52/1.78 (define @t137 () (=> @t124 @t115)) % 1.52/1.78 (define @t138 () (forall @t118 @t137)) % 1.52/1.78 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.52/1.78 (define @t140 () (exists @t41 @t139)) % 1.52/1.78 (define @t141 () (forall @t64 @t140)) % 1.52/1.78 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.52/1.78 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.52/1.78 (define @t144 () (_ @t143 @t4)) % 1.52/1.78 (define @t145 () (lambda @t9 @t144)) % 1.52/1.78 (define @t146 () (_ tptp.descr @t145)) % 1.52/1.78 (define @t147 () (_ @t143 @t146)) % 1.52/1.78 (define @t148 () (_ tptp.exu @t145)) % 1.52/1.78 (define @t149 () (=> @t148 @t147)) % 1.52/1.78 (define @t150 () (@list @t143)) % 1.52/1.78 (define @t151 () (forall @t150 @t149)) % 1.52/1.78 (define @t152 () (= tptp.descrp @t151)) % 1.52/1.78 (define @t153 () (_ @t143 @t19)) % 1.52/1.78 (define @t154 () (lambda @t70 @t153)) % 1.52/1.78 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.52/1.78 (define @t156 () (_ @t155 @t154)) % 1.52/1.78 (define @t157 () (_ @t5 @t156)) % 1.52/1.78 (define @t158 () (=> @t144 @t157)) % 1.52/1.78 (define @t159 () (@list @t2 @t143 @t4)) % 1.52/1.78 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.52/1.78 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.52/1.78 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.52/1.78 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.52/1.78 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.52/1.78 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.52/1.78 (define @t166 () (=> @t153 @t129)) % 1.52/1.78 (define @t167 () (forall @t70 @t166)) % 1.52/1.78 (define @t168 () (and @t144 @t167)) % 1.52/1.78 (define @t169 () (exists @t9 @t168)) % 1.52/1.78 (define @t170 () (=> @t148 @t169)) % 1.52/1.78 (define @t171 () (forall @t150 @t170)) % 1.52/1.78 (define @t172 () (= tptp.exuE1 @t171)) % 1.52/1.78 (define @t173 () (@var "Xphi" Bool)) % 1.52/1.78 (define @t174 () (_ tptp.prop2set @t173)) % 1.52/1.78 (define @t175 () (_ @t5 @t174)) % 1.52/1.78 (define @t176 () (@list @t173 @t4)) % 1.52/1.78 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.52/1.78 (define @t178 () (= tptp.prop2setE @t177)) % 1.52/1.78 (define @t179 () (@list @t173)) % 1.52/1.78 (define @t180 () (forall @t179 @t173)) % 1.52/1.78 (define @t181 () (=> @t15 @t180)) % 1.52/1.78 (define @t182 () (forall @t9 @t181)) % 1.52/1.78 (define @t183 () (= tptp.emptysetE @t182)) % 1.52/1.78 (define @t184 () (forall @t9 (=> @t15 false))) % 1.52/1.78 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.52/1.78 (define @t186 () (exists @t9 @t144)) % 1.52/1.78 (define @t187 () (=> @t148 @t186)) % 1.52/1.78 (define @t188 () (forall @t150 @t187)) % 1.52/1.78 (define @t189 () (= tptp.exuE3e @t188)) % 1.52/1.78 (define @t190 () (=> @t32 @t3)) % 1.52/1.78 (define @t191 () (=> @t7 @t6)) % 1.52/1.78 (define @t192 () (forall @t9 @t191)) % 1.52/1.78 (define @t193 () (=> @t192 @t190)) % 1.52/1.78 (define @t194 () (forall @t12 @t193)) % 1.52/1.78 (define @t195 () (= tptp.setext @t194)) % 1.52/1.78 (define @t196 () (= @t2 tptp.emptyset)) % 1.52/1.78 (define @t197 () (not @t7)) % 1.52/1.78 (define @t198 () (forall @t9 @t197)) % 1.52/1.78 (define @t199 () (=> @t198 @t196)) % 1.52/1.78 (define @t200 () (forall @t64 @t199)) % 1.52/1.78 (define @t201 () (= tptp.emptyI @t200)) % 1.52/1.78 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.52/1.78 (define @t203 () (forall @t159 @t202)) % 1.52/1.78 (define @t204 () (= tptp.setbeta @t203)) % 1.52/1.78 (define @t205 () (_ tptp.nonempty @t2)) % 1.52/1.78 (define @t206 () (=> @t205 @t89)) % 1.52/1.78 (define @t207 () (forall @t64 @t206)) % 1.52/1.78 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.52/1.78 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.52/1.78 (define @t210 () (=> @t7 @t209)) % 1.52/1.78 (define @t211 () (forall @t159 @t210)) % 1.52/1.78 (define @t212 () (= tptp.nonemptyI @t211)) % 1.52/1.78 (define @t213 () (=> @t89 @t205)) % 1.52/1.78 (define @t214 () (forall @t64 @t213)) % 1.52/1.78 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.52/1.78 (define @t216 () (_ @t24 @t19)) % 1.52/1.78 (define @t217 () (_ @t5 @t216)) % 1.52/1.78 (define @t218 () (forall @t135 @t217)) % 1.52/1.78 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.52/1.78 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.52/1.78 (define @t221 () (_ @t49 @t220)) % 1.52/1.78 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.52/1.78 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.52/1.78 (define @t224 () (=> @t21 @t173)) % 1.52/1.78 (define @t225 () (=> @t224 @t173)) % 1.52/1.78 (define @t226 () (=> @t22 @t173)) % 1.52/1.78 (define @t227 () (=> @t226 @t225)) % 1.52/1.78 (define @t228 () (forall @t179 @t227)) % 1.52/1.78 (define @t229 () (=> @t26 @t228)) % 1.52/1.78 (define @t230 () (forall @t28 @t229)) % 1.52/1.78 (define @t231 () (= tptp.setadjoinE @t230)) % 1.52/1.78 (define @t232 () (=> @t26 @t23)) % 1.52/1.78 (define @t233 () (forall @t28 @t232)) % 1.52/1.78 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.52/1.78 (define @t235 () (lambda @t9 true)) % 1.52/1.78 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.52/1.78 (define @t237 () (forall @t64 @t236)) % 1.52/1.78 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.52/1.78 (define @t239 () (=> @t32 @t35)) % 1.52/1.78 (define @t240 () (forall @t12 @t239)) % 1.52/1.78 (define @t241 () (= tptp.powersetI @t240)) % 1.52/1.78 (define @t242 () (_ @t49 @t33)) % 1.52/1.78 (define @t243 () (forall @t64 @t242)) % 1.52/1.78 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.52/1.78 (define @t245 () (@list @t2 @t1 @t4)) % 1.52/1.78 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.52/1.78 (define @t247 () (= tptp.powersetE @t246)) % 1.52/1.78 (define @t248 () (=> @t39 @t44)) % 1.52/1.78 (define @t249 () (@list @t2 @t4 @t1)) % 1.52/1.78 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.52/1.78 (define @t251 () (= tptp.setunionI @t250)) % 1.52/1.78 (define @t252 () (=> @t39 @t173)) % 1.52/1.78 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.52/1.78 (define @t254 () (=> @t253 @t173)) % 1.52/1.78 (define @t255 () (forall @t179 @t254)) % 1.52/1.78 (define @t256 () (=> @t44 @t255)) % 1.52/1.78 (define @t257 () (forall @t46 @t256)) % 1.52/1.78 (define @t258 () (= tptp.setunionE @t257)) % 1.52/1.78 (define @t259 () (_ tptp.powerset @t43)) % 1.52/1.78 (define @t260 () (_ @t5 @t259)) % 1.52/1.78 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.52/1.78 (define @t262 () (= tptp.subPowSU @t261)) % 1.52/1.78 (define @t263 () (= @t153 @t22)) % 1.52/1.78 (define @t264 () (forall @t70 @t263)) % 1.52/1.78 (define @t265 () (exists @t9 @t264)) % 1.52/1.78 (define @t266 () (=> @t148 @t265)) % 1.52/1.78 (define @t267 () (forall @t150 @t266)) % 1.52/1.78 (define @t268 () (= tptp.exuE2 @t267)) % 1.52/1.78 (define @t269 () (and @t7 true)) % 1.52/1.78 (define @t270 () (exists @t9 @t269)) % 1.52/1.78 (define @t271 () (=> @t205 @t270)) % 1.52/1.78 (define @t272 () (forall @t64 @t271)) % 1.52/1.78 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.52/1.78 (define @t274 () (_ tptp.setadjoin @t19)) % 1.52/1.78 (define @t275 () (_ @t274 tptp.emptyset)) % 1.52/1.78 (define @t276 () (_ @t5 @t275)) % 1.52/1.78 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.52/1.78 (define @t278 () (= tptp.uniqinunit @t277)) % 1.52/1.78 (define @t279 () (_ @t24 tptp.emptyset)) % 1.52/1.78 (define @t280 () (_ @t20 @t279)) % 1.52/1.78 (define @t281 () (not @t280)) % 1.52/1.78 (define @t282 () (not @t129)) % 1.52/1.78 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.52/1.78 (define @t284 () (= tptp.notinsingleton @t283)) % 1.52/1.78 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.52/1.78 (define @t286 () (= tptp.eqinunit @t285)) % 1.52/1.78 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.52/1.78 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.52/1.78 (define @t289 () (@var "Xz" $$unsorted)) % 1.52/1.78 (define @t290 () (= @t289 @t19)) % 1.52/1.78 (define @t291 () (= @t289 @t4)) % 1.52/1.78 (define @t292 () (or @t291 @t290)) % 1.52/1.78 (define @t293 () (_ @t24 @t275)) % 1.52/1.78 (define @t294 () (_ tptp.in @t289)) % 1.52/1.78 (define @t295 () (_ @t294 @t293)) % 1.52/1.78 (define @t296 () (=> @t295 @t292)) % 1.52/1.78 (define @t297 () (@list @t4 @t19 @t289)) % 1.52/1.78 (define @t298 () (forall @t297 @t296)) % 1.52/1.78 (define @t299 () (= tptp.upairsetE @t298)) % 1.52/1.78 (define @t300 () (_ @t5 @t293)) % 1.52/1.78 (define @t301 () (forall @t135 @t300)) % 1.52/1.78 (define @t302 () (= tptp.upairsetIL @t301)) % 1.52/1.78 (define @t303 () (_ @t20 @t293)) % 1.52/1.78 (define @t304 () (forall @t135 @t303)) % 1.52/1.78 (define @t305 () (= tptp.upairsetIR @t304)) % 1.52/1.78 (define @t306 () (_ @t155 @t145)) % 1.52/1.78 (define @t307 () (= @t306 tptp.emptyset)) % 1.52/1.78 (define @t308 () (and @t7 @t144)) % 1.52/1.78 (define @t309 () (exists @t9 @t308)) % 1.52/1.78 (define @t310 () (=> @t309 (=> @t307 false))) % 1.52/1.78 (define @t311 () (@list @t2 @t143)) % 1.52/1.78 (define @t312 () (forall @t311 @t310)) % 1.52/1.78 (define @t313 () (= tptp.emptyE1 @t312)) % 1.52/1.78 (define @t314 () (@list @t143 @t4)) % 1.52/1.78 (define @t315 () (forall @t314 (=> @t15 @t144))) % 1.52/1.78 (define @t316 () (= tptp.vacuousDall @t315)) % 1.52/1.78 (define @t317 () (not @t144)) % 1.52/1.78 (define @t318 () (and @t7 @t317)) % 1.52/1.78 (define @t319 () (exists @t9 @t318)) % 1.52/1.78 (define @t320 () (forall @t9 (=> @t7 @t144))) % 1.52/1.78 (define @t321 () (not @t320)) % 1.52/1.78 (define @t322 () (=> @t321 @t319)) % 1.52/1.78 (define @t323 () (forall @t311 @t322)) % 1.52/1.78 (define @t324 () (= tptp.quantDeMorgan1 @t323)) % 1.52/1.78 (define @t325 () (not @t309)) % 1.52/1.78 (define @t326 () (forall @t9 (=> @t7 @t317))) % 1.52/1.78 (define @t327 () (=> @t326 @t325)) % 1.52/1.78 (define @t328 () (forall @t311 @t327)) % 1.52/1.78 (define @t329 () (= tptp.quantDeMorgan2 @t328)) % 1.52/1.78 (define @t330 () (=> @t325 @t326)) % 1.52/1.78 (define @t331 () (forall @t311 @t330)) % 1.52/1.78 (define @t332 () (= tptp.quantDeMorgan3 @t331)) % 1.52/1.78 (define @t333 () (=> @t319 @t321)) % 1.52/1.78 (define @t334 () (forall @t311 @t333)) % 1.52/1.78 (define @t335 () (= tptp.quantDeMorgan4 @t334)) % 1.52/1.78 (define @t336 () (_ @t49 @t174)) % 1.52/1.78 (define @t337 () (forall @t179 (=> @t173 @t336))) % 1.52/1.78 (define @t338 () (= tptp.prop2setI @t337)) % 1.52/1.78 (define @t339 () (_ tptp.set2prop @t174)) % 1.52/1.78 (define @t340 () (forall @t179 (=> @t173 @t339))) % 1.52/1.78 (define @t341 () (= tptp.prop2set2propI @t340)) % 1.52/1.78 (define @t342 () (=> @t169 @t148)) % 1.52/1.78 (define @t343 () (forall @t150 @t342)) % 1.52/1.78 (define @t344 () (= tptp.exuI1 @t343)) % 1.52/1.78 (define @t345 () (=> @t144 @t166)) % 1.52/1.78 (define @t346 () (forall @t135 @t345)) % 1.52/1.78 (define @t347 () (=> @t346 @t148)) % 1.52/1.78 (define @t348 () (=> @t186 @t347)) % 1.52/1.78 (define @t349 () (forall @t150 @t348)) % 1.52/1.78 (define @t350 () (= tptp.exuI3 @t349)) % 1.52/1.78 (define @t351 () (=> @t265 @t148)) % 1.52/1.78 (define @t352 () (forall @t150 @t351)) % 1.52/1.78 (define @t353 () (= tptp.exuI2 @t352)) % 1.52/1.78 (define @t354 () (_ @t20 @t1)) % 1.52/1.78 (define @t355 () (=> @t7 @t354)) % 1.52/1.78 (define @t356 () (forall @t135 (=> @t129 @t355))) % 1.52/1.78 (define @t357 () (=> @t3 @t356)) % 1.52/1.78 (define @t358 () (forall @t12 @t357)) % 1.52/1.78 (define @t359 () (= tptp.inCongP @t358)) % 1.52/1.78 (define @t360 () (= @t7 @t354)) % 1.52/1.78 (define @t361 () (forall @t135 (=> @t129 @t360))) % 1.52/1.78 (define @t362 () (=> @t3 @t361)) % 1.52/1.78 (define @t363 () (forall @t12 @t362)) % 1.52/1.78 (define @t364 () (= tptp.in__Cong @t363)) % 1.52/1.78 (define @t365 () (=> @t148 @t346)) % 1.52/1.78 (define @t366 () (forall @t150 @t365)) % 1.52/1.78 (define @t367 () (= tptp.exuE3u @t366)) % 1.52/1.78 (define @t368 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.52/1.78 (define @t369 () (_ @t368 @t4)) % 1.52/1.78 (define @t370 () (lambda @t9 @t369)) % 1.52/1.78 (define @t371 () (_ tptp.exu @t370)) % 1.52/1.78 (define @t372 () (= @t148 @t371)) % 1.52/1.78 (define @t373 () (_ @t368 @t19)) % 1.52/1.78 (define @t374 () (= @t144 @t373)) % 1.52/1.78 (define @t375 () (=> @t129 @t374)) % 1.52/1.78 (define @t376 () (forall @t135 @t375)) % 1.52/1.78 (define @t377 () (=> @t376 @t372)) % 1.52/1.78 (define @t378 () (@list @t143 @t368)) % 1.52/1.78 (define @t379 () (forall @t378 @t377)) % 1.52/1.78 (define @t380 () (= tptp.exu__Cong @t379)) % 1.52/1.78 (define @t381 () (= tptp.emptyset tptp.emptyset)) % 1.52/1.78 (define @t382 () (= tptp.emptyset__Cong @t381)) % 1.52/1.78 (define @t383 () (@var "Xu" $$unsorted)) % 1.52/1.78 (define @t384 () (_ @t274 @t383)) % 1.52/1.78 (define @t385 () (_ @t24 @t289)) % 1.52/1.78 (define @t386 () (= @t385 @t384)) % 1.52/1.78 (define @t387 () (= @t289 @t383)) % 1.52/1.78 (define @t388 () (@list @t289 @t383)) % 1.52/1.78 (define @t389 () (forall @t388 (=> @t387 @t386))) % 1.52/1.78 (define @t390 () (=> @t129 @t389)) % 1.52/1.78 (define @t391 () (forall @t135 @t390)) % 1.52/1.78 (define @t392 () (= tptp.setadjoin__Cong @t391)) % 1.52/1.78 (define @t393 () (_ tptp.powerset @t1)) % 1.52/1.78 (define @t394 () (= @t33 @t393)) % 1.52/1.78 (define @t395 () (forall @t12 (=> @t3 @t394))) % 1.52/1.78 (define @t396 () (= tptp.powerset__Cong @t395)) % 1.52/1.78 (define @t397 () (_ tptp.setunion @t1)) % 1.52/1.78 (define @t398 () (= @t43 @t397)) % 1.52/1.78 (define @t399 () (forall @t12 (=> @t3 @t398))) % 1.52/1.78 (define @t400 () (= tptp.setunion__Cong @t399)) % 1.52/1.78 (define @t401 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.52/1.78 (define @t402 () (= tptp.exuEu @t366)) % 1.52/1.78 (define @t403 () (_ tptp.descr @t370)) % 1.52/1.78 (define @t404 () (= @t146 @t403)) % 1.52/1.78 (define @t405 () (=> @t371 @t404)) % 1.52/1.78 (define @t406 () (=> @t148 @t405)) % 1.52/1.78 (define @t407 () (=> @t376 @t406)) % 1.52/1.78 (define @t408 () (forall @t378 @t407)) % 1.52/1.78 (define @t409 () (= tptp.descr__Cong @t408)) % 1.52/1.78 (define @t410 () (_ tptp.dsetconstr @t1)) % 1.52/1.78 (define @t411 () (_ @t410 @t370)) % 1.52/1.78 (define @t412 () (= @t306 @t411)) % 1.52/1.78 (define @t413 () (forall @t70 (=> @t354 @t375))) % 1.52/1.78 (define @t414 () (=> @t7 @t413)) % 1.52/1.78 (define @t415 () (forall @t9 @t414)) % 1.52/1.78 (define @t416 () (=> @t415 @t412)) % 1.52/1.78 (define @t417 () (forall @t378 @t416)) % 1.52/1.78 (define @t418 () (=> @t3 @t417)) % 1.52/1.78 (define @t419 () (forall @t12 @t418)) % 1.52/1.78 (define @t420 () (= tptp.dsetconstr__Cong @t419)) % 1.52/1.78 (define @t421 () (_ tptp.subset @t2)) % 1.52/1.78 (define @t422 () (_ @t421 @t1)) % 1.52/1.78 (define @t423 () (=> @t192 @t422)) % 1.52/1.78 (define @t424 () (forall @t12 @t423)) % 1.52/1.78 (define @t425 () (= tptp.subsetI1 @t424)) % 1.52/1.78 (define @t426 () (_ tptp.subset @t1)) % 1.52/1.78 (define @t427 () (_ @t426 @t2)) % 1.52/1.78 (define @t428 () (forall @t12 (=> @t3 @t427))) % 1.52/1.78 (define @t429 () (= tptp.eqimpsubset2 @t428)) % 1.52/1.78 (define @t430 () (forall @t12 (=> @t3 @t422))) % 1.52/1.78 (define @t431 () (= tptp.eqimpsubset1 @t430)) % 1.52/1.78 (define @t432 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.52/1.78 (define @t433 () (forall @t64 @t432)) % 1.52/1.78 (define @t434 () (= tptp.emptysetsubset @t433)) % 1.52/1.78 (define @t435 () (forall @t245 (=> @t422 @t191))) % 1.52/1.78 (define @t436 () (= tptp.subsetE @t435)) % 1.52/1.78 (define @t437 () (not @t6)) % 1.52/1.78 (define @t438 () (=> @t437 @t197)) % 1.52/1.78 (define @t439 () (forall @t245 (=> @t422 @t438))) % 1.52/1.78 (define @t440 () (= tptp.subsetE2 @t439)) % 1.52/1.78 (define @t441 () (not @t422)) % 1.52/1.78 (define @t442 () (=> @t437 @t441)) % 1.52/1.78 (define @t443 () (forall @t245 (=> @t7 @t442))) % 1.52/1.78 (define @t444 () (= tptp.notsubsetI @t443)) % 1.52/1.78 (define @t445 () (not @t3)) % 1.52/1.78 (define @t446 () (forall @t12 (=> @t441 @t445))) % 1.52/1.78 (define @t447 () (= tptp.notequalI1 @t446)) % 1.52/1.78 (define @t448 () (=> @t437 @t445)) % 1.52/1.78 (define @t449 () (forall @t245 (=> @t7 @t448))) % 1.52/1.78 (define @t450 () (= tptp.notequalI2 @t449)) % 1.52/1.78 (define @t451 () (_ @t421 @t2)) % 1.52/1.78 (define @t452 () (forall @t64 @t451)) % 1.52/1.78 (define @t453 () (= tptp.subsetRefl @t452)) % 1.52/1.78 (define @t454 () (_ @t421 @t104)) % 1.52/1.78 (define @t455 () (_ @t426 @t104)) % 1.52/1.78 (define @t456 () (=> @t455 @t454)) % 1.52/1.78 (define @t457 () (@list @t2 @t1 @t104)) % 1.52/1.78 (define @t458 () (forall @t457 (=> @t422 @t456))) % 1.52/1.78 (define @t459 () (= tptp.subsetTrans @t458)) % 1.52/1.78 (define @t460 () (_ @t421 @t25)) % 1.52/1.78 (define @t461 () (@list @t4 @t2)) % 1.52/1.78 (define @t462 () (forall @t461 @t460)) % 1.52/1.78 (define @t463 () (= tptp.setadjoinSub @t462)) % 1.52/1.78 (define @t464 () (_ @t24 @t1)) % 1.52/1.78 (define @t465 () (_ @t421 @t464)) % 1.52/1.78 (define @t466 () (forall @t249 (=> @t422 @t465))) % 1.52/1.78 (define @t467 () (= tptp.setadjoinSub2 @t466)) % 1.52/1.78 (define @t468 () (_ tptp.in @t2)) % 1.52/1.78 (define @t469 () (_ @t468 @t393)) % 1.52/1.78 (define @t470 () (forall @t12 (=> @t422 @t469))) % 1.52/1.78 (define @t471 () (= tptp.subset2powerset @t470)) % 1.52/1.78 (define @t472 () (=> @t427 @t3)) % 1.52/1.78 (define @t473 () (forall @t12 (=> @t422 @t472))) % 1.52/1.78 (define @t474 () (= tptp.setextsub @t473)) % 1.52/1.78 (define @t475 () (_ @t421 tptp.emptyset)) % 1.52/1.78 (define @t476 () (forall @t64 (=> @t475 @t196))) % 1.52/1.78 (define @t477 () (= tptp.subsetemptysetimpeq @t476)) % 1.52/1.78 (define @t478 () (forall @t12 (=> @t427 @t35))) % 1.52/1.78 (define @t479 () (= tptp.powersetI1 @t478)) % 1.52/1.78 (define @t480 () (forall @t12 (=> @t35 @t427))) % 1.52/1.78 (define @t481 () (= tptp.powersetE1 @t480)) % 1.52/1.78 (define @t482 () (_ @t468 @t33)) % 1.52/1.78 (define @t483 () (forall @t64 @t482)) % 1.52/1.78 (define @t484 () (= tptp.inPowerset @t483)) % 1.52/1.78 (define @t485 () (_ (_ tptp.subset @t33) @t393)) % 1.52/1.78 (define @t486 () (forall @t12 (=> @t422 @t485))) % 1.52/1.78 (define @t487 () (= tptp.powersetsubset @t486)) % 1.52/1.78 (define @t488 () (_ (_ tptp.in @t306) @t33)) % 1.52/1.78 (define @t489 () (forall @t311 @t488)) % 1.52/1.78 (define @t490 () (= tptp.sepInPowerset @t489)) % 1.52/1.78 (define @t491 () (_ (_ tptp.subset @t306) @t2)) % 1.52/1.78 (define @t492 () (forall @t311 @t491)) % 1.52/1.78 (define @t493 () (= tptp.sepSubset @t492)) % 1.52/1.78 (define @t494 () (_ (_ tptp.binunion @t2) @t1)) % 1.52/1.78 (define @t495 () (_ @t5 @t494)) % 1.52/1.78 (define @t496 () (forall @t245 (=> @t7 @t495))) % 1.52/1.78 (define @t497 () (= tptp.binunionIL @t496)) % 1.52/1.78 (define @t498 () (forall @t245 (=> @t6 @t495))) % 1.52/1.78 (define @t499 () (= tptp.binunionIR @t498)) % 1.52/1.78 (define @t500 () (=> @t6 @t173)) % 1.52/1.78 (define @t501 () (=> @t500 @t173)) % 1.52/1.78 (define @t502 () (=> @t7 @t173)) % 1.52/1.78 (define @t503 () (=> @t502 @t501)) % 1.52/1.78 (define @t504 () (@list @t2 @t1 @t4 @t173)) % 1.52/1.78 (define @t505 () (forall @t504 (=> @t495 @t503))) % 1.52/1.78 (define @t506 () (= tptp.binunionEcases @t505)) % 1.52/1.78 (define @t507 () (or @t7 @t6)) % 1.52/1.78 (define @t508 () (forall @t245 (=> @t495 @t507))) % 1.52/1.78 (define @t509 () (= tptp.binunionE @t508)) % 1.52/1.78 (define @t510 () (_ @t421 @t494)) % 1.52/1.78 (define @t511 () (forall @t12 @t510)) % 1.52/1.78 (define @t512 () (= tptp.binunionLsub @t511)) % 1.52/1.78 (define @t513 () (_ @t426 @t494)) % 1.52/1.78 (define @t514 () (forall @t12 @t513)) % 1.52/1.78 (define @t515 () (= tptp.binunionRsub @t514)) % 1.52/1.78 (define @t516 () (_ tptp.binintersect @t2)) % 1.52/1.78 (define @t517 () (_ @t516 @t1)) % 1.52/1.78 (define @t518 () (_ @t5 @t517)) % 1.52/1.78 (define @t519 () (=> @t6 @t518)) % 1.52/1.78 (define @t520 () (forall @t245 (=> @t7 @t519))) % 1.52/1.78 (define @t521 () (= tptp.binintersectI @t520)) % 1.52/1.78 (define @t522 () (_ tptp.subset @t104)) % 1.52/1.78 (define @t523 () (_ @t522 @t517)) % 1.52/1.78 (define @t524 () (_ @t522 @t1)) % 1.52/1.78 (define @t525 () (=> @t524 @t523)) % 1.52/1.78 (define @t526 () (_ @t522 @t2)) % 1.52/1.78 (define @t527 () (forall @t457 (=> @t526 @t525))) % 1.52/1.78 (define @t528 () (= tptp.binintersectSubset5 @t527)) % 1.52/1.78 (define @t529 () (forall @t245 (=> @t518 @t7))) % 1.52/1.78 (define @t530 () (= tptp.binintersectEL @t529)) % 1.52/1.78 (define @t531 () (_ tptp.subset @t517)) % 1.52/1.78 (define @t532 () (_ @t531 @t2)) % 1.52/1.78 (define @t533 () (forall @t12 @t532)) % 1.52/1.78 (define @t534 () (= tptp.binintersectLsub @t533)) % 1.52/1.78 (define @t535 () (= @t517 @t2)) % 1.52/1.78 (define @t536 () (=> @t422 @t535)) % 1.52/1.78 (define @t537 () (forall @t12 @t536)) % 1.52/1.78 (define @t538 () (= tptp.binintersectSubset2 @t537)) % 1.52/1.78 (define @t539 () (= @t517 @t1)) % 1.52/1.78 (define @t540 () (=> @t539 @t427)) % 1.52/1.78 (define @t541 () (forall @t12 @t540)) % 1.52/1.78 (define @t542 () (= tptp.binintersectSubset3 @t541)) % 1.52/1.78 (define @t543 () (forall @t245 (=> @t518 @t6))) % 1.52/1.78 (define @t544 () (= tptp.binintersectER @t543)) % 1.52/1.78 (define @t545 () (and @t7 @t6)) % 1.52/1.78 (define @t546 () (exists @t9 @t545)) % 1.52/1.78 (define @t547 () (not @t546)) % 1.52/1.78 (define @t548 () (=> @t547 (= @t517 tptp.emptyset))) % 1.52/1.78 (define @t549 () (forall @t12 @t548)) % 1.52/1.78 (define @t550 () (= tptp.disjointsetsI1 @t549)) % 1.52/1.78 (define @t551 () (_ @t531 @t1)) % 1.52/1.78 (define @t552 () (forall @t12 @t551)) % 1.52/1.78 (define @t553 () (= tptp.binintersectRsub @t552)) % 1.52/1.78 (define @t554 () (=> @t427 @t539)) % 1.52/1.78 (define @t555 () (forall @t12 @t554)) % 1.52/1.78 (define @t556 () (= tptp.binintersectSubset4 @t555)) % 1.52/1.78 (define @t557 () (=> @t535 @t422)) % 1.52/1.78 (define @t558 () (forall @t12 @t557)) % 1.52/1.78 (define @t559 () (= tptp.binintersectSubset1 @t558)) % 1.52/1.78 (define @t560 () (_ @t516 @t104)) % 1.52/1.78 (define @t561 () (_ (_ tptp.binunion @t517) @t560)) % 1.52/1.78 (define @t562 () (_ (_ tptp.binunion @t1) @t104)) % 1.52/1.78 (define @t563 () (_ @t516 @t562)) % 1.52/1.78 (define @t564 () (= @t563 @t561)) % 1.52/1.78 (define @t565 () (forall @t457 @t564)) % 1.52/1.78 (define @t566 () (= tptp.bs114d @t565)) % 1.52/1.78 (define @t567 () (_ tptp.setminus @t2)) % 1.52/1.78 (define @t568 () (_ @t567 @t1)) % 1.52/1.78 (define @t569 () (_ @t5 @t568)) % 1.52/1.78 (define @t570 () (=> @t437 @t569)) % 1.52/1.78 (define @t571 () (forall @t245 (=> @t7 @t570))) % 1.52/1.78 (define @t572 () (= tptp.setminusI @t571)) % 1.52/1.78 (define @t573 () (forall @t245 (=> @t569 @t7))) % 1.52/1.78 (define @t574 () (= tptp.setminusEL @t573)) % 1.52/1.78 (define @t575 () (forall @t245 (=> @t569 @t437))) % 1.52/1.78 (define @t576 () (= tptp.setminusER @t575)) % 1.52/1.78 (define @t577 () (= @t568 tptp.emptyset)) % 1.52/1.78 (define @t578 () (=> @t422 @t577)) % 1.52/1.78 (define @t579 () (forall @t12 @t578)) % 1.52/1.78 (define @t580 () (= tptp.setminusSubset2 @t579)) % 1.52/1.78 (define @t581 () (not @t569)) % 1.52/1.78 (define @t582 () (forall @t245 (=> @t581 @t191))) % 1.52/1.78 (define @t583 () (= tptp.setminusERneg @t582)) % 1.52/1.78 (define @t584 () (forall @t245 (=> @t581 @t438))) % 1.52/1.78 (define @t585 () (= tptp.setminusELneg @t584)) % 1.52/1.78 (define @t586 () (forall @t245 (=> @t197 @t581))) % 1.52/1.78 (define @t587 () (= tptp.setminusILneg @t586)) % 1.52/1.78 (define @t588 () (forall @t245 (=> @t6 @t581))) % 1.52/1.78 (define @t589 () (= tptp.setminusIRneg @t588)) % 1.52/1.78 (define @t590 () (_ (_ tptp.subset @t568) @t2)) % 1.52/1.78 (define @t591 () (forall @t12 @t590)) % 1.52/1.78 (define @t592 () (= tptp.setminusLsub @t591)) % 1.52/1.78 (define @t593 () (=> @t577 @t422)) % 1.52/1.78 (define @t594 () (forall @t12 @t593)) % 1.52/1.78 (define @t595 () (= tptp.setminusSubset1 @t594)) % 1.52/1.78 (define @t596 () (=> @t197 @t500)) % 1.52/1.78 (define @t597 () (=> @t596 @t173)) % 1.52/1.78 (define @t598 () (=> @t437 @t173)) % 1.52/1.78 (define @t599 () (=> @t7 @t598)) % 1.52/1.78 (define @t600 () (forall @t179 (=> @t599 @t597))) % 1.52/1.78 (define @t601 () (_ (_ tptp.symdiff @t2) @t1)) % 1.52/1.78 (define @t602 () (_ @t5 @t601)) % 1.52/1.78 (define @t603 () (=> @t602 @t600)) % 1.52/1.78 (define @t604 () (forall @t245 @t603)) % 1.52/1.78 (define @t605 () (= tptp.symdiffE @t604)) % 1.52/1.78 (define @t606 () (=> @t437 @t602)) % 1.52/1.78 (define @t607 () (forall @t245 (=> @t7 @t606))) % 1.52/1.78 (define @t608 () (= tptp.symdiffI1 @t607)) % 1.52/1.78 (define @t609 () (=> @t6 @t602)) % 1.52/1.78 (define @t610 () (forall @t245 (=> @t197 @t609))) % 1.52/1.78 (define @t611 () (= tptp.symdiffI2 @t610)) % 1.52/1.78 (define @t612 () (not @t602)) % 1.52/1.78 (define @t613 () (=> @t6 @t612)) % 1.52/1.78 (define @t614 () (forall @t245 (=> @t7 @t613))) % 1.52/1.78 (define @t615 () (= tptp.symdiffIneg1 @t614)) % 1.52/1.78 (define @t616 () (=> @t437 @t612)) % 1.52/1.78 (define @t617 () (forall @t245 (=> @t197 @t616))) % 1.52/1.78 (define @t618 () (= tptp.symdiffIneg2 @t617)) % 1.52/1.78 (define @t619 () (_ (_ tptp.setadjoin @t293) tptp.emptyset)) % 1.52/1.78 (define @t620 () (_ tptp.setadjoin @t279)) % 1.52/1.78 (define @t621 () (_ @t620 @t619)) % 1.52/1.78 (define @t622 () (_ tptp.setunion @t621)) % 1.52/1.78 (define @t623 () (_ @t5 @t622)) % 1.52/1.78 (define @t624 () (forall @t135 @t623)) % 1.52/1.78 (define @t625 () (= tptp.setukpairIL @t624)) % 1.52/1.78 (define @t626 () (_ @t20 @t622)) % 1.52/1.78 (define @t627 () (forall @t135 @t626)) % 1.52/1.78 (define @t628 () (= tptp.setukpairIR @t627)) % 1.52/1.78 (define @t629 () (_ tptp.iskpair @t621)) % 1.52/1.78 (define @t630 () (forall @t135 @t629)) % 1.52/1.78 (define @t631 () (= tptp.kpairiskpair @t630)) % 1.52/1.78 (define @t632 () (_ tptp.kpair @t4)) % 1.52/1.78 (define @t633 () (_ @t632 @t19)) % 1.52/1.78 (define @t634 () (_ tptp.iskpair @t633)) % 1.52/1.78 (define @t635 () (forall @t135 @t634)) % 1.52/1.78 (define @t636 () (= tptp.kpairp @t635)) % 1.52/1.78 (define @t637 () (_ (_ tptp.subset @t279) @t2)) % 1.52/1.78 (define @t638 () (forall @t46 (=> @t7 @t637))) % 1.52/1.78 (define @t639 () (= tptp.singletonsubset @t638)) % 1.52/1.78 (define @t640 () (_ tptp.in @t279)) % 1.52/1.78 (define @t641 () (_ @t640 @t33)) % 1.52/1.78 (define @t642 () (forall @t46 (=> @t7 @t641))) % 1.52/1.78 (define @t643 () (= tptp.singletoninpowerset @t642)) % 1.52/1.78 (define @t644 () (_ tptp.powerset @t494)) % 1.52/1.78 (define @t645 () (_ @t640 @t644)) % 1.52/1.78 (define @t646 () (forall @t245 (=> @t7 @t645))) % 1.52/1.78 (define @t647 () (= tptp.singletoninpowunion @t646)) % 1.52/1.78 (define @t648 () (_ (_ tptp.subset @t293) @t494)) % 1.52/1.78 (define @t649 () (forall @t70 (=> @t354 @t648))) % 1.52/1.78 (define @t650 () (=> @t7 @t649)) % 1.52/1.78 (define @t651 () (forall @t245 @t650)) % 1.52/1.78 (define @t652 () (= tptp.upairsubunion @t651)) % 1.52/1.78 (define @t653 () (_ (_ tptp.in @t293) @t644)) % 1.52/1.78 (define @t654 () (forall @t70 (=> @t354 @t653))) % 1.52/1.78 (define @t655 () (=> @t7 @t654)) % 1.52/1.78 (define @t656 () (forall @t245 @t655)) % 1.52/1.78 (define @t657 () (= tptp.upairinpowunion @t656)) % 1.52/1.78 (define @t658 () (_ (_ tptp.subset @t621) @t644)) % 1.52/1.78 (define @t659 () (forall @t70 (=> @t354 @t658))) % 1.52/1.78 (define @t660 () (=> @t7 @t659)) % 1.52/1.78 (define @t661 () (forall @t245 @t660)) % 1.52/1.78 (define @t662 () (= tptp.ubforcartprodlem1 @t661)) % 1.52/1.78 (define @t663 () (_ tptp.powerset @t644)) % 1.52/1.78 (define @t664 () (_ (_ tptp.in @t621) @t663)) % 1.52/1.78 (define @t665 () (forall @t70 (=> @t354 @t664))) % 1.52/1.78 (define @t666 () (=> @t7 @t665)) % 1.52/1.78 (define @t667 () (forall @t245 @t666)) % 1.52/1.78 (define @t668 () (= tptp.ubforcartprodlem2 @t667)) % 1.52/1.78 (define @t669 () (_ tptp.in @t633)) % 1.52/1.78 (define @t670 () (_ @t669 @t663)) % 1.52/1.78 (define @t671 () (forall @t70 (=> @t354 @t670))) % 1.52/1.78 (define @t672 () (=> @t7 @t671)) % 1.52/1.78 (define @t673 () (forall @t245 @t672)) % 1.52/1.78 (define @t674 () (= tptp.ubforcartprodlem3 @t673)) % 1.52/1.78 (define @t675 () (_ (_ tptp.cartprod @t2) @t1)) % 1.52/1.78 (define @t676 () (_ @t669 @t675)) % 1.52/1.78 (define @t677 () (forall @t70 (=> @t354 @t676))) % 1.52/1.78 (define @t678 () (=> @t7 @t677)) % 1.52/1.78 (define @t679 () (forall @t245 @t678)) % 1.52/1.78 (define @t680 () (= tptp.cartprodpairin @t679)) % 1.52/1.78 (define @t681 () (= @t383 @t633)) % 1.52/1.78 (define @t682 () (and @t354 @t681)) % 1.52/1.78 (define @t683 () (exists @t70 @t682)) % 1.52/1.78 (define @t684 () (and @t7 @t683)) % 1.52/1.78 (define @t685 () (exists @t9 @t684)) % 1.52/1.78 (define @t686 () (_ tptp.in @t383)) % 1.52/1.78 (define @t687 () (_ @t686 @t675)) % 1.52/1.78 (define @t688 () (=> @t687 @t685)) % 1.52/1.78 (define @t689 () (@list @t2 @t1 @t383)) % 1.52/1.78 (define @t690 () (forall @t689 @t688)) % 1.52/1.78 (define @t691 () (= tptp.cartprodmempair1 @t690)) % 1.52/1.78 (define @t692 () (_ tptp.iskpair @t383)) % 1.52/1.78 (define @t693 () (forall @t689 (=> @t687 @t692))) % 1.52/1.78 (define @t694 () (= tptp.cartprodmempair @t693)) % 1.52/1.78 (define @t695 () (@var "X" $$unsorted)) % 1.52/1.78 (define @t696 () (_ @t5 @t695)) % 1.52/1.78 (define @t697 () (_ tptp.in @t695)) % 1.52/1.78 (define @t698 () (_ @t697 @t2)) % 1.52/1.78 (define @t699 () (and @t698 @t696)) % 1.52/1.78 (define @t700 () (@list @t695)) % 1.52/1.78 (define @t701 () (exists @t700 @t699)) % 1.52/1.78 (define @t702 () (=> @t44 @t701)) % 1.52/1.78 (define @t703 () (forall @t46 @t702)) % 1.52/1.78 (define @t704 () (= tptp.setunionE2 @t703)) % 1.52/1.78 (define @t705 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 1.52/1.78 (define @t706 () (_ tptp.setunion @t705)) % 1.52/1.78 (define @t707 () (_ (_ tptp.subset @t706) @t2)) % 1.52/1.78 (define @t708 () (forall @t64 @t707)) % 1.52/1.78 (define @t709 () (= tptp.setunionsingleton1 @t708)) % 1.52/1.78 (define @t710 () (_ @t421 @t706)) % 1.52/1.78 (define @t711 () (forall @t64 @t710)) % 1.52/1.78 (define @t712 () (= tptp.setunionsingleton2 @t711)) % 1.52/1.78 (define @t713 () (_ tptp.setunion @t279)) % 1.52/1.78 (define @t714 () (forall @t9 (= @t713 @t4))) % 1.52/1.78 (define @t715 () (= tptp.setunionsingleton @t714)) % 1.52/1.78 (define @t716 () (_ tptp.singleton @t306)) % 1.52/1.78 (define @t717 () (=> @t309 @t716)) % 1.52/1.78 (define @t718 () (forall @t70 (=> @t21 @t345))) % 1.52/1.78 (define @t719 () (=> @t7 @t718)) % 1.52/1.78 (define @t720 () (forall @t9 @t719)) % 1.52/1.78 (define @t721 () (=> @t720 @t717)) % 1.52/1.78 (define @t722 () (forall @t311 @t721)) % 1.52/1.78 (define @t723 () (= tptp.singletonprop @t722)) % 1.52/1.78 (define @t724 () (_ tptp.ex1 @t2)) % 1.52/1.78 (define @t725 () (_ @t724 @t145)) % 1.52/1.78 (define @t726 () (=> @t725 @t309)) % 1.52/1.78 (define @t727 () (forall @t311 @t726)) % 1.52/1.78 (define @t728 () (= tptp.ex1E1 @t727)) % 1.52/1.78 (define @t729 () (_ @t724 @t154)) % 1.52/1.78 (define @t730 () (=> @t153 @t22)) % 1.52/1.78 (define @t731 () (=> @t21 @t730)) % 1.52/1.78 (define @t732 () (forall @t70 @t731)) % 1.52/1.78 (define @t733 () (=> @t732 @t729)) % 1.52/1.78 (define @t734 () (=> @t144 @t733)) % 1.52/1.78 (define @t735 () (=> @t7 @t734)) % 1.52/1.78 (define @t736 () (forall @t159 @t735)) % 1.52/1.78 (define @t737 () (= tptp.ex1I @t736)) % 1.52/1.78 (define @t738 () (=> @t309 @t725)) % 1.52/1.78 (define @t739 () (=> @t720 @t738)) % 1.52/1.78 (define @t740 () (forall @t311 @t739)) % 1.52/1.78 (define @t741 () (= tptp.ex1I2 @t740)) % 1.52/1.78 (define @t742 () (=> (= @t279 @t275) @t129)) % 1.52/1.78 (define @t743 () (forall @t135 @t742)) % 1.52/1.78 (define @t744 () (= tptp.singletonsuniq @t743)) % 1.52/1.78 (define @t745 () (= @t4 @t289)) % 1.52/1.78 (define @t746 () (_ tptp.setadjoin @t289)) % 1.52/1.78 (define @t747 () (_ @t746 tptp.emptyset)) % 1.52/1.78 (define @t748 () (_ (_ tptp.in @t747) @t621)) % 1.52/1.78 (define @t749 () (forall @t297 (=> @t748 @t745))) % 1.52/1.78 (define @t750 () (= tptp.setukpairinjL1 @t749)) % 1.52/1.78 (define @t751 () (_ @t640 @t383)) % 1.52/1.78 (define @t752 () (lambda @t9 @t751)) % 1.52/1.78 (define @t753 () (_ tptp.setunion @t383)) % 1.52/1.78 (define @t754 () (_ tptp.dsetconstr @t753)) % 1.52/1.78 (define @t755 () (_ @t754 @t752)) % 1.52/1.78 (define @t756 () (_ tptp.singleton @t755)) % 1.52/1.78 (define @t757 () (@list @t383)) % 1.52/1.78 (define @t758 () (forall @t757 (=> @t692 @t756))) % 1.52/1.78 (define @t759 () (= tptp.kfstsingleton @t758)) % 1.52/1.78 (define @t760 () (_ tptp.setunion @t695)) % 1.52/1.78 (define @t761 () (_ (_ tptp.in @t760) @t695)) % 1.52/1.78 (define @t762 () (_ tptp.singleton @t695)) % 1.52/1.78 (define @t763 () (forall @t700 (=> @t762 @t761))) % 1.52/1.78 (define @t764 () (= tptp.theprop @t763)) % 1.52/1.78 (define @t765 () (_ tptp.kfst @t633)) % 1.52/1.78 (define @t766 () (= @t765 @t4)) % 1.52/1.78 (define @t767 () (forall @t135 @t766)) % 1.52/1.78 (define @t768 () (= tptp.kfstpairEq @t767)) % 1.52/1.78 (define @t769 () (_ tptp.kfst @t383)) % 1.52/1.78 (define @t770 () (_ (_ tptp.in @t769) @t2)) % 1.52/1.78 (define @t771 () (forall @t689 (=> @t687 @t770))) % 1.52/1.78 (define @t772 () (= tptp.cartprodfstin @t771)) % 1.52/1.78 (define @t773 () (_ (_ tptp.setadjoin @t383) tptp.emptyset)) % 1.52/1.78 (define @t774 () (_ @t746 @t773)) % 1.52/1.78 (define @t775 () (_ (_ tptp.setadjoin @t774) tptp.emptyset)) % 1.52/1.78 (define @t776 () (_ (_ tptp.setadjoin @t747) @t775)) % 1.52/1.78 (define @t777 () (= @t621 @t776)) % 1.52/1.78 (define @t778 () (@list @t4 @t19 @t289 @t383)) % 1.52/1.78 (define @t779 () (forall @t778 (=> @t777 @t745))) % 1.52/1.78 (define @t780 () (= tptp.setukpairinjL2 @t779)) % 1.52/1.78 (define @t781 () (_ tptp.kpair @t289)) % 1.52/1.78 (define @t782 () (_ @t781 @t383)) % 1.52/1.78 (define @t783 () (= @t633 @t782)) % 1.52/1.78 (define @t784 () (forall @t778 (=> @t783 @t745))) % 1.52/1.78 (define @t785 () (= tptp.setukpairinjL @t784)) % 1.52/1.78 (define @t786 () (=> @t129 (= @t293 @t279))) % 1.52/1.78 (define @t787 () (forall @t135 @t786)) % 1.52/1.78 (define @t788 () (= tptp.setukpairinjR11 @t787)) % 1.52/1.78 (define @t789 () (_ @t620 tptp.emptyset)) % 1.52/1.78 (define @t790 () (= @t621 @t789)) % 1.52/1.78 (define @t791 () (forall @t135 (=> @t129 @t790))) % 1.52/1.78 (define @t792 () (= tptp.setukpairinjR12 @t791)) % 1.52/1.78 (define @t793 () (= @t19 @t383)) % 1.52/1.78 (define @t794 () (=> @t387 @t793)) % 1.52/1.78 (define @t795 () (forall @t778 (=> @t777 @t794))) % 1.52/1.78 (define @t796 () (= tptp.setukpairinjR1 @t795)) % 1.52/1.78 (define @t797 () (= @t293 @t747)) % 1.52/1.78 (define @t798 () (forall @t297 (=> @t797 @t129))) % 1.52/1.78 (define @t799 () (= tptp.upairequniteq @t798)) % 1.52/1.78 (define @t800 () (forall @t778 (=> @t777 @t793))) % 1.52/1.78 (define @t801 () (= tptp.setukpairinjR2 @t800)) % 1.52/1.78 (define @t802 () (forall @t778 (=> @t783 @t793))) % 1.52/1.78 (define @t803 () (= tptp.setukpairinjR @t802)) % 1.52/1.78 (define @t804 () (_ tptp.kpair @t769)) % 1.52/1.78 (define @t805 () (_ @t804 @t4)) % 1.52/1.78 (define @t806 () (= @t383 @t805)) % 1.52/1.78 (define @t807 () (lambda @t9 @t806)) % 1.52/1.78 (define @t808 () (_ @t754 @t807)) % 1.52/1.78 (define @t809 () (_ tptp.singleton @t808)) % 1.52/1.78 (define @t810 () (forall @t757 (=> @t692 @t809))) % 1.52/1.78 (define @t811 () (= tptp.ksndsingleton @t810)) % 1.52/1.78 (define @t812 () (_ tptp.ksnd @t633)) % 1.52/1.78 (define @t813 () (= @t812 @t19)) % 1.52/1.78 (define @t814 () (forall @t135 @t813)) % 1.52/1.78 (define @t815 () (= tptp.ksndpairEq @t814)) % 1.52/1.78 (define @t816 () (_ tptp.ksnd @t383)) % 1.52/1.78 (define @t817 () (_ @t804 @t816)) % 1.52/1.78 (define @t818 () (= @t817 @t383)) % 1.52/1.78 (define @t819 () (=> @t692 @t818)) % 1.52/1.78 (define @t820 () (forall @t757 @t819)) % 1.52/1.78 (define @t821 () (= tptp.kpairsurjEq @t820)) % 1.52/1.78 (define @t822 () (_ (_ tptp.in @t816) @t1)) % 1.52/1.78 (define @t823 () (forall @t689 (=> @t687 @t822))) % 1.52/1.78 (define @t824 () (= tptp.cartprodsndin @t823)) % 1.52/1.78 (define @t825 () (@list @t2 @t1 @t4 @t19)) % 1.52/1.78 (define @t826 () (forall @t825 (=> @t676 @t7))) % 1.52/1.78 (define @t827 () (= tptp.cartprodpairmemEL @t826)) % 1.52/1.78 (define @t828 () (forall @t825 (=> @t676 @t354))) % 1.52/1.78 (define @t829 () (= tptp.cartprodpairmemER @t828)) % 1.52/1.78 (define @t830 () (=> @t354 (= @t633 @t633))) % 1.52/1.78 (define @t831 () (forall @t70 @t830)) % 1.52/1.78 (define @t832 () (=> @t7 @t831)) % 1.52/1.78 (define @t833 () (forall @t245 @t832)) % 1.52/1.78 (define @t834 () (= tptp.cartprodmempaircEq @t833)) % 1.52/1.78 (define @t835 () (=> @t354 @t766)) % 1.52/1.78 (define @t836 () (forall @t70 @t835)) % 1.52/1.78 (define @t837 () (=> @t7 @t836)) % 1.52/1.78 (define @t838 () (forall @t245 @t837)) % 1.52/1.78 (define @t839 () (= tptp.cartprodfstpairEq @t838)) % 1.52/1.78 (define @t840 () (=> @t354 @t813)) % 1.52/1.78 (define @t841 () (forall @t70 @t840)) % 1.52/1.78 (define @t842 () (=> @t7 @t841)) % 1.52/1.78 (define @t843 () (forall @t245 @t842)) % 1.52/1.78 (define @t844 () (= tptp.cartprodsndpairEq @t843)) % 1.52/1.78 (define @t845 () (=> @t687 @t818)) % 1.52/1.78 (define @t846 () (forall @t689 @t845)) % 1.52/1.78 (define @t847 () (= tptp.cartprodpairsurjEq @t846)) % 1.52/1.78 (define @t848 () (_ (_ @t67 @t289) @t383)) % 1.52/1.78 (define @t849 () (lambda @t388 @t848)) % 1.52/1.78 (define @t850 () (_ tptp.dpsetconstr @t2)) % 1.52/1.78 (define @t851 () (_ @t850 @t1)) % 1.52/1.78 (define @t852 () (_ @t851 @t849)) % 1.52/1.78 (define @t853 () (_ @t669 @t852)) % 1.52/1.78 (define @t854 () (=> @t76 @t853)) % 1.52/1.78 (define @t855 () (forall @t70 (=> @t354 @t854))) % 1.52/1.78 (define @t856 () (=> @t7 @t855)) % 1.52/1.78 (define @t857 () (@list @t2 @t1 @t67 @t4)) % 1.52/1.78 (define @t858 () (forall @t857 @t856)) % 1.52/1.78 (define @t859 () (= tptp.dpsetconstrI @t858)) % 1.52/1.78 (define @t860 () (lambda @t135 @t76)) % 1.52/1.78 (define @t861 () (_ @t851 @t860)) % 1.52/1.78 (define @t862 () (_ (_ tptp.subset @t861) @t675)) % 1.52/1.78 (define @t863 () (@list @t2 @t1 @t67)) % 1.52/1.78 (define @t864 () (forall @t863 @t862)) % 1.52/1.78 (define @t865 () (= tptp.dpsetconstrSub @t864)) % 1.52/1.78 (define @t866 () (_ (_ tptp.breln @t2) @t1)) % 1.52/1.78 (define @t867 () (_ @t866 @t861)) % 1.52/1.78 (define @t868 () (forall @t863 @t867)) % 1.52/1.78 (define @t869 () (= tptp.setOfPairsIsBReln @t868)) % 1.52/1.78 (define @t870 () (=> @t853 @t76)) % 1.52/1.78 (define @t871 () (forall @t70 (=> @t354 @t870))) % 1.52/1.78 (define @t872 () (=> @t7 @t871)) % 1.52/1.78 (define @t873 () (forall @t857 @t872)) % 1.52/1.78 (define @t874 () (= tptp.dpsetconstrERa @t873)) % 1.52/1.78 (define @t875 () (@list @t2 @t1 @t67 @t4 @t19)) % 1.52/1.78 (define @t876 () (forall @t875 (=> @t853 @t7))) % 1.52/1.78 (define @t877 () (= tptp.dpsetconstrEL1 @t876)) % 1.52/1.78 (define @t878 () (forall @t875 (=> @t853 @t354))) % 1.52/1.78 (define @t879 () (= tptp.dpsetconstrEL2 @t878)) % 1.52/1.78 (define @t880 () (forall @t875 @t870)) % 1.52/1.78 (define @t881 () (= tptp.dpsetconstrER @t880)) % 1.52/1.78 (define @t882 () (@var "Xf" $$unsorted)) % 1.52/1.78 (define @t883 () (_ @t669 @t882)) % 1.52/1.78 (define @t884 () (lambda @t70 @t883)) % 1.52/1.78 (define @t885 () (_ @t410 @t884)) % 1.52/1.78 (define @t886 () (_ tptp.singleton @t885)) % 1.52/1.78 (define @t887 () (forall @t9 (=> @t7 @t886))) % 1.52/1.78 (define @t888 () (_ (_ tptp.func @t2) @t1)) % 1.52/1.78 (define @t889 () (_ @t888 @t882)) % 1.52/1.78 (define @t890 () (=> @t889 @t887)) % 1.52/1.78 (define @t891 () (@list @t2 @t1 @t882)) % 1.52/1.78 (define @t892 () (forall @t891 @t890)) % 1.52/1.78 (define @t893 () (= tptp.funcImageSingleton @t892)) % 1.52/1.78 (define @t894 () (_ tptp.setunion @t885)) % 1.52/1.78 (define @t895 () (_ (_ tptp.in @t894) @t1)) % 1.52/1.78 (define @t896 () (forall @t9 (=> @t7 @t895))) % 1.52/1.78 (define @t897 () (=> @t889 @t896)) % 1.52/1.78 (define @t898 () (forall @t891 @t897)) % 1.52/1.78 (define @t899 () (= tptp.apProp @t898)) % 1.52/1.78 (define @t900 () (_ (_ tptp.ap @t2) @t1)) % 1.52/1.78 (define @t901 () (_ (_ @t900 @t882) @t4)) % 1.52/1.78 (define @t902 () (_ (_ tptp.in @t901) @t1)) % 1.52/1.78 (define @t903 () (forall @t9 (=> @t7 @t902))) % 1.52/1.78 (define @t904 () (=> @t889 @t903)) % 1.52/1.78 (define @t905 () (forall @t891 @t904)) % 1.52/1.78 (define @t906 () (= tptp.app @t905)) % 1.52/1.78 (define @t907 () (_ (_ tptp.funcSet @t2) @t1)) % 1.52/1.78 (define @t908 () (_ tptp.in @t882)) % 1.52/1.78 (define @t909 () (_ @t908 @t907)) % 1.52/1.78 (define @t910 () (forall @t891 (=> @t909 @t889))) % 1.52/1.78 (define @t911 () (= tptp.infuncsetfunc @t910)) % 1.52/1.78 (define @t912 () (=> @t909 @t903)) % 1.52/1.78 (define @t913 () (forall @t891 @t912)) % 1.52/1.78 (define @t914 () (= tptp.ap2p @t913)) % 1.52/1.78 (define @t915 () (forall @t891 (=> @t889 @t909))) % 1.52/1.78 (define @t916 () (= tptp.funcinfuncset @t915)) % 1.52/1.78 (define @t917 () (@var "Xf" (-> $$unsorted $$unsorted))) % 1.52/1.78 (define @t918 () (_ @t917 @t4)) % 1.52/1.78 (define @t919 () (lambda @t135 (= @t918 @t19))) % 1.52/1.78 (define @t920 () (_ (_ tptp.in @t918) @t1)) % 1.52/1.78 (define @t921 () (forall @t9 (=> @t7 @t920))) % 1.52/1.78 (define @t922 () (=> @t921 (_ @t888 (_ @t851 @t919)))) % 1.52/1.78 (define @t923 () (@list @t2 @t1 @t917)) % 1.52/1.78 (define @t924 () (forall @t923 @t922)) % 1.52/1.78 (define @t925 () (= tptp.lamProp @t924)) % 1.52/1.78 (define @t926 () (lambda @t9 @t918)) % 1.52/1.78 (define @t927 () (_ (_ tptp.lam @t2) @t1)) % 1.52/1.78 (define @t928 () (_ @t927 @t926)) % 1.52/1.78 (define @t929 () (_ @t888 @t928)) % 1.52/1.78 (define @t930 () (=> @t921 @t929)) % 1.52/1.78 (define @t931 () (forall @t923 @t930)) % 1.52/1.78 (define @t932 () (= tptp.lamp @t931)) % 1.52/1.78 (define @t933 () (_ (_ tptp.in @t928) @t907)) % 1.52/1.78 (define @t934 () (=> @t921 @t933)) % 1.52/1.78 (define @t935 () (forall @t923 @t934)) % 1.52/1.78 (define @t936 () (= tptp.lam2p @t935)) % 1.52/1.78 (define @t937 () (@var "R" $$unsorted)) % 1.52/1.78 (define @t938 () (_ @t5 @t937)) % 1.52/1.78 (define @t939 () (forall @t9 (=> @t938 @t144))) % 1.52/1.78 (define @t940 () (_ @t143 @t633)) % 1.52/1.78 (define @t941 () (_ @t669 @t937)) % 1.52/1.78 (define @t942 () (=> @t941 @t940)) % 1.52/1.78 (define @t943 () (forall @t70 (=> @t354 @t942))) % 1.52/1.78 (define @t944 () (=> @t7 @t943)) % 1.52/1.78 (define @t945 () (forall @t9 @t944)) % 1.52/1.78 (define @t946 () (=> @t945 @t939)) % 1.52/1.78 (define @t947 () (forall @t150 @t946)) % 1.52/1.78 (define @t948 () (_ @t866 @t937)) % 1.52/1.78 (define @t949 () (=> @t948 @t947)) % 1.52/1.78 (define @t950 () (@list @t2 @t1 @t937)) % 1.52/1.78 (define @t951 () (forall @t950 @t949)) % 1.52/1.78 (define @t952 () (= tptp.brelnall1 @t951)) % 1.52/1.78 (define @t953 () (=> @t725 @t720)) % 1.52/1.78 (define @t954 () (forall @t311 @t953)) % 1.52/1.78 (define @t955 () (= tptp.ex1E2 @t954)) % 1.52/1.78 (define @t956 () (_ @t632 @t901)) % 1.52/1.78 (define @t957 () (_ (_ tptp.in @t956) @t882)) % 1.52/1.78 (define @t958 () (forall @t9 (=> @t7 @t957))) % 1.52/1.78 (define @t959 () (=> @t889 @t958)) % 1.52/1.78 (define @t960 () (forall @t891 @t959)) % 1.52/1.78 (define @t961 () (= tptp.funcGraphProp1 @t960)) % 1.52/1.78 (define @t962 () (=> @t909 @t958)) % 1.52/1.78 (define @t963 () (forall @t891 @t962)) % 1.52/1.78 (define @t964 () (= tptp.funcGraphProp3 @t963)) % 1.52/1.78 (define @t965 () (=> @t883 (= @t901 @t19))) % 1.52/1.78 (define @t966 () (=> @t354 @t965)) % 1.52/1.78 (define @t967 () (forall @t70 @t966)) % 1.52/1.78 (define @t968 () (=> @t7 @t967)) % 1.52/1.78 (define @t969 () (forall @t9 @t968)) % 1.52/1.78 (define @t970 () (=> @t889 @t969)) % 1.52/1.78 (define @t971 () (forall @t891 @t970)) % 1.52/1.78 (define @t972 () (= tptp.funcGraphProp2 @t971)) % 1.52/1.78 (define @t973 () (@var "Xg" $$unsorted)) % 1.52/1.78 (define @t974 () (_ @t669 @t973)) % 1.52/1.78 (define @t975 () (=> @t974 @t883)) % 1.52/1.78 (define @t976 () (forall @t70 (=> @t354 @t975))) % 1.52/1.78 (define @t977 () (=> @t7 @t976)) % 1.52/1.78 (define @t978 () (forall @t9 @t977)) % 1.52/1.78 (define @t979 () (_ (_ @t900 @t973) @t4)) % 1.52/1.78 (define @t980 () (= @t901 @t979)) % 1.52/1.78 (define @t981 () (forall @t9 (=> @t7 @t980))) % 1.52/1.78 (define @t982 () (=> @t981 @t978)) % 1.52/1.78 (define @t983 () (_ @t888 @t973)) % 1.52/1.78 (define @t984 () (=> @t983 @t982)) % 1.52/1.78 (define @t985 () (@list @t973)) % 1.52/1.78 (define @t986 () (forall @t985 @t984)) % 1.52/1.78 (define @t987 () (=> @t889 @t986)) % 1.52/1.78 (define @t988 () (forall @t891 @t987)) % 1.52/1.78 (define @t989 () (= tptp.funcextLem @t988)) % 1.52/1.78 (define @t990 () (=> @t909 @t969)) % 1.52/1.78 (define @t991 () (forall @t891 @t990)) % 1.52/1.78 (define @t992 () (= tptp.funcGraphProp4 @t991)) % 1.52/1.78 (define @t993 () (@var "S" $$unsorted)) % 1.52/1.78 (define @t994 () (_ (_ tptp.subset @t937) @t993)) % 1.52/1.78 (define @t995 () (_ @t669 @t993)) % 1.52/1.78 (define @t996 () (=> @t941 @t995)) % 1.52/1.78 (define @t997 () (forall @t70 (=> @t354 @t996))) % 1.52/1.78 (define @t998 () (=> @t7 @t997)) % 1.52/1.78 (define @t999 () (forall @t9 @t998)) % 1.52/1.78 (define @t1000 () (=> @t999 @t994)) % 1.52/1.78 (define @t1001 () (_ @t866 @t993)) % 1.52/1.78 (define @t1002 () (=> @t1001 @t1000)) % 1.52/1.78 (define @t1003 () (@list @t993)) % 1.52/1.78 (define @t1004 () (forall @t1003 @t1002)) % 1.52/1.78 (define @t1005 () (=> @t948 @t1004)) % 1.52/1.78 (define @t1006 () (forall @t950 @t1005)) % 1.52/1.78 (define @t1007 () (= tptp.subbreln @t1006)) % 1.52/1.78 (define @t1008 () (= @t937 @t993)) % 1.52/1.78 (define @t1009 () (=> @t995 @t941)) % 1.52/1.78 (define @t1010 () (forall @t70 (=> @t354 @t1009))) % 1.52/1.78 (define @t1011 () (=> @t7 @t1010)) % 1.52/1.78 (define @t1012 () (forall @t9 @t1011)) % 1.52/1.78 (define @t1013 () (=> @t1012 @t1008)) % 1.52/1.78 (define @t1014 () (=> @t999 @t1013)) % 1.52/1.78 (define @t1015 () (=> @t1001 @t1014)) % 1.52/1.78 (define @t1016 () (forall @t1003 @t1015)) % 1.52/1.78 (define @t1017 () (=> @t948 @t1016)) % 1.52/1.78 (define @t1018 () (forall @t950 @t1017)) % 1.52/1.78 (define @t1019 () (= tptp.eqbreln @t1018)) % 1.52/1.78 (define @t1020 () (= @t882 @t973)) % 1.52/1.78 (define @t1021 () (=> @t981 @t1020)) % 1.52/1.78 (define @t1022 () (=> @t983 @t1021)) % 1.52/1.78 (define @t1023 () (forall @t985 @t1022)) % 1.52/1.78 (define @t1024 () (=> @t889 @t1023)) % 1.52/1.78 (define @t1025 () (forall @t891 @t1024)) % 1.52/1.78 (define @t1026 () (= tptp.funcext @t1025)) % 1.52/1.78 (define @t1027 () (_ tptp.in @t973)) % 1.52/1.78 (define @t1028 () (_ @t1027 @t907)) % 1.52/1.78 (define @t1029 () (=> @t1028 @t1021)) % 1.52/1.78 (define @t1030 () (forall @t985 @t1029)) % 1.52/1.78 (define @t1031 () (=> @t909 @t1030)) % 1.52/1.78 (define @t1032 () (forall @t891 @t1031)) % 1.52/1.78 (define @t1033 () (= tptp.funcext2 @t1032)) % 1.52/1.78 (define @t1034 () (=> @t7 (= @t901 @t901))) % 1.52/1.78 (define @t1035 () (forall @t9 @t1034)) % 1.52/1.78 (define @t1036 () (=> @t909 @t1035)) % 1.52/1.78 (define @t1037 () (forall @t891 @t1036)) % 1.52/1.78 (define @t1038 () (= tptp.ap2apEq1 @t1037)) % 1.52/1.78 (define @t1039 () (=> @t889 @t1035)) % 1.52/1.78 (define @t1040 () (forall @t891 @t1039)) % 1.52/1.78 (define @t1041 () (= tptp.ap2apEq2 @t1040)) % 1.52/1.78 (define @t1042 () (_ @t917 @t19)) % 1.52/1.78 (define @t1043 () (lambda @t70 @t1042)) % 1.52/1.78 (define @t1044 () (_ @t927 @t1043)) % 1.52/1.78 (define @t1045 () (_ (_ @t900 @t1044) @t4)) % 1.52/1.78 (define @t1046 () (=> @t7 (= @t1045 @t918))) % 1.52/1.78 (define @t1047 () (forall @t9 @t1046)) % 1.52/1.78 (define @t1048 () (=> @t921 @t1047)) % 1.52/1.78 (define @t1049 () (forall @t923 @t1048)) % 1.52/1.78 (define @t1050 () (= tptp.beta1 @t1049)) % 1.52/1.78 (define @t1051 () (lambda @t9 @t901)) % 1.52/1.78 (define @t1052 () (_ @t927 @t1051)) % 1.52/1.78 (define @t1053 () (= @t1052 @t882)) % 1.52/1.78 (define @t1054 () (=> @t889 @t1053)) % 1.52/1.78 (define @t1055 () (forall @t891 @t1054)) % 1.52/1.78 (define @t1056 () (= tptp.eta1 @t1055)) % 1.52/1.78 (define @t1057 () (=> @t921 (= @t928 @t928))) % 1.52/1.78 (define @t1058 () (forall @t923 @t1057)) % 1.52/1.78 (define @t1059 () (= tptp.lam2lamEq @t1058)) % 1.52/1.78 (define @t1060 () (=> @t909 @t1053)) % 1.52/1.78 (define @t1061 () (forall @t891 @t1060)) % 1.52/1.78 (define @t1062 () (= tptp.eta2 @t1061)) % 1.52/1.78 (define @t1063 () (not @t173)) % 1.52/1.78 (define @t1064 () (and @t1063 @t290)) % 1.52/1.78 (define @t1065 () (and @t173 @t291)) % 1.52/1.78 (define @t1066 () (or @t1065 @t1064)) % 1.52/1.78 (define @t1067 () (@list @t289)) % 1.52/1.78 (define @t1068 () (lambda @t1067 @t1066)) % 1.52/1.78 (define @t1069 () (_ @t155 @t1068)) % 1.52/1.78 (define @t1070 () (=> @t1063 (_ @t20 @t1069))) % 1.52/1.78 (define @t1071 () (=> @t21 @t1070)) % 1.52/1.78 (define @t1072 () (forall @t70 @t1071)) % 1.52/1.78 (define @t1073 () (=> @t7 @t1072)) % 1.52/1.78 (define @t1074 () (@list @t2 @t173 @t4)) % 1.52/1.78 (define @t1075 () (forall @t1074 @t1073)) % 1.52/1.78 (define @t1076 () (= tptp.iffalseProp1 @t1075)) % 1.52/1.78 (define @t1077 () (= @t1069 @t275)) % 1.52/1.78 (define @t1078 () (=> @t1063 @t1077)) % 1.52/1.78 (define @t1079 () (=> @t21 @t1078)) % 1.52/1.78 (define @t1080 () (forall @t70 @t1079)) % 1.52/1.78 (define @t1081 () (=> @t7 @t1080)) % 1.52/1.78 (define @t1082 () (forall @t1074 @t1081)) % 1.52/1.78 (define @t1083 () (= tptp.iffalseProp2 @t1082)) % 1.52/1.78 (define @t1084 () (=> @t173 (_ @t5 @t1069))) % 1.52/1.78 (define @t1085 () (=> @t21 @t1084)) % 1.52/1.78 (define @t1086 () (forall @t70 @t1085)) % 1.52/1.78 (define @t1087 () (=> @t7 @t1086)) % 1.52/1.78 (define @t1088 () (forall @t1074 @t1087)) % 1.52/1.78 (define @t1089 () (= tptp.iftrueProp1 @t1088)) % 1.52/1.78 (define @t1090 () (= @t1069 @t279)) % 1.52/1.78 (define @t1091 () (=> @t173 @t1090)) % 1.52/1.78 (define @t1092 () (=> @t21 @t1091)) % 1.52/1.78 (define @t1093 () (forall @t70 @t1092)) % 1.52/1.78 (define @t1094 () (=> @t7 @t1093)) % 1.52/1.78 (define @t1095 () (forall @t1074 @t1094)) % 1.52/1.78 (define @t1096 () (= tptp.iftrueProp2 @t1095)) % 1.52/1.78 (define @t1097 () (=> @t21 (_ tptp.singleton @t1069))) % 1.52/1.78 (define @t1098 () (forall @t70 @t1097)) % 1.52/1.78 (define @t1099 () (=> @t7 @t1098)) % 1.52/1.78 (define @t1100 () (forall @t1074 @t1099)) % 1.52/1.78 (define @t1101 () (= tptp.ifSingleton @t1100)) % 1.52/1.78 (define @t1102 () (_ (_ (_ (_ tptp.if @t2) @t173) @t4) @t19)) % 1.52/1.78 (define @t1103 () (_ tptp.in @t1102)) % 1.52/1.78 (define @t1104 () (_ @t1103 @t2)) % 1.52/1.78 (define @t1105 () (forall @t70 (=> @t21 @t1104))) % 1.52/1.78 (define @t1106 () (=> @t7 @t1105)) % 1.52/1.78 (define @t1107 () (forall @t1074 @t1106)) % 1.52/1.78 (define @t1108 () (= tptp.ifp @t1107)) % 1.52/1.78 (define @t1109 () (=> @t696 (= @t760 @t4))) % 1.52/1.78 (define @t1110 () (forall @t9 @t1109)) % 1.52/1.78 (define @t1111 () (=> @t762 @t1110)) % 1.52/1.78 (define @t1112 () (forall @t700 @t1111)) % 1.52/1.78 (define @t1113 () (= tptp.theeq @t1112)) % 1.52/1.78 (define @t1114 () (=> @t173 (= @t1102 @t4))) % 1.52/1.78 (define @t1115 () (=> @t21 @t1114)) % 1.52/1.78 (define @t1116 () (forall @t70 @t1115)) % 1.52/1.78 (define @t1117 () (=> @t7 @t1116)) % 1.52/1.78 (define @t1118 () (forall @t1074 @t1117)) % 1.52/1.78 (define @t1119 () (= tptp.iftrue @t1118)) % 1.52/1.78 (define @t1120 () (=> @t1063 (= @t1102 @t19))) % 1.52/1.78 (define @t1121 () (=> @t21 @t1120)) % 1.52/1.78 (define @t1122 () (forall @t70 @t1121)) % 1.52/1.78 (define @t1123 () (=> @t7 @t1122)) % 1.52/1.78 (define @t1124 () (forall @t1074 @t1123)) % 1.52/1.78 (define @t1125 () (= tptp.iffalse @t1124)) % 1.52/1.78 (define @t1126 () (_ @t1103 @t293)) % 1.52/1.78 (define @t1127 () (forall @t70 (=> @t21 @t1126))) % 1.52/1.78 (define @t1128 () (=> @t7 @t1127)) % 1.52/1.78 (define @t1129 () (forall @t1074 @t1128)) % 1.52/1.78 (define @t1130 () (= tptp.iftrueorfalse @t1129)) % 1.52/1.78 (define @t1131 () (@var "Y" $$unsorted)) % 1.52/1.78 (define @t1132 () (_ (_ tptp.binintersect @t695) @t1131)) % 1.52/1.78 (define @t1133 () (_ tptp.in @t1132)) % 1.52/1.78 (define @t1134 () (_ @t1133 @t33)) % 1.52/1.78 (define @t1135 () (_ tptp.in @t1131)) % 1.52/1.78 (define @t1136 () (_ @t1135 @t33)) % 1.52/1.78 (define @t1137 () (@list @t1131)) % 1.52/1.78 (define @t1138 () (forall @t1137 (=> @t1136 @t1134))) % 1.52/1.78 (define @t1139 () (_ @t697 @t33)) % 1.52/1.78 (define @t1140 () (=> @t1139 @t1138)) % 1.52/1.78 (define @t1141 () (@list @t2 @t695)) % 1.52/1.78 (define @t1142 () (forall @t1141 @t1140)) % 1.52/1.78 (define @t1143 () (= tptp.binintersectT_lem @t1142)) % 1.52/1.78 (define @t1144 () (_ tptp.binunion @t695)) % 1.52/1.78 (define @t1145 () (_ @t1144 @t1131)) % 1.52/1.78 (define @t1146 () (_ (_ tptp.in @t1145) @t33)) % 1.52/1.78 (define @t1147 () (forall @t1137 (=> @t1136 @t1146))) % 1.52/1.78 (define @t1148 () (=> @t1139 @t1147)) % 1.52/1.78 (define @t1149 () (forall @t1141 @t1148)) % 1.52/1.78 (define @t1150 () (= tptp.binunionT_lem @t1149)) % 1.52/1.78 (define @t1151 () (_ tptp.powerset @t33)) % 1.52/1.78 (define @t1152 () (_ tptp.powerset @t695)) % 1.52/1.78 (define @t1153 () (_ (_ tptp.in @t1152) @t1151)) % 1.52/1.78 (define @t1154 () (forall @t1141 (=> @t1139 @t1153))) % 1.52/1.78 (define @t1155 () (= tptp.powersetT_lem @t1154)) % 1.52/1.78 (define @t1156 () (_ (_ tptp.setminus @t695) @t1131)) % 1.52/1.78 (define @t1157 () (_ (_ tptp.in @t1156) @t33)) % 1.52/1.78 (define @t1158 () (forall @t1137 (=> @t1136 @t1157))) % 1.52/1.78 (define @t1159 () (=> @t1139 @t1158)) % 1.52/1.78 (define @t1160 () (forall @t1141 @t1159)) % 1.52/1.78 (define @t1161 () (= tptp.setminusT_lem @t1160)) % 1.52/1.78 (define @t1162 () (_ @t567 @t695)) % 1.52/1.78 (define @t1163 () (_ tptp.in @t1162)) % 1.52/1.78 (define @t1164 () (_ @t1163 @t33)) % 1.52/1.78 (define @t1165 () (forall @t1141 (=> @t1139 @t1164))) % 1.52/1.78 (define @t1166 () (= tptp.complementT_lem @t1165)) % 1.52/1.78 (define @t1167 () (= @t695 @t1131)) % 1.52/1.78 (define @t1168 () (_ @t5 @t1131)) % 1.52/1.78 (define @t1169 () (=> @t1168 @t696)) % 1.52/1.78 (define @t1170 () (forall @t9 (=> @t7 @t1169))) % 1.52/1.78 (define @t1171 () (=> @t1170 @t1167)) % 1.52/1.78 (define @t1172 () (=> @t696 @t1168)) % 1.52/1.78 (define @t1173 () (forall @t9 (=> @t7 @t1172))) % 1.52/1.78 (define @t1174 () (=> @t1173 @t1171)) % 1.52/1.78 (define @t1175 () (=> @t1136 @t1174)) % 1.52/1.78 (define @t1176 () (forall @t1137 @t1175)) % 1.52/1.78 (define @t1177 () (=> @t1139 @t1176)) % 1.52/1.78 (define @t1178 () (forall @t1141 @t1177)) % 1.52/1.78 (define @t1179 () (= tptp.setextT @t1178)) % 1.52/1.78 (define @t1180 () (_ tptp.subset @t695)) % 1.52/1.78 (define @t1181 () (_ @t1180 @t1131)) % 1.52/1.78 (define @t1182 () (=> @t1173 @t1181)) % 1.52/1.78 (define @t1183 () (=> @t1136 @t1182)) % 1.52/1.78 (define @t1184 () (forall @t1137 @t1183)) % 1.52/1.78 (define @t1185 () (=> @t1139 @t1184)) % 1.52/1.78 (define @t1186 () (forall @t1141 @t1185)) % 1.52/1.78 (define @t1187 () (= tptp.subsetTI @t1186)) % 1.52/1.78 (define @t1188 () (_ tptp.powerset @t1131)) % 1.52/1.78 (define @t1189 () (_ @t697 @t1188)) % 1.52/1.78 (define @t1190 () (=> @t1173 @t1189)) % 1.52/1.78 (define @t1191 () (=> @t1136 @t1190)) % 1.52/1.78 (define @t1192 () (forall @t1137 @t1191)) % 1.52/1.78 (define @t1193 () (=> @t1139 @t1192)) % 1.52/1.78 (define @t1194 () (forall @t1141 @t1193)) % 1.52/1.78 (define @t1195 () (= tptp.powersetTI1 @t1194)) % 1.52/1.78 (define @t1196 () (=> @t1189 @t1172)) % 1.52/1.78 (define @t1197 () (forall @t9 (=> @t7 @t1196))) % 1.52/1.78 (define @t1198 () (=> @t1136 @t1197)) % 1.52/1.78 (define @t1199 () (forall @t1137 @t1198)) % 1.52/1.78 (define @t1200 () (=> @t1139 @t1199)) % 1.52/1.78 (define @t1201 () (forall @t1141 @t1200)) % 1.52/1.78 (define @t1202 () (= tptp.powersetTE1 @t1201)) % 1.52/1.78 (define @t1203 () (_ @t5 @t1162)) % 1.52/1.78 (define @t1204 () (not @t1203)) % 1.52/1.78 (define @t1205 () (=> @t696 @t1204)) % 1.52/1.78 (define @t1206 () (forall @t9 (=> @t7 @t1205))) % 1.52/1.78 (define @t1207 () (=> @t1139 @t1206)) % 1.52/1.78 (define @t1208 () (forall @t1141 @t1207)) % 1.52/1.78 (define @t1209 () (= tptp.complementTI1 @t1208)) % 1.52/1.78 (define @t1210 () (=> @t1204 @t696)) % 1.52/1.78 (define @t1211 () (forall @t9 (=> @t7 @t1210))) % 1.52/1.78 (define @t1212 () (=> @t1139 @t1211)) % 1.52/1.78 (define @t1213 () (forall @t1141 @t1212)) % 1.52/1.78 (define @t1214 () (= tptp.complementTE1 @t1213)) % 1.52/1.78 (define @t1215 () (_ @t5 @t1132)) % 1.52/1.78 (define @t1216 () (not @t1215)) % 1.52/1.78 (define @t1217 () (not @t696)) % 1.52/1.78 (define @t1218 () (=> @t1217 @t1216)) % 1.52/1.78 (define @t1219 () (forall @t9 (=> @t7 @t1218))) % 1.52/1.78 (define @t1220 () (=> @t1136 @t1219)) % 1.52/1.78 (define @t1221 () (forall @t1137 @t1220)) % 1.52/1.78 (define @t1222 () (=> @t1139 @t1221)) % 1.52/1.78 (define @t1223 () (forall @t1141 @t1222)) % 1.52/1.78 (define @t1224 () (= tptp.binintersectTELcontra @t1223)) % 1.52/1.78 (define @t1225 () (not @t1168)) % 1.52/1.78 (define @t1226 () (=> @t1225 @t1216)) % 1.52/1.78 (define @t1227 () (forall @t9 (=> @t7 @t1226))) % 1.52/1.78 (define @t1228 () (=> @t1136 @t1227)) % 1.52/1.78 (define @t1229 () (forall @t1137 @t1228)) % 1.52/1.78 (define @t1230 () (=> @t1139 @t1229)) % 1.52/1.78 (define @t1231 () (forall @t1141 @t1230)) % 1.52/1.78 (define @t1232 () (= tptp.binintersectTERcontra @t1231)) % 1.52/1.78 (define @t1233 () (=> @t1168 @t1217)) % 1.52/1.78 (define @t1234 () (_ @t567 @t1131)) % 1.52/1.78 (define @t1235 () (_ @t1180 @t1234)) % 1.52/1.78 (define @t1236 () (=> @t1235 @t1233)) % 1.52/1.78 (define @t1237 () (forall @t9 (=> @t7 @t1236))) % 1.52/1.78 (define @t1238 () (=> @t1136 @t1237)) % 1.52/1.78 (define @t1239 () (forall @t1137 @t1238)) % 1.52/1.78 (define @t1240 () (=> @t1139 @t1239)) % 1.52/1.78 (define @t1241 () (forall @t1141 @t1240)) % 1.52/1.78 (define @t1242 () (= tptp.contrasubsetT @t1241)) % 1.52/1.78 (define @t1243 () (=> @t1225 @t1217)) % 1.52/1.78 (define @t1244 () (=> @t1181 @t1243)) % 1.52/1.78 (define @t1245 () (forall @t9 (=> @t7 @t1244))) % 1.52/1.78 (define @t1246 () (=> @t1136 @t1245)) % 1.52/1.78 (define @t1247 () (forall @t1137 @t1246)) % 1.52/1.78 (define @t1248 () (=> @t1139 @t1247)) % 1.52/1.78 (define @t1249 () (forall @t1141 @t1248)) % 1.52/1.78 (define @t1250 () (= tptp.contrasubsetT1 @t1249)) % 1.52/1.78 (define @t1251 () (_ (_ tptp.subset @t1234) @t1162)) % 1.52/1.78 (define @t1252 () (=> @t1181 @t1251)) % 1.52/1.78 (define @t1253 () (forall @t1137 (=> @t1136 @t1252))) % 1.52/1.78 (define @t1254 () (=> @t1139 @t1253)) % 1.52/1.78 (define @t1255 () (forall @t1141 @t1254)) % 1.52/1.78 (define @t1256 () (= tptp.contrasubsetT2 @t1255)) % 1.52/1.78 (define @t1257 () (=> @t1251 @t1181)) % 1.52/1.78 (define @t1258 () (forall @t1137 (=> @t1136 @t1257))) % 1.52/1.78 (define @t1259 () (=> @t1139 @t1258)) % 1.52/1.78 (define @t1260 () (forall @t1141 @t1259)) % 1.52/1.78 (define @t1261 () (= tptp.contrasubsetT3 @t1260)) % 1.52/1.78 (define @t1262 () (_ @t567 @t1162)) % 1.52/1.78 (define @t1263 () (_ @t5 @t1262)) % 1.52/1.78 (define @t1264 () (=> @t696 @t1263)) % 1.52/1.78 (define @t1265 () (forall @t9 (=> @t7 @t1264))) % 1.52/1.78 (define @t1266 () (=> @t1139 @t1265)) % 1.52/1.78 (define @t1267 () (forall @t1141 @t1266)) % 1.52/1.78 (define @t1268 () (= tptp.doubleComplementI1 @t1267)) % 1.52/1.78 (define @t1269 () (=> @t1263 @t696)) % 1.52/1.78 (define @t1270 () (forall @t9 (=> @t7 @t1269))) % 1.52/1.78 (define @t1271 () (=> @t1139 @t1270)) % 1.52/1.78 (define @t1272 () (forall @t1141 @t1271)) % 1.52/1.78 (define @t1273 () (= tptp.doubleComplementE1 @t1272)) % 1.52/1.78 (define @t1274 () (_ @t1180 @t1262)) % 1.52/1.78 (define @t1275 () (forall @t1141 (=> @t1139 @t1274))) % 1.52/1.78 (define @t1276 () (= tptp.doubleComplementSub1 @t1275)) % 1.52/1.78 (define @t1277 () (_ (_ tptp.subset @t1262) @t695)) % 1.52/1.78 (define @t1278 () (forall @t1141 (=> @t1139 @t1277))) % 1.52/1.78 (define @t1279 () (= tptp.doubleComplementSub2 @t1278)) % 1.52/1.78 (define @t1280 () (= @t695 @t1262)) % 1.52/1.78 (define @t1281 () (forall @t1141 (=> @t1139 @t1280))) % 1.52/1.78 (define @t1282 () (= tptp.doubleComplementEq @t1281)) % 1.52/1.78 (define @t1283 () (=> @t1203 @t1216)) % 1.52/1.78 (define @t1284 () (forall @t9 (=> @t7 @t1283))) % 1.52/1.78 (define @t1285 () (=> @t1136 @t1284)) % 1.52/1.78 (define @t1286 () (forall @t1137 @t1285)) % 1.52/1.78 (define @t1287 () (=> @t1139 @t1286)) % 1.52/1.78 (define @t1288 () (forall @t1141 @t1287)) % 1.52/1.78 (define @t1289 () (= tptp.complementTnotintersectT @t1288)) % 1.52/1.78 (define @t1290 () (_ @t567 @t1132)) % 1.52/1.78 (define @t1291 () (_ @t5 @t1290)) % 1.52/1.78 (define @t1292 () (=> @t1203 @t1291)) % 1.52/1.78 (define @t1293 () (forall @t9 (=> @t7 @t1292))) % 1.52/1.78 (define @t1294 () (=> @t1136 @t1293)) % 1.52/1.78 (define @t1295 () (forall @t1137 @t1294)) % 1.52/1.78 (define @t1296 () (=> @t1139 @t1295)) % 1.52/1.78 (define @t1297 () (forall @t1141 @t1296)) % 1.52/1.78 (define @t1298 () (= tptp.complementImpComplementIntersect @t1297)) % 1.52/1.78 (define @t1299 () (_ (_ tptp.subset @t1162) @t1290)) % 1.52/1.78 (define @t1300 () (forall @t1137 (=> @t1136 @t1299))) % 1.52/1.78 (define @t1301 () (=> @t1139 @t1300)) % 1.52/1.78 (define @t1302 () (forall @t1141 @t1301)) % 1.52/1.78 (define @t1303 () (= tptp.complementSubsetComplementIntersect @t1302)) % 1.52/1.78 (define @t1304 () (_ tptp.powerset @t1290)) % 1.52/1.78 (define @t1305 () (_ @t1163 @t1304)) % 1.52/1.78 (define @t1306 () (forall @t1137 (=> @t1136 @t1305))) % 1.52/1.78 (define @t1307 () (=> @t1139 @t1306)) % 1.52/1.78 (define @t1308 () (forall @t1141 @t1307)) % 1.52/1.78 (define @t1309 () (= tptp.complementInPowersetComplementIntersect @t1308)) % 1.52/1.78 (define @t1310 () (=> @t1168 @t1203)) % 1.52/1.78 (define @t1311 () (forall @t9 (=> @t7 @t1310))) % 1.52/1.78 (define @t1312 () (=> @t1235 @t1311)) % 1.52/1.78 (define @t1313 () (=> @t1136 @t1312)) % 1.52/1.78 (define @t1314 () (forall @t1137 @t1313)) % 1.52/1.78 (define @t1315 () (=> @t1139 @t1314)) % 1.52/1.78 (define @t1316 () (forall @t1141 @t1315)) % 1.52/1.78 (define @t1317 () (= tptp.contraSubsetComplement @t1316)) % 1.52/1.78 (define @t1318 () (_ tptp.subset @t1131)) % 1.52/1.78 (define @t1319 () (_ @t1318 @t1162)) % 1.52/1.78 (define @t1320 () (=> @t1235 @t1319)) % 1.52/1.78 (define @t1321 () (forall @t1137 (=> @t1136 @t1320))) % 1.52/1.78 (define @t1322 () (=> @t1139 @t1321)) % 1.52/1.78 (define @t1323 () (forall @t1141 @t1322)) % 1.52/1.78 (define @t1324 () (= tptp.complementTcontraSubset @t1323)) % 1.52/1.78 (define @t1325 () (_ @t5 @t1145)) % 1.52/1.78 (define @t1326 () (not @t1325)) % 1.52/1.78 (define @t1327 () (=> @t1326 @t1217)) % 1.52/1.78 (define @t1328 () (forall @t9 (=> @t7 @t1327))) % 1.52/1.78 (define @t1329 () (=> @t1136 @t1328)) % 1.52/1.78 (define @t1330 () (forall @t1137 @t1329)) % 1.52/1.78 (define @t1331 () (=> @t1139 @t1330)) % 1.52/1.78 (define @t1332 () (forall @t1141 @t1331)) % 1.52/1.78 (define @t1333 () (= tptp.binunionTILcontra @t1332)) % 1.52/1.78 (define @t1334 () (=> @t1326 @t1225)) % 1.52/1.78 (define @t1335 () (forall @t9 (=> @t7 @t1334))) % 1.52/1.78 (define @t1336 () (=> @t1136 @t1335)) % 1.52/1.78 (define @t1337 () (forall @t1137 @t1336)) % 1.52/1.78 (define @t1338 () (=> @t1139 @t1337)) % 1.52/1.78 (define @t1339 () (forall @t1141 @t1338)) % 1.52/1.78 (define @t1340 () (= tptp.binunionTIRcontra @t1339)) % 1.52/1.78 (define @t1341 () (@var "Z" $$unsorted)) % 1.52/1.78 (define @t1342 () (_ @t1144 @t1341)) % 1.52/1.78 (define @t1343 () (_ @t5 @t1342)) % 1.52/1.78 (define @t1344 () (=> @t1215 @t1343)) % 1.52/1.78 (define @t1345 () (forall @t9 (=> @t7 @t1344))) % 1.52/1.78 (define @t1346 () (_ tptp.in @t1341)) % 1.52/1.78 (define @t1347 () (_ @t1346 @t33)) % 1.52/1.78 (define @t1348 () (=> @t1347 @t1345)) % 1.52/1.78 (define @t1349 () (@list @t1341)) % 1.52/1.78 (define @t1350 () (forall @t1349 @t1348)) % 1.52/1.78 (define @t1351 () (=> @t1136 @t1350)) % 1.52/1.78 (define @t1352 () (forall @t1137 @t1351)) % 1.52/1.78 (define @t1353 () (=> @t1139 @t1352)) % 1.52/1.78 (define @t1354 () (forall @t1141 @t1353)) % 1.52/1.78 (define @t1355 () (= tptp.inIntersectImpInUnion @t1354)) % 1.52/1.78 (define @t1356 () (_ (_ tptp.binunion @t1131) @t1341)) % 1.52/1.78 (define @t1357 () (_ @t5 @t1356)) % 1.52/1.78 (define @t1358 () (=> @t1215 @t1357)) % 1.52/1.78 (define @t1359 () (forall @t9 (=> @t7 @t1358))) % 1.52/1.78 (define @t1360 () (=> @t1347 @t1359)) % 1.52/1.78 (define @t1361 () (forall @t1349 @t1360)) % 1.52/1.78 (define @t1362 () (=> @t1136 @t1361)) % 1.52/1.78 (define @t1363 () (forall @t1137 @t1362)) % 1.52/1.78 (define @t1364 () (=> @t1139 @t1363)) % 1.52/1.78 (define @t1365 () (forall @t1141 @t1364)) % 1.52/1.78 (define @t1366 () (= tptp.inIntersectImpInUnion2 @t1365)) % 1.52/1.78 (define @t1367 () (_ (_ tptp.binintersect @t1342) @t1356)) % 1.52/1.78 (define @t1368 () (_ @t5 @t1367)) % 1.52/1.78 (define @t1369 () (=> @t1215 @t1368)) % 1.52/1.78 (define @t1370 () (forall @t9 (=> @t7 @t1369))) % 1.52/1.78 (define @t1371 () (=> @t1347 @t1370)) % 1.52/1.78 (define @t1372 () (forall @t1349 @t1371)) % 1.52/1.78 (define @t1373 () (=> @t1136 @t1372)) % 1.52/1.78 (define @t1374 () (forall @t1137 @t1373)) % 1.52/1.78 (define @t1375 () (=> @t1139 @t1374)) % 1.52/1.78 (define @t1376 () (forall @t1141 @t1375)) % 1.52/1.78 (define @t1377 () (= tptp.inIntersectImpInIntersectUnions @t1376)) % 1.52/1.78 (define @t1378 () (_ tptp.powerset @t1367)) % 1.52/1.78 (define @t1379 () (_ @t1133 @t1378)) % 1.52/1.78 (define @t1380 () (forall @t1349 (=> @t1347 @t1379))) % 1.52/1.78 (define @t1381 () (=> @t1136 @t1380)) % 1.52/1.78 (define @t1382 () (forall @t1137 @t1381)) % 1.52/1.78 (define @t1383 () (=> @t1139 @t1382)) % 1.52/1.78 (define @t1384 () (forall @t1141 @t1383)) % 1.52/1.78 (define @t1385 () (= tptp.intersectInPowersetIntersectUnions @t1384)) % 1.52/1.78 (define @t1386 () (_ @t567 @t1145)) % 1.52/1.78 (define @t1387 () (_ @t5 @t1386)) % 1.52/1.78 (define @t1388 () (=> @t1387 @t1217)) % 1.52/1.78 (define @t1389 () (forall @t9 (=> @t7 @t1388))) % 1.52/1.78 (define @t1390 () (=> @t1136 @t1389)) % 1.52/1.78 (define @t1391 () (forall @t1137 @t1390)) % 1.52/1.78 (define @t1392 () (=> @t1139 @t1391)) % 1.52/1.78 (define @t1393 () (forall @t1141 @t1392)) % 1.52/1.78 (define @t1394 () (= tptp.inComplementUnionImpNotIn1 @t1393)) % 1.52/1.78 (define @t1395 () (=> @t1387 @t1203)) % 1.52/1.78 (define @t1396 () (forall @t9 (=> @t7 @t1395))) % 1.52/1.78 (define @t1397 () (=> @t1136 @t1396)) % 1.52/1.78 (define @t1398 () (forall @t1137 @t1397)) % 1.52/1.78 (define @t1399 () (=> @t1139 @t1398)) % 1.52/1.78 (define @t1400 () (forall @t1141 @t1399)) % 1.52/1.78 (define @t1401 () (= tptp.inComplementUnionImpInComplement1 @t1400)) % 1.52/1.78 (define @t1402 () (=> @t1168 @t173)) % 1.52/1.78 (define @t1403 () (=> @t1402 @t173)) % 1.52/1.78 (define @t1404 () (=> @t696 @t173)) % 1.52/1.78 (define @t1405 () (=> @t1404 @t1403)) % 1.52/1.78 (define @t1406 () (=> @t1325 @t1405)) % 1.52/1.78 (define @t1407 () (forall @t176 (=> @t7 @t1406))) % 1.52/1.78 (define @t1408 () (=> @t1136 @t1407)) % 1.52/1.78 (define @t1409 () (forall @t1137 @t1408)) % 1.52/1.78 (define @t1410 () (=> @t1139 @t1409)) % 1.52/1.78 (define @t1411 () (forall @t1141 @t1410)) % 1.52/1.78 (define @t1412 () (= tptp.binunionTE @t1411)) % 1.52/1.78 (define @t1413 () (=> @t1225 @t1326)) % 1.52/1.78 (define @t1414 () (=> @t1217 @t1413)) % 1.52/1.78 (define @t1415 () (forall @t9 (=> @t7 @t1414))) % 1.52/1.78 (define @t1416 () (=> @t1136 @t1415)) % 1.52/1.78 (define @t1417 () (forall @t1137 @t1416)) % 1.52/1.78 (define @t1418 () (=> @t1139 @t1417)) % 1.52/1.78 (define @t1419 () (forall @t1141 @t1418)) % 1.52/1.78 (define @t1420 () (= tptp.binunionTEcontra @t1419)) % 1.52/1.78 (define @t1421 () (_ tptp.powerset @t1162)) % 1.52/1.78 (define @t1422 () (_ (_ tptp.in @t1386) @t1421)) % 1.52/1.78 (define @t1423 () (forall @t1137 (=> @t1136 @t1422))) % 1.52/1.78 (define @t1424 () (=> @t1139 @t1423)) % 1.52/1.78 (define @t1425 () (forall @t1141 @t1424)) % 1.52/1.78 (define @t1426 () (= tptp.complementUnionInPowersetComplement @t1425)) % 1.52/1.78 (define @t1427 () (_ @t5 @t1234)) % 1.52/1.78 (define @t1428 () (=> @t1387 @t1427)) % 1.52/1.78 (define @t1429 () (forall @t9 (=> @t7 @t1428))) % 1.52/1.78 (define @t1430 () (=> @t1136 @t1429)) % 1.52/1.78 (define @t1431 () (forall @t1137 @t1430)) % 1.52/1.78 (define @t1432 () (=> @t1139 @t1431)) % 1.52/1.78 (define @t1433 () (forall @t1141 @t1432)) % 1.52/1.78 (define @t1434 () (= tptp.demorgan2a2 @t1433)) % 1.52/1.78 (define @t1435 () (_ (_ tptp.binunion @t1162) @t1234)) % 1.52/1.78 (define @t1436 () (_ @t5 @t1435)) % 1.52/1.78 (define @t1437 () (=> @t1291 @t1436)) % 1.52/1.78 (define @t1438 () (forall @t9 (=> @t7 @t1437))) % 1.52/1.78 (define @t1439 () (=> @t1136 @t1438)) % 1.52/1.78 (define @t1440 () (forall @t1137 @t1439)) % 1.52/1.78 (define @t1441 () (=> @t1139 @t1440)) % 1.52/1.78 (define @t1442 () (forall @t1141 @t1441)) % 1.52/1.78 (define @t1443 () (= tptp.demorgan1a @t1442)) % 1.52/1.78 (define @t1444 () (=> @t1436 @t1291)) % 1.52/1.78 (define @t1445 () (forall @t9 (=> @t7 @t1444))) % 1.52/1.78 (define @t1446 () (=> @t1136 @t1445)) % 1.52/1.78 (define @t1447 () (forall @t1137 @t1446)) % 1.52/1.78 (define @t1448 () (=> @t1139 @t1447)) % 1.52/1.78 (define @t1449 () (forall @t1141 @t1448)) % 1.52/1.78 (define @t1450 () (= tptp.demorgan1b @t1449)) % 1.52/1.78 (define @t1451 () (= @t1290 @t1435)) % 1.52/1.78 (define @t1452 () (forall @t1137 (=> @t1136 @t1451))) % 1.52/1.78 (define @t1453 () (=> @t1139 @t1452)) % 1.52/1.78 (define @t1454 () (forall @t1141 @t1453)) % 1.52/1.78 (define @t1455 () (= tptp.demorgan1 @t1454)) % 1.52/1.78 (define @t1456 () (_ (_ tptp.binintersect @t1162) @t1234)) % 1.52/1.78 (define @t1457 () (_ @t5 @t1456)) % 1.52/1.78 (define @t1458 () (=> @t1387 @t1457)) % 1.52/1.78 (define @t1459 () (forall @t9 (=> @t7 @t1458))) % 1.52/1.78 (define @t1460 () (=> @t1136 @t1459)) % 1.52/1.78 (define @t1461 () (forall @t1137 @t1460)) % 1.52/1.78 (define @t1462 () (=> @t1139 @t1461)) % 1.52/1.78 (define @t1463 () (forall @t1141 @t1462)) % 1.52/1.78 (define @t1464 () (= tptp.demorgan2a @t1463)) % 1.52/1.78 (define @t1465 () (=> @t1427 @t1387)) % 1.52/1.78 (define @t1466 () (=> @t1203 @t1465)) % 1.52/1.78 (define @t1467 () (forall @t9 (=> @t7 @t1466))) % 1.52/1.78 (define @t1468 () (=> @t1136 @t1467)) % 1.52/1.78 (define @t1469 () (forall @t1137 @t1468)) % 1.52/1.78 (define @t1470 () (=> @t1139 @t1469)) % 1.52/1.78 (define @t1471 () (forall @t1141 @t1470)) % 1.52/1.78 (define @t1472 () (= tptp.demorgan2b2 @t1471)) % 1.52/1.78 (define @t1473 () (=> @t1457 @t1387)) % 1.52/1.78 (define @t1474 () (forall @t9 (=> @t7 @t1473))) % 1.52/1.78 (define @t1475 () (=> @t1136 @t1474)) % 1.52/1.78 (define @t1476 () (forall @t1137 @t1475)) % 1.52/1.78 (define @t1477 () (=> @t1139 @t1476)) % 1.52/1.78 (define @t1478 () (forall @t1141 @t1477)) % 1.52/1.78 (define @t1479 () (= tptp.demorgan2b @t1478)) % 1.52/1.78 (define @t1480 () (= @t1386 @t1456)) % 1.52/1.78 (define @t1481 () (forall @t1137 (=> @t1136 @t1480))) % 1.52/1.78 (define @t1482 () (=> @t1139 @t1481)) % 1.52/1.78 (define @t1483 () (forall @t1141 @t1482)) % 1.52/1.78 (define @t1484 () (= tptp.demorgan2 @t1483)) % 1.52/1.78 (define @t1485 () (forall @t9 (=> @t1215 @t7))) % 1.52/1.78 (define @t1486 () (=> @t1136 @t1485)) % 1.52/1.78 (define @t1487 () (forall @t1137 @t1486)) % 1.52/1.78 (define @t1488 () (=> @t1139 @t1487)) % 1.52/1.78 (define @t1489 () (forall @t1141 @t1488)) % 1.52/1.78 (define @t1490 () (= tptp.woz13rule0 @t1489)) % 1.52/1.78 (define @t1491 () (_ tptp.subset @t1132)) % 1.52/1.78 (define @t1492 () (_ @t1491 @t1341)) % 1.52/1.78 (define @t1493 () (_ @t1180 @t1341)) % 1.52/1.78 (define @t1494 () (=> @t1493 @t1492)) % 1.52/1.78 (define @t1495 () (forall @t1349 (=> @t1347 @t1494))) % 1.52/1.78 (define @t1496 () (=> @t1136 @t1495)) % 1.52/1.78 (define @t1497 () (forall @t1137 @t1496)) % 1.52/1.78 (define @t1498 () (=> @t1139 @t1497)) % 1.52/1.78 (define @t1499 () (forall @t1141 @t1498)) % 1.52/1.78 (define @t1500 () (= tptp.woz13rule1 @t1499)) % 1.52/1.78 (define @t1501 () (_ @t1318 @t1341)) % 1.52/1.78 (define @t1502 () (=> @t1501 @t1492)) % 1.52/1.78 (define @t1503 () (forall @t1349 (=> @t1347 @t1502))) % 1.52/1.78 (define @t1504 () (=> @t1136 @t1503)) % 1.52/1.78 (define @t1505 () (forall @t1137 @t1504)) % 1.52/1.78 (define @t1506 () (=> @t1139 @t1505)) % 1.52/1.78 (define @t1507 () (forall @t1141 @t1506)) % 1.52/1.78 (define @t1508 () (= tptp.woz13rule2 @t1507)) % 1.52/1.78 (define @t1509 () (_ (_ tptp.binintersect @t1131) @t1341)) % 1.52/1.78 (define @t1510 () (_ @t1180 @t1509)) % 1.52/1.78 (define @t1511 () (=> @t1493 @t1510)) % 1.52/1.78 (define @t1512 () (=> @t1181 @t1511)) % 1.52/1.78 (define @t1513 () (forall @t1349 (=> @t1347 @t1512))) % 1.52/1.78 (define @t1514 () (=> @t1136 @t1513)) % 1.52/1.78 (define @t1515 () (forall @t1137 @t1514)) % 1.52/1.78 (define @t1516 () (=> @t1139 @t1515)) % 1.52/1.78 (define @t1517 () (forall @t1141 @t1516)) % 1.52/1.78 (define @t1518 () (= tptp.woz13rule3 @t1517)) % 1.52/1.78 (define @t1519 () (@var "W" $$unsorted)) % 1.52/1.78 (define @t1520 () (_ (_ tptp.binintersect @t1341) @t1519)) % 1.52/1.78 (define @t1521 () (_ @t1491 @t1520)) % 1.52/1.78 (define @t1522 () (_ @t1318 @t1519)) % 1.52/1.78 (define @t1523 () (=> @t1522 @t1521)) % 1.52/1.78 (define @t1524 () (=> @t1493 @t1523)) % 1.52/1.78 (define @t1525 () (_ tptp.in @t1519)) % 1.52/1.78 (define @t1526 () (_ @t1525 @t33)) % 1.52/1.78 (define @t1527 () (@list @t1519)) % 1.52/1.78 (define @t1528 () (forall @t1527 (=> @t1526 @t1524))) % 1.52/1.78 (define @t1529 () (=> @t1347 @t1528)) % 1.52/1.78 (define @t1530 () (forall @t1349 @t1529)) % 1.52/1.78 (define @t1531 () (=> @t1136 @t1530)) % 1.52/1.78 (define @t1532 () (forall @t1137 @t1531)) % 1.52/1.78 (define @t1533 () (=> @t1139 @t1532)) % 1.52/1.78 (define @t1534 () (forall @t1141 @t1533)) % 1.52/1.78 (define @t1535 () (= tptp.woz13rule4 @t1534)) % 1.52/1.78 (define @t1536 () (_ @t567 @t1519)) % 1.52/1.78 (define @t1537 () (_ @t567 @t1341)) % 1.52/1.78 (define @t1538 () (_ (_ tptp.binintersect @t1537) @t1536)) % 1.52/1.78 (define @t1539 () (_ (_ tptp.binunion @t1456) @t1538)) % 1.52/1.78 (define @t1540 () (_ (_ tptp.binunion @t1341) @t1519)) % 1.52/1.78 (define @t1541 () (_ (_ tptp.binintersect @t1145) @t1540)) % 1.52/1.78 (define @t1542 () (_ @t567 @t1541)) % 1.52/1.78 (define @t1543 () (= @t1542 @t1539)) % 1.52/1.78 (define @t1544 () (forall @t1527 (=> @t1526 @t1543))) % 1.52/1.78 (define @t1545 () (=> @t1347 @t1544)) % 1.52/1.78 (define @t1546 () (forall @t1349 @t1545)) % 1.52/1.78 (define @t1547 () (=> @t1136 @t1546)) % 1.52/1.78 (define @t1548 () (forall @t1137 @t1547)) % 1.52/1.78 (define @t1549 () (=> @t1139 @t1548)) % 1.52/1.78 (define @t1550 () (forall @t1141 @t1549)) % 1.52/1.78 (define @t1551 () (= tptp.woz1_2 @t1550)) % 1.52/1.78 (define @t1552 () (forall @t70 (=> @t21 @t942))) % 1.52/1.78 (define @t1553 () (=> @t7 @t1552)) % 1.52/1.78 (define @t1554 () (forall @t9 @t1553)) % 1.52/1.78 (define @t1555 () (=> @t1554 @t939)) % 1.52/1.78 (define @t1556 () (forall @t150 @t1555)) % 1.52/1.78 (define @t1557 () (_ tptp.breln1 @t2)) % 1.52/1.78 (define @t1558 () (_ @t1557 @t937)) % 1.52/1.78 (define @t1559 () (=> @t1558 @t1556)) % 1.52/1.78 (define @t1560 () (@list @t2 @t937)) % 1.52/1.78 (define @t1561 () (forall @t1560 @t1559)) % 1.52/1.78 (define @t1562 () (= tptp.breln1all2 @t1561)) % 1.52/1.78 (define @t1563 () (_ tptp.breln1Set @t2)) % 1.52/1.78 (define @t1564 () (_ tptp.in @t937)) % 1.52/1.78 (define @t1565 () (_ @t1564 @t1563)) % 1.52/1.78 (define @t1566 () (forall @t1560 (=> @t1565 @t1558))) % 1.52/1.78 (define @t1567 () (= tptp.breln1SetBreln1 @t1566)) % 1.52/1.78 (define @t1568 () (_ tptp.kpair @t19)) % 1.52/1.78 (define @t1569 () (_ @t1568 @t289)) % 1.52/1.78 (define @t1570 () (_ (_ tptp.in @t1569) @t937)) % 1.52/1.78 (define @t1571 () (_ @t75 @t289)) % 1.52/1.78 (define @t1572 () (=> @t1571 @t1570)) % 1.52/1.78 (define @t1573 () (_ @t294 @t1)) % 1.52/1.78 (define @t1574 () (forall @t1067 (=> @t1573 @t1572))) % 1.52/1.78 (define @t1575 () (and @t76 @t1574)) % 1.52/1.78 (define @t1576 () (lambda @t70 @t1575)) % 1.52/1.78 (define @t1577 () (=> @t7 (_ tptp.singleton (_ @t410 @t1576)))) % 1.52/1.78 (define @t1578 () (forall @t9 @t1577)) % 1.52/1.78 (define @t1579 () (_ (_ tptp.reflwellordering @t1) @t937)) % 1.52/1.78 (define @t1580 () (=> @t1579 @t1578)) % 1.52/1.78 (define @t1581 () (_ tptp.breln1Set @t1)) % 1.52/1.78 (define @t1582 () (_ @t1564 @t1581)) % 1.52/1.78 (define @t1583 () (=> @t1582 @t1580)) % 1.52/1.78 (define @t1584 () (@list @t937)) % 1.52/1.78 (define @t1585 () (forall @t1584 @t1583)) % 1.52/1.78 (define @t1586 () (and @t354 @t76)) % 1.52/1.78 (define @t1587 () (exists @t70 @t1586)) % 1.52/1.78 (define @t1588 () (=> @t7 @t1587)) % 1.52/1.78 (define @t1589 () (forall @t9 @t1588)) % 1.52/1.78 (define @t1590 () (=> @t1589 @t1585)) % 1.52/1.78 (define @t1591 () (forall @t863 @t1590)) % 1.52/1.78 (define @t1592 () (= tptp.choice2fnsingleton @t1591)) % 1.52/1.78 (define @t1593 () (_ @t850 @t2)) % 1.52/1.78 (define @t1594 () (_ @t1593 @t860)) % 1.52/1.78 (define @t1595 () (_ @t1557 @t1594)) % 1.52/1.78 (define @t1596 () (@list @t2 @t67)) % 1.52/1.78 (define @t1597 () (forall @t1596 @t1595)) % 1.52/1.78 (define @t1598 () (= tptp.setOfPairsIsBReln1 @t1597)) % 1.52/1.78 (define @t1599 () (forall @t70 (=> @t21 @t996))) % 1.52/1.78 (define @t1600 () (=> @t7 @t1599)) % 1.52/1.78 (define @t1601 () (forall @t9 @t1600)) % 1.52/1.78 (define @t1602 () (=> @t1601 @t994)) % 1.52/1.78 (define @t1603 () (_ @t1557 @t993)) % 1.52/1.78 (define @t1604 () (=> @t1603 @t1602)) % 1.52/1.78 (define @t1605 () (forall @t1003 @t1604)) % 1.52/1.78 (define @t1606 () (=> @t1558 @t1605)) % 1.52/1.78 (define @t1607 () (forall @t1560 @t1606)) % 1.52/1.78 (define @t1608 () (= tptp.subbreln1 @t1607)) % 1.52/1.78 (define @t1609 () (forall @t70 (=> @t21 @t1009))) % 1.52/1.78 (define @t1610 () (=> @t7 @t1609)) % 1.52/1.78 (define @t1611 () (forall @t9 @t1610)) % 1.52/1.78 (define @t1612 () (=> @t1611 @t1008)) % 1.52/1.78 (define @t1613 () (=> @t1601 @t1612)) % 1.52/1.78 (define @t1614 () (=> @t1603 @t1613)) % 1.52/1.78 (define @t1615 () (forall @t1003 @t1614)) % 1.52/1.78 (define @t1616 () (=> @t1558 @t1615)) % 1.52/1.78 (define @t1617 () (forall @t1560 @t1616)) % 1.52/1.78 (define @t1618 () (= tptp.eqbreln1 @t1617)) % 1.52/1.78 (define @t1619 () (_ (_ tptp.breln1invset @t2) @t937)) % 1.52/1.78 (define @t1620 () (_ @t1557 @t1619)) % 1.52/1.78 (define @t1621 () (forall @t1560 (=> @t1558 @t1620))) % 1.52/1.78 (define @t1622 () (= tptp.breln1invprop @t1621)) % 1.52/1.78 (define @t1623 () (_ @t1568 @t4)) % 1.52/1.78 (define @t1624 () (_ (_ tptp.in @t1623) @t1619)) % 1.52/1.78 (define @t1625 () (=> @t941 @t1624)) % 1.52/1.78 (define @t1626 () (forall @t70 (=> @t21 @t1625))) % 1.52/1.78 (define @t1627 () (=> @t7 @t1626)) % 1.52/1.78 (define @t1628 () (forall @t9 @t1627)) % 1.52/1.78 (define @t1629 () (=> @t1558 @t1628)) % 1.52/1.78 (define @t1630 () (forall @t1560 @t1629)) % 1.52/1.78 (define @t1631 () (= tptp.breln1invI @t1630)) % 1.52/1.78 (define @t1632 () (=> @t1624 @t941)) % 1.52/1.78 (define @t1633 () (forall @t70 (=> @t21 @t1632))) % 1.52/1.78 (define @t1634 () (=> @t7 @t1633)) % 1.52/1.78 (define @t1635 () (forall @t9 @t1634)) % 1.52/1.78 (define @t1636 () (=> @t1558 @t1635)) % 1.52/1.78 (define @t1637 () (forall @t1560 @t1636)) % 1.52/1.78 (define @t1638 () (= tptp.breln1invE @t1637)) % 1.52/1.78 (define @t1639 () (_ (_ (_ tptp.breln1compset @t2) @t937) @t993)) % 1.52/1.78 (define @t1640 () (_ @t1557 @t1639)) % 1.52/1.78 (define @t1641 () (forall @t1003 (=> @t1603 @t1640))) % 1.52/1.78 (define @t1642 () (=> @t1558 @t1641)) % 1.52/1.78 (define @t1643 () (forall @t1560 @t1642)) % 1.52/1.78 (define @t1644 () (= tptp.breln1compprop @t1643)) % 1.52/1.78 (define @t1645 () (_ @t669 @t1639)) % 1.52/1.78 (define @t1646 () (_ @t781 @t19)) % 1.52/1.78 (define @t1647 () (_ (_ tptp.in @t1646) @t993)) % 1.52/1.78 (define @t1648 () (=> @t1647 @t1645)) % 1.52/1.78 (define @t1649 () (_ @t632 @t289)) % 1.52/1.78 (define @t1650 () (_ (_ tptp.in @t1649) @t937)) % 1.52/1.78 (define @t1651 () (=> @t1650 @t1648)) % 1.52/1.78 (define @t1652 () (_ @t294 @t2)) % 1.52/1.78 (define @t1653 () (forall @t1067 (=> @t1652 @t1651))) % 1.52/1.78 (define @t1654 () (=> @t21 @t1653)) % 1.52/1.78 (define @t1655 () (forall @t70 @t1654)) % 1.52/1.78 (define @t1656 () (=> @t7 @t1655)) % 1.52/1.78 (define @t1657 () (forall @t9 @t1656)) % 1.52/1.78 (define @t1658 () (=> @t1603 @t1657)) % 1.52/1.78 (define @t1659 () (forall @t1003 @t1658)) % 1.52/1.78 (define @t1660 () (=> @t1558 @t1659)) % 1.52/1.78 (define @t1661 () (forall @t1560 @t1660)) % 1.52/1.78 (define @t1662 () (= tptp.breln1compI @t1661)) % 1.52/1.78 (define @t1663 () (and @t1652 @t1650 @t1647)) % 1.52/1.78 (define @t1664 () (exists @t1067 @t1663)) % 1.52/1.78 (define @t1665 () (=> @t1645 @t1664)) % 1.52/1.78 (define @t1666 () (=> @t21 @t1665)) % 1.52/1.78 (define @t1667 () (forall @t70 @t1666)) % 1.52/1.78 (define @t1668 () (=> @t7 @t1667)) % 1.52/1.78 (define @t1669 () (forall @t9 @t1668)) % 1.52/1.78 (define @t1670 () (=> @t1603 @t1669)) % 1.52/1.78 (define @t1671 () (forall @t1003 @t1670)) % 1.52/1.78 (define @t1672 () (=> @t1558 @t1671)) % 1.52/1.78 (define @t1673 () (forall @t1560 @t1672)) % 1.52/1.78 (define @t1674 () (= tptp.breln1compE @t1673)) % 1.52/1.78 (define @t1675 () (=> @t1647 @t173)) % 1.52/1.78 (define @t1676 () (=> @t1650 @t1675)) % 1.52/1.78 (define @t1677 () (forall @t1067 (=> @t1652 @t1676))) % 1.52/1.78 (define @t1678 () (=> @t1677 @t173)) % 1.52/1.78 (define @t1679 () (forall @t179 @t1678)) % 1.52/1.78 (define @t1680 () (=> @t1645 @t1679)) % 1.52/1.78 (define @t1681 () (=> @t21 @t1680)) % 1.52/1.78 (define @t1682 () (forall @t70 @t1681)) % 1.52/1.78 (define @t1683 () (=> @t7 @t1682)) % 1.52/1.78 (define @t1684 () (forall @t9 @t1683)) % 1.52/1.78 (define @t1685 () (=> @t1603 @t1684)) % 1.52/1.78 (define @t1686 () (forall @t1003 @t1685)) % 1.52/1.78 (define @t1687 () (=> @t1558 @t1686)) % 1.52/1.78 (define @t1688 () (forall @t1560 @t1687)) % 1.52/1.78 (define @t1689 () (= tptp.breln1compEex @t1688)) % 1.52/1.78 (define @t1690 () (_ (_ tptp.binunion @t937) @t993)) % 1.52/1.78 (define @t1691 () (_ @t1557 @t1690)) % 1.52/1.78 (define @t1692 () (forall @t1003 (=> @t1603 @t1691))) % 1.52/1.78 (define @t1693 () (=> @t1558 @t1692)) % 1.52/1.78 (define @t1694 () (forall @t1560 @t1693)) % 1.52/1.78 (define @t1695 () (= tptp.breln1unionprop @t1694)) % 1.52/1.78 (define @t1696 () (_ @t669 @t1690)) % 1.52/1.78 (define @t1697 () (=> @t941 @t1696)) % 1.52/1.78 (define @t1698 () (forall @t70 (=> @t21 @t1697))) % 1.52/1.78 (define @t1699 () (=> @t7 @t1698)) % 1.52/1.78 (define @t1700 () (forall @t9 @t1699)) % 1.52/1.78 (define @t1701 () (=> @t1603 @t1700)) % 1.52/1.78 (define @t1702 () (forall @t1003 @t1701)) % 1.52/1.78 (define @t1703 () (=> @t1558 @t1702)) % 1.52/1.78 (define @t1704 () (forall @t1560 @t1703)) % 1.52/1.78 (define @t1705 () (= tptp.breln1unionIL @t1704)) % 1.52/1.78 (define @t1706 () (=> @t995 @t1696)) % 1.52/1.78 (define @t1707 () (forall @t70 (=> @t21 @t1706))) % 1.52/1.78 (define @t1708 () (=> @t7 @t1707)) % 1.52/1.78 (define @t1709 () (forall @t9 @t1708)) % 1.52/1.78 (define @t1710 () (=> @t1603 @t1709)) % 1.52/1.78 (define @t1711 () (forall @t1003 @t1710)) % 1.52/1.78 (define @t1712 () (=> @t1558 @t1711)) % 1.52/1.78 (define @t1713 () (forall @t1560 @t1712)) % 1.52/1.78 (define @t1714 () (= tptp.breln1unionIR @t1713)) % 1.52/1.78 (define @t1715 () (or @t941 @t995)) % 1.52/1.78 (define @t1716 () (=> @t1715 @t1696)) % 1.52/1.78 (define @t1717 () (forall @t70 (=> @t21 @t1716))) % 1.52/1.78 (define @t1718 () (=> @t7 @t1717)) % 1.52/1.78 (define @t1719 () (forall @t9 @t1718)) % 1.52/1.78 (define @t1720 () (=> @t1603 @t1719)) % 1.52/1.78 (define @t1721 () (forall @t1003 @t1720)) % 1.52/1.78 (define @t1722 () (=> @t1558 @t1721)) % 1.52/1.78 (define @t1723 () (forall @t1560 @t1722)) % 1.52/1.78 (define @t1724 () (=> tptp.breln1unionIR @t1723)) % 1.52/1.78 (define @t1725 () (=> tptp.breln1unionIL @t1724)) % 1.52/1.78 (define @t1726 () (=> tptp.breln1unionprop @t1725)) % 1.52/1.78 (define @t1727 () (=> tptp.breln1compEex @t1726)) % 1.52/1.78 (define @t1728 () (=> tptp.breln1compE @t1727)) % 1.52/1.78 (define @t1729 () (=> tptp.breln1compI @t1728)) % 1.52/1.78 (define @t1730 () (=> tptp.breln1compprop @t1729)) % 1.52/1.78 (define @t1731 () (=> tptp.breln1invE @t1730)) % 1.52/1.78 (define @t1732 () (=> tptp.breln1invI @t1731)) % 1.52/1.78 (define @t1733 () (=> tptp.breln1invprop @t1732)) % 1.52/1.78 (define @t1734 () (=> tptp.eqbreln1 @t1733)) % 1.52/1.78 (define @t1735 () (=> tptp.subbreln1 @t1734)) % 1.52/1.78 (define @t1736 () (=> tptp.breln1all1 @t1735)) % 1.52/1.78 (define @t1737 () (=> tptp.setOfPairsIsBReln1 @t1736)) % 1.52/1.78 (define @t1738 () (=> tptp.choice2fnsingleton @t1737)) % 1.52/1.78 (define @t1739 () (=> tptp.breln1SetBreln1 @t1738)) % 1.52/1.78 (define @t1740 () (=> tptp.breln1all2 @t1739)) % 1.52/1.78 (define @t1741 () (=> tptp.woz1_5 @t1740)) % 1.52/1.78 (define @t1742 () (=> tptp.woz1_4 @t1741)) % 1.52/1.78 (define @t1743 () (=> tptp.woz1_3 @t1742)) % 1.52/1.78 (define @t1744 () (=> tptp.woz1_2 @t1743)) % 1.52/1.78 (define @t1745 () (=> tptp.woz1_1 @t1744)) % 1.52/1.78 (define @t1746 () (=> tptp.woz13rule4 @t1745)) % 1.52/1.78 (define @t1747 () (=> tptp.woz13rule3 @t1746)) % 1.52/1.78 (define @t1748 () (=> tptp.woz13rule2 @t1747)) % 1.52/1.78 (define @t1749 () (=> tptp.woz13rule1 @t1748)) % 1.52/1.78 (define @t1750 () (=> tptp.woz13rule0 @t1749)) % 1.52/1.78 (define @t1751 () (=> tptp.demorgan2 @t1750)) % 1.52/1.78 (define @t1752 () (=> tptp.demorgan2b @t1751)) % 1.52/1.78 (define @t1753 () (=> tptp.demorgan2b2 @t1752)) % 1.52/1.78 (define @t1754 () (=> tptp.demorgan2a @t1753)) % 1.52/1.78 (define @t1755 () (=> tptp.demorgan1 @t1754)) % 1.52/1.78 (define @t1756 () (=> tptp.demorgan1b @t1755)) % 1.52/1.78 (define @t1757 () (=> tptp.demorgan1a @t1756)) % 1.52/1.78 (define @t1758 () (=> tptp.demorgan2a2 @t1757)) % 1.52/1.78 (define @t1759 () (=> tptp.complementUnionInPowersetComplement @t1758)) % 1.52/1.78 (define @t1760 () (=> tptp.demorgan2a1 @t1759)) % 1.52/1.78 (define @t1761 () (=> tptp.binunionTEcontra @t1760)) % 1.52/1.78 (define @t1762 () (=> tptp.binunionTE @t1761)) % 1.52/1.78 (define @t1763 () (=> tptp.inComplementUnionImpInComplement1 @t1762)) % 1.52/1.78 (define @t1764 () (=> tptp.inComplementUnionImpNotIn1 @t1763)) % 1.52/1.78 (define @t1765 () (=> tptp.intersectInPowersetIntersectUnions @t1764)) % 1.52/1.78 (define @t1766 () (=> tptp.inIntersectImpInIntersectUnions @t1765)) % 1.52/1.78 (define @t1767 () (=> tptp.inIntersectImpInUnion2 @t1766)) % 1.52/1.78 (define @t1768 () (=> tptp.inIntersectImpInUnion @t1767)) % 1.52/1.78 (define @t1769 () (=> tptp.binunionTIRcontra @t1768)) % 1.52/1.78 (define @t1770 () (=> tptp.binunionTILcontra @t1769)) % 1.52/1.78 (define @t1771 () (=> tptp.complementTcontraSubset @t1770)) % 1.52/1.78 (define @t1772 () (=> tptp.contraSubsetComplement @t1771)) % 1.52/1.78 (define @t1773 () (=> tptp.complementInPowersetComplementIntersect @t1772)) % 1.52/1.78 (define @t1774 () (=> tptp.complementSubsetComplementIntersect @t1773)) % 1.52/1.78 (define @t1775 () (=> tptp.complementImpComplementIntersect @t1774)) % 1.52/1.78 (define @t1776 () (=> tptp.complementTnotintersectT @t1775)) % 1.52/1.78 (define @t1777 () (=> tptp.doubleComplementEq @t1776)) % 1.52/1.78 (define @t1778 () (=> tptp.doubleComplementSub2 @t1777)) % 1.52/1.78 (define @t1779 () (=> tptp.doubleComplementSub1 @t1778)) % 1.52/1.78 (define @t1780 () (=> tptp.doubleComplementE1 @t1779)) % 1.52/1.78 (define @t1781 () (=> tptp.doubleComplementI1 @t1780)) % 1.52/1.78 (define @t1782 () (=> tptp.contrasubsetT3 @t1781)) % 1.52/1.78 (define @t1783 () (=> tptp.contrasubsetT2 @t1782)) % 1.52/1.78 (define @t1784 () (=> tptp.contrasubsetT1 @t1783)) % 1.52/1.78 (define @t1785 () (=> tptp.contrasubsetT @t1784)) % 1.52/1.78 (define @t1786 () (=> tptp.binintersectTERcontra @t1785)) % 1.52/1.78 (define @t1787 () (=> tptp.binintersectTELcontra @t1786)) % 1.52/1.78 (define @t1788 () (=> tptp.complementTE1 @t1787)) % 1.52/1.78 (define @t1789 () (=> tptp.complementTI1 @t1788)) % 1.52/1.78 (define @t1790 () (=> tptp.powersetTE1 @t1789)) % 1.52/1.78 (define @t1791 () (=> tptp.powersetTI1 @t1790)) % 1.52/1.78 (define @t1792 () (=> tptp.subsetTI @t1791)) % 1.52/1.78 (define @t1793 () (=> tptp.setextT @t1792)) % 1.52/1.78 (define @t1794 () (=> tptp.complementT_lem @t1793)) % 1.52/1.78 (define @t1795 () (=> tptp.setminusT_lem @t1794)) % 1.52/1.78 (define @t1796 () (=> tptp.powersetT_lem @t1795)) % 1.52/1.78 (define @t1797 () (=> tptp.binunionT_lem @t1796)) % 1.52/1.78 (define @t1798 () (=> tptp.binintersectT_lem @t1797)) % 1.52/1.78 (define @t1799 () (=> tptp.iftrueorfalse @t1798)) % 1.52/1.78 (define @t1800 () (=> tptp.iffalse @t1799)) % 1.52/1.78 (define @t1801 () (=> tptp.iftrue @t1800)) % 1.52/1.78 (define @t1802 () (=> tptp.theeq @t1801)) % 1.52/1.78 (define @t1803 () (=> tptp.ifp @t1802)) % 1.52/1.78 (define @t1804 () (=> tptp.ifSingleton @t1803)) % 1.52/1.78 (define @t1805 () (=> tptp.iftrueProp2 @t1804)) % 1.52/1.78 (define @t1806 () (=> tptp.iftrueProp1 @t1805)) % 1.52/1.78 (define @t1807 () (=> tptp.iffalseProp2 @t1806)) % 1.52/1.78 (define @t1808 () (=> tptp.iffalseProp1 @t1807)) % 1.52/1.78 (define @t1809 () (=> tptp.eta2 @t1808)) % 1.52/1.78 (define @t1810 () (=> tptp.beta2 @t1809)) % 1.52/1.78 (define @t1811 () (=> tptp.lam2lamEq @t1810)) % 1.52/1.78 (define @t1812 () (=> tptp.eta1 @t1811)) % 1.52/1.78 (define @t1813 () (=> tptp.beta1 @t1812)) % 1.52/1.78 (define @t1814 () (=> tptp.ap2apEq2 @t1813)) % 1.52/1.78 (define @t1815 () (=> tptp.ap2apEq1 @t1814)) % 1.52/1.78 (define @t1816 () (=> tptp.funcext2 @t1815)) % 1.52/1.78 (define @t1817 () (=> tptp.funcext @t1816)) % 1.52/1.78 (define @t1818 () (=> tptp.eqbreln @t1817)) % 1.52/1.78 (define @t1819 () (=> tptp.subbreln @t1818)) % 1.52/1.78 (define @t1820 () (=> tptp.funcGraphProp4 @t1819)) % 1.52/1.78 (define @t1821 () (=> tptp.funcextLem @t1820)) % 1.52/1.78 (define @t1822 () (=> tptp.funcGraphProp2 @t1821)) % 1.52/1.78 (define @t1823 () (=> tptp.funcGraphProp3 @t1822)) % 1.52/1.78 (define @t1824 () (=> tptp.funcGraphProp1 @t1823)) % 1.52/1.78 (define @t1825 () (=> tptp.ex1E2 @t1824)) % 1.52/1.78 (define @t1826 () (=> tptp.brelnall2 @t1825)) % 1.52/1.78 (define @t1827 () (=> tptp.brelnall1 @t1826)) % 1.52/1.78 (define @t1828 () (=> tptp.lam2p @t1827)) % 1.52/1.78 (define @t1829 () (=> tptp.lamp @t1828)) % 1.52/1.78 (define @t1830 () (=> tptp.lamProp @t1829)) % 1.52/1.78 (define @t1831 () (=> tptp.funcinfuncset @t1830)) % 1.52/1.78 (define @t1832 () (=> tptp.ap2p @t1831)) % 1.52/1.78 (define @t1833 () (=> tptp.infuncsetfunc @t1832)) % 1.52/1.78 (define @t1834 () (=> tptp.app @t1833)) % 1.52/1.78 (define @t1835 () (=> tptp.apProp @t1834)) % 1.52/1.78 (define @t1836 () (=> tptp.funcImageSingleton @t1835)) % 1.52/1.78 (define @t1837 () (=> tptp.dpsetconstrER @t1836)) % 1.52/1.78 (define @t1838 () (=> tptp.dpsetconstrEL2 @t1837)) % 1.52/1.78 (define @t1839 () (=> tptp.dpsetconstrEL1 @t1838)) % 1.52/1.78 (define @t1840 () (=> tptp.dpsetconstrERa @t1839)) % 1.52/1.78 (define @t1841 () (=> tptp.setOfPairsIsBReln @t1840)) % 1.52/1.78 (define @t1842 () (=> tptp.dpsetconstrSub @t1841)) % 1.52/1.78 (define @t1843 () (=> tptp.dpsetconstrI @t1842)) % 1.52/1.78 (define @t1844 () (=> tptp.cartprodpairsurjEq @t1843)) % 1.52/1.78 (define @t1845 () (=> tptp.cartprodsndpairEq @t1844)) % 1.52/1.78 (define @t1846 () (=> tptp.cartprodfstpairEq @t1845)) % 1.52/1.78 (define @t1847 () (=> tptp.cartprodmempaircEq @t1846)) % 1.52/1.78 (define @t1848 () (=> tptp.cartprodpairmemER @t1847)) % 1.52/1.78 (define @t1849 () (=> tptp.cartprodpairmemEL @t1848)) % 1.52/1.78 (define @t1850 () (=> tptp.cartprodsndin @t1849)) % 1.52/1.78 (define @t1851 () (=> tptp.kpairsurjEq @t1850)) % 1.52/1.78 (define @t1852 () (=> tptp.ksndpairEq @t1851)) % 1.52/1.78 (define @t1853 () (=> tptp.ksndsingleton @t1852)) % 1.52/1.78 (define @t1854 () (=> tptp.setukpairinjR @t1853)) % 1.52/1.78 (define @t1855 () (=> tptp.setukpairinjR2 @t1854)) % 1.52/1.78 (define @t1856 () (=> tptp.upairequniteq @t1855)) % 1.52/1.78 (define @t1857 () (=> tptp.setukpairinjR1 @t1856)) % 1.52/1.78 (define @t1858 () (=> tptp.setukpairinjR12 @t1857)) % 1.52/1.78 (define @t1859 () (=> tptp.setukpairinjR11 @t1858)) % 1.52/1.78 (define @t1860 () (=> tptp.setukpairinjL @t1859)) % 1.52/1.78 (define @t1861 () (=> tptp.setukpairinjL2 @t1860)) % 1.52/1.78 (define @t1862 () (=> tptp.cartprodfstin @t1861)) % 1.52/1.78 (define @t1863 () (=> tptp.kfstpairEq @t1862)) % 1.52/1.78 (define @t1864 () (=> tptp.theprop @t1863)) % 1.52/1.78 (define @t1865 () (=> tptp.kfstsingleton @t1864)) % 1.52/1.78 (define @t1866 () (=> tptp.setukpairinjL1 @t1865)) % 1.52/1.78 (define @t1867 () (=> tptp.singletonsuniq @t1866)) % 1.52/1.78 (define @t1868 () (=> tptp.ex1I2 @t1867)) % 1.52/1.78 (define @t1869 () (=> tptp.ex1I @t1868)) % 1.52/1.78 (define @t1870 () (=> tptp.ex1E1 @t1869)) % 1.52/1.78 (define @t1871 () (=> tptp.singletonprop @t1870)) % 1.52/1.78 (define @t1872 () (=> tptp.setunionsingleton @t1871)) % 1.52/1.78 (define @t1873 () (=> tptp.setunionsingleton2 @t1872)) % 1.52/1.78 (define @t1874 () (=> tptp.setunionsingleton1 @t1873)) % 1.52/1.78 (define @t1875 () (=> tptp.setunionE2 @t1874)) % 1.52/1.78 (define @t1876 () (=> tptp.cartprodmempair @t1875)) % 1.52/1.78 (define @t1877 () (=> tptp.cartprodmempair1 @t1876)) % 1.52/1.78 (define @t1878 () (=> tptp.cartprodpairin @t1877)) % 1.52/1.78 (define @t1879 () (=> tptp.ubforcartprodlem3 @t1878)) % 1.52/1.78 (define @t1880 () (=> tptp.ubforcartprodlem2 @t1879)) % 1.52/1.78 (define @t1881 () (=> tptp.ubforcartprodlem1 @t1880)) % 1.52/1.78 (define @t1882 () (=> tptp.upairinpowunion @t1881)) % 1.52/1.78 (define @t1883 () (=> tptp.upairsubunion @t1882)) % 1.52/1.78 (define @t1884 () (=> tptp.upairset2E @t1883)) % 1.52/1.78 (define @t1885 () (=> tptp.singletoninpowunion @t1884)) % 1.52/1.78 (define @t1886 () (=> tptp.singletoninpowerset @t1885)) % 1.52/1.78 (define @t1887 () (=> tptp.singletonsubset @t1886)) % 1.52/1.78 (define @t1888 () (=> tptp.kpairp @t1887)) % 1.52/1.78 (define @t1889 () (=> tptp.kpairiskpair @t1888)) % 1.52/1.78 (define @t1890 () (=> tptp.setukpairIR @t1889)) % 1.52/1.78 (define @t1891 () (=> tptp.setukpairIL @t1890)) % 1.52/1.78 (define @t1892 () (=> tptp.secondinupair @t1891)) % 1.52/1.78 (define @t1893 () (=> tptp.symdiffIneg2 @t1892)) % 1.52/1.78 (define @t1894 () (=> tptp.symdiffIneg1 @t1893)) % 1.52/1.78 (define @t1895 () (=> tptp.symdiffI2 @t1894)) % 1.52/1.78 (define @t1896 () (=> tptp.symdiffI1 @t1895)) % 1.52/1.78 (define @t1897 () (=> tptp.symdiffE @t1896)) % 1.52/1.78 (define @t1898 () (=> tptp.setminusSubset1 @t1897)) % 1.52/1.78 (define @t1899 () (=> tptp.setminusLsub @t1898)) % 1.52/1.78 (define @t1900 () (=> tptp.setminusIRneg @t1899)) % 1.52/1.78 (define @t1901 () (=> tptp.setminusILneg @t1900)) % 1.52/1.78 (define @t1902 () (=> tptp.setminusELneg @t1901)) % 1.52/1.78 (define @t1903 () (=> tptp.setminusERneg @t1902)) % 1.52/1.78 (define @t1904 () (=> tptp.setminusSubset2 @t1903)) % 1.52/1.78 (define @t1905 () (=> tptp.setminusER @t1904)) % 1.52/1.78 (define @t1906 () (=> tptp.setminusEL @t1905)) % 1.52/1.78 (define @t1907 () (=> tptp.setminusI @t1906)) % 1.52/1.78 (define @t1908 () (=> tptp.bs114d @t1907)) % 1.52/1.78 (define @t1909 () (=> tptp.binintersectSubset1 @t1908)) % 1.52/1.78 (define @t1910 () (=> tptp.binintersectSubset4 @t1909)) % 1.52/1.78 (define @t1911 () (=> tptp.binintersectRsub @t1910)) % 1.52/1.78 (define @t1912 () (=> tptp.disjointsetsI1 @t1911)) % 1.52/1.78 (define @t1913 () (=> tptp.binintersectER @t1912)) % 1.52/1.78 (define @t1914 () (=> tptp.binintersectSubset3 @t1913)) % 1.52/1.78 (define @t1915 () (=> tptp.binintersectSubset2 @t1914)) % 1.52/1.78 (define @t1916 () (=> tptp.binintersectLsub @t1915)) % 1.52/1.78 (define @t1917 () (=> tptp.binintersectEL @t1916)) % 1.52/1.78 (define @t1918 () (=> tptp.binintersectSubset5 @t1917)) % 1.52/1.78 (define @t1919 () (=> tptp.binintersectI @t1918)) % 1.52/1.78 (define @t1920 () (=> tptp.binunionRsub @t1919)) % 1.52/1.78 (define @t1921 () (=> tptp.binunionLsub @t1920)) % 1.52/1.78 (define @t1922 () (=> tptp.binunionE @t1921)) % 1.52/1.78 (define @t1923 () (=> tptp.binunionEcases @t1922)) % 1.52/1.78 (define @t1924 () (=> tptp.binunionIR @t1923)) % 1.52/1.78 (define @t1925 () (=> tptp.upairset2IR @t1924)) % 1.52/1.78 (define @t1926 () (=> tptp.binunionIL @t1925)) % 1.52/1.78 (define @t1927 () (=> tptp.sepSubset @t1926)) % 1.52/1.78 (define @t1928 () (=> tptp.sepInPowerset @t1927)) % 1.52/1.78 (define @t1929 () (=> tptp.powersetsubset @t1928)) % 1.52/1.78 (define @t1930 () (=> tptp.inPowerset @t1929)) % 1.52/1.78 (define @t1931 () (=> tptp.powersetE1 @t1930)) % 1.52/1.78 (define @t1932 () (=> tptp.powersetI1 @t1931)) % 1.52/1.78 (define @t1933 () (=> tptp.subsetemptysetimpeq @t1932)) % 1.52/1.78 (define @t1934 () (=> tptp.setextsub @t1933)) % 1.52/1.78 (define @t1935 () (=> tptp.subset2powerset @t1934)) % 1.52/1.78 (define @t1936 () (=> tptp.setadjoinSub2 @t1935)) % 1.52/1.78 (define @t1937 () (=> tptp.setadjoinSub @t1936)) % 1.52/1.78 (define @t1938 () (=> tptp.subsetTrans @t1937)) % 1.52/1.78 (define @t1939 () (=> tptp.subsetRefl @t1938)) % 1.52/1.78 (define @t1940 () (=> tptp.notequalI2 @t1939)) % 1.52/1.78 (define @t1941 () (=> tptp.notequalI1 @t1940)) % 1.52/1.78 (define @t1942 () (=> tptp.notsubsetI @t1941)) % 1.52/1.78 (define @t1943 () (=> tptp.subsetE2 @t1942)) % 1.52/1.78 (define @t1944 () (=> tptp.subsetE @t1943)) % 1.52/1.78 (define @t1945 () (=> tptp.emptysetsubset @t1944)) % 1.52/1.78 (define @t1946 () (=> tptp.subsetI2 @t1945)) % 1.52/1.78 (define @t1947 () (=> tptp.eqimpsubset1 @t1946)) % 1.52/1.78 (define @t1948 () (=> tptp.eqimpsubset2 @t1947)) % 1.52/1.78 (define @t1949 () (=> tptp.subsetI1 @t1948)) % 1.52/1.78 (define @t1950 () (=> tptp.dsetconstr__Cong @t1949)) % 1.52/1.78 (define @t1951 () (=> tptp.descr__Cong @t1950)) % 1.52/1.78 (define @t1952 () (=> tptp.exuEu @t1951)) % 1.52/1.78 (define @t1953 () (=> tptp.omega__Cong @t1952)) % 1.52/1.78 (define @t1954 () (=> tptp.setunion__Cong @t1953)) % 1.52/1.78 (define @t1955 () (=> tptp.powerset__Cong @t1954)) % 1.52/1.78 (define @t1956 () (=> tptp.setadjoin__Cong @t1955)) % 1.52/1.78 (define @t1957 () (=> tptp.emptyset__Cong @t1956)) % 1.52/1.78 (define @t1958 () (=> tptp.exu__Cong @t1957)) % 1.52/1.78 (define @t1959 () (=> tptp.exuE3u @t1958)) % 1.52/1.78 (define @t1960 () (=> tptp.in__Cong @t1959)) % 1.52/1.78 (define @t1961 () (=> tptp.inCongP @t1960)) % 1.52/1.78 (define @t1962 () (=> tptp.exuI2 @t1961)) % 1.52/1.78 (define @t1963 () (=> tptp.exuI3 @t1962)) % 1.52/1.78 (define @t1964 () (=> tptp.exuI1 @t1963)) % 1.52/1.78 (define @t1965 () (=> tptp.notdallE @t1964)) % 1.52/1.78 (define @t1966 () (=> tptp.notdexE @t1965)) % 1.52/1.78 (define @t1967 () (=> tptp.prop2set2propI @t1966)) % 1.52/1.78 (define @t1968 () (=> tptp.prop2setI @t1967)) % 1.52/1.78 (define @t1969 () (=> tptp.quantDeMorgan4 @t1968)) % 1.52/1.78 (define @t1970 () (=> tptp.quantDeMorgan3 @t1969)) % 1.52/1.78 (define @t1971 () (=> tptp.quantDeMorgan2 @t1970)) % 1.52/1.78 (define @t1972 () (=> tptp.quantDeMorgan1 @t1971)) % 1.52/1.78 (define @t1973 () (=> tptp.vacuousDall @t1972)) % 1.52/1.78 (define @t1974 () (=> tptp.emptyE1 @t1973)) % 1.52/1.78 (define @t1975 () (=> tptp.upairsetIR @t1974)) % 1.52/1.78 (define @t1976 () (=> tptp.upairsetIL @t1975)) % 1.52/1.78 (define @t1977 () (=> tptp.upairsetE @t1976)) % 1.52/1.78 (define @t1978 () (=> tptp.singletonsswitch @t1977)) % 1.52/1.78 (define @t1979 () (=> tptp.eqinunit @t1978)) % 1.52/1.78 (define @t1980 () (=> tptp.notinsingleton @t1979)) % 1.52/1.78 (define @t1981 () (=> tptp.uniqinunit @t1980)) % 1.52/1.78 (define @t1982 () (=> tptp.nonemptyImpWitness @t1981)) % 1.52/1.78 (define @t1983 () (=> tptp.exuE2 @t1982)) % 1.52/1.78 (define @t1984 () (=> tptp.subPowSU @t1983)) % 1.52/1.78 (define @t1985 () (=> tptp.setunionE @t1984)) % 1.52/1.78 (define @t1986 () (=> tptp.setunionI @t1985)) % 1.52/1.78 (define @t1987 () (=> tptp.powersetE @t1986)) % 1.52/1.78 (define @t1988 () (=> tptp.emptyInPowerset @t1987)) % 1.52/1.78 (define @t1989 () (=> tptp.emptyinPowerset @t1988)) % 1.52/1.78 (define @t1990 () (=> tptp.powersetI @t1989)) % 1.52/1.78 (define @t1991 () (=> tptp.setoftrueEq @t1990)) % 1.52/1.78 (define @t1992 () (=> tptp.setadjoinOr @t1991)) % 1.52/1.78 (define @t1993 () (=> tptp.setadjoinE @t1992)) % 1.52/1.78 (define @t1994 () (=> tptp.setadjoinIR @t1993)) % 1.52/1.78 (define @t1995 () (=> tptp.emptyinunitempty @t1994)) % 1.52/1.78 (define @t1996 () (=> tptp.setadjoinIL @t1995)) % 1.52/1.78 (define @t1997 () (=> tptp.nonemptyI1 @t1996)) % 1.52/1.78 (define @t1998 () (=> tptp.nonemptyI @t1997)) % 1.52/1.78 (define @t1999 () (=> tptp.nonemptyE1 @t1998)) % 1.52/1.78 (define @t2000 () (=> tptp.setbeta @t1999)) % 1.52/1.78 (define @t2001 () (=> tptp.noeltsimpempty @t2000)) % 1.52/1.78 (define @t2002 () (=> tptp.emptyI @t2001)) % 1.52/1.78 (define @t2003 () (=> tptp.setext @t2002)) % 1.52/1.78 (define @t2004 () (=> tptp.exuE3e @t2003)) % 1.52/1.78 (define @t2005 () (=> tptp.notinemptyset @t2004)) % 1.52/1.78 (define @t2006 () (=> tptp.emptysetimpfalse @t2005)) % 1.52/1.78 (define @t2007 () (=> tptp.emptysetE @t2006)) % 1.52/1.78 (define @t2008 () (=> tptp.prop2setE @t2007)) % 1.52/1.78 (define @t2009 () (=> tptp.exuE1 @t2008)) % 1.52/1.78 (define @t2010 () (=> tptp.dsetconstrER @t2009)) % 1.52/1.78 (define @t2011 () (=> tptp.dsetconstrEL @t2010)) % 1.52/1.78 (define @t2012 () (=> tptp.dsetconstrI @t2011)) % 1.52/1.78 (define @t2013 () (=> tptp.descrp @t2012)) % 1.52/1.78 (define @t2014 () (=> tptp.wellorderingAx @t2013)) % 1.52/1.78 (define @t2015 () (=> tptp.foundationAx @t2014)) % 1.52/1.78 (define @t2016 () (=> tptp.replAx @t2015)) % 1.52/1.78 (define @t2017 () (=> tptp.omegaIndAx @t2016)) % 1.52/1.78 (define @t2018 () (=> tptp.omegaSAx @t2017)) % 1.52/1.78 (define @t2019 () (=> tptp.omega0Ax @t2018)) % 1.52/1.78 (define @t2020 () (=> tptp.setunionAx @t2019)) % 1.52/1.78 (define @t2021 () (=> tptp.powersetAx @t2020)) % 1.52/1.78 (define @t2022 () (=> tptp.setadjoinAx @t2021)) % 1.52/1.78 (define @t2023 () (=> tptp.emptysetAx @t2022)) % 1.52/1.78 (define @t2024 () (=> tptp.setextAx @t2023)) % 1.52/1.78 (define @t2025 () (not @t2024)) % 1.52/1.78 (define @t2026 () (lambda @t150 @t169)) % 1.52/1.78 (define @t2027 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.52/1.78 (define @t2028 () (@var "BOUND_VARIABLE_17643" $$unsorted)) % 1.52/1.78 (define @t2029 () (@var "BOUND_VARIABLE_17647" $$unsorted)) % 1.52/1.78 (define @t2030 () (@var "BOUND_VARIABLE_17645" $$unsorted)) % 1.52/1.78 (define @t2031 () (tptp.kpair @t2030 @t2029)) % 1.52/1.78 (define @t2032 () (tptp.in @t2031 (tptp.binunion @t937 @t2028))) % 1.52/1.78 (define @t2033 () (and (not (tptp.in @t2031 @t937)) (not (tptp.in @t2031 @t2028)))) % 1.52/1.78 (define @t2034 () (not (tptp.in @t2029 @t2))) % 1.52/1.78 (define @t2035 () (not (tptp.in @t2030 @t2))) % 1.52/1.78 (define @t2036 () (not (tptp.breln1 @t2 @t2028))) % 1.52/1.78 (define @t2037 () (tptp.breln1 @t2 @t937)) % 1.52/1.78 (define @t2038 () (not @t2037)) % 1.52/1.78 (define @t2039 () (or @t2038 @t2036 @t2035 @t2034 @t2033 @t2032)) % 1.52/1.78 (define @t2040 () (@list @t2 @t937 @t2028 @t2030 @t2029)) % 1.52/1.78 (define @t2041 () (forall @t2040 @t2039)) % 1.52/1.78 (define @t2042 () (@var "BOUND_VARIABLE_17554" $$unsorted)) % 1.52/1.78 (define @t2043 () (@var "BOUND_VARIABLE_17558" $$unsorted)) % 1.52/1.78 (define @t2044 () (@var "BOUND_VARIABLE_17556" $$unsorted)) % 1.52/1.78 (define @t2045 () (tptp.kpair @t2044 @t2043)) % 1.52/1.78 (define @t2046 () (tptp.in @t2045 (tptp.binunion @t937 @t2042))) % 1.52/1.78 (define @t2047 () (not (tptp.in @t2045 @t2042))) % 1.52/1.78 (define @t2048 () (not (tptp.in @t2043 @t2))) % 1.52/1.78 (define @t2049 () (not (tptp.in @t2044 @t2))) % 1.52/1.78 (define @t2050 () (not (tptp.breln1 @t2 @t2042))) % 1.52/1.78 (define @t2051 () (or @t2038 @t2050 @t2049 @t2048 @t2047 @t2046)) % 1.52/1.78 (define @t2052 () (@list @t2 @t937 @t2042 @t2044 @t2043)) % 1.52/1.78 (define @t2053 () (@var "BOUND_VARIABLE_17474" $$unsorted)) % 1.52/1.78 (define @t2054 () (@var "BOUND_VARIABLE_17478" $$unsorted)) % 1.52/1.78 (define @t2055 () (@var "BOUND_VARIABLE_17476" $$unsorted)) % 1.52/1.78 (define @t2056 () (tptp.kpair @t2055 @t2054)) % 1.52/1.78 (define @t2057 () (tptp.in @t2056 (tptp.binunion @t937 @t2053))) % 1.52/1.78 (define @t2058 () (not (tptp.in @t2056 @t937))) % 1.52/1.78 (define @t2059 () (not (tptp.in @t2054 @t2))) % 1.52/1.78 (define @t2060 () (not (tptp.in @t2055 @t2))) % 1.52/1.78 (define @t2061 () (not (tptp.breln1 @t2 @t2053))) % 1.52/1.78 (define @t2062 () (or @t2038 @t2061 @t2060 @t2059 @t2058 @t2057)) % 1.52/1.78 (define @t2063 () (@list @t2 @t937 @t2053 @t2055 @t2054)) % 1.52/1.78 (define @t2064 () (@var "BOUND_VARIABLE_17403" $$unsorted)) % 1.52/1.78 (define @t2065 () (tptp.breln1 @t2 (tptp.binunion @t937 @t2064))) % 1.52/1.78 (define @t2066 () (not (tptp.breln1 @t2 @t2064))) % 1.52/1.78 (define @t2067 () (or @t2038 @t2066 @t2065)) % 1.52/1.78 (define @t2068 () (@list @t2 @t937 @t2064)) % 1.52/1.78 (define @t2069 () (@var "BOUND_VARIABLE_17340" $$unsorted)) % 1.52/1.78 (define @t2070 () (@var "BOUND_VARIABLE_17344" $$unsorted)) % 1.52/1.78 (define @t2071 () (@var "BOUND_VARIABLE_17342" $$unsorted)) % 1.52/1.78 (define @t2072 () (tptp.in @t289 @t2)) % 1.52/1.78 (define @t2073 () (not @t2072)) % 1.52/1.78 (define @t2074 () (not (forall @t1067 (or @t2073 (not (tptp.in (tptp.kpair @t2071 @t289) @t937)) (not (tptp.in (tptp.kpair @t289 @t2070) @t2069)))))) % 1.52/1.78 (define @t2075 () (not (tptp.in (tptp.kpair @t2071 @t2070) (tptp.breln1compset @t2 @t937 @t2069)))) % 1.52/1.78 (define @t2076 () (not (tptp.in @t2070 @t2))) % 1.52/1.78 (define @t2077 () (not (tptp.in @t2071 @t2))) % 1.52/1.78 (define @t2078 () (not (tptp.breln1 @t2 @t2069))) % 1.52/1.78 (define @t2079 () (or @t2038 @t2078 @t2077 @t2076 @t2075 @t2074)) % 1.52/1.78 (define @t2080 () (@list @t2 @t937 @t2069 @t2071 @t2070)) % 1.52/1.78 (define @t2081 () (forall @t2080 @t2079)) % 1.52/1.78 (define @t2082 () (@var "BOUND_VARIABLE_17230" $$unsorted)) % 1.52/1.78 (define @t2083 () (@var "BOUND_VARIABLE_17234" $$unsorted)) % 1.52/1.78 (define @t2084 () (@var "BOUND_VARIABLE_17236" $$unsorted)) % 1.52/1.78 (define @t2085 () (not (tptp.in (tptp.kpair @t2084 @t2083) @t2082))) % 1.52/1.78 (define @t2086 () (@var "BOUND_VARIABLE_17232" $$unsorted)) % 1.52/1.78 (define @t2087 () (not (tptp.in (tptp.kpair @t2086 @t2084) @t937))) % 1.52/1.78 (define @t2088 () (not (tptp.in @t2084 @t2))) % 1.52/1.78 (define @t2089 () (tptp.in (tptp.kpair @t2086 @t2083) (tptp.breln1compset @t2 @t937 @t2082))) % 1.52/1.78 (define @t2090 () (not (tptp.in @t2083 @t2))) % 1.52/1.78 (define @t2091 () (not (tptp.in @t2086 @t2))) % 1.52/1.78 (define @t2092 () (not (tptp.breln1 @t2 @t2082))) % 1.52/1.78 (define @t2093 () (or @t2038 @t2092 @t2091 @t2090 @t2089 @t2088 @t2087 @t2085)) % 1.52/1.78 (define @t2094 () (@list @t2 @t937 @t2082 @t2086 @t2083 @t2084)) % 1.52/1.78 (define @t2095 () (@var "BOUND_VARIABLE_17101" $$unsorted)) % 1.52/1.78 (define @t2096 () (tptp.breln1 @t2 (tptp.breln1compset @t2 @t937 @t2095))) % 1.52/1.78 (define @t2097 () (not (tptp.breln1 @t2 @t2095))) % 1.52/1.78 (define @t2098 () (or @t2038 @t2097 @t2096)) % 1.52/1.78 (define @t2099 () (@list @t2 @t937 @t2095)) % 1.52/1.78 (define @t2100 () (@var "BOUND_VARIABLE_17069" $$unsorted)) % 1.52/1.78 (define @t2101 () (@var "BOUND_VARIABLE_17067" $$unsorted)) % 1.52/1.78 (define @t2102 () (tptp.in (tptp.kpair @t2101 @t2100) @t937)) % 1.52/1.78 (define @t2103 () (tptp.breln1invset @t2 @t937)) % 1.52/1.78 (define @t2104 () (not (tptp.in (tptp.kpair @t2100 @t2101) @t2103))) % 1.52/1.78 (define @t2105 () (not (tptp.in @t2100 @t2))) % 1.52/1.78 (define @t2106 () (not (tptp.in @t2101 @t2))) % 1.52/1.78 (define @t2107 () (or @t2038 @t2106 @t2105 @t2104 @t2102)) % 1.52/1.78 (define @t2108 () (@list @t2 @t937 @t2101 @t2100)) % 1.52/1.78 (define @t2109 () (@var "BOUND_VARIABLE_17012" $$unsorted)) % 1.52/1.78 (define @t2110 () (@var "BOUND_VARIABLE_17014" $$unsorted)) % 1.52/1.78 (define @t2111 () (tptp.in (tptp.kpair @t2110 @t2109) @t2103)) % 1.52/1.78 (define @t2112 () (not (tptp.in (tptp.kpair @t2109 @t2110) @t937))) % 1.52/1.78 (define @t2113 () (not (tptp.in @t2110 @t2))) % 1.52/1.78 (define @t2114 () (not (tptp.in @t2109 @t2))) % 1.52/1.78 (define @t2115 () (or @t2038 @t2114 @t2113 @t2112 @t2111)) % 1.52/1.78 (define @t2116 () (@list @t2 @t937 @t2109 @t2110)) % 1.52/1.78 (define @t2117 () (tptp.breln1 @t2 @t2103)) % 1.52/1.78 (define @t2118 () (@var "BOUND_VARIABLE_16945" $$unsorted)) % 1.52/1.78 (define @t2119 () (= @t937 @t2118)) % 1.52/1.78 (define @t2120 () (@var "BOUND_VARIABLE_16914" $$unsorted)) % 1.52/1.78 (define @t2121 () (tptp.kpair @t4 @t2120)) % 1.52/1.78 (define @t2122 () (tptp.in @t2121 @t937)) % 1.52/1.78 (define @t2123 () (not (tptp.in @t2120 @t2))) % 1.52/1.78 (define @t2124 () (tptp.in @t4 @t2)) % 1.52/1.78 (define @t2125 () (not @t2124)) % 1.52/1.78 (define @t2126 () (@list @t4 @t2120)) % 1.52/1.78 (define @t2127 () (not (forall @t2126 (or @t2125 @t2123 (not (tptp.in @t2121 @t2118)) @t2122)))) % 1.52/1.78 (define @t2128 () (@var "BOUND_VARIABLE_16855" $$unsorted)) % 1.52/1.78 (define @t2129 () (tptp.kpair @t4 @t2128)) % 1.52/1.78 (define @t2130 () (not (tptp.in @t2129 @t937))) % 1.52/1.78 (define @t2131 () (not (tptp.in @t2128 @t2))) % 1.52/1.78 (define @t2132 () (@list @t4 @t2128)) % 1.52/1.78 (define @t2133 () (not (forall @t2132 (or @t2125 @t2131 @t2130 (tptp.in @t2129 @t2118))))) % 1.52/1.78 (define @t2134 () (not (tptp.breln1 @t2 @t2118))) % 1.52/1.78 (define @t2135 () (or @t2038 @t2134 @t2133 @t2127 @t2119)) % 1.52/1.78 (define @t2136 () (@list @t2 @t937 @t2118)) % 1.52/1.78 (define @t2137 () (@var "BOUND_VARIABLE_16887" $$unsorted)) % 1.52/1.78 (define @t2138 () (tptp.subset @t937 @t2137)) % 1.52/1.78 (define @t2139 () (not (forall @t2132 (or @t2125 @t2131 @t2130 (tptp.in @t2129 @t2137))))) % 1.52/1.78 (define @t2140 () (not (tptp.breln1 @t2 @t2137))) % 1.52/1.78 (define @t2141 () (or @t2038 @t2140 @t2139 @t2138)) % 1.52/1.78 (define @t2142 () (@list @t2 @t937 @t2137)) % 1.52/1.78 (define @t2143 () (@var "BOUND_VARIABLE_16690" $$unsorted)) % 1.52/1.78 (define @t2144 () (@var "BOUND_VARIABLE_16688" (-> $$unsorted Bool))) % 1.52/1.78 (define @t2145 () (_ @t2144 @t2143)) % 1.52/1.78 (define @t2146 () (not (tptp.in @t2143 @t937))) % 1.52/1.78 (define @t2147 () (@var "BOUND_VARIABLE_16649" $$unsorted)) % 1.52/1.78 (define @t2148 () (tptp.kpair @t4 @t2147)) % 1.52/1.78 (define @t2149 () (not (tptp.in @t2148 @t937))) % 1.52/1.78 (define @t2150 () (not (tptp.in @t2147 @t2))) % 1.52/1.78 (define @t2151 () (@list @t4 @t2147)) % 1.52/1.78 (define @t2152 () (not (forall @t2151 (or @t2125 @t2150 @t2149 (_ @t2144 @t2148))))) % 1.52/1.78 (define @t2153 () (or @t2038 @t2152 @t2146 @t2145)) % 1.52/1.78 (define @t2154 () (@list @t2 @t937 @t2144 @t2143)) % 1.52/1.78 (define @t2155 () (forall @t2154 @t2153)) % 1.52/1.78 (define @t2156 () (@var "BOUND_VARIABLE_16803" $$unsorted)) % 1.52/1.78 (define @t2157 () (tptp.kpair @t19 @t289)) % 1.52/1.78 (define @t2158 () (@var "BOUND_VARIABLE_16805" $$unsorted)) % 1.52/1.78 (define @t2159 () (tptp.in @t289 @t1)) % 1.52/1.78 (define @t2160 () (not @t2159)) % 1.52/1.78 (define @t2161 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (and (_ @t67 @t2158 @t19) (forall @t1067 (or @t2160 (not (_ @t67 @t2158 @t289)) (tptp.in @t2157 @t2156)))))))) % 1.52/1.78 (define @t2162 () (not (tptp.in @t2158 @t2))) % 1.52/1.78 (define @t2163 () (not (tptp.reflwellordering @t1 @t2156))) % 1.52/1.78 (define @t2164 () (tptp.breln1Set @t1)) % 1.52/1.78 (define @t2165 () (not (tptp.in @t2156 @t2164))) % 1.52/1.78 (define @t2166 () (_ @t67 @t4 @t19)) % 1.52/1.78 (define @t2167 () (not @t2166)) % 1.52/1.78 (define @t2168 () (tptp.in @t19 @t1)) % 1.52/1.78 (define @t2169 () (not @t2168)) % 1.52/1.78 (define @t2170 () (not (forall @t70 (or @t2169 @t2167)))) % 1.52/1.78 (define @t2171 () (forall @t9 (or @t2125 @t2170))) % 1.52/1.78 (define @t2172 () (not @t2171)) % 1.52/1.78 (define @t2173 () (or @t2172 @t2165 @t2163 @t2162 @t2161)) % 1.52/1.78 (define @t2174 () (@list @t2 @t1 @t67 @t2156 @t2158)) % 1.52/1.78 (define @t2175 () (tptp.breln1Set @t2)) % 1.52/1.78 (define @t2176 () (tptp.in @t937 @t2175)) % 1.52/1.78 (define @t2177 () (tptp.setminus @t2 @t695)) % 1.52/1.78 (define @t2178 () (tptp.powerset @t2177)) % 1.52/1.78 (define @t2179 () (@var "BOUND_VARIABLE_15790" $$unsorted)) % 1.52/1.78 (define @t2180 () (tptp.in (tptp.setminus @t2 (tptp.binunion @t695 @t2179)) @t2178)) % 1.52/1.78 (define @t2181 () (tptp.powerset @t2)) % 1.52/1.78 (define @t2182 () (not (tptp.in @t2179 @t2181))) % 1.52/1.78 (define @t2183 () (tptp.in @t695 @t2181)) % 1.52/1.78 (define @t2184 () (not @t2183)) % 1.52/1.78 (define @t2185 () (or @t2184 @t2182 @t2180)) % 1.52/1.78 (define @t2186 () (@list @t2 @t695 @t2179)) % 1.52/1.78 (define @t2187 () (forall @t2186 @t2185)) % 1.52/1.78 (define @t2188 () (@var "BOUND_VARIABLE_15107" $$unsorted)) % 1.52/1.78 (define @t2189 () (tptp.subset @t2188 @t2177)) % 1.52/1.78 (define @t2190 () (not (tptp.subset @t695 (tptp.setminus @t2 @t2188)))) % 1.52/1.78 (define @t2191 () (not (tptp.in @t2188 @t2181))) % 1.52/1.78 (define @t2192 () (or @t2184 @t2191 @t2190 @t2189)) % 1.52/1.78 (define @t2193 () (@list @t2 @t695 @t2188)) % 1.52/1.78 (define @t2194 () (forall @t2193 @t2192)) % 1.52/1.78 (define @t2195 () (@var "BOUND_VARIABLE_15518" $$unsorted)) % 1.52/1.78 (define @t2196 () (@var "BOUND_VARIABLE_15516" $$unsorted)) % 1.52/1.78 (define @t2197 () (tptp.in (tptp.binintersect @t695 @t2196) (tptp.powerset (tptp.binintersect (tptp.binunion @t695 @t2195) (tptp.binunion @t2196 @t2195))))) % 1.52/1.78 (define @t2198 () (not (tptp.in @t2195 @t2181))) % 1.52/1.78 (define @t2199 () (not (tptp.in @t2196 @t2181))) % 1.52/1.78 (define @t2200 () (or @t2184 @t2199 @t2198 @t2197)) % 1.52/1.78 (define @t2201 () (@list @t2 @t695 @t2196 @t2195)) % 1.52/1.78 (define @t2202 () (forall @t2201 @t2200)) % 1.52/1.78 (define @t2203 () (@var "BOUND_VARIABLE_16600" $$unsorted)) % 1.52/1.78 (define @t2204 () (@var "BOUND_VARIABLE_16598" $$unsorted)) % 1.52/1.78 (define @t2205 () (@var "BOUND_VARIABLE_16596" $$unsorted)) % 1.52/1.78 (define @t2206 () (= (tptp.setminus @t2 (tptp.binintersect (tptp.binunion @t695 @t2205) (tptp.binunion @t2204 @t2203))) (tptp.binunion (tptp.binintersect @t2177 (tptp.setminus @t2 @t2205)) (tptp.binintersect (tptp.setminus @t2 @t2204) (tptp.setminus @t2 @t2203))))) % 1.52/1.78 (define @t2207 () (not (tptp.in @t2203 @t2181))) % 1.52/1.78 (define @t2208 () (not (tptp.in @t2204 @t2181))) % 1.52/1.78 (define @t2209 () (not (tptp.in @t2205 @t2181))) % 1.52/1.78 (define @t2210 () (or @t2184 @t2209 @t2208 @t2207 @t2206)) % 1.52/1.78 (define @t2211 () (@list @t2 @t695 @t2205 @t2204 @t2203)) % 1.52/1.78 (define @t2212 () (@var "BOUND_VARIABLE_15024" $$unsorted)) % 1.52/1.78 (define @t2213 () (tptp.in @t2177 (tptp.powerset (tptp.setminus @t2 (tptp.binintersect @t695 @t2212))))) % 1.52/1.78 (define @t2214 () (not (tptp.in @t2212 @t2181))) % 1.52/1.78 (define @t2215 () (or @t2184 @t2214 @t2213)) % 1.52/1.78 (define @t2216 () (@list @t2 @t695 @t2212)) % 1.52/1.78 (define @t2217 () (forall @t2216 @t2215)) % 1.52/1.78 (define @t2218 () (@var "BOUND_VARIABLE_16493" $$unsorted)) % 1.52/1.78 (define @t2219 () (@var "BOUND_VARIABLE_16491" $$unsorted)) % 1.52/1.78 (define @t2220 () (@var "BOUND_VARIABLE_16489" $$unsorted)) % 1.52/1.78 (define @t2221 () (tptp.subset (tptp.binintersect @t695 @t2220) (tptp.binintersect @t2219 @t2218))) % 1.52/1.78 (define @t2222 () (not (tptp.subset @t2220 @t2218))) % 1.52/1.78 (define @t2223 () (not (tptp.in @t2218 @t2181))) % 1.52/1.78 (define @t2224 () (not (tptp.subset @t695 @t2219))) % 1.52/1.78 (define @t2225 () (not (tptp.in @t2219 @t2181))) % 1.52/1.78 (define @t2226 () (not (tptp.in @t2220 @t2181))) % 1.52/1.78 (define @t2227 () (or @t2184 @t2226 @t2225 @t2224 @t2223 @t2222 @t2221)) % 1.52/1.78 (define @t2228 () (@list @t2 @t695 @t2220 @t2219 @t2218)) % 1.52/1.78 (define @t2229 () (@var "BOUND_VARIABLE_16397" $$unsorted)) % 1.52/1.78 (define @t2230 () (@var "BOUND_VARIABLE_16395" $$unsorted)) % 1.52/1.78 (define @t2231 () (tptp.subset @t695 (tptp.binintersect @t2230 @t2229))) % 1.52/1.78 (define @t2232 () (not (tptp.subset @t695 @t2229))) % 1.52/1.78 (define @t2233 () (not (tptp.in @t2229 @t2181))) % 1.52/1.78 (define @t2234 () (not (tptp.subset @t695 @t2230))) % 1.52/1.78 (define @t2235 () (not (tptp.in @t2230 @t2181))) % 1.52/1.78 (define @t2236 () (or @t2184 @t2235 @t2234 @t2233 @t2232 @t2231)) % 1.52/1.78 (define @t2237 () (@list @t2 @t695 @t2230 @t2229)) % 1.52/1.78 (define @t2238 () (@var "BOUND_VARIABLE_16338" $$unsorted)) % 1.52/1.78 (define @t2239 () (@var "BOUND_VARIABLE_16336" $$unsorted)) % 1.52/1.78 (define @t2240 () (tptp.subset (tptp.binintersect @t695 @t2239) @t2238)) % 1.52/1.78 (define @t2241 () (not (tptp.subset @t2239 @t2238))) % 1.52/1.78 (define @t2242 () (not (tptp.in @t2238 @t2181))) % 1.52/1.78 (define @t2243 () (not (tptp.in @t2239 @t2181))) % 1.52/1.78 (define @t2244 () (or @t2184 @t2243 @t2242 @t2241 @t2240)) % 1.52/1.78 (define @t2245 () (@list @t2 @t695 @t2239 @t2238)) % 1.52/1.78 (define @t2246 () (@var "BOUND_VARIABLE_16285" $$unsorted)) % 1.52/1.78 (define @t2247 () (@var "BOUND_VARIABLE_16283" $$unsorted)) % 1.52/1.78 (define @t2248 () (tptp.subset (tptp.binintersect @t695 @t2247) @t2246)) % 1.52/1.78 (define @t2249 () (not (tptp.subset @t695 @t2246))) % 1.52/1.78 (define @t2250 () (not (tptp.in @t2246 @t2181))) % 1.52/1.78 (define @t2251 () (not (tptp.in @t2247 @t2181))) % 1.52/1.78 (define @t2252 () (or @t2184 @t2251 @t2250 @t2249 @t2248)) % 1.52/1.78 (define @t2253 () (@list @t2 @t695 @t2247 @t2246)) % 1.52/1.78 (define @t2254 () (@var "BOUND_VARIABLE_16231" $$unsorted)) % 1.52/1.78 (define @t2255 () (tptp.in @t2254 @t2)) % 1.52/1.78 (define @t2256 () (@var "BOUND_VARIABLE_16229" $$unsorted)) % 1.52/1.78 (define @t2257 () (not (tptp.in @t2254 (tptp.binintersect @t695 @t2256)))) % 1.52/1.78 (define @t2258 () (not (tptp.in @t2256 @t2181))) % 1.52/1.78 (define @t2259 () (or @t2184 @t2258 @t2257 @t2255)) % 1.52/1.78 (define @t2260 () (@list @t2 @t695 @t2256 @t2254)) % 1.52/1.78 (define @t2261 () (@var "BOUND_VARIABLE_16185" $$unsorted)) % 1.52/1.78 (define @t2262 () (= (tptp.setminus @t2 (tptp.binunion @t695 @t2261)) (tptp.binintersect @t2177 (tptp.setminus @t2 @t2261)))) % 1.52/1.78 (define @t2263 () (not (tptp.in @t2261 @t2181))) % 1.52/1.78 (define @t2264 () (or @t2184 @t2263 @t2262)) % 1.52/1.78 (define @t2265 () (@list @t2 @t695 @t2261)) % 1.52/1.78 (define @t2266 () (@var "BOUND_VARIABLE_16151" $$unsorted)) % 1.52/1.78 (define @t2267 () (@var "BOUND_VARIABLE_16153" $$unsorted)) % 1.52/1.78 (define @t2268 () (tptp.in @t2267 (tptp.setminus @t2 (tptp.binunion @t695 @t2266)))) % 1.52/1.78 (define @t2269 () (not (tptp.in @t2267 (tptp.binintersect @t2177 (tptp.setminus @t2 @t2266))))) % 1.52/1.78 (define @t2270 () (not (tptp.in @t2267 @t2))) % 1.52/1.78 (define @t2271 () (not (tptp.in @t2266 @t2181))) % 1.52/1.78 (define @t2272 () (or @t2184 @t2271 @t2270 @t2269 @t2268)) % 1.52/1.78 (define @t2273 () (@list @t2 @t695 @t2266 @t2267)) % 1.52/1.78 (define @t2274 () (@var "BOUND_VARIABLE_16095" $$unsorted)) % 1.52/1.78 (define @t2275 () (@var "BOUND_VARIABLE_16097" $$unsorted)) % 1.52/1.78 (define @t2276 () (tptp.in @t2275 (tptp.setminus @t2 (tptp.binunion @t695 @t2274)))) % 1.52/1.78 (define @t2277 () (not (tptp.in @t2275 (tptp.setminus @t2 @t2274)))) % 1.52/1.78 (define @t2278 () (not (tptp.in @t2275 @t2177))) % 1.52/1.78 (define @t2279 () (not (tptp.in @t2275 @t2))) % 1.52/1.78 (define @t2280 () (not (tptp.in @t2274 @t2181))) % 1.52/1.78 (define @t2281 () (or @t2184 @t2280 @t2279 @t2278 @t2277 @t2276)) % 1.52/1.78 (define @t2282 () (@list @t2 @t695 @t2274 @t2275)) % 1.52/1.78 (define @t2283 () (@var "BOUND_VARIABLE_16037" $$unsorted)) % 1.52/1.78 (define @t2284 () (@var "BOUND_VARIABLE_16039" $$unsorted)) % 1.52/1.78 (define @t2285 () (tptp.in @t2284 (tptp.binintersect @t2177 (tptp.setminus @t2 @t2283)))) % 1.52/1.78 (define @t2286 () (not (tptp.in @t2284 (tptp.setminus @t2 (tptp.binunion @t695 @t2283))))) % 1.52/1.78 (define @t2287 () (not (tptp.in @t2284 @t2))) % 1.52/1.78 (define @t2288 () (not (tptp.in @t2283 @t2181))) % 1.52/1.78 (define @t2289 () (or @t2184 @t2288 @t2287 @t2286 @t2285)) % 1.52/1.78 (define @t2290 () (@list @t2 @t695 @t2283 @t2284)) % 1.52/1.78 (define @t2291 () (@var "BOUND_VARIABLE_15985" $$unsorted)) % 1.52/1.78 (define @t2292 () (= (tptp.setminus @t2 (tptp.binintersect @t695 @t2291)) (tptp.binunion @t2177 (tptp.setminus @t2 @t2291)))) % 1.52/1.78 (define @t2293 () (not (tptp.in @t2291 @t2181))) % 1.52/1.78 (define @t2294 () (or @t2184 @t2293 @t2292)) % 1.52/1.78 (define @t2295 () (@list @t2 @t695 @t2291)) % 1.52/1.78 (define @t2296 () (@var "BOUND_VARIABLE_15951" $$unsorted)) % 1.52/1.78 (define @t2297 () (@var "BOUND_VARIABLE_15953" $$unsorted)) % 1.52/1.78 (define @t2298 () (tptp.in @t2297 (tptp.setminus @t2 (tptp.binintersect @t695 @t2296)))) % 1.52/1.78 (define @t2299 () (not (tptp.in @t2297 (tptp.binunion @t2177 (tptp.setminus @t2 @t2296))))) % 1.52/1.78 (define @t2300 () (not (tptp.in @t2297 @t2))) % 1.52/1.78 (define @t2301 () (not (tptp.in @t2296 @t2181))) % 1.52/1.78 (define @t2302 () (or @t2184 @t2301 @t2300 @t2299 @t2298)) % 1.52/1.78 (define @t2303 () (@list @t2 @t695 @t2296 @t2297)) % 1.52/1.78 (define @t2304 () (@var "BOUND_VARIABLE_15896" $$unsorted)) % 1.52/1.78 (define @t2305 () (@var "BOUND_VARIABLE_15898" $$unsorted)) % 1.52/1.78 (define @t2306 () (tptp.in @t2305 (tptp.binunion @t2177 (tptp.setminus @t2 @t2304)))) % 1.52/1.78 (define @t2307 () (not (tptp.in @t2305 (tptp.setminus @t2 (tptp.binintersect @t695 @t2304))))) % 1.52/1.78 (define @t2308 () (not (tptp.in @t2305 @t2))) % 1.52/1.78 (define @t2309 () (not (tptp.in @t2304 @t2181))) % 1.52/1.78 (define @t2310 () (or @t2184 @t2309 @t2308 @t2307 @t2306)) % 1.52/1.78 (define @t2311 () (@list @t2 @t695 @t2304 @t2305)) % 1.52/1.78 (define @t2312 () (@var "BOUND_VARIABLE_15837" $$unsorted)) % 1.52/1.78 (define @t2313 () (@var "BOUND_VARIABLE_15839" $$unsorted)) % 1.52/1.78 (define @t2314 () (tptp.in @t2313 (tptp.setminus @t2 @t2312))) % 1.52/1.78 (define @t2315 () (not (tptp.in @t2313 (tptp.setminus @t2 (tptp.binunion @t695 @t2312))))) % 1.52/1.78 (define @t2316 () (not (tptp.in @t2313 @t2))) % 1.52/1.78 (define @t2317 () (not (tptp.in @t2312 @t2181))) % 1.52/1.78 (define @t2318 () (or @t2184 @t2317 @t2316 @t2315 @t2314)) % 1.52/1.78 (define @t2319 () (@list @t2 @t695 @t2312 @t2313)) % 1.52/1.78 (define @t2320 () (@var "BOUND_VARIABLE_15629" $$unsorted)) % 1.52/1.78 (define @t2321 () (tptp.in @t2320 @t2177)) % 1.52/1.78 (define @t2322 () (@var "BOUND_VARIABLE_15627" $$unsorted)) % 1.52/1.78 (define @t2323 () (not (tptp.in @t2320 (tptp.setminus @t2 (tptp.binunion @t695 @t2322))))) % 1.52/1.78 (define @t2324 () (not (tptp.in @t2320 @t2))) % 1.52/1.78 (define @t2325 () (not (tptp.in @t2322 @t2181))) % 1.52/1.78 (define @t2326 () (or @t2184 @t2325 @t2324 @t2323 @t2321)) % 1.52/1.78 (define @t2327 () (@list @t2 @t695 @t2322 @t2320)) % 1.52/1.78 (define @t2328 () (forall @t2327 @t2326)) % 1.52/1.78 (define @t2329 () (@var "BOUND_VARIABLE_15750" $$unsorted)) % 1.52/1.78 (define @t2330 () (@var "BOUND_VARIABLE_15752" $$unsorted)) % 1.52/1.78 (define @t2331 () (not (tptp.in @t2330 (tptp.binunion @t695 @t2329)))) % 1.52/1.78 (define @t2332 () (tptp.in @t2330 @t2329)) % 1.52/1.78 (define @t2333 () (tptp.in @t2330 @t695)) % 1.52/1.78 (define @t2334 () (not (tptp.in @t2330 @t2))) % 1.52/1.78 (define @t2335 () (not (tptp.in @t2329 @t2181))) % 1.52/1.78 (define @t2336 () (or @t2184 @t2335 @t2334 @t2333 @t2332 @t2331)) % 1.52/1.78 (define @t2337 () (@list @t2 @t695 @t2329 @t2330)) % 1.52/1.78 (define @t2338 () (@var "BOUND_VARIABLE_15697" $$unsorted)) % 1.52/1.78 (define @t2339 () (@var "BOUND_VARIABLE_15699" $$unsorted)) % 1.52/1.78 (define @t2340 () (tptp.in @t2339 @t2338)) % 1.52/1.78 (define @t2341 () (tptp.in @t2339 @t695)) % 1.52/1.78 (define @t2342 () (not (tptp.in @t2339 (tptp.binunion @t695 @t2338)))) % 1.52/1.78 (define @t2343 () (not (tptp.in @t2339 @t2))) % 1.52/1.78 (define @t2344 () (not (tptp.in @t2338 @t2181))) % 1.52/1.78 (define @t2345 () (or @t2184 @t2344 @t2343 @t2342 @t2341 @t2340)) % 1.52/1.78 (define @t2346 () (@list @t2 @t695 @t2338 @t2339)) % 1.52/1.78 (define @t2347 () (@var "BOUND_VARIABLE_15577" $$unsorted)) % 1.52/1.78 (define @t2348 () (not (tptp.in @t2347 @t695))) % 1.52/1.78 (define @t2349 () (@var "BOUND_VARIABLE_15575" $$unsorted)) % 1.52/1.78 (define @t2350 () (not (tptp.in @t2347 (tptp.setminus @t2 (tptp.binunion @t695 @t2349))))) % 1.52/1.78 (define @t2351 () (not (tptp.in @t2347 @t2))) % 1.52/1.78 (define @t2352 () (not (tptp.in @t2349 @t2181))) % 1.52/1.78 (define @t2353 () (or @t2184 @t2352 @t2351 @t2350 @t2348)) % 1.52/1.78 (define @t2354 () (@list @t2 @t695 @t2349 @t2347)) % 1.52/1.78 (define @t2355 () (@var "BOUND_VARIABLE_15456" $$unsorted)) % 1.52/1.78 (define @t2356 () (@var "BOUND_VARIABLE_15454" $$unsorted)) % 1.52/1.78 (define @t2357 () (@var "BOUND_VARIABLE_15458" $$unsorted)) % 1.52/1.78 (define @t2358 () (tptp.in @t2357 (tptp.binintersect (tptp.binunion @t695 @t2355) (tptp.binunion @t2356 @t2355)))) % 1.52/1.78 (define @t2359 () (not (tptp.in @t2357 (tptp.binintersect @t695 @t2356)))) % 1.52/1.78 (define @t2360 () (not (tptp.in @t2357 @t2))) % 1.52/1.78 (define @t2361 () (not (tptp.in @t2355 @t2181))) % 1.52/1.78 (define @t2362 () (not (tptp.in @t2356 @t2181))) % 1.52/1.78 (define @t2363 () (or @t2184 @t2362 @t2361 @t2360 @t2359 @t2358)) % 1.52/1.78 (define @t2364 () (@list @t2 @t695 @t2356 @t2355 @t2357)) % 1.52/1.78 (define @t2365 () (@var "BOUND_VARIABLE_15370" $$unsorted)) % 1.52/1.78 (define @t2366 () (@var "BOUND_VARIABLE_15368" $$unsorted)) % 1.52/1.78 (define @t2367 () (@var "BOUND_VARIABLE_15372" $$unsorted)) % 1.52/1.78 (define @t2368 () (tptp.in @t2367 (tptp.binunion @t2366 @t2365))) % 1.52/1.78 (define @t2369 () (not (tptp.in @t2367 (tptp.binintersect @t695 @t2366)))) % 1.52/1.78 (define @t2370 () (not (tptp.in @t2367 @t2))) % 1.52/1.78 (define @t2371 () (not (tptp.in @t2365 @t2181))) % 1.52/1.78 (define @t2372 () (not (tptp.in @t2366 @t2181))) % 1.52/1.78 (define @t2373 () (or @t2184 @t2372 @t2371 @t2370 @t2369 @t2368)) % 1.52/1.78 (define @t2374 () (@list @t2 @t695 @t2366 @t2365 @t2367)) % 1.52/1.78 (define @t2375 () (@var "BOUND_VARIABLE_15288" $$unsorted)) % 1.52/1.78 (define @t2376 () (@var "BOUND_VARIABLE_15290" $$unsorted)) % 1.52/1.78 (define @t2377 () (tptp.in @t2376 (tptp.binunion @t695 @t2375))) % 1.52/1.78 (define @t2378 () (@var "BOUND_VARIABLE_15286" $$unsorted)) % 1.52/1.78 (define @t2379 () (not (tptp.in @t2376 (tptp.binintersect @t695 @t2378)))) % 1.52/1.78 (define @t2380 () (not (tptp.in @t2376 @t2))) % 1.52/1.78 (define @t2381 () (not (tptp.in @t2375 @t2181))) % 1.52/1.78 (define @t2382 () (not (tptp.in @t2378 @t2181))) % 1.52/1.78 (define @t2383 () (or @t2184 @t2382 @t2381 @t2380 @t2379 @t2377)) % 1.52/1.78 (define @t2384 () (@list @t2 @t695 @t2378 @t2375 @t2376)) % 1.52/1.78 (define @t2385 () (@var "BOUND_VARIABLE_15205" $$unsorted)) % 1.52/1.78 (define @t2386 () (@var "BOUND_VARIABLE_15207" $$unsorted)) % 1.52/1.78 (define @t2387 () (not (tptp.in @t2386 @t2385))) % 1.52/1.78 (define @t2388 () (tptp.in @t2386 (tptp.binunion @t695 @t2385))) % 1.52/1.78 (define @t2389 () (not (tptp.in @t2386 @t2))) % 1.52/1.78 (define @t2390 () (not (tptp.in @t2385 @t2181))) % 1.52/1.78 (define @t2391 () (or @t2184 @t2390 @t2389 @t2388 @t2387)) % 1.52/1.78 (define @t2392 () (@list @t2 @t695 @t2385 @t2386)) % 1.52/1.78 (define @t2393 () (@var "BOUND_VARIABLE_15157" $$unsorted)) % 1.52/1.78 (define @t2394 () (not (tptp.in @t2393 @t695))) % 1.52/1.78 (define @t2395 () (@var "BOUND_VARIABLE_15155" $$unsorted)) % 1.52/1.78 (define @t2396 () (tptp.in @t2393 (tptp.binunion @t695 @t2395))) % 1.52/1.78 (define @t2397 () (not (tptp.in @t2393 @t2))) % 1.52/1.78 (define @t2398 () (not (tptp.in @t2395 @t2181))) % 1.52/1.78 (define @t2399 () (or @t2184 @t2398 @t2397 @t2396 @t2394)) % 1.52/1.78 (define @t2400 () (@list @t2 @t695 @t2395 @t2393)) % 1.52/1.78 (define @t2401 () (@var "BOUND_VARIABLE_15074" $$unsorted)) % 1.52/1.78 (define @t2402 () (tptp.in @t2401 @t2177)) % 1.52/1.78 (define @t2403 () (@var "BOUND_VARIABLE_15072" $$unsorted)) % 1.52/1.78 (define @t2404 () (not (tptp.in @t2401 @t2403))) % 1.52/1.78 (define @t2405 () (not (tptp.in @t2401 @t2))) % 1.52/1.78 (define @t2406 () (not (tptp.subset @t695 (tptp.setminus @t2 @t2403)))) % 1.52/1.78 (define @t2407 () (not (tptp.in @t2403 @t2181))) % 1.52/1.78 (define @t2408 () (or @t2184 @t2407 @t2406 @t2405 @t2404 @t2402)) % 1.52/1.78 (define @t2409 () (@list @t2 @t695 @t2403 @t2401)) % 1.52/1.78 (define @t2410 () (@var "BOUND_VARIABLE_14995" $$unsorted)) % 1.52/1.78 (define @t2411 () (tptp.subset @t2177 (tptp.setminus @t2 (tptp.binintersect @t695 @t2410)))) % 1.52/1.78 (define @t2412 () (not (tptp.in @t2410 @t2181))) % 1.52/1.78 (define @t2413 () (or @t2184 @t2412 @t2411)) % 1.52/1.78 (define @t2414 () (@list @t2 @t695 @t2410)) % 1.52/1.78 (define @t2415 () (@var "BOUND_VARIABLE_14961" $$unsorted)) % 1.52/1.78 (define @t2416 () (@var "BOUND_VARIABLE_14963" $$unsorted)) % 1.52/1.78 (define @t2417 () (tptp.in @t2416 (tptp.setminus @t2 (tptp.binintersect @t695 @t2415)))) % 1.52/1.78 (define @t2418 () (not (tptp.in @t2416 @t2177))) % 1.52/1.78 (define @t2419 () (not (tptp.in @t2416 @t2))) % 1.52/1.78 (define @t2420 () (not (tptp.in @t2415 @t2181))) % 1.52/1.78 (define @t2421 () (or @t2184 @t2420 @t2419 @t2418 @t2417)) % 1.52/1.78 (define @t2422 () (@list @t2 @t695 @t2415 @t2416)) % 1.52/1.78 (define @t2423 () (@var "BOUND_VARIABLE_14906" $$unsorted)) % 1.52/1.78 (define @t2424 () (@var "BOUND_VARIABLE_14908" $$unsorted)) % 1.52/1.78 (define @t2425 () (not (tptp.in @t2424 (tptp.binintersect @t695 @t2423)))) % 1.52/1.78 (define @t2426 () (not (tptp.in @t2424 @t2177))) % 1.52/1.78 (define @t2427 () (not (tptp.in @t2424 @t2))) % 1.52/1.78 (define @t2428 () (not (tptp.in @t2423 @t2181))) % 1.52/1.78 (define @t2429 () (or @t2184 @t2428 @t2427 @t2426 @t2425)) % 1.52/1.78 (define @t2430 () (@list @t2 @t695 @t2423 @t2424)) % 1.52/1.78 (define @t2431 () (tptp.setminus @t2 @t2177)) % 1.52/1.78 (define @t2432 () (tptp.subset @t2431 @t695)) % 1.52/1.78 (define @t2433 () (tptp.subset @t695 @t2431)) % 1.52/1.78 (define @t2434 () (@var "BOUND_VARIABLE_14836" $$unsorted)) % 1.52/1.78 (define @t2435 () (tptp.in @t2434 @t695)) % 1.52/1.78 (define @t2436 () (not (tptp.in @t2434 @t2431))) % 1.52/1.78 (define @t2437 () (not (tptp.in @t2434 @t2))) % 1.52/1.78 (define @t2438 () (or @t2184 @t2437 @t2436 @t2435)) % 1.52/1.78 (define @t2439 () (@list @t2 @t695 @t2434)) % 1.52/1.78 (define @t2440 () (@var "BOUND_VARIABLE_14808" $$unsorted)) % 1.52/1.78 (define @t2441 () (tptp.in @t2440 @t2431)) % 1.52/1.78 (define @t2442 () (not (tptp.in @t2440 @t695))) % 1.52/1.78 (define @t2443 () (not (tptp.in @t2440 @t2))) % 1.52/1.78 (define @t2444 () (or @t2184 @t2443 @t2442 @t2441)) % 1.52/1.78 (define @t2445 () (@list @t2 @t695 @t2440)) % 1.52/1.78 (define @t2446 () (@var "BOUND_VARIABLE_14777" $$unsorted)) % 1.52/1.78 (define @t2447 () (tptp.subset @t695 @t2446)) % 1.52/1.78 (define @t2448 () (not (tptp.subset (tptp.setminus @t2 @t2446) @t2177))) % 1.52/1.78 (define @t2449 () (not (tptp.in @t2446 @t2181))) % 1.52/1.78 (define @t2450 () (or @t2184 @t2449 @t2448 @t2447)) % 1.52/1.78 (define @t2451 () (@list @t2 @t695 @t2446)) % 1.52/1.78 (define @t2452 () (@var "BOUND_VARIABLE_14748" $$unsorted)) % 1.52/1.78 (define @t2453 () (tptp.subset (tptp.setminus @t2 @t2452) @t2177)) % 1.52/1.78 (define @t2454 () (not (tptp.subset @t695 @t2452))) % 1.52/1.78 (define @t2455 () (not (tptp.in @t2452 @t2181))) % 1.52/1.78 (define @t2456 () (or @t2184 @t2455 @t2454 @t2453)) % 1.52/1.78 (define @t2457 () (@list @t2 @t695 @t2452)) % 1.52/1.78 (define @t2458 () (@var "BOUND_VARIABLE_14715" $$unsorted)) % 1.52/1.78 (define @t2459 () (not (tptp.in @t2458 @t695))) % 1.52/1.78 (define @t2460 () (@var "BOUND_VARIABLE_14713" $$unsorted)) % 1.52/1.78 (define @t2461 () (tptp.in @t2458 @t2460)) % 1.52/1.78 (define @t2462 () (not (tptp.in @t2458 @t2))) % 1.52/1.78 (define @t2463 () (not (tptp.subset @t695 @t2460))) % 1.52/1.78 (define @t2464 () (not (tptp.in @t2460 @t2181))) % 1.52/1.78 (define @t2465 () (or @t2184 @t2464 @t2463 @t2462 @t2461 @t2459)) % 1.52/1.78 (define @t2466 () (@list @t2 @t695 @t2460 @t2458)) % 1.52/1.78 (define @t2467 () (@var "BOUND_VARIABLE_14655" $$unsorted)) % 1.52/1.78 (define @t2468 () (not (tptp.in @t2467 @t695))) % 1.52/1.78 (define @t2469 () (@var "BOUND_VARIABLE_14653" $$unsorted)) % 1.52/1.78 (define @t2470 () (not (tptp.in @t2467 @t2469))) % 1.52/1.78 (define @t2471 () (not (tptp.in @t2467 @t2))) % 1.52/1.78 (define @t2472 () (not (tptp.subset @t695 (tptp.setminus @t2 @t2469)))) % 1.52/1.78 (define @t2473 () (not (tptp.in @t2469 @t2181))) % 1.52/1.78 (define @t2474 () (or @t2184 @t2473 @t2472 @t2471 @t2470 @t2468)) % 1.52/1.78 (define @t2475 () (@list @t2 @t695 @t2469 @t2467)) % 1.52/1.78 (define @t2476 () (@var "BOUND_VARIABLE_14592" $$unsorted)) % 1.52/1.78 (define @t2477 () (@var "BOUND_VARIABLE_14594" $$unsorted)) % 1.52/1.78 (define @t2478 () (not (tptp.in @t2477 (tptp.binintersect @t695 @t2476)))) % 1.52/1.78 (define @t2479 () (tptp.in @t2477 @t2476)) % 1.52/1.78 (define @t2480 () (not (tptp.in @t2477 @t2))) % 1.52/1.78 (define @t2481 () (not (tptp.in @t2476 @t2181))) % 1.52/1.78 (define @t2482 () (or @t2184 @t2481 @t2480 @t2479 @t2478)) % 1.52/1.78 (define @t2483 () (@list @t2 @t695 @t2476 @t2477)) % 1.52/1.78 (define @t2484 () (@var "BOUND_VARIABLE_14542" $$unsorted)) % 1.52/1.78 (define @t2485 () (@var "BOUND_VARIABLE_14544" $$unsorted)) % 1.52/1.78 (define @t2486 () (not (tptp.in @t2485 (tptp.binintersect @t695 @t2484)))) % 1.52/1.78 (define @t2487 () (tptp.in @t2485 @t695)) % 1.52/1.78 (define @t2488 () (not (tptp.in @t2485 @t2))) % 1.52/1.78 (define @t2489 () (not (tptp.in @t2484 @t2181))) % 1.52/1.78 (define @t2490 () (or @t2184 @t2489 @t2488 @t2487 @t2486)) % 1.52/1.78 (define @t2491 () (@list @t2 @t695 @t2484 @t2485)) % 1.52/1.78 (define @t2492 () (@var "BOUND_VARIABLE_14495" $$unsorted)) % 1.52/1.78 (define @t2493 () (tptp.in @t2492 @t695)) % 1.52/1.78 (define @t2494 () (tptp.in @t2492 @t2177)) % 1.52/1.78 (define @t2495 () (not (tptp.in @t2492 @t2))) % 1.52/1.78 (define @t2496 () (or @t2184 @t2495 @t2494 @t2493)) % 1.52/1.78 (define @t2497 () (@list @t2 @t695 @t2492)) % 1.52/1.78 (define @t2498 () (@var "BOUND_VARIABLE_14468" $$unsorted)) % 1.52/1.78 (define @t2499 () (not (tptp.in @t2498 @t2177))) % 1.52/1.78 (define @t2500 () (not (tptp.in @t2498 @t695))) % 1.52/1.78 (define @t2501 () (not (tptp.in @t2498 @t2))) % 1.52/1.78 (define @t2502 () (or @t2184 @t2501 @t2500 @t2499)) % 1.52/1.78 (define @t2503 () (@list @t2 @t695 @t2498)) % 1.52/1.78 (define @t2504 () (@var "BOUND_VARIABLE_14432" $$unsorted)) % 1.52/1.78 (define @t2505 () (@var "BOUND_VARIABLE_14434" $$unsorted)) % 1.52/1.78 (define @t2506 () (tptp.in @t2505 @t2504)) % 1.52/1.78 (define @t2507 () (not (tptp.in @t2505 @t695))) % 1.52/1.78 (define @t2508 () (not (tptp.in @t2505 @t2))) % 1.52/1.78 (define @t2509 () (not (tptp.in @t695 (tptp.powerset @t2504)))) % 1.52/1.78 (define @t2510 () (not (tptp.in @t2504 @t2181))) % 1.52/1.78 (define @t2511 () (or @t2184 @t2510 @t2509 @t2508 @t2507 @t2506)) % 1.52/1.78 (define @t2512 () (@list @t2 @t695 @t2504 @t2505)) % 1.52/1.78 (define @t2513 () (@var "BOUND_VARIABLE_14382" $$unsorted)) % 1.52/1.78 (define @t2514 () (tptp.in @t695 (tptp.powerset @t2513))) % 1.52/1.78 (define @t2515 () (tptp.in @t4 @t695)) % 1.52/1.78 (define @t2516 () (not @t2515)) % 1.52/1.78 (define @t2517 () (not (forall @t9 (or @t2125 @t2516 (tptp.in @t4 @t2513))))) % 1.52/1.78 (define @t2518 () (not (tptp.in @t2513 @t2181))) % 1.52/1.78 (define @t2519 () (or @t2184 @t2518 @t2517 @t2514)) % 1.52/1.78 (define @t2520 () (@list @t2 @t695 @t2513)) % 1.52/1.78 (define @t2521 () (@var "BOUND_VARIABLE_14348" $$unsorted)) % 1.52/1.78 (define @t2522 () (tptp.subset @t695 @t2521)) % 1.52/1.78 (define @t2523 () (not (forall @t9 (or @t2125 @t2516 (tptp.in @t4 @t2521))))) % 1.52/1.78 (define @t2524 () (not (tptp.in @t2521 @t2181))) % 1.52/1.78 (define @t2525 () (or @t2184 @t2524 @t2523 @t2522)) % 1.52/1.78 (define @t2526 () (@list @t2 @t695 @t2521)) % 1.52/1.78 (define @t2527 () (@var "BOUND_VARIABLE_14312" $$unsorted)) % 1.52/1.78 (define @t2528 () (= @t695 @t2527)) % 1.52/1.78 (define @t2529 () (tptp.in @t4 @t2527)) % 1.52/1.78 (define @t2530 () (not (forall @t9 (or @t2125 (not @t2529) @t2515)))) % 1.52/1.78 (define @t2531 () (not (forall @t9 (or @t2125 @t2516 @t2529)))) % 1.52/1.78 (define @t2532 () (not (tptp.in @t2527 @t2181))) % 1.52/1.78 (define @t2533 () (or @t2184 @t2532 @t2531 @t2530 @t2528)) % 1.52/1.78 (define @t2534 () (@list @t2 @t695 @t2527)) % 1.52/1.78 (define @t2535 () (tptp.in @t2177 @t2181)) % 1.52/1.78 (define @t2536 () (@var "BOUND_VARIABLE_14258" $$unsorted)) % 1.52/1.78 (define @t2537 () (tptp.in (tptp.setminus @t695 @t2536) @t2181)) % 1.52/1.78 (define @t2538 () (not (tptp.in @t2536 @t2181))) % 1.52/1.78 (define @t2539 () (or @t2184 @t2538 @t2537)) % 1.52/1.78 (define @t2540 () (@list @t2 @t695 @t2536)) % 1.52/1.78 (define @t2541 () (tptp.powerset @t2181)) % 1.52/1.78 (define @t2542 () (tptp.powerset @t695)) % 1.52/1.78 (define @t2543 () (tptp.in @t2542 @t2541)) % 1.52/1.78 (define @t2544 () (@var "BOUND_VARIABLE_14218" $$unsorted)) % 1.52/1.78 (define @t2545 () (tptp.in (tptp.binunion @t695 @t2544) @t2181)) % 1.52/1.78 (define @t2546 () (not (tptp.in @t2544 @t2181))) % 1.52/1.78 (define @t2547 () (or @t2184 @t2546 @t2545)) % 1.52/1.78 (define @t2548 () (@list @t2 @t695 @t2544)) % 1.52/1.78 (define @t2549 () (@var "BOUND_VARIABLE_14190" $$unsorted)) % 1.52/1.78 (define @t2550 () (tptp.in (tptp.binintersect @t695 @t2549) @t2181)) % 1.52/1.78 (define @t2551 () (not (tptp.in @t2549 @t2181))) % 1.52/1.78 (define @t2552 () (or @t2184 @t2551 @t2550)) % 1.52/1.78 (define @t2553 () (@list @t2 @t695 @t2549)) % 1.52/1.78 (define @t2554 () (@var "BOUND_VARIABLE_14152" $$unsorted)) % 1.52/1.78 (define @t2555 () (tptp.in (tptp.if @t2 @t173 @t4 @t2554) (tptp.setadjoin @t4 (tptp.setadjoin @t2554 tptp.emptyset)))) % 1.52/1.78 (define @t2556 () (not (tptp.in @t2554 @t2))) % 1.52/1.78 (define @t2557 () (or @t2125 @t2556 @t2555)) % 1.52/1.78 (define @t2558 () (@list @t2 @t173 @t4 @t2554)) % 1.52/1.78 (define @t2559 () (@var "BOUND_VARIABLE_14119" $$unsorted)) % 1.52/1.78 (define @t2560 () (= @t2559 (tptp.if @t2 false @t4 @t2559))) % 1.52/1.78 (define @t2561 () (not (tptp.in @t2559 @t2))) % 1.52/1.78 (define @t2562 () (or @t2125 @t2561 @t2560)) % 1.52/1.78 (define @t2563 () (@list @t2 @t4 @t2559)) % 1.52/1.78 (define @t2564 () (@var "BOUND_VARIABLE_14077" $$unsorted)) % 1.52/1.78 (define @t2565 () (= @t4 (tptp.if @t2 true @t4 @t2564))) % 1.52/1.78 (define @t2566 () (not (tptp.in @t2564 @t2))) % 1.52/1.78 (define @t2567 () (or @t2125 @t2566 @t2565)) % 1.52/1.78 (define @t2568 () (@list @t2 @t4 @t2564)) % 1.52/1.78 (define @t2569 () (@var "BOUND_VARIABLE_14042" $$unsorted)) % 1.52/1.78 (define @t2570 () (tptp.setunion @t695)) % 1.52/1.78 (define @t2571 () (not (tptp.in @t2569 @t695))) % 1.52/1.78 (define @t2572 () (tptp.singleton @t695)) % 1.52/1.78 (define @t2573 () (not @t2572)) % 1.52/1.78 (define @t2574 () (@list @t695 @t2569)) % 1.52/1.78 (define @t2575 () (@var "BOUND_VARIABLE_14014" $$unsorted)) % 1.52/1.78 (define @t2576 () (tptp.in (tptp.if @t2 @t173 @t4 @t2575) @t2)) % 1.52/1.78 (define @t2577 () (not (tptp.in @t2575 @t2))) % 1.52/1.78 (define @t2578 () (or @t2125 @t2577 @t2576)) % 1.52/1.78 (define @t2579 () (@list @t2 @t173 @t4 @t2575)) % 1.52/1.78 (define @t2580 () (@var "BOUND_VARIABLE_13975" $$unsorted)) % 1.52/1.78 (define @t2581 () (and @t173 @t745)) % 1.52/1.78 (define @t2582 () (not (tptp.in @t2580 @t2))) % 1.52/1.78 (define @t2583 () (@list @t2 @t173 @t4 @t2580)) % 1.52/1.78 (define @t2584 () (tptp.dsetconstr @t2 (lambda @t1067 @t745))) % 1.52/1.78 (define @t2585 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.52/1.78 (define @t2586 () (= @t2585 @t2584)) % 1.52/1.78 (define @t2587 () (@var "BOUND_VARIABLE_13922" $$unsorted)) % 1.52/1.78 (define @t2588 () (not (tptp.in @t2587 @t2))) % 1.52/1.78 (define @t2589 () (or @t2125 @t2588 @t2586)) % 1.52/1.78 (define @t2590 () (@list @t2 @t4 @t2587)) % 1.52/1.78 (define @t2591 () (tptp.in @t4 @t2584)) % 1.52/1.78 (define @t2592 () (@var "BOUND_VARIABLE_13859" $$unsorted)) % 1.52/1.78 (define @t2593 () (not (tptp.in @t2592 @t2))) % 1.52/1.78 (define @t2594 () (or @t2125 @t2593 @t2591)) % 1.52/1.78 (define @t2595 () (@list @t2 @t4 @t2592)) % 1.52/1.78 (define @t2596 () (@var "BOUND_VARIABLE_13796" $$unsorted)) % 1.52/1.78 (define @t2597 () (= @t289 @t2596)) % 1.52/1.78 (define @t2598 () (tptp.setadjoin @t2596 tptp.emptyset)) % 1.52/1.78 (define @t2599 () (not (tptp.in @t2596 @t2))) % 1.52/1.78 (define @t2600 () (@list @t2 @t4 @t2596)) % 1.52/1.78 (define @t2601 () (@var "BOUND_VARIABLE_13733" $$unsorted)) % 1.52/1.78 (define @t2602 () (= @t289 @t2601)) % 1.52/1.78 (define @t2603 () (not (tptp.in @t2601 @t2))) % 1.52/1.78 (define @t2604 () (@list @t2 @t4 @t2601)) % 1.52/1.78 (define @t2605 () (tptp.ap @t2 @t1 @t882 @t4)) % 1.52/1.78 (define @t2606 () (lambda @t9 @t2605)) % 1.52/1.78 (define @t2607 () (tptp.lam @t2 @t1 @t2606)) % 1.52/1.78 (define @t2608 () (= @t882 @t2607)) % 1.52/1.78 (define @t2609 () (tptp.funcSet @t2 @t1)) % 1.52/1.78 (define @t2610 () (tptp.in @t882 @t2609)) % 1.52/1.78 (define @t2611 () (not @t2610)) % 1.52/1.78 (define @t2612 () (@var "BOUND_VARIABLE_13662" $$unsorted)) % 1.52/1.78 (define @t2613 () (tptp.lam @t2 @t1 @t917)) % 1.52/1.78 (define @t2614 () (= (_ @t917 @t2612) (tptp.ap @t2 @t1 @t2613 @t2612))) % 1.52/1.78 (define @t2615 () (not (tptp.in @t2612 @t2))) % 1.52/1.78 (define @t2616 () (_ @t917 @t4)) % 1.52/1.78 (define @t2617 () (tptp.in @t2616 @t1)) % 1.52/1.78 (define @t2618 () (forall @t9 (or @t2125 @t2617))) % 1.52/1.78 (define @t2619 () (not @t2618)) % 1.52/1.78 (define @t2620 () (or @t2619 @t2615 @t2614)) % 1.52/1.78 (define @t2621 () (@list @t2 @t1 @t917 @t2612)) % 1.52/1.78 (define @t2622 () (forall @t2621 @t2620)) % 1.52/1.78 (define @t2623 () (=> @t2622 (=> (forall @t891 (or @t2611 @t2608)) (=> (forall @t2604 (or @t2125 @t2603 (tptp.in @t2601 (tptp.dsetconstr @t2 (lambda @t1067 @t2602))))) (=> (forall @t2600 (or @t2125 @t2599 (= @t2598 (tptp.dsetconstr @t2 (lambda @t1067 @t2597))))) (=> (forall @t2595 @t2594) (=> (forall @t2590 @t2589) (=> (forall @t2583 (or @t2125 @t2582 (tptp.singleton (tptp.dsetconstr @t2 (lambda @t1067 (or @t2581 (and @t1063 (= @t289 @t2580)))))))) (=> (forall @t2579 @t2578) (=> (forall @t2574 (or @t2573 @t2571 (= @t2570 @t2569))) (=> (forall @t2568 @t2567) (=> (forall @t2563 @t2562) (=> (forall @t2558 @t2557) (=> (forall @t2553 @t2552) (=> (forall @t2548 @t2547) (=> (forall @t1141 (or @t2184 @t2543)) (=> (forall @t2540 @t2539) (=> (forall @t1141 (or @t2184 @t2535)) (=> (forall @t2534 @t2533) (=> (forall @t2526 @t2525) (=> (forall @t2520 @t2519) (=> (forall @t2512 @t2511) (=> (forall @t2503 @t2502) (=> (forall @t2497 @t2496) (=> (forall @t2491 @t2490) (=> (forall @t2483 @t2482) (=> (forall @t2475 @t2474) (=> (forall @t2466 @t2465) (=> (forall @t2457 @t2456) (=> (forall @t2451 @t2450) (=> (forall @t2445 @t2444) (=> (forall @t2439 @t2438) (=> (forall @t1141 (or @t2184 @t2433)) (=> (forall @t1141 (or @t2184 @t2432)) (=> (forall @t1141 (or @t2184 (= @t695 @t2431))) (=> (forall @t2430 @t2429) (=> (forall @t2422 @t2421) (=> (forall @t2414 @t2413) (=> @t2217 (=> (forall @t2409 @t2408) (=> @t2194 (=> (forall @t2400 @t2399) (=> (forall @t2392 @t2391) (=> (forall @t2384 @t2383) (=> (forall @t2374 @t2373) (=> (forall @t2364 @t2363) (=> @t2202 (=> (forall @t2354 @t2353) (=> @t2328 (=> (forall @t2346 @t2345) (=> (forall @t2337 @t2336) (=> @t2328 (=> @t2187 (=> (forall @t2319 @t2318) (=> (forall @t2311 @t2310) (=> (forall @t2303 @t2302) (=> (forall @t2295 @t2294) (=> (forall @t2290 @t2289) (=> (forall @t2282 @t2281) (=> (forall @t2273 @t2272) (=> (forall @t2265 @t2264) (=> (forall @t2260 @t2259) (=> (forall @t2253 @t2252) (=> (forall @t2245 @t2244) (=> (forall @t2237 @t2236) (=> (forall @t2228 @t2227) (=> @t2217 (=> (forall @t2211 @t2210) (=> @t2202 (=> @t2194 (=> @t2187 (=> @t2155 (=> (forall @t1560 (or (not @t2176) @t2037)) (=> (forall @t2174 @t2173) (=> (forall @t1596 (tptp.breln1 @t2 (tptp.dpsetconstr @t2 @t2 @t67))) (=> @t2155 (=> (forall @t2142 @t2141) (=> (forall @t2136 @t2135) (=> (forall @t1560 (or @t2038 @t2117)) (=> (forall @t2116 @t2115) (=> (forall @t2108 @t2107) (=> (forall @t2099 @t2098) (=> (forall @t2094 @t2093) (=> @t2081 (=> @t2081 (=> (forall @t2068 @t2067) (=> (forall @t2063 @t2062) (=> (forall @t2052 @t2051) @t2041)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.52/1.78 (define @t2624 () (tptp.func @t2 @t1 @t882)) % 1.52/1.78 (define @t2625 () (not @t2624)) % 1.52/1.78 (define @t2626 () (forall @t891 (or @t2625 @t2608))) % 1.52/1.78 (define @t2627 () (@var "BOUND_VARIABLE_13613" $$unsorted)) % 1.52/1.78 (define @t2628 () (= @t882 @t2627)) % 1.52/1.78 (define @t2629 () (not (forall @t9 (or @t2125 (= @t2605 (tptp.ap @t2 @t1 @t2627 @t4)))))) % 1.52/1.78 (define @t2630 () (not (tptp.in @t2627 @t2609))) % 1.52/1.78 (define @t2631 () (or @t2611 @t2630 @t2629 @t2628)) % 1.52/1.78 (define @t2632 () (@list @t2 @t1 @t882 @t2627)) % 1.52/1.78 (define @t2633 () (forall @t2632 @t2631)) % 1.52/1.78 (define @t2634 () (@var "BOUND_VARIABLE_13579" $$unsorted)) % 1.52/1.78 (define @t2635 () (= @t882 @t2634)) % 1.52/1.78 (define @t2636 () (not (forall @t9 (or @t2125 (= @t2605 (tptp.ap @t2 @t1 @t2634 @t4)))))) % 1.52/1.78 (define @t2637 () (not (tptp.func @t2 @t1 @t2634))) % 1.52/1.78 (define @t2638 () (or @t2625 @t2637 @t2636 @t2635)) % 1.52/1.78 (define @t2639 () (@list @t2 @t1 @t882 @t2634)) % 1.52/1.78 (define @t2640 () (forall @t2639 @t2638)) % 1.52/1.78 (define @t2641 () (@var "BOUND_VARIABLE_13543" $$unsorted)) % 1.52/1.78 (define @t2642 () (= @t937 @t2641)) % 1.52/1.78 (define @t2643 () (@var "BOUND_VARIABLE_13512" $$unsorted)) % 1.52/1.78 (define @t2644 () (tptp.kpair @t4 @t2643)) % 1.52/1.78 (define @t2645 () (tptp.in @t2644 @t937)) % 1.52/1.78 (define @t2646 () (not (tptp.in @t2643 @t1))) % 1.52/1.78 (define @t2647 () (@list @t4 @t2643)) % 1.52/1.78 (define @t2648 () (not (forall @t2647 (or @t2125 @t2646 (not (tptp.in @t2644 @t2641)) @t2645)))) % 1.52/1.78 (define @t2649 () (@var "BOUND_VARIABLE_13449" $$unsorted)) % 1.52/1.78 (define @t2650 () (tptp.kpair @t4 @t2649)) % 1.52/1.78 (define @t2651 () (not (tptp.in @t2650 @t937))) % 1.52/1.78 (define @t2652 () (not (tptp.in @t2649 @t1))) % 1.52/1.78 (define @t2653 () (@list @t4 @t2649)) % 1.52/1.78 (define @t2654 () (not (forall @t2653 (or @t2125 @t2652 @t2651 (tptp.in @t2650 @t2641))))) % 1.52/1.78 (define @t2655 () (not (tptp.breln @t2 @t1 @t2641))) % 1.52/1.78 (define @t2656 () (tptp.breln @t2 @t1 @t937)) % 1.52/1.78 (define @t2657 () (not @t2656)) % 1.52/1.78 (define @t2658 () (or @t2657 @t2655 @t2654 @t2648 @t2642)) % 1.52/1.78 (define @t2659 () (@list @t2 @t1 @t937 @t2641)) % 1.52/1.78 (define @t2660 () (forall @t2659 @t2658)) % 1.52/1.78 (define @t2661 () (@var "BOUND_VARIABLE_13482" $$unsorted)) % 1.52/1.78 (define @t2662 () (tptp.subset @t937 @t2661)) % 1.52/1.78 (define @t2663 () (not (forall @t2653 (or @t2125 @t2652 @t2651 (tptp.in @t2650 @t2661))))) % 1.52/1.78 (define @t2664 () (not (tptp.breln @t2 @t1 @t2661))) % 1.52/1.78 (define @t2665 () (or @t2657 @t2664 @t2663 @t2662)) % 1.52/1.78 (define @t2666 () (@list @t2 @t1 @t937 @t2661)) % 1.52/1.78 (define @t2667 () (forall @t2666 @t2665)) % 1.52/1.78 (define @t2668 () (@var "BOUND_VARIABLE_13413" $$unsorted)) % 1.52/1.78 (define @t2669 () (tptp.ap @t2 @t1 @t882 @t2668)) % 1.52/1.78 (define @t2670 () (@var "BOUND_VARIABLE_13415" $$unsorted)) % 1.52/1.78 (define @t2671 () (not (tptp.in (tptp.kpair @t2668 @t2670) @t882))) % 1.52/1.78 (define @t2672 () (not (tptp.in @t2670 @t1))) % 1.52/1.78 (define @t2673 () (not (tptp.in @t2668 @t2))) % 1.52/1.78 (define @t2674 () (@list @t2 @t1 @t882 @t2668 @t2670)) % 1.52/1.78 (define @t2675 () (forall @t2674 (or @t2611 @t2673 @t2672 @t2671 (= @t2670 @t2669)))) % 1.52/1.78 (define @t2676 () (@var "BOUND_VARIABLE_13382" $$unsorted)) % 1.52/1.78 (define @t2677 () (@var "BOUND_VARIABLE_13380" $$unsorted)) % 1.52/1.78 (define @t2678 () (tptp.kpair @t2677 @t2676)) % 1.52/1.78 (define @t2679 () (tptp.in @t2678 @t882)) % 1.52/1.78 (define @t2680 () (@var "BOUND_VARIABLE_13378" $$unsorted)) % 1.52/1.78 (define @t2681 () (not (tptp.in @t2678 @t2680))) % 1.52/1.78 (define @t2682 () (not (tptp.in @t2676 @t1))) % 1.52/1.78 (define @t2683 () (not (tptp.in @t2677 @t2))) % 1.52/1.78 (define @t2684 () (not (forall @t9 (or @t2125 (= @t2605 (tptp.ap @t2 @t1 @t2680 @t4)))))) % 1.52/1.78 (define @t2685 () (not (tptp.func @t2 @t1 @t2680))) % 1.52/1.78 (define @t2686 () (or @t2625 @t2685 @t2684 @t2683 @t2682 @t2681 @t2679)) % 1.52/1.78 (define @t2687 () (@list @t2 @t1 @t882 @t2680 @t2677 @t2676)) % 1.52/1.78 (define @t2688 () (forall @t2687 @t2686)) % 1.52/1.78 (define @t2689 () (@var "BOUND_VARIABLE_13284" $$unsorted)) % 1.52/1.78 (define @t2690 () (tptp.ap @t2 @t1 @t882 @t2689)) % 1.52/1.78 (define @t2691 () (@var "BOUND_VARIABLE_13286" $$unsorted)) % 1.52/1.78 (define @t2692 () (not (tptp.in (tptp.kpair @t2689 @t2691) @t882))) % 1.52/1.78 (define @t2693 () (not (tptp.in @t2691 @t1))) % 1.52/1.78 (define @t2694 () (not (tptp.in @t2689 @t2))) % 1.52/1.78 (define @t2695 () (@list @t2 @t1 @t882 @t2689 @t2691)) % 1.52/1.78 (define @t2696 () (forall @t2695 (or @t2625 @t2694 @t2693 @t2692 (= @t2691 @t2690)))) % 1.52/1.78 (define @t2697 () (@var "BOUND_VARIABLE_13229" $$unsorted)) % 1.52/1.78 (define @t2698 () (tptp.in (tptp.kpair @t2697 (tptp.ap @t2 @t1 @t882 @t2697)) @t882)) % 1.52/1.78 (define @t2699 () (not (tptp.in @t2697 @t2))) % 1.52/1.78 (define @t2700 () (or @t2611 @t2699 @t2698)) % 1.52/1.78 (define @t2701 () (@list @t2 @t1 @t882 @t2697)) % 1.52/1.78 (define @t2702 () (forall @t2701 @t2700)) % 1.52/1.78 (define @t2703 () (@var "BOUND_VARIABLE_13208" $$unsorted)) % 1.52/1.78 (define @t2704 () (tptp.in (tptp.kpair @t2703 (tptp.ap @t2 @t1 @t882 @t2703)) @t882)) % 1.52/1.78 (define @t2705 () (not (tptp.in @t2703 @t2))) % 1.52/1.78 (define @t2706 () (or @t2625 @t2705 @t2704)) % 1.52/1.78 (define @t2707 () (@list @t2 @t1 @t882 @t2703)) % 1.52/1.78 (define @t2708 () (forall @t2707 @t2706)) % 1.52/1.78 (define @t2709 () (@var "BOUND_VARIABLE_13174" $$unsorted)) % 1.52/1.78 (define @t2710 () (@var "BOUND_VARIABLE_13172" $$unsorted)) % 1.52/1.78 (define @t2711 () (= @t2710 @t2709)) % 1.52/1.78 (define @t2712 () (not (_ @t143 @t2709))) % 1.52/1.78 (define @t2713 () (not (tptp.in @t2709 @t2))) % 1.52/1.78 (define @t2714 () (not (_ @t143 @t2710))) % 1.52/1.78 (define @t2715 () (not (tptp.in @t2710 @t2))) % 1.52/1.78 (define @t2716 () (tptp.ex1 @t2 @t143)) % 1.52/1.78 (define @t2717 () (not @t2716)) % 1.52/1.78 (define @t2718 () (or @t2717 @t2715 @t2714 @t2713 @t2712 @t2711)) % 1.52/1.78 (define @t2719 () (@list @t2 @t143 @t2710 @t2709)) % 1.52/1.78 (define @t2720 () (forall @t2719 @t2718)) % 1.52/1.78 (define @t2721 () (@var "BOUND_VARIABLE_13143" $$unsorted)) % 1.52/1.78 (define @t2722 () (@var "BOUND_VARIABLE_13141" (-> $$unsorted Bool))) % 1.52/1.78 (define @t2723 () (_ @t2722 @t2721)) % 1.52/1.78 (define @t2724 () (not (tptp.in @t2721 @t937))) % 1.52/1.78 (define @t2725 () (@var "BOUND_VARIABLE_13095" $$unsorted)) % 1.52/1.78 (define @t2726 () (tptp.kpair @t4 @t2725)) % 1.52/1.78 (define @t2727 () (not (tptp.in @t2726 @t937))) % 1.52/1.78 (define @t2728 () (not (tptp.in @t2725 @t1))) % 1.52/1.78 (define @t2729 () (@list @t4 @t2725)) % 1.52/1.78 (define @t2730 () (not (forall @t2729 (or @t2125 @t2728 @t2727 (_ @t2722 @t2726))))) % 1.52/1.78 (define @t2731 () (or @t2657 @t2730 @t2724 @t2723)) % 1.52/1.78 (define @t2732 () (@list @t2 @t1 @t937 @t2722 @t2721)) % 1.52/1.78 (define @t2733 () (forall @t2732 @t2731)) % 1.52/1.78 (define @t2734 () (forall @t923 (or @t2619 (tptp.in @t2613 @t2609)))) % 1.52/1.78 (define @t2735 () (forall @t923 (or @t2619 (tptp.func @t2 @t1 @t2613)))) % 1.52/1.78 (define @t2736 () (= @t19 @t2616)) % 1.52/1.78 (define @t2737 () (lambda @t135 @t2736)) % 1.52/1.78 (define @t2738 () (tptp.dpsetconstr @t2 @t1 @t2737)) % 1.52/1.78 (define @t2739 () (tptp.func @t2 @t1 @t2738)) % 1.52/1.78 (define @t2740 () (forall @t923 (or @t2619 @t2739))) % 1.52/1.78 (define @t2741 () (forall @t891 (or @t2625 @t2610))) % 1.52/1.78 (define @t2742 () (@var "BOUND_VARIABLE_12998" $$unsorted)) % 1.52/1.78 (define @t2743 () (tptp.in (tptp.ap @t2 @t1 @t882 @t2742) @t1)) % 1.52/1.78 (define @t2744 () (not (tptp.in @t2742 @t2))) % 1.52/1.78 (define @t2745 () (or @t2611 @t2744 @t2743)) % 1.52/1.78 (define @t2746 () (@list @t2 @t1 @t882 @t2742)) % 1.52/1.78 (define @t2747 () (forall @t2746 @t2745)) % 1.52/1.78 (define @t2748 () (forall @t891 (or @t2611 @t2624))) % 1.52/1.78 (define @t2749 () (@var "BOUND_VARIABLE_12967" $$unsorted)) % 1.52/1.78 (define @t2750 () (tptp.in (tptp.ap @t2 @t1 @t882 @t2749) @t1)) % 1.52/1.78 (define @t2751 () (not (tptp.in @t2749 @t2))) % 1.52/1.78 (define @t2752 () (or @t2625 @t2751 @t2750)) % 1.52/1.78 (define @t2753 () (@list @t2 @t1 @t882 @t2749)) % 1.52/1.78 (define @t2754 () (forall @t2753 @t2752)) % 1.52/1.78 (define @t2755 () (@var "BOUND_VARIABLE_12935" $$unsorted)) % 1.52/1.78 (define @t2756 () (tptp.in (tptp.setunion (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t2755 @t19) @t882)))) @t1)) % 1.52/1.78 (define @t2757 () (not (tptp.in @t2755 @t2))) % 1.52/1.78 (define @t2758 () (or @t2625 @t2757 @t2756)) % 1.52/1.78 (define @t2759 () (@list @t2 @t1 @t882 @t2755)) % 1.52/1.78 (define @t2760 () (forall @t2759 @t2758)) % 1.52/1.78 (define @t2761 () (@var "BOUND_VARIABLE_12903" $$unsorted)) % 1.52/1.78 (define @t2762 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t2761 @t19) @t882))))) % 1.52/1.78 (define @t2763 () (not (tptp.in @t2761 @t2))) % 1.52/1.78 (define @t2764 () (or @t2625 @t2763 @t2762)) % 1.52/1.78 (define @t2765 () (@list @t2 @t1 @t882 @t2761)) % 1.52/1.78 (define @t2766 () (forall @t2765 @t2764)) % 1.52/1.78 (define @t2767 () (tptp.dpsetconstr @t2 @t1 @t67)) % 1.52/1.78 (define @t2768 () (tptp.kpair @t4 @t19)) % 1.52/1.78 (define @t2769 () (tptp.in @t2768 @t2767)) % 1.52/1.78 (define @t2770 () (not @t2769)) % 1.52/1.78 (define @t2771 () (forall @t875 (or @t2770 @t2166))) % 1.52/1.78 (define @t2772 () (forall @t875 (or @t2770 @t2168))) % 1.52/1.78 (define @t2773 () (forall @t875 (or @t2770 @t2124))) % 1.52/1.78 (define @t2774 () (@var "BOUND_VARIABLE_12844" $$unsorted)) % 1.52/1.78 (define @t2775 () (_ @t67 @t4 @t2774)) % 1.52/1.78 (define @t2776 () (not (tptp.in (tptp.kpair @t4 @t2774) @t2767))) % 1.52/1.78 (define @t2777 () (not (tptp.in @t2774 @t1))) % 1.52/1.78 (define @t2778 () (or @t2125 @t2777 @t2776 @t2775)) % 1.52/1.78 (define @t2779 () (@list @t2 @t1 @t67 @t4 @t2774)) % 1.52/1.78 (define @t2780 () (forall @t2779 @t2778)) % 1.52/1.78 (define @t2781 () (forall @t863 (tptp.breln @t2 @t1 @t2767))) % 1.52/1.78 (define @t2782 () (tptp.cartprod @t2 @t1)) % 1.52/1.78 (define @t2783 () (forall @t863 (tptp.subset @t2767 @t2782))) % 1.52/1.78 (define @t2784 () (@var "BOUND_VARIABLE_12793" $$unsorted)) % 1.52/1.78 (define @t2785 () (tptp.in (tptp.kpair @t4 @t2784) @t2767)) % 1.52/1.78 (define @t2786 () (not (_ @t67 @t4 @t2784))) % 1.52/1.78 (define @t2787 () (not (tptp.in @t2784 @t1))) % 1.52/1.78 (define @t2788 () (or @t2125 @t2787 @t2786 @t2785)) % 1.52/1.78 (define @t2789 () (@list @t2 @t1 @t67 @t4 @t2784)) % 1.52/1.78 (define @t2790 () (forall @t2789 @t2788)) % 1.52/1.78 (define @t2791 () (tptp.ksnd @t383)) % 1.52/1.78 (define @t2792 () (tptp.kfst @t383)) % 1.52/1.78 (define @t2793 () (tptp.kpair @t2792 @t2791)) % 1.52/1.78 (define @t2794 () (= @t383 @t2793)) % 1.52/1.78 (define @t2795 () (tptp.in @t383 @t2782)) % 1.52/1.78 (define @t2796 () (not @t2795)) % 1.52/1.78 (define @t2797 () (forall @t689 (or @t2796 @t2794))) % 1.52/1.78 (define @t2798 () (@var "BOUND_VARIABLE_12747" $$unsorted)) % 1.52/1.78 (define @t2799 () (= @t2798 (tptp.ksnd (tptp.kpair @t4 @t2798)))) % 1.52/1.78 (define @t2800 () (not (tptp.in @t2798 @t1))) % 1.52/1.78 (define @t2801 () (or @t2125 @t2800 @t2799)) % 1.52/1.78 (define @t2802 () (@list @t2 @t1 @t4 @t2798)) % 1.52/1.78 (define @t2803 () (forall @t2802 @t2801)) % 1.52/1.78 (define @t2804 () (@var "BOUND_VARIABLE_12720" $$unsorted)) % 1.52/1.78 (define @t2805 () (= @t4 (tptp.kfst (tptp.kpair @t4 @t2804)))) % 1.52/1.78 (define @t2806 () (not (tptp.in @t2804 @t1))) % 1.52/1.78 (define @t2807 () (or @t2125 @t2806 @t2805)) % 1.52/1.78 (define @t2808 () (@list @t2 @t1 @t4 @t2804)) % 1.52/1.78 (define @t2809 () (forall @t2808 @t2807)) % 1.52/1.78 (define @t2810 () (tptp.in @t2768 @t2782)) % 1.52/1.78 (define @t2811 () (not @t2810)) % 1.52/1.78 (define @t2812 () (forall @t825 (or @t2811 @t2168))) % 1.52/1.78 (define @t2813 () (forall @t825 (or @t2811 @t2124))) % 1.52/1.78 (define @t2814 () (tptp.in @t2791 @t1)) % 1.52/1.78 (define @t2815 () (forall @t689 (or @t2796 @t2814))) % 1.52/1.78 (define @t2816 () (tptp.iskpair @t383)) % 1.52/1.78 (define @t2817 () (not @t2816)) % 1.52/1.78 (define @t2818 () (forall @t757 (or @t2817 @t2794))) % 1.52/1.78 (define @t2819 () (tptp.ksnd @t2768)) % 1.52/1.78 (define @t2820 () (= @t19 @t2819)) % 1.52/1.78 (define @t2821 () (forall @t135 @t2820)) % 1.52/1.78 (define @t2822 () (tptp.kpair @t2792 @t4)) % 1.52/1.78 (define @t2823 () (= @t383 @t2822)) % 1.52/1.78 (define @t2824 () (lambda @t9 @t2823)) % 1.52/1.78 (define @t2825 () (tptp.setunion @t383)) % 1.52/1.78 (define @t2826 () (tptp.dsetconstr @t2825 @t2824)) % 1.52/1.78 (define @t2827 () (tptp.singleton @t2826)) % 1.52/1.78 (define @t2828 () (forall @t757 (or @t2817 @t2827))) % 1.52/1.78 (define @t2829 () (tptp.kpair @t289 @t383)) % 1.52/1.78 (define @t2830 () (not (= @t2768 @t2829))) % 1.52/1.78 (define @t2831 () (forall @t778 (or @t2830 @t793))) % 1.52/1.78 (define @t2832 () (tptp.setadjoin @t383 tptp.emptyset)) % 1.52/1.78 (define @t2833 () (tptp.setadjoin @t289 @t2832)) % 1.52/1.78 (define @t2834 () (tptp.setadjoin @t2833 tptp.emptyset)) % 1.52/1.78 (define @t2835 () (tptp.setadjoin @t289 tptp.emptyset)) % 1.52/1.78 (define @t2836 () (tptp.setadjoin @t2835 @t2834)) % 1.52/1.78 (define @t2837 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.52/1.78 (define @t2838 () (tptp.setadjoin @t4 @t2837)) % 1.52/1.78 (define @t2839 () (tptp.setadjoin @t2838 tptp.emptyset)) % 1.52/1.78 (define @t2840 () (tptp.setadjoin @t2585 @t2839)) % 1.52/1.78 (define @t2841 () (not (= @t2840 @t2836))) % 1.52/1.78 (define @t2842 () (forall @t778 (or @t2841 @t793))) % 1.52/1.78 (define @t2843 () (forall @t297 (or (not (= @t2838 @t2835)) @t129))) % 1.52/1.78 (define @t2844 () (not (= @t2840 (tptp.setadjoin @t2832 (tptp.setadjoin (tptp.setadjoin @t383 @t2832) tptp.emptyset))))) % 1.52/1.78 (define @t2845 () (or @t2844 @t793)) % 1.52/1.78 (define @t2846 () (@list @t4 @t19 @t383)) % 1.52/1.78 (define @t2847 () (forall @t2846 @t2845)) % 1.52/1.78 (define @t2848 () (tptp.setadjoin @t19 @t2837)) % 1.52/1.78 (define @t2849 () (= (tptp.setadjoin @t2837 (tptp.setadjoin @t2848 tptp.emptyset)) (tptp.setadjoin @t2837 tptp.emptyset))) % 1.52/1.78 (define @t2850 () (forall @t70 @t2849)) % 1.52/1.78 (define @t2851 () (= @t2837 @t2848)) % 1.52/1.78 (define @t2852 () (forall @t70 @t2851)) % 1.52/1.78 (define @t2853 () (forall @t778 (or @t2830 @t745))) % 1.52/1.78 (define @t2854 () (forall @t778 (or @t2841 @t745))) % 1.52/1.78 (define @t2855 () (tptp.in @t2792 @t2)) % 1.52/1.78 (define @t2856 () (forall @t689 (or @t2796 @t2855))) % 1.52/1.78 (define @t2857 () (tptp.kfst @t2768)) % 1.52/1.78 (define @t2858 () (= @t4 @t2857)) % 1.52/1.78 (define @t2859 () (forall @t135 @t2858)) % 1.52/1.78 (define @t2860 () (tptp.in @t2570 @t695)) % 1.52/1.78 (define @t2861 () (forall @t700 (or @t2573 @t2860))) % 1.52/1.78 (define @t2862 () (tptp.in @t2585 @t383)) % 1.52/1.78 (define @t2863 () (lambda @t9 @t2862)) % 1.52/1.78 (define @t2864 () (tptp.dsetconstr @t2825 @t2863)) % 1.52/1.78 (define @t2865 () (tptp.singleton @t2864)) % 1.52/1.78 (define @t2866 () (forall @t757 (or @t2817 @t2865))) % 1.52/1.78 (define @t2867 () (tptp.in @t2835 @t2840)) % 1.52/1.78 (define @t2868 () (forall @t297 (or (not @t2867) @t745))) % 1.52/1.78 (define @t2869 () (forall @t135 (or (not (= @t2837 @t2585)) @t129))) % 1.52/1.78 (define @t2870 () (@var "BOUND_VARIABLE_12457" $$unsorted)) % 1.52/1.78 (define @t2871 () (not (_ @t143 @t2870))) % 1.52/1.78 (define @t2872 () (not (tptp.in @t2870 @t2))) % 1.52/1.78 (define @t2873 () (@var "BOUND_VARIABLE_12371" $$unsorted)) % 1.52/1.78 (define @t2874 () (= @t4 @t2873)) % 1.52/1.78 (define @t2875 () (not (_ @t143 @t2873))) % 1.52/1.78 (define @t2876 () (not (tptp.in @t2873 @t2))) % 1.52/1.78 (define @t2877 () (_ @t143 @t4)) % 1.52/1.78 (define @t2878 () (not @t2877)) % 1.52/1.78 (define @t2879 () (or @t2125 @t2878 @t2876 @t2875 @t2874)) % 1.52/1.78 (define @t2880 () (@list @t4 @t2873)) % 1.52/1.78 (define @t2881 () (forall @t2880 @t2879)) % 1.52/1.78 (define @t2882 () (not @t2881)) % 1.52/1.78 (define @t2883 () (or @t2882 @t2716 @t2872 @t2871)) % 1.52/1.78 (define @t2884 () (@list @t2 @t143 @t2870)) % 1.52/1.78 (define @t2885 () (forall @t2884 @t2883)) % 1.52/1.78 (define @t2886 () (_ @t143 @t19)) % 1.52/1.78 (define @t2887 () (not @t2886)) % 1.52/1.78 (define @t2888 () (tptp.in @t19 @t2)) % 1.52/1.78 (define @t2889 () (not @t2888)) % 1.52/1.78 (define @t2890 () (forall @t70 (or @t2889 @t2887 @t129))) % 1.52/1.78 (define @t2891 () (not @t2890)) % 1.52/1.78 (define @t2892 () (forall @t159 (or @t2125 @t2878 @t2891 @t2716))) % 1.52/1.78 (define @t2893 () (forall @t9 (or @t2125 @t2878))) % 1.52/1.78 (define @t2894 () (not @t2893)) % 1.52/1.78 (define @t2895 () (forall @t311 (or @t2717 @t2894))) % 1.52/1.78 (define @t2896 () (@var "BOUND_VARIABLE_12398" $$unsorted)) % 1.52/1.78 (define @t2897 () (not (_ @t143 @t2896))) % 1.52/1.78 (define @t2898 () (not (tptp.in @t2896 @t2))) % 1.52/1.78 (define @t2899 () (tptp.dsetconstr @t2 @t143)) % 1.52/1.78 (define @t2900 () (tptp.singleton @t2899)) % 1.52/1.78 (define @t2901 () (or @t2882 @t2900 @t2898 @t2897)) % 1.52/1.78 (define @t2902 () (@list @t2 @t143 @t2896)) % 1.52/1.78 (define @t2903 () (forall @t2902 @t2901)) % 1.52/1.78 (define @t2904 () (tptp.setunion @t2585)) % 1.52/1.78 (define @t2905 () (forall @t9 (= @t4 @t2904))) % 1.52/1.78 (define @t2906 () (tptp.setadjoin @t2 tptp.emptyset)) % 1.52/1.78 (define @t2907 () (tptp.setunion @t2906)) % 1.52/1.78 (define @t2908 () (tptp.subset @t2 @t2907)) % 1.52/1.78 (define @t2909 () (forall @t64 @t2908)) % 1.52/1.78 (define @t2910 () (tptp.subset @t2907 @t2)) % 1.52/1.78 (define @t2911 () (forall @t64 @t2910)) % 1.52/1.78 (define @t2912 () (tptp.in @t695 @t2)) % 1.52/1.78 (define @t2913 () (not (forall @t700 (or (not @t2912) @t2516)))) % 1.52/1.78 (define @t2914 () (tptp.setunion @t2)) % 1.52/1.78 (define @t2915 () (tptp.in @t4 @t2914)) % 1.52/1.78 (define @t2916 () (not @t2915)) % 1.52/1.78 (define @t2917 () (forall @t46 (or @t2916 @t2913))) % 1.52/1.78 (define @t2918 () (forall @t689 (or @t2796 @t2816))) % 1.52/1.78 (define @t2919 () (@var "BOUND_VARIABLE_12281" $$unsorted)) % 1.52/1.78 (define @t2920 () (not (= @t383 (tptp.kpair @t4 @t2919)))) % 1.52/1.78 (define @t2921 () (not (tptp.in @t2919 @t1))) % 1.52/1.78 (define @t2922 () (or @t2125 @t2921 @t2920)) % 1.52/1.78 (define @t2923 () (@list @t4 @t2919)) % 1.52/1.78 (define @t2924 () (not (forall @t2923 @t2922))) % 1.52/1.78 (define @t2925 () (forall @t689 (or @t2796 @t2924))) % 1.52/1.78 (define @t2926 () (@var "BOUND_VARIABLE_12247" $$unsorted)) % 1.52/1.78 (define @t2927 () (tptp.in (tptp.kpair @t4 @t2926) @t2782)) % 1.52/1.78 (define @t2928 () (not (tptp.in @t2926 @t1))) % 1.52/1.78 (define @t2929 () (or @t2125 @t2928 @t2927)) % 1.52/1.78 (define @t2930 () (@list @t2 @t1 @t4 @t2926)) % 1.52/1.78 (define @t2931 () (forall @t2930 @t2929)) % 1.52/1.78 (define @t2932 () (tptp.binunion @t2 @t1)) % 1.52/1.78 (define @t2933 () (tptp.powerset @t2932)) % 1.52/1.78 (define @t2934 () (tptp.powerset @t2933)) % 1.52/1.78 (define @t2935 () (@var "BOUND_VARIABLE_12220" $$unsorted)) % 1.52/1.78 (define @t2936 () (tptp.in (tptp.kpair @t4 @t2935) @t2934)) % 1.52/1.78 (define @t2937 () (not (tptp.in @t2935 @t1))) % 1.52/1.78 (define @t2938 () (or @t2125 @t2937 @t2936)) % 1.52/1.78 (define @t2939 () (@list @t2 @t1 @t4 @t2935)) % 1.52/1.78 (define @t2940 () (forall @t2939 @t2938)) % 1.52/1.78 (define @t2941 () (@var "BOUND_VARIABLE_12190" $$unsorted)) % 1.52/1.78 (define @t2942 () (tptp.in (tptp.setadjoin @t2585 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t2941 tptp.emptyset)) tptp.emptyset)) @t2934)) % 1.52/1.78 (define @t2943 () (not (tptp.in @t2941 @t1))) % 1.52/1.78 (define @t2944 () (or @t2125 @t2943 @t2942)) % 1.52/1.78 (define @t2945 () (@list @t2 @t1 @t4 @t2941)) % 1.52/1.78 (define @t2946 () (forall @t2945 @t2944)) % 1.52/1.78 (define @t2947 () (@var "BOUND_VARIABLE_12158" $$unsorted)) % 1.52/1.78 (define @t2948 () (tptp.subset (tptp.setadjoin @t2585 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t2947 tptp.emptyset)) tptp.emptyset)) @t2933)) % 1.52/1.78 (define @t2949 () (not (tptp.in @t2947 @t1))) % 1.52/1.78 (define @t2950 () (or @t2125 @t2949 @t2948)) % 1.52/1.78 (define @t2951 () (@list @t2 @t1 @t4 @t2947)) % 1.52/1.78 (define @t2952 () (forall @t2951 @t2950)) % 1.52/1.78 (define @t2953 () (@var "BOUND_VARIABLE_12130" $$unsorted)) % 1.52/1.78 (define @t2954 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t2953 tptp.emptyset)) @t2933)) % 1.52/1.78 (define @t2955 () (not (tptp.in @t2953 @t1))) % 1.52/1.78 (define @t2956 () (or @t2125 @t2955 @t2954)) % 1.52/1.78 (define @t2957 () (@list @t2 @t1 @t4 @t2953)) % 1.52/1.78 (define @t2958 () (forall @t2957 @t2956)) % 1.52/1.78 (define @t2959 () (@var "BOUND_VARIABLE_12102" $$unsorted)) % 1.52/1.78 (define @t2960 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t2959 tptp.emptyset)) @t2932)) % 1.52/1.78 (define @t2961 () (not (tptp.in @t2959 @t1))) % 1.52/1.78 (define @t2962 () (or @t2125 @t2961 @t2960)) % 1.52/1.78 (define @t2963 () (@list @t2 @t1 @t4 @t2959)) % 1.52/1.78 (define @t2964 () (forall @t2963 @t2962)) % 1.52/1.78 (define @t2965 () (= @t19 @t289)) % 1.52/1.78 (define @t2966 () (tptp.in @t289 @t2838)) % 1.52/1.78 (define @t2967 () (forall @t297 (or (not @t2966) @t745 @t2965))) % 1.52/1.78 (define @t2968 () (tptp.in @t2585 @t2933)) % 1.52/1.78 (define @t2969 () (forall @t245 (or @t2125 @t2968))) % 1.52/1.78 (define @t2970 () (tptp.in @t2585 @t2181)) % 1.52/1.78 (define @t2971 () (forall @t46 (or @t2125 @t2970))) % 1.52/1.78 (define @t2972 () (tptp.subset @t2585 @t2)) % 1.52/1.78 (define @t2973 () (forall @t46 (or @t2125 @t2972))) % 1.52/1.78 (define @t2974 () (tptp.iskpair @t2768)) % 1.52/1.78 (define @t2975 () (forall @t135 @t2974)) % 1.52/1.78 (define @t2976 () (tptp.iskpair @t2840)) % 1.52/1.78 (define @t2977 () (forall @t135 @t2976)) % 1.52/1.78 (define @t2978 () (tptp.setunion @t2840)) % 1.52/1.78 (define @t2979 () (tptp.in @t19 @t2978)) % 1.52/1.78 (define @t2980 () (forall @t135 @t2979)) % 1.52/1.78 (define @t2981 () (tptp.in @t4 @t2978)) % 1.52/1.78 (define @t2982 () (forall @t135 @t2981)) % 1.52/1.78 (define @t2983 () (tptp.in @t19 @t2838)) % 1.52/1.79 (define @t2984 () (forall @t135 @t2983)) % 1.52/1.79 (define @t2985 () (tptp.symdiff @t2 @t1)) % 1.52/1.79 (define @t2986 () (tptp.in @t4 @t2985)) % 1.52/1.79 (define @t2987 () (not @t2986)) % 1.52/1.79 (define @t2988 () (tptp.in @t4 @t1)) % 1.52/1.79 (define @t2989 () (forall @t245 (or @t2124 @t2988 @t2987))) % 1.52/1.79 (define @t2990 () (not @t2988)) % 1.52/1.79 (define @t2991 () (forall @t245 (or @t2125 @t2990 @t2987))) % 1.52/1.79 (define @t2992 () (forall @t245 (or @t2124 @t2990 @t2986))) % 1.52/1.79 (define @t2993 () (forall @t245 (or @t2125 @t2988 @t2986))) % 1.52/1.79 (define @t2994 () (and @t2125 @t2988)) % 1.52/1.79 (define @t2995 () (and @t2124 @t2990)) % 1.52/1.79 (define @t2996 () (forall @t245 (or @t2987 @t2995 @t2994))) % 1.52/1.79 (define @t2997 () (tptp.subset @t2 @t1)) % 1.52/1.79 (define @t2998 () (tptp.setminus @t2 @t1)) % 1.52/1.79 (define @t2999 () (= tptp.emptyset @t2998)) % 1.52/1.79 (define @t3000 () (forall @t12 (or (not @t2999) @t2997))) % 1.52/1.79 (define @t3001 () (tptp.subset @t2998 @t2)) % 1.52/1.79 (define @t3002 () (forall @t12 @t3001)) % 1.52/1.79 (define @t3003 () (tptp.in @t4 @t2998)) % 1.52/1.79 (define @t3004 () (not @t3003)) % 1.52/1.79 (define @t3005 () (forall @t245 (or @t2990 @t3004))) % 1.52/1.79 (define @t3006 () (forall @t245 (or @t2124 @t3004))) % 1.52/1.79 (define @t3007 () (forall @t245 (or @t3003 @t2988 @t2125))) % 1.52/1.79 (define @t3008 () (forall @t245 (or @t3003 @t2125 @t2988))) % 1.52/1.79 (define @t3009 () (not @t2997)) % 1.52/1.79 (define @t3010 () (forall @t12 (or @t3009 @t2999))) % 1.52/1.79 (define @t3011 () (forall @t245 (or @t3004 @t2990))) % 1.52/1.79 (define @t3012 () (forall @t245 (or @t3004 @t2124))) % 1.52/1.79 (define @t3013 () (forall @t245 (or @t2125 @t2988 @t3003))) % 1.52/1.79 (define @t3014 () (tptp.binintersect @t2 @t104)) % 1.52/1.79 (define @t3015 () (tptp.binintersect @t2 @t1)) % 1.52/1.79 (define @t3016 () (tptp.binunion @t3015 @t3014)) % 1.52/1.79 (define @t3017 () (tptp.binunion @t1 @t104)) % 1.52/1.79 (define @t3018 () (tptp.binintersect @t2 @t3017)) % 1.52/1.79 (define @t3019 () (forall @t457 (= @t3018 @t3016))) % 1.52/1.79 (define @t3020 () (= @t2 @t3015)) % 1.52/1.79 (define @t3021 () (forall @t12 (or (not @t3020) @t2997))) % 1.52/1.79 (define @t3022 () (= @t1 @t3015)) % 1.52/1.79 (define @t3023 () (tptp.subset @t1 @t2)) % 1.52/1.79 (define @t3024 () (not @t3023)) % 1.52/1.79 (define @t3025 () (forall @t12 (or @t3024 @t3022))) % 1.52/1.79 (define @t3026 () (tptp.subset @t3015 @t1)) % 1.52/1.79 (define @t3027 () (forall @t12 @t3026)) % 1.52/1.79 (define @t3028 () (forall @t9 (or @t2125 @t2990))) % 1.52/1.79 (define @t3029 () (not @t3028)) % 1.52/1.79 (define @t3030 () (forall @t12 (or @t3029 (= tptp.emptyset @t3015)))) % 1.52/1.79 (define @t3031 () (tptp.in @t4 @t3015)) % 1.52/1.79 (define @t3032 () (not @t3031)) % 1.52/1.79 (define @t3033 () (forall @t245 (or @t3032 @t2988))) % 1.52/1.79 (define @t3034 () (forall @t12 (or (not @t3022) @t3023))) % 1.52/1.79 (define @t3035 () (forall @t12 (or @t3009 @t3020))) % 1.52/1.79 (define @t3036 () (tptp.subset @t3015 @t2)) % 1.52/1.79 (define @t3037 () (forall @t12 @t3036)) % 1.52/1.79 (define @t3038 () (forall @t245 (or @t3032 @t2124))) % 1.52/1.79 (define @t3039 () (tptp.subset @t104 @t3015)) % 1.52/1.79 (define @t3040 () (tptp.subset @t104 @t1)) % 1.52/1.79 (define @t3041 () (tptp.subset @t104 @t2)) % 1.52/1.79 (define @t3042 () (forall @t457 (or (not @t3041) (not @t3040) @t3039))) % 1.52/1.79 (define @t3043 () (forall @t245 (or @t2125 @t2990 @t3031))) % 1.52/1.79 (define @t3044 () (tptp.subset @t1 @t2932)) % 1.52/1.79 (define @t3045 () (forall @t12 @t3044)) % 1.52/1.79 (define @t3046 () (tptp.subset @t2 @t2932)) % 1.52/1.79 (define @t3047 () (forall @t12 @t3046)) % 1.52/1.79 (define @t3048 () (tptp.in @t4 @t2932)) % 1.52/1.79 (define @t3049 () (not @t3048)) % 1.52/1.79 (define @t3050 () (forall @t245 (or @t3049 @t2124 @t2988))) % 1.52/1.79 (define @t3051 () (forall @t245 (or @t2990 @t3048))) % 1.52/1.79 (define @t3052 () (forall @t245 (or @t2125 @t3048))) % 1.52/1.79 (define @t3053 () (forall @t311 (tptp.subset @t2899 @t2))) % 1.52/1.79 (define @t3054 () (forall @t311 (tptp.in @t2899 @t2181))) % 1.52/1.79 (define @t3055 () (tptp.powerset @t1)) % 1.52/1.79 (define @t3056 () (tptp.subset @t2181 @t3055)) % 1.52/1.79 (define @t3057 () (forall @t12 (or @t3009 @t3056))) % 1.52/1.79 (define @t3058 () (tptp.in @t2 @t2181)) % 1.52/1.79 (define @t3059 () (forall @t64 @t3058)) % 1.52/1.79 (define @t3060 () (tptp.in @t1 @t2181)) % 1.52/1.79 (define @t3061 () (not @t3060)) % 1.52/1.79 (define @t3062 () (forall @t12 (or @t3061 @t3023))) % 1.52/1.79 (define @t3063 () (forall @t12 (or @t3024 @t3060))) % 1.52/1.79 (define @t3064 () (tptp.subset @t2 tptp.emptyset)) % 1.52/1.79 (define @t3065 () (forall @t64 (or (not @t3064) @t196))) % 1.52/1.79 (define @t3066 () (forall @t12 (or @t3009 @t3024 @t3))) % 1.52/1.79 (define @t3067 () (tptp.in @t2 @t3055)) % 1.52/1.79 (define @t3068 () (forall @t12 (or @t3009 @t3067))) % 1.52/1.79 (define @t3069 () (tptp.setadjoin @t4 @t1)) % 1.52/1.79 (define @t3070 () (tptp.subset @t2 @t3069)) % 1.52/1.79 (define @t3071 () (forall @t249 (or @t3009 @t3070))) % 1.52/1.79 (define @t3072 () (tptp.setadjoin @t4 @t2)) % 1.52/1.79 (define @t3073 () (tptp.subset @t2 @t3072)) % 1.52/1.79 (define @t3074 () (forall @t461 @t3073)) % 1.52/1.79 (define @t3075 () (tptp.subset @t2 @t104)) % 1.52/1.79 (define @t3076 () (tptp.subset @t1 @t104)) % 1.52/1.79 (define @t3077 () (forall @t457 (or @t3009 (not @t3076) @t3075))) % 1.52/1.79 (define @t3078 () (tptp.subset @t2 @t2)) % 1.52/1.79 (define @t3079 () (forall @t64 @t3078)) % 1.52/1.79 (define @t3080 () (tptp.subset @t1 @t1)) % 1.52/1.79 (define @t3081 () (forall @t41 @t3080)) % 1.52/1.79 (define @t3082 () (forall @t245 (or @t2125 @t2988 @t3009))) % 1.52/1.79 (define @t3083 () (forall @t245 (or @t3009 @t2988 @t2125))) % 1.52/1.79 (define @t3084 () (forall @t245 (or @t3009 @t2125 @t2988))) % 1.52/1.79 (define @t3085 () (tptp.subset tptp.emptyset @t2)) % 1.52/1.79 (define @t3086 () (forall @t64 @t3085)) % 1.52/1.79 (define @t3087 () (forall @t9 (or @t2125 @t2988))) % 1.52/1.79 (define @t3088 () (not @t3087)) % 1.52/1.79 (define @t3089 () (forall @t12 (or @t3088 @t2997))) % 1.52/1.79 (define @t3090 () (@var "BOUND_VARIABLE_11499" (-> $$unsorted Bool))) % 1.52/1.79 (define @t3091 () (tptp.dsetconstr @t1 @t3090)) % 1.52/1.79 (define @t3092 () (@var "BOUND_VARIABLE_11501" (-> $$unsorted Bool))) % 1.52/1.79 (define @t3093 () (tptp.dsetconstr @t1 @t3092)) % 1.52/1.79 (define @t3094 () (= @t3093 @t3091)) % 1.52/1.79 (define @t3095 () (= (_ @t3090 @t4) (_ @t3092 @t4))) % 1.52/1.79 (define @t3096 () (or @t2990 @t3095)) % 1.52/1.79 (define @t3097 () (not (forall @t9 @t3096))) % 1.52/1.79 (define @t3098 () (or @t3097 @t3094)) % 1.52/1.79 (define @t3099 () (@list @t1 @t3090 @t3092)) % 1.52/1.79 (define @t3100 () (forall @t3099 @t3098)) % 1.52/1.79 (define @t3101 () (@var "BOUND_VARIABLE_11438" $$unsorted)) % 1.52/1.79 (define @t3102 () (_ @t368 @t19)) % 1.52/1.79 (define @t3103 () (not @t3102)) % 1.52/1.79 (define @t3104 () (not (_ @t368 @t3101))) % 1.52/1.79 (define @t3105 () (@var "BOUND_VARIABLE_11429" $$unsorted)) % 1.52/1.79 (define @t3106 () (not (_ @t143 @t3105))) % 1.52/1.79 (define @t3107 () (tptp.descr @t143)) % 1.52/1.79 (define @t3108 () (= @t3107 (tptp.descr @t368))) % 1.52/1.79 (define @t3109 () (= @t2886 @t3102)) % 1.52/1.79 (define @t3110 () (forall @t70 @t3109)) % 1.52/1.79 (define @t3111 () (not @t3110)) % 1.52/1.79 (define @t3112 () (@list @t143 @t368 @t3105 @t3101)) % 1.52/1.79 (define @t3113 () (forall @t3112 (or @t3111 @t3108 @t3106 (not (forall @t70 (or @t2887 (= @t19 @t3105)))) @t3104 (not (forall @t70 (or @t3103 (= @t19 @t3101))))))) % 1.52/1.79 (define @t3114 () (@var "BOUND_VARIABLE_11271" $$unsorted)) % 1.52/1.79 (define @t3115 () (@var "BOUND_VARIABLE_11269" $$unsorted)) % 1.52/1.79 (define @t3116 () (= @t3115 @t3114)) % 1.52/1.79 (define @t3117 () (not (_ @t143 @t3114))) % 1.52/1.79 (define @t3118 () (not (_ @t143 @t3115))) % 1.52/1.79 (define @t3119 () (@var "BOUND_VARIABLE_11260" $$unsorted)) % 1.52/1.79 (define @t3120 () (not (_ @t143 @t3119))) % 1.52/1.79 (define @t3121 () (@list @t143 @t3119 @t3115 @t3114)) % 1.52/1.79 (define @t3122 () (forall @t3121 (or @t3120 (not (forall @t70 (or @t2887 (= @t19 @t3119)))) @t3118 @t3117 @t3116))) % 1.52/1.79 (define @t3123 () (not (forall @t70 (or @t3103 @t129)))) % 1.52/1.79 (define @t3124 () (_ @t368 @t4)) % 1.52/1.79 (define @t3125 () (forall @t9 (or (not @t3124) @t3123))) % 1.52/1.79 (define @t3126 () (not @t3125)) % 1.52/1.79 (define @t3127 () (forall @t70 (or @t2887 @t129))) % 1.52/1.79 (define @t3128 () (not @t3127)) % 1.52/1.79 (define @t3129 () (forall @t9 (or @t2878 @t3128))) % 1.52/1.79 (define @t3130 () (not @t3129)) % 1.52/1.79 (define @t3131 () (= @t3130 @t3126)) % 1.52/1.79 (define @t3132 () (forall @t378 (or @t3111 @t3131))) % 1.52/1.79 (define @t3133 () (@var "BOUND_VARIABLE_11167" $$unsorted)) % 1.52/1.79 (define @t3134 () (@list @t143 @t3133)) % 1.52/1.79 (define @t3135 () (forall @t3134 (or (not (forall @t70 (= @t2886 (= @t19 @t3133)))) @t3130))) % 1.52/1.79 (define @t3136 () (forall @t135 (or @t2878 @t2887 @t129))) % 1.52/1.79 (define @t3137 () (not @t3136)) % 1.52/1.79 (define @t3138 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 1.52/1.79 (define @t3139 () (not (_ @t143 @t3138))) % 1.52/1.79 (define @t3140 () (or @t3139 @t3137 @t3130)) % 1.52/1.79 (define @t3141 () (forall (@list @t143 @t3138) @t3140)) % 1.52/1.79 (define @t3142 () (=> @t3141 (=> @t3135 (=> @t3122 (=> @t3132 (=> @t3122 (=> @t3113 (=> @t3100 (=> @t3089 (=> @t3081 (=> @t3081 (=> @t3089 (=> @t3086 (=> @t3084 (=> @t3083 (=> @t3082 (=> @t3081 (=> @t3079 (=> @t3077 (=> @t3074 (=> @t3071 (=> @t3068 (=> @t3066 (=> @t3065 (=> @t3063 (=> @t3062 (=> @t3059 (=> @t3057 (=> @t3054 (=> @t3053 (=> @t3052 (=> @t2984 (=> @t3051 (=> @t3050 (=> @t3050 (=> @t3047 (=> @t3045 (=> @t3043 (=> @t3042 (=> @t3038 (=> @t3037 (=> @t3035 (=> @t3034 (=> @t3033 (=> @t3030 (=> @t3027 (=> @t3025 (=> @t3021 (=> @t3019 (=> @t3013 (=> @t3012 (=> @t3011 (=> @t3010 (=> @t3008 (=> @t3007 (=> @t3006 (=> @t3005 (=> @t3002 (=> @t3000 (=> @t2996 (=> @t2993 (=> @t2992 (=> @t2991 (=> @t2989 (=> @t2984 (=> @t2982 (=> @t2980 (=> @t2977 (=> @t2975 (=> @t2973 (=> @t2971 (=> @t2969 (=> @t2967 (=> @t2964 (=> @t2958 (=> @t2952 (=> @t2946 (=> @t2940 (=> @t2931 (=> @t2925 (=> @t2918 (=> @t2917 (=> @t2911 (=> @t2909 (=> @t2905 (=> @t2903 (=> @t2895 (=> @t2892 (=> @t2885 (=> @t2869 (=> @t2868 (=> @t2866 (=> @t2861 (=> @t2859 (=> @t2856 (=> @t2854 (=> @t2853 (=> @t2852 (=> @t2850 (=> @t2847 (=> @t2843 (=> @t2842 (=> @t2831 (=> @t2828 (=> @t2821 (=> @t2818 (=> @t2815 (=> @t2813 (=> @t2812 (=> @t2809 (=> @t2803 (=> @t2797 (=> @t2790 (=> @t2783 (=> @t2781 (=> @t2780 (=> @t2773 (=> @t2772 (=> @t2771 (=> @t2766 (=> @t2760 (=> @t2754 (=> @t2748 (=> @t2747 (=> @t2741 (=> @t2740 (=> @t2735 (=> @t2734 (=> @t2733 (=> @t2733 (=> @t2720 (=> @t2708 (=> @t2702 (=> @t2696 (=> @t2688 (=> @t2675 (=> @t2667 (=> @t2660 (=> @t2640 (=> @t2633 (=> @t2622 (=> @t2626 @t2623)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.52/1.79 (define @t3143 () (tptp.prop2set true)) % 1.52/1.79 (define @t3144 () (tptp.set2prop @t3143)) % 1.52/1.79 (define @t3145 () (=> @t3144 @t3142)) % 1.52/1.79 (define @t3146 () (tptp.in tptp.emptyset @t3143)) % 1.52/1.79 (define @t3147 () (=> @t3146 @t3145)) % 1.52/1.79 (define @t3148 () (tptp.in @t4 tptp.emptyset)) % 1.52/1.79 (define @t3149 () (not @t3148)) % 1.52/1.79 (define @t3150 () (forall @t314 (or @t3149 @t2877))) % 1.52/1.79 (define @t3151 () (=> @t3150 @t3147)) % 1.52/1.79 (define @t3152 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 1.52/1.79 (define @t3153 () (not (_ @t143 @t3152))) % 1.52/1.79 (define @t3154 () (not (tptp.in @t3152 @t2))) % 1.52/1.79 (define @t3155 () (not (= tptp.emptyset @t2899))) % 1.52/1.79 (define @t3156 () (or @t3155 @t3154 @t3153)) % 1.52/1.79 (define @t3157 () (@list @t2 @t143 @t3152)) % 1.52/1.79 (define @t3158 () (forall @t3157 @t3156)) % 1.52/1.79 (define @t3159 () (=> @t3158 @t3151)) % 1.52/1.79 (define @t3160 () (=> @t2984 @t3159)) % 1.52/1.79 (define @t3161 () (tptp.in @t4 @t2838)) % 1.52/1.79 (define @t3162 () (forall @t135 @t3161)) % 1.52/1.79 (define @t3163 () (=> @t3162 @t3160)) % 1.52/1.79 (define @t3164 () (=> @t2967 @t3163)) % 1.52/1.79 (define @t3165 () (tptp.in @t19 @t2585)) % 1.52/1.79 (define @t3166 () (tptp.in @t4 @t2837)) % 1.52/1.79 (define @t3167 () (not @t3166)) % 1.52/1.79 (define @t3168 () (forall @t135 (or @t3167 @t3165))) % 1.52/1.79 (define @t3169 () (=> @t3168 @t3164)) % 1.52/1.79 (define @t3170 () (tptp.in @t19 @t2837)) % 1.52/1.79 (define @t3171 () (forall @t70 @t3170)) % 1.52/1.79 (define @t3172 () (=> @t3171 @t3169)) % 1.52/1.79 (define @t3173 () (forall @t135 (or @t129 (not @t3165)))) % 1.52/1.79 (define @t3174 () (=> @t3173 @t3172)) % 1.52/1.79 (define @t3175 () (forall @t135 (or @t3167 @t129))) % 1.52/1.79 (define @t3176 () (=> @t3175 @t3174)) % 1.52/1.79 (define @t3177 () (forall @t9 @t2125)) % 1.52/1.79 (define @t3178 () (not @t3177)) % 1.52/1.79 (define @t3179 () (forall @t64 (or @t196 @t3178))) % 1.52/1.79 (define @t3180 () (=> @t3179 @t3176)) % 1.52/1.79 (define @t3181 () (@var "BOUND_VARIABLE_10945" $$unsorted)) % 1.52/1.79 (define @t3182 () (not (_ @t143 @t3181))) % 1.52/1.79 (define @t3183 () (forall @t70 (= @t129 @t2886))) % 1.52/1.79 (define @t3184 () (forall @t9 (not @t3183))) % 1.52/1.79 (define @t3185 () (not @t3184)) % 1.52/1.79 (define @t3186 () (@list @t143 @t3181)) % 1.52/1.79 (define @t3187 () (forall @t3186 (or @t3185 @t3182 (not (forall @t70 (or @t2887 (= @t19 @t3181))))))) % 1.52/1.79 (define @t3188 () (=> @t3187 @t3180)) % 1.52/1.79 (define @t3189 () (tptp.powerset @t2914)) % 1.52/1.79 (define @t3190 () (tptp.in @t4 @t3189)) % 1.52/1.79 (define @t3191 () (forall @t46 (or @t2125 @t3190))) % 1.52/1.79 (define @t3192 () (=> @t3191 @t3188)) % 1.52/1.79 (define @t3193 () (tptp.in @t1 @t2)) % 1.52/1.79 (define @t3194 () (not @t3193)) % 1.52/1.79 (define @t3195 () (forall @t41 (or @t2990 @t3194))) % 1.52/1.79 (define @t3196 () (not @t3195)) % 1.52/1.79 (define @t3197 () (forall @t46 (or @t2916 @t3196))) % 1.52/1.79 (define @t3198 () (=> @t3197 @t3192)) % 1.52/1.79 (define @t3199 () (forall @t249 (or @t2990 @t3194 @t2915))) % 1.52/1.79 (define @t3200 () (=> @t3199 @t3198)) % 1.52/1.79 (define @t3201 () (forall @t245 (or @t3061 @t2990 @t2124))) % 1.52/1.79 (define @t3202 () (=> @t3201 @t3200)) % 1.52/1.79 (define @t3203 () (tptp.in tptp.emptyset @t2181)) % 1.52/1.79 (define @t3204 () (forall @t64 @t3203)) % 1.52/1.79 (define @t3205 () (=> @t3204 @t3202)) % 1.52/1.79 (define @t3206 () (=> @t3204 @t3205)) % 1.52/1.79 (define @t3207 () (forall @t9 (or @t2990 @t2124))) % 1.52/1.79 (define @t3208 () (not @t3207)) % 1.52/1.79 (define @t3209 () (forall @t12 (or @t3208 @t3060))) % 1.52/1.79 (define @t3210 () (=> @t3209 @t3206)) % 1.52/1.79 (define @t3211 () (@var "BOUND_VARIABLE_56860" $$unsorted)) % 1.52/1.79 (define @t3212 () (lambda (@list @t3211) true)) % 1.52/1.79 (define @t3213 () (tptp.dsetconstr @t2 @t3212)) % 1.52/1.79 (define @t3214 () (forall @t64 (= @t2 @t3213))) % 1.52/1.79 (define @t3215 () (=> @t3214 @t3210)) % 1.52/1.79 (define @t3216 () (tptp.in @t19 @t3072)) % 1.52/1.79 (define @t3217 () (forall @t28 (or (not @t3216) @t129 @t2888))) % 1.52/1.79 (define @t3218 () (=> @t3217 @t3215)) % 1.52/1.79 (define @t3219 () (=> @t3217 @t3218)) % 1.52/1.79 (define @t3220 () (forall @t28 (or @t2889 @t3216))) % 1.52/1.79 (define @t3221 () (=> @t3220 @t3219)) % 1.52/1.79 (define @t3222 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.52/1.79 (define @t3223 () (tptp.in tptp.emptyset @t3222)) % 1.52/1.79 (define @t3224 () (=> @t221 @t3221)) % 1.52/1.79 (define @t3225 () (tptp.setadjoin @t4 @t19)) % 1.52/1.79 (define @t3226 () (tptp.in @t4 @t3225)) % 1.52/1.79 (define @t3227 () (forall @t135 @t3226)) % 1.52/1.79 (define @t3228 () (=> @t3227 @t3224)) % 1.52/1.79 (define @t3229 () (@var "BOUND_VARIABLE_10786" $$unsorted)) % 1.52/1.79 (define @t3230 () (not (tptp.in @t3229 tptp.emptyset))) % 1.52/1.79 (define @t3231 () (@list @t3229)) % 1.52/1.79 (define @t3232 () (forall @t3231 @t3230)) % 1.52/1.79 (define @t3233 () (=> @t3232 @t3228)) % 1.52/1.79 (define @t3234 () (forall @t159 (or @t2125 @t2878 @t3155))) % 1.52/1.79 (define @t3235 () (=> @t3234 @t3233)) % 1.52/1.79 (define @t3236 () (=> @t3179 @t3235)) % 1.52/1.79 (define @t3237 () (tptp.in @t4 @t2899)) % 1.52/1.79 (define @t3238 () (forall @t159 (or @t2125 (= @t2877 @t3237)))) % 1.52/1.79 (define @t3239 () (=> @t3238 @t3236)) % 1.52/1.79 (define @t3240 () (forall @t64 (or @t3178 @t196))) % 1.52/1.79 (define @t3241 () (=> @t3240 @t3239)) % 1.52/1.79 (define @t3242 () (=> @t3240 @t3241)) % 1.52/1.79 (define @t3243 () (or @t3088 @t3208 @t3)) % 1.52/1.79 (define @t3244 () (forall @t12 @t3243)) % 1.52/1.79 (define @t3245 () (=> @t3244 @t3242)) % 1.52/1.79 (define @t3246 () (@var "BOUND_VARIABLE_10683" $$unsorted)) % 1.52/1.79 (define @t3247 () (not (_ @t143 @t3246))) % 1.52/1.79 (define @t3248 () (forall @t9 @t2878)) % 1.52/1.79 (define @t3249 () (not @t3248)) % 1.52/1.79 (define @t3250 () (@list @t143 @t3246)) % 1.52/1.79 (define @t3251 () (forall @t3250 (or @t3249 @t3247 (not (forall @t70 (or @t2887 (= @t19 @t3246))))))) % 1.52/1.79 (define @t3252 () (=> @t3251 @t3245)) % 1.52/1.79 (define @t3253 () (forall @t9 @t3149)) % 1.52/1.79 (define @t3254 () (=> @t3253 @t3252)) % 1.52/1.79 (define @t3255 () (=> @t3253 @t3254)) % 1.52/1.79 (define @t3256 () (=> @t3253 @t3255)) % 1.52/1.79 (define @t3257 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.52/1.79 (define @t3258 () (forall @t9 @t3257)) % 1.52/1.79 (define @t3259 () (=> @t3258 @t3256)) % 1.52/1.79 (define @t3260 () (not @t3237)) % 1.52/1.79 (define @t3261 () (forall @t159 (or @t3260 @t2877))) % 1.52/1.79 (define @t3262 () (=> @t3261 @t3259)) % 1.52/1.79 (define @t3263 () (forall @t159 (or @t3260 @t2124))) % 1.52/1.79 (define @t3264 () (=> @t3263 @t3262)) % 1.52/1.79 (define @t3265 () (forall @t159 (or @t2125 @t2878 @t3237))) % 1.52/1.79 (define @t3266 () (=> @t3265 @t3264)) % 1.52/1.79 (define @t3267 () (@var "BOUND_VARIABLE_10583" $$unsorted)) % 1.52/1.79 (define @t3268 () (not (_ @t143 @t3267))) % 1.52/1.79 (define @t3269 () (_ @t143 @t3107)) % 1.52/1.79 (define @t3270 () (@list @t143 @t3267)) % 1.52/1.79 (define @t3271 () (forall @t3270 (or @t3269 @t3268 (not (forall @t70 (or @t2887 (= @t19 @t3267))))))) % 1.52/1.79 (define @t3272 () (=> @t3271 @t3266)) % 1.52/1.79 (define @t3273 () (@var "BOUND_VARIABLE_10503" $$unsorted)) % 1.52/1.79 (define @t3274 () (tptp.in @t3273 @t95)) % 1.52/1.79 (define @t3275 () (not (tptp.in @t3273 @t93))) % 1.52/1.79 (define @t3276 () (tptp.in @t4 @t93)) % 1.52/1.79 (define @t3277 () (tptp.in @t93 @t1)) % 1.52/1.79 (define @t3278 () (not @t3277)) % 1.52/1.79 (define @t3279 () (or @t3278 @t3276 @t3275 @t3274)) % 1.52/1.79 (define @t3280 () (@list @t93 @t3273)) % 1.52/1.79 (define @t3281 () (forall @t3280 @t3279)) % 1.52/1.79 (define @t3282 () (not @t3281)) % 1.52/1.79 (define @t3283 () (tptp.in @t19 @t104)) % 1.52/1.79 (define @t3284 () (tptp.in @t19 @t95)) % 1.52/1.79 (define @t3285 () (forall @t70 (or (not @t3284) (not @t3283)))) % 1.52/1.79 (define @t3286 () (not @t3285)) % 1.52/1.79 (define @t3287 () (tptp.in @t4 @t104)) % 1.52/1.79 (define @t3288 () (not @t3287)) % 1.52/1.79 (define @t3289 () (tptp.in @t95 @t1)) % 1.52/1.79 (define @t3290 () (not @t3289)) % 1.52/1.79 (define @t3291 () (not (forall @t112 (or @t3290 @t3288 @t3286 @t3282)))) % 1.52/1.79 (define @t3292 () (@var "BOUND_VARIABLE_10532" $$unsorted)) % 1.52/1.79 (define @t3293 () (not (tptp.in @t3292 @t104))) % 1.52/1.79 (define @t3294 () (forall @t9 (or @t3288 @t2124))) % 1.52/1.79 (define @t3295 () (not @t3294)) % 1.52/1.79 (define @t3296 () (or @t3295 @t3293 @t3291)) % 1.52/1.79 (define @t3297 () (forall (@list @t104 @t3292) @t3296)) % 1.52/1.79 (define @t3298 () (not @t3297)) % 1.52/1.79 (define @t3299 () (@var "BOUND_VARIABLE_10455" $$unsorted)) % 1.52/1.79 (define @t3300 () (tptp.in @t3299 @t104)) % 1.52/1.79 (define @t3301 () (not (tptp.in @t3299 @t95))) % 1.52/1.79 (define @t3302 () (@var "BOUND_VARIABLE_10449" $$unsorted)) % 1.52/1.79 (define @t3303 () (tptp.in @t3302 @t95)) % 1.52/1.79 (define @t3304 () (not (tptp.in @t3302 @t104))) % 1.52/1.79 (define @t3305 () (tptp.in @t104 @t1)) % 1.52/1.79 (define @t3306 () (not @t3305)) % 1.52/1.79 (define @t3307 () (or @t3306 @t3290 @t3304 @t3303 @t3301 @t3300)) % 1.52/1.79 (define @t3308 () (@list @t104 @t95 @t3302 @t3299)) % 1.52/1.79 (define @t3309 () (forall @t3308 @t3307)) % 1.52/1.79 (define @t3310 () (not @t3309)) % 1.52/1.79 (define @t3311 () (forall @t118 (or @t3306 (= @t3287 @t3283)))) % 1.52/1.79 (define @t3312 () (not @t3311)) % 1.52/1.79 (define @t3313 () (forall @t135 (or @t2125 @t2889 @t3312 @t129))) % 1.52/1.79 (define @t3314 () (not @t3313)) % 1.52/1.79 (define @t3315 () (@var "BOUND_VARIABLE_10398" $$unsorted)) % 1.52/1.79 (define @t3316 () (tptp.in @t3315 @t2)) % 1.52/1.79 (define @t3317 () (not (tptp.in @t3315 @t104))) % 1.52/1.79 (define @t3318 () (or @t3306 @t3317 @t3316)) % 1.52/1.79 (define @t3319 () (@list @t104 @t3315)) % 1.52/1.79 (define @t3320 () (forall @t3319 @t3318)) % 1.52/1.79 (define @t3321 () (not @t3320)) % 1.52/1.79 (define @t3322 () (or @t3321 @t3314 @t3310 @t3298)) % 1.52/1.79 (define @t3323 () (forall @t64 (not (forall @t41 @t3322)))) % 1.52/1.79 (define @t3324 () (=> @t3323 @t3272)) % 1.52/1.79 (define @t3325 () (forall @t9 (or @t2990 @t2125))) % 1.52/1.79 (define @t3326 () (not @t3325)) % 1.52/1.79 (define @t3327 () (not (forall @t41 (or @t3194 @t3326)))) % 1.52/1.79 (define @t3328 () (@var "BOUND_VARIABLE_10373" $$unsorted)) % 1.52/1.79 (define @t3329 () (not (tptp.in @t3328 @t2))) % 1.52/1.79 (define @t3330 () (or @t3329 @t3327)) % 1.52/1.79 (define @t3331 () (forall (@list @t2 @t3328) @t3330)) % 1.52/1.79 (define @t3332 () (=> @t3331 @t3324)) % 1.52/1.79 (define @t3333 () (_ @t67 @t19 @t4)) % 1.52/1.79 (define @t3334 () (not (forall @t70 (or @t2889 (not @t3333))))) % 1.52/1.79 (define @t3335 () (forall @t9 (= @t2988 @t3334))) % 1.52/1.79 (define @t3336 () (not (forall @t41 (not @t3335)))) % 1.52/1.79 (define @t3337 () (@var "BOUND_VARIABLE_10263" $$unsorted)) % 1.52/1.79 (define @t3338 () (= @t19 @t3337)) % 1.52/1.79 (define @t3339 () (not (forall @t70 (or @t2167 @t3338)))) % 1.52/1.79 (define @t3340 () (_ @t67 @t4 @t3337)) % 1.52/1.79 (define @t3341 () (@list @t3337)) % 1.52/1.79 (define @t3342 () (not (forall @t3341 (or (not @t3340) @t3339)))) % 1.52/1.79 (define @t3343 () (forall @t9 (or @t2125 @t3342))) % 1.52/1.79 (define @t3344 () (forall @t81 (or (not @t3343) @t3336))) % 1.52/1.79 (define @t3345 () (=> @t3344 @t3332)) % 1.52/1.79 (define @t3346 () (@var "BOUND_VARIABLE_10244" $$unsorted)) % 1.52/1.79 (define @t3347 () (tptp.in @t3346 @t2)) % 1.52/1.79 (define @t3348 () (not (tptp.in @t3346 tptp.omega))) % 1.52/1.79 (define @t3349 () (tptp.setadjoin @t4 @t4)) % 1.52/1.79 (define @t3350 () (tptp.in @t3349 @t2)) % 1.52/1.79 (define @t3351 () (tptp.in @t4 tptp.omega)) % 1.52/1.79 (define @t3352 () (not @t3351)) % 1.52/1.79 (define @t3353 () (forall @t9 (or @t3352 @t2125 @t3350))) % 1.52/1.79 (define @t3354 () (not @t3353)) % 1.52/1.79 (define @t3355 () (tptp.in tptp.emptyset @t2)) % 1.52/1.79 (define @t3356 () (not @t3355)) % 1.52/1.79 (define @t3357 () (or @t3356 @t3354 @t3348 @t3347)) % 1.52/1.79 (define @t3358 () (@list @t2 @t3346)) % 1.52/1.79 (define @t3359 () (forall @t3358 @t3357)) % 1.52/1.79 (define @t3360 () (=> @t3359 @t3345)) % 1.52/1.79 (define @t3361 () (tptp.in @t3349 tptp.omega)) % 1.52/1.79 (define @t3362 () (forall @t9 (or @t3352 @t3361))) % 1.52/1.79 (define @t3363 () (=> @t3362 @t3360)) % 1.52/1.79 (define @t3364 () (tptp.in tptp.emptyset tptp.omega)) % 1.52/1.79 (define @t3365 () (=> @t50 @t3363)) % 1.52/1.79 (define @t3366 () (forall @t46 (= @t3196 @t2915))) % 1.52/1.79 (define @t3367 () (=> @t3366 @t3365)) % 1.52/1.79 (define @t3368 () (forall @t12 (= @t3207 @t3060))) % 1.52/1.79 (define @t3369 () (=> @t3368 @t3367)) % 1.52/1.79 (define @t3370 () (or @t129 @t2888)) % 1.52/1.79 (define @t3371 () (forall @t28 (= @t3216 @t3370))) % 1.52/1.79 (define @t3372 () (=> @t3371 @t3369)) % 1.52/1.79 (define @t3373 () (=> @t3253 @t3372)) % 1.52/1.79 (define @t3374 () (forall @t9 (= @t2124 @t2988))) % 1.52/1.79 (define @t3375 () (forall @t12 (or (not @t3374) @t3))) % 1.52/1.79 (define @t3376 () (=> @t3375 @t3373)) % 1.52/1.79 (define @t3377 () (=> @t2626 (=> true @t2623))) % 1.52/1.79 (define @t3378 () (=> @t2622 @t3377)) % 1.52/1.79 (define @t3379 () (=> true (=> true @t3378))) % 1.52/1.79 (define @t3380 () (=> @t2633 @t3379)) % 1.52/1.79 (define @t3381 () (=> @t2640 @t3380)) % 1.52/1.79 (define @t3382 () (=> @t2660 @t3381)) % 1.52/1.79 (define @t3383 () (=> @t2667 @t3382)) % 1.52/1.79 (define @t3384 () (=> @t2675 @t3383)) % 1.52/1.79 (define @t3385 () (=> @t2688 @t3384)) % 1.52/1.79 (define @t3386 () (=> @t2696 @t3385)) % 1.52/1.79 (define @t3387 () (=> @t2702 @t3386)) % 1.52/1.79 (define @t3388 () (=> @t2708 @t3387)) % 1.52/1.79 (define @t3389 () (=> @t2720 @t3388)) % 1.52/1.79 (define @t3390 () (=> @t2733 @t3389)) % 1.52/1.79 (define @t3391 () (=> @t2733 @t3390)) % 1.52/1.79 (define @t3392 () (=> @t2734 @t3391)) % 1.52/1.79 (define @t3393 () (=> @t2735 @t3392)) % 1.52/1.79 (define @t3394 () (=> @t2740 @t3393)) % 1.52/1.79 (define @t3395 () (=> @t2741 @t3394)) % 1.52/1.79 (define @t3396 () (=> @t2747 @t3395)) % 1.52/1.79 (define @t3397 () (=> @t2748 @t3396)) % 1.52/1.79 (define @t3398 () (=> @t2754 @t3397)) % 1.52/1.79 (define @t3399 () (=> @t2760 @t3398)) % 1.52/1.79 (define @t3400 () (=> @t2766 @t3399)) % 1.52/1.79 (define @t3401 () (=> @t2771 @t3400)) % 1.52/1.79 (define @t3402 () (=> @t2772 @t3401)) % 1.52/1.79 (define @t3403 () (=> @t2773 @t3402)) % 1.52/1.79 (define @t3404 () (=> @t2780 @t3403)) % 1.52/1.79 (define @t3405 () (=> @t2781 @t3404)) % 1.52/1.79 (define @t3406 () (=> @t2783 @t3405)) % 1.52/1.79 (define @t3407 () (=> @t2790 @t3406)) % 1.52/1.79 (define @t3408 () (=> @t2797 @t3407)) % 1.52/1.79 (define @t3409 () (=> @t2803 @t3408)) % 1.52/1.79 (define @t3410 () (=> @t2809 @t3409)) % 1.52/1.79 (define @t3411 () (=> @t2812 (=> true @t3410))) % 1.52/1.79 (define @t3412 () (=> @t2813 @t3411)) % 1.52/1.79 (define @t3413 () (=> @t2815 @t3412)) % 1.52/1.79 (define @t3414 () (=> @t2818 @t3413)) % 1.52/1.79 (define @t3415 () (=> @t2821 @t3414)) % 1.52/1.79 (define @t3416 () (=> @t2828 @t3415)) % 1.52/1.79 (define @t3417 () (=> @t2831 @t3416)) % 1.52/1.79 (define @t3418 () (=> @t2842 @t3417)) % 1.52/1.79 (define @t3419 () (=> @t2843 @t3418)) % 1.52/1.79 (define @t3420 () (=> @t2847 @t3419)) % 1.52/1.79 (define @t3421 () (=> @t2850 @t3420)) % 1.52/1.79 (define @t3422 () (=> @t2852 @t3421)) % 1.52/1.79 (define @t3423 () (=> @t2853 @t3422)) % 1.52/1.79 (define @t3424 () (=> @t2854 @t3423)) % 1.52/1.79 (define @t3425 () (=> @t2856 @t3424)) % 1.52/1.79 (define @t3426 () (=> @t2859 @t3425)) % 1.52/1.79 (define @t3427 () (=> @t2861 @t3426)) % 1.52/1.79 (define @t3428 () (=> @t2866 @t3427)) % 1.52/1.79 (define @t3429 () (=> @t2868 @t3428)) % 1.52/1.79 (define @t3430 () (=> @t2869 @t3429)) % 1.52/1.79 (define @t3431 () (=> @t2885 @t3430)) % 1.52/1.79 (define @t3432 () (=> @t2892 @t3431)) % 1.52/1.79 (define @t3433 () (=> @t2895 @t3432)) % 1.52/1.79 (define @t3434 () (=> @t2903 @t3433)) % 1.52/1.79 (define @t3435 () (=> @t2905 @t3434)) % 1.52/1.79 (define @t3436 () (=> @t2909 @t3435)) % 1.52/1.79 (define @t3437 () (=> @t2911 @t3436)) % 1.52/1.79 (define @t3438 () (=> @t2917 @t3437)) % 1.52/1.79 (define @t3439 () (=> @t2918 @t3438)) % 1.52/1.79 (define @t3440 () (=> @t2925 @t3439)) % 1.52/1.79 (define @t3441 () (=> @t2931 @t3440)) % 1.52/1.79 (define @t3442 () (=> @t2940 @t3441)) % 1.52/1.79 (define @t3443 () (=> @t2946 @t3442)) % 1.52/1.79 (define @t3444 () (=> @t2952 @t3443)) % 1.52/1.79 (define @t3445 () (=> @t2958 @t3444)) % 1.52/1.79 (define @t3446 () (=> @t2964 @t3445)) % 1.52/1.79 (define @t3447 () (=> @t2967 @t3446)) % 1.52/1.79 (define @t3448 () (=> @t2969 @t3447)) % 1.52/1.79 (define @t3449 () (=> @t2971 @t3448)) % 1.52/1.79 (define @t3450 () (=> @t2973 @t3449)) % 1.52/1.79 (define @t3451 () (=> @t2975 @t3450)) % 1.52/1.79 (define @t3452 () (=> @t2977 @t3451)) % 1.52/1.79 (define @t3453 () (=> @t2980 @t3452)) % 1.52/1.79 (define @t3454 () (=> @t2982 @t3453)) % 1.52/1.79 (define @t3455 () (=> @t2984 @t3454)) % 1.52/1.79 (define @t3456 () (=> @t2989 @t3455)) % 1.52/1.79 (define @t3457 () (=> @t2991 @t3456)) % 1.52/1.79 (define @t3458 () (=> @t2992 @t3457)) % 1.52/1.79 (define @t3459 () (=> @t2993 @t3458)) % 1.52/1.79 (define @t3460 () (=> @t2996 @t3459)) % 1.52/1.79 (define @t3461 () (=> @t3000 @t3460)) % 1.52/1.79 (define @t3462 () (=> @t3002 @t3461)) % 1.52/1.79 (define @t3463 () (=> @t3005 @t3462)) % 1.52/1.79 (define @t3464 () (=> @t3006 @t3463)) % 1.52/1.79 (define @t3465 () (=> @t3007 @t3464)) % 1.52/1.79 (define @t3466 () (=> @t3008 @t3465)) % 1.52/1.79 (define @t3467 () (=> @t3010 @t3466)) % 1.52/1.79 (define @t3468 () (=> @t3011 @t3467)) % 1.52/1.79 (define @t3469 () (=> @t3012 @t3468)) % 1.52/1.79 (define @t3470 () (=> @t3013 @t3469)) % 1.52/1.79 (define @t3471 () (=> @t3019 @t3470)) % 1.52/1.79 (define @t3472 () (=> @t3021 @t3471)) % 1.52/1.79 (define @t3473 () (=> @t3025 @t3472)) % 1.52/1.79 (define @t3474 () (=> @t3027 @t3473)) % 1.52/1.79 (define @t3475 () (=> @t3030 @t3474)) % 1.52/1.79 (define @t3476 () (=> @t3033 @t3475)) % 1.52/1.79 (define @t3477 () (=> @t3034 @t3476)) % 1.52/1.79 (define @t3478 () (=> @t3035 @t3477)) % 1.52/1.79 (define @t3479 () (=> @t3037 @t3478)) % 1.52/1.79 (define @t3480 () (=> @t3038 @t3479)) % 1.52/1.79 (define @t3481 () (=> @t3042 @t3480)) % 1.52/1.79 (define @t3482 () (=> @t3043 @t3481)) % 1.52/1.79 (define @t3483 () (=> @t3045 @t3482)) % 1.52/1.79 (define @t3484 () (=> @t3047 @t3483)) % 1.52/1.79 (define @t3485 () (=> @t3050 @t3484)) % 1.52/1.79 (define @t3486 () (=> @t3050 @t3485)) % 1.52/1.79 (define @t3487 () (=> @t3051 @t3486)) % 1.52/1.79 (define @t3488 () (=> @t2984 @t3487)) % 1.52/1.79 (define @t3489 () (=> @t3052 @t3488)) % 1.52/1.79 (define @t3490 () (=> @t3053 @t3489)) % 1.52/1.79 (define @t3491 () (=> @t3054 @t3490)) % 1.52/1.79 (define @t3492 () (=> @t3057 @t3491)) % 1.52/1.79 (define @t3493 () (=> @t3059 @t3492)) % 1.52/1.79 (define @t3494 () (=> @t3062 @t3493)) % 1.52/1.79 (define @t3495 () (=> @t3063 @t3494)) % 1.52/1.79 (define @t3496 () (=> @t3065 @t3495)) % 1.52/1.79 (define @t3497 () (=> @t3066 @t3496)) % 1.52/1.79 (define @t3498 () (=> @t3068 @t3497)) % 1.52/1.79 (define @t3499 () (=> @t3071 @t3498)) % 1.52/1.79 (define @t3500 () (=> @t3074 @t3499)) % 1.52/1.79 (define @t3501 () (=> @t3077 @t3500)) % 1.52/1.79 (define @t3502 () (=> @t3079 @t3501)) % 1.52/1.79 (define @t3503 () (=> @t3081 (=> true @t3502))) % 1.52/1.79 (define @t3504 () (=> @t3082 @t3503)) % 1.52/1.79 (define @t3505 () (=> @t3083 @t3504)) % 1.52/1.79 (define @t3506 () (=> @t3084 @t3505)) % 1.52/1.79 (define @t3507 () (=> @t3086 @t3506)) % 1.52/1.79 (define @t3508 () (=> @t3089 @t3507)) % 1.52/1.79 (define @t3509 () (=> @t3081 @t3508)) % 1.52/1.79 (define @t3510 () (=> @t3081 @t3509)) % 1.52/1.79 (define @t3511 () (=> @t3089 @t3510)) % 1.52/1.79 (define @t3512 () (=> @t3100 @t3511)) % 1.52/1.79 (define @t3513 () (=> @t3113 @t3512)) % 1.52/1.79 (define @t3514 () (=> @t3122 @t3513)) % 1.52/1.79 (define @t3515 () (=> true (=> true @t3514))) % 1.52/1.79 (define @t3516 () (=> true @t3515)) % 1.52/1.79 (define @t3517 () (=> true @t3516)) % 1.52/1.79 (define @t3518 () (=> true @t3517)) % 1.52/1.79 (define @t3519 () (=> @t3132 @t3518)) % 1.52/1.79 (define @t3520 () (=> @t3122 @t3519)) % 1.52/1.79 (define @t3521 () (=> true (=> true @t3520))) % 1.52/1.79 (define @t3522 () (=> @t3135 @t3521)) % 1.52/1.79 (define @t3523 () (=> @t3141 @t3522)) % 1.52/1.79 (define @t3524 () (=> true (=> true @t3523))) % 1.52/1.79 (define @t3525 () (=> true @t3524)) % 1.52/1.79 (define @t3526 () (=> @t3144 @t3525)) % 1.52/1.79 (define @t3527 () (=> @t3146 @t3526)) % 1.52/1.79 (define @t3528 () (=> true (=> true @t3527))) % 1.52/1.79 (define @t3529 () (=> true @t3528)) % 1.52/1.79 (define @t3530 () (=> true @t3529)) % 1.52/1.79 (define @t3531 () (=> @t3150 @t3530)) % 1.52/1.79 (define @t3532 () (=> @t3158 @t3531)) % 1.52/1.79 (define @t3533 () (=> @t2984 @t3532)) % 1.52/1.79 (define @t3534 () (=> @t3162 @t3533)) % 1.52/1.79 (define @t3535 () (=> @t2967 @t3534)) % 1.52/1.79 (define @t3536 () (=> @t3168 @t3535)) % 1.52/1.79 (define @t3537 () (=> @t3171 @t3536)) % 1.52/1.79 (define @t3538 () (=> @t3173 @t3537)) % 1.52/1.79 (define @t3539 () (=> @t3175 @t3538)) % 1.52/1.79 (define @t3540 () (=> @t3179 @t3539)) % 1.52/1.79 (define @t3541 () (=> @t3187 @t3540)) % 1.52/1.79 (define @t3542 () (=> @t3191 @t3541)) % 1.52/1.79 (define @t3543 () (=> @t3197 @t3542)) % 1.52/1.79 (define @t3544 () (=> @t3199 @t3543)) % 1.52/1.79 (define @t3545 () (=> @t3201 @t3544)) % 1.52/1.79 (define @t3546 () (=> @t3204 @t3545)) % 1.52/1.79 (define @t3547 () (=> @t3204 @t3546)) % 1.52/1.79 (define @t3548 () (=> @t3209 @t3547)) % 1.52/1.79 (define @t3549 () (=> @t3214 @t3548)) % 1.52/1.79 (define @t3550 () (=> @t3217 @t3549)) % 1.52/1.79 (define @t3551 () (=> @t3217 @t3550)) % 1.52/1.79 (define @t3552 () (=> @t3220 @t3551)) % 1.52/1.79 (define @t3553 () (=> @t221 @t3552)) % 1.52/1.79 (define @t3554 () (=> @t3227 @t3553)) % 1.52/1.79 (define @t3555 () (=> @t3232 @t3554)) % 1.52/1.79 (define @t3556 () (=> @t3234 @t3555)) % 1.52/1.79 (define @t3557 () (=> @t3179 @t3556)) % 1.52/1.79 (define @t3558 () (=> @t3238 @t3557)) % 1.52/1.79 (define @t3559 () (=> @t3240 @t3558)) % 1.52/1.79 (define @t3560 () (=> @t3240 @t3559)) % 1.52/1.79 (define @t3561 () (=> @t3244 @t3560)) % 1.52/1.79 (define @t3562 () (=> @t3251 @t3561)) % 1.52/1.79 (define @t3563 () (=> @t3253 @t3562)) % 1.52/1.79 (define @t3564 () (=> @t3253 @t3563)) % 1.52/1.79 (define @t3565 () (=> @t3253 @t3564)) % 1.52/1.79 (define @t3566 () (=> @t3258 @t3565)) % 1.52/1.79 (define @t3567 () (=> @t3261 (=> true @t3566))) % 1.52/1.79 (define @t3568 () (=> @t3263 @t3567)) % 1.52/1.79 (define @t3569 () (=> @t3265 @t3568)) % 1.52/1.79 (define @t3570 () (=> @t3271 @t3569)) % 1.52/1.79 (define @t3571 () (=> @t3323 @t3570)) % 1.52/1.79 (define @t3572 () (=> @t3331 @t3571)) % 1.52/1.79 (define @t3573 () (=> @t3344 @t3572)) % 1.52/1.79 (define @t3574 () (=> @t3359 @t3573)) % 1.52/1.79 (define @t3575 () (=> @t3362 @t3574)) % 1.52/1.79 (define @t3576 () (=> @t50 @t3575)) % 1.52/1.79 (define @t3577 () (=> @t3366 @t3576)) % 1.52/1.79 (define @t3578 () (=> @t3368 @t3577)) % 1.52/1.79 (define @t3579 () (=> @t3371 @t3578)) % 1.52/1.79 (define @t3580 () (=> @t3253 @t3579)) % 1.52/1.79 (define @t3581 () (=> @t3375 @t3580)) % 1.52/1.79 (define @t3582 () (or @t2050 @t2049 @t2048 @t2047 @t2046)) % 1.52/1.79 (define @t3583 () (or @t2038 @t3582)) % 1.52/1.79 (define @t3584 () (forall @t2052 @t3583)) % 1.52/1.79 (define @t3585 () (@list @t2042 @t2044 @t2043)) % 1.52/1.79 (define @t3586 () (forall @t3585 @t3583)) % 1.52/1.79 (define @t3587 () (forall @t3585 @t3582)) % 1.52/1.79 (define @t3588 () (@var "BOUND_VARIABLE_17532" $$unsorted)) % 1.52/1.79 (define @t3589 () (@var "BOUND_VARIABLE_17530" $$unsorted)) % 1.52/1.79 (define @t3590 () (or @t2038 @t3587)) % 1.52/1.79 (define @t3591 () (tptp.binunion @t937 @t993)) % 1.52/1.79 (define @t3592 () (tptp.kpair @t3589 @t3588)) % 1.52/1.79 (define @t3593 () (tptp.in @t3592 @t3591)) % 1.52/1.79 (define @t3594 () (not (tptp.in @t3592 @t993))) % 1.52/1.79 (define @t3595 () (not (tptp.in @t3588 @t2))) % 1.52/1.79 (define @t3596 () (not (tptp.in @t3589 @t2))) % 1.52/1.79 (define @t3597 () (tptp.breln1 @t2 @t993)) % 1.52/1.79 (define @t3598 () (not @t3597)) % 1.52/1.79 (define @t3599 () (or @t3598 @t3596 @t3595 @t3594 @t3593)) % 1.52/1.79 (define @t3600 () (@list @t993 @t3589 @t3588)) % 1.52/1.79 (define @t3601 () (forall @t3600 @t3599)) % 1.52/1.79 (define @t3602 () (not @t1558)) % 1.52/1.79 (define @t3603 () (or @t3602 @t3601)) % 1.52/1.79 (define @t3604 () (or @t3596 @t3595 @t3594 @t3593)) % 1.52/1.79 (define @t3605 () (or @t3598 @t3604)) % 1.52/1.79 (define @t3606 () (forall @t3600 @t3605)) % 1.52/1.79 (define @t3607 () (@list @t3589 @t3588)) % 1.52/1.79 (define @t3608 () (forall @t3607 @t3605)) % 1.52/1.79 (define @t3609 () (forall @t3607 @t3604)) % 1.52/1.79 (define @t3610 () (@var "BOUND_VARIABLE_17510" $$unsorted)) % 1.52/1.79 (define @t3611 () (or @t3598 @t3609)) % 1.52/1.79 (define @t3612 () (tptp.kpair @t4 @t3610)) % 1.52/1.79 (define @t3613 () (tptp.in @t3612 @t3591)) % 1.52/1.79 (define @t3614 () (not (tptp.in @t3612 @t993))) % 1.52/1.79 (define @t3615 () (not (tptp.in @t3610 @t2))) % 1.52/1.79 (define @t3616 () (or @t2125 @t3615 @t3614 @t3613)) % 1.52/1.79 (define @t3617 () (@list @t4 @t3610)) % 1.52/1.79 (define @t3618 () (forall @t3617 @t3616)) % 1.52/1.79 (define @t3619 () (not @t1603)) % 1.52/1.79 (define @t3620 () (or @t3619 @t3618)) % 1.52/1.79 (define @t3621 () (or @t3615 @t3614 @t3613)) % 1.52/1.79 (define @t3622 () (or @t2125 @t3621)) % 1.52/1.79 (define @t3623 () (forall @t3617 @t3622)) % 1.52/1.79 (define @t3624 () (@list @t3610)) % 1.52/1.79 (define @t3625 () (forall @t3624 @t3622)) % 1.52/1.79 (define @t3626 () (forall @t3624 @t3621)) % 1.52/1.79 (define @t3627 () (@list @t19)) % 1.52/1.79 (define @t3628 () (or @t2125 @t3626)) % 1.52/1.79 (define @t3629 () (tptp.in @t2768 @t3591)) % 1.52/1.79 (define @t3630 () (tptp.in @t2768 @t993)) % 1.52/1.79 (define @t3631 () (not @t3630)) % 1.52/1.79 (define @t3632 () (forall @t70 (or @t2889 @t3631 @t3629))) % 1.52/1.79 (define @t3633 () (or @t197 @t3632)) % 1.52/1.79 (define @t3634 () (_ tptp.in @t2768)) % 1.52/1.79 (define @t3635 () (not @t995)) % 1.52/1.79 (define @t3636 () (not @t21)) % 1.52/1.79 (define @t3637 () (or @t3636 @t3635 @t1696)) % 1.52/1.79 (define @t3638 () (=> tptp.breln1unionIR @t2041)) % 1.52/1.79 (define @t3639 () (or @t2061 @t2060 @t2059 @t2058 @t2057)) % 1.52/1.79 (define @t3640 () (or @t2038 @t3639)) % 1.52/1.79 (define @t3641 () (forall @t2063 @t3640)) % 1.52/1.79 (define @t3642 () (@list @t2053 @t2055 @t2054)) % 1.52/1.79 (define @t3643 () (forall @t3642 @t3640)) % 1.52/1.79 (define @t3644 () (forall @t3642 @t3639)) % 1.52/1.79 (define @t3645 () (@var "BOUND_VARIABLE_17452" $$unsorted)) % 1.52/1.79 (define @t3646 () (@var "BOUND_VARIABLE_17450" $$unsorted)) % 1.52/1.79 (define @t3647 () (or @t2038 @t3644)) % 1.52/1.79 (define @t3648 () (tptp.kpair @t3646 @t3645)) % 1.52/1.79 (define @t3649 () (tptp.in @t3648 @t3591)) % 1.52/1.79 (define @t3650 () (not (tptp.in @t3648 @t937))) % 1.52/1.79 (define @t3651 () (not (tptp.in @t3645 @t2))) % 1.52/1.79 (define @t3652 () (not (tptp.in @t3646 @t2))) % 1.52/1.79 (define @t3653 () (or @t3598 @t3652 @t3651 @t3650 @t3649)) % 1.52/1.79 (define @t3654 () (@list @t993 @t3646 @t3645)) % 1.52/1.79 (define @t3655 () (forall @t3654 @t3653)) % 1.52/1.79 (define @t3656 () (or @t3602 @t3655)) % 1.52/1.79 (define @t3657 () (or @t3652 @t3651 @t3650 @t3649)) % 1.52/1.79 (define @t3658 () (or @t3598 @t3657)) % 1.52/1.79 (define @t3659 () (forall @t3654 @t3658)) % 1.52/1.79 (define @t3660 () (@list @t3646 @t3645)) % 1.52/1.79 (define @t3661 () (forall @t3660 @t3658)) % 1.52/1.79 (define @t3662 () (forall @t3660 @t3657)) % 1.52/1.79 (define @t3663 () (@var "BOUND_VARIABLE_17430" $$unsorted)) % 1.52/1.79 (define @t3664 () (or @t3598 @t3662)) % 1.52/1.79 (define @t3665 () (tptp.kpair @t4 @t3663)) % 1.52/1.79 (define @t3666 () (tptp.in @t3665 @t3591)) % 1.52/1.79 (define @t3667 () (not (tptp.in @t3665 @t937))) % 1.52/1.79 (define @t3668 () (not (tptp.in @t3663 @t2))) % 1.52/1.79 (define @t3669 () (or @t2125 @t3668 @t3667 @t3666)) % 1.52/1.79 (define @t3670 () (@list @t4 @t3663)) % 1.52/1.79 (define @t3671 () (forall @t3670 @t3669)) % 1.52/1.79 (define @t3672 () (or @t3619 @t3671)) % 1.52/1.79 (define @t3673 () (or @t3668 @t3667 @t3666)) % 1.52/1.79 (define @t3674 () (or @t2125 @t3673)) % 1.52/1.79 (define @t3675 () (forall @t3670 @t3674)) % 1.52/1.79 (define @t3676 () (@list @t3663)) % 1.52/1.79 (define @t3677 () (forall @t3676 @t3674)) % 1.52/1.79 (define @t3678 () (forall @t3676 @t3673)) % 1.52/1.79 (define @t3679 () (or @t2125 @t3678)) % 1.52/1.79 (define @t3680 () (tptp.in @t2768 @t937)) % 1.52/1.79 (define @t3681 () (not @t3680)) % 1.52/1.79 (define @t3682 () (forall @t70 (or @t2889 @t3681 @t3629))) % 1.52/1.79 (define @t3683 () (or @t197 @t3682)) % 1.52/1.79 (define @t3684 () (not @t941)) % 1.52/1.79 (define @t3685 () (or @t3636 @t3684 @t1696)) % 1.52/1.79 (define @t3686 () (=> tptp.breln1unionIL @t3638)) % 1.52/1.79 (define @t3687 () (or @t2066 @t2065)) % 1.52/1.79 (define @t3688 () (or @t2038 @t3687)) % 1.52/1.79 (define @t3689 () (forall @t2068 @t3688)) % 1.52/1.79 (define @t3690 () (@list @t2064)) % 1.52/1.79 (define @t3691 () (forall @t3690 @t3688)) % 1.52/1.79 (define @t3692 () (forall @t3690 @t3687)) % 1.52/1.79 (define @t3693 () (@list @t993)) % 1.52/1.79 (define @t3694 () (or @t2038 @t3692)) % 1.52/1.79 (define @t3695 () (tptp.breln1 @t2 @t3591)) % 1.52/1.79 (define @t3696 () (forall @t1003 (or @t3598 @t3695))) % 1.52/1.79 (define @t3697 () (or @t3602 @t3696)) % 1.52/1.79 (define @t3698 () (or @t3619 @t1691)) % 1.52/1.79 (define @t3699 () (=> tptp.breln1unionprop @t3686)) % 1.52/1.79 (define @t3700 () (or @t2078 @t2077 @t2076 @t2075 @t2074)) % 1.52/1.79 (define @t3701 () (or @t2038 @t3700)) % 1.52/1.79 (define @t3702 () (forall @t2080 @t3701)) % 1.52/1.79 (define @t3703 () (@list @t2069 @t2071 @t2070)) % 1.52/1.79 (define @t3704 () (forall @t3703 @t3701)) % 1.52/1.79 (define @t3705 () (forall @t3703 @t3700)) % 1.52/1.79 (define @t3706 () (@var "BOUND_VARIABLE_17310" $$unsorted)) % 1.52/1.79 (define @t3707 () (@var "BOUND_VARIABLE_17308" $$unsorted)) % 1.52/1.79 (define @t3708 () (or @t2038 @t3705)) % 1.52/1.79 (define @t3709 () (not (forall @t1067 (or @t2073 (not (tptp.in (tptp.kpair @t3707 @t289) @t937)) (not (tptp.in (tptp.kpair @t289 @t3706) @t993)))))) % 1.52/1.79 (define @t3710 () (tptp.breln1compset @t2 @t937 @t993)) % 1.52/1.79 (define @t3711 () (not (tptp.in (tptp.kpair @t3707 @t3706) @t3710))) % 1.52/1.79 (define @t3712 () (not (tptp.in @t3706 @t2))) % 1.52/1.79 (define @t3713 () (not (tptp.in @t3707 @t2))) % 1.52/1.79 (define @t3714 () (or @t3598 @t3713 @t3712 @t3711 @t3709)) % 1.52/1.79 (define @t3715 () (@list @t993 @t3707 @t3706)) % 1.52/1.79 (define @t3716 () (forall @t3715 @t3714)) % 1.52/1.79 (define @t3717 () (or @t3602 @t3716)) % 1.52/1.79 (define @t3718 () (or @t3713 @t3712 @t3711 @t3709)) % 1.52/1.79 (define @t3719 () (or @t3598 @t3718)) % 1.52/1.79 (define @t3720 () (forall @t3715 @t3719)) % 1.52/1.79 (define @t3721 () (@list @t3707 @t3706)) % 1.52/1.79 (define @t3722 () (forall @t3721 @t3719)) % 1.52/1.79 (define @t3723 () (forall @t3721 @t3718)) % 1.52/1.79 (define @t3724 () (@var "BOUND_VARIABLE_17283" $$unsorted)) % 1.52/1.79 (define @t3725 () (or @t3598 @t3723)) % 1.52/1.79 (define @t3726 () (tptp.kpair @t4 @t289)) % 1.52/1.79 (define @t3727 () (tptp.in @t3726 @t937)) % 1.52/1.79 (define @t3728 () (not @t3727)) % 1.52/1.79 (define @t3729 () (not (forall @t1067 (or @t2073 @t3728 (not (tptp.in (tptp.kpair @t289 @t3724) @t993)))))) % 1.52/1.79 (define @t3730 () (not (tptp.in (tptp.kpair @t4 @t3724) @t3710))) % 1.52/1.79 (define @t3731 () (not (tptp.in @t3724 @t2))) % 1.52/1.79 (define @t3732 () (or @t2125 @t3731 @t3730 @t3729)) % 1.52/1.79 (define @t3733 () (@list @t4 @t3724)) % 1.52/1.79 (define @t3734 () (forall @t3733 @t3732)) % 1.52/1.79 (define @t3735 () (or @t3619 @t3734)) % 1.52/1.79 (define @t3736 () (or @t3731 @t3730 @t3729)) % 1.52/1.79 (define @t3737 () (or @t2125 @t3736)) % 1.52/1.79 (define @t3738 () (forall @t3733 @t3737)) % 1.52/1.79 (define @t3739 () (@list @t3724)) % 1.52/1.79 (define @t3740 () (forall @t3739 @t3737)) % 1.52/1.79 (define @t3741 () (forall @t3739 @t3736)) % 1.52/1.79 (define @t3742 () (or @t2125 @t3741)) % 1.52/1.79 (define @t3743 () (tptp.kpair @t289 @t19)) % 1.52/1.79 (define @t3744 () (tptp.in @t3743 @t993)) % 1.52/1.79 (define @t3745 () (forall @t1067 (or @t2073 @t3728 (not @t3744)))) % 1.52/1.79 (define @t3746 () (not @t3745)) % 1.52/1.79 (define @t3747 () (tptp.in @t2768 @t3710)) % 1.52/1.79 (define @t3748 () (forall @t70 (or @t2889 (not @t3747) @t3746))) % 1.52/1.79 (define @t3749 () (or @t197 @t3748)) % 1.52/1.79 (define @t3750 () (not @t1645)) % 1.52/1.79 (define @t3751 () (or @t3636 @t3750 @t3746)) % 1.52/1.79 (define @t3752 () (=> @t1645 @t3746)) % 1.52/1.79 (define @t3753 () (not false)) % 1.52/1.79 (define @t3754 () (and @t3753 @t3746)) % 1.52/1.79 (define @t3755 () (or @t3754 false)) % 1.52/1.79 (define @t3756 () (and @t1063 @t3746)) % 1.52/1.79 (define @t3757 () (not (= @t173 false))) % 1.52/1.79 (define @t3758 () (not @t1063)) % 1.52/1.79 (define @t3759 () (or @t173 @t3756 @t173)) % 1.52/1.79 (define @t3760 () (or @t3756 @t173)) % 1.52/1.79 (define @t3761 () (or @t173 @t3745)) % 1.52/1.79 (define @t3762 () (not @t1647)) % 1.52/1.79 (define @t3763 () (not @t1650)) % 1.52/1.79 (define @t3764 () (not @t1652)) % 1.52/1.79 (define @t3765 () (or @t3764 @t3763 @t3762)) % 1.52/1.79 (define @t3766 () (forall @t1067 @t3765)) % 1.52/1.79 (define @t3767 () (or @t173 @t3766)) % 1.52/1.79 (define @t3768 () (or @t173 @t3765)) % 1.52/1.79 (define @t3769 () (or @t3764 @t3763 @t3762 @t173)) % 1.52/1.79 (define @t3770 () (or @t3763 @t3762 @t173)) % 1.52/1.79 (define @t3771 () (=> tptp.breln1compEex @t3699)) % 1.52/1.79 (define @t3772 () (forall @t1067 (not @t1663))) % 1.52/1.79 (define @t3773 () (not @t3772)) % 1.52/1.79 (define @t3774 () (=> tptp.breln1compE @t3771)) % 1.52/1.79 (define @t3775 () (or @t2092 @t2091 @t2090 @t2089 @t2088 @t2087 @t2085)) % 1.52/1.79 (define @t3776 () (or @t2038 @t3775)) % 1.52/1.79 (define @t3777 () (forall @t2094 @t3776)) % 1.52/1.79 (define @t3778 () (@list @t2082 @t2086 @t2083 @t2084)) % 1.52/1.79 (define @t3779 () (forall @t3778 @t3776)) % 1.52/1.79 (define @t3780 () (forall @t3778 @t3775)) % 1.52/1.79 (define @t3781 () (@var "BOUND_VARIABLE_17202" $$unsorted)) % 1.52/1.79 (define @t3782 () (@var "BOUND_VARIABLE_17200" $$unsorted)) % 1.52/1.79 (define @t3783 () (@var "BOUND_VARIABLE_17198" $$unsorted)) % 1.52/1.79 (define @t3784 () (or @t2038 @t3780)) % 1.52/1.79 (define @t3785 () (not (tptp.in (tptp.kpair @t3781 @t3782) @t993))) % 1.52/1.79 (define @t3786 () (not (tptp.in (tptp.kpair @t3783 @t3781) @t937))) % 1.52/1.79 (define @t3787 () (not (tptp.in @t3781 @t2))) % 1.52/1.79 (define @t3788 () (tptp.in (tptp.kpair @t3783 @t3782) @t3710)) % 1.52/1.79 (define @t3789 () (not (tptp.in @t3782 @t2))) % 1.52/1.79 (define @t3790 () (not (tptp.in @t3783 @t2))) % 1.52/1.79 (define @t3791 () (or @t3598 @t3790 @t3789 @t3788 @t3787 @t3786 @t3785)) % 1.52/1.79 (define @t3792 () (@list @t993 @t3783 @t3782 @t3781)) % 1.52/1.79 (define @t3793 () (forall @t3792 @t3791)) % 1.52/1.79 (define @t3794 () (or @t3602 @t3793)) % 1.52/1.79 (define @t3795 () (or @t3790 @t3789 @t3788 @t3787 @t3786 @t3785)) % 1.52/1.79 (define @t3796 () (or @t3598 @t3795)) % 1.52/1.79 (define @t3797 () (forall @t3792 @t3796)) % 1.52/1.79 (define @t3798 () (@list @t3783 @t3782 @t3781)) % 1.52/1.79 (define @t3799 () (forall @t3798 @t3796)) % 1.52/1.79 (define @t3800 () (forall @t3798 @t3795)) % 1.52/1.79 (define @t3801 () (@var "BOUND_VARIABLE_17172" $$unsorted)) % 1.52/1.79 (define @t3802 () (@var "BOUND_VARIABLE_17170" $$unsorted)) % 1.52/1.79 (define @t3803 () (or @t3598 @t3800)) % 1.52/1.79 (define @t3804 () (not (tptp.in (tptp.kpair @t3801 @t3802) @t993))) % 1.52/1.79 (define @t3805 () (not (tptp.in (tptp.kpair @t4 @t3801) @t937))) % 1.52/1.79 (define @t3806 () (not (tptp.in @t3801 @t2))) % 1.52/1.79 (define @t3807 () (tptp.in (tptp.kpair @t4 @t3802) @t3710)) % 1.52/1.79 (define @t3808 () (not (tptp.in @t3802 @t2))) % 1.52/1.79 (define @t3809 () (or @t2125 @t3808 @t3807 @t3806 @t3805 @t3804)) % 1.52/1.79 (define @t3810 () (@list @t4 @t3802 @t3801)) % 1.52/1.79 (define @t3811 () (forall @t3810 @t3809)) % 1.52/1.79 (define @t3812 () (or @t3619 @t3811)) % 1.52/1.79 (define @t3813 () (or @t3808 @t3807 @t3806 @t3805 @t3804)) % 1.52/1.79 (define @t3814 () (or @t2125 @t3813)) % 1.52/1.79 (define @t3815 () (forall @t3810 @t3814)) % 1.52/1.79 (define @t3816 () (@list @t3802 @t3801)) % 1.52/1.79 (define @t3817 () (forall @t3816 @t3814)) % 1.52/1.79 (define @t3818 () (forall @t3816 @t3813)) % 1.52/1.79 (define @t3819 () (@var "BOUND_VARIABLE_17148" $$unsorted)) % 1.52/1.79 (define @t3820 () (or @t2125 @t3818)) % 1.52/1.79 (define @t3821 () (not (tptp.in (tptp.kpair @t3819 @t19) @t993))) % 1.52/1.79 (define @t3822 () (not (tptp.in (tptp.kpair @t4 @t3819) @t937))) % 1.52/1.79 (define @t3823 () (not (tptp.in @t3819 @t2))) % 1.52/1.79 (define @t3824 () (or @t2889 @t3747 @t3823 @t3822 @t3821)) % 1.52/1.79 (define @t3825 () (@list @t19 @t3819)) % 1.52/1.79 (define @t3826 () (forall @t3825 @t3824)) % 1.52/1.79 (define @t3827 () (or @t197 @t3826)) % 1.52/1.79 (define @t3828 () (or @t3823 @t3822 @t3821)) % 1.52/1.79 (define @t3829 () (or @t2889 @t3747 @t3828)) % 1.52/1.79 (define @t3830 () (forall @t3825 @t3829)) % 1.52/1.79 (define @t3831 () (@list @t3819)) % 1.52/1.79 (define @t3832 () (forall @t3831 @t3829)) % 1.52/1.79 (define @t3833 () (forall @t3831 @t3828)) % 1.52/1.79 (define @t3834 () (or @t2889 @t3747 @t3833)) % 1.52/1.79 (define @t3835 () (or @t3636 @t1645 @t3745)) % 1.52/1.79 (define @t3836 () (or @t1645 @t3745)) % 1.52/1.79 (define @t3837 () (or @t1645 @t3766)) % 1.52/1.79 (define @t3838 () (or @t1645 @t3765)) % 1.52/1.79 (define @t3839 () (or @t3764 @t3763 @t3762 @t1645)) % 1.52/1.79 (define @t3840 () (or @t3763 @t3762 @t1645)) % 1.52/1.79 (define @t3841 () (=> tptp.breln1compI @t3774)) % 1.52/1.79 (define @t3842 () (or @t2097 @t2096)) % 1.52/1.79 (define @t3843 () (or @t2038 @t3842)) % 1.52/1.79 (define @t3844 () (forall @t2099 @t3843)) % 1.52/1.79 (define @t3845 () (@list @t2095)) % 1.52/1.79 (define @t3846 () (forall @t3845 @t3843)) % 1.52/1.79 (define @t3847 () (forall @t3845 @t3842)) % 1.52/1.79 (define @t3848 () (or @t2038 @t3847)) % 1.52/1.79 (define @t3849 () (tptp.breln1 @t2 @t3710)) % 1.52/1.79 (define @t3850 () (forall @t1003 (or @t3598 @t3849))) % 1.52/1.79 (define @t3851 () (or @t3602 @t3850)) % 1.52/1.79 (define @t3852 () (or @t3619 @t1640)) % 1.52/1.79 (define @t3853 () (=> tptp.breln1compprop @t3841)) % 1.52/1.79 (define @t3854 () (or @t2106 @t2105 @t2104 @t2102)) % 1.52/1.79 (define @t3855 () (or @t2038 @t3854)) % 1.52/1.79 (define @t3856 () (forall @t2108 @t3855)) % 1.52/1.79 (define @t3857 () (@list @t2101 @t2100)) % 1.52/1.79 (define @t3858 () (forall @t3857 @t3855)) % 1.52/1.79 (define @t3859 () (forall @t3857 @t3854)) % 1.52/1.79 (define @t3860 () (@var "BOUND_VARIABLE_17046" $$unsorted)) % 1.52/1.79 (define @t3861 () (or @t2038 @t3859)) % 1.52/1.79 (define @t3862 () (tptp.in (tptp.kpair @t4 @t3860) @t937)) % 1.52/1.79 (define @t3863 () (not (tptp.in (tptp.kpair @t3860 @t4) @t2103))) % 1.52/1.79 (define @t3864 () (not (tptp.in @t3860 @t2))) % 1.52/1.79 (define @t3865 () (or @t2125 @t3864 @t3863 @t3862)) % 1.52/1.79 (define @t3866 () (@list @t4 @t3860)) % 1.52/1.79 (define @t3867 () (forall @t3866 @t3865)) % 1.52/1.79 (define @t3868 () (or @t3602 @t3867)) % 1.52/1.79 (define @t3869 () (or @t3864 @t3863 @t3862)) % 1.52/1.79 (define @t3870 () (or @t2125 @t3869)) % 1.52/1.79 (define @t3871 () (forall @t3866 @t3870)) % 1.52/1.79 (define @t3872 () (@list @t3860)) % 1.52/1.79 (define @t3873 () (forall @t3872 @t3870)) % 1.52/1.79 (define @t3874 () (forall @t3872 @t3869)) % 1.52/1.79 (define @t3875 () (or @t2125 @t3874)) % 1.52/1.79 (define @t3876 () (tptp.kpair @t19 @t4)) % 1.52/1.79 (define @t3877 () (tptp.in @t3876 @t2103)) % 1.52/1.79 (define @t3878 () (forall @t70 (or @t2889 (not @t3877) @t3680))) % 1.52/1.79 (define @t3879 () (or @t197 @t3878)) % 1.52/1.79 (define @t3880 () (not @t1624)) % 1.52/1.79 (define @t3881 () (or @t3636 @t3880 @t941)) % 1.52/1.79 (define @t3882 () (=> tptp.breln1invE @t3853)) % 1.52/1.79 (define @t3883 () (or @t2114 @t2113 @t2112 @t2111)) % 1.52/1.79 (define @t3884 () (or @t2038 @t3883)) % 1.52/1.79 (define @t3885 () (forall @t2116 @t3884)) % 1.52/1.79 (define @t3886 () (@list @t2109 @t2110)) % 1.52/1.79 (define @t3887 () (forall @t3886 @t3884)) % 1.52/1.79 (define @t3888 () (forall @t3886 @t3883)) % 1.52/1.79 (define @t3889 () (@var "BOUND_VARIABLE_16991" $$unsorted)) % 1.52/1.79 (define @t3890 () (or @t2038 @t3888)) % 1.52/1.79 (define @t3891 () (tptp.in (tptp.kpair @t3889 @t4) @t2103)) % 1.52/1.79 (define @t3892 () (not (tptp.in (tptp.kpair @t4 @t3889) @t937))) % 1.52/1.79 (define @t3893 () (not (tptp.in @t3889 @t2))) % 1.52/1.79 (define @t3894 () (or @t2125 @t3893 @t3892 @t3891)) % 1.52/1.79 (define @t3895 () (@list @t4 @t3889)) % 1.52/1.79 (define @t3896 () (forall @t3895 @t3894)) % 1.52/1.79 (define @t3897 () (or @t3602 @t3896)) % 1.52/1.79 (define @t3898 () (or @t3893 @t3892 @t3891)) % 1.52/1.79 (define @t3899 () (or @t2125 @t3898)) % 1.52/1.79 (define @t3900 () (forall @t3895 @t3899)) % 1.52/1.79 (define @t3901 () (@list @t3889)) % 1.52/1.79 (define @t3902 () (forall @t3901 @t3899)) % 1.52/1.79 (define @t3903 () (forall @t3901 @t3898)) % 1.52/1.79 (define @t3904 () (or @t2125 @t3903)) % 1.52/1.79 (define @t3905 () (forall @t70 (or @t2889 @t3681 @t3877))) % 1.52/1.79 (define @t3906 () (or @t197 @t3905)) % 1.52/1.79 (define @t3907 () (or @t3636 @t3684 @t1624)) % 1.52/1.79 (define @t3908 () (=> tptp.breln1invI @t3882)) % 1.52/1.79 (define @t3909 () (or @t3602 @t1620)) % 1.52/1.79 (define @t3910 () (=> tptp.breln1invprop @t3908)) % 1.52/1.79 (define @t3911 () (or @t2134 @t2133 @t2127 @t2119)) % 1.52/1.79 (define @t3912 () (or @t2038 @t3911)) % 1.52/1.79 (define @t3913 () (forall @t2136 @t3912)) % 1.52/1.79 (define @t3914 () (@list @t2118)) % 1.52/1.79 (define @t3915 () (forall @t3914 @t3912)) % 1.52/1.79 (define @t3916 () (forall @t3914 @t3911)) % 1.52/1.79 (define @t3917 () (or @t2038 @t3916)) % 1.52/1.79 (define @t3918 () (not (tptp.in @t2121 @t993))) % 1.52/1.79 (define @t3919 () (or @t2125 @t2123 @t3918 @t2122)) % 1.52/1.79 (define @t3920 () (forall @t2126 @t3919)) % 1.52/1.79 (define @t3921 () (not @t3920)) % 1.52/1.79 (define @t3922 () (tptp.in @t2129 @t993)) % 1.52/1.79 (define @t3923 () (or @t2125 @t2131 @t2130 @t3922)) % 1.52/1.79 (define @t3924 () (forall @t2132 @t3923)) % 1.52/1.79 (define @t3925 () (not @t3924)) % 1.52/1.79 (define @t3926 () (forall @t1003 (or @t3598 @t3925 @t3921 @t1008))) % 1.52/1.79 (define @t3927 () (or @t3602 @t3926)) % 1.52/1.79 (define @t3928 () (or @t3619 @t3925 @t3921 @t1008)) % 1.52/1.79 (define @t3929 () (or @t3925 @t3921 @t1008)) % 1.52/1.79 (define @t3930 () (=> @t3920 @t1008)) % 1.52/1.79 (define @t3931 () (=> @t3924 @t3930)) % 1.52/1.79 (define @t3932 () (or @t2123 @t3918 @t2122)) % 1.52/1.79 (define @t3933 () (or @t2125 @t3932)) % 1.52/1.79 (define @t3934 () (forall @t2126 @t3933)) % 1.52/1.79 (define @t3935 () (@list @t2120)) % 1.52/1.79 (define @t3936 () (forall @t3935 @t3933)) % 1.52/1.79 (define @t3937 () (forall @t3935 @t3932)) % 1.52/1.79 (define @t3938 () (or @t2125 @t3937)) % 1.52/1.79 (define @t3939 () (forall @t70 (or @t2889 @t3631 @t3680))) % 1.52/1.79 (define @t3940 () (or @t197 @t3939)) % 1.52/1.79 (define @t3941 () (or @t3636 @t3635 @t941)) % 1.52/1.79 (define @t3942 () (or @t3635 @t941)) % 1.52/1.79 (define @t3943 () (or @t2131 @t2130 @t3922)) % 1.52/1.79 (define @t3944 () (or @t2125 @t3943)) % 1.52/1.79 (define @t3945 () (forall @t2132 @t3944)) % 1.52/1.79 (define @t3946 () (@list @t2128)) % 1.52/1.79 (define @t3947 () (forall @t3946 @t3944)) % 1.52/1.79 (define @t3948 () (forall @t3946 @t3943)) % 1.52/1.79 (define @t3949 () (or @t2125 @t3948)) % 1.52/1.79 (define @t3950 () (forall @t70 (or @t2889 @t3681 @t3630))) % 1.52/1.79 (define @t3951 () (or @t197 @t3950)) % 1.52/1.79 (define @t3952 () (or @t3636 @t3684 @t995)) % 1.52/1.79 (define @t3953 () (or @t3684 @t995)) % 1.52/1.79 (define @t3954 () (=> tptp.eqbreln1 @t3910)) % 1.52/1.79 (define @t3955 () (or @t2140 @t2139 @t2138)) % 1.52/1.79 (define @t3956 () (or @t2038 @t3955)) % 1.52/1.79 (define @t3957 () (forall @t2142 @t3956)) % 1.52/1.79 (define @t3958 () (@list @t2137)) % 1.52/1.79 (define @t3959 () (forall @t3958 @t3956)) % 1.52/1.79 (define @t3960 () (forall @t3958 @t3955)) % 1.52/1.79 (define @t3961 () (or @t2038 @t3960)) % 1.52/1.79 (define @t3962 () (tptp.subset @t937 @t993)) % 1.52/1.79 (define @t3963 () (forall @t1003 (or @t3598 @t3925 @t3962))) % 1.52/1.79 (define @t3964 () (or @t3602 @t3963)) % 1.52/1.79 (define @t3965 () (or @t3619 @t3925 @t994)) % 1.52/1.79 (define @t3966 () (=> @t3924 @t994)) % 1.52/1.79 (define @t3967 () (=> tptp.subbreln1 @t3954)) % 1.52/1.79 (define @t3968 () (or @t2152 @t2146 @t2145)) % 1.52/1.79 (define @t3969 () (or @t2038 @t3968)) % 1.52/1.79 (define @t3970 () (forall @t2154 @t3969)) % 1.52/1.79 (define @t3971 () (@list @t2144 @t2143)) % 1.52/1.79 (define @t3972 () (forall @t3971 @t3969)) % 1.52/1.79 (define @t3973 () (forall @t3971 @t3968)) % 1.52/1.79 (define @t3974 () (@var "BOUND_VARIABLE_16668" $$unsorted)) % 1.52/1.79 (define @t3975 () (or @t2038 @t3973)) % 1.52/1.79 (define @t3976 () (_ @t143 @t3974)) % 1.52/1.79 (define @t3977 () (not (tptp.in @t3974 @t937))) % 1.52/1.79 (define @t3978 () (_ @t143 @t2148)) % 1.52/1.79 (define @t3979 () (or @t2125 @t2150 @t2149 @t3978)) % 1.52/1.79 (define @t3980 () (forall @t2151 @t3979)) % 1.52/1.79 (define @t3981 () (not @t3980)) % 1.52/1.79 (define @t3982 () (or @t3981 @t3977 @t3976)) % 1.52/1.79 (define @t3983 () (@list @t143 @t3974)) % 1.52/1.79 (define @t3984 () (forall @t3983 @t3982)) % 1.52/1.79 (define @t3985 () (or @t3602 @t3984)) % 1.52/1.79 (define @t3986 () (or @t3977 @t3976)) % 1.52/1.79 (define @t3987 () (or @t3981 @t3986)) % 1.52/1.79 (define @t3988 () (forall @t3983 @t3987)) % 1.52/1.79 (define @t3989 () (@list @t3974)) % 1.52/1.79 (define @t3990 () (forall @t3989 @t3987)) % 1.52/1.79 (define @t3991 () (forall @t3989 @t3986)) % 1.52/1.79 (define @t3992 () (@list @t4)) % 1.52/1.79 (define @t3993 () (or @t3981 @t3991)) % 1.52/1.79 (define @t3994 () (tptp.in @t4 @t937)) % 1.52/1.79 (define @t3995 () (forall @t9 (or (not @t3994) @t2877))) % 1.52/1.79 (define @t3996 () (not @t938)) % 1.52/1.79 (define @t3997 () (or @t3996 @t144)) % 1.52/1.79 (define @t3998 () (or @t2150 @t2149 @t3978)) % 1.52/1.79 (define @t3999 () (or @t2125 @t3998)) % 1.52/1.79 (define @t4000 () (forall @t2151 @t3999)) % 1.52/1.79 (define @t4001 () (@list @t2147)) % 1.52/1.79 (define @t4002 () (forall @t4001 @t3999)) % 1.52/1.79 (define @t4003 () (forall @t4001 @t3998)) % 1.52/1.79 (define @t4004 () (or @t2125 @t4003)) % 1.52/1.79 (define @t4005 () (_ @t143 @t2768)) % 1.52/1.79 (define @t4006 () (forall @t70 (or @t2889 @t3681 @t4005))) % 1.52/1.79 (define @t4007 () (or @t197 @t4006)) % 1.52/1.79 (define @t4008 () (or @t3636 @t3684 @t940)) % 1.52/1.79 (define @t4009 () (or @t3684 @t940)) % 1.52/1.79 (define @t4010 () (=> tptp.breln1all1 @t3967)) % 1.52/1.79 (define @t4011 () (lambda @t135 @t2166)) % 1.52/1.79 (define @t4012 () (tptp.dpsetconstr @t2 @t2 @t4011)) % 1.52/1.79 (define @t4013 () (tptp.breln1 @t2 @t4012)) % 1.52/1.79 (define @t4014 () (=> tptp.setOfPairsIsBReln1 @t4010)) % 1.52/1.79 (define @t4015 () (or @t2165 @t2163 @t2162 @t2161)) % 1.52/1.79 (define @t4016 () (or @t2172 @t4015)) % 1.52/1.79 (define @t4017 () (forall @t2174 @t4016)) % 1.52/1.79 (define @t4018 () (@list @t2156 @t2158)) % 1.52/1.79 (define @t4019 () (forall @t4018 @t4016)) % 1.52/1.79 (define @t4020 () (forall @t4018 @t4015)) % 1.52/1.79 (define @t4021 () (@var "BOUND_VARIABLE_16779" $$unsorted)) % 1.52/1.79 (define @t4022 () (or @t2172 @t4020)) % 1.52/1.79 (define @t4023 () (tptp.in @t2157 @t937)) % 1.52/1.79 (define @t4024 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (and (_ @t67 @t4021 @t19) (forall @t1067 (or @t2160 (not (_ @t67 @t4021 @t289)) @t4023))))))) % 1.52/1.79 (define @t4025 () (not (tptp.in @t4021 @t2))) % 1.52/1.79 (define @t4026 () (tptp.reflwellordering @t1 @t937)) % 1.52/1.79 (define @t4027 () (not @t4026)) % 1.52/1.79 (define @t4028 () (tptp.in @t937 @t2164)) % 1.52/1.79 (define @t4029 () (not @t4028)) % 1.52/1.79 (define @t4030 () (or @t4029 @t4027 @t4025 @t4024)) % 1.52/1.79 (define @t4031 () (@list @t937 @t4021)) % 1.52/1.79 (define @t4032 () (forall @t4031 @t4030)) % 1.52/1.79 (define @t4033 () (or @t4025 @t4024)) % 1.52/1.79 (define @t4034 () (or @t4029 @t4027 @t4033)) % 1.52/1.79 (define @t4035 () (forall @t4031 @t4034)) % 1.52/1.79 (define @t4036 () (@list @t4021)) % 1.52/1.79 (define @t4037 () (forall @t4036 @t4034)) % 1.52/1.79 (define @t4038 () (forall @t4036 @t4033)) % 1.52/1.79 (define @t4039 () (or @t4029 @t4027 @t4038)) % 1.52/1.79 (define @t4040 () (_ @t67 @t4 @t289)) % 1.52/1.79 (define @t4041 () (not @t4040)) % 1.52/1.79 (define @t4042 () (or @t2160 @t4041 @t4023)) % 1.52/1.79 (define @t4043 () (forall @t1067 @t4042)) % 1.52/1.79 (define @t4044 () (and @t2166 @t4043)) % 1.52/1.79 (define @t4045 () (lambda @t70 @t4044)) % 1.52/1.79 (define @t4046 () (tptp.dsetconstr @t1 @t4045)) % 1.52/1.79 (define @t4047 () (tptp.singleton @t4046)) % 1.52/1.79 (define @t4048 () (forall @t9 (or @t2125 @t4047))) % 1.52/1.79 (define @t4049 () (not @t1579)) % 1.52/1.79 (define @t4050 () (not @t1582)) % 1.52/1.79 (define @t4051 () (or @t4050 @t4049 @t4048)) % 1.52/1.79 (define @t4052 () (=> @t1579 @t4048)) % 1.52/1.79 (define @t4053 () (not @t1571)) % 1.52/1.79 (define @t4054 () (not @t1573)) % 1.52/1.79 (define @t4055 () (or @t4054 @t4053 @t1570)) % 1.52/1.79 (define @t4056 () (forall @t1067 @t4055)) % 1.52/1.79 (define @t4057 () (lambda @t70 (and @t76 @t4056))) % 1.52/1.79 (define @t4058 () (_ @t410 @t4057)) % 1.52/1.79 (define @t4059 () (and @t76 @t4043)) % 1.52/1.79 (define @t4060 () (lambda @t70 @t4059)) % 1.52/1.79 (define @t4061 () (_ tptp.singleton (_ @t410 @t4060))) % 1.52/1.79 (define @t4062 () (or @t197 @t4061)) % 1.52/1.79 (define @t4063 () (or @t197 @t2170)) % 1.52/1.79 (define @t4064 () (not @t76)) % 1.52/1.79 (define @t4065 () (not @t354)) % 1.52/1.79 (define @t4066 () (or @t4065 @t4064)) % 1.52/1.79 (define @t4067 () (forall @t70 (not @t1586))) % 1.52/1.79 (define @t4068 () (not @t4067)) % 1.52/1.79 (define @t4069 () (=> tptp.choice2fnsingleton @t4014)) % 1.52/1.79 (define @t4070 () (not @t1565)) % 1.52/1.79 (define @t4071 () (or @t4070 @t1558)) % 1.52/1.79 (define @t4072 () (=> tptp.breln1SetBreln1 @t4069)) % 1.52/1.79 (define @t4073 () (=> tptp.breln1all2 @t4072)) % 1.52/1.79 (define @t4074 () (or @t2182 @t2180)) % 1.52/1.79 (define @t4075 () (or @t2184 @t4074)) % 1.52/1.79 (define @t4076 () (forall @t2186 @t4075)) % 1.52/1.79 (define @t4077 () (@list @t2179)) % 1.52/1.79 (define @t4078 () (forall @t4077 @t4075)) % 1.52/1.79 (define @t4079 () (forall @t4077 @t4074)) % 1.52/1.79 (define @t4080 () (@list @t1131)) % 1.52/1.79 (define @t4081 () (or @t2184 @t4079)) % 1.52/1.79 (define @t4082 () (tptp.binunion @t695 @t1131)) % 1.52/1.79 (define @t4083 () (tptp.setminus @t2 @t4082)) % 1.52/1.79 (define @t4084 () (tptp.in @t4083 @t2178)) % 1.52/1.79 (define @t4085 () (tptp.in @t1131 @t2181)) % 1.52/1.79 (define @t4086 () (not @t4085)) % 1.52/1.79 (define @t4087 () (forall @t1137 (or @t4086 @t4084))) % 1.52/1.79 (define @t4088 () (not @t1139)) % 1.52/1.79 (define @t4089 () (or @t4088 @t4087)) % 1.52/1.79 (define @t4090 () (not @t1136)) % 1.52/1.79 (define @t4091 () (or @t4090 @t1422)) % 1.52/1.79 (define @t4092 () (=> tptp.woz1_5 @t4073)) % 1.52/1.79 (define @t4093 () (or @t2191 @t2190 @t2189)) % 1.52/1.79 (define @t4094 () (or @t2184 @t4093)) % 1.52/1.79 (define @t4095 () (forall @t2193 @t4094)) % 1.52/1.79 (define @t4096 () (@list @t2188)) % 1.52/1.79 (define @t4097 () (forall @t4096 @t4094)) % 1.52/1.79 (define @t4098 () (forall @t4096 @t4093)) % 1.52/1.79 (define @t4099 () (or @t2184 @t4098)) % 1.52/1.79 (define @t4100 () (tptp.subset @t1131 @t2177)) % 1.52/1.79 (define @t4101 () (tptp.setminus @t2 @t1131)) % 1.52/1.79 (define @t4102 () (tptp.subset @t695 @t4101)) % 1.52/1.79 (define @t4103 () (not @t4102)) % 1.52/1.79 (define @t4104 () (forall @t1137 (or @t4086 @t4103 @t4100))) % 1.52/1.79 (define @t4105 () (or @t4088 @t4104)) % 1.52/1.79 (define @t4106 () (not @t1235)) % 1.52/1.79 (define @t4107 () (or @t4090 @t4106 @t1319)) % 1.52/1.79 (define @t4108 () (=> tptp.woz1_4 @t4092)) % 1.52/1.79 (define @t4109 () (or @t2199 @t2198 @t2197)) % 1.52/1.79 (define @t4110 () (or @t2184 @t4109)) % 1.52/1.79 (define @t4111 () (forall @t2201 @t4110)) % 1.52/1.79 (define @t4112 () (@list @t2196 @t2195)) % 1.52/1.79 (define @t4113 () (forall @t4112 @t4110)) % 1.52/1.79 (define @t4114 () (forall @t4112 @t4109)) % 1.52/1.79 (define @t4115 () (@var "BOUND_VARIABLE_15495" $$unsorted)) % 1.52/1.79 (define @t4116 () (or @t2184 @t4114)) % 1.52/1.79 (define @t4117 () (tptp.binintersect @t695 @t1131)) % 1.52/1.79 (define @t4118 () (tptp.in @t4117 (tptp.powerset (tptp.binintersect (tptp.binunion @t695 @t4115) (tptp.binunion @t1131 @t4115))))) % 1.52/1.79 (define @t4119 () (not (tptp.in @t4115 @t2181))) % 1.52/1.79 (define @t4120 () (or @t4086 @t4119 @t4118)) % 1.52/1.79 (define @t4121 () (@list @t1131 @t4115)) % 1.52/1.79 (define @t4122 () (forall @t4121 @t4120)) % 1.52/1.79 (define @t4123 () (or @t4088 @t4122)) % 1.52/1.79 (define @t4124 () (or @t4119 @t4118)) % 1.52/1.79 (define @t4125 () (or @t4086 @t4124)) % 1.52/1.79 (define @t4126 () (forall @t4121 @t4125)) % 1.52/1.79 (define @t4127 () (@list @t4115)) % 1.52/1.79 (define @t4128 () (forall @t4127 @t4125)) % 1.52/1.79 (define @t4129 () (forall @t4127 @t4124)) % 1.52/1.79 (define @t4130 () (@list @t1341)) % 1.52/1.79 (define @t4131 () (or @t4086 @t4129)) % 1.52/1.79 (define @t4132 () (tptp.binunion @t1131 @t1341)) % 1.52/1.79 (define @t4133 () (tptp.binunion @t695 @t1341)) % 1.52/1.79 (define @t4134 () (tptp.binintersect @t4133 @t4132)) % 1.52/1.79 (define @t4135 () (tptp.powerset @t4134)) % 1.52/1.79 (define @t4136 () (tptp.in @t4117 @t4135)) % 1.52/1.79 (define @t4137 () (tptp.in @t1341 @t2181)) % 1.52/1.79 (define @t4138 () (not @t4137)) % 1.52/1.79 (define @t4139 () (forall @t1349 (or @t4138 @t4136))) % 1.52/1.79 (define @t4140 () (or @t4090 @t4139)) % 1.52/1.79 (define @t4141 () (_ tptp.in @t4117)) % 1.52/1.79 (define @t4142 () (not @t1347)) % 1.52/1.79 (define @t4143 () (or @t4142 @t1379)) % 1.52/1.79 (define @t4144 () (=> tptp.woz1_3 @t4108)) % 1.52/1.79 (define @t4145 () (or @t2209 @t2208 @t2207 @t2206)) % 1.52/1.79 (define @t4146 () (or @t2184 @t4145)) % 1.52/1.79 (define @t4147 () (forall @t2211 @t4146)) % 1.52/1.79 (define @t4148 () (@list @t2205 @t2204 @t2203)) % 1.52/1.79 (define @t4149 () (forall @t4148 @t4146)) % 1.52/1.79 (define @t4150 () (forall @t4148 @t4145)) % 1.52/1.79 (define @t4151 () (@var "BOUND_VARIABLE_16570" $$unsorted)) % 1.52/1.79 (define @t4152 () (@var "BOUND_VARIABLE_16568" $$unsorted)) % 1.52/1.79 (define @t4153 () (or @t2184 @t4150)) % 1.52/1.79 (define @t4154 () (tptp.binintersect @t2177 @t4101)) % 1.52/1.79 (define @t4155 () (= (tptp.setminus @t2 (tptp.binintersect @t4082 (tptp.binunion @t4152 @t4151))) (tptp.binunion @t4154 (tptp.binintersect (tptp.setminus @t2 @t4152) (tptp.setminus @t2 @t4151))))) % 1.52/1.79 (define @t4156 () (not (tptp.in @t4151 @t2181))) % 1.52/1.79 (define @t4157 () (not (tptp.in @t4152 @t2181))) % 1.52/1.79 (define @t4158 () (or @t4086 @t4157 @t4156 @t4155)) % 1.52/1.79 (define @t4159 () (@list @t1131 @t4152 @t4151)) % 1.52/1.79 (define @t4160 () (forall @t4159 @t4158)) % 1.52/1.79 (define @t4161 () (or @t4088 @t4160)) % 1.52/1.79 (define @t4162 () (or @t4157 @t4156 @t4155)) % 1.52/1.79 (define @t4163 () (or @t4086 @t4162)) % 1.52/1.79 (define @t4164 () (forall @t4159 @t4163)) % 1.52/1.79 (define @t4165 () (@list @t4152 @t4151)) % 1.52/1.79 (define @t4166 () (forall @t4165 @t4163)) % 1.52/1.79 (define @t4167 () (forall @t4165 @t4162)) % 1.52/1.79 (define @t4168 () (@var "BOUND_VARIABLE_16545" $$unsorted)) % 1.52/1.79 (define @t4169 () (or @t4086 @t4167)) % 1.52/1.79 (define @t4170 () (tptp.setminus @t2 @t1341)) % 1.52/1.79 (define @t4171 () (= (tptp.setminus @t2 (tptp.binintersect @t4082 (tptp.binunion @t1341 @t4168))) (tptp.binunion @t4154 (tptp.binintersect @t4170 (tptp.setminus @t2 @t4168))))) % 1.52/1.79 (define @t4172 () (not (tptp.in @t4168 @t2181))) % 1.52/1.79 (define @t4173 () (or @t4138 @t4172 @t4171)) % 1.52/1.79 (define @t4174 () (@list @t1341 @t4168)) % 1.52/1.79 (define @t4175 () (forall @t4174 @t4173)) % 1.52/1.79 (define @t4176 () (or @t4090 @t4175)) % 1.52/1.79 (define @t4177 () (or @t4172 @t4171)) % 1.52/1.79 (define @t4178 () (or @t4138 @t4177)) % 1.52/1.79 (define @t4179 () (forall @t4174 @t4178)) % 1.52/1.79 (define @t4180 () (@list @t4168)) % 1.52/1.79 (define @t4181 () (forall @t4180 @t4178)) % 1.52/1.79 (define @t4182 () (forall @t4180 @t4177)) % 1.52/1.79 (define @t4183 () (@list @t1519)) % 1.52/1.79 (define @t4184 () (or @t4138 @t4182)) % 1.52/1.79 (define @t4185 () (tptp.setminus @t2 @t1519)) % 1.52/1.79 (define @t4186 () (tptp.binintersect @t4170 @t4185)) % 1.52/1.79 (define @t4187 () (tptp.binunion @t4154 @t4186)) % 1.52/1.79 (define @t4188 () (tptp.binunion @t1341 @t1519)) % 1.52/1.79 (define @t4189 () (tptp.binintersect @t4082 @t4188)) % 1.52/1.79 (define @t4190 () (tptp.setminus @t2 @t4189)) % 1.52/1.79 (define @t4191 () (tptp.in @t1519 @t2181)) % 1.52/1.79 (define @t4192 () (not @t4191)) % 1.52/1.79 (define @t4193 () (forall @t1527 (or @t4192 (= @t4190 @t4187)))) % 1.52/1.79 (define @t4194 () (or @t4142 @t4193)) % 1.52/1.79 (define @t4195 () (not @t1526)) % 1.52/1.79 (define @t4196 () (or @t4195 @t1543)) % 1.52/1.79 (define @t4197 () (=> tptp.woz1_2 @t4144)) % 1.52/1.79 (define @t4198 () (or @t2214 @t2213)) % 1.52/1.79 (define @t4199 () (or @t2184 @t4198)) % 1.52/1.79 (define @t4200 () (forall @t2216 @t4199)) % 1.52/1.79 (define @t4201 () (@list @t2212)) % 1.52/1.79 (define @t4202 () (forall @t4201 @t4199)) % 1.52/1.79 (define @t4203 () (forall @t4201 @t4198)) % 1.52/1.79 (define @t4204 () (or @t2184 @t4203)) % 1.52/1.79 (define @t4205 () (tptp.setminus @t2 @t4117)) % 1.52/1.79 (define @t4206 () (tptp.powerset @t4205)) % 1.52/1.79 (define @t4207 () (tptp.in @t2177 @t4206)) % 1.52/1.79 (define @t4208 () (forall @t1137 (or @t4086 @t4207))) % 1.52/1.79 (define @t4209 () (or @t4088 @t4208)) % 1.52/1.79 (define @t4210 () (_ tptp.in @t2177)) % 1.52/1.79 (define @t4211 () (or @t4090 @t1305)) % 1.52/1.79 (define @t4212 () (=> tptp.woz1_1 @t4197)) % 1.52/1.79 (define @t4213 () (or @t2226 @t2225 @t2224 @t2223 @t2222 @t2221)) % 1.52/1.79 (define @t4214 () (or @t2184 @t4213)) % 1.52/1.79 (define @t4215 () (forall @t2228 @t4214)) % 1.52/1.79 (define @t4216 () (@list @t2220 @t2219 @t2218)) % 1.52/1.79 (define @t4217 () (forall @t4216 @t4214)) % 1.52/1.79 (define @t4218 () (forall @t4216 @t4213)) % 1.52/1.79 (define @t4219 () (@var "BOUND_VARIABLE_16465" $$unsorted)) % 1.52/1.79 (define @t4220 () (@var "BOUND_VARIABLE_16463" $$unsorted)) % 1.52/1.79 (define @t4221 () (or @t2184 @t4218)) % 1.52/1.79 (define @t4222 () (tptp.subset @t4117 (tptp.binintersect @t4220 @t4219))) % 1.52/1.79 (define @t4223 () (not (tptp.subset @t1131 @t4219))) % 1.52/1.79 (define @t4224 () (not (tptp.in @t4219 @t2181))) % 1.52/1.79 (define @t4225 () (not (tptp.subset @t695 @t4220))) % 1.52/1.79 (define @t4226 () (not (tptp.in @t4220 @t2181))) % 1.52/1.79 (define @t4227 () (or @t4086 @t4226 @t4225 @t4224 @t4223 @t4222)) % 1.52/1.79 (define @t4228 () (@list @t1131 @t4220 @t4219)) % 1.52/1.79 (define @t4229 () (forall @t4228 @t4227)) % 1.52/1.79 (define @t4230 () (or @t4088 @t4229)) % 1.52/1.79 (define @t4231 () (or @t4226 @t4225 @t4224 @t4223 @t4222)) % 1.52/1.79 (define @t4232 () (or @t4086 @t4231)) % 1.52/1.79 (define @t4233 () (forall @t4228 @t4232)) % 1.52/1.79 (define @t4234 () (@list @t4220 @t4219)) % 1.52/1.79 (define @t4235 () (forall @t4234 @t4232)) % 1.52/1.79 (define @t4236 () (forall @t4234 @t4231)) % 1.52/1.79 (define @t4237 () (@var "BOUND_VARIABLE_16443" $$unsorted)) % 1.52/1.79 (define @t4238 () (or @t4086 @t4236)) % 1.52/1.79 (define @t4239 () (tptp.subset @t4117 (tptp.binintersect @t1341 @t4237))) % 1.52/1.79 (define @t4240 () (not (tptp.subset @t1131 @t4237))) % 1.52/1.79 (define @t4241 () (not (tptp.in @t4237 @t2181))) % 1.52/1.79 (define @t4242 () (tptp.subset @t695 @t1341)) % 1.52/1.79 (define @t4243 () (not @t4242)) % 1.52/1.79 (define @t4244 () (or @t4138 @t4243 @t4241 @t4240 @t4239)) % 1.52/1.79 (define @t4245 () (@list @t1341 @t4237)) % 1.52/1.79 (define @t4246 () (forall @t4245 @t4244)) % 1.52/1.79 (define @t4247 () (or @t4090 @t4246)) % 1.52/1.79 (define @t4248 () (or @t4241 @t4240 @t4239)) % 1.52/1.79 (define @t4249 () (or @t4138 @t4243 @t4248)) % 1.52/1.79 (define @t4250 () (forall @t4245 @t4249)) % 1.52/1.79 (define @t4251 () (@list @t4237)) % 1.52/1.79 (define @t4252 () (forall @t4251 @t4249)) % 1.52/1.79 (define @t4253 () (forall @t4251 @t4248)) % 1.52/1.79 (define @t4254 () (or @t4138 @t4243 @t4253)) % 1.52/1.79 (define @t4255 () (tptp.binintersect @t1341 @t1519)) % 1.52/1.79 (define @t4256 () (tptp.subset @t4117 @t4255)) % 1.52/1.79 (define @t4257 () (tptp.subset @t1131 @t1519)) % 1.52/1.79 (define @t4258 () (forall @t1527 (or @t4192 (not @t4257) @t4256))) % 1.52/1.79 (define @t4259 () (not @t1493)) % 1.52/1.79 (define @t4260 () (or @t4142 @t4259 @t4258)) % 1.52/1.79 (define @t4261 () (or @t4259 @t4258)) % 1.52/1.79 (define @t4262 () (_ tptp.subset @t4117)) % 1.52/1.79 (define @t4263 () (not @t1522)) % 1.52/1.79 (define @t4264 () (or @t4195 @t4263 @t1521)) % 1.52/1.79 (define @t4265 () (forall @t1527 @t4264)) % 1.52/1.79 (define @t4266 () (or @t4259 @t4265)) % 1.52/1.79 (define @t4267 () (or @t4259 @t4264)) % 1.52/1.79 (define @t4268 () (or @t4195 @t4259 @t4263 @t1521)) % 1.52/1.79 (define @t4269 () (or @t4259 @t4263 @t1521)) % 1.52/1.79 (define @t4270 () (=> tptp.woz13rule4 @t4212)) % 1.52/1.79 (define @t4271 () (or @t2235 @t2234 @t2233 @t2232 @t2231)) % 1.52/1.79 (define @t4272 () (or @t2184 @t4271)) % 1.52/1.79 (define @t4273 () (forall @t2237 @t4272)) % 1.52/1.79 (define @t4274 () (@list @t2230 @t2229)) % 1.52/1.79 (define @t4275 () (forall @t4274 @t4272)) % 1.52/1.79 (define @t4276 () (forall @t4274 @t4271)) % 1.52/1.79 (define @t4277 () (@var "BOUND_VARIABLE_16375" $$unsorted)) % 1.52/1.79 (define @t4278 () (or @t2184 @t4276)) % 1.52/1.79 (define @t4279 () (tptp.subset @t695 (tptp.binintersect @t1131 @t4277))) % 1.52/1.79 (define @t4280 () (not (tptp.subset @t695 @t4277))) % 1.52/1.79 (define @t4281 () (not (tptp.in @t4277 @t2181))) % 1.52/1.79 (define @t4282 () (tptp.subset @t695 @t1131)) % 1.52/1.79 (define @t4283 () (not @t4282)) % 1.52/1.79 (define @t4284 () (or @t4086 @t4283 @t4281 @t4280 @t4279)) % 1.52/1.79 (define @t4285 () (@list @t1131 @t4277)) % 1.52/1.79 (define @t4286 () (forall @t4285 @t4284)) % 1.52/1.79 (define @t4287 () (or @t4088 @t4286)) % 1.52/1.79 (define @t4288 () (or @t4281 @t4280 @t4279)) % 1.52/1.79 (define @t4289 () (or @t4086 @t4283 @t4288)) % 1.52/1.79 (define @t4290 () (forall @t4285 @t4289)) % 1.52/1.79 (define @t4291 () (@list @t4277)) % 1.52/1.79 (define @t4292 () (forall @t4291 @t4289)) % 1.52/1.79 (define @t4293 () (forall @t4291 @t4288)) % 1.52/1.79 (define @t4294 () (or @t4086 @t4283 @t4293)) % 1.52/1.79 (define @t4295 () (tptp.binintersect @t1131 @t1341)) % 1.52/1.79 (define @t4296 () (tptp.subset @t695 @t4295)) % 1.52/1.79 (define @t4297 () (forall @t1349 (or @t4138 @t4243 @t4296))) % 1.52/1.79 (define @t4298 () (not @t1181)) % 1.52/1.79 (define @t4299 () (or @t4090 @t4298 @t4297)) % 1.52/1.79 (define @t4300 () (or @t4298 @t4297)) % 1.52/1.79 (define @t4301 () (or @t4142 @t4259 @t1510)) % 1.52/1.79 (define @t4302 () (forall @t1349 @t4301)) % 1.52/1.79 (define @t4303 () (or @t4298 @t4302)) % 1.52/1.79 (define @t4304 () (or @t4298 @t4301)) % 1.52/1.79 (define @t4305 () (or @t4142 @t4298 @t4259 @t1510)) % 1.52/1.79 (define @t4306 () (or @t4298 @t4259 @t1510)) % 1.52/1.79 (define @t4307 () (=> tptp.woz13rule3 @t4270)) % 1.52/1.79 (define @t4308 () (or @t2243 @t2242 @t2241 @t2240)) % 1.52/1.79 (define @t4309 () (or @t2184 @t4308)) % 1.52/1.79 (define @t4310 () (forall @t2245 @t4309)) % 1.52/1.79 (define @t4311 () (@list @t2239 @t2238)) % 1.52/1.79 (define @t4312 () (forall @t4311 @t4309)) % 1.52/1.79 (define @t4313 () (forall @t4311 @t4308)) % 1.52/1.79 (define @t4314 () (@var "BOUND_VARIABLE_16317" $$unsorted)) % 1.52/1.79 (define @t4315 () (or @t2184 @t4313)) % 1.52/1.79 (define @t4316 () (tptp.subset @t4117 @t4314)) % 1.52/1.79 (define @t4317 () (not (tptp.subset @t1131 @t4314))) % 1.52/1.79 (define @t4318 () (not (tptp.in @t4314 @t2181))) % 1.52/1.79 (define @t4319 () (or @t4086 @t4318 @t4317 @t4316)) % 1.52/1.79 (define @t4320 () (@list @t1131 @t4314)) % 1.52/1.79 (define @t4321 () (forall @t4320 @t4319)) % 1.52/1.79 (define @t4322 () (or @t4088 @t4321)) % 1.52/1.79 (define @t4323 () (or @t4318 @t4317 @t4316)) % 1.52/1.79 (define @t4324 () (or @t4086 @t4323)) % 1.52/1.79 (define @t4325 () (forall @t4320 @t4324)) % 1.52/1.79 (define @t4326 () (@list @t4314)) % 1.52/1.79 (define @t4327 () (forall @t4326 @t4324)) % 1.52/1.79 (define @t4328 () (forall @t4326 @t4323)) % 1.52/1.79 (define @t4329 () (or @t4086 @t4328)) % 1.52/1.79 (define @t4330 () (tptp.subset @t4117 @t1341)) % 1.52/1.79 (define @t4331 () (tptp.subset @t1131 @t1341)) % 1.52/1.79 (define @t4332 () (forall @t1349 (or @t4138 (not @t4331) @t4330))) % 1.52/1.79 (define @t4333 () (or @t4090 @t4332)) % 1.52/1.79 (define @t4334 () (not @t1501)) % 1.52/1.79 (define @t4335 () (or @t4142 @t4334 @t1492)) % 1.52/1.79 (define @t4336 () (=> tptp.woz13rule2 @t4307)) % 1.52/1.79 (define @t4337 () (or @t2251 @t2250 @t2249 @t2248)) % 1.52/1.79 (define @t4338 () (or @t2184 @t4337)) % 1.52/1.79 (define @t4339 () (forall @t2253 @t4338)) % 1.52/1.79 (define @t4340 () (@list @t2247 @t2246)) % 1.52/1.79 (define @t4341 () (forall @t4340 @t4338)) % 1.52/1.79 (define @t4342 () (forall @t4340 @t4337)) % 1.52/1.79 (define @t4343 () (@var "BOUND_VARIABLE_16264" $$unsorted)) % 1.52/1.79 (define @t4344 () (or @t2184 @t4342)) % 1.52/1.79 (define @t4345 () (tptp.subset @t4117 @t4343)) % 1.52/1.79 (define @t4346 () (not (tptp.subset @t695 @t4343))) % 1.52/1.79 (define @t4347 () (not (tptp.in @t4343 @t2181))) % 1.52/1.79 (define @t4348 () (or @t4086 @t4347 @t4346 @t4345)) % 1.52/1.79 (define @t4349 () (@list @t1131 @t4343)) % 1.52/1.79 (define @t4350 () (forall @t4349 @t4348)) % 1.52/1.79 (define @t4351 () (or @t4088 @t4350)) % 1.52/1.79 (define @t4352 () (or @t4347 @t4346 @t4345)) % 1.52/1.79 (define @t4353 () (or @t4086 @t4352)) % 1.52/1.79 (define @t4354 () (forall @t4349 @t4353)) % 1.52/1.79 (define @t4355 () (@list @t4343)) % 1.52/1.79 (define @t4356 () (forall @t4355 @t4353)) % 1.52/1.79 (define @t4357 () (forall @t4355 @t4352)) % 1.52/1.79 (define @t4358 () (or @t4086 @t4357)) % 1.52/1.79 (define @t4359 () (forall @t1349 (or @t4138 @t4243 @t4330))) % 1.52/1.79 (define @t4360 () (or @t4090 @t4359)) % 1.52/1.79 (define @t4361 () (or @t4142 @t4259 @t1492)) % 1.52/1.79 (define @t4362 () (=> tptp.woz13rule1 @t4336)) % 1.52/1.79 (define @t4363 () (or @t2258 @t2257 @t2255)) % 1.52/1.79 (define @t4364 () (or @t2184 @t4363)) % 1.52/1.79 (define @t4365 () (forall @t2260 @t4364)) % 1.52/1.79 (define @t4366 () (@list @t2256 @t2254)) % 1.52/1.79 (define @t4367 () (forall @t4366 @t4364)) % 1.52/1.79 (define @t4368 () (forall @t4366 @t4363)) % 1.52/1.79 (define @t4369 () (@var "BOUND_VARIABLE_16212" $$unsorted)) % 1.52/1.79 (define @t4370 () (or @t2184 @t4368)) % 1.52/1.79 (define @t4371 () (tptp.in @t4369 @t2)) % 1.52/1.79 (define @t4372 () (not (tptp.in @t4369 @t4117))) % 1.52/1.79 (define @t4373 () (or @t4086 @t4372 @t4371)) % 1.52/1.79 (define @t4374 () (@list @t1131 @t4369)) % 1.52/1.79 (define @t4375 () (forall @t4374 @t4373)) % 1.52/1.79 (define @t4376 () (or @t4088 @t4375)) % 1.52/1.79 (define @t4377 () (or @t4372 @t4371)) % 1.52/1.79 (define @t4378 () (or @t4086 @t4377)) % 1.52/1.79 (define @t4379 () (forall @t4374 @t4378)) % 1.52/1.79 (define @t4380 () (@list @t4369)) % 1.52/1.79 (define @t4381 () (forall @t4380 @t4378)) % 1.52/1.79 (define @t4382 () (forall @t4380 @t4377)) % 1.52/1.79 (define @t4383 () (or @t4086 @t4382)) % 1.52/1.79 (define @t4384 () (tptp.in @t4 @t4117)) % 1.52/1.79 (define @t4385 () (not @t4384)) % 1.52/1.79 (define @t4386 () (forall @t9 (or @t4385 @t2124))) % 1.52/1.79 (define @t4387 () (or @t4090 @t4386)) % 1.52/1.79 (define @t4388 () (or @t1216 @t7)) % 1.52/1.79 (define @t4389 () (=> tptp.woz13rule0 @t4362)) % 1.52/1.79 (define @t4390 () (or @t2263 @t2262)) % 1.52/1.79 (define @t4391 () (or @t2184 @t4390)) % 1.52/1.79 (define @t4392 () (forall @t2265 @t4391)) % 1.52/1.79 (define @t4393 () (@list @t2261)) % 1.52/1.79 (define @t4394 () (forall @t4393 @t4391)) % 1.52/1.79 (define @t4395 () (forall @t4393 @t4390)) % 1.52/1.79 (define @t4396 () (or @t2184 @t4395)) % 1.52/1.79 (define @t4397 () (forall @t1137 (or @t4086 (= @t4083 @t4154)))) % 1.52/1.79 (define @t4398 () (or @t4088 @t4397)) % 1.52/1.79 (define @t4399 () (or @t4090 @t1480)) % 1.52/1.79 (define @t4400 () (=> tptp.demorgan2 @t4389)) % 1.52/1.79 (define @t4401 () (or @t2271 @t2270 @t2269 @t2268)) % 1.52/1.79 (define @t4402 () (or @t2184 @t4401)) % 1.52/1.79 (define @t4403 () (forall @t2273 @t4402)) % 1.52/1.79 (define @t4404 () (@list @t2266 @t2267)) % 1.52/1.79 (define @t4405 () (forall @t4404 @t4402)) % 1.52/1.79 (define @t4406 () (forall @t4404 @t4401)) % 1.52/1.79 (define @t4407 () (@var "BOUND_VARIABLE_16132" $$unsorted)) % 1.52/1.79 (define @t4408 () (or @t2184 @t4406)) % 1.52/1.79 (define @t4409 () (tptp.in @t4407 @t4083)) % 1.52/1.79 (define @t4410 () (not (tptp.in @t4407 @t4154))) % 1.52/1.79 (define @t4411 () (not (tptp.in @t4407 @t2))) % 1.52/1.79 (define @t4412 () (or @t4086 @t4411 @t4410 @t4409)) % 1.52/1.79 (define @t4413 () (@list @t1131 @t4407)) % 1.52/1.79 (define @t4414 () (forall @t4413 @t4412)) % 1.52/1.79 (define @t4415 () (or @t4088 @t4414)) % 1.52/1.79 (define @t4416 () (or @t4411 @t4410 @t4409)) % 1.52/1.79 (define @t4417 () (or @t4086 @t4416)) % 1.52/1.79 (define @t4418 () (forall @t4413 @t4417)) % 1.52/1.79 (define @t4419 () (@list @t4407)) % 1.52/1.79 (define @t4420 () (forall @t4419 @t4417)) % 1.52/1.79 (define @t4421 () (forall @t4419 @t4416)) % 1.52/1.79 (define @t4422 () (or @t4086 @t4421)) % 1.52/1.79 (define @t4423 () (tptp.in @t4 @t4083)) % 1.52/1.79 (define @t4424 () (tptp.in @t4 @t4154)) % 1.52/1.79 (define @t4425 () (forall @t9 (or @t2125 (not @t4424) @t4423))) % 1.52/1.79 (define @t4426 () (or @t4090 @t4425)) % 1.52/1.79 (define @t4427 () (not @t1457)) % 1.52/1.79 (define @t4428 () (or @t197 @t4427 @t1387)) % 1.52/1.79 (define @t4429 () (=> tptp.demorgan2b @t4400)) % 1.52/1.79 (define @t4430 () (or @t2280 @t2279 @t2278 @t2277 @t2276)) % 1.52/1.79 (define @t4431 () (or @t2184 @t4430)) % 1.52/1.79 (define @t4432 () (forall @t2282 @t4431)) % 1.52/1.79 (define @t4433 () (@list @t2274 @t2275)) % 1.52/1.79 (define @t4434 () (forall @t4433 @t4431)) % 1.52/1.79 (define @t4435 () (forall @t4433 @t4430)) % 1.52/1.79 (define @t4436 () (@var "BOUND_VARIABLE_16074" $$unsorted)) % 1.52/1.79 (define @t4437 () (or @t2184 @t4435)) % 1.52/1.79 (define @t4438 () (tptp.in @t4436 @t4083)) % 1.52/1.79 (define @t4439 () (not (tptp.in @t4436 @t4101))) % 1.52/1.79 (define @t4440 () (not (tptp.in @t4436 @t2177))) % 1.52/1.79 (define @t4441 () (not (tptp.in @t4436 @t2))) % 1.52/1.79 (define @t4442 () (or @t4086 @t4441 @t4440 @t4439 @t4438)) % 1.52/1.79 (define @t4443 () (@list @t1131 @t4436)) % 1.52/1.79 (define @t4444 () (forall @t4443 @t4442)) % 1.52/1.79 (define @t4445 () (or @t4088 @t4444)) % 1.52/1.79 (define @t4446 () (or @t4441 @t4440 @t4439 @t4438)) % 1.52/1.79 (define @t4447 () (or @t4086 @t4446)) % 1.52/1.79 (define @t4448 () (forall @t4443 @t4447)) % 1.52/1.79 (define @t4449 () (@list @t4436)) % 1.52/1.79 (define @t4450 () (forall @t4449 @t4447)) % 1.52/1.79 (define @t4451 () (forall @t4449 @t4446)) % 1.52/1.79 (define @t4452 () (or @t4086 @t4451)) % 1.52/1.79 (define @t4453 () (tptp.in @t4 @t4101)) % 1.52/1.79 (define @t4454 () (tptp.in @t4 @t2177)) % 1.52/1.79 (define @t4455 () (not @t4454)) % 1.52/1.79 (define @t4456 () (forall @t9 (or @t2125 @t4455 (not @t4453) @t4423))) % 1.52/1.79 (define @t4457 () (or @t4090 @t4456)) % 1.52/1.79 (define @t4458 () (not @t1427)) % 1.52/1.79 (define @t4459 () (or @t197 @t1204 @t4458 @t1387)) % 1.52/1.79 (define @t4460 () (or @t1204 @t4458 @t1387)) % 1.52/1.79 (define @t4461 () (=> tptp.demorgan2b2 @t4429)) % 1.52/1.79 (define @t4462 () (or @t2288 @t2287 @t2286 @t2285)) % 1.52/1.79 (define @t4463 () (or @t2184 @t4462)) % 1.52/1.79 (define @t4464 () (forall @t2290 @t4463)) % 1.52/1.79 (define @t4465 () (@list @t2283 @t2284)) % 1.52/1.79 (define @t4466 () (forall @t4465 @t4463)) % 1.52/1.79 (define @t4467 () (forall @t4465 @t4462)) % 1.52/1.79 (define @t4468 () (@var "BOUND_VARIABLE_16018" $$unsorted)) % 1.52/1.79 (define @t4469 () (or @t2184 @t4467)) % 1.52/1.79 (define @t4470 () (tptp.in @t4468 @t4154)) % 1.52/1.79 (define @t4471 () (not (tptp.in @t4468 @t4083))) % 1.52/1.79 (define @t4472 () (not (tptp.in @t4468 @t2))) % 1.52/1.79 (define @t4473 () (or @t4086 @t4472 @t4471 @t4470)) % 1.52/1.79 (define @t4474 () (@list @t1131 @t4468)) % 1.52/1.79 (define @t4475 () (forall @t4474 @t4473)) % 1.52/1.79 (define @t4476 () (or @t4088 @t4475)) % 1.52/1.79 (define @t4477 () (or @t4472 @t4471 @t4470)) % 1.52/1.79 (define @t4478 () (or @t4086 @t4477)) % 1.52/1.79 (define @t4479 () (forall @t4474 @t4478)) % 1.52/1.79 (define @t4480 () (@list @t4468)) % 1.52/1.79 (define @t4481 () (forall @t4480 @t4478)) % 1.52/1.79 (define @t4482 () (forall @t4480 @t4477)) % 1.52/1.79 (define @t4483 () (or @t4086 @t4482)) % 1.52/1.79 (define @t4484 () (not @t4423)) % 1.52/1.79 (define @t4485 () (forall @t9 (or @t2125 @t4484 @t4424))) % 1.52/1.79 (define @t4486 () (or @t4090 @t4485)) % 1.52/1.79 (define @t4487 () (not @t1387)) % 1.52/1.79 (define @t4488 () (or @t197 @t4487 @t1457)) % 1.52/1.79 (define @t4489 () (=> tptp.demorgan2a @t4461)) % 1.52/1.79 (define @t4490 () (or @t2293 @t2292)) % 1.52/1.79 (define @t4491 () (or @t2184 @t4490)) % 1.52/1.79 (define @t4492 () (forall @t2295 @t4491)) % 1.52/1.79 (define @t4493 () (@list @t2291)) % 1.52/1.79 (define @t4494 () (forall @t4493 @t4491)) % 1.52/1.79 (define @t4495 () (forall @t4493 @t4490)) % 1.52/1.79 (define @t4496 () (or @t2184 @t4495)) % 1.52/1.79 (define @t4497 () (tptp.binunion @t2177 @t4101)) % 1.52/1.79 (define @t4498 () (forall @t1137 (or @t4086 (= @t4205 @t4497)))) % 1.52/1.79 (define @t4499 () (or @t4088 @t4498)) % 1.52/1.79 (define @t4500 () (or @t4090 @t1451)) % 1.52/1.79 (define @t4501 () (=> tptp.demorgan1 @t4489)) % 1.52/1.79 (define @t4502 () (or @t2301 @t2300 @t2299 @t2298)) % 1.52/1.79 (define @t4503 () (or @t2184 @t4502)) % 1.52/1.79 (define @t4504 () (forall @t2303 @t4503)) % 1.52/1.79 (define @t4505 () (@list @t2296 @t2297)) % 1.52/1.79 (define @t4506 () (forall @t4505 @t4503)) % 1.52/1.79 (define @t4507 () (forall @t4505 @t4502)) % 1.52/1.79 (define @t4508 () (@var "BOUND_VARIABLE_15932" $$unsorted)) % 1.52/1.79 (define @t4509 () (or @t2184 @t4507)) % 1.52/1.79 (define @t4510 () (tptp.in @t4508 @t4205)) % 1.52/1.79 (define @t4511 () (not (tptp.in @t4508 @t4497))) % 1.52/1.79 (define @t4512 () (not (tptp.in @t4508 @t2))) % 1.52/1.79 (define @t4513 () (or @t4086 @t4512 @t4511 @t4510)) % 1.52/1.79 (define @t4514 () (@list @t1131 @t4508)) % 1.52/1.79 (define @t4515 () (forall @t4514 @t4513)) % 1.52/1.79 (define @t4516 () (or @t4088 @t4515)) % 1.52/1.79 (define @t4517 () (or @t4512 @t4511 @t4510)) % 1.52/1.79 (define @t4518 () (or @t4086 @t4517)) % 1.52/1.79 (define @t4519 () (forall @t4514 @t4518)) % 1.52/1.79 (define @t4520 () (@list @t4508)) % 1.52/1.79 (define @t4521 () (forall @t4520 @t4518)) % 1.52/1.79 (define @t4522 () (forall @t4520 @t4517)) % 1.52/1.79 (define @t4523 () (or @t4086 @t4522)) % 1.52/1.79 (define @t4524 () (tptp.in @t4 @t4205)) % 1.52/1.79 (define @t4525 () (tptp.in @t4 @t4497)) % 1.52/1.79 (define @t4526 () (forall @t9 (or @t2125 (not @t4525) @t4524))) % 1.52/1.79 (define @t4527 () (or @t4090 @t4526)) % 1.52/1.79 (define @t4528 () (not @t1436)) % 1.52/1.79 (define @t4529 () (or @t197 @t4528 @t1291)) % 1.52/1.79 (define @t4530 () (=> tptp.demorgan1b @t4501)) % 1.52/1.79 (define @t4531 () (or @t2309 @t2308 @t2307 @t2306)) % 1.52/1.79 (define @t4532 () (or @t2184 @t4531)) % 1.52/1.79 (define @t4533 () (forall @t2311 @t4532)) % 1.52/1.79 (define @t4534 () (@list @t2304 @t2305)) % 1.52/1.79 (define @t4535 () (forall @t4534 @t4532)) % 1.52/1.79 (define @t4536 () (forall @t4534 @t4531)) % 1.52/1.79 (define @t4537 () (@var "BOUND_VARIABLE_15877" $$unsorted)) % 1.52/1.79 (define @t4538 () (or @t2184 @t4536)) % 1.52/1.79 (define @t4539 () (tptp.in @t4537 @t4497)) % 1.52/1.79 (define @t4540 () (not (tptp.in @t4537 @t4205))) % 1.52/1.79 (define @t4541 () (not (tptp.in @t4537 @t2))) % 1.52/1.79 (define @t4542 () (or @t4086 @t4541 @t4540 @t4539)) % 1.52/1.79 (define @t4543 () (@list @t1131 @t4537)) % 1.52/1.79 (define @t4544 () (forall @t4543 @t4542)) % 1.52/1.79 (define @t4545 () (or @t4088 @t4544)) % 1.52/1.79 (define @t4546 () (or @t4541 @t4540 @t4539)) % 1.52/1.79 (define @t4547 () (or @t4086 @t4546)) % 1.52/1.79 (define @t4548 () (forall @t4543 @t4547)) % 1.52/1.79 (define @t4549 () (@list @t4537)) % 1.52/1.79 (define @t4550 () (forall @t4549 @t4547)) % 1.52/1.79 (define @t4551 () (forall @t4549 @t4546)) % 1.52/1.79 (define @t4552 () (or @t4086 @t4551)) % 1.52/1.79 (define @t4553 () (forall @t9 (or @t2125 (not @t4524) @t4525))) % 1.52/1.79 (define @t4554 () (or @t4090 @t4553)) % 1.52/1.79 (define @t4555 () (not @t1291)) % 1.52/1.79 (define @t4556 () (or @t197 @t4555 @t1436)) % 1.52/1.79 (define @t4557 () (=> tptp.demorgan1a @t4530)) % 1.52/1.79 (define @t4558 () (or @t2317 @t2316 @t2315 @t2314)) % 1.52/1.79 (define @t4559 () (or @t2184 @t4558)) % 1.52/1.79 (define @t4560 () (forall @t2319 @t4559)) % 1.52/1.79 (define @t4561 () (@list @t2312 @t2313)) % 1.52/1.79 (define @t4562 () (forall @t4561 @t4559)) % 1.52/1.79 (define @t4563 () (forall @t4561 @t4558)) % 1.52/1.79 (define @t4564 () (@var "BOUND_VARIABLE_15818" $$unsorted)) % 1.52/1.79 (define @t4565 () (or @t2184 @t4563)) % 1.52/1.79 (define @t4566 () (tptp.in @t4564 @t4101)) % 1.52/1.79 (define @t4567 () (not (tptp.in @t4564 @t4083))) % 1.52/1.79 (define @t4568 () (not (tptp.in @t4564 @t2))) % 1.52/1.79 (define @t4569 () (or @t4086 @t4568 @t4567 @t4566)) % 1.52/1.79 (define @t4570 () (@list @t1131 @t4564)) % 1.52/1.79 (define @t4571 () (forall @t4570 @t4569)) % 1.52/1.79 (define @t4572 () (or @t4088 @t4571)) % 1.52/1.79 (define @t4573 () (or @t4568 @t4567 @t4566)) % 1.52/1.79 (define @t4574 () (or @t4086 @t4573)) % 1.52/1.79 (define @t4575 () (forall @t4570 @t4574)) % 1.52/1.79 (define @t4576 () (@list @t4564)) % 1.52/1.79 (define @t4577 () (forall @t4576 @t4574)) % 1.52/1.79 (define @t4578 () (forall @t4576 @t4573)) % 1.52/1.79 (define @t4579 () (or @t4086 @t4578)) % 1.52/1.79 (define @t4580 () (forall @t9 (or @t2125 @t4484 @t4453))) % 1.52/1.79 (define @t4581 () (or @t4090 @t4580)) % 1.52/1.79 (define @t4582 () (or @t197 @t4487 @t1427)) % 1.52/1.79 (define @t4583 () (=> tptp.demorgan2a2 @t4557)) % 1.52/1.79 (define @t4584 () (=> tptp.complementUnionInPowersetComplement @t4583)) % 1.52/1.79 (define @t4585 () (or @t2325 @t2324 @t2323 @t2321)) % 1.52/1.79 (define @t4586 () (or @t2184 @t4585)) % 1.52/1.79 (define @t4587 () (forall @t2327 @t4586)) % 1.52/1.79 (define @t4588 () (@list @t2322 @t2320)) % 1.52/1.79 (define @t4589 () (forall @t4588 @t4586)) % 1.52/1.79 (define @t4590 () (forall @t4588 @t4585)) % 1.52/1.79 (define @t4591 () (@var "BOUND_VARIABLE_15608" $$unsorted)) % 1.52/1.79 (define @t4592 () (or @t2184 @t4590)) % 1.52/1.79 (define @t4593 () (tptp.in @t4591 @t2177)) % 1.52/1.79 (define @t4594 () (not (tptp.in @t4591 @t4083))) % 1.52/1.79 (define @t4595 () (not (tptp.in @t4591 @t2))) % 1.52/1.79 (define @t4596 () (or @t4086 @t4595 @t4594 @t4593)) % 1.52/1.79 (define @t4597 () (@list @t1131 @t4591)) % 1.52/1.79 (define @t4598 () (forall @t4597 @t4596)) % 1.52/1.79 (define @t4599 () (or @t4088 @t4598)) % 1.52/1.79 (define @t4600 () (or @t4595 @t4594 @t4593)) % 1.52/1.79 (define @t4601 () (or @t4086 @t4600)) % 1.52/1.79 (define @t4602 () (forall @t4597 @t4601)) % 1.52/1.79 (define @t4603 () (@list @t4591)) % 1.52/1.79 (define @t4604 () (forall @t4603 @t4601)) % 1.52/1.79 (define @t4605 () (forall @t4603 @t4600)) % 1.52/1.79 (define @t4606 () (or @t4086 @t4605)) % 1.52/1.79 (define @t4607 () (forall @t9 (or @t2125 @t4484 @t4454))) % 1.52/1.79 (define @t4608 () (or @t4090 @t4607)) % 1.52/1.79 (define @t4609 () (or @t197 @t4487 @t1203)) % 1.52/1.79 (define @t4610 () (=> tptp.demorgan2a1 @t4584)) % 1.52/1.79 (define @t4611 () (or @t2335 @t2334 @t2333 @t2332 @t2331)) % 1.52/1.79 (define @t4612 () (or @t2184 @t4611)) % 1.52/1.79 (define @t4613 () (forall @t2337 @t4612)) % 1.52/1.79 (define @t4614 () (@list @t2329 @t2330)) % 1.52/1.79 (define @t4615 () (forall @t4614 @t4612)) % 1.52/1.79 (define @t4616 () (forall @t4614 @t4611)) % 1.52/1.79 (define @t4617 () (@var "BOUND_VARIABLE_15730" $$unsorted)) % 1.52/1.79 (define @t4618 () (or @t2184 @t4616)) % 1.52/1.79 (define @t4619 () (not (tptp.in @t4617 @t4082))) % 1.52/1.79 (define @t4620 () (tptp.in @t4617 @t1131)) % 1.52/1.79 (define @t4621 () (tptp.in @t4617 @t695)) % 1.52/1.79 (define @t4622 () (not (tptp.in @t4617 @t2))) % 1.52/1.79 (define @t4623 () (or @t4086 @t4622 @t4621 @t4620 @t4619)) % 1.52/1.79 (define @t4624 () (@list @t1131 @t4617)) % 1.52/1.79 (define @t4625 () (forall @t4624 @t4623)) % 1.52/1.79 (define @t4626 () (or @t4088 @t4625)) % 1.52/1.79 (define @t4627 () (or @t4622 @t4621 @t4620 @t4619)) % 1.52/1.79 (define @t4628 () (or @t4086 @t4627)) % 1.52/1.79 (define @t4629 () (forall @t4624 @t4628)) % 1.52/1.79 (define @t4630 () (@list @t4617)) % 1.52/1.79 (define @t4631 () (forall @t4630 @t4628)) % 1.52/1.79 (define @t4632 () (forall @t4630 @t4627)) % 1.52/1.79 (define @t4633 () (or @t4086 @t4632)) % 1.52/1.79 (define @t4634 () (tptp.in @t4 @t4082)) % 1.52/1.79 (define @t4635 () (not @t4634)) % 1.52/1.79 (define @t4636 () (tptp.in @t4 @t1131)) % 1.52/1.79 (define @t4637 () (forall @t9 (or @t2125 @t2515 @t4636 @t4635))) % 1.52/1.79 (define @t4638 () (or @t4090 @t4637)) % 1.52/1.79 (define @t4639 () (or @t197 @t696 @t1168 @t1326)) % 1.52/1.79 (define @t4640 () (or @t696 @t1168 @t1326)) % 1.52/1.79 (define @t4641 () (not @t1225)) % 1.52/1.79 (define @t4642 () (not @t1217)) % 1.52/1.79 (define @t4643 () (=> tptp.binunionTEcontra @t4610)) % 1.52/1.79 (define @t4644 () (or @t2344 @t2343 @t2342 @t2341 @t2340)) % 1.52/1.79 (define @t4645 () (or @t2184 @t4644)) % 1.52/1.79 (define @t4646 () (forall @t2346 @t4645)) % 1.52/1.79 (define @t4647 () (@list @t2338 @t2339)) % 1.52/1.79 (define @t4648 () (forall @t4647 @t4645)) % 1.52/1.79 (define @t4649 () (forall @t4647 @t4644)) % 1.52/1.79 (define @t4650 () (@var "BOUND_VARIABLE_15677" $$unsorted)) % 1.52/1.79 (define @t4651 () (or @t2184 @t4649)) % 1.52/1.79 (define @t4652 () (tptp.in @t4650 @t1131)) % 1.52/1.79 (define @t4653 () (tptp.in @t4650 @t695)) % 1.52/1.79 (define @t4654 () (not (tptp.in @t4650 @t4082))) % 1.52/1.79 (define @t4655 () (not (tptp.in @t4650 @t2))) % 1.52/1.79 (define @t4656 () (or @t4086 @t4655 @t4654 @t4653 @t4652)) % 1.52/1.79 (define @t4657 () (@list @t1131 @t4650)) % 1.52/1.79 (define @t4658 () (forall @t4657 @t4656)) % 1.52/1.79 (define @t4659 () (or @t4088 @t4658)) % 1.52/1.79 (define @t4660 () (or @t4655 @t4654 @t4653 @t4652)) % 1.52/1.79 (define @t4661 () (or @t4086 @t4660)) % 1.52/1.79 (define @t4662 () (forall @t4657 @t4661)) % 1.52/1.79 (define @t4663 () (@list @t4650)) % 1.52/1.79 (define @t4664 () (forall @t4663 @t4661)) % 1.52/1.79 (define @t4665 () (forall @t4663 @t4660)) % 1.52/1.79 (define @t4666 () (or @t4086 @t4665)) % 1.52/1.79 (define @t4667 () (forall @t9 (or @t2125 @t4635 @t2515 @t4636))) % 1.52/1.79 (define @t4668 () (or @t4090 @t4667)) % 1.52/1.79 (define @t4669 () (and @t4636 @t3753)) % 1.52/1.79 (define @t4670 () (and @t2515 @t3753)) % 1.52/1.79 (define @t4671 () (or @t2125 @t4635 @t4670 @t4669)) % 1.52/1.79 (define @t4672 () (or @t2125 @t4635 @t4670 @t4669 false)) % 1.52/1.79 (define @t4673 () (and @t4636 @t1063)) % 1.52/1.79 (define @t4674 () (and @t2515 @t1063)) % 1.52/1.79 (define @t4675 () (or @t173 @t2125 @t4635 @t4674 @t4673 @t173)) % 1.52/1.79 (define @t4676 () (or @t2125 @t4635 @t4674 @t4673 @t173)) % 1.52/1.79 (define @t4677 () (forall @t179 @t4676)) % 1.52/1.79 (define @t4678 () (forall @t9 @t4677)) % 1.52/1.79 (define @t4679 () (@list @t4 @t173)) % 1.52/1.79 (define @t4680 () (forall @t4679 @t4676)) % 1.52/1.79 (define @t4681 () (and @t1168 @t1063)) % 1.52/1.79 (define @t4682 () (and @t696 @t1063)) % 1.52/1.79 (define @t4683 () (or @t197 @t1326 @t4682 @t4681 @t173)) % 1.52/1.79 (define @t4684 () (or @t1326 @t4682 @t4681 @t173)) % 1.52/1.79 (define @t4685 () (or @t4682 @t4681 @t173)) % 1.52/1.79 (define @t4686 () (=> tptp.binunionTE @t4643)) % 1.52/1.79 (define @t4687 () (=> tptp.inComplementUnionImpInComplement1 @t4686)) % 1.52/1.79 (define @t4688 () (or @t2352 @t2351 @t2350 @t2348)) % 1.52/1.79 (define @t4689 () (or @t2184 @t4688)) % 1.52/1.79 (define @t4690 () (forall @t2354 @t4689)) % 1.52/1.79 (define @t4691 () (@list @t2349 @t2347)) % 1.52/1.79 (define @t4692 () (forall @t4691 @t4689)) % 1.52/1.79 (define @t4693 () (forall @t4691 @t4688)) % 1.52/1.79 (define @t4694 () (@var "BOUND_VARIABLE_15555" $$unsorted)) % 1.52/1.79 (define @t4695 () (or @t2184 @t4693)) % 1.52/1.79 (define @t4696 () (not (tptp.in @t4694 @t695))) % 1.52/1.79 (define @t4697 () (not (tptp.in @t4694 @t4083))) % 1.52/1.79 (define @t4698 () (not (tptp.in @t4694 @t2))) % 1.52/1.79 (define @t4699 () (or @t4086 @t4698 @t4697 @t4696)) % 1.52/1.79 (define @t4700 () (@list @t1131 @t4694)) % 1.52/1.79 (define @t4701 () (forall @t4700 @t4699)) % 1.52/1.79 (define @t4702 () (or @t4088 @t4701)) % 1.52/1.79 (define @t4703 () (or @t4698 @t4697 @t4696)) % 1.52/1.79 (define @t4704 () (or @t4086 @t4703)) % 1.52/1.79 (define @t4705 () (forall @t4700 @t4704)) % 1.52/1.79 (define @t4706 () (@list @t4694)) % 1.52/1.79 (define @t4707 () (forall @t4706 @t4704)) % 1.52/1.79 (define @t4708 () (forall @t4706 @t4703)) % 1.52/1.79 (define @t4709 () (or @t4086 @t4708)) % 1.52/1.79 (define @t4710 () (forall @t9 (or @t2125 @t4484 @t2516))) % 1.52/1.79 (define @t4711 () (or @t4090 @t4710)) % 1.52/1.79 (define @t4712 () (or @t197 @t4487 @t1217)) % 1.52/1.79 (define @t4713 () (=> tptp.inComplementUnionImpNotIn1 @t4687)) % 1.52/1.79 (define @t4714 () (=> tptp.intersectInPowersetIntersectUnions @t4713)) % 1.52/1.79 (define @t4715 () (or @t2362 @t2361 @t2360 @t2359 @t2358)) % 1.52/1.79 (define @t4716 () (or @t2184 @t4715)) % 1.52/1.79 (define @t4717 () (forall @t2364 @t4716)) % 1.52/1.79 (define @t4718 () (@list @t2356 @t2355 @t2357)) % 1.52/1.79 (define @t4719 () (forall @t4718 @t4716)) % 1.52/1.79 (define @t4720 () (forall @t4718 @t4715)) % 1.52/1.79 (define @t4721 () (@var "BOUND_VARIABLE_15430" $$unsorted)) % 1.52/1.79 (define @t4722 () (@var "BOUND_VARIABLE_15428" $$unsorted)) % 1.52/1.79 (define @t4723 () (or @t2184 @t4720)) % 1.52/1.79 (define @t4724 () (tptp.in @t4721 (tptp.binintersect (tptp.binunion @t695 @t4722) (tptp.binunion @t1131 @t4722)))) % 1.52/1.79 (define @t4725 () (not (tptp.in @t4721 @t4117))) % 1.52/1.79 (define @t4726 () (not (tptp.in @t4721 @t2))) % 1.52/1.79 (define @t4727 () (not (tptp.in @t4722 @t2181))) % 1.52/1.79 (define @t4728 () (or @t4086 @t4727 @t4726 @t4725 @t4724)) % 1.52/1.79 (define @t4729 () (@list @t1131 @t4722 @t4721)) % 1.52/1.79 (define @t4730 () (forall @t4729 @t4728)) % 1.52/1.79 (define @t4731 () (or @t4088 @t4730)) % 1.52/1.79 (define @t4732 () (or @t4727 @t4726 @t4725 @t4724)) % 1.52/1.79 (define @t4733 () (or @t4086 @t4732)) % 1.52/1.79 (define @t4734 () (forall @t4729 @t4733)) % 1.52/1.79 (define @t4735 () (@list @t4722 @t4721)) % 1.52/1.79 (define @t4736 () (forall @t4735 @t4733)) % 1.52/1.79 (define @t4737 () (forall @t4735 @t4732)) % 1.52/1.79 (define @t4738 () (@var "BOUND_VARIABLE_15409" $$unsorted)) % 1.52/1.79 (define @t4739 () (or @t4086 @t4737)) % 1.52/1.79 (define @t4740 () (tptp.in @t4738 @t4134)) % 1.52/1.79 (define @t4741 () (not (tptp.in @t4738 @t4117))) % 1.52/1.79 (define @t4742 () (not (tptp.in @t4738 @t2))) % 1.52/1.79 (define @t4743 () (or @t4138 @t4742 @t4741 @t4740)) % 1.52/1.79 (define @t4744 () (@list @t1341 @t4738)) % 1.52/1.79 (define @t4745 () (forall @t4744 @t4743)) % 1.52/1.79 (define @t4746 () (or @t4090 @t4745)) % 1.52/1.79 (define @t4747 () (or @t4742 @t4741 @t4740)) % 1.52/1.79 (define @t4748 () (or @t4138 @t4747)) % 1.52/1.79 (define @t4749 () (forall @t4744 @t4748)) % 1.52/1.79 (define @t4750 () (@list @t4738)) % 1.52/1.79 (define @t4751 () (forall @t4750 @t4748)) % 1.52/1.79 (define @t4752 () (forall @t4750 @t4747)) % 1.52/1.79 (define @t4753 () (or @t4138 @t4752)) % 1.52/1.79 (define @t4754 () (tptp.in @t4 @t4134)) % 1.52/1.79 (define @t4755 () (forall @t9 (or @t2125 @t4385 @t4754))) % 1.52/1.79 (define @t4756 () (or @t4142 @t4755)) % 1.52/1.79 (define @t4757 () (or @t197 @t1216 @t1368)) % 1.52/1.79 (define @t4758 () (=> tptp.inIntersectImpInIntersectUnions @t4714)) % 1.52/1.79 (define @t4759 () (or @t2372 @t2371 @t2370 @t2369 @t2368)) % 1.52/1.79 (define @t4760 () (or @t2184 @t4759)) % 1.52/1.79 (define @t4761 () (forall @t2374 @t4760)) % 1.52/1.79 (define @t4762 () (@list @t2366 @t2365 @t2367)) % 1.52/1.79 (define @t4763 () (forall @t4762 @t4760)) % 1.52/1.79 (define @t4764 () (forall @t4762 @t4759)) % 1.52/1.79 (define @t4765 () (@var "BOUND_VARIABLE_15346" $$unsorted)) % 1.52/1.79 (define @t4766 () (@var "BOUND_VARIABLE_15344" $$unsorted)) % 1.52/1.79 (define @t4767 () (or @t2184 @t4764)) % 1.52/1.79 (define @t4768 () (tptp.in @t4765 (tptp.binunion @t1131 @t4766))) % 1.52/1.79 (define @t4769 () (not (tptp.in @t4765 @t4117))) % 1.52/1.79 (define @t4770 () (not (tptp.in @t4765 @t2))) % 1.52/1.79 (define @t4771 () (not (tptp.in @t4766 @t2181))) % 1.52/1.79 (define @t4772 () (or @t4086 @t4771 @t4770 @t4769 @t4768)) % 1.52/1.79 (define @t4773 () (@list @t1131 @t4766 @t4765)) % 1.52/1.79 (define @t4774 () (forall @t4773 @t4772)) % 1.52/1.79 (define @t4775 () (or @t4088 @t4774)) % 1.52/1.79 (define @t4776 () (or @t4771 @t4770 @t4769 @t4768)) % 1.52/1.79 (define @t4777 () (or @t4086 @t4776)) % 1.52/1.79 (define @t4778 () (forall @t4773 @t4777)) % 1.52/1.79 (define @t4779 () (@list @t4766 @t4765)) % 1.52/1.79 (define @t4780 () (forall @t4779 @t4777)) % 1.52/1.79 (define @t4781 () (forall @t4779 @t4776)) % 1.52/1.79 (define @t4782 () (@var "BOUND_VARIABLE_15325" $$unsorted)) % 1.52/1.79 (define @t4783 () (or @t4086 @t4781)) % 1.52/1.79 (define @t4784 () (tptp.in @t4782 @t4132)) % 1.52/1.79 (define @t4785 () (not (tptp.in @t4782 @t4117))) % 1.52/1.79 (define @t4786 () (not (tptp.in @t4782 @t2))) % 1.52/1.79 (define @t4787 () (or @t4138 @t4786 @t4785 @t4784)) % 1.52/1.79 (define @t4788 () (@list @t1341 @t4782)) % 1.52/1.79 (define @t4789 () (forall @t4788 @t4787)) % 1.52/1.79 (define @t4790 () (or @t4090 @t4789)) % 1.52/1.79 (define @t4791 () (or @t4786 @t4785 @t4784)) % 1.52/1.79 (define @t4792 () (or @t4138 @t4791)) % 1.52/1.79 (define @t4793 () (forall @t4788 @t4792)) % 1.52/1.79 (define @t4794 () (@list @t4782)) % 1.52/1.79 (define @t4795 () (forall @t4794 @t4792)) % 1.52/1.79 (define @t4796 () (forall @t4794 @t4791)) % 1.52/1.79 (define @t4797 () (or @t4138 @t4796)) % 1.52/1.79 (define @t4798 () (tptp.in @t4 @t4132)) % 1.52/1.79 (define @t4799 () (forall @t9 (or @t2125 @t4385 @t4798))) % 1.52/1.79 (define @t4800 () (or @t4142 @t4799)) % 1.52/1.79 (define @t4801 () (or @t197 @t1216 @t1357)) % 1.52/1.79 (define @t4802 () (=> tptp.inIntersectImpInUnion2 @t4758)) % 1.52/1.79 (define @t4803 () (or @t2382 @t2381 @t2380 @t2379 @t2377)) % 1.52/1.79 (define @t4804 () (or @t2184 @t4803)) % 1.52/1.79 (define @t4805 () (forall @t2384 @t4804)) % 1.52/1.79 (define @t4806 () (@list @t2378 @t2375 @t2376)) % 1.52/1.79 (define @t4807 () (forall @t4806 @t4804)) % 1.52/1.79 (define @t4808 () (forall @t4806 @t4803)) % 1.52/1.79 (define @t4809 () (@var "BOUND_VARIABLE_15264" $$unsorted)) % 1.52/1.79 (define @t4810 () (@var "BOUND_VARIABLE_15262" $$unsorted)) % 1.52/1.79 (define @t4811 () (or @t2184 @t4808)) % 1.52/1.79 (define @t4812 () (tptp.in @t4809 (tptp.binunion @t695 @t4810))) % 1.52/1.79 (define @t4813 () (not (tptp.in @t4809 @t4117))) % 1.52/1.79 (define @t4814 () (not (tptp.in @t4809 @t2))) % 1.52/1.79 (define @t4815 () (not (tptp.in @t4810 @t2181))) % 1.52/1.79 (define @t4816 () (or @t4086 @t4815 @t4814 @t4813 @t4812)) % 1.52/1.79 (define @t4817 () (@list @t1131 @t4810 @t4809)) % 1.52/1.79 (define @t4818 () (forall @t4817 @t4816)) % 1.52/1.79 (define @t4819 () (or @t4088 @t4818)) % 1.52/1.79 (define @t4820 () (or @t4815 @t4814 @t4813 @t4812)) % 1.52/1.79 (define @t4821 () (or @t4086 @t4820)) % 1.52/1.79 (define @t4822 () (forall @t4817 @t4821)) % 1.52/1.79 (define @t4823 () (@list @t4810 @t4809)) % 1.52/1.79 (define @t4824 () (forall @t4823 @t4821)) % 1.52/1.79 (define @t4825 () (forall @t4823 @t4820)) % 1.52/1.79 (define @t4826 () (@var "BOUND_VARIABLE_15243" $$unsorted)) % 1.52/1.79 (define @t4827 () (or @t4086 @t4825)) % 1.52/1.79 (define @t4828 () (tptp.in @t4826 @t4133)) % 1.52/1.79 (define @t4829 () (not (tptp.in @t4826 @t4117))) % 1.52/1.79 (define @t4830 () (not (tptp.in @t4826 @t2))) % 1.52/1.79 (define @t4831 () (or @t4138 @t4830 @t4829 @t4828)) % 1.52/1.79 (define @t4832 () (@list @t1341 @t4826)) % 1.52/1.79 (define @t4833 () (forall @t4832 @t4831)) % 1.52/1.79 (define @t4834 () (or @t4090 @t4833)) % 1.52/1.79 (define @t4835 () (or @t4830 @t4829 @t4828)) % 1.52/1.79 (define @t4836 () (or @t4138 @t4835)) % 1.52/1.79 (define @t4837 () (forall @t4832 @t4836)) % 1.52/1.79 (define @t4838 () (@list @t4826)) % 1.52/1.79 (define @t4839 () (forall @t4838 @t4836)) % 1.52/1.79 (define @t4840 () (forall @t4838 @t4835)) % 1.52/1.79 (define @t4841 () (or @t4138 @t4840)) % 1.52/1.79 (define @t4842 () (tptp.in @t4 @t4133)) % 1.52/1.79 (define @t4843 () (forall @t9 (or @t2125 @t4385 @t4842))) % 1.52/1.79 (define @t4844 () (or @t4142 @t4843)) % 1.52/1.79 (define @t4845 () (or @t197 @t1216 @t1343)) % 1.52/1.79 (define @t4846 () (=> tptp.inIntersectImpInUnion @t4802)) % 1.52/1.79 (define @t4847 () (or @t2390 @t2389 @t2388 @t2387)) % 1.52/1.79 (define @t4848 () (or @t2184 @t4847)) % 1.52/1.79 (define @t4849 () (forall @t2392 @t4848)) % 1.52/1.79 (define @t4850 () (@list @t2385 @t2386)) % 1.52/1.79 (define @t4851 () (forall @t4850 @t4848)) % 1.52/1.79 (define @t4852 () (forall @t4850 @t4847)) % 1.52/1.79 (define @t4853 () (@var "BOUND_VARIABLE_15186" $$unsorted)) % 1.52/1.79 (define @t4854 () (or @t2184 @t4852)) % 1.52/1.79 (define @t4855 () (not (tptp.in @t4853 @t1131))) % 1.52/1.79 (define @t4856 () (tptp.in @t4853 @t4082)) % 1.52/1.79 (define @t4857 () (not (tptp.in @t4853 @t2))) % 1.52/1.79 (define @t4858 () (or @t4086 @t4857 @t4856 @t4855)) % 1.52/1.79 (define @t4859 () (@list @t1131 @t4853)) % 1.52/1.79 (define @t4860 () (forall @t4859 @t4858)) % 1.52/1.79 (define @t4861 () (or @t4088 @t4860)) % 1.52/1.79 (define @t4862 () (or @t4857 @t4856 @t4855)) % 1.52/1.79 (define @t4863 () (or @t4086 @t4862)) % 1.52/1.79 (define @t4864 () (forall @t4859 @t4863)) % 1.52/1.79 (define @t4865 () (@list @t4853)) % 1.52/1.79 (define @t4866 () (forall @t4865 @t4863)) % 1.52/1.79 (define @t4867 () (forall @t4865 @t4862)) % 1.52/1.79 (define @t4868 () (or @t4086 @t4867)) % 1.52/1.79 (define @t4869 () (not @t4636)) % 1.52/1.79 (define @t4870 () (forall @t9 (or @t2125 @t4634 @t4869))) % 1.52/1.79 (define @t4871 () (or @t4090 @t4870)) % 1.52/1.79 (define @t4872 () (or @t197 @t1325 @t1225)) % 1.52/1.79 (define @t4873 () (not @t1326)) % 1.52/1.79 (define @t4874 () (=> tptp.binunionTIRcontra @t4846)) % 1.52/1.79 (define @t4875 () (or @t2398 @t2397 @t2396 @t2394)) % 1.52/1.79 (define @t4876 () (or @t2184 @t4875)) % 1.52/1.79 (define @t4877 () (forall @t2400 @t4876)) % 1.52/1.79 (define @t4878 () (@list @t2395 @t2393)) % 1.52/1.79 (define @t4879 () (forall @t4878 @t4876)) % 1.52/1.79 (define @t4880 () (forall @t4878 @t4875)) % 1.52/1.79 (define @t4881 () (@var "BOUND_VARIABLE_15136" $$unsorted)) % 1.52/1.79 (define @t4882 () (or @t2184 @t4880)) % 1.52/1.79 (define @t4883 () (not (tptp.in @t4881 @t695))) % 1.52/1.79 (define @t4884 () (tptp.in @t4881 @t4082)) % 1.52/1.79 (define @t4885 () (not (tptp.in @t4881 @t2))) % 1.52/1.79 (define @t4886 () (or @t4086 @t4885 @t4884 @t4883)) % 1.52/1.79 (define @t4887 () (@list @t1131 @t4881)) % 1.52/1.79 (define @t4888 () (forall @t4887 @t4886)) % 1.52/1.79 (define @t4889 () (or @t4088 @t4888)) % 1.52/1.79 (define @t4890 () (or @t4885 @t4884 @t4883)) % 1.52/1.79 (define @t4891 () (or @t4086 @t4890)) % 1.52/1.79 (define @t4892 () (forall @t4887 @t4891)) % 1.52/1.79 (define @t4893 () (@list @t4881)) % 1.52/1.79 (define @t4894 () (forall @t4893 @t4891)) % 1.52/1.79 (define @t4895 () (forall @t4893 @t4890)) % 1.52/1.79 (define @t4896 () (or @t4086 @t4895)) % 1.52/1.79 (define @t4897 () (forall @t9 (or @t2125 @t4634 @t2516))) % 1.52/1.79 (define @t4898 () (or @t4090 @t4897)) % 1.52/1.79 (define @t4899 () (or @t197 @t1325 @t1217)) % 1.52/1.79 (define @t4900 () (=> tptp.binunionTILcontra @t4874)) % 1.52/1.79 (define @t4901 () (=> tptp.complementTcontraSubset @t4900)) % 1.52/1.79 (define @t4902 () (or @t2407 @t2406 @t2405 @t2404 @t2402)) % 1.52/1.79 (define @t4903 () (or @t2184 @t4902)) % 1.52/1.79 (define @t4904 () (forall @t2409 @t4903)) % 1.52/1.79 (define @t4905 () (@list @t2403 @t2401)) % 1.52/1.79 (define @t4906 () (forall @t4905 @t4903)) % 1.52/1.79 (define @t4907 () (forall @t4905 @t4902)) % 1.52/1.79 (define @t4908 () (@var "BOUND_VARIABLE_15053" $$unsorted)) % 1.52/1.79 (define @t4909 () (or @t2184 @t4907)) % 1.52/1.79 (define @t4910 () (tptp.in @t4908 @t2177)) % 1.52/1.79 (define @t4911 () (not (tptp.in @t4908 @t1131))) % 1.52/1.79 (define @t4912 () (not (tptp.in @t4908 @t2))) % 1.52/1.79 (define @t4913 () (or @t4086 @t4103 @t4912 @t4911 @t4910)) % 1.52/1.79 (define @t4914 () (@list @t1131 @t4908)) % 1.52/1.79 (define @t4915 () (forall @t4914 @t4913)) % 1.52/1.79 (define @t4916 () (or @t4088 @t4915)) % 1.52/1.79 (define @t4917 () (or @t4912 @t4911 @t4910)) % 1.52/1.79 (define @t4918 () (or @t4086 @t4103 @t4917)) % 1.52/1.79 (define @t4919 () (forall @t4914 @t4918)) % 1.52/1.79 (define @t4920 () (@list @t4908)) % 1.52/1.79 (define @t4921 () (forall @t4920 @t4918)) % 1.52/1.79 (define @t4922 () (forall @t4920 @t4917)) % 1.52/1.79 (define @t4923 () (or @t4086 @t4103 @t4922)) % 1.52/1.79 (define @t4924 () (forall @t9 (or @t2125 @t4869 @t4454))) % 1.52/1.79 (define @t4925 () (or @t4090 @t4106 @t4924)) % 1.52/1.79 (define @t4926 () (=> @t1235 @t4924)) % 1.52/1.79 (define @t4927 () (or @t197 @t1225 @t1203)) % 1.52/1.79 (define @t4928 () (=> tptp.contraSubsetComplement @t4901)) % 1.52/1.79 (define @t4929 () (=> tptp.complementInPowersetComplementIntersect @t4928)) % 1.52/1.79 (define @t4930 () (or @t2412 @t2411)) % 1.52/1.79 (define @t4931 () (or @t2184 @t4930)) % 1.52/1.79 (define @t4932 () (forall @t2414 @t4931)) % 1.52/1.79 (define @t4933 () (@list @t2410)) % 1.52/1.79 (define @t4934 () (forall @t4933 @t4931)) % 1.52/1.79 (define @t4935 () (forall @t4933 @t4930)) % 1.52/1.79 (define @t4936 () (or @t2184 @t4935)) % 1.52/1.79 (define @t4937 () (tptp.subset @t2177 @t4205)) % 1.52/1.79 (define @t4938 () (forall @t1137 (or @t4086 @t4937))) % 1.52/1.79 (define @t4939 () (or @t4088 @t4938)) % 1.52/1.79 (define @t4940 () (or @t4090 @t1299)) % 1.52/1.79 (define @t4941 () (=> tptp.complementSubsetComplementIntersect @t4929)) % 1.52/1.79 (define @t4942 () (or @t2420 @t2419 @t2418 @t2417)) % 1.52/1.79 (define @t4943 () (or @t2184 @t4942)) % 1.52/1.79 (define @t4944 () (forall @t2422 @t4943)) % 1.52/1.79 (define @t4945 () (@list @t2415 @t2416)) % 1.52/1.79 (define @t4946 () (forall @t4945 @t4943)) % 1.52/1.79 (define @t4947 () (forall @t4945 @t4942)) % 1.52/1.79 (define @t4948 () (@var "BOUND_VARIABLE_14942" $$unsorted)) % 1.52/1.79 (define @t4949 () (or @t2184 @t4947)) % 1.52/1.79 (define @t4950 () (tptp.in @t4948 @t4205)) % 1.52/1.79 (define @t4951 () (not (tptp.in @t4948 @t2177))) % 1.52/1.79 (define @t4952 () (not (tptp.in @t4948 @t2))) % 1.52/1.79 (define @t4953 () (or @t4086 @t4952 @t4951 @t4950)) % 1.52/1.79 (define @t4954 () (@list @t1131 @t4948)) % 1.52/1.79 (define @t4955 () (forall @t4954 @t4953)) % 1.52/1.79 (define @t4956 () (or @t4088 @t4955)) % 1.52/1.79 (define @t4957 () (or @t4952 @t4951 @t4950)) % 1.52/1.79 (define @t4958 () (or @t4086 @t4957)) % 1.52/1.79 (define @t4959 () (forall @t4954 @t4958)) % 1.52/1.79 (define @t4960 () (@list @t4948)) % 1.52/1.79 (define @t4961 () (forall @t4960 @t4958)) % 1.52/1.79 (define @t4962 () (forall @t4960 @t4957)) % 1.52/1.79 (define @t4963 () (or @t4086 @t4962)) % 1.52/1.79 (define @t4964 () (forall @t9 (or @t2125 @t4455 @t4524))) % 1.52/1.79 (define @t4965 () (or @t4090 @t4964)) % 1.52/1.79 (define @t4966 () (or @t197 @t1204 @t1291)) % 1.52/1.79 (define @t4967 () (=> tptp.complementImpComplementIntersect @t4941)) % 1.52/1.79 (define @t4968 () (or @t2428 @t2427 @t2426 @t2425)) % 1.52/1.79 (define @t4969 () (or @t2184 @t4968)) % 1.52/1.79 (define @t4970 () (forall @t2430 @t4969)) % 1.52/1.79 (define @t4971 () (@list @t2423 @t2424)) % 1.52/1.79 (define @t4972 () (forall @t4971 @t4969)) % 1.52/1.79 (define @t4973 () (forall @t4971 @t4968)) % 1.52/1.79 (define @t4974 () (@var "BOUND_VARIABLE_14886" $$unsorted)) % 1.52/1.79 (define @t4975 () (or @t2184 @t4973)) % 1.52/1.79 (define @t4976 () (not (tptp.in @t4974 @t4117))) % 1.52/1.79 (define @t4977 () (not (tptp.in @t4974 @t2177))) % 1.52/1.79 (define @t4978 () (not (tptp.in @t4974 @t2))) % 1.52/1.79 (define @t4979 () (or @t4086 @t4978 @t4977 @t4976)) % 1.52/1.79 (define @t4980 () (@list @t1131 @t4974)) % 1.52/1.79 (define @t4981 () (forall @t4980 @t4979)) % 1.52/1.79 (define @t4982 () (or @t4088 @t4981)) % 1.52/1.79 (define @t4983 () (or @t4978 @t4977 @t4976)) % 1.52/1.79 (define @t4984 () (or @t4086 @t4983)) % 1.52/1.79 (define @t4985 () (forall @t4980 @t4984)) % 1.52/1.79 (define @t4986 () (@list @t4974)) % 1.52/1.79 (define @t4987 () (forall @t4986 @t4984)) % 1.52/1.79 (define @t4988 () (forall @t4986 @t4983)) % 1.52/1.79 (define @t4989 () (or @t4086 @t4988)) % 1.52/1.79 (define @t4990 () (forall @t9 (or @t2125 @t4455 @t4385))) % 1.52/1.79 (define @t4991 () (or @t4090 @t4990)) % 1.52/1.79 (define @t4992 () (or @t197 @t1204 @t1216)) % 1.52/1.79 (define @t4993 () (=> tptp.complementTnotintersectT @t4967)) % 1.52/1.79 (define @t4994 () (or @t4088 @t1280)) % 1.52/1.79 (define @t4995 () (=> tptp.doubleComplementEq @t4993)) % 1.52/1.79 (define @t4996 () (or @t4088 @t1277)) % 1.52/1.79 (define @t4997 () (=> tptp.doubleComplementSub2 @t4995)) % 1.52/1.79 (define @t4998 () (or @t4088 @t1274)) % 1.52/1.79 (define @t4999 () (=> tptp.doubleComplementSub1 @t4997)) % 1.52/1.79 (define @t5000 () (or @t2437 @t2436 @t2435)) % 1.52/1.79 (define @t5001 () (or @t2184 @t5000)) % 1.52/1.79 (define @t5002 () (forall @t2439 @t5001)) % 1.52/1.79 (define @t5003 () (@list @t2434)) % 1.52/1.79 (define @t5004 () (forall @t5003 @t5001)) % 1.52/1.79 (define @t5005 () (forall @t5003 @t5000)) % 1.52/1.79 (define @t5006 () (or @t2184 @t5005)) % 1.52/1.79 (define @t5007 () (tptp.in @t4 @t2431)) % 1.52/1.79 (define @t5008 () (forall @t9 (or @t2125 (not @t5007) @t2515))) % 1.52/1.79 (define @t5009 () (or @t4088 @t5008)) % 1.52/1.79 (define @t5010 () (not @t1263)) % 1.52/1.79 (define @t5011 () (or @t197 @t5010 @t696)) % 1.52/1.79 (define @t5012 () (=> tptp.doubleComplementE1 @t4999)) % 1.52/1.79 (define @t5013 () (or @t2443 @t2442 @t2441)) % 1.52/1.79 (define @t5014 () (or @t2184 @t5013)) % 1.52/1.79 (define @t5015 () (forall @t2445 @t5014)) % 1.52/1.79 (define @t5016 () (@list @t2440)) % 1.52/1.79 (define @t5017 () (forall @t5016 @t5014)) % 1.52/1.79 (define @t5018 () (forall @t5016 @t5013)) % 1.52/1.79 (define @t5019 () (or @t2184 @t5018)) % 1.52/1.79 (define @t5020 () (forall @t9 (or @t2125 @t2516 @t5007))) % 1.52/1.79 (define @t5021 () (or @t4088 @t5020)) % 1.52/1.79 (define @t5022 () (or @t197 @t1217 @t1263)) % 1.52/1.79 (define @t5023 () (=> tptp.doubleComplementI1 @t5012)) % 1.52/1.79 (define @t5024 () (or @t2449 @t2448 @t2447)) % 1.52/1.79 (define @t5025 () (or @t2184 @t5024)) % 1.52/1.79 (define @t5026 () (forall @t2451 @t5025)) % 1.52/1.79 (define @t5027 () (@list @t2446)) % 1.52/1.79 (define @t5028 () (forall @t5027 @t5025)) % 1.52/1.79 (define @t5029 () (forall @t5027 @t5024)) % 1.52/1.79 (define @t5030 () (or @t2184 @t5029)) % 1.52/1.79 (define @t5031 () (tptp.subset @t4101 @t2177)) % 1.52/1.79 (define @t5032 () (forall @t1137 (or @t4086 (not @t5031) @t4282))) % 1.52/1.79 (define @t5033 () (or @t4088 @t5032)) % 1.52/1.79 (define @t5034 () (not @t1251)) % 1.52/1.79 (define @t5035 () (or @t4090 @t5034 @t1181)) % 1.52/1.79 (define @t5036 () (=> tptp.contrasubsetT3 @t5023)) % 1.52/1.79 (define @t5037 () (or @t2455 @t2454 @t2453)) % 1.52/1.79 (define @t5038 () (or @t2184 @t5037)) % 1.52/1.79 (define @t5039 () (forall @t2457 @t5038)) % 1.52/1.79 (define @t5040 () (@list @t2452)) % 1.52/1.79 (define @t5041 () (forall @t5040 @t5038)) % 1.52/1.79 (define @t5042 () (forall @t5040 @t5037)) % 1.52/1.79 (define @t5043 () (or @t2184 @t5042)) % 1.52/1.79 (define @t5044 () (forall @t1137 (or @t4086 @t4283 @t5031))) % 1.52/1.79 (define @t5045 () (or @t4088 @t5044)) % 1.52/1.79 (define @t5046 () (or @t4090 @t4298 @t1251)) % 1.52/1.79 (define @t5047 () (=> tptp.contrasubsetT2 @t5036)) % 1.52/1.79 (define @t5048 () (or @t2464 @t2463 @t2462 @t2461 @t2459)) % 1.52/1.79 (define @t5049 () (or @t2184 @t5048)) % 1.52/1.79 (define @t5050 () (forall @t2466 @t5049)) % 1.52/1.79 (define @t5051 () (@list @t2460 @t2458)) % 1.52/1.79 (define @t5052 () (forall @t5051 @t5049)) % 1.52/1.79 (define @t5053 () (forall @t5051 @t5048)) % 1.52/1.79 (define @t5054 () (@var "BOUND_VARIABLE_14694" $$unsorted)) % 1.52/1.79 (define @t5055 () (or @t2184 @t5053)) % 1.52/1.79 (define @t5056 () (not (tptp.in @t5054 @t695))) % 1.52/1.79 (define @t5057 () (tptp.in @t5054 @t1131)) % 1.52/1.79 (define @t5058 () (not (tptp.in @t5054 @t2))) % 1.52/1.79 (define @t5059 () (or @t4086 @t4283 @t5058 @t5057 @t5056)) % 1.52/1.79 (define @t5060 () (@list @t1131 @t5054)) % 1.52/1.79 (define @t5061 () (forall @t5060 @t5059)) % 1.52/1.79 (define @t5062 () (or @t4088 @t5061)) % 1.52/1.79 (define @t5063 () (or @t5058 @t5057 @t5056)) % 1.52/1.79 (define @t5064 () (or @t4086 @t4283 @t5063)) % 1.52/1.79 (define @t5065 () (forall @t5060 @t5064)) % 1.52/1.79 (define @t5066 () (@list @t5054)) % 1.52/1.79 (define @t5067 () (forall @t5066 @t5064)) % 1.52/1.79 (define @t5068 () (forall @t5066 @t5063)) % 1.52/1.79 (define @t5069 () (or @t4086 @t4283 @t5068)) % 1.52/1.79 (define @t5070 () (forall @t9 (or @t2125 @t4636 @t2516))) % 1.52/1.79 (define @t5071 () (or @t4090 @t4298 @t5070)) % 1.52/1.79 (define @t5072 () (or @t4298 @t5070)) % 1.52/1.79 (define @t5073 () (or @t197 @t1168 @t1217)) % 1.52/1.79 (define @t5074 () (forall @t9 @t5073)) % 1.52/1.79 (define @t5075 () (or @t4298 @t5074)) % 1.52/1.79 (define @t5076 () (or @t4298 @t5073)) % 1.52/1.79 (define @t5077 () (or @t197 @t4298 @t1168 @t1217)) % 1.52/1.79 (define @t5078 () (or @t4298 @t1168 @t1217)) % 1.52/1.79 (define @t5079 () (=> tptp.contrasubsetT1 @t5047)) % 1.52/1.79 (define @t5080 () (or @t2473 @t2472 @t2471 @t2470 @t2468)) % 1.52/1.79 (define @t5081 () (or @t2184 @t5080)) % 1.52/1.79 (define @t5082 () (forall @t2475 @t5081)) % 1.52/1.79 (define @t5083 () (@list @t2469 @t2467)) % 1.52/1.79 (define @t5084 () (forall @t5083 @t5081)) % 1.52/1.79 (define @t5085 () (forall @t5083 @t5080)) % 1.52/1.79 (define @t5086 () (@var "BOUND_VARIABLE_14633" $$unsorted)) % 1.52/1.79 (define @t5087 () (or @t2184 @t5085)) % 1.52/1.79 (define @t5088 () (not (tptp.in @t5086 @t695))) % 1.52/1.79 (define @t5089 () (not (tptp.in @t5086 @t1131))) % 1.52/1.79 (define @t5090 () (not (tptp.in @t5086 @t2))) % 1.52/1.79 (define @t5091 () (or @t4086 @t4103 @t5090 @t5089 @t5088)) % 1.52/1.79 (define @t5092 () (@list @t1131 @t5086)) % 1.52/1.79 (define @t5093 () (forall @t5092 @t5091)) % 1.52/1.79 (define @t5094 () (or @t4088 @t5093)) % 1.52/1.79 (define @t5095 () (or @t5090 @t5089 @t5088)) % 1.52/1.79 (define @t5096 () (or @t4086 @t4103 @t5095)) % 1.52/1.79 (define @t5097 () (forall @t5092 @t5096)) % 1.52/1.79 (define @t5098 () (@list @t5086)) % 1.52/1.79 (define @t5099 () (forall @t5098 @t5096)) % 1.52/1.79 (define @t5100 () (forall @t5098 @t5095)) % 1.52/1.79 (define @t5101 () (or @t4086 @t4103 @t5100)) % 1.52/1.79 (define @t5102 () (forall @t9 (or @t2125 @t4869 @t2516))) % 1.52/1.79 (define @t5103 () (or @t4090 @t4106 @t5102)) % 1.52/1.79 (define @t5104 () (or @t4106 @t5102)) % 1.52/1.79 (define @t5105 () (or @t197 @t1225 @t1217)) % 1.52/1.79 (define @t5106 () (forall @t9 @t5105)) % 1.52/1.79 (define @t5107 () (or @t4106 @t5106)) % 1.52/1.79 (define @t5108 () (or @t4106 @t5105)) % 1.52/1.79 (define @t5109 () (or @t197 @t4106 @t1225 @t1217)) % 1.52/1.79 (define @t5110 () (or @t4106 @t1225 @t1217)) % 1.52/1.79 (define @t5111 () (=> tptp.contrasubsetT @t5079)) % 1.52/1.79 (define @t5112 () (or @t2481 @t2480 @t2479 @t2478)) % 1.52/1.79 (define @t5113 () (or @t2184 @t5112)) % 1.52/1.79 (define @t5114 () (forall @t2483 @t5113)) % 1.52/1.79 (define @t5115 () (@list @t2476 @t2477)) % 1.52/1.79 (define @t5116 () (forall @t5115 @t5113)) % 1.52/1.79 (define @t5117 () (forall @t5115 @t5112)) % 1.52/1.79 (define @t5118 () (@var "BOUND_VARIABLE_14573" $$unsorted)) % 1.52/1.79 (define @t5119 () (or @t2184 @t5117)) % 1.52/1.79 (define @t5120 () (not (tptp.in @t5118 @t4117))) % 1.52/1.79 (define @t5121 () (tptp.in @t5118 @t1131)) % 1.52/1.79 (define @t5122 () (not (tptp.in @t5118 @t2))) % 1.52/1.79 (define @t5123 () (or @t4086 @t5122 @t5121 @t5120)) % 1.52/1.79 (define @t5124 () (@list @t1131 @t5118)) % 1.52/1.79 (define @t5125 () (forall @t5124 @t5123)) % 1.52/1.79 (define @t5126 () (or @t4088 @t5125)) % 1.52/1.79 (define @t5127 () (or @t5122 @t5121 @t5120)) % 1.52/1.79 (define @t5128 () (or @t4086 @t5127)) % 1.52/1.79 (define @t5129 () (forall @t5124 @t5128)) % 1.52/1.79 (define @t5130 () (@list @t5118)) % 1.52/1.79 (define @t5131 () (forall @t5130 @t5128)) % 1.52/1.79 (define @t5132 () (forall @t5130 @t5127)) % 1.52/1.79 (define @t5133 () (or @t4086 @t5132)) % 1.52/1.79 (define @t5134 () (forall @t9 (or @t2125 @t4636 @t4385))) % 1.52/1.79 (define @t5135 () (or @t4090 @t5134)) % 1.52/1.79 (define @t5136 () (or @t197 @t1168 @t1216)) % 1.52/1.79 (define @t5137 () (=> tptp.binintersectTERcontra @t5111)) % 1.52/1.79 (define @t5138 () (or @t2489 @t2488 @t2487 @t2486)) % 1.52/1.79 (define @t5139 () (or @t2184 @t5138)) % 1.52/1.79 (define @t5140 () (forall @t2491 @t5139)) % 1.52/1.79 (define @t5141 () (@list @t2484 @t2485)) % 1.52/1.79 (define @t5142 () (forall @t5141 @t5139)) % 1.52/1.79 (define @t5143 () (forall @t5141 @t5138)) % 1.52/1.79 (define @t5144 () (@var "BOUND_VARIABLE_14523" $$unsorted)) % 1.52/1.79 (define @t5145 () (or @t2184 @t5143)) % 1.52/1.79 (define @t5146 () (not (tptp.in @t5144 @t4117))) % 1.52/1.79 (define @t5147 () (tptp.in @t5144 @t695)) % 1.52/1.79 (define @t5148 () (not (tptp.in @t5144 @t2))) % 1.52/1.79 (define @t5149 () (or @t4086 @t5148 @t5147 @t5146)) % 1.52/1.79 (define @t5150 () (@list @t1131 @t5144)) % 1.52/1.79 (define @t5151 () (forall @t5150 @t5149)) % 1.52/1.79 (define @t5152 () (or @t4088 @t5151)) % 1.52/1.79 (define @t5153 () (or @t5148 @t5147 @t5146)) % 1.52/1.79 (define @t5154 () (or @t4086 @t5153)) % 1.52/1.79 (define @t5155 () (forall @t5150 @t5154)) % 1.52/1.79 (define @t5156 () (@list @t5144)) % 1.52/1.79 (define @t5157 () (forall @t5156 @t5154)) % 1.52/1.79 (define @t5158 () (forall @t5156 @t5153)) % 1.52/1.79 (define @t5159 () (or @t4086 @t5158)) % 1.52/1.79 (define @t5160 () (forall @t9 (or @t2125 @t2515 @t4385))) % 1.52/1.79 (define @t5161 () (or @t4090 @t5160)) % 1.52/1.79 (define @t5162 () (or @t197 @t696 @t1216)) % 1.52/1.79 (define @t5163 () (=> tptp.binintersectTELcontra @t5137)) % 1.52/1.79 (define @t5164 () (or @t2495 @t2494 @t2493)) % 1.52/1.79 (define @t5165 () (or @t2184 @t5164)) % 1.52/1.79 (define @t5166 () (forall @t2497 @t5165)) % 1.52/1.79 (define @t5167 () (@list @t2492)) % 1.52/1.79 (define @t5168 () (forall @t5167 @t5165)) % 1.52/1.79 (define @t5169 () (forall @t5167 @t5164)) % 1.52/1.79 (define @t5170 () (or @t2184 @t5169)) % 1.52/1.79 (define @t5171 () (forall @t9 (or @t2125 @t4454 @t2515))) % 1.52/1.79 (define @t5172 () (or @t4088 @t5171)) % 1.52/1.79 (define @t5173 () (or @t197 @t1203 @t696)) % 1.52/1.79 (define @t5174 () (=> tptp.complementTE1 @t5163)) % 1.52/1.79 (define @t5175 () (or @t2501 @t2500 @t2499)) % 1.52/1.79 (define @t5176 () (or @t2184 @t5175)) % 1.52/1.79 (define @t5177 () (forall @t2503 @t5176)) % 1.52/1.79 (define @t5178 () (@list @t2498)) % 1.52/1.79 (define @t5179 () (forall @t5178 @t5176)) % 1.52/1.79 (define @t5180 () (forall @t5178 @t5175)) % 1.52/1.79 (define @t5181 () (or @t2184 @t5180)) % 1.52/1.79 (define @t5182 () (forall @t9 (or @t2125 @t2516 @t4455))) % 1.52/1.79 (define @t5183 () (or @t4088 @t5182)) % 1.52/1.79 (define @t5184 () (or @t197 @t1217 @t1204)) % 1.52/1.79 (define @t5185 () (=> tptp.complementTI1 @t5174)) % 1.52/1.79 (define @t5186 () (or @t2510 @t2509 @t2508 @t2507 @t2506)) % 1.52/1.79 (define @t5187 () (or @t2184 @t5186)) % 1.52/1.79 (define @t5188 () (forall @t2512 @t5187)) % 1.52/1.79 (define @t5189 () (@list @t2504 @t2505)) % 1.52/1.79 (define @t5190 () (forall @t5189 @t5187)) % 1.52/1.79 (define @t5191 () (forall @t5189 @t5186)) % 1.52/1.79 (define @t5192 () (@var "BOUND_VARIABLE_14413" $$unsorted)) % 1.52/1.79 (define @t5193 () (or @t2184 @t5191)) % 1.52/1.79 (define @t5194 () (tptp.in @t5192 @t1131)) % 1.52/1.79 (define @t5195 () (not (tptp.in @t5192 @t695))) % 1.52/1.79 (define @t5196 () (not (tptp.in @t5192 @t2))) % 1.52/1.79 (define @t5197 () (tptp.powerset @t1131)) % 1.52/1.79 (define @t5198 () (tptp.in @t695 @t5197)) % 1.52/1.79 (define @t5199 () (not @t5198)) % 1.52/1.79 (define @t5200 () (or @t4086 @t5199 @t5196 @t5195 @t5194)) % 1.52/1.79 (define @t5201 () (@list @t1131 @t5192)) % 1.52/1.79 (define @t5202 () (forall @t5201 @t5200)) % 1.52/1.79 (define @t5203 () (or @t4088 @t5202)) % 1.52/1.79 (define @t5204 () (or @t5196 @t5195 @t5194)) % 1.52/1.79 (define @t5205 () (or @t4086 @t5199 @t5204)) % 1.52/1.79 (define @t5206 () (forall @t5201 @t5205)) % 1.52/1.79 (define @t5207 () (@list @t5192)) % 1.52/1.79 (define @t5208 () (forall @t5207 @t5205)) % 1.52/1.79 (define @t5209 () (forall @t5207 @t5204)) % 1.52/1.79 (define @t5210 () (or @t4086 @t5199 @t5209)) % 1.52/1.79 (define @t5211 () (forall @t9 (or @t2125 @t2516 @t4636))) % 1.52/1.79 (define @t5212 () (not @t1189)) % 1.52/1.79 (define @t5213 () (or @t4090 @t5212 @t5211)) % 1.52/1.79 (define @t5214 () (or @t5212 @t5211)) % 1.52/1.79 (define @t5215 () (or @t197 @t1217 @t1168)) % 1.52/1.79 (define @t5216 () (forall @t9 @t5215)) % 1.52/1.79 (define @t5217 () (or @t5212 @t5216)) % 1.52/1.79 (define @t5218 () (or @t5212 @t5215)) % 1.52/1.79 (define @t5219 () (or @t197 @t5212 @t1217 @t1168)) % 1.52/1.79 (define @t5220 () (or @t5212 @t1217 @t1168)) % 1.52/1.79 (define @t5221 () (or @t1217 @t1168)) % 1.52/1.79 (define @t5222 () (=> tptp.powersetTE1 @t5185)) % 1.52/1.79 (define @t5223 () (or @t2518 @t2517 @t2514)) % 1.52/1.79 (define @t5224 () (or @t2184 @t5223)) % 1.52/1.79 (define @t5225 () (forall @t2520 @t5224)) % 1.52/1.79 (define @t5226 () (@list @t2513)) % 1.52/1.79 (define @t5227 () (forall @t5226 @t5224)) % 1.52/1.79 (define @t5228 () (forall @t5226 @t5223)) % 1.52/1.79 (define @t5229 () (or @t2184 @t5228)) % 1.52/1.79 (define @t5230 () (not @t5211)) % 1.52/1.79 (define @t5231 () (forall @t1137 (or @t4086 @t5230 @t5198))) % 1.52/1.79 (define @t5232 () (or @t4088 @t5231)) % 1.52/1.79 (define @t5233 () (or @t4090 @t5230 @t1189)) % 1.52/1.79 (define @t5234 () (=> @t5211 @t1189)) % 1.52/1.79 (define @t5235 () (=> tptp.powersetTI1 @t5222)) % 1.52/1.79 (define @t5236 () (or @t2524 @t2523 @t2522)) % 1.52/1.79 (define @t5237 () (or @t2184 @t5236)) % 1.52/1.79 (define @t5238 () (forall @t2526 @t5237)) % 1.52/1.79 (define @t5239 () (@list @t2521)) % 1.52/1.79 (define @t5240 () (forall @t5239 @t5237)) % 1.52/1.79 (define @t5241 () (forall @t5239 @t5236)) % 1.52/1.79 (define @t5242 () (or @t2184 @t5241)) % 1.52/1.79 (define @t5243 () (forall @t1137 (or @t4086 @t5230 @t4282))) % 1.52/1.79 (define @t5244 () (or @t4088 @t5243)) % 1.52/1.79 (define @t5245 () (or @t4090 @t5230 @t1181)) % 1.52/1.79 (define @t5246 () (=> @t5211 @t1181)) % 1.52/1.79 (define @t5247 () (=> tptp.subsetTI @t5235)) % 1.52/1.79 (define @t5248 () (or @t2532 @t2531 @t2530 @t2528)) % 1.52/1.79 (define @t5249 () (or @t2184 @t5248)) % 1.52/1.79 (define @t5250 () (forall @t2534 @t5249)) % 1.52/1.79 (define @t5251 () (@list @t2527)) % 1.52/1.79 (define @t5252 () (forall @t5251 @t5249)) % 1.52/1.79 (define @t5253 () (forall @t5251 @t5248)) % 1.52/1.79 (define @t5254 () (or @t2184 @t5253)) % 1.52/1.79 (define @t5255 () (forall @t9 (or @t2125 @t4869 @t2515))) % 1.52/1.79 (define @t5256 () (not @t5255)) % 1.52/1.79 (define @t5257 () (forall @t1137 (or @t4086 @t5230 @t5256 @t1167))) % 1.52/1.79 (define @t5258 () (or @t4088 @t5257)) % 1.52/1.79 (define @t5259 () (or @t4090 @t5230 @t5256 @t1167)) % 1.52/1.79 (define @t5260 () (or @t5230 @t5256 @t1167)) % 1.52/1.79 (define @t5261 () (=> @t5255 @t1167)) % 1.52/1.79 (define @t5262 () (=> @t5211 @t5261)) % 1.52/1.79 (define @t5263 () (or @t197 @t1225 @t696)) % 1.52/1.79 (define @t5264 () (=> tptp.setextT @t5247)) % 1.52/1.79 (define @t5265 () (or @t4088 @t1164)) % 1.52/1.79 (define @t5266 () (=> tptp.complementT_lem @t5264)) % 1.52/1.79 (define @t5267 () (or @t2538 @t2537)) % 1.52/1.79 (define @t5268 () (or @t2184 @t5267)) % 1.52/1.79 (define @t5269 () (forall @t2540 @t5268)) % 1.52/1.79 (define @t5270 () (@list @t2536)) % 1.52/1.79 (define @t5271 () (forall @t5270 @t5268)) % 1.52/1.79 (define @t5272 () (forall @t5270 @t5267)) % 1.52/1.79 (define @t5273 () (or @t2184 @t5272)) % 1.52/1.79 (define @t5274 () (tptp.setminus @t695 @t1131)) % 1.52/1.79 (define @t5275 () (tptp.in @t5274 @t2181)) % 1.52/1.79 (define @t5276 () (forall @t1137 (or @t4086 @t5275))) % 1.52/1.79 (define @t5277 () (or @t4088 @t5276)) % 1.52/1.79 (define @t5278 () (or @t4090 @t1157)) % 1.52/1.79 (define @t5279 () (=> tptp.setminusT_lem @t5266)) % 1.52/1.79 (define @t5280 () (or @t4088 @t1153)) % 1.52/1.79 (define @t5281 () (=> tptp.powersetT_lem @t5279)) % 1.52/1.79 (define @t5282 () (or @t2546 @t2545)) % 1.52/1.79 (define @t5283 () (or @t2184 @t5282)) % 1.52/1.79 (define @t5284 () (forall @t2548 @t5283)) % 1.52/1.79 (define @t5285 () (@list @t2544)) % 1.52/1.79 (define @t5286 () (forall @t5285 @t5283)) % 1.52/1.79 (define @t5287 () (forall @t5285 @t5282)) % 1.52/1.79 (define @t5288 () (or @t2184 @t5287)) % 1.52/1.79 (define @t5289 () (tptp.in @t4082 @t2181)) % 1.52/1.79 (define @t5290 () (forall @t1137 (or @t4086 @t5289))) % 1.52/1.79 (define @t5291 () (or @t4088 @t5290)) % 1.52/1.79 (define @t5292 () (or @t4090 @t1146)) % 1.52/1.79 (define @t5293 () (=> tptp.binunionT_lem @t5281)) % 1.52/1.79 (define @t5294 () (or @t2551 @t2550)) % 1.52/1.79 (define @t5295 () (or @t2184 @t5294)) % 1.52/1.79 (define @t5296 () (forall @t2553 @t5295)) % 1.52/1.79 (define @t5297 () (@list @t2549)) % 1.52/1.79 (define @t5298 () (forall @t5297 @t5295)) % 1.52/1.79 (define @t5299 () (forall @t5297 @t5294)) % 1.52/1.79 (define @t5300 () (or @t2184 @t5299)) % 1.52/1.79 (define @t5301 () (tptp.in @t4117 @t2181)) % 1.52/1.79 (define @t5302 () (forall @t1137 (or @t4086 @t5301))) % 1.52/1.79 (define @t5303 () (or @t4088 @t5302)) % 1.52/1.79 (define @t5304 () (or @t4090 @t1134)) % 1.52/1.79 (define @t5305 () (=> tptp.binintersectT_lem @t5293)) % 1.52/1.79 (define @t5306 () (or @t2556 @t2555)) % 1.52/1.79 (define @t5307 () (or @t2125 @t5306)) % 1.52/1.79 (define @t5308 () (forall @t2558 @t5307)) % 1.52/1.79 (define @t5309 () (@list @t2554)) % 1.52/1.79 (define @t5310 () (forall @t5309 @t5307)) % 1.52/1.79 (define @t5311 () (forall @t5309 @t5306)) % 1.52/1.79 (define @t5312 () (or @t2125 @t5311)) % 1.52/1.79 (define @t5313 () (tptp.if @t2 @t173 @t4 @t19)) % 1.52/1.79 (define @t5314 () (tptp.in @t5313 @t2838)) % 1.52/1.79 (define @t5315 () (forall @t70 (or @t2889 @t5314))) % 1.52/1.79 (define @t5316 () (or @t197 @t5315)) % 1.52/1.79 (define @t5317 () (_ tptp.in @t5313)) % 1.52/1.79 (define @t5318 () (or @t3636 @t1126)) % 1.52/1.79 (define @t5319 () (=> tptp.iftrueorfalse @t5305)) % 1.52/1.79 (define @t5320 () (or @t2125 false @t2561 @t2560)) % 1.52/1.79 (define @t5321 () (= @t2559 (tptp.if @t2 @t173 @t4 @t2559))) % 1.52/1.79 (define @t5322 () (or @t173 @t2125 @t173 @t2561 @t5321)) % 1.52/1.79 (define @t5323 () (or @t2125 @t173 @t2561 @t5321)) % 1.52/1.79 (define @t5324 () (forall @t179 @t5323)) % 1.52/1.79 (define @t5325 () (forall @t2563 @t5324)) % 1.52/1.79 (define @t5326 () (forall (@list @t2 @t4 @t2559 @t173) @t5323)) % 1.52/1.79 (define @t5327 () (@list @t2 @t173 @t4 @t2559)) % 1.52/1.79 (define @t5328 () (or @t2561 @t5321)) % 1.52/1.79 (define @t5329 () (or @t2125 @t173 @t5328)) % 1.52/1.79 (define @t5330 () (forall @t5327 @t5329)) % 1.52/1.79 (define @t5331 () (@list @t2559)) % 1.52/1.79 (define @t5332 () (forall @t5331 @t5329)) % 1.52/1.79 (define @t5333 () (forall @t5331 @t5328)) % 1.52/1.79 (define @t5334 () (or @t2125 @t173 @t5333)) % 1.52/1.79 (define @t5335 () (forall @t70 (or @t2889 (= @t19 @t5313)))) % 1.52/1.79 (define @t5336 () (or @t197 @t173 @t5335)) % 1.52/1.79 (define @t5337 () (or @t173 @t5335)) % 1.52/1.79 (define @t5338 () (= @t19 @t1102)) % 1.52/1.79 (define @t5339 () (or @t3636 @t5338)) % 1.52/1.79 (define @t5340 () (forall @t70 @t5339)) % 1.52/1.79 (define @t5341 () (or @t173 @t5340)) % 1.52/1.79 (define @t5342 () (or @t173 @t5339)) % 1.52/1.79 (define @t5343 () (or @t3636 @t173 @t5338)) % 1.52/1.79 (define @t5344 () (=> @t1063 @t5338)) % 1.52/1.79 (define @t5345 () (=> tptp.iffalse @t5319)) % 1.52/1.79 (define @t5346 () (not true)) % 1.52/1.79 (define @t5347 () (or @t2125 @t5346 @t2566 @t2565)) % 1.52/1.79 (define @t5348 () (= @t4 (tptp.if @t2 @t173 @t4 @t2564))) % 1.52/1.79 (define @t5349 () (not (= @t173 true))) % 1.52/1.79 (define @t5350 () (or @t1063 @t2125 @t1063 @t2566 @t5348)) % 1.52/1.79 (define @t5351 () (or @t2125 @t1063 @t2566 @t5348)) % 1.52/1.79 (define @t5352 () (forall @t179 @t5351)) % 1.52/1.79 (define @t5353 () (forall @t2568 @t5352)) % 1.52/1.79 (define @t5354 () (forall (@list @t2 @t4 @t2564 @t173) @t5351)) % 1.52/1.79 (define @t5355 () (@list @t2 @t173 @t4 @t2564)) % 1.52/1.79 (define @t5356 () (or @t2566 @t5348)) % 1.52/1.79 (define @t5357 () (or @t2125 @t1063 @t5356)) % 1.52/1.79 (define @t5358 () (forall @t5355 @t5357)) % 1.52/1.79 (define @t5359 () (@list @t2564)) % 1.52/1.79 (define @t5360 () (forall @t5359 @t5357)) % 1.52/1.79 (define @t5361 () (forall @t5359 @t5356)) % 1.52/1.79 (define @t5362 () (or @t2125 @t1063 @t5361)) % 1.52/1.79 (define @t5363 () (forall @t70 (or @t2889 (= @t4 @t5313)))) % 1.52/1.79 (define @t5364 () (or @t197 @t1063 @t5363)) % 1.52/1.79 (define @t5365 () (or @t1063 @t5363)) % 1.52/1.79 (define @t5366 () (= @t4 @t1102)) % 1.52/1.79 (define @t5367 () (or @t3636 @t5366)) % 1.52/1.79 (define @t5368 () (forall @t70 @t5367)) % 1.52/1.79 (define @t5369 () (or @t1063 @t5368)) % 1.52/1.79 (define @t5370 () (or @t1063 @t5367)) % 1.52/1.79 (define @t5371 () (or @t3636 @t1063 @t5366)) % 1.52/1.79 (define @t5372 () (=> @t173 @t5366)) % 1.52/1.79 (define @t5373 () (=> tptp.iftrue @t5345)) % 1.52/1.79 (define @t5374 () (= @t2569 @t2570)) % 1.52/1.79 (define @t5375 () (or @t2573 @t2571 @t5374)) % 1.52/1.79 (define @t5376 () (or @t2571 @t5374)) % 1.52/1.79 (define @t5377 () (or @t2573 @t5376)) % 1.52/1.79 (define @t5378 () (forall @t2574 @t5377)) % 1.52/1.79 (define @t5379 () (@list @t2569)) % 1.52/1.79 (define @t5380 () (forall @t5379 @t5377)) % 1.52/1.79 (define @t5381 () (forall @t5379 @t5376)) % 1.52/1.79 (define @t5382 () (or @t2573 @t5381)) % 1.52/1.79 (define @t5383 () (forall @t9 (or @t2516 (= @t4 @t2570)))) % 1.52/1.79 (define @t5384 () (not @t762)) % 1.52/1.79 (define @t5385 () (or @t5384 @t5383)) % 1.52/1.79 (define @t5386 () (= @t4 @t760)) % 1.52/1.79 (define @t5387 () (or @t1217 @t5386)) % 1.52/1.79 (define @t5388 () (=> tptp.theeq @t5373)) % 1.52/1.79 (define @t5389 () (or @t2577 @t2576)) % 1.52/1.79 (define @t5390 () (or @t2125 @t5389)) % 1.52/1.79 (define @t5391 () (forall @t2579 @t5390)) % 1.52/1.79 (define @t5392 () (@list @t2575)) % 1.52/1.79 (define @t5393 () (forall @t5392 @t5390)) % 1.52/1.79 (define @t5394 () (forall @t5392 @t5389)) % 1.52/1.79 (define @t5395 () (or @t2125 @t5394)) % 1.52/1.79 (define @t5396 () (tptp.in @t5313 @t2)) % 1.52/1.79 (define @t5397 () (forall @t70 (or @t2889 @t5396))) % 1.52/1.79 (define @t5398 () (or @t197 @t5397)) % 1.52/1.79 (define @t5399 () (or @t3636 @t1104)) % 1.52/1.79 (define @t5400 () (=> tptp.ifp @t5388)) % 1.52/1.79 (define @t5401 () (and @t1063 (= @t2580 @t289))) % 1.52/1.79 (define @t5402 () (or @t2581 @t5401)) % 1.52/1.79 (define @t5403 () (lambda @t1067 @t5402)) % 1.52/1.79 (define @t5404 () (tptp.dsetconstr @t2 @t5403)) % 1.52/1.79 (define @t5405 () (tptp.singleton @t5404)) % 1.52/1.79 (define @t5406 () (or @t2125 @t2582 @t5405)) % 1.52/1.79 (define @t5407 () (or @t2582 @t5405)) % 1.52/1.79 (define @t5408 () (or @t2125 @t5407)) % 1.52/1.79 (define @t5409 () (forall @t2583 @t5408)) % 1.52/1.79 (define @t5410 () (@list @t2580)) % 1.52/1.79 (define @t5411 () (forall @t5410 @t5408)) % 1.52/1.79 (define @t5412 () (forall @t5410 @t5407)) % 1.52/1.79 (define @t5413 () (or @t2125 @t5412)) % 1.52/1.79 (define @t5414 () (lambda @t1067 (or @t2581 (and @t1063 @t2965)))) % 1.52/1.79 (define @t5415 () (tptp.dsetconstr @t2 @t5414)) % 1.52/1.79 (define @t5416 () (tptp.singleton @t5415)) % 1.52/1.79 (define @t5417 () (forall @t70 (or @t2889 @t5416))) % 1.52/1.79 (define @t5418 () (or @t197 @t5417)) % 1.52/1.79 (define @t5419 () (_ @t155 @t5414)) % 1.52/1.79 (define @t5420 () (_ tptp.singleton @t5419)) % 1.52/1.79 (define @t5421 () (or @t3636 @t5420)) % 1.52/1.79 (define @t5422 () (=> tptp.ifSingleton @t5400)) % 1.52/1.79 (define @t5423 () (= @t289 @t2587)) % 1.52/1.79 (define @t5424 () (and @t5346 @t5423)) % 1.52/1.79 (define @t5425 () (and true @t745)) % 1.52/1.79 (define @t5426 () (or @t5425 @t5424)) % 1.52/1.79 (define @t5427 () (lambda @t1067 @t5426)) % 1.52/1.79 (define @t5428 () (tptp.dsetconstr @t2 @t5427)) % 1.52/1.79 (define @t5429 () (= @t2585 @t5428)) % 1.52/1.79 (define @t5430 () (or @t2125 @t5346 @t2588 @t5429)) % 1.52/1.79 (define @t5431 () (= @t2585 (tptp.dsetconstr @t2 (lambda @t1067 (or @t2581 (and @t1063 @t5423)))))) % 1.52/1.79 (define @t5432 () (or @t1063 @t2125 @t1063 @t2588 @t5431)) % 1.52/1.79 (define @t5433 () (or @t2125 @t1063 @t2588 @t5431)) % 1.52/1.79 (define @t5434 () (forall @t179 @t5433)) % 1.52/1.79 (define @t5435 () (forall @t2590 @t5434)) % 1.52/1.79 (define @t5436 () (forall (@list @t2 @t4 @t2587 @t173) @t5433)) % 1.52/1.79 (define @t5437 () (@list @t2 @t173 @t4 @t2587)) % 1.52/1.79 (define @t5438 () (and @t1063 (= @t2587 @t289))) % 1.52/1.79 (define @t5439 () (or @t2581 @t5438)) % 1.52/1.79 (define @t5440 () (lambda @t1067 @t5439)) % 1.52/1.79 (define @t5441 () (tptp.dsetconstr @t2 @t5440)) % 1.52/1.79 (define @t5442 () (= @t2585 @t5441)) % 1.52/1.79 (define @t5443 () (or @t2125 @t1063 @t2588 @t5442)) % 1.52/1.79 (define @t5444 () (or @t2588 @t5442)) % 1.52/1.79 (define @t5445 () (or @t2125 @t1063 @t5444)) % 1.52/1.79 (define @t5446 () (forall @t5437 @t5445)) % 1.52/1.79 (define @t5447 () (@list @t2587)) % 1.52/1.79 (define @t5448 () (forall @t5447 @t5445)) % 1.52/1.79 (define @t5449 () (forall @t5447 @t5444)) % 1.52/1.79 (define @t5450 () (or @t2125 @t1063 @t5449)) % 1.52/1.79 (define @t5451 () (forall @t70 (or @t2889 (= @t2585 @t5415)))) % 1.52/1.79 (define @t5452 () (or @t197 @t1063 @t5451)) % 1.52/1.79 (define @t5453 () (or @t1063 @t5451)) % 1.52/1.79 (define @t5454 () (= @t279 @t5419)) % 1.52/1.79 (define @t5455 () (or @t3636 @t5454)) % 1.52/1.79 (define @t5456 () (forall @t70 @t5455)) % 1.52/1.79 (define @t5457 () (or @t1063 @t5456)) % 1.52/1.79 (define @t5458 () (or @t1063 @t5455)) % 1.52/1.79 (define @t5459 () (or @t3636 @t1063 @t5454)) % 1.52/1.79 (define @t5460 () (=> @t173 @t5454)) % 1.52/1.79 (define @t5461 () (=> tptp.iftrueProp2 @t5422)) % 1.52/1.79 (define @t5462 () (= @t289 @t2592)) % 1.52/1.79 (define @t5463 () (and @t5346 @t5462)) % 1.52/1.79 (define @t5464 () (or @t5425 @t5463)) % 1.52/1.79 (define @t5465 () (lambda @t1067 @t5464)) % 1.52/1.79 (define @t5466 () (tptp.dsetconstr @t2 @t5465)) % 1.52/1.79 (define @t5467 () (tptp.in @t4 @t5466)) % 1.52/1.79 (define @t5468 () (or @t2125 @t5346 @t2593 @t5467)) % 1.52/1.79 (define @t5469 () (tptp.in @t4 (tptp.dsetconstr @t2 (lambda @t1067 (or @t2581 (and @t1063 @t5462)))))) % 1.52/1.79 (define @t5470 () (or @t1063 @t2125 @t1063 @t2593 @t5469)) % 1.52/1.79 (define @t5471 () (or @t2125 @t1063 @t2593 @t5469)) % 1.52/1.79 (define @t5472 () (forall @t179 @t5471)) % 1.52/1.79 (define @t5473 () (forall @t2595 @t5472)) % 1.52/1.79 (define @t5474 () (forall (@list @t2 @t4 @t2592 @t173) @t5471)) % 1.52/1.79 (define @t5475 () (@list @t2 @t173 @t4 @t2592)) % 1.52/1.79 (define @t5476 () (and @t1063 (= @t2592 @t289))) % 1.52/1.79 (define @t5477 () (or @t2581 @t5476)) % 1.52/1.79 (define @t5478 () (lambda @t1067 @t5477)) % 1.52/1.79 (define @t5479 () (tptp.dsetconstr @t2 @t5478)) % 1.52/1.79 (define @t5480 () (tptp.in @t4 @t5479)) % 1.52/1.79 (define @t5481 () (or @t2125 @t1063 @t2593 @t5480)) % 1.52/1.79 (define @t5482 () (or @t2593 @t5480)) % 1.52/1.79 (define @t5483 () (or @t2125 @t1063 @t5482)) % 1.52/1.79 (define @t5484 () (forall @t5475 @t5483)) % 1.52/1.79 (define @t5485 () (@list @t2592)) % 1.52/1.79 (define @t5486 () (forall @t5485 @t5483)) % 1.52/1.79 (define @t5487 () (forall @t5485 @t5482)) % 1.52/1.79 (define @t5488 () (or @t2125 @t1063 @t5487)) % 1.52/1.79 (define @t5489 () (tptp.in @t4 @t5415)) % 1.52/1.79 (define @t5490 () (forall @t70 (or @t2889 @t5489))) % 1.52/1.79 (define @t5491 () (or @t197 @t1063 @t5490)) % 1.52/1.79 (define @t5492 () (or @t1063 @t5490)) % 1.52/1.79 (define @t5493 () (_ @t5 @t5419)) % 1.52/1.79 (define @t5494 () (or @t3636 @t5493)) % 1.52/1.79 (define @t5495 () (forall @t70 @t5494)) % 1.52/1.79 (define @t5496 () (or @t1063 @t5495)) % 1.52/1.79 (define @t5497 () (or @t1063 @t5494)) % 1.52/1.79 (define @t5498 () (or @t3636 @t1063 @t5493)) % 1.52/1.79 (define @t5499 () (=> @t173 @t5493)) % 1.52/1.79 (define @t5500 () (=> tptp.iftrueProp1 @t5461)) % 1.52/1.79 (define @t5501 () (and @t3753 @t2597)) % 1.52/1.79 (define @t5502 () (and false @t745)) % 1.52/1.79 (define @t5503 () (or @t5502 @t5501)) % 1.52/1.79 (define @t5504 () (lambda @t1067 @t5503)) % 1.52/1.79 (define @t5505 () (tptp.dsetconstr @t2 @t5504)) % 1.52/1.79 (define @t5506 () (= @t2598 @t5505)) % 1.52/1.79 (define @t5507 () (or @t2125 @t2599 @t5506)) % 1.52/1.79 (define @t5508 () (or @t2125 false @t2599 @t5506)) % 1.52/1.79 (define @t5509 () (= @t2598 (tptp.dsetconstr @t2 (lambda @t1067 (or @t2581 (and @t1063 @t2597)))))) % 1.52/1.79 (define @t5510 () (or @t173 @t2125 @t173 @t2599 @t5509)) % 1.52/1.79 (define @t5511 () (or @t2125 @t173 @t2599 @t5509)) % 1.52/1.79 (define @t5512 () (forall @t179 @t5511)) % 1.52/1.79 (define @t5513 () (forall @t2600 @t5512)) % 1.52/1.79 (define @t5514 () (forall (@list @t2 @t4 @t2596 @t173) @t5511)) % 1.52/1.79 (define @t5515 () (@list @t2 @t173 @t4 @t2596)) % 1.52/1.79 (define @t5516 () (and @t1063 (= @t2596 @t289))) % 1.52/1.79 (define @t5517 () (or @t2581 @t5516)) % 1.52/1.79 (define @t5518 () (lambda @t1067 @t5517)) % 1.52/1.79 (define @t5519 () (tptp.dsetconstr @t2 @t5518)) % 1.52/1.79 (define @t5520 () (= @t2598 @t5519)) % 1.52/1.79 (define @t5521 () (or @t2125 @t173 @t2599 @t5520)) % 1.52/1.79 (define @t5522 () (or @t2599 @t5520)) % 1.52/1.79 (define @t5523 () (or @t2125 @t173 @t5522)) % 1.52/1.79 (define @t5524 () (forall @t5515 @t5523)) % 1.52/1.79 (define @t5525 () (@list @t2596)) % 1.52/1.79 (define @t5526 () (forall @t5525 @t5523)) % 1.52/1.79 (define @t5527 () (forall @t5525 @t5522)) % 1.52/1.79 (define @t5528 () (or @t2125 @t173 @t5527)) % 1.52/1.79 (define @t5529 () (forall @t70 (or @t2889 (= @t2837 @t5415)))) % 1.52/1.79 (define @t5530 () (or @t197 @t173 @t5529)) % 1.52/1.79 (define @t5531 () (or @t173 @t5529)) % 1.52/1.79 (define @t5532 () (= @t275 @t5419)) % 1.52/1.79 (define @t5533 () (or @t3636 @t5532)) % 1.52/1.79 (define @t5534 () (forall @t70 @t5533)) % 1.52/1.79 (define @t5535 () (or @t173 @t5534)) % 1.52/1.79 (define @t5536 () (or @t173 @t5533)) % 1.52/1.79 (define @t5537 () (or @t3636 @t173 @t5532)) % 1.52/1.79 (define @t5538 () (=> @t1063 @t5532)) % 1.52/1.79 (define @t5539 () (=> tptp.iffalseProp2 @t5500)) % 1.52/1.79 (define @t5540 () (and @t3753 @t2602)) % 1.52/1.79 (define @t5541 () (or @t5502 @t5540)) % 1.52/1.79 (define @t5542 () (lambda @t1067 @t5541)) % 1.52/1.79 (define @t5543 () (tptp.dsetconstr @t2 @t5542)) % 1.52/1.79 (define @t5544 () (tptp.in @t2601 @t5543)) % 1.52/1.79 (define @t5545 () (or @t2125 @t2603 @t5544)) % 1.52/1.79 (define @t5546 () (or @t2125 false @t2603 @t5544)) % 1.52/1.79 (define @t5547 () (tptp.in @t2601 (tptp.dsetconstr @t2 (lambda @t1067 (or @t2581 (and @t1063 @t2602)))))) % 1.52/1.79 (define @t5548 () (or @t173 @t2125 @t173 @t2603 @t5547)) % 1.52/1.79 (define @t5549 () (or @t2125 @t173 @t2603 @t5547)) % 1.52/1.79 (define @t5550 () (forall @t179 @t5549)) % 1.52/1.79 (define @t5551 () (forall @t2604 @t5550)) % 1.52/1.79 (define @t5552 () (forall (@list @t2 @t4 @t2601 @t173) @t5549)) % 1.52/1.79 (define @t5553 () (@list @t2 @t173 @t4 @t2601)) % 1.52/1.79 (define @t5554 () (and @t1063 (= @t2601 @t289))) % 1.52/1.79 (define @t5555 () (or @t2581 @t5554)) % 1.52/1.79 (define @t5556 () (lambda @t1067 @t5555)) % 1.52/1.79 (define @t5557 () (tptp.dsetconstr @t2 @t5556)) % 1.52/1.79 (define @t5558 () (tptp.in @t2601 @t5557)) % 1.52/1.79 (define @t5559 () (or @t2125 @t173 @t2603 @t5558)) % 1.52/1.79 (define @t5560 () (or @t2603 @t5558)) % 1.52/1.79 (define @t5561 () (or @t2125 @t173 @t5560)) % 1.52/1.79 (define @t5562 () (forall @t5553 @t5561)) % 1.52/1.79 (define @t5563 () (@list @t2601)) % 1.52/1.79 (define @t5564 () (forall @t5563 @t5561)) % 1.52/1.79 (define @t5565 () (forall @t5563 @t5560)) % 1.52/1.79 (define @t5566 () (or @t2125 @t173 @t5565)) % 1.52/1.79 (define @t5567 () (tptp.in @t19 @t5415)) % 1.52/1.79 (define @t5568 () (forall @t70 (or @t2889 @t5567))) % 1.52/1.79 (define @t5569 () (or @t197 @t173 @t5568)) % 1.52/1.79 (define @t5570 () (or @t173 @t5568)) % 1.52/1.79 (define @t5571 () (_ @t20 @t5419)) % 1.52/1.79 (define @t5572 () (or @t3636 @t5571)) % 1.52/1.79 (define @t5573 () (forall @t70 @t5572)) % 1.52/1.79 (define @t5574 () (or @t173 @t5573)) % 1.52/1.79 (define @t5575 () (or @t173 @t5572)) % 1.52/1.79 (define @t5576 () (or @t3636 @t173 @t5571)) % 1.52/1.79 (define @t5577 () (=> @t1063 @t5571)) % 1.52/1.79 (define @t5578 () (=> tptp.iffalseProp1 @t5539)) % 1.52/1.79 (define @t5579 () (= @t882 @t1052)) % 1.52/1.79 (define @t5580 () (not @t909)) % 1.52/1.79 (define @t5581 () (or @t5580 @t5579)) % 1.52/1.79 (define @t5582 () (=> tptp.eta2 @t5578)) % 1.52/1.79 (define @t5583 () (or @t2615 @t2614)) % 1.52/1.79 (define @t5584 () (or @t2619 @t5583)) % 1.52/1.79 (define @t5585 () (forall @t2621 @t5584)) % 1.52/1.79 (define @t5586 () (@list @t2612)) % 1.52/1.79 (define @t5587 () (forall @t5586 @t5584)) % 1.52/1.79 (define @t5588 () (forall @t5586 @t5583)) % 1.52/1.79 (define @t5589 () (or @t2619 @t5588)) % 1.52/1.79 (define @t5590 () (forall @t9 (or @t2125 (= @t2616 (tptp.ap @t2 @t1 @t2613 @t4))))) % 1.52/1.79 (define @t5591 () (_ @t917 @t19)) % 1.52/1.79 (define @t5592 () (lambda @t70 @t5591)) % 1.52/1.79 (define @t5593 () (tptp.lam @t2 @t1 @t5592)) % 1.52/1.79 (define @t5594 () (tptp.ap @t2 @t1 @t5593 @t4)) % 1.52/1.79 (define @t5595 () (= @t2616 @t5594)) % 1.52/1.79 (define @t5596 () (or @t2125 @t5595)) % 1.52/1.79 (define @t5597 () (= @t918 @t1045)) % 1.52/1.79 (define @t5598 () (or @t197 @t5597)) % 1.52/1.79 (define @t5599 () (or @t197 @t920)) % 1.52/1.79 (define @t5600 () (=> tptp.beta2 @t5582)) % 1.52/1.79 (define @t5601 () (=> tptp.lam2lamEq @t5600)) % 1.52/1.79 (define @t5602 () (not @t889)) % 1.52/1.79 (define @t5603 () (or @t5602 @t5579)) % 1.52/1.79 (define @t5604 () (=> tptp.eta1 @t5601)) % 1.52/1.79 (define @t5605 () (=> tptp.beta1 @t5604)) % 1.52/1.79 (define @t5606 () (=> tptp.ap2apEq2 @t5605)) % 1.52/1.79 (define @t5607 () (=> tptp.ap2apEq1 @t5606)) % 1.52/1.79 (define @t5608 () (or @t2630 @t2629 @t2628)) % 1.52/1.79 (define @t5609 () (or @t2611 @t5608)) % 1.52/1.79 (define @t5610 () (forall @t2632 @t5609)) % 1.52/1.79 (define @t5611 () (@list @t2627)) % 1.52/1.79 (define @t5612 () (forall @t5611 @t5609)) % 1.52/1.79 (define @t5613 () (forall @t5611 @t5608)) % 1.52/1.79 (define @t5614 () (@list @t973)) % 1.52/1.79 (define @t5615 () (or @t2611 @t5613)) % 1.52/1.79 (define @t5616 () (tptp.ap @t2 @t1 @t973 @t4)) % 1.52/1.79 (define @t5617 () (forall @t9 (or @t2125 (= @t2605 @t5616)))) % 1.52/1.79 (define @t5618 () (not @t5617)) % 1.52/1.79 (define @t5619 () (tptp.in @t973 @t2609)) % 1.52/1.79 (define @t5620 () (forall @t985 (or (not @t5619) @t5618 @t1020))) % 1.52/1.79 (define @t5621 () (or @t5580 @t5620)) % 1.52/1.79 (define @t5622 () (not @t1028)) % 1.52/1.79 (define @t5623 () (or @t5622 @t5618 @t1020)) % 1.52/1.79 (define @t5624 () (or @t5618 @t1020)) % 1.52/1.79 (define @t5625 () (=> @t5617 @t1020)) % 1.52/1.79 (define @t5626 () (or @t197 @t980)) % 1.52/1.79 (define @t5627 () (=> tptp.funcext2 @t5607)) % 1.52/1.79 (define @t5628 () (or @t2637 @t2636 @t2635)) % 1.52/1.79 (define @t5629 () (or @t2625 @t5628)) % 1.52/1.79 (define @t5630 () (forall @t2639 @t5629)) % 1.52/1.79 (define @t5631 () (@list @t2634)) % 1.52/1.79 (define @t5632 () (forall @t5631 @t5629)) % 1.52/1.79 (define @t5633 () (forall @t5631 @t5628)) % 1.52/1.79 (define @t5634 () (or @t2625 @t5633)) % 1.52/1.79 (define @t5635 () (tptp.func @t2 @t1 @t973)) % 1.52/1.79 (define @t5636 () (not @t5635)) % 1.52/1.79 (define @t5637 () (forall @t985 (or @t5636 @t5618 @t1020))) % 1.52/1.79 (define @t5638 () (or @t5602 @t5637)) % 1.52/1.79 (define @t5639 () (not @t983)) % 1.52/1.79 (define @t5640 () (or @t5639 @t5618 @t1020)) % 1.52/1.79 (define @t5641 () (=> tptp.funcext @t5627)) % 1.52/1.79 (define @t5642 () (or @t2655 @t2654 @t2648 @t2642)) % 1.52/1.79 (define @t5643 () (or @t2657 @t5642)) % 1.52/1.79 (define @t5644 () (forall @t2659 @t5643)) % 1.52/1.79 (define @t5645 () (@list @t2641)) % 1.52/1.79 (define @t5646 () (forall @t5645 @t5643)) % 1.52/1.79 (define @t5647 () (forall @t5645 @t5642)) % 1.52/1.79 (define @t5648 () (or @t2657 @t5647)) % 1.52/1.79 (define @t5649 () (not (tptp.in @t2644 @t993))) % 1.52/1.79 (define @t5650 () (or @t2125 @t2646 @t5649 @t2645)) % 1.52/1.79 (define @t5651 () (forall @t2647 @t5650)) % 1.52/1.79 (define @t5652 () (not @t5651)) % 1.52/1.79 (define @t5653 () (tptp.in @t2650 @t993)) % 1.52/1.79 (define @t5654 () (or @t2125 @t2652 @t2651 @t5653)) % 1.52/1.79 (define @t5655 () (forall @t2653 @t5654)) % 1.52/1.79 (define @t5656 () (not @t5655)) % 1.52/1.79 (define @t5657 () (tptp.breln @t2 @t1 @t993)) % 1.52/1.79 (define @t5658 () (not @t5657)) % 1.52/1.79 (define @t5659 () (forall @t1003 (or @t5658 @t5656 @t5652 @t1008))) % 1.52/1.79 (define @t5660 () (not @t948)) % 1.52/1.79 (define @t5661 () (or @t5660 @t5659)) % 1.52/1.79 (define @t5662 () (not @t1001)) % 1.52/1.79 (define @t5663 () (or @t5662 @t5656 @t5652 @t1008)) % 1.52/1.79 (define @t5664 () (or @t5656 @t5652 @t1008)) % 1.52/1.79 (define @t5665 () (=> @t5651 @t1008)) % 1.52/1.79 (define @t5666 () (=> @t5655 @t5665)) % 1.52/1.79 (define @t5667 () (or @t2646 @t5649 @t2645)) % 1.52/1.79 (define @t5668 () (or @t2125 @t5667)) % 1.52/1.79 (define @t5669 () (forall @t2647 @t5668)) % 1.52/1.79 (define @t5670 () (@list @t2643)) % 1.52/1.79 (define @t5671 () (forall @t5670 @t5668)) % 1.52/1.79 (define @t5672 () (forall @t5670 @t5667)) % 1.52/1.79 (define @t5673 () (or @t2125 @t5672)) % 1.52/1.79 (define @t5674 () (forall @t70 (or @t2169 @t3631 @t3680))) % 1.52/1.79 (define @t5675 () (or @t197 @t5674)) % 1.52/1.79 (define @t5676 () (or @t4065 @t3635 @t941)) % 1.52/1.79 (define @t5677 () (or @t2652 @t2651 @t5653)) % 1.52/1.79 (define @t5678 () (or @t2125 @t5677)) % 1.52/1.79 (define @t5679 () (forall @t2653 @t5678)) % 1.52/1.79 (define @t5680 () (@list @t2649)) % 1.52/1.79 (define @t5681 () (forall @t5680 @t5678)) % 1.52/1.79 (define @t5682 () (forall @t5680 @t5677)) % 1.52/1.79 (define @t5683 () (or @t2125 @t5682)) % 1.52/1.79 (define @t5684 () (forall @t70 (or @t2169 @t3681 @t3630))) % 1.52/1.79 (define @t5685 () (or @t197 @t5684)) % 1.52/1.79 (define @t5686 () (or @t4065 @t3684 @t995)) % 1.52/1.79 (define @t5687 () (=> tptp.eqbreln @t5641)) % 1.52/1.79 (define @t5688 () (or @t2664 @t2663 @t2662)) % 1.52/1.79 (define @t5689 () (or @t2657 @t5688)) % 1.52/1.79 (define @t5690 () (forall @t2666 @t5689)) % 1.52/1.79 (define @t5691 () (@list @t2661)) % 1.52/1.79 (define @t5692 () (forall @t5691 @t5689)) % 1.52/1.79 (define @t5693 () (forall @t5691 @t5688)) % 1.52/1.79 (define @t5694 () (or @t2657 @t5693)) % 1.52/1.79 (define @t5695 () (forall @t1003 (or @t5658 @t5656 @t3962))) % 1.52/1.79 (define @t5696 () (or @t5660 @t5695)) % 1.52/1.79 (define @t5697 () (or @t5662 @t5656 @t994)) % 1.52/1.79 (define @t5698 () (=> @t5655 @t994)) % 1.52/1.79 (define @t5699 () (=> tptp.subbreln @t5687)) % 1.52/1.79 (define @t5700 () (= @t2669 @t2670)) % 1.52/1.79 (define @t5701 () (or @t2611 @t2673 @t2672 @t2671 @t5700)) % 1.52/1.79 (define @t5702 () (or @t2673 @t2672 @t2671 @t5700)) % 1.52/1.79 (define @t5703 () (or @t2611 @t5702)) % 1.52/1.79 (define @t5704 () (forall @t2674 @t5703)) % 1.52/1.79 (define @t5705 () (@list @t2668 @t2670)) % 1.52/1.79 (define @t5706 () (forall @t5705 @t5703)) % 1.52/1.79 (define @t5707 () (forall @t5705 @t5702)) % 1.52/1.79 (define @t5708 () (@var "BOUND_VARIABLE_13262" $$unsorted)) % 1.52/1.79 (define @t5709 () (@list @t4 @t5708)) % 1.52/1.79 (define @t5710 () (or @t2611 @t5707)) % 1.52/1.79 (define @t5711 () (not (tptp.in (tptp.kpair @t4 @t5708) @t882))) % 1.52/1.79 (define @t5712 () (not (tptp.in @t5708 @t1))) % 1.52/1.79 (define @t5713 () (@list @t4 @t5708)) % 1.52/1.79 (define @t5714 () (forall @t5713 (or @t2125 @t5712 @t5711 (= @t2605 @t5708)))) % 1.52/1.79 (define @t5715 () (or @t5580 @t5714)) % 1.52/1.79 (define @t5716 () (= @t5708 @t2605)) % 1.52/1.79 (define @t5717 () (or @t2125 @t5712 @t5711 @t5716)) % 1.52/1.79 (define @t5718 () (or @t5712 @t5711 @t5716)) % 1.52/1.79 (define @t5719 () (or @t2125 @t5718)) % 1.52/1.79 (define @t5720 () (forall @t5713 @t5719)) % 1.52/1.79 (define @t5721 () (@list @t5708)) % 1.52/1.79 (define @t5722 () (forall @t5721 @t5719)) % 1.52/1.79 (define @t5723 () (forall @t5721 @t5718)) % 1.52/1.79 (define @t5724 () (or @t2125 @t5723)) % 1.52/1.79 (define @t5725 () (tptp.in @t2768 @t882)) % 1.52/1.79 (define @t5726 () (forall @t70 (or @t2169 (not @t5725) (= @t19 @t2605)))) % 1.52/1.79 (define @t5727 () (or @t197 @t5726)) % 1.52/1.79 (define @t5728 () (= @t19 @t901)) % 1.52/1.79 (define @t5729 () (not @t883)) % 1.52/1.79 (define @t5730 () (or @t4065 @t5729 @t5728)) % 1.52/1.79 (define @t5731 () (=> @t883 @t5728)) % 1.52/1.79 (define @t5732 () (=> tptp.funcGraphProp4 @t5699)) % 1.52/1.79 (define @t5733 () (or @t2685 @t2684 @t2683 @t2682 @t2681 @t2679)) % 1.52/1.79 (define @t5734 () (or @t2625 @t5733)) % 1.52/1.79 (define @t5735 () (forall @t2687 @t5734)) % 1.52/1.79 (define @t5736 () (@list @t2680 @t2677 @t2676)) % 1.52/1.79 (define @t5737 () (forall @t5736 @t5734)) % 1.52/1.79 (define @t5738 () (forall @t5736 @t5733)) % 1.52/1.79 (define @t5739 () (@var "BOUND_VARIABLE_13356" $$unsorted)) % 1.52/1.79 (define @t5740 () (@var "BOUND_VARIABLE_13354" $$unsorted)) % 1.52/1.79 (define @t5741 () (or @t2625 @t5738)) % 1.52/1.79 (define @t5742 () (tptp.kpair @t5740 @t5739)) % 1.52/1.79 (define @t5743 () (tptp.in @t5742 @t882)) % 1.52/1.79 (define @t5744 () (not (tptp.in @t5742 @t973))) % 1.52/1.79 (define @t5745 () (not (tptp.in @t5739 @t1))) % 1.52/1.79 (define @t5746 () (not (tptp.in @t5740 @t2))) % 1.52/1.79 (define @t5747 () (or @t5636 @t5618 @t5746 @t5745 @t5744 @t5743)) % 1.52/1.79 (define @t5748 () (@list @t973 @t5740 @t5739)) % 1.52/1.79 (define @t5749 () (forall @t5748 @t5747)) % 1.52/1.79 (define @t5750 () (or @t5602 @t5749)) % 1.52/1.79 (define @t5751 () (or @t5746 @t5745 @t5744 @t5743)) % 1.52/1.79 (define @t5752 () (or @t5636 @t5618 @t5751)) % 1.52/1.79 (define @t5753 () (forall @t5748 @t5752)) % 1.52/1.79 (define @t5754 () (@list @t5740 @t5739)) % 1.52/1.79 (define @t5755 () (forall @t5754 @t5752)) % 1.52/1.79 (define @t5756 () (forall @t5754 @t5751)) % 1.52/1.79 (define @t5757 () (@var "BOUND_VARIABLE_13328" $$unsorted)) % 1.52/1.79 (define @t5758 () (or @t5636 @t5618 @t5756)) % 1.52/1.79 (define @t5759 () (tptp.kpair @t4 @t5757)) % 1.52/1.79 (define @t5760 () (tptp.in @t5759 @t882)) % 1.52/1.79 (define @t5761 () (not (tptp.in @t5759 @t973))) % 1.52/1.79 (define @t5762 () (not (tptp.in @t5757 @t1))) % 1.52/1.79 (define @t5763 () (or @t2125 @t5762 @t5761 @t5760)) % 1.52/1.79 (define @t5764 () (@list @t4 @t5757)) % 1.52/1.79 (define @t5765 () (forall @t5764 @t5763)) % 1.52/1.79 (define @t5766 () (or @t5639 @t5618 @t5765)) % 1.52/1.79 (define @t5767 () (=> @t5617 @t5765)) % 1.52/1.79 (define @t5768 () (or @t5762 @t5761 @t5760)) % 1.52/1.79 (define @t5769 () (or @t2125 @t5768)) % 1.52/1.79 (define @t5770 () (forall @t5764 @t5769)) % 1.52/1.79 (define @t5771 () (@list @t5757)) % 1.52/1.79 (define @t5772 () (forall @t5771 @t5769)) % 1.52/1.79 (define @t5773 () (forall @t5771 @t5768)) % 1.52/1.79 (define @t5774 () (or @t2125 @t5773)) % 1.52/1.79 (define @t5775 () (tptp.in @t2768 @t973)) % 1.52/1.79 (define @t5776 () (forall @t70 (or @t2169 (not @t5775) @t5725))) % 1.52/1.79 (define @t5777 () (or @t197 @t5776)) % 1.52/1.79 (define @t5778 () (not @t974)) % 1.52/1.79 (define @t5779 () (or @t4065 @t5778 @t883)) % 1.52/1.79 (define @t5780 () (=> tptp.funcextLem @t5732)) % 1.52/1.79 (define @t5781 () (= @t2690 @t2691)) % 1.52/1.79 (define @t5782 () (or @t2625 @t2694 @t2693 @t2692 @t5781)) % 1.52/1.79 (define @t5783 () (or @t2694 @t2693 @t2692 @t5781)) % 1.52/1.79 (define @t5784 () (or @t2625 @t5783)) % 1.52/1.79 (define @t5785 () (forall @t2695 @t5784)) % 1.52/1.79 (define @t5786 () (@list @t2689 @t2691)) % 1.52/1.79 (define @t5787 () (forall @t5786 @t5784)) % 1.52/1.79 (define @t5788 () (forall @t5786 @t5783)) % 1.52/1.79 (define @t5789 () (or @t2625 @t5788)) % 1.52/1.79 (define @t5790 () (or @t5602 @t5714)) % 1.52/1.79 (define @t5791 () (=> tptp.funcGraphProp2 @t5780)) % 1.52/1.79 (define @t5792 () (or @t2699 @t2698)) % 1.52/1.79 (define @t5793 () (or @t2611 @t5792)) % 1.52/1.79 (define @t5794 () (forall @t2701 @t5793)) % 1.52/1.79 (define @t5795 () (@list @t2697)) % 1.52/1.79 (define @t5796 () (forall @t5795 @t5793)) % 1.52/1.79 (define @t5797 () (forall @t5795 @t5792)) % 1.52/1.79 (define @t5798 () (or @t2611 @t5797)) % 1.52/1.79 (define @t5799 () (tptp.kpair @t4 @t2605)) % 1.52/1.79 (define @t5800 () (tptp.in @t5799 @t882)) % 1.52/1.79 (define @t5801 () (forall @t9 (or @t2125 @t5800))) % 1.52/1.79 (define @t5802 () (or @t5580 @t5801)) % 1.52/1.79 (define @t5803 () (or @t197 @t957)) % 1.52/1.79 (define @t5804 () (=> tptp.funcGraphProp3 @t5791)) % 1.52/1.79 (define @t5805 () (or @t2705 @t2704)) % 1.52/1.79 (define @t5806 () (or @t2625 @t5805)) % 1.52/1.79 (define @t5807 () (forall @t2707 @t5806)) % 1.52/1.79 (define @t5808 () (@list @t2703)) % 1.52/1.79 (define @t5809 () (forall @t5808 @t5806)) % 1.52/1.79 (define @t5810 () (forall @t5808 @t5805)) % 1.52/1.79 (define @t5811 () (or @t2625 @t5810)) % 1.52/1.79 (define @t5812 () (or @t5602 @t5801)) % 1.52/1.79 (define @t5813 () (=> tptp.funcGraphProp1 @t5804)) % 1.52/1.79 (define @t5814 () (or @t2715 @t2714 @t2713 @t2712 @t2711)) % 1.52/1.79 (define @t5815 () (or @t2717 @t5814)) % 1.52/1.79 (define @t5816 () (forall @t2719 @t5815)) % 1.52/1.79 (define @t5817 () (@list @t2710 @t2709)) % 1.52/1.79 (define @t5818 () (forall @t5817 @t5815)) % 1.52/1.79 (define @t5819 () (forall @t5817 @t5814)) % 1.52/1.79 (define @t5820 () (or @t2717 @t5819)) % 1.52/1.79 (define @t5821 () (lambda @t9 @t2877)) % 1.52/1.79 (define @t5822 () (tptp.ex1 @t2 @t5821)) % 1.52/1.79 (define @t5823 () (not @t5822)) % 1.52/1.79 (define @t5824 () (or @t5823 @t2881)) % 1.52/1.79 (define @t5825 () (not @t725)) % 1.52/1.79 (define @t5826 () (or @t5825 @t2881)) % 1.52/1.79 (define @t5827 () (or @t2876 @t2875 @t2874)) % 1.52/1.79 (define @t5828 () (or @t2125 @t2878 @t5827)) % 1.52/1.79 (define @t5829 () (forall @t2880 @t5828)) % 1.52/1.79 (define @t5830 () (@list @t2873)) % 1.52/1.79 (define @t5831 () (forall @t5830 @t5828)) % 1.52/1.79 (define @t5832 () (forall @t5830 @t5827)) % 1.52/1.79 (define @t5833 () (or @t2125 @t2878 @t5832)) % 1.52/1.79 (define @t5834 () (or @t197 @t317 @t2890)) % 1.52/1.79 (define @t5835 () (or @t317 @t2890)) % 1.52/1.79 (define @t5836 () (not @t153)) % 1.52/1.79 (define @t5837 () (or @t3636 @t5836 @t129)) % 1.52/1.79 (define @t5838 () (forall @t70 @t5837)) % 1.52/1.79 (define @t5839 () (or @t317 @t5838)) % 1.52/1.79 (define @t5840 () (or @t317 @t5837)) % 1.52/1.79 (define @t5841 () (or @t3636 @t317 @t5836 @t129)) % 1.52/1.79 (define @t5842 () (or @t317 @t5836 @t129)) % 1.52/1.79 (define @t5843 () (or @t5836 @t129)) % 1.52/1.79 (define @t5844 () (=> tptp.ex1E2 @t5813)) % 1.52/1.79 (define @t5845 () (or @t2730 @t2724 @t2723)) % 1.52/1.79 (define @t5846 () (or @t2657 @t5845)) % 1.52/1.79 (define @t5847 () (forall @t2732 @t5846)) % 1.52/1.79 (define @t5848 () (@list @t2722 @t2721)) % 1.52/1.79 (define @t5849 () (forall @t5848 @t5846)) % 1.52/1.79 (define @t5850 () (forall @t5848 @t5845)) % 1.52/1.79 (define @t5851 () (@var "BOUND_VARIABLE_13121" $$unsorted)) % 1.52/1.79 (define @t5852 () (or @t2657 @t5850)) % 1.52/1.79 (define @t5853 () (_ @t143 @t5851)) % 1.52/1.79 (define @t5854 () (not (tptp.in @t5851 @t937))) % 1.52/1.79 (define @t5855 () (_ @t143 @t2726)) % 1.52/1.79 (define @t5856 () (or @t2125 @t2728 @t2727 @t5855)) % 1.52/1.79 (define @t5857 () (forall @t2729 @t5856)) % 1.52/1.79 (define @t5858 () (not @t5857)) % 1.52/1.79 (define @t5859 () (or @t5858 @t5854 @t5853)) % 1.52/1.79 (define @t5860 () (@list @t143 @t5851)) % 1.52/1.79 (define @t5861 () (forall @t5860 @t5859)) % 1.52/1.79 (define @t5862 () (or @t5660 @t5861)) % 1.52/1.79 (define @t5863 () (or @t5854 @t5853)) % 1.52/1.79 (define @t5864 () (or @t5858 @t5863)) % 1.52/1.79 (define @t5865 () (forall @t5860 @t5864)) % 1.52/1.79 (define @t5866 () (@list @t5851)) % 1.52/1.79 (define @t5867 () (forall @t5866 @t5864)) % 1.52/1.79 (define @t5868 () (forall @t5866 @t5863)) % 1.52/1.79 (define @t5869 () (or @t5858 @t5868)) % 1.52/1.79 (define @t5870 () (or @t2728 @t2727 @t5855)) % 1.52/1.79 (define @t5871 () (or @t2125 @t5870)) % 1.52/1.79 (define @t5872 () (forall @t2729 @t5871)) % 1.52/1.79 (define @t5873 () (@list @t2725)) % 1.52/1.79 (define @t5874 () (forall @t5873 @t5871)) % 1.52/1.79 (define @t5875 () (forall @t5873 @t5870)) % 1.52/1.79 (define @t5876 () (or @t2125 @t5875)) % 1.52/1.79 (define @t5877 () (forall @t70 (or @t2169 @t3681 @t4005))) % 1.52/1.79 (define @t5878 () (or @t197 @t5877)) % 1.52/1.79 (define @t5879 () (or @t4065 @t3684 @t940)) % 1.52/1.79 (define @t5880 () (=> tptp.brelnall2 @t5844)) % 1.52/1.79 (define @t5881 () (=> tptp.brelnall1 @t5880)) % 1.52/1.79 (define @t5882 () (lambda @t9 @t2616)) % 1.52/1.79 (define @t5883 () (tptp.lam @t2 @t1 @t5882)) % 1.52/1.79 (define @t5884 () (tptp.in @t5883 @t2609)) % 1.52/1.79 (define @t5885 () (or @t2619 @t5884)) % 1.52/1.79 (define @t5886 () (or @t2619 @t933)) % 1.52/1.79 (define @t5887 () (=> tptp.lam2p @t5881)) % 1.52/1.79 (define @t5888 () (tptp.func @t2 @t1 @t5883)) % 1.52/1.79 (define @t5889 () (or @t2619 @t5888)) % 1.52/1.79 (define @t5890 () (or @t2619 @t929)) % 1.52/1.79 (define @t5891 () (=> tptp.lamp @t5887)) % 1.52/1.79 (define @t5892 () (= @t19 @t918)) % 1.52/1.79 (define @t5893 () (lambda @t135 @t5892)) % 1.52/1.79 (define @t5894 () (_ @t851 @t5893)) % 1.52/1.79 (define @t5895 () (_ @t888 @t5894)) % 1.52/1.79 (define @t5896 () (or @t2619 @t5895)) % 1.52/1.79 (define @t5897 () (=> tptp.lamProp @t5891)) % 1.52/1.79 (define @t5898 () (or @t5602 @t909)) % 1.52/1.79 (define @t5899 () (=> tptp.funcinfuncset @t5897)) % 1.52/1.79 (define @t5900 () (or @t2744 @t2743)) % 1.52/1.79 (define @t5901 () (or @t2611 @t5900)) % 1.52/1.79 (define @t5902 () (forall @t2746 @t5901)) % 1.52/1.79 (define @t5903 () (@list @t2742)) % 1.52/1.79 (define @t5904 () (forall @t5903 @t5901)) % 1.52/1.79 (define @t5905 () (forall @t5903 @t5900)) % 1.52/1.79 (define @t5906 () (or @t2611 @t5905)) % 1.52/1.79 (define @t5907 () (tptp.in @t2605 @t1)) % 1.52/1.79 (define @t5908 () (forall @t9 (or @t2125 @t5907))) % 1.52/1.79 (define @t5909 () (or @t5580 @t5908)) % 1.52/1.79 (define @t5910 () (or @t197 @t902)) % 1.52/1.79 (define @t5911 () (=> tptp.ap2p @t5899)) % 1.52/1.79 (define @t5912 () (or @t5580 @t889)) % 1.52/1.79 (define @t5913 () (=> tptp.infuncsetfunc @t5911)) % 1.52/1.79 (define @t5914 () (or @t2751 @t2750)) % 1.52/1.79 (define @t5915 () (or @t2625 @t5914)) % 1.52/1.79 (define @t5916 () (forall @t2753 @t5915)) % 1.52/1.79 (define @t5917 () (@list @t2749)) % 1.52/1.79 (define @t5918 () (forall @t5917 @t5915)) % 1.52/1.79 (define @t5919 () (forall @t5917 @t5914)) % 1.52/1.79 (define @t5920 () (or @t2625 @t5919)) % 1.52/1.79 (define @t5921 () (or @t5602 @t5908)) % 1.52/1.79 (define @t5922 () (=> tptp.app @t5913)) % 1.52/1.79 (define @t5923 () (or @t2757 @t2756)) % 1.52/1.79 (define @t5924 () (or @t2625 @t5923)) % 1.52/1.79 (define @t5925 () (forall @t2759 @t5924)) % 1.52/1.79 (define @t5926 () (@list @t2755)) % 1.52/1.79 (define @t5927 () (forall @t5926 @t5924)) % 1.52/1.79 (define @t5928 () (forall @t5926 @t5923)) % 1.52/1.79 (define @t5929 () (or @t2625 @t5928)) % 1.52/1.79 (define @t5930 () (lambda @t70 @t5725)) % 1.52/1.79 (define @t5931 () (tptp.dsetconstr @t1 @t5930)) % 1.52/1.79 (define @t5932 () (tptp.setunion @t5931)) % 1.52/1.79 (define @t5933 () (tptp.in @t5932 @t1)) % 1.52/1.79 (define @t5934 () (forall @t9 (or @t2125 @t5933))) % 1.52/1.79 (define @t5935 () (or @t5602 @t5934)) % 1.52/1.79 (define @t5936 () (or @t197 @t895)) % 1.52/1.79 (define @t5937 () (=> tptp.apProp @t5922)) % 1.52/1.79 (define @t5938 () (or @t2763 @t2762)) % 1.52/1.79 (define @t5939 () (or @t2625 @t5938)) % 1.52/1.79 (define @t5940 () (forall @t2765 @t5939)) % 1.52/1.79 (define @t5941 () (@list @t2761)) % 1.52/1.79 (define @t5942 () (forall @t5941 @t5939)) % 1.52/1.79 (define @t5943 () (forall @t5941 @t5938)) % 1.52/1.79 (define @t5944 () (or @t2625 @t5943)) % 1.52/1.79 (define @t5945 () (tptp.singleton @t5931)) % 1.52/1.79 (define @t5946 () (forall @t9 (or @t2125 @t5945))) % 1.52/1.79 (define @t5947 () (or @t5602 @t5946)) % 1.52/1.79 (define @t5948 () (or @t197 @t886)) % 1.52/1.79 (define @t5949 () (=> tptp.funcImageSingleton @t5937)) % 1.52/1.79 (define @t5950 () (_ @t67 @t289 @t383)) % 1.52/1.79 (define @t5951 () (lambda @t388 @t5950)) % 1.52/1.79 (define @t5952 () (tptp.dpsetconstr @t2 @t1 @t5951)) % 1.52/1.79 (define @t5953 () (tptp.in @t2768 @t5952)) % 1.52/1.79 (define @t5954 () (not @t5953)) % 1.52/1.79 (define @t5955 () (or @t5954 @t2166)) % 1.52/1.79 (define @t5956 () (not @t853)) % 1.52/1.79 (define @t5957 () (or @t5956 @t76)) % 1.52/1.79 (define @t5958 () (=> tptp.dpsetconstrER @t5949)) % 1.52/1.79 (define @t5959 () (or @t5954 @t2168)) % 1.52/1.79 (define @t5960 () (or @t5956 @t354)) % 1.52/1.79 (define @t5961 () (=> tptp.dpsetconstrEL2 @t5958)) % 1.52/1.79 (define @t5962 () (or @t5954 @t2124)) % 1.52/1.79 (define @t5963 () (or @t5956 @t7)) % 1.52/1.79 (define @t5964 () (=> tptp.dpsetconstrEL1 @t5961)) % 1.52/1.79 (define @t5965 () (or @t2777 @t2776 @t2775)) % 1.52/1.79 (define @t5966 () (or @t2125 @t5965)) % 1.52/1.79 (define @t5967 () (forall @t2779 @t5966)) % 1.52/1.79 (define @t5968 () (@list @t2774)) % 1.52/1.79 (define @t5969 () (forall @t5968 @t5966)) % 1.52/1.79 (define @t5970 () (forall @t5968 @t5965)) % 1.52/1.79 (define @t5971 () (or @t2125 @t5970)) % 1.52/1.79 (define @t5972 () (forall @t70 (or @t2169 @t2770 @t2166))) % 1.52/1.79 (define @t5973 () (or @t197 @t5972)) % 1.52/1.79 (define @t5974 () (or @t2169 @t5954 @t2166)) % 1.52/1.79 (define @t5975 () (or @t4065 @t5956 @t76)) % 1.52/1.79 (define @t5976 () (=> tptp.dpsetconstrERa @t5964)) % 1.52/1.79 (define @t5977 () (tptp.dpsetconstr @t2 @t1 @t4011)) % 1.52/1.79 (define @t5978 () (tptp.breln @t2 @t1 @t5977)) % 1.52/1.79 (define @t5979 () (=> tptp.setOfPairsIsBReln @t5976)) % 1.52/1.79 (define @t5980 () (tptp.subset @t5977 @t2782)) % 1.52/1.79 (define @t5981 () (=> tptp.dpsetconstrSub @t5979)) % 1.52/1.79 (define @t5982 () (or @t2787 @t2786 @t2785)) % 1.52/1.79 (define @t5983 () (or @t2125 @t5982)) % 1.52/1.79 (define @t5984 () (forall @t2789 @t5983)) % 1.52/1.79 (define @t5985 () (@list @t2784)) % 1.52/1.79 (define @t5986 () (forall @t5985 @t5983)) % 1.52/1.79 (define @t5987 () (forall @t5985 @t5982)) % 1.52/1.79 (define @t5988 () (or @t2125 @t5987)) % 1.52/1.79 (define @t5989 () (forall @t70 (or @t2169 @t2167 @t2769))) % 1.52/1.79 (define @t5990 () (or @t197 @t5989)) % 1.52/1.79 (define @t5991 () (or @t2169 @t2167 @t5953)) % 1.52/1.79 (define @t5992 () (or @t4065 @t4064 @t853)) % 1.52/1.79 (define @t5993 () (=> tptp.dpsetconstrI @t5981)) % 1.52/1.79 (define @t5994 () (_ tptp.kpair @t2792)) % 1.52/1.79 (define @t5995 () (= @t383 @t817)) % 1.52/1.79 (define @t5996 () (not @t687)) % 1.52/1.79 (define @t5997 () (or @t5996 @t5995)) % 1.52/1.79 (define @t5998 () (=> tptp.cartprodpairsurjEq @t5993)) % 1.52/1.79 (define @t5999 () (or @t2800 @t2799)) % 1.52/1.79 (define @t6000 () (or @t2125 @t5999)) % 1.52/1.79 (define @t6001 () (forall @t2802 @t6000)) % 1.52/1.79 (define @t6002 () (@list @t2798)) % 1.52/1.79 (define @t6003 () (forall @t6002 @t6000)) % 1.52/1.79 (define @t6004 () (forall @t6002 @t5999)) % 1.52/1.79 (define @t6005 () (or @t2125 @t6004)) % 1.52/1.79 (define @t6006 () (forall @t70 (or @t2169 @t2820))) % 1.52/1.79 (define @t6007 () (or @t197 @t6006)) % 1.52/1.79 (define @t6008 () (= @t19 @t812)) % 1.52/1.79 (define @t6009 () (or @t4065 @t6008)) % 1.52/1.79 (define @t6010 () (=> tptp.cartprodsndpairEq @t5998)) % 1.52/1.79 (define @t6011 () (or @t2806 @t2805)) % 1.52/1.79 (define @t6012 () (or @t2125 @t6011)) % 1.52/1.79 (define @t6013 () (forall @t2808 @t6012)) % 1.52/1.79 (define @t6014 () (@list @t2804)) % 1.52/1.79 (define @t6015 () (forall @t6014 @t6012)) % 1.52/1.79 (define @t6016 () (forall @t6014 @t6011)) % 1.52/1.79 (define @t6017 () (or @t2125 @t6016)) % 1.52/1.79 (define @t6018 () (forall @t70 (or @t2169 @t2858))) % 1.52/1.79 (define @t6019 () (or @t197 @t6018)) % 1.52/1.79 (define @t6020 () (= @t4 @t765)) % 1.52/1.79 (define @t6021 () (or @t4065 @t6020)) % 1.52/1.79 (define @t6022 () (=> tptp.cartprodfstpairEq @t6010)) % 1.52/1.79 (define @t6023 () (=> tptp.cartprodmempaircEq @t6022)) % 1.52/1.79 (define @t6024 () (not @t676)) % 1.52/1.79 (define @t6025 () (or @t6024 @t354)) % 1.52/1.79 (define @t6026 () (=> tptp.cartprodpairmemER @t6023)) % 1.52/1.79 (define @t6027 () (or @t6024 @t7)) % 1.52/1.79 (define @t6028 () (=> tptp.cartprodpairmemEL @t6026)) % 1.52/1.79 (define @t6029 () (or @t5996 @t822)) % 1.52/1.79 (define @t6030 () (=> tptp.cartprodsndin @t6028)) % 1.52/1.79 (define @t6031 () (not @t692)) % 1.52/1.79 (define @t6032 () (or @t6031 @t5995)) % 1.52/1.79 (define @t6033 () (=> tptp.kpairsurjEq @t6030)) % 1.52/1.79 (define @t6034 () (=> tptp.ksndpairEq @t6033)) % 1.52/1.79 (define @t6035 () (_ tptp.dsetconstr @t2825)) % 1.52/1.79 (define @t6036 () (or @t6031 @t809)) % 1.52/1.79 (define @t6037 () (=> tptp.ksndsingleton @t6034)) % 1.52/1.79 (define @t6038 () (not @t783)) % 1.52/1.79 (define @t6039 () (or @t6038 @t793)) % 1.52/1.79 (define @t6040 () (=> tptp.setukpairinjR @t6037)) % 1.52/1.79 (define @t6041 () (_ tptp.setadjoin @t2585)) % 1.52/1.79 (define @t6042 () (not @t777)) % 1.52/1.79 (define @t6043 () (or @t6042 @t793)) % 1.52/1.79 (define @t6044 () (=> tptp.setukpairinjR2 @t6040)) % 1.52/1.79 (define @t6045 () (not @t797)) % 1.52/1.79 (define @t6046 () (or @t6045 @t129)) % 1.52/1.79 (define @t6047 () (=> tptp.upairequniteq @t6044)) % 1.52/1.79 (define @t6048 () (not (= @t383 @t383))) % 1.52/1.79 (define @t6049 () (or @t2844 @t6048 @t793)) % 1.52/1.79 (define @t6050 () (not @t387)) % 1.52/1.79 (define @t6051 () (or @t6050 @t2841 @t6050 @t793)) % 1.52/1.80 (define @t6052 () (or @t2841 @t6050 @t793)) % 1.52/1.80 (define @t6053 () (forall @t1067 @t6052)) % 1.52/1.80 (define @t6054 () (forall @t2846 @t6053)) % 1.52/1.80 (define @t6055 () (forall (@list @t4 @t19 @t383 @t289) @t6052)) % 1.52/1.80 (define @t6056 () (or @t6042 @t6050 @t793)) % 1.52/1.80 (define @t6057 () (=> tptp.setukpairinjR1 @t6047)) % 1.52/1.80 (define @t6058 () (not (= @t19 @t19))) % 1.52/1.80 (define @t6059 () (or @t6058 @t2849)) % 1.52/1.80 (define @t6060 () (tptp.setadjoin @t2585 tptp.emptyset)) % 1.52/1.80 (define @t6061 () (= @t2840 @t6060)) % 1.52/1.80 (define @t6062 () (or @t282 @t282 @t6061)) % 1.52/1.80 (define @t6063 () (or @t282 @t6061)) % 1.52/1.80 (define @t6064 () (forall @t9 @t6063)) % 1.52/1.80 (define @t6065 () (forall @t70 @t6064)) % 1.52/1.80 (define @t6066 () (@list @t19 @t4)) % 1.52/1.80 (define @t6067 () (forall @t6066 @t6063)) % 1.52/1.80 (define @t6068 () (or @t282 @t790)) % 1.52/1.80 (define @t6069 () (=> tptp.setukpairinjR12 @t6057)) % 1.52/1.80 (define @t6070 () (or @t6058 @t2851)) % 1.52/1.80 (define @t6071 () (= @t2585 @t2838)) % 1.52/1.80 (define @t6072 () (or @t282 @t282 @t6071)) % 1.52/1.80 (define @t6073 () (or @t282 @t6071)) % 1.52/1.80 (define @t6074 () (forall @t9 @t6073)) % 1.52/1.80 (define @t6075 () (forall @t70 @t6074)) % 1.52/1.80 (define @t6076 () (forall @t6066 @t6073)) % 1.52/1.80 (define @t6077 () (= @t279 @t293)) % 1.52/1.80 (define @t6078 () (or @t282 @t6077)) % 1.52/1.80 (define @t6079 () (=> tptp.setukpairinjR11 @t6069)) % 1.52/1.80 (define @t6080 () (or @t6038 @t745)) % 1.52/1.80 (define @t6081 () (=> tptp.setukpairinjL @t6079)) % 1.52/1.80 (define @t6082 () (or @t6042 @t745)) % 1.52/1.80 (define @t6083 () (=> tptp.setukpairinjL2 @t6081)) % 1.52/1.80 (define @t6084 () (or @t5996 @t770)) % 1.52/1.80 (define @t6085 () (=> tptp.cartprodfstin @t6083)) % 1.52/1.80 (define @t6086 () (=> tptp.kfstpairEq @t6085)) % 1.52/1.80 (define @t6087 () (or @t5384 @t761)) % 1.52/1.80 (define @t6088 () (=> tptp.theprop @t6086)) % 1.52/1.80 (define @t6089 () (_ tptp.in @t2585)) % 1.52/1.80 (define @t6090 () (or @t6031 @t756)) % 1.52/1.80 (define @t6091 () (=> tptp.kfstsingleton @t6088)) % 1.52/1.80 (define @t6092 () (not @t748)) % 1.52/1.80 (define @t6093 () (or @t6092 @t745)) % 1.52/1.80 (define @t6094 () (=> tptp.setukpairinjL1 @t6091)) % 1.52/1.80 (define @t6095 () (= @t275 @t279)) % 1.52/1.80 (define @t6096 () (not @t6095)) % 1.52/1.80 (define @t6097 () (or @t6096 @t129)) % 1.52/1.80 (define @t6098 () (=> tptp.singletonsuniq @t6094)) % 1.52/1.80 (define @t6099 () (or @t2872 @t2871)) % 1.52/1.80 (define @t6100 () (or @t2882 @t6099 @t2716)) % 1.52/1.80 (define @t6101 () (forall @t2884 @t6100)) % 1.52/1.80 (define @t6102 () (@list @t2870)) % 1.52/1.80 (define @t6103 () (forall @t6102 @t6100)) % 1.52/1.80 (define @t6104 () (forall @t6102 @t6099)) % 1.52/1.80 (define @t6105 () (or @t2882 @t6104 @t2716)) % 1.52/1.80 (define @t6106 () (or @t2882 @t2893 @t5822)) % 1.52/1.80 (define @t6107 () (or @t2882 @t2893 @t725)) % 1.52/1.80 (define @t6108 () (not @t2894)) % 1.52/1.80 (define @t6109 () (=> @t2894 @t725)) % 1.52/1.80 (define @t6110 () (or @t197 @t317)) % 1.52/1.80 (define @t6111 () (forall @t9 (not @t308))) % 1.52/1.80 (define @t6112 () (not @t6111)) % 1.52/1.80 (define @t6113 () (=> tptp.ex1I2 @t6098)) % 1.52/1.80 (define @t6114 () (lambda @t70 @t2886)) % 1.52/1.80 (define @t6115 () (tptp.ex1 @t2 @t6114)) % 1.52/1.80 (define @t6116 () (or @t2125 @t2878 @t2891 @t6115)) % 1.52/1.80 (define @t6117 () (or @t197 @t317 @t2891 @t729)) % 1.52/1.80 (define @t6118 () (or @t317 @t2891 @t729)) % 1.52/1.80 (define @t6119 () (=> @t2890 @t729)) % 1.52/1.80 (define @t6120 () (=> @t144 @t6119)) % 1.52/1.80 (define @t6121 () (=> tptp.ex1I @t6113)) % 1.52/1.80 (define @t6122 () (or @t5823 @t2894)) % 1.52/1.80 (define @t6123 () (or @t5825 @t2894)) % 1.52/1.80 (define @t6124 () (=> tptp.ex1E1 @t6121)) % 1.52/1.80 (define @t6125 () (or @t2898 @t2897)) % 1.52/1.80 (define @t6126 () (or @t2882 @t6125 @t2900)) % 1.52/1.80 (define @t6127 () (forall @t2902 @t6126)) % 1.52/1.80 (define @t6128 () (@list @t2896)) % 1.52/1.80 (define @t6129 () (forall @t6128 @t6126)) % 1.52/1.80 (define @t6130 () (forall @t6128 @t6125)) % 1.52/1.80 (define @t6131 () (or @t2882 @t6130 @t2900)) % 1.52/1.80 (define @t6132 () (tptp.dsetconstr @t2 @t5821)) % 1.52/1.80 (define @t6133 () (tptp.singleton @t6132)) % 1.52/1.80 (define @t6134 () (or @t2882 @t2893 @t6133)) % 1.52/1.80 (define @t6135 () (or @t2882 @t2893 @t716)) % 1.52/1.80 (define @t6136 () (=> @t2894 @t716)) % 1.52/1.80 (define @t6137 () (=> tptp.singletonprop @t6124)) % 1.52/1.80 (define @t6138 () (= @t4 @t713)) % 1.52/1.80 (define @t6139 () (=> tptp.setunionsingleton @t6137)) % 1.52/1.80 (define @t6140 () (=> tptp.setunionsingleton2 @t6139)) % 1.52/1.80 (define @t6141 () (=> tptp.setunionsingleton1 @t6140)) % 1.52/1.80 (define @t6142 () (not @t44)) % 1.52/1.80 (define @t6143 () (or @t6142 @t2913)) % 1.52/1.80 (define @t6144 () (not @t698)) % 1.52/1.80 (define @t6145 () (or @t6144 @t1217)) % 1.52/1.80 (define @t6146 () (forall @t700 (not @t699))) % 1.52/1.80 (define @t6147 () (not @t6146)) % 1.52/1.80 (define @t6148 () (=> tptp.setunionE2 @t6141)) % 1.52/1.80 (define @t6149 () (or @t5996 @t692)) % 1.52/1.80 (define @t6150 () (=> tptp.cartprodmempair @t6148)) % 1.52/1.80 (define @t6151 () (or @t5996 @t2924)) % 1.52/1.80 (define @t6152 () (or @t2921 @t2920)) % 1.52/1.80 (define @t6153 () (or @t2125 @t6152)) % 1.52/1.80 (define @t6154 () (forall @t2923 @t6153)) % 1.52/1.80 (define @t6155 () (@list @t2919)) % 1.52/1.80 (define @t6156 () (forall @t6155 @t6153)) % 1.52/1.80 (define @t6157 () (forall @t6155 @t6152)) % 1.52/1.80 (define @t6158 () (or @t2125 @t6157)) % 1.52/1.80 (define @t6159 () (forall @t70 (or @t2169 (not (= @t383 @t2768))))) % 1.52/1.80 (define @t6160 () (or @t197 @t6159)) % 1.52/1.80 (define @t6161 () (not @t6159)) % 1.52/1.80 (define @t6162 () (and @t7 @t6161)) % 1.52/1.80 (define @t6163 () (forall @t9 (not @t6162))) % 1.52/1.80 (define @t6164 () (not @t6163)) % 1.52/1.80 (define @t6165 () (not @t681)) % 1.52/1.80 (define @t6166 () (or @t4065 @t6165)) % 1.52/1.80 (define @t6167 () (forall @t70 (not @t682))) % 1.52/1.80 (define @t6168 () (not @t6167)) % 1.52/1.80 (define @t6169 () (=> tptp.cartprodmempair1 @t6150)) % 1.52/1.80 (define @t6170 () (or @t2928 @t2927)) % 1.52/1.80 (define @t6171 () (or @t2125 @t6170)) % 1.52/1.80 (define @t6172 () (forall @t2930 @t6171)) % 1.52/1.80 (define @t6173 () (@list @t2926)) % 1.52/1.80 (define @t6174 () (forall @t6173 @t6171)) % 1.52/1.80 (define @t6175 () (forall @t6173 @t6170)) % 1.52/1.80 (define @t6176 () (or @t2125 @t6175)) % 1.52/1.80 (define @t6177 () (forall @t70 (or @t2169 @t2810))) % 1.52/1.80 (define @t6178 () (or @t197 @t6177)) % 1.52/1.80 (define @t6179 () (or @t4065 @t676)) % 1.52/1.80 (define @t6180 () (=> tptp.cartprodpairin @t6169)) % 1.52/1.80 (define @t6181 () (or @t2937 @t2936)) % 1.52/1.80 (define @t6182 () (or @t2125 @t6181)) % 1.52/1.80 (define @t6183 () (forall @t2939 @t6182)) % 1.52/1.80 (define @t6184 () (@list @t2935)) % 1.52/1.80 (define @t6185 () (forall @t6184 @t6182)) % 1.52/1.80 (define @t6186 () (forall @t6184 @t6181)) % 1.52/1.80 (define @t6187 () (or @t2125 @t6186)) % 1.52/1.80 (define @t6188 () (tptp.in @t2768 @t2934)) % 1.52/1.80 (define @t6189 () (forall @t70 (or @t2169 @t6188))) % 1.52/1.80 (define @t6190 () (or @t197 @t6189)) % 1.52/1.80 (define @t6191 () (or @t4065 @t670)) % 1.52/1.80 (define @t6192 () (=> tptp.ubforcartprodlem3 @t6180)) % 1.52/1.80 (define @t6193 () (or @t2943 @t2942)) % 1.52/1.80 (define @t6194 () (or @t2125 @t6193)) % 1.52/1.80 (define @t6195 () (forall @t2945 @t6194)) % 1.52/1.80 (define @t6196 () (@list @t2941)) % 1.52/1.80 (define @t6197 () (forall @t6196 @t6194)) % 1.52/1.80 (define @t6198 () (forall @t6196 @t6193)) % 1.52/1.80 (define @t6199 () (or @t2125 @t6198)) % 1.52/1.80 (define @t6200 () (tptp.in @t2840 @t2934)) % 1.52/1.80 (define @t6201 () (forall @t70 (or @t2169 @t6200))) % 1.52/1.80 (define @t6202 () (or @t197 @t6201)) % 1.52/1.80 (define @t6203 () (or @t4065 @t664)) % 1.52/1.80 (define @t6204 () (=> tptp.ubforcartprodlem2 @t6192)) % 1.52/1.80 (define @t6205 () (or @t2949 @t2948)) % 1.52/1.80 (define @t6206 () (or @t2125 @t6205)) % 1.52/1.80 (define @t6207 () (forall @t2951 @t6206)) % 1.52/1.80 (define @t6208 () (@list @t2947)) % 1.52/1.80 (define @t6209 () (forall @t6208 @t6206)) % 1.52/1.80 (define @t6210 () (forall @t6208 @t6205)) % 1.52/1.80 (define @t6211 () (or @t2125 @t6210)) % 1.52/1.80 (define @t6212 () (tptp.subset @t2840 @t2933)) % 1.52/1.80 (define @t6213 () (forall @t70 (or @t2169 @t6212))) % 1.52/1.80 (define @t6214 () (or @t197 @t6213)) % 1.52/1.80 (define @t6215 () (or @t4065 @t658)) % 1.52/1.80 (define @t6216 () (=> tptp.ubforcartprodlem1 @t6204)) % 1.52/1.80 (define @t6217 () (or @t2955 @t2954)) % 1.52/1.80 (define @t6218 () (or @t2125 @t6217)) % 1.52/1.80 (define @t6219 () (forall @t2957 @t6218)) % 1.52/1.80 (define @t6220 () (@list @t2953)) % 1.52/1.80 (define @t6221 () (forall @t6220 @t6218)) % 1.52/1.80 (define @t6222 () (forall @t6220 @t6217)) % 1.52/1.80 (define @t6223 () (or @t2125 @t6222)) % 1.52/1.80 (define @t6224 () (tptp.in @t2838 @t2933)) % 1.52/1.80 (define @t6225 () (forall @t70 (or @t2169 @t6224))) % 1.52/1.80 (define @t6226 () (or @t197 @t6225)) % 1.52/1.80 (define @t6227 () (or @t4065 @t653)) % 1.52/1.80 (define @t6228 () (=> tptp.upairinpowunion @t6216)) % 1.52/1.80 (define @t6229 () (or @t2961 @t2960)) % 1.52/1.80 (define @t6230 () (or @t2125 @t6229)) % 1.52/1.80 (define @t6231 () (forall @t2963 @t6230)) % 1.52/1.80 (define @t6232 () (@list @t2959)) % 1.52/1.80 (define @t6233 () (forall @t6232 @t6230)) % 1.52/1.80 (define @t6234 () (forall @t6232 @t6229)) % 1.52/1.80 (define @t6235 () (or @t2125 @t6234)) % 1.52/1.80 (define @t6236 () (tptp.subset @t2838 @t2932)) % 1.52/1.80 (define @t6237 () (forall @t70 (or @t2169 @t6236))) % 1.52/1.80 (define @t6238 () (or @t197 @t6237)) % 1.52/1.80 (define @t6239 () (or @t4065 @t648)) % 1.52/1.80 (define @t6240 () (=> tptp.upairsubunion @t6228)) % 1.52/1.80 (define @t6241 () (not @t295)) % 1.52/1.80 (define @t6242 () (or @t6241 @t745 @t2965)) % 1.52/1.80 (define @t6243 () (or @t745 @t2965)) % 1.52/1.80 (define @t6244 () (=> tptp.upairset2E @t6240)) % 1.52/1.80 (define @t6245 () (or @t197 @t645)) % 1.52/1.80 (define @t6246 () (=> tptp.singletoninpowunion @t6244)) % 1.52/1.80 (define @t6247 () (or @t197 @t641)) % 1.52/1.80 (define @t6248 () (=> tptp.singletoninpowerset @t6246)) % 1.52/1.80 (define @t6249 () (or @t197 @t637)) % 1.52/1.80 (define @t6250 () (=> tptp.singletonsubset @t6248)) % 1.52/1.80 (define @t6251 () (=> tptp.kpairp @t6250)) % 1.52/1.80 (define @t6252 () (=> tptp.kpairiskpair @t6251)) % 1.52/1.80 (define @t6253 () (=> tptp.setukpairIR @t6252)) % 1.52/1.80 (define @t6254 () (=> tptp.setukpairIL @t6253)) % 1.52/1.80 (define @t6255 () (=> tptp.secondinupair @t6254)) % 1.52/1.80 (define @t6256 () (or @t7 @t6 @t612)) % 1.52/1.80 (define @t6257 () (not @t437)) % 1.52/1.80 (define @t6258 () (not @t197)) % 1.52/1.80 (define @t6259 () (=> tptp.symdiffIneg2 @t6255)) % 1.52/1.80 (define @t6260 () (or @t197 @t437 @t612)) % 1.52/1.80 (define @t6261 () (=> tptp.symdiffIneg1 @t6259)) % 1.52/1.80 (define @t6262 () (or @t7 @t437 @t602)) % 1.52/1.80 (define @t6263 () (=> tptp.symdiffI2 @t6261)) % 1.52/1.80 (define @t6264 () (or @t197 @t6 @t602)) % 1.52/1.80 (define @t6265 () (=> tptp.symdiffI1 @t6263)) % 1.52/1.80 (define @t6266 () (or @t612 @t2995 @t2994)) % 1.52/1.80 (define @t6267 () (or @t2995 @t2994)) % 1.52/1.80 (define @t6268 () (and @t2125 @t2988 @t3753)) % 1.52/1.80 (define @t6269 () (and @t2124 @t2990 @t3753)) % 1.52/1.80 (define @t6270 () (or @t6269 @t6268)) % 1.52/1.80 (define @t6271 () (or @t6269 @t6268 false)) % 1.52/1.80 (define @t6272 () (and @t2125 @t2988 @t1063)) % 1.52/1.80 (define @t6273 () (and @t2124 @t2990 @t1063)) % 1.52/1.80 (define @t6274 () (or @t173 @t6273 @t6272 @t173)) % 1.52/1.80 (define @t6275 () (or @t6273 @t6272 @t173)) % 1.52/1.80 (define @t6276 () (and @t197 @t6 @t1063)) % 1.52/1.80 (define @t6277 () (and @t7 @t437 @t1063)) % 1.52/1.80 (define @t6278 () (or @t6277 @t6276 @t173)) % 1.52/1.80 (define @t6279 () (and @t6 @t1063)) % 1.52/1.80 (define @t6280 () (not @t500)) % 1.52/1.80 (define @t6281 () (=> tptp.symdiffE @t6265)) % 1.52/1.80 (define @t6282 () (= tptp.emptyset @t568)) % 1.52/1.80 (define @t6283 () (not @t6282)) % 1.52/1.80 (define @t6284 () (or @t6283 @t422)) % 1.52/1.80 (define @t6285 () (=> tptp.setminusSubset1 @t6281)) % 1.52/1.80 (define @t6286 () (=> tptp.setminusLsub @t6285)) % 1.52/1.80 (define @t6287 () (or @t437 @t581)) % 1.52/1.80 (define @t6288 () (=> tptp.setminusIRneg @t6286)) % 1.52/1.80 (define @t6289 () (or @t7 @t581)) % 1.52/1.80 (define @t6290 () (=> tptp.setminusILneg @t6288)) % 1.52/1.80 (define @t6291 () (or @t569 @t6 @t197)) % 1.52/1.80 (define @t6292 () (or @t6 @t197)) % 1.52/1.80 (define @t6293 () (not @t581)) % 1.52/1.80 (define @t6294 () (=> tptp.setminusELneg @t6290)) % 1.52/1.80 (define @t6295 () (or @t569 @t197 @t6)) % 1.52/1.80 (define @t6296 () (or @t197 @t6)) % 1.52/1.80 (define @t6297 () (=> tptp.setminusERneg @t6294)) % 1.52/1.80 (define @t6298 () (or @t441 @t6282)) % 1.52/1.80 (define @t6299 () (=> tptp.setminusSubset2 @t6297)) % 1.52/1.80 (define @t6300 () (or @t581 @t437)) % 1.52/1.80 (define @t6301 () (=> tptp.setminusER @t6299)) % 1.52/1.80 (define @t6302 () (or @t581 @t7)) % 1.52/1.80 (define @t6303 () (=> tptp.setminusEL @t6301)) % 1.52/1.80 (define @t6304 () (or @t197 @t6 @t569)) % 1.52/1.80 (define @t6305 () (=> tptp.setminusI @t6303)) % 1.52/1.80 (define @t6306 () (=> tptp.bs114d @t6305)) % 1.52/1.80 (define @t6307 () (= @t2 @t517)) % 1.52/1.80 (define @t6308 () (not @t6307)) % 1.52/1.80 (define @t6309 () (or @t6308 @t422)) % 1.52/1.80 (define @t6310 () (=> tptp.binintersectSubset1 @t6306)) % 1.52/1.80 (define @t6311 () (= @t1 @t517)) % 1.52/1.80 (define @t6312 () (not @t427)) % 1.52/1.80 (define @t6313 () (or @t6312 @t6311)) % 1.52/1.80 (define @t6314 () (=> tptp.binintersectSubset4 @t6310)) % 1.52/1.80 (define @t6315 () (_ tptp.subset @t3015)) % 1.52/1.80 (define @t6316 () (=> tptp.binintersectRsub @t6314)) % 1.52/1.80 (define @t6317 () (= tptp.emptyset @t517)) % 1.52/1.80 (define @t6318 () (or @t3029 @t6317)) % 1.52/1.80 (define @t6319 () (or @t197 @t437)) % 1.52/1.80 (define @t6320 () (forall @t9 (not @t545))) % 1.52/1.80 (define @t6321 () (not @t6320)) % 1.52/1.80 (define @t6322 () (=> tptp.disjointsetsI1 @t6316)) % 1.52/1.80 (define @t6323 () (not @t518)) % 1.52/1.80 (define @t6324 () (or @t6323 @t6)) % 1.52/1.80 (define @t6325 () (=> tptp.binintersectER @t6322)) % 1.52/1.80 (define @t6326 () (not @t6311)) % 1.52/1.80 (define @t6327 () (or @t6326 @t427)) % 1.52/1.80 (define @t6328 () (=> tptp.binintersectSubset3 @t6325)) % 1.52/1.80 (define @t6329 () (or @t441 @t6307)) % 1.52/1.80 (define @t6330 () (=> tptp.binintersectSubset2 @t6328)) % 1.52/1.80 (define @t6331 () (=> tptp.binintersectLsub @t6330)) % 1.52/1.80 (define @t6332 () (or @t6323 @t7)) % 1.52/1.80 (define @t6333 () (=> tptp.binintersectEL @t6331)) % 1.52/1.80 (define @t6334 () (not @t524)) % 1.52/1.80 (define @t6335 () (not @t526)) % 1.52/1.80 (define @t6336 () (or @t6335 @t6334 @t523)) % 1.52/1.80 (define @t6337 () (=> tptp.binintersectSubset5 @t6333)) % 1.52/1.80 (define @t6338 () (or @t197 @t437 @t518)) % 1.52/1.80 (define @t6339 () (=> tptp.binintersectI @t6337)) % 1.52/1.80 (define @t6340 () (=> tptp.binunionRsub @t6339)) % 1.52/1.80 (define @t6341 () (=> tptp.binunionLsub @t6340)) % 1.52/1.80 (define @t6342 () (not @t495)) % 1.52/1.80 (define @t6343 () (or @t6342 @t7 @t6)) % 1.52/1.80 (define @t6344 () (=> tptp.binunionE @t6341)) % 1.52/1.80 (define @t6345 () (and @t2988 @t3753)) % 1.52/1.80 (define @t6346 () (and @t2124 @t3753)) % 1.52/1.80 (define @t6347 () (or @t3049 @t6346 @t6345)) % 1.52/1.80 (define @t6348 () (or @t3049 @t6346 @t6345 false)) % 1.52/1.80 (define @t6349 () (and @t2988 @t1063)) % 1.52/1.80 (define @t6350 () (and @t2124 @t1063)) % 1.52/1.80 (define @t6351 () (or @t173 @t3049 @t6350 @t6349 @t173)) % 1.52/1.80 (define @t6352 () (or @t3049 @t6350 @t6349 @t173)) % 1.52/1.80 (define @t6353 () (forall @t179 @t6352)) % 1.52/1.80 (define @t6354 () (forall @t245 @t6353)) % 1.52/1.80 (define @t6355 () (and @t7 @t1063)) % 1.52/1.80 (define @t6356 () (or @t6342 @t6355 @t6279 @t173)) % 1.52/1.80 (define @t6357 () (or @t6355 @t6279 @t173)) % 1.52/1.80 (define @t6358 () (=> tptp.binunionEcases @t6344)) % 1.52/1.80 (define @t6359 () (or @t437 @t495)) % 1.52/1.80 (define @t6360 () (=> tptp.binunionIR @t6358)) % 1.52/1.80 (define @t6361 () (=> tptp.upairset2IR @t6360)) % 1.52/1.80 (define @t6362 () (or @t197 @t495)) % 1.52/1.80 (define @t6363 () (=> tptp.binunionIL @t6361)) % 1.52/1.80 (define @t6364 () (tptp.subset @t6132 @t2)) % 1.52/1.80 (define @t6365 () (=> tptp.sepSubset @t6363)) % 1.52/1.80 (define @t6366 () (tptp.in @t6132 @t2181)) % 1.52/1.80 (define @t6367 () (=> tptp.sepInPowerset @t6365)) % 1.52/1.80 (define @t6368 () (or @t441 @t485)) % 1.52/1.80 (define @t6369 () (=> tptp.powersetsubset @t6367)) % 1.52/1.80 (define @t6370 () (=> tptp.inPowerset @t6369)) % 1.52/1.80 (define @t6371 () (not @t35)) % 1.52/1.80 (define @t6372 () (or @t6371 @t427)) % 1.52/1.80 (define @t6373 () (=> tptp.powersetE1 @t6370)) % 1.52/1.80 (define @t6374 () (or @t6312 @t35)) % 1.52/1.80 (define @t6375 () (=> tptp.powersetI1 @t6373)) % 1.52/1.80 (define @t6376 () (not @t475)) % 1.52/1.80 (define @t6377 () (or @t6376 @t196)) % 1.52/1.80 (define @t6378 () (=> tptp.subsetemptysetimpeq @t6375)) % 1.52/1.80 (define @t6379 () (or @t441 @t6312 @t3)) % 1.52/1.80 (define @t6380 () (=> tptp.setextsub @t6378)) % 1.52/1.80 (define @t6381 () (or @t441 @t469)) % 1.52/1.80 (define @t6382 () (=> tptp.subset2powerset @t6380)) % 1.52/1.80 (define @t6383 () (or @t441 @t465)) % 1.52/1.80 (define @t6384 () (=> tptp.setadjoinSub2 @t6382)) % 1.52/1.80 (define @t6385 () (=> tptp.setadjoinSub @t6384)) % 1.52/1.80 (define @t6386 () (not @t455)) % 1.52/1.80 (define @t6387 () (or @t441 @t6386 @t454)) % 1.52/1.80 (define @t6388 () (=> tptp.subsetTrans @t6385)) % 1.52/1.80 (define @t6389 () (=> tptp.subsetRefl @t6388)) % 1.52/1.80 (define @t6390 () (@list @t1 @t4)) % 1.52/1.80 (define @t6391 () (or @t2990 @t2988)) % 1.52/1.80 (define @t6392 () (not (= @t1 @t1))) % 1.52/1.80 (define @t6393 () (or @t2990 @t2988 @t6392)) % 1.52/1.80 (define @t6394 () (or @t445 @t2125 @t2988 @t445)) % 1.52/1.80 (define @t6395 () (or @t2125 @t2988 @t445)) % 1.52/1.80 (define @t6396 () (forall @t64 @t6395)) % 1.52/1.80 (define @t6397 () (forall @t6390 @t6396)) % 1.52/1.80 (define @t6398 () (forall (@list @t1 @t4 @t2) @t6395)) % 1.52/1.80 (define @t6399 () (or @t197 @t6 @t445)) % 1.52/1.80 (define @t6400 () (=> tptp.notequalI2 @t6389)) % 1.52/1.80 (define @t6401 () (or @t3080 @t6392)) % 1.52/1.80 (define @t6402 () (or @t445 @t2997 @t445)) % 1.52/1.80 (define @t6403 () (or @t2997 @t445)) % 1.52/1.80 (define @t6404 () (forall @t64 @t6403)) % 1.52/1.80 (define @t6405 () (forall @t41 @t6404)) % 1.52/1.80 (define @t6406 () (@list @t1 @t2)) % 1.52/1.80 (define @t6407 () (forall @t6406 @t6403)) % 1.52/1.80 (define @t6408 () (or @t422 @t445)) % 1.52/1.80 (define @t6409 () (=> tptp.notequalI1 @t6400)) % 1.52/1.80 (define @t6410 () (or @t197 @t6 @t441)) % 1.52/1.80 (define @t6411 () (=> tptp.notsubsetI @t6409)) % 1.52/1.80 (define @t6412 () (or @t441 @t6 @t197)) % 1.52/1.80 (define @t6413 () (=> tptp.subsetE2 @t6411)) % 1.52/1.80 (define @t6414 () (or @t441 @t197 @t6)) % 1.52/1.80 (define @t6415 () (=> tptp.subsetE @t6413)) % 1.52/1.80 (define @t6416 () (=> tptp.emptysetsubset @t6415)) % 1.52/1.80 (define @t6417 () (or @t3088 @t422)) % 1.52/1.80 (define @t6418 () (=> tptp.subsetI2 @t6416)) % 1.52/1.80 (define @t6419 () (or @t6392 @t3080)) % 1.52/1.80 (define @t6420 () (or @t445 @t445 @t2997)) % 1.52/1.80 (define @t6421 () (or @t445 @t2997)) % 1.52/1.80 (define @t6422 () (forall @t64 @t6421)) % 1.52/1.80 (define @t6423 () (forall @t41 @t6422)) % 1.52/1.80 (define @t6424 () (forall @t6406 @t6421)) % 1.52/1.80 (define @t6425 () (or @t445 @t422)) % 1.52/1.80 (define @t6426 () (=> tptp.eqimpsubset1 @t6418)) % 1.52/1.80 (define @t6427 () (or @t445 @t445 @t3023)) % 1.52/1.80 (define @t6428 () (or @t445 @t3023)) % 1.52/1.80 (define @t6429 () (forall @t64 @t6428)) % 1.52/1.80 (define @t6430 () (forall @t41 @t6429)) % 1.52/1.80 (define @t6431 () (forall @t6406 @t6428)) % 1.52/1.80 (define @t6432 () (or @t445 @t427)) % 1.52/1.80 (define @t6433 () (=> tptp.eqimpsubset2 @t6426)) % 1.52/1.80 (define @t6434 () (=> tptp.subsetI1 @t6433)) % 1.52/1.80 (define @t6435 () (or @t2990 @t2990 @t3095)) % 1.52/1.80 (define @t6436 () (forall @t9 @t6435)) % 1.52/1.80 (define @t6437 () (not @t6436)) % 1.52/1.80 (define @t6438 () (or @t6392 @t6437 (= @t3091 @t3093))) % 1.52/1.80 (define @t6439 () (= (tptp.dsetconstr @t2 @t3090) @t3093)) % 1.52/1.80 (define @t6440 () (not (forall @t9 (or @t2125 @t2990 @t3095)))) % 1.52/1.80 (define @t6441 () (or @t445 @t445 @t6440 @t6439)) % 1.52/1.80 (define @t6442 () (or @t445 @t6440 @t6439)) % 1.52/1.80 (define @t6443 () (forall @t64 @t6442)) % 1.52/1.80 (define @t6444 () (forall @t3099 @t6443)) % 1.52/1.80 (define @t6445 () (forall (@list @t1 @t3090 @t3092 @t2) @t6442)) % 1.52/1.80 (define @t6446 () (@list @t2 @t1 @t3090 @t3092)) % 1.52/1.80 (define @t6447 () (or @t6440 @t6439)) % 1.52/1.80 (define @t6448 () (or @t445 @t6447)) % 1.52/1.80 (define @t6449 () (forall @t6446 @t6448)) % 1.52/1.80 (define @t6450 () (@list @t3090 @t3092)) % 1.52/1.80 (define @t6451 () (forall @t6450 @t6448)) % 1.52/1.80 (define @t6452 () (forall @t6450 @t6447)) % 1.52/1.80 (define @t6453 () (or @t445 @t6452)) % 1.52/1.80 (define @t6454 () (= @t2877 @t3124)) % 1.52/1.80 (define @t6455 () (forall @t9 (or @t2125 @t2990 @t6454))) % 1.52/1.80 (define @t6456 () (not @t6455)) % 1.52/1.80 (define @t6457 () (forall @t378 (or @t6456 (= @t2899 (tptp.dsetconstr @t1 @t368))))) % 1.52/1.80 (define @t6458 () (lambda @t9 @t3124)) % 1.52/1.80 (define @t6459 () (tptp.dsetconstr @t1 @t6458)) % 1.52/1.80 (define @t6460 () (= @t6132 @t6459)) % 1.52/1.80 (define @t6461 () (or @t6456 @t6460)) % 1.52/1.80 (define @t6462 () (or @t6456 @t412)) % 1.52/1.80 (define @t6463 () (or @t197 @t2990 @t6454)) % 1.52/1.80 (define @t6464 () (or @t2990 @t6454)) % 1.52/1.80 (define @t6465 () (not (= @t4 @t4))) % 1.52/1.80 (define @t6466 () (or @t2990 @t6465 @t6454)) % 1.52/1.80 (define @t6467 () (= @t2877 @t3102)) % 1.52/1.80 (define @t6468 () (or @t282 @t2169 @t282 @t6467)) % 1.52/1.80 (define @t6469 () (or @t2169 @t282 @t6467)) % 1.52/1.80 (define @t6470 () (or @t4065 @t282 @t374)) % 1.52/1.80 (define @t6471 () (or @t282 @t374)) % 1.52/1.80 (define @t6472 () (=> tptp.dsetconstr__Cong @t6434)) % 1.52/1.80 (define @t6473 () (or @t3103 (= @t3101 @t19))) % 1.52/1.80 (define @t6474 () (forall @t70 @t6473)) % 1.52/1.80 (define @t6475 () (not @t6474)) % 1.52/1.80 (define @t6476 () (or @t2887 (= @t3105 @t19))) % 1.52/1.80 (define @t6477 () (forall @t70 @t6476)) % 1.52/1.80 (define @t6478 () (not @t6477)) % 1.52/1.80 (define @t6479 () (or @t3111 @t3108 @t3106 @t6478 @t3104 @t6475)) % 1.52/1.80 (define @t6480 () (or @t3104 @t6475)) % 1.52/1.80 (define @t6481 () (or @t3106 @t6478)) % 1.52/1.80 (define @t6482 () (or @t3111 @t6481 @t6480 @t3108)) % 1.52/1.80 (define @t6483 () (forall @t3112 @t6482)) % 1.52/1.80 (define @t6484 () (forall (@list @t3105 @t3101) @t6482)) % 1.52/1.80 (define @t6485 () (forall (@list @t3101) @t6480)) % 1.52/1.80 (define @t6486 () (forall (@list @t3105) @t6481)) % 1.52/1.80 (define @t6487 () (or @t3111 @t6486 @t6485 @t3108)) % 1.52/1.80 (define @t6488 () (tptp.descr @t6458)) % 1.52/1.80 (define @t6489 () (tptp.descr @t5821)) % 1.52/1.80 (define @t6490 () (= @t6489 @t6488)) % 1.52/1.80 (define @t6491 () (or @t3111 @t3129 @t3125 @t6490)) % 1.52/1.80 (define @t6492 () (or @t3111 @t3129 @t3125 @t404)) % 1.52/1.80 (define @t6493 () (or @t3129 @t3125 @t404)) % 1.52/1.80 (define @t6494 () (=> @t3126 @t404)) % 1.52/1.80 (define @t6495 () (not @t3130)) % 1.52/1.80 (define @t6496 () (=> @t3130 @t6494)) % 1.52/1.80 (define @t6497 () (not @t369)) % 1.52/1.80 (define @t6498 () (or @t6497 @t3123)) % 1.52/1.80 (define @t6499 () (not @t373)) % 1.52/1.80 (define @t6500 () (or @t6499 @t129)) % 1.52/1.80 (define @t6501 () (_ @t370 @t19)) % 1.52/1.80 (define @t6502 () (not @t6501)) % 1.52/1.80 (define @t6503 () (or @t6502 @t129)) % 1.52/1.80 (define @t6504 () (forall @t70 @t6503)) % 1.52/1.80 (define @t6505 () (not @t6504)) % 1.52/1.80 (define @t6506 () (_ @t370 @t4)) % 1.52/1.80 (define @t6507 () (not @t6506)) % 1.52/1.80 (define @t6508 () (or @t6507 @t6505)) % 1.52/1.80 (define @t6509 () (forall @t9 @t6508)) % 1.52/1.80 (define @t6510 () (not @t6509)) % 1.52/1.80 (define @t6511 () (lambda @t150 @t3130)) % 1.52/1.80 (define @t6512 () (_ @t6511 @t370)) % 1.52/1.80 (define @t6513 () (=> @t6512 @t404)) % 1.52/1.80 (define @t6514 () (or @t317 @t3128)) % 1.52/1.80 (define @t6515 () (_ @t145 @t19)) % 1.52/1.80 (define @t6516 () (not @t6515)) % 1.52/1.80 (define @t6517 () (or @t6516 @t129)) % 1.52/1.80 (define @t6518 () (forall @t70 @t6517)) % 1.52/1.80 (define @t6519 () (not @t6518)) % 1.52/1.80 (define @t6520 () (_ @t145 @t4)) % 1.52/1.80 (define @t6521 () (not @t6520)) % 1.52/1.80 (define @t6522 () (or @t6521 @t6519)) % 1.52/1.80 (define @t6523 () (forall @t9 @t6522)) % 1.52/1.80 (define @t6524 () (not @t6523)) % 1.52/1.80 (define @t6525 () (_ @t6511 @t145)) % 1.52/1.80 (define @t6526 () (=> @t6525 @t6513)) % 1.52/1.80 (define @t6527 () (or @t6058 @t3109)) % 1.52/1.80 (define @t6528 () (or @t282 @t282 @t6467)) % 1.52/1.80 (define @t6529 () (or @t282 @t6467)) % 1.52/1.80 (define @t6530 () (forall @t9 @t6529)) % 1.52/1.80 (define @t6531 () (forall @t70 @t6530)) % 1.52/1.80 (define @t6532 () (forall @t6066 @t6529)) % 1.52/1.80 (define @t6533 () (=> @t376 @t6526)) % 1.52/1.80 (define @t6534 () (forall @t378 @t6533)) % 1.52/1.80 (define @t6535 () (and @t144 @t3127)) % 1.52/1.80 (define @t6536 () (forall @t9 (not @t6535))) % 1.52/1.80 (define @t6537 () (not @t6536)) % 1.52/1.80 (define @t6538 () (=> tptp.descr__Cong @t6472)) % 1.52/1.80 (define @t6539 () (or @t2887 (= @t3119 @t19))) % 1.52/1.80 (define @t6540 () (forall @t70 @t6539)) % 1.52/1.80 (define @t6541 () (not @t6540)) % 1.52/1.80 (define @t6542 () (or @t3120 @t6541 @t3118 @t3117 @t3116)) % 1.52/1.80 (define @t6543 () (or @t3118 @t3117 @t3116)) % 1.52/1.80 (define @t6544 () (or @t3120 @t6541)) % 1.52/1.80 (define @t6545 () (or @t6544 @t6543)) % 1.52/1.80 (define @t6546 () (forall @t3121 @t6545)) % 1.52/1.80 (define @t6547 () (forall (@list @t3119 @t3115 @t3114) @t6545)) % 1.52/1.80 (define @t6548 () (forall (@list @t3115 @t3114) @t6543)) % 1.52/1.80 (define @t6549 () (forall (@list @t3119) @t6544)) % 1.52/1.80 (define @t6550 () (or @t6549 @t6548)) % 1.52/1.80 (define @t6551 () (=> @t6525 @t346)) % 1.52/1.80 (define @t6552 () (forall @t150 @t6551)) % 1.52/1.80 (define @t6553 () (=> tptp.exuEu @t6538)) % 1.52/1.80 (define @t6554 () (=> tptp.omega__Cong @t6553)) % 1.52/1.80 (define @t6555 () (tptp.setunion @t1)) % 1.52/1.80 (define @t6556 () (or @t6392 (= @t6555 @t6555))) % 1.52/1.80 (define @t6557 () (= @t2914 @t6555)) % 1.52/1.80 (define @t6558 () (or @t445 @t445 @t6557)) % 1.52/1.80 (define @t6559 () (or @t445 @t6557)) % 1.52/1.80 (define @t6560 () (forall @t64 @t6559)) % 1.52/1.80 (define @t6561 () (forall @t41 @t6560)) % 1.52/1.80 (define @t6562 () (forall @t6406 @t6559)) % 1.52/1.80 (define @t6563 () (or @t445 @t398)) % 1.52/1.80 (define @t6564 () (=> tptp.setunion__Cong @t6554)) % 1.52/1.80 (define @t6565 () (or @t6392 (= @t3055 @t3055))) % 1.52/1.80 (define @t6566 () (= @t2181 @t3055)) % 1.52/1.80 (define @t6567 () (or @t445 @t445 @t6566)) % 1.52/1.80 (define @t6568 () (or @t445 @t6566)) % 1.52/1.80 (define @t6569 () (forall @t64 @t6568)) % 1.52/1.80 (define @t6570 () (forall @t41 @t6569)) % 1.52/1.80 (define @t6571 () (forall @t6406 @t6568)) % 1.52/1.80 (define @t6572 () (or @t445 @t394)) % 1.52/1.80 (define @t6573 () (=> tptp.powerset__Cong @t6564)) % 1.52/1.80 (define @t6574 () (@var "BOUND_VARIABLE_11363" $$unsorted)) % 1.52/1.80 (define @t6575 () (@list @t19 @t6574)) % 1.52/1.80 (define @t6576 () (tptp.setadjoin @t19 @t6574)) % 1.52/1.80 (define @t6577 () (or @t6058 (= @t6576 @t6576))) % 1.52/1.80 (define @t6578 () (= @t6576 (tptp.setadjoin @t4 @t6574))) % 1.52/1.80 (define @t6579 () (or @t282 @t282 @t6578)) % 1.52/1.80 (define @t6580 () (or @t282 @t6578)) % 1.52/1.80 (define @t6581 () (forall @t9 @t6580)) % 1.52/1.80 (define @t6582 () (forall @t6575 @t6581)) % 1.52/1.80 (define @t6583 () (forall (@list @t19 @t6574 @t4) @t6580)) % 1.52/1.80 (define @t6584 () (forall (@list @t4 @t19 @t6574) @t6580)) % 1.52/1.80 (define @t6585 () (@list @t6574)) % 1.52/1.80 (define @t6586 () (forall @t6585 @t6580)) % 1.52/1.80 (define @t6587 () (forall @t6585 @t6578)) % 1.52/1.80 (define @t6588 () (or @t282 @t6587)) % 1.52/1.80 (define @t6589 () (tptp.setadjoin @t4 @t383)) % 1.52/1.80 (define @t6590 () (tptp.setadjoin @t19 @t383)) % 1.52/1.80 (define @t6591 () (= @t6590 @t6589)) % 1.52/1.80 (define @t6592 () (forall @t757 @t6591)) % 1.52/1.80 (define @t6593 () (or @t6048 (= @t6589 @t6590))) % 1.52/1.80 (define @t6594 () (tptp.setadjoin @t4 @t289)) % 1.52/1.80 (define @t6595 () (= @t6594 @t6590)) % 1.52/1.80 (define @t6596 () (or @t6050 @t6050 @t6595)) % 1.52/1.80 (define @t6597 () (or @t6050 @t6595)) % 1.52/1.80 (define @t6598 () (forall @t1067 @t6597)) % 1.52/1.80 (define @t6599 () (forall @t757 @t6598)) % 1.52/1.80 (define @t6600 () (forall (@list @t383 @t289) @t6597)) % 1.52/1.80 (define @t6601 () (or @t6050 @t386)) % 1.52/1.80 (define @t6602 () (=> tptp.setadjoin__Cong @t6573)) % 1.52/1.80 (define @t6603 () (=> tptp.emptyset__Cong @t6602)) % 1.52/1.80 (define @t6604 () (= @t6525 @t6512)) % 1.52/1.80 (define @t6605 () (=> @t376 @t6604)) % 1.52/1.80 (define @t6606 () (forall @t378 @t6605)) % 1.52/1.80 (define @t6607 () (=> tptp.exu__Cong @t6603)) % 1.52/1.80 (define @t6608 () (=> tptp.exuE3u @t6607)) % 1.52/1.80 (define @t6609 () (@var "BOUND_VARIABLE_11237" $$unsorted)) % 1.52/1.80 (define @t6610 () (@list @t1 @t6609)) % 1.52/1.80 (define @t6611 () (tptp.in @t6609 @t1)) % 1.52/1.80 (define @t6612 () (or @t6392 (= @t6611 @t6611))) % 1.52/1.80 (define @t6613 () (= (tptp.in @t6609 @t2) @t6611)) % 1.52/1.80 (define @t6614 () (or @t445 @t445 @t6613)) % 1.52/1.80 (define @t6615 () (or @t445 @t6613)) % 1.52/1.80 (define @t6616 () (forall @t64 @t6615)) % 1.52/1.80 (define @t6617 () (forall @t6610 @t6616)) % 1.52/1.80 (define @t6618 () (forall (@list @t1 @t6609 @t2) @t6615)) % 1.52/1.80 (define @t6619 () (forall (@list @t2 @t1 @t6609) @t6615)) % 1.52/1.80 (define @t6620 () (@list @t6609)) % 1.52/1.80 (define @t6621 () (forall @t6620 @t6615)) % 1.52/1.80 (define @t6622 () (forall @t6620 @t6613)) % 1.52/1.80 (define @t6623 () (or @t445 @t6622)) % 1.52/1.80 (define @t6624 () (= @t2888 @t2168)) % 1.52/1.80 (define @t6625 () (forall @t70 @t6624)) % 1.52/1.80 (define @t6626 () (or @t6058 @t6624)) % 1.52/1.80 (define @t6627 () (= @t2124 @t2168)) % 1.52/1.80 (define @t6628 () (or @t282 @t282 @t6627)) % 1.52/1.80 (define @t6629 () (or @t282 @t6627)) % 1.52/1.80 (define @t6630 () (forall @t9 @t6629)) % 1.52/1.80 (define @t6631 () (forall @t70 @t6630)) % 1.52/1.80 (define @t6632 () (forall @t6066 @t6629)) % 1.52/1.80 (define @t6633 () (or @t282 @t360)) % 1.52/1.80 (define @t6634 () (=> tptp.in__Cong @t6608)) % 1.52/1.80 (define @t6635 () (@var "BOUND_VARIABLE_11200" $$unsorted)) % 1.52/1.80 (define @t6636 () (@list @t1 @t6635)) % 1.52/1.80 (define @t6637 () (tptp.in @t6635 @t1)) % 1.52/1.80 (define @t6638 () (not @t6637)) % 1.52/1.80 (define @t6639 () (or @t6638 @t6637)) % 1.52/1.80 (define @t6640 () (or @t6392 @t6638 @t6637)) % 1.52/1.80 (define @t6641 () (not (tptp.in @t6635 @t2))) % 1.52/1.80 (define @t6642 () (or @t445 @t445 @t6641 @t6637)) % 1.52/1.80 (define @t6643 () (or @t445 @t6641 @t6637)) % 1.52/1.80 (define @t6644 () (forall @t64 @t6643)) % 1.52/1.80 (define @t6645 () (forall @t6636 @t6644)) % 1.52/1.80 (define @t6646 () (forall (@list @t1 @t6635 @t2) @t6643)) % 1.52/1.80 (define @t6647 () (@list @t2 @t1 @t6635)) % 1.52/1.80 (define @t6648 () (or @t6641 @t6637)) % 1.52/1.80 (define @t6649 () (or @t445 @t6648)) % 1.52/1.80 (define @t6650 () (forall @t6647 @t6649)) % 1.52/1.80 (define @t6651 () (@list @t6635)) % 1.52/1.80 (define @t6652 () (forall @t6651 @t6649)) % 1.52/1.80 (define @t6653 () (forall @t6651 @t6648)) % 1.52/1.80 (define @t6654 () (or @t445 @t6653)) % 1.52/1.80 (define @t6655 () (or @t2889 @t2168)) % 1.52/1.80 (define @t6656 () (forall @t70 @t6655)) % 1.52/1.80 (define @t6657 () (or @t6058 @t2889 @t2168)) % 1.52/1.80 (define @t6658 () (or @t282 @t282 @t2125 @t2168)) % 1.52/1.80 (define @t6659 () (or @t282 @t2125 @t2168)) % 1.52/1.80 (define @t6660 () (forall @t9 @t6659)) % 1.52/1.80 (define @t6661 () (forall @t70 @t6660)) % 1.52/1.80 (define @t6662 () (forall @t6066 @t6659)) % 1.52/1.80 (define @t6663 () (or @t282 @t197 @t354)) % 1.52/1.80 (define @t6664 () (=> tptp.inCongP @t6634)) % 1.52/1.80 (define @t6665 () (= @t3133 @t19)) % 1.52/1.80 (define @t6666 () (forall @t70 (= @t6665 @t2886))) % 1.52/1.80 (define @t6667 () (not @t6666)) % 1.52/1.80 (define @t6668 () (or @t6667 @t3130)) % 1.52/1.80 (define @t6669 () (forall @t3134 @t6668)) % 1.52/1.80 (define @t6670 () (@list @t3133)) % 1.52/1.80 (define @t6671 () (forall @t6670 @t6668)) % 1.52/1.80 (define @t6672 () (forall @t6670 @t6667)) % 1.52/1.80 (define @t6673 () (or @t6672 @t3130)) % 1.52/1.80 (define @t6674 () (= @t153 @t129)) % 1.52/1.80 (define @t6675 () (=> @t265 @t6525)) % 1.52/1.80 (define @t6676 () (forall @t150 @t6675)) % 1.52/1.80 (define @t6677 () (=> tptp.exuI2 @t6664)) % 1.52/1.80 (define @t6678 () (@list @t3138)) % 1.52/1.80 (define @t6679 () (forall @t6678 @t3140)) % 1.52/1.80 (define @t6680 () (forall @t6678 @t3139)) % 1.52/1.80 (define @t6681 () (or @t6680 @t3137 @t3130)) % 1.52/1.80 (define @t6682 () (or @t3248 @t3137 @t3130)) % 1.52/1.80 (define @t6683 () (=> @t3136 @t3130)) % 1.52/1.80 (define @t6684 () (=> @t346 @t6525)) % 1.52/1.80 (define @t6685 () (forall @t9 @t317)) % 1.52/1.80 (define @t6686 () (not @t6685)) % 1.52/1.80 (define @t6687 () (=> @t186 @t6684)) % 1.52/1.80 (define @t6688 () (forall @t150 @t6687)) % 1.52/1.80 (define @t6689 () (=> tptp.exuI3 @t6677)) % 1.52/1.80 (define @t6690 () (=> @t169 @t6525)) % 1.52/1.80 (define @t6691 () (forall @t150 @t6690)) % 1.52/1.80 (define @t6692 () (=> tptp.exuI1 @t6689)) % 1.52/1.80 (define @t6693 () (forall @t9 (or @t2125 @t2877))) % 1.52/1.80 (define @t6694 () (not @t6693)) % 1.52/1.80 (define @t6695 () (or @t197 @t144)) % 1.52/1.80 (define @t6696 () (forall @t9 (not @t318))) % 1.52/1.80 (define @t6697 () (not @t6696)) % 1.52/1.80 (define @t6698 () (=> tptp.notdallE @t6692)) % 1.52/1.80 (define @t6699 () (=> tptp.notdexE @t6698)) % 1.52/1.80 (define @t6700 () (or @t5346 @t3144)) % 1.52/1.80 (define @t6701 () (tptp.prop2set @t173)) % 1.52/1.80 (define @t6702 () (tptp.set2prop @t6701)) % 1.52/1.80 (define @t6703 () (or @t1063 @t1063 @t6702)) % 1.52/1.80 (define @t6704 () (or @t1063 @t6702)) % 1.52/1.80 (define @t6705 () (or @t1063 @t339)) % 1.52/1.80 (define @t6706 () (=> tptp.prop2set2propI @t6699)) % 1.52/1.80 (define @t6707 () (or @t5346 @t3146)) % 1.52/1.80 (define @t6708 () (tptp.in tptp.emptyset @t6701)) % 1.52/1.80 (define @t6709 () (or @t1063 @t1063 @t6708)) % 1.52/1.80 (define @t6710 () (or @t1063 @t6708)) % 1.52/1.80 (define @t6711 () (or @t1063 @t336)) % 1.52/1.80 (define @t6712 () (=> tptp.prop2setI @t6706)) % 1.52/1.80 (define @t6713 () (=> tptp.quantDeMorgan4 @t6712)) % 1.52/1.80 (define @t6714 () (=> tptp.quantDeMorgan3 @t6713)) % 1.52/1.80 (define @t6715 () (=> tptp.quantDeMorgan2 @t6714)) % 1.52/1.80 (define @t6716 () (=> tptp.quantDeMorgan1 @t6715)) % 1.52/1.80 (define @t6717 () (or @t16 @t144)) % 1.52/1.80 (define @t6718 () (=> tptp.vacuousDall @t6716)) % 1.52/1.80 (define @t6719 () (or @t3154 @t3153)) % 1.52/1.80 (define @t6720 () (or @t6719 @t3155)) % 1.52/1.80 (define @t6721 () (forall @t3157 @t6720)) % 1.52/1.80 (define @t6722 () (@list @t3152)) % 1.52/1.80 (define @t6723 () (forall @t6722 @t6720)) % 1.52/1.80 (define @t6724 () (forall @t6722 @t6719)) % 1.52/1.80 (define @t6725 () (or @t6724 @t3155)) % 1.52/1.80 (define @t6726 () (= tptp.emptyset @t6132)) % 1.52/1.80 (define @t6727 () (not @t6726)) % 1.52/1.80 (define @t6728 () (or @t2893 @t6727)) % 1.52/1.80 (define @t6729 () (= tptp.emptyset @t306)) % 1.52/1.80 (define @t6730 () (not @t6729)) % 1.52/1.80 (define @t6731 () (or @t2893 @t6730)) % 1.52/1.80 (define @t6732 () (=> tptp.emptyE1 @t6718)) % 1.52/1.80 (define @t6733 () (=> tptp.upairsetIR @t6732)) % 1.52/1.80 (define @t6734 () (=> tptp.upairsetIL @t6733)) % 1.52/1.80 (define @t6735 () (=> tptp.upairsetE @t6734)) % 1.52/1.80 (define @t6736 () (not @t276)) % 1.52/1.80 (define @t6737 () (or @t6736 @t280)) % 1.52/1.80 (define @t6738 () (=> tptp.singletonsswitch @t6735)) % 1.52/1.80 (define @t6739 () (or @t6058 @t3170)) % 1.52/1.80 (define @t6740 () (or @t282 @t282 @t3166)) % 1.52/1.80 (define @t6741 () (or @t282 @t3166)) % 1.52/1.80 (define @t6742 () (forall @t9 @t6741)) % 1.52/1.80 (define @t6743 () (forall @t70 @t6742)) % 1.52/1.80 (define @t6744 () (forall @t6066 @t6741)) % 1.52/1.80 (define @t6745 () (or @t282 @t276)) % 1.52/1.80 (define @t6746 () (=> tptp.eqinunit @t6738)) % 1.52/1.80 (define @t6747 () (or @t129 @t281)) % 1.52/1.80 (define @t6748 () (=> tptp.notinsingleton @t6746)) % 1.52/1.80 (define @t6749 () (or @t6736 @t129)) % 1.52/1.80 (define @t6750 () (=> tptp.uniqinunit @t6748)) % 1.52/1.80 (define @t6751 () (not @t196)) % 1.52/1.80 (define @t6752 () (not @t198)) % 1.52/1.80 (define @t6753 () (_ @t2027 @t2)) % 1.52/1.80 (define @t6754 () (=> @t6753 @t270)) % 1.52/1.80 (define @t6755 () (forall @t64 @t6754)) % 1.52/1.80 (define @t6756 () (=> tptp.nonemptyImpWitness @t6750)) % 1.52/1.80 (define @t6757 () (or @t2887 (= @t3181 @t19))) % 1.52/1.80 (define @t6758 () (forall @t70 @t6757)) % 1.52/1.80 (define @t6759 () (not @t6758)) % 1.52/1.80 (define @t6760 () (or @t3185 @t3182 @t6759)) % 1.52/1.80 (define @t6761 () (or @t3182 @t6759)) % 1.52/1.80 (define @t6762 () (or @t6761 @t3185)) % 1.52/1.80 (define @t6763 () (forall @t3186 @t6762)) % 1.52/1.80 (define @t6764 () (@list @t3181)) % 1.52/1.80 (define @t6765 () (forall @t6764 @t6762)) % 1.52/1.80 (define @t6766 () (forall @t6764 @t6761)) % 1.52/1.80 (define @t6767 () (or @t6766 @t3185)) % 1.52/1.80 (define @t6768 () (=> @t6525 @t265)) % 1.52/1.80 (define @t6769 () (forall @t150 @t6768)) % 1.52/1.80 (define @t6770 () (=> tptp.exuE2 @t6756)) % 1.52/1.80 (define @t6771 () (or @t197 @t260)) % 1.52/1.80 (define @t6772 () (=> tptp.subPowSU @t6770)) % 1.52/1.80 (define @t6773 () (or @t6142 @t3196)) % 1.52/1.80 (define @t6774 () (and @t3753 @t3196)) % 1.52/1.80 (define @t6775 () (or @t6774 false)) % 1.52/1.80 (define @t6776 () (and @t1063 @t3196)) % 1.52/1.80 (define @t6777 () (or @t173 @t6776 @t173)) % 1.52/1.80 (define @t6778 () (or @t6776 @t173)) % 1.52/1.80 (define @t6779 () (or @t173 @t3195)) % 1.52/1.80 (define @t6780 () (not @t39)) % 1.52/1.80 (define @t6781 () (or @t437 @t6780)) % 1.52/1.80 (define @t6782 () (forall @t41 @t6781)) % 1.52/1.80 (define @t6783 () (or @t173 @t6782)) % 1.52/1.80 (define @t6784 () (or @t173 @t6781)) % 1.52/1.80 (define @t6785 () (or @t437 @t6780 @t173)) % 1.52/1.80 (define @t6786 () (=> tptp.setunionE @t6772)) % 1.52/1.80 (define @t6787 () (or @t437 @t6780 @t44)) % 1.52/1.80 (define @t6788 () (=> tptp.setunionI @t6786)) % 1.52/1.80 (define @t6789 () (or @t6371 @t437 @t7)) % 1.52/1.80 (define @t6790 () (or @t437 @t7)) % 1.52/1.80 (define @t6791 () (=> tptp.powersetE @t6788)) % 1.52/1.80 (define @t6792 () (=> tptp.emptyInPowerset @t6791)) % 1.52/1.80 (define @t6793 () (=> tptp.emptyinPowerset @t6792)) % 1.52/1.80 (define @t6794 () (or @t3208 @t35)) % 1.52/1.80 (define @t6795 () (=> tptp.powersetI @t6793)) % 1.52/1.80 (define @t6796 () (_ @t155 @t3212)) % 1.52/1.80 (define @t6797 () (= @t2 @t6796)) % 1.52/1.80 (define @t6798 () (=> tptp.setoftrueEq @t6795)) % 1.52/1.80 (define @t6799 () (not @t26)) % 1.52/1.80 (define @t6800 () (or @t6799 @t129 @t21)) % 1.52/1.80 (define @t6801 () (or @t129 @t21)) % 1.52/1.80 (define @t6802 () (=> tptp.setadjoinOr @t6798)) % 1.52/1.80 (define @t6803 () (or @t6799 @t129 @t2888)) % 1.52/1.80 (define @t6804 () (and @t2888 @t3753)) % 1.52/1.80 (define @t6805 () (and @t129 @t3753)) % 1.52/1.80 (define @t6806 () (or @t6805 @t6804)) % 1.52/1.80 (define @t6807 () (or @t6805 @t6804 false)) % 1.52/1.80 (define @t6808 () (and @t2888 @t1063)) % 1.52/1.80 (define @t6809 () (and @t129 @t1063)) % 1.52/1.80 (define @t6810 () (or @t173 @t6809 @t6808 @t173)) % 1.52/1.80 (define @t6811 () (or @t6809 @t6808 @t173)) % 1.61/1.80 (define @t6812 () (and @t21 @t1063)) % 1.61/1.80 (define @t6813 () (or @t6809 @t6812 @t173)) % 1.61/1.80 (define @t6814 () (=> @t129 @t173)) % 1.61/1.80 (define @t6815 () (=> tptp.setadjoinE @t6802)) % 1.61/1.80 (define @t6816 () (or @t3636 @t26)) % 1.61/1.80 (define @t6817 () (=> tptp.setadjoinIR @t6815)) % 1.61/1.80 (define @t6818 () (=> tptp.emptyinunitempty @t6817)) % 1.61/1.80 (define @t6819 () (=> tptp.setadjoinIL @t6818)) % 1.61/1.80 (define @t6820 () (not @t381)) % 1.61/1.80 (define @t6821 () (or @t3230 @t6820)) % 1.61/1.80 (define @t6822 () (not (tptp.in @t3229 @t2))) % 1.61/1.80 (define @t6823 () (or @t6751 @t6822 @t6751)) % 1.61/1.80 (define @t6824 () (or @t6822 @t6751)) % 1.61/1.80 (define @t6825 () (forall @t64 @t6824)) % 1.61/1.80 (define @t6826 () (forall @t3231 @t6825)) % 1.61/1.80 (define @t6827 () (forall (@list @t3229 @t2) @t6824)) % 1.61/1.80 (define @t6828 () (forall (@list @t2 @t3229) @t6824)) % 1.61/1.80 (define @t6829 () (forall @t3231 @t6824)) % 1.61/1.80 (define @t6830 () (forall @t3231 @t6822)) % 1.61/1.80 (define @t6831 () (or @t6830 @t6751)) % 1.61/1.80 (define @t6832 () (not @t3178)) % 1.61/1.80 (define @t6833 () (=> @t89 @t6753)) % 1.61/1.80 (define @t6834 () (forall @t64 @t6833)) % 1.61/1.80 (define @t6835 () (=> tptp.nonemptyI1 @t6819)) % 1.61/1.80 (define @t6836 () (tptp.dsetconstr @t2 @t6114)) % 1.61/1.80 (define @t6837 () (= tptp.emptyset @t6836)) % 1.61/1.80 (define @t6838 () (not @t6837)) % 1.61/1.80 (define @t6839 () (or @t2125 @t2878 @t6838)) % 1.61/1.80 (define @t6840 () (= tptp.emptyset @t156)) % 1.61/1.80 (define @t6841 () (not @t6840)) % 1.61/1.80 (define @t6842 () (or @t197 @t317 @t6841)) % 1.61/1.80 (define @t6843 () (=> @t144 @t6841)) % 1.61/1.80 (define @t6844 () (not (= @t156 tptp.emptyset))) % 1.61/1.80 (define @t6845 () (_ @t2027 @t156)) % 1.61/1.80 (define @t6846 () (=> @t144 @t6845)) % 1.61/1.80 (define @t6847 () (=> @t7 @t6846)) % 1.61/1.80 (define @t6848 () (forall @t159 @t6847)) % 1.61/1.80 (define @t6849 () (=> tptp.nonemptyI @t6835)) % 1.61/1.80 (define @t6850 () (=> @t6753 @t89)) % 1.61/1.80 (define @t6851 () (forall @t64 @t6850)) % 1.61/1.80 (define @t6852 () (=> tptp.nonemptyE1 @t6849)) % 1.61/1.80 (define @t6853 () (tptp.in @t4 @t6836)) % 1.61/1.80 (define @t6854 () (= @t2877 @t6853)) % 1.61/1.80 (define @t6855 () (or @t2125 @t6854)) % 1.61/1.80 (define @t6856 () (= @t144 @t157)) % 1.61/1.80 (define @t6857 () (or @t197 @t6856)) % 1.61/1.80 (define @t6858 () (=> tptp.setbeta @t6852)) % 1.61/1.80 (define @t6859 () (=> tptp.noeltsimpempty @t6858)) % 1.61/1.80 (define @t6860 () (=> tptp.emptyI @t6859)) % 1.61/1.80 (define @t6861 () (=> @t3207 @t3)) % 1.61/1.80 (define @t6862 () (=> tptp.setext @t6860)) % 1.61/1.80 (define @t6863 () (or @t2887 (= @t3246 @t19))) % 1.61/1.80 (define @t6864 () (forall @t70 @t6863)) % 1.61/1.80 (define @t6865 () (not @t6864)) % 1.61/1.80 (define @t6866 () (or @t3249 @t3247 @t6865)) % 1.61/1.80 (define @t6867 () (or @t3247 @t6865)) % 1.61/1.80 (define @t6868 () (or @t6867 @t3249)) % 1.61/1.80 (define @t6869 () (forall @t3250 @t6868)) % 1.61/1.80 (define @t6870 () (@list @t3246)) % 1.61/1.80 (define @t6871 () (forall @t6870 @t6868)) % 1.61/1.80 (define @t6872 () (forall @t6870 @t6867)) % 1.61/1.80 (define @t6873 () (or @t6872 @t3249)) % 1.61/1.80 (define @t6874 () (=> @t6525 @t186)) % 1.61/1.80 (define @t6875 () (forall @t150 @t6874)) % 1.61/1.80 (define @t6876 () (=> tptp.exuE3e @t6862)) % 1.61/1.80 (define @t6877 () (=> tptp.notinemptyset @t6876)) % 1.61/1.80 (define @t6878 () (=> tptp.emptysetimpfalse @t6877)) % 1.61/1.80 (define @t6879 () (or @t173 @t173)) % 1.61/1.80 (define @t6880 () (=> tptp.emptysetE @t6878)) % 1.61/1.80 (define @t6881 () (or @t3257 false)) % 1.61/1.80 (define @t6882 () (tptp.in @t4 @t6701)) % 1.61/1.80 (define @t6883 () (not @t6882)) % 1.61/1.80 (define @t6884 () (or @t173 @t6883 @t173)) % 1.61/1.80 (define @t6885 () (or @t6883 @t173)) % 1.61/1.80 (define @t6886 () (forall @t179 @t6885)) % 1.61/1.80 (define @t6887 () (forall @t9 @t6886)) % 1.61/1.80 (define @t6888 () (forall @t4679 @t6885)) % 1.61/1.80 (define @t6889 () (not @t175)) % 1.61/1.80 (define @t6890 () (or @t6889 @t173)) % 1.61/1.80 (define @t6891 () (=> tptp.prop2setE @t6880)) % 1.61/1.80 (define @t6892 () (=> @t6525 @t169)) % 1.61/1.80 (define @t6893 () (forall @t150 @t6892)) % 1.61/1.80 (define @t6894 () (=> tptp.exuE1 @t6891)) % 1.61/1.80 (define @t6895 () (not @t6853)) % 1.61/1.80 (define @t6896 () (or @t6895 @t2877)) % 1.61/1.80 (define @t6897 () (not @t157)) % 1.61/1.80 (define @t6898 () (or @t6897 @t144)) % 1.61/1.80 (define @t6899 () (=> tptp.dsetconstrER @t6894)) % 1.61/1.80 (define @t6900 () (or @t6895 @t2124)) % 1.61/1.80 (define @t6901 () (or @t6897 @t7)) % 1.61/1.80 (define @t6902 () (=> tptp.dsetconstrEL @t6899)) % 1.61/1.80 (define @t6903 () (or @t2125 @t2878 @t6853)) % 1.61/1.80 (define @t6904 () (or @t197 @t317 @t157)) % 1.61/1.80 (define @t6905 () (=> tptp.dsetconstrI @t6902)) % 1.61/1.80 (define @t6906 () (or @t2887 (= @t3267 @t19))) % 1.61/1.80 (define @t6907 () (forall @t70 @t6906)) % 1.61/1.80 (define @t6908 () (not @t6907)) % 1.61/1.80 (define @t6909 () (or @t3269 @t3268 @t6908)) % 1.61/1.80 (define @t6910 () (or @t3268 @t6908)) % 1.61/1.80 (define @t6911 () (or @t6910 @t3269)) % 1.61/1.80 (define @t6912 () (forall @t3270 @t6911)) % 1.61/1.80 (define @t6913 () (@list @t3267)) % 1.61/1.80 (define @t6914 () (forall @t6913 @t6911)) % 1.61/1.80 (define @t6915 () (forall @t6913 @t6910)) % 1.61/1.80 (define @t6916 () (or @t6915 @t3269)) % 1.61/1.80 (define @t6917 () (_ @t143 @t6489)) % 1.61/1.80 (define @t6918 () (or @t3129 @t6917)) % 1.61/1.80 (define @t6919 () (or @t3129 @t147)) % 1.61/1.80 (define @t6920 () (=> @t6525 @t147)) % 1.61/1.80 (define @t6921 () (forall @t150 @t6920)) % 1.61/1.80 (define @t6922 () (=> tptp.descrp @t6905)) % 1.61/1.80 (define @t6923 () (and @t3320 @t3313 @t3309 @t3297)) % 1.61/1.80 (define @t6924 () (forall @t41 (not @t6923))) % 1.61/1.80 (define @t6925 () (not @t6924)) % 1.61/1.80 (define @t6926 () (@list @t3292)) % 1.61/1.80 (define @t6927 () (forall @t6926 @t3296)) % 1.61/1.80 (define @t6928 () (forall @t6926 @t3293)) % 1.61/1.80 (define @t6929 () (or @t3295 @t6928 @t3291)) % 1.61/1.80 (define @t6930 () (forall @t9 @t3288)) % 1.61/1.80 (define @t6931 () (or @t3295 @t6930 @t3291)) % 1.61/1.80 (define @t6932 () (not @t6930)) % 1.61/1.80 (define @t6933 () (and @t3294 @t6932)) % 1.61/1.80 (define @t6934 () (not @t109)) % 1.61/1.80 (define @t6935 () (not @t110)) % 1.61/1.80 (define @t6936 () (or @t6935 @t6934 @t3286 @t3282)) % 1.61/1.80 (define @t6937 () (and @t110 @t109 @t3285 @t3281)) % 1.61/1.80 (define @t6938 () (forall @t112 (not @t6937))) % 1.61/1.80 (define @t6939 () (not @t6938)) % 1.61/1.80 (define @t6940 () (or @t3275 @t3274)) % 1.61/1.80 (define @t6941 () (or @t3278 @t6940 @t3276)) % 1.61/1.80 (define @t6942 () (forall @t3280 @t6941)) % 1.61/1.80 (define @t6943 () (@list @t3273)) % 1.61/1.80 (define @t6944 () (forall @t6943 @t6941)) % 1.61/1.80 (define @t6945 () (forall @t6943 @t6940)) % 1.61/1.80 (define @t6946 () (or @t3278 @t6945 @t3276)) % 1.61/1.80 (define @t6947 () (tptp.in @t19 @t93)) % 1.61/1.80 (define @t6948 () (forall @t70 (or (not @t6947) @t3284))) % 1.61/1.80 (define @t6949 () (not @t100)) % 1.61/1.80 (define @t6950 () (or @t6949 @t6948 @t94)) % 1.61/1.80 (define @t6951 () (or @t6948 @t94)) % 1.61/1.80 (define @t6952 () (not @t97)) % 1.61/1.80 (define @t6953 () (or @t6952 @t96)) % 1.61/1.80 (define @t6954 () (not @t105)) % 1.61/1.80 (define @t6955 () (not @t96)) % 1.61/1.80 (define @t6956 () (or @t6955 @t6954)) % 1.61/1.80 (define @t6957 () (forall @t70 (not @t106))) % 1.61/1.80 (define @t6958 () (not @t6957)) % 1.61/1.80 (define @t6959 () (forall @t9 @t6934)) % 1.61/1.80 (define @t6960 () (not @t6959)) % 1.61/1.80 (define @t6961 () (or @t6934 @t7)) % 1.61/1.80 (define @t6962 () (or @t3301 @t3300)) % 1.61/1.80 (define @t6963 () (or @t3304 @t3303)) % 1.61/1.80 (define @t6964 () (or @t3306 @t3290 @t6963 @t6962)) % 1.61/1.80 (define @t6965 () (forall @t3308 @t6964)) % 1.61/1.80 (define @t6966 () (forall (@list @t3302 @t3299) @t6964)) % 1.61/1.80 (define @t6967 () (forall (@list @t3299) @t6962)) % 1.61/1.80 (define @t6968 () (forall (@list @t3302) @t6963)) % 1.61/1.80 (define @t6969 () (or @t3306 @t3290 @t6968 @t6967)) % 1.61/1.80 (define @t6970 () (tptp.in @t4 @t95)) % 1.61/1.80 (define @t6971 () (forall @t9 (or (not @t6970) @t3287))) % 1.61/1.80 (define @t6972 () (forall @t9 (or @t3288 @t6970))) % 1.61/1.80 (define @t6973 () (not @t124)) % 1.61/1.80 (define @t6974 () (or @t6973 @t6935 @t6972 @t6971)) % 1.61/1.80 (define @t6975 () (or @t6972 @t6971)) % 1.61/1.80 (define @t6976 () (not @t120)) % 1.61/1.80 (define @t6977 () (or @t6976 @t109)) % 1.61/1.80 (define @t6978 () (or @t6934 @t120)) % 1.61/1.80 (define @t6979 () (or @t197 @t3636 @t3312 @t129)) % 1.61/1.80 (define @t6980 () (=> @t3311 @t129)) % 1.61/1.80 (define @t6981 () (or @t6973 @t130)) % 1.61/1.80 (define @t6982 () (or @t3317 @t3316)) % 1.61/1.80 (define @t6983 () (or @t3306 @t6982)) % 1.61/1.80 (define @t6984 () (forall @t3319 @t6983)) % 1.61/1.80 (define @t6985 () (@list @t3315)) % 1.61/1.80 (define @t6986 () (forall @t6985 @t6983)) % 1.61/1.80 (define @t6987 () (forall @t6985 @t6982)) % 1.61/1.80 (define @t6988 () (or @t3306 @t6987)) % 1.61/1.80 (define @t6989 () (or @t6973 @t3294)) % 1.61/1.80 (define @t6990 () (=> tptp.wellorderingAx @t6922)) % 1.61/1.80 (define @t6991 () (@list @t3328)) % 1.61/1.80 (define @t6992 () (forall @t6991 @t3330)) % 1.61/1.80 (define @t6993 () (forall @t6991 @t3329)) % 1.61/1.80 (define @t6994 () (or @t6993 @t3327)) % 1.61/1.80 (define @t6995 () (or @t6780 @t3326)) % 1.61/1.80 (define @t6996 () (and @t39 @t3325)) % 1.61/1.80 (define @t6997 () (forall @t41 (not @t6996))) % 1.61/1.80 (define @t6998 () (not @t6997)) % 1.61/1.80 (define @t6999 () (or @t437 @t197)) % 1.61/1.80 (define @t7000 () (forall @t9 (not @t84))) % 1.61/1.80 (define @t7001 () (not @t7000)) % 1.61/1.80 (define @t7002 () (=> tptp.foundationAx @t6990)) % 1.61/1.80 (define @t7003 () (= @t6 @t3334)) % 1.61/1.80 (define @t7004 () (not @t68)) % 1.61/1.80 (define @t7005 () (or @t3636 @t7004)) % 1.61/1.80 (define @t7006 () (forall @t70 (not @t69))) % 1.61/1.80 (define @t7007 () (not @t7006)) % 1.61/1.80 (define @t7008 () (or @t197 @t3342)) % 1.61/1.80 (define @t7009 () (_ @t75 @t3337)) % 1.61/1.80 (define @t7010 () (not @t7009)) % 1.61/1.80 (define @t7011 () (or @t7010 @t3339)) % 1.61/1.80 (define @t7012 () (or @t4064 @t3338)) % 1.61/1.80 (define @t7013 () (_ @t77 @t19)) % 1.61/1.80 (define @t7014 () (not @t7013)) % 1.61/1.80 (define @t7015 () (or @t7014 @t3338)) % 1.61/1.80 (define @t7016 () (forall @t70 @t7015)) % 1.61/1.80 (define @t7017 () (not @t7016)) % 1.61/1.80 (define @t7018 () (_ @t77 @t3337)) % 1.61/1.80 (define @t7019 () (not @t7018)) % 1.61/1.80 (define @t7020 () (or @t7019 @t7017)) % 1.61/1.80 (define @t7021 () (forall @t3341 @t7020)) % 1.61/1.80 (define @t7022 () (not @t7021)) % 1.61/1.80 (define @t7023 () (not (_ @t143 @t3337))) % 1.61/1.80 (define @t7024 () (or @t2887 (= @t3337 @t19))) % 1.61/1.80 (define @t7025 () (forall @t70 @t7024)) % 1.61/1.80 (define @t7026 () (not @t7025)) % 1.61/1.80 (define @t7027 () (or @t7023 @t7026)) % 1.61/1.80 (define @t7028 () (forall @t3341 @t7027)) % 1.61/1.80 (define @t7029 () (not @t7028)) % 1.61/1.80 (define @t7030 () (=> @t7 (_ @t6511 @t77))) % 1.61/1.80 (define @t7031 () (forall @t9 @t7030)) % 1.61/1.80 (define @t7032 () (=> @t7031 @t74)) % 1.61/1.80 (define @t7033 () (forall @t81 @t7032)) % 1.61/1.80 (define @t7034 () (=> tptp.replAx @t7002)) % 1.61/1.80 (define @t7035 () (or @t3348 @t3347)) % 1.61/1.80 (define @t7036 () (or @t3356 @t3354 @t7035)) % 1.61/1.80 (define @t7037 () (forall @t3358 @t7036)) % 1.61/1.80 (define @t7038 () (@list @t3346)) % 1.61/1.80 (define @t7039 () (forall @t7038 @t7036)) % 1.61/1.80 (define @t7040 () (forall @t7038 @t7035)) % 1.61/1.80 (define @t7041 () (or @t3356 @t3354 @t7040)) % 1.61/1.80 (define @t7042 () (forall @t9 (or @t3352 @t2124))) % 1.61/1.80 (define @t7043 () (not @t61)) % 1.61/1.80 (define @t7044 () (or @t7043 @t3354 @t7042)) % 1.61/1.80 (define @t7045 () (and @t61 @t3353)) % 1.61/1.80 (define @t7046 () (not @t54)) % 1.61/1.80 (define @t7047 () (or @t7046 @t7)) % 1.61/1.80 (define @t7048 () (_ tptp.in @t3349)) % 1.61/1.80 (define @t7049 () (or @t7046 @t197 @t58)) % 1.61/1.80 (define @t7050 () (=> tptp.omegaIndAx @t7034)) % 1.61/1.80 (define @t7051 () (or @t7046 @t53)) % 1.61/1.80 (define @t7052 () (=> tptp.omegaSAx @t7050)) % 1.61/1.80 (define @t7053 () (=> tptp.omega0Ax @t7052)) % 1.61/1.80 (define @t7054 () (= @t44 @t3196)) % 1.61/1.80 (define @t7055 () (forall @t41 (not @t40))) % 1.61/1.80 (define @t7056 () (not @t7055)) % 1.61/1.80 (define @t7057 () (=> tptp.setunionAx @t7053)) % 1.61/1.80 (define @t7058 () (= @t35 @t3207)) % 1.61/1.80 (define @t7059 () (=> tptp.powersetAx @t7057)) % 1.61/1.80 (define @t7060 () (= @t26 @t6801)) % 1.61/1.80 (define @t7061 () (=> tptp.setadjoinAx @t7059)) % 1.61/1.80 (define @t7062 () (=> tptp.emptysetAx @t7061)) % 1.61/1.80 (define @t7063 () (=> tptp.setextAx @t7062)) % 1.61/1.80 (define @t7064 () (or @t2036 @t2035 @t2034 @t2033 @t2032)) % 1.61/1.80 (define @t7065 () (or @t2038 @t7064)) % 1.61/1.80 (define @t7066 () (forall @t2040 @t7065)) % 1.61/1.80 (define @t7067 () (@list @t2028 @t2030 @t2029)) % 1.61/1.80 (define @t7068 () (forall @t7067 @t7065)) % 1.61/1.80 (define @t7069 () (forall @t7067 @t7064)) % 1.61/1.80 (define @t7070 () (@var "BOUND_VARIABLE_17618" $$unsorted)) % 1.61/1.80 (define @t7071 () (@var "BOUND_VARIABLE_17616" $$unsorted)) % 1.61/1.80 (define @t7072 () (or @t2038 @t7069)) % 1.61/1.80 (define @t7073 () (tptp.kpair @t7071 @t7070)) % 1.61/1.80 (define @t7074 () (tptp.in @t7073 @t3591)) % 1.61/1.80 (define @t7075 () (and (not (tptp.in @t7073 @t937)) (not (tptp.in @t7073 @t993)))) % 1.61/1.80 (define @t7076 () (not (tptp.in @t7070 @t2))) % 1.61/1.80 (define @t7077 () (not (tptp.in @t7071 @t2))) % 1.61/1.80 (define @t7078 () (or @t3598 @t7077 @t7076 @t7075 @t7074)) % 1.61/1.80 (define @t7079 () (@list @t993 @t7071 @t7070)) % 1.61/1.80 (define @t7080 () (forall @t7079 @t7078)) % 1.61/1.80 (define @t7081 () (or @t3602 @t7080)) % 1.61/1.80 (define @t7082 () (or @t7077 @t7076 @t7075 @t7074)) % 1.61/1.80 (define @t7083 () (or @t3598 @t7082)) % 1.61/1.80 (define @t7084 () (forall @t7079 @t7083)) % 1.61/1.80 (define @t7085 () (@list @t7071 @t7070)) % 1.61/1.80 (define @t7086 () (forall @t7085 @t7083)) % 1.61/1.80 (define @t7087 () (forall @t7085 @t7082)) % 1.61/1.80 (define @t7088 () (@var "BOUND_VARIABLE_17593" $$unsorted)) % 1.61/1.80 (define @t7089 () (or @t3598 @t7087)) % 1.61/1.80 (define @t7090 () (tptp.kpair @t4 @t7088)) % 1.61/1.80 (define @t7091 () (tptp.in @t7090 @t3591)) % 1.61/1.80 (define @t7092 () (and (not (tptp.in @t7090 @t937)) (not (tptp.in @t7090 @t993)))) % 1.61/1.80 (define @t7093 () (not (tptp.in @t7088 @t2))) % 1.61/1.80 (define @t7094 () (or @t2125 @t7093 @t7092 @t7091)) % 1.61/1.80 (define @t7095 () (@list @t4 @t7088)) % 1.61/1.80 (define @t7096 () (forall @t7095 @t7094)) % 1.61/1.80 (define @t7097 () (or @t3619 @t7096)) % 1.61/1.80 (define @t7098 () (or @t7093 @t7092 @t7091)) % 1.61/1.80 (define @t7099 () (or @t2125 @t7098)) % 1.61/1.80 (define @t7100 () (forall @t7095 @t7099)) % 1.61/1.80 (define @t7101 () (@list @t7088)) % 1.61/1.80 (define @t7102 () (forall @t7101 @t7099)) % 1.61/1.80 (define @t7103 () (forall @t7101 @t7098)) % 1.61/1.80 (define @t7104 () (or @t2125 @t7103)) % 1.61/1.80 (define @t7105 () (forall @t70 (or @t2889 (and @t3681 @t3631) @t3629))) % 1.61/1.80 (define @t7106 () (or @t197 @t7105)) % 1.61/1.80 (define @t7107 () (and @t3684 @t3635)) % 1.61/1.80 (define @t7108 () (or @t3636 @t7107 @t1696)) % 1.61/1.80 (define @t7109 () (@quantifiers_skolemize @t2041 2)) % 1.61/1.80 (define @t7110 () (@quantifiers_skolemize @t2041 1)) % 1.61/1.80 (define @t7111 () (@quantifiers_skolemize @t2041 4)) % 1.61/1.80 (define @t7112 () (@quantifiers_skolemize @t2041 3)) % 1.61/1.80 (define @t7113 () (tptp.kpair @t7112 @t7111)) % 1.61/1.80 (define @t7114 () (tptp.in @t7113 (tptp.binunion @t7110 @t7109))) % 1.61/1.80 (define @t7115 () (tptp.in @t7113 @t7109)) % 1.61/1.80 (define @t7116 () (not @t7115)) % 1.61/1.80 (define @t7117 () (tptp.in @t7113 @t7110)) % 1.61/1.80 (define @t7118 () (not @t7117)) % 1.61/1.80 (define @t7119 () (and @t7118 @t7116)) % 1.61/1.80 (define @t7120 () (@quantifiers_skolemize @t2041 0)) % 1.61/1.80 (define @t7121 () (or (not (tptp.breln1 @t7120 @t7110)) (not (tptp.breln1 @t7120 @t7109)) (not (tptp.in @t7112 @t7120)) (not (tptp.in @t7111 @t7120)) @t7119 @t7114)) % 1.61/1.80 (define @t7122 () (@list true)) % 1.61/1.80 (define @t7123 () (@list @t7121)) % 1.61/1.80 (define @t7124 () (@list @t7110 @t7109 @t7113)) % 1.61/1.80 (define @t7125 () (or @t7118 @t7114)) % 1.61/1.80 (define @t7126 () (@list true false)) % 1.61/1.80 (define @t7127 () (or @t7116 @t7114)) % 1.61/1.80 (define @t7128 () (not @t7127)) % 1.61/1.80 (assume @p1 @t14) % 1.61/1.80 (assume @p2 @t18) % 1.61/1.80 (assume @p3 @t30) % 1.61/1.80 (assume @p4 @t38) % 1.61/1.80 (assume @p5 @t48) % 1.61/1.80 (assume @p6 (= tptp.omega0Ax @t50)) % 1.61/1.80 (assume @p7 @t56) % 1.61/1.80 (assume @p8 @t66) % 1.61/1.80 (assume @p9 @t83) % 1.61/1.80 (assume @p10 @t92) % 1.61/1.80 (assume @p11 @t142) % 1.61/1.80 (assume @p12 @t152) % 1.61/1.80 (assume @p13 @t161) % 1.61/1.80 (assume @p14 @t163) % 1.61/1.80 (assume @p15 @t165) % 1.61/1.80 (assume @p16 @t172) % 1.61/1.80 (assume @p17 @t178) % 1.61/1.80 (assume @p18 @t183) % 1.61/1.80 (assume @p19 @t185) % 1.61/1.80 (assume @p20 (= tptp.notinemptyset @t17)) % 1.61/1.80 (assume @p21 @t189) % 1.61/1.80 (assume @p22 @t195) % 1.61/1.80 (assume @p23 @t201) % 1.61/1.80 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.61/1.80 (assume @p25 @t204) % 1.61/1.80 (assume @p26 @t208) % 1.61/1.80 (assume @p27 @t212) % 1.61/1.80 (assume @p28 @t215) % 1.61/1.80 (assume @p29 @t219) % 1.61/1.80 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.61/1.80 (assume @p31 @t223) % 1.61/1.80 (assume @p32 @t231) % 1.61/1.80 (assume @p33 @t234) % 1.61/1.80 (assume @p34 @t238) % 1.61/1.80 (assume @p35 @t241) % 1.61/1.80 (assume @p36 @t244) % 1.61/1.80 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.61/1.80 (assume @p38 @t247) % 1.61/1.80 (assume @p39 @t251) % 1.61/1.80 (assume @p40 @t258) % 1.61/1.80 (assume @p41 @t262) % 1.61/1.80 (assume @p42 @t268) % 1.61/1.80 (assume @p43 @t273) % 1.61/1.80 (assume @p44 @t278) % 1.61/1.80 (assume @p45 @t284) % 1.61/1.80 (assume @p46 @t286) % 1.61/1.80 (assume @p47 @t288) % 1.61/1.80 (assume @p48 @t299) % 1.61/1.80 (assume @p49 @t302) % 1.61/1.80 (assume @p50 @t305) % 1.61/1.80 (assume @p51 @t313) % 1.61/1.80 (assume @p52 @t316) % 1.61/1.80 (assume @p53 @t324) % 1.61/1.80 (assume @p54 @t329) % 1.61/1.80 (assume @p55 @t332) % 1.61/1.80 (assume @p56 @t335) % 1.61/1.80 (assume @p57 @t338) % 1.61/1.80 (assume @p58 @t341) % 1.61/1.80 (assume @p59 (= tptp.notdexE @t331)) % 1.61/1.80 (assume @p60 (= tptp.notdallE @t323)) % 1.61/1.80 (assume @p61 @t344) % 1.61/1.80 (assume @p62 @t350) % 1.61/1.80 (assume @p63 @t353) % 1.61/1.80 (assume @p64 @t359) % 1.61/1.80 (assume @p65 @t364) % 1.61/1.80 (assume @p66 @t367) % 1.61/1.80 (assume @p67 @t380) % 1.61/1.80 (assume @p68 @t382) % 1.61/1.80 (assume @p69 @t392) % 1.61/1.80 (assume @p70 @t396) % 1.61/1.80 (assume @p71 @t400) % 1.61/1.80 (assume @p72 @t401) % 1.61/1.80 (assume @p73 @t402) % 1.61/1.80 (assume @p74 @t409) % 1.61/1.80 (assume @p75 @t420) % 1.61/1.80 (assume @p76 @t425) % 1.61/1.80 (assume @p77 @t429) % 1.61/1.80 (assume @p78 @t431) % 1.61/1.80 (assume @p79 (= tptp.subsetI2 @t424)) % 1.61/1.80 (assume @p80 @t434) % 1.61/1.80 (assume @p81 @t436) % 1.61/1.80 (assume @p82 @t440) % 1.61/1.80 (assume @p83 @t444) % 1.61/1.80 (assume @p84 @t447) % 1.61/1.80 (assume @p85 @t450) % 1.61/1.80 (assume @p86 @t453) % 1.61/1.80 (assume @p87 @t459) % 1.61/1.80 (assume @p88 @t463) % 1.61/1.80 (assume @p89 @t467) % 1.61/1.80 (assume @p90 @t471) % 1.61/1.80 (assume @p91 @t474) % 1.61/1.80 (assume @p92 @t477) % 1.61/1.80 (assume @p93 @t479) % 1.61/1.80 (assume @p94 @t481) % 1.61/1.80 (assume @p95 @t484) % 1.61/1.80 (assume @p96 @t487) % 1.61/1.80 (assume @p97 @t490) % 1.61/1.80 (assume @p98 @t493) % 1.61/1.80 (assume @p99 @t497) % 1.61/1.80 (assume @p100 (= tptp.upairset2IR @t304)) % 1.61/1.80 (assume @p101 @t499) % 1.61/1.80 (assume @p102 @t506) % 1.61/1.80 (assume @p103 @t509) % 1.61/1.80 (assume @p104 @t512) % 1.61/1.80 (assume @p105 @t515) % 1.61/1.80 (assume @p106 @t521) % 1.61/1.80 (assume @p107 @t528) % 1.61/1.80 (assume @p108 @t530) % 1.61/1.80 (assume @p109 @t534) % 1.61/1.80 (assume @p110 @t538) % 1.61/1.80 (assume @p111 @t542) % 1.61/1.80 (assume @p112 @t544) % 1.61/1.80 (assume @p113 @t550) % 1.61/1.80 (assume @p114 @t553) % 1.61/1.80 (assume @p115 @t556) % 1.61/1.80 (assume @p116 @t559) % 1.61/1.80 (assume @p117 @t566) % 1.61/1.80 (assume @p118 @t572) % 1.61/1.80 (assume @p119 @t574) % 1.61/1.80 (assume @p120 @t576) % 1.61/1.80 (assume @p121 @t580) % 1.61/1.80 (assume @p122 @t583) % 1.61/1.80 (assume @p123 @t585) % 1.61/1.80 (assume @p124 @t587) % 1.61/1.80 (assume @p125 @t589) % 1.61/1.80 (assume @p126 @t592) % 1.61/1.80 (assume @p127 @t595) % 1.61/1.80 (assume @p128 @t605) % 1.61/1.80 (assume @p129 @t608) % 1.61/1.80 (assume @p130 @t611) % 1.61/1.80 (assume @p131 @t615) % 1.61/1.80 (assume @p132 @t618) % 1.61/1.80 (assume @p133 (= tptp.secondinupair @t304)) % 1.61/1.80 (assume @p134 @t625) % 1.61/1.80 (assume @p135 @t628) % 1.61/1.80 (assume @p136 @t631) % 1.61/1.80 (assume @p137 @t636) % 1.61/1.80 (assume @p138 @t639) % 1.61/1.80 (assume @p139 @t643) % 1.61/1.80 (assume @p140 @t647) % 1.61/1.80 (assume @p141 (= tptp.upairset2E @t298)) % 1.61/1.80 (assume @p142 @t652) % 1.61/1.80 (assume @p143 @t657) % 1.61/1.80 (assume @p144 @t662) % 1.61/1.80 (assume @p145 @t668) % 1.61/1.80 (assume @p146 @t674) % 1.61/1.80 (assume @p147 @t680) % 1.61/1.80 (assume @p148 @t691) % 1.61/1.80 (assume @p149 @t694) % 1.61/1.80 (assume @p150 @t704) % 1.61/1.80 (assume @p151 @t709) % 1.61/1.80 (assume @p152 @t712) % 1.61/1.80 (assume @p153 @t715) % 1.61/1.80 (assume @p154 @t723) % 1.61/1.80 (assume @p155 @t728) % 1.61/1.80 (assume @p156 @t737) % 1.61/1.80 (assume @p157 @t741) % 1.61/1.80 (assume @p158 @t744) % 1.61/1.80 (assume @p159 @t750) % 1.61/1.80 (assume @p160 @t759) % 1.61/1.80 (assume @p161 @t764) % 1.61/1.80 (assume @p162 @t768) % 1.61/1.80 (assume @p163 @t772) % 1.61/1.80 (assume @p164 @t780) % 1.61/1.80 (assume @p165 @t785) % 1.61/1.80 (assume @p166 @t788) % 1.61/1.80 (assume @p167 @t792) % 1.61/1.80 (assume @p168 @t796) % 1.61/1.80 (assume @p169 @t799) % 1.61/1.80 (assume @p170 @t801) % 1.61/1.80 (assume @p171 @t803) % 1.61/1.80 (assume @p172 @t811) % 1.61/1.80 (assume @p173 @t815) % 1.61/1.80 (assume @p174 @t821) % 1.61/1.80 (assume @p175 @t824) % 1.61/1.80 (assume @p176 @t827) % 1.61/1.80 (assume @p177 @t829) % 1.61/1.80 (assume @p178 @t834) % 1.61/1.80 (assume @p179 @t839) % 1.61/1.80 (assume @p180 @t844) % 1.61/1.80 (assume @p181 @t847) % 1.61/1.80 (assume @p182 @t859) % 1.61/1.80 (assume @p183 @t865) % 1.61/1.80 (assume @p184 @t869) % 1.61/1.80 (assume @p185 @t874) % 1.61/1.80 (assume @p186 @t877) % 1.61/1.80 (assume @p187 @t879) % 1.61/1.80 (assume @p188 @t881) % 1.61/1.80 (assume @p189 @t893) % 1.61/1.80 (assume @p190 @t899) % 1.61/1.80 (assume @p191 @t906) % 1.61/1.80 (assume @p192 @t911) % 1.61/1.80 (assume @p193 @t914) % 1.61/1.80 (assume @p194 @t916) % 1.61/1.80 (assume @p195 @t925) % 1.61/1.80 (assume @p196 @t932) % 1.61/1.80 (assume @p197 @t936) % 1.61/1.80 (assume @p198 @t952) % 1.61/1.80 (assume @p199 (= tptp.brelnall2 @t951)) % 1.61/1.80 (assume @p200 @t955) % 1.61/1.80 (assume @p201 @t961) % 1.61/1.80 (assume @p202 @t964) % 1.61/1.80 (assume @p203 @t972) % 1.61/1.80 (assume @p204 @t989) % 1.61/1.80 (assume @p205 @t992) % 1.61/1.80 (assume @p206 @t1007) % 1.61/1.80 (assume @p207 @t1019) % 1.61/1.80 (assume @p208 @t1026) % 1.61/1.80 (assume @p209 @t1033) % 1.61/1.80 (assume @p210 @t1038) % 1.61/1.80 (assume @p211 @t1041) % 1.61/1.80 (assume @p212 @t1050) % 1.61/1.80 (assume @p213 @t1056) % 1.61/1.80 (assume @p214 @t1059) % 1.61/1.80 (assume @p215 (= tptp.beta2 @t1049)) % 1.61/1.80 (assume @p216 @t1062) % 1.61/1.80 (assume @p217 @t1076) % 1.61/1.80 (assume @p218 @t1083) % 1.61/1.80 (assume @p219 @t1089) % 1.61/1.80 (assume @p220 @t1096) % 1.61/1.80 (assume @p221 @t1101) % 1.61/1.80 (assume @p222 @t1108) % 1.61/1.80 (assume @p223 @t1113) % 1.61/1.80 (assume @p224 @t1119) % 1.61/1.80 (assume @p225 @t1125) % 1.61/1.80 (assume @p226 @t1130) % 1.61/1.80 (assume @p227 @t1143) % 1.61/1.80 (assume @p228 @t1150) % 1.61/1.80 (assume @p229 @t1155) % 1.61/1.80 (assume @p230 @t1161) % 1.61/1.80 (assume @p231 @t1166) % 1.61/1.80 (assume @p232 @t1179) % 1.61/1.80 (assume @p233 @t1187) % 1.61/1.80 (assume @p234 @t1195) % 1.61/1.80 (assume @p235 @t1202) % 1.61/1.80 (assume @p236 @t1209) % 1.61/1.80 (assume @p237 @t1214) % 1.61/1.80 (assume @p238 @t1224) % 1.61/1.80 (assume @p239 @t1232) % 1.61/1.80 (assume @p240 @t1242) % 1.61/1.80 (assume @p241 @t1250) % 1.61/1.80 (assume @p242 @t1256) % 1.61/1.80 (assume @p243 @t1261) % 1.61/1.80 (assume @p244 @t1268) % 1.61/1.80 (assume @p245 @t1273) % 1.61/1.80 (assume @p246 @t1276) % 1.61/1.80 (assume @p247 @t1279) % 1.61/1.80 (assume @p248 @t1282) % 1.61/1.80 (assume @p249 @t1289) % 1.61/1.80 (assume @p250 @t1298) % 1.61/1.80 (assume @p251 @t1303) % 1.61/1.80 (assume @p252 @t1309) % 1.61/1.80 (assume @p253 @t1317) % 1.61/1.80 (assume @p254 @t1324) % 1.61/1.80 (assume @p255 @t1333) % 1.61/1.80 (assume @p256 @t1340) % 1.61/1.80 (assume @p257 @t1355) % 1.61/1.80 (assume @p258 @t1366) % 1.61/1.80 (assume @p259 @t1377) % 1.61/1.80 (assume @p260 @t1385) % 1.61/1.80 (assume @p261 @t1394) % 1.61/1.80 (assume @p262 @t1401) % 1.61/1.80 (assume @p263 @t1412) % 1.61/1.80 (assume @p264 @t1420) % 1.61/1.80 (assume @p265 (= tptp.demorgan2a1 @t1400)) % 1.61/1.80 (assume @p266 @t1426) % 1.61/1.80 (assume @p267 @t1434) % 1.61/1.80 (assume @p268 @t1443) % 1.61/1.80 (assume @p269 @t1450) % 1.61/1.80 (assume @p270 @t1455) % 1.61/1.80 (assume @p271 @t1464) % 1.61/1.80 (assume @p272 @t1472) % 1.61/1.80 (assume @p273 @t1479) % 1.61/1.80 (assume @p274 @t1484) % 1.61/1.80 (assume @p275 @t1490) % 1.61/1.80 (assume @p276 @t1500) % 1.61/1.80 (assume @p277 @t1508) % 1.61/1.80 (assume @p278 @t1518) % 1.61/1.80 (assume @p279 @t1535) % 1.61/1.80 (assume @p280 (= tptp.woz1_1 @t1308)) % 1.61/1.80 (assume @p281 @t1551) % 1.61/1.80 (assume @p282 (= tptp.woz1_3 @t1384)) % 1.61/1.80 (assume @p283 (= tptp.woz1_4 @t1323)) % 1.61/1.80 (assume @p284 (= tptp.woz1_5 @t1425)) % 1.61/1.80 (assume @p285 @t1562) % 1.61/1.80 (assume @p286 @t1567) % 1.61/1.80 (assume @p287 @t1592) % 1.61/1.80 (assume @p288 @t1598) % 1.61/1.80 (assume @p289 (= tptp.breln1all1 @t1561)) % 1.61/1.80 (assume @p290 @t1608) % 1.61/1.80 (assume @p291 @t1618) % 1.61/1.80 (assume @p292 @t1622) % 1.61/1.80 (assume @p293 @t1631) % 1.61/1.80 (assume @p294 @t1638) % 1.61/1.80 (assume @p295 @t1644) % 1.61/1.80 (assume @p296 @t1662) % 1.61/1.80 (assume @p297 @t1674) % 1.61/1.80 (assume @p298 @t1689) % 1.61/1.80 (assume @p299 @t1695) % 1.61/1.80 (assume @p300 @t1705) % 1.61/1.80 (assume @p301 @t1714) % 1.61/1.80 (assume @p302 @t2025) % 1.61/1.80 (assume @p303 true) % 1.61/1.80 (step @p304 (= tptp.exu @t2026) :rule refl :args (@t2026)) % 1.61/1.80 (step @p305 (= tptp.nonempty @t2027) :rule refl :args (@t2027)) % 1.61/1.80 (step @p306 :rule refl :args (@t3142)) % 1.61/1.80 (step @p307 :rule skolem_intro :args ((@purify true))) % 1.61/1.80 (step @p308 :rule symm :premises (@p307)) % 1.61/1.80 (step @p309 :rule cong :premises (@p308) :args (@t3143)) % 1.61/1.80 (step @p310 :rule cong :premises (@p309) :args (@t3144)) % 1.61/1.80 (step @p311 :rule cong :premises (@p310 @p306) :args (@t3145)) % 1.61/1.80 (step @p312 :rule refl :args (tptp.emptyset)) % 1.61/1.80 (step @p313 :rule cong :premises (@p312 @p309) :args (@t3146)) % 1.61/1.80 (step @p314 :rule cong :premises (@p313 @p311) :args (@t3147)) % 1.61/1.80 (step @p315 :rule refl :args (@t3150)) % 1.61/1.80 (step @p316 :rule cong :premises (@p315 @p314) :args (@t3151)) % 1.61/1.80 (step @p317 :rule refl :args (@t3158)) % 1.61/1.80 (step @p318 :rule cong :premises (@p317 @p316) :args (@t3159)) % 1.61/1.80 (step @p319 :rule refl :args (@t2984)) % 1.61/1.80 (step @p320 :rule cong :premises (@p319 @p318) :args (@t3160)) % 1.61/1.80 (step @p321 :rule refl :args (@t3162)) % 1.61/1.80 (step @p322 :rule cong :premises (@p321 @p320) :args (@t3163)) % 1.61/1.80 (step @p323 :rule refl :args (@t2967)) % 1.61/1.80 (step @p324 :rule cong :premises (@p323 @p322) :args (@t3164)) % 1.61/1.80 (step @p325 :rule refl :args (@t3168)) % 1.61/1.80 (step @p326 :rule cong :premises (@p325 @p324) :args (@t3169)) % 1.61/1.80 (step @p327 :rule refl :args (@t3171)) % 1.61/1.80 (step @p328 :rule cong :premises (@p327 @p326) :args (@t3172)) % 1.61/1.80 (step @p329 :rule refl :args (@t3173)) % 1.61/1.80 (step @p330 :rule cong :premises (@p329 @p328) :args (@t3174)) % 1.61/1.80 (step @p331 :rule refl :args (@t3175)) % 1.61/1.80 (step @p332 :rule cong :premises (@p331 @p330) :args (@t3176)) % 1.61/1.80 (step @p333 :rule refl :args (@t3179)) % 1.61/1.80 (step @p334 :rule cong :premises (@p333 @p332) :args (@t3180)) % 1.61/1.80 (step @p335 :rule refl :args (@t3187)) % 1.61/1.80 (step @p336 :rule cong :premises (@p335 @p334) :args (@t3188)) % 1.61/1.80 (step @p337 :rule refl :args (@t3191)) % 1.61/1.80 (step @p338 :rule cong :premises (@p337 @p336) :args (@t3192)) % 1.61/1.80 (step @p339 :rule refl :args (@t3197)) % 1.61/1.80 (step @p340 :rule cong :premises (@p339 @p338) :args (@t3198)) % 1.61/1.80 (step @p341 :rule refl :args (@t3199)) % 1.61/1.80 (step @p342 :rule cong :premises (@p341 @p340) :args (@t3200)) % 1.61/1.80 (step @p343 :rule refl :args (@t3201)) % 1.61/1.80 (step @p344 :rule cong :premises (@p343 @p342) :args (@t3202)) % 1.61/1.80 (step @p345 :rule refl :args (@t3204)) % 1.61/1.80 (step @p346 :rule cong :premises (@p345 @p344) :args (@t3205)) % 1.61/1.80 (step @p347 :rule cong :premises (@p345 @p346) :args (@t3206)) % 1.61/1.80 (step @p348 :rule refl :args (@t3209)) % 1.61/1.80 (step @p349 :rule cong :premises (@p348 @p347) :args (@t3210)) % 1.61/1.80 (step @p350 :rule refl :args (@t3214)) % 1.61/1.80 (step @p351 :rule cong :premises (@p350 @p349) :args (@t3215)) % 1.61/1.80 (step @p352 :rule refl :args (@t3217)) % 1.61/1.80 (step @p353 :rule cong :premises (@p352 @p351) :args (@t3218)) % 1.61/1.80 (step @p354 :rule cong :premises (@p352 @p353) :args (@t3219)) % 1.61/1.80 (step @p355 :rule refl :args (@t3220)) % 1.61/1.80 (step @p356 :rule cong :premises (@p355 @p354) :args (@t3221)) % 1.61/1.80 (step @p357 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.61/1.80 (step @p358 :rule refl :args (@t3222)) % 1.61/1.80 (step @p359 :rule refl :args (tptp.emptyset)) % 1.61/1.80 (step @p360 :rule cong :premises (@p359 @p358) :args (@t3223)) % 1.61/1.80 (step @p361 :rule trans :premises (@p360 @p357)) % 1.61/1.80 (step @p362 :rule refl :args (@t49)) % 1.61/1.80 (step @p363 :rule ho_cong :premises (@p362 @p358)) % 1.61/1.80 (step @p364 :rule cong :premises (@p363 @p361) :args ((= (_ @t49 @t3222) @t3223))) % 1.61/1.80 (step @p365 :rule symm :premises (@p364)) % 1.61/1.80 (step @p366 :rule refl :args (@t221)) % 1.61/1.80 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 1.61/1.80 (step @p368 :rule refl :args (@t220)) % 1.61/1.80 (step @p369 :rule cong :premises (@p368 @p358) :args ((= @t220 @t3222))) % 1.61/1.80 (step @p370 :rule symm :premises (@p369)) % 1.61/1.80 (step @p371 :rule eq_resolve :premises (@p368 @p370)) % 1.61/1.80 (step @p372 :rule refl :args (@t49)) % 1.61/1.80 (step @p373 :rule ho_cong :premises (@p372 @p371)) % 1.61/1.80 (step @p374 :rule trans :premises (@p373 @p367)) % 1.61/1.80 (step @p375 :rule cong :premises (@p374 @p356) :args (@t3224)) % 1.61/1.80 (step @p376 :rule refl :args (@t3227)) % 1.61/1.80 (step @p377 :rule cong :premises (@p376 @p375) :args (@t3228)) % 1.61/1.80 (step @p378 :rule refl :args (@t3232)) % 1.61/1.80 (step @p379 :rule cong :premises (@p378 @p377) :args (@t3233)) % 1.61/1.80 (step @p380 :rule refl :args (@t3234)) % 1.61/1.80 (step @p381 :rule cong :premises (@p380 @p379) :args (@t3235)) % 1.61/1.80 (step @p382 :rule cong :premises (@p333 @p381) :args (@t3236)) % 1.61/1.80 (step @p383 :rule refl :args (@t3238)) % 1.61/1.80 (step @p384 :rule cong :premises (@p383 @p382) :args (@t3239)) % 1.61/1.80 (step @p385 :rule refl :args (@t3240)) % 1.61/1.80 (step @p386 :rule cong :premises (@p385 @p384) :args (@t3241)) % 1.61/1.80 (step @p387 :rule cong :premises (@p385 @p386) :args (@t3242)) % 1.61/1.80 (step @p388 :rule refl :args (@t3244)) % 1.61/1.80 (step @p389 :rule cong :premises (@p388 @p387) :args (@t3245)) % 1.61/1.80 (step @p390 :rule refl :args (@t3251)) % 1.61/1.80 (step @p391 :rule cong :premises (@p390 @p389) :args (@t3252)) % 1.61/1.80 (step @p392 :rule refl :args (@t3253)) % 1.61/1.80 (step @p393 :rule cong :premises (@p392 @p391) :args (@t3254)) % 1.61/1.80 (step @p394 :rule cong :premises (@p392 @p393) :args (@t3255)) % 1.61/1.80 (step @p395 :rule cong :premises (@p392 @p394) :args (@t3256)) % 1.61/1.80 (step @p396 :rule refl :args (@t3258)) % 1.61/1.80 (step @p397 :rule cong :premises (@p396 @p395) :args (@t3259)) % 1.61/1.80 (step @p398 :rule refl :args (@t3261)) % 1.61/1.80 (step @p399 :rule cong :premises (@p398 @p397) :args (@t3262)) % 1.61/1.80 (step @p400 :rule refl :args (@t3263)) % 1.61/1.80 (step @p401 :rule cong :premises (@p400 @p399) :args (@t3264)) % 1.61/1.80 (step @p402 :rule refl :args (@t3265)) % 1.61/1.80 (step @p403 :rule cong :premises (@p402 @p401) :args (@t3266)) % 1.61/1.80 (step @p404 :rule refl :args (@t3271)) % 1.61/1.80 (step @p405 :rule cong :premises (@p404 @p403) :args (@t3272)) % 1.61/1.80 (step @p406 :rule refl :args (@t3323)) % 1.61/1.80 (step @p407 :rule cong :premises (@p406 @p405) :args (@t3324)) % 1.61/1.80 (step @p408 :rule refl :args (@t3331)) % 1.61/1.80 (step @p409 :rule cong :premises (@p408 @p407) :args (@t3332)) % 1.61/1.80 (step @p410 :rule refl :args (@t3344)) % 1.61/1.80 (step @p411 :rule cong :premises (@p410 @p409) :args (@t3345)) % 1.61/1.80 (step @p412 :rule refl :args (@t3359)) % 1.61/1.80 (step @p413 :rule cong :premises (@p412 @p411) :args (@t3360)) % 1.61/1.80 (step @p414 :rule refl :args (@t3362)) % 1.61/1.80 (step @p415 :rule cong :premises (@p414 @p413) :args (@t3363)) % 1.61/1.80 (step @p416 :rule refl :args (@t3364)) % 1.61/1.80 (step @p417 :rule refl :args (@t50)) % 1.61/1.80 (step @p418 :rule cong :premises (@p417 @p416) :args ((= @t50 @t3364))) % 1.61/1.80 (step @p419 :rule symm :premises (@p418)) % 1.61/1.80 (step @p420 :rule eq_resolve :premises (@p417 @p419)) % 1.61/1.80 (step @p421 :rule cong :premises (@p420 @p415) :args (@t3365)) % 1.61/1.80 (step @p422 :rule refl :args (@t3366)) % 1.61/1.80 (step @p423 :rule cong :premises (@p422 @p421) :args (@t3367)) % 1.61/1.80 (step @p424 :rule refl :args (@t3368)) % 1.61/1.80 (step @p425 :rule cong :premises (@p424 @p423) :args (@t3369)) % 1.61/1.80 (step @p426 :rule refl :args (@t3371)) % 1.61/1.80 (step @p427 :rule cong :premises (@p426 @p425) :args (@t3372)) % 1.61/1.80 (step @p428 :rule cong :premises (@p392 @p427) :args (@t3373)) % 1.61/1.80 (step @p429 :rule refl :args (@t3375)) % 1.61/1.80 (step @p430 :rule cong :premises (@p429 @p428) :args (@t3376)) % 1.61/1.80 (step @p431 :rule cong :premises (@p430) :args ((not @t3376))) % 1.61/1.80 (step @p432 :rule bool-impl-true2 :args (@t2623)) % 1.61/1.80 (step @p433 :rule refl :args (@t2626)) % 1.61/1.80 (step @p434 :rule cong :premises (@p433 @p432) :args (@t3377)) % 1.61/1.80 (step @p435 :rule refl :args (@t2622)) % 1.61/1.80 (step @p436 :rule cong :premises (@p435 @p434) :args (@t3378)) % 1.61/1.80 (step @p437 :rule bool-impl-true2 :args (@t3378)) % 1.61/1.80 (step @p438 :rule trans :premises (@p437 @p436)) % 1.61/1.80 (step @p439 :rule bool-impl-true2 :args (@t3378)) % 1.61/1.80 (step @p440 :rule refl :args (true)) % 1.61/1.80 (step @p441 :rule cong :premises (@p440 @p439) :args (@t3379)) % 1.61/1.80 (step @p442 :rule trans :premises (@p441 @p438)) % 1.61/1.80 (step @p443 :rule refl :args (@t2633)) % 1.61/1.80 (step @p444 :rule cong :premises (@p443 @p442) :args (@t3380)) % 1.61/1.80 (step @p445 :rule refl :args (@t2640)) % 1.61/1.80 (step @p446 :rule cong :premises (@p445 @p444) :args (@t3381)) % 1.61/1.80 (step @p447 :rule refl :args (@t2660)) % 1.61/1.80 (step @p448 :rule cong :premises (@p447 @p446) :args (@t3382)) % 1.61/1.80 (step @p449 :rule refl :args (@t2667)) % 1.61/1.80 (step @p450 :rule cong :premises (@p449 @p448) :args (@t3383)) % 1.61/1.80 (step @p451 :rule refl :args (@t2675)) % 1.61/1.80 (step @p452 :rule cong :premises (@p451 @p450) :args (@t3384)) % 1.61/1.80 (step @p453 :rule refl :args (@t2688)) % 1.61/1.80 (step @p454 :rule cong :premises (@p453 @p452) :args (@t3385)) % 1.61/1.80 (step @p455 :rule refl :args (@t2696)) % 1.61/1.80 (step @p456 :rule cong :premises (@p455 @p454) :args (@t3386)) % 1.61/1.80 (step @p457 :rule refl :args (@t2702)) % 1.61/1.80 (step @p458 :rule cong :premises (@p457 @p456) :args (@t3387)) % 1.61/1.80 (step @p459 :rule refl :args (@t2708)) % 1.61/1.80 (step @p460 :rule cong :premises (@p459 @p458) :args (@t3388)) % 1.61/1.80 (step @p461 :rule refl :args (@t2720)) % 1.61/1.80 (step @p462 :rule cong :premises (@p461 @p460) :args (@t3389)) % 1.61/1.80 (step @p463 :rule refl :args (@t2733)) % 1.61/1.80 (step @p464 :rule cong :premises (@p463 @p462) :args (@t3390)) % 1.61/1.80 (step @p465 :rule cong :premises (@p463 @p464) :args (@t3391)) % 1.61/1.80 (step @p466 :rule refl :args (@t2734)) % 1.61/1.80 (step @p467 :rule cong :premises (@p466 @p465) :args (@t3392)) % 1.61/1.80 (step @p468 :rule refl :args (@t2735)) % 1.61/1.80 (step @p469 :rule cong :premises (@p468 @p467) :args (@t3393)) % 1.61/1.80 (step @p470 :rule refl :args (@t2740)) % 1.61/1.80 (step @p471 :rule cong :premises (@p470 @p469) :args (@t3394)) % 1.61/1.80 (step @p472 :rule refl :args (@t2741)) % 1.61/1.80 (step @p473 :rule cong :premises (@p472 @p471) :args (@t3395)) % 1.61/1.80 (step @p474 :rule refl :args (@t2747)) % 1.61/1.80 (step @p475 :rule cong :premises (@p474 @p473) :args (@t3396)) % 1.61/1.80 (step @p476 :rule refl :args (@t2748)) % 1.61/1.80 (step @p477 :rule cong :premises (@p476 @p475) :args (@t3397)) % 1.61/1.80 (step @p478 :rule refl :args (@t2754)) % 1.61/1.80 (step @p479 :rule cong :premises (@p478 @p477) :args (@t3398)) % 1.61/1.80 (step @p480 :rule refl :args (@t2760)) % 1.61/1.80 (step @p481 :rule cong :premises (@p480 @p479) :args (@t3399)) % 1.61/1.80 (step @p482 :rule refl :args (@t2766)) % 1.61/1.80 (step @p483 :rule cong :premises (@p482 @p481) :args (@t3400)) % 1.61/1.80 (step @p484 :rule refl :args (@t2771)) % 1.61/1.80 (step @p485 :rule cong :premises (@p484 @p483) :args (@t3401)) % 1.61/1.80 (step @p486 :rule refl :args (@t2772)) % 1.61/1.80 (step @p487 :rule cong :premises (@p486 @p485) :args (@t3402)) % 1.61/1.80 (step @p488 :rule refl :args (@t2773)) % 1.61/1.80 (step @p489 :rule cong :premises (@p488 @p487) :args (@t3403)) % 1.61/1.80 (step @p490 :rule refl :args (@t2780)) % 1.61/1.80 (step @p491 :rule cong :premises (@p490 @p489) :args (@t3404)) % 1.61/1.80 (step @p492 :rule refl :args (@t2781)) % 1.61/1.80 (step @p493 :rule cong :premises (@p492 @p491) :args (@t3405)) % 1.61/1.80 (step @p494 :rule refl :args (@t2783)) % 1.61/1.80 (step @p495 :rule cong :premises (@p494 @p493) :args (@t3406)) % 1.61/1.80 (step @p496 :rule refl :args (@t2790)) % 1.61/1.80 (step @p497 :rule cong :premises (@p496 @p495) :args (@t3407)) % 1.61/1.80 (step @p498 :rule refl :args (@t2797)) % 1.61/1.80 (step @p499 :rule cong :premises (@p498 @p497) :args (@t3408)) % 1.61/1.80 (step @p500 :rule refl :args (@t2803)) % 1.61/1.80 (step @p501 :rule cong :premises (@p500 @p499) :args (@t3409)) % 1.61/1.80 (step @p502 :rule refl :args (@t2809)) % 1.61/1.80 (step @p503 :rule cong :premises (@p502 @p501) :args (@t3410)) % 1.61/1.80 (step @p504 :rule bool-impl-true2 :args (@t3410)) % 1.61/1.80 (step @p505 :rule trans :premises (@p504 @p503)) % 1.61/1.80 (step @p506 :rule refl :args (@t2812)) % 1.61/1.80 (step @p507 :rule cong :premises (@p506 @p505) :args (@t3411)) % 1.61/1.80 (step @p508 :rule refl :args (@t2813)) % 1.61/1.80 (step @p509 :rule cong :premises (@p508 @p507) :args (@t3412)) % 1.61/1.80 (step @p510 :rule refl :args (@t2815)) % 1.61/1.80 (step @p511 :rule cong :premises (@p510 @p509) :args (@t3413)) % 1.61/1.80 (step @p512 :rule refl :args (@t2818)) % 1.61/1.80 (step @p513 :rule cong :premises (@p512 @p511) :args (@t3414)) % 1.61/1.80 (step @p514 :rule refl :args (@t2821)) % 1.61/1.80 (step @p515 :rule cong :premises (@p514 @p513) :args (@t3415)) % 1.61/1.80 (step @p516 :rule refl :args (@t2828)) % 1.61/1.80 (step @p517 :rule cong :premises (@p516 @p515) :args (@t3416)) % 1.61/1.80 (step @p518 :rule refl :args (@t2831)) % 1.61/1.80 (step @p519 :rule cong :premises (@p518 @p517) :args (@t3417)) % 1.61/1.80 (step @p520 :rule refl :args (@t2842)) % 1.61/1.80 (step @p521 :rule cong :premises (@p520 @p519) :args (@t3418)) % 1.61/1.80 (step @p522 :rule refl :args (@t2843)) % 1.61/1.80 (step @p523 :rule cong :premises (@p522 @p521) :args (@t3419)) % 1.61/1.80 (step @p524 :rule refl :args (@t2847)) % 1.61/1.80 (step @p525 :rule cong :premises (@p524 @p523) :args (@t3420)) % 1.61/1.80 (step @p526 :rule refl :args (@t2850)) % 1.61/1.80 (step @p527 :rule cong :premises (@p526 @p525) :args (@t3421)) % 1.61/1.80 (step @p528 :rule refl :args (@t2852)) % 1.61/1.80 (step @p529 :rule cong :premises (@p528 @p527) :args (@t3422)) % 1.61/1.80 (step @p530 :rule refl :args (@t2853)) % 1.61/1.80 (step @p531 :rule cong :premises (@p530 @p529) :args (@t3423)) % 1.61/1.80 (step @p532 :rule refl :args (@t2854)) % 1.61/1.80 (step @p533 :rule cong :premises (@p532 @p531) :args (@t3424)) % 1.61/1.80 (step @p534 :rule refl :args (@t2856)) % 1.61/1.80 (step @p535 :rule cong :premises (@p534 @p533) :args (@t3425)) % 1.61/1.80 (step @p536 :rule refl :args (@t2859)) % 1.61/1.80 (step @p537 :rule cong :premises (@p536 @p535) :args (@t3426)) % 1.61/1.80 (step @p538 :rule refl :args (@t2861)) % 1.61/1.80 (step @p539 :rule cong :premises (@p538 @p537) :args (@t3427)) % 1.61/1.80 (step @p540 :rule refl :args (@t2866)) % 1.61/1.80 (step @p541 :rule cong :premises (@p540 @p539) :args (@t3428)) % 1.61/1.80 (step @p542 :rule refl :args (@t2868)) % 1.61/1.80 (step @p543 :rule cong :premises (@p542 @p541) :args (@t3429)) % 1.61/1.80 (step @p544 :rule refl :args (@t2869)) % 1.61/1.80 (step @p545 :rule cong :premises (@p544 @p543) :args (@t3430)) % 1.61/1.80 (step @p546 :rule refl :args (@t2885)) % 1.61/1.80 (step @p547 :rule cong :premises (@p546 @p545) :args (@t3431)) % 1.61/1.80 (step @p548 :rule refl :args (@t2892)) % 1.61/1.80 (step @p549 :rule cong :premises (@p548 @p547) :args (@t3432)) % 1.61/1.80 (step @p550 :rule refl :args (@t2895)) % 1.61/1.80 (step @p551 :rule cong :premises (@p550 @p549) :args (@t3433)) % 1.61/1.80 (step @p552 :rule refl :args (@t2903)) % 1.61/1.80 (step @p553 :rule cong :premises (@p552 @p551) :args (@t3434)) % 1.61/1.80 (step @p554 :rule refl :args (@t2905)) % 1.61/1.80 (step @p555 :rule cong :premises (@p554 @p553) :args (@t3435)) % 1.61/1.80 (step @p556 :rule refl :args (@t2909)) % 1.61/1.80 (step @p557 :rule cong :premises (@p556 @p555) :args (@t3436)) % 1.61/1.80 (step @p558 :rule refl :args (@t2911)) % 1.61/1.80 (step @p559 :rule cong :premises (@p558 @p557) :args (@t3437)) % 1.61/1.80 (step @p560 :rule refl :args (@t2917)) % 1.61/1.80 (step @p561 :rule cong :premises (@p560 @p559) :args (@t3438)) % 1.61/1.80 (step @p562 :rule refl :args (@t2918)) % 1.61/1.80 (step @p563 :rule cong :premises (@p562 @p561) :args (@t3439)) % 1.61/1.80 (step @p564 :rule refl :args (@t2925)) % 1.61/1.80 (step @p565 :rule cong :premises (@p564 @p563) :args (@t3440)) % 1.61/1.80 (step @p566 :rule refl :args (@t2931)) % 1.61/1.80 (step @p567 :rule cong :premises (@p566 @p565) :args (@t3441)) % 1.61/1.80 (step @p568 :rule refl :args (@t2940)) % 1.61/1.80 (step @p569 :rule cong :premises (@p568 @p567) :args (@t3442)) % 1.61/1.80 (step @p570 :rule refl :args (@t2946)) % 1.61/1.80 (step @p571 :rule cong :premises (@p570 @p569) :args (@t3443)) % 1.61/1.80 (step @p572 :rule refl :args (@t2952)) % 1.61/1.80 (step @p573 :rule cong :premises (@p572 @p571) :args (@t3444)) % 1.61/1.80 (step @p574 :rule refl :args (@t2958)) % 1.61/1.80 (step @p575 :rule cong :premises (@p574 @p573) :args (@t3445)) % 1.61/1.80 (step @p576 :rule refl :args (@t2964)) % 1.61/1.80 (step @p577 :rule cong :premises (@p576 @p575) :args (@t3446)) % 1.61/1.80 (step @p578 :rule cong :premises (@p323 @p577) :args (@t3447)) % 1.61/1.80 (step @p579 :rule refl :args (@t2969)) % 1.61/1.80 (step @p580 :rule cong :premises (@p579 @p578) :args (@t3448)) % 1.61/1.80 (step @p581 :rule refl :args (@t2971)) % 1.61/1.80 (step @p582 :rule cong :premises (@p581 @p580) :args (@t3449)) % 1.61/1.80 (step @p583 :rule refl :args (@t2973)) % 1.61/1.80 (step @p584 :rule cong :premises (@p583 @p582) :args (@t3450)) % 1.61/1.80 (step @p585 :rule refl :args (@t2975)) % 1.61/1.80 (step @p586 :rule cong :premises (@p585 @p584) :args (@t3451)) % 1.61/1.80 (step @p587 :rule refl :args (@t2977)) % 1.61/1.80 (step @p588 :rule cong :premises (@p587 @p586) :args (@t3452)) % 1.61/1.80 (step @p589 :rule refl :args (@t2980)) % 1.61/1.80 (step @p590 :rule cong :premises (@p589 @p588) :args (@t3453)) % 1.61/1.80 (step @p591 :rule refl :args (@t2982)) % 1.61/1.80 (step @p592 :rule cong :premises (@p591 @p590) :args (@t3454)) % 1.61/1.80 (step @p593 :rule cong :premises (@p319 @p592) :args (@t3455)) % 1.61/1.80 (step @p594 :rule refl :args (@t2989)) % 1.61/1.80 (step @p595 :rule cong :premises (@p594 @p593) :args (@t3456)) % 1.61/1.80 (step @p596 :rule refl :args (@t2991)) % 1.61/1.80 (step @p597 :rule cong :premises (@p596 @p595) :args (@t3457)) % 1.61/1.80 (step @p598 :rule refl :args (@t2992)) % 1.61/1.80 (step @p599 :rule cong :premises (@p598 @p597) :args (@t3458)) % 1.61/1.80 (step @p600 :rule refl :args (@t2993)) % 1.61/1.80 (step @p601 :rule cong :premises (@p600 @p599) :args (@t3459)) % 1.61/1.80 (step @p602 :rule refl :args (@t2996)) % 1.61/1.80 (step @p603 :rule cong :premises (@p602 @p601) :args (@t3460)) % 1.61/1.80 (step @p604 :rule refl :args (@t3000)) % 1.61/1.80 (step @p605 :rule cong :premises (@p604 @p603) :args (@t3461)) % 1.61/1.80 (step @p606 :rule refl :args (@t3002)) % 1.61/1.80 (step @p607 :rule cong :premises (@p606 @p605) :args (@t3462)) % 1.61/1.80 (step @p608 :rule refl :args (@t3005)) % 1.61/1.80 (step @p609 :rule cong :premises (@p608 @p607) :args (@t3463)) % 1.61/1.80 (step @p610 :rule refl :args (@t3006)) % 1.61/1.80 (step @p611 :rule cong :premises (@p610 @p609) :args (@t3464)) % 1.61/1.80 (step @p612 :rule refl :args (@t3007)) % 1.61/1.80 (step @p613 :rule cong :premises (@p612 @p611) :args (@t3465)) % 1.61/1.80 (step @p614 :rule refl :args (@t3008)) % 1.61/1.80 (step @p615 :rule cong :premises (@p614 @p613) :args (@t3466)) % 1.61/1.80 (step @p616 :rule refl :args (@t3010)) % 1.61/1.80 (step @p617 :rule cong :premises (@p616 @p615) :args (@t3467)) % 1.61/1.80 (step @p618 :rule refl :args (@t3011)) % 1.61/1.80 (step @p619 :rule cong :premises (@p618 @p617) :args (@t3468)) % 1.61/1.80 (step @p620 :rule refl :args (@t3012)) % 1.61/1.80 (step @p621 :rule cong :premises (@p620 @p619) :args (@t3469)) % 1.61/1.80 (step @p622 :rule refl :args (@t3013)) % 1.61/1.80 (step @p623 :rule cong :premises (@p622 @p621) :args (@t3470)) % 1.61/1.80 (step @p624 :rule refl :args (@t3019)) % 1.61/1.80 (step @p625 :rule cong :premises (@p624 @p623) :args (@t3471)) % 1.61/1.80 (step @p626 :rule refl :args (@t3021)) % 1.61/1.80 (step @p627 :rule cong :premises (@p626 @p625) :args (@t3472)) % 1.61/1.80 (step @p628 :rule refl :args (@t3025)) % 1.61/1.80 (step @p629 :rule cong :premises (@p628 @p627) :args (@t3473)) % 1.61/1.80 (step @p630 :rule refl :args (@t3027)) % 1.61/1.80 (step @p631 :rule cong :premises (@p630 @p629) :args (@t3474)) % 1.61/1.80 (step @p632 :rule refl :args (@t3030)) % 1.61/1.80 (step @p633 :rule cong :premises (@p632 @p631) :args (@t3475)) % 1.61/1.80 (step @p634 :rule refl :args (@t3033)) % 1.61/1.80 (step @p635 :rule cong :premises (@p634 @p633) :args (@t3476)) % 1.61/1.80 (step @p636 :rule refl :args (@t3034)) % 1.61/1.80 (step @p637 :rule cong :premises (@p636 @p635) :args (@t3477)) % 1.61/1.80 (step @p638 :rule refl :args (@t3035)) % 1.61/1.80 (step @p639 :rule cong :premises (@p638 @p637) :args (@t3478)) % 1.61/1.80 (step @p640 :rule refl :args (@t3037)) % 1.61/1.80 (step @p641 :rule cong :premises (@p640 @p639) :args (@t3479)) % 1.61/1.80 (step @p642 :rule refl :args (@t3038)) % 1.61/1.80 (step @p643 :rule cong :premises (@p642 @p641) :args (@t3480)) % 1.61/1.80 (step @p644 :rule refl :args (@t3042)) % 1.61/1.80 (step @p645 :rule cong :premises (@p644 @p643) :args (@t3481)) % 1.61/1.80 (step @p646 :rule refl :args (@t3043)) % 1.61/1.80 (step @p647 :rule cong :premises (@p646 @p645) :args (@t3482)) % 1.61/1.80 (step @p648 :rule refl :args (@t3045)) % 1.61/1.80 (step @p649 :rule cong :premises (@p648 @p647) :args (@t3483)) % 1.61/1.80 (step @p650 :rule refl :args (@t3047)) % 1.61/1.80 (step @p651 :rule cong :premises (@p650 @p649) :args (@t3484)) % 1.61/1.80 (step @p652 :rule refl :args (@t3050)) % 1.61/1.80 (step @p653 :rule cong :premises (@p652 @p651) :args (@t3485)) % 1.61/1.80 (step @p654 :rule cong :premises (@p652 @p653) :args (@t3486)) % 1.61/1.80 (step @p655 :rule refl :args (@t3051)) % 1.61/1.80 (step @p656 :rule cong :premises (@p655 @p654) :args (@t3487)) % 1.61/1.80 (step @p657 :rule cong :premises (@p319 @p656) :args (@t3488)) % 1.61/1.80 (step @p658 :rule refl :args (@t3052)) % 1.61/1.80 (step @p659 :rule cong :premises (@p658 @p657) :args (@t3489)) % 1.61/1.80 (step @p660 :rule refl :args (@t3053)) % 1.61/1.80 (step @p661 :rule cong :premises (@p660 @p659) :args (@t3490)) % 1.61/1.80 (step @p662 :rule refl :args (@t3054)) % 1.61/1.80 (step @p663 :rule cong :premises (@p662 @p661) :args (@t3491)) % 1.61/1.80 (step @p664 :rule refl :args (@t3057)) % 1.61/1.80 (step @p665 :rule cong :premises (@p664 @p663) :args (@t3492)) % 1.61/1.80 (step @p666 :rule refl :args (@t3059)) % 1.61/1.80 (step @p667 :rule cong :premises (@p666 @p665) :args (@t3493)) % 1.61/1.80 (step @p668 :rule refl :args (@t3062)) % 1.61/1.80 (step @p669 :rule cong :premises (@p668 @p667) :args (@t3494)) % 1.61/1.80 (step @p670 :rule refl :args (@t3063)) % 1.61/1.80 (step @p671 :rule cong :premises (@p670 @p669) :args (@t3495)) % 1.61/1.80 (step @p672 :rule refl :args (@t3065)) % 1.61/1.80 (step @p673 :rule cong :premises (@p672 @p671) :args (@t3496)) % 1.61/1.80 (step @p674 :rule refl :args (@t3066)) % 1.61/1.80 (step @p675 :rule cong :premises (@p674 @p673) :args (@t3497)) % 1.61/1.80 (step @p676 :rule refl :args (@t3068)) % 1.61/1.80 (step @p677 :rule cong :premises (@p676 @p675) :args (@t3498)) % 1.61/1.80 (step @p678 :rule refl :args (@t3071)) % 1.61/1.80 (step @p679 :rule cong :premises (@p678 @p677) :args (@t3499)) % 1.61/1.80 (step @p680 :rule refl :args (@t3074)) % 1.61/1.80 (step @p681 :rule cong :premises (@p680 @p679) :args (@t3500)) % 1.61/1.80 (step @p682 :rule refl :args (@t3077)) % 1.61/1.80 (step @p683 :rule cong :premises (@p682 @p681) :args (@t3501)) % 1.61/1.80 (step @p684 :rule refl :args (@t3079)) % 1.61/1.80 (step @p685 :rule cong :premises (@p684 @p683) :args (@t3502)) % 1.61/1.80 (step @p686 :rule bool-impl-true2 :args (@t3502)) % 1.61/1.80 (step @p687 :rule trans :premises (@p686 @p685)) % 1.61/1.80 (step @p688 :rule refl :args (@t3081)) % 1.61/1.80 (step @p689 :rule cong :premises (@p688 @p687) :args (@t3503)) % 1.61/1.80 (step @p690 :rule refl :args (@t3082)) % 1.61/1.80 (step @p691 :rule cong :premises (@p690 @p689) :args (@t3504)) % 1.61/1.80 (step @p692 :rule refl :args (@t3083)) % 1.61/1.80 (step @p693 :rule cong :premises (@p692 @p691) :args (@t3505)) % 1.61/1.80 (step @p694 :rule refl :args (@t3084)) % 1.61/1.80 (step @p695 :rule cong :premises (@p694 @p693) :args (@t3506)) % 1.61/1.80 (step @p696 :rule refl :args (@t3086)) % 1.61/1.80 (step @p697 :rule cong :premises (@p696 @p695) :args (@t3507)) % 1.61/1.80 (step @p698 :rule refl :args (@t3089)) % 1.61/1.80 (step @p699 :rule cong :premises (@p698 @p697) :args (@t3508)) % 1.61/1.80 (step @p700 :rule cong :premises (@p688 @p699) :args (@t3509)) % 1.61/1.80 (step @p701 :rule cong :premises (@p688 @p700) :args (@t3510)) % 1.61/1.80 (step @p702 :rule cong :premises (@p698 @p701) :args (@t3511)) % 1.61/1.80 (step @p703 :rule refl :args (@t3100)) % 1.61/1.80 (step @p704 :rule cong :premises (@p703 @p702) :args (@t3512)) % 1.61/1.80 (step @p705 :rule refl :args (@t3113)) % 1.61/1.80 (step @p706 :rule cong :premises (@p705 @p704) :args (@t3513)) % 1.61/1.80 (step @p707 :rule refl :args (@t3122)) % 1.61/1.80 (step @p708 :rule cong :premises (@p707 @p706) :args (@t3514)) % 1.61/1.80 (step @p709 :rule bool-impl-true2 :args (@t3514)) % 1.61/1.80 (step @p710 :rule trans :premises (@p709 @p708)) % 1.61/1.80 (step @p711 :rule bool-impl-true2 :args (@t3514)) % 1.61/1.80 (step @p712 :rule cong :premises (@p440 @p711) :args (@t3515)) % 1.61/1.80 (step @p713 :rule trans :premises (@p712 @p710)) % 1.61/1.80 (step @p714 :rule cong :premises (@p440 @p711) :args (@t3515)) % 1.61/1.80 (step @p715 :rule cong :premises (@p440 @p714) :args (@t3516)) % 1.61/1.80 (step @p716 :rule trans :premises (@p715 @p713)) % 1.61/1.80 (step @p717 :rule cong :premises (@p440 @p714) :args (@t3516)) % 1.61/1.80 (step @p718 :rule cong :premises (@p440 @p717) :args (@t3517)) % 1.61/1.80 (step @p719 :rule trans :premises (@p718 @p716)) % 1.61/1.80 (step @p720 :rule cong :premises (@p440 @p717) :args (@t3517)) % 1.61/1.80 (step @p721 :rule cong :premises (@p440 @p720) :args (@t3518)) % 1.61/1.80 (step @p722 :rule trans :premises (@p721 @p719)) % 1.61/1.80 (step @p723 :rule refl :args (@t3132)) % 1.61/1.80 (step @p724 :rule cong :premises (@p723 @p722) :args (@t3519)) % 1.61/1.80 (step @p725 :rule cong :premises (@p707 @p724) :args (@t3520)) % 1.61/1.80 (step @p726 :rule bool-impl-true2 :args (@t3520)) % 1.61/1.80 (step @p727 :rule trans :premises (@p726 @p725)) % 1.61/1.80 (step @p728 :rule bool-impl-true2 :args (@t3520)) % 1.61/1.80 (step @p729 :rule cong :premises (@p440 @p728) :args (@t3521)) % 1.61/1.80 (step @p730 :rule trans :premises (@p729 @p727)) % 1.61/1.80 (step @p731 :rule refl :args (@t3135)) % 1.61/1.80 (step @p732 :rule cong :premises (@p731 @p730) :args (@t3522)) % 1.61/1.80 (step @p733 :rule refl :args (@t3141)) % 1.61/1.80 (step @p734 :rule cong :premises (@p733 @p732) :args (@t3523)) % 1.61/1.80 (step @p735 :rule bool-impl-true2 :args (@t3523)) % 1.61/1.80 (step @p736 :rule trans :premises (@p735 @p734)) % 1.61/1.80 (step @p737 :rule bool-impl-true2 :args (@t3523)) % 1.61/1.80 (step @p738 :rule cong :premises (@p440 @p737) :args (@t3524)) % 1.61/1.80 (step @p739 :rule trans :premises (@p738 @p736)) % 1.61/1.80 (step @p740 :rule cong :premises (@p440 @p737) :args (@t3524)) % 1.61/1.80 (step @p741 :rule cong :premises (@p440 @p740) :args (@t3525)) % 1.61/1.80 (step @p742 :rule trans :premises (@p741 @p739)) % 1.61/1.80 (step @p743 :rule refl :args (@t3144)) % 1.61/1.80 (step @p744 :rule cong :premises (@p743 @p742) :args (@t3526)) % 1.61/1.80 (step @p745 :rule refl :args (@t3146)) % 1.61/1.80 (step @p746 :rule cong :premises (@p745 @p744) :args (@t3527)) % 1.61/1.80 (step @p747 :rule bool-impl-true2 :args (@t3527)) % 1.61/1.80 (step @p748 :rule trans :premises (@p747 @p746)) % 1.61/1.80 (step @p749 :rule bool-impl-true2 :args (@t3527)) % 1.61/1.80 (step @p750 :rule cong :premises (@p440 @p749) :args (@t3528)) % 1.61/1.80 (step @p751 :rule trans :premises (@p750 @p748)) % 1.61/1.80 (step @p752 :rule cong :premises (@p440 @p749) :args (@t3528)) % 1.61/1.80 (step @p753 :rule cong :premises (@p440 @p752) :args (@t3529)) % 1.61/1.80 (step @p754 :rule trans :premises (@p753 @p751)) % 1.61/1.80 (step @p755 :rule cong :premises (@p440 @p752) :args (@t3529)) % 1.61/1.80 (step @p756 :rule cong :premises (@p440 @p755) :args (@t3530)) % 1.61/1.80 (step @p757 :rule trans :premises (@p756 @p754)) % 1.61/1.80 (step @p758 :rule cong :premises (@p315 @p757) :args (@t3531)) % 1.61/1.80 (step @p759 :rule cong :premises (@p317 @p758) :args (@t3532)) % 1.61/1.80 (step @p760 :rule cong :premises (@p319 @p759) :args (@t3533)) % 1.61/1.80 (step @p761 :rule cong :premises (@p321 @p760) :args (@t3534)) % 1.61/1.80 (step @p762 :rule cong :premises (@p323 @p761) :args (@t3535)) % 1.61/1.80 (step @p763 :rule cong :premises (@p325 @p762) :args (@t3536)) % 1.61/1.80 (step @p764 :rule cong :premises (@p327 @p763) :args (@t3537)) % 1.61/1.80 (step @p765 :rule cong :premises (@p329 @p764) :args (@t3538)) % 1.61/1.80 (step @p766 :rule cong :premises (@p331 @p765) :args (@t3539)) % 1.61/1.80 (step @p767 :rule cong :premises (@p333 @p766) :args (@t3540)) % 1.61/1.80 (step @p768 :rule cong :premises (@p335 @p767) :args (@t3541)) % 1.61/1.80 (step @p769 :rule cong :premises (@p337 @p768) :args (@t3542)) % 1.61/1.80 (step @p770 :rule cong :premises (@p339 @p769) :args (@t3543)) % 1.61/1.80 (step @p771 :rule cong :premises (@p341 @p770) :args (@t3544)) % 1.61/1.80 (step @p772 :rule cong :premises (@p343 @p771) :args (@t3545)) % 1.61/1.80 (step @p773 :rule cong :premises (@p345 @p772) :args (@t3546)) % 1.61/1.80 (step @p774 :rule cong :premises (@p345 @p773) :args (@t3547)) % 1.61/1.80 (step @p775 :rule cong :premises (@p348 @p774) :args (@t3548)) % 1.61/1.80 (step @p776 :rule cong :premises (@p350 @p775) :args (@t3549)) % 1.61/1.80 (step @p777 :rule cong :premises (@p352 @p776) :args (@t3550)) % 1.61/1.80 (step @p778 :rule cong :premises (@p352 @p777) :args (@t3551)) % 1.61/1.80 (step @p779 :rule cong :premises (@p355 @p778) :args (@t3552)) % 1.61/1.80 (step @p780 :rule refl :args (@t221)) % 1.61/1.80 (step @p781 :rule cong :premises (@p780 @p779) :args (@t3553)) % 1.61/1.80 (step @p782 :rule cong :premises (@p376 @p781) :args (@t3554)) % 1.61/1.80 (step @p783 :rule cong :premises (@p378 @p782) :args (@t3555)) % 1.61/1.80 (step @p784 :rule cong :premises (@p380 @p783) :args (@t3556)) % 1.61/1.80 (step @p785 :rule cong :premises (@p333 @p784) :args (@t3557)) % 1.61/1.80 (step @p786 :rule cong :premises (@p383 @p785) :args (@t3558)) % 1.61/1.80 (step @p787 :rule cong :premises (@p385 @p786) :args (@t3559)) % 1.61/1.80 (step @p788 :rule cong :premises (@p385 @p787) :args (@t3560)) % 1.61/1.80 (step @p789 :rule cong :premises (@p388 @p788) :args (@t3561)) % 1.61/1.80 (step @p790 :rule cong :premises (@p390 @p789) :args (@t3562)) % 1.61/1.80 (step @p791 :rule cong :premises (@p392 @p790) :args (@t3563)) % 1.61/1.80 (step @p792 :rule cong :premises (@p392 @p791) :args (@t3564)) % 1.61/1.80 (step @p793 :rule cong :premises (@p392 @p792) :args (@t3565)) % 1.61/1.80 (step @p794 :rule cong :premises (@p396 @p793) :args (@t3566)) % 1.61/1.80 (step @p795 :rule bool-impl-true2 :args (@t3566)) % 1.61/1.80 (step @p796 :rule trans :premises (@p795 @p794)) % 1.61/1.80 (step @p797 :rule cong :premises (@p398 @p796) :args (@t3567)) % 1.61/1.80 (step @p798 :rule cong :premises (@p400 @p797) :args (@t3568)) % 1.61/1.80 (step @p799 :rule cong :premises (@p402 @p798) :args (@t3569)) % 1.61/1.80 (step @p800 :rule cong :premises (@p404 @p799) :args (@t3570)) % 1.61/1.80 (step @p801 :rule cong :premises (@p406 @p800) :args (@t3571)) % 1.61/1.80 (step @p802 :rule cong :premises (@p408 @p801) :args (@t3572)) % 1.61/1.80 (step @p803 :rule cong :premises (@p410 @p802) :args (@t3573)) % 1.61/1.80 (step @p804 :rule cong :premises (@p412 @p803) :args (@t3574)) % 1.61/1.80 (step @p805 :rule cong :premises (@p414 @p804) :args (@t3575)) % 1.61/1.80 (step @p806 :rule refl :args (@t50)) % 1.61/1.80 (step @p807 :rule cong :premises (@p806 @p805) :args (@t3576)) % 1.61/1.80 (step @p808 :rule cong :premises (@p422 @p807) :args (@t3577)) % 1.61/1.80 (step @p809 :rule cong :premises (@p424 @p808) :args (@t3578)) % 1.61/1.80 (step @p810 :rule cong :premises (@p426 @p809) :args (@t3579)) % 1.61/1.80 (step @p811 :rule cong :premises (@p392 @p810) :args (@t3580)) % 1.61/1.80 (step @p812 :rule cong :premises (@p429 @p811) :args (@t3581)) % 1.61/1.80 (step @p813 :rule cong :premises (@p812) :args ((not @t3581))) % 1.61/1.80 (step @p814 :rule refl :args (@t2041)) % 1.61/1.80 (step @p815 :rule aci_norm :args ((= @t3583 @t2051))) % 1.61/1.80 (step @p816 :rule cong :premises (@p815) :args (@t3584)) % 1.61/1.80 (step @p817 :rule quant-merge-prenex :args ((= (forall @t1560 @t3586) @t3584))) % 1.61/1.80 (step @p818 :rule alpha_equiv :args (@t3587 (@list @t2042 @t2044 @t2043) (@list @t993 @t3589 @t3588))) % 1.61/1.80 (step @p819 :rule refl :args (@t2038)) % 1.61/1.80 (step @p820 :rule nary_cong :premises (@p819 @p818) :args (@t3590)) % 1.61/1.80 (step @p821 :rule quant-miniscope-or :args ((= @t3586 @t3590))) % 1.61/1.80 (step @p822 :rule trans :premises (@p821 @p820)) % 1.61/1.80 (step @p823 :rule symm :premises (@p822)) % 1.61/1.80 (step @p824 :rule cong :premises (@p823) :args ((forall @t1560 (or @t2038 @t3601)))) % 1.61/1.80 (step @p825 :rule trans :premises (@p824 @p817)) % 1.61/1.80 (step @p826 :rule trans :premises (@p825 @p816)) % 1.61/1.80 (step @p827 :rule refl :args (@t3601)) % 1.61/1.80 (step @p828 :rule refl :args (@t2037)) % 1.61/1.80 (step @p829 :rule refl :args (@t1558)) % 1.61/1.80 (step @p830 :rule cong :premises (@p829 @p828) :args ((= @t1558 @t2037))) % 1.61/1.80 (step @p831 :rule symm :premises (@p830)) % 1.61/1.80 (step @p832 :rule eq_resolve :premises (@p829 @p831)) % 1.61/1.80 (step @p833 :rule cong :premises (@p832) :args (@t3602)) % 1.61/1.80 (step @p834 :rule nary_cong :premises (@p833 @p827) :args (@t3603)) % 1.61/1.80 (step @p835 :rule cong :premises (@p834) :args ((forall @t1560 @t3603))) % 1.61/1.80 (step @p836 :rule trans :premises (@p835 @p826)) % 1.61/1.80 (step @p837 :rule bool-impl-elim :args (@t1558 @t3601)) % 1.61/1.80 (step @p838 :rule cong :premises (@p837) :args ((forall @t1560 (=> @t1558 @t3601)))) % 1.61/1.80 (step @p839 :rule trans :premises (@p838 @p836)) % 1.61/1.80 (step @p840 :rule aci_norm :args ((= @t3605 @t3599))) % 1.61/1.80 (step @p841 :rule cong :premises (@p840) :args (@t3606)) % 1.61/1.80 (step @p842 :rule quant-merge-prenex :args ((= (forall @t1003 @t3608) @t3606))) % 1.61/1.80 (step @p843 :rule alpha_equiv :args (@t3609 (@list @t3589 @t3588) (@list @t4 @t3610))) % 1.61/1.80 (step @p844 :rule refl :args (@t3598)) % 1.61/1.80 (step @p845 :rule nary_cong :premises (@p844 @p843) :args (@t3611)) % 1.61/1.80 (step @p846 :rule quant-miniscope-or :args ((= @t3608 @t3611))) % 1.61/1.80 (step @p847 :rule trans :premises (@p846 @p845)) % 1.61/1.80 (step @p848 :rule symm :premises (@p847)) % 1.61/1.80 (step @p849 :rule cong :premises (@p848) :args ((forall @t1003 (or @t3598 @t3618)))) % 1.61/1.80 (step @p850 :rule trans :premises (@p849 @p842)) % 1.61/1.80 (step @p851 :rule trans :premises (@p850 @p841)) % 1.61/1.80 (step @p852 :rule refl :args (@t3618)) % 1.61/1.80 (step @p853 :rule refl :args (@t3597)) % 1.61/1.80 (step @p854 :rule refl :args (@t1603)) % 1.61/1.80 (step @p855 :rule cong :premises (@p854 @p853) :args ((= @t1603 @t3597))) % 1.61/1.80 (step @p856 :rule symm :premises (@p855)) % 1.61/1.80 (step @p857 :rule eq_resolve :premises (@p854 @p856)) % 1.61/1.80 (step @p858 :rule cong :premises (@p857) :args (@t3619)) % 1.61/1.80 (step @p859 :rule nary_cong :premises (@p858 @p852) :args (@t3620)) % 1.61/1.80 (step @p860 :rule cong :premises (@p859) :args ((forall @t1003 @t3620))) % 1.61/1.80 (step @p861 :rule trans :premises (@p860 @p851)) % 1.61/1.80 (step @p862 :rule bool-impl-elim :args (@t1603 @t3618)) % 1.61/1.80 (step @p863 :rule cong :premises (@p862) :args ((forall @t1003 (=> @t1603 @t3618)))) % 1.61/1.80 (step @p864 :rule trans :premises (@p863 @p861)) % 1.61/1.80 (step @p865 :rule aci_norm :args ((= @t3622 @t3616))) % 1.61/1.80 (step @p866 :rule cong :premises (@p865) :args (@t3623)) % 1.61/1.80 (step @p867 :rule quant-merge-prenex :args ((= (forall @t9 @t3625) @t3623))) % 1.61/1.80 (step @p868 :rule alpha_equiv :args (@t3626 (@list @t3610) @t3627)) % 1.61/1.80 (step @p869 :rule refl :args (@t2125)) % 1.61/1.80 (step @p870 :rule nary_cong :premises (@p869 @p868) :args (@t3628)) % 1.61/1.80 (step @p871 :rule quant-miniscope-or :args ((= @t3625 @t3628))) % 1.61/1.80 (step @p872 :rule trans :premises (@p871 @p870)) % 1.61/1.80 (step @p873 :rule symm :premises (@p872)) % 1.61/1.80 (step @p874 :rule cong :premises (@p873) :args ((forall @t9 (or @t2125 @t3632)))) % 1.61/1.80 (step @p875 :rule trans :premises (@p874 @p867)) % 1.61/1.80 (step @p876 :rule trans :premises (@p875 @p866)) % 1.61/1.80 (step @p877 :rule refl :args (@t3632)) % 1.61/1.80 (step @p878 :rule refl :args (@t2124)) % 1.61/1.80 (step @p879 :rule refl :args (@t7)) % 1.61/1.80 (step @p880 :rule cong :premises (@p879 @p878) :args ((= @t7 @t2124))) % 1.61/1.80 (step @p881 :rule symm :premises (@p880)) % 1.61/1.80 (step @p882 :rule eq_resolve :premises (@p879 @p881)) % 1.61/1.80 (step @p883 :rule cong :premises (@p882) :args (@t197)) % 1.61/1.80 (step @p884 :rule nary_cong :premises (@p883 @p877) :args (@t3633)) % 1.61/1.80 (step @p885 :rule cong :premises (@p884) :args ((forall @t9 @t3633))) % 1.61/1.80 (step @p886 :rule trans :premises (@p885 @p876)) % 1.61/1.80 (step @p887 :rule bool-impl-elim :args (@t7 @t3632)) % 1.61/1.80 (step @p888 :rule cong :premises (@p887) :args ((forall @t9 (=> @t7 @t3632)))) % 1.61/1.80 (step @p889 :rule trans :premises (@p888 @p886)) % 1.61/1.80 (step @p890 :rule refl :args ((tptp.in @t633 @t1690))) % 1.61/1.80 (step @p891 :rule refl :args (@t3591)) % 1.61/1.80 (step @p892 :rule refl :args (@t2768)) % 1.61/1.80 (step @p893 :rule cong :premises (@p892 @p891) :args (@t3629)) % 1.61/1.80 (step @p894 :rule trans :premises (@p893 @p890)) % 1.61/1.80 (step @p895 :rule refl :args (tptp.in)) % 1.61/1.80 (step @p896 :rule ho_cong :premises (@p895 @p892)) % 1.61/1.80 (step @p897 :rule ho_cong :premises (@p896 @p891)) % 1.61/1.80 (step @p898 :rule cong :premises (@p897 @p894) :args ((= (_ @t3634 @t3591) @t3629))) % 1.61/1.80 (step @p899 :rule symm :premises (@p898)) % 1.61/1.80 (step @p900 :rule refl :args (@t1696)) % 1.61/1.80 (step @p901 :rule eq_resolve :premises (@p900 @p899)) % 1.61/1.80 (step @p902 :rule refl :args (@t1690)) % 1.61/1.80 (step @p903 :rule cong :premises (@p902 @p891) :args ((= @t1690 @t3591))) % 1.61/1.80 (step @p904 :rule symm :premises (@p903)) % 1.61/1.80 (step @p905 :rule eq_resolve :premises (@p902 @p904)) % 1.61/1.80 (step @p906 :rule refl :args (@t633)) % 1.61/1.80 (step @p907 :rule cong :premises (@p906 @p892) :args ((= @t633 @t2768))) % 1.61/1.80 (step @p908 :rule symm :premises (@p907)) % 1.61/1.80 (step @p909 :rule eq_resolve :premises (@p906 @p908)) % 1.61/1.80 (step @p910 :rule ho_cong :premises (@p895 @p909)) % 1.61/1.80 (step @p911 :rule ho_cong :premises (@p910 @p905)) % 1.61/1.80 (step @p912 :rule trans :premises (@p911 @p901)) % 1.61/1.80 (step @p913 :rule refl :args ((tptp.in @t633 @t993))) % 1.61/1.80 (step @p914 :rule refl :args (@t993)) % 1.61/1.80 (step @p915 :rule cong :premises (@p892 @p914) :args (@t3630)) % 1.61/1.80 (step @p916 :rule trans :premises (@p915 @p913)) % 1.61/1.80 (step @p917 :rule ho_cong :premises (@p896 @p914)) % 1.61/1.80 (step @p918 :rule cong :premises (@p917 @p916) :args ((= (_ @t3634 @t993) @t3630))) % 1.61/1.80 (step @p919 :rule symm :premises (@p918)) % 1.61/1.80 (step @p920 :rule refl :args (@t995)) % 1.61/1.80 (step @p921 :rule eq_resolve :premises (@p920 @p919)) % 1.61/1.80 (step @p922 :rule ho_cong :premises (@p910 @p914)) % 1.61/1.80 (step @p923 :rule trans :premises (@p922 @p921)) % 1.61/1.80 (step @p924 :rule cong :premises (@p923) :args (@t3635)) % 1.61/1.80 (step @p925 :rule refl :args (@t2888)) % 1.61/1.80 (step @p926 :rule refl :args (@t21)) % 1.61/1.80 (step @p927 :rule cong :premises (@p926 @p925) :args ((= @t21 @t2888))) % 1.61/1.80 (step @p928 :rule symm :premises (@p927)) % 1.61/1.80 (step @p929 :rule eq_resolve :premises (@p926 @p928)) % 1.61/1.80 (step @p930 :rule cong :premises (@p929) :args (@t3636)) % 1.61/1.80 (step @p931 :rule nary_cong :premises (@p930 @p924 @p912) :args (@t3637)) % 1.61/1.80 (step @p932 :rule cong :premises (@p931) :args ((forall @t70 @t3637))) % 1.61/1.80 (step @p933 :rule aci_norm :args ((= (or @t3636 (or @t3635 @t1696)) @t3637))) % 1.61/1.80 (step @p934 :rule bool-impl-elim :args (@t995 @t1696)) % 1.61/1.80 (step @p935 :rule refl :args (@t3636)) % 1.61/1.80 (step @p936 :rule nary_cong :premises (@p935 @p934) :args ((or @t3636 @t1706))) % 1.61/1.80 (step @p937 :rule trans :premises (@p936 @p933)) % 1.61/1.80 (step @p938 :rule bool-impl-elim :args (@t21 @t1706)) % 1.61/1.80 (step @p939 :rule trans :premises (@p938 @p937)) % 1.61/1.80 (step @p940 :rule cong :premises (@p939) :args (@t1707)) % 1.61/1.80 (step @p941 :rule trans :premises (@p940 @p932)) % 1.61/1.80 (step @p942 :rule refl :args (@t7)) % 1.61/1.80 (step @p943 :rule cong :premises (@p942 @p941) :args (@t1708)) % 1.61/1.80 (step @p944 :rule cong :premises (@p943) :args (@t1709)) % 1.61/1.80 (step @p945 :rule trans :premises (@p944 @p889)) % 1.61/1.80 (step @p946 :rule refl :args (@t1603)) % 1.61/1.80 (step @p947 :rule cong :premises (@p946 @p945) :args (@t1710)) % 1.61/1.80 (step @p948 :rule cong :premises (@p947) :args (@t1711)) % 1.61/1.80 (step @p949 :rule trans :premises (@p948 @p864)) % 1.61/1.80 (step @p950 :rule refl :args (@t1558)) % 1.61/1.80 (step @p951 :rule cong :premises (@p950 @p949) :args (@t1712)) % 1.61/1.80 (step @p952 :rule cong :premises (@p951) :args (@t1713)) % 1.61/1.80 (step @p953 :rule trans :premises (@p952 @p839)) % 1.61/1.80 (step @p954 :rule refl :args (tptp.breln1unionIR)) % 1.61/1.80 (step @p955 :rule cong :premises (@p954 @p953) :args (@t1714)) % 1.61/1.80 (step @p956 :rule eq_resolve :premises (@p301 @p955)) % 1.61/1.80 (step @p957 :rule cong :premises (@p956 @p814) :args (@t3638)) % 1.61/1.80 (step @p958 :rule aci_norm :args ((= @t3640 @t2062))) % 1.61/1.80 (step @p959 :rule cong :premises (@p958) :args (@t3641)) % 1.61/1.80 (step @p960 :rule quant-merge-prenex :args ((= (forall @t1560 @t3643) @t3641))) % 1.61/1.80 (step @p961 :rule alpha_equiv :args (@t3644 (@list @t2053 @t2055 @t2054) (@list @t993 @t3646 @t3645))) % 1.61/1.80 (step @p962 :rule nary_cong :premises (@p819 @p961) :args (@t3647)) % 1.61/1.80 (step @p963 :rule quant-miniscope-or :args ((= @t3643 @t3647))) % 1.61/1.80 (step @p964 :rule trans :premises (@p963 @p962)) % 1.61/1.80 (step @p965 :rule symm :premises (@p964)) % 1.61/1.80 (step @p966 :rule cong :premises (@p965) :args ((forall @t1560 (or @t2038 @t3655)))) % 1.61/1.80 (step @p967 :rule trans :premises (@p966 @p960)) % 1.61/1.80 (step @p968 :rule trans :premises (@p967 @p959)) % 1.61/1.80 (step @p969 :rule refl :args (@t3655)) % 1.61/1.80 (step @p970 :rule nary_cong :premises (@p833 @p969) :args (@t3656)) % 1.61/1.80 (step @p971 :rule cong :premises (@p970) :args ((forall @t1560 @t3656))) % 1.61/1.80 (step @p972 :rule trans :premises (@p971 @p968)) % 1.61/1.80 (step @p973 :rule bool-impl-elim :args (@t1558 @t3655)) % 1.61/1.80 (step @p974 :rule cong :premises (@p973) :args ((forall @t1560 (=> @t1558 @t3655)))) % 1.61/1.80 (step @p975 :rule trans :premises (@p974 @p972)) % 1.61/1.80 (step @p976 :rule aci_norm :args ((= @t3658 @t3653))) % 1.61/1.80 (step @p977 :rule cong :premises (@p976) :args (@t3659)) % 1.61/1.80 (step @p978 :rule quant-merge-prenex :args ((= (forall @t1003 @t3661) @t3659))) % 1.61/1.80 (step @p979 :rule alpha_equiv :args (@t3662 (@list @t3646 @t3645) (@list @t4 @t3663))) % 1.61/1.80 (step @p980 :rule nary_cong :premises (@p844 @p979) :args (@t3664)) % 1.61/1.80 (step @p981 :rule quant-miniscope-or :args ((= @t3661 @t3664))) % 1.61/1.80 (step @p982 :rule trans :premises (@p981 @p980)) % 1.61/1.80 (step @p983 :rule symm :premises (@p982)) % 1.61/1.80 (step @p984 :rule cong :premises (@p983) :args ((forall @t1003 (or @t3598 @t3671)))) % 1.61/1.80 (step @p985 :rule trans :premises (@p984 @p978)) % 1.61/1.80 (step @p986 :rule trans :premises (@p985 @p977)) % 1.61/1.80 (step @p987 :rule refl :args (@t3671)) % 1.61/1.80 (step @p988 :rule nary_cong :premises (@p858 @p987) :args (@t3672)) % 1.61/1.80 (step @p989 :rule cong :premises (@p988) :args ((forall @t1003 @t3672))) % 1.61/1.80 (step @p990 :rule trans :premises (@p989 @p986)) % 1.61/1.80 (step @p991 :rule bool-impl-elim :args (@t1603 @t3671)) % 1.61/1.80 (step @p992 :rule cong :premises (@p991) :args ((forall @t1003 (=> @t1603 @t3671)))) % 1.61/1.80 (step @p993 :rule trans :premises (@p992 @p990)) % 1.61/1.80 (step @p994 :rule aci_norm :args ((= @t3674 @t3669))) % 1.61/1.80 (step @p995 :rule cong :premises (@p994) :args (@t3675)) % 1.61/1.80 (step @p996 :rule quant-merge-prenex :args ((= (forall @t9 @t3677) @t3675))) % 1.61/1.80 (step @p997 :rule alpha_equiv :args (@t3678 (@list @t3663) @t3627)) % 1.61/1.80 (step @p998 :rule nary_cong :premises (@p869 @p997) :args (@t3679)) % 1.61/1.80 (step @p999 :rule quant-miniscope-or :args ((= @t3677 @t3679))) % 1.61/1.80 (step @p1000 :rule trans :premises (@p999 @p998)) % 1.61/1.80 (step @p1001 :rule symm :premises (@p1000)) % 1.61/1.80 (step @p1002 :rule cong :premises (@p1001) :args ((forall @t9 (or @t2125 @t3682)))) % 1.61/1.80 (step @p1003 :rule trans :premises (@p1002 @p996)) % 1.61/1.80 (step @p1004 :rule trans :premises (@p1003 @p995)) % 1.61/1.80 (step @p1005 :rule refl :args (@t3682)) % 1.61/1.80 (step @p1006 :rule nary_cong :premises (@p883 @p1005) :args (@t3683)) % 1.61/1.80 (step @p1007 :rule cong :premises (@p1006) :args ((forall @t9 @t3683))) % 1.61/1.80 (step @p1008 :rule trans :premises (@p1007 @p1004)) % 1.61/1.80 (step @p1009 :rule bool-impl-elim :args (@t7 @t3682)) % 1.61/1.80 (step @p1010 :rule cong :premises (@p1009) :args ((forall @t9 (=> @t7 @t3682)))) % 1.61/1.80 (step @p1011 :rule trans :premises (@p1010 @p1008)) % 1.61/1.80 (step @p1012 :rule refl :args ((tptp.in @t633 @t937))) % 1.61/1.80 (step @p1013 :rule refl :args (@t937)) % 1.61/1.80 (step @p1014 :rule cong :premises (@p892 @p1013) :args (@t3680)) % 1.61/1.80 (step @p1015 :rule trans :premises (@p1014 @p1012)) % 1.61/1.80 (step @p1016 :rule ho_cong :premises (@p896 @p1013)) % 1.61/1.80 (step @p1017 :rule cong :premises (@p1016 @p1015) :args ((= (_ @t3634 @t937) @t3680))) % 1.61/1.80 (step @p1018 :rule symm :premises (@p1017)) % 1.61/1.80 (step @p1019 :rule refl :args (@t941)) % 1.61/1.80 (step @p1020 :rule eq_resolve :premises (@p1019 @p1018)) % 1.61/1.80 (step @p1021 :rule ho_cong :premises (@p910 @p1013)) % 1.61/1.80 (step @p1022 :rule trans :premises (@p1021 @p1020)) % 1.61/1.80 (step @p1023 :rule cong :premises (@p1022) :args (@t3684)) % 1.61/1.80 (step @p1024 :rule nary_cong :premises (@p930 @p1023 @p912) :args (@t3685)) % 1.61/1.80 (step @p1025 :rule cong :premises (@p1024) :args ((forall @t70 @t3685))) % 1.61/1.80 (step @p1026 :rule aci_norm :args ((= (or @t3636 (or @t3684 @t1696)) @t3685))) % 1.61/1.80 (step @p1027 :rule bool-impl-elim :args (@t941 @t1696)) % 1.61/1.80 (step @p1028 :rule nary_cong :premises (@p935 @p1027) :args ((or @t3636 @t1697))) % 1.61/1.80 (step @p1029 :rule trans :premises (@p1028 @p1026)) % 1.61/1.80 (step @p1030 :rule bool-impl-elim :args (@t21 @t1697)) % 1.61/1.80 (step @p1031 :rule trans :premises (@p1030 @p1029)) % 1.61/1.80 (step @p1032 :rule cong :premises (@p1031) :args (@t1698)) % 1.61/1.80 (step @p1033 :rule trans :premises (@p1032 @p1025)) % 1.61/1.80 (step @p1034 :rule cong :premises (@p942 @p1033) :args (@t1699)) % 1.61/1.80 (step @p1035 :rule cong :premises (@p1034) :args (@t1700)) % 1.61/1.80 (step @p1036 :rule trans :premises (@p1035 @p1011)) % 1.61/1.80 (step @p1037 :rule cong :premises (@p946 @p1036) :args (@t1701)) % 1.61/1.80 (step @p1038 :rule cong :premises (@p1037) :args (@t1702)) % 1.61/1.80 (step @p1039 :rule trans :premises (@p1038 @p993)) % 1.61/1.80 (step @p1040 :rule cong :premises (@p950 @p1039) :args (@t1703)) % 1.61/1.80 (step @p1041 :rule cong :premises (@p1040) :args (@t1704)) % 1.61/1.80 (step @p1042 :rule trans :premises (@p1041 @p975)) % 1.61/1.80 (step @p1043 :rule refl :args (tptp.breln1unionIL)) % 1.61/1.80 (step @p1044 :rule cong :premises (@p1043 @p1042) :args (@t1705)) % 1.61/1.80 (step @p1045 :rule eq_resolve :premises (@p300 @p1044)) % 1.61/1.80 (step @p1046 :rule cong :premises (@p1045 @p957) :args (@t3686)) % 1.61/1.80 (step @p1047 :rule aci_norm :args ((= @t3688 @t2067))) % 1.61/1.80 (step @p1048 :rule cong :premises (@p1047) :args (@t3689)) % 1.61/1.80 (step @p1049 :rule quant-merge-prenex :args ((= (forall @t1560 @t3691) @t3689))) % 1.61/1.80 (step @p1050 :rule alpha_equiv :args (@t3692 (@list @t2064) @t3693)) % 1.61/1.80 (step @p1051 :rule nary_cong :premises (@p819 @p1050) :args (@t3694)) % 1.61/1.80 (step @p1052 :rule quant-miniscope-or :args ((= @t3691 @t3694))) % 1.61/1.80 (step @p1053 :rule trans :premises (@p1052 @p1051)) % 1.61/1.80 (step @p1054 :rule symm :premises (@p1053)) % 1.61/1.80 (step @p1055 :rule cong :premises (@p1054) :args ((forall @t1560 (or @t2038 @t3696)))) % 1.61/1.80 (step @p1056 :rule trans :premises (@p1055 @p1049)) % 1.61/1.80 (step @p1057 :rule trans :premises (@p1056 @p1048)) % 1.61/1.80 (step @p1058 :rule refl :args (@t3696)) % 1.61/1.80 (step @p1059 :rule nary_cong :premises (@p833 @p1058) :args (@t3697)) % 1.61/1.80 (step @p1060 :rule cong :premises (@p1059) :args ((forall @t1560 @t3697))) % 1.61/1.80 (step @p1061 :rule trans :premises (@p1060 @p1057)) % 1.61/1.80 (step @p1062 :rule bool-impl-elim :args (@t1558 @t3696)) % 1.61/1.80 (step @p1063 :rule cong :premises (@p1062) :args ((forall @t1560 (=> @t1558 @t3696)))) % 1.61/1.80 (step @p1064 :rule trans :premises (@p1063 @p1061)) % 1.61/1.80 (step @p1065 :rule refl :args ((tptp.breln1 @t2 @t1690))) % 1.61/1.80 (step @p1066 :rule refl :args (@t2)) % 1.61/1.80 (step @p1067 :rule cong :premises (@p1066 @p891) :args (@t3695)) % 1.61/1.80 (step @p1068 :rule trans :premises (@p1067 @p1065)) % 1.61/1.80 (step @p1069 :rule refl :args (@t1557)) % 1.61/1.80 (step @p1070 :rule ho_cong :premises (@p1069 @p891)) % 1.61/1.80 (step @p1071 :rule cong :premises (@p1070 @p1068) :args ((= (_ @t1557 @t3591) @t3695))) % 1.61/1.80 (step @p1072 :rule symm :premises (@p1071)) % 1.61/1.80 (step @p1073 :rule refl :args (@t1691)) % 1.61/1.80 (step @p1074 :rule eq_resolve :premises (@p1073 @p1072)) % 1.61/1.80 (step @p1075 :rule ho_cong :premises (@p1069 @p905)) % 1.61/1.80 (step @p1076 :rule trans :premises (@p1075 @p1074)) % 1.61/1.80 (step @p1077 :rule nary_cong :premises (@p858 @p1076) :args (@t3698)) % 1.61/1.80 (step @p1078 :rule cong :premises (@p1077) :args ((forall @t1003 @t3698))) % 1.61/1.80 (step @p1079 :rule bool-impl-elim :args (@t1603 @t1691)) % 1.61/1.80 (step @p1080 :rule cong :premises (@p1079) :args (@t1692)) % 1.61/1.80 (step @p1081 :rule trans :premises (@p1080 @p1078)) % 1.61/1.80 (step @p1082 :rule cong :premises (@p950 @p1081) :args (@t1693)) % 1.61/1.80 (step @p1083 :rule cong :premises (@p1082) :args (@t1694)) % 1.61/1.80 (step @p1084 :rule trans :premises (@p1083 @p1064)) % 1.61/1.80 (step @p1085 :rule refl :args (tptp.breln1unionprop)) % 1.61/1.80 (step @p1086 :rule cong :premises (@p1085 @p1084) :args (@t1695)) % 1.61/1.80 (step @p1087 :rule eq_resolve :premises (@p299 @p1086)) % 1.61/1.80 (step @p1088 :rule cong :premises (@p1087 @p1046) :args (@t3699)) % 1.61/1.80 (step @p1089 :rule aci_norm :args ((= @t3701 @t2079))) % 1.61/1.80 (step @p1090 :rule cong :premises (@p1089) :args (@t3702)) % 1.61/1.80 (step @p1091 :rule quant-merge-prenex :args ((= (forall @t1560 @t3704) @t3702))) % 1.61/1.80 (step @p1092 :rule alpha_equiv :args (@t3705 (@list @t2069 @t2071 @t2070) (@list @t993 @t3707 @t3706))) % 1.61/1.80 (step @p1093 :rule nary_cong :premises (@p819 @p1092) :args (@t3708)) % 1.61/1.80 (step @p1094 :rule quant-miniscope-or :args ((= @t3704 @t3708))) % 1.61/1.80 (step @p1095 :rule trans :premises (@p1094 @p1093)) % 1.61/1.80 (step @p1096 :rule symm :premises (@p1095)) % 1.61/1.80 (step @p1097 :rule cong :premises (@p1096) :args ((forall @t1560 (or @t2038 @t3716)))) % 1.61/1.80 (step @p1098 :rule trans :premises (@p1097 @p1091)) % 1.61/1.80 (step @p1099 :rule trans :premises (@p1098 @p1090)) % 1.61/1.80 (step @p1100 :rule refl :args (@t3716)) % 1.61/1.80 (step @p1101 :rule nary_cong :premises (@p833 @p1100) :args (@t3717)) % 1.61/1.80 (step @p1102 :rule cong :premises (@p1101) :args ((forall @t1560 @t3717))) % 1.61/1.80 (step @p1103 :rule trans :premises (@p1102 @p1099)) % 1.61/1.80 (step @p1104 :rule bool-impl-elim :args (@t1558 @t3716)) % 1.61/1.80 (step @p1105 :rule cong :premises (@p1104) :args ((forall @t1560 (=> @t1558 @t3716)))) % 1.61/1.80 (step @p1106 :rule trans :premises (@p1105 @p1103)) % 1.61/1.80 (step @p1107 :rule aci_norm :args ((= @t3719 @t3714))) % 1.61/1.80 (step @p1108 :rule cong :premises (@p1107) :args (@t3720)) % 1.61/1.80 (step @p1109 :rule quant-merge-prenex :args ((= (forall @t1003 @t3722) @t3720))) % 1.61/1.80 (step @p1110 :rule alpha_equiv :args (@t3723 (@list @t3707 @t3706) (@list @t4 @t3724))) % 1.61/1.80 (step @p1111 :rule nary_cong :premises (@p844 @p1110) :args (@t3725)) % 1.61/1.80 (step @p1112 :rule quant-miniscope-or :args ((= @t3722 @t3725))) % 1.61/1.80 (step @p1113 :rule trans :premises (@p1112 @p1111)) % 1.61/1.80 (step @p1114 :rule symm :premises (@p1113)) % 1.61/1.80 (step @p1115 :rule cong :premises (@p1114) :args ((forall @t1003 (or @t3598 @t3734)))) % 1.61/1.80 (step @p1116 :rule trans :premises (@p1115 @p1109)) % 1.61/1.80 (step @p1117 :rule trans :premises (@p1116 @p1108)) % 1.61/1.80 (step @p1118 :rule refl :args (@t3734)) % 1.61/1.80 (step @p1119 :rule nary_cong :premises (@p858 @p1118) :args (@t3735)) % 1.61/1.80 (step @p1120 :rule cong :premises (@p1119) :args ((forall @t1003 @t3735))) % 1.61/1.80 (step @p1121 :rule trans :premises (@p1120 @p1117)) % 1.61/1.80 (step @p1122 :rule bool-impl-elim :args (@t1603 @t3734)) % 1.61/1.80 (step @p1123 :rule cong :premises (@p1122) :args ((forall @t1003 (=> @t1603 @t3734)))) % 1.61/1.80 (step @p1124 :rule trans :premises (@p1123 @p1121)) % 1.61/1.80 (step @p1125 :rule aci_norm :args ((= @t3737 @t3732))) % 1.61/1.80 (step @p1126 :rule cong :premises (@p1125) :args (@t3738)) % 1.61/1.80 (step @p1127 :rule quant-merge-prenex :args ((= (forall @t9 @t3740) @t3738))) % 1.61/1.80 (step @p1128 :rule alpha_equiv :args (@t3741 (@list @t3724) @t3627)) % 1.61/1.80 (step @p1129 :rule nary_cong :premises (@p869 @p1128) :args (@t3742)) % 1.61/1.80 (step @p1130 :rule quant-miniscope-or :args ((= @t3740 @t3742))) % 1.61/1.80 (step @p1131 :rule trans :premises (@p1130 @p1129)) % 1.61/1.80 (step @p1132 :rule symm :premises (@p1131)) % 1.61/1.80 (step @p1133 :rule cong :premises (@p1132) :args ((forall @t9 (or @t2125 @t3748)))) % 1.61/1.80 (step @p1134 :rule trans :premises (@p1133 @p1127)) % 1.61/1.80 (step @p1135 :rule trans :premises (@p1134 @p1126)) % 1.61/1.80 (step @p1136 :rule refl :args (@t3748)) % 1.61/1.80 (step @p1137 :rule nary_cong :premises (@p883 @p1136) :args (@t3749)) % 1.61/1.80 (step @p1138 :rule cong :premises (@p1137) :args ((forall @t9 @t3749))) % 1.61/1.80 (step @p1139 :rule trans :premises (@p1138 @p1135)) % 1.61/1.80 (step @p1140 :rule bool-impl-elim :args (@t7 @t3748)) % 1.61/1.80 (step @p1141 :rule cong :premises (@p1140) :args ((forall @t9 (=> @t7 @t3748)))) % 1.61/1.80 (step @p1142 :rule trans :premises (@p1141 @p1139)) % 1.61/1.80 (step @p1143 :rule refl :args (@t3746)) % 1.61/1.80 (step @p1144 :rule refl :args ((tptp.in @t633 @t1639))) % 1.61/1.80 (step @p1145 :rule refl :args (@t3710)) % 1.61/1.80 (step @p1146 :rule cong :premises (@p892 @p1145) :args (@t3747)) % 1.61/1.80 (step @p1147 :rule trans :premises (@p1146 @p1144)) % 1.61/1.80 (step @p1148 :rule ho_cong :premises (@p896 @p1145)) % 1.61/1.80 (step @p1149 :rule cong :premises (@p1148 @p1147) :args ((= (_ @t3634 @t3710) @t3747))) % 1.61/1.80 (step @p1150 :rule symm :premises (@p1149)) % 1.61/1.80 (step @p1151 :rule refl :args (@t1645)) % 1.61/1.80 (step @p1152 :rule eq_resolve :premises (@p1151 @p1150)) % 1.61/1.80 (step @p1153 :rule refl :args (@t1639)) % 1.61/1.80 (step @p1154 :rule cong :premises (@p1153 @p1145) :args ((= @t1639 @t3710))) % 1.61/1.80 (step @p1155 :rule symm :premises (@p1154)) % 1.61/1.80 (step @p1156 :rule eq_resolve :premises (@p1153 @p1155)) % 1.61/1.80 (step @p1157 :rule ho_cong :premises (@p910 @p1156)) % 1.61/1.80 (step @p1158 :rule trans :premises (@p1157 @p1152)) % 1.61/1.80 (step @p1159 :rule cong :premises (@p1158) :args (@t3750)) % 1.61/1.80 (step @p1160 :rule nary_cong :premises (@p930 @p1159 @p1143) :args (@t3751)) % 1.61/1.80 (step @p1161 :rule cong :premises (@p1160) :args ((forall @t70 @t3751))) % 1.61/1.80 (step @p1162 :rule aci_norm :args ((= (or @t3636 (or @t3750 @t3746)) @t3751))) % 1.61/1.80 (step @p1163 :rule bool-impl-elim :args (@t1645 @t3746)) % 1.61/1.80 (step @p1164 :rule nary_cong :premises (@p935 @p1163) :args ((or @t3636 @t3752))) % 1.61/1.80 (step @p1165 :rule trans :premises (@p1164 @p1162)) % 1.61/1.80 (step @p1166 :rule bool-impl-elim :args (@t21 @t3752)) % 1.61/1.80 (step @p1167 :rule trans :premises (@p1166 @p1165)) % 1.61/1.80 (step @p1168 :rule cong :premises (@p1167) :args ((forall @t70 (=> @t21 @t3752)))) % 1.61/1.80 (step @p1169 :rule trans :premises (@p1168 @p1161)) % 1.61/1.80 (step @p1170 :rule aci_norm :args ((= (and true @t3746) @t3746))) % 1.61/1.80 (step @p1171 :rule refl :args (@t3746)) % 1.61/1.80 (step @p1172 :rule evaluate :args (@t3753)) % 1.61/1.80 (step @p1173 :rule nary_cong :premises (@p1172 @p1171) :args (@t3754)) % 1.61/1.80 (step @p1174 :rule trans :premises (@p1173 @p1170)) % 1.61/1.80 (step @p1175 :rule aci_norm :args ((= @t3755 @t3754))) % 1.61/1.80 (step @p1176 :rule trans :premises (@p1175 @p1174)) % 1.61/1.80 (step @p1177 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t3756 @t173)) @t3755))) % 1.61/1.80 (step @p1178 :rule refl :args (@t173)) % 1.61/1.80 (step @p1179 :rule refl :args (@t3756)) % 1.61/1.80 (step @p1180 :rule bool-eq-false :args (@t173)) % 1.61/1.80 (step @p1181 :rule symm :premises (@p1180)) % 1.61/1.80 (step @p1182 :rule cong :premises (@p1181) :args (@t3758)) % 1.61/1.80 (step @p1183 :rule bool-double-not-elim :args (@t173)) % 1.61/1.80 (step @p1184 :rule symm :premises (@p1183)) % 1.61/1.80 (step @p1185 :rule trans :premises (@p1184 @p1182)) % 1.61/1.80 (step @p1186 :rule nary_cong :premises (@p1185 @p1179 @p1178) :args (@t3759)) % 1.61/1.80 (step @p1187 :rule aci_norm :args ((= @t3760 @t3759))) % 1.61/1.80 (step @p1188 :rule trans :premises (@p1187 @p1186)) % 1.61/1.80 (step @p1189 :rule cong :premises (@p1188) :args ((forall @t179 @t3760))) % 1.61/1.80 (step @p1190 :rule trans :premises (@p1189 @p1177)) % 1.61/1.80 (step @p1191 :rule trans :premises (@p1190 @p1176)) % 1.61/1.80 (step @p1192 :rule bool-or-de-morgan :args (@t173 @t3745 false)) % 1.61/1.80 (step @p1193 :rule nary_cong :premises (@p1192 @p1178) :args ((or (not @t3761) @t173))) % 1.61/1.80 (step @p1194 :rule bool-impl-elim :args (@t3761 @t173)) % 1.61/1.80 (step @p1195 :rule trans :premises (@p1194 @p1193)) % 1.61/1.80 (step @p1196 :rule cong :premises (@p1195) :args ((forall @t179 (=> @t3761 @t173)))) % 1.61/1.80 (step @p1197 :rule trans :premises (@p1196 @p1191)) % 1.61/1.80 (step @p1198 :rule refl :args (@t173)) % 1.61/1.80 (step @p1199 :rule refl :args ((tptp.in @t1646 @t993))) % 1.61/1.80 (step @p1200 :rule refl :args (@t3743)) % 1.61/1.80 (step @p1201 :rule cong :premises (@p1200 @p914) :args (@t3744)) % 1.61/1.80 (step @p1202 :rule trans :premises (@p1201 @p1199)) % 1.61/1.80 (step @p1203 :rule ho_cong :premises (@p895 @p1200)) % 1.61/1.80 (step @p1204 :rule ho_cong :premises (@p1203 @p914)) % 1.61/1.80 (step @p1205 :rule cong :premises (@p1204 @p1202) :args ((= (_ (_ tptp.in @t3743) @t993) @t3744))) % 1.61/1.80 (step @p1206 :rule symm :premises (@p1205)) % 1.61/1.80 (step @p1207 :rule refl :args (@t1647)) % 1.61/1.80 (step @p1208 :rule eq_resolve :premises (@p1207 @p1206)) % 1.61/1.80 (step @p1209 :rule refl :args (@t1646)) % 1.61/1.80 (step @p1210 :rule cong :premises (@p1209 @p1200) :args ((= @t1646 @t3743))) % 1.61/1.80 (step @p1211 :rule symm :premises (@p1210)) % 1.61/1.80 (step @p1212 :rule eq_resolve :premises (@p1209 @p1211)) % 1.61/1.80 (step @p1213 :rule ho_cong :premises (@p895 @p1212)) % 1.61/1.80 (step @p1214 :rule ho_cong :premises (@p1213 @p914)) % 1.61/1.80 (step @p1215 :rule trans :premises (@p1214 @p1208)) % 1.61/1.80 (step @p1216 :rule cong :premises (@p1215) :args (@t3762)) % 1.61/1.80 (step @p1217 :rule refl :args ((tptp.in @t1649 @t937))) % 1.61/1.80 (step @p1218 :rule refl :args (@t3726)) % 1.61/1.80 (step @p1219 :rule cong :premises (@p1218 @p1013) :args (@t3727)) % 1.61/1.80 (step @p1220 :rule trans :premises (@p1219 @p1217)) % 1.61/1.80 (step @p1221 :rule ho_cong :premises (@p895 @p1218)) % 1.61/1.80 (step @p1222 :rule ho_cong :premises (@p1221 @p1013)) % 1.61/1.80 (step @p1223 :rule cong :premises (@p1222 @p1220) :args ((= (_ (_ tptp.in @t3726) @t937) @t3727))) % 1.61/1.80 (step @p1224 :rule symm :premises (@p1223)) % 1.61/1.80 (step @p1225 :rule refl :args (@t1650)) % 1.61/1.80 (step @p1226 :rule eq_resolve :premises (@p1225 @p1224)) % 1.61/1.80 (step @p1227 :rule refl :args (@t1649)) % 1.61/1.80 (step @p1228 :rule cong :premises (@p1227 @p1218) :args ((= @t1649 @t3726))) % 1.61/1.80 (step @p1229 :rule symm :premises (@p1228)) % 1.61/1.80 (step @p1230 :rule eq_resolve :premises (@p1227 @p1229)) % 1.61/1.80 (step @p1231 :rule ho_cong :premises (@p895 @p1230)) % 1.61/1.80 (step @p1232 :rule ho_cong :premises (@p1231 @p1013)) % 1.61/1.80 (step @p1233 :rule trans :premises (@p1232 @p1226)) % 1.61/1.80 (step @p1234 :rule cong :premises (@p1233) :args (@t3763)) % 1.61/1.80 (step @p1235 :rule refl :args (@t2072)) % 1.61/1.80 (step @p1236 :rule refl :args (@t1652)) % 1.61/1.80 (step @p1237 :rule cong :premises (@p1236 @p1235) :args ((= @t1652 @t2072))) % 1.61/1.80 (step @p1238 :rule symm :premises (@p1237)) % 1.61/1.80 (step @p1239 :rule eq_resolve :premises (@p1236 @p1238)) % 1.61/1.80 (step @p1240 :rule cong :premises (@p1239) :args (@t3764)) % 1.61/1.80 (step @p1241 :rule nary_cong :premises (@p1240 @p1234 @p1216) :args (@t3765)) % 1.61/1.80 (step @p1242 :rule cong :premises (@p1241) :args (@t3766)) % 1.61/1.80 (step @p1243 :rule nary_cong :premises (@p1198 @p1242) :args (@t3767)) % 1.61/1.80 (step @p1244 :rule quant-miniscope-or :args ((= (forall @t1067 @t3768) @t3767))) % 1.61/1.80 (step @p1245 :rule aci_norm :args ((= @t3769 @t3768))) % 1.61/1.80 (step @p1246 :rule cong :premises (@p1245) :args ((forall @t1067 @t3769))) % 1.61/1.80 (step @p1247 :rule trans :premises (@p1246 @p1244)) % 1.61/1.80 (step @p1248 :rule trans :premises (@p1247 @p1243)) % 1.61/1.80 (step @p1249 :rule aci_norm :args ((= (or @t3764 @t3770) @t3769))) % 1.61/1.80 (step @p1250 :rule aci_norm :args ((= (or @t3763 (or @t3762 @t173)) @t3770))) % 1.61/1.80 (step @p1251 :rule bool-impl-elim :args (@t1647 @t173)) % 1.61/1.80 (step @p1252 :rule refl :args (@t3763)) % 1.61/1.80 (step @p1253 :rule nary_cong :premises (@p1252 @p1251) :args ((or @t3763 @t1675))) % 1.61/1.80 (step @p1254 :rule trans :premises (@p1253 @p1250)) % 1.61/1.80 (step @p1255 :rule bool-impl-elim :args (@t1650 @t1675)) % 1.61/1.80 (step @p1256 :rule trans :premises (@p1255 @p1254)) % 1.61/1.80 (step @p1257 :rule refl :args (@t3764)) % 1.61/1.80 (step @p1258 :rule nary_cong :premises (@p1257 @p1256) :args ((or @t3764 @t1676))) % 1.61/1.80 (step @p1259 :rule trans :premises (@p1258 @p1249)) % 1.61/1.80 (step @p1260 :rule bool-impl-elim :args (@t1652 @t1676)) % 1.61/1.80 (step @p1261 :rule trans :premises (@p1260 @p1259)) % 1.61/1.80 (step @p1262 :rule cong :premises (@p1261) :args (@t1677)) % 1.61/1.80 (step @p1263 :rule trans :premises (@p1262 @p1248)) % 1.61/1.80 (step @p1264 :rule cong :premises (@p1263 @p1198) :args (@t1678)) % 1.61/1.80 (step @p1265 :rule cong :premises (@p1264) :args (@t1679)) % 1.61/1.80 (step @p1266 :rule trans :premises (@p1265 @p1197)) % 1.61/1.80 (step @p1267 :rule refl :args (@t1645)) % 1.61/1.80 (step @p1268 :rule cong :premises (@p1267 @p1266) :args (@t1680)) % 1.61/1.80 (step @p1269 :rule refl :args (@t21)) % 1.61/1.80 (step @p1270 :rule cong :premises (@p1269 @p1268) :args (@t1681)) % 1.61/1.80 (step @p1271 :rule cong :premises (@p1270) :args (@t1682)) % 1.61/1.80 (step @p1272 :rule trans :premises (@p1271 @p1169)) % 1.61/1.80 (step @p1273 :rule cong :premises (@p942 @p1272) :args (@t1683)) % 1.61/1.80 (step @p1274 :rule cong :premises (@p1273) :args (@t1684)) % 1.61/1.80 (step @p1275 :rule trans :premises (@p1274 @p1142)) % 1.61/1.80 (step @p1276 :rule cong :premises (@p946 @p1275) :args (@t1685)) % 1.61/1.80 (step @p1277 :rule cong :premises (@p1276) :args (@t1686)) % 1.61/1.80 (step @p1278 :rule trans :premises (@p1277 @p1124)) % 1.61/1.80 (step @p1279 :rule cong :premises (@p950 @p1278) :args (@t1687)) % 1.61/1.80 (step @p1280 :rule cong :premises (@p1279) :args (@t1688)) % 1.61/1.80 (step @p1281 :rule trans :premises (@p1280 @p1106)) % 1.61/1.80 (step @p1282 :rule refl :args (tptp.breln1compEex)) % 1.61/1.80 (step @p1283 :rule cong :premises (@p1282 @p1281) :args (@t1689)) % 1.61/1.80 (step @p1284 :rule eq_resolve :premises (@p298 @p1283)) % 1.61/1.80 (step @p1285 :rule cong :premises (@p1284 @p1088) :args (@t3771)) % 1.61/1.80 (step @p1286 :rule aci_norm :args ((= (or @t3764 (or @t3763 @t3762)) @t3765))) % 1.61/1.80 (step @p1287 :rule bool-and-de-morgan :args (@t1650 @t1647 true)) % 1.61/1.80 (step @p1288 :rule nary_cong :premises (@p1257 @p1287) :args ((or @t3764 (not (and @t1650 @t1647))))) % 1.61/1.80 (step @p1289 :rule bool-and-de-morgan :args (@t1652 @t1650 (and @t1647))) % 1.61/1.80 (step @p1290 :rule trans :premises (@p1289 @p1288)) % 1.61/1.80 (step @p1291 :rule trans :premises (@p1290 @p1286)) % 1.61/1.80 (step @p1292 :rule cong :premises (@p1291) :args (@t3772)) % 1.61/1.80 (step @p1293 :rule trans :premises (@p1292 @p1242)) % 1.61/1.80 (step @p1294 :rule cong :premises (@p1293) :args (@t3773)) % 1.61/1.80 (step @p1295 :rule exists-elim :args ((= @t1664 @t3773))) % 1.61/1.80 (step @p1296 :rule trans :premises (@p1295 @p1294)) % 1.61/1.80 (step @p1297 :rule cong :premises (@p1267 @p1296) :args (@t1665)) % 1.61/1.80 (step @p1298 :rule cong :premises (@p1269 @p1297) :args (@t1666)) % 1.61/1.80 (step @p1299 :rule cong :premises (@p1298) :args (@t1667)) % 1.61/1.80 (step @p1300 :rule trans :premises (@p1299 @p1169)) % 1.61/1.80 (step @p1301 :rule cong :premises (@p942 @p1300) :args (@t1668)) % 1.61/1.80 (step @p1302 :rule cong :premises (@p1301) :args (@t1669)) % 1.61/1.80 (step @p1303 :rule trans :premises (@p1302 @p1142)) % 1.61/1.80 (step @p1304 :rule cong :premises (@p946 @p1303) :args (@t1670)) % 1.61/1.80 (step @p1305 :rule cong :premises (@p1304) :args (@t1671)) % 1.61/1.80 (step @p1306 :rule trans :premises (@p1305 @p1124)) % 1.61/1.80 (step @p1307 :rule cong :premises (@p950 @p1306) :args (@t1672)) % 1.61/1.80 (step @p1308 :rule cong :premises (@p1307) :args (@t1673)) % 1.61/1.80 (step @p1309 :rule trans :premises (@p1308 @p1106)) % 1.61/1.80 (step @p1310 :rule refl :args (tptp.breln1compE)) % 1.61/1.80 (step @p1311 :rule cong :premises (@p1310 @p1309) :args (@t1674)) % 1.61/1.80 (step @p1312 :rule eq_resolve :premises (@p297 @p1311)) % 1.61/1.80 (step @p1313 :rule cong :premises (@p1312 @p1285) :args (@t3774)) % 1.61/1.80 (step @p1314 :rule aci_norm :args ((= @t3776 @t2093))) % 1.61/1.80 (step @p1315 :rule cong :premises (@p1314) :args (@t3777)) % 1.61/1.80 (step @p1316 :rule quant-merge-prenex :args ((= (forall @t1560 @t3779) @t3777))) % 1.61/1.80 (step @p1317 :rule alpha_equiv :args (@t3780 (@list @t2082 @t2086 @t2083 @t2084) (@list @t993 @t3783 @t3782 @t3781))) % 1.61/1.80 (step @p1318 :rule nary_cong :premises (@p819 @p1317) :args (@t3784)) % 1.61/1.80 (step @p1319 :rule quant-miniscope-or :args ((= @t3779 @t3784))) % 1.61/1.80 (step @p1320 :rule trans :premises (@p1319 @p1318)) % 1.61/1.80 (step @p1321 :rule symm :premises (@p1320)) % 1.61/1.80 (step @p1322 :rule cong :premises (@p1321) :args ((forall @t1560 (or @t2038 @t3793)))) % 1.61/1.80 (step @p1323 :rule trans :premises (@p1322 @p1316)) % 1.61/1.80 (step @p1324 :rule trans :premises (@p1323 @p1315)) % 1.61/1.80 (step @p1325 :rule refl :args (@t3793)) % 1.61/1.80 (step @p1326 :rule nary_cong :premises (@p833 @p1325) :args (@t3794)) % 1.61/1.80 (step @p1327 :rule cong :premises (@p1326) :args ((forall @t1560 @t3794))) % 1.61/1.80 (step @p1328 :rule trans :premises (@p1327 @p1324)) % 1.61/1.80 (step @p1329 :rule bool-impl-elim :args (@t1558 @t3793)) % 1.61/1.80 (step @p1330 :rule cong :premises (@p1329) :args ((forall @t1560 (=> @t1558 @t3793)))) % 1.61/1.80 (step @p1331 :rule trans :premises (@p1330 @p1328)) % 1.61/1.80 (step @p1332 :rule aci_norm :args ((= @t3796 @t3791))) % 1.61/1.80 (step @p1333 :rule cong :premises (@p1332) :args (@t3797)) % 1.61/1.80 (step @p1334 :rule quant-merge-prenex :args ((= (forall @t1003 @t3799) @t3797))) % 1.61/1.80 (step @p1335 :rule alpha_equiv :args (@t3800 (@list @t3783 @t3782 @t3781) (@list @t4 @t3802 @t3801))) % 1.61/1.80 (step @p1336 :rule nary_cong :premises (@p844 @p1335) :args (@t3803)) % 1.61/1.80 (step @p1337 :rule quant-miniscope-or :args ((= @t3799 @t3803))) % 1.61/1.80 (step @p1338 :rule trans :premises (@p1337 @p1336)) % 1.61/1.80 (step @p1339 :rule symm :premises (@p1338)) % 1.61/1.80 (step @p1340 :rule cong :premises (@p1339) :args ((forall @t1003 (or @t3598 @t3811)))) % 1.61/1.80 (step @p1341 :rule trans :premises (@p1340 @p1334)) % 1.61/1.80 (step @p1342 :rule trans :premises (@p1341 @p1333)) % 1.61/1.80 (step @p1343 :rule refl :args (@t3811)) % 1.61/1.80 (step @p1344 :rule nary_cong :premises (@p858 @p1343) :args (@t3812)) % 1.61/1.80 (step @p1345 :rule cong :premises (@p1344) :args ((forall @t1003 @t3812))) % 1.61/1.80 (step @p1346 :rule trans :premises (@p1345 @p1342)) % 1.61/1.80 (step @p1347 :rule bool-impl-elim :args (@t1603 @t3811)) % 1.61/1.80 (step @p1348 :rule cong :premises (@p1347) :args ((forall @t1003 (=> @t1603 @t3811)))) % 1.61/1.80 (step @p1349 :rule trans :premises (@p1348 @p1346)) % 1.61/1.80 (step @p1350 :rule aci_norm :args ((= @t3814 @t3809))) % 1.61/1.80 (step @p1351 :rule cong :premises (@p1350) :args (@t3815)) % 1.61/1.80 (step @p1352 :rule quant-merge-prenex :args ((= (forall @t9 @t3817) @t3815))) % 1.61/1.80 (step @p1353 :rule alpha_equiv :args (@t3818 (@list @t3802 @t3801) (@list @t19 @t3819))) % 1.61/1.80 (step @p1354 :rule nary_cong :premises (@p869 @p1353) :args (@t3820)) % 1.61/1.80 (step @p1355 :rule quant-miniscope-or :args ((= @t3817 @t3820))) % 1.61/1.80 (step @p1356 :rule trans :premises (@p1355 @p1354)) % 1.61/1.80 (step @p1357 :rule symm :premises (@p1356)) % 1.61/1.80 (step @p1358 :rule cong :premises (@p1357) :args ((forall @t9 (or @t2125 @t3826)))) % 1.61/1.80 (step @p1359 :rule trans :premises (@p1358 @p1352)) % 1.61/1.80 (step @p1360 :rule trans :premises (@p1359 @p1351)) % 1.61/1.80 (step @p1361 :rule refl :args (@t3826)) % 1.61/1.80 (step @p1362 :rule nary_cong :premises (@p883 @p1361) :args (@t3827)) % 1.61/1.80 (step @p1363 :rule cong :premises (@p1362) :args ((forall @t9 @t3827))) % 1.61/1.80 (step @p1364 :rule trans :premises (@p1363 @p1360)) % 1.61/1.80 (step @p1365 :rule bool-impl-elim :args (@t7 @t3826)) % 1.61/1.80 (step @p1366 :rule cong :premises (@p1365) :args ((forall @t9 (=> @t7 @t3826)))) % 1.61/1.80 (step @p1367 :rule trans :premises (@p1366 @p1364)) % 1.61/1.80 (step @p1368 :rule aci_norm :args ((= @t3829 @t3824))) % 1.61/1.80 (step @p1369 :rule cong :premises (@p1368) :args (@t3830)) % 1.61/1.80 (step @p1370 :rule quant-merge-prenex :args ((= (forall @t70 @t3832) @t3830))) % 1.61/1.80 (step @p1371 :rule alpha_equiv :args (@t3833 (@list @t3819) (@list @t289))) % 1.61/1.80 (step @p1372 :rule refl :args (@t3747)) % 1.61/1.80 (step @p1373 :rule refl :args (@t2889)) % 1.61/1.80 (step @p1374 :rule nary_cong :premises (@p1373 @p1372 @p1371) :args (@t3834)) % 1.61/1.80 (step @p1375 :rule quant-miniscope-or :args ((= @t3832 @t3834))) % 1.61/1.80 (step @p1376 :rule trans :premises (@p1375 @p1374)) % 1.61/1.80 (step @p1377 :rule symm :premises (@p1376)) % 1.61/1.80 (step @p1378 :rule cong :premises (@p1377) :args ((forall @t70 (or @t2889 @t3747 @t3745)))) % 1.61/1.80 (step @p1379 :rule trans :premises (@p1378 @p1370)) % 1.61/1.80 (step @p1380 :rule trans :premises (@p1379 @p1369)) % 1.61/1.80 (step @p1381 :rule refl :args (@t3745)) % 1.61/1.80 (step @p1382 :rule nary_cong :premises (@p930 @p1158 @p1381) :args (@t3835)) % 1.61/1.80 (step @p1383 :rule cong :premises (@p1382) :args ((forall @t70 @t3835))) % 1.61/1.80 (step @p1384 :rule trans :premises (@p1383 @p1380)) % 1.61/1.80 (step @p1385 :rule aci_norm :args ((= (or @t3636 @t3836) @t3835))) % 1.61/1.80 (step @p1386 :rule bool-impl-elim :args (@t21 @t3836)) % 1.61/1.80 (step @p1387 :rule trans :premises (@p1386 @p1385)) % 1.61/1.80 (step @p1388 :rule cong :premises (@p1387) :args ((forall @t70 (=> @t21 @t3836)))) % 1.61/1.80 (step @p1389 :rule trans :premises (@p1388 @p1384)) % 1.61/1.80 (step @p1390 :rule nary_cong :premises (@p1267 @p1242) :args (@t3837)) % 1.61/1.80 (step @p1391 :rule quant-miniscope-or :args ((= (forall @t1067 @t3838) @t3837))) % 1.61/1.80 (step @p1392 :rule aci_norm :args ((= @t3839 @t3838))) % 1.61/1.80 (step @p1393 :rule cong :premises (@p1392) :args ((forall @t1067 @t3839))) % 1.61/1.80 (step @p1394 :rule trans :premises (@p1393 @p1391)) % 1.61/1.80 (step @p1395 :rule trans :premises (@p1394 @p1390)) % 1.61/1.80 (step @p1396 :rule aci_norm :args ((= (or @t3764 @t3840) @t3839))) % 1.61/1.80 (step @p1397 :rule aci_norm :args ((= (or @t3763 (or @t3762 @t1645)) @t3840))) % 1.61/1.80 (step @p1398 :rule bool-impl-elim :args (@t1647 @t1645)) % 1.61/1.80 (step @p1399 :rule nary_cong :premises (@p1252 @p1398) :args ((or @t3763 @t1648))) % 1.61/1.80 (step @p1400 :rule trans :premises (@p1399 @p1397)) % 1.61/1.80 (step @p1401 :rule bool-impl-elim :args (@t1650 @t1648)) % 1.61/1.80 (step @p1402 :rule trans :premises (@p1401 @p1400)) % 1.61/1.80 (step @p1403 :rule nary_cong :premises (@p1257 @p1402) :args ((or @t3764 @t1651))) % 1.61/1.80 (step @p1404 :rule trans :premises (@p1403 @p1396)) % 1.61/1.80 (step @p1405 :rule bool-impl-elim :args (@t1652 @t1651)) % 1.61/1.80 (step @p1406 :rule trans :premises (@p1405 @p1404)) % 1.61/1.80 (step @p1407 :rule cong :premises (@p1406) :args (@t1653)) % 1.61/1.80 (step @p1408 :rule trans :premises (@p1407 @p1395)) % 1.61/1.80 (step @p1409 :rule cong :premises (@p1269 @p1408) :args (@t1654)) % 1.61/1.80 (step @p1410 :rule cong :premises (@p1409) :args (@t1655)) % 1.61/1.80 (step @p1411 :rule trans :premises (@p1410 @p1389)) % 1.61/1.80 (step @p1412 :rule cong :premises (@p942 @p1411) :args (@t1656)) % 1.61/1.80 (step @p1413 :rule cong :premises (@p1412) :args (@t1657)) % 1.61/1.80 (step @p1414 :rule trans :premises (@p1413 @p1367)) % 1.61/1.80 (step @p1415 :rule cong :premises (@p946 @p1414) :args (@t1658)) % 1.61/1.80 (step @p1416 :rule cong :premises (@p1415) :args (@t1659)) % 1.61/1.80 (step @p1417 :rule trans :premises (@p1416 @p1349)) % 1.61/1.80 (step @p1418 :rule cong :premises (@p950 @p1417) :args (@t1660)) % 1.61/1.80 (step @p1419 :rule cong :premises (@p1418) :args (@t1661)) % 1.61/1.80 (step @p1420 :rule trans :premises (@p1419 @p1331)) % 1.61/1.80 (step @p1421 :rule refl :args (tptp.breln1compI)) % 1.61/1.80 (step @p1422 :rule cong :premises (@p1421 @p1420) :args (@t1662)) % 1.61/1.80 (step @p1423 :rule eq_resolve :premises (@p296 @p1422)) % 1.61/1.80 (step @p1424 :rule cong :premises (@p1423 @p1313) :args (@t3841)) % 1.61/1.80 (step @p1425 :rule aci_norm :args ((= @t3843 @t2098))) % 1.61/1.80 (step @p1426 :rule cong :premises (@p1425) :args (@t3844)) % 1.61/1.80 (step @p1427 :rule quant-merge-prenex :args ((= (forall @t1560 @t3846) @t3844))) % 1.61/1.80 (step @p1428 :rule alpha_equiv :args (@t3847 (@list @t2095) @t3693)) % 1.61/1.80 (step @p1429 :rule nary_cong :premises (@p819 @p1428) :args (@t3848)) % 1.61/1.80 (step @p1430 :rule quant-miniscope-or :args ((= @t3846 @t3848))) % 1.61/1.80 (step @p1431 :rule trans :premises (@p1430 @p1429)) % 1.61/1.80 (step @p1432 :rule symm :premises (@p1431)) % 1.61/1.80 (step @p1433 :rule cong :premises (@p1432) :args ((forall @t1560 (or @t2038 @t3850)))) % 1.61/1.80 (step @p1434 :rule trans :premises (@p1433 @p1427)) % 1.61/1.80 (step @p1435 :rule trans :premises (@p1434 @p1426)) % 1.61/1.80 (step @p1436 :rule refl :args (@t3850)) % 1.61/1.80 (step @p1437 :rule nary_cong :premises (@p833 @p1436) :args (@t3851)) % 1.61/1.80 (step @p1438 :rule cong :premises (@p1437) :args ((forall @t1560 @t3851))) % 1.61/1.80 (step @p1439 :rule trans :premises (@p1438 @p1435)) % 1.61/1.80 (step @p1440 :rule bool-impl-elim :args (@t1558 @t3850)) % 1.61/1.80 (step @p1441 :rule cong :premises (@p1440) :args ((forall @t1560 (=> @t1558 @t3850)))) % 1.61/1.80 (step @p1442 :rule trans :premises (@p1441 @p1439)) % 1.61/1.80 (step @p1443 :rule refl :args ((tptp.breln1 @t2 @t1639))) % 1.61/1.80 (step @p1444 :rule cong :premises (@p1066 @p1145) :args (@t3849)) % 1.61/1.80 (step @p1445 :rule trans :premises (@p1444 @p1443)) % 1.61/1.80 (step @p1446 :rule ho_cong :premises (@p1069 @p1145)) % 1.61/1.80 (step @p1447 :rule cong :premises (@p1446 @p1445) :args ((= (_ @t1557 @t3710) @t3849))) % 1.61/1.80 (step @p1448 :rule symm :premises (@p1447)) % 1.61/1.80 (step @p1449 :rule refl :args (@t1640)) % 1.61/1.80 (step @p1450 :rule eq_resolve :premises (@p1449 @p1448)) % 1.61/1.80 (step @p1451 :rule ho_cong :premises (@p1069 @p1156)) % 1.61/1.80 (step @p1452 :rule trans :premises (@p1451 @p1450)) % 1.61/1.80 (step @p1453 :rule nary_cong :premises (@p858 @p1452) :args (@t3852)) % 1.61/1.80 (step @p1454 :rule cong :premises (@p1453) :args ((forall @t1003 @t3852))) % 1.61/1.80 (step @p1455 :rule bool-impl-elim :args (@t1603 @t1640)) % 1.61/1.80 (step @p1456 :rule cong :premises (@p1455) :args (@t1641)) % 1.61/1.80 (step @p1457 :rule trans :premises (@p1456 @p1454)) % 1.61/1.80 (step @p1458 :rule cong :premises (@p950 @p1457) :args (@t1642)) % 1.61/1.80 (step @p1459 :rule cong :premises (@p1458) :args (@t1643)) % 1.61/1.80 (step @p1460 :rule trans :premises (@p1459 @p1442)) % 1.61/1.80 (step @p1461 :rule refl :args (tptp.breln1compprop)) % 1.61/1.80 (step @p1462 :rule cong :premises (@p1461 @p1460) :args (@t1644)) % 1.61/1.80 (step @p1463 :rule eq_resolve :premises (@p295 @p1462)) % 1.61/1.80 (step @p1464 :rule cong :premises (@p1463 @p1424) :args (@t3853)) % 1.61/1.80 (step @p1465 :rule aci_norm :args ((= @t3855 @t2107))) % 1.61/1.80 (step @p1466 :rule cong :premises (@p1465) :args (@t3856)) % 1.61/1.80 (step @p1467 :rule quant-merge-prenex :args ((= (forall @t1560 @t3858) @t3856))) % 1.61/1.80 (step @p1468 :rule alpha_equiv :args (@t3859 (@list @t2101 @t2100) (@list @t4 @t3860))) % 1.61/1.80 (step @p1469 :rule nary_cong :premises (@p819 @p1468) :args (@t3861)) % 1.61/1.80 (step @p1470 :rule quant-miniscope-or :args ((= @t3858 @t3861))) % 1.61/1.80 (step @p1471 :rule trans :premises (@p1470 @p1469)) % 1.61/1.80 (step @p1472 :rule symm :premises (@p1471)) % 1.61/1.80 (step @p1473 :rule cong :premises (@p1472) :args ((forall @t1560 (or @t2038 @t3867)))) % 1.61/1.80 (step @p1474 :rule trans :premises (@p1473 @p1467)) % 1.61/1.80 (step @p1475 :rule trans :premises (@p1474 @p1466)) % 1.61/1.80 (step @p1476 :rule refl :args (@t3867)) % 1.61/1.80 (step @p1477 :rule nary_cong :premises (@p833 @p1476) :args (@t3868)) % 1.61/1.80 (step @p1478 :rule cong :premises (@p1477) :args ((forall @t1560 @t3868))) % 1.61/1.80 (step @p1479 :rule trans :premises (@p1478 @p1475)) % 1.61/1.80 (step @p1480 :rule bool-impl-elim :args (@t1558 @t3867)) % 1.61/1.80 (step @p1481 :rule cong :premises (@p1480) :args ((forall @t1560 (=> @t1558 @t3867)))) % 1.61/1.80 (step @p1482 :rule trans :premises (@p1481 @p1479)) % 1.61/1.80 (step @p1483 :rule aci_norm :args ((= @t3870 @t3865))) % 1.61/1.80 (step @p1484 :rule cong :premises (@p1483) :args (@t3871)) % 1.61/1.80 (step @p1485 :rule quant-merge-prenex :args ((= (forall @t9 @t3873) @t3871))) % 1.61/1.80 (step @p1486 :rule alpha_equiv :args (@t3874 (@list @t3860) @t3627)) % 1.61/1.80 (step @p1487 :rule nary_cong :premises (@p869 @p1486) :args (@t3875)) % 1.61/1.80 (step @p1488 :rule quant-miniscope-or :args ((= @t3873 @t3875))) % 1.61/1.80 (step @p1489 :rule trans :premises (@p1488 @p1487)) % 1.61/1.80 (step @p1490 :rule symm :premises (@p1489)) % 1.61/1.80 (step @p1491 :rule cong :premises (@p1490) :args ((forall @t9 (or @t2125 @t3878)))) % 1.61/1.80 (step @p1492 :rule trans :premises (@p1491 @p1485)) % 1.61/1.80 (step @p1493 :rule trans :premises (@p1492 @p1484)) % 1.61/1.80 (step @p1494 :rule refl :args (@t3878)) % 1.61/1.80 (step @p1495 :rule nary_cong :premises (@p883 @p1494) :args (@t3879)) % 1.61/1.80 (step @p1496 :rule cong :premises (@p1495) :args ((forall @t9 @t3879))) % 1.61/1.80 (step @p1497 :rule trans :premises (@p1496 @p1493)) % 1.61/1.80 (step @p1498 :rule bool-impl-elim :args (@t7 @t3878)) % 1.61/1.80 (step @p1499 :rule cong :premises (@p1498) :args ((forall @t9 (=> @t7 @t3878)))) % 1.61/1.80 (step @p1500 :rule trans :premises (@p1499 @p1497)) % 1.61/1.80 (step @p1501 :rule refl :args ((tptp.in @t1623 @t1619))) % 1.61/1.80 (step @p1502 :rule refl :args (@t2103)) % 1.61/1.80 (step @p1503 :rule refl :args (@t3876)) % 1.61/1.80 (step @p1504 :rule cong :premises (@p1503 @p1502) :args (@t3877)) % 1.61/1.80 (step @p1505 :rule trans :premises (@p1504 @p1501)) % 1.61/1.80 (step @p1506 :rule ho_cong :premises (@p895 @p1503)) % 1.61/1.80 (step @p1507 :rule ho_cong :premises (@p1506 @p1502)) % 1.61/1.80 (step @p1508 :rule cong :premises (@p1507 @p1505) :args ((= (_ (_ tptp.in @t3876) @t2103) @t3877))) % 1.61/1.80 (step @p1509 :rule symm :premises (@p1508)) % 1.61/1.80 (step @p1510 :rule refl :args (@t1624)) % 1.61/1.80 (step @p1511 :rule eq_resolve :premises (@p1510 @p1509)) % 1.61/1.80 (step @p1512 :rule refl :args (@t1619)) % 1.61/1.80 (step @p1513 :rule cong :premises (@p1512 @p1502) :args ((= @t1619 @t2103))) % 1.61/1.80 (step @p1514 :rule symm :premises (@p1513)) % 1.61/1.80 (step @p1515 :rule eq_resolve :premises (@p1512 @p1514)) % 1.61/1.80 (step @p1516 :rule refl :args (@t1623)) % 1.61/1.80 (step @p1517 :rule cong :premises (@p1516 @p1503) :args ((= @t1623 @t3876))) % 1.61/1.80 (step @p1518 :rule symm :premises (@p1517)) % 1.61/1.80 (step @p1519 :rule eq_resolve :premises (@p1516 @p1518)) % 1.61/1.80 (step @p1520 :rule ho_cong :premises (@p895 @p1519)) % 1.61/1.80 (step @p1521 :rule ho_cong :premises (@p1520 @p1515)) % 1.61/1.80 (step @p1522 :rule trans :premises (@p1521 @p1511)) % 1.61/1.80 (step @p1523 :rule cong :premises (@p1522) :args (@t3880)) % 1.61/1.80 (step @p1524 :rule nary_cong :premises (@p930 @p1523 @p1022) :args (@t3881)) % 1.61/1.80 (step @p1525 :rule cong :premises (@p1524) :args ((forall @t70 @t3881))) % 1.61/1.80 (step @p1526 :rule aci_norm :args ((= (or @t3636 (or @t3880 @t941)) @t3881))) % 1.61/1.80 (step @p1527 :rule bool-impl-elim :args (@t1624 @t941)) % 1.61/1.80 (step @p1528 :rule nary_cong :premises (@p935 @p1527) :args ((or @t3636 @t1632))) % 1.61/1.80 (step @p1529 :rule trans :premises (@p1528 @p1526)) % 1.61/1.80 (step @p1530 :rule bool-impl-elim :args (@t21 @t1632)) % 1.61/1.80 (step @p1531 :rule trans :premises (@p1530 @p1529)) % 1.61/1.80 (step @p1532 :rule cong :premises (@p1531) :args (@t1633)) % 1.61/1.80 (step @p1533 :rule trans :premises (@p1532 @p1525)) % 1.61/1.80 (step @p1534 :rule cong :premises (@p942 @p1533) :args (@t1634)) % 1.61/1.80 (step @p1535 :rule cong :premises (@p1534) :args (@t1635)) % 1.61/1.80 (step @p1536 :rule trans :premises (@p1535 @p1500)) % 1.61/1.80 (step @p1537 :rule cong :premises (@p950 @p1536) :args (@t1636)) % 1.61/1.80 (step @p1538 :rule cong :premises (@p1537) :args (@t1637)) % 1.61/1.80 (step @p1539 :rule trans :premises (@p1538 @p1482)) % 1.61/1.80 (step @p1540 :rule refl :args (tptp.breln1invE)) % 1.61/1.80 (step @p1541 :rule cong :premises (@p1540 @p1539) :args (@t1638)) % 1.61/1.80 (step @p1542 :rule eq_resolve :premises (@p294 @p1541)) % 1.61/1.80 (step @p1543 :rule cong :premises (@p1542 @p1464) :args (@t3882)) % 1.61/1.80 (step @p1544 :rule aci_norm :args ((= @t3884 @t2115))) % 1.61/1.80 (step @p1545 :rule cong :premises (@p1544) :args (@t3885)) % 1.61/1.80 (step @p1546 :rule quant-merge-prenex :args ((= (forall @t1560 @t3887) @t3885))) % 1.61/1.80 (step @p1547 :rule alpha_equiv :args (@t3888 (@list @t2109 @t2110) (@list @t4 @t3889))) % 1.61/1.80 (step @p1548 :rule nary_cong :premises (@p819 @p1547) :args (@t3890)) % 1.61/1.80 (step @p1549 :rule quant-miniscope-or :args ((= @t3887 @t3890))) % 1.61/1.80 (step @p1550 :rule trans :premises (@p1549 @p1548)) % 1.61/1.80 (step @p1551 :rule symm :premises (@p1550)) % 1.61/1.80 (step @p1552 :rule cong :premises (@p1551) :args ((forall @t1560 (or @t2038 @t3896)))) % 1.61/1.80 (step @p1553 :rule trans :premises (@p1552 @p1546)) % 1.61/1.80 (step @p1554 :rule trans :premises (@p1553 @p1545)) % 1.61/1.80 (step @p1555 :rule refl :args (@t3896)) % 1.61/1.80 (step @p1556 :rule nary_cong :premises (@p833 @p1555) :args (@t3897)) % 1.61/1.80 (step @p1557 :rule cong :premises (@p1556) :args ((forall @t1560 @t3897))) % 1.61/1.80 (step @p1558 :rule trans :premises (@p1557 @p1554)) % 1.61/1.80 (step @p1559 :rule bool-impl-elim :args (@t1558 @t3896)) % 1.61/1.80 (step @p1560 :rule cong :premises (@p1559) :args ((forall @t1560 (=> @t1558 @t3896)))) % 1.61/1.80 (step @p1561 :rule trans :premises (@p1560 @p1558)) % 1.61/1.80 (step @p1562 :rule aci_norm :args ((= @t3899 @t3894))) % 1.61/1.80 (step @p1563 :rule cong :premises (@p1562) :args (@t3900)) % 1.61/1.80 (step @p1564 :rule quant-merge-prenex :args ((= (forall @t9 @t3902) @t3900))) % 1.61/1.80 (step @p1565 :rule alpha_equiv :args (@t3903 (@list @t3889) @t3627)) % 1.61/1.80 (step @p1566 :rule nary_cong :premises (@p869 @p1565) :args (@t3904)) % 1.61/1.80 (step @p1567 :rule quant-miniscope-or :args ((= @t3902 @t3904))) % 1.61/1.80 (step @p1568 :rule trans :premises (@p1567 @p1566)) % 1.61/1.80 (step @p1569 :rule symm :premises (@p1568)) % 1.61/1.80 (step @p1570 :rule cong :premises (@p1569) :args ((forall @t9 (or @t2125 @t3905)))) % 1.61/1.80 (step @p1571 :rule trans :premises (@p1570 @p1564)) % 1.61/1.80 (step @p1572 :rule trans :premises (@p1571 @p1563)) % 1.61/1.80 (step @p1573 :rule refl :args (@t3905)) % 1.61/1.80 (step @p1574 :rule nary_cong :premises (@p883 @p1573) :args (@t3906)) % 1.61/1.80 (step @p1575 :rule cong :premises (@p1574) :args ((forall @t9 @t3906))) % 1.61/1.80 (step @p1576 :rule trans :premises (@p1575 @p1572)) % 1.61/1.80 (step @p1577 :rule bool-impl-elim :args (@t7 @t3905)) % 1.61/1.80 (step @p1578 :rule cong :premises (@p1577) :args ((forall @t9 (=> @t7 @t3905)))) % 1.61/1.80 (step @p1579 :rule trans :premises (@p1578 @p1576)) % 1.61/1.80 (step @p1580 :rule nary_cong :premises (@p930 @p1023 @p1522) :args (@t3907)) % 1.61/1.80 (step @p1581 :rule cong :premises (@p1580) :args ((forall @t70 @t3907))) % 1.61/1.80 (step @p1582 :rule aci_norm :args ((= (or @t3636 (or @t3684 @t1624)) @t3907))) % 1.61/1.80 (step @p1583 :rule bool-impl-elim :args (@t941 @t1624)) % 1.61/1.80 (step @p1584 :rule nary_cong :premises (@p935 @p1583) :args ((or @t3636 @t1625))) % 1.61/1.80 (step @p1585 :rule trans :premises (@p1584 @p1582)) % 1.61/1.80 (step @p1586 :rule bool-impl-elim :args (@t21 @t1625)) % 1.61/1.80 (step @p1587 :rule trans :premises (@p1586 @p1585)) % 1.61/1.80 (step @p1588 :rule cong :premises (@p1587) :args (@t1626)) % 1.61/1.80 (step @p1589 :rule trans :premises (@p1588 @p1581)) % 1.61/1.80 (step @p1590 :rule cong :premises (@p942 @p1589) :args (@t1627)) % 1.61/1.80 (step @p1591 :rule cong :premises (@p1590) :args (@t1628)) % 1.61/1.80 (step @p1592 :rule trans :premises (@p1591 @p1579)) % 1.61/1.80 (step @p1593 :rule cong :premises (@p950 @p1592) :args (@t1629)) % 1.61/1.80 (step @p1594 :rule cong :premises (@p1593) :args (@t1630)) % 1.61/1.80 (step @p1595 :rule trans :premises (@p1594 @p1561)) % 1.61/1.80 (step @p1596 :rule refl :args (tptp.breln1invI)) % 1.61/1.80 (step @p1597 :rule cong :premises (@p1596 @p1595) :args (@t1631)) % 1.61/1.80 (step @p1598 :rule eq_resolve :premises (@p293 @p1597)) % 1.61/1.80 (step @p1599 :rule cong :premises (@p1598 @p1543) :args (@t3908)) % 1.61/1.80 (step @p1600 :rule refl :args ((tptp.breln1 @t2 @t1619))) % 1.61/1.80 (step @p1601 :rule cong :premises (@p1066 @p1502) :args (@t2117)) % 1.61/1.80 (step @p1602 :rule trans :premises (@p1601 @p1600)) % 1.61/1.80 (step @p1603 :rule ho_cong :premises (@p1069 @p1502)) % 1.61/1.80 (step @p1604 :rule cong :premises (@p1603 @p1602) :args ((= (_ @t1557 @t2103) @t2117))) % 1.61/1.80 (step @p1605 :rule symm :premises (@p1604)) % 1.61/1.80 (step @p1606 :rule refl :args (@t1620)) % 1.61/1.80 (step @p1607 :rule eq_resolve :premises (@p1606 @p1605)) % 1.61/1.80 (step @p1608 :rule ho_cong :premises (@p1069 @p1515)) % 1.61/1.80 (step @p1609 :rule trans :premises (@p1608 @p1607)) % 1.61/1.80 (step @p1610 :rule nary_cong :premises (@p833 @p1609) :args (@t3909)) % 1.61/1.80 (step @p1611 :rule cong :premises (@p1610) :args ((forall @t1560 @t3909))) % 1.61/1.80 (step @p1612 :rule bool-impl-elim :args (@t1558 @t1620)) % 1.61/1.80 (step @p1613 :rule cong :premises (@p1612) :args (@t1621)) % 1.61/1.80 (step @p1614 :rule trans :premises (@p1613 @p1611)) % 1.61/1.80 (step @p1615 :rule refl :args (tptp.breln1invprop)) % 1.61/1.80 (step @p1616 :rule cong :premises (@p1615 @p1614) :args (@t1622)) % 1.61/1.80 (step @p1617 :rule eq_resolve :premises (@p292 @p1616)) % 1.61/1.80 (step @p1618 :rule cong :premises (@p1617 @p1599) :args (@t3910)) % 1.61/1.80 (step @p1619 :rule aci_norm :args ((= @t3912 @t2135))) % 1.61/1.80 (step @p1620 :rule cong :premises (@p1619) :args (@t3913)) % 1.61/1.80 (step @p1621 :rule quant-merge-prenex :args ((= (forall @t1560 @t3915) @t3913))) % 1.61/1.80 (step @p1622 :rule alpha_equiv :args (@t3916 (@list @t2118) @t3693)) % 1.61/1.80 (step @p1623 :rule nary_cong :premises (@p819 @p1622) :args (@t3917)) % 1.61/1.80 (step @p1624 :rule quant-miniscope-or :args ((= @t3915 @t3917))) % 1.61/1.80 (step @p1625 :rule trans :premises (@p1624 @p1623)) % 1.61/1.80 (step @p1626 :rule symm :premises (@p1625)) % 1.61/1.80 (step @p1627 :rule cong :premises (@p1626) :args ((forall @t1560 (or @t2038 @t3926)))) % 1.61/1.80 (step @p1628 :rule trans :premises (@p1627 @p1621)) % 1.61/1.80 (step @p1629 :rule trans :premises (@p1628 @p1620)) % 1.61/1.80 (step @p1630 :rule refl :args (@t3926)) % 1.61/1.80 (step @p1631 :rule nary_cong :premises (@p833 @p1630) :args (@t3927)) % 1.61/1.80 (step @p1632 :rule cong :premises (@p1631) :args ((forall @t1560 @t3927))) % 1.61/1.80 (step @p1633 :rule trans :premises (@p1632 @p1629)) % 1.61/1.80 (step @p1634 :rule bool-impl-elim :args (@t1558 @t3926)) % 1.61/1.80 (step @p1635 :rule cong :premises (@p1634) :args ((forall @t1560 (=> @t1558 @t3926)))) % 1.61/1.80 (step @p1636 :rule trans :premises (@p1635 @p1633)) % 1.61/1.80 (step @p1637 :rule refl :args (@t1008)) % 1.61/1.80 (step @p1638 :rule refl :args (@t3921)) % 1.61/1.80 (step @p1639 :rule refl :args (@t3925)) % 1.61/1.80 (step @p1640 :rule nary_cong :premises (@p858 @p1639 @p1638 @p1637) :args (@t3928)) % 1.61/1.80 (step @p1641 :rule cong :premises (@p1640) :args ((forall @t1003 @t3928))) % 1.61/1.80 (step @p1642 :rule aci_norm :args ((= (or @t3619 @t3929) @t3928))) % 1.61/1.80 (step @p1643 :rule aci_norm :args ((= (or @t3925 (or @t3921 @t1008)) @t3929))) % 1.61/1.80 (step @p1644 :rule bool-impl-elim :args (@t3920 @t1008)) % 1.61/1.80 (step @p1645 :rule nary_cong :premises (@p1639 @p1644) :args ((or @t3925 @t3930))) % 1.61/1.80 (step @p1646 :rule trans :premises (@p1645 @p1643)) % 1.61/1.80 (step @p1647 :rule bool-impl-elim :args (@t3924 @t3930)) % 1.61/1.80 (step @p1648 :rule trans :premises (@p1647 @p1646)) % 1.61/1.80 (step @p1649 :rule refl :args (@t3619)) % 1.61/1.80 (step @p1650 :rule nary_cong :premises (@p1649 @p1648) :args ((or @t3619 @t3931))) % 1.61/1.80 (step @p1651 :rule trans :premises (@p1650 @p1642)) % 1.61/1.80 (step @p1652 :rule bool-impl-elim :args (@t1603 @t3931)) % 1.61/1.80 (step @p1653 :rule trans :premises (@p1652 @p1651)) % 1.61/1.80 (step @p1654 :rule cong :premises (@p1653) :args ((forall @t1003 (=> @t1603 @t3931)))) % 1.61/1.80 (step @p1655 :rule trans :premises (@p1654 @p1641)) % 1.61/1.80 (step @p1656 :rule refl :args (@t1008)) % 1.61/1.80 (step @p1657 :rule aci_norm :args ((= @t3933 @t3919))) % 1.61/1.80 (step @p1658 :rule cong :premises (@p1657) :args (@t3934)) % 1.61/1.80 (step @p1659 :rule quant-merge-prenex :args ((= (forall @t9 @t3936) @t3934))) % 1.61/1.80 (step @p1660 :rule alpha_equiv :args (@t3937 (@list @t2120) @t3627)) % 1.61/1.80 (step @p1661 :rule nary_cong :premises (@p869 @p1660) :args (@t3938)) % 1.61/1.80 (step @p1662 :rule quant-miniscope-or :args ((= @t3936 @t3938))) % 1.61/1.80 (step @p1663 :rule trans :premises (@p1662 @p1661)) % 1.61/1.80 (step @p1664 :rule symm :premises (@p1663)) % 1.61/1.80 (step @p1665 :rule cong :premises (@p1664) :args ((forall @t9 (or @t2125 @t3939)))) % 1.61/1.80 (step @p1666 :rule trans :premises (@p1665 @p1659)) % 1.61/1.80 (step @p1667 :rule trans :premises (@p1666 @p1658)) % 1.61/1.80 (step @p1668 :rule refl :args (@t3939)) % 1.61/1.80 (step @p1669 :rule nary_cong :premises (@p883 @p1668) :args (@t3940)) % 1.61/1.80 (step @p1670 :rule cong :premises (@p1669) :args ((forall @t9 @t3940))) % 1.61/1.80 (step @p1671 :rule trans :premises (@p1670 @p1667)) % 1.61/1.80 (step @p1672 :rule bool-impl-elim :args (@t7 @t3939)) % 1.61/1.80 (step @p1673 :rule cong :premises (@p1672) :args ((forall @t9 (=> @t7 @t3939)))) % 1.61/1.80 (step @p1674 :rule trans :premises (@p1673 @p1671)) % 1.61/1.80 (step @p1675 :rule nary_cong :premises (@p930 @p924 @p1022) :args (@t3941)) % 1.61/1.80 (step @p1676 :rule cong :premises (@p1675) :args ((forall @t70 @t3941))) % 1.61/1.80 (step @p1677 :rule aci_norm :args ((= (or @t3636 @t3942) @t3941))) % 1.61/1.80 (step @p1678 :rule bool-impl-elim :args (@t995 @t941)) % 1.61/1.80 (step @p1679 :rule nary_cong :premises (@p935 @p1678) :args ((or @t3636 @t1009))) % 1.61/1.80 (step @p1680 :rule trans :premises (@p1679 @p1677)) % 1.61/1.80 (step @p1681 :rule bool-impl-elim :args (@t21 @t1009)) % 1.61/1.80 (step @p1682 :rule trans :premises (@p1681 @p1680)) % 1.61/1.80 (step @p1683 :rule cong :premises (@p1682) :args (@t1609)) % 1.61/1.80 (step @p1684 :rule trans :premises (@p1683 @p1676)) % 1.61/1.80 (step @p1685 :rule cong :premises (@p942 @p1684) :args (@t1610)) % 1.61/1.80 (step @p1686 :rule cong :premises (@p1685) :args (@t1611)) % 1.61/1.80 (step @p1687 :rule trans :premises (@p1686 @p1674)) % 1.61/1.80 (step @p1688 :rule cong :premises (@p1687 @p1656) :args (@t1612)) % 1.61/1.80 (step @p1689 :rule aci_norm :args ((= @t3944 @t3923))) % 1.61/1.80 (step @p1690 :rule cong :premises (@p1689) :args (@t3945)) % 1.61/1.80 (step @p1691 :rule quant-merge-prenex :args ((= (forall @t9 @t3947) @t3945))) % 1.61/1.80 (step @p1692 :rule alpha_equiv :args (@t3948 (@list @t2128) @t3627)) % 1.61/1.80 (step @p1693 :rule nary_cong :premises (@p869 @p1692) :args (@t3949)) % 1.61/1.80 (step @p1694 :rule quant-miniscope-or :args ((= @t3947 @t3949))) % 1.61/1.80 (step @p1695 :rule trans :premises (@p1694 @p1693)) % 1.61/1.80 (step @p1696 :rule symm :premises (@p1695)) % 1.61/1.80 (step @p1697 :rule cong :premises (@p1696) :args ((forall @t9 (or @t2125 @t3950)))) % 1.61/1.80 (step @p1698 :rule trans :premises (@p1697 @p1691)) % 1.61/1.80 (step @p1699 :rule trans :premises (@p1698 @p1690)) % 1.61/1.80 (step @p1700 :rule refl :args (@t3950)) % 1.61/1.80 (step @p1701 :rule nary_cong :premises (@p883 @p1700) :args (@t3951)) % 1.61/1.80 (step @p1702 :rule cong :premises (@p1701) :args ((forall @t9 @t3951))) % 1.61/1.80 (step @p1703 :rule trans :premises (@p1702 @p1699)) % 1.61/1.80 (step @p1704 :rule bool-impl-elim :args (@t7 @t3950)) % 1.61/1.80 (step @p1705 :rule cong :premises (@p1704) :args ((forall @t9 (=> @t7 @t3950)))) % 1.61/1.80 (step @p1706 :rule trans :premises (@p1705 @p1703)) % 1.61/1.80 (step @p1707 :rule nary_cong :premises (@p930 @p1023 @p923) :args (@t3952)) % 1.61/1.80 (step @p1708 :rule cong :premises (@p1707) :args ((forall @t70 @t3952))) % 1.61/1.80 (step @p1709 :rule aci_norm :args ((= (or @t3636 @t3953) @t3952))) % 1.61/1.80 (step @p1710 :rule bool-impl-elim :args (@t941 @t995)) % 1.61/1.80 (step @p1711 :rule nary_cong :premises (@p935 @p1710) :args ((or @t3636 @t996))) % 1.61/1.80 (step @p1712 :rule trans :premises (@p1711 @p1709)) % 1.61/1.80 (step @p1713 :rule bool-impl-elim :args (@t21 @t996)) % 1.61/1.80 (step @p1714 :rule trans :premises (@p1713 @p1712)) % 1.61/1.80 (step @p1715 :rule cong :premises (@p1714) :args (@t1599)) % 1.61/1.80 (step @p1716 :rule trans :premises (@p1715 @p1708)) % 1.61/1.80 (step @p1717 :rule cong :premises (@p942 @p1716) :args (@t1600)) % 1.61/1.80 (step @p1718 :rule cong :premises (@p1717) :args (@t1601)) % 1.61/1.80 (step @p1719 :rule trans :premises (@p1718 @p1706)) % 1.61/1.80 (step @p1720 :rule cong :premises (@p1719 @p1688) :args (@t1613)) % 1.61/1.80 (step @p1721 :rule cong :premises (@p946 @p1720) :args (@t1614)) % 1.61/1.80 (step @p1722 :rule cong :premises (@p1721) :args (@t1615)) % 1.61/1.80 (step @p1723 :rule trans :premises (@p1722 @p1655)) % 1.61/1.80 (step @p1724 :rule cong :premises (@p950 @p1723) :args (@t1616)) % 1.61/1.80 (step @p1725 :rule cong :premises (@p1724) :args (@t1617)) % 1.61/1.80 (step @p1726 :rule trans :premises (@p1725 @p1636)) % 1.61/1.80 (step @p1727 :rule refl :args (tptp.eqbreln1)) % 1.61/1.80 (step @p1728 :rule cong :premises (@p1727 @p1726) :args (@t1618)) % 1.61/1.80 (step @p1729 :rule eq_resolve :premises (@p291 @p1728)) % 1.61/1.80 (step @p1730 :rule cong :premises (@p1729 @p1618) :args (@t3954)) % 1.61/1.80 (step @p1731 :rule aci_norm :args ((= @t3956 @t2141))) % 1.61/1.80 (step @p1732 :rule cong :premises (@p1731) :args (@t3957)) % 1.61/1.80 (step @p1733 :rule quant-merge-prenex :args ((= (forall @t1560 @t3959) @t3957))) % 1.61/1.80 (step @p1734 :rule alpha_equiv :args (@t3960 (@list @t2137) @t3693)) % 1.61/1.80 (step @p1735 :rule nary_cong :premises (@p819 @p1734) :args (@t3961)) % 1.61/1.80 (step @p1736 :rule quant-miniscope-or :args ((= @t3959 @t3961))) % 1.61/1.80 (step @p1737 :rule trans :premises (@p1736 @p1735)) % 1.61/1.80 (step @p1738 :rule symm :premises (@p1737)) % 1.61/1.80 (step @p1739 :rule cong :premises (@p1738) :args ((forall @t1560 (or @t2038 @t3963)))) % 1.61/1.80 (step @p1740 :rule trans :premises (@p1739 @p1733)) % 1.61/1.80 (step @p1741 :rule trans :premises (@p1740 @p1732)) % 1.61/1.80 (step @p1742 :rule refl :args (@t3963)) % 1.61/1.80 (step @p1743 :rule nary_cong :premises (@p833 @p1742) :args (@t3964)) % 1.61/1.80 (step @p1744 :rule cong :premises (@p1743) :args ((forall @t1560 @t3964))) % 1.61/1.80 (step @p1745 :rule trans :premises (@p1744 @p1741)) % 1.61/1.80 (step @p1746 :rule bool-impl-elim :args (@t1558 @t3963)) % 1.61/1.80 (step @p1747 :rule cong :premises (@p1746) :args ((forall @t1560 (=> @t1558 @t3963)))) % 1.61/1.80 (step @p1748 :rule trans :premises (@p1747 @p1745)) % 1.61/1.80 (step @p1749 :rule refl :args (@t3962)) % 1.61/1.80 (step @p1750 :rule refl :args (@t994)) % 1.61/1.80 (step @p1751 :rule cong :premises (@p1750 @p1749) :args ((= @t994 @t3962))) % 1.61/1.80 (step @p1752 :rule symm :premises (@p1751)) % 1.61/1.80 (step @p1753 :rule eq_resolve :premises (@p1750 @p1752)) % 1.61/1.80 (step @p1754 :rule nary_cong :premises (@p858 @p1639 @p1753) :args (@t3965)) % 1.61/1.80 (step @p1755 :rule cong :premises (@p1754) :args ((forall @t1003 @t3965))) % 1.61/1.80 (step @p1756 :rule aci_norm :args ((= (or @t3619 (or @t3925 @t994)) @t3965))) % 1.61/1.80 (step @p1757 :rule bool-impl-elim :args (@t3924 @t994)) % 1.61/1.80 (step @p1758 :rule nary_cong :premises (@p1649 @p1757) :args ((or @t3619 @t3966))) % 1.61/1.80 (step @p1759 :rule trans :premises (@p1758 @p1756)) % 1.61/1.80 (step @p1760 :rule bool-impl-elim :args (@t1603 @t3966)) % 1.61/1.80 (step @p1761 :rule trans :premises (@p1760 @p1759)) % 1.61/1.80 (step @p1762 :rule cong :premises (@p1761) :args ((forall @t1003 (=> @t1603 @t3966)))) % 1.61/1.80 (step @p1763 :rule trans :premises (@p1762 @p1755)) % 1.61/1.80 (step @p1764 :rule refl :args (@t994)) % 1.61/1.80 (step @p1765 :rule cong :premises (@p1719 @p1764) :args (@t1602)) % 1.61/1.80 (step @p1766 :rule cong :premises (@p946 @p1765) :args (@t1604)) % 1.61/1.80 (step @p1767 :rule cong :premises (@p1766) :args (@t1605)) % 1.61/1.80 (step @p1768 :rule trans :premises (@p1767 @p1763)) % 1.61/1.80 (step @p1769 :rule cong :premises (@p950 @p1768) :args (@t1606)) % 1.61/1.80 (step @p1770 :rule cong :premises (@p1769) :args (@t1607)) % 1.61/1.80 (step @p1771 :rule trans :premises (@p1770 @p1748)) % 1.61/1.80 (step @p1772 :rule refl :args (tptp.subbreln1)) % 1.61/1.80 (step @p1773 :rule cong :premises (@p1772 @p1771) :args (@t1608)) % 1.61/1.80 (step @p1774 :rule eq_resolve :premises (@p290 @p1773)) % 1.61/1.80 (step @p1775 :rule cong :premises (@p1774 @p1730) :args (@t3967)) % 1.61/1.80 (step @p1776 :rule eq-symm :args (@t2155 tptp.breln1all1)) % 1.61/1.80 (step @p1777 :rule refl :args (tptp.breln1all1)) % 1.61/1.80 (step @p1778 :rule aci_norm :args ((= @t3969 @t2153))) % 1.61/1.80 (step @p1779 :rule cong :premises (@p1778) :args (@t3970)) % 1.61/1.80 (step @p1780 :rule quant-merge-prenex :args ((= (forall @t1560 @t3972) @t3970))) % 1.61/1.80 (step @p1781 :rule alpha_equiv :args (@t3973 (@list @t2144 @t2143) (@list @t143 @t3974))) % 1.61/1.80 (step @p1782 :rule nary_cong :premises (@p819 @p1781) :args (@t3975)) % 1.61/1.80 (step @p1783 :rule quant-miniscope-or :args ((= @t3972 @t3975))) % 1.61/1.80 (step @p1784 :rule trans :premises (@p1783 @p1782)) % 1.61/1.80 (step @p1785 :rule symm :premises (@p1784)) % 1.61/1.80 (step @p1786 :rule cong :premises (@p1785) :args ((forall @t1560 (or @t2038 @t3984)))) % 1.61/1.80 (step @p1787 :rule trans :premises (@p1786 @p1780)) % 1.61/1.80 (step @p1788 :rule trans :premises (@p1787 @p1779)) % 1.61/1.80 (step @p1789 :rule refl :args (@t3984)) % 1.61/1.80 (step @p1790 :rule nary_cong :premises (@p833 @p1789) :args (@t3985)) % 1.61/1.80 (step @p1791 :rule cong :premises (@p1790) :args ((forall @t1560 @t3985))) % 1.61/1.80 (step @p1792 :rule trans :premises (@p1791 @p1788)) % 1.61/1.80 (step @p1793 :rule bool-impl-elim :args (@t1558 @t3984)) % 1.61/1.80 (step @p1794 :rule cong :premises (@p1793) :args ((forall @t1560 (=> @t1558 @t3984)))) % 1.61/1.80 (step @p1795 :rule trans :premises (@p1794 @p1792)) % 1.61/1.80 (step @p1796 :rule aci_norm :args ((= @t3987 @t3982))) % 1.61/1.80 (step @p1797 :rule cong :premises (@p1796) :args (@t3988)) % 1.61/1.80 (step @p1798 :rule quant-merge-prenex :args ((= (forall @t150 @t3990) @t3988))) % 1.61/1.80 (step @p1799 :rule alpha_equiv :args (@t3991 (@list @t3974) @t3992)) % 1.61/1.80 (step @p1800 :rule refl :args (@t3981)) % 1.61/1.80 (step @p1801 :rule nary_cong :premises (@p1800 @p1799) :args (@t3993)) % 1.61/1.80 (step @p1802 :rule quant-miniscope-or :args ((= @t3990 @t3993))) % 1.61/1.80 (step @p1803 :rule trans :premises (@p1802 @p1801)) % 1.61/1.80 (step @p1804 :rule symm :premises (@p1803)) % 1.61/1.80 (step @p1805 :rule cong :premises (@p1804) :args ((forall @t150 (or @t3981 @t3995)))) % 1.61/1.80 (step @p1806 :rule trans :premises (@p1805 @p1798)) % 1.61/1.80 (step @p1807 :rule trans :premises (@p1806 @p1797)) % 1.61/1.80 (step @p1808 :rule bool-impl-elim :args (@t3980 @t3995)) % 1.61/1.80 (step @p1809 :rule cong :premises (@p1808) :args ((forall @t150 (=> @t3980 @t3995)))) % 1.61/1.80 (step @p1810 :rule trans :premises (@p1809 @p1807)) % 1.61/1.80 (step @p1811 :rule refl :args (@t2877)) % 1.61/1.80 (step @p1812 :rule refl :args (@t144)) % 1.61/1.80 (step @p1813 :rule cong :premises (@p1812 @p1811) :args ((= @t144 @t2877))) % 1.61/1.80 (step @p1814 :rule symm :premises (@p1813)) % 1.61/1.80 (step @p1815 :rule eq_resolve :premises (@p1812 @p1814)) % 1.61/1.80 (step @p1816 :rule refl :args (@t3994)) % 1.61/1.80 (step @p1817 :rule refl :args (@t938)) % 1.61/1.80 (step @p1818 :rule cong :premises (@p1817 @p1816) :args ((= @t938 @t3994))) % 1.61/1.80 (step @p1819 :rule symm :premises (@p1818)) % 1.61/1.80 (step @p1820 :rule eq_resolve :premises (@p1817 @p1819)) % 1.61/1.80 (step @p1821 :rule cong :premises (@p1820) :args (@t3996)) % 1.61/1.80 (step @p1822 :rule nary_cong :premises (@p1821 @p1815) :args (@t3997)) % 1.61/1.80 (step @p1823 :rule cong :premises (@p1822) :args ((forall @t9 @t3997))) % 1.61/1.80 (step @p1824 :rule bool-impl-elim :args (@t938 @t144)) % 1.61/1.80 (step @p1825 :rule cong :premises (@p1824) :args (@t939)) % 1.61/1.80 (step @p1826 :rule trans :premises (@p1825 @p1823)) % 1.61/1.80 (step @p1827 :rule aci_norm :args ((= @t3999 @t3979))) % 1.61/1.80 (step @p1828 :rule cong :premises (@p1827) :args (@t4000)) % 1.61/1.80 (step @p1829 :rule quant-merge-prenex :args ((= (forall @t9 @t4002) @t4000))) % 1.61/1.80 (step @p1830 :rule alpha_equiv :args (@t4003 (@list @t2147) @t3627)) % 1.61/1.80 (step @p1831 :rule nary_cong :premises (@p869 @p1830) :args (@t4004)) % 1.61/1.80 (step @p1832 :rule quant-miniscope-or :args ((= @t4002 @t4004))) % 1.61/1.80 (step @p1833 :rule trans :premises (@p1832 @p1831)) % 1.61/1.80 (step @p1834 :rule symm :premises (@p1833)) % 1.61/1.80 (step @p1835 :rule cong :premises (@p1834) :args ((forall @t9 (or @t2125 @t4006)))) % 1.61/1.80 (step @p1836 :rule trans :premises (@p1835 @p1829)) % 1.61/1.80 (step @p1837 :rule trans :premises (@p1836 @p1828)) % 1.61/1.80 (step @p1838 :rule refl :args (@t4006)) % 1.61/1.80 (step @p1839 :rule nary_cong :premises (@p883 @p1838) :args (@t4007)) % 1.61/1.80 (step @p1840 :rule cong :premises (@p1839) :args ((forall @t9 @t4007))) % 1.61/1.80 (step @p1841 :rule trans :premises (@p1840 @p1837)) % 1.61/1.80 (step @p1842 :rule bool-impl-elim :args (@t7 @t4006)) % 1.61/1.80 (step @p1843 :rule cong :premises (@p1842) :args ((forall @t9 (=> @t7 @t4006)))) % 1.61/1.80 (step @p1844 :rule trans :premises (@p1843 @p1841)) % 1.61/1.80 (step @p1845 :rule refl :args ((_ @t143 @t633))) % 1.61/1.80 (step @p1846 :rule cong :premises (@p892) :args (@t4005)) % 1.61/1.80 (step @p1847 :rule trans :premises (@p1846 @p1845)) % 1.61/1.80 (step @p1848 :rule refl :args (@t143)) % 1.61/1.80 (step @p1849 :rule ho_cong :premises (@p1848 @p892)) % 1.61/1.80 (step @p1850 :rule cong :premises (@p1849 @p1847) :args ((= (_ @t143 @t2768) @t4005))) % 1.61/1.80 (step @p1851 :rule symm :premises (@p1850)) % 1.61/1.80 (step @p1852 :rule refl :args (@t940)) % 1.61/1.80 (step @p1853 :rule eq_resolve :premises (@p1852 @p1851)) % 1.61/1.80 (step @p1854 :rule ho_cong :premises (@p1848 @p909)) % 1.61/1.80 (step @p1855 :rule trans :premises (@p1854 @p1853)) % 1.61/1.80 (step @p1856 :rule nary_cong :premises (@p930 @p1023 @p1855) :args (@t4008)) % 1.61/1.80 (step @p1857 :rule cong :premises (@p1856) :args ((forall @t70 @t4008))) % 1.61/1.80 (step @p1858 :rule aci_norm :args ((= (or @t3636 @t4009) @t4008))) % 1.61/1.80 (step @p1859 :rule bool-impl-elim :args (@t941 @t940)) % 1.61/1.80 (step @p1860 :rule nary_cong :premises (@p935 @p1859) :args ((or @t3636 @t942))) % 1.61/1.80 (step @p1861 :rule trans :premises (@p1860 @p1858)) % 1.61/1.80 (step @p1862 :rule bool-impl-elim :args (@t21 @t942)) % 1.61/1.80 (step @p1863 :rule trans :premises (@p1862 @p1861)) % 1.61/1.80 (step @p1864 :rule cong :premises (@p1863) :args (@t1552)) % 1.61/1.80 (step @p1865 :rule trans :premises (@p1864 @p1857)) % 1.61/1.80 (step @p1866 :rule cong :premises (@p942 @p1865) :args (@t1553)) % 1.61/1.80 (step @p1867 :rule cong :premises (@p1866) :args (@t1554)) % 1.61/1.80 (step @p1868 :rule trans :premises (@p1867 @p1844)) % 1.61/1.80 (step @p1869 :rule cong :premises (@p1868 @p1826) :args (@t1555)) % 1.61/1.80 (step @p1870 :rule cong :premises (@p1869) :args (@t1556)) % 1.61/1.80 (step @p1871 :rule trans :premises (@p1870 @p1810)) % 1.61/1.80 (step @p1872 :rule cong :premises (@p950 @p1871) :args (@t1559)) % 1.61/1.80 (step @p1873 :rule cong :premises (@p1872) :args (@t1561)) % 1.61/1.80 (step @p1874 :rule trans :premises (@p1873 @p1795)) % 1.61/1.80 (step @p1875 :rule cong :premises (@p1874 @p1777) :args ((= @t1561 tptp.breln1all1))) % 1.61/1.80 (step @p1876 :rule trans :premises (@p1875 @p1776)) % 1.61/1.80 (step @p1877 :rule eq-symm :args (tptp.breln1all1 @t1561)) % 1.61/1.80 (step @p1878 :rule trans :premises (@p1877 @p1876)) % 1.61/1.80 (step @p1879 :rule eq_resolve :premises (@p289 @p1878)) % 1.61/1.80 (step @p1880 :rule cong :premises (@p1879 @p1775) :args (@t4010)) % 1.61/1.80 (step @p1881 :rule lambda-elim :args ((= @t4011 @t67))) % 1.61/1.80 (step @p1882 :rule refl :args (@t2)) % 1.61/1.80 (step @p1883 :rule cong :premises (@p1882 @p1882 @p1881) :args (@t4012)) % 1.61/1.80 (step @p1884 :rule cong :premises (@p1882 @p1883) :args (@t4013)) % 1.61/1.80 (step @p1885 :rule cong :premises (@p1884) :args ((forall @t1596 @t4013))) % 1.61/1.80 (step @p1886 :rule refl :args ((tptp.breln1 @t2 @t1594))) % 1.61/1.80 (step @p1887 :rule refl :args ((tptp.dpsetconstr @t2 @t2 @t860))) % 1.61/1.80 (step @p1888 :rule refl :args (@t2166)) % 1.61/1.80 (step @p1889 :rule cong :premises (@p1888) :args (@t4011)) % 1.61/1.80 (step @p1890 :rule cong :premises (@p1066 @p1066 @p1889) :args (@t4012)) % 1.61/1.80 (step @p1891 :rule trans :premises (@p1890 @p1887)) % 1.61/1.80 (step @p1892 :rule cong :premises (@p1066 @p1891) :args (@t4013)) % 1.61/1.80 (step @p1893 :rule trans :premises (@p1892 @p1886)) % 1.61/1.80 (step @p1894 :rule ho_cong :premises (@p1069 @p1891)) % 1.61/1.80 (step @p1895 :rule cong :premises (@p1894 @p1893) :args ((= (_ @t1557 @t4012) @t4013))) % 1.61/1.80 (step @p1896 :rule symm :premises (@p1895)) % 1.61/1.80 (step @p1897 :rule refl :args (@t1595)) % 1.61/1.80 (step @p1898 :rule eq_resolve :premises (@p1897 @p1896)) % 1.61/1.80 (step @p1899 :rule refl :args (@t1593)) % 1.61/1.80 (step @p1900 :rule ho_cong :premises (@p1899 @p1889)) % 1.61/1.80 (step @p1901 :rule cong :premises (@p1900 @p1891) :args ((= (_ @t1593 @t4011) @t4012))) % 1.61/1.80 (step @p1902 :rule symm :premises (@p1901)) % 1.61/1.80 (step @p1903 :rule refl :args (@t1594)) % 1.61/1.80 (step @p1904 :rule eq_resolve :premises (@p1903 @p1902)) % 1.61/1.80 (step @p1905 :rule refl :args (@t76)) % 1.61/1.80 (step @p1906 :rule cong :premises (@p1905 @p1888) :args ((= @t76 @t2166))) % 1.61/1.80 (step @p1907 :rule symm :premises (@p1906)) % 1.61/1.80 (step @p1908 :rule eq_resolve :premises (@p1905 @p1907)) % 1.61/1.80 (step @p1909 :rule cong :premises (@p1908) :args (@t860)) % 1.61/1.80 (step @p1910 :rule ho_cong :premises (@p1899 @p1909)) % 1.61/1.80 (step @p1911 :rule trans :premises (@p1910 @p1904)) % 1.61/1.80 (step @p1912 :rule ho_cong :premises (@p1069 @p1911)) % 1.61/1.80 (step @p1913 :rule trans :premises (@p1912 @p1898)) % 1.61/1.80 (step @p1914 :rule cong :premises (@p1913) :args (@t1597)) % 1.61/1.80 (step @p1915 :rule trans :premises (@p1914 @p1885)) % 1.61/1.80 (step @p1916 :rule refl :args (tptp.setOfPairsIsBReln1)) % 1.61/1.80 (step @p1917 :rule cong :premises (@p1916 @p1915) :args (@t1598)) % 1.61/1.80 (step @p1918 :rule eq_resolve :premises (@p288 @p1917)) % 1.61/1.80 (step @p1919 :rule cong :premises (@p1918 @p1880) :args (@t4014)) % 1.61/1.80 (step @p1920 :rule aci_norm :args ((= @t4016 @t2173))) % 1.61/1.80 (step @p1921 :rule cong :premises (@p1920) :args (@t4017)) % 1.61/1.80 (step @p1922 :rule quant-merge-prenex :args ((= (forall @t863 @t4019) @t4017))) % 1.61/1.80 (step @p1923 :rule alpha_equiv :args (@t4020 (@list @t2156 @t2158) (@list @t937 @t4021))) % 1.61/1.80 (step @p1924 :rule refl :args (@t2172)) % 1.61/1.80 (step @p1925 :rule nary_cong :premises (@p1924 @p1923) :args (@t4022)) % 1.61/1.80 (step @p1926 :rule quant-miniscope-or :args ((= @t4019 @t4022))) % 1.61/1.80 (step @p1927 :rule trans :premises (@p1926 @p1925)) % 1.61/1.80 (step @p1928 :rule symm :premises (@p1927)) % 1.61/1.80 (step @p1929 :rule cong :premises (@p1928) :args ((forall @t863 (or @t2172 @t4032)))) % 1.61/1.80 (step @p1930 :rule trans :premises (@p1929 @p1922)) % 1.61/1.80 (step @p1931 :rule trans :premises (@p1930 @p1921)) % 1.61/1.80 (step @p1932 :rule bool-impl-elim :args (@t2171 @t4032)) % 1.61/1.80 (step @p1933 :rule cong :premises (@p1932) :args ((forall @t863 (=> @t2171 @t4032)))) % 1.61/1.80 (step @p1934 :rule trans :premises (@p1933 @p1931)) % 1.61/1.80 (step @p1935 :rule aci_norm :args ((= @t4034 @t4030))) % 1.61/1.80 (step @p1936 :rule cong :premises (@p1935) :args (@t4035)) % 1.61/1.80 (step @p1937 :rule quant-merge-prenex :args ((= (forall @t1584 @t4037) @t4035))) % 1.61/1.80 (step @p1938 :rule alpha_equiv :args (@t4038 (@list @t4021) @t3992)) % 1.61/1.80 (step @p1939 :rule refl :args (@t4027)) % 1.61/1.80 (step @p1940 :rule refl :args (@t4029)) % 1.61/1.80 (step @p1941 :rule nary_cong :premises (@p1940 @p1939 @p1938) :args (@t4039)) % 1.61/1.80 (step @p1942 :rule quant-miniscope-or :args ((= @t4037 @t4039))) % 1.61/1.80 (step @p1943 :rule trans :premises (@p1942 @p1941)) % 1.61/1.80 (step @p1944 :rule symm :premises (@p1943)) % 1.61/1.80 (step @p1945 :rule cong :premises (@p1944) :args ((forall @t1584 (or @t4029 @t4027 @t4048)))) % 1.61/1.80 (step @p1946 :rule trans :premises (@p1945 @p1937)) % 1.61/1.80 (step @p1947 :rule trans :premises (@p1946 @p1936)) % 1.61/1.80 (step @p1948 :rule refl :args (@t4048)) % 1.61/1.80 (step @p1949 :rule refl :args (@t4026)) % 1.61/1.80 (step @p1950 :rule refl :args (@t1579)) % 1.61/1.80 (step @p1951 :rule cong :premises (@p1950 @p1949) :args ((= @t1579 @t4026))) % 1.61/1.80 (step @p1952 :rule symm :premises (@p1951)) % 1.61/1.81 (step @p1953 :rule eq_resolve :premises (@p1950 @p1952)) % 1.61/1.81 (step @p1954 :rule cong :premises (@p1953) :args (@t4049)) % 1.61/1.81 (step @p1955 :rule refl :args ((tptp.in @t937 @t1581))) % 1.61/1.81 (step @p1956 :rule refl :args (@t2164)) % 1.61/1.81 (step @p1957 :rule cong :premises (@p1013 @p1956) :args (@t4028)) % 1.61/1.81 (step @p1958 :rule trans :premises (@p1957 @p1955)) % 1.61/1.81 (step @p1959 :rule refl :args (@t1564)) % 1.61/1.81 (step @p1960 :rule ho_cong :premises (@p1959 @p1956)) % 1.61/1.81 (step @p1961 :rule cong :premises (@p1960 @p1958) :args ((= (_ @t1564 @t2164) @t4028))) % 1.61/1.81 (step @p1962 :rule symm :premises (@p1961)) % 1.61/1.81 (step @p1963 :rule refl :args (@t1582)) % 1.61/1.81 (step @p1964 :rule eq_resolve :premises (@p1963 @p1962)) % 1.61/1.81 (step @p1965 :rule refl :args (@t1581)) % 1.61/1.81 (step @p1966 :rule cong :premises (@p1965 @p1956) :args ((= @t1581 @t2164))) % 1.61/1.81 (step @p1967 :rule symm :premises (@p1966)) % 1.61/1.81 (step @p1968 :rule eq_resolve :premises (@p1965 @p1967)) % 1.61/1.81 (step @p1969 :rule ho_cong :premises (@p1959 @p1968)) % 1.61/1.81 (step @p1970 :rule trans :premises (@p1969 @p1964)) % 1.61/1.81 (step @p1971 :rule cong :premises (@p1970) :args (@t4050)) % 1.61/1.81 (step @p1972 :rule nary_cong :premises (@p1971 @p1954 @p1948) :args (@t4051)) % 1.61/1.81 (step @p1973 :rule cong :premises (@p1972) :args ((forall @t1584 @t4051))) % 1.61/1.81 (step @p1974 :rule trans :premises (@p1973 @p1947)) % 1.61/1.81 (step @p1975 :rule aci_norm :args ((= (or @t4050 (or @t4049 @t4048)) @t4051))) % 1.61/1.81 (step @p1976 :rule bool-impl-elim :args (@t1579 @t4048)) % 1.61/1.81 (step @p1977 :rule refl :args (@t4050)) % 1.61/1.81 (step @p1978 :rule nary_cong :premises (@p1977 @p1976) :args ((or @t4050 @t4052))) % 1.61/1.81 (step @p1979 :rule trans :premises (@p1978 @p1975)) % 1.61/1.81 (step @p1980 :rule bool-impl-elim :args (@t1582 @t4052)) % 1.61/1.81 (step @p1981 :rule trans :premises (@p1980 @p1979)) % 1.61/1.81 (step @p1982 :rule cong :premises (@p1981) :args ((forall @t1584 (=> @t1582 @t4052)))) % 1.61/1.81 (step @p1983 :rule trans :premises (@p1982 @p1974)) % 1.61/1.81 (step @p1984 :rule refl :args ((tptp.singleton @t4058))) % 1.61/1.81 (step @p1985 :rule refl :args ((tptp.dsetconstr @t1 @t4057))) % 1.61/1.81 (step @p1986 :rule refl :args ((tptp.in @t1569 @t937))) % 1.61/1.81 (step @p1987 :rule refl :args (@t2157)) % 1.61/1.81 (step @p1988 :rule cong :premises (@p1987 @p1013) :args (@t4023)) % 1.61/1.81 (step @p1989 :rule trans :premises (@p1988 @p1986)) % 1.61/1.81 (step @p1990 :rule refl :args (@t4040)) % 1.61/1.81 (step @p1991 :rule cong :premises (@p1990) :args (@t4041)) % 1.61/1.81 (step @p1992 :rule refl :args (@t2159)) % 1.61/1.81 (step @p1993 :rule cong :premises (@p1992) :args (@t2160)) % 1.61/1.81 (step @p1994 :rule nary_cong :premises (@p1993 @p1991 @p1989) :args (@t4042)) % 1.61/1.81 (step @p1995 :rule cong :premises (@p1994) :args (@t4043)) % 1.61/1.81 (step @p1996 :rule nary_cong :premises (@p1888 @p1995) :args (@t4044)) % 1.61/1.81 (step @p1997 :rule cong :premises (@p1996) :args (@t4045)) % 1.61/1.81 (step @p1998 :rule refl :args (@t1)) % 1.61/1.81 (step @p1999 :rule cong :premises (@p1998 @p1997) :args (@t4046)) % 1.61/1.81 (step @p2000 :rule trans :premises (@p1999 @p1985)) % 1.61/1.81 (step @p2001 :rule cong :premises (@p2000) :args (@t4047)) % 1.61/1.81 (step @p2002 :rule trans :premises (@p2001 @p1984)) % 1.61/1.81 (step @p2003 :rule refl :args (tptp.singleton)) % 1.61/1.81 (step @p2004 :rule ho_cong :premises (@p2003 @p2000)) % 1.61/1.81 (step @p2005 :rule cong :premises (@p2004 @p2002) :args ((= (_ tptp.singleton @t4046) @t4047))) % 1.61/1.81 (step @p2006 :rule symm :premises (@p2005)) % 1.61/1.81 (step @p2007 :rule refl :args ((_ tptp.singleton @t4058))) % 1.61/1.81 (step @p2008 :rule eq_resolve :premises (@p2007 @p2006)) % 1.61/1.81 (step @p2009 :rule refl :args (@t410)) % 1.61/1.81 (step @p2010 :rule ho_cong :premises (@p2009 @p1997)) % 1.61/1.81 (step @p2011 :rule cong :premises (@p2010 @p2000) :args ((= (_ @t410 @t4045) @t4046))) % 1.61/1.81 (step @p2012 :rule symm :premises (@p2011)) % 1.61/1.81 (step @p2013 :rule refl :args (@t4058)) % 1.61/1.81 (step @p2014 :rule eq_resolve :premises (@p2013 @p2012)) % 1.61/1.81 (step @p2015 :rule refl :args (@t4043)) % 1.61/1.81 (step @p2016 :rule nary_cong :premises (@p1908 @p2015) :args (@t4059)) % 1.61/1.81 (step @p2017 :rule cong :premises (@p2016) :args (@t4060)) % 1.61/1.81 (step @p2018 :rule ho_cong :premises (@p2009 @p2017)) % 1.61/1.81 (step @p2019 :rule trans :premises (@p2018 @p2014)) % 1.61/1.81 (step @p2020 :rule ho_cong :premises (@p2003 @p2019)) % 1.61/1.81 (step @p2021 :rule trans :premises (@p2020 @p2008)) % 1.61/1.81 (step @p2022 :rule nary_cong :premises (@p883 @p2021) :args (@t4062)) % 1.61/1.81 (step @p2023 :rule cong :premises (@p2022) :args ((forall @t9 @t4062))) % 1.61/1.81 (step @p2024 :rule bool-impl-elim :args (@t7 @t4061)) % 1.61/1.81 (step @p2025 :rule cong :premises (@p2024) :args ((forall @t9 (=> @t7 @t4061)))) % 1.61/1.81 (step @p2026 :rule trans :premises (@p2025 @p2023)) % 1.61/1.81 (step @p2027 :rule ho_cong :premises (@p895 @p1987)) % 1.61/1.81 (step @p2028 :rule ho_cong :premises (@p2027 @p1013)) % 1.61/1.81 (step @p2029 :rule cong :premises (@p2028 @p1989) :args ((= (_ (_ tptp.in @t2157) @t937) @t4023))) % 1.61/1.81 (step @p2030 :rule symm :premises (@p2029)) % 1.61/1.81 (step @p2031 :rule refl :args (@t1570)) % 1.61/1.81 (step @p2032 :rule eq_resolve :premises (@p2031 @p2030)) % 1.61/1.81 (step @p2033 :rule refl :args (@t1569)) % 1.61/1.81 (step @p2034 :rule cong :premises (@p2033 @p1987) :args ((= @t1569 @t2157))) % 1.61/1.81 (step @p2035 :rule symm :premises (@p2034)) % 1.61/1.81 (step @p2036 :rule eq_resolve :premises (@p2033 @p2035)) % 1.61/1.81 (step @p2037 :rule ho_cong :premises (@p895 @p2036)) % 1.61/1.81 (step @p2038 :rule ho_cong :premises (@p2037 @p1013)) % 1.61/1.81 (step @p2039 :rule trans :premises (@p2038 @p2032)) % 1.61/1.81 (step @p2040 :rule refl :args (@t1571)) % 1.61/1.81 (step @p2041 :rule cong :premises (@p2040 @p1990) :args ((= @t1571 @t4040))) % 1.61/1.81 (step @p2042 :rule symm :premises (@p2041)) % 1.61/1.81 (step @p2043 :rule eq_resolve :premises (@p2040 @p2042)) % 1.61/1.81 (step @p2044 :rule cong :premises (@p2043) :args (@t4053)) % 1.61/1.81 (step @p2045 :rule refl :args (@t1573)) % 1.61/1.81 (step @p2046 :rule cong :premises (@p2045 @p1992) :args ((= @t1573 @t2159))) % 1.61/1.81 (step @p2047 :rule symm :premises (@p2046)) % 1.61/1.81 (step @p2048 :rule eq_resolve :premises (@p2045 @p2047)) % 1.61/1.81 (step @p2049 :rule cong :premises (@p2048) :args (@t4054)) % 1.61/1.81 (step @p2050 :rule nary_cong :premises (@p2049 @p2044 @p2039) :args (@t4055)) % 1.61/1.81 (step @p2051 :rule cong :premises (@p2050) :args (@t4056)) % 1.61/1.81 (step @p2052 :rule aci_norm :args ((= (or @t4054 (or @t4053 @t1570)) @t4055))) % 1.61/1.81 (step @p2053 :rule bool-impl-elim :args (@t1571 @t1570)) % 1.61/1.81 (step @p2054 :rule refl :args (@t4054)) % 1.61/1.81 (step @p2055 :rule nary_cong :premises (@p2054 @p2053) :args ((or @t4054 @t1572))) % 1.61/1.81 (step @p2056 :rule trans :premises (@p2055 @p2052)) % 1.61/1.81 (step @p2057 :rule bool-impl-elim :args (@t1573 @t1572)) % 1.61/1.81 (step @p2058 :rule trans :premises (@p2057 @p2056)) % 1.61/1.81 (step @p2059 :rule cong :premises (@p2058) :args (@t1574)) % 1.61/1.81 (step @p2060 :rule trans :premises (@p2059 @p2051)) % 1.61/1.81 (step @p2061 :rule refl :args (@t76)) % 1.61/1.81 (step @p2062 :rule nary_cong :premises (@p2061 @p2060) :args (@t1575)) % 1.61/1.81 (step @p2063 :rule cong :premises (@p2062) :args (@t1576)) % 1.61/1.81 (step @p2064 :rule refl :args (@t410)) % 1.61/1.81 (step @p2065 :rule ho_cong :premises (@p2064 @p2063)) % 1.61/1.81 (step @p2066 :rule refl :args (tptp.singleton)) % 1.61/1.81 (step @p2067 :rule ho_cong :premises (@p2066 @p2065)) % 1.61/1.81 (step @p2068 :rule cong :premises (@p942 @p2067) :args (@t1577)) % 1.61/1.81 (step @p2069 :rule cong :premises (@p2068) :args (@t1578)) % 1.61/1.81 (step @p2070 :rule trans :premises (@p2069 @p2026)) % 1.61/1.81 (step @p2071 :rule refl :args (@t1579)) % 1.61/1.81 (step @p2072 :rule cong :premises (@p2071 @p2070) :args (@t1580)) % 1.61/1.81 (step @p2073 :rule refl :args (@t1582)) % 1.61/1.81 (step @p2074 :rule cong :premises (@p2073 @p2072) :args (@t1583)) % 1.61/1.81 (step @p2075 :rule cong :premises (@p2074) :args (@t1585)) % 1.61/1.81 (step @p2076 :rule trans :premises (@p2075 @p1983)) % 1.61/1.81 (step @p2077 :rule refl :args (@t2170)) % 1.61/1.81 (step @p2078 :rule nary_cong :premises (@p883 @p2077) :args (@t4063)) % 1.61/1.81 (step @p2079 :rule cong :premises (@p2078) :args ((forall @t9 @t4063))) % 1.61/1.81 (step @p2080 :rule bool-impl-elim :args (@t7 @t2170)) % 1.61/1.81 (step @p2081 :rule cong :premises (@p2080) :args ((forall @t9 (=> @t7 @t2170)))) % 1.61/1.81 (step @p2082 :rule trans :premises (@p2081 @p2079)) % 1.61/1.81 (step @p2083 :rule cong :premises (@p1908) :args (@t4064)) % 1.61/1.81 (step @p2084 :rule refl :args (@t2168)) % 1.61/1.81 (step @p2085 :rule refl :args (@t354)) % 1.61/1.81 (step @p2086 :rule cong :premises (@p2085 @p2084) :args ((= @t354 @t2168))) % 1.61/1.81 (step @p2087 :rule symm :premises (@p2086)) % 1.61/1.81 (step @p2088 :rule eq_resolve :premises (@p2085 @p2087)) % 1.61/1.81 (step @p2089 :rule cong :premises (@p2088) :args (@t4065)) % 1.61/1.81 (step @p2090 :rule nary_cong :premises (@p2089 @p2083) :args (@t4066)) % 1.61/1.81 (step @p2091 :rule cong :premises (@p2090) :args ((forall @t70 @t4066))) % 1.61/1.81 (step @p2092 :rule bool-and-de-morgan :args (@t354 @t76 true)) % 1.61/1.81 (step @p2093 :rule cong :premises (@p2092) :args (@t4067)) % 1.61/1.81 (step @p2094 :rule trans :premises (@p2093 @p2091)) % 1.61/1.81 (step @p2095 :rule cong :premises (@p2094) :args (@t4068)) % 1.61/1.81 (step @p2096 :rule exists-elim :args ((= @t1587 @t4068))) % 1.61/1.81 (step @p2097 :rule trans :premises (@p2096 @p2095)) % 1.61/1.81 (step @p2098 :rule cong :premises (@p942 @p2097) :args (@t1588)) % 1.61/1.81 (step @p2099 :rule cong :premises (@p2098) :args (@t1589)) % 1.61/1.81 (step @p2100 :rule trans :premises (@p2099 @p2082)) % 1.61/1.81 (step @p2101 :rule cong :premises (@p2100 @p2076) :args (@t1590)) % 1.61/1.81 (step @p2102 :rule cong :premises (@p2101) :args (@t1591)) % 1.61/1.81 (step @p2103 :rule trans :premises (@p2102 @p1934)) % 1.61/1.81 (step @p2104 :rule refl :args (tptp.choice2fnsingleton)) % 1.61/1.81 (step @p2105 :rule cong :premises (@p2104 @p2103) :args (@t1592)) % 1.61/1.81 (step @p2106 :rule eq_resolve :premises (@p287 @p2105)) % 1.61/1.81 (step @p2107 :rule cong :premises (@p2106 @p1919) :args (@t4069)) % 1.61/1.81 (step @p2108 :rule refl :args ((tptp.in @t937 @t1563))) % 1.61/1.81 (step @p2109 :rule refl :args (@t2175)) % 1.61/1.81 (step @p2110 :rule cong :premises (@p1013 @p2109) :args (@t2176)) % 1.61/1.81 (step @p2111 :rule trans :premises (@p2110 @p2108)) % 1.61/1.81 (step @p2112 :rule ho_cong :premises (@p1959 @p2109)) % 1.61/1.81 (step @p2113 :rule cong :premises (@p2112 @p2111) :args ((= (_ @t1564 @t2175) @t2176))) % 1.61/1.81 (step @p2114 :rule symm :premises (@p2113)) % 1.61/1.81 (step @p2115 :rule refl :args (@t1565)) % 1.61/1.81 (step @p2116 :rule eq_resolve :premises (@p2115 @p2114)) % 1.61/1.81 (step @p2117 :rule refl :args (@t1563)) % 1.61/1.81 (step @p2118 :rule cong :premises (@p2117 @p2109) :args ((= @t1563 @t2175))) % 1.61/1.81 (step @p2119 :rule symm :premises (@p2118)) % 1.61/1.81 (step @p2120 :rule eq_resolve :premises (@p2117 @p2119)) % 1.61/1.81 (step @p2121 :rule ho_cong :premises (@p1959 @p2120)) % 1.61/1.81 (step @p2122 :rule trans :premises (@p2121 @p2116)) % 1.61/1.81 (step @p2123 :rule cong :premises (@p2122) :args (@t4070)) % 1.61/1.81 (step @p2124 :rule nary_cong :premises (@p2123 @p832) :args (@t4071)) % 1.61/1.81 (step @p2125 :rule cong :premises (@p2124) :args ((forall @t1560 @t4071))) % 1.61/1.81 (step @p2126 :rule bool-impl-elim :args (@t1565 @t1558)) % 1.61/1.81 (step @p2127 :rule cong :premises (@p2126) :args (@t1566)) % 1.61/1.81 (step @p2128 :rule trans :premises (@p2127 @p2125)) % 1.61/1.81 (step @p2129 :rule refl :args (tptp.breln1SetBreln1)) % 1.61/1.81 (step @p2130 :rule cong :premises (@p2129 @p2128) :args (@t1567)) % 1.61/1.81 (step @p2131 :rule eq_resolve :premises (@p286 @p2130)) % 1.61/1.81 (step @p2132 :rule cong :premises (@p2131 @p2107) :args (@t4072)) % 1.61/1.81 (step @p2133 :rule refl :args (tptp.breln1all2)) % 1.61/1.81 (step @p2134 :rule cong :premises (@p2133 @p1874) :args (@t1562)) % 1.61/1.81 (step @p2135 :rule eq_resolve :premises (@p285 @p2134)) % 1.61/1.81 (step @p2136 :rule cong :premises (@p2135 @p2132) :args (@t4073)) % 1.61/1.81 (step @p2137 :rule eq-symm :args (@t2187 tptp.woz1_5)) % 1.61/1.81 (step @p2138 :rule refl :args (tptp.woz1_5)) % 1.61/1.81 (step @p2139 :rule aci_norm :args ((= @t4075 @t2185))) % 1.61/1.81 (step @p2140 :rule cong :premises (@p2139) :args (@t4076)) % 1.61/1.81 (step @p2141 :rule quant-merge-prenex :args ((= (forall @t1141 @t4078) @t4076))) % 1.61/1.81 (step @p2142 :rule alpha_equiv :args (@t4079 (@list @t2179) @t4080)) % 1.61/1.81 (step @p2143 :rule refl :args (@t2184)) % 1.61/1.81 (step @p2144 :rule nary_cong :premises (@p2143 @p2142) :args (@t4081)) % 1.61/1.81 (step @p2145 :rule quant-miniscope-or :args ((= @t4078 @t4081))) % 1.61/1.81 (step @p2146 :rule trans :premises (@p2145 @p2144)) % 1.61/1.81 (step @p2147 :rule symm :premises (@p2146)) % 1.61/1.81 (step @p2148 :rule cong :premises (@p2147) :args ((forall @t1141 (or @t2184 @t4087)))) % 1.61/1.81 (step @p2149 :rule trans :premises (@p2148 @p2141)) % 1.61/1.81 (step @p2150 :rule trans :premises (@p2149 @p2140)) % 1.61/1.81 (step @p2151 :rule refl :args (@t4087)) % 1.61/1.81 (step @p2152 :rule refl :args ((tptp.in @t695 @t33))) % 1.61/1.81 (step @p2153 :rule refl :args (@t2181)) % 1.61/1.81 (step @p2154 :rule refl :args (@t695)) % 1.61/1.81 (step @p2155 :rule cong :premises (@p2154 @p2153) :args (@t2183)) % 1.61/1.81 (step @p2156 :rule trans :premises (@p2155 @p2152)) % 1.61/1.81 (step @p2157 :rule refl :args (@t697)) % 1.61/1.81 (step @p2158 :rule ho_cong :premises (@p2157 @p2153)) % 1.61/1.81 (step @p2159 :rule cong :premises (@p2158 @p2156) :args ((= (_ @t697 @t2181) @t2183))) % 1.61/1.81 (step @p2160 :rule symm :premises (@p2159)) % 1.61/1.81 (step @p2161 :rule refl :args (@t1139)) % 1.61/1.81 (step @p2162 :rule eq_resolve :premises (@p2161 @p2160)) % 1.61/1.81 (step @p2163 :rule refl :args (@t33)) % 1.61/1.81 (step @p2164 :rule cong :premises (@p2163 @p2153) :args ((= @t33 @t2181))) % 1.61/1.81 (step @p2165 :rule symm :premises (@p2164)) % 1.61/1.81 (step @p2166 :rule eq_resolve :premises (@p2163 @p2165)) % 1.61/1.81 (step @p2167 :rule ho_cong :premises (@p2157 @p2166)) % 1.61/1.81 (step @p2168 :rule trans :premises (@p2167 @p2162)) % 1.61/1.81 (step @p2169 :rule cong :premises (@p2168) :args (@t4088)) % 1.61/1.81 (step @p2170 :rule nary_cong :premises (@p2169 @p2151) :args (@t4089)) % 1.61/1.81 (step @p2171 :rule cong :premises (@p2170) :args ((forall @t1141 @t4089))) % 1.61/1.81 (step @p2172 :rule trans :premises (@p2171 @p2150)) % 1.61/1.81 (step @p2173 :rule bool-impl-elim :args (@t1139 @t4087)) % 1.61/1.81 (step @p2174 :rule cong :premises (@p2173) :args ((forall @t1141 (=> @t1139 @t4087)))) % 1.61/1.81 (step @p2175 :rule trans :premises (@p2174 @p2172)) % 1.61/1.81 (step @p2176 :rule refl :args ((tptp.in @t1386 @t1421))) % 1.61/1.81 (step @p2177 :rule refl :args ((tptp.powerset @t1162))) % 1.61/1.81 (step @p2178 :rule refl :args (@t2177)) % 1.61/1.81 (step @p2179 :rule cong :premises (@p2178) :args (@t2178)) % 1.61/1.81 (step @p2180 :rule trans :premises (@p2179 @p2177)) % 1.61/1.81 (step @p2181 :rule refl :args ((tptp.setminus @t2 @t1145))) % 1.61/1.81 (step @p2182 :rule refl :args (@t4082)) % 1.61/1.81 (step @p2183 :rule cong :premises (@p1066 @p2182) :args (@t4083)) % 1.61/1.81 (step @p2184 :rule trans :premises (@p2183 @p2181)) % 1.61/1.81 (step @p2185 :rule cong :premises (@p2184 @p2180) :args (@t4084)) % 1.61/1.81 (step @p2186 :rule trans :premises (@p2185 @p2176)) % 1.61/1.81 (step @p2187 :rule ho_cong :premises (@p895 @p2184)) % 1.61/1.81 (step @p2188 :rule ho_cong :premises (@p2187 @p2180)) % 1.61/1.81 (step @p2189 :rule cong :premises (@p2188 @p2186) :args ((= (_ (_ tptp.in @t4083) @t2178) @t4084))) % 1.61/1.81 (step @p2190 :rule symm :premises (@p2189)) % 1.61/1.81 (step @p2191 :rule refl :args (@t1422)) % 1.61/1.81 (step @p2192 :rule eq_resolve :premises (@p2191 @p2190)) % 1.61/1.81 (step @p2193 :rule refl :args (tptp.powerset)) % 1.61/1.81 (step @p2194 :rule ho_cong :premises (@p2193 @p2178)) % 1.61/1.81 (step @p2195 :rule cong :premises (@p2194 @p2180) :args ((= (_ tptp.powerset @t2177) @t2178))) % 1.61/1.81 (step @p2196 :rule symm :premises (@p2195)) % 1.61/1.81 (step @p2197 :rule refl :args (@t1421)) % 1.61/1.81 (step @p2198 :rule eq_resolve :premises (@p2197 @p2196)) % 1.61/1.81 (step @p2199 :rule refl :args (@t1162)) % 1.61/1.81 (step @p2200 :rule cong :premises (@p2199 @p2178) :args ((= @t1162 @t2177))) % 1.61/1.81 (step @p2201 :rule symm :premises (@p2200)) % 1.61/1.81 (step @p2202 :rule eq_resolve :premises (@p2199 @p2201)) % 1.61/1.81 (step @p2203 :rule ho_cong :premises (@p2193 @p2202)) % 1.61/1.81 (step @p2204 :rule trans :premises (@p2203 @p2198)) % 1.61/1.81 (step @p2205 :rule refl :args (@t567)) % 1.61/1.81 (step @p2206 :rule ho_cong :premises (@p2205 @p2182)) % 1.61/1.81 (step @p2207 :rule cong :premises (@p2206 @p2184) :args ((= (_ @t567 @t4082) @t4083))) % 1.61/1.81 (step @p2208 :rule symm :premises (@p2207)) % 1.61/1.81 (step @p2209 :rule refl :args (@t1386)) % 1.61/1.81 (step @p2210 :rule eq_resolve :premises (@p2209 @p2208)) % 1.61/1.81 (step @p2211 :rule refl :args (@t1145)) % 1.61/1.81 (step @p2212 :rule cong :premises (@p2211 @p2182) :args ((= @t1145 @t4082))) % 1.61/1.81 (step @p2213 :rule symm :premises (@p2212)) % 1.61/1.81 (step @p2214 :rule eq_resolve :premises (@p2211 @p2213)) % 1.61/1.81 (step @p2215 :rule ho_cong :premises (@p2205 @p2214)) % 1.61/1.81 (step @p2216 :rule trans :premises (@p2215 @p2210)) % 1.61/1.81 (step @p2217 :rule ho_cong :premises (@p895 @p2216)) % 1.61/1.81 (step @p2218 :rule ho_cong :premises (@p2217 @p2204)) % 1.61/1.81 (step @p2219 :rule trans :premises (@p2218 @p2192)) % 1.61/1.81 (step @p2220 :rule refl :args ((tptp.in @t1131 @t33))) % 1.61/1.81 (step @p2221 :rule refl :args (@t1131)) % 1.61/1.81 (step @p2222 :rule cong :premises (@p2221 @p2153) :args (@t4085)) % 1.61/1.81 (step @p2223 :rule trans :premises (@p2222 @p2220)) % 1.61/1.81 (step @p2224 :rule refl :args (@t1135)) % 1.61/1.81 (step @p2225 :rule ho_cong :premises (@p2224 @p2153)) % 1.61/1.81 (step @p2226 :rule cong :premises (@p2225 @p2223) :args ((= (_ @t1135 @t2181) @t4085))) % 1.61/1.81 (step @p2227 :rule symm :premises (@p2226)) % 1.61/1.81 (step @p2228 :rule refl :args (@t1136)) % 1.61/1.81 (step @p2229 :rule eq_resolve :premises (@p2228 @p2227)) % 1.61/1.81 (step @p2230 :rule ho_cong :premises (@p2224 @p2166)) % 1.61/1.81 (step @p2231 :rule trans :premises (@p2230 @p2229)) % 1.61/1.81 (step @p2232 :rule cong :premises (@p2231) :args (@t4090)) % 1.61/1.81 (step @p2233 :rule nary_cong :premises (@p2232 @p2219) :args (@t4091)) % 1.61/1.81 (step @p2234 :rule cong :premises (@p2233) :args ((forall @t1137 @t4091))) % 1.61/1.81 (step @p2235 :rule bool-impl-elim :args (@t1136 @t1422)) % 1.61/1.81 (step @p2236 :rule cong :premises (@p2235) :args (@t1423)) % 1.61/1.81 (step @p2237 :rule trans :premises (@p2236 @p2234)) % 1.61/1.81 (step @p2238 :rule refl :args (@t1139)) % 1.61/1.81 (step @p2239 :rule cong :premises (@p2238 @p2237) :args (@t1424)) % 1.61/1.81 (step @p2240 :rule cong :premises (@p2239) :args (@t1425)) % 1.61/1.81 (step @p2241 :rule trans :premises (@p2240 @p2175)) % 1.61/1.81 (step @p2242 :rule cong :premises (@p2241 @p2138) :args ((= @t1425 tptp.woz1_5))) % 1.61/1.81 (step @p2243 :rule trans :premises (@p2242 @p2137)) % 1.61/1.81 (step @p2244 :rule eq-symm :args (tptp.woz1_5 @t1425)) % 1.61/1.81 (step @p2245 :rule trans :premises (@p2244 @p2243)) % 1.61/1.81 (step @p2246 :rule eq_resolve :premises (@p284 @p2245)) % 1.61/1.81 (step @p2247 :rule cong :premises (@p2246 @p2136) :args (@t4092)) % 1.61/1.81 (step @p2248 :rule eq-symm :args (@t2194 tptp.woz1_4)) % 1.61/1.81 (step @p2249 :rule refl :args (tptp.woz1_4)) % 1.61/1.81 (step @p2250 :rule aci_norm :args ((= @t4094 @t2192))) % 1.61/1.81 (step @p2251 :rule cong :premises (@p2250) :args (@t4095)) % 1.61/1.81 (step @p2252 :rule quant-merge-prenex :args ((= (forall @t1141 @t4097) @t4095))) % 1.61/1.81 (step @p2253 :rule alpha_equiv :args (@t4098 (@list @t2188) @t4080)) % 1.61/1.81 (step @p2254 :rule nary_cong :premises (@p2143 @p2253) :args (@t4099)) % 1.61/1.81 (step @p2255 :rule quant-miniscope-or :args ((= @t4097 @t4099))) % 1.61/1.81 (step @p2256 :rule trans :premises (@p2255 @p2254)) % 1.61/1.81 (step @p2257 :rule symm :premises (@p2256)) % 1.61/1.81 (step @p2258 :rule cong :premises (@p2257) :args ((forall @t1141 (or @t2184 @t4104)))) % 1.61/1.81 (step @p2259 :rule trans :premises (@p2258 @p2252)) % 1.61/1.81 (step @p2260 :rule trans :premises (@p2259 @p2251)) % 1.61/1.81 (step @p2261 :rule refl :args (@t4104)) % 1.61/1.81 (step @p2262 :rule nary_cong :premises (@p2169 @p2261) :args (@t4105)) % 1.61/1.81 (step @p2263 :rule cong :premises (@p2262) :args ((forall @t1141 @t4105))) % 1.61/1.81 (step @p2264 :rule trans :premises (@p2263 @p2260)) % 1.61/1.81 (step @p2265 :rule bool-impl-elim :args (@t1139 @t4104)) % 1.61/1.81 (step @p2266 :rule cong :premises (@p2265) :args ((forall @t1141 (=> @t1139 @t4104)))) % 1.61/1.81 (step @p2267 :rule trans :premises (@p2266 @p2264)) % 1.61/1.81 (step @p2268 :rule refl :args ((tptp.subset @t1131 @t1162))) % 1.61/1.81 (step @p2269 :rule cong :premises (@p2221 @p2178) :args (@t4100)) % 1.61/1.81 (step @p2270 :rule trans :premises (@p2269 @p2268)) % 1.61/1.81 (step @p2271 :rule refl :args (@t1318)) % 1.61/1.81 (step @p2272 :rule ho_cong :premises (@p2271 @p2178)) % 1.61/1.81 (step @p2273 :rule cong :premises (@p2272 @p2270) :args ((= (_ @t1318 @t2177) @t4100))) % 1.61/1.81 (step @p2274 :rule symm :premises (@p2273)) % 1.61/1.81 (step @p2275 :rule refl :args (@t1319)) % 1.61/1.81 (step @p2276 :rule eq_resolve :premises (@p2275 @p2274)) % 1.61/1.81 (step @p2277 :rule ho_cong :premises (@p2271 @p2202)) % 1.61/1.81 (step @p2278 :rule trans :premises (@p2277 @p2276)) % 1.61/1.81 (step @p2279 :rule refl :args ((tptp.subset @t695 @t1234))) % 1.61/1.81 (step @p2280 :rule refl :args (@t4101)) % 1.61/1.81 (step @p2281 :rule cong :premises (@p2154 @p2280) :args (@t4102)) % 1.61/1.81 (step @p2282 :rule trans :premises (@p2281 @p2279)) % 1.61/1.81 (step @p2283 :rule refl :args (@t1180)) % 1.61/1.81 (step @p2284 :rule ho_cong :premises (@p2283 @p2280)) % 1.61/1.81 (step @p2285 :rule cong :premises (@p2284 @p2282) :args ((= (_ @t1180 @t4101) @t4102))) % 1.61/1.81 (step @p2286 :rule symm :premises (@p2285)) % 1.61/1.81 (step @p2287 :rule refl :args (@t1235)) % 1.61/1.81 (step @p2288 :rule eq_resolve :premises (@p2287 @p2286)) % 1.61/1.81 (step @p2289 :rule refl :args (@t1234)) % 1.61/1.81 (step @p2290 :rule cong :premises (@p2289 @p2280) :args ((= @t1234 @t4101))) % 1.61/1.81 (step @p2291 :rule symm :premises (@p2290)) % 1.61/1.81 (step @p2292 :rule eq_resolve :premises (@p2289 @p2291)) % 1.61/1.81 (step @p2293 :rule ho_cong :premises (@p2283 @p2292)) % 1.61/1.81 (step @p2294 :rule trans :premises (@p2293 @p2288)) % 1.61/1.81 (step @p2295 :rule cong :premises (@p2294) :args (@t4106)) % 1.61/1.81 (step @p2296 :rule nary_cong :premises (@p2232 @p2295 @p2278) :args (@t4107)) % 1.61/1.81 (step @p2297 :rule cong :premises (@p2296) :args ((forall @t1137 @t4107))) % 1.61/1.81 (step @p2298 :rule aci_norm :args ((= (or @t4090 (or @t4106 @t1319)) @t4107))) % 1.61/1.81 (step @p2299 :rule bool-impl-elim :args (@t1235 @t1319)) % 1.61/1.81 (step @p2300 :rule refl :args (@t4090)) % 1.61/1.81 (step @p2301 :rule nary_cong :premises (@p2300 @p2299) :args ((or @t4090 @t1320))) % 1.61/1.81 (step @p2302 :rule trans :premises (@p2301 @p2298)) % 1.61/1.81 (step @p2303 :rule bool-impl-elim :args (@t1136 @t1320)) % 1.61/1.81 (step @p2304 :rule trans :premises (@p2303 @p2302)) % 1.61/1.81 (step @p2305 :rule cong :premises (@p2304) :args (@t1321)) % 1.61/1.81 (step @p2306 :rule trans :premises (@p2305 @p2297)) % 1.61/1.81 (step @p2307 :rule cong :premises (@p2238 @p2306) :args (@t1322)) % 1.61/1.81 (step @p2308 :rule cong :premises (@p2307) :args (@t1323)) % 1.61/1.81 (step @p2309 :rule trans :premises (@p2308 @p2267)) % 1.61/1.81 (step @p2310 :rule cong :premises (@p2309 @p2249) :args ((= @t1323 tptp.woz1_4))) % 1.61/1.81 (step @p2311 :rule trans :premises (@p2310 @p2248)) % 1.61/1.81 (step @p2312 :rule eq-symm :args (tptp.woz1_4 @t1323)) % 1.61/1.81 (step @p2313 :rule trans :premises (@p2312 @p2311)) % 1.61/1.81 (step @p2314 :rule eq_resolve :premises (@p283 @p2313)) % 1.61/1.81 (step @p2315 :rule cong :premises (@p2314 @p2247) :args (@t4108)) % 1.61/1.81 (step @p2316 :rule eq-symm :args (@t2202 tptp.woz1_3)) % 1.61/1.81 (step @p2317 :rule refl :args (tptp.woz1_3)) % 1.61/1.81 (step @p2318 :rule aci_norm :args ((= @t4110 @t2200))) % 1.61/1.81 (step @p2319 :rule cong :premises (@p2318) :args (@t4111)) % 1.61/1.81 (step @p2320 :rule quant-merge-prenex :args ((= (forall @t1141 @t4113) @t4111))) % 1.61/1.81 (step @p2321 :rule alpha_equiv :args (@t4114 (@list @t2196 @t2195) (@list @t1131 @t4115))) % 1.61/1.81 (step @p2322 :rule nary_cong :premises (@p2143 @p2321) :args (@t4116)) % 1.61/1.81 (step @p2323 :rule quant-miniscope-or :args ((= @t4113 @t4116))) % 1.61/1.81 (step @p2324 :rule trans :premises (@p2323 @p2322)) % 1.61/1.81 (step @p2325 :rule symm :premises (@p2324)) % 1.61/1.81 (step @p2326 :rule cong :premises (@p2325) :args ((forall @t1141 (or @t2184 @t4122)))) % 1.61/1.81 (step @p2327 :rule trans :premises (@p2326 @p2320)) % 1.61/1.81 (step @p2328 :rule trans :premises (@p2327 @p2319)) % 1.61/1.81 (step @p2329 :rule refl :args (@t4122)) % 1.61/1.81 (step @p2330 :rule nary_cong :premises (@p2169 @p2329) :args (@t4123)) % 1.61/1.81 (step @p2331 :rule cong :premises (@p2330) :args ((forall @t1141 @t4123))) % 1.61/1.81 (step @p2332 :rule trans :premises (@p2331 @p2328)) % 1.61/1.81 (step @p2333 :rule bool-impl-elim :args (@t1139 @t4122)) % 1.61/1.81 (step @p2334 :rule cong :premises (@p2333) :args ((forall @t1141 (=> @t1139 @t4122)))) % 1.61/1.81 (step @p2335 :rule trans :premises (@p2334 @p2332)) % 1.61/1.81 (step @p2336 :rule aci_norm :args ((= @t4125 @t4120))) % 1.61/1.81 (step @p2337 :rule cong :premises (@p2336) :args (@t4126)) % 1.61/1.81 (step @p2338 :rule quant-merge-prenex :args ((= (forall @t1137 @t4128) @t4126))) % 1.61/1.81 (step @p2339 :rule alpha_equiv :args (@t4129 (@list @t4115) @t4130)) % 1.61/1.81 (step @p2340 :rule refl :args (@t4086)) % 1.61/1.81 (step @p2341 :rule nary_cong :premises (@p2340 @p2339) :args (@t4131)) % 1.61/1.81 (step @p2342 :rule quant-miniscope-or :args ((= @t4128 @t4131))) % 1.61/1.81 (step @p2343 :rule trans :premises (@p2342 @p2341)) % 1.61/1.81 (step @p2344 :rule symm :premises (@p2343)) % 1.61/1.81 (step @p2345 :rule cong :premises (@p2344) :args ((forall @t1137 (or @t4086 @t4139)))) % 1.61/1.81 (step @p2346 :rule trans :premises (@p2345 @p2338)) % 1.61/1.81 (step @p2347 :rule trans :premises (@p2346 @p2337)) % 1.61/1.81 (step @p2348 :rule refl :args (@t4139)) % 1.61/1.81 (step @p2349 :rule nary_cong :premises (@p2232 @p2348) :args (@t4140)) % 1.61/1.81 (step @p2350 :rule cong :premises (@p2349) :args ((forall @t1137 @t4140))) % 1.61/1.81 (step @p2351 :rule trans :premises (@p2350 @p2347)) % 1.61/1.81 (step @p2352 :rule bool-impl-elim :args (@t1136 @t4139)) % 1.61/1.81 (step @p2353 :rule cong :premises (@p2352) :args ((forall @t1137 (=> @t1136 @t4139)))) % 1.61/1.81 (step @p2354 :rule trans :premises (@p2353 @p2351)) % 1.61/1.81 (step @p2355 :rule refl :args ((tptp.in @t1132 @t1378))) % 1.61/1.81 (step @p2356 :rule refl :args ((tptp.powerset @t1367))) % 1.61/1.81 (step @p2357 :rule refl :args ((tptp.binintersect @t1342 @t1356))) % 1.61/1.81 (step @p2358 :rule refl :args (@t4132)) % 1.61/1.81 (step @p2359 :rule refl :args (@t4133)) % 1.61/1.81 (step @p2360 :rule cong :premises (@p2359 @p2358) :args (@t4134)) % 1.61/1.81 (step @p2361 :rule trans :premises (@p2360 @p2357)) % 1.61/1.81 (step @p2362 :rule cong :premises (@p2361) :args (@t4135)) % 1.61/1.81 (step @p2363 :rule trans :premises (@p2362 @p2356)) % 1.61/1.81 (step @p2364 :rule refl :args (@t4117)) % 1.61/1.81 (step @p2365 :rule cong :premises (@p2364 @p2363) :args (@t4136)) % 1.61/1.81 (step @p2366 :rule trans :premises (@p2365 @p2355)) % 1.61/1.81 (step @p2367 :rule ho_cong :premises (@p895 @p2364)) % 1.61/1.81 (step @p2368 :rule ho_cong :premises (@p2367 @p2363)) % 1.61/1.81 (step @p2369 :rule cong :premises (@p2368 @p2366) :args ((= (_ @t4141 @t4135) @t4136))) % 1.61/1.81 (step @p2370 :rule symm :premises (@p2369)) % 1.61/1.81 (step @p2371 :rule refl :args (@t1379)) % 1.61/1.81 (step @p2372 :rule eq_resolve :premises (@p2371 @p2370)) % 1.61/1.81 (step @p2373 :rule ho_cong :premises (@p2193 @p2361)) % 1.61/1.81 (step @p2374 :rule cong :premises (@p2373 @p2363) :args ((= (_ tptp.powerset @t4134) @t4135))) % 1.61/1.81 (step @p2375 :rule symm :premises (@p2374)) % 1.61/1.81 (step @p2376 :rule refl :args (@t1378)) % 1.61/1.81 (step @p2377 :rule eq_resolve :premises (@p2376 @p2375)) % 1.61/1.81 (step @p2378 :rule refl :args (tptp.binintersect)) % 1.61/1.81 (step @p2379 :rule ho_cong :premises (@p2378 @p2359)) % 1.61/1.81 (step @p2380 :rule ho_cong :premises (@p2379 @p2358)) % 1.61/1.81 (step @p2381 :rule cong :premises (@p2380 @p2361) :args ((= (_ (_ tptp.binintersect @t4133) @t4132) @t4134))) % 1.61/1.81 (step @p2382 :rule symm :premises (@p2381)) % 1.61/1.81 (step @p2383 :rule refl :args (@t1367)) % 1.61/1.81 (step @p2384 :rule eq_resolve :premises (@p2383 @p2382)) % 1.61/1.81 (step @p2385 :rule refl :args (@t1356)) % 1.61/1.81 (step @p2386 :rule cong :premises (@p2385 @p2358) :args ((= @t1356 @t4132))) % 1.61/1.81 (step @p2387 :rule symm :premises (@p2386)) % 1.61/1.81 (step @p2388 :rule eq_resolve :premises (@p2385 @p2387)) % 1.61/1.81 (step @p2389 :rule refl :args (@t1342)) % 1.61/1.81 (step @p2390 :rule cong :premises (@p2389 @p2359) :args ((= @t1342 @t4133))) % 1.61/1.81 (step @p2391 :rule symm :premises (@p2390)) % 1.61/1.81 (step @p2392 :rule eq_resolve :premises (@p2389 @p2391)) % 1.61/1.81 (step @p2393 :rule ho_cong :premises (@p2378 @p2392)) % 1.61/1.81 (step @p2394 :rule ho_cong :premises (@p2393 @p2388)) % 1.61/1.81 (step @p2395 :rule trans :premises (@p2394 @p2384)) % 1.61/1.81 (step @p2396 :rule ho_cong :premises (@p2193 @p2395)) % 1.61/1.81 (step @p2397 :rule trans :premises (@p2396 @p2377)) % 1.61/1.81 (step @p2398 :rule refl :args (@t1132)) % 1.61/1.81 (step @p2399 :rule cong :premises (@p2398 @p2364) :args ((= @t1132 @t4117))) % 1.61/1.81 (step @p2400 :rule symm :premises (@p2399)) % 1.61/1.81 (step @p2401 :rule eq_resolve :premises (@p2398 @p2400)) % 1.61/1.81 (step @p2402 :rule ho_cong :premises (@p895 @p2401)) % 1.61/1.81 (step @p2403 :rule ho_cong :premises (@p2402 @p2397)) % 1.61/1.81 (step @p2404 :rule trans :premises (@p2403 @p2372)) % 1.61/1.81 (step @p2405 :rule refl :args ((tptp.in @t1341 @t33))) % 1.61/1.81 (step @p2406 :rule refl :args (@t1341)) % 1.61/1.81 (step @p2407 :rule cong :premises (@p2406 @p2153) :args (@t4137)) % 1.61/1.81 (step @p2408 :rule trans :premises (@p2407 @p2405)) % 1.61/1.81 (step @p2409 :rule refl :args (@t1346)) % 1.61/1.81 (step @p2410 :rule ho_cong :premises (@p2409 @p2153)) % 1.61/1.81 (step @p2411 :rule cong :premises (@p2410 @p2408) :args ((= (_ @t1346 @t2181) @t4137))) % 1.61/1.81 (step @p2412 :rule symm :premises (@p2411)) % 1.61/1.81 (step @p2413 :rule refl :args (@t1347)) % 1.61/1.81 (step @p2414 :rule eq_resolve :premises (@p2413 @p2412)) % 1.61/1.81 (step @p2415 :rule ho_cong :premises (@p2409 @p2166)) % 1.61/1.81 (step @p2416 :rule trans :premises (@p2415 @p2414)) % 1.61/1.81 (step @p2417 :rule cong :premises (@p2416) :args (@t4142)) % 1.61/1.81 (step @p2418 :rule nary_cong :premises (@p2417 @p2404) :args (@t4143)) % 1.61/1.81 (step @p2419 :rule cong :premises (@p2418) :args ((forall @t1349 @t4143))) % 1.61/1.81 (step @p2420 :rule bool-impl-elim :args (@t1347 @t1379)) % 1.61/1.81 (step @p2421 :rule cong :premises (@p2420) :args (@t1380)) % 1.61/1.81 (step @p2422 :rule trans :premises (@p2421 @p2419)) % 1.61/1.81 (step @p2423 :rule refl :args (@t1136)) % 1.61/1.81 (step @p2424 :rule cong :premises (@p2423 @p2422) :args (@t1381)) % 1.61/1.81 (step @p2425 :rule cong :premises (@p2424) :args (@t1382)) % 1.61/1.81 (step @p2426 :rule trans :premises (@p2425 @p2354)) % 1.61/1.81 (step @p2427 :rule cong :premises (@p2238 @p2426) :args (@t1383)) % 1.61/1.81 (step @p2428 :rule cong :premises (@p2427) :args (@t1384)) % 1.61/1.81 (step @p2429 :rule trans :premises (@p2428 @p2335)) % 1.61/1.81 (step @p2430 :rule cong :premises (@p2429 @p2317) :args ((= @t1384 tptp.woz1_3))) % 1.61/1.81 (step @p2431 :rule trans :premises (@p2430 @p2316)) % 1.61/1.81 (step @p2432 :rule eq-symm :args (tptp.woz1_3 @t1384)) % 1.61/1.81 (step @p2433 :rule trans :premises (@p2432 @p2431)) % 1.61/1.81 (step @p2434 :rule eq_resolve :premises (@p282 @p2433)) % 1.61/1.81 (step @p2435 :rule cong :premises (@p2434 @p2315) :args (@t4144)) % 1.61/1.81 (step @p2436 :rule aci_norm :args ((= @t4146 @t2210))) % 1.61/1.81 (step @p2437 :rule cong :premises (@p2436) :args (@t4147)) % 1.61/1.81 (step @p2438 :rule quant-merge-prenex :args ((= (forall @t1141 @t4149) @t4147))) % 1.61/1.81 (step @p2439 :rule alpha_equiv :args (@t4150 (@list @t2205 @t2204 @t2203) (@list @t1131 @t4152 @t4151))) % 1.61/1.81 (step @p2440 :rule nary_cong :premises (@p2143 @p2439) :args (@t4153)) % 1.61/1.81 (step @p2441 :rule quant-miniscope-or :args ((= @t4149 @t4153))) % 1.61/1.81 (step @p2442 :rule trans :premises (@p2441 @p2440)) % 1.61/1.81 (step @p2443 :rule symm :premises (@p2442)) % 1.61/1.81 (step @p2444 :rule cong :premises (@p2443) :args ((forall @t1141 (or @t2184 @t4160)))) % 1.61/1.81 (step @p2445 :rule trans :premises (@p2444 @p2438)) % 1.61/1.81 (step @p2446 :rule trans :premises (@p2445 @p2437)) % 1.61/1.81 (step @p2447 :rule refl :args (@t4160)) % 1.61/1.81 (step @p2448 :rule nary_cong :premises (@p2169 @p2447) :args (@t4161)) % 1.61/1.81 (step @p2449 :rule cong :premises (@p2448) :args ((forall @t1141 @t4161))) % 1.61/1.81 (step @p2450 :rule trans :premises (@p2449 @p2446)) % 1.61/1.81 (step @p2451 :rule bool-impl-elim :args (@t1139 @t4160)) % 1.61/1.81 (step @p2452 :rule cong :premises (@p2451) :args ((forall @t1141 (=> @t1139 @t4160)))) % 1.61/1.81 (step @p2453 :rule trans :premises (@p2452 @p2450)) % 1.61/1.81 (step @p2454 :rule aci_norm :args ((= @t4163 @t4158))) % 1.61/1.81 (step @p2455 :rule cong :premises (@p2454) :args (@t4164)) % 1.61/1.81 (step @p2456 :rule quant-merge-prenex :args ((= (forall @t1137 @t4166) @t4164))) % 1.61/1.81 (step @p2457 :rule alpha_equiv :args (@t4167 (@list @t4152 @t4151) (@list @t1341 @t4168))) % 1.61/1.81 (step @p2458 :rule nary_cong :premises (@p2340 @p2457) :args (@t4169)) % 1.61/1.81 (step @p2459 :rule quant-miniscope-or :args ((= @t4166 @t4169))) % 1.61/1.81 (step @p2460 :rule trans :premises (@p2459 @p2458)) % 1.61/1.81 (step @p2461 :rule symm :premises (@p2460)) % 1.61/1.81 (step @p2462 :rule cong :premises (@p2461) :args ((forall @t1137 (or @t4086 @t4175)))) % 1.61/1.81 (step @p2463 :rule trans :premises (@p2462 @p2456)) % 1.61/1.81 (step @p2464 :rule trans :premises (@p2463 @p2455)) % 1.61/1.81 (step @p2465 :rule refl :args (@t4175)) % 1.61/1.81 (step @p2466 :rule nary_cong :premises (@p2232 @p2465) :args (@t4176)) % 1.61/1.81 (step @p2467 :rule cong :premises (@p2466) :args ((forall @t1137 @t4176))) % 1.61/1.81 (step @p2468 :rule trans :premises (@p2467 @p2464)) % 1.61/1.81 (step @p2469 :rule bool-impl-elim :args (@t1136 @t4175)) % 1.61/1.81 (step @p2470 :rule cong :premises (@p2469) :args ((forall @t1137 (=> @t1136 @t4175)))) % 1.61/1.81 (step @p2471 :rule trans :premises (@p2470 @p2468)) % 1.61/1.81 (step @p2472 :rule aci_norm :args ((= @t4178 @t4173))) % 1.61/1.81 (step @p2473 :rule cong :premises (@p2472) :args (@t4179)) % 1.61/1.81 (step @p2474 :rule quant-merge-prenex :args ((= (forall @t1349 @t4181) @t4179))) % 1.61/1.81 (step @p2475 :rule alpha_equiv :args (@t4182 (@list @t4168) @t4183)) % 1.61/1.81 (step @p2476 :rule refl :args (@t4138)) % 1.61/1.81 (step @p2477 :rule nary_cong :premises (@p2476 @p2475) :args (@t4184)) % 1.61/1.81 (step @p2478 :rule quant-miniscope-or :args ((= @t4181 @t4184))) % 1.61/1.81 (step @p2479 :rule trans :premises (@p2478 @p2477)) % 1.61/1.81 (step @p2480 :rule symm :premises (@p2479)) % 1.61/1.81 (step @p2481 :rule cong :premises (@p2480) :args ((forall @t1349 (or @t4138 @t4193)))) % 1.61/1.81 (step @p2482 :rule trans :premises (@p2481 @p2474)) % 1.61/1.81 (step @p2483 :rule trans :premises (@p2482 @p2473)) % 1.61/1.81 (step @p2484 :rule refl :args (@t4193)) % 1.61/1.81 (step @p2485 :rule nary_cong :premises (@p2417 @p2484) :args (@t4194)) % 1.61/1.81 (step @p2486 :rule cong :premises (@p2485) :args ((forall @t1349 @t4194))) % 1.61/1.81 (step @p2487 :rule trans :premises (@p2486 @p2483)) % 1.61/1.81 (step @p2488 :rule bool-impl-elim :args (@t1347 @t4193)) % 1.61/1.81 (step @p2489 :rule cong :premises (@p2488) :args ((forall @t1349 (=> @t1347 @t4193)))) % 1.61/1.81 (step @p2490 :rule trans :premises (@p2489 @p2487)) % 1.61/1.81 (step @p2491 :rule refl :args ((tptp.binunion @t1456 @t1538))) % 1.61/1.81 (step @p2492 :rule refl :args ((tptp.binintersect @t1537 @t1536))) % 1.61/1.81 (step @p2493 :rule refl :args (@t4185)) % 1.61/1.81 (step @p2494 :rule refl :args (@t4170)) % 1.61/1.81 (step @p2495 :rule cong :premises (@p2494 @p2493) :args (@t4186)) % 1.61/1.81 (step @p2496 :rule trans :premises (@p2495 @p2492)) % 1.61/1.81 (step @p2497 :rule refl :args ((tptp.binintersect @t1162 @t1234))) % 1.61/1.81 (step @p2498 :rule cong :premises (@p2178 @p2280) :args (@t4154)) % 1.61/1.81 (step @p2499 :rule trans :premises (@p2498 @p2497)) % 1.61/1.81 (step @p2500 :rule cong :premises (@p2499 @p2496) :args (@t4187)) % 1.61/1.81 (step @p2501 :rule trans :premises (@p2500 @p2491)) % 1.61/1.81 (step @p2502 :rule refl :args (tptp.binunion)) % 1.61/1.81 (step @p2503 :rule ho_cong :premises (@p2502 @p2499)) % 1.61/1.81 (step @p2504 :rule ho_cong :premises (@p2503 @p2496)) % 1.61/1.81 (step @p2505 :rule cong :premises (@p2504 @p2501) :args ((= (_ (_ tptp.binunion @t4154) @t4186) @t4187))) % 1.61/1.81 (step @p2506 :rule symm :premises (@p2505)) % 1.61/1.81 (step @p2507 :rule refl :args (@t1539)) % 1.61/1.81 (step @p2508 :rule eq_resolve :premises (@p2507 @p2506)) % 1.61/1.81 (step @p2509 :rule ho_cong :premises (@p2378 @p2494)) % 1.61/1.81 (step @p2510 :rule ho_cong :premises (@p2509 @p2493)) % 1.61/1.81 (step @p2511 :rule cong :premises (@p2510 @p2496) :args ((= (_ (_ tptp.binintersect @t4170) @t4185) @t4186))) % 1.61/1.81 (step @p2512 :rule symm :premises (@p2511)) % 1.61/1.81 (step @p2513 :rule refl :args (@t1538)) % 1.61/1.81 (step @p2514 :rule eq_resolve :premises (@p2513 @p2512)) % 1.61/1.81 (step @p2515 :rule refl :args (@t1536)) % 1.61/1.81 (step @p2516 :rule cong :premises (@p2515 @p2493) :args ((= @t1536 @t4185))) % 1.61/1.81 (step @p2517 :rule symm :premises (@p2516)) % 1.61/1.81 (step @p2518 :rule eq_resolve :premises (@p2515 @p2517)) % 1.61/1.81 (step @p2519 :rule refl :args (@t1537)) % 1.61/1.81 (step @p2520 :rule cong :premises (@p2519 @p2494) :args ((= @t1537 @t4170))) % 1.61/1.81 (step @p2521 :rule symm :premises (@p2520)) % 1.61/1.81 (step @p2522 :rule eq_resolve :premises (@p2519 @p2521)) % 1.61/1.81 (step @p2523 :rule ho_cong :premises (@p2378 @p2522)) % 1.61/1.81 (step @p2524 :rule ho_cong :premises (@p2523 @p2518)) % 1.61/1.81 (step @p2525 :rule trans :premises (@p2524 @p2514)) % 1.61/1.81 (step @p2526 :rule ho_cong :premises (@p2378 @p2178)) % 1.61/1.81 (step @p2527 :rule ho_cong :premises (@p2526 @p2280)) % 1.61/1.81 (step @p2528 :rule cong :premises (@p2527 @p2499) :args ((= (_ (_ tptp.binintersect @t2177) @t4101) @t4154))) % 1.61/1.81 (step @p2529 :rule symm :premises (@p2528)) % 1.61/1.81 (step @p2530 :rule refl :args (@t1456)) % 1.61/1.81 (step @p2531 :rule eq_resolve :premises (@p2530 @p2529)) % 1.61/1.81 (step @p2532 :rule ho_cong :premises (@p2378 @p2202)) % 1.61/1.81 (step @p2533 :rule ho_cong :premises (@p2532 @p2292)) % 1.61/1.81 (step @p2534 :rule trans :premises (@p2533 @p2531)) % 1.61/1.81 (step @p2535 :rule ho_cong :premises (@p2502 @p2534)) % 1.61/1.81 (step @p2536 :rule ho_cong :premises (@p2535 @p2525)) % 1.61/1.81 (step @p2537 :rule trans :premises (@p2536 @p2508)) % 1.61/1.81 (step @p2538 :rule refl :args ((tptp.setminus @t2 @t1541))) % 1.61/1.81 (step @p2539 :rule refl :args ((tptp.binintersect @t1145 @t1540))) % 1.61/1.81 (step @p2540 :rule refl :args (@t4188)) % 1.61/1.81 (step @p2541 :rule cong :premises (@p2182 @p2540) :args (@t4189)) % 1.61/1.81 (step @p2542 :rule trans :premises (@p2541 @p2539)) % 1.61/1.81 (step @p2543 :rule cong :premises (@p1066 @p2542) :args (@t4190)) % 1.61/1.81 (step @p2544 :rule trans :premises (@p2543 @p2538)) % 1.61/1.81 (step @p2545 :rule ho_cong :premises (@p2205 @p2542)) % 1.61/1.81 (step @p2546 :rule cong :premises (@p2545 @p2544) :args ((= (_ @t567 @t4189) @t4190))) % 1.61/1.81 (step @p2547 :rule symm :premises (@p2546)) % 1.61/1.81 (step @p2548 :rule refl :args (@t1542)) % 1.61/1.81 (step @p2549 :rule eq_resolve :premises (@p2548 @p2547)) % 1.61/1.81 (step @p2550 :rule ho_cong :premises (@p2378 @p2182)) % 1.61/1.81 (step @p2551 :rule ho_cong :premises (@p2550 @p2540)) % 1.61/1.81 (step @p2552 :rule cong :premises (@p2551 @p2542) :args ((= (_ (_ tptp.binintersect @t4082) @t4188) @t4189))) % 1.61/1.81 (step @p2553 :rule symm :premises (@p2552)) % 1.61/1.81 (step @p2554 :rule refl :args (@t1541)) % 1.61/1.81 (step @p2555 :rule eq_resolve :premises (@p2554 @p2553)) % 1.61/1.81 (step @p2556 :rule refl :args (@t1540)) % 1.61/1.81 (step @p2557 :rule cong :premises (@p2556 @p2540) :args ((= @t1540 @t4188))) % 1.61/1.81 (step @p2558 :rule symm :premises (@p2557)) % 1.61/1.81 (step @p2559 :rule eq_resolve :premises (@p2556 @p2558)) % 1.61/1.81 (step @p2560 :rule ho_cong :premises (@p2378 @p2214)) % 1.61/1.81 (step @p2561 :rule ho_cong :premises (@p2560 @p2559)) % 1.61/1.81 (step @p2562 :rule trans :premises (@p2561 @p2555)) % 1.61/1.81 (step @p2563 :rule ho_cong :premises (@p2205 @p2562)) % 1.61/1.81 (step @p2564 :rule trans :premises (@p2563 @p2549)) % 1.61/1.81 (step @p2565 :rule cong :premises (@p2564 @p2537) :args (@t1543)) % 1.61/1.81 (step @p2566 :rule refl :args ((tptp.in @t1519 @t33))) % 1.61/1.81 (step @p2567 :rule refl :args (@t1519)) % 1.61/1.81 (step @p2568 :rule cong :premises (@p2567 @p2153) :args (@t4191)) % 1.61/1.81 (step @p2569 :rule trans :premises (@p2568 @p2566)) % 1.61/1.81 (step @p2570 :rule refl :args (@t1525)) % 1.61/1.81 (step @p2571 :rule ho_cong :premises (@p2570 @p2153)) % 1.61/1.81 (step @p2572 :rule cong :premises (@p2571 @p2569) :args ((= (_ @t1525 @t2181) @t4191))) % 1.61/1.81 (step @p2573 :rule symm :premises (@p2572)) % 1.61/1.81 (step @p2574 :rule refl :args (@t1526)) % 1.61/1.81 (step @p2575 :rule eq_resolve :premises (@p2574 @p2573)) % 1.61/1.81 (step @p2576 :rule ho_cong :premises (@p2570 @p2166)) % 1.61/1.81 (step @p2577 :rule trans :premises (@p2576 @p2575)) % 1.61/1.81 (step @p2578 :rule cong :premises (@p2577) :args (@t4195)) % 1.61/1.81 (step @p2579 :rule nary_cong :premises (@p2578 @p2565) :args (@t4196)) % 1.61/1.81 (step @p2580 :rule cong :premises (@p2579) :args ((forall @t1527 @t4196))) % 1.61/1.81 (step @p2581 :rule bool-impl-elim :args (@t1526 @t1543)) % 1.61/1.81 (step @p2582 :rule cong :premises (@p2581) :args (@t1544)) % 1.61/1.81 (step @p2583 :rule trans :premises (@p2582 @p2580)) % 1.61/1.81 (step @p2584 :rule refl :args (@t1347)) % 1.61/1.81 (step @p2585 :rule cong :premises (@p2584 @p2583) :args (@t1545)) % 1.61/1.81 (step @p2586 :rule cong :premises (@p2585) :args (@t1546)) % 1.61/1.81 (step @p2587 :rule trans :premises (@p2586 @p2490)) % 1.61/1.81 (step @p2588 :rule cong :premises (@p2423 @p2587) :args (@t1547)) % 1.61/1.81 (step @p2589 :rule cong :premises (@p2588) :args (@t1548)) % 1.61/1.81 (step @p2590 :rule trans :premises (@p2589 @p2471)) % 1.61/1.81 (step @p2591 :rule cong :premises (@p2238 @p2590) :args (@t1549)) % 1.61/1.81 (step @p2592 :rule cong :premises (@p2591) :args (@t1550)) % 1.61/1.81 (step @p2593 :rule trans :premises (@p2592 @p2453)) % 1.61/1.81 (step @p2594 :rule refl :args (tptp.woz1_2)) % 1.61/1.81 (step @p2595 :rule cong :premises (@p2594 @p2593) :args (@t1551)) % 1.61/1.81 (step @p2596 :rule eq_resolve :premises (@p281 @p2595)) % 1.61/1.81 (step @p2597 :rule cong :premises (@p2596 @p2435) :args (@t4197)) % 1.61/1.81 (step @p2598 :rule eq-symm :args (@t2217 tptp.woz1_1)) % 1.61/1.81 (step @p2599 :rule refl :args (tptp.woz1_1)) % 1.61/1.81 (step @p2600 :rule aci_norm :args ((= @t4199 @t2215))) % 1.61/1.81 (step @p2601 :rule cong :premises (@p2600) :args (@t4200)) % 1.61/1.81 (step @p2602 :rule quant-merge-prenex :args ((= (forall @t1141 @t4202) @t4200))) % 1.61/1.81 (step @p2603 :rule alpha_equiv :args (@t4203 (@list @t2212) @t4080)) % 1.61/1.81 (step @p2604 :rule nary_cong :premises (@p2143 @p2603) :args (@t4204)) % 1.61/1.81 (step @p2605 :rule quant-miniscope-or :args ((= @t4202 @t4204))) % 1.61/1.81 (step @p2606 :rule trans :premises (@p2605 @p2604)) % 1.61/1.81 (step @p2607 :rule symm :premises (@p2606)) % 1.61/1.81 (step @p2608 :rule cong :premises (@p2607) :args ((forall @t1141 (or @t2184 @t4208)))) % 1.61/1.81 (step @p2609 :rule trans :premises (@p2608 @p2602)) % 1.61/1.81 (step @p2610 :rule trans :premises (@p2609 @p2601)) % 1.61/1.81 (step @p2611 :rule refl :args (@t4208)) % 1.61/1.81 (step @p2612 :rule nary_cong :premises (@p2169 @p2611) :args (@t4209)) % 1.61/1.81 (step @p2613 :rule cong :premises (@p2612) :args ((forall @t1141 @t4209))) % 1.61/1.81 (step @p2614 :rule trans :premises (@p2613 @p2610)) % 1.61/1.81 (step @p2615 :rule bool-impl-elim :args (@t1139 @t4208)) % 1.61/1.81 (step @p2616 :rule cong :premises (@p2615) :args ((forall @t1141 (=> @t1139 @t4208)))) % 1.61/1.81 (step @p2617 :rule trans :premises (@p2616 @p2614)) % 1.61/1.81 (step @p2618 :rule refl :args ((tptp.in @t1162 @t1304))) % 1.61/1.81 (step @p2619 :rule refl :args ((tptp.powerset @t1290))) % 1.61/1.81 (step @p2620 :rule refl :args ((tptp.setminus @t2 @t1132))) % 1.61/1.81 (step @p2621 :rule cong :premises (@p1066 @p2364) :args (@t4205)) % 1.61/1.81 (step @p2622 :rule trans :premises (@p2621 @p2620)) % 1.61/1.81 (step @p2623 :rule cong :premises (@p2622) :args (@t4206)) % 1.61/1.81 (step @p2624 :rule trans :premises (@p2623 @p2619)) % 1.61/1.81 (step @p2625 :rule cong :premises (@p2178 @p2624) :args (@t4207)) % 1.61/1.81 (step @p2626 :rule trans :premises (@p2625 @p2618)) % 1.61/1.81 (step @p2627 :rule ho_cong :premises (@p895 @p2178)) % 1.61/1.81 (step @p2628 :rule ho_cong :premises (@p2627 @p2624)) % 1.61/1.81 (step @p2629 :rule cong :premises (@p2628 @p2626) :args ((= (_ @t4210 @t4206) @t4207))) % 1.61/1.81 (step @p2630 :rule symm :premises (@p2629)) % 1.61/1.81 (step @p2631 :rule refl :args (@t1305)) % 1.61/1.81 (step @p2632 :rule eq_resolve :premises (@p2631 @p2630)) % 1.61/1.81 (step @p2633 :rule ho_cong :premises (@p2193 @p2622)) % 1.61/1.81 (step @p2634 :rule cong :premises (@p2633 @p2624) :args ((= (_ tptp.powerset @t4205) @t4206))) % 1.61/1.81 (step @p2635 :rule symm :premises (@p2634)) % 1.61/1.81 (step @p2636 :rule refl :args (@t1304)) % 1.61/1.81 (step @p2637 :rule eq_resolve :premises (@p2636 @p2635)) % 1.61/1.81 (step @p2638 :rule ho_cong :premises (@p2205 @p2364)) % 1.61/1.81 (step @p2639 :rule cong :premises (@p2638 @p2622) :args ((= (_ @t567 @t4117) @t4205))) % 1.61/1.81 (step @p2640 :rule symm :premises (@p2639)) % 1.61/1.81 (step @p2641 :rule refl :args (@t1290)) % 1.61/1.81 (step @p2642 :rule eq_resolve :premises (@p2641 @p2640)) % 1.61/1.81 (step @p2643 :rule ho_cong :premises (@p2205 @p2401)) % 1.61/1.81 (step @p2644 :rule trans :premises (@p2643 @p2642)) % 1.61/1.81 (step @p2645 :rule ho_cong :premises (@p2193 @p2644)) % 1.61/1.81 (step @p2646 :rule trans :premises (@p2645 @p2637)) % 1.61/1.81 (step @p2647 :rule ho_cong :premises (@p895 @p2202)) % 1.61/1.81 (step @p2648 :rule ho_cong :premises (@p2647 @p2646)) % 1.61/1.81 (step @p2649 :rule trans :premises (@p2648 @p2632)) % 1.61/1.81 (step @p2650 :rule nary_cong :premises (@p2232 @p2649) :args (@t4211)) % 1.61/1.81 (step @p2651 :rule cong :premises (@p2650) :args ((forall @t1137 @t4211))) % 1.61/1.81 (step @p2652 :rule bool-impl-elim :args (@t1136 @t1305)) % 1.61/1.81 (step @p2653 :rule cong :premises (@p2652) :args (@t1306)) % 1.61/1.81 (step @p2654 :rule trans :premises (@p2653 @p2651)) % 1.61/1.81 (step @p2655 :rule cong :premises (@p2238 @p2654) :args (@t1307)) % 1.61/1.81 (step @p2656 :rule cong :premises (@p2655) :args (@t1308)) % 1.61/1.81 (step @p2657 :rule trans :premises (@p2656 @p2617)) % 1.61/1.81 (step @p2658 :rule cong :premises (@p2657 @p2599) :args ((= @t1308 tptp.woz1_1))) % 1.61/1.81 (step @p2659 :rule trans :premises (@p2658 @p2598)) % 1.61/1.81 (step @p2660 :rule eq-symm :args (tptp.woz1_1 @t1308)) % 1.61/1.81 (step @p2661 :rule trans :premises (@p2660 @p2659)) % 1.61/1.81 (step @p2662 :rule eq_resolve :premises (@p280 @p2661)) % 1.61/1.81 (step @p2663 :rule cong :premises (@p2662 @p2597) :args (@t4212)) % 1.61/1.81 (step @p2664 :rule aci_norm :args ((= @t4214 @t2227))) % 1.61/1.81 (step @p2665 :rule cong :premises (@p2664) :args (@t4215)) % 1.61/1.81 (step @p2666 :rule quant-merge-prenex :args ((= (forall @t1141 @t4217) @t4215))) % 1.61/1.81 (step @p2667 :rule alpha_equiv :args (@t4218 (@list @t2220 @t2219 @t2218) (@list @t1131 @t4220 @t4219))) % 1.61/1.81 (step @p2668 :rule nary_cong :premises (@p2143 @p2667) :args (@t4221)) % 1.61/1.81 (step @p2669 :rule quant-miniscope-or :args ((= @t4217 @t4221))) % 1.61/1.81 (step @p2670 :rule trans :premises (@p2669 @p2668)) % 1.61/1.81 (step @p2671 :rule symm :premises (@p2670)) % 1.61/1.81 (step @p2672 :rule cong :premises (@p2671) :args ((forall @t1141 (or @t2184 @t4229)))) % 1.61/1.81 (step @p2673 :rule trans :premises (@p2672 @p2666)) % 1.61/1.81 (step @p2674 :rule trans :premises (@p2673 @p2665)) % 1.61/1.81 (step @p2675 :rule refl :args (@t4229)) % 1.61/1.81 (step @p2676 :rule nary_cong :premises (@p2169 @p2675) :args (@t4230)) % 1.61/1.81 (step @p2677 :rule cong :premises (@p2676) :args ((forall @t1141 @t4230))) % 1.61/1.81 (step @p2678 :rule trans :premises (@p2677 @p2674)) % 1.61/1.81 (step @p2679 :rule bool-impl-elim :args (@t1139 @t4229)) % 1.61/1.81 (step @p2680 :rule cong :premises (@p2679) :args ((forall @t1141 (=> @t1139 @t4229)))) % 1.61/1.81 (step @p2681 :rule trans :premises (@p2680 @p2678)) % 1.61/1.81 (step @p2682 :rule aci_norm :args ((= @t4232 @t4227))) % 1.61/1.81 (step @p2683 :rule cong :premises (@p2682) :args (@t4233)) % 1.61/1.81 (step @p2684 :rule quant-merge-prenex :args ((= (forall @t1137 @t4235) @t4233))) % 1.61/1.81 (step @p2685 :rule alpha_equiv :args (@t4236 (@list @t4220 @t4219) (@list @t1341 @t4237))) % 1.61/1.81 (step @p2686 :rule nary_cong :premises (@p2340 @p2685) :args (@t4238)) % 1.61/1.81 (step @p2687 :rule quant-miniscope-or :args ((= @t4235 @t4238))) % 1.61/1.81 (step @p2688 :rule trans :premises (@p2687 @p2686)) % 1.61/1.81 (step @p2689 :rule symm :premises (@p2688)) % 1.61/1.81 (step @p2690 :rule cong :premises (@p2689) :args ((forall @t1137 (or @t4086 @t4246)))) % 1.61/1.81 (step @p2691 :rule trans :premises (@p2690 @p2684)) % 1.61/1.81 (step @p2692 :rule trans :premises (@p2691 @p2683)) % 1.61/1.81 (step @p2693 :rule refl :args (@t4246)) % 1.61/1.81 (step @p2694 :rule nary_cong :premises (@p2232 @p2693) :args (@t4247)) % 1.61/1.81 (step @p2695 :rule cong :premises (@p2694) :args ((forall @t1137 @t4247))) % 1.61/1.81 (step @p2696 :rule trans :premises (@p2695 @p2692)) % 1.61/1.81 (step @p2697 :rule bool-impl-elim :args (@t1136 @t4246)) % 1.61/1.81 (step @p2698 :rule cong :premises (@p2697) :args ((forall @t1137 (=> @t1136 @t4246)))) % 1.61/1.81 (step @p2699 :rule trans :premises (@p2698 @p2696)) % 1.61/1.81 (step @p2700 :rule aci_norm :args ((= @t4249 @t4244))) % 1.61/1.81 (step @p2701 :rule cong :premises (@p2700) :args (@t4250)) % 1.61/1.81 (step @p2702 :rule quant-merge-prenex :args ((= (forall @t1349 @t4252) @t4250))) % 1.61/1.81 (step @p2703 :rule alpha_equiv :args (@t4253 (@list @t4237) @t4183)) % 1.61/1.81 (step @p2704 :rule refl :args (@t4243)) % 1.61/1.81 (step @p2705 :rule nary_cong :premises (@p2476 @p2704 @p2703) :args (@t4254)) % 1.61/1.81 (step @p2706 :rule quant-miniscope-or :args ((= @t4252 @t4254))) % 1.61/1.81 (step @p2707 :rule trans :premises (@p2706 @p2705)) % 1.61/1.81 (step @p2708 :rule symm :premises (@p2707)) % 1.61/1.81 (step @p2709 :rule cong :premises (@p2708) :args ((forall @t1349 (or @t4138 @t4243 @t4258)))) % 1.61/1.81 (step @p2710 :rule trans :premises (@p2709 @p2702)) % 1.61/1.81 (step @p2711 :rule trans :premises (@p2710 @p2701)) % 1.61/1.81 (step @p2712 :rule refl :args (@t4258)) % 1.61/1.81 (step @p2713 :rule refl :args (@t4242)) % 1.61/1.81 (step @p2714 :rule refl :args (@t1493)) % 1.61/1.81 (step @p2715 :rule cong :premises (@p2714 @p2713) :args ((= @t1493 @t4242))) % 1.61/1.81 (step @p2716 :rule symm :premises (@p2715)) % 1.61/1.81 (step @p2717 :rule eq_resolve :premises (@p2714 @p2716)) % 1.61/1.81 (step @p2718 :rule cong :premises (@p2717) :args (@t4259)) % 1.61/1.81 (step @p2719 :rule nary_cong :premises (@p2417 @p2718 @p2712) :args (@t4260)) % 1.61/1.81 (step @p2720 :rule cong :premises (@p2719) :args ((forall @t1349 @t4260))) % 1.61/1.81 (step @p2721 :rule trans :premises (@p2720 @p2711)) % 1.61/1.81 (step @p2722 :rule aci_norm :args ((= (or @t4142 @t4261) @t4260))) % 1.61/1.81 (step @p2723 :rule bool-impl-elim :args (@t1347 @t4261)) % 1.61/1.81 (step @p2724 :rule trans :premises (@p2723 @p2722)) % 1.61/1.81 (step @p2725 :rule cong :premises (@p2724) :args ((forall @t1349 (=> @t1347 @t4261)))) % 1.61/1.81 (step @p2726 :rule trans :premises (@p2725 @p2721)) % 1.61/1.81 (step @p2727 :rule refl :args ((tptp.subset @t1132 @t1520))) % 1.61/1.81 (step @p2728 :rule refl :args (@t4255)) % 1.61/1.81 (step @p2729 :rule cong :premises (@p2364 @p2728) :args (@t4256)) % 1.61/1.81 (step @p2730 :rule trans :premises (@p2729 @p2727)) % 1.61/1.81 (step @p2731 :rule refl :args (tptp.subset)) % 1.61/1.81 (step @p2732 :rule ho_cong :premises (@p2731 @p2364)) % 1.61/1.81 (step @p2733 :rule ho_cong :premises (@p2732 @p2728)) % 1.61/1.81 (step @p2734 :rule cong :premises (@p2733 @p2730) :args ((= (_ @t4262 @t4255) @t4256))) % 1.61/1.81 (step @p2735 :rule symm :premises (@p2734)) % 1.61/1.81 (step @p2736 :rule refl :args (@t1521)) % 1.61/1.81 (step @p2737 :rule eq_resolve :premises (@p2736 @p2735)) % 1.61/1.81 (step @p2738 :rule refl :args (@t1520)) % 1.61/1.81 (step @p2739 :rule cong :premises (@p2738 @p2728) :args ((= @t1520 @t4255))) % 1.61/1.81 (step @p2740 :rule symm :premises (@p2739)) % 1.61/1.81 (step @p2741 :rule eq_resolve :premises (@p2738 @p2740)) % 1.61/1.81 (step @p2742 :rule ho_cong :premises (@p2731 @p2401)) % 1.61/1.81 (step @p2743 :rule ho_cong :premises (@p2742 @p2741)) % 1.61/1.81 (step @p2744 :rule trans :premises (@p2743 @p2737)) % 1.61/1.81 (step @p2745 :rule refl :args (@t4257)) % 1.61/1.81 (step @p2746 :rule refl :args (@t1522)) % 1.61/1.81 (step @p2747 :rule cong :premises (@p2746 @p2745) :args ((= @t1522 @t4257))) % 1.61/1.81 (step @p2748 :rule symm :premises (@p2747)) % 1.61/1.81 (step @p2749 :rule eq_resolve :premises (@p2746 @p2748)) % 1.61/1.81 (step @p2750 :rule cong :premises (@p2749) :args (@t4263)) % 1.61/1.81 (step @p2751 :rule nary_cong :premises (@p2578 @p2750 @p2744) :args (@t4264)) % 1.61/1.81 (step @p2752 :rule cong :premises (@p2751) :args (@t4265)) % 1.61/1.81 (step @p2753 :rule refl :args (@t4259)) % 1.61/1.81 (step @p2754 :rule nary_cong :premises (@p2753 @p2752) :args (@t4266)) % 1.61/1.81 (step @p2755 :rule quant-miniscope-or :args ((= (forall @t1527 @t4267) @t4266))) % 1.61/1.81 (step @p2756 :rule aci_norm :args ((= @t4268 @t4267))) % 1.61/1.81 (step @p2757 :rule cong :premises (@p2756) :args ((forall @t1527 @t4268))) % 1.61/1.81 (step @p2758 :rule trans :premises (@p2757 @p2755)) % 1.61/1.81 (step @p2759 :rule trans :premises (@p2758 @p2754)) % 1.61/1.81 (step @p2760 :rule aci_norm :args ((= (or @t4195 @t4269) @t4268))) % 1.61/1.81 (step @p2761 :rule aci_norm :args ((= (or @t4259 (or @t4263 @t1521)) @t4269))) % 1.61/1.81 (step @p2762 :rule bool-impl-elim :args (@t1522 @t1521)) % 1.61/1.81 (step @p2763 :rule refl :args (@t4259)) % 1.61/1.81 (step @p2764 :rule nary_cong :premises (@p2763 @p2762) :args ((or @t4259 @t1523))) % 1.61/1.81 (step @p2765 :rule trans :premises (@p2764 @p2761)) % 1.61/1.81 (step @p2766 :rule bool-impl-elim :args (@t1493 @t1523)) % 1.61/1.81 (step @p2767 :rule trans :premises (@p2766 @p2765)) % 1.61/1.81 (step @p2768 :rule refl :args (@t4195)) % 1.61/1.81 (step @p2769 :rule nary_cong :premises (@p2768 @p2767) :args ((or @t4195 @t1524))) % 1.61/1.81 (step @p2770 :rule trans :premises (@p2769 @p2760)) % 1.61/1.81 (step @p2771 :rule bool-impl-elim :args (@t1526 @t1524)) % 1.61/1.81 (step @p2772 :rule trans :premises (@p2771 @p2770)) % 1.61/1.81 (step @p2773 :rule cong :premises (@p2772) :args (@t1528)) % 1.61/1.81 (step @p2774 :rule trans :premises (@p2773 @p2759)) % 1.61/1.81 (step @p2775 :rule cong :premises (@p2584 @p2774) :args (@t1529)) % 1.61/1.81 (step @p2776 :rule cong :premises (@p2775) :args (@t1530)) % 1.61/1.81 (step @p2777 :rule trans :premises (@p2776 @p2726)) % 1.61/1.81 (step @p2778 :rule cong :premises (@p2423 @p2777) :args (@t1531)) % 1.61/1.81 (step @p2779 :rule cong :premises (@p2778) :args (@t1532)) % 1.61/1.81 (step @p2780 :rule trans :premises (@p2779 @p2699)) % 1.61/1.81 (step @p2781 :rule cong :premises (@p2238 @p2780) :args (@t1533)) % 1.61/1.81 (step @p2782 :rule cong :premises (@p2781) :args (@t1534)) % 1.61/1.81 (step @p2783 :rule trans :premises (@p2782 @p2681)) % 1.61/1.81 (step @p2784 :rule refl :args (tptp.woz13rule4)) % 1.61/1.81 (step @p2785 :rule cong :premises (@p2784 @p2783) :args (@t1535)) % 1.61/1.81 (step @p2786 :rule eq_resolve :premises (@p279 @p2785)) % 1.61/1.81 (step @p2787 :rule cong :premises (@p2786 @p2663) :args (@t4270)) % 1.61/1.81 (step @p2788 :rule aci_norm :args ((= @t4272 @t2236))) % 1.61/1.81 (step @p2789 :rule cong :premises (@p2788) :args (@t4273)) % 1.61/1.81 (step @p2790 :rule quant-merge-prenex :args ((= (forall @t1141 @t4275) @t4273))) % 1.61/1.81 (step @p2791 :rule alpha_equiv :args (@t4276 (@list @t2230 @t2229) (@list @t1131 @t4277))) % 1.61/1.81 (step @p2792 :rule nary_cong :premises (@p2143 @p2791) :args (@t4278)) % 1.61/1.81 (step @p2793 :rule quant-miniscope-or :args ((= @t4275 @t4278))) % 1.61/1.81 (step @p2794 :rule trans :premises (@p2793 @p2792)) % 1.61/1.81 (step @p2795 :rule symm :premises (@p2794)) % 1.61/1.81 (step @p2796 :rule cong :premises (@p2795) :args ((forall @t1141 (or @t2184 @t4286)))) % 1.61/1.81 (step @p2797 :rule trans :premises (@p2796 @p2790)) % 1.61/1.81 (step @p2798 :rule trans :premises (@p2797 @p2789)) % 1.61/1.81 (step @p2799 :rule refl :args (@t4286)) % 1.61/1.81 (step @p2800 :rule nary_cong :premises (@p2169 @p2799) :args (@t4287)) % 1.61/1.81 (step @p2801 :rule cong :premises (@p2800) :args ((forall @t1141 @t4287))) % 1.61/1.81 (step @p2802 :rule trans :premises (@p2801 @p2798)) % 1.61/1.81 (step @p2803 :rule bool-impl-elim :args (@t1139 @t4286)) % 1.61/1.81 (step @p2804 :rule cong :premises (@p2803) :args ((forall @t1141 (=> @t1139 @t4286)))) % 1.61/1.81 (step @p2805 :rule trans :premises (@p2804 @p2802)) % 1.61/1.81 (step @p2806 :rule aci_norm :args ((= @t4289 @t4284))) % 1.61/1.81 (step @p2807 :rule cong :premises (@p2806) :args (@t4290)) % 1.61/1.81 (step @p2808 :rule quant-merge-prenex :args ((= (forall @t1137 @t4292) @t4290))) % 1.61/1.81 (step @p2809 :rule alpha_equiv :args (@t4293 (@list @t4277) @t4130)) % 1.61/1.81 (step @p2810 :rule refl :args (@t4283)) % 1.61/1.81 (step @p2811 :rule nary_cong :premises (@p2340 @p2810 @p2809) :args (@t4294)) % 1.61/1.81 (step @p2812 :rule quant-miniscope-or :args ((= @t4292 @t4294))) % 1.61/1.81 (step @p2813 :rule trans :premises (@p2812 @p2811)) % 1.61/1.81 (step @p2814 :rule symm :premises (@p2813)) % 1.61/1.81 (step @p2815 :rule cong :premises (@p2814) :args ((forall @t1137 (or @t4086 @t4283 @t4297)))) % 1.61/1.81 (step @p2816 :rule trans :premises (@p2815 @p2808)) % 1.61/1.81 (step @p2817 :rule trans :premises (@p2816 @p2807)) % 1.61/1.81 (step @p2818 :rule refl :args (@t4297)) % 1.61/1.81 (step @p2819 :rule refl :args (@t4282)) % 1.61/1.81 (step @p2820 :rule refl :args (@t1181)) % 1.61/1.81 (step @p2821 :rule cong :premises (@p2820 @p2819) :args ((= @t1181 @t4282))) % 1.61/1.81 (step @p2822 :rule symm :premises (@p2821)) % 1.61/1.81 (step @p2823 :rule eq_resolve :premises (@p2820 @p2822)) % 1.61/1.81 (step @p2824 :rule cong :premises (@p2823) :args (@t4298)) % 1.61/1.81 (step @p2825 :rule nary_cong :premises (@p2232 @p2824 @p2818) :args (@t4299)) % 1.61/1.81 (step @p2826 :rule cong :premises (@p2825) :args ((forall @t1137 @t4299))) % 1.61/1.81 (step @p2827 :rule trans :premises (@p2826 @p2817)) % 1.61/1.81 (step @p2828 :rule aci_norm :args ((= (or @t4090 @t4300) @t4299))) % 1.61/1.81 (step @p2829 :rule bool-impl-elim :args (@t1136 @t4300)) % 1.61/1.81 (step @p2830 :rule trans :premises (@p2829 @p2828)) % 1.61/1.81 (step @p2831 :rule cong :premises (@p2830) :args ((forall @t1137 (=> @t1136 @t4300)))) % 1.61/1.81 (step @p2832 :rule trans :premises (@p2831 @p2827)) % 1.61/1.81 (step @p2833 :rule refl :args ((tptp.subset @t695 @t1509))) % 1.61/1.81 (step @p2834 :rule refl :args (@t4295)) % 1.61/1.81 (step @p2835 :rule cong :premises (@p2154 @p2834) :args (@t4296)) % 1.61/1.81 (step @p2836 :rule trans :premises (@p2835 @p2833)) % 1.61/1.81 (step @p2837 :rule ho_cong :premises (@p2283 @p2834)) % 1.61/1.81 (step @p2838 :rule cong :premises (@p2837 @p2836) :args ((= (_ @t1180 @t4295) @t4296))) % 1.61/1.81 (step @p2839 :rule symm :premises (@p2838)) % 1.61/1.81 (step @p2840 :rule refl :args (@t1510)) % 1.61/1.81 (step @p2841 :rule eq_resolve :premises (@p2840 @p2839)) % 1.61/1.81 (step @p2842 :rule refl :args (@t1509)) % 1.61/1.81 (step @p2843 :rule cong :premises (@p2842 @p2834) :args ((= @t1509 @t4295))) % 1.61/1.81 (step @p2844 :rule symm :premises (@p2843)) % 1.61/1.81 (step @p2845 :rule eq_resolve :premises (@p2842 @p2844)) % 1.61/1.81 (step @p2846 :rule ho_cong :premises (@p2283 @p2845)) % 1.61/1.81 (step @p2847 :rule trans :premises (@p2846 @p2841)) % 1.61/1.81 (step @p2848 :rule nary_cong :premises (@p2417 @p2718 @p2847) :args (@t4301)) % 1.61/1.81 (step @p2849 :rule cong :premises (@p2848) :args (@t4302)) % 1.61/1.81 (step @p2850 :rule refl :args (@t4298)) % 1.61/1.81 (step @p2851 :rule nary_cong :premises (@p2850 @p2849) :args (@t4303)) % 1.61/1.81 (step @p2852 :rule quant-miniscope-or :args ((= (forall @t1349 @t4304) @t4303))) % 1.61/1.81 (step @p2853 :rule aci_norm :args ((= @t4305 @t4304))) % 1.61/1.81 (step @p2854 :rule cong :premises (@p2853) :args ((forall @t1349 @t4305))) % 1.61/1.81 (step @p2855 :rule trans :premises (@p2854 @p2852)) % 1.61/1.81 (step @p2856 :rule trans :premises (@p2855 @p2851)) % 1.61/1.81 (step @p2857 :rule aci_norm :args ((= (or @t4142 @t4306) @t4305))) % 1.61/1.81 (step @p2858 :rule aci_norm :args ((= (or @t4298 (or @t4259 @t1510)) @t4306))) % 1.61/1.81 (step @p2859 :rule bool-impl-elim :args (@t1493 @t1510)) % 1.61/1.81 (step @p2860 :rule refl :args (@t4298)) % 1.61/1.81 (step @p2861 :rule nary_cong :premises (@p2860 @p2859) :args ((or @t4298 @t1511))) % 1.61/1.81 (step @p2862 :rule trans :premises (@p2861 @p2858)) % 1.61/1.81 (step @p2863 :rule bool-impl-elim :args (@t1181 @t1511)) % 1.61/1.81 (step @p2864 :rule trans :premises (@p2863 @p2862)) % 1.61/1.81 (step @p2865 :rule refl :args (@t4142)) % 1.61/1.81 (step @p2866 :rule nary_cong :premises (@p2865 @p2864) :args ((or @t4142 @t1512))) % 1.61/1.81 (step @p2867 :rule trans :premises (@p2866 @p2857)) % 1.61/1.81 (step @p2868 :rule bool-impl-elim :args (@t1347 @t1512)) % 1.61/1.81 (step @p2869 :rule trans :premises (@p2868 @p2867)) % 1.61/1.81 (step @p2870 :rule cong :premises (@p2869) :args (@t1513)) % 1.61/1.81 (step @p2871 :rule trans :premises (@p2870 @p2856)) % 1.61/1.81 (step @p2872 :rule cong :premises (@p2423 @p2871) :args (@t1514)) % 1.61/1.81 (step @p2873 :rule cong :premises (@p2872) :args (@t1515)) % 1.61/1.81 (step @p2874 :rule trans :premises (@p2873 @p2832)) % 1.61/1.81 (step @p2875 :rule cong :premises (@p2238 @p2874) :args (@t1516)) % 1.61/1.81 (step @p2876 :rule cong :premises (@p2875) :args (@t1517)) % 1.61/1.81 (step @p2877 :rule trans :premises (@p2876 @p2805)) % 1.61/1.81 (step @p2878 :rule refl :args (tptp.woz13rule3)) % 1.61/1.81 (step @p2879 :rule cong :premises (@p2878 @p2877) :args (@t1518)) % 1.61/1.81 (step @p2880 :rule eq_resolve :premises (@p278 @p2879)) % 1.61/1.81 (step @p2881 :rule cong :premises (@p2880 @p2787) :args (@t4307)) % 1.61/1.81 (step @p2882 :rule aci_norm :args ((= @t4309 @t2244))) % 1.61/1.81 (step @p2883 :rule cong :premises (@p2882) :args (@t4310)) % 1.61/1.81 (step @p2884 :rule quant-merge-prenex :args ((= (forall @t1141 @t4312) @t4310))) % 1.61/1.81 (step @p2885 :rule alpha_equiv :args (@t4313 (@list @t2239 @t2238) (@list @t1131 @t4314))) % 1.61/1.81 (step @p2886 :rule nary_cong :premises (@p2143 @p2885) :args (@t4315)) % 1.61/1.81 (step @p2887 :rule quant-miniscope-or :args ((= @t4312 @t4315))) % 1.61/1.81 (step @p2888 :rule trans :premises (@p2887 @p2886)) % 1.61/1.81 (step @p2889 :rule symm :premises (@p2888)) % 1.61/1.81 (step @p2890 :rule cong :premises (@p2889) :args ((forall @t1141 (or @t2184 @t4321)))) % 1.61/1.81 (step @p2891 :rule trans :premises (@p2890 @p2884)) % 1.61/1.81 (step @p2892 :rule trans :premises (@p2891 @p2883)) % 1.61/1.81 (step @p2893 :rule refl :args (@t4321)) % 1.61/1.81 (step @p2894 :rule nary_cong :premises (@p2169 @p2893) :args (@t4322)) % 1.61/1.81 (step @p2895 :rule cong :premises (@p2894) :args ((forall @t1141 @t4322))) % 1.61/1.81 (step @p2896 :rule trans :premises (@p2895 @p2892)) % 1.61/1.81 (step @p2897 :rule bool-impl-elim :args (@t1139 @t4321)) % 1.61/1.81 (step @p2898 :rule cong :premises (@p2897) :args ((forall @t1141 (=> @t1139 @t4321)))) % 1.61/1.81 (step @p2899 :rule trans :premises (@p2898 @p2896)) % 1.61/1.81 (step @p2900 :rule aci_norm :args ((= @t4324 @t4319))) % 1.61/1.81 (step @p2901 :rule cong :premises (@p2900) :args (@t4325)) % 1.61/1.81 (step @p2902 :rule quant-merge-prenex :args ((= (forall @t1137 @t4327) @t4325))) % 1.61/1.81 (step @p2903 :rule alpha_equiv :args (@t4328 (@list @t4314) @t4130)) % 1.61/1.81 (step @p2904 :rule nary_cong :premises (@p2340 @p2903) :args (@t4329)) % 1.61/1.81 (step @p2905 :rule quant-miniscope-or :args ((= @t4327 @t4329))) % 1.61/1.81 (step @p2906 :rule trans :premises (@p2905 @p2904)) % 1.61/1.81 (step @p2907 :rule symm :premises (@p2906)) % 1.61/1.81 (step @p2908 :rule cong :premises (@p2907) :args ((forall @t1137 (or @t4086 @t4332)))) % 1.61/1.81 (step @p2909 :rule trans :premises (@p2908 @p2902)) % 1.61/1.81 (step @p2910 :rule trans :premises (@p2909 @p2901)) % 1.61/1.81 (step @p2911 :rule refl :args (@t4332)) % 1.61/1.81 (step @p2912 :rule nary_cong :premises (@p2232 @p2911) :args (@t4333)) % 1.61/1.81 (step @p2913 :rule cong :premises (@p2912) :args ((forall @t1137 @t4333))) % 1.61/1.81 (step @p2914 :rule trans :premises (@p2913 @p2910)) % 1.61/1.81 (step @p2915 :rule bool-impl-elim :args (@t1136 @t4332)) % 1.61/1.81 (step @p2916 :rule cong :premises (@p2915) :args ((forall @t1137 (=> @t1136 @t4332)))) % 1.61/1.81 (step @p2917 :rule trans :premises (@p2916 @p2914)) % 1.61/1.81 (step @p2918 :rule refl :args ((tptp.subset @t1132 @t1341))) % 1.61/1.81 (step @p2919 :rule cong :premises (@p2364 @p2406) :args (@t4330)) % 1.61/1.81 (step @p2920 :rule trans :premises (@p2919 @p2918)) % 1.61/1.81 (step @p2921 :rule ho_cong :premises (@p2732 @p2406)) % 1.61/1.81 (step @p2922 :rule cong :premises (@p2921 @p2920) :args ((= (_ @t4262 @t1341) @t4330))) % 1.61/1.81 (step @p2923 :rule symm :premises (@p2922)) % 1.61/1.81 (step @p2924 :rule refl :args (@t1492)) % 1.61/1.81 (step @p2925 :rule eq_resolve :premises (@p2924 @p2923)) % 1.61/1.81 (step @p2926 :rule ho_cong :premises (@p2742 @p2406)) % 1.61/1.81 (step @p2927 :rule trans :premises (@p2926 @p2925)) % 1.61/1.81 (step @p2928 :rule refl :args (@t4331)) % 1.61/1.81 (step @p2929 :rule refl :args (@t1501)) % 1.61/1.81 (step @p2930 :rule cong :premises (@p2929 @p2928) :args ((= @t1501 @t4331))) % 1.61/1.81 (step @p2931 :rule symm :premises (@p2930)) % 1.61/1.81 (step @p2932 :rule eq_resolve :premises (@p2929 @p2931)) % 1.61/1.81 (step @p2933 :rule cong :premises (@p2932) :args (@t4334)) % 1.61/1.81 (step @p2934 :rule nary_cong :premises (@p2417 @p2933 @p2927) :args (@t4335)) % 1.61/1.81 (step @p2935 :rule cong :premises (@p2934) :args ((forall @t1349 @t4335))) % 1.61/1.81 (step @p2936 :rule aci_norm :args ((= (or @t4142 (or @t4334 @t1492)) @t4335))) % 1.61/1.81 (step @p2937 :rule bool-impl-elim :args (@t1501 @t1492)) % 1.61/1.81 (step @p2938 :rule nary_cong :premises (@p2865 @p2937) :args ((or @t4142 @t1502))) % 1.61/1.81 (step @p2939 :rule trans :premises (@p2938 @p2936)) % 1.61/1.81 (step @p2940 :rule bool-impl-elim :args (@t1347 @t1502)) % 1.61/1.81 (step @p2941 :rule trans :premises (@p2940 @p2939)) % 1.61/1.81 (step @p2942 :rule cong :premises (@p2941) :args (@t1503)) % 1.61/1.81 (step @p2943 :rule trans :premises (@p2942 @p2935)) % 1.61/1.81 (step @p2944 :rule cong :premises (@p2423 @p2943) :args (@t1504)) % 1.61/1.81 (step @p2945 :rule cong :premises (@p2944) :args (@t1505)) % 1.61/1.81 (step @p2946 :rule trans :premises (@p2945 @p2917)) % 1.61/1.81 (step @p2947 :rule cong :premises (@p2238 @p2946) :args (@t1506)) % 1.61/1.81 (step @p2948 :rule cong :premises (@p2947) :args (@t1507)) % 1.61/1.81 (step @p2949 :rule trans :premises (@p2948 @p2899)) % 1.61/1.81 (step @p2950 :rule refl :args (tptp.woz13rule2)) % 1.61/1.81 (step @p2951 :rule cong :premises (@p2950 @p2949) :args (@t1508)) % 1.61/1.81 (step @p2952 :rule eq_resolve :premises (@p277 @p2951)) % 1.61/1.81 (step @p2953 :rule cong :premises (@p2952 @p2881) :args (@t4336)) % 1.61/1.81 (step @p2954 :rule aci_norm :args ((= @t4338 @t2252))) % 1.61/1.81 (step @p2955 :rule cong :premises (@p2954) :args (@t4339)) % 1.61/1.81 (step @p2956 :rule quant-merge-prenex :args ((= (forall @t1141 @t4341) @t4339))) % 1.61/1.81 (step @p2957 :rule alpha_equiv :args (@t4342 (@list @t2247 @t2246) (@list @t1131 @t4343))) % 1.61/1.81 (step @p2958 :rule nary_cong :premises (@p2143 @p2957) :args (@t4344)) % 1.61/1.81 (step @p2959 :rule quant-miniscope-or :args ((= @t4341 @t4344))) % 1.61/1.81 (step @p2960 :rule trans :premises (@p2959 @p2958)) % 1.61/1.81 (step @p2961 :rule symm :premises (@p2960)) % 1.61/1.81 (step @p2962 :rule cong :premises (@p2961) :args ((forall @t1141 (or @t2184 @t4350)))) % 1.61/1.81 (step @p2963 :rule trans :premises (@p2962 @p2956)) % 1.61/1.81 (step @p2964 :rule trans :premises (@p2963 @p2955)) % 1.61/1.81 (step @p2965 :rule refl :args (@t4350)) % 1.61/1.81 (step @p2966 :rule nary_cong :premises (@p2169 @p2965) :args (@t4351)) % 1.61/1.81 (step @p2967 :rule cong :premises (@p2966) :args ((forall @t1141 @t4351))) % 1.61/1.81 (step @p2968 :rule trans :premises (@p2967 @p2964)) % 1.61/1.81 (step @p2969 :rule bool-impl-elim :args (@t1139 @t4350)) % 1.61/1.81 (step @p2970 :rule cong :premises (@p2969) :args ((forall @t1141 (=> @t1139 @t4350)))) % 1.61/1.81 (step @p2971 :rule trans :premises (@p2970 @p2968)) % 1.61/1.81 (step @p2972 :rule aci_norm :args ((= @t4353 @t4348))) % 1.61/1.81 (step @p2973 :rule cong :premises (@p2972) :args (@t4354)) % 1.61/1.81 (step @p2974 :rule quant-merge-prenex :args ((= (forall @t1137 @t4356) @t4354))) % 1.61/1.81 (step @p2975 :rule alpha_equiv :args (@t4357 (@list @t4343) @t4130)) % 1.61/1.81 (step @p2976 :rule nary_cong :premises (@p2340 @p2975) :args (@t4358)) % 1.61/1.81 (step @p2977 :rule quant-miniscope-or :args ((= @t4356 @t4358))) % 1.61/1.81 (step @p2978 :rule trans :premises (@p2977 @p2976)) % 1.61/1.81 (step @p2979 :rule symm :premises (@p2978)) % 1.61/1.81 (step @p2980 :rule cong :premises (@p2979) :args ((forall @t1137 (or @t4086 @t4359)))) % 1.61/1.81 (step @p2981 :rule trans :premises (@p2980 @p2974)) % 1.61/1.81 (step @p2982 :rule trans :premises (@p2981 @p2973)) % 1.61/1.81 (step @p2983 :rule refl :args (@t4359)) % 1.61/1.81 (step @p2984 :rule nary_cong :premises (@p2232 @p2983) :args (@t4360)) % 1.61/1.81 (step @p2985 :rule cong :premises (@p2984) :args ((forall @t1137 @t4360))) % 1.61/1.81 (step @p2986 :rule trans :premises (@p2985 @p2982)) % 1.61/1.81 (step @p2987 :rule bool-impl-elim :args (@t1136 @t4359)) % 1.61/1.81 (step @p2988 :rule cong :premises (@p2987) :args ((forall @t1137 (=> @t1136 @t4359)))) % 1.61/1.81 (step @p2989 :rule trans :premises (@p2988 @p2986)) % 1.61/1.81 (step @p2990 :rule nary_cong :premises (@p2417 @p2718 @p2927) :args (@t4361)) % 1.61/1.81 (step @p2991 :rule cong :premises (@p2990) :args ((forall @t1349 @t4361))) % 1.61/1.81 (step @p2992 :rule aci_norm :args ((= (or @t4142 (or @t4259 @t1492)) @t4361))) % 1.61/1.81 (step @p2993 :rule bool-impl-elim :args (@t1493 @t1492)) % 1.61/1.81 (step @p2994 :rule nary_cong :premises (@p2865 @p2993) :args ((or @t4142 @t1494))) % 1.61/1.81 (step @p2995 :rule trans :premises (@p2994 @p2992)) % 1.61/1.81 (step @p2996 :rule bool-impl-elim :args (@t1347 @t1494)) % 1.61/1.81 (step @p2997 :rule trans :premises (@p2996 @p2995)) % 1.61/1.81 (step @p2998 :rule cong :premises (@p2997) :args (@t1495)) % 1.61/1.81 (step @p2999 :rule trans :premises (@p2998 @p2991)) % 1.61/1.81 (step @p3000 :rule cong :premises (@p2423 @p2999) :args (@t1496)) % 1.61/1.81 (step @p3001 :rule cong :premises (@p3000) :args (@t1497)) % 1.61/1.81 (step @p3002 :rule trans :premises (@p3001 @p2989)) % 1.61/1.81 (step @p3003 :rule cong :premises (@p2238 @p3002) :args (@t1498)) % 1.61/1.81 (step @p3004 :rule cong :premises (@p3003) :args (@t1499)) % 1.61/1.81 (step @p3005 :rule trans :premises (@p3004 @p2971)) % 1.61/1.81 (step @p3006 :rule refl :args (tptp.woz13rule1)) % 1.61/1.81 (step @p3007 :rule cong :premises (@p3006 @p3005) :args (@t1500)) % 1.61/1.81 (step @p3008 :rule eq_resolve :premises (@p276 @p3007)) % 1.61/1.81 (step @p3009 :rule cong :premises (@p3008 @p2953) :args (@t4362)) % 1.61/1.81 (step @p3010 :rule aci_norm :args ((= @t4364 @t2259))) % 1.61/1.81 (step @p3011 :rule cong :premises (@p3010) :args (@t4365)) % 1.61/1.81 (step @p3012 :rule quant-merge-prenex :args ((= (forall @t1141 @t4367) @t4365))) % 1.61/1.81 (step @p3013 :rule alpha_equiv :args (@t4368 (@list @t2256 @t2254) (@list @t1131 @t4369))) % 1.61/1.81 (step @p3014 :rule nary_cong :premises (@p2143 @p3013) :args (@t4370)) % 1.61/1.81 (step @p3015 :rule quant-miniscope-or :args ((= @t4367 @t4370))) % 1.61/1.81 (step @p3016 :rule trans :premises (@p3015 @p3014)) % 1.61/1.81 (step @p3017 :rule symm :premises (@p3016)) % 1.61/1.81 (step @p3018 :rule cong :premises (@p3017) :args ((forall @t1141 (or @t2184 @t4375)))) % 1.61/1.81 (step @p3019 :rule trans :premises (@p3018 @p3012)) % 1.61/1.81 (step @p3020 :rule trans :premises (@p3019 @p3011)) % 1.61/1.81 (step @p3021 :rule refl :args (@t4375)) % 1.61/1.81 (step @p3022 :rule nary_cong :premises (@p2169 @p3021) :args (@t4376)) % 1.61/1.81 (step @p3023 :rule cong :premises (@p3022) :args ((forall @t1141 @t4376))) % 1.61/1.81 (step @p3024 :rule trans :premises (@p3023 @p3020)) % 1.61/1.81 (step @p3025 :rule bool-impl-elim :args (@t1139 @t4375)) % 1.61/1.81 (step @p3026 :rule cong :premises (@p3025) :args ((forall @t1141 (=> @t1139 @t4375)))) % 1.61/1.81 (step @p3027 :rule trans :premises (@p3026 @p3024)) % 1.61/1.81 (step @p3028 :rule aci_norm :args ((= @t4378 @t4373))) % 1.61/1.81 (step @p3029 :rule cong :premises (@p3028) :args (@t4379)) % 1.61/1.81 (step @p3030 :rule quant-merge-prenex :args ((= (forall @t1137 @t4381) @t4379))) % 1.61/1.81 (step @p3031 :rule alpha_equiv :args (@t4382 (@list @t4369) @t3992)) % 1.61/1.81 (step @p3032 :rule nary_cong :premises (@p2340 @p3031) :args (@t4383)) % 1.61/1.81 (step @p3033 :rule quant-miniscope-or :args ((= @t4381 @t4383))) % 1.61/1.81 (step @p3034 :rule trans :premises (@p3033 @p3032)) % 1.61/1.81 (step @p3035 :rule symm :premises (@p3034)) % 1.61/1.81 (step @p3036 :rule cong :premises (@p3035) :args ((forall @t1137 (or @t4086 @t4386)))) % 1.61/1.81 (step @p3037 :rule trans :premises (@p3036 @p3030)) % 1.61/1.81 (step @p3038 :rule trans :premises (@p3037 @p3029)) % 1.61/1.81 (step @p3039 :rule refl :args (@t4386)) % 1.61/1.81 (step @p3040 :rule nary_cong :premises (@p2232 @p3039) :args (@t4387)) % 1.61/1.81 (step @p3041 :rule cong :premises (@p3040) :args ((forall @t1137 @t4387))) % 1.61/1.81 (step @p3042 :rule trans :premises (@p3041 @p3038)) % 1.61/1.81 (step @p3043 :rule bool-impl-elim :args (@t1136 @t4386)) % 1.61/1.81 (step @p3044 :rule cong :premises (@p3043) :args ((forall @t1137 (=> @t1136 @t4386)))) % 1.61/1.81 (step @p3045 :rule trans :premises (@p3044 @p3042)) % 1.61/1.81 (step @p3046 :rule refl :args ((tptp.in @t4 @t1132))) % 1.61/1.81 (step @p3047 :rule refl :args (@t4)) % 1.61/1.81 (step @p3048 :rule cong :premises (@p3047 @p2364) :args (@t4384)) % 1.61/1.81 (step @p3049 :rule trans :premises (@p3048 @p3046)) % 1.61/1.81 (step @p3050 :rule refl :args (@t5)) % 1.61/1.81 (step @p3051 :rule ho_cong :premises (@p3050 @p2364)) % 1.61/1.81 (step @p3052 :rule cong :premises (@p3051 @p3049) :args ((= (_ @t5 @t4117) @t4384))) % 1.61/1.81 (step @p3053 :rule symm :premises (@p3052)) % 1.61/1.81 (step @p3054 :rule refl :args (@t1215)) % 1.61/1.81 (step @p3055 :rule eq_resolve :premises (@p3054 @p3053)) % 1.61/1.81 (step @p3056 :rule ho_cong :premises (@p3050 @p2401)) % 1.61/1.81 (step @p3057 :rule trans :premises (@p3056 @p3055)) % 1.61/1.81 (step @p3058 :rule cong :premises (@p3057) :args (@t1216)) % 1.61/1.81 (step @p3059 :rule nary_cong :premises (@p3058 @p882) :args (@t4388)) % 1.61/1.81 (step @p3060 :rule cong :premises (@p3059) :args ((forall @t9 @t4388))) % 1.61/1.81 (step @p3061 :rule bool-impl-elim :args (@t1215 @t7)) % 1.61/1.81 (step @p3062 :rule cong :premises (@p3061) :args (@t1485)) % 1.61/1.81 (step @p3063 :rule trans :premises (@p3062 @p3060)) % 1.61/1.81 (step @p3064 :rule cong :premises (@p2423 @p3063) :args (@t1486)) % 1.61/1.81 (step @p3065 :rule cong :premises (@p3064) :args (@t1487)) % 1.61/1.81 (step @p3066 :rule trans :premises (@p3065 @p3045)) % 1.61/1.81 (step @p3067 :rule cong :premises (@p2238 @p3066) :args (@t1488)) % 1.61/1.81 (step @p3068 :rule cong :premises (@p3067) :args (@t1489)) % 1.61/1.81 (step @p3069 :rule trans :premises (@p3068 @p3027)) % 1.61/1.81 (step @p3070 :rule refl :args (tptp.woz13rule0)) % 1.61/1.81 (step @p3071 :rule cong :premises (@p3070 @p3069) :args (@t1490)) % 1.61/1.81 (step @p3072 :rule eq_resolve :premises (@p275 @p3071)) % 1.61/1.81 (step @p3073 :rule cong :premises (@p3072 @p3009) :args (@t4389)) % 1.61/1.81 (step @p3074 :rule aci_norm :args ((= @t4391 @t2264))) % 1.61/1.81 (step @p3075 :rule cong :premises (@p3074) :args (@t4392)) % 1.61/1.81 (step @p3076 :rule quant-merge-prenex :args ((= (forall @t1141 @t4394) @t4392))) % 1.61/1.81 (step @p3077 :rule alpha_equiv :args (@t4395 (@list @t2261) @t4080)) % 1.61/1.81 (step @p3078 :rule nary_cong :premises (@p2143 @p3077) :args (@t4396)) % 1.61/1.81 (step @p3079 :rule quant-miniscope-or :args ((= @t4394 @t4396))) % 1.61/1.81 (step @p3080 :rule trans :premises (@p3079 @p3078)) % 1.61/1.81 (step @p3081 :rule symm :premises (@p3080)) % 1.61/1.81 (step @p3082 :rule cong :premises (@p3081) :args ((forall @t1141 (or @t2184 @t4397)))) % 1.61/1.81 (step @p3083 :rule trans :premises (@p3082 @p3076)) % 1.61/1.81 (step @p3084 :rule trans :premises (@p3083 @p3075)) % 1.61/1.81 (step @p3085 :rule refl :args (@t4397)) % 1.61/1.81 (step @p3086 :rule nary_cong :premises (@p2169 @p3085) :args (@t4398)) % 1.61/1.81 (step @p3087 :rule cong :premises (@p3086) :args ((forall @t1141 @t4398))) % 1.61/1.81 (step @p3088 :rule trans :premises (@p3087 @p3084)) % 1.61/1.81 (step @p3089 :rule bool-impl-elim :args (@t1139 @t4397)) % 1.61/1.81 (step @p3090 :rule cong :premises (@p3089) :args ((forall @t1141 (=> @t1139 @t4397)))) % 1.61/1.81 (step @p3091 :rule trans :premises (@p3090 @p3088)) % 1.61/1.81 (step @p3092 :rule cong :premises (@p2216 @p2534) :args (@t1480)) % 1.61/1.81 (step @p3093 :rule nary_cong :premises (@p2232 @p3092) :args (@t4399)) % 1.61/1.81 (step @p3094 :rule cong :premises (@p3093) :args ((forall @t1137 @t4399))) % 1.61/1.81 (step @p3095 :rule bool-impl-elim :args (@t1136 @t1480)) % 1.61/1.81 (step @p3096 :rule cong :premises (@p3095) :args (@t1481)) % 1.61/1.81 (step @p3097 :rule trans :premises (@p3096 @p3094)) % 1.61/1.81 (step @p3098 :rule cong :premises (@p2238 @p3097) :args (@t1482)) % 1.61/1.81 (step @p3099 :rule cong :premises (@p3098) :args (@t1483)) % 1.61/1.81 (step @p3100 :rule trans :premises (@p3099 @p3091)) % 1.61/1.81 (step @p3101 :rule refl :args (tptp.demorgan2)) % 1.61/1.81 (step @p3102 :rule cong :premises (@p3101 @p3100) :args (@t1484)) % 1.61/1.81 (step @p3103 :rule eq_resolve :premises (@p274 @p3102)) % 1.61/1.81 (step @p3104 :rule cong :premises (@p3103 @p3073) :args (@t4400)) % 1.61/1.81 (step @p3105 :rule aci_norm :args ((= @t4402 @t2272))) % 1.61/1.81 (step @p3106 :rule cong :premises (@p3105) :args (@t4403)) % 1.61/1.81 (step @p3107 :rule quant-merge-prenex :args ((= (forall @t1141 @t4405) @t4403))) % 1.61/1.81 (step @p3108 :rule alpha_equiv :args (@t4406 (@list @t2266 @t2267) (@list @t1131 @t4407))) % 1.61/1.81 (step @p3109 :rule nary_cong :premises (@p2143 @p3108) :args (@t4408)) % 1.61/1.81 (step @p3110 :rule quant-miniscope-or :args ((= @t4405 @t4408))) % 1.61/1.81 (step @p3111 :rule trans :premises (@p3110 @p3109)) % 1.61/1.81 (step @p3112 :rule symm :premises (@p3111)) % 1.61/1.81 (step @p3113 :rule cong :premises (@p3112) :args ((forall @t1141 (or @t2184 @t4414)))) % 1.61/1.81 (step @p3114 :rule trans :premises (@p3113 @p3107)) % 1.61/1.81 (step @p3115 :rule trans :premises (@p3114 @p3106)) % 1.61/1.81 (step @p3116 :rule refl :args (@t4414)) % 1.61/1.81 (step @p3117 :rule nary_cong :premises (@p2169 @p3116) :args (@t4415)) % 1.61/1.81 (step @p3118 :rule cong :premises (@p3117) :args ((forall @t1141 @t4415))) % 1.61/1.81 (step @p3119 :rule trans :premises (@p3118 @p3115)) % 1.61/1.81 (step @p3120 :rule bool-impl-elim :args (@t1139 @t4414)) % 1.61/1.81 (step @p3121 :rule cong :premises (@p3120) :args ((forall @t1141 (=> @t1139 @t4414)))) % 1.61/1.81 (step @p3122 :rule trans :premises (@p3121 @p3119)) % 1.61/1.81 (step @p3123 :rule aci_norm :args ((= @t4417 @t4412))) % 1.61/1.81 (step @p3124 :rule cong :premises (@p3123) :args (@t4418)) % 1.61/1.81 (step @p3125 :rule quant-merge-prenex :args ((= (forall @t1137 @t4420) @t4418))) % 1.61/1.81 (step @p3126 :rule alpha_equiv :args (@t4421 (@list @t4407) @t3992)) % 1.61/1.81 (step @p3127 :rule nary_cong :premises (@p2340 @p3126) :args (@t4422)) % 1.61/1.81 (step @p3128 :rule quant-miniscope-or :args ((= @t4420 @t4422))) % 1.61/1.81 (step @p3129 :rule trans :premises (@p3128 @p3127)) % 1.61/1.81 (step @p3130 :rule symm :premises (@p3129)) % 1.61/1.81 (step @p3131 :rule cong :premises (@p3130) :args ((forall @t1137 (or @t4086 @t4425)))) % 1.61/1.81 (step @p3132 :rule trans :premises (@p3131 @p3125)) % 1.61/1.81 (step @p3133 :rule trans :premises (@p3132 @p3124)) % 1.61/1.81 (step @p3134 :rule refl :args (@t4425)) % 1.61/1.81 (step @p3135 :rule nary_cong :premises (@p2232 @p3134) :args (@t4426)) % 1.61/1.81 (step @p3136 :rule cong :premises (@p3135) :args ((forall @t1137 @t4426))) % 1.61/1.81 (step @p3137 :rule trans :premises (@p3136 @p3133)) % 1.61/1.81 (step @p3138 :rule bool-impl-elim :args (@t1136 @t4425)) % 1.61/1.81 (step @p3139 :rule cong :premises (@p3138) :args ((forall @t1137 (=> @t1136 @t4425)))) % 1.61/1.81 (step @p3140 :rule trans :premises (@p3139 @p3137)) % 1.61/1.81 (step @p3141 :rule refl :args ((tptp.in @t4 @t1386))) % 1.61/1.81 (step @p3142 :rule cong :premises (@p3047 @p2184) :args (@t4423)) % 1.61/1.81 (step @p3143 :rule trans :premises (@p3142 @p3141)) % 1.61/1.81 (step @p3144 :rule ho_cong :premises (@p3050 @p2184)) % 1.61/1.81 (step @p3145 :rule cong :premises (@p3144 @p3143) :args ((= (_ @t5 @t4083) @t4423))) % 1.61/1.81 (step @p3146 :rule symm :premises (@p3145)) % 1.61/1.81 (step @p3147 :rule refl :args (@t1387)) % 1.61/1.81 (step @p3148 :rule eq_resolve :premises (@p3147 @p3146)) % 1.61/1.81 (step @p3149 :rule ho_cong :premises (@p3050 @p2216)) % 1.61/1.81 (step @p3150 :rule trans :premises (@p3149 @p3148)) % 1.61/1.81 (step @p3151 :rule refl :args ((tptp.in @t4 @t1456))) % 1.61/1.81 (step @p3152 :rule cong :premises (@p3047 @p2499) :args (@t4424)) % 1.61/1.81 (step @p3153 :rule trans :premises (@p3152 @p3151)) % 1.61/1.81 (step @p3154 :rule ho_cong :premises (@p3050 @p2499)) % 1.61/1.81 (step @p3155 :rule cong :premises (@p3154 @p3153) :args ((= (_ @t5 @t4154) @t4424))) % 1.61/1.81 (step @p3156 :rule symm :premises (@p3155)) % 1.61/1.81 (step @p3157 :rule refl :args (@t1457)) % 1.61/1.81 (step @p3158 :rule eq_resolve :premises (@p3157 @p3156)) % 1.61/1.81 (step @p3159 :rule ho_cong :premises (@p3050 @p2534)) % 1.61/1.81 (step @p3160 :rule trans :premises (@p3159 @p3158)) % 1.61/1.81 (step @p3161 :rule cong :premises (@p3160) :args (@t4427)) % 1.61/1.81 (step @p3162 :rule nary_cong :premises (@p883 @p3161 @p3150) :args (@t4428)) % 1.61/1.81 (step @p3163 :rule cong :premises (@p3162) :args ((forall @t9 @t4428))) % 1.61/1.81 (step @p3164 :rule aci_norm :args ((= (or @t197 (or @t4427 @t1387)) @t4428))) % 1.61/1.81 (step @p3165 :rule bool-impl-elim :args (@t1457 @t1387)) % 1.61/1.81 (step @p3166 :rule refl :args (@t197)) % 1.61/1.81 (step @p3167 :rule nary_cong :premises (@p3166 @p3165) :args ((or @t197 @t1473))) % 1.61/1.81 (step @p3168 :rule trans :premises (@p3167 @p3164)) % 1.61/1.81 (step @p3169 :rule bool-impl-elim :args (@t7 @t1473)) % 1.61/1.81 (step @p3170 :rule trans :premises (@p3169 @p3168)) % 1.61/1.81 (step @p3171 :rule cong :premises (@p3170) :args (@t1474)) % 1.61/1.81 (step @p3172 :rule trans :premises (@p3171 @p3163)) % 1.61/1.81 (step @p3173 :rule cong :premises (@p2423 @p3172) :args (@t1475)) % 1.61/1.81 (step @p3174 :rule cong :premises (@p3173) :args (@t1476)) % 1.61/1.81 (step @p3175 :rule trans :premises (@p3174 @p3140)) % 1.61/1.81 (step @p3176 :rule cong :premises (@p2238 @p3175) :args (@t1477)) % 1.61/1.81 (step @p3177 :rule cong :premises (@p3176) :args (@t1478)) % 1.61/1.81 (step @p3178 :rule trans :premises (@p3177 @p3122)) % 1.61/1.81 (step @p3179 :rule refl :args (tptp.demorgan2b)) % 1.61/1.81 (step @p3180 :rule cong :premises (@p3179 @p3178) :args (@t1479)) % 1.61/1.81 (step @p3181 :rule eq_resolve :premises (@p273 @p3180)) % 1.61/1.81 (step @p3182 :rule cong :premises (@p3181 @p3104) :args (@t4429)) % 1.61/1.81 (step @p3183 :rule aci_norm :args ((= @t4431 @t2281))) % 1.61/1.81 (step @p3184 :rule cong :premises (@p3183) :args (@t4432)) % 1.61/1.81 (step @p3185 :rule quant-merge-prenex :args ((= (forall @t1141 @t4434) @t4432))) % 1.61/1.81 (step @p3186 :rule alpha_equiv :args (@t4435 (@list @t2274 @t2275) (@list @t1131 @t4436))) % 1.61/1.81 (step @p3187 :rule nary_cong :premises (@p2143 @p3186) :args (@t4437)) % 1.61/1.81 (step @p3188 :rule quant-miniscope-or :args ((= @t4434 @t4437))) % 1.61/1.81 (step @p3189 :rule trans :premises (@p3188 @p3187)) % 1.61/1.81 (step @p3190 :rule symm :premises (@p3189)) % 1.61/1.81 (step @p3191 :rule cong :premises (@p3190) :args ((forall @t1141 (or @t2184 @t4444)))) % 1.61/1.81 (step @p3192 :rule trans :premises (@p3191 @p3185)) % 1.61/1.81 (step @p3193 :rule trans :premises (@p3192 @p3184)) % 1.61/1.81 (step @p3194 :rule refl :args (@t4444)) % 1.61/1.81 (step @p3195 :rule nary_cong :premises (@p2169 @p3194) :args (@t4445)) % 1.61/1.81 (step @p3196 :rule cong :premises (@p3195) :args ((forall @t1141 @t4445))) % 1.61/1.81 (step @p3197 :rule trans :premises (@p3196 @p3193)) % 1.61/1.81 (step @p3198 :rule bool-impl-elim :args (@t1139 @t4444)) % 1.61/1.81 (step @p3199 :rule cong :premises (@p3198) :args ((forall @t1141 (=> @t1139 @t4444)))) % 1.61/1.81 (step @p3200 :rule trans :premises (@p3199 @p3197)) % 1.61/1.81 (step @p3201 :rule aci_norm :args ((= @t4447 @t4442))) % 1.61/1.81 (step @p3202 :rule cong :premises (@p3201) :args (@t4448)) % 1.61/1.81 (step @p3203 :rule quant-merge-prenex :args ((= (forall @t1137 @t4450) @t4448))) % 1.61/1.81 (step @p3204 :rule alpha_equiv :args (@t4451 (@list @t4436) @t3992)) % 1.61/1.81 (step @p3205 :rule nary_cong :premises (@p2340 @p3204) :args (@t4452)) % 1.61/1.81 (step @p3206 :rule quant-miniscope-or :args ((= @t4450 @t4452))) % 1.61/1.81 (step @p3207 :rule trans :premises (@p3206 @p3205)) % 1.61/1.81 (step @p3208 :rule symm :premises (@p3207)) % 1.61/1.81 (step @p3209 :rule cong :premises (@p3208) :args ((forall @t1137 (or @t4086 @t4456)))) % 1.61/1.81 (step @p3210 :rule trans :premises (@p3209 @p3203)) % 1.61/1.81 (step @p3211 :rule trans :premises (@p3210 @p3202)) % 1.61/1.81 (step @p3212 :rule refl :args (@t4456)) % 1.61/1.81 (step @p3213 :rule nary_cong :premises (@p2232 @p3212) :args (@t4457)) % 1.61/1.81 (step @p3214 :rule cong :premises (@p3213) :args ((forall @t1137 @t4457))) % 1.61/1.81 (step @p3215 :rule trans :premises (@p3214 @p3211)) % 1.61/1.81 (step @p3216 :rule bool-impl-elim :args (@t1136 @t4456)) % 1.61/1.81 (step @p3217 :rule cong :premises (@p3216) :args ((forall @t1137 (=> @t1136 @t4456)))) % 1.61/1.81 (step @p3218 :rule trans :premises (@p3217 @p3215)) % 1.61/1.81 (step @p3219 :rule refl :args ((tptp.in @t4 @t1234))) % 1.61/1.81 (step @p3220 :rule cong :premises (@p3047 @p2280) :args (@t4453)) % 1.61/1.81 (step @p3221 :rule trans :premises (@p3220 @p3219)) % 1.61/1.81 (step @p3222 :rule ho_cong :premises (@p3050 @p2280)) % 1.61/1.81 (step @p3223 :rule cong :premises (@p3222 @p3221) :args ((= (_ @t5 @t4101) @t4453))) % 1.61/1.81 (step @p3224 :rule symm :premises (@p3223)) % 1.61/1.81 (step @p3225 :rule refl :args (@t1427)) % 1.61/1.81 (step @p3226 :rule eq_resolve :premises (@p3225 @p3224)) % 1.61/1.81 (step @p3227 :rule ho_cong :premises (@p3050 @p2292)) % 1.61/1.81 (step @p3228 :rule trans :premises (@p3227 @p3226)) % 1.61/1.81 (step @p3229 :rule cong :premises (@p3228) :args (@t4458)) % 1.61/1.81 (step @p3230 :rule refl :args ((tptp.in @t4 @t1162))) % 1.61/1.81 (step @p3231 :rule cong :premises (@p3047 @p2178) :args (@t4454)) % 1.61/1.81 (step @p3232 :rule trans :premises (@p3231 @p3230)) % 1.61/1.81 (step @p3233 :rule ho_cong :premises (@p3050 @p2178)) % 1.61/1.81 (step @p3234 :rule cong :premises (@p3233 @p3232) :args ((= (_ @t5 @t2177) @t4454))) % 1.61/1.81 (step @p3235 :rule symm :premises (@p3234)) % 1.61/1.81 (step @p3236 :rule refl :args (@t1203)) % 1.61/1.81 (step @p3237 :rule eq_resolve :premises (@p3236 @p3235)) % 1.61/1.81 (step @p3238 :rule ho_cong :premises (@p3050 @p2202)) % 1.61/1.81 (step @p3239 :rule trans :premises (@p3238 @p3237)) % 1.61/1.81 (step @p3240 :rule cong :premises (@p3239) :args (@t1204)) % 1.61/1.81 (step @p3241 :rule nary_cong :premises (@p883 @p3240 @p3229 @p3150) :args (@t4459)) % 1.61/1.81 (step @p3242 :rule cong :premises (@p3241) :args ((forall @t9 @t4459))) % 1.61/1.81 (step @p3243 :rule aci_norm :args ((= (or @t197 @t4460) @t4459))) % 1.61/1.81 (step @p3244 :rule aci_norm :args ((= (or @t1204 (or @t4458 @t1387)) @t4460))) % 1.61/1.81 (step @p3245 :rule bool-impl-elim :args (@t1427 @t1387)) % 1.61/1.81 (step @p3246 :rule refl :args (@t1204)) % 1.61/1.81 (step @p3247 :rule nary_cong :premises (@p3246 @p3245) :args ((or @t1204 @t1465))) % 1.61/1.81 (step @p3248 :rule trans :premises (@p3247 @p3244)) % 1.61/1.81 (step @p3249 :rule bool-impl-elim :args (@t1203 @t1465)) % 1.61/1.81 (step @p3250 :rule trans :premises (@p3249 @p3248)) % 1.61/1.81 (step @p3251 :rule nary_cong :premises (@p3166 @p3250) :args ((or @t197 @t1466))) % 1.61/1.81 (step @p3252 :rule trans :premises (@p3251 @p3243)) % 1.61/1.81 (step @p3253 :rule bool-impl-elim :args (@t7 @t1466)) % 1.61/1.81 (step @p3254 :rule trans :premises (@p3253 @p3252)) % 1.61/1.81 (step @p3255 :rule cong :premises (@p3254) :args (@t1467)) % 1.61/1.81 (step @p3256 :rule trans :premises (@p3255 @p3242)) % 1.61/1.81 (step @p3257 :rule cong :premises (@p2423 @p3256) :args (@t1468)) % 1.61/1.81 (step @p3258 :rule cong :premises (@p3257) :args (@t1469)) % 1.61/1.81 (step @p3259 :rule trans :premises (@p3258 @p3218)) % 1.61/1.81 (step @p3260 :rule cong :premises (@p2238 @p3259) :args (@t1470)) % 1.61/1.81 (step @p3261 :rule cong :premises (@p3260) :args (@t1471)) % 1.61/1.81 (step @p3262 :rule trans :premises (@p3261 @p3200)) % 1.61/1.81 (step @p3263 :rule refl :args (tptp.demorgan2b2)) % 1.61/1.81 (step @p3264 :rule cong :premises (@p3263 @p3262) :args (@t1472)) % 1.61/1.81 (step @p3265 :rule eq_resolve :premises (@p272 @p3264)) % 1.61/1.81 (step @p3266 :rule cong :premises (@p3265 @p3182) :args (@t4461)) % 1.61/1.81 (step @p3267 :rule aci_norm :args ((= @t4463 @t2289))) % 1.61/1.81 (step @p3268 :rule cong :premises (@p3267) :args (@t4464)) % 1.61/1.81 (step @p3269 :rule quant-merge-prenex :args ((= (forall @t1141 @t4466) @t4464))) % 1.61/1.81 (step @p3270 :rule alpha_equiv :args (@t4467 (@list @t2283 @t2284) (@list @t1131 @t4468))) % 1.61/1.81 (step @p3271 :rule nary_cong :premises (@p2143 @p3270) :args (@t4469)) % 1.61/1.81 (step @p3272 :rule quant-miniscope-or :args ((= @t4466 @t4469))) % 1.61/1.81 (step @p3273 :rule trans :premises (@p3272 @p3271)) % 1.61/1.81 (step @p3274 :rule symm :premises (@p3273)) % 1.61/1.81 (step @p3275 :rule cong :premises (@p3274) :args ((forall @t1141 (or @t2184 @t4475)))) % 1.61/1.81 (step @p3276 :rule trans :premises (@p3275 @p3269)) % 1.61/1.81 (step @p3277 :rule trans :premises (@p3276 @p3268)) % 1.61/1.81 (step @p3278 :rule refl :args (@t4475)) % 1.61/1.81 (step @p3279 :rule nary_cong :premises (@p2169 @p3278) :args (@t4476)) % 1.61/1.81 (step @p3280 :rule cong :premises (@p3279) :args ((forall @t1141 @t4476))) % 1.61/1.81 (step @p3281 :rule trans :premises (@p3280 @p3277)) % 1.61/1.81 (step @p3282 :rule bool-impl-elim :args (@t1139 @t4475)) % 1.61/1.81 (step @p3283 :rule cong :premises (@p3282) :args ((forall @t1141 (=> @t1139 @t4475)))) % 1.61/1.81 (step @p3284 :rule trans :premises (@p3283 @p3281)) % 1.61/1.81 (step @p3285 :rule aci_norm :args ((= @t4478 @t4473))) % 1.61/1.81 (step @p3286 :rule cong :premises (@p3285) :args (@t4479)) % 1.61/1.81 (step @p3287 :rule quant-merge-prenex :args ((= (forall @t1137 @t4481) @t4479))) % 1.61/1.81 (step @p3288 :rule alpha_equiv :args (@t4482 (@list @t4468) @t3992)) % 1.61/1.81 (step @p3289 :rule nary_cong :premises (@p2340 @p3288) :args (@t4483)) % 1.61/1.81 (step @p3290 :rule quant-miniscope-or :args ((= @t4481 @t4483))) % 1.61/1.81 (step @p3291 :rule trans :premises (@p3290 @p3289)) % 1.61/1.81 (step @p3292 :rule symm :premises (@p3291)) % 1.61/1.81 (step @p3293 :rule cong :premises (@p3292) :args ((forall @t1137 (or @t4086 @t4485)))) % 1.61/1.81 (step @p3294 :rule trans :premises (@p3293 @p3287)) % 1.61/1.81 (step @p3295 :rule trans :premises (@p3294 @p3286)) % 1.61/1.81 (step @p3296 :rule refl :args (@t4485)) % 1.61/1.81 (step @p3297 :rule nary_cong :premises (@p2232 @p3296) :args (@t4486)) % 1.61/1.81 (step @p3298 :rule cong :premises (@p3297) :args ((forall @t1137 @t4486))) % 1.61/1.81 (step @p3299 :rule trans :premises (@p3298 @p3295)) % 1.61/1.81 (step @p3300 :rule bool-impl-elim :args (@t1136 @t4485)) % 1.61/1.81 (step @p3301 :rule cong :premises (@p3300) :args ((forall @t1137 (=> @t1136 @t4485)))) % 1.61/1.81 (step @p3302 :rule trans :premises (@p3301 @p3299)) % 1.61/1.81 (step @p3303 :rule cong :premises (@p3150) :args (@t4487)) % 1.61/1.81 (step @p3304 :rule nary_cong :premises (@p883 @p3303 @p3160) :args (@t4488)) % 1.61/1.81 (step @p3305 :rule cong :premises (@p3304) :args ((forall @t9 @t4488))) % 1.61/1.81 (step @p3306 :rule aci_norm :args ((= (or @t197 (or @t4487 @t1457)) @t4488))) % 1.61/1.81 (step @p3307 :rule bool-impl-elim :args (@t1387 @t1457)) % 1.61/1.81 (step @p3308 :rule nary_cong :premises (@p3166 @p3307) :args ((or @t197 @t1458))) % 1.61/1.81 (step @p3309 :rule trans :premises (@p3308 @p3306)) % 1.61/1.81 (step @p3310 :rule bool-impl-elim :args (@t7 @t1458)) % 1.61/1.81 (step @p3311 :rule trans :premises (@p3310 @p3309)) % 1.61/1.81 (step @p3312 :rule cong :premises (@p3311) :args (@t1459)) % 1.61/1.81 (step @p3313 :rule trans :premises (@p3312 @p3305)) % 1.61/1.81 (step @p3314 :rule cong :premises (@p2423 @p3313) :args (@t1460)) % 1.61/1.81 (step @p3315 :rule cong :premises (@p3314) :args (@t1461)) % 1.61/1.81 (step @p3316 :rule trans :premises (@p3315 @p3302)) % 1.61/1.81 (step @p3317 :rule cong :premises (@p2238 @p3316) :args (@t1462)) % 1.61/1.81 (step @p3318 :rule cong :premises (@p3317) :args (@t1463)) % 1.61/1.81 (step @p3319 :rule trans :premises (@p3318 @p3284)) % 1.61/1.81 (step @p3320 :rule refl :args (tptp.demorgan2a)) % 1.61/1.81 (step @p3321 :rule cong :premises (@p3320 @p3319) :args (@t1464)) % 1.61/1.81 (step @p3322 :rule eq_resolve :premises (@p271 @p3321)) % 1.61/1.81 (step @p3323 :rule cong :premises (@p3322 @p3266) :args (@t4489)) % 1.61/1.81 (step @p3324 :rule aci_norm :args ((= @t4491 @t2294))) % 1.61/1.81 (step @p3325 :rule cong :premises (@p3324) :args (@t4492)) % 1.61/1.81 (step @p3326 :rule quant-merge-prenex :args ((= (forall @t1141 @t4494) @t4492))) % 1.61/1.81 (step @p3327 :rule alpha_equiv :args (@t4495 (@list @t2291) @t4080)) % 1.61/1.81 (step @p3328 :rule nary_cong :premises (@p2143 @p3327) :args (@t4496)) % 1.61/1.81 (step @p3329 :rule quant-miniscope-or :args ((= @t4494 @t4496))) % 1.61/1.81 (step @p3330 :rule trans :premises (@p3329 @p3328)) % 1.61/1.81 (step @p3331 :rule symm :premises (@p3330)) % 1.61/1.81 (step @p3332 :rule cong :premises (@p3331) :args ((forall @t1141 (or @t2184 @t4498)))) % 1.61/1.81 (step @p3333 :rule trans :premises (@p3332 @p3326)) % 1.61/1.81 (step @p3334 :rule trans :premises (@p3333 @p3325)) % 1.61/1.81 (step @p3335 :rule refl :args (@t4498)) % 1.61/1.81 (step @p3336 :rule nary_cong :premises (@p2169 @p3335) :args (@t4499)) % 1.61/1.81 (step @p3337 :rule cong :premises (@p3336) :args ((forall @t1141 @t4499))) % 1.61/1.81 (step @p3338 :rule trans :premises (@p3337 @p3334)) % 1.61/1.81 (step @p3339 :rule bool-impl-elim :args (@t1139 @t4498)) % 1.61/1.81 (step @p3340 :rule cong :premises (@p3339) :args ((forall @t1141 (=> @t1139 @t4498)))) % 1.61/1.81 (step @p3341 :rule trans :premises (@p3340 @p3338)) % 1.61/1.81 (step @p3342 :rule refl :args ((tptp.binunion @t1162 @t1234))) % 1.61/1.81 (step @p3343 :rule cong :premises (@p2178 @p2280) :args (@t4497)) % 1.61/1.81 (step @p3344 :rule trans :premises (@p3343 @p3342)) % 1.61/1.81 (step @p3345 :rule ho_cong :premises (@p2502 @p2178)) % 1.61/1.81 (step @p3346 :rule ho_cong :premises (@p3345 @p2280)) % 1.61/1.81 (step @p3347 :rule cong :premises (@p3346 @p3344) :args ((= (_ (_ tptp.binunion @t2177) @t4101) @t4497))) % 1.61/1.81 (step @p3348 :rule symm :premises (@p3347)) % 1.61/1.81 (step @p3349 :rule refl :args (@t1435)) % 1.61/1.81 (step @p3350 :rule eq_resolve :premises (@p3349 @p3348)) % 1.61/1.81 (step @p3351 :rule ho_cong :premises (@p2502 @p2202)) % 1.61/1.81 (step @p3352 :rule ho_cong :premises (@p3351 @p2292)) % 1.61/1.81 (step @p3353 :rule trans :premises (@p3352 @p3350)) % 1.61/1.81 (step @p3354 :rule cong :premises (@p2644 @p3353) :args (@t1451)) % 1.61/1.81 (step @p3355 :rule nary_cong :premises (@p2232 @p3354) :args (@t4500)) % 1.61/1.81 (step @p3356 :rule cong :premises (@p3355) :args ((forall @t1137 @t4500))) % 1.61/1.81 (step @p3357 :rule bool-impl-elim :args (@t1136 @t1451)) % 1.61/1.81 (step @p3358 :rule cong :premises (@p3357) :args (@t1452)) % 1.61/1.81 (step @p3359 :rule trans :premises (@p3358 @p3356)) % 1.61/1.81 (step @p3360 :rule cong :premises (@p2238 @p3359) :args (@t1453)) % 1.61/1.81 (step @p3361 :rule cong :premises (@p3360) :args (@t1454)) % 1.61/1.81 (step @p3362 :rule trans :premises (@p3361 @p3341)) % 1.61/1.81 (step @p3363 :rule refl :args (tptp.demorgan1)) % 1.61/1.81 (step @p3364 :rule cong :premises (@p3363 @p3362) :args (@t1455)) % 1.61/1.81 (step @p3365 :rule eq_resolve :premises (@p270 @p3364)) % 1.61/1.81 (step @p3366 :rule cong :premises (@p3365 @p3323) :args (@t4501)) % 1.61/1.81 (step @p3367 :rule aci_norm :args ((= @t4503 @t2302))) % 1.61/1.81 (step @p3368 :rule cong :premises (@p3367) :args (@t4504)) % 1.61/1.81 (step @p3369 :rule quant-merge-prenex :args ((= (forall @t1141 @t4506) @t4504))) % 1.61/1.81 (step @p3370 :rule alpha_equiv :args (@t4507 (@list @t2296 @t2297) (@list @t1131 @t4508))) % 1.61/1.81 (step @p3371 :rule nary_cong :premises (@p2143 @p3370) :args (@t4509)) % 1.61/1.81 (step @p3372 :rule quant-miniscope-or :args ((= @t4506 @t4509))) % 1.61/1.81 (step @p3373 :rule trans :premises (@p3372 @p3371)) % 1.61/1.81 (step @p3374 :rule symm :premises (@p3373)) % 1.61/1.81 (step @p3375 :rule cong :premises (@p3374) :args ((forall @t1141 (or @t2184 @t4515)))) % 1.61/1.81 (step @p3376 :rule trans :premises (@p3375 @p3369)) % 1.61/1.81 (step @p3377 :rule trans :premises (@p3376 @p3368)) % 1.61/1.81 (step @p3378 :rule refl :args (@t4515)) % 1.61/1.81 (step @p3379 :rule nary_cong :premises (@p2169 @p3378) :args (@t4516)) % 1.61/1.81 (step @p3380 :rule cong :premises (@p3379) :args ((forall @t1141 @t4516))) % 1.61/1.81 (step @p3381 :rule trans :premises (@p3380 @p3377)) % 1.61/1.81 (step @p3382 :rule bool-impl-elim :args (@t1139 @t4515)) % 1.61/1.81 (step @p3383 :rule cong :premises (@p3382) :args ((forall @t1141 (=> @t1139 @t4515)))) % 1.61/1.81 (step @p3384 :rule trans :premises (@p3383 @p3381)) % 1.61/1.81 (step @p3385 :rule aci_norm :args ((= @t4518 @t4513))) % 1.61/1.81 (step @p3386 :rule cong :premises (@p3385) :args (@t4519)) % 1.61/1.81 (step @p3387 :rule quant-merge-prenex :args ((= (forall @t1137 @t4521) @t4519))) % 1.61/1.81 (step @p3388 :rule alpha_equiv :args (@t4522 (@list @t4508) @t3992)) % 1.61/1.81 (step @p3389 :rule nary_cong :premises (@p2340 @p3388) :args (@t4523)) % 1.61/1.81 (step @p3390 :rule quant-miniscope-or :args ((= @t4521 @t4523))) % 1.61/1.81 (step @p3391 :rule trans :premises (@p3390 @p3389)) % 1.61/1.81 (step @p3392 :rule symm :premises (@p3391)) % 1.61/1.81 (step @p3393 :rule cong :premises (@p3392) :args ((forall @t1137 (or @t4086 @t4526)))) % 1.61/1.81 (step @p3394 :rule trans :premises (@p3393 @p3387)) % 1.61/1.81 (step @p3395 :rule trans :premises (@p3394 @p3386)) % 1.61/1.81 (step @p3396 :rule refl :args (@t4526)) % 1.61/1.81 (step @p3397 :rule nary_cong :premises (@p2232 @p3396) :args (@t4527)) % 1.61/1.81 (step @p3398 :rule cong :premises (@p3397) :args ((forall @t1137 @t4527))) % 1.61/1.81 (step @p3399 :rule trans :premises (@p3398 @p3395)) % 1.61/1.81 (step @p3400 :rule bool-impl-elim :args (@t1136 @t4526)) % 1.61/1.81 (step @p3401 :rule cong :premises (@p3400) :args ((forall @t1137 (=> @t1136 @t4526)))) % 1.61/1.81 (step @p3402 :rule trans :premises (@p3401 @p3399)) % 1.61/1.81 (step @p3403 :rule refl :args ((tptp.in @t4 @t1290))) % 1.61/1.81 (step @p3404 :rule cong :premises (@p3047 @p2622) :args (@t4524)) % 1.61/1.81 (step @p3405 :rule trans :premises (@p3404 @p3403)) % 1.61/1.81 (step @p3406 :rule ho_cong :premises (@p3050 @p2622)) % 1.61/1.81 (step @p3407 :rule cong :premises (@p3406 @p3405) :args ((= (_ @t5 @t4205) @t4524))) % 1.61/1.81 (step @p3408 :rule symm :premises (@p3407)) % 1.61/1.81 (step @p3409 :rule refl :args (@t1291)) % 1.61/1.81 (step @p3410 :rule eq_resolve :premises (@p3409 @p3408)) % 1.61/1.81 (step @p3411 :rule ho_cong :premises (@p3050 @p2644)) % 1.61/1.81 (step @p3412 :rule trans :premises (@p3411 @p3410)) % 1.61/1.81 (step @p3413 :rule refl :args ((tptp.in @t4 @t1435))) % 1.61/1.81 (step @p3414 :rule cong :premises (@p3047 @p3344) :args (@t4525)) % 1.61/1.81 (step @p3415 :rule trans :premises (@p3414 @p3413)) % 1.61/1.81 (step @p3416 :rule ho_cong :premises (@p3050 @p3344)) % 1.61/1.81 (step @p3417 :rule cong :premises (@p3416 @p3415) :args ((= (_ @t5 @t4497) @t4525))) % 1.61/1.81 (step @p3418 :rule symm :premises (@p3417)) % 1.61/1.81 (step @p3419 :rule refl :args (@t1436)) % 1.61/1.81 (step @p3420 :rule eq_resolve :premises (@p3419 @p3418)) % 1.61/1.81 (step @p3421 :rule ho_cong :premises (@p3050 @p3353)) % 1.61/1.81 (step @p3422 :rule trans :premises (@p3421 @p3420)) % 1.61/1.81 (step @p3423 :rule cong :premises (@p3422) :args (@t4528)) % 1.61/1.81 (step @p3424 :rule nary_cong :premises (@p883 @p3423 @p3412) :args (@t4529)) % 1.61/1.81 (step @p3425 :rule cong :premises (@p3424) :args ((forall @t9 @t4529))) % 1.61/1.81 (step @p3426 :rule aci_norm :args ((= (or @t197 (or @t4528 @t1291)) @t4529))) % 1.61/1.81 (step @p3427 :rule bool-impl-elim :args (@t1436 @t1291)) % 1.61/1.81 (step @p3428 :rule nary_cong :premises (@p3166 @p3427) :args ((or @t197 @t1444))) % 1.61/1.81 (step @p3429 :rule trans :premises (@p3428 @p3426)) % 1.61/1.81 (step @p3430 :rule bool-impl-elim :args (@t7 @t1444)) % 1.61/1.81 (step @p3431 :rule trans :premises (@p3430 @p3429)) % 1.61/1.81 (step @p3432 :rule cong :premises (@p3431) :args (@t1445)) % 1.61/1.81 (step @p3433 :rule trans :premises (@p3432 @p3425)) % 1.61/1.81 (step @p3434 :rule cong :premises (@p2423 @p3433) :args (@t1446)) % 1.61/1.81 (step @p3435 :rule cong :premises (@p3434) :args (@t1447)) % 1.61/1.81 (step @p3436 :rule trans :premises (@p3435 @p3402)) % 1.61/1.81 (step @p3437 :rule cong :premises (@p2238 @p3436) :args (@t1448)) % 1.61/1.81 (step @p3438 :rule cong :premises (@p3437) :args (@t1449)) % 1.61/1.81 (step @p3439 :rule trans :premises (@p3438 @p3384)) % 1.61/1.81 (step @p3440 :rule refl :args (tptp.demorgan1b)) % 1.61/1.81 (step @p3441 :rule cong :premises (@p3440 @p3439) :args (@t1450)) % 1.61/1.81 (step @p3442 :rule eq_resolve :premises (@p269 @p3441)) % 1.61/1.81 (step @p3443 :rule cong :premises (@p3442 @p3366) :args (@t4530)) % 1.61/1.81 (step @p3444 :rule aci_norm :args ((= @t4532 @t2310))) % 1.61/1.81 (step @p3445 :rule cong :premises (@p3444) :args (@t4533)) % 1.61/1.81 (step @p3446 :rule quant-merge-prenex :args ((= (forall @t1141 @t4535) @t4533))) % 1.61/1.81 (step @p3447 :rule alpha_equiv :args (@t4536 (@list @t2304 @t2305) (@list @t1131 @t4537))) % 1.61/1.81 (step @p3448 :rule nary_cong :premises (@p2143 @p3447) :args (@t4538)) % 1.61/1.81 (step @p3449 :rule quant-miniscope-or :args ((= @t4535 @t4538))) % 1.61/1.81 (step @p3450 :rule trans :premises (@p3449 @p3448)) % 1.61/1.81 (step @p3451 :rule symm :premises (@p3450)) % 1.61/1.81 (step @p3452 :rule cong :premises (@p3451) :args ((forall @t1141 (or @t2184 @t4544)))) % 1.61/1.81 (step @p3453 :rule trans :premises (@p3452 @p3446)) % 1.61/1.81 (step @p3454 :rule trans :premises (@p3453 @p3445)) % 1.61/1.81 (step @p3455 :rule refl :args (@t4544)) % 1.61/1.81 (step @p3456 :rule nary_cong :premises (@p2169 @p3455) :args (@t4545)) % 1.61/1.81 (step @p3457 :rule cong :premises (@p3456) :args ((forall @t1141 @t4545))) % 1.61/1.81 (step @p3458 :rule trans :premises (@p3457 @p3454)) % 1.61/1.81 (step @p3459 :rule bool-impl-elim :args (@t1139 @t4544)) % 1.61/1.81 (step @p3460 :rule cong :premises (@p3459) :args ((forall @t1141 (=> @t1139 @t4544)))) % 1.61/1.81 (step @p3461 :rule trans :premises (@p3460 @p3458)) % 1.61/1.81 (step @p3462 :rule aci_norm :args ((= @t4547 @t4542))) % 1.61/1.81 (step @p3463 :rule cong :premises (@p3462) :args (@t4548)) % 1.61/1.81 (step @p3464 :rule quant-merge-prenex :args ((= (forall @t1137 @t4550) @t4548))) % 1.61/1.81 (step @p3465 :rule alpha_equiv :args (@t4551 (@list @t4537) @t3992)) % 1.61/1.81 (step @p3466 :rule nary_cong :premises (@p2340 @p3465) :args (@t4552)) % 1.61/1.81 (step @p3467 :rule quant-miniscope-or :args ((= @t4550 @t4552))) % 1.61/1.81 (step @p3468 :rule trans :premises (@p3467 @p3466)) % 1.61/1.81 (step @p3469 :rule symm :premises (@p3468)) % 1.61/1.81 (step @p3470 :rule cong :premises (@p3469) :args ((forall @t1137 (or @t4086 @t4553)))) % 1.61/1.81 (step @p3471 :rule trans :premises (@p3470 @p3464)) % 1.61/1.81 (step @p3472 :rule trans :premises (@p3471 @p3463)) % 1.61/1.81 (step @p3473 :rule refl :args (@t4553)) % 1.61/1.81 (step @p3474 :rule nary_cong :premises (@p2232 @p3473) :args (@t4554)) % 1.61/1.81 (step @p3475 :rule cong :premises (@p3474) :args ((forall @t1137 @t4554))) % 1.61/1.81 (step @p3476 :rule trans :premises (@p3475 @p3472)) % 1.61/1.81 (step @p3477 :rule bool-impl-elim :args (@t1136 @t4553)) % 1.61/1.81 (step @p3478 :rule cong :premises (@p3477) :args ((forall @t1137 (=> @t1136 @t4553)))) % 1.61/1.81 (step @p3479 :rule trans :premises (@p3478 @p3476)) % 1.61/1.81 (step @p3480 :rule cong :premises (@p3412) :args (@t4555)) % 1.61/1.81 (step @p3481 :rule nary_cong :premises (@p883 @p3480 @p3422) :args (@t4556)) % 1.61/1.81 (step @p3482 :rule cong :premises (@p3481) :args ((forall @t9 @t4556))) % 1.61/1.81 (step @p3483 :rule aci_norm :args ((= (or @t197 (or @t4555 @t1436)) @t4556))) % 1.61/1.81 (step @p3484 :rule bool-impl-elim :args (@t1291 @t1436)) % 1.61/1.81 (step @p3485 :rule nary_cong :premises (@p3166 @p3484) :args ((or @t197 @t1437))) % 1.61/1.81 (step @p3486 :rule trans :premises (@p3485 @p3483)) % 1.61/1.81 (step @p3487 :rule bool-impl-elim :args (@t7 @t1437)) % 1.61/1.81 (step @p3488 :rule trans :premises (@p3487 @p3486)) % 1.61/1.81 (step @p3489 :rule cong :premises (@p3488) :args (@t1438)) % 1.61/1.81 (step @p3490 :rule trans :premises (@p3489 @p3482)) % 1.61/1.81 (step @p3491 :rule cong :premises (@p2423 @p3490) :args (@t1439)) % 1.61/1.81 (step @p3492 :rule cong :premises (@p3491) :args (@t1440)) % 1.61/1.81 (step @p3493 :rule trans :premises (@p3492 @p3479)) % 1.61/1.81 (step @p3494 :rule cong :premises (@p2238 @p3493) :args (@t1441)) % 1.61/1.81 (step @p3495 :rule cong :premises (@p3494) :args (@t1442)) % 1.61/1.81 (step @p3496 :rule trans :premises (@p3495 @p3461)) % 1.61/1.81 (step @p3497 :rule refl :args (tptp.demorgan1a)) % 1.61/1.81 (step @p3498 :rule cong :premises (@p3497 @p3496) :args (@t1443)) % 1.61/1.81 (step @p3499 :rule eq_resolve :premises (@p268 @p3498)) % 1.61/1.81 (step @p3500 :rule cong :premises (@p3499 @p3443) :args (@t4557)) % 1.61/1.81 (step @p3501 :rule aci_norm :args ((= @t4559 @t2318))) % 1.61/1.81 (step @p3502 :rule cong :premises (@p3501) :args (@t4560)) % 1.61/1.81 (step @p3503 :rule quant-merge-prenex :args ((= (forall @t1141 @t4562) @t4560))) % 1.61/1.81 (step @p3504 :rule alpha_equiv :args (@t4563 (@list @t2312 @t2313) (@list @t1131 @t4564))) % 1.61/1.81 (step @p3505 :rule nary_cong :premises (@p2143 @p3504) :args (@t4565)) % 1.61/1.81 (step @p3506 :rule quant-miniscope-or :args ((= @t4562 @t4565))) % 1.61/1.81 (step @p3507 :rule trans :premises (@p3506 @p3505)) % 1.61/1.81 (step @p3508 :rule symm :premises (@p3507)) % 1.61/1.81 (step @p3509 :rule cong :premises (@p3508) :args ((forall @t1141 (or @t2184 @t4571)))) % 1.61/1.81 (step @p3510 :rule trans :premises (@p3509 @p3503)) % 1.61/1.81 (step @p3511 :rule trans :premises (@p3510 @p3502)) % 1.61/1.81 (step @p3512 :rule refl :args (@t4571)) % 1.61/1.81 (step @p3513 :rule nary_cong :premises (@p2169 @p3512) :args (@t4572)) % 1.61/1.81 (step @p3514 :rule cong :premises (@p3513) :args ((forall @t1141 @t4572))) % 1.61/1.81 (step @p3515 :rule trans :premises (@p3514 @p3511)) % 1.61/1.81 (step @p3516 :rule bool-impl-elim :args (@t1139 @t4571)) % 1.61/1.81 (step @p3517 :rule cong :premises (@p3516) :args ((forall @t1141 (=> @t1139 @t4571)))) % 1.61/1.81 (step @p3518 :rule trans :premises (@p3517 @p3515)) % 1.61/1.81 (step @p3519 :rule aci_norm :args ((= @t4574 @t4569))) % 1.61/1.81 (step @p3520 :rule cong :premises (@p3519) :args (@t4575)) % 1.61/1.81 (step @p3521 :rule quant-merge-prenex :args ((= (forall @t1137 @t4577) @t4575))) % 1.61/1.81 (step @p3522 :rule alpha_equiv :args (@t4578 (@list @t4564) @t3992)) % 1.61/1.81 (step @p3523 :rule nary_cong :premises (@p2340 @p3522) :args (@t4579)) % 1.61/1.81 (step @p3524 :rule quant-miniscope-or :args ((= @t4577 @t4579))) % 1.61/1.81 (step @p3525 :rule trans :premises (@p3524 @p3523)) % 1.61/1.81 (step @p3526 :rule symm :premises (@p3525)) % 1.61/1.81 (step @p3527 :rule cong :premises (@p3526) :args ((forall @t1137 (or @t4086 @t4580)))) % 1.61/1.81 (step @p3528 :rule trans :premises (@p3527 @p3521)) % 1.61/1.81 (step @p3529 :rule trans :premises (@p3528 @p3520)) % 1.61/1.81 (step @p3530 :rule refl :args (@t4580)) % 1.61/1.81 (step @p3531 :rule nary_cong :premises (@p2232 @p3530) :args (@t4581)) % 1.61/1.81 (step @p3532 :rule cong :premises (@p3531) :args ((forall @t1137 @t4581))) % 1.61/1.81 (step @p3533 :rule trans :premises (@p3532 @p3529)) % 1.61/1.81 (step @p3534 :rule bool-impl-elim :args (@t1136 @t4580)) % 1.61/1.81 (step @p3535 :rule cong :premises (@p3534) :args ((forall @t1137 (=> @t1136 @t4580)))) % 1.61/1.81 (step @p3536 :rule trans :premises (@p3535 @p3533)) % 1.61/1.81 (step @p3537 :rule nary_cong :premises (@p883 @p3303 @p3228) :args (@t4582)) % 1.61/1.81 (step @p3538 :rule cong :premises (@p3537) :args ((forall @t9 @t4582))) % 1.61/1.81 (step @p3539 :rule aci_norm :args ((= (or @t197 (or @t4487 @t1427)) @t4582))) % 1.61/1.81 (step @p3540 :rule bool-impl-elim :args (@t1387 @t1427)) % 1.61/1.81 (step @p3541 :rule nary_cong :premises (@p3166 @p3540) :args ((or @t197 @t1428))) % 1.61/1.81 (step @p3542 :rule trans :premises (@p3541 @p3539)) % 1.61/1.81 (step @p3543 :rule bool-impl-elim :args (@t7 @t1428)) % 1.61/1.81 (step @p3544 :rule trans :premises (@p3543 @p3542)) % 1.61/1.81 (step @p3545 :rule cong :premises (@p3544) :args (@t1429)) % 1.61/1.81 (step @p3546 :rule trans :premises (@p3545 @p3538)) % 1.61/1.81 (step @p3547 :rule cong :premises (@p2423 @p3546) :args (@t1430)) % 1.61/1.81 (step @p3548 :rule cong :premises (@p3547) :args (@t1431)) % 1.61/1.81 (step @p3549 :rule trans :premises (@p3548 @p3536)) % 1.61/1.81 (step @p3550 :rule cong :premises (@p2238 @p3549) :args (@t1432)) % 1.61/1.81 (step @p3551 :rule cong :premises (@p3550) :args (@t1433)) % 1.61/1.81 (step @p3552 :rule trans :premises (@p3551 @p3518)) % 1.61/1.81 (step @p3553 :rule refl :args (tptp.demorgan2a2)) % 1.61/1.81 (step @p3554 :rule cong :premises (@p3553 @p3552) :args (@t1434)) % 1.61/1.81 (step @p3555 :rule eq_resolve :premises (@p267 @p3554)) % 1.61/1.81 (step @p3556 :rule cong :premises (@p3555 @p3500) :args (@t4583)) % 1.61/1.81 (step @p3557 :rule refl :args (tptp.complementUnionInPowersetComplement)) % 1.61/1.81 (step @p3558 :rule cong :premises (@p3557 @p2241) :args (@t1426)) % 1.61/1.81 (step @p3559 :rule eq_resolve :premises (@p266 @p3558)) % 1.61/1.81 (step @p3560 :rule cong :premises (@p3559 @p3556) :args (@t4584)) % 1.61/1.81 (step @p3561 :rule eq-symm :args (@t2328 tptp.demorgan2a1)) % 1.61/1.81 (step @p3562 :rule refl :args (tptp.demorgan2a1)) % 1.61/1.81 (step @p3563 :rule aci_norm :args ((= @t4586 @t2326))) % 1.61/1.81 (step @p3564 :rule cong :premises (@p3563) :args (@t4587)) % 1.61/1.81 (step @p3565 :rule quant-merge-prenex :args ((= (forall @t1141 @t4589) @t4587))) % 1.61/1.81 (step @p3566 :rule alpha_equiv :args (@t4590 (@list @t2322 @t2320) (@list @t1131 @t4591))) % 1.61/1.81 (step @p3567 :rule nary_cong :premises (@p2143 @p3566) :args (@t4592)) % 1.61/1.81 (step @p3568 :rule quant-miniscope-or :args ((= @t4589 @t4592))) % 1.61/1.81 (step @p3569 :rule trans :premises (@p3568 @p3567)) % 1.61/1.81 (step @p3570 :rule symm :premises (@p3569)) % 1.61/1.81 (step @p3571 :rule cong :premises (@p3570) :args ((forall @t1141 (or @t2184 @t4598)))) % 1.61/1.81 (step @p3572 :rule trans :premises (@p3571 @p3565)) % 1.61/1.81 (step @p3573 :rule trans :premises (@p3572 @p3564)) % 1.61/1.81 (step @p3574 :rule refl :args (@t4598)) % 1.61/1.81 (step @p3575 :rule nary_cong :premises (@p2169 @p3574) :args (@t4599)) % 1.61/1.81 (step @p3576 :rule cong :premises (@p3575) :args ((forall @t1141 @t4599))) % 1.61/1.81 (step @p3577 :rule trans :premises (@p3576 @p3573)) % 1.61/1.81 (step @p3578 :rule bool-impl-elim :args (@t1139 @t4598)) % 1.61/1.81 (step @p3579 :rule cong :premises (@p3578) :args ((forall @t1141 (=> @t1139 @t4598)))) % 1.61/1.81 (step @p3580 :rule trans :premises (@p3579 @p3577)) % 1.61/1.81 (step @p3581 :rule aci_norm :args ((= @t4601 @t4596))) % 1.61/1.81 (step @p3582 :rule cong :premises (@p3581) :args (@t4602)) % 1.61/1.81 (step @p3583 :rule quant-merge-prenex :args ((= (forall @t1137 @t4604) @t4602))) % 1.61/1.81 (step @p3584 :rule alpha_equiv :args (@t4605 (@list @t4591) @t3992)) % 1.61/1.81 (step @p3585 :rule nary_cong :premises (@p2340 @p3584) :args (@t4606)) % 1.61/1.81 (step @p3586 :rule quant-miniscope-or :args ((= @t4604 @t4606))) % 1.61/1.81 (step @p3587 :rule trans :premises (@p3586 @p3585)) % 1.61/1.81 (step @p3588 :rule symm :premises (@p3587)) % 1.61/1.81 (step @p3589 :rule cong :premises (@p3588) :args ((forall @t1137 (or @t4086 @t4607)))) % 1.61/1.81 (step @p3590 :rule trans :premises (@p3589 @p3583)) % 1.61/1.81 (step @p3591 :rule trans :premises (@p3590 @p3582)) % 1.61/1.81 (step @p3592 :rule refl :args (@t4607)) % 1.61/1.81 (step @p3593 :rule nary_cong :premises (@p2232 @p3592) :args (@t4608)) % 1.61/1.81 (step @p3594 :rule cong :premises (@p3593) :args ((forall @t1137 @t4608))) % 1.61/1.81 (step @p3595 :rule trans :premises (@p3594 @p3591)) % 1.61/1.81 (step @p3596 :rule bool-impl-elim :args (@t1136 @t4607)) % 1.61/1.81 (step @p3597 :rule cong :premises (@p3596) :args ((forall @t1137 (=> @t1136 @t4607)))) % 1.61/1.81 (step @p3598 :rule trans :premises (@p3597 @p3595)) % 1.61/1.81 (step @p3599 :rule nary_cong :premises (@p883 @p3303 @p3239) :args (@t4609)) % 1.61/1.81 (step @p3600 :rule cong :premises (@p3599) :args ((forall @t9 @t4609))) % 1.61/1.81 (step @p3601 :rule aci_norm :args ((= (or @t197 (or @t4487 @t1203)) @t4609))) % 1.61/1.81 (step @p3602 :rule bool-impl-elim :args (@t1387 @t1203)) % 1.61/1.81 (step @p3603 :rule nary_cong :premises (@p3166 @p3602) :args ((or @t197 @t1395))) % 1.61/1.81 (step @p3604 :rule trans :premises (@p3603 @p3601)) % 1.61/1.81 (step @p3605 :rule bool-impl-elim :args (@t7 @t1395)) % 1.61/1.81 (step @p3606 :rule trans :premises (@p3605 @p3604)) % 1.61/1.81 (step @p3607 :rule cong :premises (@p3606) :args (@t1396)) % 1.61/1.81 (step @p3608 :rule trans :premises (@p3607 @p3600)) % 1.61/1.81 (step @p3609 :rule cong :premises (@p2423 @p3608) :args (@t1397)) % 1.61/1.81 (step @p3610 :rule cong :premises (@p3609) :args (@t1398)) % 1.61/1.81 (step @p3611 :rule trans :premises (@p3610 @p3598)) % 1.61/1.81 (step @p3612 :rule cong :premises (@p2238 @p3611) :args (@t1399)) % 1.61/1.81 (step @p3613 :rule cong :premises (@p3612) :args (@t1400)) % 1.61/1.81 (step @p3614 :rule trans :premises (@p3613 @p3580)) % 1.61/1.81 (step @p3615 :rule cong :premises (@p3614 @p3562) :args ((= @t1400 tptp.demorgan2a1))) % 1.61/1.81 (step @p3616 :rule trans :premises (@p3615 @p3561)) % 1.61/1.81 (step @p3617 :rule eq-symm :args (tptp.demorgan2a1 @t1400)) % 1.61/1.81 (step @p3618 :rule trans :premises (@p3617 @p3616)) % 1.61/1.81 (step @p3619 :rule eq_resolve :premises (@p265 @p3618)) % 1.61/1.81 (step @p3620 :rule cong :premises (@p3619 @p3560) :args (@t4610)) % 1.61/1.81 (step @p3621 :rule aci_norm :args ((= @t4612 @t2336))) % 1.61/1.81 (step @p3622 :rule cong :premises (@p3621) :args (@t4613)) % 1.61/1.81 (step @p3623 :rule quant-merge-prenex :args ((= (forall @t1141 @t4615) @t4613))) % 1.61/1.81 (step @p3624 :rule alpha_equiv :args (@t4616 (@list @t2329 @t2330) (@list @t1131 @t4617))) % 1.61/1.81 (step @p3625 :rule nary_cong :premises (@p2143 @p3624) :args (@t4618)) % 1.61/1.81 (step @p3626 :rule quant-miniscope-or :args ((= @t4615 @t4618))) % 1.61/1.81 (step @p3627 :rule trans :premises (@p3626 @p3625)) % 1.61/1.81 (step @p3628 :rule symm :premises (@p3627)) % 1.61/1.81 (step @p3629 :rule cong :premises (@p3628) :args ((forall @t1141 (or @t2184 @t4625)))) % 1.61/1.81 (step @p3630 :rule trans :premises (@p3629 @p3623)) % 1.61/1.81 (step @p3631 :rule trans :premises (@p3630 @p3622)) % 1.61/1.81 (step @p3632 :rule refl :args (@t4625)) % 1.61/1.81 (step @p3633 :rule nary_cong :premises (@p2169 @p3632) :args (@t4626)) % 1.61/1.81 (step @p3634 :rule cong :premises (@p3633) :args ((forall @t1141 @t4626))) % 1.61/1.81 (step @p3635 :rule trans :premises (@p3634 @p3631)) % 1.61/1.81 (step @p3636 :rule bool-impl-elim :args (@t1139 @t4625)) % 1.61/1.81 (step @p3637 :rule cong :premises (@p3636) :args ((forall @t1141 (=> @t1139 @t4625)))) % 1.61/1.81 (step @p3638 :rule trans :premises (@p3637 @p3635)) % 1.61/1.81 (step @p3639 :rule aci_norm :args ((= @t4628 @t4623))) % 1.61/1.81 (step @p3640 :rule cong :premises (@p3639) :args (@t4629)) % 1.61/1.81 (step @p3641 :rule quant-merge-prenex :args ((= (forall @t1137 @t4631) @t4629))) % 1.61/1.81 (step @p3642 :rule alpha_equiv :args (@t4632 (@list @t4617) @t3992)) % 1.61/1.81 (step @p3643 :rule nary_cong :premises (@p2340 @p3642) :args (@t4633)) % 1.61/1.81 (step @p3644 :rule quant-miniscope-or :args ((= @t4631 @t4633))) % 1.61/1.81 (step @p3645 :rule trans :premises (@p3644 @p3643)) % 1.61/1.81 (step @p3646 :rule symm :premises (@p3645)) % 1.61/1.81 (step @p3647 :rule cong :premises (@p3646) :args ((forall @t1137 (or @t4086 @t4637)))) % 1.61/1.81 (step @p3648 :rule trans :premises (@p3647 @p3641)) % 1.61/1.81 (step @p3649 :rule trans :premises (@p3648 @p3640)) % 1.61/1.81 (step @p3650 :rule refl :args (@t4637)) % 1.61/1.81 (step @p3651 :rule nary_cong :premises (@p2232 @p3650) :args (@t4638)) % 1.61/1.81 (step @p3652 :rule cong :premises (@p3651) :args ((forall @t1137 @t4638))) % 1.61/1.81 (step @p3653 :rule trans :premises (@p3652 @p3649)) % 1.61/1.81 (step @p3654 :rule bool-impl-elim :args (@t1136 @t4637)) % 1.61/1.81 (step @p3655 :rule cong :premises (@p3654) :args ((forall @t1137 (=> @t1136 @t4637)))) % 1.61/1.81 (step @p3656 :rule trans :premises (@p3655 @p3653)) % 1.61/1.81 (step @p3657 :rule refl :args ((tptp.in @t4 @t1145))) % 1.61/1.81 (step @p3658 :rule cong :premises (@p3047 @p2182) :args (@t4634)) % 1.61/1.81 (step @p3659 :rule trans :premises (@p3658 @p3657)) % 1.61/1.81 (step @p3660 :rule ho_cong :premises (@p3050 @p2182)) % 1.61/1.81 (step @p3661 :rule cong :premises (@p3660 @p3659) :args ((= (_ @t5 @t4082) @t4634))) % 1.61/1.81 (step @p3662 :rule symm :premises (@p3661)) % 1.61/1.81 (step @p3663 :rule refl :args (@t1325)) % 1.61/1.81 (step @p3664 :rule eq_resolve :premises (@p3663 @p3662)) % 1.61/1.81 (step @p3665 :rule ho_cong :premises (@p3050 @p2214)) % 1.61/1.81 (step @p3666 :rule trans :premises (@p3665 @p3664)) % 1.61/1.81 (step @p3667 :rule cong :premises (@p3666) :args (@t1326)) % 1.61/1.81 (step @p3668 :rule refl :args (@t4636)) % 1.61/1.81 (step @p3669 :rule refl :args (@t1168)) % 1.61/1.81 (step @p3670 :rule cong :premises (@p3669 @p3668) :args ((= @t1168 @t4636))) % 1.61/1.81 (step @p3671 :rule symm :premises (@p3670)) % 1.61/1.81 (step @p3672 :rule eq_resolve :premises (@p3669 @p3671)) % 1.61/1.81 (step @p3673 :rule refl :args (@t2515)) % 1.61/1.81 (step @p3674 :rule refl :args (@t696)) % 1.61/1.81 (step @p3675 :rule cong :premises (@p3674 @p3673) :args ((= @t696 @t2515))) % 1.61/1.81 (step @p3676 :rule symm :premises (@p3675)) % 1.61/1.81 (step @p3677 :rule eq_resolve :premises (@p3674 @p3676)) % 1.61/1.81 (step @p3678 :rule nary_cong :premises (@p883 @p3677 @p3672 @p3667) :args (@t4639)) % 1.61/1.81 (step @p3679 :rule cong :premises (@p3678) :args ((forall @t9 @t4639))) % 1.61/1.81 (step @p3680 :rule aci_norm :args ((= (or @t197 @t4640) @t4639))) % 1.61/1.81 (step @p3681 :rule aci_norm :args ((= (or @t696 (or @t1168 @t1326)) @t4640))) % 1.61/1.81 (step @p3682 :rule refl :args (@t1326)) % 1.61/1.81 (step @p3683 :rule bool-double-not-elim :args (@t1168)) % 1.61/1.81 (step @p3684 :rule nary_cong :premises (@p3683 @p3682) :args ((or @t4641 @t1326))) % 1.61/1.81 (step @p3685 :rule bool-impl-elim :args (@t1225 @t1326)) % 1.61/1.81 (step @p3686 :rule trans :premises (@p3685 @p3684)) % 1.61/1.81 (step @p3687 :rule nary_cong :premises (@p3674 @p3686) :args ((or @t696 @t1413))) % 1.61/1.81 (step @p3688 :rule trans :premises (@p3687 @p3681)) % 1.61/1.81 (step @p3689 :rule refl :args (@t1413)) % 1.61/1.81 (step @p3690 :rule bool-double-not-elim :args (@t696)) % 1.61/1.81 (step @p3691 :rule nary_cong :premises (@p3690 @p3689) :args ((or @t4642 @t1413))) % 1.61/1.81 (step @p3692 :rule bool-impl-elim :args (@t1217 @t1413)) % 1.61/1.81 (step @p3693 :rule trans :premises (@p3692 @p3691)) % 1.61/1.81 (step @p3694 :rule trans :premises (@p3693 @p3688)) % 1.61/1.81 (step @p3695 :rule nary_cong :premises (@p3166 @p3694) :args ((or @t197 @t1414))) % 1.61/1.81 (step @p3696 :rule trans :premises (@p3695 @p3680)) % 1.61/1.81 (step @p3697 :rule bool-impl-elim :args (@t7 @t1414)) % 1.61/1.81 (step @p3698 :rule trans :premises (@p3697 @p3696)) % 1.61/1.81 (step @p3699 :rule cong :premises (@p3698) :args (@t1415)) % 1.61/1.81 (step @p3700 :rule trans :premises (@p3699 @p3679)) % 1.61/1.81 (step @p3701 :rule cong :premises (@p2423 @p3700) :args (@t1416)) % 1.61/1.81 (step @p3702 :rule cong :premises (@p3701) :args (@t1417)) % 1.61/1.81 (step @p3703 :rule trans :premises (@p3702 @p3656)) % 1.61/1.81 (step @p3704 :rule cong :premises (@p2238 @p3703) :args (@t1418)) % 1.61/1.81 (step @p3705 :rule cong :premises (@p3704) :args (@t1419)) % 1.61/1.81 (step @p3706 :rule trans :premises (@p3705 @p3638)) % 1.61/1.81 (step @p3707 :rule refl :args (tptp.binunionTEcontra)) % 1.61/1.81 (step @p3708 :rule cong :premises (@p3707 @p3706) :args (@t1420)) % 1.61/1.81 (step @p3709 :rule eq_resolve :premises (@p264 @p3708)) % 1.61/1.81 (step @p3710 :rule cong :premises (@p3709 @p3620) :args (@t4643)) % 1.61/1.81 (step @p3711 :rule aci_norm :args ((= @t4645 @t2345))) % 1.61/1.81 (step @p3712 :rule cong :premises (@p3711) :args (@t4646)) % 1.61/1.81 (step @p3713 :rule quant-merge-prenex :args ((= (forall @t1141 @t4648) @t4646))) % 1.61/1.81 (step @p3714 :rule alpha_equiv :args (@t4649 (@list @t2338 @t2339) (@list @t1131 @t4650))) % 1.61/1.81 (step @p3715 :rule nary_cong :premises (@p2143 @p3714) :args (@t4651)) % 1.61/1.81 (step @p3716 :rule quant-miniscope-or :args ((= @t4648 @t4651))) % 1.61/1.81 (step @p3717 :rule trans :premises (@p3716 @p3715)) % 1.61/1.81 (step @p3718 :rule symm :premises (@p3717)) % 1.61/1.81 (step @p3719 :rule cong :premises (@p3718) :args ((forall @t1141 (or @t2184 @t4658)))) % 1.61/1.81 (step @p3720 :rule trans :premises (@p3719 @p3713)) % 1.61/1.81 (step @p3721 :rule trans :premises (@p3720 @p3712)) % 1.61/1.81 (step @p3722 :rule refl :args (@t4658)) % 1.61/1.81 (step @p3723 :rule nary_cong :premises (@p2169 @p3722) :args (@t4659)) % 1.61/1.81 (step @p3724 :rule cong :premises (@p3723) :args ((forall @t1141 @t4659))) % 1.61/1.81 (step @p3725 :rule trans :premises (@p3724 @p3721)) % 1.61/1.81 (step @p3726 :rule bool-impl-elim :args (@t1139 @t4658)) % 1.61/1.81 (step @p3727 :rule cong :premises (@p3726) :args ((forall @t1141 (=> @t1139 @t4658)))) % 1.61/1.81 (step @p3728 :rule trans :premises (@p3727 @p3725)) % 1.61/1.81 (step @p3729 :rule aci_norm :args ((= @t4661 @t4656))) % 1.61/1.81 (step @p3730 :rule cong :premises (@p3729) :args (@t4662)) % 1.61/1.81 (step @p3731 :rule quant-merge-prenex :args ((= (forall @t1137 @t4664) @t4662))) % 1.61/1.81 (step @p3732 :rule alpha_equiv :args (@t4665 (@list @t4650) @t3992)) % 1.61/1.81 (step @p3733 :rule nary_cong :premises (@p2340 @p3732) :args (@t4666)) % 1.61/1.81 (step @p3734 :rule quant-miniscope-or :args ((= @t4664 @t4666))) % 1.61/1.81 (step @p3735 :rule trans :premises (@p3734 @p3733)) % 1.61/1.81 (step @p3736 :rule symm :premises (@p3735)) % 1.61/1.81 (step @p3737 :rule cong :premises (@p3736) :args ((forall @t1137 (or @t4086 @t4667)))) % 1.61/1.81 (step @p3738 :rule trans :premises (@p3737 @p3731)) % 1.61/1.81 (step @p3739 :rule trans :premises (@p3738 @p3730)) % 1.61/1.81 (step @p3740 :rule refl :args (@t4667)) % 1.61/1.81 (step @p3741 :rule nary_cong :premises (@p2232 @p3740) :args (@t4668)) % 1.61/1.81 (step @p3742 :rule cong :premises (@p3741) :args ((forall @t1137 @t4668))) % 1.61/1.81 (step @p3743 :rule trans :premises (@p3742 @p3739)) % 1.61/1.81 (step @p3744 :rule bool-impl-elim :args (@t1136 @t4667)) % 1.61/1.81 (step @p3745 :rule cong :premises (@p3744) :args ((forall @t1137 (=> @t1136 @t4667)))) % 1.61/1.81 (step @p3746 :rule trans :premises (@p3745 @p3743)) % 1.61/1.81 (step @p3747 :rule aci_norm :args ((= (and @t4636 true) @t4636))) % 1.61/1.81 (step @p3748 :rule refl :args (@t4636)) % 1.61/1.81 (step @p3749 :rule nary_cong :premises (@p3748 @p1172) :args (@t4669)) % 1.61/1.81 (step @p3750 :rule trans :premises (@p3749 @p3747)) % 1.61/1.81 (step @p3751 :rule aci_norm :args ((= (and @t2515 true) @t2515))) % 1.61/1.81 (step @p3752 :rule refl :args (@t2515)) % 1.61/1.81 (step @p3753 :rule nary_cong :premises (@p3752 @p1172) :args (@t4670)) % 1.61/1.81 (step @p3754 :rule trans :premises (@p3753 @p3751)) % 1.61/1.81 (step @p3755 :rule refl :args (@t4635)) % 1.61/1.81 (step @p3756 :rule refl :args (@t2125)) % 1.61/1.81 (step @p3757 :rule nary_cong :premises (@p3756 @p3755 @p3754 @p3750) :args (@t4671)) % 1.61/1.81 (step @p3758 :rule aci_norm :args ((= @t4672 @t4671))) % 1.61/1.81 (step @p3759 :rule trans :premises (@p3758 @p3757)) % 1.61/1.81 (step @p3760 :rule cong :premises (@p3759) :args ((forall @t9 @t4672))) % 1.61/1.81 (step @p3761 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t2125 @t4635 @t4674 @t4673 @t173)) @t4672))) % 1.61/1.81 (step @p3762 :rule refl :args (@t4673)) % 1.61/1.81 (step @p3763 :rule refl :args (@t4674)) % 1.61/1.81 (step @p3764 :rule refl :args (@t4635)) % 1.61/1.81 (step @p3765 :rule nary_cong :premises (@p1185 @p869 @p3764 @p3763 @p3762 @p1178) :args (@t4675)) % 1.61/1.81 (step @p3766 :rule aci_norm :args ((= @t4676 @t4675))) % 1.61/1.81 (step @p3767 :rule trans :premises (@p3766 @p3765)) % 1.61/1.81 (step @p3768 :rule cong :premises (@p3767) :args (@t4677)) % 1.61/1.81 (step @p3769 :rule trans :premises (@p3768 @p3761)) % 1.61/1.81 (step @p3770 :rule cong :premises (@p3769) :args (@t4678)) % 1.61/1.81 (step @p3771 :rule quant-merge-prenex :args ((= @t4678 @t4680))) % 1.61/1.81 (step @p3772 :rule symm :premises (@p3771)) % 1.61/1.81 (step @p3773 :rule quant_var_reordering :args ((= (forall @t176 @t4676) @t4680))) % 1.61/1.81 (step @p3774 :rule trans :premises (@p3773 @p3772 @p3770)) % 1.61/1.81 (step @p3775 :rule trans :premises (@p3774 @p3760)) % 1.61/1.81 (step @p3776 :rule refl :args (@t1063)) % 1.61/1.81 (step @p3777 :rule nary_cong :premises (@p3672 @p3776) :args (@t4681)) % 1.61/1.81 (step @p3778 :rule nary_cong :premises (@p3677 @p3776) :args (@t4682)) % 1.61/1.81 (step @p3779 :rule nary_cong :premises (@p883 @p3667 @p3778 @p3777 @p1178) :args (@t4683)) % 1.61/1.81 (step @p3780 :rule cong :premises (@p3779) :args ((forall @t176 @t4683))) % 1.61/1.81 (step @p3781 :rule trans :premises (@p3780 @p3775)) % 1.61/1.81 (step @p3782 :rule aci_norm :args ((= (or @t197 @t4684) @t4683))) % 1.61/1.81 (step @p3783 :rule aci_norm :args ((= (or @t1326 @t4685) @t4684))) % 1.61/1.81 (step @p3784 :rule aci_norm :args ((= (or @t4682 (or @t4681 @t173)) @t4685))) % 1.61/1.81 (step @p3785 :rule bool-implies-de-morgan :args (@t1168 @t173)) % 1.61/1.81 (step @p3786 :rule nary_cong :premises (@p3785 @p1178) :args ((or (not @t1402) @t173))) % 1.61/1.81 (step @p3787 :rule bool-impl-elim :args (@t1402 @t173)) % 1.61/1.81 (step @p3788 :rule trans :premises (@p3787 @p3786)) % 1.61/1.81 (step @p3789 :rule bool-implies-de-morgan :args (@t696 @t173)) % 1.61/1.81 (step @p3790 :rule nary_cong :premises (@p3789 @p3788) :args ((or (not @t1404) @t1403))) % 1.61/1.81 (step @p3791 :rule trans :premises (@p3790 @p3784)) % 1.61/1.81 (step @p3792 :rule bool-impl-elim :args (@t1404 @t1403)) % 1.61/1.81 (step @p3793 :rule trans :premises (@p3792 @p3791)) % 1.61/1.81 (step @p3794 :rule nary_cong :premises (@p3682 @p3793) :args ((or @t1326 @t1405))) % 1.61/1.81 (step @p3795 :rule trans :premises (@p3794 @p3783)) % 1.61/1.81 (step @p3796 :rule bool-impl-elim :args (@t1325 @t1405)) % 1.61/1.81 (step @p3797 :rule trans :premises (@p3796 @p3795)) % 1.61/1.81 (step @p3798 :rule nary_cong :premises (@p3166 @p3797) :args ((or @t197 @t1406))) % 1.61/1.81 (step @p3799 :rule trans :premises (@p3798 @p3782)) % 1.61/1.81 (step @p3800 :rule bool-impl-elim :args (@t7 @t1406)) % 1.61/1.81 (step @p3801 :rule trans :premises (@p3800 @p3799)) % 1.61/1.81 (step @p3802 :rule cong :premises (@p3801) :args (@t1407)) % 1.61/1.81 (step @p3803 :rule trans :premises (@p3802 @p3781)) % 1.61/1.81 (step @p3804 :rule cong :premises (@p2423 @p3803) :args (@t1408)) % 1.61/1.81 (step @p3805 :rule cong :premises (@p3804) :args (@t1409)) % 1.61/1.81 (step @p3806 :rule trans :premises (@p3805 @p3746)) % 1.61/1.81 (step @p3807 :rule cong :premises (@p2238 @p3806) :args (@t1410)) % 1.61/1.81 (step @p3808 :rule cong :premises (@p3807) :args (@t1411)) % 1.61/1.81 (step @p3809 :rule trans :premises (@p3808 @p3728)) % 1.61/1.81 (step @p3810 :rule refl :args (tptp.binunionTE)) % 1.61/1.81 (step @p3811 :rule cong :premises (@p3810 @p3809) :args (@t1412)) % 1.61/1.81 (step @p3812 :rule eq_resolve :premises (@p263 @p3811)) % 1.61/1.81 (step @p3813 :rule cong :premises (@p3812 @p3710) :args (@t4686)) % 1.61/1.81 (step @p3814 :rule refl :args (tptp.inComplementUnionImpInComplement1)) % 1.61/1.81 (step @p3815 :rule cong :premises (@p3814 @p3614) :args (@t1401)) % 1.61/1.81 (step @p3816 :rule eq_resolve :premises (@p262 @p3815)) % 1.61/1.81 (step @p3817 :rule cong :premises (@p3816 @p3813) :args (@t4687)) % 1.61/1.81 (step @p3818 :rule aci_norm :args ((= @t4689 @t2353))) % 1.61/1.81 (step @p3819 :rule cong :premises (@p3818) :args (@t4690)) % 1.61/1.81 (step @p3820 :rule quant-merge-prenex :args ((= (forall @t1141 @t4692) @t4690))) % 1.61/1.81 (step @p3821 :rule alpha_equiv :args (@t4693 (@list @t2349 @t2347) (@list @t1131 @t4694))) % 1.61/1.81 (step @p3822 :rule nary_cong :premises (@p2143 @p3821) :args (@t4695)) % 1.61/1.81 (step @p3823 :rule quant-miniscope-or :args ((= @t4692 @t4695))) % 1.61/1.81 (step @p3824 :rule trans :premises (@p3823 @p3822)) % 1.61/1.81 (step @p3825 :rule symm :premises (@p3824)) % 1.61/1.81 (step @p3826 :rule cong :premises (@p3825) :args ((forall @t1141 (or @t2184 @t4701)))) % 1.61/1.81 (step @p3827 :rule trans :premises (@p3826 @p3820)) % 1.61/1.81 (step @p3828 :rule trans :premises (@p3827 @p3819)) % 1.61/1.81 (step @p3829 :rule refl :args (@t4701)) % 1.61/1.81 (step @p3830 :rule nary_cong :premises (@p2169 @p3829) :args (@t4702)) % 1.61/1.81 (step @p3831 :rule cong :premises (@p3830) :args ((forall @t1141 @t4702))) % 1.61/1.81 (step @p3832 :rule trans :premises (@p3831 @p3828)) % 1.61/1.81 (step @p3833 :rule bool-impl-elim :args (@t1139 @t4701)) % 1.61/1.81 (step @p3834 :rule cong :premises (@p3833) :args ((forall @t1141 (=> @t1139 @t4701)))) % 1.61/1.81 (step @p3835 :rule trans :premises (@p3834 @p3832)) % 1.61/1.81 (step @p3836 :rule aci_norm :args ((= @t4704 @t4699))) % 1.61/1.81 (step @p3837 :rule cong :premises (@p3836) :args (@t4705)) % 1.61/1.81 (step @p3838 :rule quant-merge-prenex :args ((= (forall @t1137 @t4707) @t4705))) % 1.61/1.81 (step @p3839 :rule alpha_equiv :args (@t4708 (@list @t4694) @t3992)) % 1.61/1.81 (step @p3840 :rule nary_cong :premises (@p2340 @p3839) :args (@t4709)) % 1.61/1.81 (step @p3841 :rule quant-miniscope-or :args ((= @t4707 @t4709))) % 1.61/1.81 (step @p3842 :rule trans :premises (@p3841 @p3840)) % 1.61/1.81 (step @p3843 :rule symm :premises (@p3842)) % 1.61/1.81 (step @p3844 :rule cong :premises (@p3843) :args ((forall @t1137 (or @t4086 @t4710)))) % 1.61/1.81 (step @p3845 :rule trans :premises (@p3844 @p3838)) % 1.61/1.81 (step @p3846 :rule trans :premises (@p3845 @p3837)) % 1.61/1.81 (step @p3847 :rule refl :args (@t4710)) % 1.61/1.81 (step @p3848 :rule nary_cong :premises (@p2232 @p3847) :args (@t4711)) % 1.61/1.81 (step @p3849 :rule cong :premises (@p3848) :args ((forall @t1137 @t4711))) % 1.61/1.81 (step @p3850 :rule trans :premises (@p3849 @p3846)) % 1.61/1.81 (step @p3851 :rule bool-impl-elim :args (@t1136 @t4710)) % 1.61/1.81 (step @p3852 :rule cong :premises (@p3851) :args ((forall @t1137 (=> @t1136 @t4710)))) % 1.61/1.81 (step @p3853 :rule trans :premises (@p3852 @p3850)) % 1.61/1.81 (step @p3854 :rule cong :premises (@p3677) :args (@t1217)) % 1.61/1.81 (step @p3855 :rule nary_cong :premises (@p883 @p3303 @p3854) :args (@t4712)) % 1.61/1.81 (step @p3856 :rule cong :premises (@p3855) :args ((forall @t9 @t4712))) % 1.61/1.81 (step @p3857 :rule aci_norm :args ((= (or @t197 (or @t4487 @t1217)) @t4712))) % 1.61/1.81 (step @p3858 :rule bool-impl-elim :args (@t1387 @t1217)) % 1.61/1.81 (step @p3859 :rule nary_cong :premises (@p3166 @p3858) :args ((or @t197 @t1388))) % 1.61/1.81 (step @p3860 :rule trans :premises (@p3859 @p3857)) % 1.61/1.81 (step @p3861 :rule bool-impl-elim :args (@t7 @t1388)) % 1.61/1.81 (step @p3862 :rule trans :premises (@p3861 @p3860)) % 1.61/1.81 (step @p3863 :rule cong :premises (@p3862) :args (@t1389)) % 1.61/1.81 (step @p3864 :rule trans :premises (@p3863 @p3856)) % 1.61/1.81 (step @p3865 :rule cong :premises (@p2423 @p3864) :args (@t1390)) % 1.61/1.81 (step @p3866 :rule cong :premises (@p3865) :args (@t1391)) % 1.61/1.81 (step @p3867 :rule trans :premises (@p3866 @p3853)) % 1.61/1.81 (step @p3868 :rule cong :premises (@p2238 @p3867) :args (@t1392)) % 1.61/1.81 (step @p3869 :rule cong :premises (@p3868) :args (@t1393)) % 1.61/1.81 (step @p3870 :rule trans :premises (@p3869 @p3835)) % 1.61/1.81 (step @p3871 :rule refl :args (tptp.inComplementUnionImpNotIn1)) % 1.61/1.81 (step @p3872 :rule cong :premises (@p3871 @p3870) :args (@t1394)) % 1.61/1.81 (step @p3873 :rule eq_resolve :premises (@p261 @p3872)) % 1.61/1.81 (step @p3874 :rule cong :premises (@p3873 @p3817) :args (@t4713)) % 1.61/1.81 (step @p3875 :rule refl :args (tptp.intersectInPowersetIntersectUnions)) % 1.61/1.81 (step @p3876 :rule cong :premises (@p3875 @p2429) :args (@t1385)) % 1.61/1.81 (step @p3877 :rule eq_resolve :premises (@p260 @p3876)) % 1.61/1.81 (step @p3878 :rule cong :premises (@p3877 @p3874) :args (@t4714)) % 1.61/1.81 (step @p3879 :rule aci_norm :args ((= @t4716 @t2363))) % 1.61/1.81 (step @p3880 :rule cong :premises (@p3879) :args (@t4717)) % 1.61/1.81 (step @p3881 :rule quant-merge-prenex :args ((= (forall @t1141 @t4719) @t4717))) % 1.61/1.81 (step @p3882 :rule alpha_equiv :args (@t4720 (@list @t2356 @t2355 @t2357) (@list @t1131 @t4722 @t4721))) % 1.61/1.81 (step @p3883 :rule nary_cong :premises (@p2143 @p3882) :args (@t4723)) % 1.61/1.81 (step @p3884 :rule quant-miniscope-or :args ((= @t4719 @t4723))) % 1.61/1.81 (step @p3885 :rule trans :premises (@p3884 @p3883)) % 1.61/1.81 (step @p3886 :rule symm :premises (@p3885)) % 1.61/1.81 (step @p3887 :rule cong :premises (@p3886) :args ((forall @t1141 (or @t2184 @t4730)))) % 1.61/1.81 (step @p3888 :rule trans :premises (@p3887 @p3881)) % 1.61/1.81 (step @p3889 :rule trans :premises (@p3888 @p3880)) % 1.61/1.81 (step @p3890 :rule refl :args (@t4730)) % 1.61/1.81 (step @p3891 :rule nary_cong :premises (@p2169 @p3890) :args (@t4731)) % 1.61/1.81 (step @p3892 :rule cong :premises (@p3891) :args ((forall @t1141 @t4731))) % 1.61/1.81 (step @p3893 :rule trans :premises (@p3892 @p3889)) % 1.61/1.81 (step @p3894 :rule bool-impl-elim :args (@t1139 @t4730)) % 1.61/1.81 (step @p3895 :rule cong :premises (@p3894) :args ((forall @t1141 (=> @t1139 @t4730)))) % 1.61/1.81 (step @p3896 :rule trans :premises (@p3895 @p3893)) % 1.61/1.81 (step @p3897 :rule aci_norm :args ((= @t4733 @t4728))) % 1.61/1.81 (step @p3898 :rule cong :premises (@p3897) :args (@t4734)) % 1.61/1.81 (step @p3899 :rule quant-merge-prenex :args ((= (forall @t1137 @t4736) @t4734))) % 1.61/1.81 (step @p3900 :rule alpha_equiv :args (@t4737 (@list @t4722 @t4721) (@list @t1341 @t4738))) % 1.61/1.81 (step @p3901 :rule nary_cong :premises (@p2340 @p3900) :args (@t4739)) % 1.61/1.81 (step @p3902 :rule quant-miniscope-or :args ((= @t4736 @t4739))) % 1.61/1.81 (step @p3903 :rule trans :premises (@p3902 @p3901)) % 1.61/1.81 (step @p3904 :rule symm :premises (@p3903)) % 1.61/1.81 (step @p3905 :rule cong :premises (@p3904) :args ((forall @t1137 (or @t4086 @t4745)))) % 1.61/1.81 (step @p3906 :rule trans :premises (@p3905 @p3899)) % 1.61/1.81 (step @p3907 :rule trans :premises (@p3906 @p3898)) % 1.61/1.81 (step @p3908 :rule refl :args (@t4745)) % 1.61/1.81 (step @p3909 :rule nary_cong :premises (@p2232 @p3908) :args (@t4746)) % 1.61/1.81 (step @p3910 :rule cong :premises (@p3909) :args ((forall @t1137 @t4746))) % 1.61/1.81 (step @p3911 :rule trans :premises (@p3910 @p3907)) % 1.61/1.81 (step @p3912 :rule bool-impl-elim :args (@t1136 @t4745)) % 1.61/1.81 (step @p3913 :rule cong :premises (@p3912) :args ((forall @t1137 (=> @t1136 @t4745)))) % 1.61/1.81 (step @p3914 :rule trans :premises (@p3913 @p3911)) % 1.61/1.81 (step @p3915 :rule aci_norm :args ((= @t4748 @t4743))) % 1.61/1.81 (step @p3916 :rule cong :premises (@p3915) :args (@t4749)) % 1.61/1.81 (step @p3917 :rule quant-merge-prenex :args ((= (forall @t1349 @t4751) @t4749))) % 1.61/1.81 (step @p3918 :rule alpha_equiv :args (@t4752 (@list @t4738) @t3992)) % 1.61/1.81 (step @p3919 :rule nary_cong :premises (@p2476 @p3918) :args (@t4753)) % 1.61/1.81 (step @p3920 :rule quant-miniscope-or :args ((= @t4751 @t4753))) % 1.61/1.81 (step @p3921 :rule trans :premises (@p3920 @p3919)) % 1.61/1.81 (step @p3922 :rule symm :premises (@p3921)) % 1.61/1.81 (step @p3923 :rule cong :premises (@p3922) :args ((forall @t1349 (or @t4138 @t4755)))) % 1.61/1.81 (step @p3924 :rule trans :premises (@p3923 @p3917)) % 1.61/1.81 (step @p3925 :rule trans :premises (@p3924 @p3916)) % 1.61/1.81 (step @p3926 :rule refl :args (@t4755)) % 1.61/1.81 (step @p3927 :rule nary_cong :premises (@p2417 @p3926) :args (@t4756)) % 1.61/1.81 (step @p3928 :rule cong :premises (@p3927) :args ((forall @t1349 @t4756))) % 1.61/1.81 (step @p3929 :rule trans :premises (@p3928 @p3925)) % 1.61/1.81 (step @p3930 :rule bool-impl-elim :args (@t1347 @t4755)) % 1.61/1.81 (step @p3931 :rule cong :premises (@p3930) :args ((forall @t1349 (=> @t1347 @t4755)))) % 1.61/1.81 (step @p3932 :rule trans :premises (@p3931 @p3929)) % 1.61/1.81 (step @p3933 :rule refl :args ((tptp.in @t4 @t1367))) % 1.61/1.81 (step @p3934 :rule cong :premises (@p3047 @p2361) :args (@t4754)) % 1.61/1.81 (step @p3935 :rule trans :premises (@p3934 @p3933)) % 1.61/1.81 (step @p3936 :rule ho_cong :premises (@p3050 @p2361)) % 1.61/1.81 (step @p3937 :rule cong :premises (@p3936 @p3935) :args ((= (_ @t5 @t4134) @t4754))) % 1.61/1.81 (step @p3938 :rule symm :premises (@p3937)) % 1.61/1.81 (step @p3939 :rule refl :args (@t1368)) % 1.61/1.81 (step @p3940 :rule eq_resolve :premises (@p3939 @p3938)) % 1.61/1.81 (step @p3941 :rule ho_cong :premises (@p3050 @p2395)) % 1.61/1.81 (step @p3942 :rule trans :premises (@p3941 @p3940)) % 1.61/1.81 (step @p3943 :rule nary_cong :premises (@p883 @p3058 @p3942) :args (@t4757)) % 1.61/1.81 (step @p3944 :rule cong :premises (@p3943) :args ((forall @t9 @t4757))) % 1.61/1.81 (step @p3945 :rule aci_norm :args ((= (or @t197 (or @t1216 @t1368)) @t4757))) % 1.61/1.81 (step @p3946 :rule bool-impl-elim :args (@t1215 @t1368)) % 1.61/1.81 (step @p3947 :rule nary_cong :premises (@p3166 @p3946) :args ((or @t197 @t1369))) % 1.61/1.81 (step @p3948 :rule trans :premises (@p3947 @p3945)) % 1.61/1.81 (step @p3949 :rule bool-impl-elim :args (@t7 @t1369)) % 1.61/1.81 (step @p3950 :rule trans :premises (@p3949 @p3948)) % 1.61/1.81 (step @p3951 :rule cong :premises (@p3950) :args (@t1370)) % 1.61/1.81 (step @p3952 :rule trans :premises (@p3951 @p3944)) % 1.61/1.81 (step @p3953 :rule cong :premises (@p2584 @p3952) :args (@t1371)) % 1.61/1.81 (step @p3954 :rule cong :premises (@p3953) :args (@t1372)) % 1.61/1.81 (step @p3955 :rule trans :premises (@p3954 @p3932)) % 1.61/1.81 (step @p3956 :rule cong :premises (@p2423 @p3955) :args (@t1373)) % 1.61/1.81 (step @p3957 :rule cong :premises (@p3956) :args (@t1374)) % 1.61/1.81 (step @p3958 :rule trans :premises (@p3957 @p3914)) % 1.61/1.81 (step @p3959 :rule cong :premises (@p2238 @p3958) :args (@t1375)) % 1.61/1.81 (step @p3960 :rule cong :premises (@p3959) :args (@t1376)) % 1.61/1.81 (step @p3961 :rule trans :premises (@p3960 @p3896)) % 1.61/1.81 (step @p3962 :rule refl :args (tptp.inIntersectImpInIntersectUnions)) % 1.61/1.81 (step @p3963 :rule cong :premises (@p3962 @p3961) :args (@t1377)) % 1.61/1.81 (step @p3964 :rule eq_resolve :premises (@p259 @p3963)) % 1.61/1.81 (step @p3965 :rule cong :premises (@p3964 @p3878) :args (@t4758)) % 1.61/1.81 (step @p3966 :rule aci_norm :args ((= @t4760 @t2373))) % 1.61/1.81 (step @p3967 :rule cong :premises (@p3966) :args (@t4761)) % 1.61/1.81 (step @p3968 :rule quant-merge-prenex :args ((= (forall @t1141 @t4763) @t4761))) % 1.61/1.81 (step @p3969 :rule alpha_equiv :args (@t4764 (@list @t2366 @t2365 @t2367) (@list @t1131 @t4766 @t4765))) % 1.61/1.81 (step @p3970 :rule nary_cong :premises (@p2143 @p3969) :args (@t4767)) % 1.61/1.81 (step @p3971 :rule quant-miniscope-or :args ((= @t4763 @t4767))) % 1.61/1.81 (step @p3972 :rule trans :premises (@p3971 @p3970)) % 1.61/1.81 (step @p3973 :rule symm :premises (@p3972)) % 1.61/1.81 (step @p3974 :rule cong :premises (@p3973) :args ((forall @t1141 (or @t2184 @t4774)))) % 1.61/1.81 (step @p3975 :rule trans :premises (@p3974 @p3968)) % 1.61/1.81 (step @p3976 :rule trans :premises (@p3975 @p3967)) % 1.61/1.81 (step @p3977 :rule refl :args (@t4774)) % 1.61/1.81 (step @p3978 :rule nary_cong :premises (@p2169 @p3977) :args (@t4775)) % 1.61/1.81 (step @p3979 :rule cong :premises (@p3978) :args ((forall @t1141 @t4775))) % 1.61/1.81 (step @p3980 :rule trans :premises (@p3979 @p3976)) % 1.61/1.81 (step @p3981 :rule bool-impl-elim :args (@t1139 @t4774)) % 1.61/1.81 (step @p3982 :rule cong :premises (@p3981) :args ((forall @t1141 (=> @t1139 @t4774)))) % 1.61/1.81 (step @p3983 :rule trans :premises (@p3982 @p3980)) % 1.61/1.81 (step @p3984 :rule aci_norm :args ((= @t4777 @t4772))) % 1.61/1.81 (step @p3985 :rule cong :premises (@p3984) :args (@t4778)) % 1.61/1.81 (step @p3986 :rule quant-merge-prenex :args ((= (forall @t1137 @t4780) @t4778))) % 1.61/1.81 (step @p3987 :rule alpha_equiv :args (@t4781 (@list @t4766 @t4765) (@list @t1341 @t4782))) % 1.61/1.81 (step @p3988 :rule nary_cong :premises (@p2340 @p3987) :args (@t4783)) % 1.61/1.81 (step @p3989 :rule quant-miniscope-or :args ((= @t4780 @t4783))) % 1.61/1.81 (step @p3990 :rule trans :premises (@p3989 @p3988)) % 1.61/1.81 (step @p3991 :rule symm :premises (@p3990)) % 1.61/1.81 (step @p3992 :rule cong :premises (@p3991) :args ((forall @t1137 (or @t4086 @t4789)))) % 1.61/1.81 (step @p3993 :rule trans :premises (@p3992 @p3986)) % 1.61/1.81 (step @p3994 :rule trans :premises (@p3993 @p3985)) % 1.61/1.81 (step @p3995 :rule refl :args (@t4789)) % 1.61/1.81 (step @p3996 :rule nary_cong :premises (@p2232 @p3995) :args (@t4790)) % 1.61/1.81 (step @p3997 :rule cong :premises (@p3996) :args ((forall @t1137 @t4790))) % 1.61/1.81 (step @p3998 :rule trans :premises (@p3997 @p3994)) % 1.61/1.81 (step @p3999 :rule bool-impl-elim :args (@t1136 @t4789)) % 1.61/1.81 (step @p4000 :rule cong :premises (@p3999) :args ((forall @t1137 (=> @t1136 @t4789)))) % 1.61/1.81 (step @p4001 :rule trans :premises (@p4000 @p3998)) % 1.61/1.81 (step @p4002 :rule aci_norm :args ((= @t4792 @t4787))) % 1.61/1.81 (step @p4003 :rule cong :premises (@p4002) :args (@t4793)) % 1.61/1.81 (step @p4004 :rule quant-merge-prenex :args ((= (forall @t1349 @t4795) @t4793))) % 1.61/1.81 (step @p4005 :rule alpha_equiv :args (@t4796 (@list @t4782) @t3992)) % 1.61/1.81 (step @p4006 :rule nary_cong :premises (@p2476 @p4005) :args (@t4797)) % 1.61/1.81 (step @p4007 :rule quant-miniscope-or :args ((= @t4795 @t4797))) % 1.61/1.81 (step @p4008 :rule trans :premises (@p4007 @p4006)) % 1.61/1.81 (step @p4009 :rule symm :premises (@p4008)) % 1.61/1.81 (step @p4010 :rule cong :premises (@p4009) :args ((forall @t1349 (or @t4138 @t4799)))) % 1.61/1.81 (step @p4011 :rule trans :premises (@p4010 @p4004)) % 1.61/1.81 (step @p4012 :rule trans :premises (@p4011 @p4003)) % 1.61/1.81 (step @p4013 :rule refl :args (@t4799)) % 1.61/1.81 (step @p4014 :rule nary_cong :premises (@p2417 @p4013) :args (@t4800)) % 1.61/1.81 (step @p4015 :rule cong :premises (@p4014) :args ((forall @t1349 @t4800))) % 1.61/1.81 (step @p4016 :rule trans :premises (@p4015 @p4012)) % 1.61/1.81 (step @p4017 :rule bool-impl-elim :args (@t1347 @t4799)) % 1.61/1.81 (step @p4018 :rule cong :premises (@p4017) :args ((forall @t1349 (=> @t1347 @t4799)))) % 1.61/1.81 (step @p4019 :rule trans :premises (@p4018 @p4016)) % 1.61/1.81 (step @p4020 :rule refl :args ((tptp.in @t4 @t1356))) % 1.61/1.81 (step @p4021 :rule cong :premises (@p3047 @p2358) :args (@t4798)) % 1.61/1.81 (step @p4022 :rule trans :premises (@p4021 @p4020)) % 1.61/1.81 (step @p4023 :rule ho_cong :premises (@p3050 @p2358)) % 1.61/1.81 (step @p4024 :rule cong :premises (@p4023 @p4022) :args ((= (_ @t5 @t4132) @t4798))) % 1.61/1.81 (step @p4025 :rule symm :premises (@p4024)) % 1.61/1.81 (step @p4026 :rule refl :args (@t1357)) % 1.61/1.81 (step @p4027 :rule eq_resolve :premises (@p4026 @p4025)) % 1.61/1.81 (step @p4028 :rule ho_cong :premises (@p3050 @p2388)) % 1.61/1.81 (step @p4029 :rule trans :premises (@p4028 @p4027)) % 1.61/1.81 (step @p4030 :rule nary_cong :premises (@p883 @p3058 @p4029) :args (@t4801)) % 1.61/1.81 (step @p4031 :rule cong :premises (@p4030) :args ((forall @t9 @t4801))) % 1.61/1.81 (step @p4032 :rule aci_norm :args ((= (or @t197 (or @t1216 @t1357)) @t4801))) % 1.61/1.81 (step @p4033 :rule bool-impl-elim :args (@t1215 @t1357)) % 1.61/1.81 (step @p4034 :rule nary_cong :premises (@p3166 @p4033) :args ((or @t197 @t1358))) % 1.61/1.81 (step @p4035 :rule trans :premises (@p4034 @p4032)) % 1.61/1.81 (step @p4036 :rule bool-impl-elim :args (@t7 @t1358)) % 1.61/1.81 (step @p4037 :rule trans :premises (@p4036 @p4035)) % 1.61/1.81 (step @p4038 :rule cong :premises (@p4037) :args (@t1359)) % 1.61/1.81 (step @p4039 :rule trans :premises (@p4038 @p4031)) % 1.61/1.81 (step @p4040 :rule cong :premises (@p2584 @p4039) :args (@t1360)) % 1.61/1.81 (step @p4041 :rule cong :premises (@p4040) :args (@t1361)) % 1.61/1.81 (step @p4042 :rule trans :premises (@p4041 @p4019)) % 1.61/1.81 (step @p4043 :rule cong :premises (@p2423 @p4042) :args (@t1362)) % 1.61/1.81 (step @p4044 :rule cong :premises (@p4043) :args (@t1363)) % 1.61/1.81 (step @p4045 :rule trans :premises (@p4044 @p4001)) % 1.61/1.81 (step @p4046 :rule cong :premises (@p2238 @p4045) :args (@t1364)) % 1.61/1.81 (step @p4047 :rule cong :premises (@p4046) :args (@t1365)) % 1.61/1.81 (step @p4048 :rule trans :premises (@p4047 @p3983)) % 1.61/1.81 (step @p4049 :rule refl :args (tptp.inIntersectImpInUnion2)) % 1.61/1.81 (step @p4050 :rule cong :premises (@p4049 @p4048) :args (@t1366)) % 1.61/1.81 (step @p4051 :rule eq_resolve :premises (@p258 @p4050)) % 1.61/1.81 (step @p4052 :rule cong :premises (@p4051 @p3965) :args (@t4802)) % 1.61/1.81 (step @p4053 :rule aci_norm :args ((= @t4804 @t2383))) % 1.61/1.81 (step @p4054 :rule cong :premises (@p4053) :args (@t4805)) % 1.61/1.81 (step @p4055 :rule quant-merge-prenex :args ((= (forall @t1141 @t4807) @t4805))) % 1.61/1.81 (step @p4056 :rule alpha_equiv :args (@t4808 (@list @t2378 @t2375 @t2376) (@list @t1131 @t4810 @t4809))) % 1.61/1.81 (step @p4057 :rule nary_cong :premises (@p2143 @p4056) :args (@t4811)) % 1.61/1.81 (step @p4058 :rule quant-miniscope-or :args ((= @t4807 @t4811))) % 1.61/1.81 (step @p4059 :rule trans :premises (@p4058 @p4057)) % 1.61/1.81 (step @p4060 :rule symm :premises (@p4059)) % 1.61/1.81 (step @p4061 :rule cong :premises (@p4060) :args ((forall @t1141 (or @t2184 @t4818)))) % 1.61/1.81 (step @p4062 :rule trans :premises (@p4061 @p4055)) % 1.61/1.81 (step @p4063 :rule trans :premises (@p4062 @p4054)) % 1.61/1.81 (step @p4064 :rule refl :args (@t4818)) % 1.61/1.81 (step @p4065 :rule nary_cong :premises (@p2169 @p4064) :args (@t4819)) % 1.61/1.81 (step @p4066 :rule cong :premises (@p4065) :args ((forall @t1141 @t4819))) % 1.61/1.81 (step @p4067 :rule trans :premises (@p4066 @p4063)) % 1.61/1.81 (step @p4068 :rule bool-impl-elim :args (@t1139 @t4818)) % 1.61/1.81 (step @p4069 :rule cong :premises (@p4068) :args ((forall @t1141 (=> @t1139 @t4818)))) % 1.61/1.81 (step @p4070 :rule trans :premises (@p4069 @p4067)) % 1.61/1.81 (step @p4071 :rule aci_norm :args ((= @t4821 @t4816))) % 1.61/1.81 (step @p4072 :rule cong :premises (@p4071) :args (@t4822)) % 1.61/1.81 (step @p4073 :rule quant-merge-prenex :args ((= (forall @t1137 @t4824) @t4822))) % 1.61/1.81 (step @p4074 :rule alpha_equiv :args (@t4825 (@list @t4810 @t4809) (@list @t1341 @t4826))) % 1.61/1.81 (step @p4075 :rule nary_cong :premises (@p2340 @p4074) :args (@t4827)) % 1.61/1.81 (step @p4076 :rule quant-miniscope-or :args ((= @t4824 @t4827))) % 1.61/1.81 (step @p4077 :rule trans :premises (@p4076 @p4075)) % 1.61/1.81 (step @p4078 :rule symm :premises (@p4077)) % 1.61/1.81 (step @p4079 :rule cong :premises (@p4078) :args ((forall @t1137 (or @t4086 @t4833)))) % 1.61/1.81 (step @p4080 :rule trans :premises (@p4079 @p4073)) % 1.61/1.81 (step @p4081 :rule trans :premises (@p4080 @p4072)) % 1.61/1.81 (step @p4082 :rule refl :args (@t4833)) % 1.61/1.81 (step @p4083 :rule nary_cong :premises (@p2232 @p4082) :args (@t4834)) % 1.61/1.81 (step @p4084 :rule cong :premises (@p4083) :args ((forall @t1137 @t4834))) % 1.61/1.81 (step @p4085 :rule trans :premises (@p4084 @p4081)) % 1.61/1.81 (step @p4086 :rule bool-impl-elim :args (@t1136 @t4833)) % 1.61/1.81 (step @p4087 :rule cong :premises (@p4086) :args ((forall @t1137 (=> @t1136 @t4833)))) % 1.61/1.81 (step @p4088 :rule trans :premises (@p4087 @p4085)) % 1.61/1.81 (step @p4089 :rule aci_norm :args ((= @t4836 @t4831))) % 1.61/1.81 (step @p4090 :rule cong :premises (@p4089) :args (@t4837)) % 1.61/1.81 (step @p4091 :rule quant-merge-prenex :args ((= (forall @t1349 @t4839) @t4837))) % 1.61/1.81 (step @p4092 :rule alpha_equiv :args (@t4840 (@list @t4826) @t3992)) % 1.61/1.81 (step @p4093 :rule nary_cong :premises (@p2476 @p4092) :args (@t4841)) % 1.61/1.81 (step @p4094 :rule quant-miniscope-or :args ((= @t4839 @t4841))) % 1.61/1.81 (step @p4095 :rule trans :premises (@p4094 @p4093)) % 1.61/1.81 (step @p4096 :rule symm :premises (@p4095)) % 1.61/1.81 (step @p4097 :rule cong :premises (@p4096) :args ((forall @t1349 (or @t4138 @t4843)))) % 1.61/1.81 (step @p4098 :rule trans :premises (@p4097 @p4091)) % 1.61/1.81 (step @p4099 :rule trans :premises (@p4098 @p4090)) % 1.61/1.81 (step @p4100 :rule refl :args (@t4843)) % 1.61/1.81 (step @p4101 :rule nary_cong :premises (@p2417 @p4100) :args (@t4844)) % 1.61/1.81 (step @p4102 :rule cong :premises (@p4101) :args ((forall @t1349 @t4844))) % 1.61/1.81 (step @p4103 :rule trans :premises (@p4102 @p4099)) % 1.61/1.81 (step @p4104 :rule bool-impl-elim :args (@t1347 @t4843)) % 1.61/1.81 (step @p4105 :rule cong :premises (@p4104) :args ((forall @t1349 (=> @t1347 @t4843)))) % 1.61/1.81 (step @p4106 :rule trans :premises (@p4105 @p4103)) % 1.61/1.81 (step @p4107 :rule refl :args ((tptp.in @t4 @t1342))) % 1.61/1.81 (step @p4108 :rule cong :premises (@p3047 @p2359) :args (@t4842)) % 1.61/1.81 (step @p4109 :rule trans :premises (@p4108 @p4107)) % 1.61/1.81 (step @p4110 :rule ho_cong :premises (@p3050 @p2359)) % 1.61/1.81 (step @p4111 :rule cong :premises (@p4110 @p4109) :args ((= (_ @t5 @t4133) @t4842))) % 1.61/1.81 (step @p4112 :rule symm :premises (@p4111)) % 1.61/1.81 (step @p4113 :rule refl :args (@t1343)) % 1.61/1.81 (step @p4114 :rule eq_resolve :premises (@p4113 @p4112)) % 1.61/1.81 (step @p4115 :rule ho_cong :premises (@p3050 @p2392)) % 1.61/1.81 (step @p4116 :rule trans :premises (@p4115 @p4114)) % 1.61/1.81 (step @p4117 :rule nary_cong :premises (@p883 @p3058 @p4116) :args (@t4845)) % 1.61/1.81 (step @p4118 :rule cong :premises (@p4117) :args ((forall @t9 @t4845))) % 1.61/1.81 (step @p4119 :rule aci_norm :args ((= (or @t197 (or @t1216 @t1343)) @t4845))) % 1.61/1.81 (step @p4120 :rule bool-impl-elim :args (@t1215 @t1343)) % 1.61/1.81 (step @p4121 :rule nary_cong :premises (@p3166 @p4120) :args ((or @t197 @t1344))) % 1.61/1.81 (step @p4122 :rule trans :premises (@p4121 @p4119)) % 1.61/1.81 (step @p4123 :rule bool-impl-elim :args (@t7 @t1344)) % 1.61/1.81 (step @p4124 :rule trans :premises (@p4123 @p4122)) % 1.61/1.81 (step @p4125 :rule cong :premises (@p4124) :args (@t1345)) % 1.61/1.81 (step @p4126 :rule trans :premises (@p4125 @p4118)) % 1.61/1.81 (step @p4127 :rule cong :premises (@p2584 @p4126) :args (@t1348)) % 1.61/1.81 (step @p4128 :rule cong :premises (@p4127) :args (@t1350)) % 1.61/1.81 (step @p4129 :rule trans :premises (@p4128 @p4106)) % 1.61/1.81 (step @p4130 :rule cong :premises (@p2423 @p4129) :args (@t1351)) % 1.61/1.81 (step @p4131 :rule cong :premises (@p4130) :args (@t1352)) % 1.61/1.81 (step @p4132 :rule trans :premises (@p4131 @p4088)) % 1.61/1.81 (step @p4133 :rule cong :premises (@p2238 @p4132) :args (@t1353)) % 1.61/1.81 (step @p4134 :rule cong :premises (@p4133) :args (@t1354)) % 1.61/1.81 (step @p4135 :rule trans :premises (@p4134 @p4070)) % 1.61/1.81 (step @p4136 :rule refl :args (tptp.inIntersectImpInUnion)) % 1.61/1.81 (step @p4137 :rule cong :premises (@p4136 @p4135) :args (@t1355)) % 1.61/1.81 (step @p4138 :rule eq_resolve :premises (@p257 @p4137)) % 1.61/1.81 (step @p4139 :rule cong :premises (@p4138 @p4052) :args (@t4846)) % 1.61/1.81 (step @p4140 :rule aci_norm :args ((= @t4848 @t2391))) % 1.61/1.81 (step @p4141 :rule cong :premises (@p4140) :args (@t4849)) % 1.61/1.81 (step @p4142 :rule quant-merge-prenex :args ((= (forall @t1141 @t4851) @t4849))) % 1.61/1.81 (step @p4143 :rule alpha_equiv :args (@t4852 (@list @t2385 @t2386) (@list @t1131 @t4853))) % 1.61/1.81 (step @p4144 :rule nary_cong :premises (@p2143 @p4143) :args (@t4854)) % 1.61/1.81 (step @p4145 :rule quant-miniscope-or :args ((= @t4851 @t4854))) % 1.61/1.81 (step @p4146 :rule trans :premises (@p4145 @p4144)) % 1.61/1.81 (step @p4147 :rule symm :premises (@p4146)) % 1.61/1.81 (step @p4148 :rule cong :premises (@p4147) :args ((forall @t1141 (or @t2184 @t4860)))) % 1.61/1.81 (step @p4149 :rule trans :premises (@p4148 @p4142)) % 1.61/1.81 (step @p4150 :rule trans :premises (@p4149 @p4141)) % 1.61/1.81 (step @p4151 :rule refl :args (@t4860)) % 1.61/1.81 (step @p4152 :rule nary_cong :premises (@p2169 @p4151) :args (@t4861)) % 1.61/1.81 (step @p4153 :rule cong :premises (@p4152) :args ((forall @t1141 @t4861))) % 1.61/1.81 (step @p4154 :rule trans :premises (@p4153 @p4150)) % 1.61/1.81 (step @p4155 :rule bool-impl-elim :args (@t1139 @t4860)) % 1.61/1.81 (step @p4156 :rule cong :premises (@p4155) :args ((forall @t1141 (=> @t1139 @t4860)))) % 1.61/1.81 (step @p4157 :rule trans :premises (@p4156 @p4154)) % 1.61/1.81 (step @p4158 :rule aci_norm :args ((= @t4863 @t4858))) % 1.61/1.81 (step @p4159 :rule cong :premises (@p4158) :args (@t4864)) % 1.61/1.81 (step @p4160 :rule quant-merge-prenex :args ((= (forall @t1137 @t4866) @t4864))) % 1.61/1.81 (step @p4161 :rule alpha_equiv :args (@t4867 (@list @t4853) @t3992)) % 1.61/1.81 (step @p4162 :rule nary_cong :premises (@p2340 @p4161) :args (@t4868)) % 1.61/1.81 (step @p4163 :rule quant-miniscope-or :args ((= @t4866 @t4868))) % 1.61/1.81 (step @p4164 :rule trans :premises (@p4163 @p4162)) % 1.61/1.81 (step @p4165 :rule symm :premises (@p4164)) % 1.61/1.81 (step @p4166 :rule cong :premises (@p4165) :args ((forall @t1137 (or @t4086 @t4870)))) % 1.61/1.81 (step @p4167 :rule trans :premises (@p4166 @p4160)) % 1.61/1.81 (step @p4168 :rule trans :premises (@p4167 @p4159)) % 1.61/1.81 (step @p4169 :rule refl :args (@t4870)) % 1.61/1.81 (step @p4170 :rule nary_cong :premises (@p2232 @p4169) :args (@t4871)) % 1.61/1.81 (step @p4171 :rule cong :premises (@p4170) :args ((forall @t1137 @t4871))) % 1.61/1.81 (step @p4172 :rule trans :premises (@p4171 @p4168)) % 1.61/1.81 (step @p4173 :rule bool-impl-elim :args (@t1136 @t4870)) % 1.61/1.81 (step @p4174 :rule cong :premises (@p4173) :args ((forall @t1137 (=> @t1136 @t4870)))) % 1.61/1.81 (step @p4175 :rule trans :premises (@p4174 @p4172)) % 1.61/1.81 (step @p4176 :rule cong :premises (@p3672) :args (@t1225)) % 1.61/1.81 (step @p4177 :rule nary_cong :premises (@p883 @p3666 @p4176) :args (@t4872)) % 1.61/1.81 (step @p4178 :rule cong :premises (@p4177) :args ((forall @t9 @t4872))) % 1.61/1.81 (step @p4179 :rule aci_norm :args ((= (or @t197 (or @t1325 @t1225)) @t4872))) % 1.61/1.81 (step @p4180 :rule refl :args (@t1225)) % 1.61/1.81 (step @p4181 :rule bool-double-not-elim :args (@t1325)) % 1.61/1.81 (step @p4182 :rule nary_cong :premises (@p4181 @p4180) :args ((or @t4873 @t1225))) % 1.61/1.81 (step @p4183 :rule bool-impl-elim :args (@t1326 @t1225)) % 1.61/1.81 (step @p4184 :rule trans :premises (@p4183 @p4182)) % 1.61/1.81 (step @p4185 :rule nary_cong :premises (@p3166 @p4184) :args ((or @t197 @t1334))) % 1.61/1.81 (step @p4186 :rule trans :premises (@p4185 @p4179)) % 1.61/1.81 (step @p4187 :rule bool-impl-elim :args (@t7 @t1334)) % 1.61/1.81 (step @p4188 :rule trans :premises (@p4187 @p4186)) % 1.61/1.81 (step @p4189 :rule cong :premises (@p4188) :args (@t1335)) % 1.61/1.81 (step @p4190 :rule trans :premises (@p4189 @p4178)) % 1.61/1.81 (step @p4191 :rule cong :premises (@p2423 @p4190) :args (@t1336)) % 1.61/1.81 (step @p4192 :rule cong :premises (@p4191) :args (@t1337)) % 1.61/1.81 (step @p4193 :rule trans :premises (@p4192 @p4175)) % 1.61/1.81 (step @p4194 :rule cong :premises (@p2238 @p4193) :args (@t1338)) % 1.61/1.81 (step @p4195 :rule cong :premises (@p4194) :args (@t1339)) % 1.61/1.81 (step @p4196 :rule trans :premises (@p4195 @p4157)) % 1.61/1.81 (step @p4197 :rule refl :args (tptp.binunionTIRcontra)) % 1.61/1.81 (step @p4198 :rule cong :premises (@p4197 @p4196) :args (@t1340)) % 1.61/1.81 (step @p4199 :rule eq_resolve :premises (@p256 @p4198)) % 1.61/1.81 (step @p4200 :rule cong :premises (@p4199 @p4139) :args (@t4874)) % 1.61/1.81 (step @p4201 :rule aci_norm :args ((= @t4876 @t2399))) % 1.61/1.81 (step @p4202 :rule cong :premises (@p4201) :args (@t4877)) % 1.61/1.81 (step @p4203 :rule quant-merge-prenex :args ((= (forall @t1141 @t4879) @t4877))) % 1.61/1.81 (step @p4204 :rule alpha_equiv :args (@t4880 (@list @t2395 @t2393) (@list @t1131 @t4881))) % 1.61/1.81 (step @p4205 :rule nary_cong :premises (@p2143 @p4204) :args (@t4882)) % 1.61/1.81 (step @p4206 :rule quant-miniscope-or :args ((= @t4879 @t4882))) % 1.61/1.81 (step @p4207 :rule trans :premises (@p4206 @p4205)) % 1.61/1.81 (step @p4208 :rule symm :premises (@p4207)) % 1.61/1.81 (step @p4209 :rule cong :premises (@p4208) :args ((forall @t1141 (or @t2184 @t4888)))) % 1.61/1.81 (step @p4210 :rule trans :premises (@p4209 @p4203)) % 1.61/1.81 (step @p4211 :rule trans :premises (@p4210 @p4202)) % 1.61/1.81 (step @p4212 :rule refl :args (@t4888)) % 1.61/1.81 (step @p4213 :rule nary_cong :premises (@p2169 @p4212) :args (@t4889)) % 1.61/1.81 (step @p4214 :rule cong :premises (@p4213) :args ((forall @t1141 @t4889))) % 1.61/1.81 (step @p4215 :rule trans :premises (@p4214 @p4211)) % 1.61/1.81 (step @p4216 :rule bool-impl-elim :args (@t1139 @t4888)) % 1.61/1.81 (step @p4217 :rule cong :premises (@p4216) :args ((forall @t1141 (=> @t1139 @t4888)))) % 1.61/1.81 (step @p4218 :rule trans :premises (@p4217 @p4215)) % 1.61/1.81 (step @p4219 :rule aci_norm :args ((= @t4891 @t4886))) % 1.61/1.81 (step @p4220 :rule cong :premises (@p4219) :args (@t4892)) % 1.61/1.81 (step @p4221 :rule quant-merge-prenex :args ((= (forall @t1137 @t4894) @t4892))) % 1.61/1.81 (step @p4222 :rule alpha_equiv :args (@t4895 (@list @t4881) @t3992)) % 1.61/1.81 (step @p4223 :rule nary_cong :premises (@p2340 @p4222) :args (@t4896)) % 1.61/1.81 (step @p4224 :rule quant-miniscope-or :args ((= @t4894 @t4896))) % 1.61/1.81 (step @p4225 :rule trans :premises (@p4224 @p4223)) % 1.61/1.81 (step @p4226 :rule symm :premises (@p4225)) % 1.61/1.81 (step @p4227 :rule cong :premises (@p4226) :args ((forall @t1137 (or @t4086 @t4897)))) % 1.61/1.81 (step @p4228 :rule trans :premises (@p4227 @p4221)) % 1.61/1.81 (step @p4229 :rule trans :premises (@p4228 @p4220)) % 1.61/1.81 (step @p4230 :rule refl :args (@t4897)) % 1.61/1.81 (step @p4231 :rule nary_cong :premises (@p2232 @p4230) :args (@t4898)) % 1.61/1.81 (step @p4232 :rule cong :premises (@p4231) :args ((forall @t1137 @t4898))) % 1.61/1.81 (step @p4233 :rule trans :premises (@p4232 @p4229)) % 1.61/1.81 (step @p4234 :rule bool-impl-elim :args (@t1136 @t4897)) % 1.61/1.81 (step @p4235 :rule cong :premises (@p4234) :args ((forall @t1137 (=> @t1136 @t4897)))) % 1.61/1.81 (step @p4236 :rule trans :premises (@p4235 @p4233)) % 1.61/1.81 (step @p4237 :rule nary_cong :premises (@p883 @p3666 @p3854) :args (@t4899)) % 1.61/1.81 (step @p4238 :rule cong :premises (@p4237) :args ((forall @t9 @t4899))) % 1.61/1.81 (step @p4239 :rule aci_norm :args ((= (or @t197 (or @t1325 @t1217)) @t4899))) % 1.61/1.81 (step @p4240 :rule refl :args (@t1217)) % 1.61/1.81 (step @p4241 :rule nary_cong :premises (@p4181 @p4240) :args ((or @t4873 @t1217))) % 1.61/1.81 (step @p4242 :rule bool-impl-elim :args (@t1326 @t1217)) % 1.61/1.81 (step @p4243 :rule trans :premises (@p4242 @p4241)) % 1.61/1.81 (step @p4244 :rule nary_cong :premises (@p3166 @p4243) :args ((or @t197 @t1327))) % 1.61/1.81 (step @p4245 :rule trans :premises (@p4244 @p4239)) % 1.61/1.81 (step @p4246 :rule bool-impl-elim :args (@t7 @t1327)) % 1.61/1.81 (step @p4247 :rule trans :premises (@p4246 @p4245)) % 1.61/1.81 (step @p4248 :rule cong :premises (@p4247) :args (@t1328)) % 1.61/1.81 (step @p4249 :rule trans :premises (@p4248 @p4238)) % 1.61/1.81 (step @p4250 :rule cong :premises (@p2423 @p4249) :args (@t1329)) % 1.61/1.81 (step @p4251 :rule cong :premises (@p4250) :args (@t1330)) % 1.61/1.81 (step @p4252 :rule trans :premises (@p4251 @p4236)) % 1.61/1.81 (step @p4253 :rule cong :premises (@p2238 @p4252) :args (@t1331)) % 1.61/1.81 (step @p4254 :rule cong :premises (@p4253) :args (@t1332)) % 1.61/1.81 (step @p4255 :rule trans :premises (@p4254 @p4218)) % 1.61/1.81 (step @p4256 :rule refl :args (tptp.binunionTILcontra)) % 1.61/1.81 (step @p4257 :rule cong :premises (@p4256 @p4255) :args (@t1333)) % 1.61/1.81 (step @p4258 :rule eq_resolve :premises (@p255 @p4257)) % 1.61/1.81 (step @p4259 :rule cong :premises (@p4258 @p4200) :args (@t4900)) % 1.61/1.81 (step @p4260 :rule refl :args (tptp.complementTcontraSubset)) % 1.61/1.81 (step @p4261 :rule cong :premises (@p4260 @p2309) :args (@t1324)) % 1.61/1.81 (step @p4262 :rule eq_resolve :premises (@p254 @p4261)) % 1.61/1.81 (step @p4263 :rule cong :premises (@p4262 @p4259) :args (@t4901)) % 1.61/1.81 (step @p4264 :rule aci_norm :args ((= @t4903 @t2408))) % 1.61/1.81 (step @p4265 :rule cong :premises (@p4264) :args (@t4904)) % 1.61/1.81 (step @p4266 :rule quant-merge-prenex :args ((= (forall @t1141 @t4906) @t4904))) % 1.61/1.81 (step @p4267 :rule alpha_equiv :args (@t4907 (@list @t2403 @t2401) (@list @t1131 @t4908))) % 1.61/1.81 (step @p4268 :rule nary_cong :premises (@p2143 @p4267) :args (@t4909)) % 1.61/1.81 (step @p4269 :rule quant-miniscope-or :args ((= @t4906 @t4909))) % 1.61/1.81 (step @p4270 :rule trans :premises (@p4269 @p4268)) % 1.61/1.81 (step @p4271 :rule symm :premises (@p4270)) % 1.61/1.81 (step @p4272 :rule cong :premises (@p4271) :args ((forall @t1141 (or @t2184 @t4915)))) % 1.61/1.81 (step @p4273 :rule trans :premises (@p4272 @p4266)) % 1.61/1.81 (step @p4274 :rule trans :premises (@p4273 @p4265)) % 1.61/1.81 (step @p4275 :rule refl :args (@t4915)) % 1.61/1.81 (step @p4276 :rule nary_cong :premises (@p2169 @p4275) :args (@t4916)) % 1.61/1.81 (step @p4277 :rule cong :premises (@p4276) :args ((forall @t1141 @t4916))) % 1.61/1.81 (step @p4278 :rule trans :premises (@p4277 @p4274)) % 1.61/1.81 (step @p4279 :rule bool-impl-elim :args (@t1139 @t4915)) % 1.61/1.81 (step @p4280 :rule cong :premises (@p4279) :args ((forall @t1141 (=> @t1139 @t4915)))) % 1.61/1.81 (step @p4281 :rule trans :premises (@p4280 @p4278)) % 1.61/1.81 (step @p4282 :rule aci_norm :args ((= @t4918 @t4913))) % 1.61/1.81 (step @p4283 :rule cong :premises (@p4282) :args (@t4919)) % 1.61/1.81 (step @p4284 :rule quant-merge-prenex :args ((= (forall @t1137 @t4921) @t4919))) % 1.61/1.81 (step @p4285 :rule alpha_equiv :args (@t4922 (@list @t4908) @t3992)) % 1.61/1.81 (step @p4286 :rule refl :args (@t4103)) % 1.61/1.81 (step @p4287 :rule nary_cong :premises (@p2340 @p4286 @p4285) :args (@t4923)) % 1.61/1.81 (step @p4288 :rule quant-miniscope-or :args ((= @t4921 @t4923))) % 1.61/1.81 (step @p4289 :rule trans :premises (@p4288 @p4287)) % 1.61/1.81 (step @p4290 :rule symm :premises (@p4289)) % 1.61/1.81 (step @p4291 :rule cong :premises (@p4290) :args ((forall @t1137 (or @t4086 @t4103 @t4924)))) % 1.61/1.81 (step @p4292 :rule trans :premises (@p4291 @p4284)) % 1.61/1.81 (step @p4293 :rule trans :premises (@p4292 @p4283)) % 1.61/1.81 (step @p4294 :rule refl :args (@t4924)) % 1.61/1.81 (step @p4295 :rule nary_cong :premises (@p2232 @p2295 @p4294) :args (@t4925)) % 1.61/1.81 (step @p4296 :rule cong :premises (@p4295) :args ((forall @t1137 @t4925))) % 1.61/1.81 (step @p4297 :rule trans :premises (@p4296 @p4293)) % 1.61/1.81 (step @p4298 :rule aci_norm :args ((= (or @t4090 (or @t4106 @t4924)) @t4925))) % 1.61/1.81 (step @p4299 :rule bool-impl-elim :args (@t1235 @t4924)) % 1.61/1.81 (step @p4300 :rule nary_cong :premises (@p2300 @p4299) :args ((or @t4090 @t4926))) % 1.61/1.81 (step @p4301 :rule trans :premises (@p4300 @p4298)) % 1.61/1.81 (step @p4302 :rule bool-impl-elim :args (@t1136 @t4926)) % 1.61/1.81 (step @p4303 :rule trans :premises (@p4302 @p4301)) % 1.61/1.81 (step @p4304 :rule cong :premises (@p4303) :args ((forall @t1137 (=> @t1136 @t4926)))) % 1.61/1.81 (step @p4305 :rule trans :premises (@p4304 @p4297)) % 1.61/1.81 (step @p4306 :rule nary_cong :premises (@p883 @p4176 @p3239) :args (@t4927)) % 1.61/1.81 (step @p4307 :rule cong :premises (@p4306) :args ((forall @t9 @t4927))) % 1.61/1.81 (step @p4308 :rule aci_norm :args ((= (or @t197 (or @t1225 @t1203)) @t4927))) % 1.61/1.81 (step @p4309 :rule bool-impl-elim :args (@t1168 @t1203)) % 1.61/1.81 (step @p4310 :rule nary_cong :premises (@p3166 @p4309) :args ((or @t197 @t1310))) % 1.61/1.81 (step @p4311 :rule trans :premises (@p4310 @p4308)) % 1.61/1.81 (step @p4312 :rule bool-impl-elim :args (@t7 @t1310)) % 1.61/1.81 (step @p4313 :rule trans :premises (@p4312 @p4311)) % 1.61/1.81 (step @p4314 :rule cong :premises (@p4313) :args (@t1311)) % 1.61/1.81 (step @p4315 :rule trans :premises (@p4314 @p4307)) % 1.61/1.81 (step @p4316 :rule refl :args (@t1235)) % 1.61/1.81 (step @p4317 :rule cong :premises (@p4316 @p4315) :args (@t1312)) % 1.61/1.81 (step @p4318 :rule cong :premises (@p2423 @p4317) :args (@t1313)) % 1.61/1.81 (step @p4319 :rule cong :premises (@p4318) :args (@t1314)) % 1.61/1.81 (step @p4320 :rule trans :premises (@p4319 @p4305)) % 1.61/1.81 (step @p4321 :rule cong :premises (@p2238 @p4320) :args (@t1315)) % 1.61/1.81 (step @p4322 :rule cong :premises (@p4321) :args (@t1316)) % 1.61/1.81 (step @p4323 :rule trans :premises (@p4322 @p4281)) % 1.61/1.81 (step @p4324 :rule refl :args (tptp.contraSubsetComplement)) % 1.61/1.81 (step @p4325 :rule cong :premises (@p4324 @p4323) :args (@t1317)) % 1.61/1.81 (step @p4326 :rule eq_resolve :premises (@p253 @p4325)) % 1.61/1.81 (step @p4327 :rule cong :premises (@p4326 @p4263) :args (@t4928)) % 1.61/1.81 (step @p4328 :rule refl :args (tptp.complementInPowersetComplementIntersect)) % 1.61/1.81 (step @p4329 :rule cong :premises (@p4328 @p2657) :args (@t1309)) % 1.61/1.81 (step @p4330 :rule eq_resolve :premises (@p252 @p4329)) % 1.61/1.81 (step @p4331 :rule cong :premises (@p4330 @p4327) :args (@t4929)) % 1.61/1.81 (step @p4332 :rule aci_norm :args ((= @t4931 @t2413))) % 1.61/1.81 (step @p4333 :rule cong :premises (@p4332) :args (@t4932)) % 1.61/1.81 (step @p4334 :rule quant-merge-prenex :args ((= (forall @t1141 @t4934) @t4932))) % 1.61/1.81 (step @p4335 :rule alpha_equiv :args (@t4935 (@list @t2410) @t4080)) % 1.61/1.81 (step @p4336 :rule nary_cong :premises (@p2143 @p4335) :args (@t4936)) % 1.61/1.81 (step @p4337 :rule quant-miniscope-or :args ((= @t4934 @t4936))) % 1.61/1.81 (step @p4338 :rule trans :premises (@p4337 @p4336)) % 1.61/1.81 (step @p4339 :rule symm :premises (@p4338)) % 1.61/1.81 (step @p4340 :rule cong :premises (@p4339) :args ((forall @t1141 (or @t2184 @t4938)))) % 1.61/1.81 (step @p4341 :rule trans :premises (@p4340 @p4334)) % 1.61/1.81 (step @p4342 :rule trans :premises (@p4341 @p4333)) % 1.61/1.81 (step @p4343 :rule refl :args (@t4938)) % 1.61/1.81 (step @p4344 :rule nary_cong :premises (@p2169 @p4343) :args (@t4939)) % 1.61/1.81 (step @p4345 :rule cong :premises (@p4344) :args ((forall @t1141 @t4939))) % 1.61/1.81 (step @p4346 :rule trans :premises (@p4345 @p4342)) % 1.61/1.81 (step @p4347 :rule bool-impl-elim :args (@t1139 @t4938)) % 1.61/1.81 (step @p4348 :rule cong :premises (@p4347) :args ((forall @t1141 (=> @t1139 @t4938)))) % 1.61/1.81 (step @p4349 :rule trans :premises (@p4348 @p4346)) % 1.61/1.81 (step @p4350 :rule refl :args ((tptp.subset @t1162 @t1290))) % 1.61/1.81 (step @p4351 :rule cong :premises (@p2178 @p2622) :args (@t4937)) % 1.61/1.81 (step @p4352 :rule trans :premises (@p4351 @p4350)) % 1.61/1.81 (step @p4353 :rule ho_cong :premises (@p2731 @p2178)) % 1.61/1.81 (step @p4354 :rule ho_cong :premises (@p4353 @p2622)) % 1.61/1.81 (step @p4355 :rule cong :premises (@p4354 @p4352) :args ((= (_ (_ tptp.subset @t2177) @t4205) @t4937))) % 1.61/1.81 (step @p4356 :rule symm :premises (@p4355)) % 1.61/1.81 (step @p4357 :rule refl :args (@t1299)) % 1.61/1.81 (step @p4358 :rule eq_resolve :premises (@p4357 @p4356)) % 1.61/1.81 (step @p4359 :rule ho_cong :premises (@p2731 @p2202)) % 1.61/1.81 (step @p4360 :rule ho_cong :premises (@p4359 @p2644)) % 1.61/1.81 (step @p4361 :rule trans :premises (@p4360 @p4358)) % 1.61/1.81 (step @p4362 :rule nary_cong :premises (@p2232 @p4361) :args (@t4940)) % 1.61/1.81 (step @p4363 :rule cong :premises (@p4362) :args ((forall @t1137 @t4940))) % 1.61/1.81 (step @p4364 :rule bool-impl-elim :args (@t1136 @t1299)) % 1.61/1.81 (step @p4365 :rule cong :premises (@p4364) :args (@t1300)) % 1.61/1.81 (step @p4366 :rule trans :premises (@p4365 @p4363)) % 1.61/1.81 (step @p4367 :rule cong :premises (@p2238 @p4366) :args (@t1301)) % 1.61/1.81 (step @p4368 :rule cong :premises (@p4367) :args (@t1302)) % 1.61/1.81 (step @p4369 :rule trans :premises (@p4368 @p4349)) % 1.61/1.81 (step @p4370 :rule refl :args (tptp.complementSubsetComplementIntersect)) % 1.61/1.81 (step @p4371 :rule cong :premises (@p4370 @p4369) :args (@t1303)) % 1.61/1.81 (step @p4372 :rule eq_resolve :premises (@p251 @p4371)) % 1.61/1.81 (step @p4373 :rule cong :premises (@p4372 @p4331) :args (@t4941)) % 1.61/1.81 (step @p4374 :rule aci_norm :args ((= @t4943 @t2421))) % 1.61/1.81 (step @p4375 :rule cong :premises (@p4374) :args (@t4944)) % 1.61/1.81 (step @p4376 :rule quant-merge-prenex :args ((= (forall @t1141 @t4946) @t4944))) % 1.61/1.81 (step @p4377 :rule alpha_equiv :args (@t4947 (@list @t2415 @t2416) (@list @t1131 @t4948))) % 1.61/1.81 (step @p4378 :rule nary_cong :premises (@p2143 @p4377) :args (@t4949)) % 1.61/1.81 (step @p4379 :rule quant-miniscope-or :args ((= @t4946 @t4949))) % 1.61/1.81 (step @p4380 :rule trans :premises (@p4379 @p4378)) % 1.61/1.81 (step @p4381 :rule symm :premises (@p4380)) % 1.61/1.81 (step @p4382 :rule cong :premises (@p4381) :args ((forall @t1141 (or @t2184 @t4955)))) % 1.61/1.81 (step @p4383 :rule trans :premises (@p4382 @p4376)) % 1.61/1.81 (step @p4384 :rule trans :premises (@p4383 @p4375)) % 1.61/1.81 (step @p4385 :rule refl :args (@t4955)) % 1.61/1.81 (step @p4386 :rule nary_cong :premises (@p2169 @p4385) :args (@t4956)) % 1.61/1.81 (step @p4387 :rule cong :premises (@p4386) :args ((forall @t1141 @t4956))) % 1.61/1.81 (step @p4388 :rule trans :premises (@p4387 @p4384)) % 1.61/1.81 (step @p4389 :rule bool-impl-elim :args (@t1139 @t4955)) % 1.61/1.81 (step @p4390 :rule cong :premises (@p4389) :args ((forall @t1141 (=> @t1139 @t4955)))) % 1.61/1.81 (step @p4391 :rule trans :premises (@p4390 @p4388)) % 1.61/1.81 (step @p4392 :rule aci_norm :args ((= @t4958 @t4953))) % 1.61/1.81 (step @p4393 :rule cong :premises (@p4392) :args (@t4959)) % 1.61/1.81 (step @p4394 :rule quant-merge-prenex :args ((= (forall @t1137 @t4961) @t4959))) % 1.61/1.81 (step @p4395 :rule alpha_equiv :args (@t4962 (@list @t4948) @t3992)) % 1.61/1.81 (step @p4396 :rule nary_cong :premises (@p2340 @p4395) :args (@t4963)) % 1.61/1.81 (step @p4397 :rule quant-miniscope-or :args ((= @t4961 @t4963))) % 1.61/1.81 (step @p4398 :rule trans :premises (@p4397 @p4396)) % 1.61/1.81 (step @p4399 :rule symm :premises (@p4398)) % 1.61/1.81 (step @p4400 :rule cong :premises (@p4399) :args ((forall @t1137 (or @t4086 @t4964)))) % 1.61/1.81 (step @p4401 :rule trans :premises (@p4400 @p4394)) % 1.61/1.81 (step @p4402 :rule trans :premises (@p4401 @p4393)) % 1.61/1.81 (step @p4403 :rule refl :args (@t4964)) % 1.61/1.81 (step @p4404 :rule nary_cong :premises (@p2232 @p4403) :args (@t4965)) % 1.61/1.81 (step @p4405 :rule cong :premises (@p4404) :args ((forall @t1137 @t4965))) % 1.61/1.81 (step @p4406 :rule trans :premises (@p4405 @p4402)) % 1.61/1.81 (step @p4407 :rule bool-impl-elim :args (@t1136 @t4964)) % 1.61/1.81 (step @p4408 :rule cong :premises (@p4407) :args ((forall @t1137 (=> @t1136 @t4964)))) % 1.61/1.81 (step @p4409 :rule trans :premises (@p4408 @p4406)) % 1.61/1.81 (step @p4410 :rule nary_cong :premises (@p883 @p3240 @p3412) :args (@t4966)) % 1.61/1.81 (step @p4411 :rule cong :premises (@p4410) :args ((forall @t9 @t4966))) % 1.61/1.81 (step @p4412 :rule aci_norm :args ((= (or @t197 (or @t1204 @t1291)) @t4966))) % 1.61/1.81 (step @p4413 :rule bool-impl-elim :args (@t1203 @t1291)) % 1.61/1.81 (step @p4414 :rule nary_cong :premises (@p3166 @p4413) :args ((or @t197 @t1292))) % 1.61/1.81 (step @p4415 :rule trans :premises (@p4414 @p4412)) % 1.61/1.81 (step @p4416 :rule bool-impl-elim :args (@t7 @t1292)) % 1.61/1.81 (step @p4417 :rule trans :premises (@p4416 @p4415)) % 1.61/1.81 (step @p4418 :rule cong :premises (@p4417) :args (@t1293)) % 1.61/1.81 (step @p4419 :rule trans :premises (@p4418 @p4411)) % 1.61/1.81 (step @p4420 :rule cong :premises (@p2423 @p4419) :args (@t1294)) % 1.61/1.81 (step @p4421 :rule cong :premises (@p4420) :args (@t1295)) % 1.61/1.81 (step @p4422 :rule trans :premises (@p4421 @p4409)) % 1.61/1.81 (step @p4423 :rule cong :premises (@p2238 @p4422) :args (@t1296)) % 1.61/1.81 (step @p4424 :rule cong :premises (@p4423) :args (@t1297)) % 1.61/1.81 (step @p4425 :rule trans :premises (@p4424 @p4391)) % 1.61/1.81 (step @p4426 :rule refl :args (tptp.complementImpComplementIntersect)) % 1.61/1.81 (step @p4427 :rule cong :premises (@p4426 @p4425) :args (@t1298)) % 1.61/1.81 (step @p4428 :rule eq_resolve :premises (@p250 @p4427)) % 1.61/1.81 (step @p4429 :rule cong :premises (@p4428 @p4373) :args (@t4967)) % 1.61/1.81 (step @p4430 :rule aci_norm :args ((= @t4969 @t2429))) % 1.61/1.81 (step @p4431 :rule cong :premises (@p4430) :args (@t4970)) % 1.61/1.81 (step @p4432 :rule quant-merge-prenex :args ((= (forall @t1141 @t4972) @t4970))) % 1.61/1.81 (step @p4433 :rule alpha_equiv :args (@t4973 (@list @t2423 @t2424) (@list @t1131 @t4974))) % 1.61/1.81 (step @p4434 :rule nary_cong :premises (@p2143 @p4433) :args (@t4975)) % 1.61/1.81 (step @p4435 :rule quant-miniscope-or :args ((= @t4972 @t4975))) % 1.61/1.81 (step @p4436 :rule trans :premises (@p4435 @p4434)) % 1.61/1.81 (step @p4437 :rule symm :premises (@p4436)) % 1.61/1.81 (step @p4438 :rule cong :premises (@p4437) :args ((forall @t1141 (or @t2184 @t4981)))) % 1.61/1.81 (step @p4439 :rule trans :premises (@p4438 @p4432)) % 1.61/1.81 (step @p4440 :rule trans :premises (@p4439 @p4431)) % 1.61/1.81 (step @p4441 :rule refl :args (@t4981)) % 1.61/1.81 (step @p4442 :rule nary_cong :premises (@p2169 @p4441) :args (@t4982)) % 1.61/1.81 (step @p4443 :rule cong :premises (@p4442) :args ((forall @t1141 @t4982))) % 1.61/1.81 (step @p4444 :rule trans :premises (@p4443 @p4440)) % 1.61/1.81 (step @p4445 :rule bool-impl-elim :args (@t1139 @t4981)) % 1.61/1.81 (step @p4446 :rule cong :premises (@p4445) :args ((forall @t1141 (=> @t1139 @t4981)))) % 1.61/1.81 (step @p4447 :rule trans :premises (@p4446 @p4444)) % 1.61/1.81 (step @p4448 :rule aci_norm :args ((= @t4984 @t4979))) % 1.61/1.81 (step @p4449 :rule cong :premises (@p4448) :args (@t4985)) % 1.61/1.81 (step @p4450 :rule quant-merge-prenex :args ((= (forall @t1137 @t4987) @t4985))) % 1.61/1.81 (step @p4451 :rule alpha_equiv :args (@t4988 (@list @t4974) @t3992)) % 1.61/1.81 (step @p4452 :rule nary_cong :premises (@p2340 @p4451) :args (@t4989)) % 1.61/1.81 (step @p4453 :rule quant-miniscope-or :args ((= @t4987 @t4989))) % 1.61/1.81 (step @p4454 :rule trans :premises (@p4453 @p4452)) % 1.61/1.81 (step @p4455 :rule symm :premises (@p4454)) % 1.61/1.81 (step @p4456 :rule cong :premises (@p4455) :args ((forall @t1137 (or @t4086 @t4990)))) % 1.61/1.81 (step @p4457 :rule trans :premises (@p4456 @p4450)) % 1.61/1.81 (step @p4458 :rule trans :premises (@p4457 @p4449)) % 1.61/1.81 (step @p4459 :rule refl :args (@t4990)) % 1.61/1.81 (step @p4460 :rule nary_cong :premises (@p2232 @p4459) :args (@t4991)) % 1.61/1.81 (step @p4461 :rule cong :premises (@p4460) :args ((forall @t1137 @t4991))) % 1.61/1.81 (step @p4462 :rule trans :premises (@p4461 @p4458)) % 1.61/1.81 (step @p4463 :rule bool-impl-elim :args (@t1136 @t4990)) % 1.61/1.81 (step @p4464 :rule cong :premises (@p4463) :args ((forall @t1137 (=> @t1136 @t4990)))) % 1.61/1.81 (step @p4465 :rule trans :premises (@p4464 @p4462)) % 1.61/1.81 (step @p4466 :rule nary_cong :premises (@p883 @p3240 @p3058) :args (@t4992)) % 1.61/1.81 (step @p4467 :rule cong :premises (@p4466) :args ((forall @t9 @t4992))) % 1.61/1.81 (step @p4468 :rule aci_norm :args ((= (or @t197 (or @t1204 @t1216)) @t4992))) % 1.61/1.81 (step @p4469 :rule bool-impl-elim :args (@t1203 @t1216)) % 1.61/1.81 (step @p4470 :rule nary_cong :premises (@p3166 @p4469) :args ((or @t197 @t1283))) % 1.61/1.81 (step @p4471 :rule trans :premises (@p4470 @p4468)) % 1.61/1.81 (step @p4472 :rule bool-impl-elim :args (@t7 @t1283)) % 1.61/1.81 (step @p4473 :rule trans :premises (@p4472 @p4471)) % 1.61/1.81 (step @p4474 :rule cong :premises (@p4473) :args (@t1284)) % 1.61/1.81 (step @p4475 :rule trans :premises (@p4474 @p4467)) % 1.61/1.81 (step @p4476 :rule cong :premises (@p2423 @p4475) :args (@t1285)) % 1.61/1.81 (step @p4477 :rule cong :premises (@p4476) :args (@t1286)) % 1.61/1.81 (step @p4478 :rule trans :premises (@p4477 @p4465)) % 1.61/1.81 (step @p4479 :rule cong :premises (@p2238 @p4478) :args (@t1287)) % 1.61/1.81 (step @p4480 :rule cong :premises (@p4479) :args (@t1288)) % 1.61/1.81 (step @p4481 :rule trans :premises (@p4480 @p4447)) % 1.61/1.81 (step @p4482 :rule refl :args (tptp.complementTnotintersectT)) % 1.61/1.81 (step @p4483 :rule cong :premises (@p4482 @p4481) :args (@t1289)) % 1.61/1.81 (step @p4484 :rule eq_resolve :premises (@p249 @p4483)) % 1.61/1.81 (step @p4485 :rule cong :premises (@p4484 @p4429) :args (@t4993)) % 1.61/1.81 (step @p4486 :rule refl :args ((tptp.setminus @t2 @t1162))) % 1.61/1.81 (step @p4487 :rule cong :premises (@p1066 @p2178) :args (@t2431)) % 1.61/1.81 (step @p4488 :rule trans :premises (@p4487 @p4486)) % 1.61/1.81 (step @p4489 :rule ho_cong :premises (@p2205 @p2178)) % 1.61/1.81 (step @p4490 :rule cong :premises (@p4489 @p4488) :args ((= (_ @t567 @t2177) @t2431))) % 1.61/1.81 (step @p4491 :rule symm :premises (@p4490)) % 1.61/1.81 (step @p4492 :rule refl :args (@t1262)) % 1.61/1.81 (step @p4493 :rule eq_resolve :premises (@p4492 @p4491)) % 1.61/1.81 (step @p4494 :rule ho_cong :premises (@p2205 @p2202)) % 1.61/1.81 (step @p4495 :rule trans :premises (@p4494 @p4493)) % 1.61/1.81 (step @p4496 :rule cong :premises (@p2154 @p4495) :args (@t1280)) % 1.61/1.81 (step @p4497 :rule nary_cong :premises (@p2169 @p4496) :args (@t4994)) % 1.61/1.81 (step @p4498 :rule cong :premises (@p4497) :args ((forall @t1141 @t4994))) % 1.61/1.81 (step @p4499 :rule bool-impl-elim :args (@t1139 @t1280)) % 1.61/1.81 (step @p4500 :rule cong :premises (@p4499) :args (@t1281)) % 1.61/1.81 (step @p4501 :rule trans :premises (@p4500 @p4498)) % 1.61/1.81 (step @p4502 :rule refl :args (tptp.doubleComplementEq)) % 1.61/1.81 (step @p4503 :rule cong :premises (@p4502 @p4501) :args (@t1282)) % 1.61/1.81 (step @p4504 :rule eq_resolve :premises (@p248 @p4503)) % 1.61/1.81 (step @p4505 :rule cong :premises (@p4504 @p4485) :args (@t4995)) % 1.61/1.81 (step @p4506 :rule refl :args ((tptp.subset @t1262 @t695))) % 1.61/1.81 (step @p4507 :rule cong :premises (@p4488 @p2154) :args (@t2432)) % 1.61/1.81 (step @p4508 :rule trans :premises (@p4507 @p4506)) % 1.61/1.81 (step @p4509 :rule ho_cong :premises (@p2731 @p4488)) % 1.61/1.81 (step @p4510 :rule ho_cong :premises (@p4509 @p2154)) % 1.61/1.81 (step @p4511 :rule cong :premises (@p4510 @p4508) :args ((= (_ (_ tptp.subset @t2431) @t695) @t2432))) % 1.61/1.81 (step @p4512 :rule symm :premises (@p4511)) % 1.61/1.81 (step @p4513 :rule refl :args (@t1277)) % 1.61/1.81 (step @p4514 :rule eq_resolve :premises (@p4513 @p4512)) % 1.61/1.81 (step @p4515 :rule ho_cong :premises (@p2731 @p4495)) % 1.61/1.81 (step @p4516 :rule ho_cong :premises (@p4515 @p2154)) % 1.61/1.81 (step @p4517 :rule trans :premises (@p4516 @p4514)) % 1.61/1.81 (step @p4518 :rule nary_cong :premises (@p2169 @p4517) :args (@t4996)) % 1.61/1.81 (step @p4519 :rule cong :premises (@p4518) :args ((forall @t1141 @t4996))) % 1.61/1.81 (step @p4520 :rule bool-impl-elim :args (@t1139 @t1277)) % 1.61/1.81 (step @p4521 :rule cong :premises (@p4520) :args (@t1278)) % 1.61/1.81 (step @p4522 :rule trans :premises (@p4521 @p4519)) % 1.61/1.81 (step @p4523 :rule refl :args (tptp.doubleComplementSub2)) % 1.61/1.81 (step @p4524 :rule cong :premises (@p4523 @p4522) :args (@t1279)) % 1.61/1.81 (step @p4525 :rule eq_resolve :premises (@p247 @p4524)) % 1.61/1.81 (step @p4526 :rule cong :premises (@p4525 @p4505) :args (@t4997)) % 1.61/1.81 (step @p4527 :rule refl :args ((tptp.subset @t695 @t1262))) % 1.61/1.81 (step @p4528 :rule cong :premises (@p2154 @p4488) :args (@t2433)) % 1.61/1.81 (step @p4529 :rule trans :premises (@p4528 @p4527)) % 1.61/1.81 (step @p4530 :rule ho_cong :premises (@p2283 @p4488)) % 1.61/1.81 (step @p4531 :rule cong :premises (@p4530 @p4529) :args ((= (_ @t1180 @t2431) @t2433))) % 1.61/1.81 (step @p4532 :rule symm :premises (@p4531)) % 1.61/1.81 (step @p4533 :rule refl :args (@t1274)) % 1.61/1.81 (step @p4534 :rule eq_resolve :premises (@p4533 @p4532)) % 1.61/1.81 (step @p4535 :rule ho_cong :premises (@p2283 @p4495)) % 1.61/1.81 (step @p4536 :rule trans :premises (@p4535 @p4534)) % 1.61/1.81 (step @p4537 :rule nary_cong :premises (@p2169 @p4536) :args (@t4998)) % 1.61/1.81 (step @p4538 :rule cong :premises (@p4537) :args ((forall @t1141 @t4998))) % 1.61/1.81 (step @p4539 :rule bool-impl-elim :args (@t1139 @t1274)) % 1.61/1.81 (step @p4540 :rule cong :premises (@p4539) :args (@t1275)) % 1.61/1.81 (step @p4541 :rule trans :premises (@p4540 @p4538)) % 1.61/1.81 (step @p4542 :rule refl :args (tptp.doubleComplementSub1)) % 1.61/1.81 (step @p4543 :rule cong :premises (@p4542 @p4541) :args (@t1276)) % 1.61/1.81 (step @p4544 :rule eq_resolve :premises (@p246 @p4543)) % 1.61/1.81 (step @p4545 :rule cong :premises (@p4544 @p4526) :args (@t4999)) % 1.61/1.81 (step @p4546 :rule aci_norm :args ((= @t5001 @t2438))) % 1.61/1.81 (step @p4547 :rule cong :premises (@p4546) :args (@t5002)) % 1.61/1.81 (step @p4548 :rule quant-merge-prenex :args ((= (forall @t1141 @t5004) @t5002))) % 1.61/1.81 (step @p4549 :rule alpha_equiv :args (@t5005 (@list @t2434) @t3992)) % 1.61/1.81 (step @p4550 :rule nary_cong :premises (@p2143 @p4549) :args (@t5006)) % 1.61/1.81 (step @p4551 :rule quant-miniscope-or :args ((= @t5004 @t5006))) % 1.61/1.81 (step @p4552 :rule trans :premises (@p4551 @p4550)) % 1.61/1.81 (step @p4553 :rule symm :premises (@p4552)) % 1.61/1.81 (step @p4554 :rule cong :premises (@p4553) :args ((forall @t1141 (or @t2184 @t5008)))) % 1.61/1.81 (step @p4555 :rule trans :premises (@p4554 @p4548)) % 1.61/1.81 (step @p4556 :rule trans :premises (@p4555 @p4547)) % 1.61/1.81 (step @p4557 :rule refl :args (@t5008)) % 1.61/1.81 (step @p4558 :rule nary_cong :premises (@p2169 @p4557) :args (@t5009)) % 1.61/1.81 (step @p4559 :rule cong :premises (@p4558) :args ((forall @t1141 @t5009))) % 1.61/1.81 (step @p4560 :rule trans :premises (@p4559 @p4556)) % 1.61/1.81 (step @p4561 :rule bool-impl-elim :args (@t1139 @t5008)) % 1.61/1.81 (step @p4562 :rule cong :premises (@p4561) :args ((forall @t1141 (=> @t1139 @t5008)))) % 1.61/1.81 (step @p4563 :rule trans :premises (@p4562 @p4560)) % 1.61/1.81 (step @p4564 :rule refl :args ((tptp.in @t4 @t1262))) % 1.61/1.81 (step @p4565 :rule cong :premises (@p3047 @p4488) :args (@t5007)) % 1.61/1.81 (step @p4566 :rule trans :premises (@p4565 @p4564)) % 1.61/1.81 (step @p4567 :rule ho_cong :premises (@p3050 @p4488)) % 1.61/1.81 (step @p4568 :rule cong :premises (@p4567 @p4566) :args ((= (_ @t5 @t2431) @t5007))) % 1.61/1.81 (step @p4569 :rule symm :premises (@p4568)) % 1.61/1.81 (step @p4570 :rule refl :args (@t1263)) % 1.61/1.81 (step @p4571 :rule eq_resolve :premises (@p4570 @p4569)) % 1.61/1.81 (step @p4572 :rule ho_cong :premises (@p3050 @p4495)) % 1.61/1.81 (step @p4573 :rule trans :premises (@p4572 @p4571)) % 1.61/1.81 (step @p4574 :rule cong :premises (@p4573) :args (@t5010)) % 1.61/1.81 (step @p4575 :rule nary_cong :premises (@p883 @p4574 @p3677) :args (@t5011)) % 1.61/1.81 (step @p4576 :rule cong :premises (@p4575) :args ((forall @t9 @t5011))) % 1.61/1.81 (step @p4577 :rule aci_norm :args ((= (or @t197 (or @t5010 @t696)) @t5011))) % 1.61/1.81 (step @p4578 :rule bool-impl-elim :args (@t1263 @t696)) % 1.61/1.81 (step @p4579 :rule nary_cong :premises (@p3166 @p4578) :args ((or @t197 @t1269))) % 1.61/1.81 (step @p4580 :rule trans :premises (@p4579 @p4577)) % 1.61/1.81 (step @p4581 :rule bool-impl-elim :args (@t7 @t1269)) % 1.61/1.81 (step @p4582 :rule trans :premises (@p4581 @p4580)) % 1.61/1.81 (step @p4583 :rule cong :premises (@p4582) :args (@t1270)) % 1.61/1.81 (step @p4584 :rule trans :premises (@p4583 @p4576)) % 1.61/1.81 (step @p4585 :rule cong :premises (@p2238 @p4584) :args (@t1271)) % 1.61/1.81 (step @p4586 :rule cong :premises (@p4585) :args (@t1272)) % 1.61/1.81 (step @p4587 :rule trans :premises (@p4586 @p4563)) % 1.61/1.81 (step @p4588 :rule refl :args (tptp.doubleComplementE1)) % 1.61/1.81 (step @p4589 :rule cong :premises (@p4588 @p4587) :args (@t1273)) % 1.61/1.81 (step @p4590 :rule eq_resolve :premises (@p245 @p4589)) % 1.61/1.81 (step @p4591 :rule cong :premises (@p4590 @p4545) :args (@t5012)) % 1.61/1.81 (step @p4592 :rule aci_norm :args ((= @t5014 @t2444))) % 1.61/1.81 (step @p4593 :rule cong :premises (@p4592) :args (@t5015)) % 1.61/1.81 (step @p4594 :rule quant-merge-prenex :args ((= (forall @t1141 @t5017) @t5015))) % 1.61/1.81 (step @p4595 :rule alpha_equiv :args (@t5018 (@list @t2440) @t3992)) % 1.61/1.81 (step @p4596 :rule nary_cong :premises (@p2143 @p4595) :args (@t5019)) % 1.61/1.81 (step @p4597 :rule quant-miniscope-or :args ((= @t5017 @t5019))) % 1.61/1.81 (step @p4598 :rule trans :premises (@p4597 @p4596)) % 1.61/1.81 (step @p4599 :rule symm :premises (@p4598)) % 1.61/1.81 (step @p4600 :rule cong :premises (@p4599) :args ((forall @t1141 (or @t2184 @t5020)))) % 1.61/1.81 (step @p4601 :rule trans :premises (@p4600 @p4594)) % 1.61/1.81 (step @p4602 :rule trans :premises (@p4601 @p4593)) % 1.61/1.81 (step @p4603 :rule refl :args (@t5020)) % 1.61/1.81 (step @p4604 :rule nary_cong :premises (@p2169 @p4603) :args (@t5021)) % 1.61/1.81 (step @p4605 :rule cong :premises (@p4604) :args ((forall @t1141 @t5021))) % 1.61/1.81 (step @p4606 :rule trans :premises (@p4605 @p4602)) % 1.61/1.81 (step @p4607 :rule bool-impl-elim :args (@t1139 @t5020)) % 1.61/1.81 (step @p4608 :rule cong :premises (@p4607) :args ((forall @t1141 (=> @t1139 @t5020)))) % 1.61/1.81 (step @p4609 :rule trans :premises (@p4608 @p4606)) % 1.61/1.81 (step @p4610 :rule nary_cong :premises (@p883 @p3854 @p4573) :args (@t5022)) % 1.61/1.81 (step @p4611 :rule cong :premises (@p4610) :args ((forall @t9 @t5022))) % 1.61/1.81 (step @p4612 :rule aci_norm :args ((= (or @t197 (or @t1217 @t1263)) @t5022))) % 1.61/1.81 (step @p4613 :rule bool-impl-elim :args (@t696 @t1263)) % 1.61/1.81 (step @p4614 :rule nary_cong :premises (@p3166 @p4613) :args ((or @t197 @t1264))) % 1.61/1.81 (step @p4615 :rule trans :premises (@p4614 @p4612)) % 1.61/1.81 (step @p4616 :rule bool-impl-elim :args (@t7 @t1264)) % 1.61/1.81 (step @p4617 :rule trans :premises (@p4616 @p4615)) % 1.61/1.81 (step @p4618 :rule cong :premises (@p4617) :args (@t1265)) % 1.61/1.81 (step @p4619 :rule trans :premises (@p4618 @p4611)) % 1.61/1.81 (step @p4620 :rule cong :premises (@p2238 @p4619) :args (@t1266)) % 1.61/1.81 (step @p4621 :rule cong :premises (@p4620) :args (@t1267)) % 1.61/1.81 (step @p4622 :rule trans :premises (@p4621 @p4609)) % 1.61/1.81 (step @p4623 :rule refl :args (tptp.doubleComplementI1)) % 1.61/1.81 (step @p4624 :rule cong :premises (@p4623 @p4622) :args (@t1268)) % 1.61/1.81 (step @p4625 :rule eq_resolve :premises (@p244 @p4624)) % 1.61/1.81 (step @p4626 :rule cong :premises (@p4625 @p4591) :args (@t5023)) % 1.61/1.81 (step @p4627 :rule aci_norm :args ((= @t5025 @t2450))) % 1.61/1.81 (step @p4628 :rule cong :premises (@p4627) :args (@t5026)) % 1.61/1.81 (step @p4629 :rule quant-merge-prenex :args ((= (forall @t1141 @t5028) @t5026))) % 1.61/1.81 (step @p4630 :rule alpha_equiv :args (@t5029 (@list @t2446) @t4080)) % 1.61/1.81 (step @p4631 :rule nary_cong :premises (@p2143 @p4630) :args (@t5030)) % 1.61/1.81 (step @p4632 :rule quant-miniscope-or :args ((= @t5028 @t5030))) % 1.61/1.81 (step @p4633 :rule trans :premises (@p4632 @p4631)) % 1.61/1.81 (step @p4634 :rule symm :premises (@p4633)) % 1.61/1.81 (step @p4635 :rule cong :premises (@p4634) :args ((forall @t1141 (or @t2184 @t5032)))) % 1.61/1.81 (step @p4636 :rule trans :premises (@p4635 @p4629)) % 1.61/1.81 (step @p4637 :rule trans :premises (@p4636 @p4628)) % 1.61/1.81 (step @p4638 :rule refl :args (@t5032)) % 1.61/1.81 (step @p4639 :rule nary_cong :premises (@p2169 @p4638) :args (@t5033)) % 1.61/1.81 (step @p4640 :rule cong :premises (@p4639) :args ((forall @t1141 @t5033))) % 1.61/1.81 (step @p4641 :rule trans :premises (@p4640 @p4637)) % 1.61/1.81 (step @p4642 :rule bool-impl-elim :args (@t1139 @t5032)) % 1.61/1.81 (step @p4643 :rule cong :premises (@p4642) :args ((forall @t1141 (=> @t1139 @t5032)))) % 1.61/1.81 (step @p4644 :rule trans :premises (@p4643 @p4641)) % 1.61/1.81 (step @p4645 :rule refl :args ((tptp.subset @t1234 @t1162))) % 1.61/1.81 (step @p4646 :rule cong :premises (@p2280 @p2178) :args (@t5031)) % 1.61/1.81 (step @p4647 :rule trans :premises (@p4646 @p4645)) % 1.61/1.81 (step @p4648 :rule ho_cong :premises (@p2731 @p2280)) % 1.61/1.81 (step @p4649 :rule ho_cong :premises (@p4648 @p2178)) % 1.61/1.81 (step @p4650 :rule cong :premises (@p4649 @p4647) :args ((= (_ (_ tptp.subset @t4101) @t2177) @t5031))) % 1.61/1.81 (step @p4651 :rule symm :premises (@p4650)) % 1.61/1.81 (step @p4652 :rule refl :args (@t1251)) % 1.61/1.81 (step @p4653 :rule eq_resolve :premises (@p4652 @p4651)) % 1.61/1.81 (step @p4654 :rule ho_cong :premises (@p2731 @p2292)) % 1.61/1.81 (step @p4655 :rule ho_cong :premises (@p4654 @p2202)) % 1.61/1.81 (step @p4656 :rule trans :premises (@p4655 @p4653)) % 1.61/1.81 (step @p4657 :rule cong :premises (@p4656) :args (@t5034)) % 1.61/1.81 (step @p4658 :rule nary_cong :premises (@p2232 @p4657 @p2823) :args (@t5035)) % 1.61/1.81 (step @p4659 :rule cong :premises (@p4658) :args ((forall @t1137 @t5035))) % 1.61/1.81 (step @p4660 :rule aci_norm :args ((= (or @t4090 (or @t5034 @t1181)) @t5035))) % 1.61/1.81 (step @p4661 :rule bool-impl-elim :args (@t1251 @t1181)) % 1.61/1.81 (step @p4662 :rule nary_cong :premises (@p2300 @p4661) :args ((or @t4090 @t1257))) % 1.61/1.81 (step @p4663 :rule trans :premises (@p4662 @p4660)) % 1.61/1.81 (step @p4664 :rule bool-impl-elim :args (@t1136 @t1257)) % 1.61/1.81 (step @p4665 :rule trans :premises (@p4664 @p4663)) % 1.61/1.81 (step @p4666 :rule cong :premises (@p4665) :args (@t1258)) % 1.61/1.81 (step @p4667 :rule trans :premises (@p4666 @p4659)) % 1.61/1.81 (step @p4668 :rule cong :premises (@p2238 @p4667) :args (@t1259)) % 1.61/1.81 (step @p4669 :rule cong :premises (@p4668) :args (@t1260)) % 1.61/1.81 (step @p4670 :rule trans :premises (@p4669 @p4644)) % 1.61/1.81 (step @p4671 :rule refl :args (tptp.contrasubsetT3)) % 1.61/1.81 (step @p4672 :rule cong :premises (@p4671 @p4670) :args (@t1261)) % 1.61/1.81 (step @p4673 :rule eq_resolve :premises (@p243 @p4672)) % 1.61/1.81 (step @p4674 :rule cong :premises (@p4673 @p4626) :args (@t5036)) % 1.61/1.81 (step @p4675 :rule aci_norm :args ((= @t5038 @t2456))) % 1.61/1.81 (step @p4676 :rule cong :premises (@p4675) :args (@t5039)) % 1.61/1.81 (step @p4677 :rule quant-merge-prenex :args ((= (forall @t1141 @t5041) @t5039))) % 1.61/1.81 (step @p4678 :rule alpha_equiv :args (@t5042 (@list @t2452) @t4080)) % 1.61/1.81 (step @p4679 :rule nary_cong :premises (@p2143 @p4678) :args (@t5043)) % 1.61/1.81 (step @p4680 :rule quant-miniscope-or :args ((= @t5041 @t5043))) % 1.61/1.81 (step @p4681 :rule trans :premises (@p4680 @p4679)) % 1.61/1.81 (step @p4682 :rule symm :premises (@p4681)) % 1.61/1.81 (step @p4683 :rule cong :premises (@p4682) :args ((forall @t1141 (or @t2184 @t5044)))) % 1.61/1.81 (step @p4684 :rule trans :premises (@p4683 @p4677)) % 1.61/1.81 (step @p4685 :rule trans :premises (@p4684 @p4676)) % 1.61/1.81 (step @p4686 :rule refl :args (@t5044)) % 1.61/1.81 (step @p4687 :rule nary_cong :premises (@p2169 @p4686) :args (@t5045)) % 1.61/1.81 (step @p4688 :rule cong :premises (@p4687) :args ((forall @t1141 @t5045))) % 1.61/1.81 (step @p4689 :rule trans :premises (@p4688 @p4685)) % 1.61/1.81 (step @p4690 :rule bool-impl-elim :args (@t1139 @t5044)) % 1.61/1.81 (step @p4691 :rule cong :premises (@p4690) :args ((forall @t1141 (=> @t1139 @t5044)))) % 1.61/1.81 (step @p4692 :rule trans :premises (@p4691 @p4689)) % 1.61/1.81 (step @p4693 :rule nary_cong :premises (@p2232 @p2824 @p4656) :args (@t5046)) % 1.61/1.81 (step @p4694 :rule cong :premises (@p4693) :args ((forall @t1137 @t5046))) % 1.61/1.81 (step @p4695 :rule aci_norm :args ((= (or @t4090 (or @t4298 @t1251)) @t5046))) % 1.61/1.81 (step @p4696 :rule bool-impl-elim :args (@t1181 @t1251)) % 1.61/1.81 (step @p4697 :rule nary_cong :premises (@p2300 @p4696) :args ((or @t4090 @t1252))) % 1.61/1.81 (step @p4698 :rule trans :premises (@p4697 @p4695)) % 1.61/1.81 (step @p4699 :rule bool-impl-elim :args (@t1136 @t1252)) % 1.61/1.81 (step @p4700 :rule trans :premises (@p4699 @p4698)) % 1.61/1.81 (step @p4701 :rule cong :premises (@p4700) :args (@t1253)) % 1.61/1.81 (step @p4702 :rule trans :premises (@p4701 @p4694)) % 1.61/1.81 (step @p4703 :rule cong :premises (@p2238 @p4702) :args (@t1254)) % 1.61/1.81 (step @p4704 :rule cong :premises (@p4703) :args (@t1255)) % 1.61/1.81 (step @p4705 :rule trans :premises (@p4704 @p4692)) % 1.61/1.81 (step @p4706 :rule refl :args (tptp.contrasubsetT2)) % 1.61/1.81 (step @p4707 :rule cong :premises (@p4706 @p4705) :args (@t1256)) % 1.61/1.81 (step @p4708 :rule eq_resolve :premises (@p242 @p4707)) % 1.61/1.81 (step @p4709 :rule cong :premises (@p4708 @p4674) :args (@t5047)) % 1.61/1.81 (step @p4710 :rule aci_norm :args ((= @t5049 @t2465))) % 1.61/1.81 (step @p4711 :rule cong :premises (@p4710) :args (@t5050)) % 1.61/1.81 (step @p4712 :rule quant-merge-prenex :args ((= (forall @t1141 @t5052) @t5050))) % 1.61/1.81 (step @p4713 :rule alpha_equiv :args (@t5053 (@list @t2460 @t2458) (@list @t1131 @t5054))) % 1.61/1.81 (step @p4714 :rule nary_cong :premises (@p2143 @p4713) :args (@t5055)) % 1.61/1.81 (step @p4715 :rule quant-miniscope-or :args ((= @t5052 @t5055))) % 1.61/1.81 (step @p4716 :rule trans :premises (@p4715 @p4714)) % 1.61/1.81 (step @p4717 :rule symm :premises (@p4716)) % 1.61/1.81 (step @p4718 :rule cong :premises (@p4717) :args ((forall @t1141 (or @t2184 @t5061)))) % 1.61/1.81 (step @p4719 :rule trans :premises (@p4718 @p4712)) % 1.61/1.81 (step @p4720 :rule trans :premises (@p4719 @p4711)) % 1.61/1.81 (step @p4721 :rule refl :args (@t5061)) % 1.61/1.81 (step @p4722 :rule nary_cong :premises (@p2169 @p4721) :args (@t5062)) % 1.61/1.81 (step @p4723 :rule cong :premises (@p4722) :args ((forall @t1141 @t5062))) % 1.61/1.81 (step @p4724 :rule trans :premises (@p4723 @p4720)) % 1.61/1.81 (step @p4725 :rule bool-impl-elim :args (@t1139 @t5061)) % 1.61/1.81 (step @p4726 :rule cong :premises (@p4725) :args ((forall @t1141 (=> @t1139 @t5061)))) % 1.61/1.81 (step @p4727 :rule trans :premises (@p4726 @p4724)) % 1.61/1.81 (step @p4728 :rule aci_norm :args ((= @t5064 @t5059))) % 1.61/1.81 (step @p4729 :rule cong :premises (@p4728) :args (@t5065)) % 1.61/1.81 (step @p4730 :rule quant-merge-prenex :args ((= (forall @t1137 @t5067) @t5065))) % 1.61/1.81 (step @p4731 :rule alpha_equiv :args (@t5068 (@list @t5054) @t3992)) % 1.61/1.81 (step @p4732 :rule nary_cong :premises (@p2340 @p2810 @p4731) :args (@t5069)) % 1.61/1.81 (step @p4733 :rule quant-miniscope-or :args ((= @t5067 @t5069))) % 1.61/1.81 (step @p4734 :rule trans :premises (@p4733 @p4732)) % 1.61/1.81 (step @p4735 :rule symm :premises (@p4734)) % 1.61/1.81 (step @p4736 :rule cong :premises (@p4735) :args ((forall @t1137 (or @t4086 @t4283 @t5070)))) % 1.61/1.81 (step @p4737 :rule trans :premises (@p4736 @p4730)) % 1.61/1.81 (step @p4738 :rule trans :premises (@p4737 @p4729)) % 1.61/1.81 (step @p4739 :rule refl :args (@t5070)) % 1.61/1.81 (step @p4740 :rule nary_cong :premises (@p2232 @p2824 @p4739) :args (@t5071)) % 1.61/1.81 (step @p4741 :rule cong :premises (@p4740) :args ((forall @t1137 @t5071))) % 1.61/1.81 (step @p4742 :rule trans :premises (@p4741 @p4738)) % 1.61/1.81 (step @p4743 :rule aci_norm :args ((= (or @t4090 @t5072) @t5071))) % 1.61/1.81 (step @p4744 :rule bool-impl-elim :args (@t1136 @t5072)) % 1.61/1.81 (step @p4745 :rule trans :premises (@p4744 @p4743)) % 1.61/1.81 (step @p4746 :rule cong :premises (@p4745) :args ((forall @t1137 (=> @t1136 @t5072)))) % 1.61/1.81 (step @p4747 :rule trans :premises (@p4746 @p4742)) % 1.61/1.81 (step @p4748 :rule nary_cong :premises (@p883 @p3672 @p3854) :args (@t5073)) % 1.61/1.81 (step @p4749 :rule cong :premises (@p4748) :args (@t5074)) % 1.61/1.81 (step @p4750 :rule nary_cong :premises (@p2850 @p4749) :args (@t5075)) % 1.61/1.81 (step @p4751 :rule quant-miniscope-or :args ((= (forall @t9 @t5076) @t5075))) % 1.61/1.81 (step @p4752 :rule aci_norm :args ((= @t5077 @t5076))) % 1.61/1.81 (step @p4753 :rule cong :premises (@p4752) :args ((forall @t9 @t5077))) % 1.61/1.81 (step @p4754 :rule trans :premises (@p4753 @p4751)) % 1.61/1.81 (step @p4755 :rule trans :premises (@p4754 @p4750)) % 1.61/1.81 (step @p4756 :rule aci_norm :args ((= (or @t197 @t5078) @t5077))) % 1.61/1.81 (step @p4757 :rule aci_norm :args ((= (or @t4298 (or @t1168 @t1217)) @t5078))) % 1.61/1.81 (step @p4758 :rule nary_cong :premises (@p3683 @p4240) :args ((or @t4641 @t1217))) % 1.61/1.81 (step @p4759 :rule bool-impl-elim :args (@t1225 @t1217)) % 1.61/1.81 (step @p4760 :rule trans :premises (@p4759 @p4758)) % 1.61/1.81 (step @p4761 :rule nary_cong :premises (@p2860 @p4760) :args ((or @t4298 @t1243))) % 1.61/1.81 (step @p4762 :rule trans :premises (@p4761 @p4757)) % 1.61/1.81 (step @p4763 :rule bool-impl-elim :args (@t1181 @t1243)) % 1.61/1.81 (step @p4764 :rule trans :premises (@p4763 @p4762)) % 1.61/1.81 (step @p4765 :rule nary_cong :premises (@p3166 @p4764) :args ((or @t197 @t1244))) % 1.61/1.81 (step @p4766 :rule trans :premises (@p4765 @p4756)) % 1.61/1.81 (step @p4767 :rule bool-impl-elim :args (@t7 @t1244)) % 1.61/1.81 (step @p4768 :rule trans :premises (@p4767 @p4766)) % 1.61/1.81 (step @p4769 :rule cong :premises (@p4768) :args (@t1245)) % 1.61/1.81 (step @p4770 :rule trans :premises (@p4769 @p4755)) % 1.61/1.81 (step @p4771 :rule cong :premises (@p2423 @p4770) :args (@t1246)) % 1.61/1.81 (step @p4772 :rule cong :premises (@p4771) :args (@t1247)) % 1.61/1.81 (step @p4773 :rule trans :premises (@p4772 @p4747)) % 1.61/1.81 (step @p4774 :rule cong :premises (@p2238 @p4773) :args (@t1248)) % 1.61/1.81 (step @p4775 :rule cong :premises (@p4774) :args (@t1249)) % 1.61/1.81 (step @p4776 :rule trans :premises (@p4775 @p4727)) % 1.61/1.81 (step @p4777 :rule refl :args (tptp.contrasubsetT1)) % 1.61/1.81 (step @p4778 :rule cong :premises (@p4777 @p4776) :args (@t1250)) % 1.61/1.81 (step @p4779 :rule eq_resolve :premises (@p241 @p4778)) % 1.61/1.81 (step @p4780 :rule cong :premises (@p4779 @p4709) :args (@t5079)) % 1.61/1.81 (step @p4781 :rule aci_norm :args ((= @t5081 @t2474))) % 1.61/1.81 (step @p4782 :rule cong :premises (@p4781) :args (@t5082)) % 1.61/1.81 (step @p4783 :rule quant-merge-prenex :args ((= (forall @t1141 @t5084) @t5082))) % 1.61/1.81 (step @p4784 :rule alpha_equiv :args (@t5085 (@list @t2469 @t2467) (@list @t1131 @t5086))) % 1.61/1.81 (step @p4785 :rule nary_cong :premises (@p2143 @p4784) :args (@t5087)) % 1.61/1.81 (step @p4786 :rule quant-miniscope-or :args ((= @t5084 @t5087))) % 1.61/1.81 (step @p4787 :rule trans :premises (@p4786 @p4785)) % 1.61/1.81 (step @p4788 :rule symm :premises (@p4787)) % 1.61/1.81 (step @p4789 :rule cong :premises (@p4788) :args ((forall @t1141 (or @t2184 @t5093)))) % 1.61/1.81 (step @p4790 :rule trans :premises (@p4789 @p4783)) % 1.61/1.81 (step @p4791 :rule trans :premises (@p4790 @p4782)) % 1.61/1.81 (step @p4792 :rule refl :args (@t5093)) % 1.61/1.81 (step @p4793 :rule nary_cong :premises (@p2169 @p4792) :args (@t5094)) % 1.61/1.81 (step @p4794 :rule cong :premises (@p4793) :args ((forall @t1141 @t5094))) % 1.61/1.81 (step @p4795 :rule trans :premises (@p4794 @p4791)) % 1.61/1.81 (step @p4796 :rule bool-impl-elim :args (@t1139 @t5093)) % 1.61/1.81 (step @p4797 :rule cong :premises (@p4796) :args ((forall @t1141 (=> @t1139 @t5093)))) % 1.61/1.81 (step @p4798 :rule trans :premises (@p4797 @p4795)) % 1.61/1.81 (step @p4799 :rule aci_norm :args ((= @t5096 @t5091))) % 1.61/1.81 (step @p4800 :rule cong :premises (@p4799) :args (@t5097)) % 1.61/1.81 (step @p4801 :rule quant-merge-prenex :args ((= (forall @t1137 @t5099) @t5097))) % 1.61/1.81 (step @p4802 :rule alpha_equiv :args (@t5100 (@list @t5086) @t3992)) % 1.61/1.81 (step @p4803 :rule nary_cong :premises (@p2340 @p4286 @p4802) :args (@t5101)) % 1.61/1.81 (step @p4804 :rule quant-miniscope-or :args ((= @t5099 @t5101))) % 1.61/1.81 (step @p4805 :rule trans :premises (@p4804 @p4803)) % 1.61/1.81 (step @p4806 :rule symm :premises (@p4805)) % 1.61/1.81 (step @p4807 :rule cong :premises (@p4806) :args ((forall @t1137 (or @t4086 @t4103 @t5102)))) % 1.61/1.81 (step @p4808 :rule trans :premises (@p4807 @p4801)) % 1.61/1.81 (step @p4809 :rule trans :premises (@p4808 @p4800)) % 1.61/1.81 (step @p4810 :rule refl :args (@t5102)) % 1.61/1.81 (step @p4811 :rule nary_cong :premises (@p2232 @p2295 @p4810) :args (@t5103)) % 1.61/1.81 (step @p4812 :rule cong :premises (@p4811) :args ((forall @t1137 @t5103))) % 1.61/1.81 (step @p4813 :rule trans :premises (@p4812 @p4809)) % 1.61/1.81 (step @p4814 :rule aci_norm :args ((= (or @t4090 @t5104) @t5103))) % 1.61/1.81 (step @p4815 :rule bool-impl-elim :args (@t1136 @t5104)) % 1.61/1.81 (step @p4816 :rule trans :premises (@p4815 @p4814)) % 1.61/1.81 (step @p4817 :rule cong :premises (@p4816) :args ((forall @t1137 (=> @t1136 @t5104)))) % 1.61/1.81 (step @p4818 :rule trans :premises (@p4817 @p4813)) % 1.61/1.81 (step @p4819 :rule nary_cong :premises (@p883 @p4176 @p3854) :args (@t5105)) % 1.61/1.81 (step @p4820 :rule cong :premises (@p4819) :args (@t5106)) % 1.61/1.81 (step @p4821 :rule refl :args (@t4106)) % 1.61/1.81 (step @p4822 :rule nary_cong :premises (@p4821 @p4820) :args (@t5107)) % 1.61/1.81 (step @p4823 :rule quant-miniscope-or :args ((= (forall @t9 @t5108) @t5107))) % 1.61/1.81 (step @p4824 :rule aci_norm :args ((= @t5109 @t5108))) % 1.61/1.81 (step @p4825 :rule cong :premises (@p4824) :args ((forall @t9 @t5109))) % 1.61/1.81 (step @p4826 :rule trans :premises (@p4825 @p4823)) % 1.61/1.81 (step @p4827 :rule trans :premises (@p4826 @p4822)) % 1.61/1.81 (step @p4828 :rule aci_norm :args ((= (or @t197 @t5110) @t5109))) % 1.61/1.81 (step @p4829 :rule aci_norm :args ((= (or @t4106 (or @t1225 @t1217)) @t5110))) % 1.61/1.81 (step @p4830 :rule bool-impl-elim :args (@t1168 @t1217)) % 1.61/1.81 (step @p4831 :rule refl :args (@t4106)) % 1.61/1.81 (step @p4832 :rule nary_cong :premises (@p4831 @p4830) :args ((or @t4106 @t1233))) % 1.61/1.81 (step @p4833 :rule trans :premises (@p4832 @p4829)) % 1.61/1.81 (step @p4834 :rule bool-impl-elim :args (@t1235 @t1233)) % 1.61/1.81 (step @p4835 :rule trans :premises (@p4834 @p4833)) % 1.61/1.81 (step @p4836 :rule nary_cong :premises (@p3166 @p4835) :args ((or @t197 @t1236))) % 1.61/1.81 (step @p4837 :rule trans :premises (@p4836 @p4828)) % 1.61/1.81 (step @p4838 :rule bool-impl-elim :args (@t7 @t1236)) % 1.61/1.81 (step @p4839 :rule trans :premises (@p4838 @p4837)) % 1.61/1.81 (step @p4840 :rule cong :premises (@p4839) :args (@t1237)) % 1.61/1.81 (step @p4841 :rule trans :premises (@p4840 @p4827)) % 1.61/1.81 (step @p4842 :rule cong :premises (@p2423 @p4841) :args (@t1238)) % 1.61/1.81 (step @p4843 :rule cong :premises (@p4842) :args (@t1239)) % 1.61/1.81 (step @p4844 :rule trans :premises (@p4843 @p4818)) % 1.61/1.81 (step @p4845 :rule cong :premises (@p2238 @p4844) :args (@t1240)) % 1.61/1.81 (step @p4846 :rule cong :premises (@p4845) :args (@t1241)) % 1.61/1.81 (step @p4847 :rule trans :premises (@p4846 @p4798)) % 1.61/1.81 (step @p4848 :rule refl :args (tptp.contrasubsetT)) % 1.61/1.81 (step @p4849 :rule cong :premises (@p4848 @p4847) :args (@t1242)) % 1.61/1.81 (step @p4850 :rule eq_resolve :premises (@p240 @p4849)) % 1.61/1.81 (step @p4851 :rule cong :premises (@p4850 @p4780) :args (@t5111)) % 1.61/1.81 (step @p4852 :rule aci_norm :args ((= @t5113 @t2482))) % 1.61/1.81 (step @p4853 :rule cong :premises (@p4852) :args (@t5114)) % 1.61/1.81 (step @p4854 :rule quant-merge-prenex :args ((= (forall @t1141 @t5116) @t5114))) % 1.61/1.81 (step @p4855 :rule alpha_equiv :args (@t5117 (@list @t2476 @t2477) (@list @t1131 @t5118))) % 1.61/1.81 (step @p4856 :rule nary_cong :premises (@p2143 @p4855) :args (@t5119)) % 1.61/1.81 (step @p4857 :rule quant-miniscope-or :args ((= @t5116 @t5119))) % 1.61/1.81 (step @p4858 :rule trans :premises (@p4857 @p4856)) % 1.61/1.81 (step @p4859 :rule symm :premises (@p4858)) % 1.61/1.81 (step @p4860 :rule cong :premises (@p4859) :args ((forall @t1141 (or @t2184 @t5125)))) % 1.61/1.81 (step @p4861 :rule trans :premises (@p4860 @p4854)) % 1.61/1.81 (step @p4862 :rule trans :premises (@p4861 @p4853)) % 1.61/1.81 (step @p4863 :rule refl :args (@t5125)) % 1.61/1.81 (step @p4864 :rule nary_cong :premises (@p2169 @p4863) :args (@t5126)) % 1.61/1.81 (step @p4865 :rule cong :premises (@p4864) :args ((forall @t1141 @t5126))) % 1.61/1.81 (step @p4866 :rule trans :premises (@p4865 @p4862)) % 1.61/1.81 (step @p4867 :rule bool-impl-elim :args (@t1139 @t5125)) % 1.61/1.81 (step @p4868 :rule cong :premises (@p4867) :args ((forall @t1141 (=> @t1139 @t5125)))) % 1.61/1.81 (step @p4869 :rule trans :premises (@p4868 @p4866)) % 1.61/1.81 (step @p4870 :rule aci_norm :args ((= @t5128 @t5123))) % 1.61/1.81 (step @p4871 :rule cong :premises (@p4870) :args (@t5129)) % 1.61/1.81 (step @p4872 :rule quant-merge-prenex :args ((= (forall @t1137 @t5131) @t5129))) % 1.61/1.81 (step @p4873 :rule alpha_equiv :args (@t5132 (@list @t5118) @t3992)) % 1.61/1.81 (step @p4874 :rule nary_cong :premises (@p2340 @p4873) :args (@t5133)) % 1.61/1.81 (step @p4875 :rule quant-miniscope-or :args ((= @t5131 @t5133))) % 1.61/1.81 (step @p4876 :rule trans :premises (@p4875 @p4874)) % 1.61/1.81 (step @p4877 :rule symm :premises (@p4876)) % 1.61/1.81 (step @p4878 :rule cong :premises (@p4877) :args ((forall @t1137 (or @t4086 @t5134)))) % 1.61/1.81 (step @p4879 :rule trans :premises (@p4878 @p4872)) % 1.61/1.81 (step @p4880 :rule trans :premises (@p4879 @p4871)) % 1.61/1.81 (step @p4881 :rule refl :args (@t5134)) % 1.61/1.81 (step @p4882 :rule nary_cong :premises (@p2232 @p4881) :args (@t5135)) % 1.61/1.81 (step @p4883 :rule cong :premises (@p4882) :args ((forall @t1137 @t5135))) % 1.61/1.81 (step @p4884 :rule trans :premises (@p4883 @p4880)) % 1.61/1.81 (step @p4885 :rule bool-impl-elim :args (@t1136 @t5134)) % 1.61/1.81 (step @p4886 :rule cong :premises (@p4885) :args ((forall @t1137 (=> @t1136 @t5134)))) % 1.61/1.81 (step @p4887 :rule trans :premises (@p4886 @p4884)) % 1.61/1.81 (step @p4888 :rule nary_cong :premises (@p883 @p3672 @p3058) :args (@t5136)) % 1.61/1.81 (step @p4889 :rule cong :premises (@p4888) :args ((forall @t9 @t5136))) % 1.61/1.81 (step @p4890 :rule aci_norm :args ((= (or @t197 (or @t1168 @t1216)) @t5136))) % 1.61/1.81 (step @p4891 :rule refl :args (@t1216)) % 1.61/1.81 (step @p4892 :rule nary_cong :premises (@p3683 @p4891) :args ((or @t4641 @t1216))) % 1.61/1.81 (step @p4893 :rule bool-impl-elim :args (@t1225 @t1216)) % 1.61/1.81 (step @p4894 :rule trans :premises (@p4893 @p4892)) % 1.61/1.81 (step @p4895 :rule nary_cong :premises (@p3166 @p4894) :args ((or @t197 @t1226))) % 1.61/1.81 (step @p4896 :rule trans :premises (@p4895 @p4890)) % 1.61/1.81 (step @p4897 :rule bool-impl-elim :args (@t7 @t1226)) % 1.61/1.81 (step @p4898 :rule trans :premises (@p4897 @p4896)) % 1.61/1.81 (step @p4899 :rule cong :premises (@p4898) :args (@t1227)) % 1.61/1.81 (step @p4900 :rule trans :premises (@p4899 @p4889)) % 1.61/1.81 (step @p4901 :rule cong :premises (@p2423 @p4900) :args (@t1228)) % 1.61/1.81 (step @p4902 :rule cong :premises (@p4901) :args (@t1229)) % 1.61/1.81 (step @p4903 :rule trans :premises (@p4902 @p4887)) % 1.61/1.81 (step @p4904 :rule cong :premises (@p2238 @p4903) :args (@t1230)) % 1.61/1.81 (step @p4905 :rule cong :premises (@p4904) :args (@t1231)) % 1.61/1.81 (step @p4906 :rule trans :premises (@p4905 @p4869)) % 1.61/1.81 (step @p4907 :rule refl :args (tptp.binintersectTERcontra)) % 1.61/1.81 (step @p4908 :rule cong :premises (@p4907 @p4906) :args (@t1232)) % 1.61/1.81 (step @p4909 :rule eq_resolve :premises (@p239 @p4908)) % 1.61/1.81 (step @p4910 :rule cong :premises (@p4909 @p4851) :args (@t5137)) % 1.61/1.81 (step @p4911 :rule aci_norm :args ((= @t5139 @t2490))) % 1.61/1.81 (step @p4912 :rule cong :premises (@p4911) :args (@t5140)) % 1.61/1.81 (step @p4913 :rule quant-merge-prenex :args ((= (forall @t1141 @t5142) @t5140))) % 1.61/1.81 (step @p4914 :rule alpha_equiv :args (@t5143 (@list @t2484 @t2485) (@list @t1131 @t5144))) % 1.61/1.81 (step @p4915 :rule nary_cong :premises (@p2143 @p4914) :args (@t5145)) % 1.61/1.81 (step @p4916 :rule quant-miniscope-or :args ((= @t5142 @t5145))) % 1.61/1.81 (step @p4917 :rule trans :premises (@p4916 @p4915)) % 1.61/1.81 (step @p4918 :rule symm :premises (@p4917)) % 1.61/1.81 (step @p4919 :rule cong :premises (@p4918) :args ((forall @t1141 (or @t2184 @t5151)))) % 1.61/1.81 (step @p4920 :rule trans :premises (@p4919 @p4913)) % 1.61/1.81 (step @p4921 :rule trans :premises (@p4920 @p4912)) % 1.61/1.81 (step @p4922 :rule refl :args (@t5151)) % 1.61/1.81 (step @p4923 :rule nary_cong :premises (@p2169 @p4922) :args (@t5152)) % 1.61/1.81 (step @p4924 :rule cong :premises (@p4923) :args ((forall @t1141 @t5152))) % 1.61/1.81 (step @p4925 :rule trans :premises (@p4924 @p4921)) % 1.61/1.81 (step @p4926 :rule bool-impl-elim :args (@t1139 @t5151)) % 1.61/1.82 (step @p4927 :rule cong :premises (@p4926) :args ((forall @t1141 (=> @t1139 @t5151)))) % 1.61/1.82 (step @p4928 :rule trans :premises (@p4927 @p4925)) % 1.61/1.82 (step @p4929 :rule aci_norm :args ((= @t5154 @t5149))) % 1.61/1.82 (step @p4930 :rule cong :premises (@p4929) :args (@t5155)) % 1.61/1.82 (step @p4931 :rule quant-merge-prenex :args ((= (forall @t1137 @t5157) @t5155))) % 1.61/1.82 (step @p4932 :rule alpha_equiv :args (@t5158 (@list @t5144) @t3992)) % 1.61/1.82 (step @p4933 :rule nary_cong :premises (@p2340 @p4932) :args (@t5159)) % 1.61/1.82 (step @p4934 :rule quant-miniscope-or :args ((= @t5157 @t5159))) % 1.61/1.82 (step @p4935 :rule trans :premises (@p4934 @p4933)) % 1.61/1.82 (step @p4936 :rule symm :premises (@p4935)) % 1.61/1.82 (step @p4937 :rule cong :premises (@p4936) :args ((forall @t1137 (or @t4086 @t5160)))) % 1.61/1.82 (step @p4938 :rule trans :premises (@p4937 @p4931)) % 1.61/1.82 (step @p4939 :rule trans :premises (@p4938 @p4930)) % 1.61/1.82 (step @p4940 :rule refl :args (@t5160)) % 1.61/1.82 (step @p4941 :rule nary_cong :premises (@p2232 @p4940) :args (@t5161)) % 1.61/1.82 (step @p4942 :rule cong :premises (@p4941) :args ((forall @t1137 @t5161))) % 1.61/1.82 (step @p4943 :rule trans :premises (@p4942 @p4939)) % 1.61/1.82 (step @p4944 :rule bool-impl-elim :args (@t1136 @t5160)) % 1.61/1.82 (step @p4945 :rule cong :premises (@p4944) :args ((forall @t1137 (=> @t1136 @t5160)))) % 1.61/1.82 (step @p4946 :rule trans :premises (@p4945 @p4943)) % 1.61/1.82 (step @p4947 :rule nary_cong :premises (@p883 @p3677 @p3058) :args (@t5162)) % 1.61/1.82 (step @p4948 :rule cong :premises (@p4947) :args ((forall @t9 @t5162))) % 1.61/1.82 (step @p4949 :rule aci_norm :args ((= (or @t197 (or @t696 @t1216)) @t5162))) % 1.61/1.82 (step @p4950 :rule nary_cong :premises (@p3690 @p4891) :args ((or @t4642 @t1216))) % 1.61/1.82 (step @p4951 :rule bool-impl-elim :args (@t1217 @t1216)) % 1.61/1.82 (step @p4952 :rule trans :premises (@p4951 @p4950)) % 1.61/1.82 (step @p4953 :rule nary_cong :premises (@p3166 @p4952) :args ((or @t197 @t1218))) % 1.61/1.82 (step @p4954 :rule trans :premises (@p4953 @p4949)) % 1.61/1.82 (step @p4955 :rule bool-impl-elim :args (@t7 @t1218)) % 1.61/1.82 (step @p4956 :rule trans :premises (@p4955 @p4954)) % 1.61/1.82 (step @p4957 :rule cong :premises (@p4956) :args (@t1219)) % 1.61/1.82 (step @p4958 :rule trans :premises (@p4957 @p4948)) % 1.61/1.82 (step @p4959 :rule cong :premises (@p2423 @p4958) :args (@t1220)) % 1.61/1.82 (step @p4960 :rule cong :premises (@p4959) :args (@t1221)) % 1.61/1.82 (step @p4961 :rule trans :premises (@p4960 @p4946)) % 1.61/1.82 (step @p4962 :rule cong :premises (@p2238 @p4961) :args (@t1222)) % 1.61/1.82 (step @p4963 :rule cong :premises (@p4962) :args (@t1223)) % 1.61/1.82 (step @p4964 :rule trans :premises (@p4963 @p4928)) % 1.61/1.82 (step @p4965 :rule refl :args (tptp.binintersectTELcontra)) % 1.61/1.82 (step @p4966 :rule cong :premises (@p4965 @p4964) :args (@t1224)) % 1.61/1.82 (step @p4967 :rule eq_resolve :premises (@p238 @p4966)) % 1.61/1.82 (step @p4968 :rule cong :premises (@p4967 @p4910) :args (@t5163)) % 1.61/1.82 (step @p4969 :rule aci_norm :args ((= @t5165 @t2496))) % 1.61/1.82 (step @p4970 :rule cong :premises (@p4969) :args (@t5166)) % 1.61/1.82 (step @p4971 :rule quant-merge-prenex :args ((= (forall @t1141 @t5168) @t5166))) % 1.61/1.82 (step @p4972 :rule alpha_equiv :args (@t5169 (@list @t2492) @t3992)) % 1.61/1.82 (step @p4973 :rule nary_cong :premises (@p2143 @p4972) :args (@t5170)) % 1.61/1.82 (step @p4974 :rule quant-miniscope-or :args ((= @t5168 @t5170))) % 1.61/1.82 (step @p4975 :rule trans :premises (@p4974 @p4973)) % 1.61/1.82 (step @p4976 :rule symm :premises (@p4975)) % 1.61/1.82 (step @p4977 :rule cong :premises (@p4976) :args ((forall @t1141 (or @t2184 @t5171)))) % 1.61/1.82 (step @p4978 :rule trans :premises (@p4977 @p4971)) % 1.61/1.82 (step @p4979 :rule trans :premises (@p4978 @p4970)) % 1.61/1.82 (step @p4980 :rule refl :args (@t5171)) % 1.61/1.82 (step @p4981 :rule nary_cong :premises (@p2169 @p4980) :args (@t5172)) % 1.61/1.82 (step @p4982 :rule cong :premises (@p4981) :args ((forall @t1141 @t5172))) % 1.61/1.82 (step @p4983 :rule trans :premises (@p4982 @p4979)) % 1.61/1.82 (step @p4984 :rule bool-impl-elim :args (@t1139 @t5171)) % 1.61/1.82 (step @p4985 :rule cong :premises (@p4984) :args ((forall @t1141 (=> @t1139 @t5171)))) % 1.61/1.82 (step @p4986 :rule trans :premises (@p4985 @p4983)) % 1.61/1.82 (step @p4987 :rule nary_cong :premises (@p883 @p3239 @p3677) :args (@t5173)) % 1.61/1.82 (step @p4988 :rule cong :premises (@p4987) :args ((forall @t9 @t5173))) % 1.61/1.82 (step @p4989 :rule aci_norm :args ((= (or @t197 (or @t1203 @t696)) @t5173))) % 1.61/1.82 (step @p4990 :rule bool-double-not-elim :args (@t1203)) % 1.61/1.82 (step @p4991 :rule nary_cong :premises (@p4990 @p3674) :args ((or (not @t1204) @t696))) % 1.61/1.82 (step @p4992 :rule bool-impl-elim :args (@t1204 @t696)) % 1.61/1.82 (step @p4993 :rule trans :premises (@p4992 @p4991)) % 1.61/1.82 (step @p4994 :rule nary_cong :premises (@p3166 @p4993) :args ((or @t197 @t1210))) % 1.61/1.82 (step @p4995 :rule trans :premises (@p4994 @p4989)) % 1.61/1.82 (step @p4996 :rule bool-impl-elim :args (@t7 @t1210)) % 1.61/1.82 (step @p4997 :rule trans :premises (@p4996 @p4995)) % 1.61/1.82 (step @p4998 :rule cong :premises (@p4997) :args (@t1211)) % 1.61/1.82 (step @p4999 :rule trans :premises (@p4998 @p4988)) % 1.61/1.82 (step @p5000 :rule cong :premises (@p2238 @p4999) :args (@t1212)) % 1.61/1.82 (step @p5001 :rule cong :premises (@p5000) :args (@t1213)) % 1.61/1.82 (step @p5002 :rule trans :premises (@p5001 @p4986)) % 1.61/1.82 (step @p5003 :rule refl :args (tptp.complementTE1)) % 1.61/1.82 (step @p5004 :rule cong :premises (@p5003 @p5002) :args (@t1214)) % 1.61/1.82 (step @p5005 :rule eq_resolve :premises (@p237 @p5004)) % 1.61/1.82 (step @p5006 :rule cong :premises (@p5005 @p4968) :args (@t5174)) % 1.61/1.82 (step @p5007 :rule aci_norm :args ((= @t5176 @t2502))) % 1.61/1.82 (step @p5008 :rule cong :premises (@p5007) :args (@t5177)) % 1.61/1.82 (step @p5009 :rule quant-merge-prenex :args ((= (forall @t1141 @t5179) @t5177))) % 1.61/1.82 (step @p5010 :rule alpha_equiv :args (@t5180 (@list @t2498) @t3992)) % 1.61/1.82 (step @p5011 :rule nary_cong :premises (@p2143 @p5010) :args (@t5181)) % 1.61/1.82 (step @p5012 :rule quant-miniscope-or :args ((= @t5179 @t5181))) % 1.61/1.82 (step @p5013 :rule trans :premises (@p5012 @p5011)) % 1.61/1.82 (step @p5014 :rule symm :premises (@p5013)) % 1.61/1.82 (step @p5015 :rule cong :premises (@p5014) :args ((forall @t1141 (or @t2184 @t5182)))) % 1.61/1.82 (step @p5016 :rule trans :premises (@p5015 @p5009)) % 1.61/1.82 (step @p5017 :rule trans :premises (@p5016 @p5008)) % 1.61/1.82 (step @p5018 :rule refl :args (@t5182)) % 1.61/1.82 (step @p5019 :rule nary_cong :premises (@p2169 @p5018) :args (@t5183)) % 1.61/1.82 (step @p5020 :rule cong :premises (@p5019) :args ((forall @t1141 @t5183))) % 1.61/1.82 (step @p5021 :rule trans :premises (@p5020 @p5017)) % 1.61/1.82 (step @p5022 :rule bool-impl-elim :args (@t1139 @t5182)) % 1.61/1.82 (step @p5023 :rule cong :premises (@p5022) :args ((forall @t1141 (=> @t1139 @t5182)))) % 1.61/1.82 (step @p5024 :rule trans :premises (@p5023 @p5021)) % 1.61/1.82 (step @p5025 :rule nary_cong :premises (@p883 @p3854 @p3240) :args (@t5184)) % 1.61/1.82 (step @p5026 :rule cong :premises (@p5025) :args ((forall @t9 @t5184))) % 1.61/1.82 (step @p5027 :rule aci_norm :args ((= (or @t197 (or @t1217 @t1204)) @t5184))) % 1.61/1.82 (step @p5028 :rule bool-impl-elim :args (@t696 @t1204)) % 1.61/1.82 (step @p5029 :rule nary_cong :premises (@p3166 @p5028) :args ((or @t197 @t1205))) % 1.61/1.82 (step @p5030 :rule trans :premises (@p5029 @p5027)) % 1.61/1.82 (step @p5031 :rule bool-impl-elim :args (@t7 @t1205)) % 1.61/1.82 (step @p5032 :rule trans :premises (@p5031 @p5030)) % 1.61/1.82 (step @p5033 :rule cong :premises (@p5032) :args (@t1206)) % 1.61/1.82 (step @p5034 :rule trans :premises (@p5033 @p5026)) % 1.61/1.82 (step @p5035 :rule cong :premises (@p2238 @p5034) :args (@t1207)) % 1.61/1.82 (step @p5036 :rule cong :premises (@p5035) :args (@t1208)) % 1.61/1.82 (step @p5037 :rule trans :premises (@p5036 @p5024)) % 1.61/1.82 (step @p5038 :rule refl :args (tptp.complementTI1)) % 1.61/1.82 (step @p5039 :rule cong :premises (@p5038 @p5037) :args (@t1209)) % 1.61/1.82 (step @p5040 :rule eq_resolve :premises (@p236 @p5039)) % 1.61/1.82 (step @p5041 :rule cong :premises (@p5040 @p5006) :args (@t5185)) % 1.61/1.82 (step @p5042 :rule aci_norm :args ((= @t5187 @t2511))) % 1.61/1.82 (step @p5043 :rule cong :premises (@p5042) :args (@t5188)) % 1.61/1.82 (step @p5044 :rule quant-merge-prenex :args ((= (forall @t1141 @t5190) @t5188))) % 1.61/1.82 (step @p5045 :rule alpha_equiv :args (@t5191 (@list @t2504 @t2505) (@list @t1131 @t5192))) % 1.61/1.82 (step @p5046 :rule nary_cong :premises (@p2143 @p5045) :args (@t5193)) % 1.61/1.82 (step @p5047 :rule quant-miniscope-or :args ((= @t5190 @t5193))) % 1.61/1.82 (step @p5048 :rule trans :premises (@p5047 @p5046)) % 1.61/1.82 (step @p5049 :rule symm :premises (@p5048)) % 1.61/1.82 (step @p5050 :rule cong :premises (@p5049) :args ((forall @t1141 (or @t2184 @t5202)))) % 1.61/1.82 (step @p5051 :rule trans :premises (@p5050 @p5044)) % 1.61/1.82 (step @p5052 :rule trans :premises (@p5051 @p5043)) % 1.61/1.82 (step @p5053 :rule refl :args (@t5202)) % 1.61/1.82 (step @p5054 :rule nary_cong :premises (@p2169 @p5053) :args (@t5203)) % 1.61/1.82 (step @p5055 :rule cong :premises (@p5054) :args ((forall @t1141 @t5203))) % 1.61/1.82 (step @p5056 :rule trans :premises (@p5055 @p5052)) % 1.61/1.82 (step @p5057 :rule bool-impl-elim :args (@t1139 @t5202)) % 1.61/1.82 (step @p5058 :rule cong :premises (@p5057) :args ((forall @t1141 (=> @t1139 @t5202)))) % 1.61/1.82 (step @p5059 :rule trans :premises (@p5058 @p5056)) % 1.61/1.82 (step @p5060 :rule aci_norm :args ((= @t5205 @t5200))) % 1.61/1.82 (step @p5061 :rule cong :premises (@p5060) :args (@t5206)) % 1.61/1.82 (step @p5062 :rule quant-merge-prenex :args ((= (forall @t1137 @t5208) @t5206))) % 1.61/1.82 (step @p5063 :rule alpha_equiv :args (@t5209 (@list @t5192) @t3992)) % 1.61/1.82 (step @p5064 :rule refl :args (@t5199)) % 1.61/1.82 (step @p5065 :rule nary_cong :premises (@p2340 @p5064 @p5063) :args (@t5210)) % 1.61/1.82 (step @p5066 :rule quant-miniscope-or :args ((= @t5208 @t5210))) % 1.61/1.82 (step @p5067 :rule trans :premises (@p5066 @p5065)) % 1.61/1.82 (step @p5068 :rule symm :premises (@p5067)) % 1.61/1.82 (step @p5069 :rule cong :premises (@p5068) :args ((forall @t1137 (or @t4086 @t5199 @t5211)))) % 1.61/1.82 (step @p5070 :rule trans :premises (@p5069 @p5062)) % 1.61/1.82 (step @p5071 :rule trans :premises (@p5070 @p5061)) % 1.61/1.82 (step @p5072 :rule refl :args (@t5211)) % 1.61/1.82 (step @p5073 :rule refl :args ((tptp.in @t695 @t1188))) % 1.61/1.82 (step @p5074 :rule refl :args (@t5197)) % 1.61/1.82 (step @p5075 :rule cong :premises (@p2154 @p5074) :args (@t5198)) % 1.61/1.82 (step @p5076 :rule trans :premises (@p5075 @p5073)) % 1.61/1.82 (step @p5077 :rule ho_cong :premises (@p2157 @p5074)) % 1.61/1.82 (step @p5078 :rule cong :premises (@p5077 @p5076) :args ((= (_ @t697 @t5197) @t5198))) % 1.61/1.82 (step @p5079 :rule symm :premises (@p5078)) % 1.61/1.82 (step @p5080 :rule refl :args (@t1189)) % 1.61/1.82 (step @p5081 :rule eq_resolve :premises (@p5080 @p5079)) % 1.61/1.82 (step @p5082 :rule refl :args (@t1188)) % 1.61/1.82 (step @p5083 :rule cong :premises (@p5082 @p5074) :args ((= @t1188 @t5197))) % 1.61/1.82 (step @p5084 :rule symm :premises (@p5083)) % 1.61/1.82 (step @p5085 :rule eq_resolve :premises (@p5082 @p5084)) % 1.61/1.82 (step @p5086 :rule ho_cong :premises (@p2157 @p5085)) % 1.61/1.82 (step @p5087 :rule trans :premises (@p5086 @p5081)) % 1.61/1.82 (step @p5088 :rule cong :premises (@p5087) :args (@t5212)) % 1.61/1.82 (step @p5089 :rule nary_cong :premises (@p2232 @p5088 @p5072) :args (@t5213)) % 1.61/1.82 (step @p5090 :rule cong :premises (@p5089) :args ((forall @t1137 @t5213))) % 1.61/1.82 (step @p5091 :rule trans :premises (@p5090 @p5071)) % 1.61/1.82 (step @p5092 :rule aci_norm :args ((= (or @t4090 @t5214) @t5213))) % 1.61/1.82 (step @p5093 :rule bool-impl-elim :args (@t1136 @t5214)) % 1.61/1.82 (step @p5094 :rule trans :premises (@p5093 @p5092)) % 1.61/1.82 (step @p5095 :rule cong :premises (@p5094) :args ((forall @t1137 (=> @t1136 @t5214)))) % 1.61/1.82 (step @p5096 :rule trans :premises (@p5095 @p5091)) % 1.61/1.82 (step @p5097 :rule nary_cong :premises (@p883 @p3854 @p3672) :args (@t5215)) % 1.61/1.82 (step @p5098 :rule cong :premises (@p5097) :args (@t5216)) % 1.61/1.82 (step @p5099 :rule refl :args (@t5212)) % 1.61/1.82 (step @p5100 :rule nary_cong :premises (@p5099 @p5098) :args (@t5217)) % 1.61/1.82 (step @p5101 :rule quant-miniscope-or :args ((= (forall @t9 @t5218) @t5217))) % 1.61/1.82 (step @p5102 :rule aci_norm :args ((= @t5219 @t5218))) % 1.61/1.82 (step @p5103 :rule cong :premises (@p5102) :args ((forall @t9 @t5219))) % 1.61/1.82 (step @p5104 :rule trans :premises (@p5103 @p5101)) % 1.61/1.82 (step @p5105 :rule trans :premises (@p5104 @p5100)) % 1.61/1.82 (step @p5106 :rule aci_norm :args ((= (or @t197 @t5220) @t5219))) % 1.61/1.82 (step @p5107 :rule aci_norm :args ((= (or @t5212 @t5221) @t5220))) % 1.61/1.82 (step @p5108 :rule bool-impl-elim :args (@t696 @t1168)) % 1.61/1.82 (step @p5109 :rule refl :args (@t5212)) % 1.61/1.82 (step @p5110 :rule nary_cong :premises (@p5109 @p5108) :args ((or @t5212 @t1172))) % 1.61/1.82 (step @p5111 :rule trans :premises (@p5110 @p5107)) % 1.61/1.82 (step @p5112 :rule bool-impl-elim :args (@t1189 @t1172)) % 1.61/1.82 (step @p5113 :rule trans :premises (@p5112 @p5111)) % 1.61/1.82 (step @p5114 :rule nary_cong :premises (@p3166 @p5113) :args ((or @t197 @t1196))) % 1.61/1.82 (step @p5115 :rule trans :premises (@p5114 @p5106)) % 1.61/1.82 (step @p5116 :rule bool-impl-elim :args (@t7 @t1196)) % 1.61/1.82 (step @p5117 :rule trans :premises (@p5116 @p5115)) % 1.61/1.82 (step @p5118 :rule cong :premises (@p5117) :args (@t1197)) % 1.61/1.82 (step @p5119 :rule trans :premises (@p5118 @p5105)) % 1.61/1.82 (step @p5120 :rule cong :premises (@p2423 @p5119) :args (@t1198)) % 1.61/1.82 (step @p5121 :rule cong :premises (@p5120) :args (@t1199)) % 1.61/1.82 (step @p5122 :rule trans :premises (@p5121 @p5096)) % 1.61/1.82 (step @p5123 :rule cong :premises (@p2238 @p5122) :args (@t1200)) % 1.61/1.82 (step @p5124 :rule cong :premises (@p5123) :args (@t1201)) % 1.61/1.82 (step @p5125 :rule trans :premises (@p5124 @p5059)) % 1.61/1.82 (step @p5126 :rule refl :args (tptp.powersetTE1)) % 1.61/1.82 (step @p5127 :rule cong :premises (@p5126 @p5125) :args (@t1202)) % 1.61/1.82 (step @p5128 :rule eq_resolve :premises (@p235 @p5127)) % 1.61/1.82 (step @p5129 :rule cong :premises (@p5128 @p5041) :args (@t5222)) % 1.61/1.82 (step @p5130 :rule aci_norm :args ((= @t5224 @t2519))) % 1.61/1.82 (step @p5131 :rule cong :premises (@p5130) :args (@t5225)) % 1.61/1.82 (step @p5132 :rule quant-merge-prenex :args ((= (forall @t1141 @t5227) @t5225))) % 1.61/1.82 (step @p5133 :rule alpha_equiv :args (@t5228 (@list @t2513) @t4080)) % 1.61/1.82 (step @p5134 :rule nary_cong :premises (@p2143 @p5133) :args (@t5229)) % 1.61/1.82 (step @p5135 :rule quant-miniscope-or :args ((= @t5227 @t5229))) % 1.61/1.82 (step @p5136 :rule trans :premises (@p5135 @p5134)) % 1.61/1.82 (step @p5137 :rule symm :premises (@p5136)) % 1.61/1.82 (step @p5138 :rule cong :premises (@p5137) :args ((forall @t1141 (or @t2184 @t5231)))) % 1.61/1.82 (step @p5139 :rule trans :premises (@p5138 @p5132)) % 1.61/1.82 (step @p5140 :rule trans :premises (@p5139 @p5131)) % 1.61/1.82 (step @p5141 :rule refl :args (@t5231)) % 1.61/1.82 (step @p5142 :rule nary_cong :premises (@p2169 @p5141) :args (@t5232)) % 1.61/1.82 (step @p5143 :rule cong :premises (@p5142) :args ((forall @t1141 @t5232))) % 1.61/1.82 (step @p5144 :rule trans :premises (@p5143 @p5140)) % 1.61/1.82 (step @p5145 :rule bool-impl-elim :args (@t1139 @t5231)) % 1.61/1.82 (step @p5146 :rule cong :premises (@p5145) :args ((forall @t1141 (=> @t1139 @t5231)))) % 1.61/1.82 (step @p5147 :rule trans :premises (@p5146 @p5144)) % 1.61/1.82 (step @p5148 :rule refl :args (@t5230)) % 1.61/1.82 (step @p5149 :rule nary_cong :premises (@p2232 @p5148 @p5087) :args (@t5233)) % 1.61/1.82 (step @p5150 :rule cong :premises (@p5149) :args ((forall @t1137 @t5233))) % 1.61/1.82 (step @p5151 :rule aci_norm :args ((= (or @t4090 (or @t5230 @t1189)) @t5233))) % 1.61/1.82 (step @p5152 :rule bool-impl-elim :args (@t5211 @t1189)) % 1.61/1.82 (step @p5153 :rule nary_cong :premises (@p2300 @p5152) :args ((or @t4090 @t5234))) % 1.61/1.82 (step @p5154 :rule trans :premises (@p5153 @p5151)) % 1.61/1.82 (step @p5155 :rule bool-impl-elim :args (@t1136 @t5234)) % 1.61/1.82 (step @p5156 :rule trans :premises (@p5155 @p5154)) % 1.61/1.82 (step @p5157 :rule cong :premises (@p5156) :args ((forall @t1137 (=> @t1136 @t5234)))) % 1.61/1.82 (step @p5158 :rule trans :premises (@p5157 @p5150)) % 1.61/1.82 (step @p5159 :rule refl :args (@t1189)) % 1.61/1.82 (step @p5160 :rule aci_norm :args ((= (or @t197 @t5221) @t5215))) % 1.61/1.82 (step @p5161 :rule nary_cong :premises (@p3166 @p5108) :args ((or @t197 @t1172))) % 1.61/1.82 (step @p5162 :rule trans :premises (@p5161 @p5160)) % 1.61/1.82 (step @p5163 :rule bool-impl-elim :args (@t7 @t1172)) % 1.61/1.82 (step @p5164 :rule trans :premises (@p5163 @p5162)) % 1.61/1.82 (step @p5165 :rule cong :premises (@p5164) :args (@t1173)) % 1.61/1.82 (step @p5166 :rule trans :premises (@p5165 @p5098)) % 1.61/1.82 (step @p5167 :rule cong :premises (@p5166 @p5159) :args (@t1190)) % 1.61/1.82 (step @p5168 :rule cong :premises (@p2423 @p5167) :args (@t1191)) % 1.61/1.82 (step @p5169 :rule cong :premises (@p5168) :args (@t1192)) % 1.61/1.82 (step @p5170 :rule trans :premises (@p5169 @p5158)) % 1.61/1.82 (step @p5171 :rule cong :premises (@p2238 @p5170) :args (@t1193)) % 1.61/1.82 (step @p5172 :rule cong :premises (@p5171) :args (@t1194)) % 1.61/1.82 (step @p5173 :rule trans :premises (@p5172 @p5147)) % 1.61/1.82 (step @p5174 :rule refl :args (tptp.powersetTI1)) % 1.61/1.82 (step @p5175 :rule cong :premises (@p5174 @p5173) :args (@t1195)) % 1.61/1.82 (step @p5176 :rule eq_resolve :premises (@p234 @p5175)) % 1.61/1.82 (step @p5177 :rule cong :premises (@p5176 @p5129) :args (@t5235)) % 1.61/1.82 (step @p5178 :rule aci_norm :args ((= @t5237 @t2525))) % 1.61/1.82 (step @p5179 :rule cong :premises (@p5178) :args (@t5238)) % 1.61/1.82 (step @p5180 :rule quant-merge-prenex :args ((= (forall @t1141 @t5240) @t5238))) % 1.61/1.82 (step @p5181 :rule alpha_equiv :args (@t5241 (@list @t2521) @t4080)) % 1.61/1.82 (step @p5182 :rule nary_cong :premises (@p2143 @p5181) :args (@t5242)) % 1.61/1.82 (step @p5183 :rule quant-miniscope-or :args ((= @t5240 @t5242))) % 1.61/1.82 (step @p5184 :rule trans :premises (@p5183 @p5182)) % 1.61/1.82 (step @p5185 :rule symm :premises (@p5184)) % 1.61/1.82 (step @p5186 :rule cong :premises (@p5185) :args ((forall @t1141 (or @t2184 @t5243)))) % 1.61/1.82 (step @p5187 :rule trans :premises (@p5186 @p5180)) % 1.61/1.82 (step @p5188 :rule trans :premises (@p5187 @p5179)) % 1.61/1.82 (step @p5189 :rule refl :args (@t5243)) % 1.61/1.82 (step @p5190 :rule nary_cong :premises (@p2169 @p5189) :args (@t5244)) % 1.61/1.82 (step @p5191 :rule cong :premises (@p5190) :args ((forall @t1141 @t5244))) % 1.61/1.82 (step @p5192 :rule trans :premises (@p5191 @p5188)) % 1.61/1.82 (step @p5193 :rule bool-impl-elim :args (@t1139 @t5243)) % 1.61/1.82 (step @p5194 :rule cong :premises (@p5193) :args ((forall @t1141 (=> @t1139 @t5243)))) % 1.61/1.82 (step @p5195 :rule trans :premises (@p5194 @p5192)) % 1.61/1.82 (step @p5196 :rule nary_cong :premises (@p2232 @p5148 @p2823) :args (@t5245)) % 1.61/1.82 (step @p5197 :rule cong :premises (@p5196) :args ((forall @t1137 @t5245))) % 1.61/1.82 (step @p5198 :rule aci_norm :args ((= (or @t4090 (or @t5230 @t1181)) @t5245))) % 1.61/1.82 (step @p5199 :rule bool-impl-elim :args (@t5211 @t1181)) % 1.61/1.82 (step @p5200 :rule nary_cong :premises (@p2300 @p5199) :args ((or @t4090 @t5246))) % 1.61/1.82 (step @p5201 :rule trans :premises (@p5200 @p5198)) % 1.61/1.82 (step @p5202 :rule bool-impl-elim :args (@t1136 @t5246)) % 1.61/1.82 (step @p5203 :rule trans :premises (@p5202 @p5201)) % 1.61/1.82 (step @p5204 :rule cong :premises (@p5203) :args ((forall @t1137 (=> @t1136 @t5246)))) % 1.61/1.82 (step @p5205 :rule trans :premises (@p5204 @p5197)) % 1.61/1.82 (step @p5206 :rule refl :args (@t1181)) % 1.61/1.82 (step @p5207 :rule cong :premises (@p5166 @p5206) :args (@t1182)) % 1.61/1.82 (step @p5208 :rule cong :premises (@p2423 @p5207) :args (@t1183)) % 1.61/1.82 (step @p5209 :rule cong :premises (@p5208) :args (@t1184)) % 1.61/1.82 (step @p5210 :rule trans :premises (@p5209 @p5205)) % 1.61/1.82 (step @p5211 :rule cong :premises (@p2238 @p5210) :args (@t1185)) % 1.61/1.82 (step @p5212 :rule cong :premises (@p5211) :args (@t1186)) % 1.61/1.82 (step @p5213 :rule trans :premises (@p5212 @p5195)) % 1.61/1.82 (step @p5214 :rule refl :args (tptp.subsetTI)) % 1.61/1.82 (step @p5215 :rule cong :premises (@p5214 @p5213) :args (@t1187)) % 1.61/1.82 (step @p5216 :rule eq_resolve :premises (@p233 @p5215)) % 1.61/1.82 (step @p5217 :rule cong :premises (@p5216 @p5177) :args (@t5247)) % 1.61/1.82 (step @p5218 :rule aci_norm :args ((= @t5249 @t2533))) % 1.61/1.82 (step @p5219 :rule cong :premises (@p5218) :args (@t5250)) % 1.61/1.82 (step @p5220 :rule quant-merge-prenex :args ((= (forall @t1141 @t5252) @t5250))) % 1.61/1.82 (step @p5221 :rule alpha_equiv :args (@t5253 (@list @t2527) @t4080)) % 1.61/1.82 (step @p5222 :rule nary_cong :premises (@p2143 @p5221) :args (@t5254)) % 1.61/1.82 (step @p5223 :rule quant-miniscope-or :args ((= @t5252 @t5254))) % 1.61/1.82 (step @p5224 :rule trans :premises (@p5223 @p5222)) % 1.61/1.82 (step @p5225 :rule symm :premises (@p5224)) % 1.61/1.82 (step @p5226 :rule cong :premises (@p5225) :args ((forall @t1141 (or @t2184 @t5257)))) % 1.61/1.82 (step @p5227 :rule trans :premises (@p5226 @p5220)) % 1.61/1.82 (step @p5228 :rule trans :premises (@p5227 @p5219)) % 1.61/1.82 (step @p5229 :rule refl :args (@t5257)) % 1.61/1.82 (step @p5230 :rule nary_cong :premises (@p2169 @p5229) :args (@t5258)) % 1.61/1.82 (step @p5231 :rule cong :premises (@p5230) :args ((forall @t1141 @t5258))) % 1.61/1.82 (step @p5232 :rule trans :premises (@p5231 @p5228)) % 1.61/1.82 (step @p5233 :rule bool-impl-elim :args (@t1139 @t5257)) % 1.61/1.82 (step @p5234 :rule cong :premises (@p5233) :args ((forall @t1141 (=> @t1139 @t5257)))) % 1.61/1.82 (step @p5235 :rule trans :premises (@p5234 @p5232)) % 1.61/1.82 (step @p5236 :rule refl :args (@t1167)) % 1.61/1.82 (step @p5237 :rule refl :args (@t5256)) % 1.61/1.82 (step @p5238 :rule nary_cong :premises (@p2232 @p5148 @p5237 @p5236) :args (@t5259)) % 1.61/1.82 (step @p5239 :rule cong :premises (@p5238) :args ((forall @t1137 @t5259))) % 1.61/1.82 (step @p5240 :rule aci_norm :args ((= (or @t4090 @t5260) @t5259))) % 1.61/1.82 (step @p5241 :rule aci_norm :args ((= (or @t5230 (or @t5256 @t1167)) @t5260))) % 1.61/1.82 (step @p5242 :rule bool-impl-elim :args (@t5255 @t1167)) % 1.61/1.82 (step @p5243 :rule nary_cong :premises (@p5148 @p5242) :args ((or @t5230 @t5261))) % 1.61/1.82 (step @p5244 :rule trans :premises (@p5243 @p5241)) % 1.61/1.82 (step @p5245 :rule bool-impl-elim :args (@t5211 @t5261)) % 1.61/1.82 (step @p5246 :rule trans :premises (@p5245 @p5244)) % 1.61/1.82 (step @p5247 :rule nary_cong :premises (@p2300 @p5246) :args ((or @t4090 @t5262))) % 1.61/1.82 (step @p5248 :rule trans :premises (@p5247 @p5240)) % 1.61/1.82 (step @p5249 :rule bool-impl-elim :args (@t1136 @t5262)) % 1.61/1.82 (step @p5250 :rule trans :premises (@p5249 @p5248)) % 1.61/1.82 (step @p5251 :rule cong :premises (@p5250) :args ((forall @t1137 (=> @t1136 @t5262)))) % 1.61/1.82 (step @p5252 :rule trans :premises (@p5251 @p5239)) % 1.61/1.82 (step @p5253 :rule refl :args (@t1167)) % 1.61/1.82 (step @p5254 :rule nary_cong :premises (@p883 @p4176 @p3677) :args (@t5263)) % 1.61/1.82 (step @p5255 :rule cong :premises (@p5254) :args ((forall @t9 @t5263))) % 1.61/1.82 (step @p5256 :rule aci_norm :args ((= (or @t197 (or @t1225 @t696)) @t5263))) % 1.61/1.82 (step @p5257 :rule bool-impl-elim :args (@t1168 @t696)) % 1.61/1.82 (step @p5258 :rule nary_cong :premises (@p3166 @p5257) :args ((or @t197 @t1169))) % 1.61/1.82 (step @p5259 :rule trans :premises (@p5258 @p5256)) % 1.61/1.82 (step @p5260 :rule bool-impl-elim :args (@t7 @t1169)) % 1.61/1.82 (step @p5261 :rule trans :premises (@p5260 @p5259)) % 1.61/1.82 (step @p5262 :rule cong :premises (@p5261) :args (@t1170)) % 1.61/1.82 (step @p5263 :rule trans :premises (@p5262 @p5255)) % 1.61/1.82 (step @p5264 :rule cong :premises (@p5263 @p5253) :args (@t1171)) % 1.61/1.82 (step @p5265 :rule cong :premises (@p5166 @p5264) :args (@t1174)) % 1.61/1.82 (step @p5266 :rule cong :premises (@p2423 @p5265) :args (@t1175)) % 1.61/1.82 (step @p5267 :rule cong :premises (@p5266) :args (@t1176)) % 1.61/1.82 (step @p5268 :rule trans :premises (@p5267 @p5252)) % 1.61/1.82 (step @p5269 :rule cong :premises (@p2238 @p5268) :args (@t1177)) % 1.61/1.82 (step @p5270 :rule cong :premises (@p5269) :args (@t1178)) % 1.61/1.82 (step @p5271 :rule trans :premises (@p5270 @p5235)) % 1.61/1.82 (step @p5272 :rule refl :args (tptp.setextT)) % 1.61/1.82 (step @p5273 :rule cong :premises (@p5272 @p5271) :args (@t1179)) % 1.61/1.82 (step @p5274 :rule eq_resolve :premises (@p232 @p5273)) % 1.61/1.82 (step @p5275 :rule cong :premises (@p5274 @p5217) :args (@t5264)) % 1.61/1.82 (step @p5276 :rule refl :args ((tptp.in @t1162 @t33))) % 1.61/1.82 (step @p5277 :rule cong :premises (@p2178 @p2153) :args (@t2535)) % 1.61/1.82 (step @p5278 :rule trans :premises (@p5277 @p5276)) % 1.61/1.82 (step @p5279 :rule ho_cong :premises (@p2627 @p2153)) % 1.61/1.82 (step @p5280 :rule cong :premises (@p5279 @p5278) :args ((= (_ @t4210 @t2181) @t2535))) % 1.61/1.82 (step @p5281 :rule symm :premises (@p5280)) % 1.61/1.82 (step @p5282 :rule refl :args (@t1164)) % 1.61/1.82 (step @p5283 :rule eq_resolve :premises (@p5282 @p5281)) % 1.61/1.82 (step @p5284 :rule ho_cong :premises (@p2647 @p2166)) % 1.61/1.82 (step @p5285 :rule trans :premises (@p5284 @p5283)) % 1.61/1.82 (step @p5286 :rule nary_cong :premises (@p2169 @p5285) :args (@t5265)) % 1.61/1.82 (step @p5287 :rule cong :premises (@p5286) :args ((forall @t1141 @t5265))) % 1.61/1.82 (step @p5288 :rule bool-impl-elim :args (@t1139 @t1164)) % 1.61/1.82 (step @p5289 :rule cong :premises (@p5288) :args (@t1165)) % 1.61/1.82 (step @p5290 :rule trans :premises (@p5289 @p5287)) % 1.61/1.82 (step @p5291 :rule refl :args (tptp.complementT_lem)) % 1.61/1.82 (step @p5292 :rule cong :premises (@p5291 @p5290) :args (@t1166)) % 1.61/1.82 (step @p5293 :rule eq_resolve :premises (@p231 @p5292)) % 1.61/1.82 (step @p5294 :rule cong :premises (@p5293 @p5275) :args (@t5266)) % 1.61/1.82 (step @p5295 :rule aci_norm :args ((= @t5268 @t2539))) % 1.61/1.82 (step @p5296 :rule cong :premises (@p5295) :args (@t5269)) % 1.61/1.82 (step @p5297 :rule quant-merge-prenex :args ((= (forall @t1141 @t5271) @t5269))) % 1.61/1.82 (step @p5298 :rule alpha_equiv :args (@t5272 (@list @t2536) @t4080)) % 1.61/1.82 (step @p5299 :rule nary_cong :premises (@p2143 @p5298) :args (@t5273)) % 1.61/1.82 (step @p5300 :rule quant-miniscope-or :args ((= @t5271 @t5273))) % 1.61/1.82 (step @p5301 :rule trans :premises (@p5300 @p5299)) % 1.61/1.82 (step @p5302 :rule symm :premises (@p5301)) % 1.61/1.82 (step @p5303 :rule cong :premises (@p5302) :args ((forall @t1141 (or @t2184 @t5276)))) % 1.61/1.82 (step @p5304 :rule trans :premises (@p5303 @p5297)) % 1.61/1.82 (step @p5305 :rule trans :premises (@p5304 @p5296)) % 1.61/1.82 (step @p5306 :rule refl :args (@t5276)) % 1.61/1.82 (step @p5307 :rule nary_cong :premises (@p2169 @p5306) :args (@t5277)) % 1.61/1.82 (step @p5308 :rule cong :premises (@p5307) :args ((forall @t1141 @t5277))) % 1.61/1.82 (step @p5309 :rule trans :premises (@p5308 @p5305)) % 1.61/1.82 (step @p5310 :rule bool-impl-elim :args (@t1139 @t5276)) % 1.61/1.82 (step @p5311 :rule cong :premises (@p5310) :args ((forall @t1141 (=> @t1139 @t5276)))) % 1.61/1.82 (step @p5312 :rule trans :premises (@p5311 @p5309)) % 1.61/1.82 (step @p5313 :rule refl :args ((tptp.in @t1156 @t33))) % 1.61/1.82 (step @p5314 :rule refl :args (@t5274)) % 1.61/1.82 (step @p5315 :rule cong :premises (@p5314 @p2153) :args (@t5275)) % 1.61/1.82 (step @p5316 :rule trans :premises (@p5315 @p5313)) % 1.61/1.82 (step @p5317 :rule ho_cong :premises (@p895 @p5314)) % 1.61/1.82 (step @p5318 :rule ho_cong :premises (@p5317 @p2153)) % 1.61/1.82 (step @p5319 :rule cong :premises (@p5318 @p5316) :args ((= (_ (_ tptp.in @t5274) @t2181) @t5275))) % 1.61/1.82 (step @p5320 :rule symm :premises (@p5319)) % 1.61/1.82 (step @p5321 :rule refl :args (@t1157)) % 1.61/1.82 (step @p5322 :rule eq_resolve :premises (@p5321 @p5320)) % 1.61/1.82 (step @p5323 :rule refl :args (@t1156)) % 1.61/1.82 (step @p5324 :rule cong :premises (@p5323 @p5314) :args ((= @t1156 @t5274))) % 1.61/1.82 (step @p5325 :rule symm :premises (@p5324)) % 1.61/1.82 (step @p5326 :rule eq_resolve :premises (@p5323 @p5325)) % 1.61/1.82 (step @p5327 :rule ho_cong :premises (@p895 @p5326)) % 1.61/1.82 (step @p5328 :rule ho_cong :premises (@p5327 @p2166)) % 1.61/1.82 (step @p5329 :rule trans :premises (@p5328 @p5322)) % 1.61/1.82 (step @p5330 :rule nary_cong :premises (@p2232 @p5329) :args (@t5278)) % 1.61/1.82 (step @p5331 :rule cong :premises (@p5330) :args ((forall @t1137 @t5278))) % 1.61/1.82 (step @p5332 :rule bool-impl-elim :args (@t1136 @t1157)) % 1.61/1.82 (step @p5333 :rule cong :premises (@p5332) :args (@t1158)) % 1.61/1.82 (step @p5334 :rule trans :premises (@p5333 @p5331)) % 1.61/1.82 (step @p5335 :rule cong :premises (@p2238 @p5334) :args (@t1159)) % 1.61/1.82 (step @p5336 :rule cong :premises (@p5335) :args (@t1160)) % 1.61/1.82 (step @p5337 :rule trans :premises (@p5336 @p5312)) % 1.61/1.82 (step @p5338 :rule refl :args (tptp.setminusT_lem)) % 1.61/1.82 (step @p5339 :rule cong :premises (@p5338 @p5337) :args (@t1161)) % 1.61/1.82 (step @p5340 :rule eq_resolve :premises (@p230 @p5339)) % 1.61/1.82 (step @p5341 :rule cong :premises (@p5340 @p5294) :args (@t5279)) % 1.61/1.82 (step @p5342 :rule refl :args ((tptp.in @t1152 @t1151))) % 1.61/1.82 (step @p5343 :rule refl :args ((tptp.powerset @t33))) % 1.61/1.82 (step @p5344 :rule cong :premises (@p2153) :args (@t2541)) % 1.61/1.82 (step @p5345 :rule trans :premises (@p5344 @p5343)) % 1.61/1.82 (step @p5346 :rule refl :args (@t2542)) % 1.61/1.82 (step @p5347 :rule cong :premises (@p5346 @p5345) :args (@t2543)) % 1.61/1.82 (step @p5348 :rule trans :premises (@p5347 @p5342)) % 1.61/1.82 (step @p5349 :rule ho_cong :premises (@p895 @p5346)) % 1.61/1.82 (step @p5350 :rule ho_cong :premises (@p5349 @p5345)) % 1.61/1.82 (step @p5351 :rule cong :premises (@p5350 @p5348) :args ((= (_ (_ tptp.in @t2542) @t2541) @t2543))) % 1.61/1.82 (step @p5352 :rule symm :premises (@p5351)) % 1.61/1.82 (step @p5353 :rule refl :args (@t1153)) % 1.61/1.82 (step @p5354 :rule eq_resolve :premises (@p5353 @p5352)) % 1.61/1.82 (step @p5355 :rule ho_cong :premises (@p2193 @p2153)) % 1.61/1.82 (step @p5356 :rule cong :premises (@p5355 @p5345) :args ((= (_ tptp.powerset @t2181) @t2541))) % 1.61/1.82 (step @p5357 :rule symm :premises (@p5356)) % 1.61/1.82 (step @p5358 :rule refl :args (@t1151)) % 1.61/1.82 (step @p5359 :rule eq_resolve :premises (@p5358 @p5357)) % 1.61/1.82 (step @p5360 :rule ho_cong :premises (@p2193 @p2166)) % 1.61/1.82 (step @p5361 :rule trans :premises (@p5360 @p5359)) % 1.61/1.82 (step @p5362 :rule refl :args (@t1152)) % 1.61/1.82 (step @p5363 :rule cong :premises (@p5362 @p5346) :args ((= @t1152 @t2542))) % 1.61/1.82 (step @p5364 :rule symm :premises (@p5363)) % 1.61/1.82 (step @p5365 :rule eq_resolve :premises (@p5362 @p5364)) % 1.61/1.82 (step @p5366 :rule ho_cong :premises (@p895 @p5365)) % 1.61/1.82 (step @p5367 :rule ho_cong :premises (@p5366 @p5361)) % 1.61/1.82 (step @p5368 :rule trans :premises (@p5367 @p5354)) % 1.61/1.82 (step @p5369 :rule nary_cong :premises (@p2169 @p5368) :args (@t5280)) % 1.61/1.82 (step @p5370 :rule cong :premises (@p5369) :args ((forall @t1141 @t5280))) % 1.61/1.82 (step @p5371 :rule bool-impl-elim :args (@t1139 @t1153)) % 1.61/1.82 (step @p5372 :rule cong :premises (@p5371) :args (@t1154)) % 1.61/1.82 (step @p5373 :rule trans :premises (@p5372 @p5370)) % 1.61/1.82 (step @p5374 :rule refl :args (tptp.powersetT_lem)) % 1.61/1.82 (step @p5375 :rule cong :premises (@p5374 @p5373) :args (@t1155)) % 1.61/1.82 (step @p5376 :rule eq_resolve :premises (@p229 @p5375)) % 1.61/1.82 (step @p5377 :rule cong :premises (@p5376 @p5341) :args (@t5281)) % 1.61/1.82 (step @p5378 :rule aci_norm :args ((= @t5283 @t2547))) % 1.61/1.82 (step @p5379 :rule cong :premises (@p5378) :args (@t5284)) % 1.61/1.82 (step @p5380 :rule quant-merge-prenex :args ((= (forall @t1141 @t5286) @t5284))) % 1.61/1.82 (step @p5381 :rule alpha_equiv :args (@t5287 (@list @t2544) @t4080)) % 1.61/1.82 (step @p5382 :rule nary_cong :premises (@p2143 @p5381) :args (@t5288)) % 1.61/1.82 (step @p5383 :rule quant-miniscope-or :args ((= @t5286 @t5288))) % 1.61/1.82 (step @p5384 :rule trans :premises (@p5383 @p5382)) % 1.61/1.82 (step @p5385 :rule symm :premises (@p5384)) % 1.61/1.82 (step @p5386 :rule cong :premises (@p5385) :args ((forall @t1141 (or @t2184 @t5290)))) % 1.61/1.82 (step @p5387 :rule trans :premises (@p5386 @p5380)) % 1.61/1.82 (step @p5388 :rule trans :premises (@p5387 @p5379)) % 1.61/1.82 (step @p5389 :rule refl :args (@t5290)) % 1.61/1.82 (step @p5390 :rule nary_cong :premises (@p2169 @p5389) :args (@t5291)) % 1.61/1.82 (step @p5391 :rule cong :premises (@p5390) :args ((forall @t1141 @t5291))) % 1.61/1.82 (step @p5392 :rule trans :premises (@p5391 @p5388)) % 1.61/1.82 (step @p5393 :rule bool-impl-elim :args (@t1139 @t5290)) % 1.61/1.82 (step @p5394 :rule cong :premises (@p5393) :args ((forall @t1141 (=> @t1139 @t5290)))) % 1.61/1.82 (step @p5395 :rule trans :premises (@p5394 @p5392)) % 1.61/1.82 (step @p5396 :rule refl :args ((tptp.in @t1145 @t33))) % 1.61/1.82 (step @p5397 :rule cong :premises (@p2182 @p2153) :args (@t5289)) % 1.61/1.82 (step @p5398 :rule trans :premises (@p5397 @p5396)) % 1.61/1.82 (step @p5399 :rule ho_cong :premises (@p895 @p2182)) % 1.61/1.82 (step @p5400 :rule ho_cong :premises (@p5399 @p2153)) % 1.61/1.82 (step @p5401 :rule cong :premises (@p5400 @p5398) :args ((= (_ (_ tptp.in @t4082) @t2181) @t5289))) % 1.61/1.82 (step @p5402 :rule symm :premises (@p5401)) % 1.61/1.82 (step @p5403 :rule refl :args (@t1146)) % 1.61/1.82 (step @p5404 :rule eq_resolve :premises (@p5403 @p5402)) % 1.61/1.82 (step @p5405 :rule ho_cong :premises (@p895 @p2214)) % 1.61/1.82 (step @p5406 :rule ho_cong :premises (@p5405 @p2166)) % 1.61/1.82 (step @p5407 :rule trans :premises (@p5406 @p5404)) % 1.61/1.82 (step @p5408 :rule nary_cong :premises (@p2232 @p5407) :args (@t5292)) % 1.61/1.82 (step @p5409 :rule cong :premises (@p5408) :args ((forall @t1137 @t5292))) % 1.61/1.82 (step @p5410 :rule bool-impl-elim :args (@t1136 @t1146)) % 1.61/1.82 (step @p5411 :rule cong :premises (@p5410) :args (@t1147)) % 1.61/1.82 (step @p5412 :rule trans :premises (@p5411 @p5409)) % 1.61/1.82 (step @p5413 :rule cong :premises (@p2238 @p5412) :args (@t1148)) % 1.61/1.82 (step @p5414 :rule cong :premises (@p5413) :args (@t1149)) % 1.61/1.82 (step @p5415 :rule trans :premises (@p5414 @p5395)) % 1.61/1.82 (step @p5416 :rule refl :args (tptp.binunionT_lem)) % 1.61/1.82 (step @p5417 :rule cong :premises (@p5416 @p5415) :args (@t1150)) % 1.61/1.82 (step @p5418 :rule eq_resolve :premises (@p228 @p5417)) % 1.61/1.82 (step @p5419 :rule cong :premises (@p5418 @p5377) :args (@t5293)) % 1.61/1.82 (step @p5420 :rule aci_norm :args ((= @t5295 @t2552))) % 1.61/1.82 (step @p5421 :rule cong :premises (@p5420) :args (@t5296)) % 1.61/1.82 (step @p5422 :rule quant-merge-prenex :args ((= (forall @t1141 @t5298) @t5296))) % 1.61/1.82 (step @p5423 :rule alpha_equiv :args (@t5299 (@list @t2549) @t4080)) % 1.61/1.82 (step @p5424 :rule nary_cong :premises (@p2143 @p5423) :args (@t5300)) % 1.61/1.82 (step @p5425 :rule quant-miniscope-or :args ((= @t5298 @t5300))) % 1.61/1.82 (step @p5426 :rule trans :premises (@p5425 @p5424)) % 1.61/1.82 (step @p5427 :rule symm :premises (@p5426)) % 1.61/1.82 (step @p5428 :rule cong :premises (@p5427) :args ((forall @t1141 (or @t2184 @t5302)))) % 1.61/1.82 (step @p5429 :rule trans :premises (@p5428 @p5422)) % 1.61/1.82 (step @p5430 :rule trans :premises (@p5429 @p5421)) % 1.61/1.82 (step @p5431 :rule refl :args (@t5302)) % 1.61/1.82 (step @p5432 :rule nary_cong :premises (@p2169 @p5431) :args (@t5303)) % 1.61/1.82 (step @p5433 :rule cong :premises (@p5432) :args ((forall @t1141 @t5303))) % 1.61/1.82 (step @p5434 :rule trans :premises (@p5433 @p5430)) % 1.61/1.82 (step @p5435 :rule bool-impl-elim :args (@t1139 @t5302)) % 1.61/1.82 (step @p5436 :rule cong :premises (@p5435) :args ((forall @t1141 (=> @t1139 @t5302)))) % 1.61/1.82 (step @p5437 :rule trans :premises (@p5436 @p5434)) % 1.61/1.82 (step @p5438 :rule refl :args ((tptp.in @t1132 @t33))) % 1.61/1.82 (step @p5439 :rule cong :premises (@p2364 @p2153) :args (@t5301)) % 1.61/1.82 (step @p5440 :rule trans :premises (@p5439 @p5438)) % 1.61/1.82 (step @p5441 :rule ho_cong :premises (@p2367 @p2153)) % 1.61/1.82 (step @p5442 :rule cong :premises (@p5441 @p5440) :args ((= (_ @t4141 @t2181) @t5301))) % 1.61/1.82 (step @p5443 :rule symm :premises (@p5442)) % 1.61/1.82 (step @p5444 :rule refl :args (@t1134)) % 1.61/1.82 (step @p5445 :rule eq_resolve :premises (@p5444 @p5443)) % 1.61/1.82 (step @p5446 :rule ho_cong :premises (@p2402 @p2166)) % 1.61/1.82 (step @p5447 :rule trans :premises (@p5446 @p5445)) % 1.61/1.82 (step @p5448 :rule nary_cong :premises (@p2232 @p5447) :args (@t5304)) % 1.61/1.82 (step @p5449 :rule cong :premises (@p5448) :args ((forall @t1137 @t5304))) % 1.61/1.82 (step @p5450 :rule bool-impl-elim :args (@t1136 @t1134)) % 1.61/1.82 (step @p5451 :rule cong :premises (@p5450) :args (@t1138)) % 1.61/1.82 (step @p5452 :rule trans :premises (@p5451 @p5449)) % 1.61/1.82 (step @p5453 :rule cong :premises (@p2238 @p5452) :args (@t1140)) % 1.61/1.82 (step @p5454 :rule cong :premises (@p5453) :args (@t1142)) % 1.61/1.82 (step @p5455 :rule trans :premises (@p5454 @p5437)) % 1.61/1.82 (step @p5456 :rule refl :args (tptp.binintersectT_lem)) % 1.61/1.82 (step @p5457 :rule cong :premises (@p5456 @p5455) :args (@t1143)) % 1.61/1.82 (step @p5458 :rule eq_resolve :premises (@p227 @p5457)) % 1.61/1.82 (step @p5459 :rule cong :premises (@p5458 @p5419) :args (@t5305)) % 1.61/1.82 (step @p5460 :rule aci_norm :args ((= @t5307 @t2557))) % 1.61/1.82 (step @p5461 :rule cong :premises (@p5460) :args (@t5308)) % 1.61/1.82 (step @p5462 :rule quant-merge-prenex :args ((= (forall @t1074 @t5310) @t5308))) % 1.61/1.82 (step @p5463 :rule alpha_equiv :args (@t5311 (@list @t2554) @t3627)) % 1.61/1.82 (step @p5464 :rule nary_cong :premises (@p869 @p5463) :args (@t5312)) % 1.61/1.82 (step @p5465 :rule quant-miniscope-or :args ((= @t5310 @t5312))) % 1.61/1.82 (step @p5466 :rule trans :premises (@p5465 @p5464)) % 1.61/1.82 (step @p5467 :rule symm :premises (@p5466)) % 1.61/1.82 (step @p5468 :rule cong :premises (@p5467) :args ((forall @t1074 (or @t2125 @t5315)))) % 1.61/1.82 (step @p5469 :rule trans :premises (@p5468 @p5462)) % 1.61/1.82 (step @p5470 :rule trans :premises (@p5469 @p5461)) % 1.61/1.82 (step @p5471 :rule refl :args (@t5315)) % 1.61/1.82 (step @p5472 :rule nary_cong :premises (@p883 @p5471) :args (@t5316)) % 1.61/1.82 (step @p5473 :rule cong :premises (@p5472) :args ((forall @t1074 @t5316))) % 1.61/1.82 (step @p5474 :rule trans :premises (@p5473 @p5470)) % 1.61/1.82 (step @p5475 :rule bool-impl-elim :args (@t7 @t5315)) % 1.61/1.82 (step @p5476 :rule cong :premises (@p5475) :args ((forall @t1074 (=> @t7 @t5315)))) % 1.61/1.82 (step @p5477 :rule trans :premises (@p5476 @p5474)) % 1.61/1.82 (step @p5478 :rule refl :args ((tptp.in @t1102 @t293))) % 1.61/1.82 (step @p5479 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 1.61/1.82 (step @p5480 :rule refl :args (@t2837)) % 1.61/1.82 (step @p5481 :rule cong :premises (@p3047 @p5480) :args (@t2838)) % 1.61/1.82 (step @p5482 :rule trans :premises (@p5481 @p5479)) % 1.61/1.82 (step @p5483 :rule refl :args (@t5313)) % 1.61/1.82 (step @p5484 :rule cong :premises (@p5483 @p5482) :args (@t5314)) % 1.61/1.82 (step @p5485 :rule trans :premises (@p5484 @p5478)) % 1.61/1.82 (step @p5486 :rule ho_cong :premises (@p895 @p5483)) % 1.61/1.82 (step @p5487 :rule ho_cong :premises (@p5486 @p5482)) % 1.61/1.82 (step @p5488 :rule cong :premises (@p5487 @p5485) :args ((= (_ @t5317 @t2838) @t5314))) % 1.61/1.82 (step @p5489 :rule symm :premises (@p5488)) % 1.61/1.82 (step @p5490 :rule refl :args (@t1126)) % 1.61/1.82 (step @p5491 :rule eq_resolve :premises (@p5490 @p5489)) % 1.61/1.82 (step @p5492 :rule refl :args (@t24)) % 1.61/1.82 (step @p5493 :rule ho_cong :premises (@p5492 @p5480)) % 1.61/1.82 (step @p5494 :rule cong :premises (@p5493 @p5482) :args ((= (_ @t24 @t2837) @t2838))) % 1.61/1.82 (step @p5495 :rule symm :premises (@p5494)) % 1.61/1.82 (step @p5496 :rule refl :args (@t293)) % 1.61/1.82 (step @p5497 :rule eq_resolve :premises (@p5496 @p5495)) % 1.61/1.82 (step @p5498 :rule refl :args (@t275)) % 1.61/1.82 (step @p5499 :rule cong :premises (@p5498 @p5480) :args ((= @t275 @t2837))) % 1.61/1.82 (step @p5500 :rule symm :premises (@p5499)) % 1.61/1.82 (step @p5501 :rule eq_resolve :premises (@p5498 @p5500)) % 1.61/1.82 (step @p5502 :rule ho_cong :premises (@p5492 @p5501)) % 1.61/1.82 (step @p5503 :rule trans :premises (@p5502 @p5497)) % 1.61/1.82 (step @p5504 :rule refl :args (@t1102)) % 1.61/1.82 (step @p5505 :rule cong :premises (@p5504 @p5483) :args ((= @t1102 @t5313))) % 1.61/1.82 (step @p5506 :rule symm :premises (@p5505)) % 1.61/1.82 (step @p5507 :rule eq_resolve :premises (@p5504 @p5506)) % 1.61/1.82 (step @p5508 :rule ho_cong :premises (@p895 @p5507)) % 1.61/1.82 (step @p5509 :rule ho_cong :premises (@p5508 @p5503)) % 1.61/1.82 (step @p5510 :rule trans :premises (@p5509 @p5491)) % 1.61/1.82 (step @p5511 :rule nary_cong :premises (@p930 @p5510) :args (@t5318)) % 1.61/1.82 (step @p5512 :rule cong :premises (@p5511) :args ((forall @t70 @t5318))) % 1.61/1.82 (step @p5513 :rule bool-impl-elim :args (@t21 @t1126)) % 1.61/1.82 (step @p5514 :rule cong :premises (@p5513) :args (@t1127)) % 1.61/1.82 (step @p5515 :rule trans :premises (@p5514 @p5512)) % 1.61/1.82 (step @p5516 :rule cong :premises (@p942 @p5515) :args (@t1128)) % 1.61/1.82 (step @p5517 :rule cong :premises (@p5516) :args (@t1129)) % 1.61/1.82 (step @p5518 :rule trans :premises (@p5517 @p5477)) % 1.61/1.82 (step @p5519 :rule refl :args (tptp.iftrueorfalse)) % 1.61/1.82 (step @p5520 :rule cong :premises (@p5519 @p5518) :args (@t1130)) % 1.61/1.82 (step @p5521 :rule eq_resolve :premises (@p226 @p5520)) % 1.61/1.82 (step @p5522 :rule cong :premises (@p5521 @p5459) :args (@t5319)) % 1.61/1.82 (step @p5523 :rule aci_norm :args ((= @t5320 @t2562))) % 1.61/1.82 (step @p5524 :rule cong :premises (@p5523) :args ((forall @t2563 @t5320))) % 1.61/1.82 (step @p5525 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t2125 @t173 @t2561 @t5321)) @t5320))) % 1.61/1.82 (step @p5526 :rule refl :args (@t5321)) % 1.61/1.82 (step @p5527 :rule refl :args (@t2561)) % 1.61/1.82 (step @p5528 :rule nary_cong :premises (@p1185 @p869 @p1178 @p5527 @p5526) :args (@t5322)) % 1.61/1.82 (step @p5529 :rule aci_norm :args ((= @t5323 @t5322))) % 1.61/1.82 (step @p5530 :rule trans :premises (@p5529 @p5528)) % 1.61/1.82 (step @p5531 :rule cong :premises (@p5530) :args (@t5324)) % 1.61/1.82 (step @p5532 :rule trans :premises (@p5531 @p5525)) % 1.61/1.82 (step @p5533 :rule cong :premises (@p5532) :args (@t5325)) % 1.61/1.82 (step @p5534 :rule quant-merge-prenex :args ((= @t5325 @t5326))) % 1.61/1.82 (step @p5535 :rule symm :premises (@p5534)) % 1.61/1.82 (step @p5536 :rule quant_var_reordering :args ((= (forall @t5327 @t5323) @t5326))) % 1.61/1.82 (step @p5537 :rule trans :premises (@p5536 @p5535 @p5533)) % 1.61/1.82 (step @p5538 :rule trans :premises (@p5537 @p5524)) % 1.61/1.82 (step @p5539 :rule aci_norm :args ((= @t5329 @t5323))) % 1.61/1.82 (step @p5540 :rule cong :premises (@p5539) :args (@t5330)) % 1.61/1.82 (step @p5541 :rule trans :premises (@p5540 @p5538)) % 1.61/1.82 (step @p5542 :rule quant-merge-prenex :args ((= (forall @t1074 @t5332) @t5330))) % 1.61/1.82 (step @p5543 :rule alpha_equiv :args (@t5333 (@list @t2559) @t3627)) % 1.61/1.82 (step @p5544 :rule nary_cong :premises (@p869 @p1178 @p5543) :args (@t5334)) % 1.61/1.82 (step @p5545 :rule quant-miniscope-or :args ((= @t5332 @t5334))) % 1.61/1.82 (step @p5546 :rule trans :premises (@p5545 @p5544)) % 1.61/1.82 (step @p5547 :rule symm :premises (@p5546)) % 1.61/1.82 (step @p5548 :rule cong :premises (@p5547) :args ((forall @t1074 (or @t2125 @t173 @t5335)))) % 1.61/1.82 (step @p5549 :rule trans :premises (@p5548 @p5542)) % 1.61/1.82 (step @p5550 :rule trans :premises (@p5549 @p5541)) % 1.61/1.82 (step @p5551 :rule refl :args (@t5335)) % 1.61/1.82 (step @p5552 :rule nary_cong :premises (@p883 @p1178 @p5551) :args (@t5336)) % 1.61/1.82 (step @p5553 :rule cong :premises (@p5552) :args ((forall @t1074 @t5336))) % 1.61/1.82 (step @p5554 :rule trans :premises (@p5553 @p5550)) % 1.61/1.82 (step @p5555 :rule aci_norm :args ((= (or @t197 @t5337) @t5336))) % 1.61/1.82 (step @p5556 :rule bool-impl-elim :args (@t7 @t5337)) % 1.61/1.82 (step @p5557 :rule trans :premises (@p5556 @p5555)) % 1.61/1.82 (step @p5558 :rule cong :premises (@p5557) :args ((forall @t1074 (=> @t7 @t5337)))) % 1.61/1.82 (step @p5559 :rule trans :premises (@p5558 @p5554)) % 1.61/1.82 (step @p5560 :rule refl :args (@t19)) % 1.61/1.82 (step @p5561 :rule cong :premises (@p5560 @p5507) :args (@t5338)) % 1.61/1.82 (step @p5562 :rule nary_cong :premises (@p930 @p5561) :args (@t5339)) % 1.61/1.82 (step @p5563 :rule cong :premises (@p5562) :args (@t5340)) % 1.61/1.82 (step @p5564 :rule nary_cong :premises (@p1198 @p5563) :args (@t5341)) % 1.61/1.82 (step @p5565 :rule quant-miniscope-or :args ((= (forall @t70 @t5342) @t5341))) % 1.61/1.82 (step @p5566 :rule aci_norm :args ((= @t5343 @t5342))) % 1.61/1.82 (step @p5567 :rule cong :premises (@p5566) :args ((forall @t70 @t5343))) % 1.61/1.82 (step @p5568 :rule trans :premises (@p5567 @p5565)) % 1.61/1.82 (step @p5569 :rule trans :premises (@p5568 @p5564)) % 1.61/1.82 (step @p5570 :rule aci_norm :args ((= (or @t3636 (or @t173 @t5338)) @t5343))) % 1.61/1.82 (step @p5571 :rule refl :args (@t5338)) % 1.61/1.82 (step @p5572 :rule nary_cong :premises (@p1183 @p5571) :args ((or @t3758 @t5338))) % 1.61/1.82 (step @p5573 :rule bool-impl-elim :args (@t1063 @t5338)) % 1.61/1.82 (step @p5574 :rule trans :premises (@p5573 @p5572)) % 1.61/1.82 (step @p5575 :rule nary_cong :premises (@p935 @p5574) :args ((or @t3636 @t5344))) % 1.61/1.82 (step @p5576 :rule trans :premises (@p5575 @p5570)) % 1.61/1.82 (step @p5577 :rule bool-impl-elim :args (@t21 @t5344)) % 1.61/1.82 (step @p5578 :rule trans :premises (@p5577 @p5576)) % 1.61/1.82 (step @p5579 :rule cong :premises (@p5578) :args ((forall @t70 (=> @t21 @t5344)))) % 1.61/1.82 (step @p5580 :rule trans :premises (@p5579 @p5569)) % 1.61/1.82 (step @p5581 :rule eq-symm :args (@t1102 @t19)) % 1.61/1.82 (step @p5582 :rule refl :args (@t1063)) % 1.61/1.82 (step @p5583 :rule cong :premises (@p5582 @p5581) :args (@t1120)) % 1.61/1.82 (step @p5584 :rule cong :premises (@p1269 @p5583) :args (@t1121)) % 1.61/1.82 (step @p5585 :rule cong :premises (@p5584) :args (@t1122)) % 1.61/1.82 (step @p5586 :rule trans :premises (@p5585 @p5580)) % 1.61/1.82 (step @p5587 :rule cong :premises (@p942 @p5586) :args (@t1123)) % 1.61/1.82 (step @p5588 :rule cong :premises (@p5587) :args (@t1124)) % 1.61/1.82 (step @p5589 :rule trans :premises (@p5588 @p5559)) % 1.61/1.82 (step @p5590 :rule refl :args (tptp.iffalse)) % 1.61/1.82 (step @p5591 :rule cong :premises (@p5590 @p5589) :args (@t1125)) % 1.61/1.82 (step @p5592 :rule eq_resolve :premises (@p225 @p5591)) % 1.61/1.82 (step @p5593 :rule cong :premises (@p5592 @p5522) :args (@t5345)) % 1.61/1.82 (step @p5594 :rule aci_norm :args ((= (or @t2125 false @t2566 @t2565) @t2567))) % 1.61/1.82 (step @p5595 :rule refl :args (@t2565)) % 1.61/1.82 (step @p5596 :rule refl :args (@t2566)) % 1.61/1.82 (step @p5597 :rule evaluate :args (@t5346)) % 1.61/1.82 (step @p5598 :rule nary_cong :premises (@p3756 @p5597 @p5596 @p5595) :args (@t5347)) % 1.61/1.82 (step @p5599 :rule trans :premises (@p5598 @p5594)) % 1.61/1.82 (step @p5600 :rule cong :premises (@p5599) :args ((forall @t2568 @t5347))) % 1.61/1.82 (step @p5601 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5349 @t2125 @t1063 @t2566 @t5348)) @t5347))) % 1.61/1.82 (step @p5602 :rule refl :args (@t5348)) % 1.61/1.82 (step @p5603 :rule refl :args (@t2566)) % 1.61/1.82 (step @p5604 :rule bool-eq-true :args (@t173)) % 1.61/1.82 (step @p5605 :rule symm :premises (@p5604)) % 1.61/1.82 (step @p5606 :rule cong :premises (@p5605) :args (@t1063)) % 1.61/1.82 (step @p5607 :rule nary_cong :premises (@p5606 @p869 @p3776 @p5603 @p5602) :args (@t5350)) % 1.61/1.82 (step @p5608 :rule aci_norm :args ((= @t5351 @t5350))) % 1.61/1.82 (step @p5609 :rule trans :premises (@p5608 @p5607)) % 1.61/1.82 (step @p5610 :rule cong :premises (@p5609) :args (@t5352)) % 1.61/1.82 (step @p5611 :rule trans :premises (@p5610 @p5601)) % 1.61/1.82 (step @p5612 :rule cong :premises (@p5611) :args (@t5353)) % 1.61/1.82 (step @p5613 :rule quant-merge-prenex :args ((= @t5353 @t5354))) % 1.61/1.82 (step @p5614 :rule symm :premises (@p5613)) % 1.61/1.82 (step @p5615 :rule quant_var_reordering :args ((= (forall @t5355 @t5351) @t5354))) % 1.61/1.82 (step @p5616 :rule trans :premises (@p5615 @p5614 @p5612)) % 1.61/1.82 (step @p5617 :rule trans :premises (@p5616 @p5600)) % 1.61/1.82 (step @p5618 :rule aci_norm :args ((= @t5357 @t5351))) % 1.61/1.82 (step @p5619 :rule cong :premises (@p5618) :args (@t5358)) % 1.61/1.82 (step @p5620 :rule trans :premises (@p5619 @p5617)) % 1.61/1.82 (step @p5621 :rule quant-merge-prenex :args ((= (forall @t1074 @t5360) @t5358))) % 1.61/1.82 (step @p5622 :rule alpha_equiv :args (@t5361 (@list @t2564) @t3627)) % 1.61/1.82 (step @p5623 :rule nary_cong :premises (@p869 @p3776 @p5622) :args (@t5362)) % 1.61/1.82 (step @p5624 :rule quant-miniscope-or :args ((= @t5360 @t5362))) % 1.61/1.82 (step @p5625 :rule trans :premises (@p5624 @p5623)) % 1.61/1.82 (step @p5626 :rule symm :premises (@p5625)) % 1.61/1.82 (step @p5627 :rule cong :premises (@p5626) :args ((forall @t1074 (or @t2125 @t1063 @t5363)))) % 1.61/1.82 (step @p5628 :rule trans :premises (@p5627 @p5621)) % 1.61/1.82 (step @p5629 :rule trans :premises (@p5628 @p5620)) % 1.61/1.82 (step @p5630 :rule refl :args (@t5363)) % 1.61/1.82 (step @p5631 :rule nary_cong :premises (@p883 @p3776 @p5630) :args (@t5364)) % 1.61/1.82 (step @p5632 :rule cong :premises (@p5631) :args ((forall @t1074 @t5364))) % 1.61/1.82 (step @p5633 :rule trans :premises (@p5632 @p5629)) % 1.61/1.82 (step @p5634 :rule aci_norm :args ((= (or @t197 @t5365) @t5364))) % 1.61/1.82 (step @p5635 :rule bool-impl-elim :args (@t7 @t5365)) % 1.61/1.82 (step @p5636 :rule trans :premises (@p5635 @p5634)) % 1.61/1.82 (step @p5637 :rule cong :premises (@p5636) :args ((forall @t1074 (=> @t7 @t5365)))) % 1.61/1.82 (step @p5638 :rule trans :premises (@p5637 @p5633)) % 1.61/1.82 (step @p5639 :rule cong :premises (@p3047 @p5507) :args (@t5366)) % 1.61/1.82 (step @p5640 :rule nary_cong :premises (@p930 @p5639) :args (@t5367)) % 1.61/1.82 (step @p5641 :rule cong :premises (@p5640) :args (@t5368)) % 1.61/1.82 (step @p5642 :rule nary_cong :premises (@p5582 @p5641) :args (@t5369)) % 1.61/1.82 (step @p5643 :rule quant-miniscope-or :args ((= (forall @t70 @t5370) @t5369))) % 1.61/1.82 (step @p5644 :rule aci_norm :args ((= @t5371 @t5370))) % 1.61/1.82 (step @p5645 :rule cong :premises (@p5644) :args ((forall @t70 @t5371))) % 1.61/1.82 (step @p5646 :rule trans :premises (@p5645 @p5643)) % 1.61/1.82 (step @p5647 :rule trans :premises (@p5646 @p5642)) % 1.61/1.82 (step @p5648 :rule aci_norm :args ((= (or @t3636 (or @t1063 @t5366)) @t5371))) % 1.61/1.82 (step @p5649 :rule bool-impl-elim :args (@t173 @t5366)) % 1.61/1.82 (step @p5650 :rule nary_cong :premises (@p935 @p5649) :args ((or @t3636 @t5372))) % 1.61/1.82 (step @p5651 :rule trans :premises (@p5650 @p5648)) % 1.61/1.82 (step @p5652 :rule bool-impl-elim :args (@t21 @t5372)) % 1.61/1.82 (step @p5653 :rule trans :premises (@p5652 @p5651)) % 1.61/1.82 (step @p5654 :rule cong :premises (@p5653) :args ((forall @t70 (=> @t21 @t5372)))) % 1.61/1.82 (step @p5655 :rule trans :premises (@p5654 @p5647)) % 1.61/1.82 (step @p5656 :rule eq-symm :args (@t1102 @t4)) % 1.61/1.82 (step @p5657 :rule cong :premises (@p1198 @p5656) :args (@t1114)) % 1.61/1.82 (step @p5658 :rule cong :premises (@p1269 @p5657) :args (@t1115)) % 1.61/1.82 (step @p5659 :rule cong :premises (@p5658) :args (@t1116)) % 1.61/1.82 (step @p5660 :rule trans :premises (@p5659 @p5655)) % 1.61/1.82 (step @p5661 :rule cong :premises (@p942 @p5660) :args (@t1117)) % 1.61/1.82 (step @p5662 :rule cong :premises (@p5661) :args (@t1118)) % 1.61/1.82 (step @p5663 :rule trans :premises (@p5662 @p5638)) % 1.61/1.82 (step @p5664 :rule refl :args (tptp.iftrue)) % 1.61/1.82 (step @p5665 :rule cong :premises (@p5664 @p5663) :args (@t1119)) % 1.61/1.82 (step @p5666 :rule eq_resolve :premises (@p224 @p5665)) % 1.61/1.82 (step @p5667 :rule cong :premises (@p5666 @p5593) :args (@t5373)) % 1.61/1.82 (step @p5668 :rule eq-symm :args (@t2569 @t2570)) % 1.61/1.82 (step @p5669 :rule refl :args (@t2571)) % 1.61/1.82 (step @p5670 :rule refl :args (@t2573)) % 1.61/1.82 (step @p5671 :rule nary_cong :premises (@p5670 @p5669 @p5668) :args (@t5375)) % 1.61/1.82 (step @p5672 :rule aci_norm :args ((= @t5377 @t5375))) % 1.61/1.82 (step @p5673 :rule trans :premises (@p5672 @p5671)) % 1.61/1.82 (step @p5674 :rule cong :premises (@p5673) :args (@t5378)) % 1.61/1.82 (step @p5675 :rule quant-merge-prenex :args ((= (forall @t700 @t5380) @t5378))) % 1.61/1.82 (step @p5676 :rule alpha_equiv :args (@t5381 (@list @t2569) @t3992)) % 1.61/1.82 (step @p5677 :rule refl :args (@t2573)) % 1.61/1.82 (step @p5678 :rule nary_cong :premises (@p5677 @p5676) :args (@t5382)) % 1.61/1.82 (step @p5679 :rule quant-miniscope-or :args ((= @t5380 @t5382))) % 1.61/1.82 (step @p5680 :rule trans :premises (@p5679 @p5678)) % 1.61/1.82 (step @p5681 :rule symm :premises (@p5680)) % 1.61/1.82 (step @p5682 :rule cong :premises (@p5681) :args ((forall @t700 (or @t2573 @t5383)))) % 1.61/1.82 (step @p5683 :rule trans :premises (@p5682 @p5675)) % 1.61/1.82 (step @p5684 :rule trans :premises (@p5683 @p5674)) % 1.61/1.82 (step @p5685 :rule refl :args (@t5383)) % 1.61/1.82 (step @p5686 :rule refl :args (@t2572)) % 1.61/1.82 (step @p5687 :rule refl :args (@t762)) % 1.61/1.82 (step @p5688 :rule cong :premises (@p5687 @p5686) :args ((= @t762 @t2572))) % 1.61/1.82 (step @p5689 :rule symm :premises (@p5688)) % 1.61/1.82 (step @p5690 :rule eq_resolve :premises (@p5687 @p5689)) % 1.61/1.82 (step @p5691 :rule cong :premises (@p5690) :args (@t5384)) % 1.61/1.82 (step @p5692 :rule nary_cong :premises (@p5691 @p5685) :args (@t5385)) % 1.61/1.82 (step @p5693 :rule cong :premises (@p5692) :args ((forall @t700 @t5385))) % 1.61/1.82 (step @p5694 :rule trans :premises (@p5693 @p5684)) % 1.61/1.82 (step @p5695 :rule bool-impl-elim :args (@t762 @t5383)) % 1.61/1.82 (step @p5696 :rule cong :premises (@p5695) :args ((forall @t700 (=> @t762 @t5383)))) % 1.61/1.82 (step @p5697 :rule trans :premises (@p5696 @p5694)) % 1.61/1.82 (step @p5698 :rule refl :args (@t2570)) % 1.61/1.82 (step @p5699 :rule refl :args (@t760)) % 1.61/1.82 (step @p5700 :rule cong :premises (@p5699 @p5698) :args ((= @t760 @t2570))) % 1.61/1.82 (step @p5701 :rule symm :premises (@p5700)) % 1.61/1.82 (step @p5702 :rule eq_resolve :premises (@p5699 @p5701)) % 1.61/1.82 (step @p5703 :rule cong :premises (@p3047 @p5702) :args (@t5386)) % 1.61/1.82 (step @p5704 :rule nary_cong :premises (@p3854 @p5703) :args (@t5387)) % 1.61/1.82 (step @p5705 :rule cong :premises (@p5704) :args ((forall @t9 @t5387))) % 1.61/1.82 (step @p5706 :rule bool-impl-elim :args (@t696 @t5386)) % 1.61/1.82 (step @p5707 :rule cong :premises (@p5706) :args ((forall @t9 (=> @t696 @t5386)))) % 1.61/1.82 (step @p5708 :rule trans :premises (@p5707 @p5705)) % 1.61/1.82 (step @p5709 :rule eq-symm :args (@t760 @t4)) % 1.61/1.82 (step @p5710 :rule refl :args (@t696)) % 1.61/1.82 (step @p5711 :rule cong :premises (@p5710 @p5709) :args (@t1109)) % 1.61/1.82 (step @p5712 :rule cong :premises (@p5711) :args (@t1110)) % 1.61/1.82 (step @p5713 :rule trans :premises (@p5712 @p5708)) % 1.61/1.82 (step @p5714 :rule refl :args (@t762)) % 1.61/1.82 (step @p5715 :rule cong :premises (@p5714 @p5713) :args (@t1111)) % 1.61/1.82 (step @p5716 :rule cong :premises (@p5715) :args (@t1112)) % 1.61/1.82 (step @p5717 :rule trans :premises (@p5716 @p5697)) % 1.61/1.82 (step @p5718 :rule refl :args (tptp.theeq)) % 1.61/1.82 (step @p5719 :rule cong :premises (@p5718 @p5717) :args (@t1113)) % 1.61/1.82 (step @p5720 :rule eq_resolve :premises (@p223 @p5719)) % 1.61/1.82 (step @p5721 :rule cong :premises (@p5720 @p5667) :args (@t5388)) % 1.61/1.82 (step @p5722 :rule aci_norm :args ((= @t5390 @t2578))) % 1.61/1.82 (step @p5723 :rule cong :premises (@p5722) :args (@t5391)) % 1.61/1.82 (step @p5724 :rule quant-merge-prenex :args ((= (forall @t1074 @t5393) @t5391))) % 1.61/1.82 (step @p5725 :rule alpha_equiv :args (@t5394 (@list @t2575) @t3627)) % 1.61/1.82 (step @p5726 :rule nary_cong :premises (@p869 @p5725) :args (@t5395)) % 1.61/1.82 (step @p5727 :rule quant-miniscope-or :args ((= @t5393 @t5395))) % 1.61/1.82 (step @p5728 :rule trans :premises (@p5727 @p5726)) % 1.61/1.82 (step @p5729 :rule symm :premises (@p5728)) % 1.61/1.82 (step @p5730 :rule cong :premises (@p5729) :args ((forall @t1074 (or @t2125 @t5397)))) % 1.61/1.82 (step @p5731 :rule trans :premises (@p5730 @p5724)) % 1.61/1.82 (step @p5732 :rule trans :premises (@p5731 @p5723)) % 1.61/1.82 (step @p5733 :rule refl :args (@t5397)) % 1.61/1.82 (step @p5734 :rule nary_cong :premises (@p883 @p5733) :args (@t5398)) % 1.61/1.82 (step @p5735 :rule cong :premises (@p5734) :args ((forall @t1074 @t5398))) % 1.61/1.82 (step @p5736 :rule trans :premises (@p5735 @p5732)) % 1.61/1.82 (step @p5737 :rule bool-impl-elim :args (@t7 @t5397)) % 1.61/1.82 (step @p5738 :rule cong :premises (@p5737) :args ((forall @t1074 (=> @t7 @t5397)))) % 1.61/1.82 (step @p5739 :rule trans :premises (@p5738 @p5736)) % 1.61/1.82 (step @p5740 :rule refl :args ((tptp.in @t1102 @t2))) % 1.61/1.82 (step @p5741 :rule cong :premises (@p5483 @p1066) :args (@t5396)) % 1.61/1.82 (step @p5742 :rule trans :premises (@p5741 @p5740)) % 1.61/1.82 (step @p5743 :rule ho_cong :premises (@p5486 @p1066)) % 1.61/1.82 (step @p5744 :rule cong :premises (@p5743 @p5742) :args ((= (_ @t5317 @t2) @t5396))) % 1.61/1.82 (step @p5745 :rule symm :premises (@p5744)) % 1.61/1.82 (step @p5746 :rule refl :args (@t1104)) % 1.61/1.82 (step @p5747 :rule eq_resolve :premises (@p5746 @p5745)) % 1.61/1.82 (step @p5748 :rule ho_cong :premises (@p5508 @p1066)) % 1.61/1.82 (step @p5749 :rule trans :premises (@p5748 @p5747)) % 1.61/1.82 (step @p5750 :rule nary_cong :premises (@p930 @p5749) :args (@t5399)) % 1.61/1.82 (step @p5751 :rule cong :premises (@p5750) :args ((forall @t70 @t5399))) % 1.61/1.82 (step @p5752 :rule bool-impl-elim :args (@t21 @t1104)) % 1.61/1.82 (step @p5753 :rule cong :premises (@p5752) :args (@t1105)) % 1.61/1.82 (step @p5754 :rule trans :premises (@p5753 @p5751)) % 1.61/1.82 (step @p5755 :rule cong :premises (@p942 @p5754) :args (@t1106)) % 1.61/1.82 (step @p5756 :rule cong :premises (@p5755) :args (@t1107)) % 1.61/1.82 (step @p5757 :rule trans :premises (@p5756 @p5739)) % 1.61/1.82 (step @p5758 :rule refl :args (tptp.ifp)) % 1.61/1.82 (step @p5759 :rule cong :premises (@p5758 @p5757) :args (@t1108)) % 1.61/1.82 (step @p5760 :rule eq_resolve :premises (@p222 @p5759)) % 1.61/1.82 (step @p5761 :rule cong :premises (@p5760 @p5721) :args (@t5400)) % 1.61/1.82 (step @p5762 :rule eq-symm :args (@t2580 @t289)) % 1.61/1.82 (step @p5763 :rule nary_cong :premises (@p5582 @p5762) :args (@t5401)) % 1.61/1.82 (step @p5764 :rule refl :args (@t2581)) % 1.61/1.82 (step @p5765 :rule nary_cong :premises (@p5764 @p5763) :args (@t5402)) % 1.61/1.82 (step @p5766 :rule cong :premises (@p5765) :args (@t5403)) % 1.61/1.82 (step @p5767 :rule cong :premises (@p1882 @p5766) :args (@t5404)) % 1.61/1.82 (step @p5768 :rule cong :premises (@p5767) :args (@t5405)) % 1.61/1.82 (step @p5769 :rule refl :args (@t2582)) % 1.61/1.82 (step @p5770 :rule nary_cong :premises (@p3756 @p5769 @p5768) :args (@t5406)) % 1.61/1.82 (step @p5771 :rule aci_norm :args ((= @t5408 @t5406))) % 1.61/1.82 (step @p5772 :rule trans :premises (@p5771 @p5770)) % 1.61/1.82 (step @p5773 :rule cong :premises (@p5772) :args (@t5409)) % 1.61/1.82 (step @p5774 :rule quant-merge-prenex :args ((= (forall @t1074 @t5411) @t5409))) % 1.61/1.82 (step @p5775 :rule alpha_equiv :args (@t5412 (@list @t2580) @t3627)) % 1.61/1.82 (step @p5776 :rule nary_cong :premises (@p869 @p5775) :args (@t5413)) % 1.61/1.82 (step @p5777 :rule quant-miniscope-or :args ((= @t5411 @t5413))) % 1.61/1.82 (step @p5778 :rule trans :premises (@p5777 @p5776)) % 1.61/1.82 (step @p5779 :rule symm :premises (@p5778)) % 1.61/1.82 (step @p5780 :rule cong :premises (@p5779) :args ((forall @t1074 (or @t2125 @t5417)))) % 1.61/1.82 (step @p5781 :rule trans :premises (@p5780 @p5774)) % 1.61/1.82 (step @p5782 :rule trans :premises (@p5781 @p5773)) % 1.61/1.82 (step @p5783 :rule refl :args (@t5417)) % 1.61/1.82 (step @p5784 :rule nary_cong :premises (@p883 @p5783) :args (@t5418)) % 1.61/1.82 (step @p5785 :rule cong :premises (@p5784) :args ((forall @t1074 @t5418))) % 1.61/1.82 (step @p5786 :rule trans :premises (@p5785 @p5782)) % 1.61/1.82 (step @p5787 :rule bool-impl-elim :args (@t7 @t5417)) % 1.61/1.82 (step @p5788 :rule cong :premises (@p5787) :args ((forall @t1074 (=> @t7 @t5417)))) % 1.61/1.82 (step @p5789 :rule trans :premises (@p5788 @p5786)) % 1.61/1.82 (step @p5790 :rule refl :args ((tptp.singleton @t5419))) % 1.61/1.82 (step @p5791 :rule refl :args (@t5415)) % 1.61/1.82 (step @p5792 :rule cong :premises (@p5791) :args (@t5416)) % 1.61/1.82 (step @p5793 :rule trans :premises (@p5792 @p5790)) % 1.61/1.82 (step @p5794 :rule ho_cong :premises (@p2003 @p5791)) % 1.61/1.82 (step @p5795 :rule cong :premises (@p5794 @p5793) :args ((= (_ tptp.singleton @t5415) @t5416))) % 1.61/1.82 (step @p5796 :rule symm :premises (@p5795)) % 1.61/1.82 (step @p5797 :rule refl :args (@t5420)) % 1.61/1.82 (step @p5798 :rule eq_resolve :premises (@p5797 @p5796)) % 1.61/1.82 (step @p5799 :rule refl :args (@t5419)) % 1.61/1.82 (step @p5800 :rule cong :premises (@p5799 @p5791) :args ((= @t5419 @t5415))) % 1.61/1.82 (step @p5801 :rule symm :premises (@p5800)) % 1.61/1.82 (step @p5802 :rule eq_resolve :premises (@p5799 @p5801)) % 1.61/1.82 (step @p5803 :rule ho_cong :premises (@p2003 @p5802)) % 1.61/1.82 (step @p5804 :rule trans :premises (@p5803 @p5798)) % 1.61/1.82 (step @p5805 :rule nary_cong :premises (@p930 @p5804) :args (@t5421)) % 1.61/1.82 (step @p5806 :rule cong :premises (@p5805) :args ((forall @t70 @t5421))) % 1.61/1.82 (step @p5807 :rule bool-impl-elim :args (@t21 @t5420)) % 1.61/1.82 (step @p5808 :rule cong :premises (@p5807) :args ((forall @t70 (=> @t21 @t5420)))) % 1.61/1.82 (step @p5809 :rule trans :premises (@p5808 @p5806)) % 1.61/1.82 (step @p5810 :rule eq-symm :args (@t289 @t19)) % 1.61/1.82 (step @p5811 :rule nary_cong :premises (@p5582 @p5810) :args (@t1064)) % 1.61/1.82 (step @p5812 :rule eq-symm :args (@t289 @t4)) % 1.61/1.82 (step @p5813 :rule nary_cong :premises (@p1198 @p5812) :args (@t1065)) % 1.61/1.82 (step @p5814 :rule nary_cong :premises (@p5813 @p5811) :args (@t1066)) % 1.61/1.82 (step @p5815 :rule cong :premises (@p5814) :args (@t1068)) % 1.61/1.82 (step @p5816 :rule refl :args (@t155)) % 1.61/1.82 (step @p5817 :rule ho_cong :premises (@p5816 @p5815)) % 1.61/1.82 (step @p5818 :rule ho_cong :premises (@p2066 @p5817)) % 1.61/1.82 (step @p5819 :rule cong :premises (@p1269 @p5818) :args (@t1097)) % 1.61/1.82 (step @p5820 :rule cong :premises (@p5819) :args (@t1098)) % 1.61/1.82 (step @p5821 :rule trans :premises (@p5820 @p5809)) % 1.61/1.82 (step @p5822 :rule cong :premises (@p942 @p5821) :args (@t1099)) % 1.61/1.82 (step @p5823 :rule cong :premises (@p5822) :args (@t1100)) % 1.61/1.82 (step @p5824 :rule trans :premises (@p5823 @p5789)) % 1.61/1.82 (step @p5825 :rule refl :args (tptp.ifSingleton)) % 1.61/1.82 (step @p5826 :rule cong :premises (@p5825 @p5824) :args (@t1101)) % 1.61/1.82 (step @p5827 :rule eq_resolve :premises (@p221 @p5826)) % 1.61/1.82 (step @p5828 :rule cong :premises (@p5827 @p5761) :args (@t5422)) % 1.61/1.82 (step @p5829 :rule aci_norm :args ((= (or @t2125 false @t2588 @t2586) @t2589))) % 1.61/1.82 (step @p5830 :rule aci_norm :args ((= (or @t745 false) @t745))) % 1.61/1.82 (step @p5831 :rule absorb :args ((= (and false @t5423) false))) % 1.61/1.82 (step @p5832 :rule refl :args (@t5423)) % 1.61/1.82 (step @p5833 :rule nary_cong :premises (@p5597 @p5832) :args (@t5424)) % 1.61/1.82 (step @p5834 :rule trans :premises (@p5833 @p5831)) % 1.61/1.82 (step @p5835 :rule aci_norm :args ((= @t5425 @t745))) % 1.61/1.82 (step @p5836 :rule nary_cong :premises (@p5835 @p5834) :args (@t5426)) % 1.61/1.82 (step @p5837 :rule trans :premises (@p5836 @p5830)) % 1.61/1.82 (step @p5838 :rule cong :premises (@p5837) :args (@t5427)) % 1.61/1.82 (step @p5839 :rule cong :premises (@p1882 @p5838) :args (@t5428)) % 1.61/1.82 (step @p5840 :rule refl :args (@t2585)) % 1.61/1.82 (step @p5841 :rule cong :premises (@p5840 @p5839) :args (@t5429)) % 1.61/1.82 (step @p5842 :rule refl :args (@t2588)) % 1.61/1.82 (step @p5843 :rule nary_cong :premises (@p3756 @p5597 @p5842 @p5841) :args (@t5430)) % 1.61/1.82 (step @p5844 :rule trans :premises (@p5843 @p5829)) % 1.61/1.82 (step @p5845 :rule cong :premises (@p5844) :args ((forall @t2590 @t5430))) % 1.61/1.82 (step @p5846 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5349 @t2125 @t1063 @t2588 @t5431)) @t5430))) % 1.61/1.82 (step @p5847 :rule refl :args (@t5431)) % 1.61/1.82 (step @p5848 :rule refl :args (@t2588)) % 1.61/1.82 (step @p5849 :rule nary_cong :premises (@p5606 @p869 @p3776 @p5848 @p5847) :args (@t5432)) % 1.61/1.82 (step @p5850 :rule aci_norm :args ((= @t5433 @t5432))) % 1.61/1.82 (step @p5851 :rule trans :premises (@p5850 @p5849)) % 1.61/1.82 (step @p5852 :rule cong :premises (@p5851) :args (@t5434)) % 1.61/1.82 (step @p5853 :rule trans :premises (@p5852 @p5846)) % 1.61/1.82 (step @p5854 :rule cong :premises (@p5853) :args (@t5435)) % 1.61/1.82 (step @p5855 :rule quant-merge-prenex :args ((= @t5435 @t5436))) % 1.61/1.82 (step @p5856 :rule symm :premises (@p5855)) % 1.61/1.82 (step @p5857 :rule quant_var_reordering :args ((= (forall @t5437 @t5433) @t5436))) % 1.61/1.82 (step @p5858 :rule trans :premises (@p5857 @p5856 @p5854)) % 1.61/1.82 (step @p5859 :rule trans :premises (@p5858 @p5845)) % 1.61/1.82 (step @p5860 :rule eq-symm :args (@t2587 @t289)) % 1.61/1.82 (step @p5861 :rule nary_cong :premises (@p5582 @p5860) :args (@t5438)) % 1.61/1.82 (step @p5862 :rule nary_cong :premises (@p5764 @p5861) :args (@t5439)) % 1.61/1.82 (step @p5863 :rule cong :premises (@p5862) :args (@t5440)) % 1.61/1.82 (step @p5864 :rule cong :premises (@p1882 @p5863) :args (@t5441)) % 1.61/1.82 (step @p5865 :rule cong :premises (@p5840 @p5864) :args (@t5442)) % 1.61/1.82 (step @p5866 :rule nary_cong :premises (@p3756 @p5582 @p5842 @p5865) :args (@t5443)) % 1.61/1.82 (step @p5867 :rule aci_norm :args ((= @t5445 @t5443))) % 1.61/1.82 (step @p5868 :rule trans :premises (@p5867 @p5866)) % 1.61/1.82 (step @p5869 :rule cong :premises (@p5868) :args (@t5446)) % 1.61/1.82 (step @p5870 :rule trans :premises (@p5869 @p5859)) % 1.61/1.82 (step @p5871 :rule quant-merge-prenex :args ((= (forall @t1074 @t5448) @t5446))) % 1.61/1.82 (step @p5872 :rule alpha_equiv :args (@t5449 (@list @t2587) @t3627)) % 1.61/1.82 (step @p5873 :rule nary_cong :premises (@p869 @p3776 @p5872) :args (@t5450)) % 1.61/1.82 (step @p5874 :rule quant-miniscope-or :args ((= @t5448 @t5450))) % 1.61/1.82 (step @p5875 :rule trans :premises (@p5874 @p5873)) % 1.61/1.82 (step @p5876 :rule symm :premises (@p5875)) % 1.61/1.82 (step @p5877 :rule cong :premises (@p5876) :args ((forall @t1074 (or @t2125 @t1063 @t5451)))) % 1.61/1.82 (step @p5878 :rule trans :premises (@p5877 @p5871)) % 1.61/1.82 (step @p5879 :rule trans :premises (@p5878 @p5870)) % 1.61/1.82 (step @p5880 :rule refl :args (@t5451)) % 1.61/1.82 (step @p5881 :rule nary_cong :premises (@p883 @p3776 @p5880) :args (@t5452)) % 1.61/1.82 (step @p5882 :rule cong :premises (@p5881) :args ((forall @t1074 @t5452))) % 1.61/1.82 (step @p5883 :rule trans :premises (@p5882 @p5879)) % 1.61/1.82 (step @p5884 :rule aci_norm :args ((= (or @t197 @t5453) @t5452))) % 1.61/1.82 (step @p5885 :rule bool-impl-elim :args (@t7 @t5453)) % 1.61/1.82 (step @p5886 :rule trans :premises (@p5885 @p5884)) % 1.61/1.82 (step @p5887 :rule cong :premises (@p5886) :args ((forall @t1074 (=> @t7 @t5453)))) % 1.61/1.82 (step @p5888 :rule trans :premises (@p5887 @p5883)) % 1.61/1.82 (step @p5889 :rule refl :args (@t2585)) % 1.61/1.82 (step @p5890 :rule refl :args (@t279)) % 1.61/1.82 (step @p5891 :rule cong :premises (@p5890 @p5889) :args ((= @t279 @t2585))) % 1.61/1.82 (step @p5892 :rule symm :premises (@p5891)) % 1.61/1.82 (step @p5893 :rule eq_resolve :premises (@p5890 @p5892)) % 1.61/1.82 (step @p5894 :rule cong :premises (@p5893 @p5802) :args (@t5454)) % 1.61/1.82 (step @p5895 :rule nary_cong :premises (@p930 @p5894) :args (@t5455)) % 1.61/1.82 (step @p5896 :rule cong :premises (@p5895) :args (@t5456)) % 1.61/1.82 (step @p5897 :rule nary_cong :premises (@p5582 @p5896) :args (@t5457)) % 1.61/1.82 (step @p5898 :rule quant-miniscope-or :args ((= (forall @t70 @t5458) @t5457))) % 1.61/1.82 (step @p5899 :rule aci_norm :args ((= @t5459 @t5458))) % 1.61/1.82 (step @p5900 :rule cong :premises (@p5899) :args ((forall @t70 @t5459))) % 1.61/1.82 (step @p5901 :rule trans :premises (@p5900 @p5898)) % 1.61/1.82 (step @p5902 :rule trans :premises (@p5901 @p5897)) % 1.61/1.82 (step @p5903 :rule aci_norm :args ((= (or @t3636 (or @t1063 @t5454)) @t5459))) % 1.61/1.82 (step @p5904 :rule bool-impl-elim :args (@t173 @t5454)) % 1.61/1.82 (step @p5905 :rule nary_cong :premises (@p935 @p5904) :args ((or @t3636 @t5460))) % 1.61/1.82 (step @p5906 :rule trans :premises (@p5905 @p5903)) % 1.61/1.82 (step @p5907 :rule bool-impl-elim :args (@t21 @t5460)) % 1.61/1.82 (step @p5908 :rule trans :premises (@p5907 @p5906)) % 1.61/1.82 (step @p5909 :rule cong :premises (@p5908) :args ((forall @t70 (=> @t21 @t5460)))) % 1.61/1.82 (step @p5910 :rule trans :premises (@p5909 @p5902)) % 1.61/1.82 (step @p5911 :rule eq-symm :args (@t5419 @t279)) % 1.61/1.82 (step @p5912 :rule refl :args (@t279)) % 1.61/1.82 (step @p5913 :rule cong :premises (@p5817 @p5912) :args (@t1090)) % 1.61/1.82 (step @p5914 :rule trans :premises (@p5913 @p5911)) % 1.61/1.82 (step @p5915 :rule cong :premises (@p1198 @p5914) :args (@t1091)) % 1.61/1.82 (step @p5916 :rule cong :premises (@p1269 @p5915) :args (@t1092)) % 1.61/1.82 (step @p5917 :rule cong :premises (@p5916) :args (@t1093)) % 1.61/1.82 (step @p5918 :rule trans :premises (@p5917 @p5910)) % 1.61/1.82 (step @p5919 :rule cong :premises (@p942 @p5918) :args (@t1094)) % 1.61/1.82 (step @p5920 :rule cong :premises (@p5919) :args (@t1095)) % 1.61/1.82 (step @p5921 :rule trans :premises (@p5920 @p5888)) % 1.61/1.82 (step @p5922 :rule refl :args (tptp.iftrueProp2)) % 1.61/1.82 (step @p5923 :rule cong :premises (@p5922 @p5921) :args (@t1096)) % 1.61/1.82 (step @p5924 :rule eq_resolve :premises (@p220 @p5923)) % 1.61/1.82 (step @p5925 :rule cong :premises (@p5924 @p5828) :args (@t5461)) % 1.61/1.82 (step @p5926 :rule aci_norm :args ((= (or @t2125 false @t2593 @t2591) @t2594))) % 1.61/1.82 (step @p5927 :rule absorb :args ((= (and false @t5462) false))) % 1.61/1.82 (step @p5928 :rule refl :args (@t5462)) % 1.61/1.82 (step @p5929 :rule nary_cong :premises (@p5597 @p5928) :args (@t5463)) % 1.61/1.82 (step @p5930 :rule trans :premises (@p5929 @p5927)) % 1.61/1.82 (step @p5931 :rule nary_cong :premises (@p5835 @p5930) :args (@t5464)) % 1.61/1.82 (step @p5932 :rule trans :premises (@p5931 @p5830)) % 1.61/1.82 (step @p5933 :rule cong :premises (@p5932) :args (@t5465)) % 1.61/1.82 (step @p5934 :rule cong :premises (@p1882 @p5933) :args (@t5466)) % 1.61/1.82 (step @p5935 :rule refl :args (@t4)) % 1.61/1.82 (step @p5936 :rule cong :premises (@p5935 @p5934) :args (@t5467)) % 1.61/1.82 (step @p5937 :rule refl :args (@t2593)) % 1.61/1.82 (step @p5938 :rule nary_cong :premises (@p3756 @p5597 @p5937 @p5936) :args (@t5468)) % 1.61/1.82 (step @p5939 :rule trans :premises (@p5938 @p5926)) % 1.61/1.82 (step @p5940 :rule cong :premises (@p5939) :args ((forall @t2595 @t5468))) % 1.61/1.82 (step @p5941 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5349 @t2125 @t1063 @t2593 @t5469)) @t5468))) % 1.61/1.82 (step @p5942 :rule refl :args (@t5469)) % 1.61/1.82 (step @p5943 :rule refl :args (@t2593)) % 1.61/1.82 (step @p5944 :rule nary_cong :premises (@p5606 @p869 @p3776 @p5943 @p5942) :args (@t5470)) % 1.61/1.82 (step @p5945 :rule aci_norm :args ((= @t5471 @t5470))) % 1.61/1.82 (step @p5946 :rule trans :premises (@p5945 @p5944)) % 1.61/1.82 (step @p5947 :rule cong :premises (@p5946) :args (@t5472)) % 1.61/1.82 (step @p5948 :rule trans :premises (@p5947 @p5941)) % 1.61/1.82 (step @p5949 :rule cong :premises (@p5948) :args (@t5473)) % 1.61/1.82 (step @p5950 :rule quant-merge-prenex :args ((= @t5473 @t5474))) % 1.61/1.82 (step @p5951 :rule symm :premises (@p5950)) % 1.61/1.82 (step @p5952 :rule quant_var_reordering :args ((= (forall @t5475 @t5471) @t5474))) % 1.61/1.82 (step @p5953 :rule trans :premises (@p5952 @p5951 @p5949)) % 1.61/1.82 (step @p5954 :rule trans :premises (@p5953 @p5940)) % 1.61/1.82 (step @p5955 :rule eq-symm :args (@t2592 @t289)) % 1.61/1.82 (step @p5956 :rule nary_cong :premises (@p5582 @p5955) :args (@t5476)) % 1.61/1.82 (step @p5957 :rule nary_cong :premises (@p5764 @p5956) :args (@t5477)) % 1.61/1.82 (step @p5958 :rule cong :premises (@p5957) :args (@t5478)) % 1.61/1.82 (step @p5959 :rule cong :premises (@p1882 @p5958) :args (@t5479)) % 1.61/1.82 (step @p5960 :rule cong :premises (@p5935 @p5959) :args (@t5480)) % 1.61/1.82 (step @p5961 :rule nary_cong :premises (@p3756 @p5582 @p5937 @p5960) :args (@t5481)) % 1.61/1.82 (step @p5962 :rule aci_norm :args ((= @t5483 @t5481))) % 1.61/1.82 (step @p5963 :rule trans :premises (@p5962 @p5961)) % 1.61/1.82 (step @p5964 :rule cong :premises (@p5963) :args (@t5484)) % 1.61/1.82 (step @p5965 :rule trans :premises (@p5964 @p5954)) % 1.61/1.82 (step @p5966 :rule quant-merge-prenex :args ((= (forall @t1074 @t5486) @t5484))) % 1.61/1.82 (step @p5967 :rule alpha_equiv :args (@t5487 (@list @t2592) @t3627)) % 1.61/1.82 (step @p5968 :rule nary_cong :premises (@p869 @p3776 @p5967) :args (@t5488)) % 1.61/1.82 (step @p5969 :rule quant-miniscope-or :args ((= @t5486 @t5488))) % 1.61/1.82 (step @p5970 :rule trans :premises (@p5969 @p5968)) % 1.61/1.82 (step @p5971 :rule symm :premises (@p5970)) % 1.61/1.82 (step @p5972 :rule cong :premises (@p5971) :args ((forall @t1074 (or @t2125 @t1063 @t5490)))) % 1.61/1.82 (step @p5973 :rule trans :premises (@p5972 @p5966)) % 1.61/1.82 (step @p5974 :rule trans :premises (@p5973 @p5965)) % 1.61/1.82 (step @p5975 :rule refl :args (@t5490)) % 1.61/1.82 (step @p5976 :rule nary_cong :premises (@p883 @p3776 @p5975) :args (@t5491)) % 1.61/1.82 (step @p5977 :rule cong :premises (@p5976) :args ((forall @t1074 @t5491))) % 1.61/1.82 (step @p5978 :rule trans :premises (@p5977 @p5974)) % 1.61/1.82 (step @p5979 :rule aci_norm :args ((= (or @t197 @t5492) @t5491))) % 1.61/1.82 (step @p5980 :rule bool-impl-elim :args (@t7 @t5492)) % 1.61/1.82 (step @p5981 :rule trans :premises (@p5980 @p5979)) % 1.61/1.82 (step @p5982 :rule cong :premises (@p5981) :args ((forall @t1074 (=> @t7 @t5492)))) % 1.61/1.82 (step @p5983 :rule trans :premises (@p5982 @p5978)) % 1.61/1.82 (step @p5984 :rule refl :args ((tptp.in @t4 @t5419))) % 1.61/1.82 (step @p5985 :rule cong :premises (@p3047 @p5791) :args (@t5489)) % 1.61/1.82 (step @p5986 :rule trans :premises (@p5985 @p5984)) % 1.61/1.82 (step @p5987 :rule ho_cong :premises (@p3050 @p5791)) % 1.61/1.82 (step @p5988 :rule cong :premises (@p5987 @p5986) :args ((= (_ @t5 @t5415) @t5489))) % 1.61/1.82 (step @p5989 :rule symm :premises (@p5988)) % 1.61/1.82 (step @p5990 :rule refl :args (@t5493)) % 1.61/1.82 (step @p5991 :rule eq_resolve :premises (@p5990 @p5989)) % 1.61/1.82 (step @p5992 :rule ho_cong :premises (@p3050 @p5802)) % 1.61/1.82 (step @p5993 :rule trans :premises (@p5992 @p5991)) % 1.61/1.82 (step @p5994 :rule nary_cong :premises (@p930 @p5993) :args (@t5494)) % 1.61/1.82 (step @p5995 :rule cong :premises (@p5994) :args (@t5495)) % 1.61/1.82 (step @p5996 :rule nary_cong :premises (@p5582 @p5995) :args (@t5496)) % 1.61/1.82 (step @p5997 :rule quant-miniscope-or :args ((= (forall @t70 @t5497) @t5496))) % 1.61/1.82 (step @p5998 :rule aci_norm :args ((= @t5498 @t5497))) % 1.61/1.82 (step @p5999 :rule cong :premises (@p5998) :args ((forall @t70 @t5498))) % 1.61/1.82 (step @p6000 :rule trans :premises (@p5999 @p5997)) % 1.61/1.82 (step @p6001 :rule trans :premises (@p6000 @p5996)) % 1.61/1.82 (step @p6002 :rule aci_norm :args ((= (or @t3636 (or @t1063 @t5493)) @t5498))) % 1.61/1.82 (step @p6003 :rule bool-impl-elim :args (@t173 @t5493)) % 1.61/1.82 (step @p6004 :rule nary_cong :premises (@p935 @p6003) :args ((or @t3636 @t5499))) % 1.61/1.82 (step @p6005 :rule trans :premises (@p6004 @p6002)) % 1.61/1.82 (step @p6006 :rule bool-impl-elim :args (@t21 @t5499)) % 1.61/1.82 (step @p6007 :rule trans :premises (@p6006 @p6005)) % 1.61/1.82 (step @p6008 :rule cong :premises (@p6007) :args ((forall @t70 (=> @t21 @t5499)))) % 1.61/1.82 (step @p6009 :rule trans :premises (@p6008 @p6001)) % 1.61/1.82 (step @p6010 :rule refl :args (@t5)) % 1.61/1.82 (step @p6011 :rule ho_cong :premises (@p6010 @p5817)) % 1.61/1.82 (step @p6012 :rule cong :premises (@p1198 @p6011) :args (@t1084)) % 1.61/1.82 (step @p6013 :rule cong :premises (@p1269 @p6012) :args (@t1085)) % 1.61/1.82 (step @p6014 :rule cong :premises (@p6013) :args (@t1086)) % 1.61/1.82 (step @p6015 :rule trans :premises (@p6014 @p6009)) % 1.61/1.82 (step @p6016 :rule cong :premises (@p942 @p6015) :args (@t1087)) % 1.61/1.82 (step @p6017 :rule cong :premises (@p6016) :args (@t1088)) % 1.61/1.82 (step @p6018 :rule trans :premises (@p6017 @p5983)) % 1.61/1.82 (step @p6019 :rule refl :args (tptp.iftrueProp1)) % 1.61/1.82 (step @p6020 :rule cong :premises (@p6019 @p6018) :args (@t1089)) % 1.61/1.82 (step @p6021 :rule eq_resolve :premises (@p219 @p6020)) % 1.61/1.82 (step @p6022 :rule cong :premises (@p6021 @p5925) :args (@t5500)) % 1.61/1.82 (step @p6023 :rule aci_norm :args ((= (or false @t2597) @t2597))) % 1.61/1.82 (step @p6024 :rule aci_norm :args ((= (and true @t2597) @t2597))) % 1.61/1.82 (step @p6025 :rule refl :args (@t2597)) % 1.61/1.82 (step @p6026 :rule nary_cong :premises (@p1172 @p6025) :args (@t5501)) % 1.61/1.82 (step @p6027 :rule trans :premises (@p6026 @p6024)) % 1.61/1.82 (step @p6028 :rule absorb :args ((= @t5502 false))) % 1.61/1.82 (step @p6029 :rule nary_cong :premises (@p6028 @p6027) :args (@t5503)) % 1.61/1.82 (step @p6030 :rule trans :premises (@p6029 @p6023)) % 1.61/1.82 (step @p6031 :rule cong :premises (@p6030) :args (@t5504)) % 1.61/1.82 (step @p6032 :rule cong :premises (@p1882 @p6031) :args (@t5505)) % 1.61/1.82 (step @p6033 :rule refl :args (@t2598)) % 1.61/1.82 (step @p6034 :rule cong :premises (@p6033 @p6032) :args (@t5506)) % 1.61/1.82 (step @p6035 :rule refl :args (@t2599)) % 1.61/1.82 (step @p6036 :rule nary_cong :premises (@p3756 @p6035 @p6034) :args (@t5507)) % 1.61/1.82 (step @p6037 :rule aci_norm :args ((= @t5508 @t5507))) % 1.61/1.82 (step @p6038 :rule trans :premises (@p6037 @p6036)) % 1.61/1.82 (step @p6039 :rule cong :premises (@p6038) :args ((forall @t2600 @t5508))) % 1.61/1.82 (step @p6040 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t2125 @t173 @t2599 @t5509)) @t5508))) % 1.61/1.82 (step @p6041 :rule refl :args (@t5509)) % 1.61/1.82 (step @p6042 :rule refl :args (@t2599)) % 1.61/1.82 (step @p6043 :rule nary_cong :premises (@p1185 @p869 @p1178 @p6042 @p6041) :args (@t5510)) % 1.61/1.82 (step @p6044 :rule aci_norm :args ((= @t5511 @t5510))) % 1.61/1.82 (step @p6045 :rule trans :premises (@p6044 @p6043)) % 1.61/1.82 (step @p6046 :rule cong :premises (@p6045) :args (@t5512)) % 1.61/1.82 (step @p6047 :rule trans :premises (@p6046 @p6040)) % 1.61/1.82 (step @p6048 :rule cong :premises (@p6047) :args (@t5513)) % 1.61/1.82 (step @p6049 :rule quant-merge-prenex :args ((= @t5513 @t5514))) % 1.61/1.82 (step @p6050 :rule symm :premises (@p6049)) % 1.61/1.82 (step @p6051 :rule quant_var_reordering :args ((= (forall @t5515 @t5511) @t5514))) % 1.61/1.82 (step @p6052 :rule trans :premises (@p6051 @p6050 @p6048)) % 1.61/1.82 (step @p6053 :rule trans :premises (@p6052 @p6039)) % 1.61/1.82 (step @p6054 :rule eq-symm :args (@t2596 @t289)) % 1.61/1.82 (step @p6055 :rule nary_cong :premises (@p5582 @p6054) :args (@t5516)) % 1.61/1.82 (step @p6056 :rule nary_cong :premises (@p5764 @p6055) :args (@t5517)) % 1.61/1.82 (step @p6057 :rule cong :premises (@p6056) :args (@t5518)) % 1.61/1.82 (step @p6058 :rule cong :premises (@p1882 @p6057) :args (@t5519)) % 1.61/1.82 (step @p6059 :rule cong :premises (@p6033 @p6058) :args (@t5520)) % 1.61/1.82 (step @p6060 :rule nary_cong :premises (@p3756 @p1198 @p6035 @p6059) :args (@t5521)) % 1.61/1.82 (step @p6061 :rule aci_norm :args ((= @t5523 @t5521))) % 1.61/1.82 (step @p6062 :rule trans :premises (@p6061 @p6060)) % 1.61/1.82 (step @p6063 :rule cong :premises (@p6062) :args (@t5524)) % 1.61/1.82 (step @p6064 :rule trans :premises (@p6063 @p6053)) % 1.61/1.82 (step @p6065 :rule quant-merge-prenex :args ((= (forall @t1074 @t5526) @t5524))) % 1.61/1.82 (step @p6066 :rule alpha_equiv :args (@t5527 (@list @t2596) @t3627)) % 1.61/1.82 (step @p6067 :rule nary_cong :premises (@p869 @p1178 @p6066) :args (@t5528)) % 1.61/1.82 (step @p6068 :rule quant-miniscope-or :args ((= @t5526 @t5528))) % 1.61/1.82 (step @p6069 :rule trans :premises (@p6068 @p6067)) % 1.61/1.82 (step @p6070 :rule symm :premises (@p6069)) % 1.61/1.82 (step @p6071 :rule cong :premises (@p6070) :args ((forall @t1074 (or @t2125 @t173 @t5529)))) % 1.61/1.82 (step @p6072 :rule trans :premises (@p6071 @p6065)) % 1.61/1.82 (step @p6073 :rule trans :premises (@p6072 @p6064)) % 1.61/1.82 (step @p6074 :rule refl :args (@t5529)) % 1.61/1.82 (step @p6075 :rule nary_cong :premises (@p883 @p1178 @p6074) :args (@t5530)) % 1.61/1.82 (step @p6076 :rule cong :premises (@p6075) :args ((forall @t1074 @t5530))) % 1.61/1.82 (step @p6077 :rule trans :premises (@p6076 @p6073)) % 1.61/1.82 (step @p6078 :rule aci_norm :args ((= (or @t197 @t5531) @t5530))) % 1.61/1.82 (step @p6079 :rule bool-impl-elim :args (@t7 @t5531)) % 1.61/1.82 (step @p6080 :rule trans :premises (@p6079 @p6078)) % 1.61/1.82 (step @p6081 :rule cong :premises (@p6080) :args ((forall @t1074 (=> @t7 @t5531)))) % 1.61/1.82 (step @p6082 :rule trans :premises (@p6081 @p6077)) % 1.61/1.82 (step @p6083 :rule cong :premises (@p5501 @p5802) :args (@t5532)) % 1.61/1.82 (step @p6084 :rule nary_cong :premises (@p930 @p6083) :args (@t5533)) % 1.61/1.82 (step @p6085 :rule cong :premises (@p6084) :args (@t5534)) % 1.61/1.82 (step @p6086 :rule nary_cong :premises (@p1198 @p6085) :args (@t5535)) % 1.61/1.82 (step @p6087 :rule quant-miniscope-or :args ((= (forall @t70 @t5536) @t5535))) % 1.61/1.82 (step @p6088 :rule aci_norm :args ((= @t5537 @t5536))) % 1.61/1.82 (step @p6089 :rule cong :premises (@p6088) :args ((forall @t70 @t5537))) % 1.61/1.82 (step @p6090 :rule trans :premises (@p6089 @p6087)) % 1.61/1.82 (step @p6091 :rule trans :premises (@p6090 @p6086)) % 1.61/1.82 (step @p6092 :rule aci_norm :args ((= (or @t3636 (or @t173 @t5532)) @t5537))) % 1.61/1.82 (step @p6093 :rule refl :args (@t5532)) % 1.61/1.82 (step @p6094 :rule nary_cong :premises (@p1183 @p6093) :args ((or @t3758 @t5532))) % 1.61/1.82 (step @p6095 :rule bool-impl-elim :args (@t1063 @t5532)) % 1.61/1.82 (step @p6096 :rule trans :premises (@p6095 @p6094)) % 1.61/1.82 (step @p6097 :rule nary_cong :premises (@p935 @p6096) :args ((or @t3636 @t5538))) % 1.61/1.82 (step @p6098 :rule trans :premises (@p6097 @p6092)) % 1.61/1.82 (step @p6099 :rule bool-impl-elim :args (@t21 @t5538)) % 1.61/1.82 (step @p6100 :rule trans :premises (@p6099 @p6098)) % 1.61/1.82 (step @p6101 :rule cong :premises (@p6100) :args ((forall @t70 (=> @t21 @t5538)))) % 1.61/1.82 (step @p6102 :rule trans :premises (@p6101 @p6091)) % 1.61/1.82 (step @p6103 :rule eq-symm :args (@t5419 @t275)) % 1.61/1.82 (step @p6104 :rule refl :args (@t275)) % 1.61/1.82 (step @p6105 :rule cong :premises (@p5817 @p6104) :args (@t1077)) % 1.61/1.82 (step @p6106 :rule trans :premises (@p6105 @p6103)) % 1.61/1.82 (step @p6107 :rule cong :premises (@p5582 @p6106) :args (@t1078)) % 1.61/1.82 (step @p6108 :rule cong :premises (@p1269 @p6107) :args (@t1079)) % 1.61/1.82 (step @p6109 :rule cong :premises (@p6108) :args (@t1080)) % 1.61/1.82 (step @p6110 :rule trans :premises (@p6109 @p6102)) % 1.61/1.82 (step @p6111 :rule cong :premises (@p942 @p6110) :args (@t1081)) % 1.61/1.82 (step @p6112 :rule cong :premises (@p6111) :args (@t1082)) % 1.61/1.82 (step @p6113 :rule trans :premises (@p6112 @p6082)) % 1.61/1.82 (step @p6114 :rule refl :args (tptp.iffalseProp2)) % 1.61/1.82 (step @p6115 :rule cong :premises (@p6114 @p6113) :args (@t1083)) % 1.61/1.82 (step @p6116 :rule eq_resolve :premises (@p218 @p6115)) % 1.61/1.82 (step @p6117 :rule cong :premises (@p6116 @p6022) :args (@t5539)) % 1.61/1.82 (step @p6118 :rule aci_norm :args ((= (or false @t2602) @t2602))) % 1.61/1.82 (step @p6119 :rule aci_norm :args ((= (and true @t2602) @t2602))) % 1.61/1.82 (step @p6120 :rule refl :args (@t2602)) % 1.61/1.82 (step @p6121 :rule nary_cong :premises (@p1172 @p6120) :args (@t5540)) % 1.61/1.82 (step @p6122 :rule trans :premises (@p6121 @p6119)) % 1.61/1.82 (step @p6123 :rule nary_cong :premises (@p6028 @p6122) :args (@t5541)) % 1.61/1.82 (step @p6124 :rule trans :premises (@p6123 @p6118)) % 1.61/1.82 (step @p6125 :rule cong :premises (@p6124) :args (@t5542)) % 1.61/1.82 (step @p6126 :rule cong :premises (@p1882 @p6125) :args (@t5543)) % 1.61/1.82 (step @p6127 :rule refl :args (@t2601)) % 1.61/1.82 (step @p6128 :rule cong :premises (@p6127 @p6126) :args (@t5544)) % 1.61/1.82 (step @p6129 :rule refl :args (@t2603)) % 1.61/1.82 (step @p6130 :rule nary_cong :premises (@p3756 @p6129 @p6128) :args (@t5545)) % 1.61/1.82 (step @p6131 :rule aci_norm :args ((= @t5546 @t5545))) % 1.61/1.82 (step @p6132 :rule trans :premises (@p6131 @p6130)) % 1.61/1.82 (step @p6133 :rule cong :premises (@p6132) :args ((forall @t2604 @t5546))) % 1.61/1.82 (step @p6134 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t2125 @t173 @t2603 @t5547)) @t5546))) % 1.61/1.82 (step @p6135 :rule refl :args (@t5547)) % 1.61/1.82 (step @p6136 :rule refl :args (@t2603)) % 1.61/1.82 (step @p6137 :rule nary_cong :premises (@p1185 @p869 @p1178 @p6136 @p6135) :args (@t5548)) % 1.61/1.82 (step @p6138 :rule aci_norm :args ((= @t5549 @t5548))) % 1.61/1.82 (step @p6139 :rule trans :premises (@p6138 @p6137)) % 1.61/1.82 (step @p6140 :rule cong :premises (@p6139) :args (@t5550)) % 1.61/1.82 (step @p6141 :rule trans :premises (@p6140 @p6134)) % 1.61/1.82 (step @p6142 :rule cong :premises (@p6141) :args (@t5551)) % 1.61/1.82 (step @p6143 :rule quant-merge-prenex :args ((= @t5551 @t5552))) % 1.61/1.82 (step @p6144 :rule symm :premises (@p6143)) % 1.61/1.82 (step @p6145 :rule quant_var_reordering :args ((= (forall @t5553 @t5549) @t5552))) % 1.61/1.82 (step @p6146 :rule trans :premises (@p6145 @p6144 @p6142)) % 1.61/1.82 (step @p6147 :rule trans :premises (@p6146 @p6133)) % 1.61/1.82 (step @p6148 :rule eq-symm :args (@t2601 @t289)) % 1.61/1.82 (step @p6149 :rule nary_cong :premises (@p5582 @p6148) :args (@t5554)) % 1.61/1.82 (step @p6150 :rule nary_cong :premises (@p5764 @p6149) :args (@t5555)) % 1.61/1.82 (step @p6151 :rule cong :premises (@p6150) :args (@t5556)) % 1.61/1.82 (step @p6152 :rule cong :premises (@p1882 @p6151) :args (@t5557)) % 1.61/1.82 (step @p6153 :rule cong :premises (@p6127 @p6152) :args (@t5558)) % 1.61/1.82 (step @p6154 :rule nary_cong :premises (@p3756 @p1198 @p6129 @p6153) :args (@t5559)) % 1.61/1.82 (step @p6155 :rule aci_norm :args ((= @t5561 @t5559))) % 1.61/1.82 (step @p6156 :rule trans :premises (@p6155 @p6154)) % 1.61/1.82 (step @p6157 :rule cong :premises (@p6156) :args (@t5562)) % 1.61/1.82 (step @p6158 :rule trans :premises (@p6157 @p6147)) % 1.61/1.82 (step @p6159 :rule quant-merge-prenex :args ((= (forall @t1074 @t5564) @t5562))) % 1.61/1.82 (step @p6160 :rule alpha_equiv :args (@t5565 (@list @t2601) @t3627)) % 1.61/1.82 (step @p6161 :rule nary_cong :premises (@p869 @p1178 @p6160) :args (@t5566)) % 1.61/1.82 (step @p6162 :rule quant-miniscope-or :args ((= @t5564 @t5566))) % 1.61/1.82 (step @p6163 :rule trans :premises (@p6162 @p6161)) % 1.61/1.82 (step @p6164 :rule symm :premises (@p6163)) % 1.61/1.82 (step @p6165 :rule cong :premises (@p6164) :args ((forall @t1074 (or @t2125 @t173 @t5568)))) % 1.61/1.82 (step @p6166 :rule trans :premises (@p6165 @p6159)) % 1.61/1.82 (step @p6167 :rule trans :premises (@p6166 @p6158)) % 1.61/1.82 (step @p6168 :rule refl :args (@t5568)) % 1.61/1.82 (step @p6169 :rule nary_cong :premises (@p883 @p1178 @p6168) :args (@t5569)) % 1.61/1.82 (step @p6170 :rule cong :premises (@p6169) :args ((forall @t1074 @t5569))) % 1.61/1.82 (step @p6171 :rule trans :premises (@p6170 @p6167)) % 1.61/1.82 (step @p6172 :rule aci_norm :args ((= (or @t197 @t5570) @t5569))) % 1.61/1.82 (step @p6173 :rule bool-impl-elim :args (@t7 @t5570)) % 1.61/1.82 (step @p6174 :rule trans :premises (@p6173 @p6172)) % 1.61/1.82 (step @p6175 :rule cong :premises (@p6174) :args ((forall @t1074 (=> @t7 @t5570)))) % 1.61/1.82 (step @p6176 :rule trans :premises (@p6175 @p6171)) % 1.61/1.82 (step @p6177 :rule refl :args ((tptp.in @t19 @t5419))) % 1.61/1.82 (step @p6178 :rule cong :premises (@p5560 @p5791) :args (@t5567)) % 1.61/1.82 (step @p6179 :rule trans :premises (@p6178 @p6177)) % 1.61/1.82 (step @p6180 :rule refl :args (@t20)) % 1.61/1.82 (step @p6181 :rule ho_cong :premises (@p6180 @p5791)) % 1.61/1.82 (step @p6182 :rule cong :premises (@p6181 @p6179) :args ((= (_ @t20 @t5415) @t5567))) % 1.61/1.82 (step @p6183 :rule symm :premises (@p6182)) % 1.61/1.82 (step @p6184 :rule refl :args (@t5571)) % 1.61/1.82 (step @p6185 :rule eq_resolve :premises (@p6184 @p6183)) % 1.61/1.82 (step @p6186 :rule ho_cong :premises (@p6180 @p5802)) % 1.61/1.82 (step @p6187 :rule trans :premises (@p6186 @p6185)) % 1.61/1.82 (step @p6188 :rule nary_cong :premises (@p930 @p6187) :args (@t5572)) % 1.61/1.82 (step @p6189 :rule cong :premises (@p6188) :args (@t5573)) % 1.61/1.82 (step @p6190 :rule nary_cong :premises (@p1198 @p6189) :args (@t5574)) % 1.61/1.82 (step @p6191 :rule quant-miniscope-or :args ((= (forall @t70 @t5575) @t5574))) % 1.61/1.82 (step @p6192 :rule aci_norm :args ((= @t5576 @t5575))) % 1.61/1.82 (step @p6193 :rule cong :premises (@p6192) :args ((forall @t70 @t5576))) % 1.61/1.82 (step @p6194 :rule trans :premises (@p6193 @p6191)) % 1.61/1.82 (step @p6195 :rule trans :premises (@p6194 @p6190)) % 1.61/1.82 (step @p6196 :rule aci_norm :args ((= (or @t3636 (or @t173 @t5571)) @t5576))) % 1.61/1.82 (step @p6197 :rule nary_cong :premises (@p1183 @p6184) :args ((or @t3758 @t5571))) % 1.61/1.82 (step @p6198 :rule bool-impl-elim :args (@t1063 @t5571)) % 1.61/1.82 (step @p6199 :rule trans :premises (@p6198 @p6197)) % 1.61/1.82 (step @p6200 :rule nary_cong :premises (@p935 @p6199) :args ((or @t3636 @t5577))) % 1.61/1.82 (step @p6201 :rule trans :premises (@p6200 @p6196)) % 1.61/1.82 (step @p6202 :rule bool-impl-elim :args (@t21 @t5577)) % 1.61/1.82 (step @p6203 :rule trans :premises (@p6202 @p6201)) % 1.61/1.82 (step @p6204 :rule cong :premises (@p6203) :args ((forall @t70 (=> @t21 @t5577)))) % 1.61/1.82 (step @p6205 :rule trans :premises (@p6204 @p6195)) % 1.61/1.82 (step @p6206 :rule refl :args (@t20)) % 1.61/1.82 (step @p6207 :rule ho_cong :premises (@p6206 @p5817)) % 1.61/1.82 (step @p6208 :rule cong :premises (@p5582 @p6207) :args (@t1070)) % 1.61/1.82 (step @p6209 :rule cong :premises (@p1269 @p6208) :args (@t1071)) % 1.61/1.82 (step @p6210 :rule cong :premises (@p6209) :args (@t1072)) % 1.61/1.82 (step @p6211 :rule trans :premises (@p6210 @p6205)) % 1.61/1.82 (step @p6212 :rule cong :premises (@p942 @p6211) :args (@t1073)) % 1.61/1.82 (step @p6213 :rule cong :premises (@p6212) :args (@t1075)) % 1.61/1.82 (step @p6214 :rule trans :premises (@p6213 @p6176)) % 1.61/1.82 (step @p6215 :rule refl :args (tptp.iffalseProp1)) % 1.61/1.82 (step @p6216 :rule cong :premises (@p6215 @p6214) :args (@t1076)) % 1.61/1.82 (step @p6217 :rule eq_resolve :premises (@p217 @p6216)) % 1.61/1.82 (step @p6218 :rule cong :premises (@p6217 @p6117) :args (@t5578)) % 1.61/1.82 (step @p6219 :rule refl :args ((tptp.lam @t2 @t1 @t1051))) % 1.61/1.82 (step @p6220 :rule refl :args (@t2605)) % 1.61/1.82 (step @p6221 :rule cong :premises (@p6220) :args (@t2606)) % 1.61/1.82 (step @p6222 :rule cong :premises (@p1066 @p1998 @p6221) :args (@t2607)) % 1.61/1.82 (step @p6223 :rule trans :premises (@p6222 @p6219)) % 1.61/1.82 (step @p6224 :rule refl :args (@t927)) % 1.61/1.82 (step @p6225 :rule ho_cong :premises (@p6224 @p6221)) % 1.61/1.82 (step @p6226 :rule cong :premises (@p6225 @p6223) :args ((= (_ @t927 @t2606) @t2607))) % 1.61/1.82 (step @p6227 :rule symm :premises (@p6226)) % 1.61/1.82 (step @p6228 :rule refl :args (@t1052)) % 1.61/1.82 (step @p6229 :rule eq_resolve :premises (@p6228 @p6227)) % 1.61/1.82 (step @p6230 :rule refl :args (@t901)) % 1.61/1.82 (step @p6231 :rule cong :premises (@p6230 @p6220) :args ((= @t901 @t2605))) % 1.61/1.82 (step @p6232 :rule symm :premises (@p6231)) % 1.61/1.82 (step @p6233 :rule eq_resolve :premises (@p6230 @p6232)) % 1.61/1.82 (step @p6234 :rule cong :premises (@p6233) :args (@t1051)) % 1.61/1.82 (step @p6235 :rule ho_cong :premises (@p6224 @p6234)) % 1.61/1.82 (step @p6236 :rule trans :premises (@p6235 @p6229)) % 1.61/1.82 (step @p6237 :rule refl :args (@t882)) % 1.61/1.82 (step @p6238 :rule cong :premises (@p6237 @p6236) :args (@t5579)) % 1.61/1.82 (step @p6239 :rule refl :args ((tptp.in @t882 @t907))) % 1.61/1.82 (step @p6240 :rule refl :args (@t2609)) % 1.61/1.82 (step @p6241 :rule cong :premises (@p6237 @p6240) :args (@t2610)) % 1.61/1.82 (step @p6242 :rule trans :premises (@p6241 @p6239)) % 1.61/1.82 (step @p6243 :rule refl :args (@t908)) % 1.61/1.82 (step @p6244 :rule ho_cong :premises (@p6243 @p6240)) % 1.61/1.82 (step @p6245 :rule cong :premises (@p6244 @p6242) :args ((= (_ @t908 @t2609) @t2610))) % 1.61/1.82 (step @p6246 :rule symm :premises (@p6245)) % 1.61/1.82 (step @p6247 :rule refl :args (@t909)) % 1.61/1.82 (step @p6248 :rule eq_resolve :premises (@p6247 @p6246)) % 1.61/1.82 (step @p6249 :rule refl :args (@t907)) % 1.61/1.82 (step @p6250 :rule cong :premises (@p6249 @p6240) :args ((= @t907 @t2609))) % 1.61/1.82 (step @p6251 :rule symm :premises (@p6250)) % 1.61/1.82 (step @p6252 :rule eq_resolve :premises (@p6249 @p6251)) % 1.61/1.82 (step @p6253 :rule ho_cong :premises (@p6243 @p6252)) % 1.61/1.82 (step @p6254 :rule trans :premises (@p6253 @p6248)) % 1.61/1.82 (step @p6255 :rule cong :premises (@p6254) :args (@t5580)) % 1.61/1.82 (step @p6256 :rule nary_cong :premises (@p6255 @p6238) :args (@t5581)) % 1.61/1.82 (step @p6257 :rule cong :premises (@p6256) :args ((forall @t891 @t5581))) % 1.61/1.82 (step @p6258 :rule bool-impl-elim :args (@t909 @t5579)) % 1.61/1.82 (step @p6259 :rule cong :premises (@p6258) :args ((forall @t891 (=> @t909 @t5579)))) % 1.61/1.82 (step @p6260 :rule trans :premises (@p6259 @p6257)) % 1.61/1.82 (step @p6261 :rule eq-symm :args (@t1052 @t882)) % 1.61/1.82 (step @p6262 :rule refl :args (@t909)) % 1.61/1.82 (step @p6263 :rule cong :premises (@p6262 @p6261) :args (@t1060)) % 1.61/1.82 (step @p6264 :rule cong :premises (@p6263) :args (@t1061)) % 1.61/1.82 (step @p6265 :rule trans :premises (@p6264 @p6260)) % 1.61/1.82 (step @p6266 :rule refl :args (tptp.eta2)) % 1.61/1.82 (step @p6267 :rule cong :premises (@p6266 @p6265) :args (@t1062)) % 1.61/1.82 (step @p6268 :rule eq_resolve :premises (@p216 @p6267)) % 1.61/1.82 (step @p6269 :rule cong :premises (@p6268 @p6218) :args (@t5582)) % 1.61/1.82 (step @p6270 :rule eq-symm :args (@t2622 tptp.beta2)) % 1.61/1.82 (step @p6271 :rule refl :args (tptp.beta2)) % 1.61/1.82 (step @p6272 :rule aci_norm :args ((= @t5584 @t2620))) % 1.61/1.82 (step @p6273 :rule cong :premises (@p6272) :args (@t5585)) % 1.61/1.82 (step @p6274 :rule quant-merge-prenex :args ((= (forall @t923 @t5587) @t5585))) % 1.61/1.82 (step @p6275 :rule alpha_equiv :args (@t5588 (@list @t2612) @t3992)) % 1.61/1.82 (step @p6276 :rule refl :args (@t2619)) % 1.61/1.82 (step @p6277 :rule nary_cong :premises (@p6276 @p6275) :args (@t5589)) % 1.61/1.82 (step @p6278 :rule quant-miniscope-or :args ((= @t5587 @t5589))) % 1.61/1.82 (step @p6279 :rule trans :premises (@p6278 @p6277)) % 1.61/1.82 (step @p6280 :rule symm :premises (@p6279)) % 1.61/1.82 (step @p6281 :rule cong :premises (@p6280) :args ((forall @t923 (or @t2619 @t5590)))) % 1.61/1.82 (step @p6282 :rule trans :premises (@p6281 @p6274)) % 1.61/1.82 (step @p6283 :rule trans :premises (@p6282 @p6273)) % 1.61/1.82 (step @p6284 :rule bool-impl-elim :args (@t2618 @t5590)) % 1.61/1.82 (step @p6285 :rule cong :premises (@p6284) :args ((forall @t923 (=> @t2618 @t5590)))) % 1.61/1.82 (step @p6286 :rule trans :premises (@p6285 @p6283)) % 1.61/1.82 (step @p6287 :rule lambda-elim :args ((= @t5592 @t917))) % 1.61/1.82 (step @p6288 :rule refl :args (@t1)) % 1.61/1.82 (step @p6289 :rule cong :premises (@p1882 @p6288 @p6287) :args (@t5593)) % 1.61/1.82 (step @p6290 :rule cong :premises (@p1882 @p6288 @p6289 @p5935) :args (@t5594)) % 1.61/1.82 (step @p6291 :rule refl :args (@t2616)) % 1.61/1.82 (step @p6292 :rule cong :premises (@p6291 @p6290) :args (@t5595)) % 1.61/1.82 (step @p6293 :rule nary_cong :premises (@p3756 @p6292) :args (@t5596)) % 1.61/1.82 (step @p6294 :rule cong :premises (@p6293) :args ((forall @t9 @t5596))) % 1.61/1.82 (step @p6295 :rule refl :args ((tptp.ap @t2 @t1 @t1044 @t4))) % 1.61/1.82 (step @p6296 :rule refl :args ((tptp.lam @t2 @t1 @t1043))) % 1.61/1.82 (step @p6297 :rule refl :args (@t5591)) % 1.61/1.82 (step @p6298 :rule cong :premises (@p6297) :args (@t5592)) % 1.61/1.82 (step @p6299 :rule cong :premises (@p1066 @p1998 @p6298) :args (@t5593)) % 1.61/1.82 (step @p6300 :rule trans :premises (@p6299 @p6296)) % 1.61/1.82 (step @p6301 :rule cong :premises (@p1066 @p1998 @p6300 @p3047) :args (@t5594)) % 1.61/1.82 (step @p6302 :rule trans :premises (@p6301 @p6295)) % 1.61/1.82 (step @p6303 :rule refl :args (@t900)) % 1.61/1.82 (step @p6304 :rule ho_cong :premises (@p6303 @p6300)) % 1.61/1.82 (step @p6305 :rule ho_cong :premises (@p6304 @p3047)) % 1.61/1.82 (step @p6306 :rule cong :premises (@p6305 @p6302) :args ((= (_ (_ @t900 @t5593) @t4) @t5594))) % 1.61/1.82 (step @p6307 :rule symm :premises (@p6306)) % 1.61/1.82 (step @p6308 :rule refl :args (@t1045)) % 1.61/1.82 (step @p6309 :rule eq_resolve :premises (@p6308 @p6307)) % 1.61/1.82 (step @p6310 :rule ho_cong :premises (@p6224 @p6298)) % 1.61/1.82 (step @p6311 :rule cong :premises (@p6310 @p6300) :args ((= (_ @t927 @t5592) @t5593))) % 1.61/1.82 (step @p6312 :rule symm :premises (@p6311)) % 1.61/1.82 (step @p6313 :rule refl :args (@t1044)) % 1.61/1.82 (step @p6314 :rule eq_resolve :premises (@p6313 @p6312)) % 1.61/1.82 (step @p6315 :rule refl :args (@t1042)) % 1.61/1.82 (step @p6316 :rule cong :premises (@p6315 @p6297) :args ((= @t1042 @t5591))) % 1.61/1.82 (step @p6317 :rule symm :premises (@p6316)) % 1.61/1.82 (step @p6318 :rule eq_resolve :premises (@p6315 @p6317)) % 1.61/1.82 (step @p6319 :rule cong :premises (@p6318) :args (@t1043)) % 1.61/1.82 (step @p6320 :rule ho_cong :premises (@p6224 @p6319)) % 1.61/1.82 (step @p6321 :rule trans :premises (@p6320 @p6314)) % 1.61/1.82 (step @p6322 :rule ho_cong :premises (@p6303 @p6321)) % 1.61/1.82 (step @p6323 :rule ho_cong :premises (@p6322 @p3047)) % 1.61/1.82 (step @p6324 :rule trans :premises (@p6323 @p6309)) % 1.61/1.82 (step @p6325 :rule refl :args (@t2616)) % 1.61/1.82 (step @p6326 :rule refl :args (@t918)) % 1.61/1.82 (step @p6327 :rule cong :premises (@p6326 @p6325) :args ((= @t918 @t2616))) % 1.61/1.82 (step @p6328 :rule symm :premises (@p6327)) % 1.61/1.82 (step @p6329 :rule eq_resolve :premises (@p6326 @p6328)) % 1.61/1.82 (step @p6330 :rule cong :premises (@p6329 @p6324) :args (@t5597)) % 1.61/1.82 (step @p6331 :rule nary_cong :premises (@p883 @p6330) :args (@t5598)) % 1.61/1.82 (step @p6332 :rule cong :premises (@p6331) :args ((forall @t9 @t5598))) % 1.61/1.82 (step @p6333 :rule trans :premises (@p6332 @p6294)) % 1.61/1.82 (step @p6334 :rule bool-impl-elim :args (@t7 @t5597)) % 1.61/1.82 (step @p6335 :rule cong :premises (@p6334) :args ((forall @t9 (=> @t7 @t5597)))) % 1.61/1.82 (step @p6336 :rule trans :premises (@p6335 @p6333)) % 1.61/1.82 (step @p6337 :rule eq-symm :args (@t1045 @t918)) % 1.61/1.82 (step @p6338 :rule cong :premises (@p942 @p6337) :args (@t1046)) % 1.61/1.82 (step @p6339 :rule cong :premises (@p6338) :args (@t1047)) % 1.61/1.82 (step @p6340 :rule trans :premises (@p6339 @p6336)) % 1.61/1.82 (step @p6341 :rule refl :args ((tptp.in @t918 @t1))) % 1.61/1.82 (step @p6342 :rule cong :premises (@p6325 @p1998) :args (@t2617)) % 1.61/1.82 (step @p6343 :rule trans :premises (@p6342 @p6341)) % 1.61/1.82 (step @p6344 :rule ho_cong :premises (@p895 @p6325)) % 1.61/1.82 (step @p6345 :rule ho_cong :premises (@p6344 @p1998)) % 1.61/1.82 (step @p6346 :rule cong :premises (@p6345 @p6343) :args ((= (_ (_ tptp.in @t2616) @t1) @t2617))) % 1.61/1.82 (step @p6347 :rule symm :premises (@p6346)) % 1.61/1.82 (step @p6348 :rule refl :args (@t920)) % 1.61/1.82 (step @p6349 :rule eq_resolve :premises (@p6348 @p6347)) % 1.61/1.82 (step @p6350 :rule ho_cong :premises (@p895 @p6329)) % 1.61/1.82 (step @p6351 :rule ho_cong :premises (@p6350 @p1998)) % 1.61/1.82 (step @p6352 :rule trans :premises (@p6351 @p6349)) % 1.61/1.82 (step @p6353 :rule nary_cong :premises (@p883 @p6352) :args (@t5599)) % 1.61/1.82 (step @p6354 :rule cong :premises (@p6353) :args ((forall @t9 @t5599))) % 1.61/1.82 (step @p6355 :rule bool-impl-elim :args (@t7 @t920)) % 1.61/1.82 (step @p6356 :rule cong :premises (@p6355) :args (@t921)) % 1.61/1.82 (step @p6357 :rule trans :premises (@p6356 @p6354)) % 1.61/1.82 (step @p6358 :rule cong :premises (@p6357 @p6340) :args (@t1048)) % 1.61/1.82 (step @p6359 :rule cong :premises (@p6358) :args (@t1049)) % 1.61/1.82 (step @p6360 :rule trans :premises (@p6359 @p6286)) % 1.61/1.82 (step @p6361 :rule cong :premises (@p6360 @p6271) :args ((= @t1049 tptp.beta2))) % 1.61/1.82 (step @p6362 :rule trans :premises (@p6361 @p6270)) % 1.61/1.82 (step @p6363 :rule eq-symm :args (tptp.beta2 @t1049)) % 1.61/1.82 (step @p6364 :rule trans :premises (@p6363 @p6362)) % 1.61/1.82 (step @p6365 :rule eq_resolve :premises (@p215 @p6364)) % 1.61/1.82 (step @p6366 :rule cong :premises (@p6365 @p6269) :args (@t5600)) % 1.61/1.82 (step @p6367 :rule bool-eq-true :args (tptp.lam2lamEq)) % 1.61/1.82 (step @p6368 :rule symm :premises (@p6367)) % 1.61/1.82 (step @p6369 :rule quant-unused-vars :args ((= (forall @t923 true) true))) % 1.61/1.82 (step @p6370 :rule bool-impl-true1 :args (@t2618)) % 1.61/1.82 (step @p6371 :rule eq-refl :args (@t928)) % 1.61/1.82 (step @p6372 :rule cong :premises (@p6357 @p6371) :args (@t1057)) % 1.61/1.82 (step @p6373 :rule trans :premises (@p6372 @p6370)) % 1.61/1.82 (step @p6374 :rule cong :premises (@p6373) :args (@t1058)) % 1.61/1.82 (step @p6375 :rule trans :premises (@p6374 @p6369)) % 1.61/1.82 (step @p6376 :rule refl :args (tptp.lam2lamEq)) % 1.61/1.82 (step @p6377 :rule cong :premises (@p6376 @p6375) :args (@t1059)) % 1.61/1.82 (step @p6378 :rule trans :premises (@p6377 @p6367)) % 1.61/1.82 (step @p6379 :rule eq_resolve :premises (@p214 @p6378)) % 1.61/1.82 (step @p6380 :rule eq_resolve :premises (@p6379 @p6368)) % 1.61/1.82 (step @p6381 :rule cong :premises (@p6380 @p6366) :args (@t5601)) % 1.61/1.82 (step @p6382 :rule refl :args (@t2624)) % 1.61/1.82 (step @p6383 :rule refl :args (@t889)) % 1.61/1.82 (step @p6384 :rule cong :premises (@p6383 @p6382) :args ((= @t889 @t2624))) % 1.61/1.82 (step @p6385 :rule symm :premises (@p6384)) % 1.61/1.82 (step @p6386 :rule eq_resolve :premises (@p6383 @p6385)) % 1.61/1.82 (step @p6387 :rule cong :premises (@p6386) :args (@t5602)) % 1.61/1.82 (step @p6388 :rule nary_cong :premises (@p6387 @p6238) :args (@t5603)) % 1.61/1.82 (step @p6389 :rule cong :premises (@p6388) :args ((forall @t891 @t5603))) % 1.61/1.82 (step @p6390 :rule bool-impl-elim :args (@t889 @t5579)) % 1.61/1.82 (step @p6391 :rule cong :premises (@p6390) :args ((forall @t891 (=> @t889 @t5579)))) % 1.61/1.82 (step @p6392 :rule trans :premises (@p6391 @p6389)) % 1.61/1.82 (step @p6393 :rule refl :args (@t889)) % 1.61/1.82 (step @p6394 :rule cong :premises (@p6393 @p6261) :args (@t1054)) % 1.61/1.82 (step @p6395 :rule cong :premises (@p6394) :args (@t1055)) % 1.61/1.82 (step @p6396 :rule trans :premises (@p6395 @p6392)) % 1.61/1.82 (step @p6397 :rule refl :args (tptp.eta1)) % 1.61/1.82 (step @p6398 :rule cong :premises (@p6397 @p6396) :args (@t1056)) % 1.61/1.82 (step @p6399 :rule eq_resolve :premises (@p213 @p6398)) % 1.61/1.82 (step @p6400 :rule cong :premises (@p6399 @p6381) :args (@t5604)) % 1.61/1.82 (step @p6401 :rule refl :args (tptp.beta1)) % 1.61/1.82 (step @p6402 :rule cong :premises (@p6401 @p6360) :args (@t1050)) % 1.61/1.82 (step @p6403 :rule eq_resolve :premises (@p212 @p6402)) % 1.61/1.82 (step @p6404 :rule cong :premises (@p6403 @p6400) :args (@t5605)) % 1.61/1.82 (step @p6405 :rule bool-eq-true :args (tptp.ap2apEq2)) % 1.61/1.82 (step @p6406 :rule symm :premises (@p6405)) % 1.61/1.82 (step @p6407 :rule quant-unused-vars :args ((= (forall @t891 true) true))) % 1.61/1.82 (step @p6408 :rule bool-impl-true1 :args (@t889)) % 1.61/1.82 (step @p6409 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 1.61/1.82 (step @p6410 :rule bool-impl-true1 :args (@t7)) % 1.61/1.82 (step @p6411 :rule eq-refl :args (@t901)) % 1.61/1.82 (step @p6412 :rule cong :premises (@p942 @p6411) :args (@t1034)) % 1.61/1.82 (step @p6413 :rule trans :premises (@p6412 @p6410)) % 1.61/1.82 (step @p6414 :rule cong :premises (@p6413) :args (@t1035)) % 1.61/1.82 (step @p6415 :rule trans :premises (@p6414 @p6409)) % 1.61/1.82 (step @p6416 :rule cong :premises (@p6393 @p6415) :args (@t1039)) % 1.61/1.82 (step @p6417 :rule trans :premises (@p6416 @p6408)) % 1.61/1.82 (step @p6418 :rule cong :premises (@p6417) :args (@t1040)) % 1.61/1.82 (step @p6419 :rule trans :premises (@p6418 @p6407)) % 1.61/1.82 (step @p6420 :rule refl :args (tptp.ap2apEq2)) % 1.61/1.82 (step @p6421 :rule cong :premises (@p6420 @p6419) :args (@t1041)) % 1.61/1.82 (step @p6422 :rule trans :premises (@p6421 @p6405)) % 1.61/1.82 (step @p6423 :rule eq_resolve :premises (@p211 @p6422)) % 1.61/1.82 (step @p6424 :rule eq_resolve :premises (@p6423 @p6406)) % 1.61/1.82 (step @p6425 :rule cong :premises (@p6424 @p6404) :args (@t5606)) % 1.61/1.82 (step @p6426 :rule bool-eq-true :args (tptp.ap2apEq1)) % 1.61/1.82 (step @p6427 :rule symm :premises (@p6426)) % 1.61/1.82 (step @p6428 :rule bool-impl-true1 :args (@t909)) % 1.61/1.82 (step @p6429 :rule cong :premises (@p6262 @p6415) :args (@t1036)) % 1.61/1.82 (step @p6430 :rule trans :premises (@p6429 @p6428)) % 1.61/1.82 (step @p6431 :rule cong :premises (@p6430) :args (@t1037)) % 1.61/1.82 (step @p6432 :rule trans :premises (@p6431 @p6407)) % 1.61/1.82 (step @p6433 :rule refl :args (tptp.ap2apEq1)) % 1.61/1.82 (step @p6434 :rule cong :premises (@p6433 @p6432) :args (@t1038)) % 1.61/1.82 (step @p6435 :rule trans :premises (@p6434 @p6426)) % 1.61/1.82 (step @p6436 :rule eq_resolve :premises (@p210 @p6435)) % 1.61/1.82 (step @p6437 :rule eq_resolve :premises (@p6436 @p6427)) % 1.61/1.82 (step @p6438 :rule cong :premises (@p6437 @p6425) :args (@t5607)) % 1.61/1.82 (step @p6439 :rule aci_norm :args ((= @t5609 @t2631))) % 1.61/1.82 (step @p6440 :rule cong :premises (@p6439) :args (@t5610)) % 1.61/1.82 (step @p6441 :rule quant-merge-prenex :args ((= (forall @t891 @t5612) @t5610))) % 1.61/1.82 (step @p6442 :rule alpha_equiv :args (@t5613 (@list @t2627) @t5614)) % 1.61/1.82 (step @p6443 :rule refl :args (@t2611)) % 1.61/1.82 (step @p6444 :rule nary_cong :premises (@p6443 @p6442) :args (@t5615)) % 1.61/1.82 (step @p6445 :rule quant-miniscope-or :args ((= @t5612 @t5615))) % 1.61/1.82 (step @p6446 :rule trans :premises (@p6445 @p6444)) % 1.61/1.82 (step @p6447 :rule symm :premises (@p6446)) % 1.61/1.82 (step @p6448 :rule cong :premises (@p6447) :args ((forall @t891 (or @t2611 @t5620)))) % 1.61/1.82 (step @p6449 :rule trans :premises (@p6448 @p6441)) % 1.61/1.82 (step @p6450 :rule trans :premises (@p6449 @p6440)) % 1.61/1.82 (step @p6451 :rule refl :args (@t5620)) % 1.61/1.82 (step @p6452 :rule nary_cong :premises (@p6255 @p6451) :args (@t5621)) % 1.61/1.82 (step @p6453 :rule cong :premises (@p6452) :args ((forall @t891 @t5621))) % 1.61/1.82 (step @p6454 :rule trans :premises (@p6453 @p6450)) % 1.61/1.82 (step @p6455 :rule bool-impl-elim :args (@t909 @t5620)) % 1.61/1.82 (step @p6456 :rule cong :premises (@p6455) :args ((forall @t891 (=> @t909 @t5620)))) % 1.61/1.82 (step @p6457 :rule trans :premises (@p6456 @p6454)) % 1.61/1.82 (step @p6458 :rule refl :args (@t1020)) % 1.61/1.82 (step @p6459 :rule refl :args (@t5618)) % 1.61/1.82 (step @p6460 :rule refl :args ((tptp.in @t973 @t907))) % 1.61/1.82 (step @p6461 :rule refl :args (@t973)) % 1.61/1.82 (step @p6462 :rule cong :premises (@p6461 @p6240) :args (@t5619)) % 1.61/1.82 (step @p6463 :rule trans :premises (@p6462 @p6460)) % 1.61/1.82 (step @p6464 :rule refl :args (@t1027)) % 1.61/1.82 (step @p6465 :rule ho_cong :premises (@p6464 @p6240)) % 1.61/1.82 (step @p6466 :rule cong :premises (@p6465 @p6463) :args ((= (_ @t1027 @t2609) @t5619))) % 1.61/1.82 (step @p6467 :rule symm :premises (@p6466)) % 1.61/1.82 (step @p6468 :rule refl :args (@t1028)) % 1.61/1.82 (step @p6469 :rule eq_resolve :premises (@p6468 @p6467)) % 1.61/1.82 (step @p6470 :rule ho_cong :premises (@p6464 @p6252)) % 1.61/1.82 (step @p6471 :rule trans :premises (@p6470 @p6469)) % 1.61/1.82 (step @p6472 :rule cong :premises (@p6471) :args (@t5622)) % 1.61/1.82 (step @p6473 :rule nary_cong :premises (@p6472 @p6459 @p6458) :args (@t5623)) % 1.61/1.82 (step @p6474 :rule cong :premises (@p6473) :args ((forall @t985 @t5623))) % 1.61/1.82 (step @p6475 :rule aci_norm :args ((= (or @t5622 @t5624) @t5623))) % 1.61/1.82 (step @p6476 :rule bool-impl-elim :args (@t5617 @t1020)) % 1.61/1.82 (step @p6477 :rule refl :args (@t5622)) % 1.61/1.82 (step @p6478 :rule nary_cong :premises (@p6477 @p6476) :args ((or @t5622 @t5625))) % 1.61/1.82 (step @p6479 :rule trans :premises (@p6478 @p6475)) % 1.61/1.82 (step @p6480 :rule bool-impl-elim :args (@t1028 @t5625)) % 1.61/1.82 (step @p6481 :rule trans :premises (@p6480 @p6479)) % 1.61/1.82 (step @p6482 :rule cong :premises (@p6481) :args ((forall @t985 (=> @t1028 @t5625)))) % 1.61/1.82 (step @p6483 :rule trans :premises (@p6482 @p6474)) % 1.61/1.82 (step @p6484 :rule refl :args (@t1020)) % 1.61/1.82 (step @p6485 :rule refl :args (@t5616)) % 1.61/1.82 (step @p6486 :rule refl :args (@t979)) % 1.61/1.82 (step @p6487 :rule cong :premises (@p6486 @p6485) :args ((= @t979 @t5616))) % 1.61/1.82 (step @p6488 :rule symm :premises (@p6487)) % 1.61/1.82 (step @p6489 :rule eq_resolve :premises (@p6486 @p6488)) % 1.61/1.82 (step @p6490 :rule cong :premises (@p6233 @p6489) :args (@t980)) % 1.61/1.82 (step @p6491 :rule nary_cong :premises (@p883 @p6490) :args (@t5626)) % 1.61/1.82 (step @p6492 :rule cong :premises (@p6491) :args ((forall @t9 @t5626))) % 1.61/1.82 (step @p6493 :rule bool-impl-elim :args (@t7 @t980)) % 1.61/1.82 (step @p6494 :rule cong :premises (@p6493) :args (@t981)) % 1.61/1.82 (step @p6495 :rule trans :premises (@p6494 @p6492)) % 1.61/1.82 (step @p6496 :rule cong :premises (@p6495 @p6484) :args (@t1021)) % 1.61/1.82 (step @p6497 :rule refl :args (@t1028)) % 1.61/1.82 (step @p6498 :rule cong :premises (@p6497 @p6496) :args (@t1029)) % 1.61/1.82 (step @p6499 :rule cong :premises (@p6498) :args (@t1030)) % 1.61/1.82 (step @p6500 :rule trans :premises (@p6499 @p6483)) % 1.61/1.82 (step @p6501 :rule cong :premises (@p6262 @p6500) :args (@t1031)) % 1.61/1.82 (step @p6502 :rule cong :premises (@p6501) :args (@t1032)) % 1.61/1.82 (step @p6503 :rule trans :premises (@p6502 @p6457)) % 1.61/1.82 (step @p6504 :rule refl :args (tptp.funcext2)) % 1.61/1.82 (step @p6505 :rule cong :premises (@p6504 @p6503) :args (@t1033)) % 1.61/1.82 (step @p6506 :rule eq_resolve :premises (@p209 @p6505)) % 1.61/1.82 (step @p6507 :rule cong :premises (@p6506 @p6438) :args (@t5627)) % 1.61/1.82 (step @p6508 :rule aci_norm :args ((= @t5629 @t2638))) % 1.61/1.82 (step @p6509 :rule cong :premises (@p6508) :args (@t5630)) % 1.61/1.82 (step @p6510 :rule quant-merge-prenex :args ((= (forall @t891 @t5632) @t5630))) % 1.61/1.82 (step @p6511 :rule alpha_equiv :args (@t5633 (@list @t2634) @t5614)) % 1.61/1.82 (step @p6512 :rule refl :args (@t2625)) % 1.61/1.82 (step @p6513 :rule nary_cong :premises (@p6512 @p6511) :args (@t5634)) % 1.61/1.82 (step @p6514 :rule quant-miniscope-or :args ((= @t5632 @t5634))) % 1.61/1.82 (step @p6515 :rule trans :premises (@p6514 @p6513)) % 1.61/1.82 (step @p6516 :rule symm :premises (@p6515)) % 1.61/1.82 (step @p6517 :rule cong :premises (@p6516) :args ((forall @t891 (or @t2625 @t5637)))) % 1.61/1.82 (step @p6518 :rule trans :premises (@p6517 @p6510)) % 1.61/1.82 (step @p6519 :rule trans :premises (@p6518 @p6509)) % 1.61/1.82 (step @p6520 :rule refl :args (@t5637)) % 1.61/1.82 (step @p6521 :rule nary_cong :premises (@p6387 @p6520) :args (@t5638)) % 1.61/1.82 (step @p6522 :rule cong :premises (@p6521) :args ((forall @t891 @t5638))) % 1.61/1.82 (step @p6523 :rule trans :premises (@p6522 @p6519)) % 1.61/1.82 (step @p6524 :rule bool-impl-elim :args (@t889 @t5637)) % 1.61/1.82 (step @p6525 :rule cong :premises (@p6524) :args ((forall @t891 (=> @t889 @t5637)))) % 1.61/1.82 (step @p6526 :rule trans :premises (@p6525 @p6523)) % 1.61/1.82 (step @p6527 :rule refl :args (@t5635)) % 1.61/1.82 (step @p6528 :rule refl :args (@t983)) % 1.61/1.82 (step @p6529 :rule cong :premises (@p6528 @p6527) :args ((= @t983 @t5635))) % 1.61/1.82 (step @p6530 :rule symm :premises (@p6529)) % 1.61/1.82 (step @p6531 :rule eq_resolve :premises (@p6528 @p6530)) % 1.61/1.82 (step @p6532 :rule cong :premises (@p6531) :args (@t5639)) % 1.61/1.82 (step @p6533 :rule nary_cong :premises (@p6532 @p6459 @p6458) :args (@t5640)) % 1.61/1.82 (step @p6534 :rule cong :premises (@p6533) :args ((forall @t985 @t5640))) % 1.61/1.82 (step @p6535 :rule aci_norm :args ((= (or @t5639 @t5624) @t5640))) % 1.61/1.82 (step @p6536 :rule refl :args (@t5639)) % 1.61/1.82 (step @p6537 :rule nary_cong :premises (@p6536 @p6476) :args ((or @t5639 @t5625))) % 1.61/1.82 (step @p6538 :rule trans :premises (@p6537 @p6535)) % 1.61/1.82 (step @p6539 :rule bool-impl-elim :args (@t983 @t5625)) % 1.61/1.82 (step @p6540 :rule trans :premises (@p6539 @p6538)) % 1.61/1.82 (step @p6541 :rule cong :premises (@p6540) :args ((forall @t985 (=> @t983 @t5625)))) % 1.61/1.82 (step @p6542 :rule trans :premises (@p6541 @p6534)) % 1.61/1.82 (step @p6543 :rule refl :args (@t983)) % 1.61/1.82 (step @p6544 :rule cong :premises (@p6543 @p6496) :args (@t1022)) % 1.61/1.82 (step @p6545 :rule cong :premises (@p6544) :args (@t1023)) % 1.61/1.82 (step @p6546 :rule trans :premises (@p6545 @p6542)) % 1.61/1.82 (step @p6547 :rule cong :premises (@p6393 @p6546) :args (@t1024)) % 1.61/1.82 (step @p6548 :rule cong :premises (@p6547) :args (@t1025)) % 1.61/1.82 (step @p6549 :rule trans :premises (@p6548 @p6526)) % 1.61/1.82 (step @p6550 :rule refl :args (tptp.funcext)) % 1.61/1.82 (step @p6551 :rule cong :premises (@p6550 @p6549) :args (@t1026)) % 1.61/1.82 (step @p6552 :rule eq_resolve :premises (@p208 @p6551)) % 1.61/1.82 (step @p6553 :rule cong :premises (@p6552 @p6507) :args (@t5641)) % 1.61/1.82 (step @p6554 :rule aci_norm :args ((= @t5643 @t2658))) % 1.61/1.82 (step @p6555 :rule cong :premises (@p6554) :args (@t5644)) % 1.61/1.82 (step @p6556 :rule quant-merge-prenex :args ((= (forall @t950 @t5646) @t5644))) % 1.61/1.82 (step @p6557 :rule alpha_equiv :args (@t5647 (@list @t2641) @t3693)) % 1.61/1.82 (step @p6558 :rule refl :args (@t2657)) % 1.61/1.82 (step @p6559 :rule nary_cong :premises (@p6558 @p6557) :args (@t5648)) % 1.61/1.82 (step @p6560 :rule quant-miniscope-or :args ((= @t5646 @t5648))) % 1.61/1.82 (step @p6561 :rule trans :premises (@p6560 @p6559)) % 1.61/1.82 (step @p6562 :rule symm :premises (@p6561)) % 1.61/1.82 (step @p6563 :rule cong :premises (@p6562) :args ((forall @t950 (or @t2657 @t5659)))) % 1.61/1.82 (step @p6564 :rule trans :premises (@p6563 @p6556)) % 1.61/1.82 (step @p6565 :rule trans :premises (@p6564 @p6555)) % 1.61/1.82 (step @p6566 :rule refl :args (@t5659)) % 1.61/1.82 (step @p6567 :rule refl :args (@t2656)) % 1.61/1.82 (step @p6568 :rule refl :args (@t948)) % 1.61/1.82 (step @p6569 :rule cong :premises (@p6568 @p6567) :args ((= @t948 @t2656))) % 1.61/1.82 (step @p6570 :rule symm :premises (@p6569)) % 1.61/1.82 (step @p6571 :rule eq_resolve :premises (@p6568 @p6570)) % 1.61/1.82 (step @p6572 :rule cong :premises (@p6571) :args (@t5660)) % 1.61/1.82 (step @p6573 :rule nary_cong :premises (@p6572 @p6566) :args (@t5661)) % 1.61/1.82 (step @p6574 :rule cong :premises (@p6573) :args ((forall @t950 @t5661))) % 1.61/1.82 (step @p6575 :rule trans :premises (@p6574 @p6565)) % 1.61/1.82 (step @p6576 :rule bool-impl-elim :args (@t948 @t5659)) % 1.61/1.82 (step @p6577 :rule cong :premises (@p6576) :args ((forall @t950 (=> @t948 @t5659)))) % 1.61/1.82 (step @p6578 :rule trans :premises (@p6577 @p6575)) % 1.61/1.82 (step @p6579 :rule refl :args (@t5652)) % 1.61/1.82 (step @p6580 :rule refl :args (@t5656)) % 1.61/1.82 (step @p6581 :rule refl :args (@t5657)) % 1.61/1.82 (step @p6582 :rule refl :args (@t1001)) % 1.61/1.82 (step @p6583 :rule cong :premises (@p6582 @p6581) :args ((= @t1001 @t5657))) % 1.61/1.82 (step @p6584 :rule symm :premises (@p6583)) % 1.61/1.82 (step @p6585 :rule eq_resolve :premises (@p6582 @p6584)) % 1.61/1.82 (step @p6586 :rule cong :premises (@p6585) :args (@t5662)) % 1.61/1.82 (step @p6587 :rule nary_cong :premises (@p6586 @p6580 @p6579 @p1637) :args (@t5663)) % 1.61/1.82 (step @p6588 :rule cong :premises (@p6587) :args ((forall @t1003 @t5663))) % 1.61/1.82 (step @p6589 :rule aci_norm :args ((= (or @t5662 @t5664) @t5663))) % 1.61/1.82 (step @p6590 :rule aci_norm :args ((= (or @t5656 (or @t5652 @t1008)) @t5664))) % 1.61/1.82 (step @p6591 :rule bool-impl-elim :args (@t5651 @t1008)) % 1.61/1.82 (step @p6592 :rule nary_cong :premises (@p6580 @p6591) :args ((or @t5656 @t5665))) % 1.61/1.82 (step @p6593 :rule trans :premises (@p6592 @p6590)) % 1.61/1.82 (step @p6594 :rule bool-impl-elim :args (@t5655 @t5665)) % 1.61/1.82 (step @p6595 :rule trans :premises (@p6594 @p6593)) % 1.61/1.82 (step @p6596 :rule refl :args (@t5662)) % 1.61/1.82 (step @p6597 :rule nary_cong :premises (@p6596 @p6595) :args ((or @t5662 @t5666))) % 1.61/1.82 (step @p6598 :rule trans :premises (@p6597 @p6589)) % 1.61/1.82 (step @p6599 :rule bool-impl-elim :args (@t1001 @t5666)) % 1.61/1.82 (step @p6600 :rule trans :premises (@p6599 @p6598)) % 1.61/1.82 (step @p6601 :rule cong :premises (@p6600) :args ((forall @t1003 (=> @t1001 @t5666)))) % 1.61/1.82 (step @p6602 :rule trans :premises (@p6601 @p6588)) % 1.61/1.82 (step @p6603 :rule aci_norm :args ((= @t5668 @t5650))) % 1.61/1.82 (step @p6604 :rule cong :premises (@p6603) :args (@t5669)) % 1.61/1.82 (step @p6605 :rule quant-merge-prenex :args ((= (forall @t9 @t5671) @t5669))) % 1.61/1.82 (step @p6606 :rule alpha_equiv :args (@t5672 (@list @t2643) @t3627)) % 1.61/1.82 (step @p6607 :rule nary_cong :premises (@p869 @p6606) :args (@t5673)) % 1.61/1.82 (step @p6608 :rule quant-miniscope-or :args ((= @t5671 @t5673))) % 1.61/1.82 (step @p6609 :rule trans :premises (@p6608 @p6607)) % 1.61/1.82 (step @p6610 :rule symm :premises (@p6609)) % 1.61/1.82 (step @p6611 :rule cong :premises (@p6610) :args ((forall @t9 (or @t2125 @t5674)))) % 1.61/1.82 (step @p6612 :rule trans :premises (@p6611 @p6605)) % 1.61/1.82 (step @p6613 :rule trans :premises (@p6612 @p6604)) % 1.61/1.82 (step @p6614 :rule refl :args (@t5674)) % 1.61/1.82 (step @p6615 :rule nary_cong :premises (@p883 @p6614) :args (@t5675)) % 1.61/1.82 (step @p6616 :rule cong :premises (@p6615) :args ((forall @t9 @t5675))) % 1.61/1.82 (step @p6617 :rule trans :premises (@p6616 @p6613)) % 1.61/1.82 (step @p6618 :rule bool-impl-elim :args (@t7 @t5674)) % 1.61/1.82 (step @p6619 :rule cong :premises (@p6618) :args ((forall @t9 (=> @t7 @t5674)))) % 1.61/1.82 (step @p6620 :rule trans :premises (@p6619 @p6617)) % 1.61/1.82 (step @p6621 :rule nary_cong :premises (@p2089 @p924 @p1022) :args (@t5676)) % 1.61/1.82 (step @p6622 :rule cong :premises (@p6621) :args ((forall @t70 @t5676))) % 1.61/1.82 (step @p6623 :rule aci_norm :args ((= (or @t4065 @t3942) @t5676))) % 1.61/1.82 (step @p6624 :rule refl :args (@t4065)) % 1.61/1.82 (step @p6625 :rule nary_cong :premises (@p6624 @p1678) :args ((or @t4065 @t1009))) % 1.61/1.82 (step @p6626 :rule trans :premises (@p6625 @p6623)) % 1.61/1.82 (step @p6627 :rule bool-impl-elim :args (@t354 @t1009)) % 1.61/1.82 (step @p6628 :rule trans :premises (@p6627 @p6626)) % 1.61/1.82 (step @p6629 :rule cong :premises (@p6628) :args (@t1010)) % 1.61/1.82 (step @p6630 :rule trans :premises (@p6629 @p6622)) % 1.61/1.82 (step @p6631 :rule cong :premises (@p942 @p6630) :args (@t1011)) % 1.61/1.82 (step @p6632 :rule cong :premises (@p6631) :args (@t1012)) % 1.61/1.82 (step @p6633 :rule trans :premises (@p6632 @p6620)) % 1.61/1.82 (step @p6634 :rule cong :premises (@p6633 @p1656) :args (@t1013)) % 1.61/1.82 (step @p6635 :rule aci_norm :args ((= @t5678 @t5654))) % 1.61/1.82 (step @p6636 :rule cong :premises (@p6635) :args (@t5679)) % 1.61/1.82 (step @p6637 :rule quant-merge-prenex :args ((= (forall @t9 @t5681) @t5679))) % 1.61/1.82 (step @p6638 :rule alpha_equiv :args (@t5682 (@list @t2649) @t3627)) % 1.61/1.82 (step @p6639 :rule nary_cong :premises (@p869 @p6638) :args (@t5683)) % 1.61/1.82 (step @p6640 :rule quant-miniscope-or :args ((= @t5681 @t5683))) % 1.61/1.82 (step @p6641 :rule trans :premises (@p6640 @p6639)) % 1.61/1.82 (step @p6642 :rule symm :premises (@p6641)) % 1.61/1.82 (step @p6643 :rule cong :premises (@p6642) :args ((forall @t9 (or @t2125 @t5684)))) % 1.61/1.82 (step @p6644 :rule trans :premises (@p6643 @p6637)) % 1.61/1.82 (step @p6645 :rule trans :premises (@p6644 @p6636)) % 1.61/1.82 (step @p6646 :rule refl :args (@t5684)) % 1.61/1.82 (step @p6647 :rule nary_cong :premises (@p883 @p6646) :args (@t5685)) % 1.61/1.82 (step @p6648 :rule cong :premises (@p6647) :args ((forall @t9 @t5685))) % 1.61/1.82 (step @p6649 :rule trans :premises (@p6648 @p6645)) % 1.61/1.82 (step @p6650 :rule bool-impl-elim :args (@t7 @t5684)) % 1.61/1.82 (step @p6651 :rule cong :premises (@p6650) :args ((forall @t9 (=> @t7 @t5684)))) % 1.61/1.82 (step @p6652 :rule trans :premises (@p6651 @p6649)) % 1.61/1.82 (step @p6653 :rule nary_cong :premises (@p2089 @p1023 @p923) :args (@t5686)) % 1.61/1.82 (step @p6654 :rule cong :premises (@p6653) :args ((forall @t70 @t5686))) % 1.61/1.82 (step @p6655 :rule aci_norm :args ((= (or @t4065 @t3953) @t5686))) % 1.61/1.82 (step @p6656 :rule nary_cong :premises (@p6624 @p1710) :args ((or @t4065 @t996))) % 1.61/1.82 (step @p6657 :rule trans :premises (@p6656 @p6655)) % 1.61/1.82 (step @p6658 :rule bool-impl-elim :args (@t354 @t996)) % 1.61/1.82 (step @p6659 :rule trans :premises (@p6658 @p6657)) % 1.61/1.82 (step @p6660 :rule cong :premises (@p6659) :args (@t997)) % 1.61/1.82 (step @p6661 :rule trans :premises (@p6660 @p6654)) % 1.61/1.82 (step @p6662 :rule cong :premises (@p942 @p6661) :args (@t998)) % 1.61/1.82 (step @p6663 :rule cong :premises (@p6662) :args (@t999)) % 1.61/1.82 (step @p6664 :rule trans :premises (@p6663 @p6652)) % 1.61/1.82 (step @p6665 :rule cong :premises (@p6664 @p6634) :args (@t1014)) % 1.61/1.82 (step @p6666 :rule refl :args (@t1001)) % 1.61/1.82 (step @p6667 :rule cong :premises (@p6666 @p6665) :args (@t1015)) % 1.61/1.82 (step @p6668 :rule cong :premises (@p6667) :args (@t1016)) % 1.61/1.82 (step @p6669 :rule trans :premises (@p6668 @p6602)) % 1.61/1.82 (step @p6670 :rule refl :args (@t948)) % 1.61/1.82 (step @p6671 :rule cong :premises (@p6670 @p6669) :args (@t1017)) % 1.61/1.82 (step @p6672 :rule cong :premises (@p6671) :args (@t1018)) % 1.61/1.82 (step @p6673 :rule trans :premises (@p6672 @p6578)) % 1.61/1.82 (step @p6674 :rule refl :args (tptp.eqbreln)) % 1.61/1.82 (step @p6675 :rule cong :premises (@p6674 @p6673) :args (@t1019)) % 1.61/1.82 (step @p6676 :rule eq_resolve :premises (@p207 @p6675)) % 1.61/1.82 (step @p6677 :rule cong :premises (@p6676 @p6553) :args (@t5687)) % 1.61/1.82 (step @p6678 :rule aci_norm :args ((= @t5689 @t2665))) % 1.61/1.82 (step @p6679 :rule cong :premises (@p6678) :args (@t5690)) % 1.61/1.82 (step @p6680 :rule quant-merge-prenex :args ((= (forall @t950 @t5692) @t5690))) % 1.61/1.82 (step @p6681 :rule alpha_equiv :args (@t5693 (@list @t2661) @t3693)) % 1.61/1.82 (step @p6682 :rule nary_cong :premises (@p6558 @p6681) :args (@t5694)) % 1.61/1.82 (step @p6683 :rule quant-miniscope-or :args ((= @t5692 @t5694))) % 1.61/1.82 (step @p6684 :rule trans :premises (@p6683 @p6682)) % 1.61/1.82 (step @p6685 :rule symm :premises (@p6684)) % 1.61/1.82 (step @p6686 :rule cong :premises (@p6685) :args ((forall @t950 (or @t2657 @t5695)))) % 1.61/1.82 (step @p6687 :rule trans :premises (@p6686 @p6680)) % 1.61/1.82 (step @p6688 :rule trans :premises (@p6687 @p6679)) % 1.61/1.82 (step @p6689 :rule refl :args (@t5695)) % 1.61/1.82 (step @p6690 :rule nary_cong :premises (@p6572 @p6689) :args (@t5696)) % 1.61/1.82 (step @p6691 :rule cong :premises (@p6690) :args ((forall @t950 @t5696))) % 1.61/1.82 (step @p6692 :rule trans :premises (@p6691 @p6688)) % 1.61/1.82 (step @p6693 :rule bool-impl-elim :args (@t948 @t5695)) % 1.61/1.82 (step @p6694 :rule cong :premises (@p6693) :args ((forall @t950 (=> @t948 @t5695)))) % 1.61/1.82 (step @p6695 :rule trans :premises (@p6694 @p6692)) % 1.61/1.82 (step @p6696 :rule nary_cong :premises (@p6586 @p6580 @p1753) :args (@t5697)) % 1.61/1.82 (step @p6697 :rule cong :premises (@p6696) :args ((forall @t1003 @t5697))) % 1.61/1.82 (step @p6698 :rule aci_norm :args ((= (or @t5662 (or @t5656 @t994)) @t5697))) % 1.61/1.82 (step @p6699 :rule bool-impl-elim :args (@t5655 @t994)) % 1.61/1.82 (step @p6700 :rule nary_cong :premises (@p6596 @p6699) :args ((or @t5662 @t5698))) % 1.61/1.82 (step @p6701 :rule trans :premises (@p6700 @p6698)) % 1.61/1.82 (step @p6702 :rule bool-impl-elim :args (@t1001 @t5698)) % 1.61/1.82 (step @p6703 :rule trans :premises (@p6702 @p6701)) % 1.61/1.82 (step @p6704 :rule cong :premises (@p6703) :args ((forall @t1003 (=> @t1001 @t5698)))) % 1.61/1.82 (step @p6705 :rule trans :premises (@p6704 @p6697)) % 1.61/1.82 (step @p6706 :rule cong :premises (@p6664 @p1764) :args (@t1000)) % 1.61/1.82 (step @p6707 :rule cong :premises (@p6666 @p6706) :args (@t1002)) % 1.61/1.82 (step @p6708 :rule cong :premises (@p6707) :args (@t1004)) % 1.61/1.82 (step @p6709 :rule trans :premises (@p6708 @p6705)) % 1.61/1.82 (step @p6710 :rule cong :premises (@p6670 @p6709) :args (@t1005)) % 1.61/1.82 (step @p6711 :rule cong :premises (@p6710) :args (@t1006)) % 1.61/1.82 (step @p6712 :rule trans :premises (@p6711 @p6695)) % 1.61/1.82 (step @p6713 :rule refl :args (tptp.subbreln)) % 1.61/1.82 (step @p6714 :rule cong :premises (@p6713 @p6712) :args (@t1007)) % 1.61/1.82 (step @p6715 :rule eq_resolve :premises (@p206 @p6714)) % 1.61/1.82 (step @p6716 :rule cong :premises (@p6715 @p6677) :args (@t5699)) % 1.61/1.82 (step @p6717 :rule eq-symm :args (@t2669 @t2670)) % 1.61/1.82 (step @p6718 :rule refl :args (@t2671)) % 1.61/1.82 (step @p6719 :rule refl :args (@t2672)) % 1.61/1.82 (step @p6720 :rule refl :args (@t2673)) % 1.61/1.82 (step @p6721 :rule refl :args (@t2611)) % 1.61/1.82 (step @p6722 :rule nary_cong :premises (@p6721 @p6720 @p6719 @p6718 @p6717) :args (@t5701)) % 1.61/1.82 (step @p6723 :rule aci_norm :args ((= @t5703 @t5701))) % 1.61/1.82 (step @p6724 :rule trans :premises (@p6723 @p6722)) % 1.61/1.82 (step @p6725 :rule cong :premises (@p6724) :args (@t5704)) % 1.61/1.82 (step @p6726 :rule quant-merge-prenex :args ((= (forall @t891 @t5706) @t5704))) % 1.61/1.82 (step @p6727 :rule alpha_equiv :args (@t5707 (@list @t2668 @t2670) @t5709)) % 1.61/1.82 (step @p6728 :rule nary_cong :premises (@p6443 @p6727) :args (@t5710)) % 1.61/1.82 (step @p6729 :rule quant-miniscope-or :args ((= @t5706 @t5710))) % 1.61/1.82 (step @p6730 :rule trans :premises (@p6729 @p6728)) % 1.61/1.82 (step @p6731 :rule symm :premises (@p6730)) % 1.61/1.82 (step @p6732 :rule cong :premises (@p6731) :args ((forall @t891 (or @t2611 @t5714)))) % 1.61/1.82 (step @p6733 :rule trans :premises (@p6732 @p6726)) % 1.61/1.82 (step @p6734 :rule trans :premises (@p6733 @p6725)) % 1.61/1.82 (step @p6735 :rule refl :args (@t5714)) % 1.61/1.82 (step @p6736 :rule nary_cong :premises (@p6255 @p6735) :args (@t5715)) % 1.61/1.82 (step @p6737 :rule cong :premises (@p6736) :args ((forall @t891 @t5715))) % 1.61/1.82 (step @p6738 :rule trans :premises (@p6737 @p6734)) % 1.61/1.82 (step @p6739 :rule bool-impl-elim :args (@t909 @t5714)) % 1.61/1.82 (step @p6740 :rule cong :premises (@p6739) :args ((forall @t891 (=> @t909 @t5714)))) % 1.61/1.82 (step @p6741 :rule trans :premises (@p6740 @p6738)) % 1.61/1.82 (step @p6742 :rule eq-symm :args (@t5708 @t2605)) % 1.61/1.82 (step @p6743 :rule refl :args (@t5711)) % 1.61/1.82 (step @p6744 :rule refl :args (@t5712)) % 1.61/1.82 (step @p6745 :rule nary_cong :premises (@p3756 @p6744 @p6743 @p6742) :args (@t5717)) % 1.61/1.82 (step @p6746 :rule aci_norm :args ((= @t5719 @t5717))) % 1.61/1.82 (step @p6747 :rule trans :premises (@p6746 @p6745)) % 1.61/1.82 (step @p6748 :rule cong :premises (@p6747) :args (@t5720)) % 1.61/1.82 (step @p6749 :rule quant-merge-prenex :args ((= (forall @t9 @t5722) @t5720))) % 1.61/1.82 (step @p6750 :rule alpha_equiv :args (@t5723 (@list @t5708) @t3627)) % 1.61/1.82 (step @p6751 :rule nary_cong :premises (@p869 @p6750) :args (@t5724)) % 1.61/1.82 (step @p6752 :rule quant-miniscope-or :args ((= @t5722 @t5724))) % 1.61/1.82 (step @p6753 :rule trans :premises (@p6752 @p6751)) % 1.61/1.82 (step @p6754 :rule symm :premises (@p6753)) % 1.61/1.82 (step @p6755 :rule cong :premises (@p6754) :args ((forall @t9 (or @t2125 @t5726)))) % 1.61/1.82 (step @p6756 :rule trans :premises (@p6755 @p6749)) % 1.61/1.82 (step @p6757 :rule trans :premises (@p6756 @p6748)) % 1.61/1.82 (step @p6758 :rule refl :args (@t5726)) % 1.61/1.82 (step @p6759 :rule nary_cong :premises (@p883 @p6758) :args (@t5727)) % 1.61/1.82 (step @p6760 :rule cong :premises (@p6759) :args ((forall @t9 @t5727))) % 1.61/1.82 (step @p6761 :rule trans :premises (@p6760 @p6757)) % 1.61/1.82 (step @p6762 :rule bool-impl-elim :args (@t7 @t5726)) % 1.61/1.82 (step @p6763 :rule cong :premises (@p6762) :args ((forall @t9 (=> @t7 @t5726)))) % 1.61/1.82 (step @p6764 :rule trans :premises (@p6763 @p6761)) % 1.61/1.82 (step @p6765 :rule cong :premises (@p5560 @p6233) :args (@t5728)) % 1.61/1.82 (step @p6766 :rule refl :args ((tptp.in @t633 @t882))) % 1.61/1.82 (step @p6767 :rule cong :premises (@p892 @p6237) :args (@t5725)) % 1.61/1.82 (step @p6768 :rule trans :premises (@p6767 @p6766)) % 1.61/1.82 (step @p6769 :rule ho_cong :premises (@p896 @p6237)) % 1.61/1.82 (step @p6770 :rule cong :premises (@p6769 @p6768) :args ((= (_ @t3634 @t882) @t5725))) % 1.61/1.82 (step @p6771 :rule symm :premises (@p6770)) % 1.61/1.82 (step @p6772 :rule refl :args (@t883)) % 1.61/1.82 (step @p6773 :rule eq_resolve :premises (@p6772 @p6771)) % 1.61/1.82 (step @p6774 :rule ho_cong :premises (@p910 @p6237)) % 1.61/1.82 (step @p6775 :rule trans :premises (@p6774 @p6773)) % 1.61/1.82 (step @p6776 :rule cong :premises (@p6775) :args (@t5729)) % 1.61/1.82 (step @p6777 :rule nary_cong :premises (@p2089 @p6776 @p6765) :args (@t5730)) % 1.61/1.82 (step @p6778 :rule cong :premises (@p6777) :args ((forall @t70 @t5730))) % 1.61/1.82 (step @p6779 :rule aci_norm :args ((= (or @t4065 (or @t5729 @t5728)) @t5730))) % 1.61/1.82 (step @p6780 :rule bool-impl-elim :args (@t883 @t5728)) % 1.61/1.82 (step @p6781 :rule nary_cong :premises (@p6624 @p6780) :args ((or @t4065 @t5731))) % 1.61/1.82 (step @p6782 :rule trans :premises (@p6781 @p6779)) % 1.61/1.82 (step @p6783 :rule bool-impl-elim :args (@t354 @t5731)) % 1.61/1.82 (step @p6784 :rule trans :premises (@p6783 @p6782)) % 1.61/1.82 (step @p6785 :rule cong :premises (@p6784) :args ((forall @t70 (=> @t354 @t5731)))) % 1.61/1.82 (step @p6786 :rule trans :premises (@p6785 @p6778)) % 1.61/1.82 (step @p6787 :rule eq-symm :args (@t901 @t19)) % 1.61/1.82 (step @p6788 :rule refl :args (@t883)) % 1.61/1.82 (step @p6789 :rule cong :premises (@p6788 @p6787) :args (@t965)) % 1.61/1.82 (step @p6790 :rule refl :args (@t354)) % 1.61/1.82 (step @p6791 :rule cong :premises (@p6790 @p6789) :args (@t966)) % 1.61/1.82 (step @p6792 :rule cong :premises (@p6791) :args (@t967)) % 1.61/1.82 (step @p6793 :rule trans :premises (@p6792 @p6786)) % 1.61/1.82 (step @p6794 :rule cong :premises (@p942 @p6793) :args (@t968)) % 1.61/1.82 (step @p6795 :rule cong :premises (@p6794) :args (@t969)) % 1.61/1.82 (step @p6796 :rule trans :premises (@p6795 @p6764)) % 1.61/1.82 (step @p6797 :rule cong :premises (@p6262 @p6796) :args (@t990)) % 1.61/1.82 (step @p6798 :rule cong :premises (@p6797) :args (@t991)) % 1.61/1.82 (step @p6799 :rule trans :premises (@p6798 @p6741)) % 1.61/1.82 (step @p6800 :rule refl :args (tptp.funcGraphProp4)) % 1.61/1.82 (step @p6801 :rule cong :premises (@p6800 @p6799) :args (@t992)) % 1.61/1.82 (step @p6802 :rule eq_resolve :premises (@p205 @p6801)) % 1.61/1.82 (step @p6803 :rule cong :premises (@p6802 @p6716) :args (@t5732)) % 1.61/1.82 (step @p6804 :rule aci_norm :args ((= @t5734 @t2686))) % 1.61/1.82 (step @p6805 :rule cong :premises (@p6804) :args (@t5735)) % 1.61/1.82 (step @p6806 :rule quant-merge-prenex :args ((= (forall @t891 @t5737) @t5735))) % 1.61/1.82 (step @p6807 :rule alpha_equiv :args (@t5738 (@list @t2680 @t2677 @t2676) (@list @t973 @t5740 @t5739))) % 1.61/1.82 (step @p6808 :rule nary_cong :premises (@p6512 @p6807) :args (@t5741)) % 1.61/1.82 (step @p6809 :rule quant-miniscope-or :args ((= @t5737 @t5741))) % 1.61/1.82 (step @p6810 :rule trans :premises (@p6809 @p6808)) % 1.61/1.82 (step @p6811 :rule symm :premises (@p6810)) % 1.61/1.82 (step @p6812 :rule cong :premises (@p6811) :args ((forall @t891 (or @t2625 @t5749)))) % 1.61/1.82 (step @p6813 :rule trans :premises (@p6812 @p6806)) % 1.61/1.82 (step @p6814 :rule trans :premises (@p6813 @p6805)) % 1.61/1.82 (step @p6815 :rule refl :args (@t5749)) % 1.61/1.82 (step @p6816 :rule nary_cong :premises (@p6387 @p6815) :args (@t5750)) % 1.61/1.82 (step @p6817 :rule cong :premises (@p6816) :args ((forall @t891 @t5750))) % 1.61/1.82 (step @p6818 :rule trans :premises (@p6817 @p6814)) % 1.61/1.82 (step @p6819 :rule bool-impl-elim :args (@t889 @t5749)) % 1.61/1.82 (step @p6820 :rule cong :premises (@p6819) :args ((forall @t891 (=> @t889 @t5749)))) % 1.61/1.82 (step @p6821 :rule trans :premises (@p6820 @p6818)) % 1.61/1.82 (step @p6822 :rule aci_norm :args ((= @t5752 @t5747))) % 1.61/1.82 (step @p6823 :rule cong :premises (@p6822) :args (@t5753)) % 1.61/1.82 (step @p6824 :rule quant-merge-prenex :args ((= (forall @t985 @t5755) @t5753))) % 1.61/1.82 (step @p6825 :rule alpha_equiv :args (@t5756 (@list @t5740 @t5739) (@list @t4 @t5757))) % 1.61/1.82 (step @p6826 :rule refl :args (@t5636)) % 1.61/1.82 (step @p6827 :rule nary_cong :premises (@p6826 @p6459 @p6825) :args (@t5758)) % 1.61/1.82 (step @p6828 :rule quant-miniscope-or :args ((= @t5755 @t5758))) % 1.61/1.82 (step @p6829 :rule trans :premises (@p6828 @p6827)) % 1.61/1.82 (step @p6830 :rule symm :premises (@p6829)) % 1.61/1.82 (step @p6831 :rule cong :premises (@p6830) :args ((forall @t985 (or @t5636 @t5618 @t5765)))) % 1.61/1.82 (step @p6832 :rule trans :premises (@p6831 @p6824)) % 1.61/1.82 (step @p6833 :rule trans :premises (@p6832 @p6823)) % 1.61/1.82 (step @p6834 :rule refl :args (@t5765)) % 1.61/1.82 (step @p6835 :rule nary_cong :premises (@p6532 @p6459 @p6834) :args (@t5766)) % 1.61/1.82 (step @p6836 :rule cong :premises (@p6835) :args ((forall @t985 @t5766))) % 1.61/1.82 (step @p6837 :rule trans :premises (@p6836 @p6833)) % 1.61/1.82 (step @p6838 :rule aci_norm :args ((= (or @t5639 (or @t5618 @t5765)) @t5766))) % 1.61/1.82 (step @p6839 :rule bool-impl-elim :args (@t5617 @t5765)) % 1.61/1.82 (step @p6840 :rule nary_cong :premises (@p6536 @p6839) :args ((or @t5639 @t5767))) % 1.61/1.82 (step @p6841 :rule trans :premises (@p6840 @p6838)) % 1.61/1.82 (step @p6842 :rule bool-impl-elim :args (@t983 @t5767)) % 1.61/1.82 (step @p6843 :rule trans :premises (@p6842 @p6841)) % 1.61/1.82 (step @p6844 :rule cong :premises (@p6843) :args ((forall @t985 (=> @t983 @t5767)))) % 1.61/1.82 (step @p6845 :rule trans :premises (@p6844 @p6837)) % 1.61/1.82 (step @p6846 :rule aci_norm :args ((= @t5769 @t5763))) % 1.61/1.82 (step @p6847 :rule cong :premises (@p6846) :args (@t5770)) % 1.61/1.82 (step @p6848 :rule quant-merge-prenex :args ((= (forall @t9 @t5772) @t5770))) % 1.61/1.82 (step @p6849 :rule alpha_equiv :args (@t5773 (@list @t5757) @t3627)) % 1.61/1.82 (step @p6850 :rule nary_cong :premises (@p869 @p6849) :args (@t5774)) % 1.61/1.82 (step @p6851 :rule quant-miniscope-or :args ((= @t5772 @t5774))) % 1.61/1.82 (step @p6852 :rule trans :premises (@p6851 @p6850)) % 1.61/1.82 (step @p6853 :rule symm :premises (@p6852)) % 1.61/1.82 (step @p6854 :rule cong :premises (@p6853) :args ((forall @t9 (or @t2125 @t5776)))) % 1.61/1.82 (step @p6855 :rule trans :premises (@p6854 @p6848)) % 1.61/1.82 (step @p6856 :rule trans :premises (@p6855 @p6847)) % 1.61/1.82 (step @p6857 :rule refl :args (@t5776)) % 1.61/1.82 (step @p6858 :rule nary_cong :premises (@p883 @p6857) :args (@t5777)) % 1.61/1.82 (step @p6859 :rule cong :premises (@p6858) :args ((forall @t9 @t5777))) % 1.61/1.82 (step @p6860 :rule trans :premises (@p6859 @p6856)) % 1.61/1.82 (step @p6861 :rule bool-impl-elim :args (@t7 @t5776)) % 1.61/1.82 (step @p6862 :rule cong :premises (@p6861) :args ((forall @t9 (=> @t7 @t5776)))) % 1.61/1.82 (step @p6863 :rule trans :premises (@p6862 @p6860)) % 1.61/1.82 (step @p6864 :rule refl :args ((tptp.in @t633 @t973))) % 1.61/1.82 (step @p6865 :rule cong :premises (@p892 @p6461) :args (@t5775)) % 1.61/1.82 (step @p6866 :rule trans :premises (@p6865 @p6864)) % 1.61/1.82 (step @p6867 :rule ho_cong :premises (@p896 @p6461)) % 1.61/1.82 (step @p6868 :rule cong :premises (@p6867 @p6866) :args ((= (_ @t3634 @t973) @t5775))) % 1.61/1.82 (step @p6869 :rule symm :premises (@p6868)) % 1.61/1.82 (step @p6870 :rule refl :args (@t974)) % 1.61/1.82 (step @p6871 :rule eq_resolve :premises (@p6870 @p6869)) % 1.61/1.82 (step @p6872 :rule ho_cong :premises (@p910 @p6461)) % 1.61/1.82 (step @p6873 :rule trans :premises (@p6872 @p6871)) % 1.61/1.82 (step @p6874 :rule cong :premises (@p6873) :args (@t5778)) % 1.61/1.82 (step @p6875 :rule nary_cong :premises (@p2089 @p6874 @p6775) :args (@t5779)) % 1.61/1.82 (step @p6876 :rule cong :premises (@p6875) :args ((forall @t70 @t5779))) % 1.61/1.82 (step @p6877 :rule aci_norm :args ((= (or @t4065 (or @t5778 @t883)) @t5779))) % 1.61/1.82 (step @p6878 :rule bool-impl-elim :args (@t974 @t883)) % 1.61/1.82 (step @p6879 :rule nary_cong :premises (@p6624 @p6878) :args ((or @t4065 @t975))) % 1.61/1.82 (step @p6880 :rule trans :premises (@p6879 @p6877)) % 1.61/1.82 (step @p6881 :rule bool-impl-elim :args (@t354 @t975)) % 1.61/1.82 (step @p6882 :rule trans :premises (@p6881 @p6880)) % 1.61/1.82 (step @p6883 :rule cong :premises (@p6882) :args (@t976)) % 1.61/1.82 (step @p6884 :rule trans :premises (@p6883 @p6876)) % 1.61/1.82 (step @p6885 :rule cong :premises (@p942 @p6884) :args (@t977)) % 1.61/1.82 (step @p6886 :rule cong :premises (@p6885) :args (@t978)) % 1.61/1.82 (step @p6887 :rule trans :premises (@p6886 @p6863)) % 1.61/1.82 (step @p6888 :rule cong :premises (@p6495 @p6887) :args (@t982)) % 1.61/1.82 (step @p6889 :rule cong :premises (@p6543 @p6888) :args (@t984)) % 1.61/1.82 (step @p6890 :rule cong :premises (@p6889) :args (@t986)) % 1.61/1.82 (step @p6891 :rule trans :premises (@p6890 @p6845)) % 1.61/1.82 (step @p6892 :rule cong :premises (@p6393 @p6891) :args (@t987)) % 1.61/1.82 (step @p6893 :rule cong :premises (@p6892) :args (@t988)) % 1.61/1.82 (step @p6894 :rule trans :premises (@p6893 @p6821)) % 1.61/1.82 (step @p6895 :rule refl :args (tptp.funcextLem)) % 1.61/1.82 (step @p6896 :rule cong :premises (@p6895 @p6894) :args (@t989)) % 1.61/1.82 (step @p6897 :rule eq_resolve :premises (@p204 @p6896)) % 1.61/1.82 (step @p6898 :rule cong :premises (@p6897 @p6803) :args (@t5780)) % 1.61/1.82 (step @p6899 :rule eq-symm :args (@t2690 @t2691)) % 1.61/1.82 (step @p6900 :rule refl :args (@t2692)) % 1.61/1.82 (step @p6901 :rule refl :args (@t2693)) % 1.61/1.82 (step @p6902 :rule refl :args (@t2694)) % 1.61/1.82 (step @p6903 :rule refl :args (@t2625)) % 1.61/1.82 (step @p6904 :rule nary_cong :premises (@p6903 @p6902 @p6901 @p6900 @p6899) :args (@t5782)) % 1.61/1.82 (step @p6905 :rule aci_norm :args ((= @t5784 @t5782))) % 1.61/1.82 (step @p6906 :rule trans :premises (@p6905 @p6904)) % 1.61/1.82 (step @p6907 :rule cong :premises (@p6906) :args (@t5785)) % 1.61/1.82 (step @p6908 :rule quant-merge-prenex :args ((= (forall @t891 @t5787) @t5785))) % 1.61/1.82 (step @p6909 :rule alpha_equiv :args (@t5788 (@list @t2689 @t2691) @t5709)) % 1.61/1.82 (step @p6910 :rule nary_cong :premises (@p6512 @p6909) :args (@t5789)) % 1.61/1.82 (step @p6911 :rule quant-miniscope-or :args ((= @t5787 @t5789))) % 1.61/1.82 (step @p6912 :rule trans :premises (@p6911 @p6910)) % 1.61/1.82 (step @p6913 :rule symm :premises (@p6912)) % 1.61/1.82 (step @p6914 :rule cong :premises (@p6913) :args ((forall @t891 (or @t2625 @t5714)))) % 1.61/1.82 (step @p6915 :rule trans :premises (@p6914 @p6908)) % 1.61/1.82 (step @p6916 :rule trans :premises (@p6915 @p6907)) % 1.61/1.82 (step @p6917 :rule nary_cong :premises (@p6387 @p6735) :args (@t5790)) % 1.61/1.82 (step @p6918 :rule cong :premises (@p6917) :args ((forall @t891 @t5790))) % 1.61/1.82 (step @p6919 :rule trans :premises (@p6918 @p6916)) % 1.61/1.82 (step @p6920 :rule bool-impl-elim :args (@t889 @t5714)) % 1.61/1.82 (step @p6921 :rule cong :premises (@p6920) :args ((forall @t891 (=> @t889 @t5714)))) % 1.61/1.82 (step @p6922 :rule trans :premises (@p6921 @p6919)) % 1.61/1.82 (step @p6923 :rule cong :premises (@p6393 @p6796) :args (@t970)) % 1.61/1.82 (step @p6924 :rule cong :premises (@p6923) :args (@t971)) % 1.61/1.82 (step @p6925 :rule trans :premises (@p6924 @p6922)) % 1.61/1.82 (step @p6926 :rule refl :args (tptp.funcGraphProp2)) % 1.61/1.82 (step @p6927 :rule cong :premises (@p6926 @p6925) :args (@t972)) % 1.61/1.82 (step @p6928 :rule eq_resolve :premises (@p203 @p6927)) % 1.61/1.82 (step @p6929 :rule cong :premises (@p6928 @p6898) :args (@t5791)) % 1.61/1.82 (step @p6930 :rule aci_norm :args ((= @t5793 @t2700))) % 1.61/1.82 (step @p6931 :rule cong :premises (@p6930) :args (@t5794)) % 1.61/1.82 (step @p6932 :rule quant-merge-prenex :args ((= (forall @t891 @t5796) @t5794))) % 1.61/1.82 (step @p6933 :rule alpha_equiv :args (@t5797 (@list @t2697) @t3992)) % 1.61/1.82 (step @p6934 :rule nary_cong :premises (@p6443 @p6933) :args (@t5798)) % 1.61/1.82 (step @p6935 :rule quant-miniscope-or :args ((= @t5796 @t5798))) % 1.61/1.82 (step @p6936 :rule trans :premises (@p6935 @p6934)) % 1.61/1.82 (step @p6937 :rule symm :premises (@p6936)) % 1.61/1.82 (step @p6938 :rule cong :premises (@p6937) :args ((forall @t891 (or @t2611 @t5801)))) % 1.61/1.82 (step @p6939 :rule trans :premises (@p6938 @p6932)) % 1.61/1.82 (step @p6940 :rule trans :premises (@p6939 @p6931)) % 1.61/1.82 (step @p6941 :rule refl :args (@t5801)) % 1.61/1.82 (step @p6942 :rule nary_cong :premises (@p6255 @p6941) :args (@t5802)) % 1.61/1.82 (step @p6943 :rule cong :premises (@p6942) :args ((forall @t891 @t5802))) % 1.61/1.82 (step @p6944 :rule trans :premises (@p6943 @p6940)) % 1.61/1.82 (step @p6945 :rule bool-impl-elim :args (@t909 @t5801)) % 1.61/1.82 (step @p6946 :rule cong :premises (@p6945) :args ((forall @t891 (=> @t909 @t5801)))) % 1.61/1.82 (step @p6947 :rule trans :premises (@p6946 @p6944)) % 1.61/1.82 (step @p6948 :rule refl :args ((tptp.in @t956 @t882))) % 1.61/1.82 (step @p6949 :rule refl :args ((tptp.kpair @t4 @t901))) % 1.61/1.82 (step @p6950 :rule cong :premises (@p3047 @p6220) :args (@t5799)) % 1.61/1.82 (step @p6951 :rule trans :premises (@p6950 @p6949)) % 1.61/1.82 (step @p6952 :rule cong :premises (@p6951 @p6237) :args (@t5800)) % 1.61/1.82 (step @p6953 :rule trans :premises (@p6952 @p6948)) % 1.61/1.82 (step @p6954 :rule ho_cong :premises (@p895 @p6951)) % 1.61/1.82 (step @p6955 :rule ho_cong :premises (@p6954 @p6237)) % 1.61/1.82 (step @p6956 :rule cong :premises (@p6955 @p6953) :args ((= (_ (_ tptp.in @t5799) @t882) @t5800))) % 1.61/1.82 (step @p6957 :rule symm :premises (@p6956)) % 1.61/1.82 (step @p6958 :rule refl :args (@t957)) % 1.61/1.82 (step @p6959 :rule eq_resolve :premises (@p6958 @p6957)) % 1.61/1.82 (step @p6960 :rule refl :args (@t632)) % 1.61/1.82 (step @p6961 :rule ho_cong :premises (@p6960 @p6220)) % 1.61/1.82 (step @p6962 :rule cong :premises (@p6961 @p6951) :args ((= (_ @t632 @t2605) @t5799))) % 1.61/1.82 (step @p6963 :rule symm :premises (@p6962)) % 1.61/1.82 (step @p6964 :rule refl :args (@t956)) % 1.61/1.82 (step @p6965 :rule eq_resolve :premises (@p6964 @p6963)) % 1.61/1.82 (step @p6966 :rule ho_cong :premises (@p6960 @p6233)) % 1.61/1.82 (step @p6967 :rule trans :premises (@p6966 @p6965)) % 1.61/1.82 (step @p6968 :rule ho_cong :premises (@p895 @p6967)) % 1.61/1.82 (step @p6969 :rule ho_cong :premises (@p6968 @p6237)) % 1.61/1.82 (step @p6970 :rule trans :premises (@p6969 @p6959)) % 1.61/1.82 (step @p6971 :rule nary_cong :premises (@p883 @p6970) :args (@t5803)) % 1.61/1.82 (step @p6972 :rule cong :premises (@p6971) :args ((forall @t9 @t5803))) % 1.61/1.82 (step @p6973 :rule bool-impl-elim :args (@t7 @t957)) % 1.61/1.82 (step @p6974 :rule cong :premises (@p6973) :args (@t958)) % 1.61/1.82 (step @p6975 :rule trans :premises (@p6974 @p6972)) % 1.61/1.82 (step @p6976 :rule cong :premises (@p6262 @p6975) :args (@t962)) % 1.61/1.82 (step @p6977 :rule cong :premises (@p6976) :args (@t963)) % 1.61/1.82 (step @p6978 :rule trans :premises (@p6977 @p6947)) % 1.61/1.82 (step @p6979 :rule refl :args (tptp.funcGraphProp3)) % 1.61/1.82 (step @p6980 :rule cong :premises (@p6979 @p6978) :args (@t964)) % 1.61/1.82 (step @p6981 :rule eq_resolve :premises (@p202 @p6980)) % 1.61/1.82 (step @p6982 :rule cong :premises (@p6981 @p6929) :args (@t5804)) % 1.61/1.82 (step @p6983 :rule aci_norm :args ((= @t5806 @t2706))) % 1.61/1.82 (step @p6984 :rule cong :premises (@p6983) :args (@t5807)) % 1.61/1.82 (step @p6985 :rule quant-merge-prenex :args ((= (forall @t891 @t5809) @t5807))) % 1.61/1.82 (step @p6986 :rule alpha_equiv :args (@t5810 (@list @t2703) @t3992)) % 1.61/1.82 (step @p6987 :rule nary_cong :premises (@p6512 @p6986) :args (@t5811)) % 1.61/1.82 (step @p6988 :rule quant-miniscope-or :args ((= @t5809 @t5811))) % 1.61/1.82 (step @p6989 :rule trans :premises (@p6988 @p6987)) % 1.61/1.82 (step @p6990 :rule symm :premises (@p6989)) % 1.61/1.82 (step @p6991 :rule cong :premises (@p6990) :args ((forall @t891 (or @t2625 @t5801)))) % 1.61/1.82 (step @p6992 :rule trans :premises (@p6991 @p6985)) % 1.61/1.82 (step @p6993 :rule trans :premises (@p6992 @p6984)) % 1.61/1.82 (step @p6994 :rule nary_cong :premises (@p6387 @p6941) :args (@t5812)) % 1.61/1.82 (step @p6995 :rule cong :premises (@p6994) :args ((forall @t891 @t5812))) % 1.61/1.82 (step @p6996 :rule trans :premises (@p6995 @p6993)) % 1.61/1.82 (step @p6997 :rule bool-impl-elim :args (@t889 @t5801)) % 1.61/1.82 (step @p6998 :rule cong :premises (@p6997) :args ((forall @t891 (=> @t889 @t5801)))) % 1.61/1.82 (step @p6999 :rule trans :premises (@p6998 @p6996)) % 1.61/1.82 (step @p7000 :rule cong :premises (@p6393 @p6975) :args (@t959)) % 1.61/1.82 (step @p7001 :rule cong :premises (@p7000) :args (@t960)) % 1.61/1.82 (step @p7002 :rule trans :premises (@p7001 @p6999)) % 1.61/1.82 (step @p7003 :rule refl :args (tptp.funcGraphProp1)) % 1.61/1.82 (step @p7004 :rule cong :premises (@p7003 @p7002) :args (@t961)) % 1.61/1.82 (step @p7005 :rule eq_resolve :premises (@p201 @p7004)) % 1.61/1.82 (step @p7006 :rule cong :premises (@p7005 @p6982) :args (@t5813)) % 1.61/1.82 (step @p7007 :rule aci_norm :args ((= @t5815 @t2718))) % 1.61/1.82 (step @p7008 :rule cong :premises (@p7007) :args (@t5816)) % 1.61/1.82 (step @p7009 :rule quant-merge-prenex :args ((= (forall @t311 @t5818) @t5816))) % 1.61/1.82 (step @p7010 :rule alpha_equiv :args (@t5819 (@list @t2710 @t2709) (@list @t4 @t2873))) % 1.61/1.82 (step @p7011 :rule refl :args (@t2717)) % 1.61/1.82 (step @p7012 :rule nary_cong :premises (@p7011 @p7010) :args (@t5820)) % 1.61/1.82 (step @p7013 :rule quant-miniscope-or :args ((= @t5818 @t5820))) % 1.61/1.82 (step @p7014 :rule trans :premises (@p7013 @p7012)) % 1.61/1.82 (step @p7015 :rule symm :premises (@p7014)) % 1.61/1.82 (step @p7016 :rule cong :premises (@p7015) :args ((forall @t311 (or @t2717 @t2881)))) % 1.61/1.82 (step @p7017 :rule trans :premises (@p7016 @p7009)) % 1.61/1.82 (step @p7018 :rule trans :premises (@p7017 @p7008)) % 1.61/1.82 (step @p7019 :rule refl :args (@t2881)) % 1.61/1.82 (step @p7020 :rule lambda-elim :args ((= @t5821 @t143))) % 1.61/1.82 (step @p7021 :rule cong :premises (@p1882 @p7020) :args (@t5822)) % 1.61/1.82 (step @p7022 :rule cong :premises (@p7021) :args (@t5823)) % 1.61/1.82 (step @p7023 :rule nary_cong :premises (@p7022 @p7019) :args (@t5824)) % 1.61/1.82 (step @p7024 :rule cong :premises (@p7023) :args ((forall @t311 @t5824))) % 1.61/1.82 (step @p7025 :rule trans :premises (@p7024 @p7018)) % 1.61/1.82 (step @p7026 :rule refl :args (@t2881)) % 1.61/1.82 (step @p7027 :rule refl :args ((tptp.ex1 @t2 @t145))) % 1.61/1.82 (step @p7028 :rule cong :premises (@p1811) :args (@t5821)) % 1.61/1.82 (step @p7029 :rule cong :premises (@p1066 @p7028) :args (@t5822)) % 1.61/1.82 (step @p7030 :rule trans :premises (@p7029 @p7027)) % 1.61/1.82 (step @p7031 :rule refl :args (@t724)) % 1.61/1.82 (step @p7032 :rule ho_cong :premises (@p7031 @p7028)) % 1.61/1.82 (step @p7033 :rule cong :premises (@p7032 @p7030) :args ((= (_ @t724 @t5821) @t5822))) % 1.61/1.82 (step @p7034 :rule symm :premises (@p7033)) % 1.61/1.82 (step @p7035 :rule refl :args (@t725)) % 1.61/1.82 (step @p7036 :rule eq_resolve :premises (@p7035 @p7034)) % 1.61/1.82 (step @p7037 :rule cong :premises (@p1815) :args (@t145)) % 1.61/1.82 (step @p7038 :rule ho_cong :premises (@p7031 @p7037)) % 1.61/1.82 (step @p7039 :rule trans :premises (@p7038 @p7036)) % 1.61/1.82 (step @p7040 :rule cong :premises (@p7039) :args (@t5825)) % 1.61/1.82 (step @p7041 :rule nary_cong :premises (@p7040 @p7026) :args (@t5826)) % 1.61/1.82 (step @p7042 :rule cong :premises (@p7041) :args ((forall @t311 @t5826))) % 1.61/1.82 (step @p7043 :rule trans :premises (@p7042 @p7025)) % 1.61/1.82 (step @p7044 :rule bool-impl-elim :args (@t725 @t2881)) % 1.61/1.82 (step @p7045 :rule cong :premises (@p7044) :args ((forall @t311 (=> @t725 @t2881)))) % 1.61/1.82 (step @p7046 :rule trans :premises (@p7045 @p7043)) % 1.61/1.82 (step @p7047 :rule aci_norm :args ((= @t5828 @t2879))) % 1.61/1.82 (step @p7048 :rule cong :premises (@p7047) :args (@t5829)) % 1.61/1.82 (step @p7049 :rule quant-merge-prenex :args ((= (forall @t9 @t5831) @t5829))) % 1.61/1.82 (step @p7050 :rule alpha_equiv :args (@t5832 (@list @t2873) @t3627)) % 1.61/1.82 (step @p7051 :rule refl :args (@t2878)) % 1.61/1.82 (step @p7052 :rule nary_cong :premises (@p869 @p7051 @p7050) :args (@t5833)) % 1.61/1.82 (step @p7053 :rule quant-miniscope-or :args ((= @t5831 @t5833))) % 1.61/1.82 (step @p7054 :rule trans :premises (@p7053 @p7052)) % 1.61/1.82 (step @p7055 :rule symm :premises (@p7054)) % 1.61/1.82 (step @p7056 :rule cong :premises (@p7055) :args ((forall @t9 (or @t2125 @t2878 @t2890)))) % 1.61/1.82 (step @p7057 :rule trans :premises (@p7056 @p7049)) % 1.61/1.82 (step @p7058 :rule trans :premises (@p7057 @p7048)) % 1.61/1.82 (step @p7059 :rule refl :args (@t2890)) % 1.61/1.82 (step @p7060 :rule cong :premises (@p1815) :args (@t317)) % 1.61/1.82 (step @p7061 :rule nary_cong :premises (@p883 @p7060 @p7059) :args (@t5834)) % 1.61/1.82 (step @p7062 :rule cong :premises (@p7061) :args ((forall @t9 @t5834))) % 1.61/1.82 (step @p7063 :rule trans :premises (@p7062 @p7058)) % 1.61/1.82 (step @p7064 :rule aci_norm :args ((= (or @t197 @t5835) @t5834))) % 1.61/1.82 (step @p7065 :rule bool-impl-elim :args (@t7 @t5835)) % 1.61/1.82 (step @p7066 :rule trans :premises (@p7065 @p7064)) % 1.61/1.82 (step @p7067 :rule cong :premises (@p7066) :args ((forall @t9 (=> @t7 @t5835)))) % 1.61/1.82 (step @p7068 :rule trans :premises (@p7067 @p7063)) % 1.61/1.82 (step @p7069 :rule refl :args (@t129)) % 1.61/1.82 (step @p7070 :rule refl :args (@t2886)) % 1.61/1.82 (step @p7071 :rule refl :args (@t153)) % 1.61/1.82 (step @p7072 :rule cong :premises (@p7071 @p7070) :args ((= @t153 @t2886))) % 1.61/1.82 (step @p7073 :rule symm :premises (@p7072)) % 1.61/1.82 (step @p7074 :rule eq_resolve :premises (@p7071 @p7073)) % 1.61/1.82 (step @p7075 :rule cong :premises (@p7074) :args (@t5836)) % 1.61/1.82 (step @p7076 :rule nary_cong :premises (@p930 @p7075 @p7069) :args (@t5837)) % 1.61/1.82 (step @p7077 :rule cong :premises (@p7076) :args (@t5838)) % 1.61/1.82 (step @p7078 :rule refl :args (@t317)) % 1.61/1.82 (step @p7079 :rule nary_cong :premises (@p7078 @p7077) :args (@t5839)) % 1.61/1.82 (step @p7080 :rule quant-miniscope-or :args ((= (forall @t70 @t5840) @t5839))) % 1.61/1.82 (step @p7081 :rule aci_norm :args ((= @t5841 @t5840))) % 1.61/1.82 (step @p7082 :rule cong :premises (@p7081) :args ((forall @t70 @t5841))) % 1.61/1.82 (step @p7083 :rule trans :premises (@p7082 @p7080)) % 1.61/1.82 (step @p7084 :rule trans :premises (@p7083 @p7079)) % 1.61/1.82 (step @p7085 :rule aci_norm :args ((= (or @t3636 @t5842) @t5841))) % 1.61/1.82 (step @p7086 :rule aci_norm :args ((= (or @t317 @t5843) @t5842))) % 1.61/1.82 (step @p7087 :rule bool-impl-elim :args (@t153 @t129)) % 1.61/1.82 (step @p7088 :rule refl :args (@t317)) % 1.61/1.82 (step @p7089 :rule nary_cong :premises (@p7088 @p7087) :args ((or @t317 @t166))) % 1.61/1.82 (step @p7090 :rule trans :premises (@p7089 @p7086)) % 1.61/1.82 (step @p7091 :rule bool-impl-elim :args (@t144 @t166)) % 1.61/1.82 (step @p7092 :rule trans :premises (@p7091 @p7090)) % 1.61/1.82 (step @p7093 :rule nary_cong :premises (@p935 @p7092) :args ((or @t3636 @t345))) % 1.61/1.82 (step @p7094 :rule trans :premises (@p7093 @p7085)) % 1.61/1.82 (step @p7095 :rule bool-impl-elim :args (@t21 @t345)) % 1.61/1.82 (step @p7096 :rule trans :premises (@p7095 @p7094)) % 1.61/1.82 (step @p7097 :rule cong :premises (@p7096) :args (@t718)) % 1.61/1.82 (step @p7098 :rule trans :premises (@p7097 @p7084)) % 1.61/1.82 (step @p7099 :rule cong :premises (@p942 @p7098) :args (@t719)) % 1.61/1.82 (step @p7100 :rule cong :premises (@p7099) :args (@t720)) % 1.61/1.82 (step @p7101 :rule trans :premises (@p7100 @p7068)) % 1.61/1.82 (step @p7102 :rule refl :args (@t725)) % 1.61/1.82 (step @p7103 :rule cong :premises (@p7102 @p7101) :args (@t953)) % 1.61/1.82 (step @p7104 :rule cong :premises (@p7103) :args (@t954)) % 1.61/1.82 (step @p7105 :rule trans :premises (@p7104 @p7046)) % 1.61/1.82 (step @p7106 :rule refl :args (tptp.ex1E2)) % 1.61/1.82 (step @p7107 :rule cong :premises (@p7106 @p7105) :args (@t955)) % 1.61/1.82 (step @p7108 :rule eq_resolve :premises (@p200 @p7107)) % 1.61/1.82 (step @p7109 :rule cong :premises (@p7108 @p7006) :args (@t5844)) % 1.61/1.82 (step @p7110 :rule eq-symm :args (@t2733 tptp.brelnall2)) % 1.61/1.82 (step @p7111 :rule refl :args (tptp.brelnall2)) % 1.61/1.82 (step @p7112 :rule aci_norm :args ((= @t5846 @t2731))) % 1.61/1.82 (step @p7113 :rule cong :premises (@p7112) :args (@t5847)) % 1.61/1.82 (step @p7114 :rule quant-merge-prenex :args ((= (forall @t950 @t5849) @t5847))) % 1.61/1.82 (step @p7115 :rule alpha_equiv :args (@t5850 (@list @t2722 @t2721) (@list @t143 @t5851))) % 1.61/1.82 (step @p7116 :rule nary_cong :premises (@p6558 @p7115) :args (@t5852)) % 1.61/1.82 (step @p7117 :rule quant-miniscope-or :args ((= @t5849 @t5852))) % 1.61/1.82 (step @p7118 :rule trans :premises (@p7117 @p7116)) % 1.61/1.82 (step @p7119 :rule symm :premises (@p7118)) % 1.61/1.82 (step @p7120 :rule cong :premises (@p7119) :args ((forall @t950 (or @t2657 @t5861)))) % 1.61/1.82 (step @p7121 :rule trans :premises (@p7120 @p7114)) % 1.61/1.82 (step @p7122 :rule trans :premises (@p7121 @p7113)) % 1.61/1.82 (step @p7123 :rule refl :args (@t5861)) % 1.61/1.82 (step @p7124 :rule nary_cong :premises (@p6572 @p7123) :args (@t5862)) % 1.61/1.82 (step @p7125 :rule cong :premises (@p7124) :args ((forall @t950 @t5862))) % 1.61/1.82 (step @p7126 :rule trans :premises (@p7125 @p7122)) % 1.61/1.82 (step @p7127 :rule bool-impl-elim :args (@t948 @t5861)) % 1.61/1.82 (step @p7128 :rule cong :premises (@p7127) :args ((forall @t950 (=> @t948 @t5861)))) % 1.61/1.82 (step @p7129 :rule trans :premises (@p7128 @p7126)) % 1.61/1.82 (step @p7130 :rule aci_norm :args ((= @t5864 @t5859))) % 1.61/1.82 (step @p7131 :rule cong :premises (@p7130) :args (@t5865)) % 1.61/1.82 (step @p7132 :rule quant-merge-prenex :args ((= (forall @t150 @t5867) @t5865))) % 1.61/1.82 (step @p7133 :rule alpha_equiv :args (@t5868 (@list @t5851) @t3992)) % 1.61/1.82 (step @p7134 :rule refl :args (@t5858)) % 1.61/1.82 (step @p7135 :rule nary_cong :premises (@p7134 @p7133) :args (@t5869)) % 1.61/1.82 (step @p7136 :rule quant-miniscope-or :args ((= @t5867 @t5869))) % 1.61/1.82 (step @p7137 :rule trans :premises (@p7136 @p7135)) % 1.61/1.82 (step @p7138 :rule symm :premises (@p7137)) % 1.61/1.82 (step @p7139 :rule cong :premises (@p7138) :args ((forall @t150 (or @t5858 @t3995)))) % 1.61/1.82 (step @p7140 :rule trans :premises (@p7139 @p7132)) % 1.61/1.82 (step @p7141 :rule trans :premises (@p7140 @p7131)) % 1.61/1.82 (step @p7142 :rule bool-impl-elim :args (@t5857 @t3995)) % 1.61/1.82 (step @p7143 :rule cong :premises (@p7142) :args ((forall @t150 (=> @t5857 @t3995)))) % 1.61/1.82 (step @p7144 :rule trans :premises (@p7143 @p7141)) % 1.61/1.82 (step @p7145 :rule aci_norm :args ((= @t5871 @t5856))) % 1.61/1.82 (step @p7146 :rule cong :premises (@p7145) :args (@t5872)) % 1.61/1.82 (step @p7147 :rule quant-merge-prenex :args ((= (forall @t9 @t5874) @t5872))) % 1.61/1.82 (step @p7148 :rule alpha_equiv :args (@t5875 (@list @t2725) @t3627)) % 1.61/1.82 (step @p7149 :rule nary_cong :premises (@p869 @p7148) :args (@t5876)) % 1.61/1.82 (step @p7150 :rule quant-miniscope-or :args ((= @t5874 @t5876))) % 1.61/1.82 (step @p7151 :rule trans :premises (@p7150 @p7149)) % 1.61/1.82 (step @p7152 :rule symm :premises (@p7151)) % 1.61/1.82 (step @p7153 :rule cong :premises (@p7152) :args ((forall @t9 (or @t2125 @t5877)))) % 1.61/1.82 (step @p7154 :rule trans :premises (@p7153 @p7147)) % 1.61/1.82 (step @p7155 :rule trans :premises (@p7154 @p7146)) % 1.61/1.82 (step @p7156 :rule refl :args (@t5877)) % 1.61/1.82 (step @p7157 :rule nary_cong :premises (@p883 @p7156) :args (@t5878)) % 1.61/1.82 (step @p7158 :rule cong :premises (@p7157) :args ((forall @t9 @t5878))) % 1.61/1.82 (step @p7159 :rule trans :premises (@p7158 @p7155)) % 1.61/1.82 (step @p7160 :rule bool-impl-elim :args (@t7 @t5877)) % 1.61/1.82 (step @p7161 :rule cong :premises (@p7160) :args ((forall @t9 (=> @t7 @t5877)))) % 1.61/1.82 (step @p7162 :rule trans :premises (@p7161 @p7159)) % 1.61/1.82 (step @p7163 :rule nary_cong :premises (@p2089 @p1023 @p1855) :args (@t5879)) % 1.61/1.82 (step @p7164 :rule cong :premises (@p7163) :args ((forall @t70 @t5879))) % 1.61/1.82 (step @p7165 :rule aci_norm :args ((= (or @t4065 @t4009) @t5879))) % 1.61/1.82 (step @p7166 :rule nary_cong :premises (@p6624 @p1859) :args ((or @t4065 @t942))) % 1.61/1.82 (step @p7167 :rule trans :premises (@p7166 @p7165)) % 1.61/1.82 (step @p7168 :rule bool-impl-elim :args (@t354 @t942)) % 1.61/1.82 (step @p7169 :rule trans :premises (@p7168 @p7167)) % 1.61/1.82 (step @p7170 :rule cong :premises (@p7169) :args (@t943)) % 1.61/1.82 (step @p7171 :rule trans :premises (@p7170 @p7164)) % 1.61/1.82 (step @p7172 :rule cong :premises (@p942 @p7171) :args (@t944)) % 1.61/1.82 (step @p7173 :rule cong :premises (@p7172) :args (@t945)) % 1.61/1.82 (step @p7174 :rule trans :premises (@p7173 @p7162)) % 1.61/1.82 (step @p7175 :rule cong :premises (@p7174 @p1826) :args (@t946)) % 1.61/1.82 (step @p7176 :rule cong :premises (@p7175) :args (@t947)) % 1.61/1.82 (step @p7177 :rule trans :premises (@p7176 @p7144)) % 1.61/1.82 (step @p7178 :rule cong :premises (@p6670 @p7177) :args (@t949)) % 1.61/1.82 (step @p7179 :rule cong :premises (@p7178) :args (@t951)) % 1.61/1.82 (step @p7180 :rule trans :premises (@p7179 @p7129)) % 1.61/1.82 (step @p7181 :rule cong :premises (@p7180 @p7111) :args ((= @t951 tptp.brelnall2))) % 1.61/1.82 (step @p7182 :rule trans :premises (@p7181 @p7110)) % 1.61/1.82 (step @p7183 :rule eq-symm :args (tptp.brelnall2 @t951)) % 1.61/1.82 (step @p7184 :rule trans :premises (@p7183 @p7182)) % 1.61/1.82 (step @p7185 :rule eq_resolve :premises (@p199 @p7184)) % 1.61/1.82 (step @p7186 :rule cong :premises (@p7185 @p7109) :args (@t5880)) % 1.61/1.82 (step @p7187 :rule refl :args (tptp.brelnall1)) % 1.61/1.82 (step @p7188 :rule cong :premises (@p7187 @p7180) :args (@t952)) % 1.61/1.82 (step @p7189 :rule eq_resolve :premises (@p198 @p7188)) % 1.61/1.82 (step @p7190 :rule cong :premises (@p7189 @p7186) :args (@t5881)) % 1.61/1.82 (step @p7191 :rule refl :args (@t2609)) % 1.61/1.82 (step @p7192 :rule lambda-elim :args ((= @t5882 @t917))) % 1.61/1.82 (step @p7193 :rule cong :premises (@p1882 @p6288 @p7192) :args (@t5883)) % 1.61/1.82 (step @p7194 :rule cong :premises (@p7193 @p7191) :args (@t5884)) % 1.61/1.82 (step @p7195 :rule refl :args (@t2619)) % 1.61/1.82 (step @p7196 :rule nary_cong :premises (@p7195 @p7194) :args (@t5885)) % 1.61/1.82 (step @p7197 :rule cong :premises (@p7196) :args ((forall @t923 @t5885))) % 1.61/1.82 (step @p7198 :rule refl :args ((tptp.in @t928 @t907))) % 1.61/1.82 (step @p7199 :rule refl :args ((tptp.lam @t2 @t1 @t926))) % 1.61/1.82 (step @p7200 :rule cong :premises (@p6325) :args (@t5882)) % 1.61/1.82 (step @p7201 :rule cong :premises (@p1066 @p1998 @p7200) :args (@t5883)) % 1.61/1.82 (step @p7202 :rule trans :premises (@p7201 @p7199)) % 1.61/1.82 (step @p7203 :rule cong :premises (@p7202 @p6240) :args (@t5884)) % 1.61/1.82 (step @p7204 :rule trans :premises (@p7203 @p7198)) % 1.61/1.82 (step @p7205 :rule ho_cong :premises (@p895 @p7202)) % 1.61/1.82 (step @p7206 :rule ho_cong :premises (@p7205 @p6240)) % 1.61/1.82 (step @p7207 :rule cong :premises (@p7206 @p7204) :args ((= (_ (_ tptp.in @t5883) @t2609) @t5884))) % 1.61/1.82 (step @p7208 :rule symm :premises (@p7207)) % 1.61/1.82 (step @p7209 :rule refl :args (@t933)) % 1.61/1.82 (step @p7210 :rule eq_resolve :premises (@p7209 @p7208)) % 1.61/1.82 (step @p7211 :rule ho_cong :premises (@p6224 @p7200)) % 1.61/1.82 (step @p7212 :rule cong :premises (@p7211 @p7202) :args ((= (_ @t927 @t5882) @t5883))) % 1.61/1.82 (step @p7213 :rule symm :premises (@p7212)) % 1.61/1.82 (step @p7214 :rule refl :args (@t928)) % 1.61/1.82 (step @p7215 :rule eq_resolve :premises (@p7214 @p7213)) % 1.61/1.82 (step @p7216 :rule cong :premises (@p6329) :args (@t926)) % 1.61/1.82 (step @p7217 :rule ho_cong :premises (@p6224 @p7216)) % 1.61/1.82 (step @p7218 :rule trans :premises (@p7217 @p7215)) % 1.61/1.82 (step @p7219 :rule ho_cong :premises (@p895 @p7218)) % 1.61/1.82 (step @p7220 :rule ho_cong :premises (@p7219 @p6252)) % 1.61/1.82 (step @p7221 :rule trans :premises (@p7220 @p7210)) % 1.61/1.82 (step @p7222 :rule nary_cong :premises (@p6276 @p7221) :args (@t5886)) % 1.61/1.82 (step @p7223 :rule cong :premises (@p7222) :args ((forall @t923 @t5886))) % 1.61/1.82 (step @p7224 :rule trans :premises (@p7223 @p7197)) % 1.61/1.82 (step @p7225 :rule bool-impl-elim :args (@t2618 @t933)) % 1.61/1.82 (step @p7226 :rule cong :premises (@p7225) :args ((forall @t923 (=> @t2618 @t933)))) % 1.61/1.82 (step @p7227 :rule trans :premises (@p7226 @p7224)) % 1.61/1.82 (step @p7228 :rule refl :args (@t933)) % 1.61/1.82 (step @p7229 :rule cong :premises (@p6357 @p7228) :args (@t934)) % 1.61/1.82 (step @p7230 :rule cong :premises (@p7229) :args (@t935)) % 1.61/1.82 (step @p7231 :rule trans :premises (@p7230 @p7227)) % 1.61/1.82 (step @p7232 :rule refl :args (tptp.lam2p)) % 1.61/1.82 (step @p7233 :rule cong :premises (@p7232 @p7231) :args (@t936)) % 1.61/1.82 (step @p7234 :rule eq_resolve :premises (@p197 @p7233)) % 1.61/1.82 (step @p7235 :rule cong :premises (@p7234 @p7190) :args (@t5887)) % 1.61/1.82 (step @p7236 :rule cong :premises (@p1882 @p6288 @p7193) :args (@t5888)) % 1.61/1.82 (step @p7237 :rule nary_cong :premises (@p7195 @p7236) :args (@t5889)) % 1.61/1.82 (step @p7238 :rule cong :premises (@p7237) :args ((forall @t923 @t5889))) % 1.61/1.82 (step @p7239 :rule refl :args ((tptp.func @t2 @t1 @t928))) % 1.61/1.82 (step @p7240 :rule cong :premises (@p1066 @p1998 @p7202) :args (@t5888)) % 1.61/1.82 (step @p7241 :rule trans :premises (@p7240 @p7239)) % 1.61/1.82 (step @p7242 :rule refl :args (@t888)) % 1.61/1.82 (step @p7243 :rule ho_cong :premises (@p7242 @p7202)) % 1.61/1.82 (step @p7244 :rule cong :premises (@p7243 @p7241) :args ((= (_ @t888 @t5883) @t5888))) % 1.61/1.82 (step @p7245 :rule symm :premises (@p7244)) % 1.61/1.82 (step @p7246 :rule refl :args (@t929)) % 1.61/1.82 (step @p7247 :rule eq_resolve :premises (@p7246 @p7245)) % 1.61/1.82 (step @p7248 :rule ho_cong :premises (@p7242 @p7218)) % 1.61/1.82 (step @p7249 :rule trans :premises (@p7248 @p7247)) % 1.61/1.82 (step @p7250 :rule nary_cong :premises (@p6276 @p7249) :args (@t5890)) % 1.61/1.82 (step @p7251 :rule cong :premises (@p7250) :args ((forall @t923 @t5890))) % 1.61/1.82 (step @p7252 :rule trans :premises (@p7251 @p7238)) % 1.61/1.82 (step @p7253 :rule bool-impl-elim :args (@t2618 @t929)) % 1.61/1.82 (step @p7254 :rule cong :premises (@p7253) :args ((forall @t923 (=> @t2618 @t929)))) % 1.61/1.82 (step @p7255 :rule trans :premises (@p7254 @p7252)) % 1.61/1.82 (step @p7256 :rule refl :args (@t929)) % 1.61/1.82 (step @p7257 :rule cong :premises (@p6357 @p7256) :args (@t930)) % 1.61/1.82 (step @p7258 :rule cong :premises (@p7257) :args (@t931)) % 1.61/1.82 (step @p7259 :rule trans :premises (@p7258 @p7255)) % 1.61/1.82 (step @p7260 :rule refl :args (tptp.lamp)) % 1.61/1.82 (step @p7261 :rule cong :premises (@p7260 @p7259) :args (@t932)) % 1.61/1.82 (step @p7262 :rule eq_resolve :premises (@p196 @p7261)) % 1.61/1.82 (step @p7263 :rule cong :premises (@p7262 @p7235) :args (@t5891)) % 1.61/1.82 (step @p7264 :rule refl :args ((tptp.func @t2 @t1 @t5894))) % 1.61/1.82 (step @p7265 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t5893))) % 1.61/1.82 (step @p7266 :rule cong :premises (@p5560 @p6325) :args (@t2736)) % 1.61/1.82 (step @p7267 :rule cong :premises (@p7266) :args (@t2737)) % 1.61/1.82 (step @p7268 :rule cong :premises (@p1066 @p1998 @p7267) :args (@t2738)) % 1.61/1.82 (step @p7269 :rule trans :premises (@p7268 @p7265)) % 1.61/1.82 (step @p7270 :rule cong :premises (@p1066 @p1998 @p7269) :args (@t2739)) % 1.61/1.82 (step @p7271 :rule trans :premises (@p7270 @p7264)) % 1.61/1.82 (step @p7272 :rule ho_cong :premises (@p7242 @p7269)) % 1.61/1.82 (step @p7273 :rule cong :premises (@p7272 @p7271) :args ((= (_ @t888 @t2738) @t2739))) % 1.61/1.82 (step @p7274 :rule symm :premises (@p7273)) % 1.61/1.82 (step @p7275 :rule refl :args (@t5895)) % 1.61/1.82 (step @p7276 :rule eq_resolve :premises (@p7275 @p7274)) % 1.61/1.82 (step @p7277 :rule refl :args (@t851)) % 1.61/1.82 (step @p7278 :rule ho_cong :premises (@p7277 @p7267)) % 1.61/1.82 (step @p7279 :rule cong :premises (@p7278 @p7269) :args ((= (_ @t851 @t2737) @t2738))) % 1.61/1.82 (step @p7280 :rule symm :premises (@p7279)) % 1.61/1.82 (step @p7281 :rule refl :args (@t5894)) % 1.61/1.82 (step @p7282 :rule eq_resolve :premises (@p7281 @p7280)) % 1.61/1.82 (step @p7283 :rule cong :premises (@p5560 @p6329) :args (@t5892)) % 1.61/1.82 (step @p7284 :rule cong :premises (@p7283) :args (@t5893)) % 1.61/1.82 (step @p7285 :rule ho_cong :premises (@p7277 @p7284)) % 1.61/1.82 (step @p7286 :rule trans :premises (@p7285 @p7282)) % 1.61/1.82 (step @p7287 :rule ho_cong :premises (@p7242 @p7286)) % 1.61/1.82 (step @p7288 :rule trans :premises (@p7287 @p7276)) % 1.61/1.82 (step @p7289 :rule nary_cong :premises (@p6276 @p7288) :args (@t5896)) % 1.61/1.82 (step @p7290 :rule cong :premises (@p7289) :args ((forall @t923 @t5896))) % 1.61/1.82 (step @p7291 :rule bool-impl-elim :args (@t2618 @t5895)) % 1.61/1.82 (step @p7292 :rule cong :premises (@p7291) :args ((forall @t923 (=> @t2618 @t5895)))) % 1.61/1.82 (step @p7293 :rule trans :premises (@p7292 @p7290)) % 1.61/1.82 (step @p7294 :rule eq-symm :args (@t918 @t19)) % 1.61/1.82 (step @p7295 :rule cong :premises (@p7294) :args (@t919)) % 1.61/1.82 (step @p7296 :rule refl :args (@t851)) % 1.61/1.82 (step @p7297 :rule ho_cong :premises (@p7296 @p7295)) % 1.61/1.82 (step @p7298 :rule refl :args (@t888)) % 1.61/1.82 (step @p7299 :rule ho_cong :premises (@p7298 @p7297)) % 1.61/1.82 (step @p7300 :rule cong :premises (@p6357 @p7299) :args (@t922)) % 1.61/1.82 (step @p7301 :rule cong :premises (@p7300) :args (@t924)) % 1.61/1.82 (step @p7302 :rule trans :premises (@p7301 @p7293)) % 1.61/1.82 (step @p7303 :rule refl :args (tptp.lamProp)) % 1.61/1.82 (step @p7304 :rule cong :premises (@p7303 @p7302) :args (@t925)) % 1.61/1.82 (step @p7305 :rule eq_resolve :premises (@p195 @p7304)) % 1.61/1.82 (step @p7306 :rule cong :premises (@p7305 @p7263) :args (@t5897)) % 1.61/1.82 (step @p7307 :rule nary_cong :premises (@p6387 @p6254) :args (@t5898)) % 1.61/1.82 (step @p7308 :rule cong :premises (@p7307) :args ((forall @t891 @t5898))) % 1.61/1.82 (step @p7309 :rule bool-impl-elim :args (@t889 @t909)) % 1.61/1.82 (step @p7310 :rule cong :premises (@p7309) :args (@t915)) % 1.61/1.82 (step @p7311 :rule trans :premises (@p7310 @p7308)) % 1.61/1.82 (step @p7312 :rule refl :args (tptp.funcinfuncset)) % 1.61/1.82 (step @p7313 :rule cong :premises (@p7312 @p7311) :args (@t916)) % 1.61/1.82 (step @p7314 :rule eq_resolve :premises (@p194 @p7313)) % 1.61/1.82 (step @p7315 :rule cong :premises (@p7314 @p7306) :args (@t5899)) % 1.61/1.82 (step @p7316 :rule aci_norm :args ((= @t5901 @t2745))) % 1.61/1.82 (step @p7317 :rule cong :premises (@p7316) :args (@t5902)) % 1.61/1.82 (step @p7318 :rule quant-merge-prenex :args ((= (forall @t891 @t5904) @t5902))) % 1.61/1.82 (step @p7319 :rule alpha_equiv :args (@t5905 (@list @t2742) @t3992)) % 1.61/1.82 (step @p7320 :rule nary_cong :premises (@p6443 @p7319) :args (@t5906)) % 1.61/1.82 (step @p7321 :rule quant-miniscope-or :args ((= @t5904 @t5906))) % 1.61/1.82 (step @p7322 :rule trans :premises (@p7321 @p7320)) % 1.61/1.82 (step @p7323 :rule symm :premises (@p7322)) % 1.61/1.82 (step @p7324 :rule cong :premises (@p7323) :args ((forall @t891 (or @t2611 @t5908)))) % 1.61/1.82 (step @p7325 :rule trans :premises (@p7324 @p7318)) % 1.61/1.82 (step @p7326 :rule trans :premises (@p7325 @p7317)) % 1.61/1.82 (step @p7327 :rule refl :args (@t5908)) % 1.61/1.82 (step @p7328 :rule nary_cong :premises (@p6255 @p7327) :args (@t5909)) % 1.61/1.82 (step @p7329 :rule cong :premises (@p7328) :args ((forall @t891 @t5909))) % 1.61/1.82 (step @p7330 :rule trans :premises (@p7329 @p7326)) % 1.61/1.82 (step @p7331 :rule bool-impl-elim :args (@t909 @t5908)) % 1.61/1.82 (step @p7332 :rule cong :premises (@p7331) :args ((forall @t891 (=> @t909 @t5908)))) % 1.61/1.82 (step @p7333 :rule trans :premises (@p7332 @p7330)) % 1.61/1.82 (step @p7334 :rule refl :args ((tptp.in @t901 @t1))) % 1.61/1.82 (step @p7335 :rule cong :premises (@p6220 @p1998) :args (@t5907)) % 1.61/1.82 (step @p7336 :rule trans :premises (@p7335 @p7334)) % 1.61/1.82 (step @p7337 :rule ho_cong :premises (@p895 @p6220)) % 1.61/1.82 (step @p7338 :rule ho_cong :premises (@p7337 @p1998)) % 1.61/1.82 (step @p7339 :rule cong :premises (@p7338 @p7336) :args ((= (_ (_ tptp.in @t2605) @t1) @t5907))) % 1.61/1.82 (step @p7340 :rule symm :premises (@p7339)) % 1.61/1.82 (step @p7341 :rule refl :args (@t902)) % 1.61/1.82 (step @p7342 :rule eq_resolve :premises (@p7341 @p7340)) % 1.61/1.82 (step @p7343 :rule ho_cong :premises (@p895 @p6233)) % 1.61/1.82 (step @p7344 :rule ho_cong :premises (@p7343 @p1998)) % 1.61/1.82 (step @p7345 :rule trans :premises (@p7344 @p7342)) % 1.61/1.82 (step @p7346 :rule nary_cong :premises (@p883 @p7345) :args (@t5910)) % 1.61/1.82 (step @p7347 :rule cong :premises (@p7346) :args ((forall @t9 @t5910))) % 1.61/1.82 (step @p7348 :rule bool-impl-elim :args (@t7 @t902)) % 1.61/1.82 (step @p7349 :rule cong :premises (@p7348) :args (@t903)) % 1.61/1.82 (step @p7350 :rule trans :premises (@p7349 @p7347)) % 1.61/1.82 (step @p7351 :rule cong :premises (@p6262 @p7350) :args (@t912)) % 1.61/1.82 (step @p7352 :rule cong :premises (@p7351) :args (@t913)) % 1.61/1.82 (step @p7353 :rule trans :premises (@p7352 @p7333)) % 1.61/1.82 (step @p7354 :rule refl :args (tptp.ap2p)) % 1.61/1.82 (step @p7355 :rule cong :premises (@p7354 @p7353) :args (@t914)) % 1.61/1.82 (step @p7356 :rule eq_resolve :premises (@p193 @p7355)) % 1.61/1.82 (step @p7357 :rule cong :premises (@p7356 @p7315) :args (@t5911)) % 1.61/1.82 (step @p7358 :rule nary_cong :premises (@p6255 @p6386) :args (@t5912)) % 1.61/1.82 (step @p7359 :rule cong :premises (@p7358) :args ((forall @t891 @t5912))) % 1.61/1.82 (step @p7360 :rule bool-impl-elim :args (@t909 @t889)) % 1.61/1.82 (step @p7361 :rule cong :premises (@p7360) :args (@t910)) % 1.61/1.82 (step @p7362 :rule trans :premises (@p7361 @p7359)) % 1.61/1.82 (step @p7363 :rule refl :args (tptp.infuncsetfunc)) % 1.61/1.82 (step @p7364 :rule cong :premises (@p7363 @p7362) :args (@t911)) % 1.61/1.82 (step @p7365 :rule eq_resolve :premises (@p192 @p7364)) % 1.61/1.82 (step @p7366 :rule cong :premises (@p7365 @p7357) :args (@t5913)) % 1.61/1.82 (step @p7367 :rule aci_norm :args ((= @t5915 @t2752))) % 1.61/1.82 (step @p7368 :rule cong :premises (@p7367) :args (@t5916)) % 1.61/1.82 (step @p7369 :rule quant-merge-prenex :args ((= (forall @t891 @t5918) @t5916))) % 1.61/1.82 (step @p7370 :rule alpha_equiv :args (@t5919 (@list @t2749) @t3992)) % 1.61/1.82 (step @p7371 :rule nary_cong :premises (@p6512 @p7370) :args (@t5920)) % 1.61/1.82 (step @p7372 :rule quant-miniscope-or :args ((= @t5918 @t5920))) % 1.61/1.82 (step @p7373 :rule trans :premises (@p7372 @p7371)) % 1.61/1.82 (step @p7374 :rule symm :premises (@p7373)) % 1.61/1.82 (step @p7375 :rule cong :premises (@p7374) :args ((forall @t891 (or @t2625 @t5908)))) % 1.61/1.82 (step @p7376 :rule trans :premises (@p7375 @p7369)) % 1.61/1.82 (step @p7377 :rule trans :premises (@p7376 @p7368)) % 1.61/1.82 (step @p7378 :rule nary_cong :premises (@p6387 @p7327) :args (@t5921)) % 1.61/1.82 (step @p7379 :rule cong :premises (@p7378) :args ((forall @t891 @t5921))) % 1.61/1.82 (step @p7380 :rule trans :premises (@p7379 @p7377)) % 1.61/1.82 (step @p7381 :rule bool-impl-elim :args (@t889 @t5908)) % 1.61/1.82 (step @p7382 :rule cong :premises (@p7381) :args ((forall @t891 (=> @t889 @t5908)))) % 1.61/1.82 (step @p7383 :rule trans :premises (@p7382 @p7380)) % 1.61/1.82 (step @p7384 :rule cong :premises (@p6393 @p7350) :args (@t904)) % 1.61/1.82 (step @p7385 :rule cong :premises (@p7384) :args (@t905)) % 1.61/1.82 (step @p7386 :rule trans :premises (@p7385 @p7383)) % 1.61/1.82 (step @p7387 :rule refl :args (tptp.app)) % 1.61/1.82 (step @p7388 :rule cong :premises (@p7387 @p7386) :args (@t906)) % 1.61/1.82 (step @p7389 :rule eq_resolve :premises (@p191 @p7388)) % 1.61/1.82 (step @p7390 :rule cong :premises (@p7389 @p7366) :args (@t5922)) % 1.61/1.82 (step @p7391 :rule aci_norm :args ((= @t5924 @t2758))) % 1.61/1.82 (step @p7392 :rule cong :premises (@p7391) :args (@t5925)) % 1.61/1.82 (step @p7393 :rule quant-merge-prenex :args ((= (forall @t891 @t5927) @t5925))) % 1.61/1.82 (step @p7394 :rule alpha_equiv :args (@t5928 (@list @t2755) @t3992)) % 1.61/1.82 (step @p7395 :rule nary_cong :premises (@p6512 @p7394) :args (@t5929)) % 1.61/1.82 (step @p7396 :rule quant-miniscope-or :args ((= @t5927 @t5929))) % 1.61/1.82 (step @p7397 :rule trans :premises (@p7396 @p7395)) % 1.61/1.82 (step @p7398 :rule symm :premises (@p7397)) % 1.61/1.82 (step @p7399 :rule cong :premises (@p7398) :args ((forall @t891 (or @t2625 @t5934)))) % 1.61/1.82 (step @p7400 :rule trans :premises (@p7399 @p7393)) % 1.61/1.82 (step @p7401 :rule trans :premises (@p7400 @p7392)) % 1.61/1.82 (step @p7402 :rule refl :args (@t5934)) % 1.61/1.82 (step @p7403 :rule nary_cong :premises (@p6387 @p7402) :args (@t5935)) % 1.61/1.82 (step @p7404 :rule cong :premises (@p7403) :args ((forall @t891 @t5935))) % 1.61/1.82 (step @p7405 :rule trans :premises (@p7404 @p7401)) % 1.61/1.82 (step @p7406 :rule bool-impl-elim :args (@t889 @t5934)) % 1.61/1.82 (step @p7407 :rule cong :premises (@p7406) :args ((forall @t891 (=> @t889 @t5934)))) % 1.61/1.82 (step @p7408 :rule trans :premises (@p7407 @p7405)) % 1.61/1.82 (step @p7409 :rule refl :args ((tptp.in @t894 @t1))) % 1.61/1.82 (step @p7410 :rule refl :args ((tptp.setunion @t885))) % 1.61/1.82 (step @p7411 :rule refl :args ((tptp.dsetconstr @t1 @t884))) % 1.61/1.82 (step @p7412 :rule cong :premises (@p6768) :args (@t5930)) % 1.61/1.82 (step @p7413 :rule cong :premises (@p1998 @p7412) :args (@t5931)) % 1.61/1.82 (step @p7414 :rule trans :premises (@p7413 @p7411)) % 1.61/1.82 (step @p7415 :rule cong :premises (@p7414) :args (@t5932)) % 1.61/1.82 (step @p7416 :rule trans :premises (@p7415 @p7410)) % 1.61/1.82 (step @p7417 :rule cong :premises (@p7416 @p1998) :args (@t5933)) % 1.61/1.82 (step @p7418 :rule trans :premises (@p7417 @p7409)) % 1.61/1.82 (step @p7419 :rule ho_cong :premises (@p895 @p7416)) % 1.61/1.82 (step @p7420 :rule ho_cong :premises (@p7419 @p1998)) % 1.61/1.82 (step @p7421 :rule cong :premises (@p7420 @p7418) :args ((= (_ (_ tptp.in @t5932) @t1) @t5933))) % 1.61/1.82 (step @p7422 :rule symm :premises (@p7421)) % 1.61/1.82 (step @p7423 :rule refl :args (@t895)) % 1.61/1.82 (step @p7424 :rule eq_resolve :premises (@p7423 @p7422)) % 1.61/1.82 (step @p7425 :rule refl :args (tptp.setunion)) % 1.61/1.82 (step @p7426 :rule ho_cong :premises (@p7425 @p7414)) % 1.61/1.82 (step @p7427 :rule cong :premises (@p7426 @p7416) :args ((= (_ tptp.setunion @t5931) @t5932))) % 1.61/1.82 (step @p7428 :rule symm :premises (@p7427)) % 1.61/1.82 (step @p7429 :rule refl :args (@t894)) % 1.61/1.82 (step @p7430 :rule eq_resolve :premises (@p7429 @p7428)) % 1.61/1.82 (step @p7431 :rule ho_cong :premises (@p2009 @p7412)) % 1.61/1.82 (step @p7432 :rule cong :premises (@p7431 @p7414) :args ((= (_ @t410 @t5930) @t5931))) % 1.61/1.82 (step @p7433 :rule symm :premises (@p7432)) % 1.61/1.82 (step @p7434 :rule refl :args (@t885)) % 1.61/1.82 (step @p7435 :rule eq_resolve :premises (@p7434 @p7433)) % 1.61/1.82 (step @p7436 :rule cong :premises (@p6775) :args (@t884)) % 1.61/1.82 (step @p7437 :rule ho_cong :premises (@p2009 @p7436)) % 1.61/1.82 (step @p7438 :rule trans :premises (@p7437 @p7435)) % 1.61/1.82 (step @p7439 :rule ho_cong :premises (@p7425 @p7438)) % 1.61/1.82 (step @p7440 :rule trans :premises (@p7439 @p7430)) % 1.61/1.82 (step @p7441 :rule ho_cong :premises (@p895 @p7440)) % 1.61/1.82 (step @p7442 :rule ho_cong :premises (@p7441 @p1998)) % 1.61/1.82 (step @p7443 :rule trans :premises (@p7442 @p7424)) % 1.61/1.82 (step @p7444 :rule nary_cong :premises (@p883 @p7443) :args (@t5936)) % 1.61/1.82 (step @p7445 :rule cong :premises (@p7444) :args ((forall @t9 @t5936))) % 1.61/1.82 (step @p7446 :rule bool-impl-elim :args (@t7 @t895)) % 1.61/1.82 (step @p7447 :rule cong :premises (@p7446) :args (@t896)) % 1.61/1.82 (step @p7448 :rule trans :premises (@p7447 @p7445)) % 1.61/1.82 (step @p7449 :rule cong :premises (@p6393 @p7448) :args (@t897)) % 1.61/1.82 (step @p7450 :rule cong :premises (@p7449) :args (@t898)) % 1.61/1.82 (step @p7451 :rule trans :premises (@p7450 @p7408)) % 1.61/1.82 (step @p7452 :rule refl :args (tptp.apProp)) % 1.61/1.82 (step @p7453 :rule cong :premises (@p7452 @p7451) :args (@t899)) % 1.61/1.82 (step @p7454 :rule eq_resolve :premises (@p190 @p7453)) % 1.61/1.82 (step @p7455 :rule cong :premises (@p7454 @p7390) :args (@t5937)) % 1.61/1.82 (step @p7456 :rule aci_norm :args ((= @t5939 @t2764))) % 1.61/1.82 (step @p7457 :rule cong :premises (@p7456) :args (@t5940)) % 1.61/1.82 (step @p7458 :rule quant-merge-prenex :args ((= (forall @t891 @t5942) @t5940))) % 1.61/1.82 (step @p7459 :rule alpha_equiv :args (@t5943 (@list @t2761) @t3992)) % 1.61/1.82 (step @p7460 :rule nary_cong :premises (@p6512 @p7459) :args (@t5944)) % 1.61/1.82 (step @p7461 :rule quant-miniscope-or :args ((= @t5942 @t5944))) % 1.61/1.82 (step @p7462 :rule trans :premises (@p7461 @p7460)) % 1.61/1.82 (step @p7463 :rule symm :premises (@p7462)) % 1.61/1.82 (step @p7464 :rule cong :premises (@p7463) :args ((forall @t891 (or @t2625 @t5946)))) % 1.61/1.82 (step @p7465 :rule trans :premises (@p7464 @p7458)) % 1.61/1.82 (step @p7466 :rule trans :premises (@p7465 @p7457)) % 1.61/1.82 (step @p7467 :rule refl :args (@t5946)) % 1.61/1.82 (step @p7468 :rule nary_cong :premises (@p6387 @p7467) :args (@t5947)) % 1.61/1.82 (step @p7469 :rule cong :premises (@p7468) :args ((forall @t891 @t5947))) % 1.61/1.82 (step @p7470 :rule trans :premises (@p7469 @p7466)) % 1.61/1.82 (step @p7471 :rule bool-impl-elim :args (@t889 @t5946)) % 1.61/1.82 (step @p7472 :rule cong :premises (@p7471) :args ((forall @t891 (=> @t889 @t5946)))) % 1.61/1.82 (step @p7473 :rule trans :premises (@p7472 @p7470)) % 1.61/1.82 (step @p7474 :rule refl :args ((tptp.singleton @t885))) % 1.61/1.82 (step @p7475 :rule cong :premises (@p7414) :args (@t5945)) % 1.61/1.82 (step @p7476 :rule trans :premises (@p7475 @p7474)) % 1.61/1.82 (step @p7477 :rule ho_cong :premises (@p2003 @p7414)) % 1.61/1.82 (step @p7478 :rule cong :premises (@p7477 @p7476) :args ((= (_ tptp.singleton @t5931) @t5945))) % 1.61/1.82 (step @p7479 :rule symm :premises (@p7478)) % 1.61/1.82 (step @p7480 :rule refl :args (@t886)) % 1.61/1.82 (step @p7481 :rule eq_resolve :premises (@p7480 @p7479)) % 1.61/1.82 (step @p7482 :rule ho_cong :premises (@p2003 @p7438)) % 1.61/1.82 (step @p7483 :rule trans :premises (@p7482 @p7481)) % 1.61/1.82 (step @p7484 :rule nary_cong :premises (@p883 @p7483) :args (@t5948)) % 1.61/1.82 (step @p7485 :rule cong :premises (@p7484) :args ((forall @t9 @t5948))) % 1.61/1.82 (step @p7486 :rule bool-impl-elim :args (@t7 @t886)) % 1.61/1.82 (step @p7487 :rule cong :premises (@p7486) :args (@t887)) % 1.61/1.82 (step @p7488 :rule trans :premises (@p7487 @p7485)) % 1.61/1.82 (step @p7489 :rule cong :premises (@p6393 @p7488) :args (@t890)) % 1.61/1.82 (step @p7490 :rule cong :premises (@p7489) :args (@t892)) % 1.61/1.82 (step @p7491 :rule trans :premises (@p7490 @p7473)) % 1.61/1.82 (step @p7492 :rule refl :args (tptp.funcImageSingleton)) % 1.61/1.82 (step @p7493 :rule cong :premises (@p7492 @p7491) :args (@t893)) % 1.61/1.82 (step @p7494 :rule eq_resolve :premises (@p189 @p7493)) % 1.61/1.82 (step @p7495 :rule cong :premises (@p7494 @p7455) :args (@t5949)) % 1.61/1.82 (step @p7496 :rule refl :args (@t2166)) % 1.61/1.82 (step @p7497 :rule lambda-elim :args ((= @t5951 @t67))) % 1.61/1.82 (step @p7498 :rule cong :premises (@p1882 @p6288 @p7497) :args (@t5952)) % 1.61/1.82 (step @p7499 :rule refl :args (@t2768)) % 1.61/1.82 (step @p7500 :rule cong :premises (@p7499 @p7498) :args (@t5953)) % 1.61/1.82 (step @p7501 :rule cong :premises (@p7500) :args (@t5954)) % 1.61/1.82 (step @p7502 :rule nary_cong :premises (@p7501 @p7496) :args (@t5955)) % 1.61/1.82 (step @p7503 :rule cong :premises (@p7502) :args ((forall @t875 @t5955))) % 1.61/1.82 (step @p7504 :rule refl :args ((tptp.in @t633 @t852))) % 1.61/1.82 (step @p7505 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t849))) % 1.61/1.82 (step @p7506 :rule refl :args (@t5950)) % 1.61/1.82 (step @p7507 :rule cong :premises (@p7506) :args (@t5951)) % 1.61/1.82 (step @p7508 :rule cong :premises (@p1066 @p1998 @p7507) :args (@t5952)) % 1.61/1.82 (step @p7509 :rule trans :premises (@p7508 @p7505)) % 1.61/1.82 (step @p7510 :rule cong :premises (@p892 @p7509) :args (@t5953)) % 1.61/1.82 (step @p7511 :rule trans :premises (@p7510 @p7504)) % 1.61/1.82 (step @p7512 :rule ho_cong :premises (@p896 @p7509)) % 1.61/1.82 (step @p7513 :rule cong :premises (@p7512 @p7511) :args ((= (_ @t3634 @t5952) @t5953))) % 1.61/1.82 (step @p7514 :rule symm :premises (@p7513)) % 1.61/1.82 (step @p7515 :rule refl :args (@t853)) % 1.61/1.82 (step @p7516 :rule eq_resolve :premises (@p7515 @p7514)) % 1.61/1.82 (step @p7517 :rule ho_cong :premises (@p7277 @p7507)) % 1.61/1.82 (step @p7518 :rule cong :premises (@p7517 @p7509) :args ((= (_ @t851 @t5951) @t5952))) % 1.61/1.82 (step @p7519 :rule symm :premises (@p7518)) % 1.61/1.82 (step @p7520 :rule refl :args (@t852)) % 1.61/1.82 (step @p7521 :rule eq_resolve :premises (@p7520 @p7519)) % 1.61/1.82 (step @p7522 :rule refl :args (@t848)) % 1.61/1.82 (step @p7523 :rule cong :premises (@p7522 @p7506) :args ((= @t848 @t5950))) % 1.61/1.82 (step @p7524 :rule symm :premises (@p7523)) % 1.61/1.82 (step @p7525 :rule eq_resolve :premises (@p7522 @p7524)) % 1.61/1.82 (step @p7526 :rule cong :premises (@p7525) :args (@t849)) % 1.61/1.82 (step @p7527 :rule ho_cong :premises (@p7277 @p7526)) % 1.61/1.82 (step @p7528 :rule trans :premises (@p7527 @p7521)) % 1.61/1.82 (step @p7529 :rule ho_cong :premises (@p910 @p7528)) % 1.61/1.82 (step @p7530 :rule trans :premises (@p7529 @p7516)) % 1.61/1.82 (step @p7531 :rule cong :premises (@p7530) :args (@t5956)) % 1.61/1.82 (step @p7532 :rule nary_cong :premises (@p7531 @p1908) :args (@t5957)) % 1.61/1.82 (step @p7533 :rule cong :premises (@p7532) :args ((forall @t875 @t5957))) % 1.61/1.82 (step @p7534 :rule trans :premises (@p7533 @p7503)) % 1.61/1.82 (step @p7535 :rule bool-impl-elim :args (@t853 @t76)) % 1.61/1.82 (step @p7536 :rule cong :premises (@p7535) :args (@t880)) % 1.61/1.82 (step @p7537 :rule trans :premises (@p7536 @p7534)) % 1.61/1.82 (step @p7538 :rule refl :args (tptp.dpsetconstrER)) % 1.61/1.82 (step @p7539 :rule cong :premises (@p7538 @p7537) :args (@t881)) % 1.61/1.82 (step @p7540 :rule eq_resolve :premises (@p188 @p7539)) % 1.61/1.82 (step @p7541 :rule cong :premises (@p7540 @p7495) :args (@t5958)) % 1.61/1.82 (step @p7542 :rule refl :args (@t2168)) % 1.61/1.82 (step @p7543 :rule nary_cong :premises (@p7501 @p7542) :args (@t5959)) % 1.61/1.82 (step @p7544 :rule cong :premises (@p7543) :args ((forall @t875 @t5959))) % 1.61/1.82 (step @p7545 :rule nary_cong :premises (@p7531 @p2088) :args (@t5960)) % 1.61/1.82 (step @p7546 :rule cong :premises (@p7545) :args ((forall @t875 @t5960))) % 1.61/1.82 (step @p7547 :rule trans :premises (@p7546 @p7544)) % 1.61/1.82 (step @p7548 :rule bool-impl-elim :args (@t853 @t354)) % 1.61/1.82 (step @p7549 :rule cong :premises (@p7548) :args (@t878)) % 1.61/1.82 (step @p7550 :rule trans :premises (@p7549 @p7547)) % 1.61/1.82 (step @p7551 :rule refl :args (tptp.dpsetconstrEL2)) % 1.61/1.82 (step @p7552 :rule cong :premises (@p7551 @p7550) :args (@t879)) % 1.61/1.82 (step @p7553 :rule eq_resolve :premises (@p187 @p7552)) % 1.61/1.82 (step @p7554 :rule cong :premises (@p7553 @p7541) :args (@t5961)) % 1.61/1.82 (step @p7555 :rule refl :args (@t2124)) % 1.61/1.82 (step @p7556 :rule nary_cong :premises (@p7501 @p7555) :args (@t5962)) % 1.61/1.82 (step @p7557 :rule cong :premises (@p7556) :args ((forall @t875 @t5962))) % 1.61/1.82 (step @p7558 :rule nary_cong :premises (@p7531 @p882) :args (@t5963)) % 1.61/1.82 (step @p7559 :rule cong :premises (@p7558) :args ((forall @t875 @t5963))) % 1.61/1.82 (step @p7560 :rule trans :premises (@p7559 @p7557)) % 1.61/1.82 (step @p7561 :rule bool-impl-elim :args (@t853 @t7)) % 1.61/1.82 (step @p7562 :rule cong :premises (@p7561) :args (@t876)) % 1.61/1.82 (step @p7563 :rule trans :premises (@p7562 @p7560)) % 1.61/1.82 (step @p7564 :rule refl :args (tptp.dpsetconstrEL1)) % 1.61/1.82 (step @p7565 :rule cong :premises (@p7564 @p7563) :args (@t877)) % 1.61/1.82 (step @p7566 :rule eq_resolve :premises (@p186 @p7565)) % 1.61/1.82 (step @p7567 :rule cong :premises (@p7566 @p7554) :args (@t5964)) % 1.61/1.82 (step @p7568 :rule aci_norm :args ((= @t5966 @t2778))) % 1.61/1.82 (step @p7569 :rule cong :premises (@p7568) :args (@t5967)) % 1.61/1.82 (step @p7570 :rule quant-merge-prenex :args ((= (forall @t857 @t5969) @t5967))) % 1.61/1.82 (step @p7571 :rule alpha_equiv :args (@t5970 (@list @t2774) @t3627)) % 1.61/1.82 (step @p7572 :rule nary_cong :premises (@p869 @p7571) :args (@t5971)) % 1.61/1.82 (step @p7573 :rule quant-miniscope-or :args ((= @t5969 @t5971))) % 1.61/1.82 (step @p7574 :rule trans :premises (@p7573 @p7572)) % 1.61/1.82 (step @p7575 :rule symm :premises (@p7574)) % 1.61/1.82 (step @p7576 :rule cong :premises (@p7575) :args ((forall @t857 (or @t2125 @t5972)))) % 1.61/1.82 (step @p7577 :rule trans :premises (@p7576 @p7570)) % 1.61/1.82 (step @p7578 :rule trans :premises (@p7577 @p7569)) % 1.61/1.82 (step @p7579 :rule refl :args (@t5972)) % 1.61/1.82 (step @p7580 :rule nary_cong :premises (@p883 @p7579) :args (@t5973)) % 1.61/1.82 (step @p7581 :rule cong :premises (@p7580) :args ((forall @t857 @t5973))) % 1.61/1.82 (step @p7582 :rule trans :premises (@p7581 @p7578)) % 1.61/1.82 (step @p7583 :rule bool-impl-elim :args (@t7 @t5972)) % 1.61/1.82 (step @p7584 :rule cong :premises (@p7583) :args ((forall @t857 (=> @t7 @t5972)))) % 1.61/1.82 (step @p7585 :rule trans :premises (@p7584 @p7582)) % 1.61/1.82 (step @p7586 :rule refl :args (@t2169)) % 1.61/1.82 (step @p7587 :rule nary_cong :premises (@p7586 @p7501 @p7496) :args (@t5974)) % 1.61/1.82 (step @p7588 :rule cong :premises (@p7587) :args ((forall @t70 @t5974))) % 1.61/1.82 (step @p7589 :rule nary_cong :premises (@p2089 @p7531 @p1908) :args (@t5975)) % 1.61/1.82 (step @p7590 :rule cong :premises (@p7589) :args ((forall @t70 @t5975))) % 1.61/1.82 (step @p7591 :rule trans :premises (@p7590 @p7588)) % 1.61/1.82 (step @p7592 :rule aci_norm :args ((= (or @t4065 @t5957) @t5975))) % 1.61/1.82 (step @p7593 :rule nary_cong :premises (@p6624 @p7535) :args ((or @t4065 @t870))) % 1.61/1.82 (step @p7594 :rule trans :premises (@p7593 @p7592)) % 1.61/1.82 (step @p7595 :rule bool-impl-elim :args (@t354 @t870)) % 1.61/1.82 (step @p7596 :rule trans :premises (@p7595 @p7594)) % 1.61/1.82 (step @p7597 :rule cong :premises (@p7596) :args (@t871)) % 1.61/1.82 (step @p7598 :rule trans :premises (@p7597 @p7591)) % 1.61/1.82 (step @p7599 :rule cong :premises (@p942 @p7598) :args (@t872)) % 1.61/1.82 (step @p7600 :rule cong :premises (@p7599) :args (@t873)) % 1.61/1.82 (step @p7601 :rule trans :premises (@p7600 @p7585)) % 1.61/1.82 (step @p7602 :rule refl :args (tptp.dpsetconstrERa)) % 1.61/1.82 (step @p7603 :rule cong :premises (@p7602 @p7601) :args (@t874)) % 1.61/1.82 (step @p7604 :rule eq_resolve :premises (@p185 @p7603)) % 1.61/1.82 (step @p7605 :rule cong :premises (@p7604 @p7567) :args (@t5976)) % 1.61/1.82 (step @p7606 :rule cong :premises (@p1882 @p6288 @p1881) :args (@t5977)) % 1.61/1.82 (step @p7607 :rule cong :premises (@p1882 @p6288 @p7606) :args (@t5978)) % 1.61/1.82 (step @p7608 :rule cong :premises (@p7607) :args ((forall @t863 @t5978))) % 1.61/1.82 (step @p7609 :rule refl :args ((tptp.breln @t2 @t1 @t861))) % 1.61/1.82 (step @p7610 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t860))) % 1.61/1.82 (step @p7611 :rule cong :premises (@p1066 @p1998 @p1889) :args (@t5977)) % 1.61/1.82 (step @p7612 :rule trans :premises (@p7611 @p7610)) % 1.61/1.82 (step @p7613 :rule cong :premises (@p1066 @p1998 @p7612) :args (@t5978)) % 1.61/1.82 (step @p7614 :rule trans :premises (@p7613 @p7609)) % 1.61/1.82 (step @p7615 :rule refl :args (@t866)) % 1.61/1.82 (step @p7616 :rule ho_cong :premises (@p7615 @p7612)) % 1.61/1.82 (step @p7617 :rule cong :premises (@p7616 @p7614) :args ((= (_ @t866 @t5977) @t5978))) % 1.61/1.82 (step @p7618 :rule symm :premises (@p7617)) % 1.61/1.82 (step @p7619 :rule refl :args (@t867)) % 1.61/1.82 (step @p7620 :rule eq_resolve :premises (@p7619 @p7618)) % 1.61/1.82 (step @p7621 :rule ho_cong :premises (@p7277 @p1889)) % 1.61/1.82 (step @p7622 :rule cong :premises (@p7621 @p7612) :args ((= (_ @t851 @t4011) @t5977))) % 1.61/1.82 (step @p7623 :rule symm :premises (@p7622)) % 1.61/1.82 (step @p7624 :rule refl :args (@t861)) % 1.61/1.82 (step @p7625 :rule eq_resolve :premises (@p7624 @p7623)) % 1.61/1.82 (step @p7626 :rule ho_cong :premises (@p7277 @p1909)) % 1.61/1.82 (step @p7627 :rule trans :premises (@p7626 @p7625)) % 1.61/1.82 (step @p7628 :rule ho_cong :premises (@p7615 @p7627)) % 1.61/1.82 (step @p7629 :rule trans :premises (@p7628 @p7620)) % 1.61/1.82 (step @p7630 :rule cong :premises (@p7629) :args (@t868)) % 1.61/1.82 (step @p7631 :rule trans :premises (@p7630 @p7608)) % 1.61/1.82 (step @p7632 :rule refl :args (tptp.setOfPairsIsBReln)) % 1.61/1.82 (step @p7633 :rule cong :premises (@p7632 @p7631) :args (@t869)) % 1.61/1.82 (step @p7634 :rule eq_resolve :premises (@p184 @p7633)) % 1.61/1.82 (step @p7635 :rule cong :premises (@p7634 @p7605) :args (@t5979)) % 1.61/1.82 (step @p7636 :rule refl :args (@t2782)) % 1.61/1.82 (step @p7637 :rule cong :premises (@p7606 @p7636) :args (@t5980)) % 1.61/1.82 (step @p7638 :rule cong :premises (@p7637) :args ((forall @t863 @t5980))) % 1.61/1.82 (step @p7639 :rule refl :args ((tptp.subset @t861 @t675))) % 1.61/1.82 (step @p7640 :rule refl :args (@t2782)) % 1.61/1.82 (step @p7641 :rule cong :premises (@p7612 @p7640) :args (@t5980)) % 1.61/1.82 (step @p7642 :rule trans :premises (@p7641 @p7639)) % 1.61/1.82 (step @p7643 :rule ho_cong :premises (@p2731 @p7612)) % 1.61/1.82 (step @p7644 :rule ho_cong :premises (@p7643 @p7640)) % 1.61/1.82 (step @p7645 :rule cong :premises (@p7644 @p7642) :args ((= (_ (_ tptp.subset @t5977) @t2782) @t5980))) % 1.61/1.82 (step @p7646 :rule symm :premises (@p7645)) % 1.61/1.82 (step @p7647 :rule refl :args (@t862)) % 1.61/1.82 (step @p7648 :rule eq_resolve :premises (@p7647 @p7646)) % 1.61/1.82 (step @p7649 :rule refl :args (@t675)) % 1.61/1.82 (step @p7650 :rule cong :premises (@p7649 @p7640) :args ((= @t675 @t2782))) % 1.61/1.82 (step @p7651 :rule symm :premises (@p7650)) % 1.61/1.82 (step @p7652 :rule eq_resolve :premises (@p7649 @p7651)) % 1.61/1.82 (step @p7653 :rule ho_cong :premises (@p2731 @p7627)) % 1.61/1.82 (step @p7654 :rule ho_cong :premises (@p7653 @p7652)) % 1.61/1.82 (step @p7655 :rule trans :premises (@p7654 @p7648)) % 1.61/1.82 (step @p7656 :rule cong :premises (@p7655) :args (@t864)) % 1.61/1.82 (step @p7657 :rule trans :premises (@p7656 @p7638)) % 1.61/1.82 (step @p7658 :rule refl :args (tptp.dpsetconstrSub)) % 1.61/1.82 (step @p7659 :rule cong :premises (@p7658 @p7657) :args (@t865)) % 1.61/1.82 (step @p7660 :rule eq_resolve :premises (@p183 @p7659)) % 1.61/1.82 (step @p7661 :rule cong :premises (@p7660 @p7635) :args (@t5981)) % 1.61/1.82 (step @p7662 :rule aci_norm :args ((= @t5983 @t2788))) % 1.61/1.82 (step @p7663 :rule cong :premises (@p7662) :args (@t5984)) % 1.61/1.82 (step @p7664 :rule quant-merge-prenex :args ((= (forall @t857 @t5986) @t5984))) % 1.61/1.82 (step @p7665 :rule alpha_equiv :args (@t5987 (@list @t2784) @t3627)) % 1.61/1.82 (step @p7666 :rule nary_cong :premises (@p869 @p7665) :args (@t5988)) % 1.61/1.82 (step @p7667 :rule quant-miniscope-or :args ((= @t5986 @t5988))) % 1.61/1.82 (step @p7668 :rule trans :premises (@p7667 @p7666)) % 1.61/1.82 (step @p7669 :rule symm :premises (@p7668)) % 1.61/1.82 (step @p7670 :rule cong :premises (@p7669) :args ((forall @t857 (or @t2125 @t5989)))) % 1.61/1.82 (step @p7671 :rule trans :premises (@p7670 @p7664)) % 1.61/1.82 (step @p7672 :rule trans :premises (@p7671 @p7663)) % 1.61/1.82 (step @p7673 :rule refl :args (@t5989)) % 1.61/1.82 (step @p7674 :rule nary_cong :premises (@p883 @p7673) :args (@t5990)) % 1.61/1.82 (step @p7675 :rule cong :premises (@p7674) :args ((forall @t857 @t5990))) % 1.61/1.82 (step @p7676 :rule trans :premises (@p7675 @p7672)) % 1.61/1.82 (step @p7677 :rule bool-impl-elim :args (@t7 @t5989)) % 1.61/1.82 (step @p7678 :rule cong :premises (@p7677) :args ((forall @t857 (=> @t7 @t5989)))) % 1.61/1.82 (step @p7679 :rule trans :premises (@p7678 @p7676)) % 1.61/1.82 (step @p7680 :rule refl :args (@t2167)) % 1.61/1.82 (step @p7681 :rule nary_cong :premises (@p7586 @p7680 @p7500) :args (@t5991)) % 1.61/1.82 (step @p7682 :rule cong :premises (@p7681) :args ((forall @t70 @t5991))) % 1.61/1.82 (step @p7683 :rule nary_cong :premises (@p2089 @p2083 @p7530) :args (@t5992)) % 1.61/1.82 (step @p7684 :rule cong :premises (@p7683) :args ((forall @t70 @t5992))) % 1.61/1.82 (step @p7685 :rule trans :premises (@p7684 @p7682)) % 1.61/1.82 (step @p7686 :rule aci_norm :args ((= (or @t4065 (or @t4064 @t853)) @t5992))) % 1.61/1.82 (step @p7687 :rule bool-impl-elim :args (@t76 @t853)) % 1.61/1.82 (step @p7688 :rule nary_cong :premises (@p6624 @p7687) :args ((or @t4065 @t854))) % 1.61/1.82 (step @p7689 :rule trans :premises (@p7688 @p7686)) % 1.61/1.82 (step @p7690 :rule bool-impl-elim :args (@t354 @t854)) % 1.61/1.82 (step @p7691 :rule trans :premises (@p7690 @p7689)) % 1.61/1.82 (step @p7692 :rule cong :premises (@p7691) :args (@t855)) % 1.61/1.82 (step @p7693 :rule trans :premises (@p7692 @p7685)) % 1.61/1.82 (step @p7694 :rule cong :premises (@p942 @p7693) :args (@t856)) % 1.61/1.82 (step @p7695 :rule cong :premises (@p7694) :args (@t858)) % 1.61/1.82 (step @p7696 :rule trans :premises (@p7695 @p7679)) % 1.61/1.82 (step @p7697 :rule refl :args (tptp.dpsetconstrI)) % 1.61/1.82 (step @p7698 :rule cong :premises (@p7697 @p7696) :args (@t859)) % 1.61/1.82 (step @p7699 :rule eq_resolve :premises (@p182 @p7698)) % 1.61/1.82 (step @p7700 :rule cong :premises (@p7699 @p7661) :args (@t5993)) % 1.61/1.82 (step @p7701 :rule refl :args ((tptp.kpair @t769 @t816))) % 1.61/1.82 (step @p7702 :rule refl :args (@t2791)) % 1.61/1.82 (step @p7703 :rule refl :args (@t2792)) % 1.61/1.82 (step @p7704 :rule cong :premises (@p7703 @p7702) :args (@t2793)) % 1.61/1.82 (step @p7705 :rule trans :premises (@p7704 @p7701)) % 1.61/1.82 (step @p7706 :rule refl :args (tptp.kpair)) % 1.61/1.82 (step @p7707 :rule ho_cong :premises (@p7706 @p7703)) % 1.61/1.82 (step @p7708 :rule ho_cong :premises (@p7707 @p7702)) % 1.61/1.82 (step @p7709 :rule cong :premises (@p7708 @p7705) :args ((= (_ @t5994 @t2791) @t2793))) % 1.61/1.82 (step @p7710 :rule symm :premises (@p7709)) % 1.61/1.82 (step @p7711 :rule refl :args (@t817)) % 1.61/1.82 (step @p7712 :rule eq_resolve :premises (@p7711 @p7710)) % 1.61/1.82 (step @p7713 :rule refl :args (@t816)) % 1.61/1.82 (step @p7714 :rule cong :premises (@p7713 @p7702) :args ((= @t816 @t2791))) % 1.61/1.82 (step @p7715 :rule symm :premises (@p7714)) % 1.61/1.82 (step @p7716 :rule eq_resolve :premises (@p7713 @p7715)) % 1.61/1.82 (step @p7717 :rule refl :args (@t769)) % 1.61/1.82 (step @p7718 :rule cong :premises (@p7717 @p7703) :args ((= @t769 @t2792))) % 1.61/1.82 (step @p7719 :rule symm :premises (@p7718)) % 1.61/1.82 (step @p7720 :rule eq_resolve :premises (@p7717 @p7719)) % 1.61/1.82 (step @p7721 :rule ho_cong :premises (@p7706 @p7720)) % 1.61/1.82 (step @p7722 :rule ho_cong :premises (@p7721 @p7716)) % 1.61/1.82 (step @p7723 :rule trans :premises (@p7722 @p7712)) % 1.61/1.82 (step @p7724 :rule refl :args (@t383)) % 1.61/1.82 (step @p7725 :rule cong :premises (@p7724 @p7723) :args (@t5995)) % 1.61/1.82 (step @p7726 :rule refl :args ((tptp.in @t383 @t675))) % 1.61/1.82 (step @p7727 :rule cong :premises (@p7724 @p7640) :args (@t2795)) % 1.61/1.82 (step @p7728 :rule trans :premises (@p7727 @p7726)) % 1.61/1.82 (step @p7729 :rule refl :args (@t686)) % 1.61/1.82 (step @p7730 :rule ho_cong :premises (@p7729 @p7640)) % 1.61/1.82 (step @p7731 :rule cong :premises (@p7730 @p7728) :args ((= (_ @t686 @t2782) @t2795))) % 1.61/1.82 (step @p7732 :rule symm :premises (@p7731)) % 1.61/1.82 (step @p7733 :rule refl :args (@t687)) % 1.61/1.82 (step @p7734 :rule eq_resolve :premises (@p7733 @p7732)) % 1.61/1.82 (step @p7735 :rule ho_cong :premises (@p7729 @p7652)) % 1.61/1.82 (step @p7736 :rule trans :premises (@p7735 @p7734)) % 1.61/1.82 (step @p7737 :rule cong :premises (@p7736) :args (@t5996)) % 1.61/1.82 (step @p7738 :rule nary_cong :premises (@p7737 @p7725) :args (@t5997)) % 1.61/1.82 (step @p7739 :rule cong :premises (@p7738) :args ((forall @t689 @t5997))) % 1.61/1.82 (step @p7740 :rule bool-impl-elim :args (@t687 @t5995)) % 1.61/1.82 (step @p7741 :rule cong :premises (@p7740) :args ((forall @t689 (=> @t687 @t5995)))) % 1.61/1.82 (step @p7742 :rule trans :premises (@p7741 @p7739)) % 1.61/1.82 (step @p7743 :rule eq-symm :args (@t817 @t383)) % 1.61/1.82 (step @p7744 :rule refl :args (@t687)) % 1.61/1.82 (step @p7745 :rule cong :premises (@p7744 @p7743) :args (@t845)) % 1.61/1.82 (step @p7746 :rule cong :premises (@p7745) :args (@t846)) % 1.61/1.82 (step @p7747 :rule trans :premises (@p7746 @p7742)) % 1.61/1.82 (step @p7748 :rule refl :args (tptp.cartprodpairsurjEq)) % 1.61/1.82 (step @p7749 :rule cong :premises (@p7748 @p7747) :args (@t847)) % 1.61/1.82 (step @p7750 :rule eq_resolve :premises (@p181 @p7749)) % 1.61/1.82 (step @p7751 :rule cong :premises (@p7750 @p7700) :args (@t5998)) % 1.61/1.82 (step @p7752 :rule aci_norm :args ((= @t6000 @t2801))) % 1.61/1.82 (step @p7753 :rule cong :premises (@p7752) :args (@t6001)) % 1.61/1.82 (step @p7754 :rule quant-merge-prenex :args ((= (forall @t245 @t6003) @t6001))) % 1.61/1.82 (step @p7755 :rule alpha_equiv :args (@t6004 (@list @t2798) @t3627)) % 1.61/1.82 (step @p7756 :rule nary_cong :premises (@p869 @p7755) :args (@t6005)) % 1.61/1.82 (step @p7757 :rule quant-miniscope-or :args ((= @t6003 @t6005))) % 1.61/1.82 (step @p7758 :rule trans :premises (@p7757 @p7756)) % 1.61/1.82 (step @p7759 :rule symm :premises (@p7758)) % 1.61/1.82 (step @p7760 :rule cong :premises (@p7759) :args ((forall @t245 (or @t2125 @t6006)))) % 1.61/1.82 (step @p7761 :rule trans :premises (@p7760 @p7754)) % 1.61/1.82 (step @p7762 :rule trans :premises (@p7761 @p7753)) % 1.61/1.82 (step @p7763 :rule refl :args (@t6006)) % 1.61/1.82 (step @p7764 :rule nary_cong :premises (@p883 @p7763) :args (@t6007)) % 1.61/1.82 (step @p7765 :rule cong :premises (@p7764) :args ((forall @t245 @t6007))) % 1.61/1.82 (step @p7766 :rule trans :premises (@p7765 @p7762)) % 1.61/1.82 (step @p7767 :rule bool-impl-elim :args (@t7 @t6006)) % 1.61/1.82 (step @p7768 :rule cong :premises (@p7767) :args ((forall @t245 (=> @t7 @t6006)))) % 1.61/1.82 (step @p7769 :rule trans :premises (@p7768 @p7766)) % 1.61/1.82 (step @p7770 :rule refl :args ((tptp.ksnd @t633))) % 1.61/1.82 (step @p7771 :rule cong :premises (@p892) :args (@t2819)) % 1.61/1.82 (step @p7772 :rule trans :premises (@p7771 @p7770)) % 1.61/1.82 (step @p7773 :rule refl :args (tptp.ksnd)) % 1.61/1.82 (step @p7774 :rule ho_cong :premises (@p7773 @p892)) % 1.61/1.82 (step @p7775 :rule cong :premises (@p7774 @p7772) :args ((= (_ tptp.ksnd @t2768) @t2819))) % 1.61/1.82 (step @p7776 :rule symm :premises (@p7775)) % 1.61/1.82 (step @p7777 :rule refl :args (@t812)) % 1.61/1.82 (step @p7778 :rule eq_resolve :premises (@p7777 @p7776)) % 1.61/1.82 (step @p7779 :rule ho_cong :premises (@p7773 @p909)) % 1.61/1.82 (step @p7780 :rule trans :premises (@p7779 @p7778)) % 1.61/1.82 (step @p7781 :rule cong :premises (@p5560 @p7780) :args (@t6008)) % 1.61/1.82 (step @p7782 :rule nary_cong :premises (@p2089 @p7781) :args (@t6009)) % 1.61/1.82 (step @p7783 :rule cong :premises (@p7782) :args ((forall @t70 @t6009))) % 1.61/1.82 (step @p7784 :rule bool-impl-elim :args (@t354 @t6008)) % 1.61/1.82 (step @p7785 :rule cong :premises (@p7784) :args ((forall @t70 (=> @t354 @t6008)))) % 1.61/1.82 (step @p7786 :rule trans :premises (@p7785 @p7783)) % 1.61/1.82 (step @p7787 :rule eq-symm :args (@t812 @t19)) % 1.61/1.82 (step @p7788 :rule cong :premises (@p6790 @p7787) :args (@t840)) % 1.61/1.82 (step @p7789 :rule cong :premises (@p7788) :args (@t841)) % 1.61/1.82 (step @p7790 :rule trans :premises (@p7789 @p7786)) % 1.61/1.82 (step @p7791 :rule cong :premises (@p942 @p7790) :args (@t842)) % 1.61/1.82 (step @p7792 :rule cong :premises (@p7791) :args (@t843)) % 1.61/1.82 (step @p7793 :rule trans :premises (@p7792 @p7769)) % 1.61/1.82 (step @p7794 :rule refl :args (tptp.cartprodsndpairEq)) % 1.61/1.82 (step @p7795 :rule cong :premises (@p7794 @p7793) :args (@t844)) % 1.61/1.82 (step @p7796 :rule eq_resolve :premises (@p180 @p7795)) % 1.61/1.82 (step @p7797 :rule cong :premises (@p7796 @p7751) :args (@t6010)) % 1.61/1.82 (step @p7798 :rule aci_norm :args ((= @t6012 @t2807))) % 1.61/1.82 (step @p7799 :rule cong :premises (@p7798) :args (@t6013)) % 1.61/1.82 (step @p7800 :rule quant-merge-prenex :args ((= (forall @t245 @t6015) @t6013))) % 1.61/1.82 (step @p7801 :rule alpha_equiv :args (@t6016 (@list @t2804) @t3627)) % 1.61/1.82 (step @p7802 :rule nary_cong :premises (@p869 @p7801) :args (@t6017)) % 1.61/1.82 (step @p7803 :rule quant-miniscope-or :args ((= @t6015 @t6017))) % 1.61/1.82 (step @p7804 :rule trans :premises (@p7803 @p7802)) % 1.61/1.82 (step @p7805 :rule symm :premises (@p7804)) % 1.61/1.82 (step @p7806 :rule cong :premises (@p7805) :args ((forall @t245 (or @t2125 @t6018)))) % 1.61/1.82 (step @p7807 :rule trans :premises (@p7806 @p7800)) % 1.61/1.82 (step @p7808 :rule trans :premises (@p7807 @p7799)) % 1.61/1.82 (step @p7809 :rule refl :args (@t6018)) % 1.61/1.82 (step @p7810 :rule nary_cong :premises (@p883 @p7809) :args (@t6019)) % 1.61/1.82 (step @p7811 :rule cong :premises (@p7810) :args ((forall @t245 @t6019))) % 1.61/1.82 (step @p7812 :rule trans :premises (@p7811 @p7808)) % 1.61/1.82 (step @p7813 :rule bool-impl-elim :args (@t7 @t6018)) % 1.61/1.82 (step @p7814 :rule cong :premises (@p7813) :args ((forall @t245 (=> @t7 @t6018)))) % 1.61/1.82 (step @p7815 :rule trans :premises (@p7814 @p7812)) % 1.61/1.82 (step @p7816 :rule refl :args ((tptp.kfst @t633))) % 1.61/1.82 (step @p7817 :rule cong :premises (@p892) :args (@t2857)) % 1.61/1.82 (step @p7818 :rule trans :premises (@p7817 @p7816)) % 1.61/1.82 (step @p7819 :rule refl :args (tptp.kfst)) % 1.61/1.82 (step @p7820 :rule ho_cong :premises (@p7819 @p892)) % 1.61/1.82 (step @p7821 :rule cong :premises (@p7820 @p7818) :args ((= (_ tptp.kfst @t2768) @t2857))) % 1.61/1.82 (step @p7822 :rule symm :premises (@p7821)) % 1.61/1.82 (step @p7823 :rule refl :args (@t765)) % 1.61/1.82 (step @p7824 :rule eq_resolve :premises (@p7823 @p7822)) % 1.61/1.82 (step @p7825 :rule ho_cong :premises (@p7819 @p909)) % 1.61/1.82 (step @p7826 :rule trans :premises (@p7825 @p7824)) % 1.61/1.82 (step @p7827 :rule cong :premises (@p3047 @p7826) :args (@t6020)) % 1.61/1.82 (step @p7828 :rule nary_cong :premises (@p2089 @p7827) :args (@t6021)) % 1.61/1.82 (step @p7829 :rule cong :premises (@p7828) :args ((forall @t70 @t6021))) % 1.61/1.82 (step @p7830 :rule bool-impl-elim :args (@t354 @t6020)) % 1.61/1.82 (step @p7831 :rule cong :premises (@p7830) :args ((forall @t70 (=> @t354 @t6020)))) % 1.61/1.82 (step @p7832 :rule trans :premises (@p7831 @p7829)) % 1.61/1.82 (step @p7833 :rule eq-symm :args (@t765 @t4)) % 1.61/1.82 (step @p7834 :rule cong :premises (@p6790 @p7833) :args (@t835)) % 1.61/1.82 (step @p7835 :rule cong :premises (@p7834) :args (@t836)) % 1.61/1.82 (step @p7836 :rule trans :premises (@p7835 @p7832)) % 1.61/1.82 (step @p7837 :rule cong :premises (@p942 @p7836) :args (@t837)) % 1.61/1.82 (step @p7838 :rule cong :premises (@p7837) :args (@t838)) % 1.61/1.82 (step @p7839 :rule trans :premises (@p7838 @p7815)) % 1.61/1.82 (step @p7840 :rule refl :args (tptp.cartprodfstpairEq)) % 1.61/1.82 (step @p7841 :rule cong :premises (@p7840 @p7839) :args (@t839)) % 1.61/1.82 (step @p7842 :rule eq_resolve :premises (@p179 @p7841)) % 1.61/1.82 (step @p7843 :rule cong :premises (@p7842 @p7797) :args (@t6022)) % 1.61/1.82 (step @p7844 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 1.61/1.82 (step @p7845 :rule symm :premises (@p7844)) % 1.61/1.82 (step @p7846 :rule quant-unused-vars :args ((= (forall @t245 true) true))) % 1.61/1.82 (step @p7847 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 1.61/1.82 (step @p7848 :rule bool-impl-true1 :args (@t354)) % 1.61/1.82 (step @p7849 :rule eq-refl :args (@t633)) % 1.61/1.82 (step @p7850 :rule cong :premises (@p6790 @p7849) :args (@t830)) % 1.61/1.82 (step @p7851 :rule trans :premises (@p7850 @p7848)) % 1.61/1.82 (step @p7852 :rule cong :premises (@p7851) :args (@t831)) % 1.61/1.82 (step @p7853 :rule trans :premises (@p7852 @p7847)) % 1.61/1.82 (step @p7854 :rule cong :premises (@p942 @p7853) :args (@t832)) % 1.61/1.82 (step @p7855 :rule trans :premises (@p7854 @p6410)) % 1.61/1.82 (step @p7856 :rule cong :premises (@p7855) :args (@t833)) % 1.61/1.82 (step @p7857 :rule trans :premises (@p7856 @p7846)) % 1.61/1.82 (step @p7858 :rule refl :args (tptp.cartprodmempaircEq)) % 1.61/1.82 (step @p7859 :rule cong :premises (@p7858 @p7857) :args (@t834)) % 1.61/1.82 (step @p7860 :rule trans :premises (@p7859 @p7844)) % 1.61/1.82 (step @p7861 :rule eq_resolve :premises (@p178 @p7860)) % 1.61/1.82 (step @p7862 :rule eq_resolve :premises (@p7861 @p7845)) % 1.61/1.82 (step @p7863 :rule cong :premises (@p7862 @p7843) :args (@t6023)) % 1.61/1.82 (step @p7864 :rule refl :args ((tptp.in @t633 @t675))) % 1.61/1.82 (step @p7865 :rule cong :premises (@p892 @p7640) :args (@t2810)) % 1.61/1.82 (step @p7866 :rule trans :premises (@p7865 @p7864)) % 1.61/1.82 (step @p7867 :rule ho_cong :premises (@p896 @p7640)) % 1.61/1.82 (step @p7868 :rule cong :premises (@p7867 @p7866) :args ((= (_ @t3634 @t2782) @t2810))) % 1.61/1.82 (step @p7869 :rule symm :premises (@p7868)) % 1.61/1.82 (step @p7870 :rule refl :args (@t676)) % 1.61/1.82 (step @p7871 :rule eq_resolve :premises (@p7870 @p7869)) % 1.61/1.82 (step @p7872 :rule ho_cong :premises (@p910 @p7652)) % 1.61/1.82 (step @p7873 :rule trans :premises (@p7872 @p7871)) % 1.61/1.82 (step @p7874 :rule cong :premises (@p7873) :args (@t6024)) % 1.61/1.82 (step @p7875 :rule nary_cong :premises (@p7874 @p2088) :args (@t6025)) % 1.61/1.82 (step @p7876 :rule cong :premises (@p7875) :args ((forall @t825 @t6025))) % 1.61/1.82 (step @p7877 :rule bool-impl-elim :args (@t676 @t354)) % 1.61/1.82 (step @p7878 :rule cong :premises (@p7877) :args (@t828)) % 1.61/1.82 (step @p7879 :rule trans :premises (@p7878 @p7876)) % 1.61/1.82 (step @p7880 :rule refl :args (tptp.cartprodpairmemER)) % 1.61/1.82 (step @p7881 :rule cong :premises (@p7880 @p7879) :args (@t829)) % 1.61/1.82 (step @p7882 :rule eq_resolve :premises (@p177 @p7881)) % 1.61/1.82 (step @p7883 :rule cong :premises (@p7882 @p7863) :args (@t6026)) % 1.61/1.82 (step @p7884 :rule nary_cong :premises (@p7874 @p882) :args (@t6027)) % 1.61/1.82 (step @p7885 :rule cong :premises (@p7884) :args ((forall @t825 @t6027))) % 1.61/1.82 (step @p7886 :rule bool-impl-elim :args (@t676 @t7)) % 1.61/1.82 (step @p7887 :rule cong :premises (@p7886) :args (@t826)) % 1.61/1.82 (step @p7888 :rule trans :premises (@p7887 @p7885)) % 1.61/1.82 (step @p7889 :rule refl :args (tptp.cartprodpairmemEL)) % 1.61/1.82 (step @p7890 :rule cong :premises (@p7889 @p7888) :args (@t827)) % 1.61/1.82 (step @p7891 :rule eq_resolve :premises (@p176 @p7890)) % 1.61/1.82 (step @p7892 :rule cong :premises (@p7891 @p7883) :args (@t6028)) % 1.61/1.82 (step @p7893 :rule refl :args ((tptp.in @t816 @t1))) % 1.61/1.82 (step @p7894 :rule cong :premises (@p7702 @p1998) :args (@t2814)) % 1.61/1.82 (step @p7895 :rule trans :premises (@p7894 @p7893)) % 1.61/1.82 (step @p7896 :rule ho_cong :premises (@p895 @p7702)) % 1.61/1.82 (step @p7897 :rule ho_cong :premises (@p7896 @p1998)) % 1.61/1.82 (step @p7898 :rule cong :premises (@p7897 @p7895) :args ((= (_ (_ tptp.in @t2791) @t1) @t2814))) % 1.61/1.82 (step @p7899 :rule symm :premises (@p7898)) % 1.61/1.82 (step @p7900 :rule refl :args (@t822)) % 1.61/1.82 (step @p7901 :rule eq_resolve :premises (@p7900 @p7899)) % 1.61/1.82 (step @p7902 :rule ho_cong :premises (@p895 @p7716)) % 1.61/1.82 (step @p7903 :rule ho_cong :premises (@p7902 @p1998)) % 1.61/1.82 (step @p7904 :rule trans :premises (@p7903 @p7901)) % 1.61/1.82 (step @p7905 :rule nary_cong :premises (@p7737 @p7904) :args (@t6029)) % 1.61/1.82 (step @p7906 :rule cong :premises (@p7905) :args ((forall @t689 @t6029))) % 1.61/1.82 (step @p7907 :rule bool-impl-elim :args (@t687 @t822)) % 1.61/1.82 (step @p7908 :rule cong :premises (@p7907) :args (@t823)) % 1.61/1.82 (step @p7909 :rule trans :premises (@p7908 @p7906)) % 1.61/1.82 (step @p7910 :rule refl :args (tptp.cartprodsndin)) % 1.61/1.82 (step @p7911 :rule cong :premises (@p7910 @p7909) :args (@t824)) % 1.61/1.82 (step @p7912 :rule eq_resolve :premises (@p175 @p7911)) % 1.61/1.82 (step @p7913 :rule cong :premises (@p7912 @p7892) :args (@t6030)) % 1.61/1.82 (step @p7914 :rule refl :args (@t2816)) % 1.61/1.82 (step @p7915 :rule refl :args (@t692)) % 1.61/1.82 (step @p7916 :rule cong :premises (@p7915 @p7914) :args ((= @t692 @t2816))) % 1.61/1.82 (step @p7917 :rule symm :premises (@p7916)) % 1.61/1.82 (step @p7918 :rule eq_resolve :premises (@p7915 @p7917)) % 1.61/1.82 (step @p7919 :rule cong :premises (@p7918) :args (@t6031)) % 1.61/1.82 (step @p7920 :rule nary_cong :premises (@p7919 @p7725) :args (@t6032)) % 1.61/1.82 (step @p7921 :rule cong :premises (@p7920) :args ((forall @t757 @t6032))) % 1.61/1.82 (step @p7922 :rule bool-impl-elim :args (@t692 @t5995)) % 1.61/1.82 (step @p7923 :rule cong :premises (@p7922) :args ((forall @t757 (=> @t692 @t5995)))) % 1.61/1.82 (step @p7924 :rule trans :premises (@p7923 @p7921)) % 1.61/1.82 (step @p7925 :rule refl :args (@t692)) % 1.61/1.82 (step @p7926 :rule cong :premises (@p7925 @p7743) :args (@t819)) % 1.61/1.82 (step @p7927 :rule cong :premises (@p7926) :args (@t820)) % 1.61/1.82 (step @p7928 :rule trans :premises (@p7927 @p7924)) % 1.61/1.83 (step @p7929 :rule refl :args (tptp.kpairsurjEq)) % 1.61/1.83 (step @p7930 :rule cong :premises (@p7929 @p7928) :args (@t821)) % 1.61/1.83 (step @p7931 :rule eq_resolve :premises (@p174 @p7930)) % 1.61/1.83 (step @p7932 :rule cong :premises (@p7931 @p7913) :args (@t6033)) % 1.61/1.83 (step @p7933 :rule cong :premises (@p7781) :args ((forall @t135 @t6008))) % 1.61/1.83 (step @p7934 :rule cong :premises (@p7787) :args (@t814)) % 1.61/1.83 (step @p7935 :rule trans :premises (@p7934 @p7933)) % 1.61/1.83 (step @p7936 :rule refl :args (tptp.ksndpairEq)) % 1.61/1.83 (step @p7937 :rule cong :premises (@p7936 @p7935) :args (@t815)) % 1.61/1.83 (step @p7938 :rule eq_resolve :premises (@p173 @p7937)) % 1.61/1.83 (step @p7939 :rule cong :premises (@p7938 @p7932) :args (@t6034)) % 1.61/1.83 (step @p7940 :rule refl :args ((tptp.singleton @t808))) % 1.61/1.83 (step @p7941 :rule refl :args ((tptp.dsetconstr @t753 @t807))) % 1.61/1.83 (step @p7942 :rule refl :args ((tptp.kpair @t769 @t4))) % 1.61/1.83 (step @p7943 :rule cong :premises (@p7703 @p3047) :args (@t2822)) % 1.61/1.83 (step @p7944 :rule trans :premises (@p7943 @p7942)) % 1.61/1.83 (step @p7945 :rule cong :premises (@p7724 @p7944) :args (@t2823)) % 1.61/1.83 (step @p7946 :rule cong :premises (@p7945) :args (@t2824)) % 1.61/1.83 (step @p7947 :rule refl :args (@t2825)) % 1.61/1.83 (step @p7948 :rule cong :premises (@p7947 @p7946) :args (@t2826)) % 1.61/1.83 (step @p7949 :rule trans :premises (@p7948 @p7941)) % 1.61/1.83 (step @p7950 :rule cong :premises (@p7949) :args (@t2827)) % 1.61/1.83 (step @p7951 :rule trans :premises (@p7950 @p7940)) % 1.61/1.83 (step @p7952 :rule ho_cong :premises (@p2003 @p7949)) % 1.61/1.83 (step @p7953 :rule cong :premises (@p7952 @p7951) :args ((= (_ tptp.singleton @t2826) @t2827))) % 1.61/1.83 (step @p7954 :rule symm :premises (@p7953)) % 1.61/1.83 (step @p7955 :rule refl :args (@t809)) % 1.61/1.83 (step @p7956 :rule eq_resolve :premises (@p7955 @p7954)) % 1.61/1.83 (step @p7957 :rule refl :args (tptp.dsetconstr)) % 1.61/1.83 (step @p7958 :rule ho_cong :premises (@p7957 @p7947)) % 1.61/1.83 (step @p7959 :rule ho_cong :premises (@p7958 @p7946)) % 1.61/1.83 (step @p7960 :rule cong :premises (@p7959 @p7949) :args ((= (_ @t6035 @t2824) @t2826))) % 1.61/1.83 (step @p7961 :rule symm :premises (@p7960)) % 1.61/1.83 (step @p7962 :rule refl :args (@t808)) % 1.61/1.83 (step @p7963 :rule eq_resolve :premises (@p7962 @p7961)) % 1.61/1.83 (step @p7964 :rule ho_cong :premises (@p7707 @p3047)) % 1.61/1.83 (step @p7965 :rule cong :premises (@p7964 @p7944) :args ((= (_ @t5994 @t4) @t2822))) % 1.61/1.83 (step @p7966 :rule symm :premises (@p7965)) % 1.61/1.83 (step @p7967 :rule refl :args (@t805)) % 1.61/1.83 (step @p7968 :rule eq_resolve :premises (@p7967 @p7966)) % 1.61/1.83 (step @p7969 :rule ho_cong :premises (@p7721 @p3047)) % 1.61/1.83 (step @p7970 :rule trans :premises (@p7969 @p7968)) % 1.61/1.83 (step @p7971 :rule cong :premises (@p7724 @p7970) :args (@t806)) % 1.61/1.83 (step @p7972 :rule cong :premises (@p7971) :args (@t807)) % 1.61/1.83 (step @p7973 :rule refl :args (@t753)) % 1.61/1.83 (step @p7974 :rule cong :premises (@p7973 @p7947) :args ((= @t753 @t2825))) % 1.61/1.83 (step @p7975 :rule symm :premises (@p7974)) % 1.61/1.83 (step @p7976 :rule eq_resolve :premises (@p7973 @p7975)) % 1.61/1.83 (step @p7977 :rule ho_cong :premises (@p7957 @p7976)) % 1.61/1.83 (step @p7978 :rule ho_cong :premises (@p7977 @p7972)) % 1.61/1.83 (step @p7979 :rule trans :premises (@p7978 @p7963)) % 1.61/1.83 (step @p7980 :rule ho_cong :premises (@p2003 @p7979)) % 1.61/1.83 (step @p7981 :rule trans :premises (@p7980 @p7956)) % 1.61/1.83 (step @p7982 :rule nary_cong :premises (@p7919 @p7981) :args (@t6036)) % 1.61/1.83 (step @p7983 :rule cong :premises (@p7982) :args ((forall @t757 @t6036))) % 1.61/1.83 (step @p7984 :rule bool-impl-elim :args (@t692 @t809)) % 1.61/1.83 (step @p7985 :rule cong :premises (@p7984) :args (@t810)) % 1.61/1.83 (step @p7986 :rule trans :premises (@p7985 @p7983)) % 1.61/1.83 (step @p7987 :rule refl :args (tptp.ksndsingleton)) % 1.61/1.83 (step @p7988 :rule cong :premises (@p7987 @p7986) :args (@t811)) % 1.61/1.83 (step @p7989 :rule eq_resolve :premises (@p172 @p7988)) % 1.61/1.83 (step @p7990 :rule cong :premises (@p7989 @p7939) :args (@t6037)) % 1.61/1.83 (step @p7991 :rule refl :args (@t793)) % 1.61/1.83 (step @p7992 :rule refl :args (@t2829)) % 1.61/1.83 (step @p7993 :rule refl :args (@t782)) % 1.61/1.83 (step @p7994 :rule cong :premises (@p7993 @p7992) :args ((= @t782 @t2829))) % 1.61/1.83 (step @p7995 :rule symm :premises (@p7994)) % 1.61/1.83 (step @p7996 :rule eq_resolve :premises (@p7993 @p7995)) % 1.61/1.83 (step @p7997 :rule cong :premises (@p909 @p7996) :args (@t783)) % 1.61/1.83 (step @p7998 :rule cong :premises (@p7997) :args (@t6038)) % 1.61/1.83 (step @p7999 :rule nary_cong :premises (@p7998 @p7991) :args (@t6039)) % 1.61/1.83 (step @p8000 :rule cong :premises (@p7999) :args ((forall @t778 @t6039))) % 1.61/1.83 (step @p8001 :rule bool-impl-elim :args (@t783 @t793)) % 1.61/1.83 (step @p8002 :rule cong :premises (@p8001) :args (@t802)) % 1.61/1.83 (step @p8003 :rule trans :premises (@p8002 @p8000)) % 1.61/1.83 (step @p8004 :rule refl :args (tptp.setukpairinjR)) % 1.61/1.83 (step @p8005 :rule cong :premises (@p8004 @p8003) :args (@t803)) % 1.61/1.83 (step @p8006 :rule eq_resolve :premises (@p171 @p8005)) % 1.61/1.83 (step @p8007 :rule cong :premises (@p8006 @p7990) :args (@t6040)) % 1.61/1.83 (step @p8008 :rule refl :args ((tptp.setadjoin @t747 @t775))) % 1.61/1.83 (step @p8009 :rule refl :args ((tptp.setadjoin @t774 tptp.emptyset))) % 1.61/1.83 (step @p8010 :rule refl :args ((tptp.setadjoin @t289 @t773))) % 1.61/1.83 (step @p8011 :rule refl :args (@t2832)) % 1.61/1.83 (step @p8012 :rule refl :args (@t289)) % 1.61/1.83 (step @p8013 :rule cong :premises (@p8012 @p8011) :args (@t2833)) % 1.61/1.83 (step @p8014 :rule trans :premises (@p8013 @p8010)) % 1.61/1.83 (step @p8015 :rule cong :premises (@p8014 @p359) :args (@t2834)) % 1.61/1.83 (step @p8016 :rule trans :premises (@p8015 @p8009)) % 1.61/1.83 (step @p8017 :rule refl :args (@t2835)) % 1.61/1.83 (step @p8018 :rule cong :premises (@p8017 @p8016) :args (@t2836)) % 1.61/1.83 (step @p8019 :rule trans :premises (@p8018 @p8008)) % 1.61/1.83 (step @p8020 :rule refl :args (tptp.setadjoin)) % 1.61/1.83 (step @p8021 :rule ho_cong :premises (@p8020 @p8017)) % 1.61/1.83 (step @p8022 :rule ho_cong :premises (@p8021 @p8016)) % 1.61/1.83 (step @p8023 :rule cong :premises (@p8022 @p8019) :args ((= (_ (_ tptp.setadjoin @t2835) @t2834) @t2836))) % 1.61/1.83 (step @p8024 :rule symm :premises (@p8023)) % 1.61/1.83 (step @p8025 :rule refl :args (@t776)) % 1.61/1.83 (step @p8026 :rule eq_resolve :premises (@p8025 @p8024)) % 1.61/1.83 (step @p8027 :rule ho_cong :premises (@p8020 @p8014)) % 1.61/1.83 (step @p8028 :rule ho_cong :premises (@p8027 @p359)) % 1.61/1.83 (step @p8029 :rule cong :premises (@p8028 @p8016) :args ((= (_ (_ tptp.setadjoin @t2833) tptp.emptyset) @t2834))) % 1.61/1.83 (step @p8030 :rule symm :premises (@p8029)) % 1.61/1.83 (step @p8031 :rule refl :args (@t775)) % 1.61/1.83 (step @p8032 :rule eq_resolve :premises (@p8031 @p8030)) % 1.61/1.83 (step @p8033 :rule refl :args (@t746)) % 1.61/1.83 (step @p8034 :rule ho_cong :premises (@p8033 @p8011)) % 1.61/1.83 (step @p8035 :rule cong :premises (@p8034 @p8014) :args ((= (_ @t746 @t2832) @t2833))) % 1.61/1.83 (step @p8036 :rule symm :premises (@p8035)) % 1.61/1.83 (step @p8037 :rule refl :args (@t774)) % 1.61/1.83 (step @p8038 :rule eq_resolve :premises (@p8037 @p8036)) % 1.61/1.83 (step @p8039 :rule refl :args (@t773)) % 1.61/1.83 (step @p8040 :rule cong :premises (@p8039 @p8011) :args ((= @t773 @t2832))) % 1.61/1.83 (step @p8041 :rule symm :premises (@p8040)) % 1.61/1.83 (step @p8042 :rule eq_resolve :premises (@p8039 @p8041)) % 1.61/1.83 (step @p8043 :rule ho_cong :premises (@p8033 @p8042)) % 1.61/1.83 (step @p8044 :rule trans :premises (@p8043 @p8038)) % 1.61/1.83 (step @p8045 :rule ho_cong :premises (@p8020 @p8044)) % 1.61/1.83 (step @p8046 :rule ho_cong :premises (@p8045 @p359)) % 1.61/1.83 (step @p8047 :rule trans :premises (@p8046 @p8032)) % 1.61/1.83 (step @p8048 :rule refl :args (@t747)) % 1.61/1.83 (step @p8049 :rule cong :premises (@p8048 @p8017) :args ((= @t747 @t2835))) % 1.61/1.83 (step @p8050 :rule symm :premises (@p8049)) % 1.61/1.83 (step @p8051 :rule eq_resolve :premises (@p8048 @p8050)) % 1.61/1.83 (step @p8052 :rule ho_cong :premises (@p8020 @p8051)) % 1.61/1.83 (step @p8053 :rule ho_cong :premises (@p8052 @p8047)) % 1.61/1.83 (step @p8054 :rule trans :premises (@p8053 @p8026)) % 1.61/1.83 (step @p8055 :rule refl :args ((tptp.setadjoin @t279 @t619))) % 1.61/1.83 (step @p8056 :rule refl :args ((tptp.setadjoin @t293 tptp.emptyset))) % 1.61/1.83 (step @p8057 :rule cong :premises (@p5482 @p359) :args (@t2839)) % 1.61/1.83 (step @p8058 :rule trans :premises (@p8057 @p8056)) % 1.61/1.83 (step @p8059 :rule cong :premises (@p5889 @p8058) :args (@t2840)) % 1.61/1.83 (step @p8060 :rule trans :premises (@p8059 @p8055)) % 1.61/1.83 (step @p8061 :rule ho_cong :premises (@p8020 @p5889)) % 1.61/1.83 (step @p8062 :rule ho_cong :premises (@p8061 @p8058)) % 1.61/1.83 (step @p8063 :rule cong :premises (@p8062 @p8060) :args ((= (_ @t6041 @t2839) @t2840))) % 1.61/1.83 (step @p8064 :rule symm :premises (@p8063)) % 1.61/1.83 (step @p8065 :rule refl :args (@t621)) % 1.61/1.83 (step @p8066 :rule eq_resolve :premises (@p8065 @p8064)) % 1.61/1.83 (step @p8067 :rule ho_cong :premises (@p8020 @p5482)) % 1.61/1.83 (step @p8068 :rule ho_cong :premises (@p8067 @p359)) % 1.61/1.83 (step @p8069 :rule cong :premises (@p8068 @p8058) :args ((= (_ (_ tptp.setadjoin @t2838) tptp.emptyset) @t2839))) % 1.61/1.83 (step @p8070 :rule symm :premises (@p8069)) % 1.61/1.83 (step @p8071 :rule refl :args (@t619)) % 1.61/1.83 (step @p8072 :rule eq_resolve :premises (@p8071 @p8070)) % 1.61/1.83 (step @p8073 :rule ho_cong :premises (@p8020 @p5503)) % 1.61/1.83 (step @p8074 :rule ho_cong :premises (@p8073 @p359)) % 1.61/1.83 (step @p8075 :rule trans :premises (@p8074 @p8072)) % 1.61/1.83 (step @p8076 :rule ho_cong :premises (@p8020 @p5893)) % 1.61/1.83 (step @p8077 :rule ho_cong :premises (@p8076 @p8075)) % 1.61/1.83 (step @p8078 :rule trans :premises (@p8077 @p8066)) % 1.61/1.83 (step @p8079 :rule cong :premises (@p8078 @p8054) :args (@t777)) % 1.61/1.83 (step @p8080 :rule cong :premises (@p8079) :args (@t6042)) % 1.61/1.83 (step @p8081 :rule nary_cong :premises (@p8080 @p7991) :args (@t6043)) % 1.61/1.83 (step @p8082 :rule cong :premises (@p8081) :args ((forall @t778 @t6043))) % 1.61/1.83 (step @p8083 :rule bool-impl-elim :args (@t777 @t793)) % 1.61/1.83 (step @p8084 :rule cong :premises (@p8083) :args (@t800)) % 1.61/1.83 (step @p8085 :rule trans :premises (@p8084 @p8082)) % 1.61/1.83 (step @p8086 :rule refl :args (tptp.setukpairinjR2)) % 1.61/1.83 (step @p8087 :rule cong :premises (@p8086 @p8085) :args (@t801)) % 1.61/1.83 (step @p8088 :rule eq_resolve :premises (@p170 @p8087)) % 1.61/1.83 (step @p8089 :rule cong :premises (@p8088 @p8007) :args (@t6044)) % 1.61/1.83 (step @p8090 :rule cong :premises (@p5503 @p8051) :args (@t797)) % 1.61/1.83 (step @p8091 :rule cong :premises (@p8090) :args (@t6045)) % 1.61/1.83 (step @p8092 :rule nary_cong :premises (@p8091 @p7069) :args (@t6046)) % 1.61/1.83 (step @p8093 :rule cong :premises (@p8092) :args ((forall @t297 @t6046))) % 1.61/1.83 (step @p8094 :rule bool-impl-elim :args (@t797 @t129)) % 1.61/1.83 (step @p8095 :rule cong :premises (@p8094) :args (@t798)) % 1.61/1.83 (step @p8096 :rule trans :premises (@p8095 @p8093)) % 1.61/1.83 (step @p8097 :rule refl :args (tptp.upairequniteq)) % 1.61/1.83 (step @p8098 :rule cong :premises (@p8097 @p8096) :args (@t799)) % 1.61/1.83 (step @p8099 :rule eq_resolve :premises (@p169 @p8098)) % 1.61/1.83 (step @p8100 :rule cong :premises (@p8099 @p8089) :args (@t6047)) % 1.61/1.83 (step @p8101 :rule aci_norm :args ((= (or @t2844 false @t793) @t2845))) % 1.61/1.83 (step @p8102 :rule refl :args (@t793)) % 1.61/1.83 (step @p8103 :rule eq-refl :args (@t383)) % 1.61/1.83 (step @p8104 :rule cong :premises (@p8103) :args (@t6048)) % 1.61/1.83 (step @p8105 :rule trans :premises (@p8104 @p5597)) % 1.61/1.83 (step @p8106 :rule refl :args (@t2844)) % 1.61/1.83 (step @p8107 :rule nary_cong :premises (@p8106 @p8105 @p8102) :args (@t6049)) % 1.61/1.83 (step @p8108 :rule trans :premises (@p8107 @p8101)) % 1.61/1.83 (step @p8109 :rule cong :premises (@p8108) :args ((forall @t2846 @t6049))) % 1.61/1.83 (step @p8110 :rule quant-var-elim-eq :args ((= (forall @t1067 @t6051) @t6049))) % 1.61/1.83 (step @p8111 :rule aci_norm :args ((= @t6052 @t6051))) % 1.61/1.83 (step @p8112 :rule cong :premises (@p8111) :args (@t6053)) % 1.61/1.83 (step @p8113 :rule trans :premises (@p8112 @p8110)) % 1.61/1.83 (step @p8114 :rule cong :premises (@p8113) :args (@t6054)) % 1.61/1.83 (step @p8115 :rule quant-merge-prenex :args ((= @t6054 @t6055))) % 1.61/1.83 (step @p8116 :rule symm :premises (@p8115)) % 1.61/1.83 (step @p8117 :rule quant_var_reordering :args ((= (forall @t778 @t6052) @t6055))) % 1.61/1.83 (step @p8118 :rule trans :premises (@p8117 @p8116 @p8114)) % 1.61/1.83 (step @p8119 :rule trans :premises (@p8118 @p8109)) % 1.61/1.83 (step @p8120 :rule refl :args (@t6050)) % 1.61/1.83 (step @p8121 :rule nary_cong :premises (@p8080 @p8120 @p7991) :args (@t6056)) % 1.61/1.83 (step @p8122 :rule cong :premises (@p8121) :args ((forall @t778 @t6056))) % 1.61/1.83 (step @p8123 :rule trans :premises (@p8122 @p8119)) % 1.61/1.83 (step @p8124 :rule aci_norm :args ((= (or @t6042 (or @t6050 @t793)) @t6056))) % 1.61/1.83 (step @p8125 :rule bool-impl-elim :args (@t387 @t793)) % 1.61/1.83 (step @p8126 :rule refl :args (@t6042)) % 1.61/1.83 (step @p8127 :rule nary_cong :premises (@p8126 @p8125) :args ((or @t6042 @t794))) % 1.61/1.83 (step @p8128 :rule trans :premises (@p8127 @p8124)) % 1.61/1.83 (step @p8129 :rule bool-impl-elim :args (@t777 @t794)) % 1.61/1.83 (step @p8130 :rule trans :premises (@p8129 @p8128)) % 1.61/1.83 (step @p8131 :rule cong :premises (@p8130) :args (@t795)) % 1.61/1.83 (step @p8132 :rule trans :premises (@p8131 @p8123)) % 1.61/1.83 (step @p8133 :rule refl :args (tptp.setukpairinjR1)) % 1.61/1.83 (step @p8134 :rule cong :premises (@p8133 @p8132) :args (@t796)) % 1.61/1.83 (step @p8135 :rule eq_resolve :premises (@p168 @p8134)) % 1.61/1.83 (step @p8136 :rule cong :premises (@p8135 @p8100) :args (@t6057)) % 1.61/1.83 (step @p8137 :rule aci_norm :args ((= (or false @t2849) @t2849))) % 1.61/1.83 (step @p8138 :rule refl :args (@t2849)) % 1.61/1.83 (step @p8139 :rule eq-refl :args (@t19)) % 1.61/1.83 (step @p8140 :rule cong :premises (@p8139) :args (@t6058)) % 1.61/1.83 (step @p8141 :rule trans :premises (@p8140 @p5597)) % 1.61/1.83 (step @p8142 :rule nary_cong :premises (@p8141 @p8138) :args (@t6059)) % 1.61/1.83 (step @p8143 :rule trans :premises (@p8142 @p8137)) % 1.61/1.83 (step @p8144 :rule cong :premises (@p8143) :args ((forall @t70 @t6059))) % 1.61/1.83 (step @p8145 :rule quant-var-elim-eq :args ((= (forall @t9 @t6062) @t6059))) % 1.61/1.83 (step @p8146 :rule aci_norm :args ((= @t6063 @t6062))) % 1.61/1.83 (step @p8147 :rule cong :premises (@p8146) :args (@t6064)) % 1.61/1.83 (step @p8148 :rule trans :premises (@p8147 @p8145)) % 1.61/1.83 (step @p8149 :rule cong :premises (@p8148) :args (@t6065)) % 1.61/1.83 (step @p8150 :rule quant-merge-prenex :args ((= @t6065 @t6067))) % 1.61/1.83 (step @p8151 :rule symm :premises (@p8150)) % 1.61/1.83 (step @p8152 :rule quant_var_reordering :args ((= (forall @t135 @t6063) @t6067))) % 1.61/1.83 (step @p8153 :rule trans :premises (@p8152 @p8151 @p8149)) % 1.61/1.83 (step @p8154 :rule trans :premises (@p8153 @p8144)) % 1.61/1.83 (step @p8155 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 1.61/1.83 (step @p8156 :rule cong :premises (@p5889 @p359) :args (@t6060)) % 1.61/1.83 (step @p8157 :rule trans :premises (@p8156 @p8155)) % 1.61/1.83 (step @p8158 :rule ho_cong :premises (@p8061 @p359)) % 1.61/1.83 (step @p8159 :rule cong :premises (@p8158 @p8157) :args ((= (_ @t6041 tptp.emptyset) @t6060))) % 1.61/1.83 (step @p8160 :rule symm :premises (@p8159)) % 1.61/1.83 (step @p8161 :rule refl :args (@t789)) % 1.61/1.83 (step @p8162 :rule eq_resolve :premises (@p8161 @p8160)) % 1.61/1.83 (step @p8163 :rule ho_cong :premises (@p8076 @p359)) % 1.61/1.83 (step @p8164 :rule trans :premises (@p8163 @p8162)) % 1.61/1.83 (step @p8165 :rule cong :premises (@p8078 @p8164) :args (@t790)) % 1.61/1.83 (step @p8166 :rule refl :args (@t282)) % 1.61/1.83 (step @p8167 :rule nary_cong :premises (@p8166 @p8165) :args (@t6068)) % 1.61/1.83 (step @p8168 :rule cong :premises (@p8167) :args ((forall @t135 @t6068))) % 1.61/1.83 (step @p8169 :rule trans :premises (@p8168 @p8154)) % 1.61/1.83 (step @p8170 :rule bool-impl-elim :args (@t129 @t790)) % 1.61/1.83 (step @p8171 :rule cong :premises (@p8170) :args (@t791)) % 1.61/1.83 (step @p8172 :rule trans :premises (@p8171 @p8169)) % 1.61/1.83 (step @p8173 :rule refl :args (tptp.setukpairinjR12)) % 1.61/1.83 (step @p8174 :rule cong :premises (@p8173 @p8172) :args (@t792)) % 1.61/1.83 (step @p8175 :rule eq_resolve :premises (@p167 @p8174)) % 1.61/1.83 (step @p8176 :rule cong :premises (@p8175 @p8136) :args (@t6069)) % 1.61/1.83 (step @p8177 :rule aci_norm :args ((= (or false @t2851) @t2851))) % 1.61/1.83 (step @p8178 :rule refl :args (@t2851)) % 1.61/1.83 (step @p8179 :rule nary_cong :premises (@p8141 @p8178) :args (@t6070)) % 1.61/1.83 (step @p8180 :rule trans :premises (@p8179 @p8177)) % 1.61/1.83 (step @p8181 :rule cong :premises (@p8180) :args ((forall @t70 @t6070))) % 1.61/1.83 (step @p8182 :rule quant-var-elim-eq :args ((= (forall @t9 @t6072) @t6070))) % 1.61/1.83 (step @p8183 :rule aci_norm :args ((= @t6073 @t6072))) % 1.61/1.83 (step @p8184 :rule cong :premises (@p8183) :args (@t6074)) % 1.61/1.83 (step @p8185 :rule trans :premises (@p8184 @p8182)) % 1.61/1.83 (step @p8186 :rule cong :premises (@p8185) :args (@t6075)) % 1.61/1.83 (step @p8187 :rule quant-merge-prenex :args ((= @t6075 @t6076))) % 1.61/1.83 (step @p8188 :rule symm :premises (@p8187)) % 1.61/1.83 (step @p8189 :rule quant_var_reordering :args ((= (forall @t135 @t6073) @t6076))) % 1.61/1.83 (step @p8190 :rule trans :premises (@p8189 @p8188 @p8186)) % 1.61/1.83 (step @p8191 :rule trans :premises (@p8190 @p8181)) % 1.61/1.83 (step @p8192 :rule cong :premises (@p5893 @p5503) :args (@t6077)) % 1.61/1.83 (step @p8193 :rule nary_cong :premises (@p8166 @p8192) :args (@t6078)) % 1.61/1.83 (step @p8194 :rule cong :premises (@p8193) :args ((forall @t135 @t6078))) % 1.61/1.83 (step @p8195 :rule trans :premises (@p8194 @p8191)) % 1.61/1.83 (step @p8196 :rule bool-impl-elim :args (@t129 @t6077)) % 1.61/1.83 (step @p8197 :rule cong :premises (@p8196) :args ((forall @t135 (=> @t129 @t6077)))) % 1.61/1.83 (step @p8198 :rule trans :premises (@p8197 @p8195)) % 1.61/1.83 (step @p8199 :rule eq-symm :args (@t293 @t279)) % 1.61/1.83 (step @p8200 :rule refl :args (@t129)) % 1.61/1.83 (step @p8201 :rule cong :premises (@p8200 @p8199) :args (@t786)) % 1.61/1.83 (step @p8202 :rule cong :premises (@p8201) :args (@t787)) % 1.61/1.83 (step @p8203 :rule trans :premises (@p8202 @p8198)) % 1.61/1.83 (step @p8204 :rule refl :args (tptp.setukpairinjR11)) % 1.61/1.83 (step @p8205 :rule cong :premises (@p8204 @p8203) :args (@t788)) % 1.61/1.83 (step @p8206 :rule eq_resolve :premises (@p166 @p8205)) % 1.61/1.83 (step @p8207 :rule cong :premises (@p8206 @p8176) :args (@t6079)) % 1.61/1.83 (step @p8208 :rule refl :args (@t745)) % 1.61/1.83 (step @p8209 :rule nary_cong :premises (@p7998 @p8208) :args (@t6080)) % 1.61/1.83 (step @p8210 :rule cong :premises (@p8209) :args ((forall @t778 @t6080))) % 1.61/1.83 (step @p8211 :rule bool-impl-elim :args (@t783 @t745)) % 1.61/1.83 (step @p8212 :rule cong :premises (@p8211) :args (@t784)) % 1.61/1.83 (step @p8213 :rule trans :premises (@p8212 @p8210)) % 1.61/1.83 (step @p8214 :rule refl :args (tptp.setukpairinjL)) % 1.61/1.83 (step @p8215 :rule cong :premises (@p8214 @p8213) :args (@t785)) % 1.61/1.83 (step @p8216 :rule eq_resolve :premises (@p165 @p8215)) % 1.61/1.83 (step @p8217 :rule cong :premises (@p8216 @p8207) :args (@t6081)) % 1.61/1.83 (step @p8218 :rule nary_cong :premises (@p8080 @p8208) :args (@t6082)) % 1.61/1.83 (step @p8219 :rule cong :premises (@p8218) :args ((forall @t778 @t6082))) % 1.61/1.83 (step @p8220 :rule bool-impl-elim :args (@t777 @t745)) % 1.61/1.83 (step @p8221 :rule cong :premises (@p8220) :args (@t779)) % 1.61/1.83 (step @p8222 :rule trans :premises (@p8221 @p8219)) % 1.61/1.83 (step @p8223 :rule refl :args (tptp.setukpairinjL2)) % 1.61/1.83 (step @p8224 :rule cong :premises (@p8223 @p8222) :args (@t780)) % 1.61/1.83 (step @p8225 :rule eq_resolve :premises (@p164 @p8224)) % 1.61/1.83 (step @p8226 :rule cong :premises (@p8225 @p8217) :args (@t6083)) % 1.61/1.83 (step @p8227 :rule refl :args ((tptp.in @t769 @t2))) % 1.61/1.83 (step @p8228 :rule cong :premises (@p7703 @p1066) :args (@t2855)) % 1.61/1.83 (step @p8229 :rule trans :premises (@p8228 @p8227)) % 1.61/1.83 (step @p8230 :rule ho_cong :premises (@p895 @p7703)) % 1.61/1.83 (step @p8231 :rule ho_cong :premises (@p8230 @p1066)) % 1.61/1.83 (step @p8232 :rule cong :premises (@p8231 @p8229) :args ((= (_ (_ tptp.in @t2792) @t2) @t2855))) % 1.61/1.83 (step @p8233 :rule symm :premises (@p8232)) % 1.61/1.83 (step @p8234 :rule refl :args (@t770)) % 1.61/1.83 (step @p8235 :rule eq_resolve :premises (@p8234 @p8233)) % 1.61/1.83 (step @p8236 :rule ho_cong :premises (@p895 @p7720)) % 1.61/1.83 (step @p8237 :rule ho_cong :premises (@p8236 @p1066)) % 1.61/1.83 (step @p8238 :rule trans :premises (@p8237 @p8235)) % 1.61/1.83 (step @p8239 :rule nary_cong :premises (@p7737 @p8238) :args (@t6084)) % 1.61/1.83 (step @p8240 :rule cong :premises (@p8239) :args ((forall @t689 @t6084))) % 1.61/1.83 (step @p8241 :rule bool-impl-elim :args (@t687 @t770)) % 1.61/1.83 (step @p8242 :rule cong :premises (@p8241) :args (@t771)) % 1.61/1.83 (step @p8243 :rule trans :premises (@p8242 @p8240)) % 1.61/1.83 (step @p8244 :rule refl :args (tptp.cartprodfstin)) % 1.61/1.83 (step @p8245 :rule cong :premises (@p8244 @p8243) :args (@t772)) % 1.61/1.83 (step @p8246 :rule eq_resolve :premises (@p163 @p8245)) % 1.61/1.83 (step @p8247 :rule cong :premises (@p8246 @p8226) :args (@t6085)) % 1.61/1.83 (step @p8248 :rule cong :premises (@p7827) :args ((forall @t135 @t6020))) % 1.61/1.83 (step @p8249 :rule cong :premises (@p7833) :args (@t767)) % 1.61/1.83 (step @p8250 :rule trans :premises (@p8249 @p8248)) % 1.61/1.83 (step @p8251 :rule refl :args (tptp.kfstpairEq)) % 1.61/1.83 (step @p8252 :rule cong :premises (@p8251 @p8250) :args (@t768)) % 1.61/1.83 (step @p8253 :rule eq_resolve :premises (@p162 @p8252)) % 1.61/1.83 (step @p8254 :rule cong :premises (@p8253 @p8247) :args (@t6086)) % 1.61/1.83 (step @p8255 :rule refl :args ((tptp.in @t760 @t695))) % 1.61/1.83 (step @p8256 :rule cong :premises (@p5698 @p2154) :args (@t2860)) % 1.61/1.83 (step @p8257 :rule trans :premises (@p8256 @p8255)) % 1.61/1.83 (step @p8258 :rule ho_cong :premises (@p895 @p5698)) % 1.61/1.83 (step @p8259 :rule ho_cong :premises (@p8258 @p2154)) % 1.61/1.83 (step @p8260 :rule cong :premises (@p8259 @p8257) :args ((= (_ (_ tptp.in @t2570) @t695) @t2860))) % 1.61/1.83 (step @p8261 :rule symm :premises (@p8260)) % 1.61/1.83 (step @p8262 :rule refl :args (@t761)) % 1.61/1.83 (step @p8263 :rule eq_resolve :premises (@p8262 @p8261)) % 1.61/1.83 (step @p8264 :rule ho_cong :premises (@p895 @p5702)) % 1.61/1.83 (step @p8265 :rule ho_cong :premises (@p8264 @p2154)) % 1.61/1.83 (step @p8266 :rule trans :premises (@p8265 @p8263)) % 1.61/1.83 (step @p8267 :rule nary_cong :premises (@p5691 @p8266) :args (@t6087)) % 1.61/1.83 (step @p8268 :rule cong :premises (@p8267) :args ((forall @t700 @t6087))) % 1.61/1.83 (step @p8269 :rule bool-impl-elim :args (@t762 @t761)) % 1.61/1.83 (step @p8270 :rule cong :premises (@p8269) :args (@t763)) % 1.61/1.83 (step @p8271 :rule trans :premises (@p8270 @p8268)) % 1.61/1.83 (step @p8272 :rule refl :args (tptp.theprop)) % 1.61/1.83 (step @p8273 :rule cong :premises (@p8272 @p8271) :args (@t764)) % 1.61/1.83 (step @p8274 :rule eq_resolve :premises (@p161 @p8273)) % 1.61/1.83 (step @p8275 :rule cong :premises (@p8274 @p8254) :args (@t6088)) % 1.61/1.83 (step @p8276 :rule refl :args ((tptp.singleton @t755))) % 1.61/1.83 (step @p8277 :rule refl :args ((tptp.dsetconstr @t753 @t752))) % 1.61/1.83 (step @p8278 :rule refl :args ((tptp.in @t279 @t383))) % 1.61/1.83 (step @p8279 :rule cong :premises (@p5889 @p7724) :args (@t2862)) % 1.61/1.83 (step @p8280 :rule trans :premises (@p8279 @p8278)) % 1.61/1.83 (step @p8281 :rule cong :premises (@p8280) :args (@t2863)) % 1.61/1.83 (step @p8282 :rule cong :premises (@p7947 @p8281) :args (@t2864)) % 1.61/1.83 (step @p8283 :rule trans :premises (@p8282 @p8277)) % 1.61/1.83 (step @p8284 :rule cong :premises (@p8283) :args (@t2865)) % 1.61/1.83 (step @p8285 :rule trans :premises (@p8284 @p8276)) % 1.61/1.83 (step @p8286 :rule ho_cong :premises (@p2003 @p8283)) % 1.61/1.83 (step @p8287 :rule cong :premises (@p8286 @p8285) :args ((= (_ tptp.singleton @t2864) @t2865))) % 1.61/1.83 (step @p8288 :rule symm :premises (@p8287)) % 1.61/1.83 (step @p8289 :rule refl :args (@t756)) % 1.61/1.83 (step @p8290 :rule eq_resolve :premises (@p8289 @p8288)) % 1.61/1.83 (step @p8291 :rule ho_cong :premises (@p7958 @p8281)) % 1.61/1.83 (step @p8292 :rule cong :premises (@p8291 @p8283) :args ((= (_ @t6035 @t2863) @t2864))) % 1.61/1.83 (step @p8293 :rule symm :premises (@p8292)) % 1.61/1.83 (step @p8294 :rule refl :args (@t755)) % 1.61/1.83 (step @p8295 :rule eq_resolve :premises (@p8294 @p8293)) % 1.61/1.83 (step @p8296 :rule ho_cong :premises (@p895 @p5889)) % 1.61/1.83 (step @p8297 :rule ho_cong :premises (@p8296 @p7724)) % 1.61/1.83 (step @p8298 :rule cong :premises (@p8297 @p8280) :args ((= (_ @t6089 @t383) @t2862))) % 1.61/1.83 (step @p8299 :rule symm :premises (@p8298)) % 1.61/1.83 (step @p8300 :rule refl :args (@t751)) % 1.61/1.83 (step @p8301 :rule eq_resolve :premises (@p8300 @p8299)) % 1.61/1.83 (step @p8302 :rule ho_cong :premises (@p895 @p5893)) % 1.61/1.83 (step @p8303 :rule ho_cong :premises (@p8302 @p7724)) % 1.61/1.83 (step @p8304 :rule trans :premises (@p8303 @p8301)) % 1.61/1.83 (step @p8305 :rule cong :premises (@p8304) :args (@t752)) % 1.61/1.83 (step @p8306 :rule ho_cong :premises (@p7977 @p8305)) % 1.61/1.83 (step @p8307 :rule trans :premises (@p8306 @p8295)) % 1.61/1.83 (step @p8308 :rule ho_cong :premises (@p2003 @p8307)) % 1.61/1.83 (step @p8309 :rule trans :premises (@p8308 @p8290)) % 1.61/1.83 (step @p8310 :rule nary_cong :premises (@p7919 @p8309) :args (@t6090)) % 1.61/1.83 (step @p8311 :rule cong :premises (@p8310) :args ((forall @t757 @t6090))) % 1.61/1.83 (step @p8312 :rule bool-impl-elim :args (@t692 @t756)) % 1.61/1.83 (step @p8313 :rule cong :premises (@p8312) :args (@t758)) % 1.61/1.83 (step @p8314 :rule trans :premises (@p8313 @p8311)) % 1.61/1.83 (step @p8315 :rule refl :args (tptp.kfstsingleton)) % 1.61/1.83 (step @p8316 :rule cong :premises (@p8315 @p8314) :args (@t759)) % 1.61/1.83 (step @p8317 :rule eq_resolve :premises (@p160 @p8316)) % 1.61/1.83 (step @p8318 :rule cong :premises (@p8317 @p8275) :args (@t6091)) % 1.61/1.83 (step @p8319 :rule refl :args ((tptp.in @t747 @t621))) % 1.61/1.83 (step @p8320 :rule cong :premises (@p8017 @p8060) :args (@t2867)) % 1.61/1.83 (step @p8321 :rule trans :premises (@p8320 @p8319)) % 1.61/1.83 (step @p8322 :rule ho_cong :premises (@p895 @p8017)) % 1.61/1.83 (step @p8323 :rule ho_cong :premises (@p8322 @p8060)) % 1.61/1.83 (step @p8324 :rule cong :premises (@p8323 @p8321) :args ((= (_ (_ tptp.in @t2835) @t2840) @t2867))) % 1.61/1.83 (step @p8325 :rule symm :premises (@p8324)) % 1.61/1.83 (step @p8326 :rule refl :args (@t748)) % 1.61/1.83 (step @p8327 :rule eq_resolve :premises (@p8326 @p8325)) % 1.61/1.83 (step @p8328 :rule ho_cong :premises (@p895 @p8051)) % 1.61/1.83 (step @p8329 :rule ho_cong :premises (@p8328 @p8078)) % 1.61/1.83 (step @p8330 :rule trans :premises (@p8329 @p8327)) % 1.61/1.83 (step @p8331 :rule cong :premises (@p8330) :args (@t6092)) % 1.61/1.83 (step @p8332 :rule nary_cong :premises (@p8331 @p8208) :args (@t6093)) % 1.61/1.83 (step @p8333 :rule cong :premises (@p8332) :args ((forall @t297 @t6093))) % 1.61/1.83 (step @p8334 :rule bool-impl-elim :args (@t748 @t745)) % 1.61/1.83 (step @p8335 :rule cong :premises (@p8334) :args (@t749)) % 1.61/1.83 (step @p8336 :rule trans :premises (@p8335 @p8333)) % 1.61/1.83 (step @p8337 :rule refl :args (tptp.setukpairinjL1)) % 1.61/1.83 (step @p8338 :rule cong :premises (@p8337 @p8336) :args (@t750)) % 1.61/1.83 (step @p8339 :rule eq_resolve :premises (@p159 @p8338)) % 1.61/1.83 (step @p8340 :rule cong :premises (@p8339 @p8318) :args (@t6094)) % 1.61/1.83 (step @p8341 :rule cong :premises (@p5501 @p5893) :args (@t6095)) % 1.61/1.83 (step @p8342 :rule cong :premises (@p8341) :args (@t6096)) % 1.61/1.83 (step @p8343 :rule nary_cong :premises (@p8342 @p7069) :args (@t6097)) % 1.61/1.83 (step @p8344 :rule cong :premises (@p8343) :args ((forall @t135 @t6097))) % 1.61/1.83 (step @p8345 :rule bool-impl-elim :args (@t6095 @t129)) % 1.61/1.83 (step @p8346 :rule cong :premises (@p8345) :args ((forall @t135 (=> @t6095 @t129)))) % 1.61/1.83 (step @p8347 :rule trans :premises (@p8346 @p8344)) % 1.61/1.83 (step @p8348 :rule eq-symm :args (@t279 @t275)) % 1.61/1.83 (step @p8349 :rule cong :premises (@p8348 @p8200) :args (@t742)) % 1.61/1.83 (step @p8350 :rule cong :premises (@p8349) :args (@t743)) % 1.61/1.83 (step @p8351 :rule trans :premises (@p8350 @p8347)) % 1.61/1.83 (step @p8352 :rule refl :args (tptp.singletonsuniq)) % 1.61/1.83 (step @p8353 :rule cong :premises (@p8352 @p8351) :args (@t744)) % 1.61/1.83 (step @p8354 :rule eq_resolve :premises (@p158 @p8353)) % 1.61/1.83 (step @p8355 :rule cong :premises (@p8354 @p8340) :args (@t6098)) % 1.61/1.83 (step @p8356 :rule aci_norm :args ((= @t6100 @t2883))) % 1.61/1.83 (step @p8357 :rule cong :premises (@p8356) :args (@t6101)) % 1.61/1.83 (step @p8358 :rule quant-merge-prenex :args ((= (forall @t311 @t6103) @t6101))) % 1.61/1.83 (step @p8359 :rule refl :args (@t2716)) % 1.61/1.83 (step @p8360 :rule alpha_equiv :args (@t6104 (@list @t2870) @t3992)) % 1.61/1.83 (step @p8361 :rule refl :args (@t2882)) % 1.61/1.83 (step @p8362 :rule nary_cong :premises (@p8361 @p8360 @p8359) :args (@t6105)) % 1.61/1.83 (step @p8363 :rule quant-miniscope-or :args ((= @t6103 @t6105))) % 1.61/1.83 (step @p8364 :rule trans :premises (@p8363 @p8362)) % 1.61/1.83 (step @p8365 :rule symm :premises (@p8364)) % 1.61/1.83 (step @p8366 :rule cong :premises (@p8365) :args ((forall @t311 (or @t2882 @t2893 @t2716)))) % 1.61/1.83 (step @p8367 :rule trans :premises (@p8366 @p8358)) % 1.61/1.83 (step @p8368 :rule trans :premises (@p8367 @p8357)) % 1.61/1.83 (step @p8369 :rule refl :args (@t2893)) % 1.61/1.83 (step @p8370 :rule refl :args (@t2882)) % 1.61/1.83 (step @p8371 :rule nary_cong :premises (@p8370 @p8369 @p7021) :args (@t6106)) % 1.61/1.83 (step @p8372 :rule cong :premises (@p8371) :args ((forall @t311 @t6106))) % 1.61/1.83 (step @p8373 :rule trans :premises (@p8372 @p8368)) % 1.61/1.83 (step @p8374 :rule refl :args (@t2893)) % 1.61/1.83 (step @p8375 :rule nary_cong :premises (@p8361 @p8374 @p7039) :args (@t6107)) % 1.61/1.83 (step @p8376 :rule cong :premises (@p8375) :args ((forall @t311 @t6107))) % 1.61/1.83 (step @p8377 :rule trans :premises (@p8376 @p8373)) % 1.61/1.83 (step @p8378 :rule aci_norm :args ((= (or @t2882 (or @t2893 @t725)) @t6107))) % 1.61/1.83 (step @p8379 :rule bool-double-not-elim :args (@t2893)) % 1.61/1.83 (step @p8380 :rule nary_cong :premises (@p8379 @p7035) :args ((or @t6108 @t725))) % 1.61/1.83 (step @p8381 :rule bool-impl-elim :args (@t2894 @t725)) % 1.61/1.83 (step @p8382 :rule trans :premises (@p8381 @p8380)) % 1.61/1.83 (step @p8383 :rule nary_cong :premises (@p8361 @p8382) :args ((or @t2882 @t6109))) % 1.61/1.83 (step @p8384 :rule trans :premises (@p8383 @p8378)) % 1.61/1.83 (step @p8385 :rule bool-impl-elim :args (@t2881 @t6109)) % 1.61/1.83 (step @p8386 :rule trans :premises (@p8385 @p8384)) % 1.61/1.83 (step @p8387 :rule cong :premises (@p8386) :args ((forall @t311 (=> @t2881 @t6109)))) % 1.61/1.83 (step @p8388 :rule trans :premises (@p8387 @p8377)) % 1.61/1.83 (step @p8389 :rule nary_cong :premises (@p883 @p7060) :args (@t6110)) % 1.61/1.83 (step @p8390 :rule cong :premises (@p8389) :args ((forall @t9 @t6110))) % 1.61/1.83 (step @p8391 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 1.61/1.83 (step @p8392 :rule cong :premises (@p8391) :args (@t6111)) % 1.61/1.83 (step @p8393 :rule trans :premises (@p8392 @p8390)) % 1.61/1.83 (step @p8394 :rule cong :premises (@p8393) :args (@t6112)) % 1.61/1.83 (step @p8395 :rule exists-elim :args ((= @t309 @t6112))) % 1.61/1.83 (step @p8396 :rule trans :premises (@p8395 @p8394)) % 1.61/1.83 (step @p8397 :rule cong :premises (@p8396 @p7102) :args (@t738)) % 1.61/1.83 (step @p8398 :rule cong :premises (@p7101 @p8397) :args (@t739)) % 1.61/1.83 (step @p8399 :rule cong :premises (@p8398) :args (@t740)) % 1.61/1.83 (step @p8400 :rule trans :premises (@p8399 @p8388)) % 1.61/1.83 (step @p8401 :rule refl :args (tptp.ex1I2)) % 1.61/1.83 (step @p8402 :rule cong :premises (@p8401 @p8400) :args (@t741)) % 1.61/1.83 (step @p8403 :rule eq_resolve :premises (@p157 @p8402)) % 1.61/1.83 (step @p8404 :rule cong :premises (@p8403 @p8355) :args (@t6113)) % 1.61/1.83 (step @p8405 :rule lambda-elim :args ((= @t6114 @t143))) % 1.61/1.83 (step @p8406 :rule cong :premises (@p1882 @p8405) :args (@t6115)) % 1.61/1.83 (step @p8407 :rule refl :args (@t2891)) % 1.61/1.83 (step @p8408 :rule refl :args (@t2878)) % 1.61/1.83 (step @p8409 :rule nary_cong :premises (@p3756 @p8408 @p8407 @p8406) :args (@t6116)) % 1.61/1.83 (step @p8410 :rule cong :premises (@p8409) :args ((forall @t159 @t6116))) % 1.61/1.83 (step @p8411 :rule refl :args ((tptp.ex1 @t2 @t154))) % 1.61/1.83 (step @p8412 :rule cong :premises (@p7070) :args (@t6114)) % 1.61/1.83 (step @p8413 :rule cong :premises (@p1066 @p8412) :args (@t6115)) % 1.61/1.83 (step @p8414 :rule trans :premises (@p8413 @p8411)) % 1.61/1.83 (step @p8415 :rule ho_cong :premises (@p7031 @p8412)) % 1.61/1.83 (step @p8416 :rule cong :premises (@p8415 @p8414) :args ((= (_ @t724 @t6114) @t6115))) % 1.61/1.83 (step @p8417 :rule symm :premises (@p8416)) % 1.61/1.83 (step @p8418 :rule refl :args (@t729)) % 1.61/1.83 (step @p8419 :rule eq_resolve :premises (@p8418 @p8417)) % 1.61/1.83 (step @p8420 :rule cong :premises (@p7074) :args (@t154)) % 1.61/1.83 (step @p8421 :rule ho_cong :premises (@p7031 @p8420)) % 1.61/1.83 (step @p8422 :rule trans :premises (@p8421 @p8419)) % 1.61/1.83 (step @p8423 :rule refl :args (@t2891)) % 1.61/1.83 (step @p8424 :rule nary_cong :premises (@p883 @p7060 @p8423 @p8422) :args (@t6117)) % 1.61/1.83 (step @p8425 :rule cong :premises (@p8424) :args ((forall @t159 @t6117))) % 1.61/1.83 (step @p8426 :rule trans :premises (@p8425 @p8410)) % 1.61/1.83 (step @p8427 :rule aci_norm :args ((= (or @t197 @t6118) @t6117))) % 1.61/1.83 (step @p8428 :rule aci_norm :args ((= (or @t317 (or @t2891 @t729)) @t6118))) % 1.61/1.83 (step @p8429 :rule bool-impl-elim :args (@t2890 @t729)) % 1.61/1.83 (step @p8430 :rule nary_cong :premises (@p7088 @p8429) :args ((or @t317 @t6119))) % 1.61/1.83 (step @p8431 :rule trans :premises (@p8430 @p8428)) % 1.61/1.83 (step @p8432 :rule bool-impl-elim :args (@t144 @t6119)) % 1.61/1.83 (step @p8433 :rule trans :premises (@p8432 @p8431)) % 1.61/1.83 (step @p8434 :rule nary_cong :premises (@p3166 @p8433) :args ((or @t197 @t6120))) % 1.61/1.83 (step @p8435 :rule trans :premises (@p8434 @p8427)) % 1.61/1.83 (step @p8436 :rule bool-impl-elim :args (@t7 @t6120)) % 1.61/1.83 (step @p8437 :rule trans :premises (@p8436 @p8435)) % 1.61/1.83 (step @p8438 :rule cong :premises (@p8437) :args ((forall @t159 (=> @t7 @t6120)))) % 1.61/1.83 (step @p8439 :rule trans :premises (@p8438 @p8426)) % 1.61/1.83 (step @p8440 :rule refl :args (@t729)) % 1.61/1.83 (step @p8441 :rule aci_norm :args ((= (or @t3636 @t5843) @t5837))) % 1.61/1.83 (step @p8442 :rule nary_cong :premises (@p935 @p7087) :args ((or @t3636 @t166))) % 1.61/1.83 (step @p8443 :rule trans :premises (@p8442 @p8441)) % 1.61/1.83 (step @p8444 :rule bool-impl-elim :args (@t21 @t166)) % 1.61/1.83 (step @p8445 :rule trans :premises (@p8444 @p8443)) % 1.61/1.83 (step @p8446 :rule cong :premises (@p8445) :args ((forall @t70 (=> @t21 @t166)))) % 1.61/1.83 (step @p8447 :rule trans :premises (@p8446 @p7077)) % 1.61/1.83 (step @p8448 :rule eq-symm :args (@t19 @t4)) % 1.61/1.83 (step @p8449 :rule refl :args (@t153)) % 1.61/1.83 (step @p8450 :rule cong :premises (@p8449 @p8448) :args (@t730)) % 1.61/1.83 (step @p8451 :rule cong :premises (@p1269 @p8450) :args (@t731)) % 1.61/1.83 (step @p8452 :rule cong :premises (@p8451) :args (@t732)) % 1.61/1.83 (step @p8453 :rule trans :premises (@p8452 @p8447)) % 1.61/1.83 (step @p8454 :rule cong :premises (@p8453 @p8440) :args (@t733)) % 1.61/1.83 (step @p8455 :rule refl :args (@t144)) % 1.61/1.83 (step @p8456 :rule cong :premises (@p8455 @p8454) :args (@t734)) % 1.61/1.83 (step @p8457 :rule cong :premises (@p942 @p8456) :args (@t735)) % 1.61/1.83 (step @p8458 :rule cong :premises (@p8457) :args (@t736)) % 1.61/1.83 (step @p8459 :rule trans :premises (@p8458 @p8439)) % 1.61/1.83 (step @p8460 :rule refl :args (tptp.ex1I)) % 1.61/1.83 (step @p8461 :rule cong :premises (@p8460 @p8459) :args (@t737)) % 1.61/1.83 (step @p8462 :rule eq_resolve :premises (@p156 @p8461)) % 1.61/1.83 (step @p8463 :rule cong :premises (@p8462 @p8404) :args (@t6121)) % 1.61/1.83 (step @p8464 :rule refl :args (@t2894)) % 1.61/1.83 (step @p8465 :rule nary_cong :premises (@p7022 @p8464) :args (@t6122)) % 1.61/1.83 (step @p8466 :rule cong :premises (@p8465) :args ((forall @t311 @t6122))) % 1.61/1.83 (step @p8467 :rule refl :args (@t2894)) % 1.61/1.83 (step @p8468 :rule nary_cong :premises (@p7040 @p8467) :args (@t6123)) % 1.61/1.83 (step @p8469 :rule cong :premises (@p8468) :args ((forall @t311 @t6123))) % 1.61/1.83 (step @p8470 :rule trans :premises (@p8469 @p8466)) % 1.61/1.83 (step @p8471 :rule bool-impl-elim :args (@t725 @t2894)) % 1.61/1.83 (step @p8472 :rule cong :premises (@p8471) :args ((forall @t311 (=> @t725 @t2894)))) % 1.61/1.83 (step @p8473 :rule trans :premises (@p8472 @p8470)) % 1.61/1.83 (step @p8474 :rule cong :premises (@p7102 @p8396) :args (@t726)) % 1.61/1.83 (step @p8475 :rule cong :premises (@p8474) :args (@t727)) % 1.61/1.83 (step @p8476 :rule trans :premises (@p8475 @p8473)) % 1.61/1.83 (step @p8477 :rule refl :args (tptp.ex1E1)) % 1.61/1.83 (step @p8478 :rule cong :premises (@p8477 @p8476) :args (@t728)) % 1.61/1.83 (step @p8479 :rule eq_resolve :premises (@p155 @p8478)) % 1.61/1.83 (step @p8480 :rule cong :premises (@p8479 @p8463) :args (@t6124)) % 1.61/1.83 (step @p8481 :rule aci_norm :args ((= @t6126 @t2901))) % 1.61/1.83 (step @p8482 :rule cong :premises (@p8481) :args (@t6127)) % 1.61/1.83 (step @p8483 :rule quant-merge-prenex :args ((= (forall @t311 @t6129) @t6127))) % 1.61/1.83 (step @p8484 :rule refl :args (@t2900)) % 1.61/1.83 (step @p8485 :rule alpha_equiv :args (@t6130 (@list @t2896) @t3992)) % 1.61/1.83 (step @p8486 :rule nary_cong :premises (@p8361 @p8485 @p8484) :args (@t6131)) % 1.61/1.83 (step @p8487 :rule quant-miniscope-or :args ((= @t6129 @t6131))) % 1.61/1.83 (step @p8488 :rule trans :premises (@p8487 @p8486)) % 1.61/1.83 (step @p8489 :rule symm :premises (@p8488)) % 1.61/1.83 (step @p8490 :rule cong :premises (@p8489) :args ((forall @t311 (or @t2882 @t2893 @t2900)))) % 1.61/1.83 (step @p8491 :rule trans :premises (@p8490 @p8483)) % 1.61/1.83 (step @p8492 :rule trans :premises (@p8491 @p8482)) % 1.61/1.83 (step @p8493 :rule cong :premises (@p1882 @p7020) :args (@t6132)) % 1.61/1.83 (step @p8494 :rule cong :premises (@p8493) :args (@t6133)) % 1.61/1.83 (step @p8495 :rule nary_cong :premises (@p8370 @p8369 @p8494) :args (@t6134)) % 1.61/1.83 (step @p8496 :rule cong :premises (@p8495) :args ((forall @t311 @t6134))) % 1.61/1.83 (step @p8497 :rule trans :premises (@p8496 @p8492)) % 1.61/1.83 (step @p8498 :rule refl :args ((tptp.singleton @t306))) % 1.61/1.83 (step @p8499 :rule refl :args ((tptp.dsetconstr @t2 @t145))) % 1.61/1.83 (step @p8500 :rule cong :premises (@p1066 @p7028) :args (@t6132)) % 1.61/1.83 (step @p8501 :rule trans :premises (@p8500 @p8499)) % 1.61/1.83 (step @p8502 :rule cong :premises (@p8501) :args (@t6133)) % 1.61/1.83 (step @p8503 :rule trans :premises (@p8502 @p8498)) % 1.61/1.83 (step @p8504 :rule ho_cong :premises (@p2003 @p8501)) % 1.61/1.83 (step @p8505 :rule cong :premises (@p8504 @p8503) :args ((= (_ tptp.singleton @t6132) @t6133))) % 1.61/1.83 (step @p8506 :rule symm :premises (@p8505)) % 1.61/1.83 (step @p8507 :rule refl :args (@t716)) % 1.61/1.83 (step @p8508 :rule eq_resolve :premises (@p8507 @p8506)) % 1.61/1.83 (step @p8509 :rule refl :args (@t155)) % 1.61/1.83 (step @p8510 :rule ho_cong :premises (@p8509 @p7028)) % 1.61/1.83 (step @p8511 :rule cong :premises (@p8510 @p8501) :args ((= (_ @t155 @t5821) @t6132))) % 1.61/1.83 (step @p8512 :rule symm :premises (@p8511)) % 1.61/1.83 (step @p8513 :rule refl :args (@t306)) % 1.61/1.83 (step @p8514 :rule eq_resolve :premises (@p8513 @p8512)) % 1.61/1.83 (step @p8515 :rule ho_cong :premises (@p8509 @p7037)) % 1.61/1.83 (step @p8516 :rule trans :premises (@p8515 @p8514)) % 1.61/1.83 (step @p8517 :rule ho_cong :premises (@p2003 @p8516)) % 1.61/1.83 (step @p8518 :rule trans :premises (@p8517 @p8508)) % 1.61/1.83 (step @p8519 :rule nary_cong :premises (@p8361 @p8374 @p8518) :args (@t6135)) % 1.61/1.83 (step @p8520 :rule cong :premises (@p8519) :args ((forall @t311 @t6135))) % 1.61/1.83 (step @p8521 :rule trans :premises (@p8520 @p8497)) % 1.61/1.83 (step @p8522 :rule aci_norm :args ((= (or @t2882 (or @t2893 @t716)) @t6135))) % 1.61/1.83 (step @p8523 :rule nary_cong :premises (@p8379 @p8507) :args ((or @t6108 @t716))) % 1.61/1.83 (step @p8524 :rule bool-impl-elim :args (@t2894 @t716)) % 1.61/1.83 (step @p8525 :rule trans :premises (@p8524 @p8523)) % 1.61/1.83 (step @p8526 :rule nary_cong :premises (@p8361 @p8525) :args ((or @t2882 @t6136))) % 1.61/1.83 (step @p8527 :rule trans :premises (@p8526 @p8522)) % 1.61/1.83 (step @p8528 :rule bool-impl-elim :args (@t2881 @t6136)) % 1.61/1.83 (step @p8529 :rule trans :premises (@p8528 @p8527)) % 1.61/1.83 (step @p8530 :rule cong :premises (@p8529) :args ((forall @t311 (=> @t2881 @t6136)))) % 1.61/1.83 (step @p8531 :rule trans :premises (@p8530 @p8521)) % 1.61/1.83 (step @p8532 :rule refl :args (@t716)) % 1.61/1.83 (step @p8533 :rule cong :premises (@p8396 @p8532) :args (@t717)) % 1.61/1.83 (step @p8534 :rule cong :premises (@p7101 @p8533) :args (@t721)) % 1.61/1.83 (step @p8535 :rule cong :premises (@p8534) :args (@t722)) % 1.61/1.83 (step @p8536 :rule trans :premises (@p8535 @p8531)) % 1.61/1.83 (step @p8537 :rule refl :args (tptp.singletonprop)) % 1.61/1.83 (step @p8538 :rule cong :premises (@p8537 @p8536) :args (@t723)) % 1.61/1.83 (step @p8539 :rule eq_resolve :premises (@p154 @p8538)) % 1.61/1.83 (step @p8540 :rule cong :premises (@p8539 @p8480) :args (@t6137)) % 1.61/1.83 (step @p8541 :rule refl :args ((tptp.setunion @t279))) % 1.61/1.83 (step @p8542 :rule cong :premises (@p5889) :args (@t2904)) % 1.61/1.83 (step @p8543 :rule trans :premises (@p8542 @p8541)) % 1.61/1.83 (step @p8544 :rule ho_cong :premises (@p7425 @p5889)) % 1.61/1.83 (step @p8545 :rule cong :premises (@p8544 @p8543) :args ((= (_ tptp.setunion @t2585) @t2904))) % 1.61/1.83 (step @p8546 :rule symm :premises (@p8545)) % 1.61/1.83 (step @p8547 :rule refl :args (@t713)) % 1.61/1.83 (step @p8548 :rule eq_resolve :premises (@p8547 @p8546)) % 1.61/1.83 (step @p8549 :rule ho_cong :premises (@p7425 @p5893)) % 1.61/1.83 (step @p8550 :rule trans :premises (@p8549 @p8548)) % 1.61/1.83 (step @p8551 :rule cong :premises (@p3047 @p8550) :args (@t6138)) % 1.61/1.83 (step @p8552 :rule cong :premises (@p8551) :args ((forall @t9 @t6138))) % 1.61/1.83 (step @p8553 :rule eq-symm :args (@t713 @t4)) % 1.61/1.83 (step @p8554 :rule cong :premises (@p8553) :args (@t714)) % 1.61/1.83 (step @p8555 :rule trans :premises (@p8554 @p8552)) % 1.61/1.83 (step @p8556 :rule refl :args (tptp.setunionsingleton)) % 1.61/1.83 (step @p8557 :rule cong :premises (@p8556 @p8555) :args (@t715)) % 1.61/1.83 (step @p8558 :rule eq_resolve :premises (@p153 @p8557)) % 1.61/1.83 (step @p8559 :rule cong :premises (@p8558 @p8540) :args (@t6139)) % 1.61/1.83 (step @p8560 :rule refl :args ((tptp.subset @t2 @t706))) % 1.61/1.83 (step @p8561 :rule refl :args ((tptp.setunion @t705))) % 1.61/1.83 (step @p8562 :rule refl :args (@t2906)) % 1.61/1.83 (step @p8563 :rule cong :premises (@p8562) :args (@t2907)) % 1.61/1.83 (step @p8564 :rule trans :premises (@p8563 @p8561)) % 1.61/1.83 (step @p8565 :rule cong :premises (@p1066 @p8564) :args (@t2908)) % 1.61/1.83 (step @p8566 :rule trans :premises (@p8565 @p8560)) % 1.61/1.83 (step @p8567 :rule refl :args (@t421)) % 1.61/1.83 (step @p8568 :rule ho_cong :premises (@p8567 @p8564)) % 1.61/1.83 (step @p8569 :rule cong :premises (@p8568 @p8566) :args ((= (_ @t421 @t2907) @t2908))) % 1.61/1.83 (step @p8570 :rule symm :premises (@p8569)) % 1.61/1.83 (step @p8571 :rule refl :args (@t710)) % 1.61/1.83 (step @p8572 :rule eq_resolve :premises (@p8571 @p8570)) % 1.61/1.83 (step @p8573 :rule ho_cong :premises (@p7425 @p8562)) % 1.61/1.83 (step @p8574 :rule cong :premises (@p8573 @p8564) :args ((= (_ tptp.setunion @t2906) @t2907))) % 1.61/1.83 (step @p8575 :rule symm :premises (@p8574)) % 1.61/1.83 (step @p8576 :rule refl :args (@t706)) % 1.61/1.83 (step @p8577 :rule eq_resolve :premises (@p8576 @p8575)) % 1.61/1.83 (step @p8578 :rule refl :args (@t705)) % 1.61/1.83 (step @p8579 :rule cong :premises (@p8578 @p8562) :args ((= @t705 @t2906))) % 1.61/1.83 (step @p8580 :rule symm :premises (@p8579)) % 1.61/1.83 (step @p8581 :rule eq_resolve :premises (@p8578 @p8580)) % 1.61/1.83 (step @p8582 :rule ho_cong :premises (@p7425 @p8581)) % 1.61/1.83 (step @p8583 :rule trans :premises (@p8582 @p8577)) % 1.61/1.83 (step @p8584 :rule ho_cong :premises (@p8567 @p8583)) % 1.61/1.83 (step @p8585 :rule trans :premises (@p8584 @p8572)) % 1.61/1.83 (step @p8586 :rule cong :premises (@p8585) :args (@t711)) % 1.61/1.83 (step @p8587 :rule refl :args (tptp.setunionsingleton2)) % 1.61/1.83 (step @p8588 :rule cong :premises (@p8587 @p8586) :args (@t712)) % 1.61/1.83 (step @p8589 :rule eq_resolve :premises (@p152 @p8588)) % 1.61/1.83 (step @p8590 :rule cong :premises (@p8589 @p8559) :args (@t6140)) % 1.61/1.83 (step @p8591 :rule refl :args ((tptp.subset @t706 @t2))) % 1.61/1.83 (step @p8592 :rule cong :premises (@p8564 @p1066) :args (@t2910)) % 1.61/1.83 (step @p8593 :rule trans :premises (@p8592 @p8591)) % 1.61/1.83 (step @p8594 :rule ho_cong :premises (@p2731 @p8564)) % 1.61/1.83 (step @p8595 :rule ho_cong :premises (@p8594 @p1066)) % 1.61/1.83 (step @p8596 :rule cong :premises (@p8595 @p8593) :args ((= (_ (_ tptp.subset @t2907) @t2) @t2910))) % 1.61/1.83 (step @p8597 :rule symm :premises (@p8596)) % 1.61/1.83 (step @p8598 :rule refl :args (@t707)) % 1.61/1.83 (step @p8599 :rule eq_resolve :premises (@p8598 @p8597)) % 1.61/1.83 (step @p8600 :rule ho_cong :premises (@p2731 @p8583)) % 1.61/1.83 (step @p8601 :rule ho_cong :premises (@p8600 @p1066)) % 1.61/1.83 (step @p8602 :rule trans :premises (@p8601 @p8599)) % 1.61/1.83 (step @p8603 :rule cong :premises (@p8602) :args (@t708)) % 1.61/1.83 (step @p8604 :rule refl :args (tptp.setunionsingleton1)) % 1.61/1.83 (step @p8605 :rule cong :premises (@p8604 @p8603) :args (@t709)) % 1.61/1.83 (step @p8606 :rule eq_resolve :premises (@p151 @p8605)) % 1.61/1.83 (step @p8607 :rule cong :premises (@p8606 @p8590) :args (@t6141)) % 1.61/1.83 (step @p8608 :rule refl :args (@t2913)) % 1.61/1.83 (step @p8609 :rule refl :args ((tptp.in @t4 @t43))) % 1.61/1.83 (step @p8610 :rule refl :args (@t2914)) % 1.61/1.83 (step @p8611 :rule cong :premises (@p3047 @p8610) :args (@t2915)) % 1.61/1.83 (step @p8612 :rule trans :premises (@p8611 @p8609)) % 1.61/1.83 (step @p8613 :rule ho_cong :premises (@p3050 @p8610)) % 1.61/1.83 (step @p8614 :rule cong :premises (@p8613 @p8612) :args ((= (_ @t5 @t2914) @t2915))) % 1.61/1.83 (step @p8615 :rule symm :premises (@p8614)) % 1.61/1.83 (step @p8616 :rule refl :args (@t44)) % 1.61/1.83 (step @p8617 :rule eq_resolve :premises (@p8616 @p8615)) % 1.61/1.83 (step @p8618 :rule refl :args (@t43)) % 1.61/1.83 (step @p8619 :rule cong :premises (@p8618 @p8610) :args ((= @t43 @t2914))) % 1.61/1.83 (step @p8620 :rule symm :premises (@p8619)) % 1.61/1.83 (step @p8621 :rule eq_resolve :premises (@p8618 @p8620)) % 1.61/1.83 (step @p8622 :rule ho_cong :premises (@p3050 @p8621)) % 1.61/1.83 (step @p8623 :rule trans :premises (@p8622 @p8617)) % 1.61/1.83 (step @p8624 :rule cong :premises (@p8623) :args (@t6142)) % 1.61/1.83 (step @p8625 :rule nary_cong :premises (@p8624 @p8608) :args (@t6143)) % 1.61/1.83 (step @p8626 :rule cong :premises (@p8625) :args ((forall @t46 @t6143))) % 1.61/1.83 (step @p8627 :rule bool-impl-elim :args (@t44 @t2913)) % 1.61/1.83 (step @p8628 :rule cong :premises (@p8627) :args ((forall @t46 (=> @t44 @t2913)))) % 1.61/1.83 (step @p8629 :rule trans :premises (@p8628 @p8626)) % 1.61/1.83 (step @p8630 :rule refl :args (@t2912)) % 1.61/1.83 (step @p8631 :rule refl :args (@t698)) % 1.61/1.83 (step @p8632 :rule cong :premises (@p8631 @p8630) :args ((= @t698 @t2912))) % 1.61/1.83 (step @p8633 :rule symm :premises (@p8632)) % 1.61/1.83 (step @p8634 :rule eq_resolve :premises (@p8631 @p8633)) % 1.61/1.83 (step @p8635 :rule cong :premises (@p8634) :args (@t6144)) % 1.61/1.83 (step @p8636 :rule nary_cong :premises (@p8635 @p3854) :args (@t6145)) % 1.61/1.83 (step @p8637 :rule cong :premises (@p8636) :args ((forall @t700 @t6145))) % 1.61/1.83 (step @p8638 :rule bool-and-de-morgan :args (@t698 @t696 true)) % 1.61/1.83 (step @p8639 :rule cong :premises (@p8638) :args (@t6146)) % 1.61/1.83 (step @p8640 :rule trans :premises (@p8639 @p8637)) % 1.61/1.83 (step @p8641 :rule cong :premises (@p8640) :args (@t6147)) % 1.61/1.83 (step @p8642 :rule exists-elim :args ((= @t701 @t6147))) % 1.61/1.83 (step @p8643 :rule trans :premises (@p8642 @p8641)) % 1.61/1.83 (step @p8644 :rule refl :args (@t44)) % 1.61/1.83 (step @p8645 :rule cong :premises (@p8644 @p8643) :args (@t702)) % 1.61/1.83 (step @p8646 :rule cong :premises (@p8645) :args (@t703)) % 1.61/1.83 (step @p8647 :rule trans :premises (@p8646 @p8629)) % 1.61/1.83 (step @p8648 :rule refl :args (tptp.setunionE2)) % 1.61/1.83 (step @p8649 :rule cong :premises (@p8648 @p8647) :args (@t704)) % 1.61/1.83 (step @p8650 :rule eq_resolve :premises (@p150 @p8649)) % 1.61/1.83 (step @p8651 :rule cong :premises (@p8650 @p8607) :args (@t6148)) % 1.61/1.83 (step @p8652 :rule nary_cong :premises (@p7737 @p7918) :args (@t6149)) % 1.61/1.83 (step @p8653 :rule cong :premises (@p8652) :args ((forall @t689 @t6149))) % 1.61/1.83 (step @p8654 :rule bool-impl-elim :args (@t687 @t692)) % 1.61/1.83 (step @p8655 :rule cong :premises (@p8654) :args (@t693)) % 1.61/1.83 (step @p8656 :rule trans :premises (@p8655 @p8653)) % 1.61/1.83 (step @p8657 :rule refl :args (tptp.cartprodmempair)) % 1.61/1.83 (step @p8658 :rule cong :premises (@p8657 @p8656) :args (@t694)) % 1.61/1.83 (step @p8659 :rule eq_resolve :premises (@p149 @p8658)) % 1.61/1.83 (step @p8660 :rule cong :premises (@p8659 @p8651) :args (@t6150)) % 1.61/1.83 (step @p8661 :rule refl :args (@t2924)) % 1.61/1.83 (step @p8662 :rule nary_cong :premises (@p7737 @p8661) :args (@t6151)) % 1.61/1.83 (step @p8663 :rule cong :premises (@p8662) :args ((forall @t689 @t6151))) % 1.61/1.83 (step @p8664 :rule bool-impl-elim :args (@t687 @t2924)) % 1.61/1.83 (step @p8665 :rule cong :premises (@p8664) :args ((forall @t689 (=> @t687 @t2924)))) % 1.61/1.83 (step @p8666 :rule trans :premises (@p8665 @p8663)) % 1.61/1.83 (step @p8667 :rule aci_norm :args ((= @t6153 @t2922))) % 1.61/1.83 (step @p8668 :rule cong :premises (@p8667) :args (@t6154)) % 1.61/1.83 (step @p8669 :rule quant-merge-prenex :args ((= (forall @t9 @t6156) @t6154))) % 1.61/1.83 (step @p8670 :rule alpha_equiv :args (@t6157 (@list @t2919) @t3627)) % 1.61/1.83 (step @p8671 :rule nary_cong :premises (@p869 @p8670) :args (@t6158)) % 1.61/1.83 (step @p8672 :rule quant-miniscope-or :args ((= @t6156 @t6158))) % 1.61/1.83 (step @p8673 :rule trans :premises (@p8672 @p8671)) % 1.61/1.83 (step @p8674 :rule symm :premises (@p8673)) % 1.61/1.83 (step @p8675 :rule cong :premises (@p8674) :args ((forall @t9 (or @t2125 @t6159)))) % 1.61/1.83 (step @p8676 :rule trans :premises (@p8675 @p8669)) % 1.61/1.83 (step @p8677 :rule trans :premises (@p8676 @p8668)) % 1.61/1.83 (step @p8678 :rule refl :args (@t6159)) % 1.61/1.83 (step @p8679 :rule nary_cong :premises (@p883 @p8678) :args (@t6160)) % 1.61/1.83 (step @p8680 :rule cong :premises (@p8679) :args ((forall @t9 @t6160))) % 1.61/1.83 (step @p8681 :rule trans :premises (@p8680 @p8677)) % 1.61/1.83 (step @p8682 :rule bool-double-not-elim :args (@t6159)) % 1.61/1.83 (step @p8683 :rule nary_cong :premises (@p3166 @p8682) :args ((or @t197 (not @t6161)))) % 1.61/1.83 (step @p8684 :rule bool-and-de-morgan :args (@t7 @t6161 true)) % 1.61/1.83 (step @p8685 :rule trans :premises (@p8684 @p8683)) % 1.61/1.83 (step @p8686 :rule cong :premises (@p8685) :args (@t6163)) % 1.61/1.83 (step @p8687 :rule trans :premises (@p8686 @p8681)) % 1.61/1.83 (step @p8688 :rule cong :premises (@p8687) :args (@t6164)) % 1.61/1.83 (step @p8689 :rule exists-elim :args ((= (exists @t9 @t6162) @t6164))) % 1.61/1.83 (step @p8690 :rule trans :premises (@p8689 @p8688)) % 1.61/1.83 (step @p8691 :rule cong :premises (@p7724 @p909) :args (@t681)) % 1.61/1.83 (step @p8692 :rule cong :premises (@p8691) :args (@t6165)) % 1.61/1.83 (step @p8693 :rule nary_cong :premises (@p2089 @p8692) :args (@t6166)) % 1.61/1.83 (step @p8694 :rule cong :premises (@p8693) :args ((forall @t70 @t6166))) % 1.61/1.83 (step @p8695 :rule bool-and-de-morgan :args (@t354 @t681 true)) % 1.61/1.83 (step @p8696 :rule cong :premises (@p8695) :args (@t6167)) % 1.61/1.83 (step @p8697 :rule trans :premises (@p8696 @p8694)) % 1.61/1.83 (step @p8698 :rule cong :premises (@p8697) :args (@t6168)) % 1.61/1.83 (step @p8699 :rule exists-elim :args ((= @t683 @t6168))) % 1.61/1.83 (step @p8700 :rule trans :premises (@p8699 @p8698)) % 1.61/1.83 (step @p8701 :rule nary_cong :premises (@p942 @p8700) :args (@t684)) % 1.61/1.83 (step @p8702 :rule cong :premises (@p8701) :args (@t685)) % 1.61/1.83 (step @p8703 :rule trans :premises (@p8702 @p8690)) % 1.61/1.83 (step @p8704 :rule cong :premises (@p7744 @p8703) :args (@t688)) % 1.61/1.83 (step @p8705 :rule cong :premises (@p8704) :args (@t690)) % 1.61/1.83 (step @p8706 :rule trans :premises (@p8705 @p8666)) % 1.61/1.83 (step @p8707 :rule refl :args (tptp.cartprodmempair1)) % 1.61/1.83 (step @p8708 :rule cong :premises (@p8707 @p8706) :args (@t691)) % 1.61/1.83 (step @p8709 :rule eq_resolve :premises (@p148 @p8708)) % 1.61/1.83 (step @p8710 :rule cong :premises (@p8709 @p8660) :args (@t6169)) % 1.61/1.83 (step @p8711 :rule aci_norm :args ((= @t6171 @t2929))) % 1.61/1.83 (step @p8712 :rule cong :premises (@p8711) :args (@t6172)) % 1.61/1.83 (step @p8713 :rule quant-merge-prenex :args ((= (forall @t245 @t6174) @t6172))) % 1.61/1.83 (step @p8714 :rule alpha_equiv :args (@t6175 (@list @t2926) @t3627)) % 1.61/1.83 (step @p8715 :rule nary_cong :premises (@p869 @p8714) :args (@t6176)) % 1.61/1.83 (step @p8716 :rule quant-miniscope-or :args ((= @t6174 @t6176))) % 1.61/1.83 (step @p8717 :rule trans :premises (@p8716 @p8715)) % 1.61/1.83 (step @p8718 :rule symm :premises (@p8717)) % 1.61/1.83 (step @p8719 :rule cong :premises (@p8718) :args ((forall @t245 (or @t2125 @t6177)))) % 1.61/1.83 (step @p8720 :rule trans :premises (@p8719 @p8713)) % 1.61/1.83 (step @p8721 :rule trans :premises (@p8720 @p8712)) % 1.61/1.83 (step @p8722 :rule refl :args (@t6177)) % 1.61/1.83 (step @p8723 :rule nary_cong :premises (@p883 @p8722) :args (@t6178)) % 1.61/1.83 (step @p8724 :rule cong :premises (@p8723) :args ((forall @t245 @t6178))) % 1.61/1.83 (step @p8725 :rule trans :premises (@p8724 @p8721)) % 1.61/1.83 (step @p8726 :rule bool-impl-elim :args (@t7 @t6177)) % 1.61/1.83 (step @p8727 :rule cong :premises (@p8726) :args ((forall @t245 (=> @t7 @t6177)))) % 1.61/1.83 (step @p8728 :rule trans :premises (@p8727 @p8725)) % 1.61/1.83 (step @p8729 :rule nary_cong :premises (@p2089 @p7873) :args (@t6179)) % 1.61/1.83 (step @p8730 :rule cong :premises (@p8729) :args ((forall @t70 @t6179))) % 1.61/1.83 (step @p8731 :rule bool-impl-elim :args (@t354 @t676)) % 1.61/1.83 (step @p8732 :rule cong :premises (@p8731) :args (@t677)) % 1.61/1.83 (step @p8733 :rule trans :premises (@p8732 @p8730)) % 1.61/1.83 (step @p8734 :rule cong :premises (@p942 @p8733) :args (@t678)) % 1.61/1.83 (step @p8735 :rule cong :premises (@p8734) :args (@t679)) % 1.61/1.83 (step @p8736 :rule trans :premises (@p8735 @p8728)) % 1.61/1.83 (step @p8737 :rule refl :args (tptp.cartprodpairin)) % 1.61/1.83 (step @p8738 :rule cong :premises (@p8737 @p8736) :args (@t680)) % 1.61/1.83 (step @p8739 :rule eq_resolve :premises (@p147 @p8738)) % 1.61/1.83 (step @p8740 :rule cong :premises (@p8739 @p8710) :args (@t6180)) % 1.61/1.83 (step @p8741 :rule aci_norm :args ((= @t6182 @t2938))) % 1.61/1.83 (step @p8742 :rule cong :premises (@p8741) :args (@t6183)) % 1.61/1.83 (step @p8743 :rule quant-merge-prenex :args ((= (forall @t245 @t6185) @t6183))) % 1.61/1.83 (step @p8744 :rule alpha_equiv :args (@t6186 (@list @t2935) @t3627)) % 1.61/1.83 (step @p8745 :rule nary_cong :premises (@p869 @p8744) :args (@t6187)) % 1.61/1.83 (step @p8746 :rule quant-miniscope-or :args ((= @t6185 @t6187))) % 1.61/1.83 (step @p8747 :rule trans :premises (@p8746 @p8745)) % 1.61/1.83 (step @p8748 :rule symm :premises (@p8747)) % 1.61/1.83 (step @p8749 :rule cong :premises (@p8748) :args ((forall @t245 (or @t2125 @t6189)))) % 1.61/1.83 (step @p8750 :rule trans :premises (@p8749 @p8743)) % 1.61/1.83 (step @p8751 :rule trans :premises (@p8750 @p8742)) % 1.61/1.83 (step @p8752 :rule refl :args (@t6189)) % 1.61/1.83 (step @p8753 :rule nary_cong :premises (@p883 @p8752) :args (@t6190)) % 1.61/1.83 (step @p8754 :rule cong :premises (@p8753) :args ((forall @t245 @t6190))) % 1.61/1.83 (step @p8755 :rule trans :premises (@p8754 @p8751)) % 1.61/1.83 (step @p8756 :rule bool-impl-elim :args (@t7 @t6189)) % 1.61/1.83 (step @p8757 :rule cong :premises (@p8756) :args ((forall @t245 (=> @t7 @t6189)))) % 1.61/1.83 (step @p8758 :rule trans :premises (@p8757 @p8755)) % 1.61/1.83 (step @p8759 :rule refl :args ((tptp.in @t633 @t663))) % 1.61/1.83 (step @p8760 :rule refl :args ((tptp.powerset @t644))) % 1.61/1.83 (step @p8761 :rule refl :args ((tptp.powerset @t494))) % 1.61/1.83 (step @p8762 :rule refl :args (@t2932)) % 1.61/1.83 (step @p8763 :rule cong :premises (@p8762) :args (@t2933)) % 1.61/1.83 (step @p8764 :rule trans :premises (@p8763 @p8761)) % 1.61/1.83 (step @p8765 :rule cong :premises (@p8764) :args (@t2934)) % 1.61/1.83 (step @p8766 :rule trans :premises (@p8765 @p8760)) % 1.61/1.83 (step @p8767 :rule cong :premises (@p892 @p8766) :args (@t6188)) % 1.61/1.83 (step @p8768 :rule trans :premises (@p8767 @p8759)) % 1.61/1.83 (step @p8769 :rule ho_cong :premises (@p896 @p8766)) % 1.61/1.83 (step @p8770 :rule cong :premises (@p8769 @p8768) :args ((= (_ @t3634 @t2934) @t6188))) % 1.61/1.83 (step @p8771 :rule symm :premises (@p8770)) % 1.61/1.83 (step @p8772 :rule refl :args (@t670)) % 1.61/1.83 (step @p8773 :rule eq_resolve :premises (@p8772 @p8771)) % 1.61/1.83 (step @p8774 :rule ho_cong :premises (@p2193 @p8764)) % 1.61/1.83 (step @p8775 :rule cong :premises (@p8774 @p8766) :args ((= (_ tptp.powerset @t2933) @t2934))) % 1.61/1.83 (step @p8776 :rule symm :premises (@p8775)) % 1.61/1.83 (step @p8777 :rule refl :args (@t663)) % 1.61/1.83 (step @p8778 :rule eq_resolve :premises (@p8777 @p8776)) % 1.61/1.83 (step @p8779 :rule ho_cong :premises (@p2193 @p8762)) % 1.61/1.83 (step @p8780 :rule cong :premises (@p8779 @p8764) :args ((= (_ tptp.powerset @t2932) @t2933))) % 1.61/1.83 (step @p8781 :rule symm :premises (@p8780)) % 1.61/1.83 (step @p8782 :rule refl :args (@t644)) % 1.61/1.83 (step @p8783 :rule eq_resolve :premises (@p8782 @p8781)) % 1.61/1.83 (step @p8784 :rule refl :args (@t494)) % 1.61/1.83 (step @p8785 :rule cong :premises (@p8784 @p8762) :args ((= @t494 @t2932))) % 1.61/1.83 (step @p8786 :rule symm :premises (@p8785)) % 1.61/1.83 (step @p8787 :rule eq_resolve :premises (@p8784 @p8786)) % 1.61/1.83 (step @p8788 :rule ho_cong :premises (@p2193 @p8787)) % 1.61/1.83 (step @p8789 :rule trans :premises (@p8788 @p8783)) % 1.61/1.83 (step @p8790 :rule ho_cong :premises (@p2193 @p8789)) % 1.61/1.83 (step @p8791 :rule trans :premises (@p8790 @p8778)) % 1.61/1.83 (step @p8792 :rule ho_cong :premises (@p910 @p8791)) % 1.61/1.83 (step @p8793 :rule trans :premises (@p8792 @p8773)) % 1.61/1.83 (step @p8794 :rule nary_cong :premises (@p2089 @p8793) :args (@t6191)) % 1.61/1.83 (step @p8795 :rule cong :premises (@p8794) :args ((forall @t70 @t6191))) % 1.61/1.83 (step @p8796 :rule bool-impl-elim :args (@t354 @t670)) % 1.61/1.83 (step @p8797 :rule cong :premises (@p8796) :args (@t671)) % 1.61/1.83 (step @p8798 :rule trans :premises (@p8797 @p8795)) % 1.61/1.83 (step @p8799 :rule cong :premises (@p942 @p8798) :args (@t672)) % 1.61/1.83 (step @p8800 :rule cong :premises (@p8799) :args (@t673)) % 1.61/1.83 (step @p8801 :rule trans :premises (@p8800 @p8758)) % 1.61/1.83 (step @p8802 :rule refl :args (tptp.ubforcartprodlem3)) % 1.61/1.83 (step @p8803 :rule cong :premises (@p8802 @p8801) :args (@t674)) % 1.61/1.83 (step @p8804 :rule eq_resolve :premises (@p146 @p8803)) % 1.61/1.83 (step @p8805 :rule cong :premises (@p8804 @p8740) :args (@t6192)) % 1.61/1.83 (step @p8806 :rule aci_norm :args ((= @t6194 @t2944))) % 1.61/1.83 (step @p8807 :rule cong :premises (@p8806) :args (@t6195)) % 1.61/1.83 (step @p8808 :rule quant-merge-prenex :args ((= (forall @t245 @t6197) @t6195))) % 1.61/1.83 (step @p8809 :rule alpha_equiv :args (@t6198 (@list @t2941) @t3627)) % 1.61/1.83 (step @p8810 :rule nary_cong :premises (@p869 @p8809) :args (@t6199)) % 1.61/1.83 (step @p8811 :rule quant-miniscope-or :args ((= @t6197 @t6199))) % 1.61/1.83 (step @p8812 :rule trans :premises (@p8811 @p8810)) % 1.61/1.83 (step @p8813 :rule symm :premises (@p8812)) % 1.61/1.83 (step @p8814 :rule cong :premises (@p8813) :args ((forall @t245 (or @t2125 @t6201)))) % 1.61/1.83 (step @p8815 :rule trans :premises (@p8814 @p8808)) % 1.61/1.83 (step @p8816 :rule trans :premises (@p8815 @p8807)) % 1.61/1.83 (step @p8817 :rule refl :args (@t6201)) % 1.61/1.83 (step @p8818 :rule nary_cong :premises (@p883 @p8817) :args (@t6202)) % 1.61/1.83 (step @p8819 :rule cong :premises (@p8818) :args ((forall @t245 @t6202))) % 1.61/1.83 (step @p8820 :rule trans :premises (@p8819 @p8816)) % 1.61/1.83 (step @p8821 :rule bool-impl-elim :args (@t7 @t6201)) % 1.61/1.83 (step @p8822 :rule cong :premises (@p8821) :args ((forall @t245 (=> @t7 @t6201)))) % 1.61/1.83 (step @p8823 :rule trans :premises (@p8822 @p8820)) % 1.61/1.83 (step @p8824 :rule refl :args ((tptp.in @t621 @t663))) % 1.61/1.83 (step @p8825 :rule cong :premises (@p8060 @p8766) :args (@t6200)) % 1.61/1.83 (step @p8826 :rule trans :premises (@p8825 @p8824)) % 1.61/1.83 (step @p8827 :rule ho_cong :premises (@p895 @p8060)) % 1.61/1.83 (step @p8828 :rule ho_cong :premises (@p8827 @p8766)) % 1.61/1.83 (step @p8829 :rule cong :premises (@p8828 @p8826) :args ((= (_ (_ tptp.in @t2840) @t2934) @t6200))) % 1.61/1.83 (step @p8830 :rule symm :premises (@p8829)) % 1.61/1.83 (step @p8831 :rule refl :args (@t664)) % 1.61/1.83 (step @p8832 :rule eq_resolve :premises (@p8831 @p8830)) % 1.61/1.83 (step @p8833 :rule ho_cong :premises (@p895 @p8078)) % 1.61/1.83 (step @p8834 :rule ho_cong :premises (@p8833 @p8791)) % 1.61/1.83 (step @p8835 :rule trans :premises (@p8834 @p8832)) % 1.61/1.83 (step @p8836 :rule nary_cong :premises (@p2089 @p8835) :args (@t6203)) % 1.61/1.83 (step @p8837 :rule cong :premises (@p8836) :args ((forall @t70 @t6203))) % 1.61/1.83 (step @p8838 :rule bool-impl-elim :args (@t354 @t664)) % 1.61/1.83 (step @p8839 :rule cong :premises (@p8838) :args (@t665)) % 1.61/1.83 (step @p8840 :rule trans :premises (@p8839 @p8837)) % 1.61/1.83 (step @p8841 :rule cong :premises (@p942 @p8840) :args (@t666)) % 1.61/1.83 (step @p8842 :rule cong :premises (@p8841) :args (@t667)) % 1.61/1.83 (step @p8843 :rule trans :premises (@p8842 @p8823)) % 1.61/1.83 (step @p8844 :rule refl :args (tptp.ubforcartprodlem2)) % 1.61/1.83 (step @p8845 :rule cong :premises (@p8844 @p8843) :args (@t668)) % 1.61/1.83 (step @p8846 :rule eq_resolve :premises (@p145 @p8845)) % 1.61/1.83 (step @p8847 :rule cong :premises (@p8846 @p8805) :args (@t6204)) % 1.61/1.83 (step @p8848 :rule aci_norm :args ((= @t6206 @t2950))) % 1.61/1.83 (step @p8849 :rule cong :premises (@p8848) :args (@t6207)) % 1.61/1.83 (step @p8850 :rule quant-merge-prenex :args ((= (forall @t245 @t6209) @t6207))) % 1.61/1.83 (step @p8851 :rule alpha_equiv :args (@t6210 (@list @t2947) @t3627)) % 1.61/1.83 (step @p8852 :rule nary_cong :premises (@p869 @p8851) :args (@t6211)) % 1.61/1.83 (step @p8853 :rule quant-miniscope-or :args ((= @t6209 @t6211))) % 1.61/1.83 (step @p8854 :rule trans :premises (@p8853 @p8852)) % 1.61/1.83 (step @p8855 :rule symm :premises (@p8854)) % 1.61/1.83 (step @p8856 :rule cong :premises (@p8855) :args ((forall @t245 (or @t2125 @t6213)))) % 1.61/1.83 (step @p8857 :rule trans :premises (@p8856 @p8850)) % 1.61/1.83 (step @p8858 :rule trans :premises (@p8857 @p8849)) % 1.61/1.83 (step @p8859 :rule refl :args (@t6213)) % 1.61/1.83 (step @p8860 :rule nary_cong :premises (@p883 @p8859) :args (@t6214)) % 1.61/1.83 (step @p8861 :rule cong :premises (@p8860) :args ((forall @t245 @t6214))) % 1.61/1.83 (step @p8862 :rule trans :premises (@p8861 @p8858)) % 1.61/1.83 (step @p8863 :rule bool-impl-elim :args (@t7 @t6213)) % 1.61/1.83 (step @p8864 :rule cong :premises (@p8863) :args ((forall @t245 (=> @t7 @t6213)))) % 1.61/1.83 (step @p8865 :rule trans :premises (@p8864 @p8862)) % 1.61/1.83 (step @p8866 :rule refl :args ((tptp.subset @t621 @t644))) % 1.61/1.83 (step @p8867 :rule cong :premises (@p8060 @p8764) :args (@t6212)) % 1.61/1.83 (step @p8868 :rule trans :premises (@p8867 @p8866)) % 1.61/1.83 (step @p8869 :rule ho_cong :premises (@p2731 @p8060)) % 1.61/1.83 (step @p8870 :rule ho_cong :premises (@p8869 @p8764)) % 1.61/1.83 (step @p8871 :rule cong :premises (@p8870 @p8868) :args ((= (_ (_ tptp.subset @t2840) @t2933) @t6212))) % 1.61/1.83 (step @p8872 :rule symm :premises (@p8871)) % 1.61/1.83 (step @p8873 :rule refl :args (@t658)) % 1.61/1.83 (step @p8874 :rule eq_resolve :premises (@p8873 @p8872)) % 1.61/1.83 (step @p8875 :rule ho_cong :premises (@p2731 @p8078)) % 1.61/1.83 (step @p8876 :rule ho_cong :premises (@p8875 @p8789)) % 1.61/1.83 (step @p8877 :rule trans :premises (@p8876 @p8874)) % 1.61/1.83 (step @p8878 :rule nary_cong :premises (@p2089 @p8877) :args (@t6215)) % 1.61/1.83 (step @p8879 :rule cong :premises (@p8878) :args ((forall @t70 @t6215))) % 1.61/1.83 (step @p8880 :rule bool-impl-elim :args (@t354 @t658)) % 1.61/1.83 (step @p8881 :rule cong :premises (@p8880) :args (@t659)) % 1.61/1.83 (step @p8882 :rule trans :premises (@p8881 @p8879)) % 1.61/1.83 (step @p8883 :rule cong :premises (@p942 @p8882) :args (@t660)) % 1.61/1.83 (step @p8884 :rule cong :premises (@p8883) :args (@t661)) % 1.61/1.83 (step @p8885 :rule trans :premises (@p8884 @p8865)) % 1.61/1.83 (step @p8886 :rule refl :args (tptp.ubforcartprodlem1)) % 1.61/1.83 (step @p8887 :rule cong :premises (@p8886 @p8885) :args (@t662)) % 1.61/1.83 (step @p8888 :rule eq_resolve :premises (@p144 @p8887)) % 1.61/1.83 (step @p8889 :rule cong :premises (@p8888 @p8847) :args (@t6216)) % 1.61/1.83 (step @p8890 :rule aci_norm :args ((= @t6218 @t2956))) % 1.61/1.83 (step @p8891 :rule cong :premises (@p8890) :args (@t6219)) % 1.61/1.83 (step @p8892 :rule quant-merge-prenex :args ((= (forall @t245 @t6221) @t6219))) % 1.61/1.83 (step @p8893 :rule alpha_equiv :args (@t6222 (@list @t2953) @t3627)) % 1.61/1.83 (step @p8894 :rule nary_cong :premises (@p869 @p8893) :args (@t6223)) % 1.61/1.83 (step @p8895 :rule quant-miniscope-or :args ((= @t6221 @t6223))) % 1.61/1.83 (step @p8896 :rule trans :premises (@p8895 @p8894)) % 1.61/1.83 (step @p8897 :rule symm :premises (@p8896)) % 1.61/1.83 (step @p8898 :rule cong :premises (@p8897) :args ((forall @t245 (or @t2125 @t6225)))) % 1.61/1.83 (step @p8899 :rule trans :premises (@p8898 @p8892)) % 1.61/1.83 (step @p8900 :rule trans :premises (@p8899 @p8891)) % 1.61/1.83 (step @p8901 :rule refl :args (@t6225)) % 1.61/1.83 (step @p8902 :rule nary_cong :premises (@p883 @p8901) :args (@t6226)) % 1.61/1.83 (step @p8903 :rule cong :premises (@p8902) :args ((forall @t245 @t6226))) % 1.61/1.83 (step @p8904 :rule trans :premises (@p8903 @p8900)) % 1.61/1.83 (step @p8905 :rule bool-impl-elim :args (@t7 @t6225)) % 1.61/1.83 (step @p8906 :rule cong :premises (@p8905) :args ((forall @t245 (=> @t7 @t6225)))) % 1.61/1.83 (step @p8907 :rule trans :premises (@p8906 @p8904)) % 1.61/1.83 (step @p8908 :rule refl :args ((tptp.in @t293 @t644))) % 1.61/1.83 (step @p8909 :rule cong :premises (@p5482 @p8764) :args (@t6224)) % 1.61/1.83 (step @p8910 :rule trans :premises (@p8909 @p8908)) % 1.61/1.83 (step @p8911 :rule ho_cong :premises (@p895 @p5482)) % 1.61/1.83 (step @p8912 :rule ho_cong :premises (@p8911 @p8764)) % 1.61/1.83 (step @p8913 :rule cong :premises (@p8912 @p8910) :args ((= (_ (_ tptp.in @t2838) @t2933) @t6224))) % 1.61/1.83 (step @p8914 :rule symm :premises (@p8913)) % 1.61/1.83 (step @p8915 :rule refl :args (@t653)) % 1.61/1.83 (step @p8916 :rule eq_resolve :premises (@p8915 @p8914)) % 1.61/1.83 (step @p8917 :rule ho_cong :premises (@p895 @p5503)) % 1.61/1.83 (step @p8918 :rule ho_cong :premises (@p8917 @p8789)) % 1.61/1.83 (step @p8919 :rule trans :premises (@p8918 @p8916)) % 1.61/1.83 (step @p8920 :rule nary_cong :premises (@p2089 @p8919) :args (@t6227)) % 1.61/1.83 (step @p8921 :rule cong :premises (@p8920) :args ((forall @t70 @t6227))) % 1.61/1.83 (step @p8922 :rule bool-impl-elim :args (@t354 @t653)) % 1.61/1.83 (step @p8923 :rule cong :premises (@p8922) :args (@t654)) % 1.61/1.83 (step @p8924 :rule trans :premises (@p8923 @p8921)) % 1.61/1.83 (step @p8925 :rule cong :premises (@p942 @p8924) :args (@t655)) % 1.61/1.83 (step @p8926 :rule cong :premises (@p8925) :args (@t656)) % 1.61/1.83 (step @p8927 :rule trans :premises (@p8926 @p8907)) % 1.61/1.83 (step @p8928 :rule refl :args (tptp.upairinpowunion)) % 1.61/1.83 (step @p8929 :rule cong :premises (@p8928 @p8927) :args (@t657)) % 1.61/1.83 (step @p8930 :rule eq_resolve :premises (@p143 @p8929)) % 1.61/1.83 (step @p8931 :rule cong :premises (@p8930 @p8889) :args (@t6228)) % 1.61/1.83 (step @p8932 :rule aci_norm :args ((= @t6230 @t2962))) % 1.61/1.83 (step @p8933 :rule cong :premises (@p8932) :args (@t6231)) % 1.61/1.83 (step @p8934 :rule quant-merge-prenex :args ((= (forall @t245 @t6233) @t6231))) % 1.61/1.83 (step @p8935 :rule alpha_equiv :args (@t6234 (@list @t2959) @t3627)) % 1.61/1.83 (step @p8936 :rule nary_cong :premises (@p869 @p8935) :args (@t6235)) % 1.61/1.83 (step @p8937 :rule quant-miniscope-or :args ((= @t6233 @t6235))) % 1.61/1.83 (step @p8938 :rule trans :premises (@p8937 @p8936)) % 1.61/1.83 (step @p8939 :rule symm :premises (@p8938)) % 1.61/1.83 (step @p8940 :rule cong :premises (@p8939) :args ((forall @t245 (or @t2125 @t6237)))) % 1.61/1.83 (step @p8941 :rule trans :premises (@p8940 @p8934)) % 1.61/1.83 (step @p8942 :rule trans :premises (@p8941 @p8933)) % 1.61/1.83 (step @p8943 :rule refl :args (@t6237)) % 1.61/1.83 (step @p8944 :rule nary_cong :premises (@p883 @p8943) :args (@t6238)) % 1.61/1.83 (step @p8945 :rule cong :premises (@p8944) :args ((forall @t245 @t6238))) % 1.61/1.83 (step @p8946 :rule trans :premises (@p8945 @p8942)) % 1.61/1.83 (step @p8947 :rule bool-impl-elim :args (@t7 @t6237)) % 1.61/1.83 (step @p8948 :rule cong :premises (@p8947) :args ((forall @t245 (=> @t7 @t6237)))) % 1.61/1.83 (step @p8949 :rule trans :premises (@p8948 @p8946)) % 1.61/1.83 (step @p8950 :rule refl :args ((tptp.subset @t293 @t494))) % 1.61/1.83 (step @p8951 :rule cong :premises (@p5482 @p8762) :args (@t6236)) % 1.61/1.83 (step @p8952 :rule trans :premises (@p8951 @p8950)) % 1.61/1.83 (step @p8953 :rule ho_cong :premises (@p2731 @p5482)) % 1.61/1.83 (step @p8954 :rule ho_cong :premises (@p8953 @p8762)) % 1.61/1.83 (step @p8955 :rule cong :premises (@p8954 @p8952) :args ((= (_ (_ tptp.subset @t2838) @t2932) @t6236))) % 1.61/1.83 (step @p8956 :rule symm :premises (@p8955)) % 1.61/1.83 (step @p8957 :rule refl :args (@t648)) % 1.61/1.83 (step @p8958 :rule eq_resolve :premises (@p8957 @p8956)) % 1.61/1.83 (step @p8959 :rule ho_cong :premises (@p2731 @p5503)) % 1.61/1.83 (step @p8960 :rule ho_cong :premises (@p8959 @p8787)) % 1.61/1.83 (step @p8961 :rule trans :premises (@p8960 @p8958)) % 1.61/1.83 (step @p8962 :rule nary_cong :premises (@p2089 @p8961) :args (@t6239)) % 1.61/1.83 (step @p8963 :rule cong :premises (@p8962) :args ((forall @t70 @t6239))) % 1.61/1.83 (step @p8964 :rule bool-impl-elim :args (@t354 @t648)) % 1.61/1.83 (step @p8965 :rule cong :premises (@p8964) :args (@t649)) % 1.61/1.83 (step @p8966 :rule trans :premises (@p8965 @p8963)) % 1.61/1.83 (step @p8967 :rule cong :premises (@p942 @p8966) :args (@t650)) % 1.61/1.83 (step @p8968 :rule cong :premises (@p8967) :args (@t651)) % 1.61/1.83 (step @p8969 :rule trans :premises (@p8968 @p8949)) % 1.61/1.83 (step @p8970 :rule refl :args (tptp.upairsubunion)) % 1.61/1.83 (step @p8971 :rule cong :premises (@p8970 @p8969) :args (@t652)) % 1.61/1.83 (step @p8972 :rule eq_resolve :premises (@p142 @p8971)) % 1.61/1.83 (step @p8973 :rule cong :premises (@p8972 @p8931) :args (@t6240)) % 1.61/1.83 (step @p8974 :rule eq-symm :args (@t2967 tptp.upairset2E)) % 1.61/1.83 (step @p8975 :rule refl :args (tptp.upairset2E)) % 1.61/1.83 (step @p8976 :rule refl :args (@t2965)) % 1.61/1.83 (step @p8977 :rule refl :args ((tptp.in @t289 @t293))) % 1.61/1.83 (step @p8978 :rule cong :premises (@p8012 @p5482) :args (@t2966)) % 1.61/1.83 (step @p8979 :rule trans :premises (@p8978 @p8977)) % 1.61/1.83 (step @p8980 :rule refl :args (@t294)) % 1.61/1.83 (step @p8981 :rule ho_cong :premises (@p8980 @p5482)) % 1.61/1.83 (step @p8982 :rule cong :premises (@p8981 @p8979) :args ((= (_ @t294 @t2838) @t2966))) % 1.61/1.83 (step @p8983 :rule symm :premises (@p8982)) % 1.61/1.83 (step @p8984 :rule refl :args (@t295)) % 1.61/1.83 (step @p8985 :rule eq_resolve :premises (@p8984 @p8983)) % 1.61/1.83 (step @p8986 :rule ho_cong :premises (@p8980 @p5503)) % 1.61/1.83 (step @p8987 :rule trans :premises (@p8986 @p8985)) % 1.61/1.83 (step @p8988 :rule cong :premises (@p8987) :args (@t6241)) % 1.61/1.83 (step @p8989 :rule nary_cong :premises (@p8988 @p8208 @p8976) :args (@t6242)) % 1.61/1.83 (step @p8990 :rule cong :premises (@p8989) :args ((forall @t297 @t6242))) % 1.61/1.83 (step @p8991 :rule aci_norm :args ((= (or @t6241 @t6243) @t6242))) % 1.61/1.83 (step @p8992 :rule bool-impl-elim :args (@t295 @t6243)) % 1.61/1.83 (step @p8993 :rule trans :premises (@p8992 @p8991)) % 1.61/1.83 (step @p8994 :rule cong :premises (@p8993) :args ((forall @t297 (=> @t295 @t6243)))) % 1.61/1.83 (step @p8995 :rule trans :premises (@p8994 @p8990)) % 1.61/1.83 (step @p8996 :rule nary_cong :premises (@p5812 @p5810) :args (@t292)) % 1.61/1.83 (step @p8997 :rule refl :args (@t295)) % 1.61/1.83 (step @p8998 :rule cong :premises (@p8997 @p8996) :args (@t296)) % 1.61/1.83 (step @p8999 :rule cong :premises (@p8998) :args (@t298)) % 1.61/1.83 (step @p9000 :rule trans :premises (@p8999 @p8995)) % 1.61/1.83 (step @p9001 :rule cong :premises (@p9000 @p8975) :args ((= @t298 tptp.upairset2E))) % 1.61/1.83 (step @p9002 :rule trans :premises (@p9001 @p8974)) % 1.61/1.83 (step @p9003 :rule eq-symm :args (tptp.upairset2E @t298)) % 1.61/1.83 (step @p9004 :rule trans :premises (@p9003 @p9002)) % 1.61/1.83 (step @p9005 :rule eq_resolve :premises (@p141 @p9004)) % 1.61/1.83 (step @p9006 :rule cong :premises (@p9005 @p8973) :args (@t6244)) % 1.61/1.83 (step @p9007 :rule refl :args ((tptp.in @t279 @t644))) % 1.61/1.83 (step @p9008 :rule cong :premises (@p5889 @p8764) :args (@t2968)) % 1.61/1.83 (step @p9009 :rule trans :premises (@p9008 @p9007)) % 1.61/1.83 (step @p9010 :rule ho_cong :premises (@p8296 @p8764)) % 1.61/1.83 (step @p9011 :rule cong :premises (@p9010 @p9009) :args ((= (_ @t6089 @t2933) @t2968))) % 1.61/1.83 (step @p9012 :rule symm :premises (@p9011)) % 1.61/1.83 (step @p9013 :rule refl :args (@t645)) % 1.61/1.83 (step @p9014 :rule eq_resolve :premises (@p9013 @p9012)) % 1.61/1.83 (step @p9015 :rule ho_cong :premises (@p8302 @p8789)) % 1.61/1.83 (step @p9016 :rule trans :premises (@p9015 @p9014)) % 1.61/1.83 (step @p9017 :rule nary_cong :premises (@p883 @p9016) :args (@t6245)) % 1.61/1.83 (step @p9018 :rule cong :premises (@p9017) :args ((forall @t245 @t6245))) % 1.61/1.83 (step @p9019 :rule bool-impl-elim :args (@t7 @t645)) % 1.61/1.83 (step @p9020 :rule cong :premises (@p9019) :args (@t646)) % 1.61/1.83 (step @p9021 :rule trans :premises (@p9020 @p9018)) % 1.61/1.83 (step @p9022 :rule refl :args (tptp.singletoninpowunion)) % 1.61/1.83 (step @p9023 :rule cong :premises (@p9022 @p9021) :args (@t647)) % 1.61/1.83 (step @p9024 :rule eq_resolve :premises (@p140 @p9023)) % 1.61/1.83 (step @p9025 :rule cong :premises (@p9024 @p9006) :args (@t6246)) % 1.61/1.83 (step @p9026 :rule refl :args ((tptp.in @t279 @t33))) % 1.61/1.83 (step @p9027 :rule cong :premises (@p5889 @p2153) :args (@t2970)) % 1.61/1.83 (step @p9028 :rule trans :premises (@p9027 @p9026)) % 1.61/1.83 (step @p9029 :rule ho_cong :premises (@p8296 @p2153)) % 1.61/1.83 (step @p9030 :rule cong :premises (@p9029 @p9028) :args ((= (_ @t6089 @t2181) @t2970))) % 1.61/1.83 (step @p9031 :rule symm :premises (@p9030)) % 1.61/1.83 (step @p9032 :rule refl :args (@t641)) % 1.61/1.83 (step @p9033 :rule eq_resolve :premises (@p9032 @p9031)) % 1.61/1.83 (step @p9034 :rule ho_cong :premises (@p8302 @p2166)) % 1.61/1.83 (step @p9035 :rule trans :premises (@p9034 @p9033)) % 1.61/1.83 (step @p9036 :rule nary_cong :premises (@p883 @p9035) :args (@t6247)) % 1.61/1.83 (step @p9037 :rule cong :premises (@p9036) :args ((forall @t46 @t6247))) % 1.61/1.83 (step @p9038 :rule bool-impl-elim :args (@t7 @t641)) % 1.61/1.83 (step @p9039 :rule cong :premises (@p9038) :args (@t642)) % 1.61/1.83 (step @p9040 :rule trans :premises (@p9039 @p9037)) % 1.61/1.83 (step @p9041 :rule refl :args (tptp.singletoninpowerset)) % 1.61/1.83 (step @p9042 :rule cong :premises (@p9041 @p9040) :args (@t643)) % 1.61/1.83 (step @p9043 :rule eq_resolve :premises (@p139 @p9042)) % 1.61/1.83 (step @p9044 :rule cong :premises (@p9043 @p9025) :args (@t6248)) % 1.61/1.83 (step @p9045 :rule refl :args ((tptp.subset @t279 @t2))) % 1.61/1.83 (step @p9046 :rule cong :premises (@p5889 @p1066) :args (@t2972)) % 1.61/1.83 (step @p9047 :rule trans :premises (@p9046 @p9045)) % 1.61/1.83 (step @p9048 :rule ho_cong :premises (@p2731 @p5889)) % 1.61/1.83 (step @p9049 :rule ho_cong :premises (@p9048 @p1066)) % 1.61/1.83 (step @p9050 :rule cong :premises (@p9049 @p9047) :args ((= (_ (_ tptp.subset @t2585) @t2) @t2972))) % 1.61/1.83 (step @p9051 :rule symm :premises (@p9050)) % 1.61/1.83 (step @p9052 :rule refl :args (@t637)) % 1.61/1.83 (step @p9053 :rule eq_resolve :premises (@p9052 @p9051)) % 1.61/1.83 (step @p9054 :rule ho_cong :premises (@p2731 @p5893)) % 1.61/1.83 (step @p9055 :rule ho_cong :premises (@p9054 @p1066)) % 1.61/1.83 (step @p9056 :rule trans :premises (@p9055 @p9053)) % 1.61/1.83 (step @p9057 :rule nary_cong :premises (@p883 @p9056) :args (@t6249)) % 1.61/1.83 (step @p9058 :rule cong :premises (@p9057) :args ((forall @t46 @t6249))) % 1.61/1.83 (step @p9059 :rule bool-impl-elim :args (@t7 @t637)) % 1.61/1.83 (step @p9060 :rule cong :premises (@p9059) :args (@t638)) % 1.61/1.83 (step @p9061 :rule trans :premises (@p9060 @p9058)) % 1.61/1.83 (step @p9062 :rule refl :args (tptp.singletonsubset)) % 1.61/1.83 (step @p9063 :rule cong :premises (@p9062 @p9061) :args (@t639)) % 1.61/1.83 (step @p9064 :rule eq_resolve :premises (@p138 @p9063)) % 1.61/1.83 (step @p9065 :rule cong :premises (@p9064 @p9044) :args (@t6250)) % 1.61/1.83 (step @p9066 :rule refl :args ((tptp.iskpair @t633))) % 1.61/1.83 (step @p9067 :rule cong :premises (@p892) :args (@t2974)) % 1.61/1.83 (step @p9068 :rule trans :premises (@p9067 @p9066)) % 1.61/1.83 (step @p9069 :rule refl :args (tptp.iskpair)) % 1.61/1.83 (step @p9070 :rule ho_cong :premises (@p9069 @p892)) % 1.61/1.83 (step @p9071 :rule cong :premises (@p9070 @p9068) :args ((= (_ tptp.iskpair @t2768) @t2974))) % 1.61/1.83 (step @p9072 :rule symm :premises (@p9071)) % 1.61/1.83 (step @p9073 :rule refl :args (@t634)) % 1.61/1.83 (step @p9074 :rule eq_resolve :premises (@p9073 @p9072)) % 1.61/1.83 (step @p9075 :rule ho_cong :premises (@p9069 @p909)) % 1.61/1.83 (step @p9076 :rule trans :premises (@p9075 @p9074)) % 1.61/1.83 (step @p9077 :rule cong :premises (@p9076) :args (@t635)) % 1.61/1.83 (step @p9078 :rule refl :args (tptp.kpairp)) % 1.61/1.83 (step @p9079 :rule cong :premises (@p9078 @p9077) :args (@t636)) % 1.61/1.83 (step @p9080 :rule eq_resolve :premises (@p137 @p9079)) % 1.61/1.83 (step @p9081 :rule cong :premises (@p9080 @p9065) :args (@t6251)) % 1.61/1.83 (step @p9082 :rule refl :args ((tptp.iskpair @t621))) % 1.61/1.83 (step @p9083 :rule cong :premises (@p8060) :args (@t2976)) % 1.61/1.83 (step @p9084 :rule trans :premises (@p9083 @p9082)) % 1.61/1.83 (step @p9085 :rule ho_cong :premises (@p9069 @p8060)) % 1.61/1.83 (step @p9086 :rule cong :premises (@p9085 @p9084) :args ((= (_ tptp.iskpair @t2840) @t2976))) % 1.61/1.83 (step @p9087 :rule symm :premises (@p9086)) % 1.61/1.83 (step @p9088 :rule refl :args (@t629)) % 1.61/1.83 (step @p9089 :rule eq_resolve :premises (@p9088 @p9087)) % 1.61/1.83 (step @p9090 :rule ho_cong :premises (@p9069 @p8078)) % 1.61/1.83 (step @p9091 :rule trans :premises (@p9090 @p9089)) % 1.61/1.83 (step @p9092 :rule cong :premises (@p9091) :args (@t630)) % 1.61/1.83 (step @p9093 :rule refl :args (tptp.kpairiskpair)) % 1.61/1.83 (step @p9094 :rule cong :premises (@p9093 @p9092) :args (@t631)) % 1.61/1.83 (step @p9095 :rule eq_resolve :premises (@p136 @p9094)) % 1.61/1.83 (step @p9096 :rule cong :premises (@p9095 @p9081) :args (@t6252)) % 1.61/1.83 (step @p9097 :rule refl :args ((tptp.in @t19 @t622))) % 1.61/1.83 (step @p9098 :rule refl :args ((tptp.setunion @t621))) % 1.61/1.83 (step @p9099 :rule cong :premises (@p8060) :args (@t2978)) % 1.61/1.83 (step @p9100 :rule trans :premises (@p9099 @p9098)) % 1.61/1.83 (step @p9101 :rule cong :premises (@p5560 @p9100) :args (@t2979)) % 1.61/1.83 (step @p9102 :rule trans :premises (@p9101 @p9097)) % 1.61/1.83 (step @p9103 :rule ho_cong :premises (@p6180 @p9100)) % 1.61/1.83 (step @p9104 :rule cong :premises (@p9103 @p9102) :args ((= (_ @t20 @t2978) @t2979))) % 1.61/1.83 (step @p9105 :rule symm :premises (@p9104)) % 1.61/1.83 (step @p9106 :rule refl :args (@t626)) % 1.61/1.83 (step @p9107 :rule eq_resolve :premises (@p9106 @p9105)) % 1.61/1.83 (step @p9108 :rule ho_cong :premises (@p7425 @p8060)) % 1.61/1.83 (step @p9109 :rule cong :premises (@p9108 @p9100) :args ((= (_ tptp.setunion @t2840) @t2978))) % 1.61/1.83 (step @p9110 :rule symm :premises (@p9109)) % 1.61/1.83 (step @p9111 :rule refl :args (@t622)) % 1.61/1.83 (step @p9112 :rule eq_resolve :premises (@p9111 @p9110)) % 1.61/1.83 (step @p9113 :rule ho_cong :premises (@p7425 @p8078)) % 1.61/1.83 (step @p9114 :rule trans :premises (@p9113 @p9112)) % 1.61/1.83 (step @p9115 :rule ho_cong :premises (@p6180 @p9114)) % 1.61/1.83 (step @p9116 :rule trans :premises (@p9115 @p9107)) % 1.61/1.83 (step @p9117 :rule cong :premises (@p9116) :args (@t627)) % 1.61/1.83 (step @p9118 :rule refl :args (tptp.setukpairIR)) % 1.61/1.83 (step @p9119 :rule cong :premises (@p9118 @p9117) :args (@t628)) % 1.61/1.83 (step @p9120 :rule eq_resolve :premises (@p135 @p9119)) % 1.61/1.83 (step @p9121 :rule cong :premises (@p9120 @p9096) :args (@t6253)) % 1.61/1.83 (step @p9122 :rule refl :args ((tptp.in @t4 @t622))) % 1.61/1.83 (step @p9123 :rule cong :premises (@p3047 @p9100) :args (@t2981)) % 1.61/1.83 (step @p9124 :rule trans :premises (@p9123 @p9122)) % 1.61/1.83 (step @p9125 :rule ho_cong :premises (@p3050 @p9100)) % 1.61/1.83 (step @p9126 :rule cong :premises (@p9125 @p9124) :args ((= (_ @t5 @t2978) @t2981))) % 1.61/1.83 (step @p9127 :rule symm :premises (@p9126)) % 1.61/1.83 (step @p9128 :rule refl :args (@t623)) % 1.61/1.83 (step @p9129 :rule eq_resolve :premises (@p9128 @p9127)) % 1.61/1.83 (step @p9130 :rule ho_cong :premises (@p3050 @p9114)) % 1.61/1.83 (step @p9131 :rule trans :premises (@p9130 @p9129)) % 1.61/1.83 (step @p9132 :rule cong :premises (@p9131) :args (@t624)) % 1.61/1.83 (step @p9133 :rule refl :args (tptp.setukpairIL)) % 1.61/1.83 (step @p9134 :rule cong :premises (@p9133 @p9132) :args (@t625)) % 1.61/1.83 (step @p9135 :rule eq_resolve :premises (@p134 @p9134)) % 1.61/1.83 (step @p9136 :rule cong :premises (@p9135 @p9121) :args (@t6254)) % 1.61/1.83 (step @p9137 :rule eq-symm :args (@t2984 tptp.secondinupair)) % 1.61/1.83 (step @p9138 :rule refl :args (tptp.secondinupair)) % 1.61/1.83 (step @p9139 :rule refl :args ((tptp.in @t19 @t293))) % 1.61/1.83 (step @p9140 :rule cong :premises (@p5560 @p5482) :args (@t2983)) % 1.61/1.83 (step @p9141 :rule trans :premises (@p9140 @p9139)) % 1.61/1.83 (step @p9142 :rule ho_cong :premises (@p6180 @p5482)) % 1.61/1.83 (step @p9143 :rule cong :premises (@p9142 @p9141) :args ((= (_ @t20 @t2838) @t2983))) % 1.61/1.83 (step @p9144 :rule symm :premises (@p9143)) % 1.61/1.83 (step @p9145 :rule refl :args (@t303)) % 1.61/1.83 (step @p9146 :rule eq_resolve :premises (@p9145 @p9144)) % 1.61/1.83 (step @p9147 :rule ho_cong :premises (@p6180 @p5503)) % 1.61/1.83 (step @p9148 :rule trans :premises (@p9147 @p9146)) % 1.61/1.83 (step @p9149 :rule cong :premises (@p9148) :args (@t304)) % 1.61/1.83 (step @p9150 :rule cong :premises (@p9149 @p9138) :args ((= @t304 tptp.secondinupair))) % 1.61/1.83 (step @p9151 :rule trans :premises (@p9150 @p9137)) % 1.61/1.83 (step @p9152 :rule eq-symm :args (tptp.secondinupair @t304)) % 1.61/1.83 (step @p9153 :rule trans :premises (@p9152 @p9151)) % 1.61/1.83 (step @p9154 :rule eq_resolve :premises (@p133 @p9153)) % 1.61/1.83 (step @p9155 :rule cong :premises (@p9154 @p9136) :args (@t6255)) % 1.61/1.83 (step @p9156 :rule refl :args ((tptp.in @t4 @t601))) % 1.61/1.83 (step @p9157 :rule refl :args (@t2985)) % 1.61/1.83 (step @p9158 :rule cong :premises (@p3047 @p9157) :args (@t2986)) % 1.61/1.83 (step @p9159 :rule trans :premises (@p9158 @p9156)) % 1.61/1.83 (step @p9160 :rule ho_cong :premises (@p3050 @p9157)) % 1.61/1.83 (step @p9161 :rule cong :premises (@p9160 @p9159) :args ((= (_ @t5 @t2985) @t2986))) % 1.61/1.83 (step @p9162 :rule symm :premises (@p9161)) % 1.61/1.83 (step @p9163 :rule refl :args (@t602)) % 1.61/1.83 (step @p9164 :rule eq_resolve :premises (@p9163 @p9162)) % 1.61/1.83 (step @p9165 :rule refl :args (@t601)) % 1.61/1.83 (step @p9166 :rule cong :premises (@p9165 @p9157) :args ((= @t601 @t2985))) % 1.61/1.83 (step @p9167 :rule symm :premises (@p9166)) % 1.61/1.83 (step @p9168 :rule eq_resolve :premises (@p9165 @p9167)) % 1.61/1.83 (step @p9169 :rule ho_cong :premises (@p3050 @p9168)) % 1.61/1.83 (step @p9170 :rule trans :premises (@p9169 @p9164)) % 1.61/1.83 (step @p9171 :rule cong :premises (@p9170) :args (@t612)) % 1.61/1.83 (step @p9172 :rule refl :args (@t2988)) % 1.61/1.83 (step @p9173 :rule refl :args (@t6)) % 1.61/1.83 (step @p9174 :rule cong :premises (@p9173 @p9172) :args ((= @t6 @t2988))) % 1.61/1.83 (step @p9175 :rule symm :premises (@p9174)) % 1.61/1.83 (step @p9176 :rule eq_resolve :premises (@p9173 @p9175)) % 1.61/1.83 (step @p9177 :rule nary_cong :premises (@p882 @p9176 @p9171) :args (@t6256)) % 1.61/1.83 (step @p9178 :rule cong :premises (@p9177) :args ((forall @t245 @t6256))) % 1.61/1.83 (step @p9179 :rule aci_norm :args ((= (or @t7 (or @t6 @t612)) @t6256))) % 1.61/1.83 (step @p9180 :rule refl :args (@t612)) % 1.61/1.83 (step @p9181 :rule bool-double-not-elim :args (@t6)) % 1.61/1.83 (step @p9182 :rule nary_cong :premises (@p9181 @p9180) :args ((or @t6257 @t612))) % 1.61/1.83 (step @p9183 :rule bool-impl-elim :args (@t437 @t612)) % 1.61/1.83 (step @p9184 :rule trans :premises (@p9183 @p9182)) % 1.61/1.83 (step @p9185 :rule nary_cong :premises (@p879 @p9184) :args ((or @t7 @t616))) % 1.61/1.83 (step @p9186 :rule trans :premises (@p9185 @p9179)) % 1.61/1.83 (step @p9187 :rule refl :args (@t616)) % 1.61/1.83 (step @p9188 :rule bool-double-not-elim :args (@t7)) % 1.61/1.83 (step @p9189 :rule nary_cong :premises (@p9188 @p9187) :args ((or @t6258 @t616))) % 1.61/1.83 (step @p9190 :rule bool-impl-elim :args (@t197 @t616)) % 1.61/1.83 (step @p9191 :rule trans :premises (@p9190 @p9189)) % 1.61/1.83 (step @p9192 :rule trans :premises (@p9191 @p9186)) % 1.61/1.83 (step @p9193 :rule cong :premises (@p9192) :args (@t617)) % 1.61/1.83 (step @p9194 :rule trans :premises (@p9193 @p9178)) % 1.61/1.83 (step @p9195 :rule refl :args (tptp.symdiffIneg2)) % 1.61/1.83 (step @p9196 :rule cong :premises (@p9195 @p9194) :args (@t618)) % 1.61/1.83 (step @p9197 :rule eq_resolve :premises (@p132 @p9196)) % 1.61/1.83 (step @p9198 :rule cong :premises (@p9197 @p9155) :args (@t6259)) % 1.61/1.83 (step @p9199 :rule cong :premises (@p9176) :args (@t437)) % 1.61/1.83 (step @p9200 :rule nary_cong :premises (@p883 @p9199 @p9171) :args (@t6260)) % 1.61/1.83 (step @p9201 :rule cong :premises (@p9200) :args ((forall @t245 @t6260))) % 1.61/1.83 (step @p9202 :rule aci_norm :args ((= (or @t197 (or @t437 @t612)) @t6260))) % 1.61/1.83 (step @p9203 :rule bool-impl-elim :args (@t6 @t612)) % 1.61/1.83 (step @p9204 :rule nary_cong :premises (@p3166 @p9203) :args ((or @t197 @t613))) % 1.61/1.83 (step @p9205 :rule trans :premises (@p9204 @p9202)) % 1.61/1.83 (step @p9206 :rule bool-impl-elim :args (@t7 @t613)) % 1.61/1.83 (step @p9207 :rule trans :premises (@p9206 @p9205)) % 1.61/1.83 (step @p9208 :rule cong :premises (@p9207) :args (@t614)) % 1.61/1.83 (step @p9209 :rule trans :premises (@p9208 @p9201)) % 1.61/1.83 (step @p9210 :rule refl :args (tptp.symdiffIneg1)) % 1.61/1.83 (step @p9211 :rule cong :premises (@p9210 @p9209) :args (@t615)) % 1.61/1.83 (step @p9212 :rule eq_resolve :premises (@p131 @p9211)) % 1.61/1.83 (step @p9213 :rule cong :premises (@p9212 @p9198) :args (@t6261)) % 1.61/1.83 (step @p9214 :rule nary_cong :premises (@p882 @p9199 @p9170) :args (@t6262)) % 1.61/1.83 (step @p9215 :rule cong :premises (@p9214) :args ((forall @t245 @t6262))) % 1.61/1.83 (step @p9216 :rule aci_norm :args ((= (or @t7 (or @t437 @t602)) @t6262))) % 1.61/1.83 (step @p9217 :rule bool-impl-elim :args (@t6 @t602)) % 1.61/1.83 (step @p9218 :rule nary_cong :premises (@p879 @p9217) :args ((or @t7 @t609))) % 1.61/1.83 (step @p9219 :rule trans :premises (@p9218 @p9216)) % 1.61/1.83 (step @p9220 :rule refl :args (@t609)) % 1.61/1.83 (step @p9221 :rule nary_cong :premises (@p9188 @p9220) :args ((or @t6258 @t609))) % 1.61/1.83 (step @p9222 :rule bool-impl-elim :args (@t197 @t609)) % 1.61/1.83 (step @p9223 :rule trans :premises (@p9222 @p9221)) % 1.61/1.83 (step @p9224 :rule trans :premises (@p9223 @p9219)) % 1.61/1.83 (step @p9225 :rule cong :premises (@p9224) :args (@t610)) % 1.61/1.83 (step @p9226 :rule trans :premises (@p9225 @p9215)) % 1.61/1.83 (step @p9227 :rule refl :args (tptp.symdiffI2)) % 1.61/1.83 (step @p9228 :rule cong :premises (@p9227 @p9226) :args (@t611)) % 1.61/1.83 (step @p9229 :rule eq_resolve :premises (@p130 @p9228)) % 1.61/1.83 (step @p9230 :rule cong :premises (@p9229 @p9213) :args (@t6263)) % 1.61/1.83 (step @p9231 :rule nary_cong :premises (@p883 @p9176 @p9170) :args (@t6264)) % 1.61/1.83 (step @p9232 :rule cong :premises (@p9231) :args ((forall @t245 @t6264))) % 1.61/1.83 (step @p9233 :rule aci_norm :args ((= (or @t197 (or @t6 @t602)) @t6264))) % 1.61/1.83 (step @p9234 :rule nary_cong :premises (@p9181 @p9163) :args ((or @t6257 @t602))) % 1.61/1.83 (step @p9235 :rule bool-impl-elim :args (@t437 @t602)) % 1.61/1.83 (step @p9236 :rule trans :premises (@p9235 @p9234)) % 1.61/1.83 (step @p9237 :rule nary_cong :premises (@p3166 @p9236) :args ((or @t197 @t606))) % 1.61/1.83 (step @p9238 :rule trans :premises (@p9237 @p9233)) % 1.61/1.83 (step @p9239 :rule bool-impl-elim :args (@t7 @t606)) % 1.61/1.83 (step @p9240 :rule trans :premises (@p9239 @p9238)) % 1.61/1.83 (step @p9241 :rule cong :premises (@p9240) :args (@t607)) % 1.61/1.83 (step @p9242 :rule trans :premises (@p9241 @p9232)) % 1.61/1.83 (step @p9243 :rule refl :args (tptp.symdiffI1)) % 1.61/1.83 (step @p9244 :rule cong :premises (@p9243 @p9242) :args (@t608)) % 1.61/1.83 (step @p9245 :rule eq_resolve :premises (@p129 @p9244)) % 1.61/1.83 (step @p9246 :rule cong :premises (@p9245 @p9230) :args (@t6265)) % 1.61/1.83 (step @p9247 :rule refl :args (@t2994)) % 1.61/1.83 (step @p9248 :rule refl :args (@t2995)) % 1.61/1.83 (step @p9249 :rule nary_cong :premises (@p9171 @p9248 @p9247) :args (@t6266)) % 1.61/1.83 (step @p9250 :rule cong :premises (@p9249) :args ((forall @t245 @t6266))) % 1.61/1.83 (step @p9251 :rule aci_norm :args ((= (or @t612 @t6267) @t6266))) % 1.61/1.83 (step @p9252 :rule bool-impl-elim :args (@t602 @t6267)) % 1.61/1.83 (step @p9253 :rule trans :premises (@p9252 @p9251)) % 1.61/1.83 (step @p9254 :rule cong :premises (@p9253) :args ((forall @t245 (=> @t602 @t6267)))) % 1.61/1.83 (step @p9255 :rule trans :premises (@p9254 @p9250)) % 1.61/1.83 (step @p9256 :rule aci_norm :args ((= (and @t2125 @t2988 true) @t2994))) % 1.61/1.83 (step @p9257 :rule refl :args (@t2988)) % 1.61/1.83 (step @p9258 :rule nary_cong :premises (@p3756 @p9257 @p1172) :args (@t6268)) % 1.61/1.83 (step @p9259 :rule trans :premises (@p9258 @p9256)) % 1.61/1.83 (step @p9260 :rule aci_norm :args ((= (and @t2124 @t2990 true) @t2995))) % 1.61/1.83 (step @p9261 :rule refl :args (@t2990)) % 1.61/1.83 (step @p9262 :rule nary_cong :premises (@p7555 @p9261 @p1172) :args (@t6269)) % 1.61/1.83 (step @p9263 :rule trans :premises (@p9262 @p9260)) % 1.61/1.83 (step @p9264 :rule nary_cong :premises (@p9263 @p9259) :args (@t6270)) % 1.61/1.83 (step @p9265 :rule aci_norm :args ((= @t6271 @t6270))) % 1.61/1.83 (step @p9266 :rule trans :premises (@p9265 @p9264)) % 1.61/1.83 (step @p9267 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t6273 @t6272 @t173)) @t6271))) % 1.61/1.83 (step @p9268 :rule refl :args (@t6272)) % 1.61/1.83 (step @p9269 :rule refl :args (@t6273)) % 1.61/1.83 (step @p9270 :rule nary_cong :premises (@p1185 @p9269 @p9268 @p1178) :args (@t6274)) % 1.61/1.83 (step @p9271 :rule aci_norm :args ((= @t6275 @t6274))) % 1.61/1.83 (step @p9272 :rule trans :premises (@p9271 @p9270)) % 1.61/1.83 (step @p9273 :rule cong :premises (@p9272) :args ((forall @t179 @t6275))) % 1.61/1.83 (step @p9274 :rule trans :premises (@p9273 @p9267)) % 1.61/1.83 (step @p9275 :rule trans :premises (@p9274 @p9266)) % 1.61/1.83 (step @p9276 :rule nary_cong :premises (@p883 @p9176 @p3776) :args (@t6276)) % 1.61/1.83 (step @p9277 :rule nary_cong :premises (@p882 @p9199 @p3776) :args (@t6277)) % 1.61/1.83 (step @p9278 :rule nary_cong :premises (@p9277 @p9276 @p1178) :args (@t6278)) % 1.61/1.83 (step @p9279 :rule cong :premises (@p9278) :args ((forall @t179 @t6278))) % 1.61/1.83 (step @p9280 :rule trans :premises (@p9279 @p9275)) % 1.61/1.83 (step @p9281 :rule aci_norm :args ((= (or @t6277 (or @t6276 @t173)) @t6278))) % 1.61/1.83 (step @p9282 :rule aci_norm :args ((= (and @t197 @t6279) @t6276))) % 1.61/1.83 (step @p9283 :rule bool-implies-de-morgan :args (@t6 @t173)) % 1.61/1.83 (step @p9284 :rule nary_cong :premises (@p3166 @p9283) :args ((and @t197 @t6280))) % 1.61/1.83 (step @p9285 :rule trans :premises (@p9284 @p9282)) % 1.61/1.83 (step @p9286 :rule bool-implies-de-morgan :args (@t197 @t500)) % 1.61/1.83 (step @p9287 :rule trans :premises (@p9286 @p9285)) % 1.61/1.83 (step @p9288 :rule nary_cong :premises (@p9287 @p1178) :args ((or (not @t596) @t173))) % 1.61/1.83 (step @p9289 :rule bool-impl-elim :args (@t596 @t173)) % 1.61/1.83 (step @p9290 :rule trans :premises (@p9289 @p9288)) % 1.61/1.83 (step @p9291 :rule aci_norm :args ((= (and @t7 (and @t437 @t1063)) @t6277))) % 1.61/1.83 (step @p9292 :rule bool-implies-de-morgan :args (@t437 @t173)) % 1.61/1.83 (step @p9293 :rule nary_cong :premises (@p879 @p9292) :args ((and @t7 (not @t598)))) % 1.61/1.83 (step @p9294 :rule trans :premises (@p9293 @p9291)) % 1.61/1.83 (step @p9295 :rule bool-implies-de-morgan :args (@t7 @t598)) % 1.61/1.83 (step @p9296 :rule trans :premises (@p9295 @p9294)) % 1.61/1.83 (step @p9297 :rule nary_cong :premises (@p9296 @p9290) :args ((or (not @t599) @t597))) % 1.61/1.83 (step @p9298 :rule trans :premises (@p9297 @p9281)) % 1.61/1.83 (step @p9299 :rule bool-impl-elim :args (@t599 @t597)) % 1.61/1.83 (step @p9300 :rule trans :premises (@p9299 @p9298)) % 1.61/1.83 (step @p9301 :rule cong :premises (@p9300) :args (@t600)) % 1.61/1.83 (step @p9302 :rule trans :premises (@p9301 @p9280)) % 1.61/1.83 (step @p9303 :rule refl :args (@t602)) % 1.61/1.83 (step @p9304 :rule cong :premises (@p9303 @p9302) :args (@t603)) % 1.61/1.83 (step @p9305 :rule cong :premises (@p9304) :args (@t604)) % 1.61/1.83 (step @p9306 :rule trans :premises (@p9305 @p9255)) % 1.61/1.83 (step @p9307 :rule refl :args (tptp.symdiffE)) % 1.61/1.83 (step @p9308 :rule cong :premises (@p9307 @p9306) :args (@t605)) % 1.61/1.83 (step @p9309 :rule eq_resolve :premises (@p128 @p9308)) % 1.61/1.83 (step @p9310 :rule cong :premises (@p9309 @p9246) :args (@t6281)) % 1.61/1.83 (step @p9311 :rule refl :args (@t2997)) % 1.61/1.83 (step @p9312 :rule refl :args (@t422)) % 1.61/1.83 (step @p9313 :rule cong :premises (@p9312 @p9311) :args ((= @t422 @t2997))) % 1.61/1.83 (step @p9314 :rule symm :premises (@p9313)) % 1.61/1.83 (step @p9315 :rule eq_resolve :premises (@p9312 @p9314)) % 1.61/1.83 (step @p9316 :rule refl :args (@t2998)) % 1.61/1.83 (step @p9317 :rule refl :args (@t568)) % 1.61/1.83 (step @p9318 :rule cong :premises (@p9317 @p9316) :args ((= @t568 @t2998))) % 1.61/1.83 (step @p9319 :rule symm :premises (@p9318)) % 1.61/1.83 (step @p9320 :rule eq_resolve :premises (@p9317 @p9319)) % 1.61/1.83 (step @p9321 :rule cong :premises (@p359 @p9320) :args (@t6282)) % 1.61/1.83 (step @p9322 :rule cong :premises (@p9321) :args (@t6283)) % 1.61/1.83 (step @p9323 :rule nary_cong :premises (@p9322 @p9315) :args (@t6284)) % 1.61/1.83 (step @p9324 :rule cong :premises (@p9323) :args ((forall @t12 @t6284))) % 1.61/1.83 (step @p9325 :rule bool-impl-elim :args (@t6282 @t422)) % 1.61/1.83 (step @p9326 :rule cong :premises (@p9325) :args ((forall @t12 (=> @t6282 @t422)))) % 1.61/1.83 (step @p9327 :rule trans :premises (@p9326 @p9324)) % 1.61/1.83 (step @p9328 :rule refl :args (@t422)) % 1.61/1.83 (step @p9329 :rule eq-symm :args (@t568 tptp.emptyset)) % 1.61/1.83 (step @p9330 :rule cong :premises (@p9329 @p9328) :args (@t593)) % 1.61/1.83 (step @p9331 :rule cong :premises (@p9330) :args (@t594)) % 1.61/1.83 (step @p9332 :rule trans :premises (@p9331 @p9327)) % 1.61/1.83 (step @p9333 :rule refl :args (tptp.setminusSubset1)) % 1.61/1.83 (step @p9334 :rule cong :premises (@p9333 @p9332) :args (@t595)) % 1.61/1.83 (step @p9335 :rule eq_resolve :premises (@p127 @p9334)) % 1.61/1.83 (step @p9336 :rule cong :premises (@p9335 @p9310) :args (@t6285)) % 1.61/1.83 (step @p9337 :rule refl :args ((tptp.subset @t568 @t2))) % 1.61/1.83 (step @p9338 :rule cong :premises (@p9316 @p1066) :args (@t3001)) % 1.61/1.83 (step @p9339 :rule trans :premises (@p9338 @p9337)) % 1.61/1.83 (step @p9340 :rule ho_cong :premises (@p2731 @p9316)) % 1.61/1.83 (step @p9341 :rule ho_cong :premises (@p9340 @p1066)) % 1.61/1.83 (step @p9342 :rule cong :premises (@p9341 @p9339) :args ((= (_ (_ tptp.subset @t2998) @t2) @t3001))) % 1.61/1.83 (step @p9343 :rule symm :premises (@p9342)) % 1.61/1.83 (step @p9344 :rule refl :args (@t590)) % 1.61/1.83 (step @p9345 :rule eq_resolve :premises (@p9344 @p9343)) % 1.61/1.83 (step @p9346 :rule ho_cong :premises (@p2731 @p9320)) % 1.61/1.83 (step @p9347 :rule ho_cong :premises (@p9346 @p1066)) % 1.61/1.83 (step @p9348 :rule trans :premises (@p9347 @p9345)) % 1.61/1.83 (step @p9349 :rule cong :premises (@p9348) :args (@t591)) % 1.61/1.83 (step @p9350 :rule refl :args (tptp.setminusLsub)) % 1.61/1.83 (step @p9351 :rule cong :premises (@p9350 @p9349) :args (@t592)) % 1.61/1.83 (step @p9352 :rule eq_resolve :premises (@p126 @p9351)) % 1.61/1.83 (step @p9353 :rule cong :premises (@p9352 @p9336) :args (@t6286)) % 1.61/1.83 (step @p9354 :rule refl :args ((tptp.in @t4 @t568))) % 1.61/1.83 (step @p9355 :rule cong :premises (@p3047 @p9316) :args (@t3003)) % 1.61/1.83 (step @p9356 :rule trans :premises (@p9355 @p9354)) % 1.61/1.83 (step @p9357 :rule ho_cong :premises (@p3050 @p9316)) % 1.61/1.83 (step @p9358 :rule cong :premises (@p9357 @p9356) :args ((= (_ @t5 @t2998) @t3003))) % 1.61/1.83 (step @p9359 :rule symm :premises (@p9358)) % 1.61/1.83 (step @p9360 :rule refl :args (@t569)) % 1.61/1.83 (step @p9361 :rule eq_resolve :premises (@p9360 @p9359)) % 1.61/1.83 (step @p9362 :rule ho_cong :premises (@p3050 @p9320)) % 1.61/1.83 (step @p9363 :rule trans :premises (@p9362 @p9361)) % 1.61/1.83 (step @p9364 :rule cong :premises (@p9363) :args (@t581)) % 1.61/1.83 (step @p9365 :rule nary_cong :premises (@p9199 @p9364) :args (@t6287)) % 1.61/1.83 (step @p9366 :rule cong :premises (@p9365) :args ((forall @t245 @t6287))) % 1.61/1.83 (step @p9367 :rule bool-impl-elim :args (@t6 @t581)) % 1.61/1.83 (step @p9368 :rule cong :premises (@p9367) :args (@t588)) % 1.61/1.83 (step @p9369 :rule trans :premises (@p9368 @p9366)) % 1.61/1.83 (step @p9370 :rule refl :args (tptp.setminusIRneg)) % 1.61/1.83 (step @p9371 :rule cong :premises (@p9370 @p9369) :args (@t589)) % 1.61/1.83 (step @p9372 :rule eq_resolve :premises (@p125 @p9371)) % 1.61/1.83 (step @p9373 :rule cong :premises (@p9372 @p9353) :args (@t6288)) % 1.61/1.83 (step @p9374 :rule nary_cong :premises (@p882 @p9364) :args (@t6289)) % 1.61/1.83 (step @p9375 :rule cong :premises (@p9374) :args ((forall @t245 @t6289))) % 1.61/1.83 (step @p9376 :rule refl :args (@t581)) % 1.61/1.83 (step @p9377 :rule nary_cong :premises (@p9188 @p9376) :args ((or @t6258 @t581))) % 1.61/1.83 (step @p9378 :rule bool-impl-elim :args (@t197 @t581)) % 1.61/1.83 (step @p9379 :rule trans :premises (@p9378 @p9377)) % 1.61/1.83 (step @p9380 :rule cong :premises (@p9379) :args (@t586)) % 1.61/1.83 (step @p9381 :rule trans :premises (@p9380 @p9375)) % 1.61/1.83 (step @p9382 :rule refl :args (tptp.setminusILneg)) % 1.61/1.83 (step @p9383 :rule cong :premises (@p9382 @p9381) :args (@t587)) % 1.61/1.83 (step @p9384 :rule eq_resolve :premises (@p124 @p9383)) % 1.61/1.83 (step @p9385 :rule cong :premises (@p9384 @p9373) :args (@t6290)) % 1.61/1.83 (step @p9386 :rule nary_cong :premises (@p9363 @p9176 @p883) :args (@t6291)) % 1.61/1.83 (step @p9387 :rule cong :premises (@p9386) :args ((forall @t245 @t6291))) % 1.61/1.83 (step @p9388 :rule aci_norm :args ((= (or @t569 @t6292) @t6291))) % 1.61/1.83 (step @p9389 :rule nary_cong :premises (@p9181 @p3166) :args ((or @t6257 @t197))) % 1.61/1.83 (step @p9390 :rule bool-impl-elim :args (@t437 @t197)) % 1.61/1.83 (step @p9391 :rule trans :premises (@p9390 @p9389)) % 1.61/1.83 (step @p9392 :rule nary_cong :premises (@p9360 @p9391) :args ((or @t569 @t438))) % 1.61/1.83 (step @p9393 :rule trans :premises (@p9392 @p9388)) % 1.61/1.83 (step @p9394 :rule refl :args (@t438)) % 1.61/1.83 (step @p9395 :rule bool-double-not-elim :args (@t569)) % 1.61/1.83 (step @p9396 :rule nary_cong :premises (@p9395 @p9394) :args ((or @t6293 @t438))) % 1.61/1.83 (step @p9397 :rule bool-impl-elim :args (@t581 @t438)) % 1.61/1.83 (step @p9398 :rule trans :premises (@p9397 @p9396)) % 1.61/1.83 (step @p9399 :rule trans :premises (@p9398 @p9393)) % 1.61/1.83 (step @p9400 :rule cong :premises (@p9399) :args (@t584)) % 1.61/1.83 (step @p9401 :rule trans :premises (@p9400 @p9387)) % 1.61/1.83 (step @p9402 :rule refl :args (tptp.setminusELneg)) % 1.61/1.83 (step @p9403 :rule cong :premises (@p9402 @p9401) :args (@t585)) % 1.61/1.83 (step @p9404 :rule eq_resolve :premises (@p123 @p9403)) % 1.61/1.83 (step @p9405 :rule cong :premises (@p9404 @p9385) :args (@t6294)) % 1.61/1.83 (step @p9406 :rule nary_cong :premises (@p9363 @p883 @p9176) :args (@t6295)) % 1.61/1.83 (step @p9407 :rule cong :premises (@p9406) :args ((forall @t245 @t6295))) % 1.61/1.83 (step @p9408 :rule aci_norm :args ((= (or @t569 @t6296) @t6295))) % 1.61/1.83 (step @p9409 :rule bool-impl-elim :args (@t7 @t6)) % 1.61/1.83 (step @p9410 :rule nary_cong :premises (@p9360 @p9409) :args ((or @t569 @t191))) % 1.61/1.83 (step @p9411 :rule trans :premises (@p9410 @p9408)) % 1.61/1.83 (step @p9412 :rule refl :args (@t191)) % 1.61/1.83 (step @p9413 :rule nary_cong :premises (@p9395 @p9412) :args ((or @t6293 @t191))) % 1.61/1.83 (step @p9414 :rule bool-impl-elim :args (@t581 @t191)) % 1.61/1.83 (step @p9415 :rule trans :premises (@p9414 @p9413)) % 1.61/1.83 (step @p9416 :rule trans :premises (@p9415 @p9411)) % 1.61/1.83 (step @p9417 :rule cong :premises (@p9416) :args (@t582)) % 1.61/1.83 (step @p9418 :rule trans :premises (@p9417 @p9407)) % 1.61/1.83 (step @p9419 :rule refl :args (tptp.setminusERneg)) % 1.61/1.83 (step @p9420 :rule cong :premises (@p9419 @p9418) :args (@t583)) % 1.61/1.83 (step @p9421 :rule eq_resolve :premises (@p122 @p9420)) % 1.61/1.83 (step @p9422 :rule cong :premises (@p9421 @p9405) :args (@t6297)) % 1.61/1.83 (step @p9423 :rule cong :premises (@p9315) :args (@t441)) % 1.61/1.83 (step @p9424 :rule nary_cong :premises (@p9423 @p9321) :args (@t6298)) % 1.61/1.83 (step @p9425 :rule cong :premises (@p9424) :args ((forall @t12 @t6298))) % 1.61/1.83 (step @p9426 :rule bool-impl-elim :args (@t422 @t6282)) % 1.61/1.83 (step @p9427 :rule cong :premises (@p9426) :args ((forall @t12 (=> @t422 @t6282)))) % 1.61/1.83 (step @p9428 :rule trans :premises (@p9427 @p9425)) % 1.61/1.83 (step @p9429 :rule cong :premises (@p9328 @p9329) :args (@t578)) % 1.61/1.83 (step @p9430 :rule cong :premises (@p9429) :args (@t579)) % 1.61/1.83 (step @p9431 :rule trans :premises (@p9430 @p9428)) % 1.61/1.83 (step @p9432 :rule refl :args (tptp.setminusSubset2)) % 1.61/1.83 (step @p9433 :rule cong :premises (@p9432 @p9431) :args (@t580)) % 1.61/1.83 (step @p9434 :rule eq_resolve :premises (@p121 @p9433)) % 1.61/1.83 (step @p9435 :rule cong :premises (@p9434 @p9422) :args (@t6299)) % 1.61/1.83 (step @p9436 :rule nary_cong :premises (@p9364 @p9199) :args (@t6300)) % 1.61/1.83 (step @p9437 :rule cong :premises (@p9436) :args ((forall @t245 @t6300))) % 1.61/1.83 (step @p9438 :rule bool-impl-elim :args (@t569 @t437)) % 1.61/1.83 (step @p9439 :rule cong :premises (@p9438) :args (@t575)) % 1.61/1.83 (step @p9440 :rule trans :premises (@p9439 @p9437)) % 1.61/1.83 (step @p9441 :rule refl :args (tptp.setminusER)) % 1.61/1.83 (step @p9442 :rule cong :premises (@p9441 @p9440) :args (@t576)) % 1.61/1.83 (step @p9443 :rule eq_resolve :premises (@p120 @p9442)) % 1.61/1.83 (step @p9444 :rule cong :premises (@p9443 @p9435) :args (@t6301)) % 1.61/1.83 (step @p9445 :rule nary_cong :premises (@p9364 @p882) :args (@t6302)) % 1.61/1.83 (step @p9446 :rule cong :premises (@p9445) :args ((forall @t245 @t6302))) % 1.61/1.83 (step @p9447 :rule bool-impl-elim :args (@t569 @t7)) % 1.61/1.83 (step @p9448 :rule cong :premises (@p9447) :args (@t573)) % 1.61/1.83 (step @p9449 :rule trans :premises (@p9448 @p9446)) % 1.61/1.83 (step @p9450 :rule refl :args (tptp.setminusEL)) % 1.61/1.83 (step @p9451 :rule cong :premises (@p9450 @p9449) :args (@t574)) % 1.61/1.83 (step @p9452 :rule eq_resolve :premises (@p119 @p9451)) % 1.61/1.83 (step @p9453 :rule cong :premises (@p9452 @p9444) :args (@t6303)) % 1.61/1.83 (step @p9454 :rule nary_cong :premises (@p883 @p9176 @p9363) :args (@t6304)) % 1.61/1.83 (step @p9455 :rule cong :premises (@p9454) :args ((forall @t245 @t6304))) % 1.61/1.83 (step @p9456 :rule aci_norm :args ((= (or @t197 (or @t6 @t569)) @t6304))) % 1.61/1.83 (step @p9457 :rule nary_cong :premises (@p9181 @p9360) :args ((or @t6257 @t569))) % 1.61/1.83 (step @p9458 :rule bool-impl-elim :args (@t437 @t569)) % 1.61/1.83 (step @p9459 :rule trans :premises (@p9458 @p9457)) % 1.61/1.83 (step @p9460 :rule nary_cong :premises (@p3166 @p9459) :args ((or @t197 @t570))) % 1.61/1.83 (step @p9461 :rule trans :premises (@p9460 @p9456)) % 1.61/1.83 (step @p9462 :rule bool-impl-elim :args (@t7 @t570)) % 1.61/1.83 (step @p9463 :rule trans :premises (@p9462 @p9461)) % 1.61/1.83 (step @p9464 :rule cong :premises (@p9463) :args (@t571)) % 1.61/1.83 (step @p9465 :rule trans :premises (@p9464 @p9455)) % 1.61/1.83 (step @p9466 :rule refl :args (tptp.setminusI)) % 1.61/1.83 (step @p9467 :rule cong :premises (@p9466 @p9465) :args (@t572)) % 1.61/1.83 (step @p9468 :rule eq_resolve :premises (@p118 @p9467)) % 1.61/1.83 (step @p9469 :rule cong :premises (@p9468 @p9453) :args (@t6305)) % 1.61/1.83 (step @p9470 :rule refl :args ((tptp.binunion @t517 @t560))) % 1.61/1.83 (step @p9471 :rule refl :args (@t3014)) % 1.61/1.83 (step @p9472 :rule refl :args (@t3015)) % 1.61/1.83 (step @p9473 :rule cong :premises (@p9472 @p9471) :args (@t3016)) % 1.61/1.83 (step @p9474 :rule trans :premises (@p9473 @p9470)) % 1.61/1.83 (step @p9475 :rule ho_cong :premises (@p2502 @p9472)) % 1.61/1.83 (step @p9476 :rule ho_cong :premises (@p9475 @p9471)) % 1.61/1.83 (step @p9477 :rule cong :premises (@p9476 @p9474) :args ((= (_ (_ tptp.binunion @t3015) @t3014) @t3016))) % 1.61/1.83 (step @p9478 :rule symm :premises (@p9477)) % 1.61/1.83 (step @p9479 :rule refl :args (@t561)) % 1.61/1.83 (step @p9480 :rule eq_resolve :premises (@p9479 @p9478)) % 1.61/1.83 (step @p9481 :rule refl :args (@t560)) % 1.61/1.83 (step @p9482 :rule cong :premises (@p9481 @p9471) :args ((= @t560 @t3014))) % 1.61/1.83 (step @p9483 :rule symm :premises (@p9482)) % 1.61/1.83 (step @p9484 :rule eq_resolve :premises (@p9481 @p9483)) % 1.61/1.83 (step @p9485 :rule refl :args (@t517)) % 1.61/1.83 (step @p9486 :rule cong :premises (@p9485 @p9472) :args ((= @t517 @t3015))) % 1.61/1.83 (step @p9487 :rule symm :premises (@p9486)) % 1.61/1.83 (step @p9488 :rule eq_resolve :premises (@p9485 @p9487)) % 1.61/1.83 (step @p9489 :rule ho_cong :premises (@p2502 @p9488)) % 1.61/1.83 (step @p9490 :rule ho_cong :premises (@p9489 @p9484)) % 1.61/1.83 (step @p9491 :rule trans :premises (@p9490 @p9480)) % 1.61/1.83 (step @p9492 :rule refl :args ((tptp.binintersect @t2 @t562))) % 1.61/1.83 (step @p9493 :rule refl :args (@t3017)) % 1.61/1.83 (step @p9494 :rule cong :premises (@p1066 @p9493) :args (@t3018)) % 1.61/1.83 (step @p9495 :rule trans :premises (@p9494 @p9492)) % 1.61/1.83 (step @p9496 :rule refl :args (@t516)) % 1.61/1.83 (step @p9497 :rule ho_cong :premises (@p9496 @p9493)) % 1.61/1.83 (step @p9498 :rule cong :premises (@p9497 @p9495) :args ((= (_ @t516 @t3017) @t3018))) % 1.61/1.83 (step @p9499 :rule symm :premises (@p9498)) % 1.61/1.83 (step @p9500 :rule refl :args (@t563)) % 1.61/1.83 (step @p9501 :rule eq_resolve :premises (@p9500 @p9499)) % 1.61/1.83 (step @p9502 :rule refl :args (@t562)) % 1.61/1.83 (step @p9503 :rule cong :premises (@p9502 @p9493) :args ((= @t562 @t3017))) % 1.61/1.83 (step @p9504 :rule symm :premises (@p9503)) % 1.61/1.83 (step @p9505 :rule eq_resolve :premises (@p9502 @p9504)) % 1.61/1.83 (step @p9506 :rule ho_cong :premises (@p9496 @p9505)) % 1.61/1.83 (step @p9507 :rule trans :premises (@p9506 @p9501)) % 1.61/1.83 (step @p9508 :rule cong :premises (@p9507 @p9491) :args (@t564)) % 1.61/1.83 (step @p9509 :rule cong :premises (@p9508) :args (@t565)) % 1.61/1.83 (step @p9510 :rule refl :args (tptp.bs114d)) % 1.61/1.83 (step @p9511 :rule cong :premises (@p9510 @p9509) :args (@t566)) % 1.61/1.83 (step @p9512 :rule eq_resolve :premises (@p117 @p9511)) % 1.61/1.83 (step @p9513 :rule cong :premises (@p9512 @p9469) :args (@t6306)) % 1.61/1.83 (step @p9514 :rule cong :premises (@p1066 @p9488) :args (@t6307)) % 1.61/1.83 (step @p9515 :rule cong :premises (@p9514) :args (@t6308)) % 1.61/1.83 (step @p9516 :rule nary_cong :premises (@p9515 @p9315) :args (@t6309)) % 1.61/1.83 (step @p9517 :rule cong :premises (@p9516) :args ((forall @t12 @t6309))) % 1.61/1.83 (step @p9518 :rule bool-impl-elim :args (@t6307 @t422)) % 1.61/1.83 (step @p9519 :rule cong :premises (@p9518) :args ((forall @t12 (=> @t6307 @t422)))) % 1.61/1.83 (step @p9520 :rule trans :premises (@p9519 @p9517)) % 1.61/1.83 (step @p9521 :rule eq-symm :args (@t517 @t2)) % 1.61/1.83 (step @p9522 :rule cong :premises (@p9521 @p9328) :args (@t557)) % 1.61/1.83 (step @p9523 :rule cong :premises (@p9522) :args (@t558)) % 1.61/1.83 (step @p9524 :rule trans :premises (@p9523 @p9520)) % 1.61/1.83 (step @p9525 :rule refl :args (tptp.binintersectSubset1)) % 1.61/1.83 (step @p9526 :rule cong :premises (@p9525 @p9524) :args (@t559)) % 1.61/1.83 (step @p9527 :rule eq_resolve :premises (@p116 @p9526)) % 1.61/1.83 (step @p9528 :rule cong :premises (@p9527 @p9513) :args (@t6310)) % 1.61/1.83 (step @p9529 :rule cong :premises (@p1998 @p9488) :args (@t6311)) % 1.61/1.83 (step @p9530 :rule refl :args (@t3023)) % 1.61/1.83 (step @p9531 :rule refl :args (@t427)) % 1.61/1.83 (step @p9532 :rule cong :premises (@p9531 @p9530) :args ((= @t427 @t3023))) % 1.61/1.83 (step @p9533 :rule symm :premises (@p9532)) % 1.61/1.83 (step @p9534 :rule eq_resolve :premises (@p9531 @p9533)) % 1.61/1.83 (step @p9535 :rule cong :premises (@p9534) :args (@t6312)) % 1.61/1.83 (step @p9536 :rule nary_cong :premises (@p9535 @p9529) :args (@t6313)) % 1.61/1.83 (step @p9537 :rule cong :premises (@p9536) :args ((forall @t12 @t6313))) % 1.61/1.83 (step @p9538 :rule bool-impl-elim :args (@t427 @t6311)) % 1.61/1.83 (step @p9539 :rule cong :premises (@p9538) :args ((forall @t12 (=> @t427 @t6311)))) % 1.61/1.83 (step @p9540 :rule trans :premises (@p9539 @p9537)) % 1.61/1.83 (step @p9541 :rule eq-symm :args (@t517 @t1)) % 1.61/1.83 (step @p9542 :rule refl :args (@t427)) % 1.61/1.83 (step @p9543 :rule cong :premises (@p9542 @p9541) :args (@t554)) % 1.61/1.83 (step @p9544 :rule cong :premises (@p9543) :args (@t555)) % 1.61/1.83 (step @p9545 :rule trans :premises (@p9544 @p9540)) % 1.61/1.83 (step @p9546 :rule refl :args (tptp.binintersectSubset4)) % 1.61/1.83 (step @p9547 :rule cong :premises (@p9546 @p9545) :args (@t556)) % 1.61/1.83 (step @p9548 :rule eq_resolve :premises (@p115 @p9547)) % 1.61/1.83 (step @p9549 :rule cong :premises (@p9548 @p9528) :args (@t6314)) % 1.61/1.83 (step @p9550 :rule refl :args ((tptp.subset @t517 @t1))) % 1.61/1.83 (step @p9551 :rule cong :premises (@p9472 @p1998) :args (@t3026)) % 1.61/1.83 (step @p9552 :rule trans :premises (@p9551 @p9550)) % 1.61/1.83 (step @p9553 :rule ho_cong :premises (@p2731 @p9472)) % 1.61/1.83 (step @p9554 :rule ho_cong :premises (@p9553 @p1998)) % 1.61/1.83 (step @p9555 :rule cong :premises (@p9554 @p9552) :args ((= (_ @t6315 @t1) @t3026))) % 1.61/1.83 (step @p9556 :rule symm :premises (@p9555)) % 1.61/1.83 (step @p9557 :rule refl :args (@t551)) % 1.61/1.83 (step @p9558 :rule eq_resolve :premises (@p9557 @p9556)) % 1.61/1.83 (step @p9559 :rule ho_cong :premises (@p2731 @p9488)) % 1.61/1.83 (step @p9560 :rule ho_cong :premises (@p9559 @p1998)) % 1.61/1.83 (step @p9561 :rule trans :premises (@p9560 @p9558)) % 1.61/1.83 (step @p9562 :rule cong :premises (@p9561) :args (@t552)) % 1.61/1.83 (step @p9563 :rule refl :args (tptp.binintersectRsub)) % 1.61/1.83 (step @p9564 :rule cong :premises (@p9563 @p9562) :args (@t553)) % 1.61/1.83 (step @p9565 :rule eq_resolve :premises (@p114 @p9564)) % 1.61/1.83 (step @p9566 :rule cong :premises (@p9565 @p9549) :args (@t6316)) % 1.61/1.83 (step @p9567 :rule cong :premises (@p359 @p9488) :args (@t6317)) % 1.61/1.83 (step @p9568 :rule refl :args (@t3029)) % 1.61/1.83 (step @p9569 :rule nary_cong :premises (@p9568 @p9567) :args (@t6318)) % 1.61/1.83 (step @p9570 :rule cong :premises (@p9569) :args ((forall @t12 @t6318))) % 1.61/1.83 (step @p9571 :rule bool-impl-elim :args (@t3028 @t6317)) % 1.61/1.83 (step @p9572 :rule cong :premises (@p9571) :args ((forall @t12 (=> @t3028 @t6317)))) % 1.61/1.83 (step @p9573 :rule trans :premises (@p9572 @p9570)) % 1.61/1.83 (step @p9574 :rule eq-symm :args (@t517 tptp.emptyset)) % 1.61/1.83 (step @p9575 :rule bool-double-not-elim :args (@t3028)) % 1.61/1.83 (step @p9576 :rule nary_cong :premises (@p883 @p9199) :args (@t6319)) % 1.61/1.83 (step @p9577 :rule cong :premises (@p9576) :args ((forall @t9 @t6319))) % 1.61/1.83 (step @p9578 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 1.61/1.83 (step @p9579 :rule cong :premises (@p9578) :args (@t6320)) % 1.61/1.83 (step @p9580 :rule trans :premises (@p9579 @p9577)) % 1.61/1.83 (step @p9581 :rule cong :premises (@p9580) :args (@t6321)) % 1.61/1.83 (step @p9582 :rule exists-elim :args ((= @t546 @t6321))) % 1.61/1.83 (step @p9583 :rule trans :premises (@p9582 @p9581)) % 1.61/1.83 (step @p9584 :rule cong :premises (@p9583) :args (@t547)) % 1.61/1.83 (step @p9585 :rule trans :premises (@p9584 @p9575)) % 1.61/1.83 (step @p9586 :rule cong :premises (@p9585 @p9574) :args (@t548)) % 1.61/1.83 (step @p9587 :rule cong :premises (@p9586) :args (@t549)) % 1.61/1.83 (step @p9588 :rule trans :premises (@p9587 @p9573)) % 1.61/1.83 (step @p9589 :rule refl :args (tptp.disjointsetsI1)) % 1.61/1.83 (step @p9590 :rule cong :premises (@p9589 @p9588) :args (@t550)) % 1.61/1.83 (step @p9591 :rule eq_resolve :premises (@p113 @p9590)) % 1.61/1.83 (step @p9592 :rule cong :premises (@p9591 @p9566) :args (@t6322)) % 1.61/1.83 (step @p9593 :rule refl :args ((tptp.in @t4 @t517))) % 1.61/1.83 (step @p9594 :rule cong :premises (@p3047 @p9472) :args (@t3031)) % 1.61/1.83 (step @p9595 :rule trans :premises (@p9594 @p9593)) % 1.61/1.83 (step @p9596 :rule ho_cong :premises (@p3050 @p9472)) % 1.61/1.83 (step @p9597 :rule cong :premises (@p9596 @p9595) :args ((= (_ @t5 @t3015) @t3031))) % 1.61/1.83 (step @p9598 :rule symm :premises (@p9597)) % 1.61/1.83 (step @p9599 :rule refl :args (@t518)) % 1.61/1.83 (step @p9600 :rule eq_resolve :premises (@p9599 @p9598)) % 1.61/1.83 (step @p9601 :rule ho_cong :premises (@p3050 @p9488)) % 1.61/1.83 (step @p9602 :rule trans :premises (@p9601 @p9600)) % 1.61/1.83 (step @p9603 :rule cong :premises (@p9602) :args (@t6323)) % 1.61/1.83 (step @p9604 :rule nary_cong :premises (@p9603 @p9176) :args (@t6324)) % 1.61/1.83 (step @p9605 :rule cong :premises (@p9604) :args ((forall @t245 @t6324))) % 1.61/1.83 (step @p9606 :rule bool-impl-elim :args (@t518 @t6)) % 1.61/1.83 (step @p9607 :rule cong :premises (@p9606) :args (@t543)) % 1.61/1.83 (step @p9608 :rule trans :premises (@p9607 @p9605)) % 1.61/1.83 (step @p9609 :rule refl :args (tptp.binintersectER)) % 1.61/1.83 (step @p9610 :rule cong :premises (@p9609 @p9608) :args (@t544)) % 1.61/1.83 (step @p9611 :rule eq_resolve :premises (@p112 @p9610)) % 1.61/1.83 (step @p9612 :rule cong :premises (@p9611 @p9592) :args (@t6325)) % 1.61/1.83 (step @p9613 :rule cong :premises (@p9529) :args (@t6326)) % 1.61/1.83 (step @p9614 :rule nary_cong :premises (@p9613 @p9534) :args (@t6327)) % 1.61/1.83 (step @p9615 :rule cong :premises (@p9614) :args ((forall @t12 @t6327))) % 1.61/1.83 (step @p9616 :rule bool-impl-elim :args (@t6311 @t427)) % 1.61/1.83 (step @p9617 :rule cong :premises (@p9616) :args ((forall @t12 (=> @t6311 @t427)))) % 1.61/1.83 (step @p9618 :rule trans :premises (@p9617 @p9615)) % 1.61/1.83 (step @p9619 :rule cong :premises (@p9541 @p9542) :args (@t540)) % 1.61/1.83 (step @p9620 :rule cong :premises (@p9619) :args (@t541)) % 1.61/1.83 (step @p9621 :rule trans :premises (@p9620 @p9618)) % 1.61/1.83 (step @p9622 :rule refl :args (tptp.binintersectSubset3)) % 1.61/1.83 (step @p9623 :rule cong :premises (@p9622 @p9621) :args (@t542)) % 1.61/1.83 (step @p9624 :rule eq_resolve :premises (@p111 @p9623)) % 1.61/1.83 (step @p9625 :rule cong :premises (@p9624 @p9612) :args (@t6328)) % 1.61/1.83 (step @p9626 :rule nary_cong :premises (@p9423 @p9514) :args (@t6329)) % 1.61/1.83 (step @p9627 :rule cong :premises (@p9626) :args ((forall @t12 @t6329))) % 1.61/1.83 (step @p9628 :rule bool-impl-elim :args (@t422 @t6307)) % 1.61/1.83 (step @p9629 :rule cong :premises (@p9628) :args ((forall @t12 (=> @t422 @t6307)))) % 1.61/1.83 (step @p9630 :rule trans :premises (@p9629 @p9627)) % 1.61/1.83 (step @p9631 :rule cong :premises (@p9328 @p9521) :args (@t536)) % 1.61/1.83 (step @p9632 :rule cong :premises (@p9631) :args (@t537)) % 1.61/1.83 (step @p9633 :rule trans :premises (@p9632 @p9630)) % 1.61/1.83 (step @p9634 :rule refl :args (tptp.binintersectSubset2)) % 1.61/1.83 (step @p9635 :rule cong :premises (@p9634 @p9633) :args (@t538)) % 1.61/1.83 (step @p9636 :rule eq_resolve :premises (@p110 @p9635)) % 1.61/1.83 (step @p9637 :rule cong :premises (@p9636 @p9625) :args (@t6330)) % 1.61/1.83 (step @p9638 :rule refl :args ((tptp.subset @t517 @t2))) % 1.61/1.83 (step @p9639 :rule cong :premises (@p9472 @p1066) :args (@t3036)) % 1.61/1.83 (step @p9640 :rule trans :premises (@p9639 @p9638)) % 1.61/1.83 (step @p9641 :rule ho_cong :premises (@p9553 @p1066)) % 1.61/1.83 (step @p9642 :rule cong :premises (@p9641 @p9640) :args ((= (_ @t6315 @t2) @t3036))) % 1.61/1.83 (step @p9643 :rule symm :premises (@p9642)) % 1.61/1.83 (step @p9644 :rule refl :args (@t532)) % 1.61/1.83 (step @p9645 :rule eq_resolve :premises (@p9644 @p9643)) % 1.61/1.83 (step @p9646 :rule ho_cong :premises (@p9559 @p1066)) % 1.61/1.83 (step @p9647 :rule trans :premises (@p9646 @p9645)) % 1.61/1.83 (step @p9648 :rule cong :premises (@p9647) :args (@t533)) % 1.61/1.83 (step @p9649 :rule refl :args (tptp.binintersectLsub)) % 1.61/1.83 (step @p9650 :rule cong :premises (@p9649 @p9648) :args (@t534)) % 1.61/1.83 (step @p9651 :rule eq_resolve :premises (@p109 @p9650)) % 1.61/1.83 (step @p9652 :rule cong :premises (@p9651 @p9637) :args (@t6331)) % 1.61/1.83 (step @p9653 :rule nary_cong :premises (@p9603 @p882) :args (@t6332)) % 1.61/1.83 (step @p9654 :rule cong :premises (@p9653) :args ((forall @t245 @t6332))) % 1.61/1.83 (step @p9655 :rule bool-impl-elim :args (@t518 @t7)) % 1.61/1.83 (step @p9656 :rule cong :premises (@p9655) :args (@t529)) % 1.61/1.83 (step @p9657 :rule trans :premises (@p9656 @p9654)) % 1.61/1.83 (step @p9658 :rule refl :args (tptp.binintersectEL)) % 1.61/1.83 (step @p9659 :rule cong :premises (@p9658 @p9657) :args (@t530)) % 1.61/1.83 (step @p9660 :rule eq_resolve :premises (@p108 @p9659)) % 1.61/1.83 (step @p9661 :rule cong :premises (@p9660 @p9652) :args (@t6333)) % 1.61/1.83 (step @p9662 :rule refl :args ((tptp.subset @t104 @t517))) % 1.61/1.83 (step @p9663 :rule refl :args (@t104)) % 1.61/1.83 (step @p9664 :rule cong :premises (@p9663 @p9472) :args (@t3039)) % 1.61/1.83 (step @p9665 :rule trans :premises (@p9664 @p9662)) % 1.61/1.83 (step @p9666 :rule refl :args (@t522)) % 1.61/1.83 (step @p9667 :rule ho_cong :premises (@p9666 @p9472)) % 1.61/1.83 (step @p9668 :rule cong :premises (@p9667 @p9665) :args ((= (_ @t522 @t3015) @t3039))) % 1.61/1.83 (step @p9669 :rule symm :premises (@p9668)) % 1.61/1.83 (step @p9670 :rule refl :args (@t523)) % 1.61/1.83 (step @p9671 :rule eq_resolve :premises (@p9670 @p9669)) % 1.61/1.83 (step @p9672 :rule ho_cong :premises (@p9666 @p9488)) % 1.61/1.83 (step @p9673 :rule trans :premises (@p9672 @p9671)) % 1.61/1.83 (step @p9674 :rule refl :args (@t3040)) % 1.61/1.83 (step @p9675 :rule refl :args (@t524)) % 1.61/1.83 (step @p9676 :rule cong :premises (@p9675 @p9674) :args ((= @t524 @t3040))) % 1.61/1.83 (step @p9677 :rule symm :premises (@p9676)) % 1.61/1.83 (step @p9678 :rule eq_resolve :premises (@p9675 @p9677)) % 1.61/1.83 (step @p9679 :rule cong :premises (@p9678) :args (@t6334)) % 1.61/1.83 (step @p9680 :rule refl :args (@t3041)) % 1.61/1.83 (step @p9681 :rule refl :args (@t526)) % 1.61/1.83 (step @p9682 :rule cong :premises (@p9681 @p9680) :args ((= @t526 @t3041))) % 1.61/1.83 (step @p9683 :rule symm :premises (@p9682)) % 1.61/1.83 (step @p9684 :rule eq_resolve :premises (@p9681 @p9683)) % 1.61/1.83 (step @p9685 :rule cong :premises (@p9684) :args (@t6335)) % 1.61/1.83 (step @p9686 :rule nary_cong :premises (@p9685 @p9679 @p9673) :args (@t6336)) % 1.61/1.83 (step @p9687 :rule cong :premises (@p9686) :args ((forall @t457 @t6336))) % 1.61/1.83 (step @p9688 :rule aci_norm :args ((= (or @t6335 (or @t6334 @t523)) @t6336))) % 1.61/1.83 (step @p9689 :rule bool-impl-elim :args (@t524 @t523)) % 1.61/1.83 (step @p9690 :rule refl :args (@t6335)) % 1.61/1.83 (step @p9691 :rule nary_cong :premises (@p9690 @p9689) :args ((or @t6335 @t525))) % 1.61/1.83 (step @p9692 :rule trans :premises (@p9691 @p9688)) % 1.61/1.83 (step @p9693 :rule bool-impl-elim :args (@t526 @t525)) % 1.61/1.83 (step @p9694 :rule trans :premises (@p9693 @p9692)) % 1.61/1.83 (step @p9695 :rule cong :premises (@p9694) :args (@t527)) % 1.61/1.83 (step @p9696 :rule trans :premises (@p9695 @p9687)) % 1.61/1.83 (step @p9697 :rule refl :args (tptp.binintersectSubset5)) % 1.61/1.83 (step @p9698 :rule cong :premises (@p9697 @p9696) :args (@t528)) % 1.61/1.83 (step @p9699 :rule eq_resolve :premises (@p107 @p9698)) % 1.61/1.83 (step @p9700 :rule cong :premises (@p9699 @p9661) :args (@t6337)) % 1.61/1.83 (step @p9701 :rule nary_cong :premises (@p883 @p9199 @p9602) :args (@t6338)) % 1.61/1.83 (step @p9702 :rule cong :premises (@p9701) :args ((forall @t245 @t6338))) % 1.61/1.83 (step @p9703 :rule aci_norm :args ((= (or @t197 (or @t437 @t518)) @t6338))) % 1.61/1.83 (step @p9704 :rule bool-impl-elim :args (@t6 @t518)) % 1.61/1.83 (step @p9705 :rule nary_cong :premises (@p3166 @p9704) :args ((or @t197 @t519))) % 1.61/1.83 (step @p9706 :rule trans :premises (@p9705 @p9703)) % 1.61/1.83 (step @p9707 :rule bool-impl-elim :args (@t7 @t519)) % 1.61/1.83 (step @p9708 :rule trans :premises (@p9707 @p9706)) % 1.61/1.83 (step @p9709 :rule cong :premises (@p9708) :args (@t520)) % 1.61/1.83 (step @p9710 :rule trans :premises (@p9709 @p9702)) % 1.61/1.83 (step @p9711 :rule refl :args (tptp.binintersectI)) % 1.61/1.83 (step @p9712 :rule cong :premises (@p9711 @p9710) :args (@t521)) % 1.61/1.83 (step @p9713 :rule eq_resolve :premises (@p106 @p9712)) % 1.61/1.83 (step @p9714 :rule cong :premises (@p9713 @p9700) :args (@t6339)) % 1.61/1.83 (step @p9715 :rule refl :args ((tptp.subset @t1 @t494))) % 1.61/1.83 (step @p9716 :rule cong :premises (@p1998 @p8762) :args (@t3044)) % 1.61/1.83 (step @p9717 :rule trans :premises (@p9716 @p9715)) % 1.61/1.83 (step @p9718 :rule refl :args (@t426)) % 1.61/1.83 (step @p9719 :rule ho_cong :premises (@p9718 @p8762)) % 1.61/1.83 (step @p9720 :rule cong :premises (@p9719 @p9717) :args ((= (_ @t426 @t2932) @t3044))) % 1.61/1.83 (step @p9721 :rule symm :premises (@p9720)) % 1.61/1.83 (step @p9722 :rule refl :args (@t513)) % 1.61/1.83 (step @p9723 :rule eq_resolve :premises (@p9722 @p9721)) % 1.61/1.83 (step @p9724 :rule ho_cong :premises (@p9718 @p8787)) % 1.61/1.83 (step @p9725 :rule trans :premises (@p9724 @p9723)) % 1.61/1.83 (step @p9726 :rule cong :premises (@p9725) :args (@t514)) % 1.61/1.83 (step @p9727 :rule refl :args (tptp.binunionRsub)) % 1.61/1.83 (step @p9728 :rule cong :premises (@p9727 @p9726) :args (@t515)) % 1.61/1.83 (step @p9729 :rule eq_resolve :premises (@p105 @p9728)) % 1.61/1.83 (step @p9730 :rule cong :premises (@p9729 @p9714) :args (@t6340)) % 1.61/1.83 (step @p9731 :rule refl :args ((tptp.subset @t2 @t494))) % 1.61/1.83 (step @p9732 :rule cong :premises (@p1066 @p8762) :args (@t3046)) % 1.61/1.83 (step @p9733 :rule trans :premises (@p9732 @p9731)) % 1.61/1.83 (step @p9734 :rule ho_cong :premises (@p8567 @p8762)) % 1.61/1.83 (step @p9735 :rule cong :premises (@p9734 @p9733) :args ((= (_ @t421 @t2932) @t3046))) % 1.61/1.83 (step @p9736 :rule symm :premises (@p9735)) % 1.61/1.83 (step @p9737 :rule refl :args (@t510)) % 1.61/1.83 (step @p9738 :rule eq_resolve :premises (@p9737 @p9736)) % 1.61/1.83 (step @p9739 :rule ho_cong :premises (@p8567 @p8787)) % 1.61/1.83 (step @p9740 :rule trans :premises (@p9739 @p9738)) % 1.61/1.83 (step @p9741 :rule cong :premises (@p9740) :args (@t511)) % 1.61/1.83 (step @p9742 :rule refl :args (tptp.binunionLsub)) % 1.61/1.83 (step @p9743 :rule cong :premises (@p9742 @p9741) :args (@t512)) % 1.61/1.83 (step @p9744 :rule eq_resolve :premises (@p104 @p9743)) % 1.61/1.83 (step @p9745 :rule cong :premises (@p9744 @p9730) :args (@t6341)) % 1.61/1.83 (step @p9746 :rule refl :args ((tptp.in @t4 @t494))) % 1.61/1.83 (step @p9747 :rule cong :premises (@p3047 @p8762) :args (@t3048)) % 1.61/1.83 (step @p9748 :rule trans :premises (@p9747 @p9746)) % 1.61/1.83 (step @p9749 :rule ho_cong :premises (@p3050 @p8762)) % 1.61/1.83 (step @p9750 :rule cong :premises (@p9749 @p9748) :args ((= (_ @t5 @t2932) @t3048))) % 1.61/1.83 (step @p9751 :rule symm :premises (@p9750)) % 1.61/1.83 (step @p9752 :rule refl :args (@t495)) % 1.61/1.83 (step @p9753 :rule eq_resolve :premises (@p9752 @p9751)) % 1.61/1.83 (step @p9754 :rule ho_cong :premises (@p3050 @p8787)) % 1.61/1.83 (step @p9755 :rule trans :premises (@p9754 @p9753)) % 1.61/1.83 (step @p9756 :rule cong :premises (@p9755) :args (@t6342)) % 1.61/1.83 (step @p9757 :rule nary_cong :premises (@p9756 @p882 @p9176) :args (@t6343)) % 1.61/1.83 (step @p9758 :rule cong :premises (@p9757) :args ((forall @t245 @t6343))) % 1.61/1.83 (step @p9759 :rule aci_norm :args ((= (or @t6342 @t507) @t6343))) % 1.61/1.83 (step @p9760 :rule bool-impl-elim :args (@t495 @t507)) % 1.61/1.83 (step @p9761 :rule trans :premises (@p9760 @p9759)) % 1.61/1.83 (step @p9762 :rule cong :premises (@p9761) :args (@t508)) % 1.61/1.83 (step @p9763 :rule trans :premises (@p9762 @p9758)) % 1.61/1.83 (step @p9764 :rule refl :args (tptp.binunionE)) % 1.61/1.83 (step @p9765 :rule cong :premises (@p9764 @p9763) :args (@t509)) % 1.61/1.83 (step @p9766 :rule eq_resolve :premises (@p103 @p9765)) % 1.61/1.83 (step @p9767 :rule cong :premises (@p9766 @p9745) :args (@t6344)) % 1.61/1.83 (step @p9768 :rule aci_norm :args ((= (and @t2988 true) @t2988))) % 1.61/1.83 (step @p9769 :rule nary_cong :premises (@p9257 @p1172) :args (@t6345)) % 1.61/1.83 (step @p9770 :rule trans :premises (@p9769 @p9768)) % 1.61/1.83 (step @p9771 :rule aci_norm :args ((= (and @t2124 true) @t2124))) % 1.61/1.83 (step @p9772 :rule nary_cong :premises (@p7555 @p1172) :args (@t6346)) % 1.61/1.83 (step @p9773 :rule trans :premises (@p9772 @p9771)) % 1.61/1.83 (step @p9774 :rule refl :args (@t3049)) % 1.61/1.83 (step @p9775 :rule nary_cong :premises (@p9774 @p9773 @p9770) :args (@t6347)) % 1.61/1.83 (step @p9776 :rule aci_norm :args ((= @t6348 @t6347))) % 1.61/1.83 (step @p9777 :rule trans :premises (@p9776 @p9775)) % 1.61/1.83 (step @p9778 :rule cong :premises (@p9777) :args ((forall @t245 @t6348))) % 1.61/1.83 (step @p9779 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t3049 @t6350 @t6349 @t173)) @t6348))) % 1.61/1.83 (step @p9780 :rule refl :args (@t6349)) % 1.61/1.83 (step @p9781 :rule refl :args (@t6350)) % 1.61/1.83 (step @p9782 :rule refl :args (@t3049)) % 1.61/1.83 (step @p9783 :rule nary_cong :premises (@p1185 @p9782 @p9781 @p9780 @p1178) :args (@t6351)) % 1.61/1.83 (step @p9784 :rule aci_norm :args ((= @t6352 @t6351))) % 1.61/1.83 (step @p9785 :rule trans :premises (@p9784 @p9783)) % 1.61/1.83 (step @p9786 :rule cong :premises (@p9785) :args (@t6353)) % 1.61/1.83 (step @p9787 :rule trans :premises (@p9786 @p9779)) % 1.61/1.83 (step @p9788 :rule cong :premises (@p9787) :args (@t6354)) % 1.61/1.83 (step @p9789 :rule quant-merge-prenex :args ((= @t6354 (forall @t504 @t6352)))) % 1.61/1.83 (step @p9790 :rule symm :premises (@p9789)) % 1.61/1.83 (step @p9791 :rule trans :premises (@p9790 @p9788)) % 1.61/1.83 (step @p9792 :rule trans :premises (@p9791 @p9778)) % 1.61/1.83 (step @p9793 :rule nary_cong :premises (@p9176 @p3776) :args (@t6279)) % 1.61/1.83 (step @p9794 :rule nary_cong :premises (@p882 @p3776) :args (@t6355)) % 1.61/1.83 (step @p9795 :rule nary_cong :premises (@p9756 @p9794 @p9793 @p1178) :args (@t6356)) % 1.61/1.83 (step @p9796 :rule cong :premises (@p9795) :args ((forall @t504 @t6356))) % 1.61/1.83 (step @p9797 :rule trans :premises (@p9796 @p9792)) % 1.61/1.83 (step @p9798 :rule aci_norm :args ((= (or @t6342 @t6357) @t6356))) % 1.61/1.83 (step @p9799 :rule aci_norm :args ((= (or @t6355 (or @t6279 @t173)) @t6357))) % 1.61/1.83 (step @p9800 :rule nary_cong :premises (@p9283 @p1178) :args ((or @t6280 @t173))) % 1.61/1.83 (step @p9801 :rule bool-impl-elim :args (@t500 @t173)) % 1.61/1.83 (step @p9802 :rule trans :premises (@p9801 @p9800)) % 1.61/1.83 (step @p9803 :rule bool-implies-de-morgan :args (@t7 @t173)) % 1.61/1.83 (step @p9804 :rule nary_cong :premises (@p9803 @p9802) :args ((or (not @t502) @t501))) % 1.61/1.83 (step @p9805 :rule trans :premises (@p9804 @p9799)) % 1.61/1.83 (step @p9806 :rule bool-impl-elim :args (@t502 @t501)) % 1.61/1.83 (step @p9807 :rule trans :premises (@p9806 @p9805)) % 1.61/1.83 (step @p9808 :rule refl :args (@t6342)) % 1.61/1.83 (step @p9809 :rule nary_cong :premises (@p9808 @p9807) :args ((or @t6342 @t503))) % 1.61/1.83 (step @p9810 :rule trans :premises (@p9809 @p9798)) % 1.61/1.83 (step @p9811 :rule bool-impl-elim :args (@t495 @t503)) % 1.61/1.83 (step @p9812 :rule trans :premises (@p9811 @p9810)) % 1.61/1.83 (step @p9813 :rule cong :premises (@p9812) :args (@t505)) % 1.61/1.83 (step @p9814 :rule trans :premises (@p9813 @p9797)) % 1.61/1.83 (step @p9815 :rule refl :args (tptp.binunionEcases)) % 1.61/1.83 (step @p9816 :rule cong :premises (@p9815 @p9814) :args (@t506)) % 1.61/1.83 (step @p9817 :rule eq_resolve :premises (@p102 @p9816)) % 1.61/1.83 (step @p9818 :rule cong :premises (@p9817 @p9767) :args (@t6358)) % 1.61/1.83 (step @p9819 :rule nary_cong :premises (@p9199 @p9755) :args (@t6359)) % 1.61/1.83 (step @p9820 :rule cong :premises (@p9819) :args ((forall @t245 @t6359))) % 1.61/1.83 (step @p9821 :rule bool-impl-elim :args (@t6 @t495)) % 1.61/1.83 (step @p9822 :rule cong :premises (@p9821) :args (@t498)) % 1.61/1.83 (step @p9823 :rule trans :premises (@p9822 @p9820)) % 1.61/1.83 (step @p9824 :rule refl :args (tptp.binunionIR)) % 1.61/1.83 (step @p9825 :rule cong :premises (@p9824 @p9823) :args (@t499)) % 1.61/1.83 (step @p9826 :rule eq_resolve :premises (@p101 @p9825)) % 1.61/1.83 (step @p9827 :rule cong :premises (@p9826 @p9818) :args (@t6360)) % 1.61/1.83 (step @p9828 :rule eq-symm :args (@t2984 tptp.upairset2IR)) % 1.61/1.83 (step @p9829 :rule refl :args (tptp.upairset2IR)) % 1.61/1.83 (step @p9830 :rule cong :premises (@p9149 @p9829) :args ((= @t304 tptp.upairset2IR))) % 1.61/1.83 (step @p9831 :rule trans :premises (@p9830 @p9828)) % 1.61/1.83 (step @p9832 :rule eq-symm :args (tptp.upairset2IR @t304)) % 1.61/1.83 (step @p9833 :rule trans :premises (@p9832 @p9831)) % 1.61/1.83 (step @p9834 :rule eq_resolve :premises (@p100 @p9833)) % 1.61/1.83 (step @p9835 :rule cong :premises (@p9834 @p9827) :args (@t6361)) % 1.61/1.83 (step @p9836 :rule nary_cong :premises (@p883 @p9755) :args (@t6362)) % 1.61/1.83 (step @p9837 :rule cong :premises (@p9836) :args ((forall @t245 @t6362))) % 1.61/1.83 (step @p9838 :rule bool-impl-elim :args (@t7 @t495)) % 1.61/1.83 (step @p9839 :rule cong :premises (@p9838) :args (@t496)) % 1.61/1.83 (step @p9840 :rule trans :premises (@p9839 @p9837)) % 1.61/1.83 (step @p9841 :rule refl :args (tptp.binunionIL)) % 1.61/1.83 (step @p9842 :rule cong :premises (@p9841 @p9840) :args (@t497)) % 1.61/1.83 (step @p9843 :rule eq_resolve :premises (@p99 @p9842)) % 1.61/1.83 (step @p9844 :rule cong :premises (@p9843 @p9835) :args (@t6363)) % 1.61/1.83 (step @p9845 :rule cong :premises (@p8493 @p1882) :args (@t6364)) % 1.61/1.83 (step @p9846 :rule cong :premises (@p9845) :args ((forall @t311 @t6364))) % 1.61/1.83 (step @p9847 :rule refl :args ((tptp.subset @t306 @t2))) % 1.61/1.83 (step @p9848 :rule cong :premises (@p8501 @p1066) :args (@t6364)) % 1.61/1.83 (step @p9849 :rule trans :premises (@p9848 @p9847)) % 1.61/1.83 (step @p9850 :rule ho_cong :premises (@p2731 @p8501)) % 1.61/1.83 (step @p9851 :rule ho_cong :premises (@p9850 @p1066)) % 1.61/1.83 (step @p9852 :rule cong :premises (@p9851 @p9849) :args ((= (_ (_ tptp.subset @t6132) @t2) @t6364))) % 1.61/1.83 (step @p9853 :rule symm :premises (@p9852)) % 1.61/1.83 (step @p9854 :rule refl :args (@t491)) % 1.61/1.83 (step @p9855 :rule eq_resolve :premises (@p9854 @p9853)) % 1.61/1.83 (step @p9856 :rule ho_cong :premises (@p2731 @p8516)) % 1.61/1.83 (step @p9857 :rule ho_cong :premises (@p9856 @p1066)) % 1.61/1.83 (step @p9858 :rule trans :premises (@p9857 @p9855)) % 1.61/1.83 (step @p9859 :rule cong :premises (@p9858) :args (@t492)) % 1.61/1.83 (step @p9860 :rule trans :premises (@p9859 @p9846)) % 1.61/1.83 (step @p9861 :rule refl :args (tptp.sepSubset)) % 1.61/1.83 (step @p9862 :rule cong :premises (@p9861 @p9860) :args (@t493)) % 1.61/1.83 (step @p9863 :rule eq_resolve :premises (@p98 @p9862)) % 1.61/1.83 (step @p9864 :rule cong :premises (@p9863 @p9844) :args (@t6365)) % 1.61/1.83 (step @p9865 :rule refl :args (@t2181)) % 1.61/1.83 (step @p9866 :rule cong :premises (@p8493 @p9865) :args (@t6366)) % 1.61/1.83 (step @p9867 :rule cong :premises (@p9866) :args ((forall @t311 @t6366))) % 1.61/1.83 (step @p9868 :rule refl :args ((tptp.in @t306 @t33))) % 1.61/1.83 (step @p9869 :rule cong :premises (@p8501 @p2153) :args (@t6366)) % 1.61/1.83 (step @p9870 :rule trans :premises (@p9869 @p9868)) % 1.61/1.83 (step @p9871 :rule ho_cong :premises (@p895 @p8501)) % 1.61/1.83 (step @p9872 :rule ho_cong :premises (@p9871 @p2153)) % 1.61/1.83 (step @p9873 :rule cong :premises (@p9872 @p9870) :args ((= (_ (_ tptp.in @t6132) @t2181) @t6366))) % 1.61/1.83 (step @p9874 :rule symm :premises (@p9873)) % 1.61/1.83 (step @p9875 :rule refl :args (@t488)) % 1.61/1.83 (step @p9876 :rule eq_resolve :premises (@p9875 @p9874)) % 1.61/1.83 (step @p9877 :rule ho_cong :premises (@p895 @p8516)) % 1.61/1.83 (step @p9878 :rule ho_cong :premises (@p9877 @p2166)) % 1.61/1.83 (step @p9879 :rule trans :premises (@p9878 @p9876)) % 1.61/1.83 (step @p9880 :rule cong :premises (@p9879) :args (@t489)) % 1.61/1.83 (step @p9881 :rule trans :premises (@p9880 @p9867)) % 1.61/1.83 (step @p9882 :rule refl :args (tptp.sepInPowerset)) % 1.61/1.83 (step @p9883 :rule cong :premises (@p9882 @p9881) :args (@t490)) % 1.61/1.83 (step @p9884 :rule eq_resolve :premises (@p97 @p9883)) % 1.61/1.83 (step @p9885 :rule cong :premises (@p9884 @p9864) :args (@t6367)) % 1.61/1.83 (step @p9886 :rule refl :args ((tptp.subset @t33 @t393))) % 1.61/1.83 (step @p9887 :rule refl :args (@t3055)) % 1.61/1.83 (step @p9888 :rule cong :premises (@p2153 @p9887) :args (@t3056)) % 1.61/1.83 (step @p9889 :rule trans :premises (@p9888 @p9886)) % 1.61/1.83 (step @p9890 :rule ho_cong :premises (@p2731 @p2153)) % 1.61/1.83 (step @p9891 :rule ho_cong :premises (@p9890 @p9887)) % 1.61/1.83 (step @p9892 :rule cong :premises (@p9891 @p9889) :args ((= (_ (_ tptp.subset @t2181) @t3055) @t3056))) % 1.61/1.83 (step @p9893 :rule symm :premises (@p9892)) % 1.61/1.83 (step @p9894 :rule refl :args (@t485)) % 1.61/1.83 (step @p9895 :rule eq_resolve :premises (@p9894 @p9893)) % 1.61/1.83 (step @p9896 :rule refl :args (@t393)) % 1.61/1.83 (step @p9897 :rule cong :premises (@p9896 @p9887) :args ((= @t393 @t3055))) % 1.61/1.83 (step @p9898 :rule symm :premises (@p9897)) % 1.61/1.83 (step @p9899 :rule eq_resolve :premises (@p9896 @p9898)) % 1.61/1.83 (step @p9900 :rule ho_cong :premises (@p2731 @p2166)) % 1.61/1.83 (step @p9901 :rule ho_cong :premises (@p9900 @p9899)) % 1.61/1.83 (step @p9902 :rule trans :premises (@p9901 @p9895)) % 1.61/1.83 (step @p9903 :rule nary_cong :premises (@p9423 @p9902) :args (@t6368)) % 1.61/1.83 (step @p9904 :rule cong :premises (@p9903) :args ((forall @t12 @t6368))) % 1.61/1.83 (step @p9905 :rule bool-impl-elim :args (@t422 @t485)) % 1.61/1.83 (step @p9906 :rule cong :premises (@p9905) :args (@t486)) % 1.61/1.83 (step @p9907 :rule trans :premises (@p9906 @p9904)) % 1.61/1.83 (step @p9908 :rule refl :args (tptp.powersetsubset)) % 1.61/1.83 (step @p9909 :rule cong :premises (@p9908 @p9907) :args (@t487)) % 1.61/1.83 (step @p9910 :rule eq_resolve :premises (@p96 @p9909)) % 1.61/1.83 (step @p9911 :rule cong :premises (@p9910 @p9885) :args (@t6369)) % 1.61/1.83 (step @p9912 :rule refl :args ((tptp.in @t2 @t33))) % 1.61/1.83 (step @p9913 :rule cong :premises (@p1066 @p2153) :args (@t3058)) % 1.61/1.83 (step @p9914 :rule trans :premises (@p9913 @p9912)) % 1.61/1.83 (step @p9915 :rule refl :args (@t468)) % 1.61/1.83 (step @p9916 :rule ho_cong :premises (@p9915 @p2153)) % 1.61/1.83 (step @p9917 :rule cong :premises (@p9916 @p9914) :args ((= (_ @t468 @t2181) @t3058))) % 1.61/1.83 (step @p9918 :rule symm :premises (@p9917)) % 1.61/1.83 (step @p9919 :rule refl :args (@t482)) % 1.61/1.83 (step @p9920 :rule eq_resolve :premises (@p9919 @p9918)) % 1.61/1.83 (step @p9921 :rule ho_cong :premises (@p9915 @p2166)) % 1.61/1.83 (step @p9922 :rule trans :premises (@p9921 @p9920)) % 1.61/1.83 (step @p9923 :rule cong :premises (@p9922) :args (@t483)) % 1.61/1.83 (step @p9924 :rule refl :args (tptp.inPowerset)) % 1.61/1.83 (step @p9925 :rule cong :premises (@p9924 @p9923) :args (@t484)) % 1.61/1.83 (step @p9926 :rule eq_resolve :premises (@p95 @p9925)) % 1.61/1.83 (step @p9927 :rule cong :premises (@p9926 @p9911) :args (@t6370)) % 1.61/1.83 (step @p9928 :rule refl :args ((tptp.in @t1 @t33))) % 1.61/1.83 (step @p9929 :rule cong :premises (@p1998 @p2153) :args (@t3060)) % 1.61/1.83 (step @p9930 :rule trans :premises (@p9929 @p9928)) % 1.61/1.83 (step @p9931 :rule refl :args (@t34)) % 1.61/1.83 (step @p9932 :rule ho_cong :premises (@p9931 @p2153)) % 1.61/1.83 (step @p9933 :rule cong :premises (@p9932 @p9930) :args ((= (_ @t34 @t2181) @t3060))) % 1.61/1.83 (step @p9934 :rule symm :premises (@p9933)) % 1.61/1.83 (step @p9935 :rule refl :args (@t35)) % 1.61/1.83 (step @p9936 :rule eq_resolve :premises (@p9935 @p9934)) % 1.61/1.83 (step @p9937 :rule ho_cong :premises (@p9931 @p2166)) % 1.61/1.83 (step @p9938 :rule trans :premises (@p9937 @p9936)) % 1.61/1.83 (step @p9939 :rule cong :premises (@p9938) :args (@t6371)) % 1.61/1.83 (step @p9940 :rule nary_cong :premises (@p9939 @p9534) :args (@t6372)) % 1.61/1.83 (step @p9941 :rule cong :premises (@p9940) :args ((forall @t12 @t6372))) % 1.61/1.83 (step @p9942 :rule bool-impl-elim :args (@t35 @t427)) % 1.61/1.83 (step @p9943 :rule cong :premises (@p9942) :args (@t480)) % 1.61/1.83 (step @p9944 :rule trans :premises (@p9943 @p9941)) % 1.61/1.83 (step @p9945 :rule refl :args (tptp.powersetE1)) % 1.61/1.83 (step @p9946 :rule cong :premises (@p9945 @p9944) :args (@t481)) % 1.61/1.83 (step @p9947 :rule eq_resolve :premises (@p94 @p9946)) % 1.61/1.83 (step @p9948 :rule cong :premises (@p9947 @p9927) :args (@t6373)) % 1.61/1.83 (step @p9949 :rule nary_cong :premises (@p9535 @p9938) :args (@t6374)) % 1.61/1.83 (step @p9950 :rule cong :premises (@p9949) :args ((forall @t12 @t6374))) % 1.61/1.83 (step @p9951 :rule bool-impl-elim :args (@t427 @t35)) % 1.61/1.83 (step @p9952 :rule cong :premises (@p9951) :args (@t478)) % 1.61/1.83 (step @p9953 :rule trans :premises (@p9952 @p9950)) % 1.61/1.83 (step @p9954 :rule refl :args (tptp.powersetI1)) % 1.61/1.83 (step @p9955 :rule cong :premises (@p9954 @p9953) :args (@t479)) % 1.61/1.83 (step @p9956 :rule eq_resolve :premises (@p93 @p9955)) % 1.61/1.83 (step @p9957 :rule cong :premises (@p9956 @p9948) :args (@t6375)) % 1.61/1.83 (step @p9958 :rule refl :args (@t196)) % 1.61/1.83 (step @p9959 :rule refl :args (@t3064)) % 1.61/1.83 (step @p9960 :rule refl :args (@t475)) % 1.61/1.83 (step @p9961 :rule cong :premises (@p9960 @p9959) :args ((= @t475 @t3064))) % 1.61/1.83 (step @p9962 :rule symm :premises (@p9961)) % 1.61/1.83 (step @p9963 :rule eq_resolve :premises (@p9960 @p9962)) % 1.61/1.83 (step @p9964 :rule cong :premises (@p9963) :args (@t6376)) % 1.61/1.83 (step @p9965 :rule nary_cong :premises (@p9964 @p9958) :args (@t6377)) % 1.61/1.83 (step @p9966 :rule cong :premises (@p9965) :args ((forall @t64 @t6377))) % 1.61/1.83 (step @p9967 :rule bool-impl-elim :args (@t475 @t196)) % 1.61/1.83 (step @p9968 :rule cong :premises (@p9967) :args (@t476)) % 1.61/1.83 (step @p9969 :rule trans :premises (@p9968 @p9966)) % 1.61/1.83 (step @p9970 :rule refl :args (tptp.subsetemptysetimpeq)) % 1.61/1.83 (step @p9971 :rule cong :premises (@p9970 @p9969) :args (@t477)) % 1.61/1.83 (step @p9972 :rule eq_resolve :premises (@p92 @p9971)) % 1.61/1.83 (step @p9973 :rule cong :premises (@p9972 @p9957) :args (@t6378)) % 1.61/1.83 (step @p9974 :rule refl :args (@t3)) % 1.61/1.83 (step @p9975 :rule nary_cong :premises (@p9423 @p9535 @p9974) :args (@t6379)) % 1.61/1.83 (step @p9976 :rule cong :premises (@p9975) :args ((forall @t12 @t6379))) % 1.61/1.83 (step @p9977 :rule aci_norm :args ((= (or @t441 (or @t6312 @t3)) @t6379))) % 1.61/1.83 (step @p9978 :rule bool-impl-elim :args (@t427 @t3)) % 1.61/1.83 (step @p9979 :rule refl :args (@t441)) % 1.61/1.83 (step @p9980 :rule nary_cong :premises (@p9979 @p9978) :args ((or @t441 @t472))) % 1.61/1.83 (step @p9981 :rule trans :premises (@p9980 @p9977)) % 1.61/1.83 (step @p9982 :rule bool-impl-elim :args (@t422 @t472)) % 1.61/1.83 (step @p9983 :rule trans :premises (@p9982 @p9981)) % 1.61/1.83 (step @p9984 :rule cong :premises (@p9983) :args (@t473)) % 1.61/1.83 (step @p9985 :rule trans :premises (@p9984 @p9976)) % 1.61/1.83 (step @p9986 :rule refl :args (tptp.setextsub)) % 1.61/1.83 (step @p9987 :rule cong :premises (@p9986 @p9985) :args (@t474)) % 1.61/1.83 (step @p9988 :rule eq_resolve :premises (@p91 @p9987)) % 1.61/1.83 (step @p9989 :rule cong :premises (@p9988 @p9973) :args (@t6380)) % 1.61/1.83 (step @p9990 :rule refl :args ((tptp.in @t2 @t393))) % 1.61/1.83 (step @p9991 :rule cong :premises (@p1066 @p9887) :args (@t3067)) % 1.61/1.83 (step @p9992 :rule trans :premises (@p9991 @p9990)) % 1.61/1.83 (step @p9993 :rule ho_cong :premises (@p9915 @p9887)) % 1.61/1.83 (step @p9994 :rule cong :premises (@p9993 @p9992) :args ((= (_ @t468 @t3055) @t3067))) % 1.61/1.83 (step @p9995 :rule symm :premises (@p9994)) % 1.61/1.83 (step @p9996 :rule refl :args (@t469)) % 1.61/1.83 (step @p9997 :rule eq_resolve :premises (@p9996 @p9995)) % 1.61/1.83 (step @p9998 :rule ho_cong :premises (@p9915 @p9899)) % 1.61/1.83 (step @p9999 :rule trans :premises (@p9998 @p9997)) % 1.61/1.83 (step @p10000 :rule nary_cong :premises (@p9423 @p9999) :args (@t6381)) % 1.61/1.83 (step @p10001 :rule cong :premises (@p10000) :args ((forall @t12 @t6381))) % 1.61/1.83 (step @p10002 :rule bool-impl-elim :args (@t422 @t469)) % 1.61/1.83 (step @p10003 :rule cong :premises (@p10002) :args (@t470)) % 1.61/1.83 (step @p10004 :rule trans :premises (@p10003 @p10001)) % 1.61/1.83 (step @p10005 :rule refl :args (tptp.subset2powerset)) % 1.61/1.83 (step @p10006 :rule cong :premises (@p10005 @p10004) :args (@t471)) % 1.61/1.83 (step @p10007 :rule eq_resolve :premises (@p90 @p10006)) % 1.61/1.83 (step @p10008 :rule cong :premises (@p10007 @p9989) :args (@t6382)) % 1.61/1.83 (step @p10009 :rule refl :args ((tptp.subset @t2 @t464))) % 1.61/1.83 (step @p10010 :rule refl :args (@t3069)) % 1.61/1.83 (step @p10011 :rule cong :premises (@p1066 @p10010) :args (@t3070)) % 1.61/1.83 (step @p10012 :rule trans :premises (@p10011 @p10009)) % 1.61/1.83 (step @p10013 :rule ho_cong :premises (@p8567 @p10010)) % 1.61/1.83 (step @p10014 :rule cong :premises (@p10013 @p10012) :args ((= (_ @t421 @t3069) @t3070))) % 1.61/1.83 (step @p10015 :rule symm :premises (@p10014)) % 1.61/1.83 (step @p10016 :rule refl :args (@t465)) % 1.61/1.83 (step @p10017 :rule eq_resolve :premises (@p10016 @p10015)) % 1.61/1.83 (step @p10018 :rule refl :args (@t464)) % 1.61/1.83 (step @p10019 :rule cong :premises (@p10018 @p10010) :args ((= @t464 @t3069))) % 1.61/1.83 (step @p10020 :rule symm :premises (@p10019)) % 1.61/1.83 (step @p10021 :rule eq_resolve :premises (@p10018 @p10020)) % 1.61/1.83 (step @p10022 :rule ho_cong :premises (@p8567 @p10021)) % 1.61/1.83 (step @p10023 :rule trans :premises (@p10022 @p10017)) % 1.61/1.83 (step @p10024 :rule nary_cong :premises (@p9423 @p10023) :args (@t6383)) % 1.61/1.83 (step @p10025 :rule cong :premises (@p10024) :args ((forall @t249 @t6383))) % 1.61/1.83 (step @p10026 :rule bool-impl-elim :args (@t422 @t465)) % 1.61/1.83 (step @p10027 :rule cong :premises (@p10026) :args (@t466)) % 1.61/1.83 (step @p10028 :rule trans :premises (@p10027 @p10025)) % 1.61/1.83 (step @p10029 :rule refl :args (tptp.setadjoinSub2)) % 1.61/1.83 (step @p10030 :rule cong :premises (@p10029 @p10028) :args (@t467)) % 1.61/1.83 (step @p10031 :rule eq_resolve :premises (@p89 @p10030)) % 1.61/1.83 (step @p10032 :rule cong :premises (@p10031 @p10008) :args (@t6384)) % 1.61/1.83 (step @p10033 :rule refl :args ((tptp.subset @t2 @t25))) % 1.61/1.83 (step @p10034 :rule refl :args (@t3072)) % 1.61/1.83 (step @p10035 :rule cong :premises (@p1066 @p10034) :args (@t3073)) % 1.61/1.83 (step @p10036 :rule trans :premises (@p10035 @p10033)) % 1.61/1.83 (step @p10037 :rule ho_cong :premises (@p8567 @p10034)) % 1.61/1.83 (step @p10038 :rule cong :premises (@p10037 @p10036) :args ((= (_ @t421 @t3072) @t3073))) % 1.61/1.83 (step @p10039 :rule symm :premises (@p10038)) % 1.61/1.83 (step @p10040 :rule refl :args (@t460)) % 1.61/1.83 (step @p10041 :rule eq_resolve :premises (@p10040 @p10039)) % 1.61/1.83 (step @p10042 :rule refl :args (@t25)) % 1.61/1.83 (step @p10043 :rule cong :premises (@p10042 @p10034) :args ((= @t25 @t3072))) % 1.61/1.83 (step @p10044 :rule symm :premises (@p10043)) % 1.61/1.83 (step @p10045 :rule eq_resolve :premises (@p10042 @p10044)) % 1.61/1.83 (step @p10046 :rule ho_cong :premises (@p8567 @p10045)) % 1.61/1.83 (step @p10047 :rule trans :premises (@p10046 @p10041)) % 1.61/1.83 (step @p10048 :rule cong :premises (@p10047) :args (@t462)) % 1.61/1.83 (step @p10049 :rule refl :args (tptp.setadjoinSub)) % 1.61/1.83 (step @p10050 :rule cong :premises (@p10049 @p10048) :args (@t463)) % 1.61/1.83 (step @p10051 :rule eq_resolve :premises (@p88 @p10050)) % 1.61/1.83 (step @p10052 :rule cong :premises (@p10051 @p10032) :args (@t6385)) % 1.61/1.83 (step @p10053 :rule refl :args (@t3075)) % 1.61/1.83 (step @p10054 :rule refl :args (@t454)) % 1.61/1.83 (step @p10055 :rule cong :premises (@p10054 @p10053) :args ((= @t454 @t3075))) % 1.61/1.83 (step @p10056 :rule symm :premises (@p10055)) % 1.61/1.83 (step @p10057 :rule eq_resolve :premises (@p10054 @p10056)) % 1.61/1.83 (step @p10058 :rule refl :args (@t3076)) % 1.61/1.83 (step @p10059 :rule refl :args (@t455)) % 1.61/1.83 (step @p10060 :rule cong :premises (@p10059 @p10058) :args ((= @t455 @t3076))) % 1.61/1.83 (step @p10061 :rule symm :premises (@p10060)) % 1.61/1.83 (step @p10062 :rule eq_resolve :premises (@p10059 @p10061)) % 1.61/1.83 (step @p10063 :rule cong :premises (@p10062) :args (@t6386)) % 1.61/1.83 (step @p10064 :rule nary_cong :premises (@p9423 @p10063 @p10057) :args (@t6387)) % 1.61/1.83 (step @p10065 :rule cong :premises (@p10064) :args ((forall @t457 @t6387))) % 1.61/1.83 (step @p10066 :rule aci_norm :args ((= (or @t441 (or @t6386 @t454)) @t6387))) % 1.61/1.83 (step @p10067 :rule bool-impl-elim :args (@t455 @t454)) % 1.61/1.83 (step @p10068 :rule nary_cong :premises (@p9979 @p10067) :args ((or @t441 @t456))) % 1.61/1.83 (step @p10069 :rule trans :premises (@p10068 @p10066)) % 1.61/1.83 (step @p10070 :rule bool-impl-elim :args (@t422 @t456)) % 1.61/1.83 (step @p10071 :rule trans :premises (@p10070 @p10069)) % 1.61/1.83 (step @p10072 :rule cong :premises (@p10071) :args (@t458)) % 1.61/1.83 (step @p10073 :rule trans :premises (@p10072 @p10065)) % 1.61/1.83 (step @p10074 :rule refl :args (tptp.subsetTrans)) % 1.61/1.83 (step @p10075 :rule cong :premises (@p10074 @p10073) :args (@t459)) % 1.61/1.83 (step @p10076 :rule eq_resolve :premises (@p87 @p10075)) % 1.61/1.83 (step @p10077 :rule cong :premises (@p10076 @p10052) :args (@t6388)) % 1.61/1.83 (step @p10078 :rule refl :args (@t3078)) % 1.61/1.83 (step @p10079 :rule refl :args (@t451)) % 1.61/1.83 (step @p10080 :rule cong :premises (@p10079 @p10078) :args ((= @t451 @t3078))) % 1.61/1.83 (step @p10081 :rule symm :premises (@p10080)) % 1.61/1.83 (step @p10082 :rule eq_resolve :premises (@p10079 @p10081)) % 1.61/1.83 (step @p10083 :rule cong :premises (@p10082) :args (@t452)) % 1.61/1.83 (step @p10084 :rule refl :args (tptp.subsetRefl)) % 1.61/1.83 (step @p10085 :rule cong :premises (@p10084 @p10083) :args (@t453)) % 1.61/1.83 (step @p10086 :rule eq_resolve :premises (@p86 @p10085)) % 1.61/1.83 (step @p10087 :rule cong :premises (@p10086 @p10077) :args (@t6389)) % 1.61/1.83 (step @p10088 :rule bool-eq-true :args (tptp.notequalI2)) % 1.61/1.83 (step @p10089 :rule symm :premises (@p10088)) % 1.61/1.83 (step @p10090 :rule quant-unused-vars :args ((= (forall @t6390 true) true))) % 1.61/1.83 (step @p10091 :rule bool-or-taut2 :args (false @t2988 false false)) % 1.61/1.83 (step @p10092 :rule cong :premises (@p10091) :args ((forall @t6390 @t6391))) % 1.61/1.83 (step @p10093 :rule trans :premises (@p10092 @p10090)) % 1.61/1.83 (step @p10094 :rule aci_norm :args ((= (or @t2990 @t2988 false) @t6391))) % 1.61/1.83 (step @p10095 :rule eq-refl :args (@t1)) % 1.61/1.83 (step @p10096 :rule cong :premises (@p10095) :args (@t6392)) % 1.61/1.83 (step @p10097 :rule trans :premises (@p10096 @p5597)) % 1.61/1.83 (step @p10098 :rule nary_cong :premises (@p9261 @p9257 @p10097) :args (@t6393)) % 1.61/1.83 (step @p10099 :rule trans :premises (@p10098 @p10094)) % 1.61/1.83 (step @p10100 :rule cong :premises (@p10099) :args ((forall @t6390 @t6393))) % 1.61/1.83 (step @p10101 :rule trans :premises (@p10100 @p10093)) % 1.61/1.83 (step @p10102 :rule quant-var-elim-eq :args ((= (forall @t64 @t6394) @t6393))) % 1.61/1.83 (step @p10103 :rule aci_norm :args ((= @t6395 @t6394))) % 1.61/1.83 (step @p10104 :rule cong :premises (@p10103) :args (@t6396)) % 1.61/1.83 (step @p10105 :rule trans :premises (@p10104 @p10102)) % 1.61/1.83 (step @p10106 :rule cong :premises (@p10105) :args (@t6397)) % 1.61/1.83 (step @p10107 :rule quant-merge-prenex :args ((= @t6397 @t6398))) % 1.61/1.83 (step @p10108 :rule symm :premises (@p10107)) % 1.61/1.83 (step @p10109 :rule quant_var_reordering :args ((= (forall @t245 @t6395) @t6398))) % 1.61/1.83 (step @p10110 :rule trans :premises (@p10109 @p10108 @p10106)) % 1.61/1.83 (step @p10111 :rule trans :premises (@p10110 @p10101)) % 1.61/1.83 (step @p10112 :rule refl :args (@t445)) % 1.61/1.83 (step @p10113 :rule nary_cong :premises (@p883 @p9176 @p10112) :args (@t6399)) % 1.61/1.83 (step @p10114 :rule cong :premises (@p10113) :args ((forall @t245 @t6399))) % 1.61/1.83 (step @p10115 :rule trans :premises (@p10114 @p10111)) % 1.61/1.83 (step @p10116 :rule aci_norm :args ((= (or @t197 (or @t6 @t445)) @t6399))) % 1.61/1.83 (step @p10117 :rule nary_cong :premises (@p9181 @p10112) :args ((or @t6257 @t445))) % 1.61/1.83 (step @p10118 :rule bool-impl-elim :args (@t437 @t445)) % 1.61/1.83 (step @p10119 :rule trans :premises (@p10118 @p10117)) % 1.61/1.83 (step @p10120 :rule nary_cong :premises (@p3166 @p10119) :args ((or @t197 @t448))) % 1.61/1.83 (step @p10121 :rule trans :premises (@p10120 @p10116)) % 1.61/1.83 (step @p10122 :rule bool-impl-elim :args (@t7 @t448)) % 1.61/1.83 (step @p10123 :rule trans :premises (@p10122 @p10121)) % 1.61/1.83 (step @p10124 :rule cong :premises (@p10123) :args (@t449)) % 1.61/1.83 (step @p10125 :rule trans :premises (@p10124 @p10115)) % 1.61/1.83 (step @p10126 :rule refl :args (tptp.notequalI2)) % 1.61/1.83 (step @p10127 :rule cong :premises (@p10126 @p10125) :args (@t450)) % 1.61/1.83 (step @p10128 :rule trans :premises (@p10127 @p10088)) % 1.61/1.83 (step @p10129 :rule eq_resolve :premises (@p85 @p10128)) % 1.61/1.83 (step @p10130 :rule eq_resolve :premises (@p10129 @p10089)) % 1.61/1.83 (step @p10131 :rule cong :premises (@p10130 @p10087) :args (@t6400)) % 1.61/1.83 (step @p10132 :rule aci_norm :args ((= (or @t3080 false) @t3080))) % 1.61/1.83 (step @p10133 :rule refl :args (@t3080)) % 1.61/1.83 (step @p10134 :rule nary_cong :premises (@p10133 @p10097) :args (@t6401)) % 1.61/1.83 (step @p10135 :rule trans :premises (@p10134 @p10132)) % 1.61/1.83 (step @p10136 :rule cong :premises (@p10135) :args ((forall @t41 @t6401))) % 1.61/1.83 (step @p10137 :rule quant-var-elim-eq :args ((= (forall @t64 @t6402) @t6401))) % 1.61/1.83 (step @p10138 :rule aci_norm :args ((= @t6403 @t6402))) % 1.61/1.83 (step @p10139 :rule cong :premises (@p10138) :args (@t6404)) % 1.61/1.83 (step @p10140 :rule trans :premises (@p10139 @p10137)) % 1.61/1.83 (step @p10141 :rule cong :premises (@p10140) :args (@t6405)) % 1.61/1.83 (step @p10142 :rule quant-merge-prenex :args ((= @t6405 @t6407))) % 1.61/1.83 (step @p10143 :rule symm :premises (@p10142)) % 1.61/1.83 (step @p10144 :rule quant_var_reordering :args ((= (forall @t12 @t6403) @t6407))) % 1.61/1.83 (step @p10145 :rule trans :premises (@p10144 @p10143 @p10141)) % 1.61/1.83 (step @p10146 :rule trans :premises (@p10145 @p10136)) % 1.61/1.83 (step @p10147 :rule nary_cong :premises (@p9315 @p10112) :args (@t6408)) % 1.61/1.83 (step @p10148 :rule cong :premises (@p10147) :args ((forall @t12 @t6408))) % 1.61/1.83 (step @p10149 :rule trans :premises (@p10148 @p10146)) % 1.61/1.83 (step @p10150 :rule bool-double-not-elim :args (@t422)) % 1.61/1.83 (step @p10151 :rule nary_cong :premises (@p10150 @p10112) :args ((or (not @t441) @t445))) % 1.61/1.83 (step @p10152 :rule bool-impl-elim :args (@t441 @t445)) % 1.61/1.83 (step @p10153 :rule trans :premises (@p10152 @p10151)) % 1.61/1.83 (step @p10154 :rule cong :premises (@p10153) :args (@t446)) % 1.61/1.83 (step @p10155 :rule trans :premises (@p10154 @p10149)) % 1.61/1.83 (step @p10156 :rule refl :args (tptp.notequalI1)) % 1.61/1.83 (step @p10157 :rule cong :premises (@p10156 @p10155) :args (@t447)) % 1.61/1.83 (step @p10158 :rule eq_resolve :premises (@p84 @p10157)) % 1.61/1.83 (step @p10159 :rule cong :premises (@p10158 @p10131) :args (@t6409)) % 1.61/1.83 (step @p10160 :rule nary_cong :premises (@p883 @p9176 @p9423) :args (@t6410)) % 1.61/1.83 (step @p10161 :rule cong :premises (@p10160) :args ((forall @t245 @t6410))) % 1.61/1.83 (step @p10162 :rule aci_norm :args ((= (or @t197 (or @t6 @t441)) @t6410))) % 1.61/1.83 (step @p10163 :rule nary_cong :premises (@p9181 @p9979) :args ((or @t6257 @t441))) % 1.61/1.83 (step @p10164 :rule bool-impl-elim :args (@t437 @t441)) % 1.61/1.83 (step @p10165 :rule trans :premises (@p10164 @p10163)) % 1.61/1.83 (step @p10166 :rule nary_cong :premises (@p3166 @p10165) :args ((or @t197 @t442))) % 1.61/1.83 (step @p10167 :rule trans :premises (@p10166 @p10162)) % 1.61/1.83 (step @p10168 :rule bool-impl-elim :args (@t7 @t442)) % 1.61/1.83 (step @p10169 :rule trans :premises (@p10168 @p10167)) % 1.61/1.83 (step @p10170 :rule cong :premises (@p10169) :args (@t443)) % 1.61/1.83 (step @p10171 :rule trans :premises (@p10170 @p10161)) % 1.61/1.83 (step @p10172 :rule refl :args (tptp.notsubsetI)) % 1.61/1.83 (step @p10173 :rule cong :premises (@p10172 @p10171) :args (@t444)) % 1.61/1.83 (step @p10174 :rule eq_resolve :premises (@p83 @p10173)) % 1.61/1.83 (step @p10175 :rule cong :premises (@p10174 @p10159) :args (@t6411)) % 1.61/1.83 (step @p10176 :rule nary_cong :premises (@p9423 @p9176 @p883) :args (@t6412)) % 1.61/1.83 (step @p10177 :rule cong :premises (@p10176) :args ((forall @t245 @t6412))) % 1.61/1.83 (step @p10178 :rule aci_norm :args ((= (or @t441 @t6292) @t6412))) % 1.61/1.83 (step @p10179 :rule nary_cong :premises (@p9979 @p9391) :args ((or @t441 @t438))) % 1.61/1.83 (step @p10180 :rule trans :premises (@p10179 @p10178)) % 1.61/1.83 (step @p10181 :rule bool-impl-elim :args (@t422 @t438)) % 1.61/1.83 (step @p10182 :rule trans :premises (@p10181 @p10180)) % 1.61/1.83 (step @p10183 :rule cong :premises (@p10182) :args (@t439)) % 1.61/1.83 (step @p10184 :rule trans :premises (@p10183 @p10177)) % 1.61/1.83 (step @p10185 :rule refl :args (tptp.subsetE2)) % 1.61/1.83 (step @p10186 :rule cong :premises (@p10185 @p10184) :args (@t440)) % 1.61/1.83 (step @p10187 :rule eq_resolve :premises (@p82 @p10186)) % 1.61/1.83 (step @p10188 :rule cong :premises (@p10187 @p10175) :args (@t6413)) % 1.61/1.83 (step @p10189 :rule nary_cong :premises (@p9423 @p883 @p9176) :args (@t6414)) % 1.61/1.83 (step @p10190 :rule cong :premises (@p10189) :args ((forall @t245 @t6414))) % 1.61/1.83 (step @p10191 :rule aci_norm :args ((= (or @t441 @t6296) @t6414))) % 1.61/1.83 (step @p10192 :rule nary_cong :premises (@p9979 @p9409) :args ((or @t441 @t191))) % 1.61/1.83 (step @p10193 :rule trans :premises (@p10192 @p10191)) % 1.61/1.83 (step @p10194 :rule bool-impl-elim :args (@t422 @t191)) % 1.61/1.83 (step @p10195 :rule trans :premises (@p10194 @p10193)) % 1.61/1.83 (step @p10196 :rule cong :premises (@p10195) :args (@t435)) % 1.61/1.83 (step @p10197 :rule trans :premises (@p10196 @p10190)) % 1.61/1.83 (step @p10198 :rule refl :args (tptp.subsetE)) % 1.61/1.83 (step @p10199 :rule cong :premises (@p10198 @p10197) :args (@t436)) % 1.61/1.83 (step @p10200 :rule eq_resolve :premises (@p81 @p10199)) % 1.61/1.83 (step @p10201 :rule cong :premises (@p10200 @p10188) :args (@t6415)) % 1.61/1.83 (step @p10202 :rule refl :args (@t3085)) % 1.61/1.83 (step @p10203 :rule refl :args (@t432)) % 1.61/1.83 (step @p10204 :rule cong :premises (@p10203 @p10202) :args ((= @t432 @t3085))) % 1.61/1.83 (step @p10205 :rule symm :premises (@p10204)) % 1.61/1.83 (step @p10206 :rule eq_resolve :premises (@p10203 @p10205)) % 1.61/1.83 (step @p10207 :rule cong :premises (@p10206) :args (@t433)) % 1.61/1.83 (step @p10208 :rule refl :args (tptp.emptysetsubset)) % 1.61/1.83 (step @p10209 :rule cong :premises (@p10208 @p10207) :args (@t434)) % 1.61/1.83 (step @p10210 :rule eq_resolve :premises (@p80 @p10209)) % 1.61/1.83 (step @p10211 :rule cong :premises (@p10210 @p10201) :args (@t6416)) % 1.61/1.83 (step @p10212 :rule eq-symm :args (@t3089 tptp.subsetI2)) % 1.61/1.83 (step @p10213 :rule refl :args (tptp.subsetI2)) % 1.61/1.83 (step @p10214 :rule refl :args (@t3088)) % 1.61/1.83 (step @p10215 :rule nary_cong :premises (@p10214 @p9315) :args (@t6417)) % 1.61/1.83 (step @p10216 :rule cong :premises (@p10215) :args ((forall @t12 @t6417))) % 1.61/1.83 (step @p10217 :rule bool-impl-elim :args (@t3087 @t422)) % 1.61/1.83 (step @p10218 :rule cong :premises (@p10217) :args ((forall @t12 (=> @t3087 @t422)))) % 1.61/1.83 (step @p10219 :rule trans :premises (@p10218 @p10216)) % 1.61/1.83 (step @p10220 :rule nary_cong :premises (@p883 @p9176) :args (@t6296)) % 1.61/1.83 (step @p10221 :rule cong :premises (@p10220) :args ((forall @t9 @t6296))) % 1.61/1.83 (step @p10222 :rule cong :premises (@p9409) :args (@t192)) % 1.61/1.83 (step @p10223 :rule trans :premises (@p10222 @p10221)) % 1.61/1.83 (step @p10224 :rule cong :premises (@p10223 @p9328) :args (@t423)) % 1.61/1.83 (step @p10225 :rule cong :premises (@p10224) :args (@t424)) % 1.61/1.83 (step @p10226 :rule trans :premises (@p10225 @p10219)) % 1.61/1.83 (step @p10227 :rule cong :premises (@p10226 @p10213) :args ((= @t424 tptp.subsetI2))) % 1.61/1.83 (step @p10228 :rule trans :premises (@p10227 @p10212)) % 1.61/1.83 (step @p10229 :rule eq-symm :args (tptp.subsetI2 @t424)) % 1.61/1.83 (step @p10230 :rule trans :premises (@p10229 @p10228)) % 1.61/1.83 (step @p10231 :rule eq_resolve :premises (@p79 @p10230)) % 1.61/1.83 (step @p10232 :rule cong :premises (@p10231 @p10211) :args (@t6418)) % 1.61/1.83 (step @p10233 :rule aci_norm :args ((= (or false @t3080) @t3080))) % 1.61/1.83 (step @p10234 :rule nary_cong :premises (@p10097 @p10133) :args (@t6419)) % 1.61/1.83 (step @p10235 :rule trans :premises (@p10234 @p10233)) % 1.61/1.83 (step @p10236 :rule cong :premises (@p10235) :args ((forall @t41 @t6419))) % 1.61/1.83 (step @p10237 :rule quant-var-elim-eq :args ((= (forall @t64 @t6420) @t6419))) % 1.61/1.83 (step @p10238 :rule aci_norm :args ((= @t6421 @t6420))) % 1.61/1.83 (step @p10239 :rule cong :premises (@p10238) :args (@t6422)) % 1.61/1.83 (step @p10240 :rule trans :premises (@p10239 @p10237)) % 1.61/1.83 (step @p10241 :rule cong :premises (@p10240) :args (@t6423)) % 1.61/1.83 (step @p10242 :rule quant-merge-prenex :args ((= @t6423 @t6424))) % 1.61/1.83 (step @p10243 :rule symm :premises (@p10242)) % 1.61/1.83 (step @p10244 :rule quant_var_reordering :args ((= (forall @t12 @t6421) @t6424))) % 1.61/1.83 (step @p10245 :rule trans :premises (@p10244 @p10243 @p10241)) % 1.61/1.83 (step @p10246 :rule trans :premises (@p10245 @p10236)) % 1.61/1.83 (step @p10247 :rule nary_cong :premises (@p10112 @p9315) :args (@t6425)) % 1.61/1.83 (step @p10248 :rule cong :premises (@p10247) :args ((forall @t12 @t6425))) % 1.61/1.83 (step @p10249 :rule trans :premises (@p10248 @p10246)) % 1.61/1.83 (step @p10250 :rule bool-impl-elim :args (@t3 @t422)) % 1.61/1.83 (step @p10251 :rule cong :premises (@p10250) :args (@t430)) % 1.61/1.83 (step @p10252 :rule trans :premises (@p10251 @p10249)) % 1.61/1.83 (step @p10253 :rule refl :args (tptp.eqimpsubset1)) % 1.61/1.83 (step @p10254 :rule cong :premises (@p10253 @p10252) :args (@t431)) % 1.61/1.83 (step @p10255 :rule eq_resolve :premises (@p78 @p10254)) % 1.61/1.83 (step @p10256 :rule cong :premises (@p10255 @p10232) :args (@t6426)) % 1.61/1.83 (step @p10257 :rule quant-var-elim-eq :args ((= (forall @t64 @t6427) @t6419))) % 1.61/1.83 (step @p10258 :rule aci_norm :args ((= @t6428 @t6427))) % 1.61/1.83 (step @p10259 :rule cong :premises (@p10258) :args (@t6429)) % 1.61/1.83 (step @p10260 :rule trans :premises (@p10259 @p10257)) % 1.61/1.83 (step @p10261 :rule cong :premises (@p10260) :args (@t6430)) % 1.61/1.83 (step @p10262 :rule quant-merge-prenex :args ((= @t6430 @t6431))) % 1.61/1.83 (step @p10263 :rule symm :premises (@p10262)) % 1.61/1.83 (step @p10264 :rule quant_var_reordering :args ((= (forall @t12 @t6428) @t6431))) % 1.61/1.83 (step @p10265 :rule trans :premises (@p10264 @p10263 @p10261)) % 1.61/1.83 (step @p10266 :rule trans :premises (@p10265 @p10236)) % 1.61/1.83 (step @p10267 :rule nary_cong :premises (@p10112 @p9534) :args (@t6432)) % 1.61/1.83 (step @p10268 :rule cong :premises (@p10267) :args ((forall @t12 @t6432))) % 1.61/1.83 (step @p10269 :rule trans :premises (@p10268 @p10266)) % 1.61/1.83 (step @p10270 :rule bool-impl-elim :args (@t3 @t427)) % 1.61/1.83 (step @p10271 :rule cong :premises (@p10270) :args (@t428)) % 1.61/1.83 (step @p10272 :rule trans :premises (@p10271 @p10269)) % 1.61/1.83 (step @p10273 :rule refl :args (tptp.eqimpsubset2)) % 1.61/1.83 (step @p10274 :rule cong :premises (@p10273 @p10272) :args (@t429)) % 1.61/1.83 (step @p10275 :rule eq_resolve :premises (@p77 @p10274)) % 1.61/1.83 (step @p10276 :rule cong :premises (@p10275 @p10256) :args (@t6433)) % 1.61/1.83 (step @p10277 :rule refl :args (tptp.subsetI1)) % 1.61/1.83 (step @p10278 :rule cong :premises (@p10277 @p10226) :args (@t425)) % 1.61/1.83 (step @p10279 :rule eq_resolve :premises (@p76 @p10278)) % 1.61/1.83 (step @p10280 :rule cong :premises (@p10279 @p10276) :args (@t6434)) % 1.61/1.83 (step @p10281 :rule aci_norm :args ((= (or false @t3097 @t3094) @t3098))) % 1.61/1.83 (step @p10282 :rule eq-symm :args (@t3091 @t3093)) % 1.61/1.83 (step @p10283 :rule aci_norm :args ((= @t6435 @t3096))) % 1.61/1.83 (step @p10284 :rule cong :premises (@p10283) :args (@t6436)) % 1.61/1.83 (step @p10285 :rule cong :premises (@p10284) :args (@t6437)) % 1.61/1.83 (step @p10286 :rule nary_cong :premises (@p10097 @p10285 @p10282) :args (@t6438)) % 1.61/1.83 (step @p10287 :rule trans :premises (@p10286 @p10281)) % 1.61/1.83 (step @p10288 :rule cong :premises (@p10287) :args ((forall @t3099 @t6438))) % 1.61/1.83 (step @p10289 :rule quant-var-elim-eq :args ((= (forall @t64 @t6441) @t6438))) % 1.61/1.83 (step @p10290 :rule aci_norm :args ((= @t6442 @t6441))) % 1.61/1.83 (step @p10291 :rule cong :premises (@p10290) :args (@t6443)) % 1.61/1.83 (step @p10292 :rule trans :premises (@p10291 @p10289)) % 1.61/1.83 (step @p10293 :rule cong :premises (@p10292) :args (@t6444)) % 1.61/1.83 (step @p10294 :rule quant-merge-prenex :args ((= @t6444 @t6445))) % 1.61/1.83 (step @p10295 :rule symm :premises (@p10294)) % 1.61/1.83 (step @p10296 :rule quant_var_reordering :args ((= (forall @t6446 @t6442) @t6445))) % 1.61/1.83 (step @p10297 :rule trans :premises (@p10296 @p10295 @p10293)) % 1.61/1.83 (step @p10298 :rule trans :premises (@p10297 @p10288)) % 1.61/1.83 (step @p10299 :rule aci_norm :args ((= @t6448 @t6442))) % 1.61/1.83 (step @p10300 :rule cong :premises (@p10299) :args (@t6449)) % 1.61/1.83 (step @p10301 :rule trans :premises (@p10300 @p10298)) % 1.61/1.83 (step @p10302 :rule quant-merge-prenex :args ((= (forall @t12 @t6451) @t6449))) % 1.61/1.83 (step @p10303 :rule alpha_equiv :args (@t6452 (@list @t3090 @t3092) (@list @t143 @t368))) % 1.61/1.83 (step @p10304 :rule nary_cong :premises (@p10112 @p10303) :args (@t6453)) % 1.61/1.83 (step @p10305 :rule quant-miniscope-or :args ((= @t6451 @t6453))) % 1.61/1.83 (step @p10306 :rule trans :premises (@p10305 @p10304)) % 1.61/1.83 (step @p10307 :rule symm :premises (@p10306)) % 1.61/1.83 (step @p10308 :rule cong :premises (@p10307) :args ((forall @t12 (or @t445 @t6457)))) % 1.61/1.83 (step @p10309 :rule trans :premises (@p10308 @p10302)) % 1.61/1.83 (step @p10310 :rule trans :premises (@p10309 @p10301)) % 1.61/1.83 (step @p10311 :rule bool-impl-elim :args (@t3 @t6457)) % 1.61/1.83 (step @p10312 :rule cong :premises (@p10311) :args ((forall @t12 (=> @t3 @t6457)))) % 1.61/1.83 (step @p10313 :rule trans :premises (@p10312 @p10310)) % 1.61/1.83 (step @p10314 :rule lambda-elim :args ((= @t6458 @t368))) % 1.61/1.83 (step @p10315 :rule cong :premises (@p6288 @p10314) :args (@t6459)) % 1.61/1.83 (step @p10316 :rule cong :premises (@p8493 @p10315) :args (@t6460)) % 1.61/1.83 (step @p10317 :rule refl :args (@t6456)) % 1.61/1.83 (step @p10318 :rule nary_cong :premises (@p10317 @p10316) :args (@t6461)) % 1.61/1.83 (step @p10319 :rule cong :premises (@p10318) :args ((forall @t378 @t6461))) % 1.61/1.83 (step @p10320 :rule refl :args ((tptp.dsetconstr @t1 @t370))) % 1.61/1.83 (step @p10321 :rule refl :args (@t3124)) % 1.61/1.83 (step @p10322 :rule cong :premises (@p10321) :args (@t6458)) % 1.61/1.83 (step @p10323 :rule cong :premises (@p1998 @p10322) :args (@t6459)) % 1.61/1.83 (step @p10324 :rule trans :premises (@p10323 @p10320)) % 1.61/1.83 (step @p10325 :rule ho_cong :premises (@p2009 @p10322)) % 1.61/1.83 (step @p10326 :rule cong :premises (@p10325 @p10324) :args ((= (_ @t410 @t6458) @t6459))) % 1.61/1.83 (step @p10327 :rule symm :premises (@p10326)) % 1.61/1.83 (step @p10328 :rule refl :args (@t411)) % 1.61/1.83 (step @p10329 :rule eq_resolve :premises (@p10328 @p10327)) % 1.61/1.83 (step @p10330 :rule refl :args (@t369)) % 1.61/1.83 (step @p10331 :rule cong :premises (@p10330 @p10321) :args ((= @t369 @t3124))) % 1.61/1.83 (step @p10332 :rule symm :premises (@p10331)) % 1.61/1.83 (step @p10333 :rule eq_resolve :premises (@p10330 @p10332)) % 1.61/1.83 (step @p10334 :rule cong :premises (@p10333) :args (@t370)) % 1.61/1.83 (step @p10335 :rule ho_cong :premises (@p2009 @p10334)) % 1.61/1.83 (step @p10336 :rule trans :premises (@p10335 @p10329)) % 1.61/1.83 (step @p10337 :rule cong :premises (@p8516 @p10336) :args (@t412)) % 1.61/1.83 (step @p10338 :rule refl :args (@t6456)) % 1.61/1.83 (step @p10339 :rule nary_cong :premises (@p10338 @p10337) :args (@t6462)) % 1.61/1.83 (step @p10340 :rule cong :premises (@p10339) :args ((forall @t378 @t6462))) % 1.61/1.83 (step @p10341 :rule trans :premises (@p10340 @p10319)) % 1.61/1.83 (step @p10342 :rule bool-impl-elim :args (@t6455 @t412)) % 1.61/1.83 (step @p10343 :rule cong :premises (@p10342) :args ((forall @t378 (=> @t6455 @t412)))) % 1.61/1.83 (step @p10344 :rule trans :premises (@p10343 @p10341)) % 1.61/1.83 (step @p10345 :rule refl :args (@t412)) % 1.61/1.83 (step @p10346 :rule refl :args (@t6454)) % 1.61/1.83 (step @p10347 :rule refl :args (@t2990)) % 1.61/1.83 (step @p10348 :rule nary_cong :premises (@p883 @p10347 @p10346) :args (@t6463)) % 1.61/1.83 (step @p10349 :rule cong :premises (@p10348) :args ((forall @t9 @t6463))) % 1.61/1.83 (step @p10350 :rule aci_norm :args ((= (or @t197 @t6464) @t6463))) % 1.61/1.83 (step @p10351 :rule bool-impl-elim :args (@t7 @t6464)) % 1.61/1.83 (step @p10352 :rule trans :premises (@p10351 @p10350)) % 1.61/1.83 (step @p10353 :rule cong :premises (@p10352) :args ((forall @t9 (=> @t7 @t6464)))) % 1.61/1.83 (step @p10354 :rule trans :premises (@p10353 @p10349)) % 1.61/1.83 (step @p10355 :rule aci_norm :args ((= (or @t2990 false @t6454) @t6464))) % 1.61/1.83 (step @p10356 :rule refl :args (@t6454)) % 1.61/1.83 (step @p10357 :rule eq-refl :args (@t4)) % 1.61/1.83 (step @p10358 :rule cong :premises (@p10357) :args (@t6465)) % 1.61/1.83 (step @p10359 :rule trans :premises (@p10358 @p5597)) % 1.61/1.83 (step @p10360 :rule nary_cong :premises (@p9261 @p10359 @p10356) :args (@t6466)) % 1.61/1.83 (step @p10361 :rule trans :premises (@p10360 @p10355)) % 1.61/1.83 (step @p10362 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t2169 @t282 @t6467)) @t6466))) % 1.61/1.83 (step @p10363 :rule refl :args (@t6467)) % 1.61/1.83 (step @p10364 :rule refl :args (@t2169)) % 1.61/1.83 (step @p10365 :rule eq-symm :args (@t4 @t19)) % 1.61/1.83 (step @p10366 :rule cong :premises (@p10365) :args (@t282)) % 1.61/1.83 (step @p10367 :rule nary_cong :premises (@p10366 @p10364 @p8166 @p10363) :args (@t6468)) % 1.61/1.83 (step @p10368 :rule aci_norm :args ((= @t6469 @t6468))) % 1.61/1.83 (step @p10369 :rule trans :premises (@p10368 @p10367)) % 1.61/1.83 (step @p10370 :rule cong :premises (@p10369) :args ((forall @t70 @t6469))) % 1.61/1.83 (step @p10371 :rule trans :premises (@p10370 @p10362)) % 1.61/1.83 (step @p10372 :rule trans :premises (@p10371 @p10361)) % 1.61/1.83 (step @p10373 :rule refl :args (@t3102)) % 1.61/1.83 (step @p10374 :rule refl :args (@t373)) % 1.61/1.83 (step @p10375 :rule cong :premises (@p10374 @p10373) :args ((= @t373 @t3102))) % 1.61/1.83 (step @p10376 :rule symm :premises (@p10375)) % 1.61/1.83 (step @p10377 :rule eq_resolve :premises (@p10374 @p10376)) % 1.61/1.83 (step @p10378 :rule cong :premises (@p1815 @p10377) :args (@t374)) % 1.61/1.83 (step @p10379 :rule nary_cong :premises (@p2089 @p8166 @p10378) :args (@t6470)) % 1.61/1.83 (step @p10380 :rule cong :premises (@p10379) :args ((forall @t70 @t6470))) % 1.61/1.83 (step @p10381 :rule trans :premises (@p10380 @p10372)) % 1.61/1.83 (step @p10382 :rule aci_norm :args ((= (or @t4065 @t6471) @t6470))) % 1.61/1.83 (step @p10383 :rule bool-impl-elim :args (@t129 @t374)) % 1.61/1.83 (step @p10384 :rule nary_cong :premises (@p6624 @p10383) :args ((or @t4065 @t375))) % 1.61/1.83 (step @p10385 :rule trans :premises (@p10384 @p10382)) % 1.61/1.83 (step @p10386 :rule bool-impl-elim :args (@t354 @t375)) % 1.61/1.83 (step @p10387 :rule trans :premises (@p10386 @p10385)) % 1.61/1.83 (step @p10388 :rule cong :premises (@p10387) :args (@t413)) % 1.61/1.83 (step @p10389 :rule trans :premises (@p10388 @p10381)) % 1.61/1.83 (step @p10390 :rule cong :premises (@p942 @p10389) :args (@t414)) % 1.61/1.83 (step @p10391 :rule cong :premises (@p10390) :args (@t415)) % 1.61/1.83 (step @p10392 :rule trans :premises (@p10391 @p10354)) % 1.61/1.83 (step @p10393 :rule cong :premises (@p10392 @p10345) :args (@t416)) % 1.61/1.83 (step @p10394 :rule cong :premises (@p10393) :args (@t417)) % 1.61/1.83 (step @p10395 :rule trans :premises (@p10394 @p10344)) % 1.61/1.83 (step @p10396 :rule refl :args (@t3)) % 1.61/1.83 (step @p10397 :rule cong :premises (@p10396 @p10395) :args (@t418)) % 1.61/1.83 (step @p10398 :rule cong :premises (@p10397) :args (@t419)) % 1.61/1.83 (step @p10399 :rule trans :premises (@p10398 @p10313)) % 1.61/1.83 (step @p10400 :rule refl :args (tptp.dsetconstr__Cong)) % 1.61/1.83 (step @p10401 :rule cong :premises (@p10400 @p10399) :args (@t420)) % 1.61/1.83 (step @p10402 :rule eq_resolve :premises (@p75 @p10401)) % 1.61/1.83 (step @p10403 :rule cong :premises (@p10402 @p10280) :args (@t6472)) % 1.61/1.83 (step @p10404 :rule eq-symm :args (@t3101 @t19)) % 1.61/1.83 (step @p10405 :rule refl :args (@t3103)) % 1.61/1.83 (step @p10406 :rule nary_cong :premises (@p10405 @p10404) :args (@t6473)) % 1.61/1.83 (step @p10407 :rule cong :premises (@p10406) :args (@t6474)) % 1.61/1.83 (step @p10408 :rule cong :premises (@p10407) :args (@t6475)) % 1.61/1.83 (step @p10409 :rule refl :args (@t3104)) % 1.61/1.83 (step @p10410 :rule eq-symm :args (@t3105 @t19)) % 1.61/1.83 (step @p10411 :rule refl :args (@t2887)) % 1.61/1.83 (step @p10412 :rule nary_cong :premises (@p10411 @p10410) :args (@t6476)) % 1.61/1.83 (step @p10413 :rule cong :premises (@p10412) :args (@t6477)) % 1.61/1.83 (step @p10414 :rule cong :premises (@p10413) :args (@t6478)) % 1.61/1.83 (step @p10415 :rule refl :args (@t3106)) % 1.61/1.83 (step @p10416 :rule refl :args (@t3108)) % 1.61/1.83 (step @p10417 :rule refl :args (@t3111)) % 1.61/1.83 (step @p10418 :rule nary_cong :premises (@p10417 @p10416 @p10415 @p10414 @p10409 @p10408) :args (@t6479)) % 1.61/1.83 (step @p10419 :rule aci_norm :args ((= @t6482 @t6479))) % 1.61/1.83 (step @p10420 :rule trans :premises (@p10419 @p10418)) % 1.61/1.83 (step @p10421 :rule cong :premises (@p10420) :args (@t6483)) % 1.61/1.83 (step @p10422 :rule quant-merge-prenex :args ((= (forall @t378 @t6484) @t6483))) % 1.61/1.83 (step @p10423 :rule refl :args (@t3108)) % 1.61/1.83 (step @p10424 :rule alpha_equiv :args (@t6485 (@list @t3101) @t3992)) % 1.61/1.83 (step @p10425 :rule alpha_equiv :args (@t6486 (@list @t3105) @t3992)) % 1.61/1.83 (step @p10426 :rule refl :args (@t3111)) % 1.61/1.83 (step @p10427 :rule nary_cong :premises (@p10426 @p10425 @p10424 @p10423) :args (@t6487)) % 1.61/1.83 (step @p10428 :rule quant-miniscope-or :args ((= @t6484 @t6487))) % 1.61/1.83 (step @p10429 :rule trans :premises (@p10428 @p10427)) % 1.61/1.83 (step @p10430 :rule symm :premises (@p10429)) % 1.61/1.83 (step @p10431 :rule cong :premises (@p10430) :args ((forall @t378 (or @t3111 @t3129 @t3125 @t3108)))) % 1.61/1.83 (step @p10432 :rule trans :premises (@p10431 @p10422)) % 1.61/1.83 (step @p10433 :rule trans :premises (@p10432 @p10421)) % 1.61/1.83 (step @p10434 :rule cong :premises (@p10314) :args (@t6488)) % 1.61/1.83 (step @p10435 :rule cong :premises (@p7020) :args (@t6489)) % 1.61/1.83 (step @p10436 :rule cong :premises (@p10435 @p10434) :args (@t6490)) % 1.61/1.83 (step @p10437 :rule refl :args (@t3125)) % 1.61/1.83 (step @p10438 :rule refl :args (@t3129)) % 1.61/1.83 (step @p10439 :rule nary_cong :premises (@p10417 @p10438 @p10437 @p10436) :args (@t6491)) % 1.61/1.83 (step @p10440 :rule cong :premises (@p10439) :args ((forall @t378 @t6491))) % 1.61/1.83 (step @p10441 :rule trans :premises (@p10440 @p10433)) % 1.61/1.83 (step @p10442 :rule refl :args ((tptp.descr @t370))) % 1.61/1.83 (step @p10443 :rule cong :premises (@p10322) :args (@t6488)) % 1.61/1.83 (step @p10444 :rule trans :premises (@p10443 @p10442)) % 1.61/1.83 (step @p10445 :rule refl :args (tptp.descr)) % 1.61/1.83 (step @p10446 :rule ho_cong :premises (@p10445 @p10322)) % 1.61/1.83 (step @p10447 :rule cong :premises (@p10446 @p10444) :args ((= (_ tptp.descr @t6458) @t6488))) % 1.61/1.83 (step @p10448 :rule symm :premises (@p10447)) % 1.61/1.83 (step @p10449 :rule refl :args (@t403)) % 1.61/1.83 (step @p10450 :rule eq_resolve :premises (@p10449 @p10448)) % 1.61/1.83 (step @p10451 :rule ho_cong :premises (@p10445 @p10334)) % 1.61/1.83 (step @p10452 :rule trans :premises (@p10451 @p10450)) % 1.61/1.83 (step @p10453 :rule refl :args ((tptp.descr @t145))) % 1.61/1.83 (step @p10454 :rule cong :premises (@p7028) :args (@t6489)) % 1.61/1.83 (step @p10455 :rule trans :premises (@p10454 @p10453)) % 1.61/1.83 (step @p10456 :rule ho_cong :premises (@p10445 @p7028)) % 1.61/1.83 (step @p10457 :rule cong :premises (@p10456 @p10455) :args ((= (_ tptp.descr @t5821) @t6489))) % 1.61/1.83 (step @p10458 :rule symm :premises (@p10457)) % 1.61/1.83 (step @p10459 :rule refl :args (@t146)) % 1.61/1.83 (step @p10460 :rule eq_resolve :premises (@p10459 @p10458)) % 1.61/1.83 (step @p10461 :rule ho_cong :premises (@p10445 @p7037)) % 1.61/1.83 (step @p10462 :rule trans :premises (@p10461 @p10460)) % 1.61/1.83 (step @p10463 :rule cong :premises (@p10462 @p10452) :args (@t404)) % 1.61/1.83 (step @p10464 :rule refl :args (@t3125)) % 1.61/1.83 (step @p10465 :rule refl :args (@t3129)) % 1.61/1.83 (step @p10466 :rule nary_cong :premises (@p10426 @p10465 @p10464 @p10463) :args (@t6492)) % 1.61/1.83 (step @p10467 :rule cong :premises (@p10466) :args ((forall @t378 @t6492))) % 1.61/1.83 (step @p10468 :rule trans :premises (@p10467 @p10441)) % 1.61/1.83 (step @p10469 :rule aci_norm :args ((= (or @t3111 @t6493) @t6492))) % 1.61/1.83 (step @p10470 :rule aci_norm :args ((= (or @t3129 (or @t3125 @t404)) @t6493))) % 1.61/1.83 (step @p10471 :rule refl :args (@t404)) % 1.61/1.83 (step @p10472 :rule bool-double-not-elim :args (@t3125)) % 1.61/1.83 (step @p10473 :rule nary_cong :premises (@p10472 @p10471) :args ((or (not @t3126) @t404))) % 1.61/1.83 (step @p10474 :rule bool-impl-elim :args (@t3126 @t404)) % 1.61/1.83 (step @p10475 :rule trans :premises (@p10474 @p10473)) % 1.61/1.83 (step @p10476 :rule nary_cong :premises (@p10465 @p10475) :args ((or @t3129 @t6494))) % 1.61/1.83 (step @p10477 :rule trans :premises (@p10476 @p10470)) % 1.61/1.83 (step @p10478 :rule refl :args (@t6494)) % 1.61/1.83 (step @p10479 :rule bool-double-not-elim :args (@t3129)) % 1.61/1.83 (step @p10480 :rule nary_cong :premises (@p10479 @p10478) :args ((or @t6495 @t6494))) % 1.61/1.83 (step @p10481 :rule bool-impl-elim :args (@t3130 @t6494)) % 1.61/1.83 (step @p10482 :rule trans :premises (@p10481 @p10480)) % 1.61/1.83 (step @p10483 :rule trans :premises (@p10482 @p10477)) % 1.61/1.83 (step @p10484 :rule nary_cong :premises (@p10426 @p10483) :args ((or @t3111 @t6496))) % 1.61/1.83 (step @p10485 :rule trans :premises (@p10484 @p10469)) % 1.61/1.83 (step @p10486 :rule bool-impl-elim :args (@t3110 @t6496)) % 1.61/1.83 (step @p10487 :rule trans :premises (@p10486 @p10485)) % 1.61/1.83 (step @p10488 :rule cong :premises (@p10487) :args ((forall @t378 (=> @t3110 @t6496)))) % 1.61/1.83 (step @p10489 :rule trans :premises (@p10488 @p10468)) % 1.61/1.83 (step @p10490 :rule refl :args (@t404)) % 1.61/1.83 (step @p10491 :rule refl :args (@t3123)) % 1.61/1.83 (step @p10492 :rule cong :premises (@p10333) :args (@t6497)) % 1.61/1.83 (step @p10493 :rule nary_cong :premises (@p10492 @p10491) :args (@t6498)) % 1.61/1.83 (step @p10494 :rule cong :premises (@p10493) :args ((forall @t9 @t6498))) % 1.61/1.83 (step @p10495 :rule cong :premises (@p10377) :args (@t6499)) % 1.61/1.83 (step @p10496 :rule nary_cong :premises (@p10495 @p7069) :args (@t6500)) % 1.61/1.83 (step @p10497 :rule cong :premises (@p10496) :args ((forall @t70 @t6500))) % 1.61/1.83 (step @p10498 :rule beta-reduce :args ((= @t6501 @t373))) % 1.61/1.83 (step @p10499 :rule cong :premises (@p10498) :args (@t6502)) % 1.61/1.83 (step @p10500 :rule nary_cong :premises (@p10499 @p8200) :args (@t6503)) % 1.61/1.83 (step @p10501 :rule cong :premises (@p10500) :args (@t6504)) % 1.61/1.83 (step @p10502 :rule trans :premises (@p10501 @p10497)) % 1.61/1.83 (step @p10503 :rule cong :premises (@p10502) :args (@t6505)) % 1.61/1.83 (step @p10504 :rule beta-reduce :args ((= @t6506 @t369))) % 1.61/1.83 (step @p10505 :rule cong :premises (@p10504) :args (@t6507)) % 1.61/1.83 (step @p10506 :rule nary_cong :premises (@p10505 @p10503) :args (@t6508)) % 1.61/1.83 (step @p10507 :rule cong :premises (@p10506) :args (@t6509)) % 1.61/1.83 (step @p10508 :rule trans :premises (@p10507 @p10494)) % 1.61/1.83 (step @p10509 :rule cong :premises (@p10508) :args (@t6510)) % 1.61/1.83 (step @p10510 :rule beta-reduce :args ((= @t6512 @t6510))) % 1.61/1.83 (step @p10511 :rule trans :premises (@p10510 @p10509)) % 1.61/1.83 (step @p10512 :rule cong :premises (@p10511 @p10490) :args (@t6513)) % 1.61/1.83 (step @p10513 :rule refl :args (@t3128)) % 1.61/1.83 (step @p10514 :rule nary_cong :premises (@p7060 @p10513) :args (@t6514)) % 1.61/1.83 (step @p10515 :rule cong :premises (@p10514) :args ((forall @t9 @t6514))) % 1.61/1.83 (step @p10516 :rule nary_cong :premises (@p7075 @p7069) :args (@t5843)) % 1.61/1.83 (step @p10517 :rule cong :premises (@p10516) :args ((forall @t70 @t5843))) % 1.61/1.83 (step @p10518 :rule beta-reduce :args ((= @t6515 @t153))) % 1.61/1.83 (step @p10519 :rule cong :premises (@p10518) :args (@t6516)) % 1.61/1.83 (step @p10520 :rule nary_cong :premises (@p10519 @p8200) :args (@t6517)) % 1.61/1.83 (step @p10521 :rule cong :premises (@p10520) :args (@t6518)) % 1.61/1.83 (step @p10522 :rule trans :premises (@p10521 @p10517)) % 1.61/1.83 (step @p10523 :rule cong :premises (@p10522) :args (@t6519)) % 1.61/1.83 (step @p10524 :rule beta-reduce :args ((= @t6520 @t144))) % 1.61/1.83 (step @p10525 :rule cong :premises (@p10524) :args (@t6521)) % 1.61/1.83 (step @p10526 :rule nary_cong :premises (@p10525 @p10523) :args (@t6522)) % 1.61/1.83 (step @p10527 :rule cong :premises (@p10526) :args (@t6523)) % 1.61/1.83 (step @p10528 :rule trans :premises (@p10527 @p10515)) % 1.61/1.83 (step @p10529 :rule cong :premises (@p10528) :args (@t6524)) % 1.61/1.83 (step @p10530 :rule beta-reduce :args ((= @t6525 @t6524))) % 1.61/1.83 (step @p10531 :rule trans :premises (@p10530 @p10529)) % 1.61/1.83 (step @p10532 :rule cong :premises (@p10531 @p10512) :args (@t6526)) % 1.61/1.83 (step @p10533 :rule aci_norm :args ((= (or false @t3109) @t3109))) % 1.61/1.83 (step @p10534 :rule refl :args (@t3109)) % 1.61/1.83 (step @p10535 :rule nary_cong :premises (@p8141 @p10534) :args (@t6527)) % 1.61/1.83 (step @p10536 :rule trans :premises (@p10535 @p10533)) % 1.61/1.83 (step @p10537 :rule cong :premises (@p10536) :args ((forall @t70 @t6527))) % 1.61/1.83 (step @p10538 :rule quant-var-elim-eq :args ((= (forall @t9 @t6528) @t6527))) % 1.61/1.83 (step @p10539 :rule aci_norm :args ((= @t6529 @t6528))) % 1.61/1.83 (step @p10540 :rule cong :premises (@p10539) :args (@t6530)) % 1.61/1.83 (step @p10541 :rule trans :premises (@p10540 @p10538)) % 1.61/1.83 (step @p10542 :rule cong :premises (@p10541) :args (@t6531)) % 1.61/1.83 (step @p10543 :rule quant-merge-prenex :args ((= @t6531 @t6532))) % 1.61/1.83 (step @p10544 :rule symm :premises (@p10543)) % 1.61/1.83 (step @p10545 :rule quant_var_reordering :args ((= (forall @t135 @t6529) @t6532))) % 1.61/1.83 (step @p10546 :rule trans :premises (@p10545 @p10544 @p10542)) % 1.61/1.83 (step @p10547 :rule trans :premises (@p10546 @p10537)) % 1.61/1.83 (step @p10548 :rule nary_cong :premises (@p8166 @p10378) :args (@t6471)) % 1.61/1.83 (step @p10549 :rule cong :premises (@p10548) :args ((forall @t135 @t6471))) % 1.61/1.83 (step @p10550 :rule trans :premises (@p10549 @p10547)) % 1.61/1.83 (step @p10551 :rule cong :premises (@p10383) :args (@t376)) % 1.61/1.83 (step @p10552 :rule trans :premises (@p10551 @p10550)) % 1.61/1.83 (step @p10553 :rule cong :premises (@p10552 @p10532) :args (@t6533)) % 1.61/1.83 (step @p10554 :rule cong :premises (@p10553) :args (@t6534)) % 1.61/1.83 (step @p10555 :rule trans :premises (@p10554 @p10489)) % 1.61/1.83 (step @p10556 :rule refl :args (tptp.descr__Cong)) % 1.61/1.83 (step @p10557 :rule cong :premises (@p10556 @p10555) :args ((= tptp.descr__Cong @t6534))) % 1.61/1.83 (step @p10558 :rule refl :args (@t370)) % 1.61/1.83 (step @p10559 :rule bool-and-de-morgan :args (@t144 @t3127 true)) % 1.61/1.83 (step @p10560 :rule cong :premises (@p10559) :args (@t6536)) % 1.61/1.83 (step @p10561 :rule trans :premises (@p10560 @p10515)) % 1.61/1.83 (step @p10562 :rule cong :premises (@p10561) :args (@t6537)) % 1.61/1.83 (step @p10563 :rule exists-elim :args ((= (exists @t9 @t6535) @t6537))) % 1.61/1.83 (step @p10564 :rule trans :premises (@p10563 @p10562)) % 1.61/1.83 (step @p10565 :rule cong :premises (@p7087) :args (@t167)) % 1.61/1.83 (step @p10566 :rule trans :premises (@p10565 @p10517)) % 1.61/1.83 (step @p10567 :rule nary_cong :premises (@p8455 @p10566) :args (@t168)) % 1.61/1.83 (step @p10568 :rule cong :premises (@p10567) :args (@t169)) % 1.61/1.83 (step @p10569 :rule trans :premises (@p10568 @p10564)) % 1.61/1.83 (step @p10570 :rule cong :premises (@p10569) :args (@t2026)) % 1.61/1.83 (step @p10571 :rule trans :premises (@p304 @p10570)) % 1.61/1.83 (step @p10572 :rule ho_cong :premises (@p10571 @p10558)) % 1.61/1.83 (step @p10573 :rule cong :premises (@p10572 @p10490) :args (@t405)) % 1.61/1.83 (step @p10574 :rule refl :args (@t145)) % 1.61/1.83 (step @p10575 :rule ho_cong :premises (@p10571 @p10574)) % 1.61/1.83 (step @p10576 :rule cong :premises (@p10575 @p10573) :args (@t406)) % 1.61/1.83 (step @p10577 :rule refl :args (@t376)) % 1.61/1.83 (step @p10578 :rule cong :premises (@p10577 @p10576) :args (@t407)) % 1.61/1.83 (step @p10579 :rule cong :premises (@p10578) :args (@t408)) % 1.61/1.83 (step @p10580 :rule cong :premises (@p10556 @p10579) :args (@t409)) % 1.61/1.83 (step @p10581 :rule trans :premises (@p10580 @p10557)) % 1.61/1.83 (step @p10582 :rule eq_resolve :premises (@p74 @p10581)) % 1.61/1.83 (step @p10583 :rule cong :premises (@p10582 @p10403) :args (@t6538)) % 1.61/1.83 (step @p10584 :rule refl :args (@t3116)) % 1.61/1.83 (step @p10585 :rule refl :args (@t3117)) % 1.61/1.83 (step @p10586 :rule refl :args (@t3118)) % 1.61/1.83 (step @p10587 :rule eq-symm :args (@t3119 @t19)) % 1.61/1.83 (step @p10588 :rule nary_cong :premises (@p10411 @p10587) :args (@t6539)) % 1.61/1.83 (step @p10589 :rule cong :premises (@p10588) :args (@t6540)) % 1.61/1.83 (step @p10590 :rule cong :premises (@p10589) :args (@t6541)) % 1.61/1.83 (step @p10591 :rule refl :args (@t3120)) % 1.61/1.83 (step @p10592 :rule nary_cong :premises (@p10591 @p10590 @p10586 @p10585 @p10584) :args (@t6542)) % 1.61/1.83 (step @p10593 :rule aci_norm :args ((= @t6545 @t6542))) % 1.61/1.83 (step @p10594 :rule trans :premises (@p10593 @p10592)) % 1.61/1.83 (step @p10595 :rule cong :premises (@p10594) :args (@t6546)) % 1.61/1.83 (step @p10596 :rule quant-merge-prenex :args ((= (forall @t150 @t6547) @t6546))) % 1.61/1.83 (step @p10597 :rule alpha_equiv :args (@t6548 (@list @t3115 @t3114) (@list @t4 @t19))) % 1.61/1.83 (step @p10598 :rule alpha_equiv :args (@t6549 (@list @t3119) @t3992)) % 1.61/1.83 (step @p10599 :rule nary_cong :premises (@p10598 @p10597) :args (@t6550)) % 1.61/1.83 (step @p10600 :rule quant-miniscope-or :args ((= @t6547 @t6550))) % 1.61/1.83 (step @p10601 :rule trans :premises (@p10600 @p10599)) % 1.61/1.83 (step @p10602 :rule symm :premises (@p10601)) % 1.61/1.83 (step @p10603 :rule cong :premises (@p10602) :args ((forall @t150 (or @t3129 @t3136)))) % 1.61/1.83 (step @p10604 :rule trans :premises (@p10603 @p10596)) % 1.61/1.83 (step @p10605 :rule trans :premises (@p10604 @p10595)) % 1.61/1.83 (step @p10606 :rule refl :args (@t3136)) % 1.61/1.83 (step @p10607 :rule nary_cong :premises (@p10479 @p10606) :args ((or @t6495 @t3136))) % 1.61/1.83 (step @p10608 :rule bool-impl-elim :args (@t3130 @t3136)) % 1.61/1.83 (step @p10609 :rule trans :premises (@p10608 @p10607)) % 1.61/1.83 (step @p10610 :rule cong :premises (@p10609) :args ((forall @t150 (=> @t3130 @t3136)))) % 1.61/1.83 (step @p10611 :rule trans :premises (@p10610 @p10605)) % 1.61/1.83 (step @p10612 :rule nary_cong :premises (@p7060 @p7075 @p7069) :args (@t5842)) % 1.61/1.83 (step @p10613 :rule cong :premises (@p10612) :args ((forall @t135 @t5842))) % 1.61/1.83 (step @p10614 :rule cong :premises (@p7092) :args (@t346)) % 1.61/1.83 (step @p10615 :rule trans :premises (@p10614 @p10613)) % 1.61/1.83 (step @p10616 :rule cong :premises (@p10531 @p10615) :args (@t6551)) % 1.61/1.83 (step @p10617 :rule cong :premises (@p10616) :args (@t6552)) % 1.61/1.83 (step @p10618 :rule trans :premises (@p10617 @p10611)) % 1.61/1.83 (step @p10619 :rule refl :args (tptp.exuEu)) % 1.61/1.83 (step @p10620 :rule cong :premises (@p10619 @p10618) :args ((= tptp.exuEu @t6552))) % 1.61/1.83 (step @p10621 :rule refl :args (@t346)) % 1.61/1.83 (step @p10622 :rule cong :premises (@p10575 @p10621) :args (@t365)) % 1.61/1.83 (step @p10623 :rule cong :premises (@p10622) :args (@t366)) % 1.61/1.83 (step @p10624 :rule cong :premises (@p10619 @p10623) :args (@t402)) % 1.61/1.83 (step @p10625 :rule trans :premises (@p10624 @p10620)) % 1.61/1.83 (step @p10626 :rule eq_resolve :premises (@p73 @p10625)) % 1.61/1.83 (step @p10627 :rule cong :premises (@p10626 @p10583) :args (@t6553)) % 1.61/1.83 (step @p10628 :rule bool-eq-true :args (tptp.omega__Cong)) % 1.61/1.83 (step @p10629 :rule symm :premises (@p10628)) % 1.61/1.83 (step @p10630 :rule eq-refl :args (tptp.omega)) % 1.61/1.83 (step @p10631 :rule refl :args (tptp.omega__Cong)) % 1.61/1.83 (step @p10632 :rule cong :premises (@p10631 @p10630) :args (@t401)) % 1.61/1.83 (step @p10633 :rule trans :premises (@p10632 @p10628)) % 1.61/1.83 (step @p10634 :rule eq_resolve :premises (@p72 @p10633)) % 1.61/1.83 (step @p10635 :rule eq_resolve :premises (@p10634 @p10629)) % 1.61/1.83 (step @p10636 :rule cong :premises (@p10635 @p10627) :args (@t6554)) % 1.61/1.83 (step @p10637 :rule bool-eq-true :args (tptp.setunion__Cong)) % 1.61/1.83 (step @p10638 :rule symm :premises (@p10637)) % 1.61/1.83 (step @p10639 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 1.61/1.83 (step @p10640 :rule evaluate :args ((or false true))) % 1.61/1.83 (step @p10641 :rule eq-refl :args (@t6555)) % 1.61/1.83 (step @p10642 :rule nary_cong :premises (@p10097 @p10641) :args (@t6556)) % 1.61/1.83 (step @p10643 :rule trans :premises (@p10642 @p10640)) % 1.61/1.83 (step @p10644 :rule cong :premises (@p10643) :args ((forall @t41 @t6556))) % 1.61/1.83 (step @p10645 :rule trans :premises (@p10644 @p10639)) % 1.61/1.83 (step @p10646 :rule quant-var-elim-eq :args ((= (forall @t64 @t6558) @t6556))) % 1.61/1.83 (step @p10647 :rule aci_norm :args ((= @t6559 @t6558))) % 1.61/1.83 (step @p10648 :rule cong :premises (@p10647) :args (@t6560)) % 1.61/1.83 (step @p10649 :rule trans :premises (@p10648 @p10646)) % 1.61/1.83 (step @p10650 :rule cong :premises (@p10649) :args (@t6561)) % 1.61/1.83 (step @p10651 :rule quant-merge-prenex :args ((= @t6561 @t6562))) % 1.61/1.83 (step @p10652 :rule symm :premises (@p10651)) % 1.61/1.83 (step @p10653 :rule quant_var_reordering :args ((= (forall @t12 @t6559) @t6562))) % 1.61/1.83 (step @p10654 :rule trans :premises (@p10653 @p10652 @p10650)) % 1.61/1.83 (step @p10655 :rule trans :premises (@p10654 @p10645)) % 1.61/1.83 (step @p10656 :rule refl :args (@t6555)) % 1.61/1.83 (step @p10657 :rule refl :args (@t397)) % 1.61/1.83 (step @p10658 :rule cong :premises (@p10657 @p10656) :args ((= @t397 @t6555))) % 1.61/1.83 (step @p10659 :rule symm :premises (@p10658)) % 1.61/1.83 (step @p10660 :rule eq_resolve :premises (@p10657 @p10659)) % 1.61/1.83 (step @p10661 :rule cong :premises (@p8621 @p10660) :args (@t398)) % 1.61/1.83 (step @p10662 :rule nary_cong :premises (@p10112 @p10661) :args (@t6563)) % 1.61/1.83 (step @p10663 :rule cong :premises (@p10662) :args ((forall @t12 @t6563))) % 1.61/1.83 (step @p10664 :rule trans :premises (@p10663 @p10655)) % 1.61/1.83 (step @p10665 :rule bool-impl-elim :args (@t3 @t398)) % 1.61/1.83 (step @p10666 :rule cong :premises (@p10665) :args (@t399)) % 1.61/1.83 (step @p10667 :rule trans :premises (@p10666 @p10664)) % 1.61/1.83 (step @p10668 :rule refl :args (tptp.setunion__Cong)) % 1.61/1.83 (step @p10669 :rule cong :premises (@p10668 @p10667) :args (@t400)) % 1.61/1.83 (step @p10670 :rule trans :premises (@p10669 @p10637)) % 1.61/1.83 (step @p10671 :rule eq_resolve :premises (@p71 @p10670)) % 1.61/1.83 (step @p10672 :rule eq_resolve :premises (@p10671 @p10638)) % 1.61/1.83 (step @p10673 :rule cong :premises (@p10672 @p10636) :args (@t6564)) % 1.61/1.83 (step @p10674 :rule bool-eq-true :args (tptp.powerset__Cong)) % 1.61/1.83 (step @p10675 :rule symm :premises (@p10674)) % 1.61/1.83 (step @p10676 :rule eq-refl :args (@t3055)) % 1.61/1.83 (step @p10677 :rule nary_cong :premises (@p10097 @p10676) :args (@t6565)) % 1.61/1.83 (step @p10678 :rule trans :premises (@p10677 @p10640)) % 1.61/1.83 (step @p10679 :rule cong :premises (@p10678) :args ((forall @t41 @t6565))) % 1.61/1.83 (step @p10680 :rule trans :premises (@p10679 @p10639)) % 1.61/1.83 (step @p10681 :rule quant-var-elim-eq :args ((= (forall @t64 @t6567) @t6565))) % 1.61/1.83 (step @p10682 :rule aci_norm :args ((= @t6568 @t6567))) % 1.61/1.83 (step @p10683 :rule cong :premises (@p10682) :args (@t6569)) % 1.61/1.83 (step @p10684 :rule trans :premises (@p10683 @p10681)) % 1.61/1.83 (step @p10685 :rule cong :premises (@p10684) :args (@t6570)) % 1.61/1.83 (step @p10686 :rule quant-merge-prenex :args ((= @t6570 @t6571))) % 1.61/1.83 (step @p10687 :rule symm :premises (@p10686)) % 1.61/1.83 (step @p10688 :rule quant_var_reordering :args ((= (forall @t12 @t6568) @t6571))) % 1.61/1.83 (step @p10689 :rule trans :premises (@p10688 @p10687 @p10685)) % 1.61/1.83 (step @p10690 :rule trans :premises (@p10689 @p10680)) % 1.61/1.83 (step @p10691 :rule cong :premises (@p2166 @p9899) :args (@t394)) % 1.61/1.83 (step @p10692 :rule nary_cong :premises (@p10112 @p10691) :args (@t6572)) % 1.61/1.83 (step @p10693 :rule cong :premises (@p10692) :args ((forall @t12 @t6572))) % 1.61/1.83 (step @p10694 :rule trans :premises (@p10693 @p10690)) % 1.61/1.83 (step @p10695 :rule bool-impl-elim :args (@t3 @t394)) % 1.61/1.83 (step @p10696 :rule cong :premises (@p10695) :args (@t395)) % 1.61/1.83 (step @p10697 :rule trans :premises (@p10696 @p10694)) % 1.61/1.83 (step @p10698 :rule refl :args (tptp.powerset__Cong)) % 1.61/1.83 (step @p10699 :rule cong :premises (@p10698 @p10697) :args (@t396)) % 1.61/1.83 (step @p10700 :rule trans :premises (@p10699 @p10674)) % 1.61/1.83 (step @p10701 :rule eq_resolve :premises (@p70 @p10700)) % 1.61/1.83 (step @p10702 :rule eq_resolve :premises (@p10701 @p10675)) % 1.61/1.83 (step @p10703 :rule cong :premises (@p10702 @p10673) :args (@t6573)) % 1.61/1.83 (step @p10704 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 1.61/1.83 (step @p10705 :rule symm :premises (@p10704)) % 1.61/1.83 (step @p10706 :rule quant-unused-vars :args ((= (forall @t6575 true) true))) % 1.61/1.83 (step @p10707 :rule eq-refl :args (@t6576)) % 1.61/1.83 (step @p10708 :rule nary_cong :premises (@p8141 @p10707) :args (@t6577)) % 1.61/1.83 (step @p10709 :rule trans :premises (@p10708 @p10640)) % 1.61/1.83 (step @p10710 :rule cong :premises (@p10709) :args ((forall @t6575 @t6577))) % 1.61/1.83 (step @p10711 :rule trans :premises (@p10710 @p10706)) % 1.61/1.83 (step @p10712 :rule quant-var-elim-eq :args ((= (forall @t9 @t6579) @t6577))) % 1.61/1.83 (step @p10713 :rule aci_norm :args ((= @t6580 @t6579))) % 1.61/1.83 (step @p10714 :rule cong :premises (@p10713) :args (@t6581)) % 1.61/1.83 (step @p10715 :rule trans :premises (@p10714 @p10712)) % 1.61/1.83 (step @p10716 :rule cong :premises (@p10715) :args (@t6582)) % 1.61/1.83 (step @p10717 :rule quant-merge-prenex :args ((= @t6582 @t6583))) % 1.61/1.83 (step @p10718 :rule symm :premises (@p10717)) % 1.61/1.83 (step @p10719 :rule quant_var_reordering :args ((= @t6584 @t6583))) % 1.61/1.83 (step @p10720 :rule trans :premises (@p10719 @p10718 @p10716)) % 1.61/1.83 (step @p10721 :rule trans :premises (@p10720 @p10711)) % 1.61/1.83 (step @p10722 :rule quant-merge-prenex :args ((= (forall @t135 @t6586) @t6584))) % 1.61/1.83 (step @p10723 :rule alpha_equiv :args (@t6587 (@list @t6574) (@list @t383))) % 1.61/1.83 (step @p10724 :rule nary_cong :premises (@p8166 @p10723) :args (@t6588)) % 1.61/1.83 (step @p10725 :rule quant-miniscope-or :args ((= @t6586 @t6588))) % 1.61/1.83 (step @p10726 :rule trans :premises (@p10725 @p10724)) % 1.61/1.83 (step @p10727 :rule symm :premises (@p10726)) % 1.61/1.83 (step @p10728 :rule cong :premises (@p10727) :args ((forall @t135 (or @t282 @t6592)))) % 1.61/1.83 (step @p10729 :rule trans :premises (@p10728 @p10722)) % 1.61/1.83 (step @p10730 :rule trans :premises (@p10729 @p10721)) % 1.61/1.83 (step @p10731 :rule bool-impl-elim :args (@t129 @t6592)) % 1.61/1.83 (step @p10732 :rule cong :premises (@p10731) :args ((forall @t135 (=> @t129 @t6592)))) % 1.61/1.83 (step @p10733 :rule trans :premises (@p10732 @p10730)) % 1.61/1.83 (step @p10734 :rule aci_norm :args ((= (or false @t6591) @t6591))) % 1.61/1.83 (step @p10735 :rule eq-symm :args (@t6589 @t6590)) % 1.61/1.83 (step @p10736 :rule nary_cong :premises (@p8105 @p10735) :args (@t6593)) % 1.61/1.83 (step @p10737 :rule trans :premises (@p10736 @p10734)) % 1.61/1.83 (step @p10738 :rule cong :premises (@p10737) :args ((forall @t757 @t6593))) % 1.61/1.83 (step @p10739 :rule quant-var-elim-eq :args ((= (forall @t1067 @t6596) @t6593))) % 1.61/1.83 (step @p10740 :rule aci_norm :args ((= @t6597 @t6596))) % 1.61/1.83 (step @p10741 :rule cong :premises (@p10740) :args (@t6598)) % 1.61/1.83 (step @p10742 :rule trans :premises (@p10741 @p10739)) % 1.61/1.83 (step @p10743 :rule cong :premises (@p10742) :args (@t6599)) % 1.61/1.83 (step @p10744 :rule quant-merge-prenex :args ((= @t6599 @t6600))) % 1.61/1.83 (step @p10745 :rule symm :premises (@p10744)) % 1.61/1.83 (step @p10746 :rule quant_var_reordering :args ((= (forall @t388 @t6597) @t6600))) % 1.61/1.83 (step @p10747 :rule trans :premises (@p10746 @p10745 @p10743)) % 1.61/1.83 (step @p10748 :rule trans :premises (@p10747 @p10738)) % 1.61/1.83 (step @p10749 :rule refl :args (@t6590)) % 1.61/1.83 (step @p10750 :rule refl :args (@t384)) % 1.61/1.83 (step @p10751 :rule cong :premises (@p10750 @p10749) :args ((= @t384 @t6590))) % 1.61/1.83 (step @p10752 :rule symm :premises (@p10751)) % 1.61/1.83 (step @p10753 :rule eq_resolve :premises (@p10750 @p10752)) % 1.61/1.83 (step @p10754 :rule refl :args (@t6594)) % 1.61/1.83 (step @p10755 :rule refl :args (@t385)) % 1.61/1.83 (step @p10756 :rule cong :premises (@p10755 @p10754) :args ((= @t385 @t6594))) % 1.61/1.83 (step @p10757 :rule symm :premises (@p10756)) % 1.61/1.83 (step @p10758 :rule eq_resolve :premises (@p10755 @p10757)) % 1.61/1.83 (step @p10759 :rule cong :premises (@p10758 @p10753) :args (@t386)) % 1.61/1.83 (step @p10760 :rule nary_cong :premises (@p8120 @p10759) :args (@t6601)) % 1.61/1.83 (step @p10761 :rule cong :premises (@p10760) :args ((forall @t388 @t6601))) % 1.61/1.83 (step @p10762 :rule trans :premises (@p10761 @p10748)) % 1.61/1.83 (step @p10763 :rule bool-impl-elim :args (@t387 @t386)) % 1.61/1.83 (step @p10764 :rule cong :premises (@p10763) :args (@t389)) % 1.61/1.83 (step @p10765 :rule trans :premises (@p10764 @p10762)) % 1.61/1.83 (step @p10766 :rule cong :premises (@p8200 @p10765) :args (@t390)) % 1.61/1.83 (step @p10767 :rule cong :premises (@p10766) :args (@t391)) % 1.61/1.83 (step @p10768 :rule trans :premises (@p10767 @p10733)) % 1.61/1.83 (step @p10769 :rule refl :args (tptp.setadjoin__Cong)) % 1.61/1.83 (step @p10770 :rule cong :premises (@p10769 @p10768) :args (@t392)) % 1.61/1.83 (step @p10771 :rule trans :premises (@p10770 @p10704)) % 1.61/1.83 (step @p10772 :rule eq_resolve :premises (@p69 @p10771)) % 1.61/1.83 (step @p10773 :rule eq_resolve :premises (@p10772 @p10705)) % 1.61/1.83 (step @p10774 :rule cong :premises (@p10773 @p10703) :args (@t6602)) % 1.61/1.83 (step @p10775 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 1.61/1.83 (step @p10776 :rule symm :premises (@p10775)) % 1.61/1.83 (step @p10777 :rule eq-refl :args (tptp.emptyset)) % 1.61/1.83 (step @p10778 :rule refl :args (tptp.emptyset__Cong)) % 1.61/1.83 (step @p10779 :rule cong :premises (@p10778 @p10777) :args (@t382)) % 1.61/1.83 (step @p10780 :rule trans :premises (@p10779 @p10775)) % 1.61/1.83 (step @p10781 :rule eq_resolve :premises (@p68 @p10780)) % 1.61/1.83 (step @p10782 :rule eq_resolve :premises (@p10781 @p10776)) % 1.61/1.83 (step @p10783 :rule cong :premises (@p10782 @p10774) :args (@t6603)) % 1.61/1.83 (step @p10784 :rule bool-impl-elim :args (@t3110 @t3131)) % 1.61/1.83 (step @p10785 :rule cong :premises (@p10784) :args ((forall @t378 (=> @t3110 @t3131)))) % 1.61/1.83 (step @p10786 :rule cong :premises (@p10531 @p10511) :args (@t6604)) % 1.61/1.83 (step @p10787 :rule cong :premises (@p10552 @p10786) :args (@t6605)) % 1.61/1.83 (step @p10788 :rule cong :premises (@p10787) :args (@t6606)) % 1.61/1.83 (step @p10789 :rule trans :premises (@p10788 @p10785)) % 1.61/1.83 (step @p10790 :rule refl :args (tptp.exu__Cong)) % 1.61/1.83 (step @p10791 :rule cong :premises (@p10790 @p10789) :args ((= tptp.exu__Cong @t6606))) % 1.61/1.83 (step @p10792 :rule cong :premises (@p10575 @p10572) :args (@t372)) % 1.61/1.83 (step @p10793 :rule cong :premises (@p10577 @p10792) :args (@t377)) % 1.61/1.83 (step @p10794 :rule cong :premises (@p10793) :args (@t379)) % 1.61/1.83 (step @p10795 :rule cong :premises (@p10790 @p10794) :args (@t380)) % 1.61/1.83 (step @p10796 :rule trans :premises (@p10795 @p10791)) % 1.61/1.83 (step @p10797 :rule eq_resolve :premises (@p67 @p10796)) % 1.61/1.83 (step @p10798 :rule cong :premises (@p10797 @p10783) :args (@t6607)) % 1.61/1.83 (step @p10799 :rule refl :args (tptp.exuE3u)) % 1.61/1.83 (step @p10800 :rule cong :premises (@p10799 @p10618) :args ((= tptp.exuE3u @t6552))) % 1.61/1.83 (step @p10801 :rule cong :premises (@p10799 @p10623) :args (@t367)) % 1.61/1.83 (step @p10802 :rule trans :premises (@p10801 @p10800)) % 1.61/1.83 (step @p10803 :rule eq_resolve :premises (@p66 @p10802)) % 1.61/1.83 (step @p10804 :rule cong :premises (@p10803 @p10798) :args (@t6608)) % 1.61/1.83 (step @p10805 :rule bool-eq-true :args (tptp.in__Cong)) % 1.61/1.83 (step @p10806 :rule symm :premises (@p10805)) % 1.61/1.83 (step @p10807 :rule quant-unused-vars :args ((= (forall @t6610 true) true))) % 1.61/1.83 (step @p10808 :rule eq-refl :args (@t6611)) % 1.61/1.83 (step @p10809 :rule nary_cong :premises (@p10097 @p10808) :args (@t6612)) % 1.61/1.83 (step @p10810 :rule trans :premises (@p10809 @p10640)) % 1.61/1.83 (step @p10811 :rule cong :premises (@p10810) :args ((forall @t6610 @t6612))) % 1.61/1.83 (step @p10812 :rule trans :premises (@p10811 @p10807)) % 1.61/1.83 (step @p10813 :rule quant-var-elim-eq :args ((= (forall @t64 @t6614) @t6612))) % 1.61/1.83 (step @p10814 :rule aci_norm :args ((= @t6615 @t6614))) % 1.61/1.83 (step @p10815 :rule cong :premises (@p10814) :args (@t6616)) % 1.61/1.83 (step @p10816 :rule trans :premises (@p10815 @p10813)) % 1.61/1.83 (step @p10817 :rule cong :premises (@p10816) :args (@t6617)) % 1.61/1.83 (step @p10818 :rule quant-merge-prenex :args ((= @t6617 @t6618))) % 1.61/1.83 (step @p10819 :rule symm :premises (@p10818)) % 1.61/1.83 (step @p10820 :rule quant_var_reordering :args ((= @t6619 @t6618))) % 1.61/1.83 (step @p10821 :rule trans :premises (@p10820 @p10819 @p10817)) % 1.61/1.83 (step @p10822 :rule trans :premises (@p10821 @p10812)) % 1.61/1.83 (step @p10823 :rule quant-merge-prenex :args ((= (forall @t12 @t6621) @t6619))) % 1.61/1.83 (step @p10824 :rule alpha_equiv :args (@t6622 (@list @t6609) @t3627)) % 1.61/1.83 (step @p10825 :rule nary_cong :premises (@p10112 @p10824) :args (@t6623)) % 1.61/1.83 (step @p10826 :rule quant-miniscope-or :args ((= @t6621 @t6623))) % 1.61/1.83 (step @p10827 :rule trans :premises (@p10826 @p10825)) % 1.61/1.83 (step @p10828 :rule symm :premises (@p10827)) % 1.61/1.83 (step @p10829 :rule cong :premises (@p10828) :args ((forall @t12 (or @t445 @t6625)))) % 1.61/1.83 (step @p10830 :rule trans :premises (@p10829 @p10823)) % 1.61/1.83 (step @p10831 :rule trans :premises (@p10830 @p10822)) % 1.61/1.83 (step @p10832 :rule bool-impl-elim :args (@t3 @t6625)) % 1.61/1.83 (step @p10833 :rule cong :premises (@p10832) :args ((forall @t12 (=> @t3 @t6625)))) % 1.61/1.83 (step @p10834 :rule trans :premises (@p10833 @p10831)) % 1.61/1.83 (step @p10835 :rule aci_norm :args ((= (or false @t6624) @t6624))) % 1.61/1.83 (step @p10836 :rule refl :args (@t6624)) % 1.61/1.83 (step @p10837 :rule nary_cong :premises (@p8141 @p10836) :args (@t6626)) % 1.61/1.83 (step @p10838 :rule trans :premises (@p10837 @p10835)) % 1.61/1.83 (step @p10839 :rule cong :premises (@p10838) :args ((forall @t70 @t6626))) % 1.61/1.83 (step @p10840 :rule quant-var-elim-eq :args ((= (forall @t9 @t6628) @t6626))) % 1.61/1.83 (step @p10841 :rule aci_norm :args ((= @t6629 @t6628))) % 1.61/1.83 (step @p10842 :rule cong :premises (@p10841) :args (@t6630)) % 1.61/1.83 (step @p10843 :rule trans :premises (@p10842 @p10840)) % 1.61/1.83 (step @p10844 :rule cong :premises (@p10843) :args (@t6631)) % 1.61/1.83 (step @p10845 :rule quant-merge-prenex :args ((= @t6631 @t6632))) % 1.61/1.83 (step @p10846 :rule symm :premises (@p10845)) % 1.61/1.83 (step @p10847 :rule quant_var_reordering :args ((= (forall @t135 @t6629) @t6632))) % 1.61/1.83 (step @p10848 :rule trans :premises (@p10847 @p10846 @p10844)) % 1.61/1.83 (step @p10849 :rule trans :premises (@p10848 @p10839)) % 1.61/1.83 (step @p10850 :rule cong :premises (@p882 @p2088) :args (@t360)) % 1.61/1.83 (step @p10851 :rule nary_cong :premises (@p8166 @p10850) :args (@t6633)) % 1.61/1.83 (step @p10852 :rule cong :premises (@p10851) :args ((forall @t135 @t6633))) % 1.61/1.83 (step @p10853 :rule trans :premises (@p10852 @p10849)) % 1.61/1.83 (step @p10854 :rule bool-impl-elim :args (@t129 @t360)) % 1.61/1.83 (step @p10855 :rule cong :premises (@p10854) :args (@t361)) % 1.61/1.83 (step @p10856 :rule trans :premises (@p10855 @p10853)) % 1.61/1.83 (step @p10857 :rule cong :premises (@p10396 @p10856) :args (@t362)) % 1.61/1.83 (step @p10858 :rule cong :premises (@p10857) :args (@t363)) % 1.61/1.83 (step @p10859 :rule trans :premises (@p10858 @p10834)) % 1.61/1.83 (step @p10860 :rule refl :args (tptp.in__Cong)) % 1.61/1.83 (step @p10861 :rule cong :premises (@p10860 @p10859) :args (@t364)) % 1.61/1.83 (step @p10862 :rule trans :premises (@p10861 @p10805)) % 1.61/1.83 (step @p10863 :rule eq_resolve :premises (@p65 @p10862)) % 1.61/1.83 (step @p10864 :rule eq_resolve :premises (@p10863 @p10806)) % 1.61/1.83 (step @p10865 :rule cong :premises (@p10864 @p10804) :args (@t6634)) % 1.61/1.83 (step @p10866 :rule bool-eq-true :args (tptp.inCongP)) % 1.61/1.83 (step @p10867 :rule symm :premises (@p10866)) % 1.61/1.83 (step @p10868 :rule quant-unused-vars :args ((= (forall @t6636 true) true))) % 1.61/1.83 (step @p10869 :rule bool-or-taut2 :args (false @t6637 false false)) % 1.61/1.83 (step @p10870 :rule cong :premises (@p10869) :args ((forall @t6636 @t6639))) % 1.61/1.83 (step @p10871 :rule trans :premises (@p10870 @p10868)) % 1.61/1.83 (step @p10872 :rule aci_norm :args ((= (or false @t6638 @t6637) @t6639))) % 1.61/1.83 (step @p10873 :rule refl :args (@t6637)) % 1.61/1.83 (step @p10874 :rule refl :args (@t6638)) % 1.61/1.83 (step @p10875 :rule nary_cong :premises (@p10097 @p10874 @p10873) :args (@t6640)) % 1.61/1.83 (step @p10876 :rule trans :premises (@p10875 @p10872)) % 1.61/1.83 (step @p10877 :rule cong :premises (@p10876) :args ((forall @t6636 @t6640))) % 1.61/1.83 (step @p10878 :rule trans :premises (@p10877 @p10871)) % 1.61/1.83 (step @p10879 :rule quant-var-elim-eq :args ((= (forall @t64 @t6642) @t6640))) % 1.61/1.83 (step @p10880 :rule aci_norm :args ((= @t6643 @t6642))) % 1.61/1.83 (step @p10881 :rule cong :premises (@p10880) :args (@t6644)) % 1.61/1.83 (step @p10882 :rule trans :premises (@p10881 @p10879)) % 1.61/1.83 (step @p10883 :rule cong :premises (@p10882) :args (@t6645)) % 1.61/1.83 (step @p10884 :rule quant-merge-prenex :args ((= @t6645 @t6646))) % 1.61/1.83 (step @p10885 :rule symm :premises (@p10884)) % 1.61/1.83 (step @p10886 :rule quant_var_reordering :args ((= (forall @t6647 @t6643) @t6646))) % 1.61/1.83 (step @p10887 :rule trans :premises (@p10886 @p10885 @p10883)) % 1.61/1.83 (step @p10888 :rule trans :premises (@p10887 @p10878)) % 1.61/1.83 (step @p10889 :rule aci_norm :args ((= @t6649 @t6643))) % 1.61/1.83 (step @p10890 :rule cong :premises (@p10889) :args (@t6650)) % 1.61/1.83 (step @p10891 :rule trans :premises (@p10890 @p10888)) % 1.61/1.83 (step @p10892 :rule quant-merge-prenex :args ((= (forall @t12 @t6652) @t6650))) % 1.61/1.83 (step @p10893 :rule alpha_equiv :args (@t6653 (@list @t6635) @t3627)) % 1.61/1.83 (step @p10894 :rule nary_cong :premises (@p10112 @p10893) :args (@t6654)) % 1.61/1.83 (step @p10895 :rule quant-miniscope-or :args ((= @t6652 @t6654))) % 1.61/1.83 (step @p10896 :rule trans :premises (@p10895 @p10894)) % 1.61/1.83 (step @p10897 :rule symm :premises (@p10896)) % 1.61/1.83 (step @p10898 :rule cong :premises (@p10897) :args ((forall @t12 (or @t445 @t6656)))) % 1.61/1.83 (step @p10899 :rule trans :premises (@p10898 @p10892)) % 1.61/1.83 (step @p10900 :rule trans :premises (@p10899 @p10891)) % 1.61/1.83 (step @p10901 :rule bool-impl-elim :args (@t3 @t6656)) % 1.61/1.83 (step @p10902 :rule cong :premises (@p10901) :args ((forall @t12 (=> @t3 @t6656)))) % 1.61/1.83 (step @p10903 :rule trans :premises (@p10902 @p10900)) % 1.61/1.83 (step @p10904 :rule aci_norm :args ((= (or false @t2889 @t2168) @t6655))) % 1.61/1.83 (step @p10905 :rule refl :args (@t2889)) % 1.61/1.83 (step @p10906 :rule nary_cong :premises (@p8141 @p10905 @p7542) :args (@t6657)) % 1.61/1.83 (step @p10907 :rule trans :premises (@p10906 @p10904)) % 1.61/1.83 (step @p10908 :rule cong :premises (@p10907) :args ((forall @t70 @t6657))) % 1.61/1.83 (step @p10909 :rule quant-var-elim-eq :args ((= (forall @t9 @t6658) @t6657))) % 1.61/1.83 (step @p10910 :rule aci_norm :args ((= @t6659 @t6658))) % 1.61/1.83 (step @p10911 :rule cong :premises (@p10910) :args (@t6660)) % 1.61/1.83 (step @p10912 :rule trans :premises (@p10911 @p10909)) % 1.61/1.83 (step @p10913 :rule cong :premises (@p10912) :args (@t6661)) % 1.61/1.83 (step @p10914 :rule quant-merge-prenex :args ((= @t6661 @t6662))) % 1.61/1.83 (step @p10915 :rule symm :premises (@p10914)) % 1.61/1.83 (step @p10916 :rule quant_var_reordering :args ((= (forall @t135 @t6659) @t6662))) % 1.61/1.83 (step @p10917 :rule trans :premises (@p10916 @p10915 @p10913)) % 1.61/1.83 (step @p10918 :rule trans :premises (@p10917 @p10908)) % 1.61/1.83 (step @p10919 :rule nary_cong :premises (@p8166 @p883 @p2088) :args (@t6663)) % 1.61/1.83 (step @p10920 :rule cong :premises (@p10919) :args ((forall @t135 @t6663))) % 1.61/1.83 (step @p10921 :rule trans :premises (@p10920 @p10918)) % 1.61/1.83 (step @p10922 :rule aci_norm :args ((= (or @t282 (or @t197 @t354)) @t6663))) % 1.61/1.83 (step @p10923 :rule bool-impl-elim :args (@t7 @t354)) % 1.61/1.83 (step @p10924 :rule nary_cong :premises (@p8166 @p10923) :args ((or @t282 @t355))) % 1.61/1.83 (step @p10925 :rule trans :premises (@p10924 @p10922)) % 1.61/1.83 (step @p10926 :rule bool-impl-elim :args (@t129 @t355)) % 1.61/1.83 (step @p10927 :rule trans :premises (@p10926 @p10925)) % 1.61/1.83 (step @p10928 :rule cong :premises (@p10927) :args (@t356)) % 1.61/1.83 (step @p10929 :rule trans :premises (@p10928 @p10921)) % 1.61/1.83 (step @p10930 :rule cong :premises (@p10396 @p10929) :args (@t357)) % 1.61/1.83 (step @p10931 :rule cong :premises (@p10930) :args (@t358)) % 1.61/1.83 (step @p10932 :rule trans :premises (@p10931 @p10903)) % 1.61/1.83 (step @p10933 :rule refl :args (tptp.inCongP)) % 1.61/1.83 (step @p10934 :rule cong :premises (@p10933 @p10932) :args (@t359)) % 1.61/1.83 (step @p10935 :rule trans :premises (@p10934 @p10866)) % 1.61/1.83 (step @p10936 :rule eq_resolve :premises (@p64 @p10935)) % 1.61/1.83 (step @p10937 :rule eq_resolve :premises (@p10936 @p10867)) % 1.61/1.83 (step @p10938 :rule cong :premises (@p10937 @p10865) :args (@t6664)) % 1.61/1.83 (step @p10939 :rule refl :args (@t3130)) % 1.61/1.83 (step @p10940 :rule eq-symm :args (@t3133 @t19)) % 1.61/1.83 (step @p10941 :rule refl :args (@t2886)) % 1.61/1.83 (step @p10942 :rule cong :premises (@p10941 @p10940) :args ((= @t2886 @t6665))) % 1.61/1.83 (step @p10943 :rule eq-symm :args (@t6665 @t2886)) % 1.61/1.83 (step @p10944 :rule trans :premises (@p10943 @p10942)) % 1.61/1.83 (step @p10945 :rule cong :premises (@p10944) :args (@t6666)) % 1.61/1.83 (step @p10946 :rule cong :premises (@p10945) :args (@t6667)) % 1.61/1.83 (step @p10947 :rule nary_cong :premises (@p10946 @p10939) :args (@t6668)) % 1.61/1.83 (step @p10948 :rule cong :premises (@p10947) :args (@t6669)) % 1.61/1.83 (step @p10949 :rule quant-merge-prenex :args ((= (forall @t150 @t6671) @t6669))) % 1.61/1.83 (step @p10950 :rule refl :args (@t3130)) % 1.61/1.84 (step @p10951 :rule alpha_equiv :args (@t6672 (@list @t3133) @t3992)) % 1.61/1.84 (step @p10952 :rule nary_cong :premises (@p10951 @p10950) :args (@t6673)) % 1.61/1.84 (step @p10953 :rule quant-miniscope-or :args ((= @t6671 @t6673))) % 1.61/1.84 (step @p10954 :rule trans :premises (@p10953 @p10952)) % 1.61/1.84 (step @p10955 :rule symm :premises (@p10954)) % 1.61/1.84 (step @p10956 :rule cong :premises (@p10955) :args ((forall @t150 (or @t3184 @t3130)))) % 1.61/1.84 (step @p10957 :rule trans :premises (@p10956 @p10949)) % 1.61/1.84 (step @p10958 :rule trans :premises (@p10957 @p10948)) % 1.61/1.84 (step @p10959 :rule bool-double-not-elim :args (@t3184)) % 1.61/1.84 (step @p10960 :rule nary_cong :premises (@p10959 @p10950) :args ((or (not @t3185) @t3130))) % 1.61/1.84 (step @p10961 :rule bool-impl-elim :args (@t3185 @t3130)) % 1.61/1.84 (step @p10962 :rule trans :premises (@p10961 @p10960)) % 1.61/1.84 (step @p10963 :rule cong :premises (@p10962) :args ((forall @t150 (=> @t3185 @t3130)))) % 1.61/1.84 (step @p10964 :rule trans :premises (@p10963 @p10958)) % 1.61/1.84 (step @p10965 :rule exists-elim :args ((= (exists @t9 @t3183) @t3185))) % 1.61/1.84 (step @p10966 :rule eq-symm :args (@t2886 @t129)) % 1.61/1.84 (step @p10967 :rule cong :premises (@p10966) :args ((forall @t70 (= @t2886 @t129)))) % 1.61/1.84 (step @p10968 :rule cong :premises (@p7074 @p7069) :args (@t6674)) % 1.61/1.84 (step @p10969 :rule cong :premises (@p10968) :args ((forall @t70 @t6674))) % 1.61/1.84 (step @p10970 :rule trans :premises (@p10969 @p10967)) % 1.61/1.84 (step @p10971 :rule cong :premises (@p8449 @p8448) :args (@t263)) % 1.61/1.84 (step @p10972 :rule cong :premises (@p10971) :args (@t264)) % 1.61/1.84 (step @p10973 :rule trans :premises (@p10972 @p10970)) % 1.61/1.84 (step @p10974 :rule cong :premises (@p10973) :args (@t265)) % 1.61/1.84 (step @p10975 :rule trans :premises (@p10974 @p10965)) % 1.61/1.84 (step @p10976 :rule cong :premises (@p10975 @p10531) :args (@t6675)) % 1.61/1.84 (step @p10977 :rule cong :premises (@p10976) :args (@t6676)) % 1.61/1.84 (step @p10978 :rule trans :premises (@p10977 @p10964)) % 1.61/1.84 (step @p10979 :rule refl :args (tptp.exuI2)) % 1.61/1.84 (step @p10980 :rule cong :premises (@p10979 @p10978) :args ((= tptp.exuI2 @t6676))) % 1.61/1.84 (step @p10981 :rule refl :args (@t265)) % 1.61/1.84 (step @p10982 :rule cong :premises (@p10981 @p10575) :args (@t351)) % 1.61/1.84 (step @p10983 :rule cong :premises (@p10982) :args (@t352)) % 1.61/1.84 (step @p10984 :rule cong :premises (@p10979 @p10983) :args (@t353)) % 1.61/1.84 (step @p10985 :rule trans :premises (@p10984 @p10980)) % 1.61/1.84 (step @p10986 :rule eq_resolve :premises (@p63 @p10985)) % 1.61/1.84 (step @p10987 :rule cong :premises (@p10986 @p10938) :args (@t6677)) % 1.61/1.84 (step @p10988 :rule quant-merge-prenex :args ((= (forall @t150 @t6679) @t3141))) % 1.61/1.84 (step @p10989 :rule refl :args (@t3137)) % 1.61/1.84 (step @p10990 :rule alpha_equiv :args (@t6680 (@list @t3138) @t3992)) % 1.61/1.84 (step @p10991 :rule nary_cong :premises (@p10990 @p10989 @p10950) :args (@t6681)) % 1.61/1.84 (step @p10992 :rule quant-miniscope-or :args ((= @t6679 @t6681))) % 1.61/1.84 (step @p10993 :rule trans :premises (@p10992 @p10991)) % 1.61/1.84 (step @p10994 :rule symm :premises (@p10993)) % 1.61/1.84 (step @p10995 :rule cong :premises (@p10994) :args ((forall @t150 @t6682))) % 1.61/1.84 (step @p10996 :rule trans :premises (@p10995 @p10988)) % 1.61/1.84 (step @p10997 :rule aci_norm :args ((= (or @t3248 (or @t3137 @t3130)) @t6682))) % 1.61/1.84 (step @p10998 :rule bool-impl-elim :args (@t3136 @t3130)) % 1.61/1.84 (step @p10999 :rule refl :args (@t3248)) % 1.61/1.84 (step @p11000 :rule nary_cong :premises (@p10999 @p10998) :args ((or @t3248 @t6683))) % 1.61/1.84 (step @p11001 :rule trans :premises (@p11000 @p10997)) % 1.61/1.84 (step @p11002 :rule refl :args (@t6683)) % 1.61/1.84 (step @p11003 :rule bool-double-not-elim :args (@t3248)) % 1.61/1.84 (step @p11004 :rule nary_cong :premises (@p11003 @p11002) :args ((or (not @t3249) @t6683))) % 1.61/1.84 (step @p11005 :rule bool-impl-elim :args (@t3249 @t6683)) % 1.61/1.84 (step @p11006 :rule trans :premises (@p11005 @p11004)) % 1.61/1.84 (step @p11007 :rule trans :premises (@p11006 @p11001)) % 1.61/1.84 (step @p11008 :rule cong :premises (@p11007) :args ((forall @t150 (=> @t3249 @t6683)))) % 1.61/1.84 (step @p11009 :rule trans :premises (@p11008 @p10996)) % 1.61/1.84 (step @p11010 :rule cong :premises (@p10615 @p10531) :args (@t6684)) % 1.61/1.84 (step @p11011 :rule cong :premises (@p7060) :args (@t6685)) % 1.61/1.84 (step @p11012 :rule cong :premises (@p11011) :args (@t6686)) % 1.61/1.84 (step @p11013 :rule exists-elim :args ((= @t186 @t6686))) % 1.61/1.84 (step @p11014 :rule trans :premises (@p11013 @p11012)) % 1.61/1.84 (step @p11015 :rule cong :premises (@p11014 @p11010) :args (@t6687)) % 1.61/1.84 (step @p11016 :rule cong :premises (@p11015) :args (@t6688)) % 1.61/1.84 (step @p11017 :rule trans :premises (@p11016 @p11009)) % 1.61/1.84 (step @p11018 :rule refl :args (tptp.exuI3)) % 1.61/1.84 (step @p11019 :rule cong :premises (@p11018 @p11017) :args ((= tptp.exuI3 @t6688))) % 1.61/1.84 (step @p11020 :rule cong :premises (@p10621 @p10575) :args (@t347)) % 1.61/1.84 (step @p11021 :rule refl :args (@t186)) % 1.61/1.84 (step @p11022 :rule cong :premises (@p11021 @p11020) :args (@t348)) % 1.61/1.84 (step @p11023 :rule cong :premises (@p11022) :args (@t349)) % 1.61/1.84 (step @p11024 :rule cong :premises (@p11018 @p11023) :args (@t350)) % 1.61/1.84 (step @p11025 :rule trans :premises (@p11024 @p11019)) % 1.61/1.84 (step @p11026 :rule eq_resolve :premises (@p62 @p11025)) % 1.61/1.84 (step @p11027 :rule cong :premises (@p11026 @p10987) :args (@t6689)) % 1.61/1.84 (step @p11028 :rule bool-eq-true :args (tptp.exuI1)) % 1.61/1.84 (step @p11029 :rule symm :premises (@p11028)) % 1.61/1.84 (step @p11030 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 1.61/1.84 (step @p11031 :rule bool-or-taut :args (false @t3129 false false)) % 1.61/1.84 (step @p11032 :rule nary_cong :premises (@p10479 @p10950) :args ((or @t6495 @t3130))) % 1.61/1.84 (step @p11033 :rule bool-impl-elim :args (@t3130 @t3130)) % 1.61/1.84 (step @p11034 :rule trans :premises (@p11033 @p11032)) % 1.61/1.84 (step @p11035 :rule trans :premises (@p11034 @p11031)) % 1.61/1.84 (step @p11036 :rule cong :premises (@p11035) :args ((forall @t150 (=> @t3130 @t3130)))) % 1.61/1.84 (step @p11037 :rule trans :premises (@p11036 @p11030)) % 1.61/1.84 (step @p11038 :rule cong :premises (@p10569 @p10531) :args (@t6690)) % 1.61/1.84 (step @p11039 :rule cong :premises (@p11038) :args (@t6691)) % 1.61/1.84 (step @p11040 :rule trans :premises (@p11039 @p11037)) % 1.61/1.84 (step @p11041 :rule refl :args (tptp.exuI1)) % 1.61/1.84 (step @p11042 :rule cong :premises (@p11041 @p11040) :args ((= tptp.exuI1 @t6691))) % 1.61/1.84 (step @p11043 :rule trans :premises (@p11042 @p11028)) % 1.61/1.84 (step @p11044 :rule refl :args (@t169)) % 1.61/1.84 (step @p11045 :rule cong :premises (@p11044 @p10575) :args (@t342)) % 1.61/1.84 (step @p11046 :rule cong :premises (@p11045) :args (@t343)) % 1.61/1.84 (step @p11047 :rule cong :premises (@p11041 @p11046) :args (@t344)) % 1.61/1.84 (step @p11048 :rule trans :premises (@p11047 @p11043)) % 1.61/1.84 (step @p11049 :rule eq_resolve :premises (@p61 @p11048)) % 1.61/1.84 (step @p11050 :rule eq_resolve :premises (@p11049 @p11029)) % 1.61/1.84 (step @p11051 :rule cong :premises (@p11050 @p11027) :args (@t6692)) % 1.61/1.84 (step @p11052 :rule bool-eq-true :args (tptp.notdallE)) % 1.61/1.84 (step @p11053 :rule symm :premises (@p11052)) % 1.61/1.84 (step @p11054 :rule bool-eq-true :args (tptp.notdallE)) % 1.61/1.84 (step @p11055 :rule eq-symm :args (true tptp.notdallE)) % 1.61/1.84 (step @p11056 :rule trans :premises (@p11055 @p11054)) % 1.61/1.84 (step @p11057 :rule refl :args (tptp.notdallE)) % 1.61/1.84 (step @p11058 :rule quant-unused-vars :args ((= (forall @t311 true) true))) % 1.61/1.84 (step @p11059 :rule bool-or-taut :args (false @t6693 false false)) % 1.61/1.84 (step @p11060 :rule refl :args (@t6694)) % 1.61/1.84 (step @p11061 :rule bool-double-not-elim :args (@t6693)) % 1.61/1.84 (step @p11062 :rule nary_cong :premises (@p11061 @p11060) :args ((or (not @t6694) @t6694))) % 1.61/1.84 (step @p11063 :rule bool-impl-elim :args (@t6694 @t6694)) % 1.61/1.84 (step @p11064 :rule trans :premises (@p11063 @p11062)) % 1.61/1.84 (step @p11065 :rule trans :premises (@p11064 @p11059)) % 1.61/1.84 (step @p11066 :rule cong :premises (@p11065) :args ((forall @t311 (=> @t6694 @t6694)))) % 1.61/1.84 (step @p11067 :rule trans :premises (@p11066 @p11058)) % 1.61/1.84 (step @p11068 :rule nary_cong :premises (@p883 @p1815) :args (@t6695)) % 1.61/1.84 (step @p11069 :rule cong :premises (@p11068) :args ((forall @t9 @t6695))) % 1.61/1.84 (step @p11070 :rule bool-double-not-elim :args (@t144)) % 1.61/1.84 (step @p11071 :rule nary_cong :premises (@p3166 @p11070) :args ((or @t197 (not @t317)))) % 1.61/1.84 (step @p11072 :rule bool-and-de-morgan :args (@t7 @t317 true)) % 1.61/1.84 (step @p11073 :rule trans :premises (@p11072 @p11071)) % 1.61/1.84 (step @p11074 :rule cong :premises (@p11073) :args (@t6696)) % 1.61/1.84 (step @p11075 :rule trans :premises (@p11074 @p11069)) % 1.61/1.84 (step @p11076 :rule cong :premises (@p11075) :args (@t6697)) % 1.61/1.84 (step @p11077 :rule exists-elim :args ((= @t319 @t6697))) % 1.61/1.84 (step @p11078 :rule trans :premises (@p11077 @p11076)) % 1.61/1.84 (step @p11079 :rule bool-impl-elim :args (@t7 @t144)) % 1.61/1.84 (step @p11080 :rule cong :premises (@p11079) :args (@t320)) % 1.61/1.84 (step @p11081 :rule trans :premises (@p11080 @p11069)) % 1.61/1.84 (step @p11082 :rule cong :premises (@p11081) :args (@t321)) % 1.61/1.84 (step @p11083 :rule cong :premises (@p11082 @p11078) :args (@t322)) % 1.61/1.84 (step @p11084 :rule cong :premises (@p11083) :args (@t323)) % 1.61/1.84 (step @p11085 :rule trans :premises (@p11084 @p11067)) % 1.61/1.84 (step @p11086 :rule cong :premises (@p11085 @p11057) :args ((= @t323 tptp.notdallE))) % 1.61/1.84 (step @p11087 :rule trans :premises (@p11086 @p11056)) % 1.61/1.84 (step @p11088 :rule eq-symm :args (tptp.notdallE @t323)) % 1.61/1.84 (step @p11089 :rule trans :premises (@p11088 @p11087)) % 1.61/1.84 (step @p11090 :rule eq_resolve :premises (@p60 @p11089)) % 1.61/1.84 (step @p11091 :rule eq_resolve :premises (@p11090 @p11053)) % 1.61/1.84 (step @p11092 :rule cong :premises (@p11091 @p11051) :args (@t6698)) % 1.61/1.84 (step @p11093 :rule bool-eq-true :args (tptp.notdexE)) % 1.61/1.84 (step @p11094 :rule symm :premises (@p11093)) % 1.61/1.84 (step @p11095 :rule bool-eq-true :args (tptp.notdexE)) % 1.61/1.84 (step @p11096 :rule eq-symm :args (true tptp.notdexE)) % 1.61/1.84 (step @p11097 :rule trans :premises (@p11096 @p11095)) % 1.61/1.84 (step @p11098 :rule refl :args (tptp.notdexE)) % 1.61/1.84 (step @p11099 :rule bool-or-taut2 :args (false @t2893 false false)) % 1.61/1.84 (step @p11100 :rule bool-impl-elim :args (@t2893 @t2893)) % 1.61/1.84 (step @p11101 :rule trans :premises (@p11100 @p11099)) % 1.61/1.84 (step @p11102 :rule cong :premises (@p11101) :args ((forall @t311 (=> @t2893 @t2893)))) % 1.61/1.84 (step @p11103 :rule trans :premises (@p11102 @p11058)) % 1.61/1.84 (step @p11104 :rule bool-impl-elim :args (@t7 @t317)) % 1.61/1.84 (step @p11105 :rule cong :premises (@p11104) :args (@t326)) % 1.61/1.84 (step @p11106 :rule trans :premises (@p11105 @p8390)) % 1.61/1.84 (step @p11107 :rule bool-double-not-elim :args (@t2893)) % 1.61/1.84 (step @p11108 :rule cong :premises (@p8396) :args (@t325)) % 1.61/1.84 (step @p11109 :rule trans :premises (@p11108 @p11107)) % 1.61/1.84 (step @p11110 :rule cong :premises (@p11109 @p11106) :args (@t330)) % 1.61/1.84 (step @p11111 :rule cong :premises (@p11110) :args (@t331)) % 1.61/1.84 (step @p11112 :rule trans :premises (@p11111 @p11103)) % 1.61/1.84 (step @p11113 :rule cong :premises (@p11112 @p11098) :args ((= @t331 tptp.notdexE))) % 1.61/1.84 (step @p11114 :rule trans :premises (@p11113 @p11097)) % 1.61/1.84 (step @p11115 :rule eq-symm :args (tptp.notdexE @t331)) % 1.61/1.84 (step @p11116 :rule trans :premises (@p11115 @p11114)) % 1.61/1.84 (step @p11117 :rule eq_resolve :premises (@p59 @p11116)) % 1.61/1.84 (step @p11118 :rule eq_resolve :premises (@p11117 @p11094)) % 1.61/1.84 (step @p11119 :rule cong :premises (@p11118 @p11092) :args (@t6699)) % 1.61/1.84 (step @p11120 :rule aci_norm :args ((= (or false @t3144) @t3144))) % 1.61/1.84 (step @p11121 :rule nary_cong :premises (@p5597 @p743) :args (@t6700)) % 1.61/1.84 (step @p11122 :rule trans :premises (@p11121 @p11120)) % 1.61/1.84 (step @p11123 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5349 @t1063 @t6702)) @t6700))) % 1.61/1.84 (step @p11124 :rule refl :args (@t6702)) % 1.61/1.84 (step @p11125 :rule nary_cong :premises (@p5606 @p3776 @p11124) :args (@t6703)) % 1.61/1.84 (step @p11126 :rule aci_norm :args ((= @t6704 @t6703))) % 1.61/1.84 (step @p11127 :rule trans :premises (@p11126 @p11125)) % 1.61/1.84 (step @p11128 :rule cong :premises (@p11127) :args ((forall @t179 @t6704))) % 1.61/1.84 (step @p11129 :rule trans :premises (@p11128 @p11123)) % 1.61/1.84 (step @p11130 :rule trans :premises (@p11129 @p11122)) % 1.61/1.84 (step @p11131 :rule refl :args ((tptp.set2prop @t174))) % 1.61/1.84 (step @p11132 :rule refl :args (@t6701)) % 1.61/1.84 (step @p11133 :rule cong :premises (@p11132) :args (@t6702)) % 1.61/1.84 (step @p11134 :rule trans :premises (@p11133 @p11131)) % 1.61/1.84 (step @p11135 :rule refl :args (tptp.set2prop)) % 1.61/1.84 (step @p11136 :rule ho_cong :premises (@p11135 @p11132)) % 1.61/1.84 (step @p11137 :rule cong :premises (@p11136 @p11134) :args ((= (_ tptp.set2prop @t6701) @t6702))) % 1.61/1.84 (step @p11138 :rule symm :premises (@p11137)) % 1.61/1.84 (step @p11139 :rule refl :args (@t339)) % 1.61/1.84 (step @p11140 :rule eq_resolve :premises (@p11139 @p11138)) % 1.61/1.84 (step @p11141 :rule refl :args (@t174)) % 1.61/1.84 (step @p11142 :rule cong :premises (@p11141 @p11132) :args ((= @t174 @t6701))) % 1.61/1.84 (step @p11143 :rule symm :premises (@p11142)) % 1.61/1.84 (step @p11144 :rule eq_resolve :premises (@p11141 @p11143)) % 1.61/1.84 (step @p11145 :rule ho_cong :premises (@p11135 @p11144)) % 1.61/1.84 (step @p11146 :rule trans :premises (@p11145 @p11140)) % 1.61/1.84 (step @p11147 :rule nary_cong :premises (@p3776 @p11146) :args (@t6705)) % 1.61/1.84 (step @p11148 :rule cong :premises (@p11147) :args ((forall @t179 @t6705))) % 1.61/1.84 (step @p11149 :rule trans :premises (@p11148 @p11130)) % 1.61/1.84 (step @p11150 :rule bool-impl-elim :args (@t173 @t339)) % 1.61/1.84 (step @p11151 :rule cong :premises (@p11150) :args (@t340)) % 1.61/1.84 (step @p11152 :rule trans :premises (@p11151 @p11149)) % 1.61/1.84 (step @p11153 :rule refl :args (tptp.prop2set2propI)) % 1.61/1.84 (step @p11154 :rule cong :premises (@p11153 @p11152) :args (@t341)) % 1.61/1.84 (step @p11155 :rule eq_resolve :premises (@p58 @p11154)) % 1.61/1.84 (step @p11156 :rule cong :premises (@p11155 @p11119) :args (@t6706)) % 1.61/1.84 (step @p11157 :rule aci_norm :args ((= (or false @t3146) @t3146))) % 1.61/1.84 (step @p11158 :rule nary_cong :premises (@p5597 @p745) :args (@t6707)) % 1.61/1.84 (step @p11159 :rule trans :premises (@p11158 @p11157)) % 1.61/1.84 (step @p11160 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5349 @t1063 @t6708)) @t6707))) % 1.61/1.84 (step @p11161 :rule refl :args (@t6708)) % 1.61/1.84 (step @p11162 :rule nary_cong :premises (@p5606 @p3776 @p11161) :args (@t6709)) % 1.61/1.84 (step @p11163 :rule aci_norm :args ((= @t6710 @t6709))) % 1.61/1.84 (step @p11164 :rule trans :premises (@p11163 @p11162)) % 1.61/1.84 (step @p11165 :rule cong :premises (@p11164) :args ((forall @t179 @t6710))) % 1.61/1.84 (step @p11166 :rule trans :premises (@p11165 @p11160)) % 1.61/1.84 (step @p11167 :rule trans :premises (@p11166 @p11159)) % 1.61/1.84 (step @p11168 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 1.61/1.84 (step @p11169 :rule cong :premises (@p359 @p11132) :args (@t6708)) % 1.61/1.84 (step @p11170 :rule trans :premises (@p11169 @p11168)) % 1.61/1.84 (step @p11171 :rule ho_cong :premises (@p362 @p11132)) % 1.61/1.84 (step @p11172 :rule cong :premises (@p11171 @p11170) :args ((= (_ @t49 @t6701) @t6708))) % 1.61/1.84 (step @p11173 :rule symm :premises (@p11172)) % 1.61/1.84 (step @p11174 :rule refl :args (@t336)) % 1.61/1.84 (step @p11175 :rule eq_resolve :premises (@p11174 @p11173)) % 1.61/1.84 (step @p11176 :rule ho_cong :premises (@p362 @p11144)) % 1.61/1.84 (step @p11177 :rule trans :premises (@p11176 @p11175)) % 1.61/1.84 (step @p11178 :rule nary_cong :premises (@p3776 @p11177) :args (@t6711)) % 1.61/1.84 (step @p11179 :rule cong :premises (@p11178) :args ((forall @t179 @t6711))) % 1.61/1.84 (step @p11180 :rule trans :premises (@p11179 @p11167)) % 1.61/1.84 (step @p11181 :rule bool-impl-elim :args (@t173 @t336)) % 1.61/1.84 (step @p11182 :rule cong :premises (@p11181) :args (@t337)) % 1.61/1.84 (step @p11183 :rule trans :premises (@p11182 @p11180)) % 1.61/1.84 (step @p11184 :rule refl :args (tptp.prop2setI)) % 1.61/1.84 (step @p11185 :rule cong :premises (@p11184 @p11183) :args (@t338)) % 1.61/1.84 (step @p11186 :rule eq_resolve :premises (@p57 @p11185)) % 1.61/1.84 (step @p11187 :rule cong :premises (@p11186 @p11156) :args (@t6712)) % 1.61/1.84 (step @p11188 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 1.61/1.84 (step @p11189 :rule symm :premises (@p11188)) % 1.61/1.84 (step @p11190 :rule cong :premises (@p11078 @p11082) :args (@t333)) % 1.61/1.84 (step @p11191 :rule cong :premises (@p11190) :args (@t334)) % 1.61/1.84 (step @p11192 :rule trans :premises (@p11191 @p11067)) % 1.61/1.84 (step @p11193 :rule refl :args (tptp.quantDeMorgan4)) % 1.61/1.84 (step @p11194 :rule cong :premises (@p11193 @p11192) :args (@t335)) % 1.61/1.84 (step @p11195 :rule trans :premises (@p11194 @p11188)) % 1.61/1.84 (step @p11196 :rule eq_resolve :premises (@p56 @p11195)) % 1.61/1.84 (step @p11197 :rule eq_resolve :premises (@p11196 @p11189)) % 1.61/1.84 (step @p11198 :rule cong :premises (@p11197 @p11187) :args (@t6713)) % 1.61/1.84 (step @p11199 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 1.61/1.84 (step @p11200 :rule symm :premises (@p11199)) % 1.61/1.84 (step @p11201 :rule refl :args (tptp.quantDeMorgan3)) % 1.61/1.84 (step @p11202 :rule cong :premises (@p11201 @p11112) :args (@t332)) % 1.61/1.84 (step @p11203 :rule trans :premises (@p11202 @p11199)) % 1.61/1.84 (step @p11204 :rule eq_resolve :premises (@p55 @p11203)) % 1.61/1.84 (step @p11205 :rule eq_resolve :premises (@p11204 @p11200)) % 1.61/1.84 (step @p11206 :rule cong :premises (@p11205 @p11198) :args (@t6714)) % 1.61/1.84 (step @p11207 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 1.61/1.84 (step @p11208 :rule symm :premises (@p11207)) % 1.61/1.84 (step @p11209 :rule cong :premises (@p11106 @p11109) :args (@t327)) % 1.61/1.84 (step @p11210 :rule cong :premises (@p11209) :args (@t328)) % 1.61/1.84 (step @p11211 :rule trans :premises (@p11210 @p11103)) % 1.61/1.84 (step @p11212 :rule refl :args (tptp.quantDeMorgan2)) % 1.61/1.84 (step @p11213 :rule cong :premises (@p11212 @p11211) :args (@t329)) % 1.61/1.84 (step @p11214 :rule trans :premises (@p11213 @p11207)) % 1.61/1.84 (step @p11215 :rule eq_resolve :premises (@p54 @p11214)) % 1.61/1.84 (step @p11216 :rule eq_resolve :premises (@p11215 @p11208)) % 1.61/1.84 (step @p11217 :rule cong :premises (@p11216 @p11206) :args (@t6715)) % 1.61/1.84 (step @p11218 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 1.61/1.84 (step @p11219 :rule symm :premises (@p11218)) % 1.61/1.84 (step @p11220 :rule refl :args (tptp.quantDeMorgan1)) % 1.61/1.84 (step @p11221 :rule cong :premises (@p11220 @p11085) :args (@t324)) % 1.61/1.84 (step @p11222 :rule trans :premises (@p11221 @p11218)) % 1.61/1.84 (step @p11223 :rule eq_resolve :premises (@p53 @p11222)) % 1.61/1.84 (step @p11224 :rule eq_resolve :premises (@p11223 @p11219)) % 1.61/1.84 (step @p11225 :rule cong :premises (@p11224 @p11217) :args (@t6716)) % 1.61/1.84 (step @p11226 :rule refl :args (@t3148)) % 1.61/1.84 (step @p11227 :rule refl :args (@t15)) % 1.61/1.84 (step @p11228 :rule cong :premises (@p11227 @p11226) :args ((= @t15 @t3148))) % 1.61/1.84 (step @p11229 :rule symm :premises (@p11228)) % 1.61/1.84 (step @p11230 :rule eq_resolve :premises (@p11227 @p11229)) % 1.61/1.84 (step @p11231 :rule cong :premises (@p11230) :args (@t16)) % 1.61/1.84 (step @p11232 :rule nary_cong :premises (@p11231 @p1815) :args (@t6717)) % 1.61/1.84 (step @p11233 :rule cong :premises (@p11232) :args ((forall @t314 @t6717))) % 1.61/1.84 (step @p11234 :rule bool-impl-elim :args (@t15 @t144)) % 1.61/1.84 (step @p11235 :rule cong :premises (@p11234) :args (@t315)) % 1.61/1.84 (step @p11236 :rule trans :premises (@p11235 @p11233)) % 1.61/1.84 (step @p11237 :rule refl :args (tptp.vacuousDall)) % 1.61/1.84 (step @p11238 :rule cong :premises (@p11237 @p11236) :args (@t316)) % 1.61/1.84 (step @p11239 :rule eq_resolve :premises (@p52 @p11238)) % 1.61/1.84 (step @p11240 :rule cong :premises (@p11239 @p11225) :args (@t6718)) % 1.61/1.84 (step @p11241 :rule aci_norm :args ((= @t6720 @t3156))) % 1.61/1.84 (step @p11242 :rule cong :premises (@p11241) :args (@t6721)) % 1.61/1.84 (step @p11243 :rule quant-merge-prenex :args ((= (forall @t311 @t6723) @t6721))) % 1.61/1.84 (step @p11244 :rule refl :args (@t3155)) % 1.61/1.84 (step @p11245 :rule alpha_equiv :args (@t6724 (@list @t3152) @t3992)) % 1.61/1.84 (step @p11246 :rule nary_cong :premises (@p11245 @p11244) :args (@t6725)) % 1.61/1.84 (step @p11247 :rule quant-miniscope-or :args ((= @t6723 @t6725))) % 1.61/1.84 (step @p11248 :rule trans :premises (@p11247 @p11246)) % 1.61/1.84 (step @p11249 :rule symm :premises (@p11248)) % 1.61/1.84 (step @p11250 :rule cong :premises (@p11249) :args ((forall @t311 (or @t2893 @t3155)))) % 1.61/1.84 (step @p11251 :rule trans :premises (@p11250 @p11243)) % 1.61/1.84 (step @p11252 :rule trans :premises (@p11251 @p11242)) % 1.61/1.84 (step @p11253 :rule cong :premises (@p312 @p8493) :args (@t6726)) % 1.61/1.84 (step @p11254 :rule cong :premises (@p11253) :args (@t6727)) % 1.61/1.84 (step @p11255 :rule nary_cong :premises (@p8369 @p11254) :args (@t6728)) % 1.61/1.84 (step @p11256 :rule cong :premises (@p11255) :args ((forall @t311 @t6728))) % 1.61/1.84 (step @p11257 :rule trans :premises (@p11256 @p11252)) % 1.61/1.84 (step @p11258 :rule cong :premises (@p359 @p8516) :args (@t6729)) % 1.61/1.84 (step @p11259 :rule cong :premises (@p11258) :args (@t6730)) % 1.61/1.84 (step @p11260 :rule nary_cong :premises (@p8374 @p11259) :args (@t6731)) % 1.61/1.84 (step @p11261 :rule cong :premises (@p11260) :args ((forall @t311 @t6731))) % 1.61/1.84 (step @p11262 :rule trans :premises (@p11261 @p11257)) % 1.61/1.84 (step @p11263 :rule refl :args (@t6730)) % 1.61/1.84 (step @p11264 :rule nary_cong :premises (@p8379 @p11263) :args ((or @t6108 @t6730))) % 1.61/1.84 (step @p11265 :rule bool-impl-elim :args (@t2894 @t6730)) % 1.61/1.84 (step @p11266 :rule trans :premises (@p11265 @p11264)) % 1.61/1.84 (step @p11267 :rule cong :premises (@p11266) :args ((forall @t311 (=> @t2894 @t6730)))) % 1.61/1.84 (step @p11268 :rule trans :premises (@p11267 @p11262)) % 1.61/1.84 (step @p11269 :rule eq-symm :args (@t306 tptp.emptyset)) % 1.61/1.84 (step @p11270 :rule cong :premises (@p11269) :args ((not @t307))) % 1.61/1.84 (step @p11271 :rule bool-impl-false1 :args (@t307)) % 1.61/1.84 (step @p11272 :rule trans :premises (@p11271 @p11270)) % 1.61/1.84 (step @p11273 :rule cong :premises (@p8396 @p11272) :args (@t310)) % 1.61/1.84 (step @p11274 :rule cong :premises (@p11273) :args (@t312)) % 1.61/1.84 (step @p11275 :rule trans :premises (@p11274 @p11268)) % 1.61/1.84 (step @p11276 :rule refl :args (tptp.emptyE1)) % 1.61/1.84 (step @p11277 :rule cong :premises (@p11276 @p11275) :args (@t313)) % 1.61/1.84 (step @p11278 :rule eq_resolve :premises (@p51 @p11277)) % 1.61/1.84 (step @p11279 :rule cong :premises (@p11278 @p11240) :args (@t6732)) % 1.61/1.84 (step @p11280 :rule refl :args (tptp.upairsetIR)) % 1.61/1.84 (step @p11281 :rule cong :premises (@p11280 @p9149) :args (@t305)) % 1.61/1.84 (step @p11282 :rule eq_resolve :premises (@p50 @p11281)) % 1.61/1.84 (step @p11283 :rule cong :premises (@p11282 @p11279) :args (@t6733)) % 1.61/1.84 (step @p11284 :rule refl :args ((tptp.in @t4 @t293))) % 1.61/1.84 (step @p11285 :rule cong :premises (@p3047 @p5482) :args (@t3161)) % 1.61/1.84 (step @p11286 :rule trans :premises (@p11285 @p11284)) % 1.61/1.84 (step @p11287 :rule ho_cong :premises (@p3050 @p5482)) % 1.61/1.84 (step @p11288 :rule cong :premises (@p11287 @p11286) :args ((= (_ @t5 @t2838) @t3161))) % 1.61/1.84 (step @p11289 :rule symm :premises (@p11288)) % 1.61/1.84 (step @p11290 :rule refl :args (@t300)) % 1.61/1.84 (step @p11291 :rule eq_resolve :premises (@p11290 @p11289)) % 1.61/1.84 (step @p11292 :rule ho_cong :premises (@p3050 @p5503)) % 1.61/1.84 (step @p11293 :rule trans :premises (@p11292 @p11291)) % 1.61/1.84 (step @p11294 :rule cong :premises (@p11293) :args (@t301)) % 1.61/1.84 (step @p11295 :rule refl :args (tptp.upairsetIL)) % 1.61/1.84 (step @p11296 :rule cong :premises (@p11295 @p11294) :args (@t302)) % 1.61/1.84 (step @p11297 :rule eq_resolve :premises (@p49 @p11296)) % 1.61/1.84 (step @p11298 :rule cong :premises (@p11297 @p11283) :args (@t6734)) % 1.61/1.84 (step @p11299 :rule refl :args (tptp.upairsetE)) % 1.61/1.84 (step @p11300 :rule cong :premises (@p11299 @p9000) :args (@t299)) % 1.61/1.84 (step @p11301 :rule eq_resolve :premises (@p48 @p11300)) % 1.61/1.84 (step @p11302 :rule cong :premises (@p11301 @p11298) :args (@t6735)) % 1.61/1.84 (step @p11303 :rule refl :args ((tptp.in @t19 @t279))) % 1.61/1.84 (step @p11304 :rule cong :premises (@p5560 @p5889) :args (@t3165)) % 1.61/1.84 (step @p11305 :rule trans :premises (@p11304 @p11303)) % 1.61/1.84 (step @p11306 :rule ho_cong :premises (@p6180 @p5889)) % 1.61/1.84 (step @p11307 :rule cong :premises (@p11306 @p11305) :args ((= (_ @t20 @t2585) @t3165))) % 1.61/1.84 (step @p11308 :rule symm :premises (@p11307)) % 1.61/1.84 (step @p11309 :rule refl :args (@t280)) % 1.61/1.84 (step @p11310 :rule eq_resolve :premises (@p11309 @p11308)) % 1.61/1.84 (step @p11311 :rule ho_cong :premises (@p6180 @p5893)) % 1.61/1.84 (step @p11312 :rule trans :premises (@p11311 @p11310)) % 1.61/1.84 (step @p11313 :rule refl :args ((tptp.in @t4 @t275))) % 1.61/1.84 (step @p11314 :rule cong :premises (@p3047 @p5480) :args (@t3166)) % 1.61/1.84 (step @p11315 :rule trans :premises (@p11314 @p11313)) % 1.61/1.84 (step @p11316 :rule ho_cong :premises (@p3050 @p5480)) % 1.61/1.84 (step @p11317 :rule cong :premises (@p11316 @p11315) :args ((= (_ @t5 @t2837) @t3166))) % 1.61/1.84 (step @p11318 :rule symm :premises (@p11317)) % 1.61/1.84 (step @p11319 :rule refl :args (@t276)) % 1.61/1.84 (step @p11320 :rule eq_resolve :premises (@p11319 @p11318)) % 1.61/1.84 (step @p11321 :rule ho_cong :premises (@p3050 @p5501)) % 1.61/1.84 (step @p11322 :rule trans :premises (@p11321 @p11320)) % 1.61/1.84 (step @p11323 :rule cong :premises (@p11322) :args (@t6736)) % 1.61/1.84 (step @p11324 :rule nary_cong :premises (@p11323 @p11312) :args (@t6737)) % 1.61/1.84 (step @p11325 :rule cong :premises (@p11324) :args ((forall @t135 @t6737))) % 1.61/1.84 (step @p11326 :rule bool-impl-elim :args (@t276 @t280)) % 1.61/1.84 (step @p11327 :rule cong :premises (@p11326) :args (@t287)) % 1.61/1.84 (step @p11328 :rule trans :premises (@p11327 @p11325)) % 1.61/1.84 (step @p11329 :rule refl :args (tptp.singletonsswitch)) % 1.61/1.84 (step @p11330 :rule cong :premises (@p11329 @p11328) :args (@t288)) % 1.61/1.84 (step @p11331 :rule eq_resolve :premises (@p47 @p11330)) % 1.61/1.84 (step @p11332 :rule cong :premises (@p11331 @p11302) :args (@t6738)) % 1.61/1.84 (step @p11333 :rule aci_norm :args ((= (or false @t3170) @t3170))) % 1.61/1.84 (step @p11334 :rule refl :args (@t3170)) % 1.61/1.84 (step @p11335 :rule nary_cong :premises (@p8141 @p11334) :args (@t6739)) % 1.61/1.84 (step @p11336 :rule trans :premises (@p11335 @p11333)) % 1.61/1.84 (step @p11337 :rule cong :premises (@p11336) :args ((forall @t70 @t6739))) % 1.61/1.84 (step @p11338 :rule quant-var-elim-eq :args ((= (forall @t9 @t6740) @t6739))) % 1.61/1.84 (step @p11339 :rule aci_norm :args ((= @t6741 @t6740))) % 1.61/1.84 (step @p11340 :rule cong :premises (@p11339) :args (@t6742)) % 1.61/1.84 (step @p11341 :rule trans :premises (@p11340 @p11338)) % 1.61/1.84 (step @p11342 :rule cong :premises (@p11341) :args (@t6743)) % 1.61/1.84 (step @p11343 :rule quant-merge-prenex :args ((= @t6743 @t6744))) % 1.61/1.84 (step @p11344 :rule symm :premises (@p11343)) % 1.61/1.84 (step @p11345 :rule quant_var_reordering :args ((= (forall @t135 @t6741) @t6744))) % 1.61/1.84 (step @p11346 :rule trans :premises (@p11345 @p11344 @p11342)) % 1.61/1.84 (step @p11347 :rule trans :premises (@p11346 @p11337)) % 1.61/1.84 (step @p11348 :rule nary_cong :premises (@p8166 @p11322) :args (@t6745)) % 1.61/1.84 (step @p11349 :rule cong :premises (@p11348) :args ((forall @t135 @t6745))) % 1.61/1.84 (step @p11350 :rule trans :premises (@p11349 @p11347)) % 1.61/1.84 (step @p11351 :rule bool-impl-elim :args (@t129 @t276)) % 1.61/1.84 (step @p11352 :rule cong :premises (@p11351) :args (@t285)) % 1.61/1.84 (step @p11353 :rule trans :premises (@p11352 @p11350)) % 1.61/1.84 (step @p11354 :rule refl :args (tptp.eqinunit)) % 1.61/1.84 (step @p11355 :rule cong :premises (@p11354 @p11353) :args (@t286)) % 1.61/1.84 (step @p11356 :rule eq_resolve :premises (@p46 @p11355)) % 1.61/1.84 (step @p11357 :rule cong :premises (@p11356 @p11332) :args (@t6746)) % 1.61/1.84 (step @p11358 :rule cong :premises (@p11312) :args (@t281)) % 1.61/1.84 (step @p11359 :rule nary_cong :premises (@p7069 @p11358) :args (@t6747)) % 1.61/1.84 (step @p11360 :rule cong :premises (@p11359) :args ((forall @t135 @t6747))) % 1.61/1.84 (step @p11361 :rule refl :args (@t281)) % 1.61/1.84 (step @p11362 :rule bool-double-not-elim :args (@t129)) % 1.61/1.84 (step @p11363 :rule nary_cong :premises (@p11362 @p11361) :args ((or (not @t282) @t281))) % 1.61/1.84 (step @p11364 :rule bool-impl-elim :args (@t282 @t281)) % 1.61/1.84 (step @p11365 :rule trans :premises (@p11364 @p11363)) % 1.61/1.84 (step @p11366 :rule cong :premises (@p11365) :args (@t283)) % 1.61/1.84 (step @p11367 :rule trans :premises (@p11366 @p11360)) % 1.61/1.84 (step @p11368 :rule refl :args (tptp.notinsingleton)) % 1.61/1.84 (step @p11369 :rule cong :premises (@p11368 @p11367) :args (@t284)) % 1.61/1.84 (step @p11370 :rule eq_resolve :premises (@p45 @p11369)) % 1.61/1.84 (step @p11371 :rule cong :premises (@p11370 @p11357) :args (@t6748)) % 1.61/1.84 (step @p11372 :rule nary_cong :premises (@p11323 @p7069) :args (@t6749)) % 1.61/1.84 (step @p11373 :rule cong :premises (@p11372) :args ((forall @t135 @t6749))) % 1.61/1.84 (step @p11374 :rule bool-impl-elim :args (@t276 @t129)) % 1.61/1.84 (step @p11375 :rule cong :premises (@p11374) :args (@t277)) % 1.61/1.84 (step @p11376 :rule trans :premises (@p11375 @p11373)) % 1.61/1.84 (step @p11377 :rule refl :args (tptp.uniqinunit)) % 1.61/1.84 (step @p11378 :rule cong :premises (@p11377 @p11376) :args (@t278)) % 1.61/1.84 (step @p11379 :rule eq_resolve :premises (@p44 @p11378)) % 1.61/1.84 (step @p11380 :rule cong :premises (@p11379 @p11371) :args (@t6750)) % 1.61/1.84 (step @p11381 :rule refl :args (@t3178)) % 1.61/1.84 (step @p11382 :rule bool-double-not-elim :args (@t196)) % 1.61/1.84 (step @p11383 :rule nary_cong :premises (@p11382 @p11381) :args ((or (not @t6751) @t3178))) % 1.61/1.84 (step @p11384 :rule bool-impl-elim :args (@t6751 @t3178)) % 1.61/1.84 (step @p11385 :rule trans :premises (@p11384 @p11383)) % 1.61/1.84 (step @p11386 :rule cong :premises (@p11385) :args ((forall @t64 (=> @t6751 @t3178)))) % 1.61/1.84 (step @p11387 :rule cong :premises (@p883) :args (@t198)) % 1.61/1.84 (step @p11388 :rule cong :premises (@p11387) :args (@t6752)) % 1.61/1.84 (step @p11389 :rule exists-elim :args ((= @t89 @t6752))) % 1.61/1.84 (step @p11390 :rule trans :premises (@p11389 @p11388)) % 1.61/1.84 (step @p11391 :rule aci_norm :args ((= @t269 @t7))) % 1.61/1.84 (step @p11392 :rule cong :premises (@p11391) :args (@t270)) % 1.61/1.84 (step @p11393 :rule trans :premises (@p11392 @p11390)) % 1.61/1.84 (step @p11394 :rule beta-reduce :args ((= @t6753 @t6751))) % 1.61/1.84 (step @p11395 :rule cong :premises (@p11394 @p11393) :args (@t6754)) % 1.61/1.84 (step @p11396 :rule cong :premises (@p11395) :args (@t6755)) % 1.61/1.84 (step @p11397 :rule trans :premises (@p11396 @p11386)) % 1.61/1.84 (step @p11398 :rule refl :args (tptp.nonemptyImpWitness)) % 1.61/1.84 (step @p11399 :rule cong :premises (@p11398 @p11397) :args ((= tptp.nonemptyImpWitness @t6755))) % 1.61/1.84 (step @p11400 :rule refl :args (@t270)) % 1.61/1.84 (step @p11401 :rule ho_cong :premises (@p305 @p1882)) % 1.61/1.84 (step @p11402 :rule cong :premises (@p11401 @p11400) :args (@t271)) % 1.61/1.84 (step @p11403 :rule cong :premises (@p11402) :args (@t272)) % 1.61/1.84 (step @p11404 :rule cong :premises (@p11398 @p11403) :args (@t273)) % 1.61/1.84 (step @p11405 :rule trans :premises (@p11404 @p11399)) % 1.61/1.84 (step @p11406 :rule eq_resolve :premises (@p43 @p11405)) % 1.61/1.84 (step @p11407 :rule cong :premises (@p11406 @p11380) :args (@t6756)) % 1.61/1.84 (step @p11408 :rule eq-symm :args (@t3181 @t19)) % 1.61/1.84 (step @p11409 :rule nary_cong :premises (@p10411 @p11408) :args (@t6757)) % 1.61/1.84 (step @p11410 :rule cong :premises (@p11409) :args (@t6758)) % 1.61/1.84 (step @p11411 :rule cong :premises (@p11410) :args (@t6759)) % 1.61/1.84 (step @p11412 :rule refl :args (@t3182)) % 1.61/1.84 (step @p11413 :rule refl :args (@t3185)) % 1.61/1.84 (step @p11414 :rule nary_cong :premises (@p11413 @p11412 @p11411) :args (@t6760)) % 1.61/1.84 (step @p11415 :rule aci_norm :args ((= @t6762 @t6760))) % 1.61/1.84 (step @p11416 :rule trans :premises (@p11415 @p11414)) % 1.61/1.84 (step @p11417 :rule cong :premises (@p11416) :args (@t6763)) % 1.61/1.84 (step @p11418 :rule quant-merge-prenex :args ((= (forall @t150 @t6765) @t6763))) % 1.61/1.84 (step @p11419 :rule refl :args (@t3185)) % 1.61/1.84 (step @p11420 :rule alpha_equiv :args (@t6766 (@list @t3181) @t3992)) % 1.61/1.84 (step @p11421 :rule nary_cong :premises (@p11420 @p11419) :args (@t6767)) % 1.61/1.84 (step @p11422 :rule quant-miniscope-or :args ((= @t6765 @t6767))) % 1.61/1.84 (step @p11423 :rule trans :premises (@p11422 @p11421)) % 1.61/1.84 (step @p11424 :rule symm :premises (@p11423)) % 1.61/1.84 (step @p11425 :rule cong :premises (@p11424) :args ((forall @t150 (or @t3129 @t3185)))) % 1.61/1.84 (step @p11426 :rule trans :premises (@p11425 @p11418)) % 1.61/1.84 (step @p11427 :rule trans :premises (@p11426 @p11417)) % 1.61/1.84 (step @p11428 :rule nary_cong :premises (@p10479 @p11419) :args ((or @t6495 @t3185))) % 1.61/1.84 (step @p11429 :rule bool-impl-elim :args (@t3130 @t3185)) % 1.61/1.84 (step @p11430 :rule trans :premises (@p11429 @p11428)) % 1.61/1.84 (step @p11431 :rule cong :premises (@p11430) :args ((forall @t150 (=> @t3130 @t3185)))) % 1.61/1.84 (step @p11432 :rule trans :premises (@p11431 @p11427)) % 1.61/1.84 (step @p11433 :rule cong :premises (@p10531 @p10975) :args (@t6768)) % 1.61/1.84 (step @p11434 :rule cong :premises (@p11433) :args (@t6769)) % 1.61/1.84 (step @p11435 :rule trans :premises (@p11434 @p11432)) % 1.61/1.84 (step @p11436 :rule refl :args (tptp.exuE2)) % 1.61/1.84 (step @p11437 :rule cong :premises (@p11436 @p11435) :args ((= tptp.exuE2 @t6769))) % 1.61/1.84 (step @p11438 :rule cong :premises (@p10575 @p10981) :args (@t266)) % 1.61/1.84 (step @p11439 :rule cong :premises (@p11438) :args (@t267)) % 1.61/1.84 (step @p11440 :rule cong :premises (@p11436 @p11439) :args (@t268)) % 1.61/1.84 (step @p11441 :rule trans :premises (@p11440 @p11437)) % 1.61/1.84 (step @p11442 :rule eq_resolve :premises (@p42 @p11441)) % 1.61/1.84 (step @p11443 :rule cong :premises (@p11442 @p11407) :args (@t6770)) % 1.61/1.84 (step @p11444 :rule refl :args ((tptp.in @t4 @t259))) % 1.61/1.84 (step @p11445 :rule refl :args ((tptp.powerset @t43))) % 1.61/1.84 (step @p11446 :rule cong :premises (@p8610) :args (@t3189)) % 1.61/1.84 (step @p11447 :rule trans :premises (@p11446 @p11445)) % 1.61/1.84 (step @p11448 :rule cong :premises (@p3047 @p11447) :args (@t3190)) % 1.61/1.84 (step @p11449 :rule trans :premises (@p11448 @p11444)) % 1.61/1.84 (step @p11450 :rule ho_cong :premises (@p3050 @p11447)) % 1.61/1.84 (step @p11451 :rule cong :premises (@p11450 @p11449) :args ((= (_ @t5 @t3189) @t3190))) % 1.61/1.84 (step @p11452 :rule symm :premises (@p11451)) % 1.61/1.84 (step @p11453 :rule refl :args (@t260)) % 1.61/1.84 (step @p11454 :rule eq_resolve :premises (@p11453 @p11452)) % 1.61/1.84 (step @p11455 :rule ho_cong :premises (@p2193 @p8610)) % 1.61/1.84 (step @p11456 :rule cong :premises (@p11455 @p11447) :args ((= (_ tptp.powerset @t2914) @t3189))) % 1.61/1.84 (step @p11457 :rule symm :premises (@p11456)) % 1.61/1.84 (step @p11458 :rule refl :args (@t259)) % 1.61/1.84 (step @p11459 :rule eq_resolve :premises (@p11458 @p11457)) % 1.61/1.84 (step @p11460 :rule ho_cong :premises (@p2193 @p8621)) % 1.61/1.84 (step @p11461 :rule trans :premises (@p11460 @p11459)) % 1.61/1.84 (step @p11462 :rule ho_cong :premises (@p3050 @p11461)) % 1.61/1.84 (step @p11463 :rule trans :premises (@p11462 @p11454)) % 1.61/1.84 (step @p11464 :rule nary_cong :premises (@p883 @p11463) :args (@t6771)) % 1.61/1.84 (step @p11465 :rule cong :premises (@p11464) :args ((forall @t46 @t6771))) % 1.61/1.84 (step @p11466 :rule bool-impl-elim :args (@t7 @t260)) % 1.61/1.84 (step @p11467 :rule cong :premises (@p11466) :args (@t261)) % 1.61/1.84 (step @p11468 :rule trans :premises (@p11467 @p11465)) % 1.61/1.84 (step @p11469 :rule refl :args (tptp.subPowSU)) % 1.61/1.84 (step @p11470 :rule cong :premises (@p11469 @p11468) :args (@t262)) % 1.61/1.84 (step @p11471 :rule eq_resolve :premises (@p41 @p11470)) % 1.61/1.84 (step @p11472 :rule cong :premises (@p11471 @p11443) :args (@t6772)) % 1.61/1.84 (step @p11473 :rule refl :args (@t3196)) % 1.61/1.84 (step @p11474 :rule nary_cong :premises (@p8624 @p11473) :args (@t6773)) % 1.61/1.84 (step @p11475 :rule cong :premises (@p11474) :args ((forall @t46 @t6773))) % 1.61/1.84 (step @p11476 :rule bool-impl-elim :args (@t44 @t3196)) % 1.61/1.84 (step @p11477 :rule cong :premises (@p11476) :args ((forall @t46 (=> @t44 @t3196)))) % 1.61/1.84 (step @p11478 :rule trans :premises (@p11477 @p11475)) % 1.61/1.84 (step @p11479 :rule aci_norm :args ((= (and true @t3196) @t3196))) % 1.61/1.84 (step @p11480 :rule refl :args (@t3196)) % 1.61/1.84 (step @p11481 :rule nary_cong :premises (@p1172 @p11480) :args (@t6774)) % 1.61/1.84 (step @p11482 :rule trans :premises (@p11481 @p11479)) % 1.61/1.84 (step @p11483 :rule aci_norm :args ((= @t6775 @t6774))) % 1.61/1.84 (step @p11484 :rule trans :premises (@p11483 @p11482)) % 1.61/1.84 (step @p11485 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t6776 @t173)) @t6775))) % 1.61/1.84 (step @p11486 :rule refl :args (@t6776)) % 1.61/1.84 (step @p11487 :rule nary_cong :premises (@p1185 @p11486 @p1178) :args (@t6777)) % 1.61/1.84 (step @p11488 :rule aci_norm :args ((= @t6778 @t6777))) % 1.61/1.84 (step @p11489 :rule trans :premises (@p11488 @p11487)) % 1.61/1.84 (step @p11490 :rule cong :premises (@p11489) :args ((forall @t179 @t6778))) % 1.61/1.84 (step @p11491 :rule trans :premises (@p11490 @p11485)) % 1.61/1.84 (step @p11492 :rule trans :premises (@p11491 @p11484)) % 1.61/1.84 (step @p11493 :rule bool-or-de-morgan :args (@t173 @t3195 false)) % 1.61/1.84 (step @p11494 :rule nary_cong :premises (@p11493 @p1178) :args ((or (not @t6779) @t173))) % 1.61/1.84 (step @p11495 :rule bool-impl-elim :args (@t6779 @t173)) % 1.61/1.84 (step @p11496 :rule trans :premises (@p11495 @p11494)) % 1.61/1.84 (step @p11497 :rule cong :premises (@p11496) :args ((forall @t179 (=> @t6779 @t173)))) % 1.61/1.84 (step @p11498 :rule trans :premises (@p11497 @p11492)) % 1.61/1.84 (step @p11499 :rule refl :args (@t3193)) % 1.61/1.84 (step @p11500 :rule refl :args (@t39)) % 1.61/1.84 (step @p11501 :rule cong :premises (@p11500 @p11499) :args ((= @t39 @t3193))) % 1.61/1.84 (step @p11502 :rule symm :premises (@p11501)) % 1.61/1.84 (step @p11503 :rule eq_resolve :premises (@p11500 @p11502)) % 1.61/1.84 (step @p11504 :rule cong :premises (@p11503) :args (@t6780)) % 1.61/1.84 (step @p11505 :rule nary_cong :premises (@p9199 @p11504) :args (@t6781)) % 1.61/1.84 (step @p11506 :rule cong :premises (@p11505) :args (@t6782)) % 1.61/1.84 (step @p11507 :rule nary_cong :premises (@p1198 @p11506) :args (@t6783)) % 1.61/1.84 (step @p11508 :rule quant-miniscope-or :args ((= (forall @t41 @t6784) @t6783))) % 1.61/1.84 (step @p11509 :rule aci_norm :args ((= @t6785 @t6784))) % 1.61/1.84 (step @p11510 :rule cong :premises (@p11509) :args ((forall @t41 @t6785))) % 1.61/1.84 (step @p11511 :rule trans :premises (@p11510 @p11508)) % 1.61/1.84 (step @p11512 :rule trans :premises (@p11511 @p11507)) % 1.61/1.84 (step @p11513 :rule aci_norm :args ((= (or @t437 (or @t6780 @t173)) @t6785))) % 1.61/1.84 (step @p11514 :rule bool-impl-elim :args (@t39 @t173)) % 1.61/1.84 (step @p11515 :rule refl :args (@t437)) % 1.61/1.84 (step @p11516 :rule nary_cong :premises (@p11515 @p11514) :args ((or @t437 @t252))) % 1.61/1.84 (step @p11517 :rule trans :premises (@p11516 @p11513)) % 1.61/1.84 (step @p11518 :rule bool-impl-elim :args (@t6 @t252)) % 1.61/1.84 (step @p11519 :rule trans :premises (@p11518 @p11517)) % 1.61/1.84 (step @p11520 :rule cong :premises (@p11519) :args (@t253)) % 1.61/1.84 (step @p11521 :rule trans :premises (@p11520 @p11512)) % 1.61/1.84 (step @p11522 :rule cong :premises (@p11521 @p1198) :args (@t254)) % 1.61/1.84 (step @p11523 :rule cong :premises (@p11522) :args (@t255)) % 1.61/1.84 (step @p11524 :rule trans :premises (@p11523 @p11498)) % 1.61/1.84 (step @p11525 :rule cong :premises (@p8644 @p11524) :args (@t256)) % 1.61/1.84 (step @p11526 :rule cong :premises (@p11525) :args (@t257)) % 1.61/1.84 (step @p11527 :rule trans :premises (@p11526 @p11478)) % 1.61/1.84 (step @p11528 :rule refl :args (tptp.setunionE)) % 1.61/1.84 (step @p11529 :rule cong :premises (@p11528 @p11527) :args (@t258)) % 1.61/1.84 (step @p11530 :rule eq_resolve :premises (@p40 @p11529)) % 1.61/1.84 (step @p11531 :rule cong :premises (@p11530 @p11472) :args (@t6786)) % 1.61/1.84 (step @p11532 :rule nary_cong :premises (@p9199 @p11504 @p8623) :args (@t6787)) % 1.61/1.84 (step @p11533 :rule cong :premises (@p11532) :args ((forall @t249 @t6787))) % 1.61/1.84 (step @p11534 :rule aci_norm :args ((= (or @t437 (or @t6780 @t44)) @t6787))) % 1.61/1.84 (step @p11535 :rule bool-impl-elim :args (@t39 @t44)) % 1.61/1.84 (step @p11536 :rule nary_cong :premises (@p11515 @p11535) :args ((or @t437 @t248))) % 1.61/1.84 (step @p11537 :rule trans :premises (@p11536 @p11534)) % 1.61/1.84 (step @p11538 :rule bool-impl-elim :args (@t6 @t248)) % 1.61/1.84 (step @p11539 :rule trans :premises (@p11538 @p11537)) % 1.61/1.84 (step @p11540 :rule cong :premises (@p11539) :args (@t250)) % 1.61/1.84 (step @p11541 :rule trans :premises (@p11540 @p11533)) % 1.61/1.84 (step @p11542 :rule refl :args (tptp.setunionI)) % 1.61/1.84 (step @p11543 :rule cong :premises (@p11542 @p11541) :args (@t251)) % 1.61/1.84 (step @p11544 :rule eq_resolve :premises (@p39 @p11543)) % 1.61/1.84 (step @p11545 :rule cong :premises (@p11544 @p11531) :args (@t6788)) % 1.61/1.84 (step @p11546 :rule nary_cong :premises (@p9939 @p9199 @p882) :args (@t6789)) % 1.61/1.84 (step @p11547 :rule cong :premises (@p11546) :args ((forall @t245 @t6789))) % 1.61/1.84 (step @p11548 :rule aci_norm :args ((= (or @t6371 @t6790) @t6789))) % 1.61/1.84 (step @p11549 :rule bool-impl-elim :args (@t6 @t7)) % 1.61/1.84 (step @p11550 :rule refl :args (@t6371)) % 1.61/1.84 (step @p11551 :rule nary_cong :premises (@p11550 @p11549) :args ((or @t6371 @t31))) % 1.61/1.84 (step @p11552 :rule trans :premises (@p11551 @p11548)) % 1.61/1.84 (step @p11553 :rule bool-impl-elim :args (@t35 @t31)) % 1.61/1.84 (step @p11554 :rule trans :premises (@p11553 @p11552)) % 1.61/1.84 (step @p11555 :rule cong :premises (@p11554) :args (@t246)) % 1.61/1.84 (step @p11556 :rule trans :premises (@p11555 @p11547)) % 1.61/1.84 (step @p11557 :rule refl :args (tptp.powersetE)) % 1.61/1.84 (step @p11558 :rule cong :premises (@p11557 @p11556) :args (@t247)) % 1.61/1.84 (step @p11559 :rule eq_resolve :premises (@p38 @p11558)) % 1.61/1.84 (step @p11560 :rule cong :premises (@p11559 @p11545) :args (@t6791)) % 1.61/1.84 (step @p11561 :rule eq-symm :args (@t3204 tptp.emptyInPowerset)) % 1.61/1.84 (step @p11562 :rule refl :args (tptp.emptyInPowerset)) % 1.61/1.84 (step @p11563 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 1.61/1.84 (step @p11564 :rule cong :premises (@p359 @p2153) :args (@t3203)) % 1.61/1.84 (step @p11565 :rule trans :premises (@p11564 @p11563)) % 1.61/1.84 (step @p11566 :rule ho_cong :premises (@p362 @p2153)) % 1.61/1.84 (step @p11567 :rule cong :premises (@p11566 @p11565) :args ((= (_ @t49 @t2181) @t3203))) % 1.61/1.84 (step @p11568 :rule symm :premises (@p11567)) % 1.61/1.84 (step @p11569 :rule refl :args (@t242)) % 1.61/1.84 (step @p11570 :rule eq_resolve :premises (@p11569 @p11568)) % 1.61/1.84 (step @p11571 :rule ho_cong :premises (@p362 @p2166)) % 1.61/1.84 (step @p11572 :rule trans :premises (@p11571 @p11570)) % 1.61/1.84 (step @p11573 :rule cong :premises (@p11572) :args (@t243)) % 1.61/1.84 (step @p11574 :rule cong :premises (@p11573 @p11562) :args ((= @t243 tptp.emptyInPowerset))) % 1.61/1.84 (step @p11575 :rule trans :premises (@p11574 @p11561)) % 1.61/1.84 (step @p11576 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 1.61/1.84 (step @p11577 :rule trans :premises (@p11576 @p11575)) % 1.61/1.84 (step @p11578 :rule eq_resolve :premises (@p37 @p11577)) % 1.61/1.84 (step @p11579 :rule cong :premises (@p11578 @p11560) :args (@t6792)) % 1.61/1.84 (step @p11580 :rule refl :args (tptp.emptyinPowerset)) % 1.61/1.84 (step @p11581 :rule cong :premises (@p11580 @p11573) :args (@t244)) % 1.61/1.84 (step @p11582 :rule eq_resolve :premises (@p36 @p11581)) % 1.61/1.84 (step @p11583 :rule cong :premises (@p11582 @p11579) :args (@t6793)) % 1.61/1.84 (step @p11584 :rule refl :args (@t3208)) % 1.61/1.84 (step @p11585 :rule nary_cong :premises (@p11584 @p9938) :args (@t6794)) % 1.61/1.84 (step @p11586 :rule cong :premises (@p11585) :args ((forall @t12 @t6794))) % 1.61/1.84 (step @p11587 :rule bool-impl-elim :args (@t3207 @t35)) % 1.61/1.84 (step @p11588 :rule cong :premises (@p11587) :args ((forall @t12 (=> @t3207 @t35)))) % 1.61/1.84 (step @p11589 :rule trans :premises (@p11588 @p11586)) % 1.61/1.84 (step @p11590 :rule refl :args (@t35)) % 1.61/1.84 (step @p11591 :rule nary_cong :premises (@p9199 @p882) :args (@t6790)) % 1.61/1.84 (step @p11592 :rule cong :premises (@p11591) :args ((forall @t9 @t6790))) % 1.61/1.84 (step @p11593 :rule cong :premises (@p11549) :args (@t32)) % 1.61/1.84 (step @p11594 :rule trans :premises (@p11593 @p11592)) % 1.61/1.84 (step @p11595 :rule cong :premises (@p11594 @p11590) :args (@t239)) % 1.61/1.84 (step @p11596 :rule cong :premises (@p11595) :args (@t240)) % 1.61/1.84 (step @p11597 :rule trans :premises (@p11596 @p11589)) % 1.61/1.84 (step @p11598 :rule refl :args (tptp.powersetI)) % 1.61/1.84 (step @p11599 :rule cong :premises (@p11598 @p11597) :args (@t241)) % 1.61/1.84 (step @p11600 :rule eq_resolve :premises (@p35 @p11599)) % 1.61/1.84 (step @p11601 :rule cong :premises (@p11600 @p11583) :args (@t6795)) % 1.61/1.84 (step @p11602 :rule refl :args (@t3213)) % 1.61/1.84 (step @p11603 :rule refl :args (@t3212)) % 1.61/1.84 (step @p11604 :rule cong :premises (@p1066 @p11603) :args (@t3213)) % 1.61/1.84 (step @p11605 :rule trans :premises (@p11604 @p11602)) % 1.61/1.84 (step @p11606 :rule ho_cong :premises (@p8509 @p11603)) % 1.61/1.84 (step @p11607 :rule cong :premises (@p11606 @p11605) :args ((= @t6796 @t3213))) % 1.61/1.84 (step @p11608 :rule symm :premises (@p11607)) % 1.61/1.84 (step @p11609 :rule refl :args ((_ @t155 @t3212))) % 1.61/1.84 (step @p11610 :rule eq_resolve :premises (@p11609 @p11608)) % 1.61/1.84 (step @p11611 :rule cong :premises (@p1066 @p11610) :args (@t6797)) % 1.61/1.84 (step @p11612 :rule cong :premises (@p11611) :args ((forall @t64 @t6797))) % 1.61/1.84 (step @p11613 :rule eq-symm :args (@t6796 @t2)) % 1.61/1.84 (step @p11614 :rule symm :premises (@p11603)) % 1.61/1.84 (step @p11615 :rule alpha_equiv :args (@t235 @t3992 (@list @t3211))) % 1.61/1.84 (step @p11616 :rule trans :premises (@p11615 @p11614)) % 1.61/1.84 (step @p11617 :rule ho_cong :premises (@p5816 @p11616)) % 1.61/1.84 (step @p11618 :rule cong :premises (@p11617 @p1882) :args (@t236)) % 1.61/1.84 (step @p11619 :rule trans :premises (@p11618 @p11613)) % 1.61/1.84 (step @p11620 :rule cong :premises (@p11619) :args (@t237)) % 1.61/1.84 (step @p11621 :rule trans :premises (@p11620 @p11612)) % 1.61/1.84 (step @p11622 :rule refl :args (tptp.setoftrueEq)) % 1.61/1.84 (step @p11623 :rule cong :premises (@p11622 @p11621) :args (@t238)) % 1.61/1.84 (step @p11624 :rule eq_resolve :premises (@p34 @p11623)) % 1.61/1.84 (step @p11625 :rule cong :premises (@p11624 @p11601) :args (@t6798)) % 1.61/1.84 (step @p11626 :rule refl :args ((tptp.in @t19 @t25))) % 1.61/1.84 (step @p11627 :rule cong :premises (@p5560 @p10034) :args (@t3216)) % 1.61/1.84 (step @p11628 :rule trans :premises (@p11627 @p11626)) % 1.61/1.84 (step @p11629 :rule ho_cong :premises (@p6180 @p10034)) % 1.61/1.84 (step @p11630 :rule cong :premises (@p11629 @p11628) :args ((= (_ @t20 @t3072) @t3216))) % 1.61/1.84 (step @p11631 :rule symm :premises (@p11630)) % 1.61/1.84 (step @p11632 :rule refl :args (@t26)) % 1.61/1.84 (step @p11633 :rule eq_resolve :premises (@p11632 @p11631)) % 1.61/1.84 (step @p11634 :rule ho_cong :premises (@p6180 @p10045)) % 1.61/1.84 (step @p11635 :rule trans :premises (@p11634 @p11633)) % 1.61/1.84 (step @p11636 :rule cong :premises (@p11635) :args (@t6799)) % 1.61/1.84 (step @p11637 :rule nary_cong :premises (@p11636 @p7069 @p929) :args (@t6800)) % 1.61/1.84 (step @p11638 :rule cong :premises (@p11637) :args ((forall @t28 @t6800))) % 1.61/1.84 (step @p11639 :rule aci_norm :args ((= (or @t6799 @t6801) @t6800))) % 1.61/1.84 (step @p11640 :rule bool-impl-elim :args (@t26 @t6801)) % 1.61/1.84 (step @p11641 :rule trans :premises (@p11640 @p11639)) % 1.61/1.84 (step @p11642 :rule cong :premises (@p11641) :args ((forall @t28 (=> @t26 @t6801)))) % 1.61/1.84 (step @p11643 :rule trans :premises (@p11642 @p11638)) % 1.61/1.84 (step @p11644 :rule nary_cong :premises (@p8448 @p1269) :args (@t23)) % 1.61/1.84 (step @p11645 :rule refl :args (@t26)) % 1.61/1.84 (step @p11646 :rule cong :premises (@p11645 @p11644) :args (@t232)) % 1.61/1.84 (step @p11647 :rule cong :premises (@p11646) :args (@t233)) % 1.61/1.84 (step @p11648 :rule trans :premises (@p11647 @p11643)) % 1.61/1.84 (step @p11649 :rule refl :args (tptp.setadjoinOr)) % 1.61/1.84 (step @p11650 :rule cong :premises (@p11649 @p11648) :args (@t234)) % 1.61/1.84 (step @p11651 :rule eq_resolve :premises (@p33 @p11650)) % 1.61/1.84 (step @p11652 :rule cong :premises (@p11651 @p11625) :args (@t6802)) % 1.61/1.84 (step @p11653 :rule refl :args (@t2888)) % 1.61/1.84 (step @p11654 :rule nary_cong :premises (@p11636 @p7069 @p11653) :args (@t6803)) % 1.61/1.84 (step @p11655 :rule cong :premises (@p11654) :args ((forall @t28 @t6803))) % 1.61/1.84 (step @p11656 :rule aci_norm :args ((= (or @t6799 @t3370) @t6803))) % 1.61/1.84 (step @p11657 :rule bool-impl-elim :args (@t26 @t3370)) % 1.61/1.84 (step @p11658 :rule trans :premises (@p11657 @p11656)) % 1.61/1.84 (step @p11659 :rule cong :premises (@p11658) :args ((forall @t28 (=> @t26 @t3370)))) % 1.61/1.84 (step @p11660 :rule trans :premises (@p11659 @p11655)) % 1.61/1.84 (step @p11661 :rule aci_norm :args ((= (and @t2888 true) @t2888))) % 1.61/1.84 (step @p11662 :rule refl :args (@t2888)) % 1.61/1.84 (step @p11663 :rule nary_cong :premises (@p11662 @p1172) :args (@t6804)) % 1.61/1.84 (step @p11664 :rule trans :premises (@p11663 @p11661)) % 1.61/1.84 (step @p11665 :rule aci_norm :args ((= (and @t129 true) @t129))) % 1.61/1.84 (step @p11666 :rule nary_cong :premises (@p8200 @p1172) :args (@t6805)) % 1.61/1.84 (step @p11667 :rule trans :premises (@p11666 @p11665)) % 1.61/1.84 (step @p11668 :rule nary_cong :premises (@p11667 @p11664) :args (@t6806)) % 1.61/1.84 (step @p11669 :rule aci_norm :args ((= @t6807 @t6806))) % 1.61/1.84 (step @p11670 :rule trans :premises (@p11669 @p11668)) % 1.61/1.84 (step @p11671 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t6809 @t6808 @t173)) @t6807))) % 1.61/1.84 (step @p11672 :rule refl :args (@t6808)) % 1.61/1.84 (step @p11673 :rule refl :args (@t6809)) % 1.61/1.84 (step @p11674 :rule nary_cong :premises (@p1185 @p11673 @p11672 @p1178) :args (@t6810)) % 1.61/1.84 (step @p11675 :rule aci_norm :args ((= @t6811 @t6810))) % 1.61/1.84 (step @p11676 :rule trans :premises (@p11675 @p11674)) % 1.61/1.84 (step @p11677 :rule cong :premises (@p11676) :args ((forall @t179 @t6811))) % 1.61/1.84 (step @p11678 :rule trans :premises (@p11677 @p11671)) % 1.61/1.84 (step @p11679 :rule trans :premises (@p11678 @p11670)) % 1.61/1.84 (step @p11680 :rule nary_cong :premises (@p929 @p3776) :args (@t6812)) % 1.61/1.84 (step @p11681 :rule nary_cong :premises (@p11673 @p11680 @p1178) :args (@t6813)) % 1.61/1.84 (step @p11682 :rule cong :premises (@p11681) :args ((forall @t179 @t6813))) % 1.61/1.84 (step @p11683 :rule trans :premises (@p11682 @p11679)) % 1.61/1.84 (step @p11684 :rule aci_norm :args ((= (or @t6809 (or @t6812 @t173)) @t6813))) % 1.61/1.84 (step @p11685 :rule bool-implies-de-morgan :args (@t21 @t173)) % 1.61/1.84 (step @p11686 :rule nary_cong :premises (@p11685 @p1178) :args ((or (not @t224) @t173))) % 1.61/1.84 (step @p11687 :rule bool-impl-elim :args (@t224 @t173)) % 1.61/1.84 (step @p11688 :rule trans :premises (@p11687 @p11686)) % 1.61/1.84 (step @p11689 :rule bool-implies-de-morgan :args (@t129 @t173)) % 1.61/1.84 (step @p11690 :rule nary_cong :premises (@p11689 @p11688) :args ((or (not @t6814) @t225))) % 1.61/1.84 (step @p11691 :rule trans :premises (@p11690 @p11684)) % 1.61/1.84 (step @p11692 :rule bool-impl-elim :args (@t6814 @t225)) % 1.61/1.84 (step @p11693 :rule trans :premises (@p11692 @p11691)) % 1.61/1.84 (step @p11694 :rule cong :premises (@p11693) :args ((forall @t179 (=> @t6814 @t225)))) % 1.61/1.84 (step @p11695 :rule trans :premises (@p11694 @p11683)) % 1.61/1.84 (step @p11696 :rule refl :args (@t225)) % 1.61/1.84 (step @p11697 :rule cong :premises (@p8448 @p1198) :args (@t226)) % 1.61/1.84 (step @p11698 :rule cong :premises (@p11697 @p11696) :args (@t227)) % 1.61/1.84 (step @p11699 :rule cong :premises (@p11698) :args (@t228)) % 1.61/1.84 (step @p11700 :rule trans :premises (@p11699 @p11695)) % 1.61/1.84 (step @p11701 :rule cong :premises (@p11645 @p11700) :args (@t229)) % 1.61/1.84 (step @p11702 :rule cong :premises (@p11701) :args (@t230)) % 1.61/1.84 (step @p11703 :rule trans :premises (@p11702 @p11660)) % 1.61/1.84 (step @p11704 :rule refl :args (tptp.setadjoinE)) % 1.61/1.84 (step @p11705 :rule cong :premises (@p11704 @p11703) :args (@t231)) % 1.61/1.84 (step @p11706 :rule eq_resolve :premises (@p32 @p11705)) % 1.61/1.84 (step @p11707 :rule cong :premises (@p11706 @p11652) :args (@t6815)) % 1.61/1.84 (step @p11708 :rule nary_cong :premises (@p930 @p11635) :args (@t6816)) % 1.61/1.84 (step @p11709 :rule cong :premises (@p11708) :args ((forall @t28 @t6816))) % 1.61/1.84 (step @p11710 :rule bool-impl-elim :args (@t21 @t26)) % 1.61/1.84 (step @p11711 :rule cong :premises (@p11710) :args (@t222)) % 1.61/1.84 (step @p11712 :rule trans :premises (@p11711 @p11709)) % 1.61/1.84 (step @p11713 :rule refl :args (tptp.setadjoinIR)) % 1.61/1.84 (step @p11714 :rule cong :premises (@p11713 @p11712) :args (@t223)) % 1.61/1.84 (step @p11715 :rule eq_resolve :premises (@p31 @p11714)) % 1.61/1.84 (step @p11716 :rule cong :premises (@p11715 @p11707) :args (@t6817)) % 1.61/1.84 (step @p11717 :rule cong :premises (@p30 @p11716) :args (@t6818)) % 1.61/1.84 (step @p11718 :rule refl :args ((tptp.in @t4 @t216))) % 1.61/1.84 (step @p11719 :rule refl :args (@t3225)) % 1.61/1.84 (step @p11720 :rule cong :premises (@p3047 @p11719) :args (@t3226)) % 1.61/1.84 (step @p11721 :rule trans :premises (@p11720 @p11718)) % 1.61/1.84 (step @p11722 :rule ho_cong :premises (@p3050 @p11719)) % 1.61/1.84 (step @p11723 :rule cong :premises (@p11722 @p11721) :args ((= (_ @t5 @t3225) @t3226))) % 1.61/1.84 (step @p11724 :rule symm :premises (@p11723)) % 1.61/1.84 (step @p11725 :rule refl :args (@t217)) % 1.61/1.84 (step @p11726 :rule eq_resolve :premises (@p11725 @p11724)) % 1.61/1.84 (step @p11727 :rule refl :args (@t216)) % 1.61/1.84 (step @p11728 :rule cong :premises (@p11727 @p11719) :args ((= @t216 @t3225))) % 1.61/1.84 (step @p11729 :rule symm :premises (@p11728)) % 1.61/1.84 (step @p11730 :rule eq_resolve :premises (@p11727 @p11729)) % 1.61/1.84 (step @p11731 :rule ho_cong :premises (@p3050 @p11730)) % 1.61/1.84 (step @p11732 :rule trans :premises (@p11731 @p11726)) % 1.61/1.84 (step @p11733 :rule cong :premises (@p11732) :args (@t218)) % 1.61/1.84 (step @p11734 :rule refl :args (tptp.setadjoinIL)) % 1.61/1.84 (step @p11735 :rule cong :premises (@p11734 @p11733) :args (@t219)) % 1.61/1.84 (step @p11736 :rule eq_resolve :premises (@p29 @p11735)) % 1.61/1.84 (step @p11737 :rule cong :premises (@p11736 @p11717) :args (@t6819)) % 1.61/1.84 (step @p11738 :rule aci_norm :args ((= (or @t3230 false) @t3230))) % 1.61/1.84 (step @p11739 :rule cong :premises (@p10777) :args (@t6820)) % 1.61/1.84 (step @p11740 :rule trans :premises (@p11739 @p5597)) % 1.61/1.84 (step @p11741 :rule refl :args (@t3230)) % 1.61/1.84 (step @p11742 :rule nary_cong :premises (@p11741 @p11740) :args (@t6821)) % 1.61/1.84 (step @p11743 :rule trans :premises (@p11742 @p11738)) % 1.61/1.84 (step @p11744 :rule cong :premises (@p11743) :args ((forall @t3231 @t6821))) % 1.61/1.84 (step @p11745 :rule quant-var-elim-eq :args ((= (forall @t64 @t6823) @t6821))) % 1.61/1.84 (step @p11746 :rule aci_norm :args ((= @t6824 @t6823))) % 1.61/1.84 (step @p11747 :rule cong :premises (@p11746) :args (@t6825)) % 1.61/1.84 (step @p11748 :rule trans :premises (@p11747 @p11745)) % 1.61/1.84 (step @p11749 :rule cong :premises (@p11748) :args (@t6826)) % 1.61/1.84 (step @p11750 :rule quant-merge-prenex :args ((= @t6826 @t6827))) % 1.61/1.84 (step @p11751 :rule symm :premises (@p11750)) % 1.61/1.84 (step @p11752 :rule quant_var_reordering :args ((= @t6828 @t6827))) % 1.61/1.84 (step @p11753 :rule trans :premises (@p11752 @p11751 @p11749)) % 1.61/1.84 (step @p11754 :rule trans :premises (@p11753 @p11744)) % 1.61/1.84 (step @p11755 :rule quant-merge-prenex :args ((= (forall @t64 @t6829) @t6828))) % 1.61/1.84 (step @p11756 :rule refl :args (@t6751)) % 1.61/1.84 (step @p11757 :rule alpha_equiv :args (@t6830 (@list @t3229) @t3992)) % 1.61/1.84 (step @p11758 :rule nary_cong :premises (@p11757 @p11756) :args (@t6831)) % 1.61/1.84 (step @p11759 :rule quant-miniscope-or :args ((= @t6829 @t6831))) % 1.61/1.84 (step @p11760 :rule trans :premises (@p11759 @p11758)) % 1.61/1.84 (step @p11761 :rule symm :premises (@p11760)) % 1.61/1.84 (step @p11762 :rule cong :premises (@p11761) :args ((forall @t64 (or @t3177 @t6751)))) % 1.61/1.84 (step @p11763 :rule trans :premises (@p11762 @p11755)) % 1.61/1.84 (step @p11764 :rule trans :premises (@p11763 @p11754)) % 1.61/1.84 (step @p11765 :rule bool-double-not-elim :args (@t3177)) % 1.61/1.84 (step @p11766 :rule nary_cong :premises (@p11765 @p11756) :args ((or @t6832 @t6751))) % 1.61/1.84 (step @p11767 :rule bool-impl-elim :args (@t3178 @t6751)) % 1.61/1.84 (step @p11768 :rule trans :premises (@p11767 @p11766)) % 1.61/1.84 (step @p11769 :rule cong :premises (@p11768) :args ((forall @t64 (=> @t3178 @t6751)))) % 1.61/1.84 (step @p11770 :rule trans :premises (@p11769 @p11764)) % 1.61/1.84 (step @p11771 :rule cong :premises (@p11390 @p11394) :args (@t6833)) % 1.61/1.84 (step @p11772 :rule cong :premises (@p11771) :args (@t6834)) % 1.61/1.84 (step @p11773 :rule trans :premises (@p11772 @p11770)) % 1.61/1.84 (step @p11774 :rule refl :args (tptp.nonemptyI1)) % 1.61/1.84 (step @p11775 :rule cong :premises (@p11774 @p11773) :args ((= tptp.nonemptyI1 @t6834))) % 1.61/1.84 (step @p11776 :rule refl :args (@t89)) % 1.61/1.84 (step @p11777 :rule cong :premises (@p11776 @p11401) :args (@t213)) % 1.61/1.84 (step @p11778 :rule cong :premises (@p11777) :args (@t214)) % 1.61/1.84 (step @p11779 :rule cong :premises (@p11774 @p11778) :args (@t215)) % 1.61/1.84 (step @p11780 :rule trans :premises (@p11779 @p11775)) % 1.61/1.84 (step @p11781 :rule eq_resolve :premises (@p28 @p11780)) % 1.61/1.84 (step @p11782 :rule cong :premises (@p11781 @p11737) :args (@t6835)) % 1.61/1.84 (step @p11783 :rule cong :premises (@p1882 @p8405) :args (@t6836)) % 1.61/1.84 (step @p11784 :rule cong :premises (@p312 @p11783) :args (@t6837)) % 1.61/1.84 (step @p11785 :rule cong :premises (@p11784) :args (@t6838)) % 1.61/1.84 (step @p11786 :rule nary_cong :premises (@p3756 @p8408 @p11785) :args (@t6839)) % 1.61/1.84 (step @p11787 :rule cong :premises (@p11786) :args ((forall @t159 @t6839))) % 1.61/1.84 (step @p11788 :rule refl :args ((tptp.dsetconstr @t2 @t154))) % 1.61/1.84 (step @p11789 :rule cong :premises (@p1066 @p8412) :args (@t6836)) % 1.61/1.84 (step @p11790 :rule trans :premises (@p11789 @p11788)) % 1.61/1.84 (step @p11791 :rule ho_cong :premises (@p8509 @p8412)) % 1.61/1.84 (step @p11792 :rule cong :premises (@p11791 @p11790) :args ((= (_ @t155 @t6114) @t6836))) % 1.61/1.84 (step @p11793 :rule symm :premises (@p11792)) % 1.61/1.84 (step @p11794 :rule refl :args (@t156)) % 1.61/1.84 (step @p11795 :rule eq_resolve :premises (@p11794 @p11793)) % 1.61/1.84 (step @p11796 :rule ho_cong :premises (@p8509 @p8420)) % 1.61/1.84 (step @p11797 :rule trans :premises (@p11796 @p11795)) % 1.61/1.84 (step @p11798 :rule cong :premises (@p359 @p11797) :args (@t6840)) % 1.61/1.84 (step @p11799 :rule cong :premises (@p11798) :args (@t6841)) % 1.61/1.84 (step @p11800 :rule nary_cong :premises (@p883 @p7060 @p11799) :args (@t6842)) % 1.61/1.84 (step @p11801 :rule cong :premises (@p11800) :args ((forall @t159 @t6842))) % 1.61/1.84 (step @p11802 :rule trans :premises (@p11801 @p11787)) % 1.61/1.84 (step @p11803 :rule aci_norm :args ((= (or @t197 (or @t317 @t6841)) @t6842))) % 1.61/1.84 (step @p11804 :rule bool-impl-elim :args (@t144 @t6841)) % 1.61/1.84 (step @p11805 :rule nary_cong :premises (@p3166 @p11804) :args ((or @t197 @t6843))) % 1.61/1.84 (step @p11806 :rule trans :premises (@p11805 @p11803)) % 1.61/1.84 (step @p11807 :rule bool-impl-elim :args (@t7 @t6843)) % 1.61/1.84 (step @p11808 :rule trans :premises (@p11807 @p11806)) % 1.61/1.84 (step @p11809 :rule cong :premises (@p11808) :args ((forall @t159 (=> @t7 @t6843)))) % 1.61/1.84 (step @p11810 :rule trans :premises (@p11809 @p11802)) % 1.61/1.84 (step @p11811 :rule eq-symm :args (@t156 tptp.emptyset)) % 1.61/1.84 (step @p11812 :rule cong :premises (@p11811) :args (@t6844)) % 1.61/1.84 (step @p11813 :rule beta-reduce :args ((= @t6845 @t6844))) % 1.61/1.84 (step @p11814 :rule trans :premises (@p11813 @p11812)) % 1.61/1.84 (step @p11815 :rule cong :premises (@p8455 @p11814) :args (@t6846)) % 1.61/1.84 (step @p11816 :rule cong :premises (@p942 @p11815) :args (@t6847)) % 1.61/1.84 (step @p11817 :rule cong :premises (@p11816) :args (@t6848)) % 1.61/1.84 (step @p11818 :rule trans :premises (@p11817 @p11810)) % 1.61/1.84 (step @p11819 :rule refl :args (tptp.nonemptyI)) % 1.61/1.84 (step @p11820 :rule cong :premises (@p11819 @p11818) :args ((= tptp.nonemptyI @t6848))) % 1.61/1.84 (step @p11821 :rule refl :args (@t156)) % 1.61/1.84 (step @p11822 :rule ho_cong :premises (@p305 @p11821)) % 1.61/1.84 (step @p11823 :rule cong :premises (@p8455 @p11822) :args (@t209)) % 1.61/1.84 (step @p11824 :rule cong :premises (@p942 @p11823) :args (@t210)) % 1.61/1.84 (step @p11825 :rule cong :premises (@p11824) :args (@t211)) % 1.61/1.84 (step @p11826 :rule cong :premises (@p11819 @p11825) :args (@t212)) % 1.61/1.84 (step @p11827 :rule trans :premises (@p11826 @p11820)) % 1.61/1.84 (step @p11828 :rule eq_resolve :premises (@p27 @p11827)) % 1.61/1.84 (step @p11829 :rule cong :premises (@p11828 @p11782) :args (@t6849)) % 1.61/1.84 (step @p11830 :rule cong :premises (@p11394 @p11390) :args (@t6850)) % 1.61/1.84 (step @p11831 :rule cong :premises (@p11830) :args (@t6851)) % 1.61/1.84 (step @p11832 :rule trans :premises (@p11831 @p11386)) % 1.61/1.84 (step @p11833 :rule refl :args (tptp.nonemptyE1)) % 1.61/1.84 (step @p11834 :rule cong :premises (@p11833 @p11832) :args ((= tptp.nonemptyE1 @t6851))) % 1.61/1.84 (step @p11835 :rule cong :premises (@p11401 @p11776) :args (@t206)) % 1.61/1.84 (step @p11836 :rule cong :premises (@p11835) :args (@t207)) % 1.61/1.84 (step @p11837 :rule cong :premises (@p11833 @p11836) :args (@t208)) % 1.61/1.84 (step @p11838 :rule trans :premises (@p11837 @p11834)) % 1.61/1.84 (step @p11839 :rule eq_resolve :premises (@p26 @p11838)) % 1.61/1.84 (step @p11840 :rule cong :premises (@p11839 @p11829) :args (@t6852)) % 1.61/1.84 (step @p11841 :rule cong :premises (@p5935 @p11783) :args (@t6853)) % 1.61/1.84 (step @p11842 :rule refl :args (@t2877)) % 1.61/1.84 (step @p11843 :rule cong :premises (@p11842 @p11841) :args (@t6854)) % 1.61/1.84 (step @p11844 :rule nary_cong :premises (@p3756 @p11843) :args (@t6855)) % 1.61/1.84 (step @p11845 :rule cong :premises (@p11844) :args ((forall @t159 @t6855))) % 1.61/1.84 (step @p11846 :rule refl :args ((tptp.in @t4 @t156))) % 1.61/1.84 (step @p11847 :rule cong :premises (@p3047 @p11790) :args (@t6853)) % 1.61/1.84 (step @p11848 :rule trans :premises (@p11847 @p11846)) % 1.61/1.84 (step @p11849 :rule ho_cong :premises (@p3050 @p11790)) % 1.61/1.84 (step @p11850 :rule cong :premises (@p11849 @p11848) :args ((= (_ @t5 @t6836) @t6853))) % 1.61/1.84 (step @p11851 :rule symm :premises (@p11850)) % 1.61/1.84 (step @p11852 :rule refl :args (@t157)) % 1.61/1.84 (step @p11853 :rule eq_resolve :premises (@p11852 @p11851)) % 1.61/1.84 (step @p11854 :rule ho_cong :premises (@p3050 @p11797)) % 1.61/1.84 (step @p11855 :rule trans :premises (@p11854 @p11853)) % 1.61/1.84 (step @p11856 :rule cong :premises (@p1815 @p11855) :args (@t6856)) % 1.61/1.84 (step @p11857 :rule nary_cong :premises (@p883 @p11856) :args (@t6857)) % 1.61/1.84 (step @p11858 :rule cong :premises (@p11857) :args ((forall @t159 @t6857))) % 1.61/1.84 (step @p11859 :rule trans :premises (@p11858 @p11845)) % 1.61/1.84 (step @p11860 :rule bool-impl-elim :args (@t7 @t6856)) % 1.61/1.84 (step @p11861 :rule cong :premises (@p11860) :args ((forall @t159 (=> @t7 @t6856)))) % 1.61/1.84 (step @p11862 :rule trans :premises (@p11861 @p11859)) % 1.61/1.84 (step @p11863 :rule eq-symm :args (@t157 @t144)) % 1.61/1.84 (step @p11864 :rule cong :premises (@p942 @p11863) :args (@t202)) % 1.61/1.84 (step @p11865 :rule cong :premises (@p11864) :args (@t203)) % 1.61/1.84 (step @p11866 :rule trans :premises (@p11865 @p11862)) % 1.61/1.84 (step @p11867 :rule refl :args (tptp.setbeta)) % 1.61/1.84 (step @p11868 :rule cong :premises (@p11867 @p11866) :args (@t204)) % 1.61/1.84 (step @p11869 :rule eq_resolve :premises (@p25 @p11868)) % 1.61/1.84 (step @p11870 :rule cong :premises (@p11869 @p11840) :args (@t6858)) % 1.61/1.84 (step @p11871 :rule eq-symm :args (@t3240 tptp.noeltsimpempty)) % 1.61/1.84 (step @p11872 :rule refl :args (tptp.noeltsimpempty)) % 1.61/1.84 (step @p11873 :rule bool-impl-elim :args (@t3177 @t196)) % 1.61/1.84 (step @p11874 :rule cong :premises (@p11873) :args ((forall @t64 (=> @t3177 @t196)))) % 1.61/1.84 (step @p11875 :rule refl :args (@t196)) % 1.61/1.84 (step @p11876 :rule cong :premises (@p11387 @p11875) :args (@t199)) % 1.61/1.84 (step @p11877 :rule cong :premises (@p11876) :args (@t200)) % 1.61/1.84 (step @p11878 :rule trans :premises (@p11877 @p11874)) % 1.61/1.84 (step @p11879 :rule cong :premises (@p11878 @p11872) :args ((= @t200 tptp.noeltsimpempty))) % 1.61/1.84 (step @p11880 :rule trans :premises (@p11879 @p11871)) % 1.61/1.84 (step @p11881 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 1.61/1.84 (step @p11882 :rule trans :premises (@p11881 @p11880)) % 1.61/1.84 (step @p11883 :rule eq_resolve :premises (@p24 @p11882)) % 1.61/1.84 (step @p11884 :rule cong :premises (@p11883 @p11870) :args (@t6859)) % 1.61/1.84 (step @p11885 :rule refl :args (tptp.emptyI)) % 1.61/1.84 (step @p11886 :rule cong :premises (@p11885 @p11878) :args (@t201)) % 1.61/1.84 (step @p11887 :rule eq_resolve :premises (@p23 @p11886)) % 1.61/1.84 (step @p11888 :rule cong :premises (@p11887 @p11884) :args (@t6860)) % 1.61/1.84 (step @p11889 :rule aci_norm :args ((= (or @t3088 (or @t3208 @t3)) @t3243))) % 1.61/1.84 (step @p11890 :rule bool-impl-elim :args (@t3207 @t3)) % 1.61/1.84 (step @p11891 :rule nary_cong :premises (@p10214 @p11890) :args ((or @t3088 @t6861))) % 1.61/1.84 (step @p11892 :rule trans :premises (@p11891 @p11889)) % 1.61/1.84 (step @p11893 :rule bool-impl-elim :args (@t3087 @t6861)) % 1.61/1.84 (step @p11894 :rule trans :premises (@p11893 @p11892)) % 1.61/1.84 (step @p11895 :rule cong :premises (@p11894) :args ((forall @t12 (=> @t3087 @t6861)))) % 1.61/1.84 (step @p11896 :rule cong :premises (@p11594 @p10396) :args (@t190)) % 1.61/1.84 (step @p11897 :rule cong :premises (@p10223 @p11896) :args (@t193)) % 1.61/1.84 (step @p11898 :rule cong :premises (@p11897) :args (@t194)) % 1.61/1.84 (step @p11899 :rule trans :premises (@p11898 @p11895)) % 1.61/1.84 (step @p11900 :rule refl :args (tptp.setext)) % 1.61/1.84 (step @p11901 :rule cong :premises (@p11900 @p11899) :args (@t195)) % 1.61/1.84 (step @p11902 :rule eq_resolve :premises (@p22 @p11901)) % 1.61/1.84 (step @p11903 :rule cong :premises (@p11902 @p11888) :args (@t6862)) % 1.61/1.84 (step @p11904 :rule eq-symm :args (@t3246 @t19)) % 1.61/1.84 (step @p11905 :rule nary_cong :premises (@p10411 @p11904) :args (@t6863)) % 1.61/1.84 (step @p11906 :rule cong :premises (@p11905) :args (@t6864)) % 1.61/1.84 (step @p11907 :rule cong :premises (@p11906) :args (@t6865)) % 1.61/1.84 (step @p11908 :rule refl :args (@t3247)) % 1.61/1.84 (step @p11909 :rule refl :args (@t3249)) % 1.61/1.84 (step @p11910 :rule nary_cong :premises (@p11909 @p11908 @p11907) :args (@t6866)) % 1.61/1.84 (step @p11911 :rule aci_norm :args ((= @t6868 @t6866))) % 1.61/1.84 (step @p11912 :rule trans :premises (@p11911 @p11910)) % 1.61/1.84 (step @p11913 :rule cong :premises (@p11912) :args (@t6869)) % 1.61/1.84 (step @p11914 :rule quant-merge-prenex :args ((= (forall @t150 @t6871) @t6869))) % 1.61/1.84 (step @p11915 :rule refl :args (@t3249)) % 1.61/1.84 (step @p11916 :rule alpha_equiv :args (@t6872 (@list @t3246) @t3992)) % 1.61/1.84 (step @p11917 :rule nary_cong :premises (@p11916 @p11915) :args (@t6873)) % 1.61/1.84 (step @p11918 :rule quant-miniscope-or :args ((= @t6871 @t6873))) % 1.61/1.84 (step @p11919 :rule trans :premises (@p11918 @p11917)) % 1.61/1.84 (step @p11920 :rule symm :premises (@p11919)) % 1.61/1.84 (step @p11921 :rule cong :premises (@p11920) :args ((forall @t150 (or @t3129 @t3249)))) % 1.61/1.84 (step @p11922 :rule trans :premises (@p11921 @p11914)) % 1.61/1.84 (step @p11923 :rule trans :premises (@p11922 @p11913)) % 1.61/1.84 (step @p11924 :rule nary_cong :premises (@p10479 @p11915) :args ((or @t6495 @t3249))) % 1.61/1.84 (step @p11925 :rule bool-impl-elim :args (@t3130 @t3249)) % 1.61/1.84 (step @p11926 :rule trans :premises (@p11925 @p11924)) % 1.61/1.84 (step @p11927 :rule cong :premises (@p11926) :args ((forall @t150 (=> @t3130 @t3249)))) % 1.61/1.84 (step @p11928 :rule trans :premises (@p11927 @p11923)) % 1.61/1.84 (step @p11929 :rule cong :premises (@p10531 @p11014) :args (@t6874)) % 1.61/1.84 (step @p11930 :rule cong :premises (@p11929) :args (@t6875)) % 1.61/1.84 (step @p11931 :rule trans :premises (@p11930 @p11928)) % 1.61/1.84 (step @p11932 :rule refl :args (tptp.exuE3e)) % 1.61/1.84 (step @p11933 :rule cong :premises (@p11932 @p11931) :args ((= tptp.exuE3e @t6875))) % 1.61/1.84 (step @p11934 :rule cong :premises (@p10575 @p11021) :args (@t187)) % 1.61/1.84 (step @p11935 :rule cong :premises (@p11934) :args (@t188)) % 1.61/1.84 (step @p11936 :rule cong :premises (@p11932 @p11935) :args (@t189)) % 1.61/1.84 (step @p11937 :rule trans :premises (@p11936 @p11933)) % 1.61/1.84 (step @p11938 :rule eq_resolve :premises (@p21 @p11937)) % 1.61/1.84 (step @p11939 :rule cong :premises (@p11938 @p11903) :args (@t6876)) % 1.61/1.84 (step @p11940 :rule eq-symm :args (@t3253 tptp.notinemptyset)) % 1.61/1.84 (step @p11941 :rule refl :args (tptp.notinemptyset)) % 1.61/1.84 (step @p11942 :rule cong :premises (@p11231) :args (@t17)) % 1.61/1.84 (step @p11943 :rule cong :premises (@p11942 @p11941) :args ((= @t17 tptp.notinemptyset))) % 1.61/1.84 (step @p11944 :rule trans :premises (@p11943 @p11940)) % 1.61/1.84 (step @p11945 :rule eq-symm :args (tptp.notinemptyset @t17)) % 1.61/1.84 (step @p11946 :rule trans :premises (@p11945 @p11944)) % 1.61/1.84 (step @p11947 :rule eq_resolve :premises (@p20 @p11946)) % 1.61/1.84 (step @p11948 :rule cong :premises (@p11947 @p11939) :args (@t6877)) % 1.61/1.84 (step @p11949 :rule bool-impl-false1 :args (@t15)) % 1.61/1.84 (step @p11950 :rule cong :premises (@p11949) :args (@t184)) % 1.61/1.84 (step @p11951 :rule trans :premises (@p11950 @p11942)) % 1.61/1.84 (step @p11952 :rule refl :args (tptp.emptysetimpfalse)) % 1.61/1.84 (step @p11953 :rule cong :premises (@p11952 @p11951) :args (@t185)) % 1.61/1.84 (step @p11954 :rule eq_resolve :premises (@p19 @p11953)) % 1.61/1.84 (step @p11955 :rule cong :premises (@p11954 @p11948) :args (@t6878)) % 1.61/1.84 (step @p11956 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t173)) false))) % 1.61/1.84 (step @p11957 :rule nary_cong :premises (@p1185 @p1178) :args (@t6879)) % 1.61/1.84 (step @p11958 :rule aci_norm :args ((= @t173 @t6879))) % 1.61/1.84 (step @p11959 :rule trans :premises (@p11958 @p11957)) % 1.61/1.84 (step @p11960 :rule cong :premises (@p11959) :args (@t180)) % 1.61/1.84 (step @p11961 :rule trans :premises (@p11960 @p11956)) % 1.61/1.84 (step @p11962 :rule refl :args (@t15)) % 1.61/1.84 (step @p11963 :rule cong :premises (@p11962 @p11961) :args (@t181)) % 1.61/1.84 (step @p11964 :rule trans :premises (@p11963 @p11949)) % 1.61/1.84 (step @p11965 :rule cong :premises (@p11964) :args (@t182)) % 1.61/1.84 (step @p11966 :rule trans :premises (@p11965 @p11942)) % 1.61/1.84 (step @p11967 :rule refl :args (tptp.emptysetE)) % 1.61/1.84 (step @p11968 :rule cong :premises (@p11967 @p11966) :args (@t183)) % 1.61/1.84 (step @p11969 :rule eq_resolve :premises (@p18 @p11968)) % 1.61/1.84 (step @p11970 :rule cong :premises (@p11969 @p11955) :args (@t6880)) % 1.61/1.84 (step @p11971 :rule aci_norm :args ((= @t6881 @t3257))) % 1.61/1.84 (step @p11972 :rule cong :premises (@p11971) :args ((forall @t9 @t6881))) % 1.61/1.84 (step @p11973 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3757 @t6883 @t173)) @t6881))) % 1.61/1.84 (step @p11974 :rule refl :args (@t6883)) % 1.61/1.84 (step @p11975 :rule nary_cong :premises (@p1185 @p11974 @p1178) :args (@t6884)) % 1.61/1.84 (step @p11976 :rule aci_norm :args ((= @t6885 @t6884))) % 1.61/1.84 (step @p11977 :rule trans :premises (@p11976 @p11975)) % 1.61/1.84 (step @p11978 :rule cong :premises (@p11977) :args (@t6886)) % 1.61/1.84 (step @p11979 :rule trans :premises (@p11978 @p11973)) % 1.61/1.84 (step @p11980 :rule cong :premises (@p11979) :args (@t6887)) % 1.61/1.84 (step @p11981 :rule quant-merge-prenex :args ((= @t6887 @t6888))) % 1.61/1.84 (step @p11982 :rule symm :premises (@p11981)) % 1.61/1.84 (step @p11983 :rule quant_var_reordering :args ((= (forall @t176 @t6885) @t6888))) % 1.61/1.84 (step @p11984 :rule trans :premises (@p11983 @p11982 @p11980)) % 1.61/1.84 (step @p11985 :rule trans :premises (@p11984 @p11972)) % 1.61/1.84 (step @p11986 :rule refl :args ((tptp.in @t4 @t174))) % 1.61/1.84 (step @p11987 :rule cong :premises (@p3047 @p11132) :args (@t6882)) % 1.61/1.84 (step @p11988 :rule trans :premises (@p11987 @p11986)) % 1.61/1.84 (step @p11989 :rule ho_cong :premises (@p3050 @p11132)) % 1.61/1.84 (step @p11990 :rule cong :premises (@p11989 @p11988) :args ((= (_ @t5 @t6701) @t6882))) % 1.61/1.84 (step @p11991 :rule symm :premises (@p11990)) % 1.61/1.84 (step @p11992 :rule refl :args (@t175)) % 1.61/1.84 (step @p11993 :rule eq_resolve :premises (@p11992 @p11991)) % 1.61/1.84 (step @p11994 :rule ho_cong :premises (@p3050 @p11144)) % 1.61/1.84 (step @p11995 :rule trans :premises (@p11994 @p11993)) % 1.61/1.84 (step @p11996 :rule cong :premises (@p11995) :args (@t6889)) % 1.61/1.84 (step @p11997 :rule nary_cong :premises (@p11996 @p1178) :args (@t6890)) % 1.61/1.84 (step @p11998 :rule cong :premises (@p11997) :args ((forall @t176 @t6890))) % 1.61/1.84 (step @p11999 :rule trans :premises (@p11998 @p11985)) % 1.61/1.84 (step @p12000 :rule bool-impl-elim :args (@t175 @t173)) % 1.61/1.84 (step @p12001 :rule cong :premises (@p12000) :args (@t177)) % 1.61/1.84 (step @p12002 :rule trans :premises (@p12001 @p11999)) % 1.61/1.84 (step @p12003 :rule refl :args (tptp.prop2setE)) % 1.61/1.84 (step @p12004 :rule cong :premises (@p12003 @p12002) :args (@t178)) % 1.61/1.84 (step @p12005 :rule eq_resolve :premises (@p17 @p12004)) % 1.61/1.84 (step @p12006 :rule cong :premises (@p12005 @p11970) :args (@t6891)) % 1.61/1.84 (step @p12007 :rule bool-eq-true :args (tptp.exuE1)) % 1.61/1.84 (step @p12008 :rule symm :premises (@p12007)) % 1.61/1.84 (step @p12009 :rule cong :premises (@p10531 @p10569) :args (@t6892)) % 1.61/1.84 (step @p12010 :rule cong :premises (@p12009) :args (@t6893)) % 1.61/1.84 (step @p12011 :rule trans :premises (@p12010 @p11037)) % 1.61/1.84 (step @p12012 :rule refl :args (tptp.exuE1)) % 1.61/1.84 (step @p12013 :rule cong :premises (@p12012 @p12011) :args ((= tptp.exuE1 @t6893))) % 1.61/1.84 (step @p12014 :rule trans :premises (@p12013 @p12007)) % 1.61/1.84 (step @p12015 :rule cong :premises (@p10575 @p11044) :args (@t170)) % 1.61/1.84 (step @p12016 :rule cong :premises (@p12015) :args (@t171)) % 1.61/1.84 (step @p12017 :rule cong :premises (@p12012 @p12016) :args (@t172)) % 1.61/1.84 (step @p12018 :rule trans :premises (@p12017 @p12014)) % 1.61/1.84 (step @p12019 :rule eq_resolve :premises (@p16 @p12018)) % 1.61/1.84 (step @p12020 :rule eq_resolve :premises (@p12019 @p12008)) % 1.61/1.84 (step @p12021 :rule cong :premises (@p12020 @p12006) :args (@t6894)) % 1.61/1.84 (step @p12022 :rule cong :premises (@p11841) :args (@t6895)) % 1.61/1.84 (step @p12023 :rule nary_cong :premises (@p12022 @p11842) :args (@t6896)) % 1.61/1.84 (step @p12024 :rule cong :premises (@p12023) :args ((forall @t159 @t6896))) % 1.61/1.84 (step @p12025 :rule cong :premises (@p11855) :args (@t6897)) % 1.61/1.84 (step @p12026 :rule nary_cong :premises (@p12025 @p1815) :args (@t6898)) % 1.61/1.84 (step @p12027 :rule cong :premises (@p12026) :args ((forall @t159 @t6898))) % 1.61/1.84 (step @p12028 :rule trans :premises (@p12027 @p12024)) % 1.61/1.84 (step @p12029 :rule bool-impl-elim :args (@t157 @t144)) % 1.61/1.84 (step @p12030 :rule cong :premises (@p12029) :args (@t164)) % 1.61/1.84 (step @p12031 :rule trans :premises (@p12030 @p12028)) % 1.61/1.84 (step @p12032 :rule refl :args (tptp.dsetconstrER)) % 1.61/1.84 (step @p12033 :rule cong :premises (@p12032 @p12031) :args (@t165)) % 1.61/1.84 (step @p12034 :rule eq_resolve :premises (@p15 @p12033)) % 1.61/1.84 (step @p12035 :rule cong :premises (@p12034 @p12021) :args (@t6899)) % 1.61/1.84 (step @p12036 :rule nary_cong :premises (@p12022 @p7555) :args (@t6900)) % 1.61/1.84 (step @p12037 :rule cong :premises (@p12036) :args ((forall @t159 @t6900))) % 1.61/1.84 (step @p12038 :rule nary_cong :premises (@p12025 @p882) :args (@t6901)) % 1.61/1.84 (step @p12039 :rule cong :premises (@p12038) :args ((forall @t159 @t6901))) % 1.61/1.84 (step @p12040 :rule trans :premises (@p12039 @p12037)) % 1.61/1.84 (step @p12041 :rule bool-impl-elim :args (@t157 @t7)) % 1.61/1.84 (step @p12042 :rule cong :premises (@p12041) :args (@t162)) % 1.61/1.84 (step @p12043 :rule trans :premises (@p12042 @p12040)) % 1.61/1.84 (step @p12044 :rule refl :args (tptp.dsetconstrEL)) % 1.61/1.84 (step @p12045 :rule cong :premises (@p12044 @p12043) :args (@t163)) % 1.61/1.84 (step @p12046 :rule eq_resolve :premises (@p14 @p12045)) % 1.61/1.84 (step @p12047 :rule cong :premises (@p12046 @p12035) :args (@t6902)) % 1.61/1.84 (step @p12048 :rule nary_cong :premises (@p3756 @p8408 @p11841) :args (@t6903)) % 1.61/1.84 (step @p12049 :rule cong :premises (@p12048) :args ((forall @t159 @t6903))) % 1.61/1.84 (step @p12050 :rule nary_cong :premises (@p883 @p7060 @p11855) :args (@t6904)) % 1.61/1.84 (step @p12051 :rule cong :premises (@p12050) :args ((forall @t159 @t6904))) % 1.61/1.84 (step @p12052 :rule trans :premises (@p12051 @p12049)) % 1.61/1.84 (step @p12053 :rule aci_norm :args ((= (or @t197 (or @t317 @t157)) @t6904))) % 1.61/1.84 (step @p12054 :rule bool-impl-elim :args (@t144 @t157)) % 1.61/1.84 (step @p12055 :rule nary_cong :premises (@p3166 @p12054) :args ((or @t197 @t158))) % 1.61/1.84 (step @p12056 :rule trans :premises (@p12055 @p12053)) % 1.61/1.84 (step @p12057 :rule bool-impl-elim :args (@t7 @t158)) % 1.61/1.84 (step @p12058 :rule trans :premises (@p12057 @p12056)) % 1.61/1.84 (step @p12059 :rule cong :premises (@p12058) :args (@t160)) % 1.61/1.84 (step @p12060 :rule trans :premises (@p12059 @p12052)) % 1.61/1.84 (step @p12061 :rule refl :args (tptp.dsetconstrI)) % 1.61/1.84 (step @p12062 :rule cong :premises (@p12061 @p12060) :args (@t161)) % 1.61/1.84 (step @p12063 :rule eq_resolve :premises (@p13 @p12062)) % 1.61/1.84 (step @p12064 :rule cong :premises (@p12063 @p12047) :args (@t6905)) % 1.61/1.84 (step @p12065 :rule eq-symm :args (@t3267 @t19)) % 1.61/1.84 (step @p12066 :rule nary_cong :premises (@p10411 @p12065) :args (@t6906)) % 1.61/1.84 (step @p12067 :rule cong :premises (@p12066) :args (@t6907)) % 1.61/1.84 (step @p12068 :rule cong :premises (@p12067) :args (@t6908)) % 1.61/1.84 (step @p12069 :rule refl :args (@t3268)) % 1.61/1.84 (step @p12070 :rule refl :args (@t3269)) % 1.61/1.84 (step @p12071 :rule nary_cong :premises (@p12070 @p12069 @p12068) :args (@t6909)) % 1.61/1.84 (step @p12072 :rule aci_norm :args ((= @t6911 @t6909))) % 1.61/1.84 (step @p12073 :rule trans :premises (@p12072 @p12071)) % 1.61/1.84 (step @p12074 :rule cong :premises (@p12073) :args (@t6912)) % 1.61/1.84 (step @p12075 :rule quant-merge-prenex :args ((= (forall @t150 @t6914) @t6912))) % 1.61/1.84 (step @p12076 :rule refl :args (@t3269)) % 1.61/1.84 (step @p12077 :rule alpha_equiv :args (@t6915 (@list @t3267) @t3992)) % 1.61/1.84 (step @p12078 :rule nary_cong :premises (@p12077 @p12076) :args (@t6916)) % 1.61/1.84 (step @p12079 :rule quant-miniscope-or :args ((= @t6914 @t6916))) % 1.61/1.84 (step @p12080 :rule trans :premises (@p12079 @p12078)) % 1.61/1.84 (step @p12081 :rule symm :premises (@p12080)) % 1.61/1.84 (step @p12082 :rule cong :premises (@p12081) :args ((forall @t150 (or @t3129 @t3269)))) % 1.61/1.84 (step @p12083 :rule trans :premises (@p12082 @p12075)) % 1.61/1.84 (step @p12084 :rule trans :premises (@p12083 @p12074)) % 1.61/1.84 (step @p12085 :rule cong :premises (@p10435) :args (@t6917)) % 1.61/1.84 (step @p12086 :rule nary_cong :premises (@p10438 @p12085) :args (@t6918)) % 1.61/1.84 (step @p12087 :rule cong :premises (@p12086) :args ((forall @t150 @t6918))) % 1.61/1.84 (step @p12088 :rule trans :premises (@p12087 @p12084)) % 1.61/1.84 (step @p12089 :rule refl :args ((_ @t143 @t146))) % 1.61/1.84 (step @p12090 :rule cong :premises (@p10455) :args (@t6917)) % 1.61/1.84 (step @p12091 :rule trans :premises (@p12090 @p12089)) % 1.61/1.84 (step @p12092 :rule ho_cong :premises (@p1848 @p10455)) % 1.61/1.84 (step @p12093 :rule cong :premises (@p12092 @p12091) :args ((= (_ @t143 @t6489) @t6917))) % 1.61/1.84 (step @p12094 :rule symm :premises (@p12093)) % 1.61/1.84 (step @p12095 :rule refl :args (@t147)) % 1.61/1.84 (step @p12096 :rule eq_resolve :premises (@p12095 @p12094)) % 1.61/1.84 (step @p12097 :rule ho_cong :premises (@p1848 @p10462)) % 1.61/1.84 (step @p12098 :rule trans :premises (@p12097 @p12096)) % 1.61/1.84 (step @p12099 :rule nary_cong :premises (@p10465 @p12098) :args (@t6919)) % 1.61/1.84 (step @p12100 :rule cong :premises (@p12099) :args ((forall @t150 @t6919))) % 1.61/1.84 (step @p12101 :rule trans :premises (@p12100 @p12088)) % 1.61/1.84 (step @p12102 :rule nary_cong :premises (@p10479 @p12095) :args ((or @t6495 @t147))) % 1.61/1.84 (step @p12103 :rule bool-impl-elim :args (@t3130 @t147)) % 1.61/1.84 (step @p12104 :rule trans :premises (@p12103 @p12102)) % 1.61/1.84 (step @p12105 :rule cong :premises (@p12104) :args ((forall @t150 (=> @t3130 @t147)))) % 1.61/1.84 (step @p12106 :rule trans :premises (@p12105 @p12101)) % 1.61/1.84 (step @p12107 :rule refl :args (@t147)) % 1.61/1.84 (step @p12108 :rule cong :premises (@p10531 @p12107) :args (@t6920)) % 1.61/1.84 (step @p12109 :rule cong :premises (@p12108) :args (@t6921)) % 1.61/1.84 (step @p12110 :rule trans :premises (@p12109 @p12106)) % 1.61/1.84 (step @p12111 :rule refl :args (tptp.descrp)) % 1.61/1.84 (step @p12112 :rule cong :premises (@p12111 @p12110) :args ((= tptp.descrp @t6921))) % 1.61/1.84 (step @p12113 :rule cong :premises (@p10575 @p12107) :args (@t149)) % 1.61/1.84 (step @p12114 :rule cong :premises (@p12113) :args (@t151)) % 1.61/1.84 (step @p12115 :rule cong :premises (@p12111 @p12114) :args (@t152)) % 1.61/1.84 (step @p12116 :rule trans :premises (@p12115 @p12112)) % 1.61/1.84 (step @p12117 :rule eq_resolve :premises (@p12 @p12116)) % 1.61/1.84 (step @p12118 :rule cong :premises (@p12117 @p12064) :args (@t6922)) % 1.61/1.84 (step @p12119 :rule aci_norm :args ((= (or @t3321 (or @t3314 (or @t3310 @t3298))) @t3322))) % 1.61/1.84 (step @p12120 :rule bool-and-de-morgan :args (@t3309 @t3297 true)) % 1.61/1.84 (step @p12121 :rule refl :args (@t3314)) % 1.61/1.84 (step @p12122 :rule nary_cong :premises (@p12121 @p12120) :args ((or @t3314 (not (and @t3309 @t3297))))) % 1.61/1.84 (step @p12123 :rule bool-and-de-morgan :args (@t3313 @t3309 (and @t3297))) % 1.61/1.84 (step @p12124 :rule trans :premises (@p12123 @p12122)) % 1.61/1.84 (step @p12125 :rule refl :args (@t3321)) % 1.61/1.84 (step @p12126 :rule nary_cong :premises (@p12125 @p12124) :args ((or @t3321 (not (and @t3313 @t3309 @t3297))))) % 1.61/1.84 (step @p12127 :rule bool-and-de-morgan :args (@t3320 @t3313 (and @t3309 @t3297))) % 1.61/1.84 (step @p12128 :rule trans :premises (@p12127 @p12126)) % 1.61/1.84 (step @p12129 :rule trans :premises (@p12128 @p12119)) % 1.61/1.84 (step @p12130 :rule cong :premises (@p12129) :args (@t6924)) % 1.61/1.84 (step @p12131 :rule cong :premises (@p12130) :args (@t6925)) % 1.61/1.84 (step @p12132 :rule exists-elim :args ((= (exists @t41 @t6923) @t6925))) % 1.61/1.84 (step @p12133 :rule trans :premises (@p12132 @p12131)) % 1.61/1.84 (step @p12134 :rule quant-merge-prenex :args ((= (forall @t118 @t6927) @t3297))) % 1.61/1.84 (step @p12135 :rule refl :args (@t3291)) % 1.61/1.84 (step @p12136 :rule alpha_equiv :args (@t6928 (@list @t3292) @t3992)) % 1.61/1.84 (step @p12137 :rule refl :args (@t3295)) % 1.61/1.84 (step @p12138 :rule nary_cong :premises (@p12137 @p12136 @p12135) :args (@t6929)) % 1.61/1.84 (step @p12139 :rule quant-miniscope-or :args ((= @t6927 @t6929))) % 1.61/1.84 (step @p12140 :rule trans :premises (@p12139 @p12138)) % 1.61/1.84 (step @p12141 :rule symm :premises (@p12140)) % 1.61/1.84 (step @p12142 :rule cong :premises (@p12141) :args ((forall @t118 @t6931))) % 1.61/1.84 (step @p12143 :rule trans :premises (@p12142 @p12134)) % 1.61/1.84 (step @p12144 :rule aci_norm :args ((= (or (or @t3295 @t6930) @t3291) @t6931))) % 1.61/1.84 (step @p12145 :rule bool-double-not-elim :args (@t6930)) % 1.61/1.84 (step @p12146 :rule nary_cong :premises (@p12137 @p12145) :args ((or @t3295 (not @t6932)))) % 1.61/1.84 (step @p12147 :rule bool-and-de-morgan :args (@t3294 @t6932 true)) % 1.61/1.84 (step @p12148 :rule trans :premises (@p12147 @p12146)) % 1.61/1.84 (step @p12149 :rule nary_cong :premises (@p12148 @p12135) :args ((or (not @t6933) @t3291))) % 1.61/1.84 (step @p12150 :rule trans :premises (@p12149 @p12144)) % 1.61/1.84 (step @p12151 :rule bool-impl-elim :args (@t6933 @t3291)) % 1.61/1.84 (step @p12152 :rule trans :premises (@p12151 @p12150)) % 1.61/1.84 (step @p12153 :rule cong :premises (@p12152) :args ((forall @t118 (=> @t6933 @t3291)))) % 1.61/1.84 (step @p12154 :rule trans :premises (@p12153 @p12143)) % 1.61/1.84 (step @p12155 :rule refl :args (@t3282)) % 1.61/1.84 (step @p12156 :rule refl :args (@t3286)) % 1.61/1.84 (step @p12157 :rule refl :args (@t3287)) % 1.61/1.84 (step @p12158 :rule refl :args (@t109)) % 1.61/1.84 (step @p12159 :rule cong :premises (@p12158 @p12157) :args ((= @t109 @t3287))) % 1.61/1.84 (step @p12160 :rule symm :premises (@p12159)) % 1.61/1.84 (step @p12161 :rule eq_resolve :premises (@p12158 @p12160)) % 1.61/1.84 (step @p12162 :rule cong :premises (@p12161) :args (@t6934)) % 1.61/1.84 (step @p12163 :rule refl :args (@t3289)) % 1.61/1.84 (step @p12164 :rule refl :args (@t110)) % 1.61/1.84 (step @p12165 :rule cong :premises (@p12164 @p12163) :args ((= @t110 @t3289))) % 1.61/1.84 (step @p12166 :rule symm :premises (@p12165)) % 1.61/1.84 (step @p12167 :rule eq_resolve :premises (@p12164 @p12166)) % 1.61/1.84 (step @p12168 :rule cong :premises (@p12167) :args (@t6935)) % 1.61/1.84 (step @p12169 :rule nary_cong :premises (@p12168 @p12162 @p12156 @p12155) :args (@t6936)) % 1.61/1.84 (step @p12170 :rule cong :premises (@p12169) :args ((forall @t112 @t6936))) % 1.61/1.84 (step @p12171 :rule aci_norm :args ((= (or @t6935 (or @t6934 (or @t3286 @t3282))) @t6936))) % 1.61/1.84 (step @p12172 :rule bool-and-de-morgan :args (@t3285 @t3281 true)) % 1.61/1.84 (step @p12173 :rule refl :args (@t6934)) % 1.61/1.84 (step @p12174 :rule nary_cong :premises (@p12173 @p12172) :args ((or @t6934 (not (and @t3285 @t3281))))) % 1.61/1.84 (step @p12175 :rule bool-and-de-morgan :args (@t109 @t3285 (and @t3281))) % 1.61/1.84 (step @p12176 :rule trans :premises (@p12175 @p12174)) % 1.61/1.84 (step @p12177 :rule refl :args (@t6935)) % 1.61/1.84 (step @p12178 :rule nary_cong :premises (@p12177 @p12176) :args ((or @t6935 (not (and @t109 @t3285 @t3281))))) % 1.61/1.84 (step @p12179 :rule bool-and-de-morgan :args (@t110 @t109 (and @t3285 @t3281))) % 1.61/1.84 (step @p12180 :rule trans :premises (@p12179 @p12178)) % 1.61/1.84 (step @p12181 :rule trans :premises (@p12180 @p12171)) % 1.61/1.84 (step @p12182 :rule cong :premises (@p12181) :args (@t6938)) % 1.61/1.84 (step @p12183 :rule trans :premises (@p12182 @p12170)) % 1.61/1.84 (step @p12184 :rule cong :premises (@p12183) :args (@t6939)) % 1.61/1.84 (step @p12185 :rule exists-elim :args ((= (exists @t112 @t6937) @t6939))) % 1.61/1.84 (step @p12186 :rule trans :premises (@p12185 @p12184)) % 1.61/1.84 (step @p12187 :rule aci_norm :args ((= @t6941 @t3279))) % 1.61/1.84 (step @p12188 :rule cong :premises (@p12187) :args (@t6942)) % 1.61/1.84 (step @p12189 :rule quant-merge-prenex :args ((= (forall @t102 @t6944) @t6942))) % 1.61/1.84 (step @p12190 :rule refl :args (@t3276)) % 1.61/1.84 (step @p12191 :rule alpha_equiv :args (@t6945 (@list @t3273) @t3627)) % 1.61/1.84 (step @p12192 :rule refl :args (@t3278)) % 1.61/1.84 (step @p12193 :rule nary_cong :premises (@p12192 @p12191 @p12190) :args (@t6946)) % 1.61/1.84 (step @p12194 :rule quant-miniscope-or :args ((= @t6944 @t6946))) % 1.61/1.84 (step @p12195 :rule trans :premises (@p12194 @p12193)) % 1.61/1.84 (step @p12196 :rule symm :premises (@p12195)) % 1.61/1.84 (step @p12197 :rule cong :premises (@p12196) :args ((forall @t102 (or @t3278 @t6948 @t3276)))) % 1.61/1.84 (step @p12198 :rule trans :premises (@p12197 @p12189)) % 1.61/1.84 (step @p12199 :rule trans :premises (@p12198 @p12188)) % 1.61/1.84 (step @p12200 :rule refl :args (@t3276)) % 1.61/1.84 (step @p12201 :rule refl :args (@t94)) % 1.61/1.84 (step @p12202 :rule cong :premises (@p12201 @p12200) :args ((= @t94 @t3276))) % 1.61/1.84 (step @p12203 :rule symm :premises (@p12202)) % 1.61/1.84 (step @p12204 :rule eq_resolve :premises (@p12201 @p12203)) % 1.61/1.84 (step @p12205 :rule refl :args (@t6948)) % 1.61/1.84 (step @p12206 :rule refl :args (@t3277)) % 1.61/1.84 (step @p12207 :rule refl :args (@t100)) % 1.61/1.84 (step @p12208 :rule cong :premises (@p12207 @p12206) :args ((= @t100 @t3277))) % 1.61/1.84 (step @p12209 :rule symm :premises (@p12208)) % 1.61/1.84 (step @p12210 :rule eq_resolve :premises (@p12207 @p12209)) % 1.61/1.84 (step @p12211 :rule cong :premises (@p12210) :args (@t6949)) % 1.61/1.84 (step @p12212 :rule nary_cong :premises (@p12211 @p12205 @p12204) :args (@t6950)) % 1.61/1.84 (step @p12213 :rule cong :premises (@p12212) :args ((forall @t102 @t6950))) % 1.61/1.84 (step @p12214 :rule trans :premises (@p12213 @p12199)) % 1.61/1.84 (step @p12215 :rule aci_norm :args ((= (or @t6949 @t6951) @t6950))) % 1.61/1.84 (step @p12216 :rule bool-impl-elim :args (@t100 @t6951)) % 1.61/1.84 (step @p12217 :rule trans :premises (@p12216 @p12215)) % 1.61/1.84 (step @p12218 :rule cong :premises (@p12217) :args ((forall @t102 (=> @t100 @t6951)))) % 1.61/1.84 (step @p12219 :rule trans :premises (@p12218 @p12214)) % 1.61/1.84 (step @p12220 :rule refl :args (@t94)) % 1.61/1.84 (step @p12221 :rule refl :args (@t3284)) % 1.61/1.84 (step @p12222 :rule refl :args (@t96)) % 1.61/1.84 (step @p12223 :rule cong :premises (@p12222 @p12221) :args ((= @t96 @t3284))) % 1.61/1.84 (step @p12224 :rule symm :premises (@p12223)) % 1.61/1.84 (step @p12225 :rule eq_resolve :premises (@p12222 @p12224)) % 1.61/1.84 (step @p12226 :rule refl :args (@t6947)) % 1.61/1.84 (step @p12227 :rule refl :args (@t97)) % 1.61/1.84 (step @p12228 :rule cong :premises (@p12227 @p12226) :args ((= @t97 @t6947))) % 1.61/1.84 (step @p12229 :rule symm :premises (@p12228)) % 1.61/1.84 (step @p12230 :rule eq_resolve :premises (@p12227 @p12229)) % 1.61/1.84 (step @p12231 :rule cong :premises (@p12230) :args (@t6952)) % 1.61/1.84 (step @p12232 :rule nary_cong :premises (@p12231 @p12225) :args (@t6953)) % 1.61/1.84 (step @p12233 :rule cong :premises (@p12232) :args ((forall @t70 @t6953))) % 1.61/1.84 (step @p12234 :rule bool-impl-elim :args (@t97 @t96)) % 1.61/1.84 (step @p12235 :rule cong :premises (@p12234) :args (@t98)) % 1.61/1.84 (step @p12236 :rule trans :premises (@p12235 @p12233)) % 1.61/1.84 (step @p12237 :rule nary_cong :premises (@p12236 @p12220) :args (@t99)) % 1.61/1.84 (step @p12238 :rule refl :args (@t100)) % 1.61/1.84 (step @p12239 :rule cong :premises (@p12238 @p12237) :args (@t101)) % 1.61/1.84 (step @p12240 :rule cong :premises (@p12239) :args (@t103)) % 1.61/1.84 (step @p12241 :rule trans :premises (@p12240 @p12219)) % 1.61/1.84 (step @p12242 :rule bool-double-not-elim :args (@t3285)) % 1.61/1.84 (step @p12243 :rule refl :args (@t3283)) % 1.61/1.84 (step @p12244 :rule refl :args (@t105)) % 1.61/1.84 (step @p12245 :rule cong :premises (@p12244 @p12243) :args ((= @t105 @t3283))) % 1.61/1.84 (step @p12246 :rule symm :premises (@p12245)) % 1.61/1.84 (step @p12247 :rule eq_resolve :premises (@p12244 @p12246)) % 1.61/1.84 (step @p12248 :rule cong :premises (@p12247) :args (@t6954)) % 1.61/1.84 (step @p12249 :rule cong :premises (@p12225) :args (@t6955)) % 1.61/1.84 (step @p12250 :rule nary_cong :premises (@p12249 @p12248) :args (@t6956)) % 1.61/1.84 (step @p12251 :rule cong :premises (@p12250) :args ((forall @t70 @t6956))) % 1.61/1.84 (step @p12252 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 1.61/1.84 (step @p12253 :rule cong :premises (@p12252) :args (@t6957)) % 1.61/1.84 (step @p12254 :rule trans :premises (@p12253 @p12251)) % 1.61/1.84 (step @p12255 :rule cong :premises (@p12254) :args (@t6958)) % 1.61/1.84 (step @p12256 :rule exists-elim :args ((= @t107 @t6958))) % 1.61/1.84 (step @p12257 :rule trans :premises (@p12256 @p12255)) % 1.61/1.84 (step @p12258 :rule cong :premises (@p12257) :args (@t108)) % 1.61/1.84 (step @p12259 :rule trans :premises (@p12258 @p12242)) % 1.61/1.84 (step @p12260 :rule refl :args (@t109)) % 1.61/1.84 (step @p12261 :rule refl :args (@t110)) % 1.61/1.84 (step @p12262 :rule nary_cong :premises (@p12261 @p12260 @p12259 @p12241) :args (@t111)) % 1.61/1.84 (step @p12263 :rule cong :premises (@p12262) :args (@t113)) % 1.61/1.84 (step @p12264 :rule trans :premises (@p12263 @p12186)) % 1.61/1.84 (step @p12265 :rule cong :premises (@p12162) :args (@t6959)) % 1.61/1.84 (step @p12266 :rule cong :premises (@p12265) :args (@t6960)) % 1.61/1.84 (step @p12267 :rule exists-elim :args ((= @t114 @t6960))) % 1.61/1.84 (step @p12268 :rule trans :premises (@p12267 @p12266)) % 1.61/1.84 (step @p12269 :rule nary_cong :premises (@p12162 @p882) :args (@t6961)) % 1.61/1.84 (step @p12270 :rule cong :premises (@p12269) :args ((forall @t9 @t6961))) % 1.61/1.84 (step @p12271 :rule bool-impl-elim :args (@t109 @t7)) % 1.61/1.84 (step @p12272 :rule cong :premises (@p12271) :args (@t115)) % 1.61/1.84 (step @p12273 :rule trans :premises (@p12272 @p12270)) % 1.61/1.84 (step @p12274 :rule nary_cong :premises (@p12273 @p12268) :args (@t116)) % 1.61/1.84 (step @p12275 :rule cong :premises (@p12274 @p12264) :args (@t117)) % 1.61/1.84 (step @p12276 :rule cong :premises (@p12275) :args (@t119)) % 1.61/1.84 (step @p12277 :rule trans :premises (@p12276 @p12154)) % 1.61/1.84 (step @p12278 :rule aci_norm :args ((= @t6964 @t3307))) % 1.61/1.84 (step @p12279 :rule cong :premises (@p12278) :args (@t6965)) % 1.61/1.84 (step @p12280 :rule quant-merge-prenex :args ((= (forall @t127 @t6966) @t6965))) % 1.61/1.84 (step @p12281 :rule alpha_equiv :args (@t6967 (@list @t3299) @t3992)) % 1.61/1.84 (step @p12282 :rule alpha_equiv :args (@t6968 (@list @t3302) @t3992)) % 1.61/1.84 (step @p12283 :rule refl :args (@t3290)) % 1.61/1.84 (step @p12284 :rule refl :args (@t3306)) % 1.61/1.84 (step @p12285 :rule nary_cong :premises (@p12284 @p12283 @p12282 @p12281) :args (@t6969)) % 1.61/1.84 (step @p12286 :rule quant-miniscope-or :args ((= @t6966 @t6969))) % 1.61/1.84 (step @p12287 :rule trans :premises (@p12286 @p12285)) % 1.61/1.84 (step @p12288 :rule symm :premises (@p12287)) % 1.61/1.84 (step @p12289 :rule cong :premises (@p12288) :args ((forall @t127 (or @t3306 @t3290 @t6972 @t6971)))) % 1.61/1.84 (step @p12290 :rule trans :premises (@p12289 @p12280)) % 1.61/1.84 (step @p12291 :rule trans :premises (@p12290 @p12279)) % 1.61/1.84 (step @p12292 :rule refl :args (@t6971)) % 1.61/1.84 (step @p12293 :rule refl :args (@t6972)) % 1.61/1.84 (step @p12294 :rule refl :args (@t3305)) % 1.61/1.84 (step @p12295 :rule refl :args (@t124)) % 1.61/1.84 (step @p12296 :rule cong :premises (@p12295 @p12294) :args ((= @t124 @t3305))) % 1.61/1.84 (step @p12297 :rule symm :premises (@p12296)) % 1.61/1.84 (step @p12298 :rule eq_resolve :premises (@p12295 @p12297)) % 1.61/1.84 (step @p12299 :rule cong :premises (@p12298) :args (@t6973)) % 1.61/1.84 (step @p12300 :rule nary_cong :premises (@p12299 @p12168 @p12293 @p12292) :args (@t6974)) % 1.61/1.84 (step @p12301 :rule cong :premises (@p12300) :args ((forall @t127 @t6974))) % 1.61/1.84 (step @p12302 :rule trans :premises (@p12301 @p12291)) % 1.61/1.84 (step @p12303 :rule aci_norm :args ((= (or (or @t6973 @t6935) @t6975) @t6974))) % 1.61/1.84 (step @p12304 :rule refl :args (@t6975)) % 1.61/1.84 (step @p12305 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 1.61/1.84 (step @p12306 :rule nary_cong :premises (@p12305 @p12304) :args ((or (not @t125) @t6975))) % 1.61/1.84 (step @p12307 :rule trans :premises (@p12306 @p12303)) % 1.61/1.84 (step @p12308 :rule bool-impl-elim :args (@t125 @t6975)) % 1.61/1.84 (step @p12309 :rule trans :premises (@p12308 @p12307)) % 1.61/1.84 (step @p12310 :rule cong :premises (@p12309) :args ((forall @t127 (=> @t125 @t6975)))) % 1.61/1.84 (step @p12311 :rule trans :premises (@p12310 @p12302)) % 1.61/1.84 (step @p12312 :rule refl :args (@t6970)) % 1.61/1.84 (step @p12313 :rule refl :args (@t120)) % 1.61/1.84 (step @p12314 :rule cong :premises (@p12313 @p12312) :args ((= @t120 @t6970))) % 1.61/1.84 (step @p12315 :rule symm :premises (@p12314)) % 1.61/1.84 (step @p12316 :rule eq_resolve :premises (@p12313 @p12315)) % 1.61/1.84 (step @p12317 :rule cong :premises (@p12316) :args (@t6976)) % 1.61/1.84 (step @p12318 :rule nary_cong :premises (@p12317 @p12161) :args (@t6977)) % 1.61/1.84 (step @p12319 :rule cong :premises (@p12318) :args ((forall @t9 @t6977))) % 1.61/1.84 (step @p12320 :rule bool-impl-elim :args (@t120 @t109)) % 1.61/1.84 (step @p12321 :rule cong :premises (@p12320) :args (@t121)) % 1.61/1.84 (step @p12322 :rule trans :premises (@p12321 @p12319)) % 1.61/1.84 (step @p12323 :rule nary_cong :premises (@p12162 @p12316) :args (@t6978)) % 1.61/1.84 (step @p12324 :rule cong :premises (@p12323) :args ((forall @t9 @t6978))) % 1.61/1.84 (step @p12325 :rule bool-impl-elim :args (@t109 @t120)) % 1.61/1.84 (step @p12326 :rule cong :premises (@p12325) :args (@t122)) % 1.61/1.84 (step @p12327 :rule trans :premises (@p12326 @p12324)) % 1.61/1.84 (step @p12328 :rule nary_cong :premises (@p12327 @p12322) :args (@t123)) % 1.61/1.84 (step @p12329 :rule refl :args (@t125)) % 1.61/1.84 (step @p12330 :rule cong :premises (@p12329 @p12328) :args (@t126)) % 1.61/1.84 (step @p12331 :rule cong :premises (@p12330) :args (@t128)) % 1.61/1.84 (step @p12332 :rule trans :premises (@p12331 @p12311)) % 1.61/1.84 (step @p12333 :rule refl :args (@t3312)) % 1.61/1.84 (step @p12334 :rule nary_cong :premises (@p883 @p930 @p12333 @p7069) :args (@t6979)) % 1.61/1.84 (step @p12335 :rule cong :premises (@p12334) :args ((forall @t135 @t6979))) % 1.61/1.84 (step @p12336 :rule aci_norm :args ((= (or (or @t197 @t3636) (or @t3312 @t129)) @t6979))) % 1.61/1.84 (step @p12337 :rule bool-impl-elim :args (@t3311 @t129)) % 1.61/1.84 (step @p12338 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 1.61/1.84 (step @p12339 :rule nary_cong :premises (@p12338 @p12337) :args ((or (not @t133) @t6980))) % 1.61/1.84 (step @p12340 :rule trans :premises (@p12339 @p12336)) % 1.61/1.84 (step @p12341 :rule bool-impl-elim :args (@t133 @t6980)) % 1.61/1.84 (step @p12342 :rule trans :premises (@p12341 @p12340)) % 1.61/1.84 (step @p12343 :rule cong :premises (@p12342) :args ((forall @t135 (=> @t133 @t6980)))) % 1.61/1.84 (step @p12344 :rule trans :premises (@p12343 @p12335)) % 1.61/1.84 (step @p12345 :rule cong :premises (@p12161 @p12247) :args (@t130)) % 1.61/1.84 (step @p12346 :rule nary_cong :premises (@p12299 @p12345) :args (@t6981)) % 1.61/1.84 (step @p12347 :rule cong :premises (@p12346) :args ((forall @t118 @t6981))) % 1.61/1.84 (step @p12348 :rule bool-impl-elim :args (@t124 @t130)) % 1.61/1.84 (step @p12349 :rule cong :premises (@p12348) :args (@t131)) % 1.61/1.84 (step @p12350 :rule trans :premises (@p12349 @p12347)) % 1.61/1.84 (step @p12351 :rule cong :premises (@p12350 @p8200) :args (@t132)) % 1.61/1.84 (step @p12352 :rule refl :args (@t133)) % 1.61/1.84 (step @p12353 :rule cong :premises (@p12352 @p12351) :args (@t134)) % 1.61/1.84 (step @p12354 :rule cong :premises (@p12353) :args (@t136)) % 1.61/1.84 (step @p12355 :rule trans :premises (@p12354 @p12344)) % 1.61/1.84 (step @p12356 :rule aci_norm :args ((= @t6983 @t3318))) % 1.61/1.84 (step @p12357 :rule cong :premises (@p12356) :args (@t6984)) % 1.61/1.84 (step @p12358 :rule quant-merge-prenex :args ((= (forall @t118 @t6986) @t6984))) % 1.61/1.84 (step @p12359 :rule alpha_equiv :args (@t6987 (@list @t3315) @t3992)) % 1.61/1.84 (step @p12360 :rule nary_cong :premises (@p12284 @p12359) :args (@t6988)) % 1.61/1.84 (step @p12361 :rule quant-miniscope-or :args ((= @t6986 @t6988))) % 1.61/1.84 (step @p12362 :rule trans :premises (@p12361 @p12360)) % 1.61/1.84 (step @p12363 :rule symm :premises (@p12362)) % 1.61/1.84 (step @p12364 :rule cong :premises (@p12363) :args ((forall @t118 (or @t3306 @t3294)))) % 1.61/1.84 (step @p12365 :rule trans :premises (@p12364 @p12358)) % 1.61/1.84 (step @p12366 :rule trans :premises (@p12365 @p12357)) % 1.61/1.84 (step @p12367 :rule refl :args (@t3294)) % 1.61/1.84 (step @p12368 :rule nary_cong :premises (@p12299 @p12367) :args (@t6989)) % 1.61/1.84 (step @p12369 :rule cong :premises (@p12368) :args ((forall @t118 @t6989))) % 1.61/1.84 (step @p12370 :rule trans :premises (@p12369 @p12366)) % 1.61/1.84 (step @p12371 :rule bool-impl-elim :args (@t124 @t3294)) % 1.61/1.84 (step @p12372 :rule cong :premises (@p12371) :args ((forall @t118 (=> @t124 @t3294)))) % 1.61/1.84 (step @p12373 :rule trans :premises (@p12372 @p12370)) % 1.61/1.84 (step @p12374 :rule refl :args (@t124)) % 1.61/1.84 (step @p12375 :rule cong :premises (@p12374 @p12273) :args (@t137)) % 1.61/1.84 (step @p12376 :rule cong :premises (@p12375) :args (@t138)) % 1.61/1.84 (step @p12377 :rule trans :premises (@p12376 @p12373)) % 1.61/1.84 (step @p12378 :rule nary_cong :premises (@p12377 @p12355 @p12332 @p12277) :args (@t139)) % 1.61/1.84 (step @p12379 :rule cong :premises (@p12378) :args (@t140)) % 1.61/1.84 (step @p12380 :rule trans :premises (@p12379 @p12133)) % 1.61/1.84 (step @p12381 :rule cong :premises (@p12380) :args (@t141)) % 1.61/1.84 (step @p12382 :rule refl :args (tptp.wellorderingAx)) % 1.61/1.84 (step @p12383 :rule cong :premises (@p12382 @p12381) :args (@t142)) % 1.61/1.84 (step @p12384 :rule eq_resolve :premises (@p11 @p12383)) % 1.61/1.84 (step @p12385 :rule cong :premises (@p12384 @p12118) :args (@t6990)) % 1.61/1.84 (step @p12386 :rule quant-merge-prenex :args ((= (forall @t64 @t6992) @t3331))) % 1.61/1.84 (step @p12387 :rule refl :args (@t3327)) % 1.61/1.84 (step @p12388 :rule alpha_equiv :args (@t6993 (@list @t3328) @t3992)) % 1.61/1.84 (step @p12389 :rule nary_cong :premises (@p12388 @p12387) :args (@t6994)) % 1.61/1.84 (step @p12390 :rule quant-miniscope-or :args ((= @t6992 @t6994))) % 1.61/1.84 (step @p12391 :rule trans :premises (@p12390 @p12389)) % 1.61/1.84 (step @p12392 :rule symm :premises (@p12391)) % 1.61/1.84 (step @p12393 :rule cong :premises (@p12392) :args ((forall @t64 (or @t3177 @t3327)))) % 1.61/1.84 (step @p12394 :rule trans :premises (@p12393 @p12386)) % 1.61/1.84 (step @p12395 :rule nary_cong :premises (@p11765 @p12387) :args ((or @t6832 @t3327))) % 1.61/1.84 (step @p12396 :rule bool-impl-elim :args (@t3178 @t3327)) % 1.61/1.84 (step @p12397 :rule trans :premises (@p12396 @p12395)) % 1.61/1.84 (step @p12398 :rule cong :premises (@p12397) :args ((forall @t64 (=> @t3178 @t3327)))) % 1.61/1.84 (step @p12399 :rule trans :premises (@p12398 @p12394)) % 1.61/1.84 (step @p12400 :rule refl :args (@t3326)) % 1.61/1.84 (step @p12401 :rule nary_cong :premises (@p11504 @p12400) :args (@t6995)) % 1.61/1.84 (step @p12402 :rule cong :premises (@p12401) :args ((forall @t41 @t6995))) % 1.61/1.84 (step @p12403 :rule bool-and-de-morgan :args (@t39 @t3325 true)) % 1.61/1.84 (step @p12404 :rule cong :premises (@p12403) :args (@t6997)) % 1.61/1.84 (step @p12405 :rule trans :premises (@p12404 @p12402)) % 1.61/1.84 (step @p12406 :rule cong :premises (@p12405) :args (@t6998)) % 1.61/1.84 (step @p12407 :rule exists-elim :args ((= (exists @t41 @t6996) @t6998))) % 1.61/1.84 (step @p12408 :rule trans :premises (@p12407 @p12406)) % 1.61/1.84 (step @p12409 :rule bool-double-not-elim :args (@t3325)) % 1.61/1.84 (step @p12410 :rule nary_cong :premises (@p9199 @p883) :args (@t6999)) % 1.61/1.84 (step @p12411 :rule cong :premises (@p12410) :args ((forall @t9 @t6999))) % 1.61/1.84 (step @p12412 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 1.61/1.84 (step @p12413 :rule cong :premises (@p12412) :args (@t7000)) % 1.61/1.84 (step @p12414 :rule trans :premises (@p12413 @p12411)) % 1.61/1.84 (step @p12415 :rule cong :premises (@p12414) :args (@t7001)) % 1.61/1.84 (step @p12416 :rule exists-elim :args ((= @t85 @t7001))) % 1.61/1.84 (step @p12417 :rule trans :premises (@p12416 @p12415)) % 1.61/1.84 (step @p12418 :rule cong :premises (@p12417) :args (@t86)) % 1.61/1.84 (step @p12419 :rule trans :premises (@p12418 @p12409)) % 1.61/1.84 (step @p12420 :rule refl :args (@t39)) % 1.61/1.84 (step @p12421 :rule nary_cong :premises (@p12420 @p12419) :args (@t87)) % 1.61/1.84 (step @p12422 :rule cong :premises (@p12421) :args (@t88)) % 1.61/1.84 (step @p12423 :rule trans :premises (@p12422 @p12408)) % 1.61/1.84 (step @p12424 :rule cong :premises (@p11390 @p12423) :args (@t90)) % 1.61/1.84 (step @p12425 :rule cong :premises (@p12424) :args (@t91)) % 1.61/1.84 (step @p12426 :rule trans :premises (@p12425 @p12399)) % 1.61/1.84 (step @p12427 :rule refl :args (tptp.foundationAx)) % 1.61/1.84 (step @p12428 :rule cong :premises (@p12427 @p12426) :args (@t92)) % 1.61/1.84 (step @p12429 :rule eq_resolve :premises (@p10 @p12428)) % 1.61/1.84 (step @p12430 :rule cong :premises (@p12429 @p12385) :args (@t7002)) % 1.61/1.84 (step @p12431 :rule bool-impl-elim :args (@t3343 @t3336)) % 1.61/1.84 (step @p12432 :rule cong :premises (@p12431) :args ((forall @t81 (=> @t3343 @t3336)))) % 1.61/1.84 (step @p12433 :rule exists-elim :args ((= (exists @t41 @t3335) @t3336))) % 1.61/1.84 (step @p12434 :rule refl :args (@t3334)) % 1.61/1.84 (step @p12435 :rule cong :premises (@p9176 @p12434) :args (@t7003)) % 1.61/1.84 (step @p12436 :rule cong :premises (@p12435) :args ((forall @t9 @t7003))) % 1.61/1.84 (step @p12437 :rule refl :args (@t3333)) % 1.61/1.84 (step @p12438 :rule refl :args (@t68)) % 1.61/1.84 (step @p12439 :rule cong :premises (@p12438 @p12437) :args ((= @t68 @t3333))) % 1.61/1.84 (step @p12440 :rule symm :premises (@p12439)) % 1.61/1.84 (step @p12441 :rule eq_resolve :premises (@p12438 @p12440)) % 1.61/1.84 (step @p12442 :rule cong :premises (@p12441) :args (@t7004)) % 1.61/1.84 (step @p12443 :rule nary_cong :premises (@p930 @p12442) :args (@t7005)) % 1.61/1.84 (step @p12444 :rule cong :premises (@p12443) :args ((forall @t70 @t7005))) % 1.61/1.84 (step @p12445 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 1.61/1.84 (step @p12446 :rule cong :premises (@p12445) :args (@t7006)) % 1.61/1.84 (step @p12447 :rule trans :premises (@p12446 @p12444)) % 1.61/1.84 (step @p12448 :rule cong :premises (@p12447) :args (@t7007)) % 1.61/1.84 (step @p12449 :rule exists-elim :args ((= @t71 @t7007))) % 1.61/1.84 (step @p12450 :rule trans :premises (@p12449 @p12448)) % 1.61/1.84 (step @p12451 :rule refl :args (@t6)) % 1.61/1.84 (step @p12452 :rule cong :premises (@p12451 @p12450) :args (@t72)) % 1.61/1.84 (step @p12453 :rule cong :premises (@p12452) :args (@t73)) % 1.61/1.84 (step @p12454 :rule trans :premises (@p12453 @p12436)) % 1.61/1.84 (step @p12455 :rule cong :premises (@p12454) :args (@t74)) % 1.61/1.84 (step @p12456 :rule trans :premises (@p12455 @p12433)) % 1.61/1.84 (step @p12457 :rule refl :args (@t3342)) % 1.61/1.84 (step @p12458 :rule nary_cong :premises (@p883 @p12457) :args (@t7008)) % 1.61/1.84 (step @p12459 :rule cong :premises (@p12458) :args ((forall @t9 @t7008))) % 1.61/1.84 (step @p12460 :rule bool-impl-elim :args (@t7 @t3342)) % 1.61/1.84 (step @p12461 :rule cong :premises (@p12460) :args ((forall @t9 (=> @t7 @t3342)))) % 1.61/1.84 (step @p12462 :rule trans :premises (@p12461 @p12459)) % 1.61/1.84 (step @p12463 :rule refl :args (@t3339)) % 1.61/1.84 (step @p12464 :rule refl :args (@t3340)) % 1.61/1.84 (step @p12465 :rule refl :args (@t7009)) % 1.61/1.84 (step @p12466 :rule cong :premises (@p12465 @p12464) :args ((= @t7009 @t3340))) % 1.61/1.84 (step @p12467 :rule symm :premises (@p12466)) % 1.61/1.84 (step @p12468 :rule eq_resolve :premises (@p12465 @p12467)) % 1.61/1.84 (step @p12469 :rule cong :premises (@p12468) :args (@t7010)) % 1.61/1.84 (step @p12470 :rule nary_cong :premises (@p12469 @p12463) :args (@t7011)) % 1.61/1.84 (step @p12471 :rule cong :premises (@p12470) :args ((forall @t3341 @t7011))) % 1.61/1.84 (step @p12472 :rule refl :args (@t3338)) % 1.61/1.84 (step @p12473 :rule nary_cong :premises (@p2083 @p12472) :args (@t7012)) % 1.61/1.84 (step @p12474 :rule cong :premises (@p12473) :args ((forall @t70 @t7012))) % 1.61/1.84 (step @p12475 :rule refl :args (@t3338)) % 1.61/1.84 (step @p12476 :rule beta-reduce :args ((= @t7013 @t76))) % 1.61/1.84 (step @p12477 :rule cong :premises (@p12476) :args (@t7014)) % 1.61/1.84 (step @p12478 :rule nary_cong :premises (@p12477 @p12475) :args (@t7015)) % 1.61/1.84 (step @p12479 :rule cong :premises (@p12478) :args (@t7016)) % 1.61/1.84 (step @p12480 :rule trans :premises (@p12479 @p12474)) % 1.61/1.84 (step @p12481 :rule cong :premises (@p12480) :args (@t7017)) % 1.61/1.84 (step @p12482 :rule beta-reduce :args ((= @t7018 @t7009))) % 1.61/1.84 (step @p12483 :rule cong :premises (@p12482) :args (@t7019)) % 1.61/1.84 (step @p12484 :rule nary_cong :premises (@p12483 @p12481) :args (@t7020)) % 1.61/1.84 (step @p12485 :rule cong :premises (@p12484) :args (@t7021)) % 1.61/1.84 (step @p12486 :rule trans :premises (@p12485 @p12471)) % 1.61/1.84 (step @p12487 :rule cong :premises (@p12486) :args (@t7022)) % 1.61/1.84 (step @p12488 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t3341 (or @t7023 (not (forall @t70 (or @t2887 @t3338))))))) @t77) @t7022))) % 1.61/1.84 (step @p12489 :rule trans :premises (@p12488 @p12487)) % 1.61/1.84 (step @p12490 :rule refl :args (@t77)) % 1.61/1.84 (step @p12491 :rule eq-symm :args (@t3337 @t19)) % 1.61/1.84 (step @p12492 :rule nary_cong :premises (@p10411 @p12491) :args (@t7024)) % 1.61/1.84 (step @p12493 :rule cong :premises (@p12492) :args (@t7025)) % 1.61/1.84 (step @p12494 :rule cong :premises (@p12493) :args (@t7026)) % 1.61/1.84 (step @p12495 :rule refl :args (@t7023)) % 1.61/1.84 (step @p12496 :rule nary_cong :premises (@p12495 @p12494) :args (@t7027)) % 1.61/1.84 (step @p12497 :rule cong :premises (@p12496) :args (@t7028)) % 1.61/1.84 (step @p12498 :rule cong :premises (@p12497) :args (@t7029)) % 1.61/1.84 (step @p12499 :rule cong :premises (@p12498) :args ((lambda @t150 @t7029))) % 1.61/1.84 (step @p12500 :rule ho_cong :premises (@p12499 @p12490)) % 1.61/1.84 (step @p12501 :rule trans :premises (@p12500 @p12489)) % 1.61/1.84 (step @p12502 :rule refl :args (@t77)) % 1.61/1.84 (step @p12503 :rule alpha_equiv :args (@t3129 @t3992 (@list @t3337))) % 1.61/1.84 (step @p12504 :rule cong :premises (@p12503) :args (@t3130)) % 1.61/1.84 (step @p12505 :rule cong :premises (@p12504) :args (@t6511)) % 1.61/1.84 (step @p12506 :rule ho_cong :premises (@p12505 @p12502)) % 1.61/1.84 (step @p12507 :rule trans :premises (@p12506 @p12501)) % 1.61/1.84 (step @p12508 :rule cong :premises (@p942 @p12507) :args (@t7030)) % 1.61/1.84 (step @p12509 :rule cong :premises (@p12508) :args (@t7031)) % 1.61/1.84 (step @p12510 :rule trans :premises (@p12509 @p12462)) % 1.61/1.84 (step @p12511 :rule cong :premises (@p12510 @p12456) :args (@t7032)) % 1.61/1.84 (step @p12512 :rule cong :premises (@p12511) :args (@t7033)) % 1.61/1.84 (step @p12513 :rule trans :premises (@p12512 @p12432)) % 1.61/1.84 (step @p12514 :rule refl :args (tptp.replAx)) % 1.61/1.84 (step @p12515 :rule cong :premises (@p12514 @p12513) :args ((= tptp.replAx @t7033))) % 1.61/1.84 (step @p12516 :rule refl :args (@t74)) % 1.61/1.84 (step @p12517 :rule ho_cong :premises (@p10571 @p12490)) % 1.61/1.84 (step @p12518 :rule cong :premises (@p942 @p12517) :args (@t78)) % 1.61/1.84 (step @p12519 :rule cong :premises (@p12518) :args (@t79)) % 1.61/1.84 (step @p12520 :rule cong :premises (@p12519 @p12516) :args (@t80)) % 1.61/1.84 (step @p12521 :rule cong :premises (@p12520) :args (@t82)) % 1.61/1.84 (step @p12522 :rule cong :premises (@p12514 @p12521) :args (@t83)) % 1.61/1.84 (step @p12523 :rule trans :premises (@p12522 @p12515)) % 1.61/1.84 (step @p12524 :rule eq_resolve :premises (@p9 @p12523)) % 1.61/1.84 (step @p12525 :rule cong :premises (@p12524 @p12430) :args (@t7034)) % 1.61/1.84 (step @p12526 :rule aci_norm :args ((= @t7036 @t3357))) % 1.61/1.84 (step @p12527 :rule cong :premises (@p12526) :args (@t7037)) % 1.61/1.84 (step @p12528 :rule quant-merge-prenex :args ((= (forall @t64 @t7039) @t7037))) % 1.61/1.84 (step @p12529 :rule alpha_equiv :args (@t7040 (@list @t3346) @t3992)) % 1.61/1.84 (step @p12530 :rule refl :args (@t3354)) % 1.61/1.84 (step @p12531 :rule refl :args (@t3356)) % 1.61/1.84 (step @p12532 :rule nary_cong :premises (@p12531 @p12530 @p12529) :args (@t7041)) % 1.61/1.84 (step @p12533 :rule quant-miniscope-or :args ((= @t7039 @t7041))) % 1.61/1.84 (step @p12534 :rule trans :premises (@p12533 @p12532)) % 1.61/1.84 (step @p12535 :rule symm :premises (@p12534)) % 1.61/1.84 (step @p12536 :rule cong :premises (@p12535) :args ((forall @t64 (or @t3356 @t3354 @t7042)))) % 1.61/1.84 (step @p12537 :rule trans :premises (@p12536 @p12528)) % 1.61/1.84 (step @p12538 :rule trans :premises (@p12537 @p12527)) % 1.61/1.84 (step @p12539 :rule refl :args (@t7042)) % 1.61/1.84 (step @p12540 :rule refl :args (@t3355)) % 1.61/1.84 (step @p12541 :rule refl :args (@t61)) % 1.61/1.84 (step @p12542 :rule cong :premises (@p12541 @p12540) :args ((= @t61 @t3355))) % 1.61/1.84 (step @p12543 :rule symm :premises (@p12542)) % 1.61/1.84 (step @p12544 :rule eq_resolve :premises (@p12541 @p12543)) % 1.61/1.84 (step @p12545 :rule cong :premises (@p12544) :args (@t7043)) % 1.61/1.84 (step @p12546 :rule nary_cong :premises (@p12545 @p12530 @p12539) :args (@t7044)) % 1.61/1.84 (step @p12547 :rule cong :premises (@p12546) :args ((forall @t64 @t7044))) % 1.61/1.84 (step @p12548 :rule trans :premises (@p12547 @p12538)) % 1.61/1.84 (step @p12549 :rule aci_norm :args ((= (or (or @t7043 @t3354) @t7042) @t7044))) % 1.61/1.84 (step @p12550 :rule bool-and-de-morgan :args (@t61 @t3353 true)) % 1.61/1.84 (step @p12551 :rule nary_cong :premises (@p12550 @p12539) :args ((or (not @t7045) @t7042))) % 1.61/1.84 (step @p12552 :rule trans :premises (@p12551 @p12549)) % 1.61/1.84 (step @p12553 :rule bool-impl-elim :args (@t7045 @t7042)) % 1.61/1.84 (step @p12554 :rule trans :premises (@p12553 @p12552)) % 1.61/1.84 (step @p12555 :rule cong :premises (@p12554) :args ((forall @t64 (=> @t7045 @t7042)))) % 1.61/1.84 (step @p12556 :rule trans :premises (@p12555 @p12548)) % 1.61/1.84 (step @p12557 :rule refl :args (@t3351)) % 1.61/1.84 (step @p12558 :rule refl :args (@t54)) % 1.61/1.84 (step @p12559 :rule cong :premises (@p12558 @p12557) :args ((= @t54 @t3351))) % 1.61/1.84 (step @p12560 :rule symm :premises (@p12559)) % 1.61/1.84 (step @p12561 :rule eq_resolve :premises (@p12558 @p12560)) % 1.61/1.84 (step @p12562 :rule cong :premises (@p12561) :args (@t7046)) % 1.61/1.84 (step @p12563 :rule nary_cong :premises (@p12562 @p882) :args (@t7047)) % 1.61/1.84 (step @p12564 :rule cong :premises (@p12563) :args ((forall @t9 @t7047))) % 1.61/1.84 (step @p12565 :rule bool-impl-elim :args (@t54 @t7)) % 1.61/1.84 (step @p12566 :rule cong :premises (@p12565) :args (@t57)) % 1.61/1.84 (step @p12567 :rule trans :premises (@p12566 @p12564)) % 1.61/1.84 (step @p12568 :rule refl :args ((tptp.in @t51 @t2))) % 1.61/1.84 (step @p12569 :rule refl :args (@t3349)) % 1.61/1.84 (step @p12570 :rule cong :premises (@p12569 @p1066) :args (@t3350)) % 1.61/1.84 (step @p12571 :rule trans :premises (@p12570 @p12568)) % 1.61/1.84 (step @p12572 :rule ho_cong :premises (@p895 @p12569)) % 1.61/1.84 (step @p12573 :rule ho_cong :premises (@p12572 @p1066)) % 1.61/1.84 (step @p12574 :rule cong :premises (@p12573 @p12571) :args ((= (_ @t7048 @t2) @t3350))) % 1.61/1.84 (step @p12575 :rule symm :premises (@p12574)) % 1.61/1.84 (step @p12576 :rule refl :args (@t58)) % 1.61/1.84 (step @p12577 :rule eq_resolve :premises (@p12576 @p12575)) % 1.61/1.84 (step @p12578 :rule refl :args (@t51)) % 1.61/1.84 (step @p12579 :rule cong :premises (@p12578 @p12569) :args ((= @t51 @t3349))) % 1.61/1.84 (step @p12580 :rule symm :premises (@p12579)) % 1.61/1.84 (step @p12581 :rule eq_resolve :premises (@p12578 @p12580)) % 1.61/1.84 (step @p12582 :rule ho_cong :premises (@p895 @p12581)) % 1.61/1.84 (step @p12583 :rule ho_cong :premises (@p12582 @p1066)) % 1.61/1.84 (step @p12584 :rule trans :premises (@p12583 @p12577)) % 1.61/1.84 (step @p12585 :rule nary_cong :premises (@p12562 @p883 @p12584) :args (@t7049)) % 1.61/1.84 (step @p12586 :rule cong :premises (@p12585) :args ((forall @t9 @t7049))) % 1.61/1.84 (step @p12587 :rule aci_norm :args ((= (or (or @t7046 @t197) @t58) @t7049))) % 1.61/1.84 (step @p12588 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 1.61/1.84 (step @p12589 :rule nary_cong :premises (@p12588 @p12576) :args ((or (not @t59) @t58))) % 1.61/1.84 (step @p12590 :rule trans :premises (@p12589 @p12587)) % 1.61/1.84 (step @p12591 :rule bool-impl-elim :args (@t59 @t58)) % 1.61/1.84 (step @p12592 :rule trans :premises (@p12591 @p12590)) % 1.61/1.84 (step @p12593 :rule cong :premises (@p12592) :args (@t60)) % 1.61/1.84 (step @p12594 :rule trans :premises (@p12593 @p12586)) % 1.61/1.84 (step @p12595 :rule refl :args (@t61)) % 1.61/1.84 (step @p12596 :rule nary_cong :premises (@p12595 @p12594) :args (@t62)) % 1.61/1.84 (step @p12597 :rule cong :premises (@p12596 @p12567) :args (@t63)) % 1.61/1.84 (step @p12598 :rule cong :premises (@p12597) :args (@t65)) % 1.61/1.84 (step @p12599 :rule trans :premises (@p12598 @p12556)) % 1.61/1.84 (step @p12600 :rule refl :args (tptp.omegaIndAx)) % 1.61/1.84 (step @p12601 :rule cong :premises (@p12600 @p12599) :args (@t66)) % 1.61/1.84 (step @p12602 :rule eq_resolve :premises (@p8 @p12601)) % 1.61/1.84 (step @p12603 :rule cong :premises (@p12602 @p12525) :args (@t7050)) % 1.61/1.84 (step @p12604 :rule refl :args ((tptp.in @t51 tptp.omega))) % 1.61/1.84 (step @p12605 :rule refl :args (tptp.omega)) % 1.61/1.84 (step @p12606 :rule cong :premises (@p12569 @p12605) :args (@t3361)) % 1.61/1.84 (step @p12607 :rule trans :premises (@p12606 @p12604)) % 1.61/1.84 (step @p12608 :rule ho_cong :premises (@p12572 @p12605)) % 1.61/1.84 (step @p12609 :rule cong :premises (@p12608 @p12607) :args ((= (_ @t7048 tptp.omega) @t3361))) % 1.61/1.84 (step @p12610 :rule symm :premises (@p12609)) % 1.61/1.84 (step @p12611 :rule refl :args (@t53)) % 1.61/1.84 (step @p12612 :rule eq_resolve :premises (@p12611 @p12610)) % 1.61/1.84 (step @p12613 :rule ho_cong :premises (@p12582 @p12605)) % 1.61/1.84 (step @p12614 :rule trans :premises (@p12613 @p12612)) % 1.61/1.84 (step @p12615 :rule nary_cong :premises (@p12562 @p12614) :args (@t7051)) % 1.61/1.84 (step @p12616 :rule cong :premises (@p12615) :args ((forall @t9 @t7051))) % 1.61/1.84 (step @p12617 :rule bool-impl-elim :args (@t54 @t53)) % 1.61/1.84 (step @p12618 :rule cong :premises (@p12617) :args (@t55)) % 1.61/1.84 (step @p12619 :rule trans :premises (@p12618 @p12616)) % 1.61/1.84 (step @p12620 :rule refl :args (tptp.omegaSAx)) % 1.61/1.84 (step @p12621 :rule cong :premises (@p12620 @p12619) :args (@t56)) % 1.61/1.84 (step @p12622 :rule eq_resolve :premises (@p7 @p12621)) % 1.61/1.84 (step @p12623 :rule cong :premises (@p12622 @p12603) :args (@t7052)) % 1.61/1.84 (step @p12624 :rule cong :premises (@p6 @p12623) :args (@t7053)) % 1.61/1.84 (step @p12625 :rule eq-symm :args (@t2915 @t3196)) % 1.61/1.84 (step @p12626 :rule cong :premises (@p12625) :args ((forall @t46 (= @t2915 @t3196)))) % 1.61/1.84 (step @p12627 :rule cong :premises (@p8623 @p11473) :args (@t7054)) % 1.61/1.84 (step @p12628 :rule cong :premises (@p12627) :args ((forall @t46 @t7054))) % 1.61/1.84 (step @p12629 :rule trans :premises (@p12628 @p12626)) % 1.61/1.84 (step @p12630 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 1.61/1.84 (step @p12631 :rule cong :premises (@p12630) :args (@t7055)) % 1.61/1.84 (step @p12632 :rule trans :premises (@p12631 @p11506)) % 1.61/1.84 (step @p12633 :rule cong :premises (@p12632) :args (@t7056)) % 1.61/1.84 (step @p12634 :rule exists-elim :args ((= @t42 @t7056))) % 1.61/1.84 (step @p12635 :rule trans :premises (@p12634 @p12633)) % 1.61/1.84 (step @p12636 :rule cong :premises (@p8644 @p12635) :args (@t45)) % 1.61/1.84 (step @p12637 :rule cong :premises (@p12636) :args (@t47)) % 1.61/1.84 (step @p12638 :rule trans :premises (@p12637 @p12629)) % 1.61/1.84 (step @p12639 :rule refl :args (tptp.setunionAx)) % 1.61/1.84 (step @p12640 :rule cong :premises (@p12639 @p12638) :args (@t48)) % 1.61/1.84 (step @p12641 :rule eq_resolve :premises (@p5 @p12640)) % 1.61/1.84 (step @p12642 :rule cong :premises (@p12641 @p12624) :args (@t7057)) % 1.61/1.84 (step @p12643 :rule eq-symm :args (@t3060 @t3207)) % 1.61/1.84 (step @p12644 :rule cong :premises (@p12643) :args ((forall @t12 (= @t3060 @t3207)))) % 1.61/1.84 (step @p12645 :rule refl :args (@t3207)) % 1.61/1.84 (step @p12646 :rule cong :premises (@p9938 @p12645) :args (@t7058)) % 1.61/1.84 (step @p12647 :rule cong :premises (@p12646) :args ((forall @t12 @t7058))) % 1.61/1.84 (step @p12648 :rule trans :premises (@p12647 @p12644)) % 1.61/1.84 (step @p12649 :rule cong :premises (@p11590 @p11594) :args (@t36)) % 1.61/1.84 (step @p12650 :rule cong :premises (@p12649) :args (@t37)) % 1.61/1.84 (step @p12651 :rule trans :premises (@p12650 @p12648)) % 1.61/1.84 (step @p12652 :rule refl :args (tptp.powersetAx)) % 1.61/1.84 (step @p12653 :rule cong :premises (@p12652 @p12651) :args (@t38)) % 1.61/1.84 (step @p12654 :rule eq_resolve :premises (@p4 @p12653)) % 1.61/1.84 (step @p12655 :rule cong :premises (@p12654 @p12642) :args (@t7059)) % 1.61/1.84 (step @p12656 :rule nary_cong :premises (@p7069 @p929) :args (@t6801)) % 1.61/1.84 (step @p12657 :rule cong :premises (@p11635 @p12656) :args (@t7060)) % 1.61/1.84 (step @p12658 :rule cong :premises (@p12657) :args ((forall @t28 @t7060))) % 1.61/1.84 (step @p12659 :rule cong :premises (@p11645 @p11644) :args (@t27)) % 1.61/1.84 (step @p12660 :rule cong :premises (@p12659) :args (@t29)) % 1.61/1.84 (step @p12661 :rule trans :premises (@p12660 @p12658)) % 1.61/1.84 (step @p12662 :rule refl :args (tptp.setadjoinAx)) % 1.61/1.84 (step @p12663 :rule cong :premises (@p12662 @p12661) :args (@t30)) % 1.61/1.84 (step @p12664 :rule eq_resolve :premises (@p3 @p12663)) % 1.61/1.84 (step @p12665 :rule cong :premises (@p12664 @p12655) :args (@t7061)) % 1.61/1.84 (step @p12666 :rule refl :args (tptp.emptysetAx)) % 1.61/1.84 (step @p12667 :rule cong :premises (@p12666 @p11942) :args (@t18)) % 1.61/1.84 (step @p12668 :rule eq_resolve :premises (@p2 @p12667)) % 1.61/1.84 (step @p12669 :rule cong :premises (@p12668 @p12665) :args (@t7062)) % 1.61/1.84 (step @p12670 :rule bool-impl-elim :args (@t3374 @t3)) % 1.61/1.84 (step @p12671 :rule cong :premises (@p12670) :args ((forall @t12 (=> @t3374 @t3)))) % 1.61/1.84 (step @p12672 :rule cong :premises (@p882 @p9176) :args (@t8)) % 1.61/1.84 (step @p12673 :rule cong :premises (@p12672) :args (@t10)) % 1.61/1.84 (step @p12674 :rule cong :premises (@p12673 @p10396) :args (@t11)) % 1.61/1.84 (step @p12675 :rule cong :premises (@p12674) :args (@t13)) % 1.61/1.84 (step @p12676 :rule trans :premises (@p12675 @p12671)) % 1.61/1.84 (step @p12677 :rule refl :args (tptp.setextAx)) % 1.61/1.84 (step @p12678 :rule cong :premises (@p12677 @p12676) :args (@t14)) % 1.61/1.84 (step @p12679 :rule eq_resolve :premises (@p1 @p12678)) % 1.61/1.84 (step @p12680 :rule cong :premises (@p12679 @p12669) :args (@t7063)) % 1.61/1.84 (step @p12681 :rule cong :premises (@p12680) :args ((not @t7063))) % 1.61/1.84 (step @p12682 :rule trans :premises (@p12681 @p813)) % 1.61/1.84 (step @p12683 :rule aci_norm :args ((= @t7065 @t2039))) % 1.61/1.84 (step @p12684 :rule cong :premises (@p12683) :args (@t7066)) % 1.61/1.84 (step @p12685 :rule quant-merge-prenex :args ((= (forall @t1560 @t7068) @t7066))) % 1.61/1.84 (step @p12686 :rule alpha_equiv :args (@t7069 (@list @t2028 @t2030 @t2029) (@list @t993 @t7071 @t7070))) % 1.61/1.84 (step @p12687 :rule nary_cong :premises (@p819 @p12686) :args (@t7072)) % 1.61/1.84 (step @p12688 :rule quant-miniscope-or :args ((= @t7068 @t7072))) % 1.61/1.84 (step @p12689 :rule trans :premises (@p12688 @p12687)) % 1.61/1.84 (step @p12690 :rule symm :premises (@p12689)) % 1.61/1.84 (step @p12691 :rule cong :premises (@p12690) :args ((forall @t1560 (or @t2038 @t7080)))) % 1.61/1.84 (step @p12692 :rule trans :premises (@p12691 @p12685)) % 1.61/1.84 (step @p12693 :rule trans :premises (@p12692 @p12684)) % 1.61/1.84 (step @p12694 :rule refl :args (@t7080)) % 1.61/1.84 (step @p12695 :rule nary_cong :premises (@p833 @p12694) :args (@t7081)) % 1.61/1.84 (step @p12696 :rule cong :premises (@p12695) :args ((forall @t1560 @t7081))) % 1.61/1.84 (step @p12697 :rule trans :premises (@p12696 @p12693)) % 1.61/1.84 (step @p12698 :rule bool-impl-elim :args (@t1558 @t7080)) % 1.61/1.84 (step @p12699 :rule cong :premises (@p12698) :args ((forall @t1560 (=> @t1558 @t7080)))) % 1.61/1.84 (step @p12700 :rule trans :premises (@p12699 @p12697)) % 1.61/1.84 (step @p12701 :rule aci_norm :args ((= @t7083 @t7078))) % 1.61/1.84 (step @p12702 :rule cong :premises (@p12701) :args (@t7084)) % 1.61/1.84 (step @p12703 :rule quant-merge-prenex :args ((= (forall @t1003 @t7086) @t7084))) % 1.61/1.84 (step @p12704 :rule alpha_equiv :args (@t7087 (@list @t7071 @t7070) (@list @t4 @t7088))) % 1.61/1.84 (step @p12705 :rule nary_cong :premises (@p844 @p12704) :args (@t7089)) % 1.61/1.84 (step @p12706 :rule quant-miniscope-or :args ((= @t7086 @t7089))) % 1.61/1.84 (step @p12707 :rule trans :premises (@p12706 @p12705)) % 1.61/1.84 (step @p12708 :rule symm :premises (@p12707)) % 1.61/1.84 (step @p12709 :rule cong :premises (@p12708) :args ((forall @t1003 (or @t3598 @t7096)))) % 1.61/1.84 (step @p12710 :rule trans :premises (@p12709 @p12703)) % 1.61/1.84 (step @p12711 :rule trans :premises (@p12710 @p12702)) % 1.61/1.84 (step @p12712 :rule refl :args (@t7096)) % 1.61/1.84 (step @p12713 :rule nary_cong :premises (@p858 @p12712) :args (@t7097)) % 1.61/1.84 (step @p12714 :rule cong :premises (@p12713) :args ((forall @t1003 @t7097))) % 1.61/1.84 (step @p12715 :rule trans :premises (@p12714 @p12711)) % 1.61/1.84 (step @p12716 :rule bool-impl-elim :args (@t1603 @t7096)) % 1.61/1.84 (step @p12717 :rule cong :premises (@p12716) :args ((forall @t1003 (=> @t1603 @t7096)))) % 1.61/1.84 (step @p12718 :rule trans :premises (@p12717 @p12715)) % 1.61/1.84 (step @p12719 :rule aci_norm :args ((= @t7099 @t7094))) % 1.61/1.84 (step @p12720 :rule cong :premises (@p12719) :args (@t7100)) % 1.61/1.84 (step @p12721 :rule quant-merge-prenex :args ((= (forall @t9 @t7102) @t7100))) % 1.61/1.84 (step @p12722 :rule alpha_equiv :args (@t7103 (@list @t7088) @t3627)) % 1.61/1.84 (step @p12723 :rule nary_cong :premises (@p869 @p12722) :args (@t7104)) % 1.61/1.84 (step @p12724 :rule quant-miniscope-or :args ((= @t7102 @t7104))) % 1.61/1.84 (step @p12725 :rule trans :premises (@p12724 @p12723)) % 1.61/1.84 (step @p12726 :rule symm :premises (@p12725)) % 1.61/1.84 (step @p12727 :rule cong :premises (@p12726) :args ((forall @t9 (or @t2125 @t7105)))) % 1.61/1.84 (step @p12728 :rule trans :premises (@p12727 @p12721)) % 1.61/1.84 (step @p12729 :rule trans :premises (@p12728 @p12720)) % 1.61/1.84 (step @p12730 :rule refl :args (@t7105)) % 1.61/1.84 (step @p12731 :rule nary_cong :premises (@p883 @p12730) :args (@t7106)) % 1.61/1.84 (step @p12732 :rule cong :premises (@p12731) :args ((forall @t9 @t7106))) % 1.61/1.84 (step @p12733 :rule trans :premises (@p12732 @p12729)) % 1.61/1.84 (step @p12734 :rule bool-impl-elim :args (@t7 @t7105)) % 1.61/1.84 (step @p12735 :rule cong :premises (@p12734) :args ((forall @t9 (=> @t7 @t7105)))) % 1.61/1.84 (step @p12736 :rule trans :premises (@p12735 @p12733)) % 1.61/1.84 (step @p12737 :rule nary_cong :premises (@p1023 @p924) :args (@t7107)) % 1.61/1.84 (step @p12738 :rule nary_cong :premises (@p930 @p12737 @p912) :args (@t7108)) % 1.61/1.84 (step @p12739 :rule cong :premises (@p12738) :args ((forall @t70 @t7108))) % 1.61/1.84 (step @p12740 :rule aci_norm :args ((= (or @t3636 (or @t7107 @t1696)) @t7108))) % 1.61/1.84 (step @p12741 :rule bool-or-de-morgan :args (@t941 @t995 false)) % 1.61/1.84 (step @p12742 :rule nary_cong :premises (@p12741 @p900) :args ((or (not @t1715) @t1696))) % 1.61/1.84 (step @p12743 :rule bool-impl-elim :args (@t1715 @t1696)) % 1.61/1.84 (step @p12744 :rule trans :premises (@p12743 @p12742)) % 1.61/1.84 (step @p12745 :rule nary_cong :premises (@p935 @p12744) :args ((or @t3636 @t1716))) % 1.61/1.84 (step @p12746 :rule trans :premises (@p12745 @p12740)) % 1.61/1.84 (step @p12747 :rule bool-impl-elim :args (@t21 @t1716)) % 1.61/1.84 (step @p12748 :rule trans :premises (@p12747 @p12746)) % 1.61/1.84 (step @p12749 :rule cong :premises (@p12748) :args (@t1717)) % 1.61/1.84 (step @p12750 :rule trans :premises (@p12749 @p12739)) % 1.61/1.84 (step @p12751 :rule cong :premises (@p942 @p12750) :args (@t1718)) % 1.61/1.84 (step @p12752 :rule cong :premises (@p12751) :args (@t1719)) % 1.61/1.84 (step @p12753 :rule trans :premises (@p12752 @p12736)) % 1.61/1.84 (step @p12754 :rule cong :premises (@p946 @p12753) :args (@t1720)) % 1.61/1.84 (step @p12755 :rule cong :premises (@p12754) :args (@t1721)) % 1.61/1.84 (step @p12756 :rule trans :premises (@p12755 @p12718)) % 1.61/1.84 (step @p12757 :rule cong :premises (@p950 @p12756) :args (@t1722)) % 1.61/1.84 (step @p12758 :rule cong :premises (@p12757) :args (@t1723)) % 1.61/1.84 (step @p12759 :rule trans :premises (@p12758 @p12700)) % 1.61/1.84 (step @p12760 :rule cong :premises (@p954 @p12759) :args (@t1724)) % 1.61/1.84 (step @p12761 :rule cong :premises (@p1043 @p12760) :args (@t1725)) % 1.61/1.84 (step @p12762 :rule cong :premises (@p1085 @p12761) :args (@t1726)) % 1.61/1.84 (step @p12763 :rule cong :premises (@p1282 @p12762) :args (@t1727)) % 1.61/1.84 (step @p12764 :rule cong :premises (@p1310 @p12763) :args (@t1728)) % 1.61/1.84 (step @p12765 :rule cong :premises (@p1421 @p12764) :args (@t1729)) % 1.61/1.84 (step @p12766 :rule cong :premises (@p1461 @p12765) :args (@t1730)) % 1.61/1.84 (step @p12767 :rule cong :premises (@p1540 @p12766) :args (@t1731)) % 1.61/1.84 (step @p12768 :rule cong :premises (@p1596 @p12767) :args (@t1732)) % 1.61/1.84 (step @p12769 :rule cong :premises (@p1615 @p12768) :args (@t1733)) % 1.61/1.84 (step @p12770 :rule cong :premises (@p1727 @p12769) :args (@t1734)) % 1.61/1.84 (step @p12771 :rule cong :premises (@p1772 @p12770) :args (@t1735)) % 1.61/1.84 (step @p12772 :rule cong :premises (@p1777 @p12771) :args (@t1736)) % 1.61/1.84 (step @p12773 :rule cong :premises (@p1916 @p12772) :args (@t1737)) % 1.61/1.84 (step @p12774 :rule cong :premises (@p2104 @p12773) :args (@t1738)) % 1.61/1.84 (step @p12775 :rule cong :premises (@p2129 @p12774) :args (@t1739)) % 1.61/1.84 (step @p12776 :rule cong :premises (@p2133 @p12775) :args (@t1740)) % 1.61/1.84 (step @p12777 :rule cong :premises (@p2138 @p12776) :args (@t1741)) % 1.61/1.84 (step @p12778 :rule cong :premises (@p2249 @p12777) :args (@t1742)) % 1.61/1.84 (step @p12779 :rule cong :premises (@p2317 @p12778) :args (@t1743)) % 1.61/1.84 (step @p12780 :rule cong :premises (@p2594 @p12779) :args (@t1744)) % 1.61/1.84 (step @p12781 :rule cong :premises (@p2599 @p12780) :args (@t1745)) % 1.61/1.84 (step @p12782 :rule cong :premises (@p2784 @p12781) :args (@t1746)) % 1.61/1.84 (step @p12783 :rule cong :premises (@p2878 @p12782) :args (@t1747)) % 1.61/1.84 (step @p12784 :rule cong :premises (@p2950 @p12783) :args (@t1748)) % 1.61/1.84 (step @p12785 :rule cong :premises (@p3006 @p12784) :args (@t1749)) % 1.61/1.84 (step @p12786 :rule cong :premises (@p3070 @p12785) :args (@t1750)) % 1.61/1.84 (step @p12787 :rule cong :premises (@p3101 @p12786) :args (@t1751)) % 1.61/1.84 (step @p12788 :rule cong :premises (@p3179 @p12787) :args (@t1752)) % 1.61/1.84 (step @p12789 :rule cong :premises (@p3263 @p12788) :args (@t1753)) % 1.61/1.84 (step @p12790 :rule cong :premises (@p3320 @p12789) :args (@t1754)) % 1.61/1.84 (step @p12791 :rule cong :premises (@p3363 @p12790) :args (@t1755)) % 1.61/1.84 (step @p12792 :rule cong :premises (@p3440 @p12791) :args (@t1756)) % 1.61/1.84 (step @p12793 :rule cong :premises (@p3497 @p12792) :args (@t1757)) % 1.61/1.84 (step @p12794 :rule cong :premises (@p3553 @p12793) :args (@t1758)) % 1.61/1.84 (step @p12795 :rule cong :premises (@p3557 @p12794) :args (@t1759)) % 1.61/1.84 (step @p12796 :rule cong :premises (@p3562 @p12795) :args (@t1760)) % 1.61/1.84 (step @p12797 :rule cong :premises (@p3707 @p12796) :args (@t1761)) % 1.61/1.84 (step @p12798 :rule cong :premises (@p3810 @p12797) :args (@t1762)) % 1.61/1.84 (step @p12799 :rule cong :premises (@p3814 @p12798) :args (@t1763)) % 1.61/1.84 (step @p12800 :rule cong :premises (@p3871 @p12799) :args (@t1764)) % 1.61/1.84 (step @p12801 :rule cong :premises (@p3875 @p12800) :args (@t1765)) % 1.61/1.84 (step @p12802 :rule cong :premises (@p3962 @p12801) :args (@t1766)) % 1.61/1.84 (step @p12803 :rule cong :premises (@p4049 @p12802) :args (@t1767)) % 1.61/1.84 (step @p12804 :rule cong :premises (@p4136 @p12803) :args (@t1768)) % 1.61/1.84 (step @p12805 :rule cong :premises (@p4197 @p12804) :args (@t1769)) % 1.61/1.84 (step @p12806 :rule cong :premises (@p4256 @p12805) :args (@t1770)) % 1.61/1.84 (step @p12807 :rule cong :premises (@p4260 @p12806) :args (@t1771)) % 1.61/1.84 (step @p12808 :rule cong :premises (@p4324 @p12807) :args (@t1772)) % 1.61/1.84 (step @p12809 :rule cong :premises (@p4328 @p12808) :args (@t1773)) % 1.61/1.84 (step @p12810 :rule cong :premises (@p4370 @p12809) :args (@t1774)) % 1.61/1.84 (step @p12811 :rule cong :premises (@p4426 @p12810) :args (@t1775)) % 1.61/1.84 (step @p12812 :rule cong :premises (@p4482 @p12811) :args (@t1776)) % 1.61/1.84 (step @p12813 :rule cong :premises (@p4502 @p12812) :args (@t1777)) % 1.61/1.84 (step @p12814 :rule cong :premises (@p4523 @p12813) :args (@t1778)) % 1.61/1.84 (step @p12815 :rule cong :premises (@p4542 @p12814) :args (@t1779)) % 1.61/1.84 (step @p12816 :rule cong :premises (@p4588 @p12815) :args (@t1780)) % 1.61/1.84 (step @p12817 :rule cong :premises (@p4623 @p12816) :args (@t1781)) % 1.61/1.84 (step @p12818 :rule cong :premises (@p4671 @p12817) :args (@t1782)) % 1.61/1.84 (step @p12819 :rule cong :premises (@p4706 @p12818) :args (@t1783)) % 1.61/1.84 (step @p12820 :rule cong :premises (@p4777 @p12819) :args (@t1784)) % 1.61/1.84 (step @p12821 :rule cong :premises (@p4848 @p12820) :args (@t1785)) % 1.61/1.84 (step @p12822 :rule cong :premises (@p4907 @p12821) :args (@t1786)) % 1.61/1.84 (step @p12823 :rule cong :premises (@p4965 @p12822) :args (@t1787)) % 1.61/1.84 (step @p12824 :rule cong :premises (@p5003 @p12823) :args (@t1788)) % 1.61/1.84 (step @p12825 :rule cong :premises (@p5038 @p12824) :args (@t1789)) % 1.61/1.84 (step @p12826 :rule cong :premises (@p5126 @p12825) :args (@t1790)) % 1.61/1.84 (step @p12827 :rule cong :premises (@p5174 @p12826) :args (@t1791)) % 1.61/1.84 (step @p12828 :rule cong :premises (@p5214 @p12827) :args (@t1792)) % 1.61/1.84 (step @p12829 :rule cong :premises (@p5272 @p12828) :args (@t1793)) % 1.61/1.84 (step @p12830 :rule cong :premises (@p5291 @p12829) :args (@t1794)) % 1.61/1.84 (step @p12831 :rule cong :premises (@p5338 @p12830) :args (@t1795)) % 1.61/1.84 (step @p12832 :rule cong :premises (@p5374 @p12831) :args (@t1796)) % 1.61/1.84 (step @p12833 :rule cong :premises (@p5416 @p12832) :args (@t1797)) % 1.61/1.84 (step @p12834 :rule cong :premises (@p5456 @p12833) :args (@t1798)) % 1.61/1.84 (step @p12835 :rule cong :premises (@p5519 @p12834) :args (@t1799)) % 1.61/1.84 (step @p12836 :rule cong :premises (@p5590 @p12835) :args (@t1800)) % 1.61/1.84 (step @p12837 :rule cong :premises (@p5664 @p12836) :args (@t1801)) % 1.61/1.84 (step @p12838 :rule cong :premises (@p5718 @p12837) :args (@t1802)) % 1.61/1.84 (step @p12839 :rule cong :premises (@p5758 @p12838) :args (@t1803)) % 1.61/1.84 (step @p12840 :rule cong :premises (@p5825 @p12839) :args (@t1804)) % 1.61/1.84 (step @p12841 :rule cong :premises (@p5922 @p12840) :args (@t1805)) % 1.61/1.84 (step @p12842 :rule cong :premises (@p6019 @p12841) :args (@t1806)) % 1.61/1.84 (step @p12843 :rule cong :premises (@p6114 @p12842) :args (@t1807)) % 1.61/1.84 (step @p12844 :rule cong :premises (@p6215 @p12843) :args (@t1808)) % 1.61/1.84 (step @p12845 :rule cong :premises (@p6266 @p12844) :args (@t1809)) % 1.61/1.84 (step @p12846 :rule cong :premises (@p6271 @p12845) :args (@t1810)) % 1.61/1.84 (step @p12847 :rule cong :premises (@p6376 @p12846) :args (@t1811)) % 1.61/1.84 (step @p12848 :rule cong :premises (@p6397 @p12847) :args (@t1812)) % 1.61/1.84 (step @p12849 :rule cong :premises (@p6401 @p12848) :args (@t1813)) % 1.61/1.84 (step @p12850 :rule cong :premises (@p6420 @p12849) :args (@t1814)) % 1.61/1.84 (step @p12851 :rule cong :premises (@p6433 @p12850) :args (@t1815)) % 1.61/1.84 (step @p12852 :rule cong :premises (@p6504 @p12851) :args (@t1816)) % 1.61/1.84 (step @p12853 :rule cong :premises (@p6550 @p12852) :args (@t1817)) % 1.61/1.84 (step @p12854 :rule cong :premises (@p6674 @p12853) :args (@t1818)) % 1.61/1.84 (step @p12855 :rule cong :premises (@p6713 @p12854) :args (@t1819)) % 1.61/1.84 (step @p12856 :rule cong :premises (@p6800 @p12855) :args (@t1820)) % 1.61/1.84 (step @p12857 :rule cong :premises (@p6895 @p12856) :args (@t1821)) % 1.61/1.84 (step @p12858 :rule cong :premises (@p6926 @p12857) :args (@t1822)) % 1.61/1.84 (step @p12859 :rule cong :premises (@p6979 @p12858) :args (@t1823)) % 1.61/1.84 (step @p12860 :rule cong :premises (@p7003 @p12859) :args (@t1824)) % 1.61/1.84 (step @p12861 :rule cong :premises (@p7106 @p12860) :args (@t1825)) % 1.61/1.84 (step @p12862 :rule cong :premises (@p7111 @p12861) :args (@t1826)) % 1.61/1.84 (step @p12863 :rule cong :premises (@p7187 @p12862) :args (@t1827)) % 1.61/1.84 (step @p12864 :rule cong :premises (@p7232 @p12863) :args (@t1828)) % 1.61/1.84 (step @p12865 :rule cong :premises (@p7260 @p12864) :args (@t1829)) % 1.61/1.84 (step @p12866 :rule cong :premises (@p7303 @p12865) :args (@t1830)) % 1.61/1.84 (step @p12867 :rule cong :premises (@p7312 @p12866) :args (@t1831)) % 1.61/1.84 (step @p12868 :rule cong :premises (@p7354 @p12867) :args (@t1832)) % 1.61/1.84 (step @p12869 :rule cong :premises (@p7363 @p12868) :args (@t1833)) % 1.61/1.84 (step @p12870 :rule cong :premises (@p7387 @p12869) :args (@t1834)) % 1.61/1.84 (step @p12871 :rule cong :premises (@p7452 @p12870) :args (@t1835)) % 1.61/1.84 (step @p12872 :rule cong :premises (@p7492 @p12871) :args (@t1836)) % 1.61/1.84 (step @p12873 :rule cong :premises (@p7538 @p12872) :args (@t1837)) % 1.61/1.84 (step @p12874 :rule cong :premises (@p7551 @p12873) :args (@t1838)) % 1.61/1.84 (step @p12875 :rule cong :premises (@p7564 @p12874) :args (@t1839)) % 1.61/1.84 (step @p12876 :rule cong :premises (@p7602 @p12875) :args (@t1840)) % 1.61/1.84 (step @p12877 :rule cong :premises (@p7632 @p12876) :args (@t1841)) % 1.61/1.84 (step @p12878 :rule cong :premises (@p7658 @p12877) :args (@t1842)) % 1.61/1.84 (step @p12879 :rule cong :premises (@p7697 @p12878) :args (@t1843)) % 1.61/1.84 (step @p12880 :rule cong :premises (@p7748 @p12879) :args (@t1844)) % 1.61/1.84 (step @p12881 :rule cong :premises (@p7794 @p12880) :args (@t1845)) % 1.61/1.84 (step @p12882 :rule cong :premises (@p7840 @p12881) :args (@t1846)) % 1.61/1.84 (step @p12883 :rule cong :premises (@p7858 @p12882) :args (@t1847)) % 1.61/1.84 (step @p12884 :rule cong :premises (@p7880 @p12883) :args (@t1848)) % 1.61/1.84 (step @p12885 :rule cong :premises (@p7889 @p12884) :args (@t1849)) % 1.61/1.84 (step @p12886 :rule cong :premises (@p7910 @p12885) :args (@t1850)) % 1.61/1.84 (step @p12887 :rule cong :premises (@p7929 @p12886) :args (@t1851)) % 1.61/1.84 (step @p12888 :rule cong :premises (@p7936 @p12887) :args (@t1852)) % 1.61/1.84 (step @p12889 :rule cong :premises (@p7987 @p12888) :args (@t1853)) % 1.61/1.84 (step @p12890 :rule cong :premises (@p8004 @p12889) :args (@t1854)) % 1.61/1.84 (step @p12891 :rule cong :premises (@p8086 @p12890) :args (@t1855)) % 1.61/1.84 (step @p12892 :rule cong :premises (@p8097 @p12891) :args (@t1856)) % 1.61/1.84 (step @p12893 :rule cong :premises (@p8133 @p12892) :args (@t1857)) % 1.61/1.84 (step @p12894 :rule cong :premises (@p8173 @p12893) :args (@t1858)) % 1.61/1.84 (step @p12895 :rule cong :premises (@p8204 @p12894) :args (@t1859)) % 1.61/1.84 (step @p12896 :rule cong :premises (@p8214 @p12895) :args (@t1860)) % 1.61/1.84 (step @p12897 :rule cong :premises (@p8223 @p12896) :args (@t1861)) % 1.61/1.84 (step @p12898 :rule cong :premises (@p8244 @p12897) :args (@t1862)) % 1.61/1.84 (step @p12899 :rule cong :premises (@p8251 @p12898) :args (@t1863)) % 1.61/1.84 (step @p12900 :rule cong :premises (@p8272 @p12899) :args (@t1864)) % 1.61/1.84 (step @p12901 :rule cong :premises (@p8315 @p12900) :args (@t1865)) % 1.61/1.84 (step @p12902 :rule cong :premises (@p8337 @p12901) :args (@t1866)) % 1.61/1.84 (step @p12903 :rule cong :premises (@p8352 @p12902) :args (@t1867)) % 1.61/1.84 (step @p12904 :rule cong :premises (@p8401 @p12903) :args (@t1868)) % 1.61/1.84 (step @p12905 :rule cong :premises (@p8460 @p12904) :args (@t1869)) % 1.61/1.84 (step @p12906 :rule cong :premises (@p8477 @p12905) :args (@t1870)) % 1.61/1.84 (step @p12907 :rule cong :premises (@p8537 @p12906) :args (@t1871)) % 1.61/1.84 (step @p12908 :rule cong :premises (@p8556 @p12907) :args (@t1872)) % 1.61/1.84 (step @p12909 :rule cong :premises (@p8587 @p12908) :args (@t1873)) % 1.61/1.84 (step @p12910 :rule cong :premises (@p8604 @p12909) :args (@t1874)) % 1.61/1.84 (step @p12911 :rule cong :premises (@p8648 @p12910) :args (@t1875)) % 1.61/1.84 (step @p12912 :rule cong :premises (@p8657 @p12911) :args (@t1876)) % 1.61/1.84 (step @p12913 :rule cong :premises (@p8707 @p12912) :args (@t1877)) % 1.61/1.84 (step @p12914 :rule cong :premises (@p8737 @p12913) :args (@t1878)) % 1.61/1.84 (step @p12915 :rule cong :premises (@p8802 @p12914) :args (@t1879)) % 1.61/1.84 (step @p12916 :rule cong :premises (@p8844 @p12915) :args (@t1880)) % 1.61/1.84 (step @p12917 :rule cong :premises (@p8886 @p12916) :args (@t1881)) % 1.61/1.84 (step @p12918 :rule cong :premises (@p8928 @p12917) :args (@t1882)) % 1.61/1.84 (step @p12919 :rule cong :premises (@p8970 @p12918) :args (@t1883)) % 1.61/1.84 (step @p12920 :rule cong :premises (@p8975 @p12919) :args (@t1884)) % 1.61/1.84 (step @p12921 :rule cong :premises (@p9022 @p12920) :args (@t1885)) % 1.61/1.84 (step @p12922 :rule cong :premises (@p9041 @p12921) :args (@t1886)) % 1.61/1.84 (step @p12923 :rule cong :premises (@p9062 @p12922) :args (@t1887)) % 1.61/1.84 (step @p12924 :rule cong :premises (@p9078 @p12923) :args (@t1888)) % 1.61/1.84 (step @p12925 :rule cong :premises (@p9093 @p12924) :args (@t1889)) % 1.61/1.84 (step @p12926 :rule cong :premises (@p9118 @p12925) :args (@t1890)) % 1.61/1.84 (step @p12927 :rule cong :premises (@p9133 @p12926) :args (@t1891)) % 1.61/1.84 (step @p12928 :rule cong :premises (@p9138 @p12927) :args (@t1892)) % 1.61/1.84 (step @p12929 :rule cong :premises (@p9195 @p12928) :args (@t1893)) % 1.61/1.84 (step @p12930 :rule cong :premises (@p9210 @p12929) :args (@t1894)) % 1.61/1.84 (step @p12931 :rule cong :premises (@p9227 @p12930) :args (@t1895)) % 1.61/1.84 (step @p12932 :rule cong :premises (@p9243 @p12931) :args (@t1896)) % 1.61/1.84 (step @p12933 :rule cong :premises (@p9307 @p12932) :args (@t1897)) % 1.61/1.84 (step @p12934 :rule cong :premises (@p9333 @p12933) :args (@t1898)) % 1.61/1.84 (step @p12935 :rule cong :premises (@p9350 @p12934) :args (@t1899)) % 1.61/1.84 (step @p12936 :rule cong :premises (@p9370 @p12935) :args (@t1900)) % 1.61/1.84 (step @p12937 :rule cong :premises (@p9382 @p12936) :args (@t1901)) % 1.61/1.84 (step @p12938 :rule cong :premises (@p9402 @p12937) :args (@t1902)) % 1.61/1.84 (step @p12939 :rule cong :premises (@p9419 @p12938) :args (@t1903)) % 1.61/1.84 (step @p12940 :rule cong :premises (@p9432 @p12939) :args (@t1904)) % 1.61/1.84 (step @p12941 :rule cong :premises (@p9441 @p12940) :args (@t1905)) % 1.61/1.84 (step @p12942 :rule cong :premises (@p9450 @p12941) :args (@t1906)) % 1.61/1.84 (step @p12943 :rule cong :premises (@p9466 @p12942) :args (@t1907)) % 1.61/1.84 (step @p12944 :rule cong :premises (@p9510 @p12943) :args (@t1908)) % 1.61/1.84 (step @p12945 :rule cong :premises (@p9525 @p12944) :args (@t1909)) % 1.61/1.84 (step @p12946 :rule cong :premises (@p9546 @p12945) :args (@t1910)) % 1.61/1.84 (step @p12947 :rule cong :premises (@p9563 @p12946) :args (@t1911)) % 1.61/1.84 (step @p12948 :rule cong :premises (@p9589 @p12947) :args (@t1912)) % 1.61/1.84 (step @p12949 :rule cong :premises (@p9609 @p12948) :args (@t1913)) % 1.61/1.84 (step @p12950 :rule cong :premises (@p9622 @p12949) :args (@t1914)) % 1.61/1.84 (step @p12951 :rule cong :premises (@p9634 @p12950) :args (@t1915)) % 1.61/1.84 (step @p12952 :rule cong :premises (@p9649 @p12951) :args (@t1916)) % 1.61/1.84 (step @p12953 :rule cong :premises (@p9658 @p12952) :args (@t1917)) % 1.61/1.84 (step @p12954 :rule cong :premises (@p9697 @p12953) :args (@t1918)) % 1.61/1.84 (step @p12955 :rule cong :premises (@p9711 @p12954) :args (@t1919)) % 1.61/1.84 (step @p12956 :rule cong :premises (@p9727 @p12955) :args (@t1920)) % 1.61/1.84 (step @p12957 :rule cong :premises (@p9742 @p12956) :args (@t1921)) % 1.61/1.84 (step @p12958 :rule cong :premises (@p9764 @p12957) :args (@t1922)) % 1.61/1.84 (step @p12959 :rule cong :premises (@p9815 @p12958) :args (@t1923)) % 1.61/1.84 (step @p12960 :rule cong :premises (@p9824 @p12959) :args (@t1924)) % 1.61/1.84 (step @p12961 :rule cong :premises (@p9829 @p12960) :args (@t1925)) % 1.61/1.84 (step @p12962 :rule cong :premises (@p9841 @p12961) :args (@t1926)) % 1.61/1.84 (step @p12963 :rule cong :premises (@p9861 @p12962) :args (@t1927)) % 1.61/1.84 (step @p12964 :rule cong :premises (@p9882 @p12963) :args (@t1928)) % 1.61/1.84 (step @p12965 :rule cong :premises (@p9908 @p12964) :args (@t1929)) % 1.61/1.84 (step @p12966 :rule cong :premises (@p9924 @p12965) :args (@t1930)) % 1.61/1.84 (step @p12967 :rule cong :premises (@p9945 @p12966) :args (@t1931)) % 1.61/1.84 (step @p12968 :rule cong :premises (@p9954 @p12967) :args (@t1932)) % 1.61/1.84 (step @p12969 :rule cong :premises (@p9970 @p12968) :args (@t1933)) % 1.61/1.84 (step @p12970 :rule cong :premises (@p9986 @p12969) :args (@t1934)) % 1.61/1.84 (step @p12971 :rule cong :premises (@p10005 @p12970) :args (@t1935)) % 1.61/1.84 (step @p12972 :rule cong :premises (@p10029 @p12971) :args (@t1936)) % 1.61/1.84 (step @p12973 :rule cong :premises (@p10049 @p12972) :args (@t1937)) % 1.61/1.84 (step @p12974 :rule cong :premises (@p10074 @p12973) :args (@t1938)) % 1.61/1.84 (step @p12975 :rule cong :premises (@p10084 @p12974) :args (@t1939)) % 1.61/1.84 (step @p12976 :rule cong :premises (@p10126 @p12975) :args (@t1940)) % 1.61/1.84 (step @p12977 :rule cong :premises (@p10156 @p12976) :args (@t1941)) % 1.61/1.84 (step @p12978 :rule cong :premises (@p10172 @p12977) :args (@t1942)) % 1.61/1.84 (step @p12979 :rule cong :premises (@p10185 @p12978) :args (@t1943)) % 1.61/1.84 (step @p12980 :rule cong :premises (@p10198 @p12979) :args (@t1944)) % 1.61/1.84 (step @p12981 :rule cong :premises (@p10208 @p12980) :args (@t1945)) % 1.61/1.84 (step @p12982 :rule cong :premises (@p10213 @p12981) :args (@t1946)) % 1.61/1.84 (step @p12983 :rule cong :premises (@p10253 @p12982) :args (@t1947)) % 1.61/1.84 (step @p12984 :rule cong :premises (@p10273 @p12983) :args (@t1948)) % 1.61/1.84 (step @p12985 :rule cong :premises (@p10277 @p12984) :args (@t1949)) % 1.61/1.84 (step @p12986 :rule cong :premises (@p10400 @p12985) :args (@t1950)) % 1.61/1.84 (step @p12987 :rule cong :premises (@p10556 @p12986) :args (@t1951)) % 1.61/1.84 (step @p12988 :rule cong :premises (@p10619 @p12987) :args (@t1952)) % 1.61/1.84 (step @p12989 :rule cong :premises (@p10631 @p12988) :args (@t1953)) % 1.61/1.84 (step @p12990 :rule cong :premises (@p10668 @p12989) :args (@t1954)) % 1.61/1.84 (step @p12991 :rule cong :premises (@p10698 @p12990) :args (@t1955)) % 1.61/1.84 (step @p12992 :rule cong :premises (@p10769 @p12991) :args (@t1956)) % 1.61/1.84 (step @p12993 :rule cong :premises (@p10778 @p12992) :args (@t1957)) % 1.61/1.84 (step @p12994 :rule cong :premises (@p10790 @p12993) :args (@t1958)) % 1.61/1.84 (step @p12995 :rule cong :premises (@p10799 @p12994) :args (@t1959)) % 1.61/1.84 (step @p12996 :rule cong :premises (@p10860 @p12995) :args (@t1960)) % 1.61/1.84 (step @p12997 :rule cong :premises (@p10933 @p12996) :args (@t1961)) % 1.61/1.84 (step @p12998 :rule cong :premises (@p10979 @p12997) :args (@t1962)) % 1.61/1.84 (step @p12999 :rule cong :premises (@p11018 @p12998) :args (@t1963)) % 1.61/1.84 (step @p13000 :rule cong :premises (@p11041 @p12999) :args (@t1964)) % 1.61/1.84 (step @p13001 :rule cong :premises (@p11057 @p13000) :args (@t1965)) % 1.61/1.84 (step @p13002 :rule cong :premises (@p11098 @p13001) :args (@t1966)) % 1.61/1.84 (step @p13003 :rule cong :premises (@p11153 @p13002) :args (@t1967)) % 1.61/1.84 (step @p13004 :rule cong :premises (@p11184 @p13003) :args (@t1968)) % 1.61/1.84 (step @p13005 :rule cong :premises (@p11193 @p13004) :args (@t1969)) % 1.61/1.84 (step @p13006 :rule cong :premises (@p11201 @p13005) :args (@t1970)) % 1.61/1.84 (step @p13007 :rule cong :premises (@p11212 @p13006) :args (@t1971)) % 1.61/1.84 (step @p13008 :rule cong :premises (@p11220 @p13007) :args (@t1972)) % 1.61/1.84 (step @p13009 :rule cong :premises (@p11237 @p13008) :args (@t1973)) % 1.61/1.84 (step @p13010 :rule cong :premises (@p11276 @p13009) :args (@t1974)) % 1.61/1.84 (step @p13011 :rule cong :premises (@p11280 @p13010) :args (@t1975)) % 1.61/1.84 (step @p13012 :rule cong :premises (@p11295 @p13011) :args (@t1976)) % 1.61/1.84 (step @p13013 :rule cong :premises (@p11299 @p13012) :args (@t1977)) % 1.61/1.84 (step @p13014 :rule cong :premises (@p11329 @p13013) :args (@t1978)) % 1.61/1.84 (step @p13015 :rule cong :premises (@p11354 @p13014) :args (@t1979)) % 1.61/1.84 (step @p13016 :rule cong :premises (@p11368 @p13015) :args (@t1980)) % 1.61/1.84 (step @p13017 :rule cong :premises (@p11377 @p13016) :args (@t1981)) % 1.61/1.84 (step @p13018 :rule cong :premises (@p11398 @p13017) :args (@t1982)) % 1.61/1.84 (step @p13019 :rule cong :premises (@p11436 @p13018) :args (@t1983)) % 1.61/1.84 (step @p13020 :rule cong :premises (@p11469 @p13019) :args (@t1984)) % 1.61/1.84 (step @p13021 :rule cong :premises (@p11528 @p13020) :args (@t1985)) % 1.61/1.84 (step @p13022 :rule cong :premises (@p11542 @p13021) :args (@t1986)) % 1.61/1.84 (step @p13023 :rule cong :premises (@p11557 @p13022) :args (@t1987)) % 1.61/1.84 (step @p13024 :rule cong :premises (@p11562 @p13023) :args (@t1988)) % 1.61/1.84 (step @p13025 :rule cong :premises (@p11580 @p13024) :args (@t1989)) % 1.61/1.84 (step @p13026 :rule cong :premises (@p11598 @p13025) :args (@t1990)) % 1.61/1.84 (step @p13027 :rule cong :premises (@p11622 @p13026) :args (@t1991)) % 1.61/1.84 (step @p13028 :rule cong :premises (@p11649 @p13027) :args (@t1992)) % 1.61/1.84 (step @p13029 :rule cong :premises (@p11704 @p13028) :args (@t1993)) % 1.61/1.84 (step @p13030 :rule cong :premises (@p11713 @p13029) :args (@t1994)) % 1.61/1.84 (step @p13031 :rule refl :args (tptp.emptyinunitempty)) % 1.61/1.84 (step @p13032 :rule cong :premises (@p13031 @p13030) :args (@t1995)) % 1.61/1.84 (step @p13033 :rule cong :premises (@p11734 @p13032) :args (@t1996)) % 1.61/1.84 (step @p13034 :rule cong :premises (@p11774 @p13033) :args (@t1997)) % 1.61/1.84 (step @p13035 :rule cong :premises (@p11819 @p13034) :args (@t1998)) % 1.61/1.84 (step @p13036 :rule cong :premises (@p11833 @p13035) :args (@t1999)) % 1.61/1.84 (step @p13037 :rule cong :premises (@p11867 @p13036) :args (@t2000)) % 1.61/1.84 (step @p13038 :rule cong :premises (@p11872 @p13037) :args (@t2001)) % 1.61/1.84 (step @p13039 :rule cong :premises (@p11885 @p13038) :args (@t2002)) % 1.61/1.84 (step @p13040 :rule cong :premises (@p11900 @p13039) :args (@t2003)) % 1.61/1.84 (step @p13041 :rule cong :premises (@p11932 @p13040) :args (@t2004)) % 1.61/1.84 (step @p13042 :rule cong :premises (@p11941 @p13041) :args (@t2005)) % 1.61/1.84 (step @p13043 :rule cong :premises (@p11952 @p13042) :args (@t2006)) % 1.61/1.84 (step @p13044 :rule cong :premises (@p11967 @p13043) :args (@t2007)) % 1.61/1.84 (step @p13045 :rule cong :premises (@p12003 @p13044) :args (@t2008)) % 1.61/1.84 (step @p13046 :rule cong :premises (@p12012 @p13045) :args (@t2009)) % 1.61/1.84 (step @p13047 :rule cong :premises (@p12032 @p13046) :args (@t2010)) % 1.61/1.84 (step @p13048 :rule cong :premises (@p12044 @p13047) :args (@t2011)) % 1.61/1.84 (step @p13049 :rule cong :premises (@p12061 @p13048) :args (@t2012)) % 1.61/1.84 (step @p13050 :rule cong :premises (@p12111 @p13049) :args (@t2013)) % 1.61/1.84 (step @p13051 :rule cong :premises (@p12382 @p13050) :args (@t2014)) % 1.61/1.84 (step @p13052 :rule cong :premises (@p12427 @p13051) :args (@t2015)) % 1.61/1.84 (step @p13053 :rule cong :premises (@p12514 @p13052) :args (@t2016)) % 1.61/1.84 (step @p13054 :rule cong :premises (@p12600 @p13053) :args (@t2017)) % 1.61/1.84 (step @p13055 :rule cong :premises (@p12620 @p13054) :args (@t2018)) % 1.61/1.84 (step @p13056 :rule refl :args (tptp.omega0Ax)) % 1.61/1.84 (step @p13057 :rule cong :premises (@p13056 @p13055) :args (@t2019)) % 1.61/1.84 (step @p13058 :rule cong :premises (@p12639 @p13057) :args (@t2020)) % 1.61/1.84 (step @p13059 :rule cong :premises (@p12652 @p13058) :args (@t2021)) % 1.61/1.84 (step @p13060 :rule cong :premises (@p12662 @p13059) :args (@t2022)) % 1.61/1.84 (step @p13061 :rule cong :premises (@p12666 @p13060) :args (@t2023)) % 1.61/1.84 (step @p13062 :rule cong :premises (@p12677 @p13061) :args (@t2024)) % 1.61/1.84 (step @p13063 :rule cong :premises (@p13062) :args (@t2025)) % 1.61/1.84 (step @p13064 :rule trans :premises (@p13063 @p12682 @p431)) % 1.61/1.84 (step @p13065 :rule eq_resolve :premises (@p302 @p13064)) % 1.61/1.84 (step @p13066 :rule not_implies_elim2 :premises (@p13065)) % 1.61/1.84 (step @p13067 :rule not_implies_elim2 :premises (@p13066)) % 1.61/1.84 (step @p13068 :rule not_implies_elim2 :premises (@p13067)) % 1.61/1.84 (step @p13069 :rule not_implies_elim2 :premises (@p13068)) % 1.61/1.84 (step @p13070 :rule not_implies_elim2 :premises (@p13069)) % 1.61/1.84 (step @p13071 :rule not_implies_elim2 :premises (@p13070)) % 1.61/1.84 (step @p13072 :rule not_implies_elim2 :premises (@p13071)) % 1.61/1.84 (step @p13073 :rule not_implies_elim2 :premises (@p13072)) % 1.61/1.84 (step @p13074 :rule not_implies_elim2 :premises (@p13073)) % 1.61/1.84 (step @p13075 :rule not_implies_elim2 :premises (@p13074)) % 1.61/1.84 (step @p13076 :rule not_implies_elim2 :premises (@p13075)) % 1.61/1.84 (step @p13077 :rule not_implies_elim2 :premises (@p13076)) % 1.61/1.84 (step @p13078 :rule not_implies_elim2 :premises (@p13077)) % 1.61/1.84 (step @p13079 :rule not_implies_elim2 :premises (@p13078)) % 1.61/1.84 (step @p13080 :rule not_implies_elim2 :premises (@p13079)) % 1.61/1.84 (step @p13081 :rule not_implies_elim2 :premises (@p13080)) % 1.61/1.84 (step @p13082 :rule not_implies_elim2 :premises (@p13081)) % 1.61/1.84 (step @p13083 :rule not_implies_elim2 :premises (@p13082)) % 1.61/1.84 (step @p13084 :rule not_implies_elim2 :premises (@p13083)) % 1.61/1.84 (step @p13085 :rule not_implies_elim2 :premises (@p13084)) % 1.61/1.84 (step @p13086 :rule not_implies_elim2 :premises (@p13085)) % 1.61/1.84 (step @p13087 :rule not_implies_elim2 :premises (@p13086)) % 1.61/1.84 (step @p13088 :rule not_implies_elim2 :premises (@p13087)) % 1.61/1.84 (step @p13089 :rule not_implies_elim2 :premises (@p13088)) % 1.61/1.84 (step @p13090 :rule not_implies_elim2 :premises (@p13089)) % 1.61/1.84 (step @p13091 :rule not_implies_elim2 :premises (@p13090)) % 1.61/1.84 (step @p13092 :rule not_implies_elim2 :premises (@p13091)) % 1.61/1.84 (step @p13093 :rule not_implies_elim2 :premises (@p13092)) % 1.61/1.84 (step @p13094 :rule not_implies_elim2 :premises (@p13093)) % 1.61/1.84 (step @p13095 :rule not_implies_elim2 :premises (@p13094)) % 1.61/1.84 (step @p13096 :rule not_implies_elim2 :premises (@p13095)) % 1.61/1.84 (step @p13097 :rule not_implies_elim2 :premises (@p13096)) % 1.61/1.84 (step @p13098 :rule not_implies_elim2 :premises (@p13097)) % 1.61/1.84 (step @p13099 :rule not_implies_elim2 :premises (@p13098)) % 1.61/1.84 (step @p13100 :rule not_implies_elim2 :premises (@p13099)) % 1.61/1.84 (step @p13101 :rule not_implies_elim2 :premises (@p13100)) % 1.61/1.84 (step @p13102 :rule not_implies_elim2 :premises (@p13101)) % 1.61/1.84 (step @p13103 :rule not_implies_elim2 :premises (@p13102)) % 1.61/1.84 (step @p13104 :rule not_implies_elim2 :premises (@p13103)) % 1.61/1.84 (step @p13105 :rule not_implies_elim2 :premises (@p13104)) % 1.61/1.84 (step @p13106 :rule not_implies_elim2 :premises (@p13105)) % 1.61/1.84 (step @p13107 :rule not_implies_elim2 :premises (@p13106)) % 1.61/1.84 (step @p13108 :rule not_implies_elim2 :premises (@p13107)) % 1.61/1.84 (step @p13109 :rule not_implies_elim2 :premises (@p13108)) % 1.61/1.84 (step @p13110 :rule not_implies_elim2 :premises (@p13109)) % 1.61/1.84 (step @p13111 :rule not_implies_elim2 :premises (@p13110)) % 1.61/1.84 (step @p13112 :rule not_implies_elim2 :premises (@p13111)) % 1.61/1.84 (step @p13113 :rule not_implies_elim2 :premises (@p13112)) % 1.61/1.84 (step @p13114 :rule not_implies_elim2 :premises (@p13113)) % 1.61/1.84 (step @p13115 :rule not_implies_elim2 :premises (@p13114)) % 1.61/1.84 (step @p13116 :rule not_implies_elim2 :premises (@p13115)) % 1.61/1.84 (step @p13117 :rule not_implies_elim2 :premises (@p13116)) % 1.61/1.84 (step @p13118 :rule not_implies_elim2 :premises (@p13117)) % 1.61/1.84 (step @p13119 :rule not_implies_elim2 :premises (@p13118)) % 1.61/1.84 (step @p13120 :rule not_implies_elim2 :premises (@p13119)) % 1.61/1.84 (step @p13121 :rule not_implies_elim2 :premises (@p13120)) % 1.61/1.84 (step @p13122 :rule not_implies_elim2 :premises (@p13121)) % 1.61/1.84 (step @p13123 :rule not_implies_elim2 :premises (@p13122)) % 1.61/1.84 (step @p13124 :rule not_implies_elim2 :premises (@p13123)) % 1.61/1.84 (step @p13125 :rule not_implies_elim2 :premises (@p13124)) % 1.61/1.84 (step @p13126 :rule not_implies_elim2 :premises (@p13125)) % 1.61/1.84 (step @p13127 :rule not_implies_elim2 :premises (@p13126)) % 1.61/1.84 (step @p13128 :rule not_implies_elim2 :premises (@p13127)) % 1.61/1.84 (step @p13129 :rule not_implies_elim2 :premises (@p13128)) % 1.61/1.84 (step @p13130 :rule not_implies_elim2 :premises (@p13129)) % 1.61/1.84 (step @p13131 :rule not_implies_elim2 :premises (@p13130)) % 1.61/1.84 (step @p13132 :rule not_implies_elim2 :premises (@p13131)) % 1.61/1.84 (step @p13133 :rule not_implies_elim2 :premises (@p13132)) % 1.61/1.84 (step @p13134 :rule not_implies_elim2 :premises (@p13133)) % 1.61/1.84 (step @p13135 :rule not_implies_elim2 :premises (@p13134)) % 1.61/1.84 (step @p13136 :rule not_implies_elim2 :premises (@p13135)) % 1.61/1.84 (step @p13137 :rule not_implies_elim2 :premises (@p13136)) % 1.61/1.84 (step @p13138 :rule not_implies_elim2 :premises (@p13137)) % 1.61/1.84 (step @p13139 :rule not_implies_elim2 :premises (@p13138)) % 1.61/1.84 (step @p13140 :rule not_implies_elim2 :premises (@p13139)) % 1.61/1.84 (step @p13141 :rule not_implies_elim2 :premises (@p13140)) % 1.61/1.84 (step @p13142 :rule not_implies_elim2 :premises (@p13141)) % 1.61/1.84 (step @p13143 :rule not_implies_elim2 :premises (@p13142)) % 1.61/1.84 (step @p13144 :rule not_implies_elim2 :premises (@p13143)) % 1.61/1.84 (step @p13145 :rule not_implies_elim2 :premises (@p13144)) % 1.61/1.84 (step @p13146 :rule not_implies_elim2 :premises (@p13145)) % 1.61/1.84 (step @p13147 :rule not_implies_elim2 :premises (@p13146)) % 1.61/1.84 (step @p13148 :rule not_implies_elim2 :premises (@p13147)) % 1.61/1.84 (step @p13149 :rule not_implies_elim2 :premises (@p13148)) % 1.61/1.84 (step @p13150 :rule not_implies_elim1 :premises (@p13149)) % 1.61/1.84 (step @p13151 :rule not_implies_elim2 :premises (@p13149)) % 1.61/1.84 (step @p13152 :rule not_implies_elim2 :premises (@p13151)) % 1.61/1.84 (step @p13153 :rule not_implies_elim2 :premises (@p13152)) % 1.61/1.84 (step @p13154 :rule not_implies_elim2 :premises (@p13153)) % 1.61/1.84 (step @p13155 :rule not_implies_elim2 :premises (@p13154)) % 1.61/1.84 (step @p13156 :rule not_implies_elim2 :premises (@p13155)) % 1.61/1.84 (step @p13157 :rule not_implies_elim2 :premises (@p13156)) % 1.61/1.84 (step @p13158 :rule not_implies_elim2 :premises (@p13157)) % 1.61/1.84 (step @p13159 :rule not_implies_elim2 :premises (@p13158)) % 1.61/1.84 (step @p13160 :rule not_implies_elim2 :premises (@p13159)) % 1.61/1.84 (step @p13161 :rule not_implies_elim2 :premises (@p13160)) % 1.61/1.84 (step @p13162 :rule not_implies_elim2 :premises (@p13161)) % 1.61/1.84 (step @p13163 :rule not_implies_elim2 :premises (@p13162)) % 1.61/1.84 (step @p13164 :rule not_implies_elim2 :premises (@p13163)) % 1.61/1.84 (step @p13165 :rule not_implies_elim2 :premises (@p13164)) % 1.61/1.84 (step @p13166 :rule not_implies_elim2 :premises (@p13165)) % 1.61/1.84 (step @p13167 :rule not_implies_elim2 :premises (@p13166)) % 1.61/1.84 (step @p13168 :rule not_implies_elim2 :premises (@p13167)) % 1.61/1.84 (step @p13169 :rule not_implies_elim2 :premises (@p13168)) % 1.61/1.84 (step @p13170 :rule not_implies_elim2 :premises (@p13169)) % 1.61/1.84 (step @p13171 :rule not_implies_elim2 :premises (@p13170)) % 1.61/1.84 (step @p13172 :rule not_implies_elim2 :premises (@p13171)) % 1.61/1.84 (step @p13173 :rule not_implies_elim2 :premises (@p13172)) % 1.61/1.84 (step @p13174 :rule not_implies_elim2 :premises (@p13173)) % 1.61/1.84 (step @p13175 :rule not_implies_elim2 :premises (@p13174)) % 1.61/1.84 (step @p13176 :rule not_implies_elim2 :premises (@p13175)) % 1.61/1.84 (step @p13177 :rule not_implies_elim2 :premises (@p13176)) % 1.61/1.84 (step @p13178 :rule not_implies_elim2 :premises (@p13177)) % 1.61/1.84 (step @p13179 :rule not_implies_elim2 :premises (@p13178)) % 1.61/1.84 (step @p13180 :rule not_implies_elim2 :premises (@p13179)) % 1.61/1.84 (step @p13181 :rule not_implies_elim2 :premises (@p13180)) % 1.61/1.84 (step @p13182 :rule not_implies_elim2 :premises (@p13181)) % 1.61/1.84 (step @p13183 :rule not_implies_elim2 :premises (@p13182)) % 1.61/1.84 (step @p13184 :rule not_implies_elim2 :premises (@p13183)) % 1.61/1.84 (step @p13185 :rule not_implies_elim2 :premises (@p13184)) % 1.61/1.84 (step @p13186 :rule not_implies_elim2 :premises (@p13185)) % 1.61/1.84 (step @p13187 :rule not_implies_elim2 :premises (@p13186)) % 1.61/1.84 (step @p13188 :rule not_implies_elim2 :premises (@p13187)) % 1.61/1.84 (step @p13189 :rule not_implies_elim2 :premises (@p13188)) % 1.61/1.84 (step @p13190 :rule not_implies_elim2 :premises (@p13189)) % 1.61/1.84 (step @p13191 :rule not_implies_elim2 :premises (@p13190)) % 1.61/1.84 (step @p13192 :rule not_implies_elim2 :premises (@p13191)) % 1.61/1.84 (step @p13193 :rule not_implies_elim2 :premises (@p13192)) % 1.61/1.84 (step @p13194 :rule not_implies_elim2 :premises (@p13193)) % 1.61/1.84 (step @p13195 :rule not_implies_elim2 :premises (@p13194)) % 1.61/1.84 (step @p13196 :rule not_implies_elim2 :premises (@p13195)) % 1.61/1.84 (step @p13197 :rule not_implies_elim2 :premises (@p13196)) % 1.61/1.84 (step @p13198 :rule not_implies_elim2 :premises (@p13197)) % 1.61/1.84 (step @p13199 :rule not_implies_elim2 :premises (@p13198)) % 1.61/1.84 (step @p13200 :rule not_implies_elim2 :premises (@p13199)) % 1.61/1.84 (step @p13201 :rule not_implies_elim2 :premises (@p13200)) % 1.61/1.84 (step @p13202 :rule not_implies_elim2 :premises (@p13201)) % 1.61/1.84 (step @p13203 :rule not_implies_elim2 :premises (@p13202)) % 1.61/1.84 (step @p13204 :rule not_implies_elim2 :premises (@p13203)) % 1.61/1.84 (step @p13205 :rule not_implies_elim2 :premises (@p13204)) % 1.61/1.84 (step @p13206 :rule not_implies_elim2 :premises (@p13205)) % 1.61/1.84 (step @p13207 :rule not_implies_elim2 :premises (@p13206)) % 1.61/1.84 (step @p13208 :rule not_implies_elim2 :premises (@p13207)) % 1.61/1.84 (step @p13209 :rule not_implies_elim2 :premises (@p13208)) % 1.61/1.84 (step @p13210 :rule not_implies_elim2 :premises (@p13209)) % 1.61/1.84 (step @p13211 :rule not_implies_elim2 :premises (@p13210)) % 1.61/1.84 (step @p13212 :rule not_implies_elim2 :premises (@p13211)) % 1.61/1.84 (step @p13213 :rule not_implies_elim2 :premises (@p13212)) % 1.61/1.84 (step @p13214 :rule not_implies_elim2 :premises (@p13213)) % 1.61/1.84 (step @p13215 :rule not_implies_elim2 :premises (@p13214)) % 1.61/1.84 (step @p13216 :rule not_implies_elim2 :premises (@p13215)) % 1.61/1.84 (step @p13217 :rule not_implies_elim2 :premises (@p13216)) % 1.61/1.84 (step @p13218 :rule not_implies_elim2 :premises (@p13217)) % 1.61/1.84 (step @p13219 :rule not_implies_elim2 :premises (@p13218)) % 1.61/1.84 (step @p13220 :rule not_implies_elim2 :premises (@p13219)) % 1.61/1.84 (step @p13221 :rule not_implies_elim2 :premises (@p13220)) % 1.61/1.84 (step @p13222 :rule not_implies_elim2 :premises (@p13221)) % 1.61/1.84 (step @p13223 :rule not_implies_elim2 :premises (@p13222)) % 1.61/1.84 (step @p13224 :rule not_implies_elim2 :premises (@p13223)) % 1.61/1.84 (step @p13225 :rule not_implies_elim2 :premises (@p13224)) % 1.61/1.84 (step @p13226 :rule not_implies_elim2 :premises (@p13225)) % 1.61/1.84 (step @p13227 :rule not_implies_elim2 :premises (@p13226)) % 1.61/1.84 (step @p13228 :rule not_implies_elim2 :premises (@p13227)) % 1.61/1.84 (step @p13229 :rule not_implies_elim2 :premises (@p13228)) % 1.61/1.84 (step @p13230 :rule not_implies_elim2 :premises (@p13229)) % 1.61/1.84 (step @p13231 :rule not_implies_elim2 :premises (@p13230)) % 1.61/1.84 (step @p13232 :rule not_implies_elim2 :premises (@p13231)) % 1.61/1.84 (step @p13233 :rule not_implies_elim2 :premises (@p13232)) % 1.61/1.84 (step @p13234 :rule not_implies_elim2 :premises (@p13233)) % 1.61/1.84 (step @p13235 :rule not_implies_elim2 :premises (@p13234)) % 1.61/1.84 (step @p13236 :rule not_implies_elim2 :premises (@p13235)) % 1.61/1.84 (step @p13237 :rule not_implies_elim2 :premises (@p13236)) % 1.61/1.84 (step @p13238 :rule not_implies_elim2 :premises (@p13237)) % 1.61/1.84 (step @p13239 :rule not_implies_elim2 :premises (@p13238)) % 1.61/1.84 (step @p13240 :rule not_implies_elim2 :premises (@p13239)) % 1.61/1.84 (step @p13241 :rule not_implies_elim2 :premises (@p13240)) % 1.61/1.84 (step @p13242 :rule not_implies_elim2 :premises (@p13241)) % 1.61/1.84 (step @p13243 :rule not_implies_elim2 :premises (@p13242)) % 1.61/1.84 (step @p13244 :rule not_implies_elim2 :premises (@p13243)) % 1.61/1.84 (step @p13245 :rule not_implies_elim2 :premises (@p13244)) % 1.61/1.84 (step @p13246 :rule not_implies_elim2 :premises (@p13245)) % 1.61/1.84 (step @p13247 :rule not_implies_elim2 :premises (@p13246)) % 1.61/1.84 (step @p13248 :rule not_implies_elim2 :premises (@p13247)) % 1.61/1.84 (step @p13249 :rule not_implies_elim2 :premises (@p13248)) % 1.61/1.84 (step @p13250 :rule not_implies_elim2 :premises (@p13249)) % 1.61/1.84 (step @p13251 :rule not_implies_elim2 :premises (@p13250)) % 1.61/1.84 (step @p13252 :rule not_implies_elim2 :premises (@p13251)) % 1.61/1.84 (step @p13253 :rule not_implies_elim2 :premises (@p13252)) % 1.61/1.84 (step @p13254 :rule not_implies_elim2 :premises (@p13253)) % 1.61/1.84 (step @p13255 :rule not_implies_elim2 :premises (@p13254)) % 1.61/1.84 (step @p13256 :rule not_implies_elim2 :premises (@p13255)) % 1.61/1.84 (step @p13257 :rule not_implies_elim2 :premises (@p13256)) % 1.61/1.84 (step @p13258 :rule not_implies_elim2 :premises (@p13257)) % 1.61/1.84 (step @p13259 :rule not_implies_elim2 :premises (@p13258)) % 1.61/1.84 (step @p13260 :rule not_implies_elim2 :premises (@p13259)) % 1.61/1.84 (step @p13261 :rule not_implies_elim2 :premises (@p13260)) % 1.61/1.84 (step @p13262 :rule not_implies_elim2 :premises (@p13261)) % 1.61/1.84 (step @p13263 :rule not_implies_elim2 :premises (@p13262)) % 1.61/1.84 (step @p13264 :rule not_implies_elim2 :premises (@p13263)) % 1.61/1.84 (step @p13265 :rule not_implies_elim2 :premises (@p13264)) % 1.61/1.84 (step @p13266 :rule not_implies_elim2 :premises (@p13265)) % 1.61/1.84 (step @p13267 :rule not_implies_elim2 :premises (@p13266)) % 1.61/1.84 (step @p13268 :rule not_implies_elim2 :premises (@p13267)) % 1.61/1.84 (step @p13269 :rule not_implies_elim2 :premises (@p13268)) % 1.61/1.84 (step @p13270 :rule not_implies_elim2 :premises (@p13269)) % 1.61/1.84 (step @p13271 :rule not_implies_elim2 :premises (@p13270)) % 1.61/1.84 (step @p13272 :rule not_implies_elim2 :premises (@p13271)) % 1.61/1.84 (step @p13273 :rule not_implies_elim2 :premises (@p13272)) % 1.61/1.84 (step @p13274 :rule not_implies_elim2 :premises (@p13273)) % 1.61/1.84 (step @p13275 :rule not_implies_elim2 :premises (@p13274)) % 1.61/1.84 (step @p13276 :rule not_implies_elim2 :premises (@p13275)) % 1.61/1.84 (step @p13277 :rule not_implies_elim2 :premises (@p13276)) % 1.61/1.84 (step @p13278 :rule not_implies_elim2 :premises (@p13277)) % 1.61/1.84 (step @p13279 :rule not_implies_elim2 :premises (@p13278)) % 1.61/1.84 (step @p13280 :rule not_implies_elim2 :premises (@p13279)) % 1.61/1.84 (step @p13281 :rule not_implies_elim2 :premises (@p13280)) % 1.61/1.84 (step @p13282 :rule not_implies_elim2 :premises (@p13281)) % 1.61/1.84 (step @p13283 :rule not_implies_elim2 :premises (@p13282)) % 1.61/1.84 (step @p13284 :rule not_implies_elim2 :premises (@p13283)) % 1.61/1.84 (step @p13285 :rule not_implies_elim2 :premises (@p13284)) % 1.61/1.84 (step @p13286 :rule not_implies_elim2 :premises (@p13285)) % 1.61/1.84 (step @p13287 :rule not_implies_elim2 :premises (@p13286)) % 1.61/1.84 (step @p13288 :rule not_implies_elim2 :premises (@p13287)) % 1.61/1.84 (step @p13289 :rule not_implies_elim2 :premises (@p13288)) % 1.61/1.84 (step @p13290 :rule not_implies_elim2 :premises (@p13289)) % 1.61/1.84 (step @p13291 :rule not_implies_elim2 :premises (@p13290)) % 1.61/1.84 (step @p13292 :rule not_implies_elim2 :premises (@p13291)) % 1.61/1.84 (step @p13293 :rule not_implies_elim2 :premises (@p13292)) % 1.61/1.84 (step @p13294 :rule not_implies_elim2 :premises (@p13293)) % 1.61/1.84 (step @p13295 :rule not_implies_elim2 :premises (@p13294)) % 1.61/1.84 (step @p13296 :rule not_implies_elim2 :premises (@p13295)) % 1.61/1.84 (step @p13297 :rule not_implies_elim2 :premises (@p13296)) % 1.61/1.84 (step @p13298 :rule not_implies_elim2 :premises (@p13297)) % 1.61/1.84 (step @p13299 :rule not_implies_elim2 :premises (@p13298)) % 1.61/1.84 (step @p13300 :rule not_implies_elim2 :premises (@p13299)) % 1.61/1.84 (step @p13301 :rule not_implies_elim2 :premises (@p13300)) % 1.61/1.84 (step @p13302 :rule not_implies_elim2 :premises (@p13301)) % 1.61/1.84 (step @p13303 :rule not_implies_elim2 :premises (@p13302)) % 1.61/1.84 (step @p13304 :rule not_implies_elim2 :premises (@p13303)) % 1.61/1.84 (step @p13305 :rule not_implies_elim2 :premises (@p13304)) % 1.61/1.84 (step @p13306 :rule not_implies_elim2 :premises (@p13305)) % 1.61/1.84 (step @p13307 :rule not_implies_elim2 :premises (@p13306)) % 1.61/1.84 (step @p13308 :rule not_implies_elim2 :premises (@p13307)) % 1.61/1.84 (step @p13309 :rule not_implies_elim2 :premises (@p13308)) % 1.61/1.84 (step @p13310 :rule not_implies_elim2 :premises (@p13309)) % 1.61/1.84 (step @p13311 :rule not_implies_elim2 :premises (@p13310)) % 1.61/1.84 (step @p13312 :rule not_implies_elim2 :premises (@p13311)) % 1.61/1.84 (step @p13313 :rule not_implies_elim2 :premises (@p13312)) % 1.61/1.84 (step @p13314 :rule not_implies_elim2 :premises (@p13313)) % 1.61/1.84 (step @p13315 :rule not_implies_elim2 :premises (@p13314)) % 1.61/1.84 (step @p13316 :rule not_implies_elim2 :premises (@p13315)) % 1.61/1.84 (step @p13317 :rule not_implies_elim2 :premises (@p13316)) % 1.61/1.84 (step @p13318 :rule not_implies_elim2 :premises (@p13317)) % 1.61/1.84 (step @p13319 :rule not_implies_elim2 :premises (@p13318)) % 1.61/1.84 (step @p13320 :rule not_implies_elim2 :premises (@p13319)) % 1.61/1.84 (step @p13321 :rule not_implies_elim2 :premises (@p13320)) % 1.61/1.84 (step @p13322 :rule not_implies_elim2 :premises (@p13321)) % 1.61/1.84 (step @p13323 :rule not_implies_elim2 :premises (@p13322)) % 1.61/1.84 (step @p13324 :rule not_implies_elim2 :premises (@p13323)) % 1.61/1.84 (step @p13325 :rule not_implies_elim2 :premises (@p13324)) % 1.61/1.84 (step @p13326 :rule not_implies_elim2 :premises (@p13325)) % 1.61/1.84 (step @p13327 :rule not_implies_elim2 :premises (@p13326)) % 1.61/1.84 (step @p13328 :rule not_implies_elim2 :premises (@p13327)) % 1.61/1.84 (step @p13329 :rule not_implies_elim2 :premises (@p13328)) % 1.61/1.84 (step @p13330 :rule not_implies_elim2 :premises (@p13329)) % 1.61/1.84 (step @p13331 :rule not_implies_elim2 :premises (@p13330)) % 1.61/1.84 (step @p13332 :rule not_implies_elim2 :premises (@p13331)) % 1.61/1.84 (step @p13333 :rule not_implies_elim2 :premises (@p13332)) % 1.61/1.84 (step @p13334 :rule not_implies_elim2 :premises (@p13333)) % 1.61/1.84 (step @p13335 :rule not_implies_elim2 :premises (@p13334)) % 1.61/1.84 (step @p13336 :rule not_implies_elim2 :premises (@p13335)) % 1.61/1.84 (step @p13337 :rule not_implies_elim2 :premises (@p13336)) % 1.61/1.84 (step @p13338 :rule not_implies_elim2 :premises (@p13337)) % 1.61/1.84 (step @p13339 :rule not_implies_elim2 :premises (@p13338)) % 1.61/1.84 (step @p13340 :rule not_implies_elim2 :premises (@p13339)) % 1.61/1.84 (step @p13341 :rule not_implies_elim2 :premises (@p13340)) % 1.61/1.84 (step @p13342 :rule not_implies_elim2 :premises (@p13341)) % 1.61/1.84 (step @p13343 :rule not_implies_elim2 :premises (@p13342)) % 1.61/1.84 (step @p13344 :rule not_implies_elim2 :premises (@p13343)) % 1.61/1.84 (step @p13345 :rule not_implies_elim2 :premises (@p13344)) % 1.61/1.84 (step @p13346 :rule not_implies_elim2 :premises (@p13345)) % 1.61/1.84 (step @p13347 :rule not_implies_elim2 :premises (@p13346)) % 1.61/1.84 (step @p13348 :rule skolemize :premises (@p13347)) % 1.61/1.84 (step @p13349 :rule cnf_or_neg :args (@t7121 5)) % 1.61/1.84 (step @p13350 :rule chain_m_resolution :premises (@p13349 @p13348) :args ((not @t7114) @t7122 @t7123)) % 1.61/1.84 (step @p13351 :rule cnf_or_neg :args (@t7121 4)) % 1.61/1.84 (step @p13352 :rule chain_m_resolution :premises (@p13351 @p13348) :args ((not @t7119) @t7122 @t7123)) % 1.61/1.84 (step @p13353 :rule not_implies_elim1 :premises (@p13147)) % 1.61/1.84 (step @p13354 :rule instantiate :premises (@p13353) :args (@t7124)) % 1.61/1.84 (step @p13355 :rule cnf_or_pos :args (@t7125)) % 1.61/1.84 (step @p13356 :rule reordering :premises (@p13355) :args ((or @t7118 @t7114 (not @t7125)))) % 1.61/1.84 (step @p13357 :rule chain_m_resolution :premises (@p13356 @p13350 @p13354) :args (@t7118 @t7126 (@list @t7114 @t7125))) % 1.61/1.84 (step @p13358 :rule bool-double-not-elim :args (@t7115)) % 1.61/1.84 (step @p13359 :rule bool-double-not-elim :args (@t7117)) % 1.61/1.84 (step @p13360 :rule refl :args (@t7119)) % 1.61/1.84 (step @p13361 :rule nary_cong :premises (@p13360 @p13359 @p13358) :args ((or @t7119 (not @t7118) (not @t7116)))) % 1.61/1.84 (step @p13362 :rule cnf_and_neg :args (@t7119)) % 1.61/1.84 (step @p13363 :rule eq_resolve :premises (@p13362 @p13361)) % 1.61/1.84 (step @p13364 :rule reordering :premises (@p13363) :args ((or @t7117 @t7115 @t7119))) % 1.61/1.84 (step @p13365 :rule chain_m_resolution :premises (@p13364 @p13357 @p13352) :args (@t7115 (@list true true) (@list @t7117 @t7119))) % 1.61/1.84 (step @p13366 :rule cnf_or_pos :args (@t7127)) % 1.61/1.84 (step @p13367 :rule reordering :premises (@p13366) :args ((or @t7116 @t7114 @t7128))) % 1.61/1.84 (step @p13368 :rule chain_m_resolution :premises (@p13367 @p13365 @p13350) :args (@t7128 (@list false true) (@list @t7115 @t7114))) % 1.61/1.84 (assume-push @p13375 @t3051) % 1.61/1.84 (step @p13370 :rule instantiate :premises (@p13150) :args (@t7124)) % 1.61/1.84 (step-pop @p13376 :rule scope :premises (@p13370)) % 1.61/1.84 (step @p13371 :rule process_scope :premises (@p13376) :args (@t7127)) % 1.61/1.84 (step @p13373 :rule implies_elim :premises (@p13371)) % 1.61/1.84 (step @p13374 false :rule chain_m_resolution :premises (@p13373 @p13368 @p13150) :args (false @t7126 (@list @t7127 @t3051))) % 1.61/1.84 ) % 1.61/1.84 % SZS output end Proof % 1.61/1.84 % cvc5 exiting %------------------------------------------------------------------------------