%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU801^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:53:15 AM UTC 2026 % Result : Theorem 1.62s 1.89s % Output : Proof 1.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU801^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:52:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.40/0.66 %----Proving TH0 % 1.62/1.89 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.62/1.89 % SZS status Theorem % 1.62/1.89 % SZS output start Proof % 1.62/1.89 ( % 1.62/1.89 (declare-sort $$unsorted 0) % 1.62/1.89 (declare-const tptp.emptyset $$unsorted) % 1.62/1.89 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.62/1.89 (declare-const tptp.injFuncSetFuncInj Bool) % 1.62/1.89 (declare-const tptp.injFuncSetFuncIn Bool) % 1.62/1.89 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.injFuncSet (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.image1E Bool) % 1.62/1.89 (declare-const tptp.image1Equiv Bool) % 1.62/1.89 (declare-const tptp.image1Ex1 Bool) % 1.62/1.89 (declare-const tptp.image1Ex Bool) % 1.62/1.89 (declare-const tptp.woz2B Bool) % 1.62/1.89 (declare-const tptp.woz2A Bool) % 1.62/1.89 (declare-const tptp.woz2Ex Bool) % 1.62/1.89 (declare-const tptp.breln1unionE Bool) % 1.62/1.89 (declare-const tptp.breln1unionIL Bool) % 1.62/1.89 (declare-const tptp.breln1compEex Bool) % 1.62/1.89 (declare-const tptp.breln1compprop Bool) % 1.62/1.89 (declare-const tptp.breln1invI Bool) % 1.62/1.89 (declare-const tptp.breln1invprop Bool) % 1.62/1.89 (declare-const tptp.choice2fnsingleton Bool) % 1.62/1.89 (declare-const tptp.reflwellordering (-> $$unsorted $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.breln1SetBreln1 Bool) % 1.62/1.89 (declare-const tptp.breln1Set (-> $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.breln1all2 Bool) % 1.62/1.89 (declare-const tptp.woz1_3 Bool) % 1.62/1.89 (declare-const tptp.woz1_2 Bool) % 1.62/1.89 (declare-const tptp.woz1_1 Bool) % 1.62/1.89 (declare-const tptp.woz13rule3 Bool) % 1.62/1.89 (declare-const tptp.woz13rule2 Bool) % 1.62/1.89 (declare-const tptp.woz13rule1 Bool) % 1.62/1.89 (declare-const tptp.woz13rule0 Bool) % 1.62/1.89 (declare-const tptp.demorgan2b Bool) % 1.62/1.89 (declare-const tptp.demorgan2a Bool) % 1.62/1.89 (declare-const tptp.demorgan1a Bool) % 1.62/1.89 (declare-const tptp.demorgan2a2 Bool) % 1.62/1.89 (declare-const tptp.complementUnionInPowersetComplement Bool) % 1.62/1.89 (declare-const tptp.demorgan2a1 Bool) % 1.62/1.89 (declare-const tptp.binunionTE Bool) % 1.62/1.89 (declare-const tptp.inComplementUnionImpInComplement1 Bool) % 1.62/1.89 (declare-const tptp.inComplementUnionImpNotIn1 Bool) % 1.62/1.89 (declare-const tptp.intersectInPowersetIntersectUnions Bool) % 1.62/1.89 (declare-const tptp.inIntersectImpInUnion2 Bool) % 1.62/1.89 (declare-const tptp.inIntersectImpInUnion Bool) % 1.62/1.89 (declare-const tptp.binunionTILcontra Bool) % 1.62/1.89 (declare-const tptp.complementTcontraSubset Bool) % 1.62/1.89 (declare-const tptp.contraSubsetComplement Bool) % 1.62/1.89 (declare-const tptp.breln1unionI Bool) % 1.62/1.89 (declare-const tptp.complementInPowersetComplementIntersect Bool) % 1.62/1.89 (declare-const tptp.complementImpComplementIntersect Bool) % 1.62/1.89 (declare-const tptp.complementTnotintersectT Bool) % 1.62/1.89 (declare-const tptp.doubleComplementEq Bool) % 1.62/1.89 (declare-const tptp.doubleComplementE1 Bool) % 1.62/1.89 (declare-const tptp.doubleComplementI1 Bool) % 1.62/1.89 (declare-const tptp.binintersectTERcontra Bool) % 1.62/1.89 (declare-const tptp.complementTE1 Bool) % 1.62/1.89 (declare-const tptp.eqbreln1 Bool) % 1.62/1.89 (declare-const tptp.complementTI1 Bool) % 1.62/1.89 (declare-const tptp.powersetTI1 Bool) % 1.62/1.89 (declare-const tptp.subsetTI Bool) % 1.62/1.89 (declare-const tptp.binintersectER Bool) % 1.62/1.89 (declare-const tptp.setext Bool) % 1.62/1.89 (declare-const tptp.binintersectSubset2 Bool) % 1.62/1.89 (declare-const tptp.binintersectEL Bool) % 1.62/1.89 (declare-const tptp.lam2lamEq Bool) % 1.62/1.89 (declare-const tptp.doubleComplementSub2 Bool) % 1.62/1.89 (declare-const tptp.binintersectI Bool) % 1.62/1.89 (declare-const tptp.exuI1 Bool) % 1.62/1.89 (declare-const tptp.breln1compE Bool) % 1.62/1.89 (declare-const tptp.binunionEcases Bool) % 1.62/1.89 (declare-const tptp.quantDeMorgan3 Bool) % 1.62/1.89 (declare-const tptp.descrp Bool) % 1.62/1.89 (declare-const tptp.binunionIR Bool) % 1.62/1.89 (declare-const tptp.binunionIL Bool) % 1.62/1.89 (declare-const tptp.contrasubsetT2 Bool) % 1.62/1.89 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.ex1 (-> $$unsorted (-> $$unsorted Bool) Bool)) % 1.62/1.89 (declare-const tptp.setextsub Bool) % 1.62/1.89 (declare-const tptp.singletonsubset Bool) % 1.62/1.89 (declare-const tptp.disjointsetsI1 Bool) % 1.62/1.89 (declare-const tptp.singleton (-> $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.kpairiskpair Bool) % 1.62/1.89 (declare-const tptp.setadjoinSub Bool) % 1.62/1.89 (declare-const tptp.subbreln1 Bool) % 1.62/1.89 (declare-const tptp.notequalI2 Bool) % 1.62/1.89 (declare-const tptp.funcGraphProp1 Bool) % 1.62/1.89 (declare-const tptp.notsubsetI Bool) % 1.62/1.89 (declare-const tptp.subsetI2 Bool) % 1.62/1.89 (declare-const tptp.symdiffE Bool) % 1.62/1.89 (declare-const tptp.binintersectT_lem Bool) % 1.62/1.89 (declare-const tptp.powerset__Cong Bool) % 1.62/1.89 (declare-const tptp.binintersectRsub Bool) % 1.62/1.89 (declare-const tptp.emptyset__Cong Bool) % 1.62/1.89 (declare-const tptp.complementSubsetComplementIntersect Bool) % 1.62/1.89 (declare-const tptp.binintersectSubset3 Bool) % 1.62/1.89 (declare-const tptp.exu__Cong Bool) % 1.62/1.89 (declare-const tptp.breln1unionprop Bool) % 1.62/1.89 (declare-const tptp.funcImageSingleton Bool) % 1.62/1.89 (declare-const tptp.inCongP Bool) % 1.62/1.89 (declare-const tptp.subsetE2 Bool) % 1.62/1.89 (declare-const tptp.setunionsingleton2 Bool) % 1.62/1.89 (declare-const tptp.exuI3 Bool) % 1.62/1.89 (declare-const tptp.subsetE Bool) % 1.62/1.89 (declare-const tptp.sepSubset Bool) % 1.62/1.89 (declare-const tptp.dsetconstr__Cong Bool) % 1.62/1.89 (declare-const tptp.setminusSubset2 Bool) % 1.62/1.89 (declare-const tptp.demorgan2b2 Bool) % 1.62/1.89 (declare-const tptp.quantDeMorgan1 Bool) % 1.62/1.89 (declare-const tptp.ubforcartprodlem1 Bool) % 1.62/1.89 (declare-const tptp.contrasubsetT1 Bool) % 1.62/1.89 (declare-const tptp.sepInPowerset Bool) % 1.62/1.89 (declare-const tptp.setukpairinjR Bool) % 1.62/1.89 (declare-const tptp.notequalI1 Bool) % 1.62/1.89 (declare-const tptp.symdiffIneg1 Bool) % 1.62/1.89 (declare-const tptp.omega__Cong Bool) % 1.62/1.89 (declare-const tptp.setadjoinIL Bool) % 1.62/1.89 (declare-const tptp.woz1_5 Bool) % 1.62/1.89 (declare-const tptp.exuEu Bool) % 1.62/1.89 (declare-const tptp.prop2setE Bool) % 1.62/1.89 (declare-const tptp.exuI2 Bool) % 1.62/1.89 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.62/1.89 (declare-const tptp.vacuousDall Bool) % 1.62/1.89 (declare-const tptp.eta1 Bool) % 1.62/1.89 (declare-const tptp.binunionLsub Bool) % 1.62/1.89 (declare-const tptp.prop2set2propI Bool) % 1.62/1.89 (declare-const tptp.dsetconstrEL Bool) % 1.62/1.89 (declare-const tptp.emptyinPowerset Bool) % 1.62/1.89 (declare-const tptp.dsetconstrI Bool) % 1.62/1.89 (declare-const tptp.demorgan1b Bool) % 1.62/1.89 (declare-const tptp.ap2apEq1 Bool) % 1.62/1.89 (declare-const tptp.binintersectLsub Bool) % 1.62/1.89 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.setminusT_lem Bool) % 1.62/1.89 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.62/1.89 (declare-const tptp.breln1compset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.wellorderingAx Bool) % 1.62/1.89 (declare-const tptp.omega0Ax Bool) % 1.62/1.89 (declare-const tptp.ksndsingleton Bool) % 1.62/1.89 (declare-const tptp.breln1invset (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.replAx Bool) % 1.62/1.89 (declare-const tptp.upairinpowunion Bool) % 1.62/1.89 (declare-const tptp.upairsetE Bool) % 1.62/1.89 (declare-const tptp.setadjoinOr Bool) % 1.62/1.89 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.setukpairIL Bool) % 1.62/1.89 (declare-const tptp.funcGraphProp3 Bool) % 1.62/1.89 (declare-const tptp.woz13rule4 Bool) % 1.62/1.89 (declare-const tptp.exuE3u Bool) % 1.62/1.89 (declare-const tptp.foundationAx Bool) % 1.62/1.89 (declare-const tptp.binintersectSubset4 Bool) % 1.62/1.89 (declare-const tptp.emptysetimpfalse Bool) % 1.62/1.89 (declare-const tptp.dpsetconstrEL2 Bool) % 1.62/1.89 (declare-const tptp.subsetRefl Bool) % 1.62/1.89 (declare-const tptp.dpsetconstrER Bool) % 1.62/1.89 (declare-const tptp.injFuncInInjFuncSet Bool) % 1.62/1.89 (declare-const tptp.binunionTEcontra Bool) % 1.62/1.89 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.exuE2 Bool) % 1.62/1.89 (declare-const tptp.setukpairinjL Bool) % 1.62/1.89 (declare-const tptp.eqimpsubset2 Bool) % 1.62/1.89 (declare-const tptp.complementT_lem Bool) % 1.62/1.89 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.setminusLsub Bool) % 1.62/1.89 (declare-const tptp.emptyinunitempty Bool) % 1.62/1.89 (declare-const tptp.setukpairinjL1 Bool) % 1.62/1.89 (declare-const tptp.doubleComplementSub1 Bool) % 1.62/1.89 (declare-const tptp.binunionRsub Bool) % 1.62/1.89 (declare-const tptp.iftrueProp1 Bool) % 1.62/1.89 (declare-const tptp.notdallE Bool) % 1.62/1.89 (declare-const tptp.beta1 Bool) % 1.62/1.89 (declare-const tptp.breln1unionIR Bool) % 1.62/1.89 (declare-const tptp.dsetconstrER Bool) % 1.62/1.89 (declare-const tptp.cartprodpairin Bool) % 1.62/1.89 (declare-const tptp.eqimpsubset1 Bool) % 1.62/1.89 (declare-const tptp.emptyInPowerset Bool) % 1.62/1.89 (declare-const tptp.breln1all1 Bool) % 1.62/1.89 (declare-const tptp.omega $$unsorted) % 1.62/1.89 (declare-const tptp.setadjoinAx Bool) % 1.62/1.89 (declare-const tptp.subsetemptysetimpeq Bool) % 1.62/1.89 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.iftrue Bool) % 1.62/1.89 (declare-const tptp.powersetAx Bool) % 1.62/1.89 (declare-const tptp.setminusELneg Bool) % 1.62/1.89 (declare-const tptp.powersetE Bool) % 1.62/1.89 (declare-const tptp.powersetTE1 Bool) % 1.62/1.89 (declare-const tptp.omegaSAx Bool) % 1.62/1.89 (declare-const tptp.setukpairinjL2 Bool) % 1.62/1.89 (declare-const tptp.upairset2IR Bool) % 1.62/1.89 (declare-const tptp.funcext Bool) % 1.62/1.89 (declare-const tptp.setoftrueEq Bool) % 1.62/1.89 (declare-const tptp.breln1unionCommutes Bool) % 1.62/1.89 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 1.62/1.89 (declare-const tptp.setadjoin__Cong Bool) % 1.62/1.89 (declare-const tptp.iffalse Bool) % 1.62/1.89 (declare-const tptp.setunionAx Bool) % 1.62/1.89 (declare-const tptp.omegaIndAx Bool) % 1.62/1.89 (declare-const tptp.setunionE Bool) % 1.62/1.89 (declare-const tptp.quantDeMorgan4 Bool) % 1.62/1.89 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 1.62/1.89 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.emptyI Bool) % 1.62/1.89 (declare-const tptp.binunionTIRcontra Bool) % 1.62/1.89 (declare-const tptp.noeltsimpempty Bool) % 1.62/1.89 (declare-const tptp.setminusER Bool) % 1.62/1.89 (declare-const tptp.kpairp Bool) % 1.62/1.89 (declare-const tptp.funcGraphProp4 Bool) % 1.62/1.89 (declare-const tptp.upairsetIL Bool) % 1.62/1.89 (declare-const tptp.nonemptyI Bool) % 1.62/1.89 (declare-const tptp.subsetI1 Bool) % 1.62/1.89 (declare-const tptp.emptysetAx Bool) % 1.62/1.89 (declare-const tptp.in__Cong Bool) % 1.62/1.89 (declare-const tptp.ifp Bool) % 1.62/1.89 (declare-const tptp.nonemptyI1 Bool) % 1.62/1.89 (declare-const tptp.singletonsuniq Bool) % 1.62/1.89 (declare-const tptp.breln1 (-> $$unsorted $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.descr__Cong Bool) % 1.62/1.89 (declare-const tptp.setminusEL Bool) % 1.62/1.89 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.setadjoinE Bool) % 1.62/1.89 (declare-const tptp.kfstsingleton Bool) % 1.62/1.89 (declare-const tptp.setunionsingleton1 Bool) % 1.62/1.89 (declare-const tptp.notdexE Bool) % 1.62/1.89 (declare-const tptp.setunionI Bool) % 1.62/1.89 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.contrasubsetT3 Bool) % 1.62/1.89 (declare-const tptp.dpsetconstrSub Bool) % 1.62/1.89 (declare-const tptp.exuE1 Bool) % 1.62/1.89 (declare-const tptp.binintersectSubset5 Bool) % 1.62/1.89 (declare-const tptp.image1I Bool) % 1.62/1.89 (declare-const tptp.subPowSU Bool) % 1.62/1.89 (declare-const tptp.singletonsswitch Bool) % 1.62/1.89 (declare-const tptp.powersetE1 Bool) % 1.62/1.89 (declare-const tptp.subbreln Bool) % 1.62/1.89 (declare-const tptp.setunion__Cong Bool) % 1.62/1.89 (declare-const tptp.ex1I2 Bool) % 1.62/1.89 (declare-const tptp.inPowerset Bool) % 1.62/1.89 (declare-const tptp.upairset2E Bool) % 1.62/1.89 (declare-const tptp.emptyE1 Bool) % 1.62/1.89 (declare-const tptp.binintersectTELcontra Bool) % 1.62/1.89 (declare-const tptp.subset2powerset Bool) % 1.62/1.89 (declare-const tptp.cartprodpairmemEL Bool) % 1.62/1.89 (declare-const tptp.notinemptyset Bool) % 1.62/1.89 (declare-const tptp.binintersectSubset1 Bool) % 1.62/1.89 (declare-const tptp.bs114d Bool) % 1.62/1.89 (declare-const tptp.app Bool) % 1.62/1.89 (declare-const tptp.iftrueProp2 Bool) % 1.62/1.89 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.setminusI Bool) % 1.62/1.89 (declare-const tptp.woz2W Bool) % 1.62/1.89 (declare-const tptp.setminusERneg Bool) % 1.62/1.89 (declare-const tptp.setminusILneg Bool) % 1.62/1.89 (declare-const tptp.setminusIRneg Bool) % 1.62/1.89 (declare-const tptp.setbeta Bool) % 1.62/1.89 (declare-const tptp.lamp Bool) % 1.62/1.89 (declare-const tptp.symdiffI1 Bool) % 1.62/1.89 (declare-const tptp.powersetI Bool) % 1.62/1.89 (declare-const tptp.symdiffI2 Bool) % 1.62/1.89 (declare-const tptp.symdiffIneg2 Bool) % 1.62/1.89 (declare-const tptp.emptysetsubset Bool) % 1.62/1.89 (declare-const tptp.setukpairinjR12 Bool) % 1.62/1.89 (declare-const tptp.image1 (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 1.62/1.89 (declare-const tptp.secondinupair Bool) % 1.62/1.89 (declare-const tptp.setukpairinjR1 Bool) % 1.62/1.89 (declare-const tptp.setukpairIR Bool) % 1.62/1.89 (declare-const tptp.setOfPairsIsBReln1 Bool) % 1.62/1.89 (declare-const tptp.setukpairinjR2 Bool) % 1.62/1.89 (declare-const tptp.singletoninpowerset Bool) % 1.62/1.89 (declare-const tptp.notinsingleton Bool) % 1.62/1.89 (declare-const tptp.singletoninpowunion Bool) % 1.62/1.89 (declare-const tptp.eqinunit Bool) % 1.62/1.89 (declare-const tptp.upairsubunion Bool) % 1.62/1.89 (declare-const tptp.demorgan1 Bool) % 1.62/1.89 (declare-const tptp.upairsetIR Bool) % 1.62/1.89 (declare-const tptp.ubforcartprodlem2 Bool) % 1.62/1.89 (declare-const tptp.ubforcartprodlem3 Bool) % 1.62/1.89 (declare-const tptp.nonemptyImpWitness Bool) % 1.62/1.89 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.demorgan2 Bool) % 1.62/1.89 (declare-const tptp.cartprodmempair Bool) % 1.62/1.89 (declare-const tptp.setOfPairsIsBReln Bool) % 1.62/1.89 (declare-const tptp.prop2setI Bool) % 1.62/1.89 (declare-const tptp.setunionE2 Bool) % 1.62/1.89 (declare-const tptp.setunionsingleton Bool) % 1.62/1.89 (declare-const tptp.ifSingleton Bool) % 1.62/1.89 (declare-const tptp.singletonprop Bool) % 1.62/1.89 (declare-const tptp.ex1E1 Bool) % 1.62/1.89 (declare-const tptp.ex1I Bool) % 1.62/1.89 (declare-const tptp.woz1_4 Bool) % 1.62/1.89 (declare-const tptp.theprop Bool) % 1.62/1.89 (declare-const tptp.kfstpairEq Bool) % 1.62/1.89 (declare-const tptp.setextAx Bool) % 1.62/1.89 (declare-const tptp.cartprodfstin Bool) % 1.62/1.89 (declare-const tptp.nonemptyE1 Bool) % 1.62/1.89 (declare-const tptp.lam2p Bool) % 1.62/1.89 (declare-const tptp.setextT Bool) % 1.62/1.89 (declare-const tptp.setukpairinjR11 Bool) % 1.62/1.89 (declare-const tptp.inIntersectImpInIntersectUnions Bool) % 1.62/1.89 (declare-const tptp.ex1E2 Bool) % 1.62/1.89 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.upairequniteq Bool) % 1.62/1.89 (declare-const tptp.funcGraphProp2 Bool) % 1.62/1.89 (declare-const tptp.subsetTrans Bool) % 1.62/1.89 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.ksndpairEq Bool) % 1.62/1.89 (declare-const tptp.kpairsurjEq Bool) % 1.62/1.89 (declare-const tptp.setadjoinSub2 Bool) % 1.62/1.89 (declare-const tptp.cartprodsndin Bool) % 1.62/1.89 (declare-const tptp.cartprodpairmemER Bool) % 1.62/1.89 (declare-const tptp.cartprodmempaircEq Bool) % 1.62/1.89 (declare-const tptp.breln1invE Bool) % 1.62/1.89 (declare-const tptp.powersetI1 Bool) % 1.62/1.89 (declare-const tptp.cartprodfstpairEq Bool) % 1.62/1.89 (declare-const tptp.contrasubsetT Bool) % 1.62/1.89 (declare-const tptp.cartprodsndpairEq Bool) % 1.62/1.89 (declare-const tptp.powersetsubset Bool) % 1.62/1.89 (declare-const tptp.cartprodpairsurjEq Bool) % 1.62/1.89 (declare-const tptp.breln1compI Bool) % 1.62/1.89 (declare-const tptp.dpsetconstrI Bool) % 1.62/1.89 (declare-const tptp.breln (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.funcext2 Bool) % 1.62/1.89 (declare-const tptp.binunionE Bool) % 1.62/1.89 (declare-const tptp.dpsetconstrERa Bool) % 1.62/1.89 (declare-const tptp.dpsetconstrEL1 Bool) % 1.62/1.89 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.apProp Bool) % 1.62/1.89 (declare-const tptp.emptysetE Bool) % 1.62/1.89 (declare-const tptp.infuncsetfunc Bool) % 1.62/1.89 (declare-const tptp.ap2p Bool) % 1.62/1.89 (declare-const tptp.exuE3e Bool) % 1.62/1.89 (declare-const tptp.funcinfuncset Bool) % 1.62/1.89 (declare-const tptp.breln1unionEcases Bool) % 1.62/1.89 (declare-const tptp.lamProp Bool) % 1.62/1.89 (declare-const tptp.brelnall1 Bool) % 1.62/1.89 (declare-const tptp.setadjoinIR Bool) % 1.62/1.89 (declare-const tptp.setminusSubset1 Bool) % 1.62/1.89 (declare-const tptp.brelnall2 Bool) % 1.62/1.89 (declare-const tptp.funcextLem Bool) % 1.62/1.89 (declare-const tptp.uniqinunit Bool) % 1.62/1.89 (declare-const tptp.eqbreln Bool) % 1.62/1.89 (declare-const tptp.ap2apEq2 Bool) % 1.62/1.89 (declare-const tptp.cartprodmempair1 Bool) % 1.62/1.89 (declare-const tptp.beta2 Bool) % 1.62/1.89 (declare-const tptp.quantDeMorgan2 Bool) % 1.62/1.89 (declare-const tptp.eta2 Bool) % 1.62/1.89 (declare-const tptp.iffalseProp1 Bool) % 1.62/1.89 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.62/1.89 (declare-const tptp.iffalseProp2 Bool) % 1.62/1.89 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 1.62/1.89 (declare-const tptp.theeq Bool) % 1.62/1.89 (declare-const tptp.iftrueorfalse Bool) % 1.62/1.89 (declare-const tptp.binunionT_lem Bool) % 1.62/1.89 (declare-const tptp.powersetT_lem Bool) % 1.62/1.89 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 1.62/1.89 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.62/1.89 (define tptp.surjective () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xf" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.in _let_1) _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (= (_ (_ (_ (_ tptp.ap _let_5) _let_4) _let_3) _let_2) _let_1)))))))))))) % 1.62/1.89 (define tptp.surjFuncSet () (let ((_let_1 (@var "Xf" $$unsorted))) (let ((_let_2 (@var "B" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ (_ tptp.dsetconstr (_ (_ tptp.funcSet _let_3) _let_2)) (lambda (@list _let_1) (_ (_ (_ tptp.surjective _let_3) _let_2) _let_1)))))))) % 1.62/1.89 (define @t1 () (@var "B" $$unsorted)) % 1.62/1.89 (define @t2 () (@var "A" $$unsorted)) % 1.62/1.89 (define @t3 () (= @t2 @t1)) % 1.62/1.89 (define @t4 () (@var "Xx" $$unsorted)) % 1.62/1.89 (define @t5 () (_ tptp.in @t4)) % 1.62/1.89 (define @t6 () (_ @t5 @t1)) % 1.62/1.89 (define @t7 () (_ @t5 @t2)) % 1.62/1.89 (define @t8 () (= @t7 @t6)) % 1.62/1.89 (define @t9 () (@list @t4)) % 1.62/1.89 (define @t10 () (forall @t9 @t8)) % 1.62/1.89 (define @t11 () (=> @t10 @t3)) % 1.62/1.89 (define @t12 () (@list @t2 @t1)) % 1.62/1.89 (define @t13 () (forall @t12 @t11)) % 1.62/1.89 (define @t14 () (= tptp.setextAx @t13)) % 1.62/1.89 (define @t15 () (_ @t5 tptp.emptyset)) % 1.62/1.89 (define @t16 () (not @t15)) % 1.62/1.89 (define @t17 () (forall @t9 @t16)) % 1.62/1.89 (define @t18 () (= tptp.emptysetAx @t17)) % 1.62/1.89 (define @t19 () (@var "Xy" $$unsorted)) % 1.62/1.89 (define @t20 () (_ tptp.in @t19)) % 1.62/1.89 (define @t21 () (_ @t20 @t2)) % 1.62/1.89 (define @t22 () (= @t19 @t4)) % 1.62/1.89 (define @t23 () (or @t22 @t21)) % 1.62/1.89 (define @t24 () (_ tptp.setadjoin @t4)) % 1.62/1.89 (define @t25 () (_ @t24 @t2)) % 1.62/1.89 (define @t26 () (_ @t20 @t25)) % 1.62/1.89 (define @t27 () (= @t26 @t23)) % 1.62/1.89 (define @t28 () (@list @t4 @t2 @t19)) % 1.62/1.89 (define @t29 () (forall @t28 @t27)) % 1.62/1.89 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.62/1.89 (define @t31 () (=> @t6 @t7)) % 1.62/1.89 (define @t32 () (forall @t9 @t31)) % 1.62/1.89 (define @t33 () (_ tptp.powerset @t2)) % 1.62/1.89 (define @t34 () (_ tptp.in @t1)) % 1.62/1.89 (define @t35 () (_ @t34 @t33)) % 1.62/1.89 (define @t36 () (= @t35 @t32)) % 1.62/1.89 (define @t37 () (forall @t12 @t36)) % 1.62/1.89 (define @t38 () (= tptp.powersetAx @t37)) % 1.62/1.89 (define @t39 () (_ @t34 @t2)) % 1.62/1.89 (define @t40 () (and @t6 @t39)) % 1.62/1.89 (define @t41 () (@list @t1)) % 1.62/1.89 (define @t42 () (exists @t41 @t40)) % 1.62/1.89 (define @t43 () (_ tptp.setunion @t2)) % 1.62/1.89 (define @t44 () (_ @t5 @t43)) % 1.62/1.89 (define @t45 () (= @t44 @t42)) % 1.62/1.89 (define @t46 () (@list @t2 @t4)) % 1.62/1.89 (define @t47 () (forall @t46 @t45)) % 1.62/1.89 (define @t48 () (= tptp.setunionAx @t47)) % 1.62/1.89 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.62/1.89 (define @t50 () (_ @t49 tptp.omega)) % 1.62/1.89 (define @t51 () (_ @t24 @t4)) % 1.62/1.89 (define @t52 () (_ tptp.in @t51)) % 1.62/1.89 (define @t53 () (_ @t52 tptp.omega)) % 1.62/1.89 (define @t54 () (_ @t5 tptp.omega)) % 1.62/1.89 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.62/1.89 (define @t56 () (= tptp.omegaSAx @t55)) % 1.62/1.89 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.62/1.89 (define @t58 () (_ @t52 @t2)) % 1.62/1.89 (define @t59 () (and @t54 @t7)) % 1.62/1.89 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.62/1.89 (define @t61 () (_ @t49 @t2)) % 1.62/1.89 (define @t62 () (and @t61 @t60)) % 1.62/1.89 (define @t63 () (=> @t62 @t57)) % 1.62/1.89 (define @t64 () (@list @t2)) % 1.62/1.89 (define @t65 () (forall @t64 @t63)) % 1.62/1.89 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.62/1.89 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.62/1.89 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.62/1.89 (define @t69 () (and @t21 @t68)) % 1.62/1.89 (define @t70 () (@list @t19)) % 1.62/1.89 (define @t71 () (exists @t70 @t69)) % 1.62/1.89 (define @t72 () (= @t6 @t71)) % 1.62/1.89 (define @t73 () (forall @t9 @t72)) % 1.62/1.89 (define @t74 () (exists @t41 @t73)) % 1.62/1.89 (define @t75 () (_ @t67 @t4)) % 1.62/1.89 (define @t76 () (_ @t75 @t19)) % 1.62/1.89 (define @t77 () (lambda @t70 @t76)) % 1.62/1.89 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.62/1.89 (define @t79 () (forall @t9 @t78)) % 1.62/1.89 (define @t80 () (=> @t79 @t74)) % 1.62/1.89 (define @t81 () (@list @t67 @t2)) % 1.62/1.89 (define @t82 () (forall @t81 @t80)) % 1.62/1.89 (define @t83 () (= tptp.replAx @t82)) % 1.62/1.89 (define @t84 () (and @t6 @t7)) % 1.62/1.89 (define @t85 () (exists @t9 @t84)) % 1.62/1.89 (define @t86 () (not @t85)) % 1.62/1.89 (define @t87 () (and @t39 @t86)) % 1.62/1.89 (define @t88 () (exists @t41 @t87)) % 1.62/1.89 (define @t89 () (exists @t9 @t7)) % 1.62/1.89 (define @t90 () (=> @t89 @t88)) % 1.62/1.89 (define @t91 () (forall @t64 @t90)) % 1.62/1.89 (define @t92 () (= tptp.foundationAx @t91)) % 1.62/1.89 (define @t93 () (@var "E" $$unsorted)) % 1.62/1.89 (define @t94 () (_ @t5 @t93)) % 1.62/1.89 (define @t95 () (@var "D" $$unsorted)) % 1.62/1.89 (define @t96 () (_ @t20 @t95)) % 1.62/1.89 (define @t97 () (_ @t20 @t93)) % 1.62/1.89 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.62/1.89 (define @t99 () (or @t98 @t94)) % 1.62/1.89 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.62/1.89 (define @t101 () (=> @t100 @t99)) % 1.62/1.89 (define @t102 () (@list @t93)) % 1.62/1.89 (define @t103 () (forall @t102 @t101)) % 1.62/1.89 (define @t104 () (@var "C" $$unsorted)) % 1.62/1.89 (define @t105 () (_ @t20 @t104)) % 1.62/1.89 (define @t106 () (and @t96 @t105)) % 1.62/1.89 (define @t107 () (exists @t70 @t106)) % 1.62/1.89 (define @t108 () (not @t107)) % 1.62/1.89 (define @t109 () (_ @t5 @t104)) % 1.62/1.89 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.62/1.89 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.62/1.89 (define @t112 () (@list @t95 @t4)) % 1.62/1.89 (define @t113 () (exists @t112 @t111)) % 1.62/1.89 (define @t114 () (exists @t9 @t109)) % 1.62/1.89 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.62/1.89 (define @t116 () (and @t115 @t114)) % 1.62/1.89 (define @t117 () (=> @t116 @t113)) % 1.62/1.89 (define @t118 () (@list @t104)) % 1.62/1.89 (define @t119 () (forall @t118 @t117)) % 1.62/1.89 (define @t120 () (_ @t5 @t95)) % 1.62/1.89 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.62/1.89 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.62/1.89 (define @t123 () (or @t122 @t121)) % 1.62/1.89 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.62/1.89 (define @t125 () (and @t124 @t110)) % 1.62/1.89 (define @t126 () (=> @t125 @t123)) % 1.62/1.89 (define @t127 () (@list @t104 @t95)) % 1.62/1.89 (define @t128 () (forall @t127 @t126)) % 1.62/1.89 (define @t129 () (= @t4 @t19)) % 1.62/1.89 (define @t130 () (= @t109 @t105)) % 1.62/1.89 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.62/1.89 (define @t132 () (=> @t131 @t129)) % 1.62/1.89 (define @t133 () (and @t7 @t21)) % 1.62/1.89 (define @t134 () (=> @t133 @t132)) % 1.62/1.89 (define @t135 () (@list @t4 @t19)) % 1.62/1.89 (define @t136 () (forall @t135 @t134)) % 1.62/1.89 (define @t137 () (=> @t124 @t115)) % 1.62/1.89 (define @t138 () (forall @t118 @t137)) % 1.62/1.89 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.62/1.89 (define @t140 () (exists @t41 @t139)) % 1.62/1.89 (define @t141 () (forall @t64 @t140)) % 1.62/1.89 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.62/1.89 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.62/1.89 (define @t144 () (_ @t143 @t4)) % 1.62/1.89 (define @t145 () (lambda @t9 @t144)) % 1.62/1.89 (define @t146 () (_ tptp.descr @t145)) % 1.62/1.89 (define @t147 () (_ @t143 @t146)) % 1.62/1.89 (define @t148 () (_ tptp.exu @t145)) % 1.62/1.89 (define @t149 () (=> @t148 @t147)) % 1.62/1.89 (define @t150 () (@list @t143)) % 1.62/1.89 (define @t151 () (forall @t150 @t149)) % 1.62/1.89 (define @t152 () (= tptp.descrp @t151)) % 1.62/1.89 (define @t153 () (_ @t143 @t19)) % 1.62/1.89 (define @t154 () (lambda @t70 @t153)) % 1.62/1.89 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.62/1.89 (define @t156 () (_ @t155 @t154)) % 1.62/1.89 (define @t157 () (_ @t5 @t156)) % 1.62/1.89 (define @t158 () (=> @t144 @t157)) % 1.62/1.89 (define @t159 () (@list @t2 @t143 @t4)) % 1.62/1.89 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.62/1.89 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.62/1.89 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.62/1.89 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.62/1.89 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.62/1.89 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.62/1.89 (define @t166 () (=> @t153 @t129)) % 1.62/1.89 (define @t167 () (forall @t70 @t166)) % 1.62/1.89 (define @t168 () (and @t144 @t167)) % 1.62/1.89 (define @t169 () (exists @t9 @t168)) % 1.62/1.89 (define @t170 () (=> @t148 @t169)) % 1.62/1.89 (define @t171 () (forall @t150 @t170)) % 1.62/1.89 (define @t172 () (= tptp.exuE1 @t171)) % 1.62/1.89 (define @t173 () (@var "Xphi" Bool)) % 1.62/1.89 (define @t174 () (_ tptp.prop2set @t173)) % 1.62/1.89 (define @t175 () (_ @t5 @t174)) % 1.62/1.89 (define @t176 () (@list @t173 @t4)) % 1.62/1.89 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.62/1.89 (define @t178 () (= tptp.prop2setE @t177)) % 1.62/1.89 (define @t179 () (@list @t173)) % 1.62/1.89 (define @t180 () (forall @t179 @t173)) % 1.62/1.89 (define @t181 () (=> @t15 @t180)) % 1.62/1.89 (define @t182 () (forall @t9 @t181)) % 1.62/1.89 (define @t183 () (= tptp.emptysetE @t182)) % 1.62/1.89 (define @t184 () (forall @t9 (=> @t15 false))) % 1.62/1.89 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.62/1.89 (define @t186 () (exists @t9 @t144)) % 1.62/1.89 (define @t187 () (=> @t148 @t186)) % 1.62/1.89 (define @t188 () (forall @t150 @t187)) % 1.62/1.89 (define @t189 () (= tptp.exuE3e @t188)) % 1.62/1.89 (define @t190 () (=> @t32 @t3)) % 1.62/1.89 (define @t191 () (=> @t7 @t6)) % 1.62/1.89 (define @t192 () (forall @t9 @t191)) % 1.62/1.89 (define @t193 () (=> @t192 @t190)) % 1.62/1.89 (define @t194 () (forall @t12 @t193)) % 1.62/1.89 (define @t195 () (= tptp.setext @t194)) % 1.62/1.89 (define @t196 () (= @t2 tptp.emptyset)) % 1.62/1.89 (define @t197 () (not @t7)) % 1.62/1.89 (define @t198 () (forall @t9 @t197)) % 1.62/1.89 (define @t199 () (=> @t198 @t196)) % 1.62/1.89 (define @t200 () (forall @t64 @t199)) % 1.62/1.89 (define @t201 () (= tptp.emptyI @t200)) % 1.62/1.89 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.62/1.89 (define @t203 () (forall @t159 @t202)) % 1.62/1.89 (define @t204 () (= tptp.setbeta @t203)) % 1.62/1.89 (define @t205 () (_ tptp.nonempty @t2)) % 1.62/1.89 (define @t206 () (=> @t205 @t89)) % 1.62/1.89 (define @t207 () (forall @t64 @t206)) % 1.62/1.89 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.62/1.89 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.62/1.89 (define @t210 () (=> @t7 @t209)) % 1.62/1.89 (define @t211 () (forall @t159 @t210)) % 1.62/1.89 (define @t212 () (= tptp.nonemptyI @t211)) % 1.62/1.89 (define @t213 () (=> @t89 @t205)) % 1.62/1.89 (define @t214 () (forall @t64 @t213)) % 1.62/1.89 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.62/1.89 (define @t216 () (_ @t24 @t19)) % 1.62/1.89 (define @t217 () (_ @t5 @t216)) % 1.62/1.89 (define @t218 () (forall @t135 @t217)) % 1.62/1.89 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.62/1.89 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.62/1.89 (define @t221 () (_ @t49 @t220)) % 1.62/1.89 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.62/1.89 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.62/1.89 (define @t224 () (=> @t21 @t173)) % 1.62/1.89 (define @t225 () (=> @t224 @t173)) % 1.62/1.89 (define @t226 () (=> @t22 @t173)) % 1.62/1.89 (define @t227 () (=> @t226 @t225)) % 1.62/1.89 (define @t228 () (forall @t179 @t227)) % 1.62/1.89 (define @t229 () (=> @t26 @t228)) % 1.62/1.89 (define @t230 () (forall @t28 @t229)) % 1.62/1.89 (define @t231 () (= tptp.setadjoinE @t230)) % 1.62/1.89 (define @t232 () (=> @t26 @t23)) % 1.62/1.89 (define @t233 () (forall @t28 @t232)) % 1.62/1.89 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.62/1.89 (define @t235 () (lambda @t9 true)) % 1.62/1.89 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.62/1.89 (define @t237 () (forall @t64 @t236)) % 1.62/1.89 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.62/1.89 (define @t239 () (=> @t32 @t35)) % 1.62/1.89 (define @t240 () (forall @t12 @t239)) % 1.62/1.89 (define @t241 () (= tptp.powersetI @t240)) % 1.62/1.89 (define @t242 () (_ @t49 @t33)) % 1.62/1.89 (define @t243 () (forall @t64 @t242)) % 1.62/1.89 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.62/1.89 (define @t245 () (@list @t2 @t1 @t4)) % 1.62/1.89 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.62/1.89 (define @t247 () (= tptp.powersetE @t246)) % 1.62/1.89 (define @t248 () (=> @t39 @t44)) % 1.62/1.89 (define @t249 () (@list @t2 @t4 @t1)) % 1.62/1.89 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.62/1.89 (define @t251 () (= tptp.setunionI @t250)) % 1.62/1.89 (define @t252 () (=> @t39 @t173)) % 1.62/1.89 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.62/1.89 (define @t254 () (=> @t253 @t173)) % 1.62/1.89 (define @t255 () (forall @t179 @t254)) % 1.62/1.89 (define @t256 () (=> @t44 @t255)) % 1.62/1.89 (define @t257 () (forall @t46 @t256)) % 1.62/1.89 (define @t258 () (= tptp.setunionE @t257)) % 1.62/1.89 (define @t259 () (_ tptp.powerset @t43)) % 1.62/1.89 (define @t260 () (_ @t5 @t259)) % 1.62/1.89 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.62/1.89 (define @t262 () (= tptp.subPowSU @t261)) % 1.62/1.89 (define @t263 () (= @t153 @t22)) % 1.62/1.89 (define @t264 () (forall @t70 @t263)) % 1.62/1.89 (define @t265 () (exists @t9 @t264)) % 1.62/1.89 (define @t266 () (=> @t148 @t265)) % 1.62/1.89 (define @t267 () (forall @t150 @t266)) % 1.62/1.89 (define @t268 () (= tptp.exuE2 @t267)) % 1.62/1.89 (define @t269 () (and @t7 true)) % 1.62/1.89 (define @t270 () (exists @t9 @t269)) % 1.62/1.89 (define @t271 () (=> @t205 @t270)) % 1.62/1.89 (define @t272 () (forall @t64 @t271)) % 1.62/1.89 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.62/1.89 (define @t274 () (_ tptp.setadjoin @t19)) % 1.62/1.89 (define @t275 () (_ @t274 tptp.emptyset)) % 1.62/1.89 (define @t276 () (_ @t5 @t275)) % 1.62/1.89 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.62/1.89 (define @t278 () (= tptp.uniqinunit @t277)) % 1.62/1.89 (define @t279 () (_ @t24 tptp.emptyset)) % 1.62/1.89 (define @t280 () (_ @t20 @t279)) % 1.62/1.89 (define @t281 () (not @t280)) % 1.62/1.89 (define @t282 () (not @t129)) % 1.62/1.89 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.62/1.89 (define @t284 () (= tptp.notinsingleton @t283)) % 1.62/1.89 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.62/1.89 (define @t286 () (= tptp.eqinunit @t285)) % 1.62/1.89 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.62/1.89 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.62/1.89 (define @t289 () (@var "Xz" $$unsorted)) % 1.62/1.89 (define @t290 () (= @t289 @t19)) % 1.62/1.89 (define @t291 () (= @t289 @t4)) % 1.62/1.89 (define @t292 () (or @t291 @t290)) % 1.62/1.89 (define @t293 () (_ @t24 @t275)) % 1.62/1.89 (define @t294 () (_ tptp.in @t289)) % 1.62/1.89 (define @t295 () (_ @t294 @t293)) % 1.62/1.89 (define @t296 () (=> @t295 @t292)) % 1.62/1.89 (define @t297 () (@list @t4 @t19 @t289)) % 1.62/1.89 (define @t298 () (forall @t297 @t296)) % 1.62/1.89 (define @t299 () (= tptp.upairsetE @t298)) % 1.62/1.89 (define @t300 () (_ @t5 @t293)) % 1.62/1.89 (define @t301 () (forall @t135 @t300)) % 1.62/1.89 (define @t302 () (= tptp.upairsetIL @t301)) % 1.62/1.89 (define @t303 () (_ @t20 @t293)) % 1.62/1.89 (define @t304 () (forall @t135 @t303)) % 1.62/1.89 (define @t305 () (= tptp.upairsetIR @t304)) % 1.62/1.89 (define @t306 () (_ @t155 @t145)) % 1.62/1.89 (define @t307 () (= @t306 tptp.emptyset)) % 1.62/1.89 (define @t308 () (and @t7 @t144)) % 1.62/1.89 (define @t309 () (exists @t9 @t308)) % 1.62/1.89 (define @t310 () (=> @t309 (=> @t307 false))) % 1.62/1.89 (define @t311 () (@list @t2 @t143)) % 1.62/1.89 (define @t312 () (forall @t311 @t310)) % 1.62/1.89 (define @t313 () (= tptp.emptyE1 @t312)) % 1.62/1.89 (define @t314 () (@list @t143 @t4)) % 1.62/1.89 (define @t315 () (forall @t314 (=> @t15 @t144))) % 1.62/1.89 (define @t316 () (= tptp.vacuousDall @t315)) % 1.62/1.89 (define @t317 () (not @t144)) % 1.62/1.89 (define @t318 () (and @t7 @t317)) % 1.62/1.89 (define @t319 () (exists @t9 @t318)) % 1.62/1.89 (define @t320 () (forall @t9 (=> @t7 @t144))) % 1.62/1.89 (define @t321 () (not @t320)) % 1.62/1.89 (define @t322 () (=> @t321 @t319)) % 1.62/1.89 (define @t323 () (forall @t311 @t322)) % 1.62/1.89 (define @t324 () (= tptp.quantDeMorgan1 @t323)) % 1.62/1.89 (define @t325 () (not @t309)) % 1.62/1.89 (define @t326 () (forall @t9 (=> @t7 @t317))) % 1.62/1.89 (define @t327 () (=> @t326 @t325)) % 1.62/1.89 (define @t328 () (forall @t311 @t327)) % 1.62/1.89 (define @t329 () (= tptp.quantDeMorgan2 @t328)) % 1.62/1.89 (define @t330 () (=> @t325 @t326)) % 1.62/1.89 (define @t331 () (forall @t311 @t330)) % 1.62/1.89 (define @t332 () (= tptp.quantDeMorgan3 @t331)) % 1.62/1.89 (define @t333 () (=> @t319 @t321)) % 1.62/1.89 (define @t334 () (forall @t311 @t333)) % 1.62/1.89 (define @t335 () (= tptp.quantDeMorgan4 @t334)) % 1.62/1.89 (define @t336 () (_ @t49 @t174)) % 1.62/1.89 (define @t337 () (forall @t179 (=> @t173 @t336))) % 1.62/1.89 (define @t338 () (= tptp.prop2setI @t337)) % 1.62/1.89 (define @t339 () (_ tptp.set2prop @t174)) % 1.62/1.89 (define @t340 () (forall @t179 (=> @t173 @t339))) % 1.62/1.89 (define @t341 () (= tptp.prop2set2propI @t340)) % 1.62/1.89 (define @t342 () (=> @t169 @t148)) % 1.62/1.89 (define @t343 () (forall @t150 @t342)) % 1.62/1.89 (define @t344 () (= tptp.exuI1 @t343)) % 1.62/1.89 (define @t345 () (=> @t144 @t166)) % 1.62/1.89 (define @t346 () (forall @t135 @t345)) % 1.62/1.89 (define @t347 () (=> @t346 @t148)) % 1.62/1.89 (define @t348 () (=> @t186 @t347)) % 1.62/1.89 (define @t349 () (forall @t150 @t348)) % 1.62/1.89 (define @t350 () (= tptp.exuI3 @t349)) % 1.62/1.89 (define @t351 () (=> @t265 @t148)) % 1.62/1.89 (define @t352 () (forall @t150 @t351)) % 1.62/1.89 (define @t353 () (= tptp.exuI2 @t352)) % 1.62/1.89 (define @t354 () (_ @t20 @t1)) % 1.62/1.89 (define @t355 () (=> @t7 @t354)) % 1.62/1.89 (define @t356 () (forall @t135 (=> @t129 @t355))) % 1.62/1.89 (define @t357 () (=> @t3 @t356)) % 1.62/1.89 (define @t358 () (forall @t12 @t357)) % 1.62/1.89 (define @t359 () (= tptp.inCongP @t358)) % 1.62/1.89 (define @t360 () (= @t7 @t354)) % 1.62/1.89 (define @t361 () (forall @t135 (=> @t129 @t360))) % 1.62/1.89 (define @t362 () (=> @t3 @t361)) % 1.62/1.89 (define @t363 () (forall @t12 @t362)) % 1.62/1.89 (define @t364 () (= tptp.in__Cong @t363)) % 1.62/1.89 (define @t365 () (=> @t148 @t346)) % 1.62/1.89 (define @t366 () (forall @t150 @t365)) % 1.62/1.89 (define @t367 () (= tptp.exuE3u @t366)) % 1.62/1.89 (define @t368 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.62/1.89 (define @t369 () (_ @t368 @t4)) % 1.62/1.89 (define @t370 () (lambda @t9 @t369)) % 1.62/1.89 (define @t371 () (_ tptp.exu @t370)) % 1.62/1.89 (define @t372 () (= @t148 @t371)) % 1.62/1.89 (define @t373 () (_ @t368 @t19)) % 1.62/1.89 (define @t374 () (= @t144 @t373)) % 1.62/1.89 (define @t375 () (=> @t129 @t374)) % 1.62/1.89 (define @t376 () (forall @t135 @t375)) % 1.62/1.89 (define @t377 () (=> @t376 @t372)) % 1.62/1.89 (define @t378 () (@list @t143 @t368)) % 1.62/1.89 (define @t379 () (forall @t378 @t377)) % 1.62/1.89 (define @t380 () (= tptp.exu__Cong @t379)) % 1.62/1.89 (define @t381 () (= tptp.emptyset tptp.emptyset)) % 1.62/1.89 (define @t382 () (= tptp.emptyset__Cong @t381)) % 1.62/1.89 (define @t383 () (@var "Xu" $$unsorted)) % 1.62/1.89 (define @t384 () (_ @t274 @t383)) % 1.62/1.89 (define @t385 () (_ @t24 @t289)) % 1.62/1.89 (define @t386 () (= @t385 @t384)) % 1.62/1.89 (define @t387 () (= @t289 @t383)) % 1.62/1.89 (define @t388 () (@list @t289 @t383)) % 1.62/1.89 (define @t389 () (forall @t388 (=> @t387 @t386))) % 1.62/1.89 (define @t390 () (=> @t129 @t389)) % 1.62/1.89 (define @t391 () (forall @t135 @t390)) % 1.62/1.89 (define @t392 () (= tptp.setadjoin__Cong @t391)) % 1.62/1.89 (define @t393 () (_ tptp.powerset @t1)) % 1.62/1.89 (define @t394 () (= @t33 @t393)) % 1.62/1.89 (define @t395 () (forall @t12 (=> @t3 @t394))) % 1.62/1.89 (define @t396 () (= tptp.powerset__Cong @t395)) % 1.62/1.89 (define @t397 () (_ tptp.setunion @t1)) % 1.62/1.89 (define @t398 () (= @t43 @t397)) % 1.62/1.89 (define @t399 () (forall @t12 (=> @t3 @t398))) % 1.62/1.89 (define @t400 () (= tptp.setunion__Cong @t399)) % 1.62/1.89 (define @t401 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.62/1.89 (define @t402 () (= tptp.exuEu @t366)) % 1.62/1.89 (define @t403 () (_ tptp.descr @t370)) % 1.62/1.89 (define @t404 () (= @t146 @t403)) % 1.62/1.89 (define @t405 () (=> @t371 @t404)) % 1.62/1.89 (define @t406 () (=> @t148 @t405)) % 1.62/1.89 (define @t407 () (=> @t376 @t406)) % 1.62/1.89 (define @t408 () (forall @t378 @t407)) % 1.62/1.89 (define @t409 () (= tptp.descr__Cong @t408)) % 1.62/1.89 (define @t410 () (_ tptp.dsetconstr @t1)) % 1.62/1.89 (define @t411 () (_ @t410 @t370)) % 1.62/1.89 (define @t412 () (= @t306 @t411)) % 1.62/1.89 (define @t413 () (forall @t70 (=> @t354 @t375))) % 1.62/1.89 (define @t414 () (=> @t7 @t413)) % 1.62/1.89 (define @t415 () (forall @t9 @t414)) % 1.62/1.89 (define @t416 () (=> @t415 @t412)) % 1.62/1.89 (define @t417 () (forall @t378 @t416)) % 1.62/1.89 (define @t418 () (=> @t3 @t417)) % 1.62/1.89 (define @t419 () (forall @t12 @t418)) % 1.62/1.89 (define @t420 () (= tptp.dsetconstr__Cong @t419)) % 1.62/1.89 (define @t421 () (_ tptp.subset @t2)) % 1.62/1.89 (define @t422 () (_ @t421 @t1)) % 1.62/1.89 (define @t423 () (=> @t192 @t422)) % 1.62/1.89 (define @t424 () (forall @t12 @t423)) % 1.62/1.89 (define @t425 () (= tptp.subsetI1 @t424)) % 1.62/1.89 (define @t426 () (_ tptp.subset @t1)) % 1.62/1.89 (define @t427 () (_ @t426 @t2)) % 1.62/1.89 (define @t428 () (forall @t12 (=> @t3 @t427))) % 1.62/1.89 (define @t429 () (= tptp.eqimpsubset2 @t428)) % 1.62/1.89 (define @t430 () (forall @t12 (=> @t3 @t422))) % 1.62/1.89 (define @t431 () (= tptp.eqimpsubset1 @t430)) % 1.62/1.89 (define @t432 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.62/1.89 (define @t433 () (forall @t64 @t432)) % 1.62/1.89 (define @t434 () (= tptp.emptysetsubset @t433)) % 1.62/1.89 (define @t435 () (forall @t245 (=> @t422 @t191))) % 1.62/1.89 (define @t436 () (= tptp.subsetE @t435)) % 1.62/1.89 (define @t437 () (not @t6)) % 1.62/1.89 (define @t438 () (=> @t437 @t197)) % 1.62/1.89 (define @t439 () (forall @t245 (=> @t422 @t438))) % 1.62/1.89 (define @t440 () (= tptp.subsetE2 @t439)) % 1.62/1.89 (define @t441 () (not @t422)) % 1.62/1.89 (define @t442 () (=> @t437 @t441)) % 1.62/1.89 (define @t443 () (forall @t245 (=> @t7 @t442))) % 1.62/1.89 (define @t444 () (= tptp.notsubsetI @t443)) % 1.62/1.89 (define @t445 () (not @t3)) % 1.62/1.89 (define @t446 () (forall @t12 (=> @t441 @t445))) % 1.62/1.89 (define @t447 () (= tptp.notequalI1 @t446)) % 1.62/1.89 (define @t448 () (=> @t437 @t445)) % 1.62/1.89 (define @t449 () (forall @t245 (=> @t7 @t448))) % 1.62/1.89 (define @t450 () (= tptp.notequalI2 @t449)) % 1.62/1.89 (define @t451 () (_ @t421 @t2)) % 1.62/1.89 (define @t452 () (forall @t64 @t451)) % 1.62/1.89 (define @t453 () (= tptp.subsetRefl @t452)) % 1.62/1.89 (define @t454 () (_ @t421 @t104)) % 1.62/1.89 (define @t455 () (_ @t426 @t104)) % 1.62/1.89 (define @t456 () (=> @t455 @t454)) % 1.62/1.89 (define @t457 () (@list @t2 @t1 @t104)) % 1.62/1.89 (define @t458 () (forall @t457 (=> @t422 @t456))) % 1.62/1.89 (define @t459 () (= tptp.subsetTrans @t458)) % 1.62/1.89 (define @t460 () (_ @t421 @t25)) % 1.62/1.89 (define @t461 () (@list @t4 @t2)) % 1.62/1.89 (define @t462 () (forall @t461 @t460)) % 1.62/1.89 (define @t463 () (= tptp.setadjoinSub @t462)) % 1.62/1.89 (define @t464 () (_ @t24 @t1)) % 1.62/1.89 (define @t465 () (_ @t421 @t464)) % 1.62/1.89 (define @t466 () (forall @t249 (=> @t422 @t465))) % 1.62/1.89 (define @t467 () (= tptp.setadjoinSub2 @t466)) % 1.62/1.89 (define @t468 () (_ tptp.in @t2)) % 1.62/1.89 (define @t469 () (_ @t468 @t393)) % 1.62/1.89 (define @t470 () (forall @t12 (=> @t422 @t469))) % 1.62/1.89 (define @t471 () (= tptp.subset2powerset @t470)) % 1.62/1.89 (define @t472 () (=> @t427 @t3)) % 1.62/1.89 (define @t473 () (forall @t12 (=> @t422 @t472))) % 1.62/1.89 (define @t474 () (= tptp.setextsub @t473)) % 1.62/1.89 (define @t475 () (_ @t421 tptp.emptyset)) % 1.62/1.89 (define @t476 () (forall @t64 (=> @t475 @t196))) % 1.62/1.89 (define @t477 () (= tptp.subsetemptysetimpeq @t476)) % 1.62/1.89 (define @t478 () (forall @t12 (=> @t427 @t35))) % 1.62/1.89 (define @t479 () (= tptp.powersetI1 @t478)) % 1.62/1.89 (define @t480 () (forall @t12 (=> @t35 @t427))) % 1.62/1.89 (define @t481 () (= tptp.powersetE1 @t480)) % 1.62/1.89 (define @t482 () (_ @t468 @t33)) % 1.62/1.89 (define @t483 () (forall @t64 @t482)) % 1.62/1.89 (define @t484 () (= tptp.inPowerset @t483)) % 1.62/1.89 (define @t485 () (_ (_ tptp.subset @t33) @t393)) % 1.62/1.89 (define @t486 () (forall @t12 (=> @t422 @t485))) % 1.62/1.89 (define @t487 () (= tptp.powersetsubset @t486)) % 1.62/1.89 (define @t488 () (_ (_ tptp.in @t306) @t33)) % 1.62/1.89 (define @t489 () (forall @t311 @t488)) % 1.62/1.89 (define @t490 () (= tptp.sepInPowerset @t489)) % 1.62/1.89 (define @t491 () (_ (_ tptp.subset @t306) @t2)) % 1.62/1.89 (define @t492 () (forall @t311 @t491)) % 1.62/1.89 (define @t493 () (= tptp.sepSubset @t492)) % 1.62/1.89 (define @t494 () (_ (_ tptp.binunion @t2) @t1)) % 1.62/1.89 (define @t495 () (_ @t5 @t494)) % 1.62/1.89 (define @t496 () (forall @t245 (=> @t7 @t495))) % 1.62/1.89 (define @t497 () (= tptp.binunionIL @t496)) % 1.62/1.89 (define @t498 () (forall @t245 (=> @t6 @t495))) % 1.62/1.89 (define @t499 () (= tptp.binunionIR @t498)) % 1.62/1.89 (define @t500 () (=> @t6 @t173)) % 1.62/1.89 (define @t501 () (=> @t500 @t173)) % 1.62/1.89 (define @t502 () (=> @t7 @t173)) % 1.62/1.89 (define @t503 () (=> @t502 @t501)) % 1.62/1.89 (define @t504 () (@list @t2 @t1 @t4 @t173)) % 1.62/1.89 (define @t505 () (forall @t504 (=> @t495 @t503))) % 1.62/1.89 (define @t506 () (= tptp.binunionEcases @t505)) % 1.62/1.89 (define @t507 () (or @t7 @t6)) % 1.62/1.89 (define @t508 () (forall @t245 (=> @t495 @t507))) % 1.62/1.89 (define @t509 () (= tptp.binunionE @t508)) % 1.62/1.89 (define @t510 () (_ @t421 @t494)) % 1.62/1.89 (define @t511 () (forall @t12 @t510)) % 1.62/1.89 (define @t512 () (= tptp.binunionLsub @t511)) % 1.62/1.89 (define @t513 () (_ @t426 @t494)) % 1.62/1.89 (define @t514 () (forall @t12 @t513)) % 1.62/1.89 (define @t515 () (= tptp.binunionRsub @t514)) % 1.62/1.89 (define @t516 () (_ tptp.binintersect @t2)) % 1.62/1.89 (define @t517 () (_ @t516 @t1)) % 1.62/1.89 (define @t518 () (_ @t5 @t517)) % 1.62/1.89 (define @t519 () (=> @t6 @t518)) % 1.62/1.89 (define @t520 () (forall @t245 (=> @t7 @t519))) % 1.62/1.89 (define @t521 () (= tptp.binintersectI @t520)) % 1.62/1.89 (define @t522 () (_ tptp.subset @t104)) % 1.62/1.89 (define @t523 () (_ @t522 @t517)) % 1.62/1.89 (define @t524 () (_ @t522 @t1)) % 1.62/1.89 (define @t525 () (=> @t524 @t523)) % 1.62/1.89 (define @t526 () (_ @t522 @t2)) % 1.62/1.89 (define @t527 () (forall @t457 (=> @t526 @t525))) % 1.62/1.89 (define @t528 () (= tptp.binintersectSubset5 @t527)) % 1.62/1.89 (define @t529 () (forall @t245 (=> @t518 @t7))) % 1.62/1.89 (define @t530 () (= tptp.binintersectEL @t529)) % 1.62/1.89 (define @t531 () (_ tptp.subset @t517)) % 1.62/1.89 (define @t532 () (_ @t531 @t2)) % 1.62/1.89 (define @t533 () (forall @t12 @t532)) % 1.62/1.89 (define @t534 () (= tptp.binintersectLsub @t533)) % 1.62/1.89 (define @t535 () (= @t517 @t2)) % 1.62/1.89 (define @t536 () (=> @t422 @t535)) % 1.62/1.89 (define @t537 () (forall @t12 @t536)) % 1.62/1.89 (define @t538 () (= tptp.binintersectSubset2 @t537)) % 1.62/1.89 (define @t539 () (= @t517 @t1)) % 1.62/1.89 (define @t540 () (=> @t539 @t427)) % 1.62/1.89 (define @t541 () (forall @t12 @t540)) % 1.62/1.89 (define @t542 () (= tptp.binintersectSubset3 @t541)) % 1.62/1.89 (define @t543 () (forall @t245 (=> @t518 @t6))) % 1.62/1.89 (define @t544 () (= tptp.binintersectER @t543)) % 1.62/1.89 (define @t545 () (and @t7 @t6)) % 1.62/1.89 (define @t546 () (exists @t9 @t545)) % 1.62/1.89 (define @t547 () (not @t546)) % 1.62/1.89 (define @t548 () (=> @t547 (= @t517 tptp.emptyset))) % 1.62/1.89 (define @t549 () (forall @t12 @t548)) % 1.62/1.89 (define @t550 () (= tptp.disjointsetsI1 @t549)) % 1.62/1.89 (define @t551 () (_ @t531 @t1)) % 1.62/1.89 (define @t552 () (forall @t12 @t551)) % 1.62/1.89 (define @t553 () (= tptp.binintersectRsub @t552)) % 1.62/1.89 (define @t554 () (=> @t427 @t539)) % 1.62/1.89 (define @t555 () (forall @t12 @t554)) % 1.62/1.89 (define @t556 () (= tptp.binintersectSubset4 @t555)) % 1.62/1.89 (define @t557 () (=> @t535 @t422)) % 1.62/1.89 (define @t558 () (forall @t12 @t557)) % 1.62/1.89 (define @t559 () (= tptp.binintersectSubset1 @t558)) % 1.62/1.89 (define @t560 () (_ @t516 @t104)) % 1.62/1.89 (define @t561 () (_ (_ tptp.binunion @t517) @t560)) % 1.62/1.89 (define @t562 () (_ (_ tptp.binunion @t1) @t104)) % 1.62/1.89 (define @t563 () (_ @t516 @t562)) % 1.62/1.89 (define @t564 () (= @t563 @t561)) % 1.62/1.89 (define @t565 () (forall @t457 @t564)) % 1.62/1.89 (define @t566 () (= tptp.bs114d @t565)) % 1.62/1.89 (define @t567 () (_ tptp.setminus @t2)) % 1.62/1.89 (define @t568 () (_ @t567 @t1)) % 1.62/1.89 (define @t569 () (_ @t5 @t568)) % 1.62/1.89 (define @t570 () (=> @t437 @t569)) % 1.62/1.89 (define @t571 () (forall @t245 (=> @t7 @t570))) % 1.62/1.89 (define @t572 () (= tptp.setminusI @t571)) % 1.62/1.89 (define @t573 () (forall @t245 (=> @t569 @t7))) % 1.62/1.89 (define @t574 () (= tptp.setminusEL @t573)) % 1.62/1.89 (define @t575 () (forall @t245 (=> @t569 @t437))) % 1.62/1.89 (define @t576 () (= tptp.setminusER @t575)) % 1.62/1.89 (define @t577 () (= @t568 tptp.emptyset)) % 1.62/1.89 (define @t578 () (=> @t422 @t577)) % 1.62/1.89 (define @t579 () (forall @t12 @t578)) % 1.62/1.89 (define @t580 () (= tptp.setminusSubset2 @t579)) % 1.62/1.89 (define @t581 () (not @t569)) % 1.62/1.89 (define @t582 () (forall @t245 (=> @t581 @t191))) % 1.62/1.89 (define @t583 () (= tptp.setminusERneg @t582)) % 1.62/1.89 (define @t584 () (forall @t245 (=> @t581 @t438))) % 1.62/1.89 (define @t585 () (= tptp.setminusELneg @t584)) % 1.62/1.89 (define @t586 () (forall @t245 (=> @t197 @t581))) % 1.62/1.89 (define @t587 () (= tptp.setminusILneg @t586)) % 1.62/1.89 (define @t588 () (forall @t245 (=> @t6 @t581))) % 1.62/1.89 (define @t589 () (= tptp.setminusIRneg @t588)) % 1.62/1.89 (define @t590 () (_ (_ tptp.subset @t568) @t2)) % 1.62/1.89 (define @t591 () (forall @t12 @t590)) % 1.62/1.89 (define @t592 () (= tptp.setminusLsub @t591)) % 1.62/1.89 (define @t593 () (=> @t577 @t422)) % 1.62/1.89 (define @t594 () (forall @t12 @t593)) % 1.62/1.89 (define @t595 () (= tptp.setminusSubset1 @t594)) % 1.62/1.89 (define @t596 () (=> @t197 @t500)) % 1.62/1.89 (define @t597 () (=> @t596 @t173)) % 1.62/1.89 (define @t598 () (=> @t437 @t173)) % 1.62/1.89 (define @t599 () (=> @t7 @t598)) % 1.62/1.89 (define @t600 () (forall @t179 (=> @t599 @t597))) % 1.62/1.89 (define @t601 () (_ (_ tptp.symdiff @t2) @t1)) % 1.62/1.89 (define @t602 () (_ @t5 @t601)) % 1.62/1.89 (define @t603 () (=> @t602 @t600)) % 1.62/1.89 (define @t604 () (forall @t245 @t603)) % 1.62/1.89 (define @t605 () (= tptp.symdiffE @t604)) % 1.62/1.89 (define @t606 () (=> @t437 @t602)) % 1.62/1.89 (define @t607 () (forall @t245 (=> @t7 @t606))) % 1.62/1.89 (define @t608 () (= tptp.symdiffI1 @t607)) % 1.62/1.89 (define @t609 () (=> @t6 @t602)) % 1.62/1.89 (define @t610 () (forall @t245 (=> @t197 @t609))) % 1.62/1.89 (define @t611 () (= tptp.symdiffI2 @t610)) % 1.62/1.89 (define @t612 () (not @t602)) % 1.62/1.89 (define @t613 () (=> @t6 @t612)) % 1.62/1.89 (define @t614 () (forall @t245 (=> @t7 @t613))) % 1.62/1.89 (define @t615 () (= tptp.symdiffIneg1 @t614)) % 1.62/1.89 (define @t616 () (=> @t437 @t612)) % 1.62/1.89 (define @t617 () (forall @t245 (=> @t197 @t616))) % 1.62/1.89 (define @t618 () (= tptp.symdiffIneg2 @t617)) % 1.62/1.89 (define @t619 () (_ (_ tptp.setadjoin @t293) tptp.emptyset)) % 1.62/1.89 (define @t620 () (_ tptp.setadjoin @t279)) % 1.62/1.89 (define @t621 () (_ @t620 @t619)) % 1.62/1.89 (define @t622 () (_ tptp.setunion @t621)) % 1.62/1.89 (define @t623 () (_ @t5 @t622)) % 1.62/1.89 (define @t624 () (forall @t135 @t623)) % 1.62/1.89 (define @t625 () (= tptp.setukpairIL @t624)) % 1.62/1.89 (define @t626 () (_ @t20 @t622)) % 1.62/1.89 (define @t627 () (forall @t135 @t626)) % 1.62/1.89 (define @t628 () (= tptp.setukpairIR @t627)) % 1.62/1.89 (define @t629 () (_ tptp.iskpair @t621)) % 1.62/1.89 (define @t630 () (forall @t135 @t629)) % 1.62/1.89 (define @t631 () (= tptp.kpairiskpair @t630)) % 1.62/1.89 (define @t632 () (_ tptp.kpair @t4)) % 1.62/1.89 (define @t633 () (_ @t632 @t19)) % 1.62/1.89 (define @t634 () (_ tptp.iskpair @t633)) % 1.62/1.89 (define @t635 () (forall @t135 @t634)) % 1.62/1.89 (define @t636 () (= tptp.kpairp @t635)) % 1.62/1.89 (define @t637 () (_ (_ tptp.subset @t279) @t2)) % 1.62/1.89 (define @t638 () (forall @t46 (=> @t7 @t637))) % 1.62/1.89 (define @t639 () (= tptp.singletonsubset @t638)) % 1.62/1.89 (define @t640 () (_ tptp.in @t279)) % 1.62/1.89 (define @t641 () (_ @t640 @t33)) % 1.62/1.89 (define @t642 () (forall @t46 (=> @t7 @t641))) % 1.62/1.89 (define @t643 () (= tptp.singletoninpowerset @t642)) % 1.62/1.89 (define @t644 () (_ tptp.powerset @t494)) % 1.62/1.89 (define @t645 () (_ @t640 @t644)) % 1.62/1.89 (define @t646 () (forall @t245 (=> @t7 @t645))) % 1.62/1.89 (define @t647 () (= tptp.singletoninpowunion @t646)) % 1.62/1.89 (define @t648 () (_ (_ tptp.subset @t293) @t494)) % 1.62/1.89 (define @t649 () (forall @t70 (=> @t354 @t648))) % 1.62/1.89 (define @t650 () (=> @t7 @t649)) % 1.62/1.89 (define @t651 () (forall @t245 @t650)) % 1.62/1.89 (define @t652 () (= tptp.upairsubunion @t651)) % 1.62/1.89 (define @t653 () (_ (_ tptp.in @t293) @t644)) % 1.62/1.89 (define @t654 () (forall @t70 (=> @t354 @t653))) % 1.62/1.89 (define @t655 () (=> @t7 @t654)) % 1.62/1.89 (define @t656 () (forall @t245 @t655)) % 1.62/1.89 (define @t657 () (= tptp.upairinpowunion @t656)) % 1.62/1.89 (define @t658 () (_ (_ tptp.subset @t621) @t644)) % 1.62/1.89 (define @t659 () (forall @t70 (=> @t354 @t658))) % 1.62/1.89 (define @t660 () (=> @t7 @t659)) % 1.62/1.89 (define @t661 () (forall @t245 @t660)) % 1.62/1.89 (define @t662 () (= tptp.ubforcartprodlem1 @t661)) % 1.62/1.89 (define @t663 () (_ tptp.powerset @t644)) % 1.62/1.89 (define @t664 () (_ (_ tptp.in @t621) @t663)) % 1.62/1.89 (define @t665 () (forall @t70 (=> @t354 @t664))) % 1.62/1.89 (define @t666 () (=> @t7 @t665)) % 1.62/1.89 (define @t667 () (forall @t245 @t666)) % 1.62/1.89 (define @t668 () (= tptp.ubforcartprodlem2 @t667)) % 1.62/1.89 (define @t669 () (_ tptp.in @t633)) % 1.62/1.89 (define @t670 () (_ @t669 @t663)) % 1.62/1.89 (define @t671 () (forall @t70 (=> @t354 @t670))) % 1.62/1.89 (define @t672 () (=> @t7 @t671)) % 1.62/1.89 (define @t673 () (forall @t245 @t672)) % 1.62/1.89 (define @t674 () (= tptp.ubforcartprodlem3 @t673)) % 1.62/1.89 (define @t675 () (_ (_ tptp.cartprod @t2) @t1)) % 1.62/1.89 (define @t676 () (_ @t669 @t675)) % 1.62/1.89 (define @t677 () (forall @t70 (=> @t354 @t676))) % 1.62/1.89 (define @t678 () (=> @t7 @t677)) % 1.62/1.89 (define @t679 () (forall @t245 @t678)) % 1.62/1.89 (define @t680 () (= tptp.cartprodpairin @t679)) % 1.62/1.89 (define @t681 () (= @t383 @t633)) % 1.62/1.89 (define @t682 () (and @t354 @t681)) % 1.62/1.89 (define @t683 () (exists @t70 @t682)) % 1.62/1.89 (define @t684 () (and @t7 @t683)) % 1.62/1.89 (define @t685 () (exists @t9 @t684)) % 1.62/1.89 (define @t686 () (_ tptp.in @t383)) % 1.62/1.89 (define @t687 () (_ @t686 @t675)) % 1.62/1.89 (define @t688 () (=> @t687 @t685)) % 1.62/1.89 (define @t689 () (@list @t2 @t1 @t383)) % 1.62/1.89 (define @t690 () (forall @t689 @t688)) % 1.62/1.89 (define @t691 () (= tptp.cartprodmempair1 @t690)) % 1.62/1.89 (define @t692 () (_ tptp.iskpair @t383)) % 1.62/1.89 (define @t693 () (forall @t689 (=> @t687 @t692))) % 1.62/1.89 (define @t694 () (= tptp.cartprodmempair @t693)) % 1.62/1.89 (define @t695 () (@var "X" $$unsorted)) % 1.62/1.89 (define @t696 () (_ @t5 @t695)) % 1.62/1.89 (define @t697 () (_ tptp.in @t695)) % 1.62/1.89 (define @t698 () (_ @t697 @t2)) % 1.62/1.89 (define @t699 () (and @t698 @t696)) % 1.62/1.89 (define @t700 () (@list @t695)) % 1.62/1.89 (define @t701 () (exists @t700 @t699)) % 1.62/1.89 (define @t702 () (=> @t44 @t701)) % 1.62/1.89 (define @t703 () (forall @t46 @t702)) % 1.62/1.89 (define @t704 () (= tptp.setunionE2 @t703)) % 1.62/1.89 (define @t705 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 1.62/1.89 (define @t706 () (_ tptp.setunion @t705)) % 1.62/1.89 (define @t707 () (_ (_ tptp.subset @t706) @t2)) % 1.62/1.89 (define @t708 () (forall @t64 @t707)) % 1.62/1.89 (define @t709 () (= tptp.setunionsingleton1 @t708)) % 1.62/1.89 (define @t710 () (_ @t421 @t706)) % 1.62/1.89 (define @t711 () (forall @t64 @t710)) % 1.62/1.89 (define @t712 () (= tptp.setunionsingleton2 @t711)) % 1.62/1.89 (define @t713 () (_ tptp.setunion @t279)) % 1.62/1.89 (define @t714 () (forall @t9 (= @t713 @t4))) % 1.62/1.89 (define @t715 () (= tptp.setunionsingleton @t714)) % 1.62/1.89 (define @t716 () (_ tptp.singleton @t306)) % 1.62/1.89 (define @t717 () (=> @t309 @t716)) % 1.62/1.89 (define @t718 () (forall @t70 (=> @t21 @t345))) % 1.62/1.89 (define @t719 () (=> @t7 @t718)) % 1.62/1.89 (define @t720 () (forall @t9 @t719)) % 1.62/1.89 (define @t721 () (=> @t720 @t717)) % 1.62/1.89 (define @t722 () (forall @t311 @t721)) % 1.62/1.89 (define @t723 () (= tptp.singletonprop @t722)) % 1.62/1.89 (define @t724 () (_ tptp.ex1 @t2)) % 1.62/1.89 (define @t725 () (_ @t724 @t145)) % 1.62/1.89 (define @t726 () (=> @t725 @t309)) % 1.62/1.89 (define @t727 () (forall @t311 @t726)) % 1.62/1.89 (define @t728 () (= tptp.ex1E1 @t727)) % 1.62/1.89 (define @t729 () (_ @t724 @t154)) % 1.62/1.89 (define @t730 () (=> @t153 @t22)) % 1.62/1.89 (define @t731 () (=> @t21 @t730)) % 1.62/1.89 (define @t732 () (forall @t70 @t731)) % 1.62/1.89 (define @t733 () (=> @t732 @t729)) % 1.62/1.89 (define @t734 () (=> @t144 @t733)) % 1.62/1.89 (define @t735 () (=> @t7 @t734)) % 1.62/1.89 (define @t736 () (forall @t159 @t735)) % 1.62/1.89 (define @t737 () (= tptp.ex1I @t736)) % 1.62/1.89 (define @t738 () (=> @t309 @t725)) % 1.62/1.89 (define @t739 () (=> @t720 @t738)) % 1.62/1.89 (define @t740 () (forall @t311 @t739)) % 1.62/1.89 (define @t741 () (= tptp.ex1I2 @t740)) % 1.62/1.89 (define @t742 () (=> (= @t279 @t275) @t129)) % 1.62/1.89 (define @t743 () (forall @t135 @t742)) % 1.62/1.89 (define @t744 () (= tptp.singletonsuniq @t743)) % 1.62/1.89 (define @t745 () (= @t4 @t289)) % 1.62/1.89 (define @t746 () (_ tptp.setadjoin @t289)) % 1.62/1.89 (define @t747 () (_ @t746 tptp.emptyset)) % 1.62/1.89 (define @t748 () (_ (_ tptp.in @t747) @t621)) % 1.62/1.89 (define @t749 () (forall @t297 (=> @t748 @t745))) % 1.62/1.89 (define @t750 () (= tptp.setukpairinjL1 @t749)) % 1.62/1.89 (define @t751 () (_ @t640 @t383)) % 1.62/1.89 (define @t752 () (lambda @t9 @t751)) % 1.62/1.89 (define @t753 () (_ tptp.setunion @t383)) % 1.62/1.89 (define @t754 () (_ tptp.dsetconstr @t753)) % 1.62/1.89 (define @t755 () (_ @t754 @t752)) % 1.62/1.89 (define @t756 () (_ tptp.singleton @t755)) % 1.62/1.89 (define @t757 () (@list @t383)) % 1.62/1.89 (define @t758 () (forall @t757 (=> @t692 @t756))) % 1.62/1.89 (define @t759 () (= tptp.kfstsingleton @t758)) % 1.62/1.89 (define @t760 () (_ tptp.setunion @t695)) % 1.62/1.89 (define @t761 () (_ (_ tptp.in @t760) @t695)) % 1.62/1.89 (define @t762 () (_ tptp.singleton @t695)) % 1.62/1.89 (define @t763 () (forall @t700 (=> @t762 @t761))) % 1.62/1.89 (define @t764 () (= tptp.theprop @t763)) % 1.62/1.89 (define @t765 () (_ tptp.kfst @t633)) % 1.62/1.89 (define @t766 () (= @t765 @t4)) % 1.62/1.89 (define @t767 () (forall @t135 @t766)) % 1.62/1.89 (define @t768 () (= tptp.kfstpairEq @t767)) % 1.62/1.89 (define @t769 () (_ tptp.kfst @t383)) % 1.62/1.89 (define @t770 () (_ (_ tptp.in @t769) @t2)) % 1.62/1.89 (define @t771 () (forall @t689 (=> @t687 @t770))) % 1.62/1.89 (define @t772 () (= tptp.cartprodfstin @t771)) % 1.62/1.89 (define @t773 () (_ (_ tptp.setadjoin @t383) tptp.emptyset)) % 1.62/1.89 (define @t774 () (_ @t746 @t773)) % 1.62/1.89 (define @t775 () (_ (_ tptp.setadjoin @t774) tptp.emptyset)) % 1.62/1.89 (define @t776 () (_ (_ tptp.setadjoin @t747) @t775)) % 1.62/1.89 (define @t777 () (= @t621 @t776)) % 1.62/1.89 (define @t778 () (@list @t4 @t19 @t289 @t383)) % 1.62/1.89 (define @t779 () (forall @t778 (=> @t777 @t745))) % 1.62/1.89 (define @t780 () (= tptp.setukpairinjL2 @t779)) % 1.62/1.89 (define @t781 () (_ tptp.kpair @t289)) % 1.62/1.89 (define @t782 () (_ @t781 @t383)) % 1.62/1.89 (define @t783 () (= @t633 @t782)) % 1.62/1.89 (define @t784 () (forall @t778 (=> @t783 @t745))) % 1.62/1.89 (define @t785 () (= tptp.setukpairinjL @t784)) % 1.62/1.89 (define @t786 () (=> @t129 (= @t293 @t279))) % 1.62/1.89 (define @t787 () (forall @t135 @t786)) % 1.62/1.89 (define @t788 () (= tptp.setukpairinjR11 @t787)) % 1.62/1.89 (define @t789 () (_ @t620 tptp.emptyset)) % 1.62/1.89 (define @t790 () (= @t621 @t789)) % 1.62/1.89 (define @t791 () (forall @t135 (=> @t129 @t790))) % 1.62/1.89 (define @t792 () (= tptp.setukpairinjR12 @t791)) % 1.62/1.89 (define @t793 () (= @t19 @t383)) % 1.62/1.89 (define @t794 () (=> @t387 @t793)) % 1.62/1.89 (define @t795 () (forall @t778 (=> @t777 @t794))) % 1.62/1.89 (define @t796 () (= tptp.setukpairinjR1 @t795)) % 1.62/1.89 (define @t797 () (= @t293 @t747)) % 1.62/1.89 (define @t798 () (forall @t297 (=> @t797 @t129))) % 1.62/1.89 (define @t799 () (= tptp.upairequniteq @t798)) % 1.62/1.89 (define @t800 () (forall @t778 (=> @t777 @t793))) % 1.62/1.89 (define @t801 () (= tptp.setukpairinjR2 @t800)) % 1.62/1.89 (define @t802 () (forall @t778 (=> @t783 @t793))) % 1.62/1.89 (define @t803 () (= tptp.setukpairinjR @t802)) % 1.62/1.89 (define @t804 () (_ tptp.kpair @t769)) % 1.62/1.89 (define @t805 () (_ @t804 @t4)) % 1.62/1.89 (define @t806 () (= @t383 @t805)) % 1.62/1.89 (define @t807 () (lambda @t9 @t806)) % 1.62/1.89 (define @t808 () (_ @t754 @t807)) % 1.62/1.89 (define @t809 () (_ tptp.singleton @t808)) % 1.62/1.89 (define @t810 () (forall @t757 (=> @t692 @t809))) % 1.62/1.89 (define @t811 () (= tptp.ksndsingleton @t810)) % 1.62/1.89 (define @t812 () (_ tptp.ksnd @t633)) % 1.62/1.89 (define @t813 () (= @t812 @t19)) % 1.62/1.89 (define @t814 () (forall @t135 @t813)) % 1.62/1.89 (define @t815 () (= tptp.ksndpairEq @t814)) % 1.62/1.89 (define @t816 () (_ tptp.ksnd @t383)) % 1.62/1.89 (define @t817 () (_ @t804 @t816)) % 1.62/1.89 (define @t818 () (= @t817 @t383)) % 1.62/1.89 (define @t819 () (=> @t692 @t818)) % 1.62/1.89 (define @t820 () (forall @t757 @t819)) % 1.62/1.89 (define @t821 () (= tptp.kpairsurjEq @t820)) % 1.62/1.89 (define @t822 () (_ (_ tptp.in @t816) @t1)) % 1.62/1.89 (define @t823 () (forall @t689 (=> @t687 @t822))) % 1.62/1.89 (define @t824 () (= tptp.cartprodsndin @t823)) % 1.62/1.89 (define @t825 () (@list @t2 @t1 @t4 @t19)) % 1.62/1.89 (define @t826 () (forall @t825 (=> @t676 @t7))) % 1.62/1.89 (define @t827 () (= tptp.cartprodpairmemEL @t826)) % 1.62/1.89 (define @t828 () (forall @t825 (=> @t676 @t354))) % 1.62/1.89 (define @t829 () (= tptp.cartprodpairmemER @t828)) % 1.62/1.89 (define @t830 () (=> @t354 (= @t633 @t633))) % 1.62/1.89 (define @t831 () (forall @t70 @t830)) % 1.62/1.89 (define @t832 () (=> @t7 @t831)) % 1.62/1.89 (define @t833 () (forall @t245 @t832)) % 1.62/1.89 (define @t834 () (= tptp.cartprodmempaircEq @t833)) % 1.62/1.89 (define @t835 () (=> @t354 @t766)) % 1.62/1.89 (define @t836 () (forall @t70 @t835)) % 1.62/1.89 (define @t837 () (=> @t7 @t836)) % 1.62/1.89 (define @t838 () (forall @t245 @t837)) % 1.62/1.89 (define @t839 () (= tptp.cartprodfstpairEq @t838)) % 1.62/1.89 (define @t840 () (=> @t354 @t813)) % 1.62/1.89 (define @t841 () (forall @t70 @t840)) % 1.62/1.89 (define @t842 () (=> @t7 @t841)) % 1.62/1.89 (define @t843 () (forall @t245 @t842)) % 1.62/1.89 (define @t844 () (= tptp.cartprodsndpairEq @t843)) % 1.62/1.89 (define @t845 () (=> @t687 @t818)) % 1.62/1.89 (define @t846 () (forall @t689 @t845)) % 1.62/1.89 (define @t847 () (= tptp.cartprodpairsurjEq @t846)) % 1.62/1.89 (define @t848 () (_ (_ @t67 @t289) @t383)) % 1.62/1.89 (define @t849 () (lambda @t388 @t848)) % 1.62/1.89 (define @t850 () (_ tptp.dpsetconstr @t2)) % 1.62/1.89 (define @t851 () (_ @t850 @t1)) % 1.62/1.89 (define @t852 () (_ @t851 @t849)) % 1.62/1.89 (define @t853 () (_ @t669 @t852)) % 1.62/1.89 (define @t854 () (=> @t76 @t853)) % 1.62/1.89 (define @t855 () (forall @t70 (=> @t354 @t854))) % 1.62/1.89 (define @t856 () (=> @t7 @t855)) % 1.62/1.89 (define @t857 () (@list @t2 @t1 @t67 @t4)) % 1.62/1.89 (define @t858 () (forall @t857 @t856)) % 1.62/1.89 (define @t859 () (= tptp.dpsetconstrI @t858)) % 1.62/1.89 (define @t860 () (lambda @t135 @t76)) % 1.62/1.89 (define @t861 () (_ @t851 @t860)) % 1.62/1.89 (define @t862 () (_ (_ tptp.subset @t861) @t675)) % 1.62/1.89 (define @t863 () (@list @t2 @t1 @t67)) % 1.62/1.89 (define @t864 () (forall @t863 @t862)) % 1.62/1.89 (define @t865 () (= tptp.dpsetconstrSub @t864)) % 1.62/1.89 (define @t866 () (_ (_ tptp.breln @t2) @t1)) % 1.62/1.89 (define @t867 () (_ @t866 @t861)) % 1.62/1.89 (define @t868 () (forall @t863 @t867)) % 1.62/1.89 (define @t869 () (= tptp.setOfPairsIsBReln @t868)) % 1.62/1.89 (define @t870 () (=> @t853 @t76)) % 1.62/1.89 (define @t871 () (forall @t70 (=> @t354 @t870))) % 1.62/1.89 (define @t872 () (=> @t7 @t871)) % 1.62/1.89 (define @t873 () (forall @t857 @t872)) % 1.62/1.89 (define @t874 () (= tptp.dpsetconstrERa @t873)) % 1.62/1.89 (define @t875 () (@list @t2 @t1 @t67 @t4 @t19)) % 1.62/1.89 (define @t876 () (forall @t875 (=> @t853 @t7))) % 1.62/1.89 (define @t877 () (= tptp.dpsetconstrEL1 @t876)) % 1.62/1.89 (define @t878 () (forall @t875 (=> @t853 @t354))) % 1.62/1.89 (define @t879 () (= tptp.dpsetconstrEL2 @t878)) % 1.62/1.89 (define @t880 () (forall @t875 @t870)) % 1.62/1.89 (define @t881 () (= tptp.dpsetconstrER @t880)) % 1.62/1.89 (define @t882 () (@var "Xf" $$unsorted)) % 1.62/1.89 (define @t883 () (_ @t669 @t882)) % 1.62/1.89 (define @t884 () (lambda @t70 @t883)) % 1.62/1.89 (define @t885 () (_ @t410 @t884)) % 1.62/1.89 (define @t886 () (_ tptp.singleton @t885)) % 1.62/1.89 (define @t887 () (forall @t9 (=> @t7 @t886))) % 1.62/1.89 (define @t888 () (_ (_ tptp.func @t2) @t1)) % 1.62/1.89 (define @t889 () (_ @t888 @t882)) % 1.62/1.89 (define @t890 () (=> @t889 @t887)) % 1.62/1.89 (define @t891 () (@list @t2 @t1 @t882)) % 1.62/1.89 (define @t892 () (forall @t891 @t890)) % 1.62/1.89 (define @t893 () (= tptp.funcImageSingleton @t892)) % 1.62/1.89 (define @t894 () (_ tptp.setunion @t885)) % 1.62/1.89 (define @t895 () (_ (_ tptp.in @t894) @t1)) % 1.62/1.89 (define @t896 () (forall @t9 (=> @t7 @t895))) % 1.62/1.89 (define @t897 () (=> @t889 @t896)) % 1.62/1.89 (define @t898 () (forall @t891 @t897)) % 1.62/1.89 (define @t899 () (= tptp.apProp @t898)) % 1.62/1.89 (define @t900 () (_ (_ tptp.ap @t2) @t1)) % 1.62/1.89 (define @t901 () (_ @t900 @t882)) % 1.62/1.89 (define @t902 () (_ @t901 @t4)) % 1.62/1.89 (define @t903 () (_ (_ tptp.in @t902) @t1)) % 1.62/1.89 (define @t904 () (forall @t9 (=> @t7 @t903))) % 1.62/1.89 (define @t905 () (=> @t889 @t904)) % 1.62/1.89 (define @t906 () (forall @t891 @t905)) % 1.62/1.89 (define @t907 () (= tptp.app @t906)) % 1.62/1.89 (define @t908 () (_ (_ tptp.funcSet @t2) @t1)) % 1.62/1.89 (define @t909 () (_ tptp.in @t882)) % 1.62/1.89 (define @t910 () (_ @t909 @t908)) % 1.62/1.89 (define @t911 () (forall @t891 (=> @t910 @t889))) % 1.62/1.89 (define @t912 () (= tptp.infuncsetfunc @t911)) % 1.62/1.89 (define @t913 () (=> @t910 @t904)) % 1.62/1.89 (define @t914 () (forall @t891 @t913)) % 1.62/1.89 (define @t915 () (= tptp.ap2p @t914)) % 1.62/1.89 (define @t916 () (forall @t891 (=> @t889 @t910))) % 1.62/1.89 (define @t917 () (= tptp.funcinfuncset @t916)) % 1.62/1.89 (define @t918 () (@var "Xf" (-> $$unsorted $$unsorted))) % 1.62/1.89 (define @t919 () (_ @t918 @t4)) % 1.62/1.89 (define @t920 () (lambda @t135 (= @t919 @t19))) % 1.62/1.89 (define @t921 () (_ (_ tptp.in @t919) @t1)) % 1.62/1.89 (define @t922 () (forall @t9 (=> @t7 @t921))) % 1.62/1.89 (define @t923 () (=> @t922 (_ @t888 (_ @t851 @t920)))) % 1.62/1.89 (define @t924 () (@list @t2 @t1 @t918)) % 1.62/1.89 (define @t925 () (forall @t924 @t923)) % 1.62/1.89 (define @t926 () (= tptp.lamProp @t925)) % 1.62/1.89 (define @t927 () (lambda @t9 @t919)) % 1.62/1.89 (define @t928 () (_ (_ tptp.lam @t2) @t1)) % 1.62/1.89 (define @t929 () (_ @t928 @t927)) % 1.62/1.89 (define @t930 () (_ @t888 @t929)) % 1.62/1.89 (define @t931 () (=> @t922 @t930)) % 1.62/1.89 (define @t932 () (forall @t924 @t931)) % 1.62/1.89 (define @t933 () (= tptp.lamp @t932)) % 1.62/1.89 (define @t934 () (_ (_ tptp.in @t929) @t908)) % 1.62/1.89 (define @t935 () (=> @t922 @t934)) % 1.62/1.89 (define @t936 () (forall @t924 @t935)) % 1.62/1.89 (define @t937 () (= tptp.lam2p @t936)) % 1.62/1.89 (define @t938 () (@var "R" $$unsorted)) % 1.62/1.89 (define @t939 () (_ @t5 @t938)) % 1.62/1.89 (define @t940 () (forall @t9 (=> @t939 @t144))) % 1.62/1.89 (define @t941 () (_ @t143 @t633)) % 1.62/1.89 (define @t942 () (_ @t669 @t938)) % 1.62/1.89 (define @t943 () (=> @t942 @t941)) % 1.62/1.89 (define @t944 () (forall @t70 (=> @t354 @t943))) % 1.62/1.89 (define @t945 () (=> @t7 @t944)) % 1.62/1.89 (define @t946 () (forall @t9 @t945)) % 1.62/1.89 (define @t947 () (=> @t946 @t940)) % 1.62/1.89 (define @t948 () (forall @t150 @t947)) % 1.62/1.89 (define @t949 () (_ @t866 @t938)) % 1.62/1.89 (define @t950 () (=> @t949 @t948)) % 1.62/1.89 (define @t951 () (@list @t2 @t1 @t938)) % 1.62/1.89 (define @t952 () (forall @t951 @t950)) % 1.62/1.89 (define @t953 () (= tptp.brelnall1 @t952)) % 1.62/1.89 (define @t954 () (=> @t725 @t720)) % 1.62/1.89 (define @t955 () (forall @t311 @t954)) % 1.62/1.89 (define @t956 () (= tptp.ex1E2 @t955)) % 1.62/1.89 (define @t957 () (_ @t632 @t902)) % 1.62/1.89 (define @t958 () (_ (_ tptp.in @t957) @t882)) % 1.62/1.89 (define @t959 () (forall @t9 (=> @t7 @t958))) % 1.62/1.89 (define @t960 () (=> @t889 @t959)) % 1.62/1.89 (define @t961 () (forall @t891 @t960)) % 1.62/1.89 (define @t962 () (= tptp.funcGraphProp1 @t961)) % 1.62/1.89 (define @t963 () (=> @t910 @t959)) % 1.62/1.89 (define @t964 () (forall @t891 @t963)) % 1.62/1.89 (define @t965 () (= tptp.funcGraphProp3 @t964)) % 1.62/1.89 (define @t966 () (=> @t883 (= @t902 @t19))) % 1.62/1.89 (define @t967 () (=> @t354 @t966)) % 1.62/1.89 (define @t968 () (forall @t70 @t967)) % 1.62/1.89 (define @t969 () (=> @t7 @t968)) % 1.62/1.89 (define @t970 () (forall @t9 @t969)) % 1.62/1.89 (define @t971 () (=> @t889 @t970)) % 1.62/1.89 (define @t972 () (forall @t891 @t971)) % 1.62/1.89 (define @t973 () (= tptp.funcGraphProp2 @t972)) % 1.62/1.89 (define @t974 () (@var "Xg" $$unsorted)) % 1.62/1.89 (define @t975 () (_ @t669 @t974)) % 1.62/1.89 (define @t976 () (=> @t975 @t883)) % 1.62/1.89 (define @t977 () (forall @t70 (=> @t354 @t976))) % 1.62/1.89 (define @t978 () (=> @t7 @t977)) % 1.62/1.89 (define @t979 () (forall @t9 @t978)) % 1.62/1.89 (define @t980 () (_ (_ @t900 @t974) @t4)) % 1.62/1.89 (define @t981 () (= @t902 @t980)) % 1.62/1.89 (define @t982 () (forall @t9 (=> @t7 @t981))) % 1.62/1.89 (define @t983 () (=> @t982 @t979)) % 1.62/1.89 (define @t984 () (_ @t888 @t974)) % 1.62/1.89 (define @t985 () (=> @t984 @t983)) % 1.62/1.89 (define @t986 () (@list @t974)) % 1.62/1.89 (define @t987 () (forall @t986 @t985)) % 1.62/1.89 (define @t988 () (=> @t889 @t987)) % 1.62/1.89 (define @t989 () (forall @t891 @t988)) % 1.62/1.89 (define @t990 () (= tptp.funcextLem @t989)) % 1.62/1.89 (define @t991 () (=> @t910 @t970)) % 1.62/1.89 (define @t992 () (forall @t891 @t991)) % 1.62/1.89 (define @t993 () (= tptp.funcGraphProp4 @t992)) % 1.62/1.89 (define @t994 () (@var "S" $$unsorted)) % 1.62/1.89 (define @t995 () (_ (_ tptp.subset @t938) @t994)) % 1.62/1.89 (define @t996 () (_ @t669 @t994)) % 1.62/1.89 (define @t997 () (=> @t942 @t996)) % 1.62/1.89 (define @t998 () (forall @t70 (=> @t354 @t997))) % 1.62/1.89 (define @t999 () (=> @t7 @t998)) % 1.62/1.89 (define @t1000 () (forall @t9 @t999)) % 1.62/1.89 (define @t1001 () (=> @t1000 @t995)) % 1.62/1.89 (define @t1002 () (_ @t866 @t994)) % 1.62/1.89 (define @t1003 () (=> @t1002 @t1001)) % 1.62/1.89 (define @t1004 () (@list @t994)) % 1.62/1.89 (define @t1005 () (forall @t1004 @t1003)) % 1.62/1.89 (define @t1006 () (=> @t949 @t1005)) % 1.62/1.89 (define @t1007 () (forall @t951 @t1006)) % 1.62/1.89 (define @t1008 () (= tptp.subbreln @t1007)) % 1.62/1.89 (define @t1009 () (= @t938 @t994)) % 1.62/1.89 (define @t1010 () (=> @t996 @t942)) % 1.62/1.89 (define @t1011 () (forall @t70 (=> @t354 @t1010))) % 1.62/1.89 (define @t1012 () (=> @t7 @t1011)) % 1.62/1.89 (define @t1013 () (forall @t9 @t1012)) % 1.62/1.89 (define @t1014 () (=> @t1013 @t1009)) % 1.62/1.89 (define @t1015 () (=> @t1000 @t1014)) % 1.62/1.89 (define @t1016 () (=> @t1002 @t1015)) % 1.62/1.89 (define @t1017 () (forall @t1004 @t1016)) % 1.62/1.89 (define @t1018 () (=> @t949 @t1017)) % 1.62/1.89 (define @t1019 () (forall @t951 @t1018)) % 1.62/1.89 (define @t1020 () (= tptp.eqbreln @t1019)) % 1.62/1.89 (define @t1021 () (= @t882 @t974)) % 1.62/1.89 (define @t1022 () (=> @t982 @t1021)) % 1.62/1.89 (define @t1023 () (=> @t984 @t1022)) % 1.62/1.89 (define @t1024 () (forall @t986 @t1023)) % 1.62/1.89 (define @t1025 () (=> @t889 @t1024)) % 1.62/1.89 (define @t1026 () (forall @t891 @t1025)) % 1.62/1.89 (define @t1027 () (= tptp.funcext @t1026)) % 1.62/1.89 (define @t1028 () (_ tptp.in @t974)) % 1.62/1.89 (define @t1029 () (_ @t1028 @t908)) % 1.62/1.89 (define @t1030 () (=> @t1029 @t1022)) % 1.62/1.89 (define @t1031 () (forall @t986 @t1030)) % 1.62/1.89 (define @t1032 () (=> @t910 @t1031)) % 1.62/1.89 (define @t1033 () (forall @t891 @t1032)) % 1.62/1.89 (define @t1034 () (= tptp.funcext2 @t1033)) % 1.62/1.89 (define @t1035 () (=> @t7 (= @t902 @t902))) % 1.62/1.89 (define @t1036 () (forall @t9 @t1035)) % 1.62/1.89 (define @t1037 () (=> @t910 @t1036)) % 1.62/1.89 (define @t1038 () (forall @t891 @t1037)) % 1.62/1.89 (define @t1039 () (= tptp.ap2apEq1 @t1038)) % 1.62/1.89 (define @t1040 () (=> @t889 @t1036)) % 1.62/1.89 (define @t1041 () (forall @t891 @t1040)) % 1.62/1.89 (define @t1042 () (= tptp.ap2apEq2 @t1041)) % 1.62/1.89 (define @t1043 () (_ @t918 @t19)) % 1.62/1.89 (define @t1044 () (lambda @t70 @t1043)) % 1.62/1.89 (define @t1045 () (_ @t928 @t1044)) % 1.62/1.89 (define @t1046 () (_ (_ @t900 @t1045) @t4)) % 1.62/1.89 (define @t1047 () (=> @t7 (= @t1046 @t919))) % 1.62/1.89 (define @t1048 () (forall @t9 @t1047)) % 1.62/1.89 (define @t1049 () (=> @t922 @t1048)) % 1.62/1.89 (define @t1050 () (forall @t924 @t1049)) % 1.62/1.89 (define @t1051 () (= tptp.beta1 @t1050)) % 1.62/1.89 (define @t1052 () (lambda @t9 @t902)) % 1.62/1.89 (define @t1053 () (_ @t928 @t1052)) % 1.62/1.89 (define @t1054 () (= @t1053 @t882)) % 1.62/1.89 (define @t1055 () (=> @t889 @t1054)) % 1.62/1.89 (define @t1056 () (forall @t891 @t1055)) % 1.62/1.89 (define @t1057 () (= tptp.eta1 @t1056)) % 1.62/1.89 (define @t1058 () (=> @t922 (= @t929 @t929))) % 1.62/1.89 (define @t1059 () (forall @t924 @t1058)) % 1.62/1.89 (define @t1060 () (= tptp.lam2lamEq @t1059)) % 1.62/1.89 (define @t1061 () (=> @t910 @t1054)) % 1.62/1.89 (define @t1062 () (forall @t891 @t1061)) % 1.62/1.89 (define @t1063 () (= tptp.eta2 @t1062)) % 1.62/1.89 (define @t1064 () (not @t173)) % 1.62/1.89 (define @t1065 () (and @t1064 @t290)) % 1.62/1.89 (define @t1066 () (and @t173 @t291)) % 1.62/1.89 (define @t1067 () (or @t1066 @t1065)) % 1.62/1.89 (define @t1068 () (@list @t289)) % 1.62/1.89 (define @t1069 () (lambda @t1068 @t1067)) % 1.62/1.89 (define @t1070 () (_ @t155 @t1069)) % 1.62/1.89 (define @t1071 () (=> @t1064 (_ @t20 @t1070))) % 1.62/1.89 (define @t1072 () (=> @t21 @t1071)) % 1.62/1.89 (define @t1073 () (forall @t70 @t1072)) % 1.62/1.89 (define @t1074 () (=> @t7 @t1073)) % 1.62/1.89 (define @t1075 () (@list @t2 @t173 @t4)) % 1.62/1.89 (define @t1076 () (forall @t1075 @t1074)) % 1.62/1.89 (define @t1077 () (= tptp.iffalseProp1 @t1076)) % 1.62/1.89 (define @t1078 () (= @t1070 @t275)) % 1.62/1.89 (define @t1079 () (=> @t1064 @t1078)) % 1.62/1.89 (define @t1080 () (=> @t21 @t1079)) % 1.62/1.89 (define @t1081 () (forall @t70 @t1080)) % 1.62/1.89 (define @t1082 () (=> @t7 @t1081)) % 1.62/1.89 (define @t1083 () (forall @t1075 @t1082)) % 1.62/1.89 (define @t1084 () (= tptp.iffalseProp2 @t1083)) % 1.62/1.89 (define @t1085 () (=> @t173 (_ @t5 @t1070))) % 1.62/1.89 (define @t1086 () (=> @t21 @t1085)) % 1.62/1.89 (define @t1087 () (forall @t70 @t1086)) % 1.62/1.89 (define @t1088 () (=> @t7 @t1087)) % 1.62/1.89 (define @t1089 () (forall @t1075 @t1088)) % 1.62/1.89 (define @t1090 () (= tptp.iftrueProp1 @t1089)) % 1.62/1.89 (define @t1091 () (= @t1070 @t279)) % 1.62/1.89 (define @t1092 () (=> @t173 @t1091)) % 1.62/1.89 (define @t1093 () (=> @t21 @t1092)) % 1.62/1.89 (define @t1094 () (forall @t70 @t1093)) % 1.62/1.89 (define @t1095 () (=> @t7 @t1094)) % 1.62/1.89 (define @t1096 () (forall @t1075 @t1095)) % 1.62/1.89 (define @t1097 () (= tptp.iftrueProp2 @t1096)) % 1.62/1.89 (define @t1098 () (=> @t21 (_ tptp.singleton @t1070))) % 1.62/1.89 (define @t1099 () (forall @t70 @t1098)) % 1.62/1.89 (define @t1100 () (=> @t7 @t1099)) % 1.62/1.89 (define @t1101 () (forall @t1075 @t1100)) % 1.62/1.89 (define @t1102 () (= tptp.ifSingleton @t1101)) % 1.62/1.89 (define @t1103 () (_ (_ (_ (_ tptp.if @t2) @t173) @t4) @t19)) % 1.62/1.89 (define @t1104 () (_ tptp.in @t1103)) % 1.62/1.89 (define @t1105 () (_ @t1104 @t2)) % 1.62/1.89 (define @t1106 () (forall @t70 (=> @t21 @t1105))) % 1.62/1.89 (define @t1107 () (=> @t7 @t1106)) % 1.62/1.89 (define @t1108 () (forall @t1075 @t1107)) % 1.62/1.89 (define @t1109 () (= tptp.ifp @t1108)) % 1.62/1.89 (define @t1110 () (=> @t696 (= @t760 @t4))) % 1.62/1.89 (define @t1111 () (forall @t9 @t1110)) % 1.62/1.89 (define @t1112 () (=> @t762 @t1111)) % 1.62/1.89 (define @t1113 () (forall @t700 @t1112)) % 1.62/1.89 (define @t1114 () (= tptp.theeq @t1113)) % 1.62/1.89 (define @t1115 () (=> @t173 (= @t1103 @t4))) % 1.62/1.89 (define @t1116 () (=> @t21 @t1115)) % 1.62/1.89 (define @t1117 () (forall @t70 @t1116)) % 1.62/1.89 (define @t1118 () (=> @t7 @t1117)) % 1.62/1.89 (define @t1119 () (forall @t1075 @t1118)) % 1.62/1.89 (define @t1120 () (= tptp.iftrue @t1119)) % 1.62/1.89 (define @t1121 () (=> @t1064 (= @t1103 @t19))) % 1.62/1.89 (define @t1122 () (=> @t21 @t1121)) % 1.62/1.89 (define @t1123 () (forall @t70 @t1122)) % 1.62/1.89 (define @t1124 () (=> @t7 @t1123)) % 1.62/1.89 (define @t1125 () (forall @t1075 @t1124)) % 1.62/1.89 (define @t1126 () (= tptp.iffalse @t1125)) % 1.62/1.89 (define @t1127 () (_ @t1104 @t293)) % 1.62/1.89 (define @t1128 () (forall @t70 (=> @t21 @t1127))) % 1.62/1.89 (define @t1129 () (=> @t7 @t1128)) % 1.62/1.89 (define @t1130 () (forall @t1075 @t1129)) % 1.62/1.89 (define @t1131 () (= tptp.iftrueorfalse @t1130)) % 1.62/1.89 (define @t1132 () (@var "Y" $$unsorted)) % 1.62/1.89 (define @t1133 () (_ (_ tptp.binintersect @t695) @t1132)) % 1.62/1.89 (define @t1134 () (_ tptp.in @t1133)) % 1.62/1.89 (define @t1135 () (_ @t1134 @t33)) % 1.62/1.89 (define @t1136 () (_ tptp.in @t1132)) % 1.62/1.89 (define @t1137 () (_ @t1136 @t33)) % 1.62/1.89 (define @t1138 () (@list @t1132)) % 1.62/1.89 (define @t1139 () (forall @t1138 (=> @t1137 @t1135))) % 1.62/1.89 (define @t1140 () (_ @t697 @t33)) % 1.62/1.89 (define @t1141 () (=> @t1140 @t1139)) % 1.62/1.89 (define @t1142 () (@list @t2 @t695)) % 1.62/1.89 (define @t1143 () (forall @t1142 @t1141)) % 1.62/1.89 (define @t1144 () (= tptp.binintersectT_lem @t1143)) % 1.62/1.89 (define @t1145 () (_ tptp.binunion @t695)) % 1.62/1.89 (define @t1146 () (_ @t1145 @t1132)) % 1.62/1.89 (define @t1147 () (_ (_ tptp.in @t1146) @t33)) % 1.62/1.89 (define @t1148 () (forall @t1138 (=> @t1137 @t1147))) % 1.62/1.89 (define @t1149 () (=> @t1140 @t1148)) % 1.62/1.89 (define @t1150 () (forall @t1142 @t1149)) % 1.62/1.89 (define @t1151 () (= tptp.binunionT_lem @t1150)) % 1.62/1.89 (define @t1152 () (_ tptp.powerset @t33)) % 1.62/1.89 (define @t1153 () (_ tptp.powerset @t695)) % 1.62/1.89 (define @t1154 () (_ (_ tptp.in @t1153) @t1152)) % 1.62/1.89 (define @t1155 () (forall @t1142 (=> @t1140 @t1154))) % 1.62/1.89 (define @t1156 () (= tptp.powersetT_lem @t1155)) % 1.62/1.89 (define @t1157 () (_ (_ tptp.setminus @t695) @t1132)) % 1.62/1.89 (define @t1158 () (_ (_ tptp.in @t1157) @t33)) % 1.62/1.89 (define @t1159 () (forall @t1138 (=> @t1137 @t1158))) % 1.62/1.89 (define @t1160 () (=> @t1140 @t1159)) % 1.62/1.89 (define @t1161 () (forall @t1142 @t1160)) % 1.62/1.89 (define @t1162 () (= tptp.setminusT_lem @t1161)) % 1.62/1.89 (define @t1163 () (_ @t567 @t695)) % 1.62/1.89 (define @t1164 () (_ tptp.in @t1163)) % 1.62/1.89 (define @t1165 () (_ @t1164 @t33)) % 1.62/1.89 (define @t1166 () (forall @t1142 (=> @t1140 @t1165))) % 1.62/1.89 (define @t1167 () (= tptp.complementT_lem @t1166)) % 1.62/1.89 (define @t1168 () (= @t695 @t1132)) % 1.62/1.89 (define @t1169 () (_ @t5 @t1132)) % 1.62/1.89 (define @t1170 () (=> @t1169 @t696)) % 1.62/1.89 (define @t1171 () (forall @t9 (=> @t7 @t1170))) % 1.62/1.89 (define @t1172 () (=> @t1171 @t1168)) % 1.62/1.89 (define @t1173 () (=> @t696 @t1169)) % 1.62/1.89 (define @t1174 () (forall @t9 (=> @t7 @t1173))) % 1.62/1.89 (define @t1175 () (=> @t1174 @t1172)) % 1.62/1.89 (define @t1176 () (=> @t1137 @t1175)) % 1.62/1.89 (define @t1177 () (forall @t1138 @t1176)) % 1.62/1.89 (define @t1178 () (=> @t1140 @t1177)) % 1.62/1.89 (define @t1179 () (forall @t1142 @t1178)) % 1.62/1.89 (define @t1180 () (= tptp.setextT @t1179)) % 1.62/1.89 (define @t1181 () (_ tptp.subset @t695)) % 1.62/1.89 (define @t1182 () (_ @t1181 @t1132)) % 1.62/1.89 (define @t1183 () (=> @t1174 @t1182)) % 1.62/1.89 (define @t1184 () (=> @t1137 @t1183)) % 1.62/1.89 (define @t1185 () (forall @t1138 @t1184)) % 1.62/1.89 (define @t1186 () (=> @t1140 @t1185)) % 1.62/1.89 (define @t1187 () (forall @t1142 @t1186)) % 1.62/1.89 (define @t1188 () (= tptp.subsetTI @t1187)) % 1.62/1.89 (define @t1189 () (_ tptp.powerset @t1132)) % 1.62/1.89 (define @t1190 () (_ @t697 @t1189)) % 1.62/1.89 (define @t1191 () (=> @t1174 @t1190)) % 1.62/1.89 (define @t1192 () (=> @t1137 @t1191)) % 1.62/1.89 (define @t1193 () (forall @t1138 @t1192)) % 1.62/1.89 (define @t1194 () (=> @t1140 @t1193)) % 1.62/1.89 (define @t1195 () (forall @t1142 @t1194)) % 1.62/1.89 (define @t1196 () (= tptp.powersetTI1 @t1195)) % 1.62/1.89 (define @t1197 () (=> @t1190 @t1173)) % 1.62/1.89 (define @t1198 () (forall @t9 (=> @t7 @t1197))) % 1.62/1.89 (define @t1199 () (=> @t1137 @t1198)) % 1.62/1.89 (define @t1200 () (forall @t1138 @t1199)) % 1.62/1.89 (define @t1201 () (=> @t1140 @t1200)) % 1.62/1.89 (define @t1202 () (forall @t1142 @t1201)) % 1.62/1.89 (define @t1203 () (= tptp.powersetTE1 @t1202)) % 1.62/1.89 (define @t1204 () (_ @t5 @t1163)) % 1.62/1.89 (define @t1205 () (not @t1204)) % 1.62/1.89 (define @t1206 () (=> @t696 @t1205)) % 1.62/1.89 (define @t1207 () (forall @t9 (=> @t7 @t1206))) % 1.62/1.89 (define @t1208 () (=> @t1140 @t1207)) % 1.62/1.89 (define @t1209 () (forall @t1142 @t1208)) % 1.62/1.89 (define @t1210 () (= tptp.complementTI1 @t1209)) % 1.62/1.89 (define @t1211 () (=> @t1205 @t696)) % 1.62/1.89 (define @t1212 () (forall @t9 (=> @t7 @t1211))) % 1.62/1.89 (define @t1213 () (=> @t1140 @t1212)) % 1.62/1.89 (define @t1214 () (forall @t1142 @t1213)) % 1.62/1.89 (define @t1215 () (= tptp.complementTE1 @t1214)) % 1.62/1.89 (define @t1216 () (_ @t5 @t1133)) % 1.62/1.89 (define @t1217 () (not @t1216)) % 1.62/1.89 (define @t1218 () (not @t696)) % 1.62/1.89 (define @t1219 () (=> @t1218 @t1217)) % 1.62/1.89 (define @t1220 () (forall @t9 (=> @t7 @t1219))) % 1.62/1.89 (define @t1221 () (=> @t1137 @t1220)) % 1.62/1.89 (define @t1222 () (forall @t1138 @t1221)) % 1.62/1.89 (define @t1223 () (=> @t1140 @t1222)) % 1.62/1.89 (define @t1224 () (forall @t1142 @t1223)) % 1.62/1.89 (define @t1225 () (= tptp.binintersectTELcontra @t1224)) % 1.62/1.89 (define @t1226 () (not @t1169)) % 1.62/1.89 (define @t1227 () (=> @t1226 @t1217)) % 1.62/1.89 (define @t1228 () (forall @t9 (=> @t7 @t1227))) % 1.62/1.89 (define @t1229 () (=> @t1137 @t1228)) % 1.62/1.89 (define @t1230 () (forall @t1138 @t1229)) % 1.62/1.89 (define @t1231 () (=> @t1140 @t1230)) % 1.62/1.89 (define @t1232 () (forall @t1142 @t1231)) % 1.62/1.89 (define @t1233 () (= tptp.binintersectTERcontra @t1232)) % 1.62/1.89 (define @t1234 () (=> @t1169 @t1218)) % 1.62/1.89 (define @t1235 () (_ @t567 @t1132)) % 1.62/1.89 (define @t1236 () (_ @t1181 @t1235)) % 1.62/1.89 (define @t1237 () (=> @t1236 @t1234)) % 1.62/1.89 (define @t1238 () (forall @t9 (=> @t7 @t1237))) % 1.62/1.89 (define @t1239 () (=> @t1137 @t1238)) % 1.62/1.89 (define @t1240 () (forall @t1138 @t1239)) % 1.62/1.89 (define @t1241 () (=> @t1140 @t1240)) % 1.62/1.89 (define @t1242 () (forall @t1142 @t1241)) % 1.62/1.89 (define @t1243 () (= tptp.contrasubsetT @t1242)) % 1.62/1.89 (define @t1244 () (=> @t1226 @t1218)) % 1.62/1.89 (define @t1245 () (=> @t1182 @t1244)) % 1.62/1.89 (define @t1246 () (forall @t9 (=> @t7 @t1245))) % 1.62/1.89 (define @t1247 () (=> @t1137 @t1246)) % 1.62/1.89 (define @t1248 () (forall @t1138 @t1247)) % 1.62/1.89 (define @t1249 () (=> @t1140 @t1248)) % 1.62/1.89 (define @t1250 () (forall @t1142 @t1249)) % 1.62/1.89 (define @t1251 () (= tptp.contrasubsetT1 @t1250)) % 1.62/1.89 (define @t1252 () (_ (_ tptp.subset @t1235) @t1163)) % 1.62/1.89 (define @t1253 () (=> @t1182 @t1252)) % 1.62/1.89 (define @t1254 () (forall @t1138 (=> @t1137 @t1253))) % 1.62/1.89 (define @t1255 () (=> @t1140 @t1254)) % 1.62/1.89 (define @t1256 () (forall @t1142 @t1255)) % 1.62/1.89 (define @t1257 () (= tptp.contrasubsetT2 @t1256)) % 1.62/1.89 (define @t1258 () (=> @t1252 @t1182)) % 1.62/1.89 (define @t1259 () (forall @t1138 (=> @t1137 @t1258))) % 1.62/1.89 (define @t1260 () (=> @t1140 @t1259)) % 1.62/1.89 (define @t1261 () (forall @t1142 @t1260)) % 1.62/1.89 (define @t1262 () (= tptp.contrasubsetT3 @t1261)) % 1.62/1.89 (define @t1263 () (_ @t567 @t1163)) % 1.62/1.89 (define @t1264 () (_ @t5 @t1263)) % 1.62/1.89 (define @t1265 () (=> @t696 @t1264)) % 1.62/1.89 (define @t1266 () (forall @t9 (=> @t7 @t1265))) % 1.62/1.89 (define @t1267 () (=> @t1140 @t1266)) % 1.62/1.89 (define @t1268 () (forall @t1142 @t1267)) % 1.62/1.89 (define @t1269 () (= tptp.doubleComplementI1 @t1268)) % 1.62/1.89 (define @t1270 () (=> @t1264 @t696)) % 1.62/1.89 (define @t1271 () (forall @t9 (=> @t7 @t1270))) % 1.62/1.89 (define @t1272 () (=> @t1140 @t1271)) % 1.62/1.89 (define @t1273 () (forall @t1142 @t1272)) % 1.62/1.89 (define @t1274 () (= tptp.doubleComplementE1 @t1273)) % 1.62/1.89 (define @t1275 () (_ @t1181 @t1263)) % 1.62/1.89 (define @t1276 () (forall @t1142 (=> @t1140 @t1275))) % 1.62/1.89 (define @t1277 () (= tptp.doubleComplementSub1 @t1276)) % 1.62/1.89 (define @t1278 () (_ (_ tptp.subset @t1263) @t695)) % 1.62/1.89 (define @t1279 () (forall @t1142 (=> @t1140 @t1278))) % 1.62/1.89 (define @t1280 () (= tptp.doubleComplementSub2 @t1279)) % 1.62/1.89 (define @t1281 () (= @t695 @t1263)) % 1.62/1.89 (define @t1282 () (forall @t1142 (=> @t1140 @t1281))) % 1.62/1.89 (define @t1283 () (= tptp.doubleComplementEq @t1282)) % 1.62/1.89 (define @t1284 () (=> @t1204 @t1217)) % 1.62/1.89 (define @t1285 () (forall @t9 (=> @t7 @t1284))) % 1.62/1.89 (define @t1286 () (=> @t1137 @t1285)) % 1.62/1.89 (define @t1287 () (forall @t1138 @t1286)) % 1.62/1.89 (define @t1288 () (=> @t1140 @t1287)) % 1.62/1.89 (define @t1289 () (forall @t1142 @t1288)) % 1.62/1.89 (define @t1290 () (= tptp.complementTnotintersectT @t1289)) % 1.62/1.89 (define @t1291 () (_ @t567 @t1133)) % 1.62/1.89 (define @t1292 () (_ @t5 @t1291)) % 1.62/1.89 (define @t1293 () (=> @t1204 @t1292)) % 1.62/1.89 (define @t1294 () (forall @t9 (=> @t7 @t1293))) % 1.62/1.89 (define @t1295 () (=> @t1137 @t1294)) % 1.62/1.89 (define @t1296 () (forall @t1138 @t1295)) % 1.62/1.89 (define @t1297 () (=> @t1140 @t1296)) % 1.62/1.89 (define @t1298 () (forall @t1142 @t1297)) % 1.62/1.89 (define @t1299 () (= tptp.complementImpComplementIntersect @t1298)) % 1.62/1.89 (define @t1300 () (_ (_ tptp.subset @t1163) @t1291)) % 1.62/1.89 (define @t1301 () (forall @t1138 (=> @t1137 @t1300))) % 1.62/1.89 (define @t1302 () (=> @t1140 @t1301)) % 1.62/1.89 (define @t1303 () (forall @t1142 @t1302)) % 1.62/1.89 (define @t1304 () (= tptp.complementSubsetComplementIntersect @t1303)) % 1.62/1.89 (define @t1305 () (_ tptp.powerset @t1291)) % 1.62/1.89 (define @t1306 () (_ @t1164 @t1305)) % 1.62/1.89 (define @t1307 () (forall @t1138 (=> @t1137 @t1306))) % 1.62/1.89 (define @t1308 () (=> @t1140 @t1307)) % 1.62/1.89 (define @t1309 () (forall @t1142 @t1308)) % 1.62/1.89 (define @t1310 () (= tptp.complementInPowersetComplementIntersect @t1309)) % 1.62/1.89 (define @t1311 () (=> @t1169 @t1204)) % 1.62/1.89 (define @t1312 () (forall @t9 (=> @t7 @t1311))) % 1.62/1.89 (define @t1313 () (=> @t1236 @t1312)) % 1.62/1.89 (define @t1314 () (=> @t1137 @t1313)) % 1.62/1.89 (define @t1315 () (forall @t1138 @t1314)) % 1.62/1.89 (define @t1316 () (=> @t1140 @t1315)) % 1.62/1.89 (define @t1317 () (forall @t1142 @t1316)) % 1.62/1.89 (define @t1318 () (= tptp.contraSubsetComplement @t1317)) % 1.62/1.89 (define @t1319 () (_ tptp.subset @t1132)) % 1.62/1.89 (define @t1320 () (_ @t1319 @t1163)) % 1.62/1.89 (define @t1321 () (=> @t1236 @t1320)) % 1.62/1.89 (define @t1322 () (forall @t1138 (=> @t1137 @t1321))) % 1.62/1.89 (define @t1323 () (=> @t1140 @t1322)) % 1.62/1.89 (define @t1324 () (forall @t1142 @t1323)) % 1.62/1.89 (define @t1325 () (= tptp.complementTcontraSubset @t1324)) % 1.62/1.89 (define @t1326 () (_ @t5 @t1146)) % 1.62/1.89 (define @t1327 () (not @t1326)) % 1.62/1.89 (define @t1328 () (=> @t1327 @t1218)) % 1.62/1.89 (define @t1329 () (forall @t9 (=> @t7 @t1328))) % 1.62/1.89 (define @t1330 () (=> @t1137 @t1329)) % 1.62/1.89 (define @t1331 () (forall @t1138 @t1330)) % 1.62/1.89 (define @t1332 () (=> @t1140 @t1331)) % 1.62/1.89 (define @t1333 () (forall @t1142 @t1332)) % 1.62/1.89 (define @t1334 () (= tptp.binunionTILcontra @t1333)) % 1.62/1.89 (define @t1335 () (=> @t1327 @t1226)) % 1.62/1.89 (define @t1336 () (forall @t9 (=> @t7 @t1335))) % 1.62/1.89 (define @t1337 () (=> @t1137 @t1336)) % 1.62/1.89 (define @t1338 () (forall @t1138 @t1337)) % 1.62/1.89 (define @t1339 () (=> @t1140 @t1338)) % 1.62/1.89 (define @t1340 () (forall @t1142 @t1339)) % 1.62/1.89 (define @t1341 () (= tptp.binunionTIRcontra @t1340)) % 1.62/1.89 (define @t1342 () (@var "Z" $$unsorted)) % 1.62/1.89 (define @t1343 () (_ @t1145 @t1342)) % 1.62/1.89 (define @t1344 () (_ @t5 @t1343)) % 1.62/1.89 (define @t1345 () (=> @t1216 @t1344)) % 1.62/1.89 (define @t1346 () (forall @t9 (=> @t7 @t1345))) % 1.62/1.89 (define @t1347 () (_ tptp.in @t1342)) % 1.62/1.89 (define @t1348 () (_ @t1347 @t33)) % 1.62/1.89 (define @t1349 () (=> @t1348 @t1346)) % 1.62/1.89 (define @t1350 () (@list @t1342)) % 1.62/1.89 (define @t1351 () (forall @t1350 @t1349)) % 1.62/1.89 (define @t1352 () (=> @t1137 @t1351)) % 1.62/1.89 (define @t1353 () (forall @t1138 @t1352)) % 1.62/1.89 (define @t1354 () (=> @t1140 @t1353)) % 1.62/1.89 (define @t1355 () (forall @t1142 @t1354)) % 1.62/1.89 (define @t1356 () (= tptp.inIntersectImpInUnion @t1355)) % 1.62/1.89 (define @t1357 () (_ (_ tptp.binunion @t1132) @t1342)) % 1.62/1.89 (define @t1358 () (_ @t5 @t1357)) % 1.62/1.89 (define @t1359 () (=> @t1216 @t1358)) % 1.62/1.89 (define @t1360 () (forall @t9 (=> @t7 @t1359))) % 1.62/1.89 (define @t1361 () (=> @t1348 @t1360)) % 1.62/1.89 (define @t1362 () (forall @t1350 @t1361)) % 1.62/1.89 (define @t1363 () (=> @t1137 @t1362)) % 1.62/1.89 (define @t1364 () (forall @t1138 @t1363)) % 1.62/1.89 (define @t1365 () (=> @t1140 @t1364)) % 1.62/1.89 (define @t1366 () (forall @t1142 @t1365)) % 1.62/1.89 (define @t1367 () (= tptp.inIntersectImpInUnion2 @t1366)) % 1.62/1.89 (define @t1368 () (_ (_ tptp.binintersect @t1343) @t1357)) % 1.62/1.89 (define @t1369 () (_ @t5 @t1368)) % 1.62/1.89 (define @t1370 () (=> @t1216 @t1369)) % 1.62/1.89 (define @t1371 () (forall @t9 (=> @t7 @t1370))) % 1.62/1.89 (define @t1372 () (=> @t1348 @t1371)) % 1.62/1.89 (define @t1373 () (forall @t1350 @t1372)) % 1.62/1.89 (define @t1374 () (=> @t1137 @t1373)) % 1.62/1.89 (define @t1375 () (forall @t1138 @t1374)) % 1.62/1.89 (define @t1376 () (=> @t1140 @t1375)) % 1.62/1.89 (define @t1377 () (forall @t1142 @t1376)) % 1.62/1.89 (define @t1378 () (= tptp.inIntersectImpInIntersectUnions @t1377)) % 1.62/1.89 (define @t1379 () (_ tptp.powerset @t1368)) % 1.62/1.89 (define @t1380 () (_ @t1134 @t1379)) % 1.62/1.89 (define @t1381 () (forall @t1350 (=> @t1348 @t1380))) % 1.62/1.89 (define @t1382 () (=> @t1137 @t1381)) % 1.62/1.89 (define @t1383 () (forall @t1138 @t1382)) % 1.62/1.89 (define @t1384 () (=> @t1140 @t1383)) % 1.62/1.89 (define @t1385 () (forall @t1142 @t1384)) % 1.62/1.89 (define @t1386 () (= tptp.intersectInPowersetIntersectUnions @t1385)) % 1.62/1.89 (define @t1387 () (_ @t567 @t1146)) % 1.62/1.89 (define @t1388 () (_ @t5 @t1387)) % 1.62/1.89 (define @t1389 () (=> @t1388 @t1218)) % 1.62/1.89 (define @t1390 () (forall @t9 (=> @t7 @t1389))) % 1.62/1.89 (define @t1391 () (=> @t1137 @t1390)) % 1.62/1.89 (define @t1392 () (forall @t1138 @t1391)) % 1.62/1.89 (define @t1393 () (=> @t1140 @t1392)) % 1.62/1.89 (define @t1394 () (forall @t1142 @t1393)) % 1.62/1.89 (define @t1395 () (= tptp.inComplementUnionImpNotIn1 @t1394)) % 1.62/1.89 (define @t1396 () (=> @t1388 @t1204)) % 1.62/1.89 (define @t1397 () (forall @t9 (=> @t7 @t1396))) % 1.62/1.89 (define @t1398 () (=> @t1137 @t1397)) % 1.62/1.89 (define @t1399 () (forall @t1138 @t1398)) % 1.62/1.89 (define @t1400 () (=> @t1140 @t1399)) % 1.62/1.89 (define @t1401 () (forall @t1142 @t1400)) % 1.62/1.89 (define @t1402 () (= tptp.inComplementUnionImpInComplement1 @t1401)) % 1.62/1.89 (define @t1403 () (=> @t1169 @t173)) % 1.62/1.89 (define @t1404 () (=> @t1403 @t173)) % 1.62/1.89 (define @t1405 () (=> @t696 @t173)) % 1.62/1.89 (define @t1406 () (=> @t1405 @t1404)) % 1.62/1.89 (define @t1407 () (=> @t1326 @t1406)) % 1.62/1.89 (define @t1408 () (forall @t176 (=> @t7 @t1407))) % 1.62/1.89 (define @t1409 () (=> @t1137 @t1408)) % 1.62/1.89 (define @t1410 () (forall @t1138 @t1409)) % 1.62/1.89 (define @t1411 () (=> @t1140 @t1410)) % 1.62/1.89 (define @t1412 () (forall @t1142 @t1411)) % 1.62/1.89 (define @t1413 () (= tptp.binunionTE @t1412)) % 1.62/1.89 (define @t1414 () (=> @t1226 @t1327)) % 1.62/1.89 (define @t1415 () (=> @t1218 @t1414)) % 1.62/1.89 (define @t1416 () (forall @t9 (=> @t7 @t1415))) % 1.62/1.89 (define @t1417 () (=> @t1137 @t1416)) % 1.62/1.89 (define @t1418 () (forall @t1138 @t1417)) % 1.62/1.89 (define @t1419 () (=> @t1140 @t1418)) % 1.62/1.89 (define @t1420 () (forall @t1142 @t1419)) % 1.62/1.89 (define @t1421 () (= tptp.binunionTEcontra @t1420)) % 1.62/1.89 (define @t1422 () (_ tptp.powerset @t1163)) % 1.62/1.89 (define @t1423 () (_ (_ tptp.in @t1387) @t1422)) % 1.62/1.89 (define @t1424 () (forall @t1138 (=> @t1137 @t1423))) % 1.62/1.89 (define @t1425 () (=> @t1140 @t1424)) % 1.62/1.89 (define @t1426 () (forall @t1142 @t1425)) % 1.62/1.89 (define @t1427 () (= tptp.complementUnionInPowersetComplement @t1426)) % 1.62/1.89 (define @t1428 () (_ @t5 @t1235)) % 1.62/1.89 (define @t1429 () (=> @t1388 @t1428)) % 1.62/1.89 (define @t1430 () (forall @t9 (=> @t7 @t1429))) % 1.62/1.89 (define @t1431 () (=> @t1137 @t1430)) % 1.62/1.89 (define @t1432 () (forall @t1138 @t1431)) % 1.62/1.89 (define @t1433 () (=> @t1140 @t1432)) % 1.62/1.89 (define @t1434 () (forall @t1142 @t1433)) % 1.62/1.89 (define @t1435 () (= tptp.demorgan2a2 @t1434)) % 1.62/1.89 (define @t1436 () (_ (_ tptp.binunion @t1163) @t1235)) % 1.62/1.89 (define @t1437 () (_ @t5 @t1436)) % 1.62/1.89 (define @t1438 () (=> @t1292 @t1437)) % 1.62/1.89 (define @t1439 () (forall @t9 (=> @t7 @t1438))) % 1.62/1.89 (define @t1440 () (=> @t1137 @t1439)) % 1.62/1.89 (define @t1441 () (forall @t1138 @t1440)) % 1.62/1.89 (define @t1442 () (=> @t1140 @t1441)) % 1.62/1.89 (define @t1443 () (forall @t1142 @t1442)) % 1.62/1.89 (define @t1444 () (= tptp.demorgan1a @t1443)) % 1.62/1.89 (define @t1445 () (=> @t1437 @t1292)) % 1.62/1.89 (define @t1446 () (forall @t9 (=> @t7 @t1445))) % 1.62/1.89 (define @t1447 () (=> @t1137 @t1446)) % 1.62/1.89 (define @t1448 () (forall @t1138 @t1447)) % 1.62/1.89 (define @t1449 () (=> @t1140 @t1448)) % 1.62/1.89 (define @t1450 () (forall @t1142 @t1449)) % 1.62/1.89 (define @t1451 () (= tptp.demorgan1b @t1450)) % 1.62/1.89 (define @t1452 () (= @t1291 @t1436)) % 1.62/1.89 (define @t1453 () (forall @t1138 (=> @t1137 @t1452))) % 1.62/1.89 (define @t1454 () (=> @t1140 @t1453)) % 1.62/1.89 (define @t1455 () (forall @t1142 @t1454)) % 1.62/1.89 (define @t1456 () (= tptp.demorgan1 @t1455)) % 1.62/1.89 (define @t1457 () (_ (_ tptp.binintersect @t1163) @t1235)) % 1.62/1.89 (define @t1458 () (_ @t5 @t1457)) % 1.62/1.89 (define @t1459 () (=> @t1388 @t1458)) % 1.62/1.89 (define @t1460 () (forall @t9 (=> @t7 @t1459))) % 1.62/1.89 (define @t1461 () (=> @t1137 @t1460)) % 1.62/1.89 (define @t1462 () (forall @t1138 @t1461)) % 1.62/1.89 (define @t1463 () (=> @t1140 @t1462)) % 1.62/1.89 (define @t1464 () (forall @t1142 @t1463)) % 1.62/1.89 (define @t1465 () (= tptp.demorgan2a @t1464)) % 1.62/1.89 (define @t1466 () (=> @t1428 @t1388)) % 1.62/1.89 (define @t1467 () (=> @t1204 @t1466)) % 1.62/1.89 (define @t1468 () (forall @t9 (=> @t7 @t1467))) % 1.62/1.89 (define @t1469 () (=> @t1137 @t1468)) % 1.62/1.89 (define @t1470 () (forall @t1138 @t1469)) % 1.62/1.89 (define @t1471 () (=> @t1140 @t1470)) % 1.62/1.89 (define @t1472 () (forall @t1142 @t1471)) % 1.62/1.89 (define @t1473 () (= tptp.demorgan2b2 @t1472)) % 1.62/1.89 (define @t1474 () (=> @t1458 @t1388)) % 1.62/1.89 (define @t1475 () (forall @t9 (=> @t7 @t1474))) % 1.62/1.89 (define @t1476 () (=> @t1137 @t1475)) % 1.62/1.89 (define @t1477 () (forall @t1138 @t1476)) % 1.62/1.89 (define @t1478 () (=> @t1140 @t1477)) % 1.62/1.89 (define @t1479 () (forall @t1142 @t1478)) % 1.62/1.89 (define @t1480 () (= tptp.demorgan2b @t1479)) % 1.62/1.89 (define @t1481 () (= @t1387 @t1457)) % 1.62/1.89 (define @t1482 () (forall @t1138 (=> @t1137 @t1481))) % 1.62/1.89 (define @t1483 () (=> @t1140 @t1482)) % 1.62/1.89 (define @t1484 () (forall @t1142 @t1483)) % 1.62/1.89 (define @t1485 () (= tptp.demorgan2 @t1484)) % 1.62/1.89 (define @t1486 () (forall @t9 (=> @t1216 @t7))) % 1.62/1.89 (define @t1487 () (=> @t1137 @t1486)) % 1.62/1.89 (define @t1488 () (forall @t1138 @t1487)) % 1.62/1.89 (define @t1489 () (=> @t1140 @t1488)) % 1.62/1.89 (define @t1490 () (forall @t1142 @t1489)) % 1.62/1.89 (define @t1491 () (= tptp.woz13rule0 @t1490)) % 1.62/1.89 (define @t1492 () (_ tptp.subset @t1133)) % 1.62/1.89 (define @t1493 () (_ @t1492 @t1342)) % 1.62/1.89 (define @t1494 () (_ @t1181 @t1342)) % 1.62/1.89 (define @t1495 () (=> @t1494 @t1493)) % 1.62/1.89 (define @t1496 () (forall @t1350 (=> @t1348 @t1495))) % 1.62/1.89 (define @t1497 () (=> @t1137 @t1496)) % 1.62/1.89 (define @t1498 () (forall @t1138 @t1497)) % 1.62/1.89 (define @t1499 () (=> @t1140 @t1498)) % 1.62/1.89 (define @t1500 () (forall @t1142 @t1499)) % 1.62/1.89 (define @t1501 () (= tptp.woz13rule1 @t1500)) % 1.62/1.89 (define @t1502 () (_ @t1319 @t1342)) % 1.62/1.89 (define @t1503 () (=> @t1502 @t1493)) % 1.62/1.89 (define @t1504 () (forall @t1350 (=> @t1348 @t1503))) % 1.62/1.89 (define @t1505 () (=> @t1137 @t1504)) % 1.62/1.89 (define @t1506 () (forall @t1138 @t1505)) % 1.62/1.89 (define @t1507 () (=> @t1140 @t1506)) % 1.62/1.89 (define @t1508 () (forall @t1142 @t1507)) % 1.62/1.89 (define @t1509 () (= tptp.woz13rule2 @t1508)) % 1.62/1.89 (define @t1510 () (_ (_ tptp.binintersect @t1132) @t1342)) % 1.62/1.89 (define @t1511 () (_ @t1181 @t1510)) % 1.62/1.89 (define @t1512 () (=> @t1494 @t1511)) % 1.62/1.89 (define @t1513 () (=> @t1182 @t1512)) % 1.62/1.89 (define @t1514 () (forall @t1350 (=> @t1348 @t1513))) % 1.62/1.89 (define @t1515 () (=> @t1137 @t1514)) % 1.62/1.89 (define @t1516 () (forall @t1138 @t1515)) % 1.62/1.89 (define @t1517 () (=> @t1140 @t1516)) % 1.62/1.89 (define @t1518 () (forall @t1142 @t1517)) % 1.62/1.89 (define @t1519 () (= tptp.woz13rule3 @t1518)) % 1.62/1.89 (define @t1520 () (@var "W" $$unsorted)) % 1.62/1.89 (define @t1521 () (_ (_ tptp.binintersect @t1342) @t1520)) % 1.62/1.89 (define @t1522 () (_ @t1492 @t1521)) % 1.62/1.89 (define @t1523 () (_ @t1319 @t1520)) % 1.62/1.89 (define @t1524 () (=> @t1523 @t1522)) % 1.62/1.89 (define @t1525 () (=> @t1494 @t1524)) % 1.62/1.89 (define @t1526 () (_ tptp.in @t1520)) % 1.62/1.89 (define @t1527 () (_ @t1526 @t33)) % 1.62/1.89 (define @t1528 () (@list @t1520)) % 1.62/1.89 (define @t1529 () (forall @t1528 (=> @t1527 @t1525))) % 1.62/1.89 (define @t1530 () (=> @t1348 @t1529)) % 1.62/1.89 (define @t1531 () (forall @t1350 @t1530)) % 1.62/1.89 (define @t1532 () (=> @t1137 @t1531)) % 1.62/1.89 (define @t1533 () (forall @t1138 @t1532)) % 1.62/1.89 (define @t1534 () (=> @t1140 @t1533)) % 1.62/1.89 (define @t1535 () (forall @t1142 @t1534)) % 1.62/1.89 (define @t1536 () (= tptp.woz13rule4 @t1535)) % 1.62/1.89 (define @t1537 () (_ @t567 @t1520)) % 1.62/1.89 (define @t1538 () (_ @t567 @t1342)) % 1.62/1.89 (define @t1539 () (_ (_ tptp.binintersect @t1538) @t1537)) % 1.62/1.89 (define @t1540 () (_ (_ tptp.binunion @t1457) @t1539)) % 1.62/1.89 (define @t1541 () (_ (_ tptp.binunion @t1342) @t1520)) % 1.62/1.89 (define @t1542 () (_ (_ tptp.binintersect @t1146) @t1541)) % 1.62/1.89 (define @t1543 () (_ @t567 @t1542)) % 1.62/1.89 (define @t1544 () (= @t1543 @t1540)) % 1.62/1.89 (define @t1545 () (forall @t1528 (=> @t1527 @t1544))) % 1.62/1.89 (define @t1546 () (=> @t1348 @t1545)) % 1.62/1.89 (define @t1547 () (forall @t1350 @t1546)) % 1.62/1.89 (define @t1548 () (=> @t1137 @t1547)) % 1.62/1.89 (define @t1549 () (forall @t1138 @t1548)) % 1.62/1.89 (define @t1550 () (=> @t1140 @t1549)) % 1.62/1.89 (define @t1551 () (forall @t1142 @t1550)) % 1.62/1.89 (define @t1552 () (= tptp.woz1_2 @t1551)) % 1.62/1.89 (define @t1553 () (forall @t70 (=> @t21 @t943))) % 1.62/1.89 (define @t1554 () (=> @t7 @t1553)) % 1.62/1.89 (define @t1555 () (forall @t9 @t1554)) % 1.62/1.89 (define @t1556 () (=> @t1555 @t940)) % 1.62/1.89 (define @t1557 () (forall @t150 @t1556)) % 1.62/1.89 (define @t1558 () (_ tptp.breln1 @t2)) % 1.62/1.89 (define @t1559 () (_ @t1558 @t938)) % 1.62/1.89 (define @t1560 () (=> @t1559 @t1557)) % 1.62/1.89 (define @t1561 () (@list @t2 @t938)) % 1.62/1.89 (define @t1562 () (forall @t1561 @t1560)) % 1.62/1.89 (define @t1563 () (= tptp.breln1all2 @t1562)) % 1.62/1.89 (define @t1564 () (_ tptp.breln1Set @t2)) % 1.62/1.89 (define @t1565 () (_ tptp.in @t938)) % 1.62/1.89 (define @t1566 () (_ @t1565 @t1564)) % 1.62/1.89 (define @t1567 () (forall @t1561 (=> @t1566 @t1559))) % 1.62/1.89 (define @t1568 () (= tptp.breln1SetBreln1 @t1567)) % 1.62/1.89 (define @t1569 () (_ tptp.kpair @t19)) % 1.62/1.89 (define @t1570 () (_ @t1569 @t289)) % 1.62/1.89 (define @t1571 () (_ (_ tptp.in @t1570) @t938)) % 1.62/1.89 (define @t1572 () (_ @t75 @t289)) % 1.62/1.89 (define @t1573 () (=> @t1572 @t1571)) % 1.62/1.89 (define @t1574 () (_ @t294 @t1)) % 1.62/1.89 (define @t1575 () (forall @t1068 (=> @t1574 @t1573))) % 1.62/1.89 (define @t1576 () (and @t76 @t1575)) % 1.62/1.89 (define @t1577 () (lambda @t70 @t1576)) % 1.62/1.89 (define @t1578 () (=> @t7 (_ tptp.singleton (_ @t410 @t1577)))) % 1.62/1.89 (define @t1579 () (forall @t9 @t1578)) % 1.62/1.89 (define @t1580 () (_ (_ tptp.reflwellordering @t1) @t938)) % 1.62/1.89 (define @t1581 () (=> @t1580 @t1579)) % 1.62/1.89 (define @t1582 () (_ tptp.breln1Set @t1)) % 1.62/1.89 (define @t1583 () (_ @t1565 @t1582)) % 1.62/1.89 (define @t1584 () (=> @t1583 @t1581)) % 1.62/1.89 (define @t1585 () (@list @t938)) % 1.62/1.89 (define @t1586 () (forall @t1585 @t1584)) % 1.62/1.89 (define @t1587 () (and @t354 @t76)) % 1.62/1.89 (define @t1588 () (exists @t70 @t1587)) % 1.62/1.89 (define @t1589 () (=> @t7 @t1588)) % 1.62/1.89 (define @t1590 () (forall @t9 @t1589)) % 1.62/1.89 (define @t1591 () (=> @t1590 @t1586)) % 1.62/1.89 (define @t1592 () (forall @t863 @t1591)) % 1.62/1.89 (define @t1593 () (= tptp.choice2fnsingleton @t1592)) % 1.62/1.89 (define @t1594 () (_ @t850 @t2)) % 1.62/1.89 (define @t1595 () (_ @t1594 @t860)) % 1.62/1.89 (define @t1596 () (_ @t1558 @t1595)) % 1.62/1.89 (define @t1597 () (@list @t2 @t67)) % 1.62/1.89 (define @t1598 () (forall @t1597 @t1596)) % 1.62/1.89 (define @t1599 () (= tptp.setOfPairsIsBReln1 @t1598)) % 1.62/1.89 (define @t1600 () (forall @t70 (=> @t21 @t997))) % 1.62/1.89 (define @t1601 () (=> @t7 @t1600)) % 1.62/1.89 (define @t1602 () (forall @t9 @t1601)) % 1.62/1.89 (define @t1603 () (=> @t1602 @t995)) % 1.62/1.89 (define @t1604 () (_ @t1558 @t994)) % 1.62/1.89 (define @t1605 () (=> @t1604 @t1603)) % 1.62/1.89 (define @t1606 () (forall @t1004 @t1605)) % 1.62/1.89 (define @t1607 () (=> @t1559 @t1606)) % 1.62/1.89 (define @t1608 () (forall @t1561 @t1607)) % 1.62/1.89 (define @t1609 () (= tptp.subbreln1 @t1608)) % 1.62/1.89 (define @t1610 () (forall @t70 (=> @t21 @t1010))) % 1.62/1.89 (define @t1611 () (=> @t7 @t1610)) % 1.62/1.89 (define @t1612 () (forall @t9 @t1611)) % 1.62/1.89 (define @t1613 () (=> @t1612 @t1009)) % 1.62/1.89 (define @t1614 () (=> @t1602 @t1613)) % 1.62/1.89 (define @t1615 () (=> @t1604 @t1614)) % 1.62/1.89 (define @t1616 () (forall @t1004 @t1615)) % 1.62/1.89 (define @t1617 () (=> @t1559 @t1616)) % 1.62/1.89 (define @t1618 () (forall @t1561 @t1617)) % 1.62/1.89 (define @t1619 () (= tptp.eqbreln1 @t1618)) % 1.62/1.89 (define @t1620 () (_ tptp.breln1invset @t2)) % 1.62/1.89 (define @t1621 () (_ @t1620 @t938)) % 1.62/1.89 (define @t1622 () (_ @t1558 @t1621)) % 1.62/1.89 (define @t1623 () (forall @t1561 (=> @t1559 @t1622))) % 1.62/1.89 (define @t1624 () (= tptp.breln1invprop @t1623)) % 1.62/1.89 (define @t1625 () (_ @t1569 @t4)) % 1.62/1.89 (define @t1626 () (_ (_ tptp.in @t1625) @t1621)) % 1.62/1.89 (define @t1627 () (=> @t942 @t1626)) % 1.62/1.89 (define @t1628 () (forall @t70 (=> @t21 @t1627))) % 1.62/1.89 (define @t1629 () (=> @t7 @t1628)) % 1.62/1.89 (define @t1630 () (forall @t9 @t1629)) % 1.62/1.89 (define @t1631 () (=> @t1559 @t1630)) % 1.62/1.89 (define @t1632 () (forall @t1561 @t1631)) % 1.62/1.89 (define @t1633 () (= tptp.breln1invI @t1632)) % 1.62/1.89 (define @t1634 () (=> @t1626 @t942)) % 1.62/1.89 (define @t1635 () (forall @t70 (=> @t21 @t1634))) % 1.62/1.89 (define @t1636 () (=> @t7 @t1635)) % 1.62/1.89 (define @t1637 () (forall @t9 @t1636)) % 1.62/1.89 (define @t1638 () (=> @t1559 @t1637)) % 1.62/1.89 (define @t1639 () (forall @t1561 @t1638)) % 1.62/1.89 (define @t1640 () (= tptp.breln1invE @t1639)) % 1.62/1.89 (define @t1641 () (_ tptp.breln1compset @t2)) % 1.62/1.89 (define @t1642 () (_ @t1641 @t938)) % 1.62/1.89 (define @t1643 () (_ @t1642 @t994)) % 1.62/1.89 (define @t1644 () (_ @t1558 @t1643)) % 1.62/1.89 (define @t1645 () (forall @t1004 (=> @t1604 @t1644))) % 1.62/1.89 (define @t1646 () (=> @t1559 @t1645)) % 1.62/1.89 (define @t1647 () (forall @t1561 @t1646)) % 1.62/1.89 (define @t1648 () (= tptp.breln1compprop @t1647)) % 1.62/1.89 (define @t1649 () (_ @t669 @t1643)) % 1.62/1.89 (define @t1650 () (_ @t781 @t19)) % 1.62/1.89 (define @t1651 () (_ (_ tptp.in @t1650) @t994)) % 1.62/1.89 (define @t1652 () (=> @t1651 @t1649)) % 1.62/1.89 (define @t1653 () (_ @t632 @t289)) % 1.62/1.89 (define @t1654 () (_ (_ tptp.in @t1653) @t938)) % 1.62/1.89 (define @t1655 () (=> @t1654 @t1652)) % 1.62/1.89 (define @t1656 () (_ @t294 @t2)) % 1.62/1.89 (define @t1657 () (forall @t1068 (=> @t1656 @t1655))) % 1.62/1.89 (define @t1658 () (=> @t21 @t1657)) % 1.62/1.89 (define @t1659 () (forall @t70 @t1658)) % 1.62/1.89 (define @t1660 () (=> @t7 @t1659)) % 1.62/1.89 (define @t1661 () (forall @t9 @t1660)) % 1.62/1.89 (define @t1662 () (=> @t1604 @t1661)) % 1.62/1.89 (define @t1663 () (forall @t1004 @t1662)) % 1.62/1.89 (define @t1664 () (=> @t1559 @t1663)) % 1.62/1.89 (define @t1665 () (forall @t1561 @t1664)) % 1.62/1.89 (define @t1666 () (= tptp.breln1compI @t1665)) % 1.62/1.89 (define @t1667 () (and @t1656 @t1654 @t1651)) % 1.62/1.89 (define @t1668 () (exists @t1068 @t1667)) % 1.62/1.89 (define @t1669 () (=> @t1649 @t1668)) % 1.62/1.89 (define @t1670 () (=> @t21 @t1669)) % 1.62/1.89 (define @t1671 () (forall @t70 @t1670)) % 1.62/1.89 (define @t1672 () (=> @t7 @t1671)) % 1.62/1.89 (define @t1673 () (forall @t9 @t1672)) % 1.62/1.89 (define @t1674 () (=> @t1604 @t1673)) % 1.62/1.89 (define @t1675 () (forall @t1004 @t1674)) % 1.62/1.89 (define @t1676 () (=> @t1559 @t1675)) % 1.62/1.89 (define @t1677 () (forall @t1561 @t1676)) % 1.62/1.89 (define @t1678 () (= tptp.breln1compE @t1677)) % 1.62/1.89 (define @t1679 () (=> @t1651 @t173)) % 1.62/1.89 (define @t1680 () (=> @t1654 @t1679)) % 1.62/1.89 (define @t1681 () (forall @t1068 (=> @t1656 @t1680))) % 1.62/1.89 (define @t1682 () (=> @t1681 @t173)) % 1.62/1.89 (define @t1683 () (forall @t179 @t1682)) % 1.62/1.89 (define @t1684 () (=> @t1649 @t1683)) % 1.62/1.89 (define @t1685 () (=> @t21 @t1684)) % 1.62/1.89 (define @t1686 () (forall @t70 @t1685)) % 1.62/1.89 (define @t1687 () (=> @t7 @t1686)) % 1.62/1.89 (define @t1688 () (forall @t9 @t1687)) % 1.62/1.89 (define @t1689 () (=> @t1604 @t1688)) % 1.62/1.89 (define @t1690 () (forall @t1004 @t1689)) % 1.62/1.89 (define @t1691 () (=> @t1559 @t1690)) % 1.62/1.89 (define @t1692 () (forall @t1561 @t1691)) % 1.62/1.89 (define @t1693 () (= tptp.breln1compEex @t1692)) % 1.62/1.89 (define @t1694 () (_ (_ tptp.binunion @t938) @t994)) % 1.62/1.89 (define @t1695 () (_ @t1558 @t1694)) % 1.62/1.89 (define @t1696 () (forall @t1004 (=> @t1604 @t1695))) % 1.62/1.89 (define @t1697 () (=> @t1559 @t1696)) % 1.62/1.89 (define @t1698 () (forall @t1561 @t1697)) % 1.62/1.89 (define @t1699 () (= tptp.breln1unionprop @t1698)) % 1.62/1.89 (define @t1700 () (_ @t669 @t1694)) % 1.62/1.89 (define @t1701 () (=> @t942 @t1700)) % 1.62/1.89 (define @t1702 () (forall @t70 (=> @t21 @t1701))) % 1.62/1.89 (define @t1703 () (=> @t7 @t1702)) % 1.62/1.89 (define @t1704 () (forall @t9 @t1703)) % 1.62/1.89 (define @t1705 () (=> @t1604 @t1704)) % 1.62/1.89 (define @t1706 () (forall @t1004 @t1705)) % 1.62/1.89 (define @t1707 () (=> @t1559 @t1706)) % 1.62/1.89 (define @t1708 () (forall @t1561 @t1707)) % 1.62/1.89 (define @t1709 () (= tptp.breln1unionIL @t1708)) % 1.62/1.89 (define @t1710 () (=> @t996 @t1700)) % 1.62/1.89 (define @t1711 () (forall @t70 (=> @t21 @t1710))) % 1.62/1.89 (define @t1712 () (=> @t7 @t1711)) % 1.62/1.89 (define @t1713 () (forall @t9 @t1712)) % 1.62/1.89 (define @t1714 () (=> @t1604 @t1713)) % 1.62/1.89 (define @t1715 () (forall @t1004 @t1714)) % 1.62/1.89 (define @t1716 () (=> @t1559 @t1715)) % 1.62/1.89 (define @t1717 () (forall @t1561 @t1716)) % 1.62/1.89 (define @t1718 () (= tptp.breln1unionIR @t1717)) % 1.62/1.89 (define @t1719 () (or @t942 @t996)) % 1.62/1.89 (define @t1720 () (=> @t1719 @t1700)) % 1.62/1.89 (define @t1721 () (forall @t70 (=> @t21 @t1720))) % 1.62/1.89 (define @t1722 () (=> @t7 @t1721)) % 1.62/1.89 (define @t1723 () (forall @t9 @t1722)) % 1.62/1.89 (define @t1724 () (=> @t1604 @t1723)) % 1.62/1.89 (define @t1725 () (forall @t1004 @t1724)) % 1.62/1.89 (define @t1726 () (=> @t1559 @t1725)) % 1.62/1.89 (define @t1727 () (forall @t1561 @t1726)) % 1.62/1.89 (define @t1728 () (= tptp.breln1unionI @t1727)) % 1.62/1.89 (define @t1729 () (=> @t1700 @t1719)) % 1.62/1.89 (define @t1730 () (forall @t70 (=> @t21 @t1729))) % 1.62/1.89 (define @t1731 () (=> @t7 @t1730)) % 1.62/1.89 (define @t1732 () (forall @t9 @t1731)) % 1.62/1.89 (define @t1733 () (=> @t1604 @t1732)) % 1.62/1.89 (define @t1734 () (forall @t1004 @t1733)) % 1.62/1.89 (define @t1735 () (=> @t1559 @t1734)) % 1.62/1.89 (define @t1736 () (forall @t1561 @t1735)) % 1.62/1.89 (define @t1737 () (= tptp.breln1unionE @t1736)) % 1.62/1.89 (define @t1738 () (=> @t996 @t173)) % 1.62/1.89 (define @t1739 () (=> @t1738 @t173)) % 1.62/1.89 (define @t1740 () (=> @t942 @t173)) % 1.62/1.90 (define @t1741 () (forall @t179 (=> @t1740 @t1739))) % 1.62/1.90 (define @t1742 () (=> @t1700 @t1741)) % 1.62/1.90 (define @t1743 () (=> @t21 @t1742)) % 1.62/1.90 (define @t1744 () (forall @t70 @t1743)) % 1.62/1.90 (define @t1745 () (=> @t7 @t1744)) % 1.62/1.90 (define @t1746 () (forall @t9 @t1745)) % 1.62/1.90 (define @t1747 () (=> @t1604 @t1746)) % 1.62/1.90 (define @t1748 () (forall @t1004 @t1747)) % 1.62/1.90 (define @t1749 () (=> @t1559 @t1748)) % 1.62/1.90 (define @t1750 () (forall @t1561 @t1749)) % 1.62/1.90 (define @t1751 () (= tptp.breln1unionEcases @t1750)) % 1.62/1.90 (define @t1752 () (_ (_ tptp.binunion @t994) @t938)) % 1.62/1.90 (define @t1753 () (= @t1694 @t1752)) % 1.62/1.90 (define @t1754 () (forall @t1004 (=> @t1604 @t1753))) % 1.62/1.90 (define @t1755 () (=> @t1559 @t1754)) % 1.62/1.90 (define @t1756 () (forall @t1561 @t1755)) % 1.62/1.90 (define @t1757 () (= tptp.breln1unionCommutes @t1756)) % 1.62/1.90 (define @t1758 () (_ @t1620 @t1621)) % 1.62/1.90 (define @t1759 () (= @t938 @t1758)) % 1.62/1.90 (define @t1760 () (forall @t1561 (=> @t1559 @t1759))) % 1.62/1.90 (define @t1761 () (= tptp.woz2Ex @t1760)) % 1.62/1.90 (define @t1762 () (_ @t1620 @t994)) % 1.62/1.90 (define @t1763 () (_ (_ @t1641 @t1762) @t1621)) % 1.62/1.90 (define @t1764 () (_ @t1620 @t1643)) % 1.62/1.90 (define @t1765 () (= @t1764 @t1763)) % 1.62/1.90 (define @t1766 () (forall @t1004 (=> @t1604 @t1765))) % 1.62/1.90 (define @t1767 () (=> @t1559 @t1766)) % 1.62/1.90 (define @t1768 () (forall @t1561 @t1767)) % 1.62/1.90 (define @t1769 () (= tptp.woz2W @t1768)) % 1.62/1.90 (define @t1770 () (@var "T" $$unsorted)) % 1.62/1.90 (define @t1771 () (_ (_ @t1641 @t994) @t1770)) % 1.62/1.90 (define @t1772 () (_ @t1642 @t1770)) % 1.62/1.90 (define @t1773 () (_ (_ tptp.binunion @t1772) @t1771)) % 1.62/1.90 (define @t1774 () (_ (_ @t1641 @t1694) @t1770)) % 1.62/1.90 (define @t1775 () (= @t1774 @t1773)) % 1.62/1.90 (define @t1776 () (_ @t1558 @t1770)) % 1.62/1.90 (define @t1777 () (@list @t1770)) % 1.62/1.90 (define @t1778 () (forall @t1777 (=> @t1776 @t1775))) % 1.62/1.90 (define @t1779 () (=> @t1604 @t1778)) % 1.62/1.90 (define @t1780 () (forall @t1004 @t1779)) % 1.62/1.90 (define @t1781 () (=> @t1559 @t1780)) % 1.62/1.90 (define @t1782 () (forall @t1561 @t1781)) % 1.62/1.90 (define @t1783 () (= tptp.woz2A @t1782)) % 1.62/1.90 (define @t1784 () (_ @t1620 @t1770)) % 1.62/1.90 (define @t1785 () (_ @t1641 @t1784)) % 1.62/1.90 (define @t1786 () (_ @t1785 @t1621)) % 1.62/1.90 (define @t1787 () (_ @t1620 @t1786)) % 1.62/1.90 (define @t1788 () (_ @t1785 @t1762)) % 1.62/1.90 (define @t1789 () (_ @t1620 @t1788)) % 1.62/1.90 (define @t1790 () (_ (_ tptp.binunion @t1789) @t1787)) % 1.62/1.90 (define @t1791 () (= @t1774 @t1790)) % 1.62/1.90 (define @t1792 () (forall @t1777 (=> @t1776 @t1791))) % 1.62/1.90 (define @t1793 () (=> @t1604 @t1792)) % 1.62/1.90 (define @t1794 () (forall @t1004 @t1793)) % 1.62/1.90 (define @t1795 () (=> @t1559 @t1794)) % 1.62/1.90 (define @t1796 () (forall @t1561 @t1795)) % 1.62/1.90 (define @t1797 () (= tptp.woz2B @t1796)) % 1.62/1.90 (define @t1798 () (= @t4 @t1043)) % 1.62/1.90 (define @t1799 () (and @t21 @t1798)) % 1.62/1.90 (define @t1800 () (exists @t70 @t1799)) % 1.62/1.90 (define @t1801 () (= @t6 @t1800)) % 1.62/1.90 (define @t1802 () (forall @t9 @t1801)) % 1.62/1.90 (define @t1803 () (exists @t41 @t1802)) % 1.62/1.90 (define @t1804 () (@list @t2 @t918)) % 1.62/1.90 (define @t1805 () (forall @t1804 @t1803)) % 1.62/1.90 (define @t1806 () (= tptp.image1Ex @t1805)) % 1.62/1.90 (define @t1807 () (lambda @t41 @t1802)) % 1.62/1.90 (define @t1808 () (forall @t1804 (_ tptp.exu @t1807))) % 1.62/1.90 (define @t1809 () (= tptp.image1Ex1 @t1808)) % 1.62/1.90 (define @t1810 () (_ tptp.image1 @t2)) % 1.62/1.90 (define @t1811 () (_ @t1810 @t1044)) % 1.62/1.90 (define @t1812 () (_ @t5 @t1811)) % 1.62/1.90 (define @t1813 () (@list @t2 @t918 @t4)) % 1.62/1.90 (define @t1814 () (forall @t1813 (= @t1812 @t1800))) % 1.62/1.90 (define @t1815 () (= tptp.image1Equiv @t1814)) % 1.62/1.90 (define @t1816 () (=> @t1812 @t1800)) % 1.62/1.90 (define @t1817 () (forall @t1813 @t1816)) % 1.62/1.90 (define @t1818 () (= tptp.image1E @t1817)) % 1.62/1.90 (define @t1819 () (=> @t1800 @t1812)) % 1.62/1.90 (define @t1820 () (forall @t1813 @t1819)) % 1.62/1.90 (define @t1821 () (= tptp.image1I @t1820)) % 1.62/1.90 (define @t1822 () (_ (_ tptp.injFuncSet @t2) @t1)) % 1.62/1.90 (define @t1823 () (_ @t909 @t1822)) % 1.62/1.90 (define @t1824 () (_ (_ (_ tptp.injective @t2) @t1) @t882)) % 1.62/1.90 (define @t1825 () (=> @t1824 @t1823)) % 1.62/1.90 (define @t1826 () (forall @t891 (=> @t910 @t1825))) % 1.62/1.90 (define @t1827 () (= tptp.injFuncInInjFuncSet @t1826)) % 1.62/1.90 (define @t1828 () (forall @t891 (=> @t1823 @t910))) % 1.62/1.90 (define @t1829 () (= tptp.injFuncSetFuncIn @t1828)) % 1.62/1.90 (define @t1830 () (_ (_ (_ tptp.injective @t4) @t19) @t882)) % 1.62/1.90 (define @t1831 () (_ (_ tptp.injFuncSet @t4) @t19)) % 1.62/1.90 (define @t1832 () (_ @t909 @t1831)) % 1.62/1.90 (define @t1833 () (@list @t4 @t19 @t882)) % 1.62/1.90 (define @t1834 () (forall @t1833 (=> @t1832 @t1830))) % 1.62/1.90 (define @t1835 () (= tptp.injFuncSetFuncInj @t1834)) % 1.62/1.90 (define @t1836 () (=> (_ @t909 (_ (_ tptp.surjFuncSet @t2) @t1)) @t910)) % 1.62/1.90 (define @t1837 () (forall @t891 @t1836)) % 1.62/1.90 (define @t1838 () (=> tptp.injFuncSetFuncInj @t1837)) % 1.62/1.90 (define @t1839 () (=> tptp.injFuncSetFuncIn @t1838)) % 1.62/1.90 (define @t1840 () (=> tptp.injFuncInInjFuncSet @t1839)) % 1.62/1.90 (define @t1841 () (=> tptp.image1I @t1840)) % 1.62/1.90 (define @t1842 () (=> tptp.image1E @t1841)) % 1.62/1.90 (define @t1843 () (=> tptp.image1Equiv @t1842)) % 1.62/1.90 (define @t1844 () (=> tptp.image1Ex1 @t1843)) % 1.62/1.90 (define @t1845 () (=> tptp.image1Ex @t1844)) % 1.62/1.90 (define @t1846 () (=> tptp.woz2B @t1845)) % 1.62/1.90 (define @t1847 () (=> tptp.woz2A @t1846)) % 1.62/1.90 (define @t1848 () (=> tptp.woz2W @t1847)) % 1.62/1.90 (define @t1849 () (=> tptp.woz2Ex @t1848)) % 1.62/1.90 (define @t1850 () (=> tptp.breln1unionCommutes @t1849)) % 1.62/1.90 (define @t1851 () (=> tptp.breln1unionEcases @t1850)) % 1.62/1.90 (define @t1852 () (=> tptp.breln1unionE @t1851)) % 1.62/1.90 (define @t1853 () (=> tptp.breln1unionI @t1852)) % 1.62/1.90 (define @t1854 () (=> tptp.breln1unionIR @t1853)) % 1.62/1.90 (define @t1855 () (=> tptp.breln1unionIL @t1854)) % 1.62/1.90 (define @t1856 () (=> tptp.breln1unionprop @t1855)) % 1.62/1.90 (define @t1857 () (=> tptp.breln1compEex @t1856)) % 1.62/1.90 (define @t1858 () (=> tptp.breln1compE @t1857)) % 1.62/1.90 (define @t1859 () (=> tptp.breln1compI @t1858)) % 1.62/1.90 (define @t1860 () (=> tptp.breln1compprop @t1859)) % 1.62/1.90 (define @t1861 () (=> tptp.breln1invE @t1860)) % 1.62/1.90 (define @t1862 () (=> tptp.breln1invI @t1861)) % 1.62/1.90 (define @t1863 () (=> tptp.breln1invprop @t1862)) % 1.62/1.90 (define @t1864 () (=> tptp.eqbreln1 @t1863)) % 1.62/1.90 (define @t1865 () (=> tptp.subbreln1 @t1864)) % 1.62/1.90 (define @t1866 () (=> tptp.breln1all1 @t1865)) % 1.62/1.90 (define @t1867 () (=> tptp.setOfPairsIsBReln1 @t1866)) % 1.62/1.90 (define @t1868 () (=> tptp.choice2fnsingleton @t1867)) % 1.62/1.90 (define @t1869 () (=> tptp.breln1SetBreln1 @t1868)) % 1.62/1.90 (define @t1870 () (=> tptp.breln1all2 @t1869)) % 1.62/1.90 (define @t1871 () (=> tptp.woz1_5 @t1870)) % 1.62/1.90 (define @t1872 () (=> tptp.woz1_4 @t1871)) % 1.62/1.90 (define @t1873 () (=> tptp.woz1_3 @t1872)) % 1.62/1.90 (define @t1874 () (=> tptp.woz1_2 @t1873)) % 1.62/1.90 (define @t1875 () (=> tptp.woz1_1 @t1874)) % 1.62/1.90 (define @t1876 () (=> tptp.woz13rule4 @t1875)) % 1.62/1.90 (define @t1877 () (=> tptp.woz13rule3 @t1876)) % 1.62/1.90 (define @t1878 () (=> tptp.woz13rule2 @t1877)) % 1.62/1.90 (define @t1879 () (=> tptp.woz13rule1 @t1878)) % 1.62/1.90 (define @t1880 () (=> tptp.woz13rule0 @t1879)) % 1.62/1.90 (define @t1881 () (=> tptp.demorgan2 @t1880)) % 1.62/1.90 (define @t1882 () (=> tptp.demorgan2b @t1881)) % 1.62/1.90 (define @t1883 () (=> tptp.demorgan2b2 @t1882)) % 1.62/1.90 (define @t1884 () (=> tptp.demorgan2a @t1883)) % 1.62/1.90 (define @t1885 () (=> tptp.demorgan1 @t1884)) % 1.62/1.90 (define @t1886 () (=> tptp.demorgan1b @t1885)) % 1.62/1.90 (define @t1887 () (=> tptp.demorgan1a @t1886)) % 1.62/1.90 (define @t1888 () (=> tptp.demorgan2a2 @t1887)) % 1.62/1.90 (define @t1889 () (=> tptp.complementUnionInPowersetComplement @t1888)) % 1.62/1.90 (define @t1890 () (=> tptp.demorgan2a1 @t1889)) % 1.62/1.90 (define @t1891 () (=> tptp.binunionTEcontra @t1890)) % 1.62/1.90 (define @t1892 () (=> tptp.binunionTE @t1891)) % 1.62/1.90 (define @t1893 () (=> tptp.inComplementUnionImpInComplement1 @t1892)) % 1.62/1.90 (define @t1894 () (=> tptp.inComplementUnionImpNotIn1 @t1893)) % 1.62/1.90 (define @t1895 () (=> tptp.intersectInPowersetIntersectUnions @t1894)) % 1.62/1.90 (define @t1896 () (=> tptp.inIntersectImpInIntersectUnions @t1895)) % 1.62/1.90 (define @t1897 () (=> tptp.inIntersectImpInUnion2 @t1896)) % 1.62/1.90 (define @t1898 () (=> tptp.inIntersectImpInUnion @t1897)) % 1.62/1.90 (define @t1899 () (=> tptp.binunionTIRcontra @t1898)) % 1.62/1.90 (define @t1900 () (=> tptp.binunionTILcontra @t1899)) % 1.62/1.90 (define @t1901 () (=> tptp.complementTcontraSubset @t1900)) % 1.62/1.90 (define @t1902 () (=> tptp.contraSubsetComplement @t1901)) % 1.62/1.90 (define @t1903 () (=> tptp.complementInPowersetComplementIntersect @t1902)) % 1.62/1.90 (define @t1904 () (=> tptp.complementSubsetComplementIntersect @t1903)) % 1.62/1.90 (define @t1905 () (=> tptp.complementImpComplementIntersect @t1904)) % 1.62/1.90 (define @t1906 () (=> tptp.complementTnotintersectT @t1905)) % 1.62/1.90 (define @t1907 () (=> tptp.doubleComplementEq @t1906)) % 1.62/1.90 (define @t1908 () (=> tptp.doubleComplementSub2 @t1907)) % 1.62/1.90 (define @t1909 () (=> tptp.doubleComplementSub1 @t1908)) % 1.62/1.90 (define @t1910 () (=> tptp.doubleComplementE1 @t1909)) % 1.62/1.90 (define @t1911 () (=> tptp.doubleComplementI1 @t1910)) % 1.62/1.90 (define @t1912 () (=> tptp.contrasubsetT3 @t1911)) % 1.62/1.90 (define @t1913 () (=> tptp.contrasubsetT2 @t1912)) % 1.62/1.90 (define @t1914 () (=> tptp.contrasubsetT1 @t1913)) % 1.62/1.90 (define @t1915 () (=> tptp.contrasubsetT @t1914)) % 1.62/1.90 (define @t1916 () (=> tptp.binintersectTERcontra @t1915)) % 1.62/1.90 (define @t1917 () (=> tptp.binintersectTELcontra @t1916)) % 1.62/1.90 (define @t1918 () (=> tptp.complementTE1 @t1917)) % 1.62/1.90 (define @t1919 () (=> tptp.complementTI1 @t1918)) % 1.62/1.90 (define @t1920 () (=> tptp.powersetTE1 @t1919)) % 1.62/1.90 (define @t1921 () (=> tptp.powersetTI1 @t1920)) % 1.62/1.90 (define @t1922 () (=> tptp.subsetTI @t1921)) % 1.62/1.90 (define @t1923 () (=> tptp.setextT @t1922)) % 1.62/1.90 (define @t1924 () (=> tptp.complementT_lem @t1923)) % 1.62/1.90 (define @t1925 () (=> tptp.setminusT_lem @t1924)) % 1.62/1.90 (define @t1926 () (=> tptp.powersetT_lem @t1925)) % 1.62/1.90 (define @t1927 () (=> tptp.binunionT_lem @t1926)) % 1.62/1.90 (define @t1928 () (=> tptp.binintersectT_lem @t1927)) % 1.62/1.90 (define @t1929 () (=> tptp.iftrueorfalse @t1928)) % 1.62/1.90 (define @t1930 () (=> tptp.iffalse @t1929)) % 1.62/1.90 (define @t1931 () (=> tptp.iftrue @t1930)) % 1.62/1.90 (define @t1932 () (=> tptp.theeq @t1931)) % 1.62/1.90 (define @t1933 () (=> tptp.ifp @t1932)) % 1.62/1.90 (define @t1934 () (=> tptp.ifSingleton @t1933)) % 1.62/1.90 (define @t1935 () (=> tptp.iftrueProp2 @t1934)) % 1.62/1.90 (define @t1936 () (=> tptp.iftrueProp1 @t1935)) % 1.62/1.90 (define @t1937 () (=> tptp.iffalseProp2 @t1936)) % 1.62/1.90 (define @t1938 () (=> tptp.iffalseProp1 @t1937)) % 1.62/1.90 (define @t1939 () (=> tptp.eta2 @t1938)) % 1.62/1.90 (define @t1940 () (=> tptp.beta2 @t1939)) % 1.62/1.90 (define @t1941 () (=> tptp.lam2lamEq @t1940)) % 1.62/1.90 (define @t1942 () (=> tptp.eta1 @t1941)) % 1.62/1.90 (define @t1943 () (=> tptp.beta1 @t1942)) % 1.62/1.90 (define @t1944 () (=> tptp.ap2apEq2 @t1943)) % 1.62/1.90 (define @t1945 () (=> tptp.ap2apEq1 @t1944)) % 1.62/1.90 (define @t1946 () (=> tptp.funcext2 @t1945)) % 1.62/1.90 (define @t1947 () (=> tptp.funcext @t1946)) % 1.62/1.90 (define @t1948 () (=> tptp.eqbreln @t1947)) % 1.62/1.90 (define @t1949 () (=> tptp.subbreln @t1948)) % 1.62/1.90 (define @t1950 () (=> tptp.funcGraphProp4 @t1949)) % 1.62/1.90 (define @t1951 () (=> tptp.funcextLem @t1950)) % 1.62/1.90 (define @t1952 () (=> tptp.funcGraphProp2 @t1951)) % 1.62/1.90 (define @t1953 () (=> tptp.funcGraphProp3 @t1952)) % 1.62/1.90 (define @t1954 () (=> tptp.funcGraphProp1 @t1953)) % 1.62/1.90 (define @t1955 () (=> tptp.ex1E2 @t1954)) % 1.62/1.90 (define @t1956 () (=> tptp.brelnall2 @t1955)) % 1.62/1.90 (define @t1957 () (=> tptp.brelnall1 @t1956)) % 1.62/1.90 (define @t1958 () (=> tptp.lam2p @t1957)) % 1.62/1.90 (define @t1959 () (=> tptp.lamp @t1958)) % 1.62/1.90 (define @t1960 () (=> tptp.lamProp @t1959)) % 1.62/1.90 (define @t1961 () (=> tptp.funcinfuncset @t1960)) % 1.62/1.90 (define @t1962 () (=> tptp.ap2p @t1961)) % 1.62/1.90 (define @t1963 () (=> tptp.infuncsetfunc @t1962)) % 1.62/1.90 (define @t1964 () (=> tptp.app @t1963)) % 1.62/1.90 (define @t1965 () (=> tptp.apProp @t1964)) % 1.62/1.90 (define @t1966 () (=> tptp.funcImageSingleton @t1965)) % 1.62/1.90 (define @t1967 () (=> tptp.dpsetconstrER @t1966)) % 1.62/1.90 (define @t1968 () (=> tptp.dpsetconstrEL2 @t1967)) % 1.62/1.90 (define @t1969 () (=> tptp.dpsetconstrEL1 @t1968)) % 1.62/1.90 (define @t1970 () (=> tptp.dpsetconstrERa @t1969)) % 1.62/1.90 (define @t1971 () (=> tptp.setOfPairsIsBReln @t1970)) % 1.62/1.90 (define @t1972 () (=> tptp.dpsetconstrSub @t1971)) % 1.62/1.90 (define @t1973 () (=> tptp.dpsetconstrI @t1972)) % 1.62/1.90 (define @t1974 () (=> tptp.cartprodpairsurjEq @t1973)) % 1.62/1.90 (define @t1975 () (=> tptp.cartprodsndpairEq @t1974)) % 1.62/1.90 (define @t1976 () (=> tptp.cartprodfstpairEq @t1975)) % 1.62/1.90 (define @t1977 () (=> tptp.cartprodmempaircEq @t1976)) % 1.62/1.90 (define @t1978 () (=> tptp.cartprodpairmemER @t1977)) % 1.62/1.90 (define @t1979 () (=> tptp.cartprodpairmemEL @t1978)) % 1.62/1.90 (define @t1980 () (=> tptp.cartprodsndin @t1979)) % 1.62/1.90 (define @t1981 () (=> tptp.kpairsurjEq @t1980)) % 1.62/1.90 (define @t1982 () (=> tptp.ksndpairEq @t1981)) % 1.62/1.90 (define @t1983 () (=> tptp.ksndsingleton @t1982)) % 1.62/1.90 (define @t1984 () (=> tptp.setukpairinjR @t1983)) % 1.62/1.90 (define @t1985 () (=> tptp.setukpairinjR2 @t1984)) % 1.62/1.90 (define @t1986 () (=> tptp.upairequniteq @t1985)) % 1.62/1.90 (define @t1987 () (=> tptp.setukpairinjR1 @t1986)) % 1.62/1.90 (define @t1988 () (=> tptp.setukpairinjR12 @t1987)) % 1.62/1.90 (define @t1989 () (=> tptp.setukpairinjR11 @t1988)) % 1.62/1.90 (define @t1990 () (=> tptp.setukpairinjL @t1989)) % 1.62/1.90 (define @t1991 () (=> tptp.setukpairinjL2 @t1990)) % 1.62/1.90 (define @t1992 () (=> tptp.cartprodfstin @t1991)) % 1.62/1.90 (define @t1993 () (=> tptp.kfstpairEq @t1992)) % 1.62/1.90 (define @t1994 () (=> tptp.theprop @t1993)) % 1.62/1.90 (define @t1995 () (=> tptp.kfstsingleton @t1994)) % 1.62/1.90 (define @t1996 () (=> tptp.setukpairinjL1 @t1995)) % 1.62/1.90 (define @t1997 () (=> tptp.singletonsuniq @t1996)) % 1.62/1.90 (define @t1998 () (=> tptp.ex1I2 @t1997)) % 1.62/1.90 (define @t1999 () (=> tptp.ex1I @t1998)) % 1.62/1.90 (define @t2000 () (=> tptp.ex1E1 @t1999)) % 1.62/1.90 (define @t2001 () (=> tptp.singletonprop @t2000)) % 1.62/1.90 (define @t2002 () (=> tptp.setunionsingleton @t2001)) % 1.62/1.90 (define @t2003 () (=> tptp.setunionsingleton2 @t2002)) % 1.62/1.90 (define @t2004 () (=> tptp.setunionsingleton1 @t2003)) % 1.62/1.90 (define @t2005 () (=> tptp.setunionE2 @t2004)) % 1.62/1.90 (define @t2006 () (=> tptp.cartprodmempair @t2005)) % 1.62/1.90 (define @t2007 () (=> tptp.cartprodmempair1 @t2006)) % 1.62/1.90 (define @t2008 () (=> tptp.cartprodpairin @t2007)) % 1.62/1.90 (define @t2009 () (=> tptp.ubforcartprodlem3 @t2008)) % 1.62/1.90 (define @t2010 () (=> tptp.ubforcartprodlem2 @t2009)) % 1.62/1.90 (define @t2011 () (=> tptp.ubforcartprodlem1 @t2010)) % 1.62/1.90 (define @t2012 () (=> tptp.upairinpowunion @t2011)) % 1.62/1.90 (define @t2013 () (=> tptp.upairsubunion @t2012)) % 1.62/1.90 (define @t2014 () (=> tptp.upairset2E @t2013)) % 1.62/1.90 (define @t2015 () (=> tptp.singletoninpowunion @t2014)) % 1.62/1.90 (define @t2016 () (=> tptp.singletoninpowerset @t2015)) % 1.62/1.90 (define @t2017 () (=> tptp.singletonsubset @t2016)) % 1.62/1.90 (define @t2018 () (=> tptp.kpairp @t2017)) % 1.62/1.90 (define @t2019 () (=> tptp.kpairiskpair @t2018)) % 1.62/1.90 (define @t2020 () (=> tptp.setukpairIR @t2019)) % 1.62/1.90 (define @t2021 () (=> tptp.setukpairIL @t2020)) % 1.62/1.90 (define @t2022 () (=> tptp.secondinupair @t2021)) % 1.62/1.90 (define @t2023 () (=> tptp.symdiffIneg2 @t2022)) % 1.62/1.90 (define @t2024 () (=> tptp.symdiffIneg1 @t2023)) % 1.62/1.90 (define @t2025 () (=> tptp.symdiffI2 @t2024)) % 1.62/1.90 (define @t2026 () (=> tptp.symdiffI1 @t2025)) % 1.62/1.90 (define @t2027 () (=> tptp.symdiffE @t2026)) % 1.62/1.90 (define @t2028 () (=> tptp.setminusSubset1 @t2027)) % 1.62/1.90 (define @t2029 () (=> tptp.setminusLsub @t2028)) % 1.62/1.90 (define @t2030 () (=> tptp.setminusIRneg @t2029)) % 1.62/1.90 (define @t2031 () (=> tptp.setminusILneg @t2030)) % 1.62/1.90 (define @t2032 () (=> tptp.setminusELneg @t2031)) % 1.62/1.90 (define @t2033 () (=> tptp.setminusERneg @t2032)) % 1.62/1.90 (define @t2034 () (=> tptp.setminusSubset2 @t2033)) % 1.62/1.90 (define @t2035 () (=> tptp.setminusER @t2034)) % 1.62/1.90 (define @t2036 () (=> tptp.setminusEL @t2035)) % 1.62/1.90 (define @t2037 () (=> tptp.setminusI @t2036)) % 1.62/1.90 (define @t2038 () (=> tptp.bs114d @t2037)) % 1.62/1.90 (define @t2039 () (=> tptp.binintersectSubset1 @t2038)) % 1.62/1.90 (define @t2040 () (=> tptp.binintersectSubset4 @t2039)) % 1.62/1.90 (define @t2041 () (=> tptp.binintersectRsub @t2040)) % 1.62/1.90 (define @t2042 () (=> tptp.disjointsetsI1 @t2041)) % 1.62/1.90 (define @t2043 () (=> tptp.binintersectER @t2042)) % 1.62/1.90 (define @t2044 () (=> tptp.binintersectSubset3 @t2043)) % 1.62/1.90 (define @t2045 () (=> tptp.binintersectSubset2 @t2044)) % 1.62/1.90 (define @t2046 () (=> tptp.binintersectLsub @t2045)) % 1.62/1.90 (define @t2047 () (=> tptp.binintersectEL @t2046)) % 1.62/1.90 (define @t2048 () (=> tptp.binintersectSubset5 @t2047)) % 1.62/1.90 (define @t2049 () (=> tptp.binintersectI @t2048)) % 1.62/1.90 (define @t2050 () (=> tptp.binunionRsub @t2049)) % 1.62/1.90 (define @t2051 () (=> tptp.binunionLsub @t2050)) % 1.62/1.90 (define @t2052 () (=> tptp.binunionE @t2051)) % 1.62/1.90 (define @t2053 () (=> tptp.binunionEcases @t2052)) % 1.62/1.90 (define @t2054 () (=> tptp.binunionIR @t2053)) % 1.62/1.90 (define @t2055 () (=> tptp.upairset2IR @t2054)) % 1.62/1.90 (define @t2056 () (=> tptp.binunionIL @t2055)) % 1.62/1.90 (define @t2057 () (=> tptp.sepSubset @t2056)) % 1.62/1.90 (define @t2058 () (=> tptp.sepInPowerset @t2057)) % 1.62/1.90 (define @t2059 () (=> tptp.powersetsubset @t2058)) % 1.62/1.90 (define @t2060 () (=> tptp.inPowerset @t2059)) % 1.62/1.90 (define @t2061 () (=> tptp.powersetE1 @t2060)) % 1.62/1.90 (define @t2062 () (=> tptp.powersetI1 @t2061)) % 1.62/1.90 (define @t2063 () (=> tptp.subsetemptysetimpeq @t2062)) % 1.62/1.90 (define @t2064 () (=> tptp.setextsub @t2063)) % 1.62/1.90 (define @t2065 () (=> tptp.subset2powerset @t2064)) % 1.62/1.90 (define @t2066 () (=> tptp.setadjoinSub2 @t2065)) % 1.62/1.90 (define @t2067 () (=> tptp.setadjoinSub @t2066)) % 1.62/1.90 (define @t2068 () (=> tptp.subsetTrans @t2067)) % 1.62/1.90 (define @t2069 () (=> tptp.subsetRefl @t2068)) % 1.62/1.90 (define @t2070 () (=> tptp.notequalI2 @t2069)) % 1.62/1.90 (define @t2071 () (=> tptp.notequalI1 @t2070)) % 1.62/1.90 (define @t2072 () (=> tptp.notsubsetI @t2071)) % 1.62/1.90 (define @t2073 () (=> tptp.subsetE2 @t2072)) % 1.62/1.90 (define @t2074 () (=> tptp.subsetE @t2073)) % 1.62/1.90 (define @t2075 () (=> tptp.emptysetsubset @t2074)) % 1.62/1.90 (define @t2076 () (=> tptp.subsetI2 @t2075)) % 1.62/1.90 (define @t2077 () (=> tptp.eqimpsubset1 @t2076)) % 1.62/1.90 (define @t2078 () (=> tptp.eqimpsubset2 @t2077)) % 1.62/1.90 (define @t2079 () (=> tptp.subsetI1 @t2078)) % 1.62/1.90 (define @t2080 () (=> tptp.dsetconstr__Cong @t2079)) % 1.62/1.90 (define @t2081 () (=> tptp.descr__Cong @t2080)) % 1.62/1.90 (define @t2082 () (=> tptp.exuEu @t2081)) % 1.62/1.90 (define @t2083 () (=> tptp.omega__Cong @t2082)) % 1.62/1.90 (define @t2084 () (=> tptp.setunion__Cong @t2083)) % 1.62/1.90 (define @t2085 () (=> tptp.powerset__Cong @t2084)) % 1.62/1.90 (define @t2086 () (=> tptp.setadjoin__Cong @t2085)) % 1.62/1.90 (define @t2087 () (=> tptp.emptyset__Cong @t2086)) % 1.62/1.90 (define @t2088 () (=> tptp.exu__Cong @t2087)) % 1.62/1.90 (define @t2089 () (=> tptp.exuE3u @t2088)) % 1.62/1.90 (define @t2090 () (=> tptp.in__Cong @t2089)) % 1.62/1.90 (define @t2091 () (=> tptp.inCongP @t2090)) % 1.62/1.90 (define @t2092 () (=> tptp.exuI2 @t2091)) % 1.62/1.90 (define @t2093 () (=> tptp.exuI3 @t2092)) % 1.62/1.90 (define @t2094 () (=> tptp.exuI1 @t2093)) % 1.62/1.90 (define @t2095 () (=> tptp.notdallE @t2094)) % 1.62/1.90 (define @t2096 () (=> tptp.notdexE @t2095)) % 1.62/1.90 (define @t2097 () (=> tptp.prop2set2propI @t2096)) % 1.62/1.90 (define @t2098 () (=> tptp.prop2setI @t2097)) % 1.62/1.90 (define @t2099 () (=> tptp.quantDeMorgan4 @t2098)) % 1.62/1.90 (define @t2100 () (=> tptp.quantDeMorgan3 @t2099)) % 1.62/1.90 (define @t2101 () (=> tptp.quantDeMorgan2 @t2100)) % 1.62/1.90 (define @t2102 () (=> tptp.quantDeMorgan1 @t2101)) % 1.62/1.90 (define @t2103 () (=> tptp.vacuousDall @t2102)) % 1.62/1.90 (define @t2104 () (=> tptp.emptyE1 @t2103)) % 1.62/1.90 (define @t2105 () (=> tptp.upairsetIR @t2104)) % 1.62/1.90 (define @t2106 () (=> tptp.upairsetIL @t2105)) % 1.62/1.90 (define @t2107 () (=> tptp.upairsetE @t2106)) % 1.62/1.90 (define @t2108 () (=> tptp.singletonsswitch @t2107)) % 1.62/1.90 (define @t2109 () (=> tptp.eqinunit @t2108)) % 1.62/1.90 (define @t2110 () (=> tptp.notinsingleton @t2109)) % 1.62/1.90 (define @t2111 () (=> tptp.uniqinunit @t2110)) % 1.62/1.90 (define @t2112 () (=> tptp.nonemptyImpWitness @t2111)) % 1.62/1.90 (define @t2113 () (=> tptp.exuE2 @t2112)) % 1.62/1.90 (define @t2114 () (=> tptp.subPowSU @t2113)) % 1.62/1.90 (define @t2115 () (=> tptp.setunionE @t2114)) % 1.62/1.90 (define @t2116 () (=> tptp.setunionI @t2115)) % 1.62/1.90 (define @t2117 () (=> tptp.powersetE @t2116)) % 1.62/1.90 (define @t2118 () (=> tptp.emptyInPowerset @t2117)) % 1.62/1.90 (define @t2119 () (=> tptp.emptyinPowerset @t2118)) % 1.62/1.90 (define @t2120 () (=> tptp.powersetI @t2119)) % 1.62/1.90 (define @t2121 () (=> tptp.setoftrueEq @t2120)) % 1.62/1.90 (define @t2122 () (=> tptp.setadjoinOr @t2121)) % 1.62/1.90 (define @t2123 () (=> tptp.setadjoinE @t2122)) % 1.62/1.90 (define @t2124 () (=> tptp.setadjoinIR @t2123)) % 1.62/1.90 (define @t2125 () (=> tptp.emptyinunitempty @t2124)) % 1.62/1.90 (define @t2126 () (=> tptp.setadjoinIL @t2125)) % 1.62/1.90 (define @t2127 () (=> tptp.nonemptyI1 @t2126)) % 1.62/1.90 (define @t2128 () (=> tptp.nonemptyI @t2127)) % 1.62/1.90 (define @t2129 () (=> tptp.nonemptyE1 @t2128)) % 1.62/1.90 (define @t2130 () (=> tptp.setbeta @t2129)) % 1.62/1.90 (define @t2131 () (=> tptp.noeltsimpempty @t2130)) % 1.62/1.90 (define @t2132 () (=> tptp.emptyI @t2131)) % 1.62/1.90 (define @t2133 () (=> tptp.setext @t2132)) % 1.62/1.90 (define @t2134 () (=> tptp.exuE3e @t2133)) % 1.62/1.90 (define @t2135 () (=> tptp.notinemptyset @t2134)) % 1.62/1.90 (define @t2136 () (=> tptp.emptysetimpfalse @t2135)) % 1.62/1.90 (define @t2137 () (=> tptp.emptysetE @t2136)) % 1.62/1.90 (define @t2138 () (=> tptp.prop2setE @t2137)) % 1.62/1.90 (define @t2139 () (=> tptp.exuE1 @t2138)) % 1.62/1.90 (define @t2140 () (=> tptp.dsetconstrER @t2139)) % 1.62/1.90 (define @t2141 () (=> tptp.dsetconstrEL @t2140)) % 1.62/1.90 (define @t2142 () (=> tptp.dsetconstrI @t2141)) % 1.62/1.90 (define @t2143 () (=> tptp.descrp @t2142)) % 1.62/1.90 (define @t2144 () (=> tptp.wellorderingAx @t2143)) % 1.62/1.90 (define @t2145 () (=> tptp.foundationAx @t2144)) % 1.62/1.90 (define @t2146 () (=> tptp.replAx @t2145)) % 1.62/1.90 (define @t2147 () (=> tptp.omegaIndAx @t2146)) % 1.62/1.90 (define @t2148 () (=> tptp.omegaSAx @t2147)) % 1.62/1.90 (define @t2149 () (=> tptp.omega0Ax @t2148)) % 1.62/1.90 (define @t2150 () (=> tptp.setunionAx @t2149)) % 1.62/1.90 (define @t2151 () (=> tptp.powersetAx @t2150)) % 1.62/1.90 (define @t2152 () (=> tptp.setadjoinAx @t2151)) % 1.62/1.90 (define @t2153 () (=> tptp.emptysetAx @t2152)) % 1.62/1.90 (define @t2154 () (=> tptp.setextAx @t2153)) % 1.62/1.90 (define @t2155 () (not @t2154)) % 1.62/1.90 (define @t2156 () (lambda @t150 @t169)) % 1.62/1.90 (define @t2157 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.62/1.90 (define @t2158 () (_ @t901 @t19)) % 1.62/1.90 (define @t2159 () (and @t21 (= @t2158 @t4))) % 1.62/1.90 (define @t2160 () (exists @t70 @t2159)) % 1.62/1.90 (define @t2161 () (=> @t6 @t2160)) % 1.62/1.90 (define @t2162 () (forall @t9 @t2161)) % 1.62/1.90 (define @t2163 () (lambda @t891 @t2162)) % 1.62/1.90 (define @t2164 () (@list @t882)) % 1.62/1.90 (define @t2165 () (lambda @t2164 (_ (_ (_ tptp.surjective @t2) @t1) @t882))) % 1.62/1.90 (define @t2166 () (_ tptp.dsetconstr @t908)) % 1.62/1.90 (define @t2167 () (lambda @t12 (_ @t2166 @t2165))) % 1.62/1.90 (define @t2168 () (tptp.funcSet @t2 @t1)) % 1.62/1.90 (define @t2169 () (tptp.in @t882 @t2168)) % 1.62/1.90 (define @t2170 () (@var "BOUND_VARIABLE_18785" $$unsorted)) % 1.62/1.90 (define @t2171 () (tptp.ap @t2 @t1 @t2170 @t19)) % 1.62/1.90 (define @t2172 () (= @t4 @t2171)) % 1.62/1.90 (define @t2173 () (not @t2172)) % 1.62/1.90 (define @t2174 () (tptp.in @t19 @t2)) % 1.62/1.90 (define @t2175 () (not @t2174)) % 1.62/1.90 (define @t2176 () (or @t2175 @t2173)) % 1.62/1.90 (define @t2177 () (forall @t70 @t2176)) % 1.62/1.90 (define @t2178 () (not @t2177)) % 1.62/1.90 (define @t2179 () (tptp.in @t4 @t1)) % 1.62/1.90 (define @t2180 () (not @t2179)) % 1.62/1.90 (define @t2181 () (or @t2180 @t2178)) % 1.62/1.90 (define @t2182 () (forall @t9 @t2181)) % 1.62/1.90 (define @t2183 () (@list @t2170)) % 1.62/1.90 (define @t2184 () (lambda @t2183 @t2182)) % 1.62/1.90 (define @t2185 () (tptp.dsetconstr @t2168 @t2184)) % 1.62/1.90 (define @t2186 () (tptp.in @t882 @t2185)) % 1.62/1.90 (define @t2187 () (forall @t891 (or (not @t2186) @t2169))) % 1.62/1.90 (define @t2188 () (tptp.injective @t4 @t19 @t882)) % 1.62/1.90 (define @t2189 () (tptp.injFuncSet @t4 @t19)) % 1.62/1.90 (define @t2190 () (tptp.in @t882 @t2189)) % 1.62/1.90 (define @t2191 () (tptp.injFuncSet @t2 @t1)) % 1.62/1.90 (define @t2192 () (tptp.in @t882 @t2191)) % 1.62/1.90 (define @t2193 () (tptp.injective @t2 @t1 @t882)) % 1.62/1.90 (define @t2194 () (not @t2169)) % 1.62/1.90 (define @t2195 () (@var "BOUND_VARIABLE_18394" $$unsorted)) % 1.62/1.90 (define @t2196 () (not (tptp.in @t2195 @t2))) % 1.62/1.90 (define @t2197 () (tptp.image1 @t2 @t918)) % 1.62/1.90 (define @t2198 () (_ @t918 @t2195)) % 1.62/1.90 (define @t2199 () (tptp.in @t2198 @t2197)) % 1.62/1.90 (define @t2200 () (or @t2199 @t2196)) % 1.62/1.90 (define @t2201 () (@list @t2 @t918 @t2195)) % 1.62/1.90 (define @t2202 () (_ @t918 @t19)) % 1.62/1.90 (define @t2203 () (forall @t70 (or @t2175 (not (= @t4 @t2202))))) % 1.62/1.90 (define @t2204 () (not @t2203)) % 1.62/1.90 (define @t2205 () (tptp.in @t4 @t2197)) % 1.62/1.90 (define @t2206 () (@var "BOUND_VARIABLE_18321" $$unsorted)) % 1.62/1.90 (define @t2207 () (@var "BOUND_VARIABLE_18295" $$unsorted)) % 1.62/1.90 (define @t2208 () (_ @t918 @t2207)) % 1.62/1.90 (define @t2209 () (not (tptp.in @t2207 @t2))) % 1.62/1.90 (define @t2210 () (@list @t2207)) % 1.62/1.90 (define @t2211 () (not (forall @t2210 (or @t2209 (not (= @t2208 @t2206)))))) % 1.62/1.90 (define @t2212 () (tptp.in @t2206 @t19)) % 1.62/1.90 (define @t2213 () (@list @t2206)) % 1.62/1.90 (define @t2214 () (@var "BOUND_VARIABLE_18269" $$unsorted)) % 1.62/1.90 (define @t2215 () (not (forall @t70 (or @t2175 (not (= @t2202 @t2214)))))) % 1.62/1.90 (define @t2216 () (tptp.in @t2214 @t4)) % 1.62/1.90 (define @t2217 () (@list @t2214)) % 1.62/1.90 (define @t2218 () (not (forall @t2217 (= @t2216 @t2215)))) % 1.62/1.90 (define @t2219 () (= @t2179 @t2204)) % 1.62/1.90 (define @t2220 () (forall @t9 @t2219)) % 1.62/1.90 (define @t2221 () (not (forall @t41 (not @t2220)))) % 1.62/1.90 (define @t2222 () (tptp.breln1invset @t2 @t938)) % 1.62/1.90 (define @t2223 () (@var "BOUND_VARIABLE_18208" $$unsorted)) % 1.62/1.90 (define @t2224 () (tptp.breln1invset @t2 @t2223)) % 1.62/1.90 (define @t2225 () (@var "BOUND_VARIABLE_18206" $$unsorted)) % 1.62/1.90 (define @t2226 () (= (tptp.breln1compset @t2 (tptp.binunion @t938 @t2225) @t2223) (tptp.binunion (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t2224 (tptp.breln1invset @t2 @t2225))) (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t2224 @t2222))))) % 1.62/1.90 (define @t2227 () (not (tptp.breln1 @t2 @t2223))) % 1.62/1.90 (define @t2228 () (not (tptp.breln1 @t2 @t2225))) % 1.62/1.90 (define @t2229 () (tptp.breln1 @t2 @t938)) % 1.62/1.90 (define @t2230 () (not @t2229)) % 1.62/1.90 (define @t2231 () (or @t2230 @t2228 @t2227 @t2226)) % 1.62/1.90 (define @t2232 () (@list @t2 @t938 @t2225 @t2223)) % 1.62/1.90 (define @t2233 () (@var "BOUND_VARIABLE_18138" $$unsorted)) % 1.62/1.90 (define @t2234 () (@var "BOUND_VARIABLE_18136" $$unsorted)) % 1.62/1.90 (define @t2235 () (= (tptp.breln1compset @t2 (tptp.binunion @t938 @t2234) @t2233) (tptp.binunion (tptp.breln1compset @t2 @t938 @t2233) (tptp.breln1compset @t2 @t2234 @t2233)))) % 1.62/1.90 (define @t2236 () (not (tptp.breln1 @t2 @t2233))) % 1.62/1.90 (define @t2237 () (not (tptp.breln1 @t2 @t2234))) % 1.62/1.90 (define @t2238 () (or @t2230 @t2237 @t2236 @t2235)) % 1.62/1.90 (define @t2239 () (@list @t2 @t938 @t2234 @t2233)) % 1.62/1.90 (define @t2240 () (@var "BOUND_VARIABLE_18076" $$unsorted)) % 1.62/1.90 (define @t2241 () (= (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t938 @t2240)) (tptp.breln1compset @t2 (tptp.breln1invset @t2 @t2240) @t2222))) % 1.62/1.90 (define @t2242 () (not (tptp.breln1 @t2 @t2240))) % 1.62/1.90 (define @t2243 () (or @t2230 @t2242 @t2241)) % 1.62/1.90 (define @t2244 () (@list @t2 @t938 @t2240)) % 1.62/1.90 (define @t2245 () (tptp.breln1invset @t2 @t2222)) % 1.62/1.90 (define @t2246 () (@var "BOUND_VARIABLE_18035" $$unsorted)) % 1.62/1.90 (define @t2247 () (= (tptp.binunion @t938 @t2246) (tptp.binunion @t2246 @t938))) % 1.62/1.90 (define @t2248 () (not (tptp.breln1 @t2 @t2246))) % 1.62/1.90 (define @t2249 () (or @t2230 @t2248 @t2247)) % 1.62/1.90 (define @t2250 () (@list @t2 @t938 @t2246)) % 1.62/1.90 (define @t2251 () (@var "BOUND_VARIABLE_17971" $$unsorted)) % 1.62/1.90 (define @t2252 () (@var "BOUND_VARIABLE_17975" $$unsorted)) % 1.62/1.90 (define @t2253 () (@var "BOUND_VARIABLE_17973" $$unsorted)) % 1.62/1.90 (define @t2254 () (tptp.kpair @t2253 @t2252)) % 1.62/1.90 (define @t2255 () (tptp.in @t2254 @t2251)) % 1.62/1.90 (define @t2256 () (tptp.in @t2254 @t938)) % 1.62/1.90 (define @t2257 () (not (tptp.in @t2254 (tptp.binunion @t938 @t2251)))) % 1.62/1.90 (define @t2258 () (not (tptp.in @t2252 @t2))) % 1.62/1.90 (define @t2259 () (not (tptp.in @t2253 @t2))) % 1.62/1.90 (define @t2260 () (not (tptp.breln1 @t2 @t2251))) % 1.62/1.90 (define @t2261 () (or @t2230 @t2260 @t2259 @t2258 @t2257 @t2256 @t2255)) % 1.62/1.90 (define @t2262 () (@list @t2 @t938 @t2251 @t2253 @t2252)) % 1.62/1.90 (define @t2263 () (forall @t2262 @t2261)) % 1.62/1.90 (define @t2264 () (@var "BOUND_VARIABLE_17884" $$unsorted)) % 1.62/1.90 (define @t2265 () (@var "BOUND_VARIABLE_17888" $$unsorted)) % 1.62/1.90 (define @t2266 () (@var "BOUND_VARIABLE_17886" $$unsorted)) % 1.62/1.90 (define @t2267 () (tptp.kpair @t2266 @t2265)) % 1.62/1.90 (define @t2268 () (tptp.in @t2267 (tptp.binunion @t938 @t2264))) % 1.62/1.90 (define @t2269 () (and (not (tptp.in @t2267 @t938)) (not (tptp.in @t2267 @t2264)))) % 1.62/1.90 (define @t2270 () (not (tptp.in @t2265 @t2))) % 1.62/1.90 (define @t2271 () (not (tptp.in @t2266 @t2))) % 1.62/1.90 (define @t2272 () (not (tptp.breln1 @t2 @t2264))) % 1.62/1.90 (define @t2273 () (or @t2230 @t2272 @t2271 @t2270 @t2269 @t2268)) % 1.62/1.90 (define @t2274 () (@list @t2 @t938 @t2264 @t2266 @t2265)) % 1.62/1.90 (define @t2275 () (@var "BOUND_VARIABLE_17795" $$unsorted)) % 1.62/1.90 (define @t2276 () (@var "BOUND_VARIABLE_17799" $$unsorted)) % 1.62/1.90 (define @t2277 () (@var "BOUND_VARIABLE_17797" $$unsorted)) % 1.62/1.90 (define @t2278 () (tptp.kpair @t2277 @t2276)) % 1.62/1.90 (define @t2279 () (tptp.in @t2278 (tptp.binunion @t938 @t2275))) % 1.62/1.90 (define @t2280 () (not (tptp.in @t2278 @t2275))) % 1.62/1.90 (define @t2281 () (not (tptp.in @t2276 @t2))) % 1.62/1.90 (define @t2282 () (not (tptp.in @t2277 @t2))) % 1.62/1.90 (define @t2283 () (not (tptp.breln1 @t2 @t2275))) % 1.62/1.90 (define @t2284 () (or @t2230 @t2283 @t2282 @t2281 @t2280 @t2279)) % 1.62/1.90 (define @t2285 () (@list @t2 @t938 @t2275 @t2277 @t2276)) % 1.62/1.90 (define @t2286 () (@var "BOUND_VARIABLE_17715" $$unsorted)) % 1.62/1.90 (define @t2287 () (@var "BOUND_VARIABLE_17719" $$unsorted)) % 1.62/1.90 (define @t2288 () (@var "BOUND_VARIABLE_17717" $$unsorted)) % 1.62/1.90 (define @t2289 () (tptp.kpair @t2288 @t2287)) % 1.62/1.90 (define @t2290 () (tptp.in @t2289 (tptp.binunion @t938 @t2286))) % 1.62/1.90 (define @t2291 () (not (tptp.in @t2289 @t938))) % 1.62/1.90 (define @t2292 () (not (tptp.in @t2287 @t2))) % 1.62/1.90 (define @t2293 () (not (tptp.in @t2288 @t2))) % 1.62/1.90 (define @t2294 () (not (tptp.breln1 @t2 @t2286))) % 1.62/1.90 (define @t2295 () (or @t2230 @t2294 @t2293 @t2292 @t2291 @t2290)) % 1.62/1.90 (define @t2296 () (@list @t2 @t938 @t2286 @t2288 @t2287)) % 1.62/1.90 (define @t2297 () (@var "BOUND_VARIABLE_17644" $$unsorted)) % 1.62/1.90 (define @t2298 () (tptp.breln1 @t2 (tptp.binunion @t938 @t2297))) % 1.62/1.90 (define @t2299 () (not (tptp.breln1 @t2 @t2297))) % 1.62/1.90 (define @t2300 () (or @t2230 @t2299 @t2298)) % 1.62/1.90 (define @t2301 () (@list @t2 @t938 @t2297)) % 1.62/1.90 (define @t2302 () (@var "BOUND_VARIABLE_17581" $$unsorted)) % 1.62/1.90 (define @t2303 () (@var "BOUND_VARIABLE_17585" $$unsorted)) % 1.62/1.90 (define @t2304 () (@var "BOUND_VARIABLE_17583" $$unsorted)) % 1.62/1.90 (define @t2305 () (tptp.in @t289 @t2)) % 1.62/1.90 (define @t2306 () (not @t2305)) % 1.62/1.90 (define @t2307 () (not (forall @t1068 (or @t2306 (not (tptp.in (tptp.kpair @t2304 @t289) @t938)) (not (tptp.in (tptp.kpair @t289 @t2303) @t2302)))))) % 1.62/1.90 (define @t2308 () (not (tptp.in (tptp.kpair @t2304 @t2303) (tptp.breln1compset @t2 @t938 @t2302)))) % 1.62/1.90 (define @t2309 () (not (tptp.in @t2303 @t2))) % 1.62/1.90 (define @t2310 () (not (tptp.in @t2304 @t2))) % 1.62/1.90 (define @t2311 () (not (tptp.breln1 @t2 @t2302))) % 1.62/1.90 (define @t2312 () (or @t2230 @t2311 @t2310 @t2309 @t2308 @t2307)) % 1.62/1.90 (define @t2313 () (@list @t2 @t938 @t2302 @t2304 @t2303)) % 1.62/1.90 (define @t2314 () (forall @t2313 @t2312)) % 1.62/1.90 (define @t2315 () (@var "BOUND_VARIABLE_17471" $$unsorted)) % 1.62/1.90 (define @t2316 () (@var "BOUND_VARIABLE_17475" $$unsorted)) % 1.62/1.90 (define @t2317 () (@var "BOUND_VARIABLE_17477" $$unsorted)) % 1.62/1.90 (define @t2318 () (not (tptp.in (tptp.kpair @t2317 @t2316) @t2315))) % 1.62/1.90 (define @t2319 () (@var "BOUND_VARIABLE_17473" $$unsorted)) % 1.62/1.90 (define @t2320 () (not (tptp.in (tptp.kpair @t2319 @t2317) @t938))) % 1.62/1.90 (define @t2321 () (not (tptp.in @t2317 @t2))) % 1.62/1.90 (define @t2322 () (tptp.in (tptp.kpair @t2319 @t2316) (tptp.breln1compset @t2 @t938 @t2315))) % 1.62/1.90 (define @t2323 () (not (tptp.in @t2316 @t2))) % 1.62/1.90 (define @t2324 () (not (tptp.in @t2319 @t2))) % 1.62/1.90 (define @t2325 () (not (tptp.breln1 @t2 @t2315))) % 1.62/1.90 (define @t2326 () (or @t2230 @t2325 @t2324 @t2323 @t2322 @t2321 @t2320 @t2318)) % 1.62/1.90 (define @t2327 () (@list @t2 @t938 @t2315 @t2319 @t2316 @t2317)) % 1.62/1.90 (define @t2328 () (@var "BOUND_VARIABLE_17342" $$unsorted)) % 1.62/1.90 (define @t2329 () (tptp.breln1 @t2 (tptp.breln1compset @t2 @t938 @t2328))) % 1.62/1.90 (define @t2330 () (not (tptp.breln1 @t2 @t2328))) % 1.62/1.90 (define @t2331 () (or @t2230 @t2330 @t2329)) % 1.62/1.90 (define @t2332 () (@list @t2 @t938 @t2328)) % 1.62/1.90 (define @t2333 () (@var "BOUND_VARIABLE_17310" $$unsorted)) % 1.62/1.90 (define @t2334 () (@var "BOUND_VARIABLE_17308" $$unsorted)) % 1.62/1.90 (define @t2335 () (tptp.in (tptp.kpair @t2334 @t2333) @t938)) % 1.62/1.90 (define @t2336 () (not (tptp.in (tptp.kpair @t2333 @t2334) @t2222))) % 1.62/1.90 (define @t2337 () (not (tptp.in @t2333 @t2))) % 1.62/1.90 (define @t2338 () (not (tptp.in @t2334 @t2))) % 1.62/1.90 (define @t2339 () (or @t2230 @t2338 @t2337 @t2336 @t2335)) % 1.62/1.90 (define @t2340 () (@list @t2 @t938 @t2334 @t2333)) % 1.62/1.90 (define @t2341 () (@var "BOUND_VARIABLE_17253" $$unsorted)) % 1.62/1.90 (define @t2342 () (@var "BOUND_VARIABLE_17255" $$unsorted)) % 1.62/1.90 (define @t2343 () (tptp.in (tptp.kpair @t2342 @t2341) @t2222)) % 1.62/1.90 (define @t2344 () (not (tptp.in (tptp.kpair @t2341 @t2342) @t938))) % 1.62/1.90 (define @t2345 () (not (tptp.in @t2342 @t2))) % 1.62/1.90 (define @t2346 () (not (tptp.in @t2341 @t2))) % 1.62/1.90 (define @t2347 () (or @t2230 @t2346 @t2345 @t2344 @t2343)) % 1.62/1.90 (define @t2348 () (@list @t2 @t938 @t2341 @t2342)) % 1.62/1.90 (define @t2349 () (tptp.breln1 @t2 @t2222)) % 1.62/1.90 (define @t2350 () (@var "BOUND_VARIABLE_17186" $$unsorted)) % 1.62/1.90 (define @t2351 () (= @t938 @t2350)) % 1.62/1.90 (define @t2352 () (@var "BOUND_VARIABLE_17155" $$unsorted)) % 1.62/1.90 (define @t2353 () (tptp.kpair @t4 @t2352)) % 1.62/1.90 (define @t2354 () (tptp.in @t2353 @t938)) % 1.62/1.90 (define @t2355 () (not (tptp.in @t2352 @t2))) % 1.62/1.90 (define @t2356 () (tptp.in @t4 @t2)) % 1.62/1.90 (define @t2357 () (not @t2356)) % 1.62/1.90 (define @t2358 () (@list @t4 @t2352)) % 1.62/1.90 (define @t2359 () (not (forall @t2358 (or @t2357 @t2355 (not (tptp.in @t2353 @t2350)) @t2354)))) % 1.62/1.90 (define @t2360 () (@var "BOUND_VARIABLE_17096" $$unsorted)) % 1.62/1.90 (define @t2361 () (tptp.kpair @t4 @t2360)) % 1.62/1.90 (define @t2362 () (not (tptp.in @t2361 @t938))) % 1.62/1.90 (define @t2363 () (not (tptp.in @t2360 @t2))) % 1.62/1.90 (define @t2364 () (@list @t4 @t2360)) % 1.62/1.90 (define @t2365 () (not (forall @t2364 (or @t2357 @t2363 @t2362 (tptp.in @t2361 @t2350))))) % 1.62/1.90 (define @t2366 () (not (tptp.breln1 @t2 @t2350))) % 1.62/1.90 (define @t2367 () (or @t2230 @t2366 @t2365 @t2359 @t2351)) % 1.62/1.90 (define @t2368 () (@list @t2 @t938 @t2350)) % 1.62/1.90 (define @t2369 () (@var "BOUND_VARIABLE_17128" $$unsorted)) % 1.62/1.90 (define @t2370 () (tptp.subset @t938 @t2369)) % 1.62/1.90 (define @t2371 () (not (forall @t2364 (or @t2357 @t2363 @t2362 (tptp.in @t2361 @t2369))))) % 1.62/1.90 (define @t2372 () (not (tptp.breln1 @t2 @t2369))) % 1.62/1.90 (define @t2373 () (or @t2230 @t2372 @t2371 @t2370)) % 1.62/1.90 (define @t2374 () (@list @t2 @t938 @t2369)) % 1.62/1.90 (define @t2375 () (@var "BOUND_VARIABLE_16931" $$unsorted)) % 1.62/1.90 (define @t2376 () (@var "BOUND_VARIABLE_16929" (-> $$unsorted Bool))) % 1.62/1.90 (define @t2377 () (_ @t2376 @t2375)) % 1.62/1.90 (define @t2378 () (not (tptp.in @t2375 @t938))) % 1.62/1.90 (define @t2379 () (@var "BOUND_VARIABLE_16890" $$unsorted)) % 1.62/1.90 (define @t2380 () (tptp.kpair @t4 @t2379)) % 1.62/1.90 (define @t2381 () (not (tptp.in @t2380 @t938))) % 1.62/1.90 (define @t2382 () (not (tptp.in @t2379 @t2))) % 1.62/1.90 (define @t2383 () (@list @t4 @t2379)) % 1.62/1.90 (define @t2384 () (not (forall @t2383 (or @t2357 @t2382 @t2381 (_ @t2376 @t2380))))) % 1.62/1.90 (define @t2385 () (or @t2230 @t2384 @t2378 @t2377)) % 1.62/1.90 (define @t2386 () (@list @t2 @t938 @t2376 @t2375)) % 1.62/1.90 (define @t2387 () (forall @t2386 @t2385)) % 1.62/1.90 (define @t2388 () (@var "BOUND_VARIABLE_17044" $$unsorted)) % 1.62/1.90 (define @t2389 () (tptp.kpair @t19 @t289)) % 1.62/1.90 (define @t2390 () (@var "BOUND_VARIABLE_17046" $$unsorted)) % 1.62/1.90 (define @t2391 () (tptp.in @t289 @t1)) % 1.62/1.90 (define @t2392 () (not @t2391)) % 1.62/1.90 (define @t2393 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (and (_ @t67 @t2390 @t19) (forall @t1068 (or @t2392 (not (_ @t67 @t2390 @t289)) (tptp.in @t2389 @t2388)))))))) % 1.62/1.90 (define @t2394 () (not (tptp.in @t2390 @t2))) % 1.62/1.90 (define @t2395 () (not (tptp.reflwellordering @t1 @t2388))) % 1.62/1.90 (define @t2396 () (tptp.breln1Set @t1)) % 1.62/1.90 (define @t2397 () (not (tptp.in @t2388 @t2396))) % 1.62/1.90 (define @t2398 () (_ @t67 @t4 @t19)) % 1.62/1.90 (define @t2399 () (not @t2398)) % 1.62/1.90 (define @t2400 () (tptp.in @t19 @t1)) % 1.62/1.90 (define @t2401 () (not @t2400)) % 1.62/1.90 (define @t2402 () (not (forall @t70 (or @t2401 @t2399)))) % 1.62/1.90 (define @t2403 () (forall @t9 (or @t2357 @t2402))) % 1.62/1.90 (define @t2404 () (not @t2403)) % 1.62/1.90 (define @t2405 () (or @t2404 @t2397 @t2395 @t2394 @t2393)) % 1.62/1.90 (define @t2406 () (@list @t2 @t1 @t67 @t2388 @t2390)) % 1.62/1.90 (define @t2407 () (tptp.breln1Set @t2)) % 1.62/1.90 (define @t2408 () (tptp.in @t938 @t2407)) % 1.62/1.90 (define @t2409 () (tptp.setminus @t2 @t695)) % 1.62/1.90 (define @t2410 () (tptp.powerset @t2409)) % 1.62/1.90 (define @t2411 () (@var "BOUND_VARIABLE_16031" $$unsorted)) % 1.62/1.90 (define @t2412 () (tptp.in (tptp.setminus @t2 (tptp.binunion @t695 @t2411)) @t2410)) % 1.62/1.90 (define @t2413 () (tptp.powerset @t2)) % 1.62/1.90 (define @t2414 () (not (tptp.in @t2411 @t2413))) % 1.62/1.90 (define @t2415 () (tptp.in @t695 @t2413)) % 1.62/1.90 (define @t2416 () (not @t2415)) % 1.62/1.90 (define @t2417 () (or @t2416 @t2414 @t2412)) % 1.62/1.90 (define @t2418 () (@list @t2 @t695 @t2411)) % 1.62/1.90 (define @t2419 () (forall @t2418 @t2417)) % 1.62/1.90 (define @t2420 () (@var "BOUND_VARIABLE_15348" $$unsorted)) % 1.62/1.90 (define @t2421 () (tptp.subset @t2420 @t2409)) % 1.62/1.90 (define @t2422 () (not (tptp.subset @t695 (tptp.setminus @t2 @t2420)))) % 1.62/1.90 (define @t2423 () (not (tptp.in @t2420 @t2413))) % 1.62/1.90 (define @t2424 () (or @t2416 @t2423 @t2422 @t2421)) % 1.62/1.90 (define @t2425 () (@list @t2 @t695 @t2420)) % 1.62/1.90 (define @t2426 () (forall @t2425 @t2424)) % 1.62/1.90 (define @t2427 () (@var "BOUND_VARIABLE_15759" $$unsorted)) % 1.62/1.90 (define @t2428 () (@var "BOUND_VARIABLE_15757" $$unsorted)) % 1.62/1.90 (define @t2429 () (tptp.in (tptp.binintersect @t695 @t2428) (tptp.powerset (tptp.binintersect (tptp.binunion @t695 @t2427) (tptp.binunion @t2428 @t2427))))) % 1.62/1.90 (define @t2430 () (not (tptp.in @t2427 @t2413))) % 1.62/1.90 (define @t2431 () (not (tptp.in @t2428 @t2413))) % 1.62/1.90 (define @t2432 () (or @t2416 @t2431 @t2430 @t2429)) % 1.62/1.90 (define @t2433 () (@list @t2 @t695 @t2428 @t2427)) % 1.62/1.90 (define @t2434 () (forall @t2433 @t2432)) % 1.62/1.90 (define @t2435 () (@var "BOUND_VARIABLE_16841" $$unsorted)) % 1.62/1.90 (define @t2436 () (@var "BOUND_VARIABLE_16839" $$unsorted)) % 1.62/1.90 (define @t2437 () (@var "BOUND_VARIABLE_16837" $$unsorted)) % 1.62/1.90 (define @t2438 () (= (tptp.setminus @t2 (tptp.binintersect (tptp.binunion @t695 @t2437) (tptp.binunion @t2436 @t2435))) (tptp.binunion (tptp.binintersect @t2409 (tptp.setminus @t2 @t2437)) (tptp.binintersect (tptp.setminus @t2 @t2436) (tptp.setminus @t2 @t2435))))) % 1.62/1.90 (define @t2439 () (not (tptp.in @t2435 @t2413))) % 1.62/1.90 (define @t2440 () (not (tptp.in @t2436 @t2413))) % 1.62/1.90 (define @t2441 () (not (tptp.in @t2437 @t2413))) % 1.62/1.90 (define @t2442 () (or @t2416 @t2441 @t2440 @t2439 @t2438)) % 1.62/1.90 (define @t2443 () (@list @t2 @t695 @t2437 @t2436 @t2435)) % 1.62/1.90 (define @t2444 () (@var "BOUND_VARIABLE_15265" $$unsorted)) % 1.62/1.90 (define @t2445 () (tptp.in @t2409 (tptp.powerset (tptp.setminus @t2 (tptp.binintersect @t695 @t2444))))) % 1.62/1.90 (define @t2446 () (not (tptp.in @t2444 @t2413))) % 1.62/1.90 (define @t2447 () (or @t2416 @t2446 @t2445)) % 1.62/1.90 (define @t2448 () (@list @t2 @t695 @t2444)) % 1.62/1.90 (define @t2449 () (forall @t2448 @t2447)) % 1.62/1.90 (define @t2450 () (@var "BOUND_VARIABLE_16734" $$unsorted)) % 1.62/1.90 (define @t2451 () (@var "BOUND_VARIABLE_16732" $$unsorted)) % 1.62/1.90 (define @t2452 () (@var "BOUND_VARIABLE_16730" $$unsorted)) % 1.62/1.90 (define @t2453 () (tptp.subset (tptp.binintersect @t695 @t2452) (tptp.binintersect @t2451 @t2450))) % 1.62/1.90 (define @t2454 () (not (tptp.subset @t2452 @t2450))) % 1.62/1.90 (define @t2455 () (not (tptp.in @t2450 @t2413))) % 1.62/1.90 (define @t2456 () (not (tptp.subset @t695 @t2451))) % 1.62/1.90 (define @t2457 () (not (tptp.in @t2451 @t2413))) % 1.62/1.90 (define @t2458 () (not (tptp.in @t2452 @t2413))) % 1.62/1.90 (define @t2459 () (or @t2416 @t2458 @t2457 @t2456 @t2455 @t2454 @t2453)) % 1.62/1.90 (define @t2460 () (@list @t2 @t695 @t2452 @t2451 @t2450)) % 1.62/1.90 (define @t2461 () (@var "BOUND_VARIABLE_16638" $$unsorted)) % 1.62/1.90 (define @t2462 () (@var "BOUND_VARIABLE_16636" $$unsorted)) % 1.62/1.90 (define @t2463 () (tptp.subset @t695 (tptp.binintersect @t2462 @t2461))) % 1.62/1.90 (define @t2464 () (not (tptp.subset @t695 @t2461))) % 1.62/1.90 (define @t2465 () (not (tptp.in @t2461 @t2413))) % 1.62/1.90 (define @t2466 () (not (tptp.subset @t695 @t2462))) % 1.62/1.90 (define @t2467 () (not (tptp.in @t2462 @t2413))) % 1.62/1.90 (define @t2468 () (or @t2416 @t2467 @t2466 @t2465 @t2464 @t2463)) % 1.62/1.90 (define @t2469 () (@list @t2 @t695 @t2462 @t2461)) % 1.62/1.90 (define @t2470 () (@var "BOUND_VARIABLE_16579" $$unsorted)) % 1.62/1.90 (define @t2471 () (@var "BOUND_VARIABLE_16577" $$unsorted)) % 1.62/1.90 (define @t2472 () (tptp.subset (tptp.binintersect @t695 @t2471) @t2470)) % 1.62/1.90 (define @t2473 () (not (tptp.subset @t2471 @t2470))) % 1.62/1.90 (define @t2474 () (not (tptp.in @t2470 @t2413))) % 1.62/1.90 (define @t2475 () (not (tptp.in @t2471 @t2413))) % 1.62/1.90 (define @t2476 () (or @t2416 @t2475 @t2474 @t2473 @t2472)) % 1.62/1.90 (define @t2477 () (@list @t2 @t695 @t2471 @t2470)) % 1.62/1.90 (define @t2478 () (@var "BOUND_VARIABLE_16526" $$unsorted)) % 1.62/1.90 (define @t2479 () (@var "BOUND_VARIABLE_16524" $$unsorted)) % 1.62/1.90 (define @t2480 () (tptp.subset (tptp.binintersect @t695 @t2479) @t2478)) % 1.62/1.90 (define @t2481 () (not (tptp.subset @t695 @t2478))) % 1.62/1.90 (define @t2482 () (not (tptp.in @t2478 @t2413))) % 1.62/1.90 (define @t2483 () (not (tptp.in @t2479 @t2413))) % 1.62/1.90 (define @t2484 () (or @t2416 @t2483 @t2482 @t2481 @t2480)) % 1.62/1.90 (define @t2485 () (@list @t2 @t695 @t2479 @t2478)) % 1.62/1.90 (define @t2486 () (@var "BOUND_VARIABLE_16472" $$unsorted)) % 1.62/1.90 (define @t2487 () (tptp.in @t2486 @t2)) % 1.62/1.90 (define @t2488 () (@var "BOUND_VARIABLE_16470" $$unsorted)) % 1.62/1.90 (define @t2489 () (not (tptp.in @t2486 (tptp.binintersect @t695 @t2488)))) % 1.62/1.90 (define @t2490 () (not (tptp.in @t2488 @t2413))) % 1.62/1.90 (define @t2491 () (or @t2416 @t2490 @t2489 @t2487)) % 1.62/1.90 (define @t2492 () (@list @t2 @t695 @t2488 @t2486)) % 1.62/1.90 (define @t2493 () (@var "BOUND_VARIABLE_16426" $$unsorted)) % 1.62/1.90 (define @t2494 () (= (tptp.setminus @t2 (tptp.binunion @t695 @t2493)) (tptp.binintersect @t2409 (tptp.setminus @t2 @t2493)))) % 1.62/1.90 (define @t2495 () (not (tptp.in @t2493 @t2413))) % 1.62/1.90 (define @t2496 () (or @t2416 @t2495 @t2494)) % 1.62/1.90 (define @t2497 () (@list @t2 @t695 @t2493)) % 1.62/1.90 (define @t2498 () (@var "BOUND_VARIABLE_16392" $$unsorted)) % 1.62/1.90 (define @t2499 () (@var "BOUND_VARIABLE_16394" $$unsorted)) % 1.62/1.90 (define @t2500 () (tptp.in @t2499 (tptp.setminus @t2 (tptp.binunion @t695 @t2498)))) % 1.62/1.90 (define @t2501 () (not (tptp.in @t2499 (tptp.binintersect @t2409 (tptp.setminus @t2 @t2498))))) % 1.62/1.90 (define @t2502 () (not (tptp.in @t2499 @t2))) % 1.62/1.90 (define @t2503 () (not (tptp.in @t2498 @t2413))) % 1.62/1.90 (define @t2504 () (or @t2416 @t2503 @t2502 @t2501 @t2500)) % 1.62/1.90 (define @t2505 () (@list @t2 @t695 @t2498 @t2499)) % 1.62/1.90 (define @t2506 () (@var "BOUND_VARIABLE_16336" $$unsorted)) % 1.62/1.90 (define @t2507 () (@var "BOUND_VARIABLE_16338" $$unsorted)) % 1.62/1.90 (define @t2508 () (tptp.in @t2507 (tptp.setminus @t2 (tptp.binunion @t695 @t2506)))) % 1.62/1.90 (define @t2509 () (not (tptp.in @t2507 (tptp.setminus @t2 @t2506)))) % 1.62/1.90 (define @t2510 () (not (tptp.in @t2507 @t2409))) % 1.62/1.90 (define @t2511 () (not (tptp.in @t2507 @t2))) % 1.62/1.90 (define @t2512 () (not (tptp.in @t2506 @t2413))) % 1.62/1.90 (define @t2513 () (or @t2416 @t2512 @t2511 @t2510 @t2509 @t2508)) % 1.62/1.90 (define @t2514 () (@list @t2 @t695 @t2506 @t2507)) % 1.62/1.90 (define @t2515 () (@var "BOUND_VARIABLE_16278" $$unsorted)) % 1.62/1.90 (define @t2516 () (@var "BOUND_VARIABLE_16280" $$unsorted)) % 1.62/1.90 (define @t2517 () (tptp.in @t2516 (tptp.binintersect @t2409 (tptp.setminus @t2 @t2515)))) % 1.62/1.90 (define @t2518 () (not (tptp.in @t2516 (tptp.setminus @t2 (tptp.binunion @t695 @t2515))))) % 1.62/1.90 (define @t2519 () (not (tptp.in @t2516 @t2))) % 1.62/1.90 (define @t2520 () (not (tptp.in @t2515 @t2413))) % 1.62/1.90 (define @t2521 () (or @t2416 @t2520 @t2519 @t2518 @t2517)) % 1.62/1.90 (define @t2522 () (@list @t2 @t695 @t2515 @t2516)) % 1.62/1.90 (define @t2523 () (@var "BOUND_VARIABLE_16226" $$unsorted)) % 1.62/1.90 (define @t2524 () (= (tptp.setminus @t2 (tptp.binintersect @t695 @t2523)) (tptp.binunion @t2409 (tptp.setminus @t2 @t2523)))) % 1.62/1.90 (define @t2525 () (not (tptp.in @t2523 @t2413))) % 1.62/1.90 (define @t2526 () (or @t2416 @t2525 @t2524)) % 1.62/1.90 (define @t2527 () (@list @t2 @t695 @t2523)) % 1.62/1.90 (define @t2528 () (@var "BOUND_VARIABLE_16192" $$unsorted)) % 1.62/1.90 (define @t2529 () (@var "BOUND_VARIABLE_16194" $$unsorted)) % 1.62/1.90 (define @t2530 () (tptp.in @t2529 (tptp.setminus @t2 (tptp.binintersect @t695 @t2528)))) % 1.62/1.90 (define @t2531 () (not (tptp.in @t2529 (tptp.binunion @t2409 (tptp.setminus @t2 @t2528))))) % 1.62/1.90 (define @t2532 () (not (tptp.in @t2529 @t2))) % 1.62/1.90 (define @t2533 () (not (tptp.in @t2528 @t2413))) % 1.62/1.90 (define @t2534 () (or @t2416 @t2533 @t2532 @t2531 @t2530)) % 1.71/1.90 (define @t2535 () (@list @t2 @t695 @t2528 @t2529)) % 1.71/1.90 (define @t2536 () (@var "BOUND_VARIABLE_16137" $$unsorted)) % 1.71/1.90 (define @t2537 () (@var "BOUND_VARIABLE_16139" $$unsorted)) % 1.71/1.90 (define @t2538 () (tptp.in @t2537 (tptp.binunion @t2409 (tptp.setminus @t2 @t2536)))) % 1.71/1.90 (define @t2539 () (not (tptp.in @t2537 (tptp.setminus @t2 (tptp.binintersect @t695 @t2536))))) % 1.71/1.90 (define @t2540 () (not (tptp.in @t2537 @t2))) % 1.71/1.90 (define @t2541 () (not (tptp.in @t2536 @t2413))) % 1.71/1.90 (define @t2542 () (or @t2416 @t2541 @t2540 @t2539 @t2538)) % 1.71/1.90 (define @t2543 () (@list @t2 @t695 @t2536 @t2537)) % 1.71/1.90 (define @t2544 () (@var "BOUND_VARIABLE_16078" $$unsorted)) % 1.71/1.90 (define @t2545 () (@var "BOUND_VARIABLE_16080" $$unsorted)) % 1.71/1.90 (define @t2546 () (tptp.in @t2545 (tptp.setminus @t2 @t2544))) % 1.71/1.90 (define @t2547 () (not (tptp.in @t2545 (tptp.setminus @t2 (tptp.binunion @t695 @t2544))))) % 1.71/1.90 (define @t2548 () (not (tptp.in @t2545 @t2))) % 1.71/1.90 (define @t2549 () (not (tptp.in @t2544 @t2413))) % 1.71/1.90 (define @t2550 () (or @t2416 @t2549 @t2548 @t2547 @t2546)) % 1.71/1.90 (define @t2551 () (@list @t2 @t695 @t2544 @t2545)) % 1.71/1.90 (define @t2552 () (@var "BOUND_VARIABLE_15870" $$unsorted)) % 1.71/1.90 (define @t2553 () (tptp.in @t2552 @t2409)) % 1.71/1.90 (define @t2554 () (@var "BOUND_VARIABLE_15868" $$unsorted)) % 1.71/1.90 (define @t2555 () (not (tptp.in @t2552 (tptp.setminus @t2 (tptp.binunion @t695 @t2554))))) % 1.71/1.90 (define @t2556 () (not (tptp.in @t2552 @t2))) % 1.71/1.90 (define @t2557 () (not (tptp.in @t2554 @t2413))) % 1.71/1.90 (define @t2558 () (or @t2416 @t2557 @t2556 @t2555 @t2553)) % 1.71/1.90 (define @t2559 () (@list @t2 @t695 @t2554 @t2552)) % 1.71/1.90 (define @t2560 () (forall @t2559 @t2558)) % 1.71/1.90 (define @t2561 () (@var "BOUND_VARIABLE_15991" $$unsorted)) % 1.71/1.90 (define @t2562 () (@var "BOUND_VARIABLE_15993" $$unsorted)) % 1.71/1.90 (define @t2563 () (not (tptp.in @t2562 (tptp.binunion @t695 @t2561)))) % 1.71/1.90 (define @t2564 () (tptp.in @t2562 @t2561)) % 1.71/1.90 (define @t2565 () (tptp.in @t2562 @t695)) % 1.71/1.90 (define @t2566 () (not (tptp.in @t2562 @t2))) % 1.71/1.90 (define @t2567 () (not (tptp.in @t2561 @t2413))) % 1.71/1.90 (define @t2568 () (or @t2416 @t2567 @t2566 @t2565 @t2564 @t2563)) % 1.71/1.90 (define @t2569 () (@list @t2 @t695 @t2561 @t2562)) % 1.71/1.90 (define @t2570 () (@var "BOUND_VARIABLE_15938" $$unsorted)) % 1.71/1.90 (define @t2571 () (@var "BOUND_VARIABLE_15940" $$unsorted)) % 1.71/1.90 (define @t2572 () (tptp.in @t2571 @t2570)) % 1.71/1.90 (define @t2573 () (tptp.in @t2571 @t695)) % 1.71/1.90 (define @t2574 () (not (tptp.in @t2571 (tptp.binunion @t695 @t2570)))) % 1.71/1.90 (define @t2575 () (not (tptp.in @t2571 @t2))) % 1.71/1.90 (define @t2576 () (not (tptp.in @t2570 @t2413))) % 1.71/1.90 (define @t2577 () (or @t2416 @t2576 @t2575 @t2574 @t2573 @t2572)) % 1.71/1.90 (define @t2578 () (@list @t2 @t695 @t2570 @t2571)) % 1.71/1.90 (define @t2579 () (@var "BOUND_VARIABLE_15818" $$unsorted)) % 1.71/1.90 (define @t2580 () (not (tptp.in @t2579 @t695))) % 1.71/1.90 (define @t2581 () (@var "BOUND_VARIABLE_15816" $$unsorted)) % 1.71/1.90 (define @t2582 () (not (tptp.in @t2579 (tptp.setminus @t2 (tptp.binunion @t695 @t2581))))) % 1.71/1.90 (define @t2583 () (not (tptp.in @t2579 @t2))) % 1.71/1.90 (define @t2584 () (not (tptp.in @t2581 @t2413))) % 1.71/1.90 (define @t2585 () (or @t2416 @t2584 @t2583 @t2582 @t2580)) % 1.71/1.90 (define @t2586 () (@list @t2 @t695 @t2581 @t2579)) % 1.71/1.90 (define @t2587 () (@var "BOUND_VARIABLE_15697" $$unsorted)) % 1.71/1.90 (define @t2588 () (@var "BOUND_VARIABLE_15695" $$unsorted)) % 1.71/1.90 (define @t2589 () (@var "BOUND_VARIABLE_15699" $$unsorted)) % 1.71/1.90 (define @t2590 () (tptp.in @t2589 (tptp.binintersect (tptp.binunion @t695 @t2587) (tptp.binunion @t2588 @t2587)))) % 1.71/1.90 (define @t2591 () (not (tptp.in @t2589 (tptp.binintersect @t695 @t2588)))) % 1.71/1.90 (define @t2592 () (not (tptp.in @t2589 @t2))) % 1.71/1.90 (define @t2593 () (not (tptp.in @t2587 @t2413))) % 1.71/1.90 (define @t2594 () (not (tptp.in @t2588 @t2413))) % 1.71/1.90 (define @t2595 () (or @t2416 @t2594 @t2593 @t2592 @t2591 @t2590)) % 1.71/1.90 (define @t2596 () (@list @t2 @t695 @t2588 @t2587 @t2589)) % 1.71/1.90 (define @t2597 () (@var "BOUND_VARIABLE_15611" $$unsorted)) % 1.71/1.90 (define @t2598 () (@var "BOUND_VARIABLE_15609" $$unsorted)) % 1.71/1.90 (define @t2599 () (@var "BOUND_VARIABLE_15613" $$unsorted)) % 1.71/1.90 (define @t2600 () (tptp.in @t2599 (tptp.binunion @t2598 @t2597))) % 1.71/1.90 (define @t2601 () (not (tptp.in @t2599 (tptp.binintersect @t695 @t2598)))) % 1.71/1.90 (define @t2602 () (not (tptp.in @t2599 @t2))) % 1.71/1.90 (define @t2603 () (not (tptp.in @t2597 @t2413))) % 1.71/1.90 (define @t2604 () (not (tptp.in @t2598 @t2413))) % 1.71/1.90 (define @t2605 () (or @t2416 @t2604 @t2603 @t2602 @t2601 @t2600)) % 1.71/1.90 (define @t2606 () (@list @t2 @t695 @t2598 @t2597 @t2599)) % 1.71/1.90 (define @t2607 () (@var "BOUND_VARIABLE_15529" $$unsorted)) % 1.71/1.90 (define @t2608 () (@var "BOUND_VARIABLE_15531" $$unsorted)) % 1.71/1.90 (define @t2609 () (tptp.in @t2608 (tptp.binunion @t695 @t2607))) % 1.71/1.90 (define @t2610 () (@var "BOUND_VARIABLE_15527" $$unsorted)) % 1.71/1.90 (define @t2611 () (not (tptp.in @t2608 (tptp.binintersect @t695 @t2610)))) % 1.71/1.90 (define @t2612 () (not (tptp.in @t2608 @t2))) % 1.71/1.90 (define @t2613 () (not (tptp.in @t2607 @t2413))) % 1.71/1.90 (define @t2614 () (not (tptp.in @t2610 @t2413))) % 1.71/1.90 (define @t2615 () (or @t2416 @t2614 @t2613 @t2612 @t2611 @t2609)) % 1.71/1.90 (define @t2616 () (@list @t2 @t695 @t2610 @t2607 @t2608)) % 1.71/1.90 (define @t2617 () (@var "BOUND_VARIABLE_15446" $$unsorted)) % 1.71/1.90 (define @t2618 () (@var "BOUND_VARIABLE_15448" $$unsorted)) % 1.71/1.90 (define @t2619 () (not (tptp.in @t2618 @t2617))) % 1.71/1.90 (define @t2620 () (tptp.in @t2618 (tptp.binunion @t695 @t2617))) % 1.71/1.90 (define @t2621 () (not (tptp.in @t2618 @t2))) % 1.71/1.90 (define @t2622 () (not (tptp.in @t2617 @t2413))) % 1.71/1.90 (define @t2623 () (or @t2416 @t2622 @t2621 @t2620 @t2619)) % 1.71/1.90 (define @t2624 () (@list @t2 @t695 @t2617 @t2618)) % 1.71/1.90 (define @t2625 () (@var "BOUND_VARIABLE_15398" $$unsorted)) % 1.71/1.90 (define @t2626 () (not (tptp.in @t2625 @t695))) % 1.71/1.90 (define @t2627 () (@var "BOUND_VARIABLE_15396" $$unsorted)) % 1.71/1.90 (define @t2628 () (tptp.in @t2625 (tptp.binunion @t695 @t2627))) % 1.71/1.90 (define @t2629 () (not (tptp.in @t2625 @t2))) % 1.71/1.90 (define @t2630 () (not (tptp.in @t2627 @t2413))) % 1.71/1.90 (define @t2631 () (or @t2416 @t2630 @t2629 @t2628 @t2626)) % 1.71/1.90 (define @t2632 () (@list @t2 @t695 @t2627 @t2625)) % 1.71/1.90 (define @t2633 () (@var "BOUND_VARIABLE_15315" $$unsorted)) % 1.71/1.90 (define @t2634 () (tptp.in @t2633 @t2409)) % 1.71/1.90 (define @t2635 () (@var "BOUND_VARIABLE_15313" $$unsorted)) % 1.71/1.90 (define @t2636 () (not (tptp.in @t2633 @t2635))) % 1.71/1.90 (define @t2637 () (not (tptp.in @t2633 @t2))) % 1.71/1.90 (define @t2638 () (not (tptp.subset @t695 (tptp.setminus @t2 @t2635)))) % 1.71/1.90 (define @t2639 () (not (tptp.in @t2635 @t2413))) % 1.71/1.90 (define @t2640 () (or @t2416 @t2639 @t2638 @t2637 @t2636 @t2634)) % 1.71/1.90 (define @t2641 () (@list @t2 @t695 @t2635 @t2633)) % 1.71/1.90 (define @t2642 () (@var "BOUND_VARIABLE_15236" $$unsorted)) % 1.71/1.90 (define @t2643 () (tptp.subset @t2409 (tptp.setminus @t2 (tptp.binintersect @t695 @t2642)))) % 1.71/1.90 (define @t2644 () (not (tptp.in @t2642 @t2413))) % 1.71/1.90 (define @t2645 () (or @t2416 @t2644 @t2643)) % 1.71/1.90 (define @t2646 () (@list @t2 @t695 @t2642)) % 1.71/1.90 (define @t2647 () (@var "BOUND_VARIABLE_15202" $$unsorted)) % 1.71/1.90 (define @t2648 () (@var "BOUND_VARIABLE_15204" $$unsorted)) % 1.71/1.90 (define @t2649 () (tptp.in @t2648 (tptp.setminus @t2 (tptp.binintersect @t695 @t2647)))) % 1.71/1.90 (define @t2650 () (not (tptp.in @t2648 @t2409))) % 1.71/1.90 (define @t2651 () (not (tptp.in @t2648 @t2))) % 1.71/1.90 (define @t2652 () (not (tptp.in @t2647 @t2413))) % 1.71/1.90 (define @t2653 () (or @t2416 @t2652 @t2651 @t2650 @t2649)) % 1.71/1.90 (define @t2654 () (@list @t2 @t695 @t2647 @t2648)) % 1.71/1.90 (define @t2655 () (@var "BOUND_VARIABLE_15147" $$unsorted)) % 1.71/1.90 (define @t2656 () (@var "BOUND_VARIABLE_15149" $$unsorted)) % 1.71/1.90 (define @t2657 () (not (tptp.in @t2656 (tptp.binintersect @t695 @t2655)))) % 1.71/1.90 (define @t2658 () (not (tptp.in @t2656 @t2409))) % 1.71/1.90 (define @t2659 () (not (tptp.in @t2656 @t2))) % 1.71/1.90 (define @t2660 () (not (tptp.in @t2655 @t2413))) % 1.71/1.90 (define @t2661 () (or @t2416 @t2660 @t2659 @t2658 @t2657)) % 1.71/1.90 (define @t2662 () (@list @t2 @t695 @t2655 @t2656)) % 1.71/1.90 (define @t2663 () (tptp.setminus @t2 @t2409)) % 1.71/1.90 (define @t2664 () (tptp.subset @t2663 @t695)) % 1.71/1.90 (define @t2665 () (tptp.subset @t695 @t2663)) % 1.71/1.90 (define @t2666 () (@var "BOUND_VARIABLE_15077" $$unsorted)) % 1.71/1.90 (define @t2667 () (tptp.in @t2666 @t695)) % 1.71/1.90 (define @t2668 () (not (tptp.in @t2666 @t2663))) % 1.71/1.90 (define @t2669 () (not (tptp.in @t2666 @t2))) % 1.71/1.90 (define @t2670 () (or @t2416 @t2669 @t2668 @t2667)) % 1.71/1.90 (define @t2671 () (@list @t2 @t695 @t2666)) % 1.71/1.90 (define @t2672 () (@var "BOUND_VARIABLE_15049" $$unsorted)) % 1.71/1.90 (define @t2673 () (tptp.in @t2672 @t2663)) % 1.71/1.90 (define @t2674 () (not (tptp.in @t2672 @t695))) % 1.71/1.90 (define @t2675 () (not (tptp.in @t2672 @t2))) % 1.71/1.90 (define @t2676 () (or @t2416 @t2675 @t2674 @t2673)) % 1.71/1.90 (define @t2677 () (@list @t2 @t695 @t2672)) % 1.71/1.90 (define @t2678 () (@var "BOUND_VARIABLE_15018" $$unsorted)) % 1.71/1.90 (define @t2679 () (tptp.subset @t695 @t2678)) % 1.71/1.90 (define @t2680 () (not (tptp.subset (tptp.setminus @t2 @t2678) @t2409))) % 1.71/1.90 (define @t2681 () (not (tptp.in @t2678 @t2413))) % 1.71/1.90 (define @t2682 () (or @t2416 @t2681 @t2680 @t2679)) % 1.71/1.90 (define @t2683 () (@list @t2 @t695 @t2678)) % 1.71/1.90 (define @t2684 () (@var "BOUND_VARIABLE_14989" $$unsorted)) % 1.71/1.90 (define @t2685 () (tptp.subset (tptp.setminus @t2 @t2684) @t2409)) % 1.71/1.90 (define @t2686 () (not (tptp.subset @t695 @t2684))) % 1.71/1.90 (define @t2687 () (not (tptp.in @t2684 @t2413))) % 1.71/1.90 (define @t2688 () (or @t2416 @t2687 @t2686 @t2685)) % 1.71/1.90 (define @t2689 () (@list @t2 @t695 @t2684)) % 1.71/1.90 (define @t2690 () (@var "BOUND_VARIABLE_14956" $$unsorted)) % 1.71/1.90 (define @t2691 () (not (tptp.in @t2690 @t695))) % 1.71/1.90 (define @t2692 () (@var "BOUND_VARIABLE_14954" $$unsorted)) % 1.71/1.90 (define @t2693 () (tptp.in @t2690 @t2692)) % 1.71/1.90 (define @t2694 () (not (tptp.in @t2690 @t2))) % 1.71/1.90 (define @t2695 () (not (tptp.subset @t695 @t2692))) % 1.71/1.90 (define @t2696 () (not (tptp.in @t2692 @t2413))) % 1.71/1.90 (define @t2697 () (or @t2416 @t2696 @t2695 @t2694 @t2693 @t2691)) % 1.71/1.90 (define @t2698 () (@list @t2 @t695 @t2692 @t2690)) % 1.71/1.90 (define @t2699 () (@var "BOUND_VARIABLE_14896" $$unsorted)) % 1.71/1.90 (define @t2700 () (not (tptp.in @t2699 @t695))) % 1.71/1.90 (define @t2701 () (@var "BOUND_VARIABLE_14894" $$unsorted)) % 1.71/1.90 (define @t2702 () (not (tptp.in @t2699 @t2701))) % 1.71/1.90 (define @t2703 () (not (tptp.in @t2699 @t2))) % 1.71/1.90 (define @t2704 () (not (tptp.subset @t695 (tptp.setminus @t2 @t2701)))) % 1.71/1.90 (define @t2705 () (not (tptp.in @t2701 @t2413))) % 1.71/1.90 (define @t2706 () (or @t2416 @t2705 @t2704 @t2703 @t2702 @t2700)) % 1.71/1.90 (define @t2707 () (@list @t2 @t695 @t2701 @t2699)) % 1.71/1.90 (define @t2708 () (@var "BOUND_VARIABLE_14833" $$unsorted)) % 1.71/1.90 (define @t2709 () (@var "BOUND_VARIABLE_14835" $$unsorted)) % 1.71/1.90 (define @t2710 () (not (tptp.in @t2709 (tptp.binintersect @t695 @t2708)))) % 1.71/1.90 (define @t2711 () (tptp.in @t2709 @t2708)) % 1.71/1.90 (define @t2712 () (not (tptp.in @t2709 @t2))) % 1.71/1.90 (define @t2713 () (not (tptp.in @t2708 @t2413))) % 1.71/1.90 (define @t2714 () (or @t2416 @t2713 @t2712 @t2711 @t2710)) % 1.71/1.90 (define @t2715 () (@list @t2 @t695 @t2708 @t2709)) % 1.71/1.90 (define @t2716 () (@var "BOUND_VARIABLE_14783" $$unsorted)) % 1.71/1.90 (define @t2717 () (@var "BOUND_VARIABLE_14785" $$unsorted)) % 1.71/1.90 (define @t2718 () (not (tptp.in @t2717 (tptp.binintersect @t695 @t2716)))) % 1.71/1.90 (define @t2719 () (tptp.in @t2717 @t695)) % 1.71/1.90 (define @t2720 () (not (tptp.in @t2717 @t2))) % 1.71/1.90 (define @t2721 () (not (tptp.in @t2716 @t2413))) % 1.71/1.90 (define @t2722 () (or @t2416 @t2721 @t2720 @t2719 @t2718)) % 1.71/1.90 (define @t2723 () (@list @t2 @t695 @t2716 @t2717)) % 1.71/1.90 (define @t2724 () (@var "BOUND_VARIABLE_14736" $$unsorted)) % 1.71/1.90 (define @t2725 () (tptp.in @t2724 @t695)) % 1.71/1.90 (define @t2726 () (tptp.in @t2724 @t2409)) % 1.71/1.90 (define @t2727 () (not (tptp.in @t2724 @t2))) % 1.71/1.90 (define @t2728 () (or @t2416 @t2727 @t2726 @t2725)) % 1.71/1.90 (define @t2729 () (@list @t2 @t695 @t2724)) % 1.71/1.90 (define @t2730 () (@var "BOUND_VARIABLE_14709" $$unsorted)) % 1.71/1.90 (define @t2731 () (not (tptp.in @t2730 @t2409))) % 1.71/1.90 (define @t2732 () (not (tptp.in @t2730 @t695))) % 1.71/1.90 (define @t2733 () (not (tptp.in @t2730 @t2))) % 1.71/1.90 (define @t2734 () (or @t2416 @t2733 @t2732 @t2731)) % 1.71/1.90 (define @t2735 () (@list @t2 @t695 @t2730)) % 1.71/1.90 (define @t2736 () (@var "BOUND_VARIABLE_14673" $$unsorted)) % 1.71/1.90 (define @t2737 () (@var "BOUND_VARIABLE_14675" $$unsorted)) % 1.71/1.90 (define @t2738 () (tptp.in @t2737 @t2736)) % 1.71/1.90 (define @t2739 () (not (tptp.in @t2737 @t695))) % 1.71/1.90 (define @t2740 () (not (tptp.in @t2737 @t2))) % 1.71/1.90 (define @t2741 () (not (tptp.in @t695 (tptp.powerset @t2736)))) % 1.71/1.90 (define @t2742 () (not (tptp.in @t2736 @t2413))) % 1.71/1.90 (define @t2743 () (or @t2416 @t2742 @t2741 @t2740 @t2739 @t2738)) % 1.71/1.90 (define @t2744 () (@list @t2 @t695 @t2736 @t2737)) % 1.71/1.90 (define @t2745 () (@var "BOUND_VARIABLE_14623" $$unsorted)) % 1.71/1.90 (define @t2746 () (tptp.in @t695 (tptp.powerset @t2745))) % 1.71/1.90 (define @t2747 () (tptp.in @t4 @t695)) % 1.71/1.90 (define @t2748 () (not @t2747)) % 1.71/1.90 (define @t2749 () (not (forall @t9 (or @t2357 @t2748 (tptp.in @t4 @t2745))))) % 1.71/1.90 (define @t2750 () (not (tptp.in @t2745 @t2413))) % 1.71/1.90 (define @t2751 () (or @t2416 @t2750 @t2749 @t2746)) % 1.71/1.90 (define @t2752 () (@list @t2 @t695 @t2745)) % 1.71/1.90 (define @t2753 () (@var "BOUND_VARIABLE_14589" $$unsorted)) % 1.71/1.90 (define @t2754 () (tptp.subset @t695 @t2753)) % 1.71/1.90 (define @t2755 () (not (forall @t9 (or @t2357 @t2748 (tptp.in @t4 @t2753))))) % 1.71/1.90 (define @t2756 () (not (tptp.in @t2753 @t2413))) % 1.71/1.90 (define @t2757 () (or @t2416 @t2756 @t2755 @t2754)) % 1.71/1.90 (define @t2758 () (@list @t2 @t695 @t2753)) % 1.71/1.90 (define @t2759 () (@var "BOUND_VARIABLE_14553" $$unsorted)) % 1.71/1.90 (define @t2760 () (= @t695 @t2759)) % 1.71/1.90 (define @t2761 () (tptp.in @t4 @t2759)) % 1.71/1.90 (define @t2762 () (not (forall @t9 (or @t2357 (not @t2761) @t2747)))) % 1.71/1.90 (define @t2763 () (not (forall @t9 (or @t2357 @t2748 @t2761)))) % 1.71/1.90 (define @t2764 () (not (tptp.in @t2759 @t2413))) % 1.71/1.90 (define @t2765 () (or @t2416 @t2764 @t2763 @t2762 @t2760)) % 1.71/1.90 (define @t2766 () (@list @t2 @t695 @t2759)) % 1.71/1.90 (define @t2767 () (tptp.in @t2409 @t2413)) % 1.71/1.90 (define @t2768 () (@var "BOUND_VARIABLE_14499" $$unsorted)) % 1.71/1.90 (define @t2769 () (tptp.in (tptp.setminus @t695 @t2768) @t2413)) % 1.71/1.90 (define @t2770 () (not (tptp.in @t2768 @t2413))) % 1.71/1.90 (define @t2771 () (or @t2416 @t2770 @t2769)) % 1.71/1.90 (define @t2772 () (@list @t2 @t695 @t2768)) % 1.71/1.90 (define @t2773 () (tptp.powerset @t2413)) % 1.71/1.90 (define @t2774 () (tptp.powerset @t695)) % 1.71/1.90 (define @t2775 () (tptp.in @t2774 @t2773)) % 1.71/1.90 (define @t2776 () (@var "BOUND_VARIABLE_14459" $$unsorted)) % 1.71/1.90 (define @t2777 () (tptp.in (tptp.binunion @t695 @t2776) @t2413)) % 1.71/1.90 (define @t2778 () (not (tptp.in @t2776 @t2413))) % 1.71/1.90 (define @t2779 () (or @t2416 @t2778 @t2777)) % 1.71/1.90 (define @t2780 () (@list @t2 @t695 @t2776)) % 1.71/1.90 (define @t2781 () (@var "BOUND_VARIABLE_14431" $$unsorted)) % 1.71/1.90 (define @t2782 () (tptp.in (tptp.binintersect @t695 @t2781) @t2413)) % 1.71/1.90 (define @t2783 () (not (tptp.in @t2781 @t2413))) % 1.71/1.90 (define @t2784 () (or @t2416 @t2783 @t2782)) % 1.71/1.90 (define @t2785 () (@list @t2 @t695 @t2781)) % 1.71/1.90 (define @t2786 () (@var "BOUND_VARIABLE_14393" $$unsorted)) % 1.71/1.90 (define @t2787 () (tptp.in (tptp.if @t2 @t173 @t4 @t2786) (tptp.setadjoin @t4 (tptp.setadjoin @t2786 tptp.emptyset)))) % 1.71/1.90 (define @t2788 () (not (tptp.in @t2786 @t2))) % 1.71/1.90 (define @t2789 () (or @t2357 @t2788 @t2787)) % 1.71/1.90 (define @t2790 () (@list @t2 @t173 @t4 @t2786)) % 1.71/1.90 (define @t2791 () (@var "BOUND_VARIABLE_14360" $$unsorted)) % 1.71/1.90 (define @t2792 () (= @t2791 (tptp.if @t2 false @t4 @t2791))) % 1.71/1.90 (define @t2793 () (not (tptp.in @t2791 @t2))) % 1.71/1.90 (define @t2794 () (or @t2357 @t2793 @t2792)) % 1.71/1.90 (define @t2795 () (@list @t2 @t4 @t2791)) % 1.71/1.90 (define @t2796 () (@var "BOUND_VARIABLE_14318" $$unsorted)) % 1.71/1.90 (define @t2797 () (= @t4 (tptp.if @t2 true @t4 @t2796))) % 1.71/1.90 (define @t2798 () (not (tptp.in @t2796 @t2))) % 1.71/1.90 (define @t2799 () (or @t2357 @t2798 @t2797)) % 1.71/1.90 (define @t2800 () (@list @t2 @t4 @t2796)) % 1.71/1.90 (define @t2801 () (@var "BOUND_VARIABLE_14283" $$unsorted)) % 1.71/1.90 (define @t2802 () (tptp.setunion @t695)) % 1.71/1.90 (define @t2803 () (not (tptp.in @t2801 @t695))) % 1.71/1.90 (define @t2804 () (tptp.singleton @t695)) % 1.71/1.90 (define @t2805 () (not @t2804)) % 1.71/1.90 (define @t2806 () (@list @t695 @t2801)) % 1.71/1.90 (define @t2807 () (@var "BOUND_VARIABLE_14255" $$unsorted)) % 1.71/1.90 (define @t2808 () (tptp.in (tptp.if @t2 @t173 @t4 @t2807) @t2)) % 1.71/1.90 (define @t2809 () (not (tptp.in @t2807 @t2))) % 1.71/1.90 (define @t2810 () (or @t2357 @t2809 @t2808)) % 1.71/1.90 (define @t2811 () (@list @t2 @t173 @t4 @t2807)) % 1.71/1.90 (define @t2812 () (@var "BOUND_VARIABLE_14216" $$unsorted)) % 1.71/1.90 (define @t2813 () (and @t173 @t745)) % 1.71/1.90 (define @t2814 () (not (tptp.in @t2812 @t2))) % 1.71/1.90 (define @t2815 () (@list @t2 @t173 @t4 @t2812)) % 1.71/1.90 (define @t2816 () (tptp.dsetconstr @t2 (lambda @t1068 @t745))) % 1.71/1.90 (define @t2817 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.71/1.90 (define @t2818 () (= @t2817 @t2816)) % 1.71/1.90 (define @t2819 () (@var "BOUND_VARIABLE_14163" $$unsorted)) % 1.71/1.90 (define @t2820 () (not (tptp.in @t2819 @t2))) % 1.71/1.90 (define @t2821 () (or @t2357 @t2820 @t2818)) % 1.71/1.90 (define @t2822 () (@list @t2 @t4 @t2819)) % 1.71/1.90 (define @t2823 () (tptp.in @t4 @t2816)) % 1.71/1.90 (define @t2824 () (@var "BOUND_VARIABLE_14100" $$unsorted)) % 1.71/1.90 (define @t2825 () (not (tptp.in @t2824 @t2))) % 1.71/1.90 (define @t2826 () (or @t2357 @t2825 @t2823)) % 1.71/1.90 (define @t2827 () (@list @t2 @t4 @t2824)) % 1.71/1.90 (define @t2828 () (@var "BOUND_VARIABLE_14037" $$unsorted)) % 1.71/1.90 (define @t2829 () (= @t289 @t2828)) % 1.71/1.90 (define @t2830 () (tptp.setadjoin @t2828 tptp.emptyset)) % 1.71/1.90 (define @t2831 () (not (tptp.in @t2828 @t2))) % 1.71/1.90 (define @t2832 () (@list @t2 @t4 @t2828)) % 1.71/1.90 (define @t2833 () (@var "BOUND_VARIABLE_13974" $$unsorted)) % 1.71/1.90 (define @t2834 () (= @t289 @t2833)) % 1.71/1.90 (define @t2835 () (not (tptp.in @t2833 @t2))) % 1.71/1.90 (define @t2836 () (@list @t2 @t4 @t2833)) % 1.71/1.90 (define @t2837 () (tptp.ap @t2 @t1 @t882 @t4)) % 1.71/1.90 (define @t2838 () (lambda @t9 @t2837)) % 1.71/1.90 (define @t2839 () (tptp.lam @t2 @t1 @t2838)) % 1.71/1.90 (define @t2840 () (= @t882 @t2839)) % 1.71/1.90 (define @t2841 () (@var "BOUND_VARIABLE_13903" $$unsorted)) % 1.71/1.90 (define @t2842 () (tptp.lam @t2 @t1 @t918)) % 1.71/1.90 (define @t2843 () (= (_ @t918 @t2841) (tptp.ap @t2 @t1 @t2842 @t2841))) % 1.71/1.90 (define @t2844 () (not (tptp.in @t2841 @t2))) % 1.71/1.90 (define @t2845 () (_ @t918 @t4)) % 1.71/1.90 (define @t2846 () (tptp.in @t2845 @t1)) % 1.71/1.90 (define @t2847 () (forall @t9 (or @t2357 @t2846))) % 1.71/1.90 (define @t2848 () (not @t2847)) % 1.71/1.90 (define @t2849 () (or @t2848 @t2844 @t2843)) % 1.71/1.90 (define @t2850 () (@list @t2 @t1 @t918 @t2841)) % 1.71/1.90 (define @t2851 () (forall @t2850 @t2849)) % 1.71/1.90 (define @t2852 () (=> @t2851 (=> (forall @t891 (or @t2194 @t2840)) (=> (forall @t2836 (or @t2357 @t2835 (tptp.in @t2833 (tptp.dsetconstr @t2 (lambda @t1068 @t2834))))) (=> (forall @t2832 (or @t2357 @t2831 (= @t2830 (tptp.dsetconstr @t2 (lambda @t1068 @t2829))))) (=> (forall @t2827 @t2826) (=> (forall @t2822 @t2821) (=> (forall @t2815 (or @t2357 @t2814 (tptp.singleton (tptp.dsetconstr @t2 (lambda @t1068 (or @t2813 (and @t1064 (= @t289 @t2812)))))))) (=> (forall @t2811 @t2810) (=> (forall @t2806 (or @t2805 @t2803 (= @t2802 @t2801))) (=> (forall @t2800 @t2799) (=> (forall @t2795 @t2794) (=> (forall @t2790 @t2789) (=> (forall @t2785 @t2784) (=> (forall @t2780 @t2779) (=> (forall @t1142 (or @t2416 @t2775)) (=> (forall @t2772 @t2771) (=> (forall @t1142 (or @t2416 @t2767)) (=> (forall @t2766 @t2765) (=> (forall @t2758 @t2757) (=> (forall @t2752 @t2751) (=> (forall @t2744 @t2743) (=> (forall @t2735 @t2734) (=> (forall @t2729 @t2728) (=> (forall @t2723 @t2722) (=> (forall @t2715 @t2714) (=> (forall @t2707 @t2706) (=> (forall @t2698 @t2697) (=> (forall @t2689 @t2688) (=> (forall @t2683 @t2682) (=> (forall @t2677 @t2676) (=> (forall @t2671 @t2670) (=> (forall @t1142 (or @t2416 @t2665)) (=> (forall @t1142 (or @t2416 @t2664)) (=> (forall @t1142 (or @t2416 (= @t695 @t2663))) (=> (forall @t2662 @t2661) (=> (forall @t2654 @t2653) (=> (forall @t2646 @t2645) (=> @t2449 (=> (forall @t2641 @t2640) (=> @t2426 (=> (forall @t2632 @t2631) (=> (forall @t2624 @t2623) (=> (forall @t2616 @t2615) (=> (forall @t2606 @t2605) (=> (forall @t2596 @t2595) (=> @t2434 (=> (forall @t2586 @t2585) (=> @t2560 (=> (forall @t2578 @t2577) (=> (forall @t2569 @t2568) (=> @t2560 (=> @t2419 (=> (forall @t2551 @t2550) (=> (forall @t2543 @t2542) (=> (forall @t2535 @t2534) (=> (forall @t2527 @t2526) (=> (forall @t2522 @t2521) (=> (forall @t2514 @t2513) (=> (forall @t2505 @t2504) (=> (forall @t2497 @t2496) (=> (forall @t2492 @t2491) (=> (forall @t2485 @t2484) (=> (forall @t2477 @t2476) (=> (forall @t2469 @t2468) (=> (forall @t2460 @t2459) (=> @t2449 (=> (forall @t2443 @t2442) (=> @t2434 (=> @t2426 (=> @t2419 (=> @t2387 (=> (forall @t1561 (or (not @t2408) @t2229)) (=> (forall @t2406 @t2405) (=> (forall @t1597 (tptp.breln1 @t2 (tptp.dpsetconstr @t2 @t2 @t67))) (=> @t2387 (=> (forall @t2374 @t2373) (=> (forall @t2368 @t2367) (=> (forall @t1561 (or @t2230 @t2349)) (=> (forall @t2348 @t2347) (=> (forall @t2340 @t2339) (=> (forall @t2332 @t2331) (=> (forall @t2327 @t2326) (=> @t2314 (=> @t2314 (=> (forall @t2301 @t2300) (=> (forall @t2296 @t2295) (=> (forall @t2285 @t2284) (=> (forall @t2274 @t2273) (=> @t2263 (=> @t2263 (=> (forall @t2250 @t2249) (=> (forall @t1561 (or @t2230 (= @t938 @t2245))) (=> (forall @t2244 @t2243) (=> (forall @t2239 @t2238) (=> (forall @t2232 @t2231) (=> (forall @t1804 @t2221) (=> (forall @t1804 (not (forall @t9 (or @t2218 (not (forall @t70 (or (not (forall @t2213 (= @t2212 @t2211))) @t129))))))) (=> (forall @t1813 (= @t2204 @t2205)) (=> (forall @t1813 (or (not @t2205) @t2204)) (=> (forall @t2201 @t2200) (=> (forall @t891 (or @t2194 (not @t2193) @t2192)) (=> (forall @t891 (or (not @t2192) @t2169)) (=> (forall @t1833 (or (not @t2190) @t2188)) @t2187)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.71/1.90 (define @t2853 () (tptp.func @t2 @t1 @t882)) % 1.71/1.90 (define @t2854 () (not @t2853)) % 1.71/1.90 (define @t2855 () (forall @t891 (or @t2854 @t2840))) % 1.71/1.90 (define @t2856 () (@var "BOUND_VARIABLE_13854" $$unsorted)) % 1.71/1.90 (define @t2857 () (= @t882 @t2856)) % 1.71/1.90 (define @t2858 () (not (forall @t9 (or @t2357 (= @t2837 (tptp.ap @t2 @t1 @t2856 @t4)))))) % 1.71/1.90 (define @t2859 () (not (tptp.in @t2856 @t2168))) % 1.71/1.90 (define @t2860 () (or @t2194 @t2859 @t2858 @t2857)) % 1.71/1.90 (define @t2861 () (@list @t2 @t1 @t882 @t2856)) % 1.71/1.90 (define @t2862 () (forall @t2861 @t2860)) % 1.71/1.90 (define @t2863 () (@var "BOUND_VARIABLE_13820" $$unsorted)) % 1.71/1.90 (define @t2864 () (= @t882 @t2863)) % 1.71/1.90 (define @t2865 () (not (forall @t9 (or @t2357 (= @t2837 (tptp.ap @t2 @t1 @t2863 @t4)))))) % 1.71/1.90 (define @t2866 () (not (tptp.func @t2 @t1 @t2863))) % 1.71/1.90 (define @t2867 () (or @t2854 @t2866 @t2865 @t2864)) % 1.71/1.90 (define @t2868 () (@list @t2 @t1 @t882 @t2863)) % 1.71/1.90 (define @t2869 () (forall @t2868 @t2867)) % 1.71/1.90 (define @t2870 () (@var "BOUND_VARIABLE_13784" $$unsorted)) % 1.71/1.90 (define @t2871 () (= @t938 @t2870)) % 1.71/1.90 (define @t2872 () (@var "BOUND_VARIABLE_13753" $$unsorted)) % 1.71/1.90 (define @t2873 () (tptp.kpair @t4 @t2872)) % 1.71/1.90 (define @t2874 () (tptp.in @t2873 @t938)) % 1.71/1.90 (define @t2875 () (not (tptp.in @t2872 @t1))) % 1.71/1.90 (define @t2876 () (@list @t4 @t2872)) % 1.71/1.90 (define @t2877 () (not (forall @t2876 (or @t2357 @t2875 (not (tptp.in @t2873 @t2870)) @t2874)))) % 1.71/1.90 (define @t2878 () (@var "BOUND_VARIABLE_13690" $$unsorted)) % 1.71/1.90 (define @t2879 () (tptp.kpair @t4 @t2878)) % 1.71/1.90 (define @t2880 () (not (tptp.in @t2879 @t938))) % 1.71/1.90 (define @t2881 () (not (tptp.in @t2878 @t1))) % 1.71/1.90 (define @t2882 () (@list @t4 @t2878)) % 1.71/1.90 (define @t2883 () (not (forall @t2882 (or @t2357 @t2881 @t2880 (tptp.in @t2879 @t2870))))) % 1.71/1.90 (define @t2884 () (not (tptp.breln @t2 @t1 @t2870))) % 1.71/1.90 (define @t2885 () (tptp.breln @t2 @t1 @t938)) % 1.71/1.90 (define @t2886 () (not @t2885)) % 1.71/1.90 (define @t2887 () (or @t2886 @t2884 @t2883 @t2877 @t2871)) % 1.71/1.90 (define @t2888 () (@list @t2 @t1 @t938 @t2870)) % 1.71/1.90 (define @t2889 () (forall @t2888 @t2887)) % 1.71/1.90 (define @t2890 () (@var "BOUND_VARIABLE_13723" $$unsorted)) % 1.71/1.90 (define @t2891 () (tptp.subset @t938 @t2890)) % 1.71/1.90 (define @t2892 () (not (forall @t2882 (or @t2357 @t2881 @t2880 (tptp.in @t2879 @t2890))))) % 1.71/1.90 (define @t2893 () (not (tptp.breln @t2 @t1 @t2890))) % 1.71/1.90 (define @t2894 () (or @t2886 @t2893 @t2892 @t2891)) % 1.71/1.90 (define @t2895 () (@list @t2 @t1 @t938 @t2890)) % 1.71/1.90 (define @t2896 () (forall @t2895 @t2894)) % 1.71/1.90 (define @t2897 () (@var "BOUND_VARIABLE_13654" $$unsorted)) % 1.71/1.90 (define @t2898 () (tptp.ap @t2 @t1 @t882 @t2897)) % 1.71/1.90 (define @t2899 () (@var "BOUND_VARIABLE_13656" $$unsorted)) % 1.71/1.90 (define @t2900 () (not (tptp.in (tptp.kpair @t2897 @t2899) @t882))) % 1.71/1.90 (define @t2901 () (not (tptp.in @t2899 @t1))) % 1.71/1.90 (define @t2902 () (not (tptp.in @t2897 @t2))) % 1.71/1.90 (define @t2903 () (@list @t2 @t1 @t882 @t2897 @t2899)) % 1.71/1.90 (define @t2904 () (forall @t2903 (or @t2194 @t2902 @t2901 @t2900 (= @t2899 @t2898)))) % 1.71/1.90 (define @t2905 () (@var "BOUND_VARIABLE_13623" $$unsorted)) % 1.71/1.90 (define @t2906 () (@var "BOUND_VARIABLE_13621" $$unsorted)) % 1.71/1.90 (define @t2907 () (tptp.kpair @t2906 @t2905)) % 1.71/1.90 (define @t2908 () (tptp.in @t2907 @t882)) % 1.71/1.90 (define @t2909 () (@var "BOUND_VARIABLE_13619" $$unsorted)) % 1.71/1.90 (define @t2910 () (not (tptp.in @t2907 @t2909))) % 1.71/1.90 (define @t2911 () (not (tptp.in @t2905 @t1))) % 1.71/1.90 (define @t2912 () (not (tptp.in @t2906 @t2))) % 1.71/1.90 (define @t2913 () (not (forall @t9 (or @t2357 (= @t2837 (tptp.ap @t2 @t1 @t2909 @t4)))))) % 1.71/1.90 (define @t2914 () (not (tptp.func @t2 @t1 @t2909))) % 1.71/1.90 (define @t2915 () (or @t2854 @t2914 @t2913 @t2912 @t2911 @t2910 @t2908)) % 1.71/1.90 (define @t2916 () (@list @t2 @t1 @t882 @t2909 @t2906 @t2905)) % 1.71/1.90 (define @t2917 () (forall @t2916 @t2915)) % 1.71/1.90 (define @t2918 () (@var "BOUND_VARIABLE_13525" $$unsorted)) % 1.71/1.90 (define @t2919 () (tptp.ap @t2 @t1 @t882 @t2918)) % 1.71/1.90 (define @t2920 () (@var "BOUND_VARIABLE_13527" $$unsorted)) % 1.71/1.90 (define @t2921 () (not (tptp.in (tptp.kpair @t2918 @t2920) @t882))) % 1.71/1.90 (define @t2922 () (not (tptp.in @t2920 @t1))) % 1.71/1.90 (define @t2923 () (not (tptp.in @t2918 @t2))) % 1.71/1.90 (define @t2924 () (@list @t2 @t1 @t882 @t2918 @t2920)) % 1.71/1.90 (define @t2925 () (forall @t2924 (or @t2854 @t2923 @t2922 @t2921 (= @t2920 @t2919)))) % 1.71/1.90 (define @t2926 () (@var "BOUND_VARIABLE_13470" $$unsorted)) % 1.71/1.90 (define @t2927 () (tptp.in (tptp.kpair @t2926 (tptp.ap @t2 @t1 @t882 @t2926)) @t882)) % 1.71/1.90 (define @t2928 () (not (tptp.in @t2926 @t2))) % 1.71/1.90 (define @t2929 () (or @t2194 @t2928 @t2927)) % 1.71/1.90 (define @t2930 () (@list @t2 @t1 @t882 @t2926)) % 1.71/1.90 (define @t2931 () (forall @t2930 @t2929)) % 1.71/1.90 (define @t2932 () (@var "BOUND_VARIABLE_13449" $$unsorted)) % 1.71/1.90 (define @t2933 () (tptp.in (tptp.kpair @t2932 (tptp.ap @t2 @t1 @t882 @t2932)) @t882)) % 1.71/1.90 (define @t2934 () (not (tptp.in @t2932 @t2))) % 1.71/1.90 (define @t2935 () (or @t2854 @t2934 @t2933)) % 1.71/1.90 (define @t2936 () (@list @t2 @t1 @t882 @t2932)) % 1.71/1.90 (define @t2937 () (forall @t2936 @t2935)) % 1.71/1.90 (define @t2938 () (@var "BOUND_VARIABLE_13415" $$unsorted)) % 1.71/1.90 (define @t2939 () (@var "BOUND_VARIABLE_13413" $$unsorted)) % 1.71/1.90 (define @t2940 () (= @t2939 @t2938)) % 1.71/1.90 (define @t2941 () (not (_ @t143 @t2938))) % 1.71/1.90 (define @t2942 () (not (tptp.in @t2938 @t2))) % 1.71/1.90 (define @t2943 () (not (_ @t143 @t2939))) % 1.71/1.90 (define @t2944 () (not (tptp.in @t2939 @t2))) % 1.71/1.90 (define @t2945 () (tptp.ex1 @t2 @t143)) % 1.71/1.90 (define @t2946 () (not @t2945)) % 1.71/1.90 (define @t2947 () (or @t2946 @t2944 @t2943 @t2942 @t2941 @t2940)) % 1.71/1.90 (define @t2948 () (@list @t2 @t143 @t2939 @t2938)) % 1.71/1.90 (define @t2949 () (forall @t2948 @t2947)) % 1.71/1.90 (define @t2950 () (@var "BOUND_VARIABLE_13384" $$unsorted)) % 1.71/1.90 (define @t2951 () (@var "BOUND_VARIABLE_13382" (-> $$unsorted Bool))) % 1.71/1.90 (define @t2952 () (_ @t2951 @t2950)) % 1.71/1.90 (define @t2953 () (not (tptp.in @t2950 @t938))) % 1.71/1.90 (define @t2954 () (@var "BOUND_VARIABLE_13336" $$unsorted)) % 1.71/1.90 (define @t2955 () (tptp.kpair @t4 @t2954)) % 1.71/1.90 (define @t2956 () (not (tptp.in @t2955 @t938))) % 1.71/1.90 (define @t2957 () (not (tptp.in @t2954 @t1))) % 1.71/1.90 (define @t2958 () (@list @t4 @t2954)) % 1.71/1.90 (define @t2959 () (not (forall @t2958 (or @t2357 @t2957 @t2956 (_ @t2951 @t2955))))) % 1.71/1.90 (define @t2960 () (or @t2886 @t2959 @t2953 @t2952)) % 1.71/1.90 (define @t2961 () (@list @t2 @t1 @t938 @t2951 @t2950)) % 1.71/1.90 (define @t2962 () (forall @t2961 @t2960)) % 1.71/1.90 (define @t2963 () (forall @t924 (or @t2848 (tptp.in @t2842 @t2168)))) % 1.71/1.90 (define @t2964 () (forall @t924 (or @t2848 (tptp.func @t2 @t1 @t2842)))) % 1.71/1.90 (define @t2965 () (= @t19 @t2845)) % 1.71/1.90 (define @t2966 () (lambda @t135 @t2965)) % 1.71/1.90 (define @t2967 () (tptp.dpsetconstr @t2 @t1 @t2966)) % 1.71/1.90 (define @t2968 () (tptp.func @t2 @t1 @t2967)) % 1.71/1.90 (define @t2969 () (forall @t924 (or @t2848 @t2968))) % 1.71/1.90 (define @t2970 () (forall @t891 (or @t2854 @t2169))) % 1.71/1.90 (define @t2971 () (@var "BOUND_VARIABLE_13239" $$unsorted)) % 1.71/1.90 (define @t2972 () (tptp.in (tptp.ap @t2 @t1 @t882 @t2971) @t1)) % 1.71/1.90 (define @t2973 () (not (tptp.in @t2971 @t2))) % 1.71/1.90 (define @t2974 () (or @t2194 @t2973 @t2972)) % 1.71/1.90 (define @t2975 () (@list @t2 @t1 @t882 @t2971)) % 1.71/1.90 (define @t2976 () (forall @t2975 @t2974)) % 1.71/1.90 (define @t2977 () (forall @t891 (or @t2194 @t2853))) % 1.71/1.90 (define @t2978 () (@var "BOUND_VARIABLE_13208" $$unsorted)) % 1.71/1.90 (define @t2979 () (tptp.in (tptp.ap @t2 @t1 @t882 @t2978) @t1)) % 1.71/1.90 (define @t2980 () (not (tptp.in @t2978 @t2))) % 1.71/1.90 (define @t2981 () (or @t2854 @t2980 @t2979)) % 1.71/1.90 (define @t2982 () (@list @t2 @t1 @t882 @t2978)) % 1.71/1.90 (define @t2983 () (forall @t2982 @t2981)) % 1.71/1.90 (define @t2984 () (@var "BOUND_VARIABLE_13176" $$unsorted)) % 1.71/1.90 (define @t2985 () (tptp.in (tptp.setunion (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t2984 @t19) @t882)))) @t1)) % 1.71/1.90 (define @t2986 () (not (tptp.in @t2984 @t2))) % 1.71/1.90 (define @t2987 () (or @t2854 @t2986 @t2985)) % 1.71/1.90 (define @t2988 () (@list @t2 @t1 @t882 @t2984)) % 1.71/1.90 (define @t2989 () (forall @t2988 @t2987)) % 1.71/1.90 (define @t2990 () (@var "BOUND_VARIABLE_13144" $$unsorted)) % 1.71/1.90 (define @t2991 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t2990 @t19) @t882))))) % 1.71/1.90 (define @t2992 () (not (tptp.in @t2990 @t2))) % 1.71/1.90 (define @t2993 () (or @t2854 @t2992 @t2991)) % 1.71/1.90 (define @t2994 () (@list @t2 @t1 @t882 @t2990)) % 1.71/1.90 (define @t2995 () (forall @t2994 @t2993)) % 1.71/1.90 (define @t2996 () (tptp.dpsetconstr @t2 @t1 @t67)) % 1.71/1.90 (define @t2997 () (tptp.kpair @t4 @t19)) % 1.71/1.90 (define @t2998 () (tptp.in @t2997 @t2996)) % 1.71/1.90 (define @t2999 () (not @t2998)) % 1.71/1.90 (define @t3000 () (forall @t875 (or @t2999 @t2398))) % 1.71/1.90 (define @t3001 () (forall @t875 (or @t2999 @t2400))) % 1.71/1.90 (define @t3002 () (forall @t875 (or @t2999 @t2356))) % 1.71/1.90 (define @t3003 () (@var "BOUND_VARIABLE_13085" $$unsorted)) % 1.71/1.90 (define @t3004 () (_ @t67 @t4 @t3003)) % 1.71/1.90 (define @t3005 () (not (tptp.in (tptp.kpair @t4 @t3003) @t2996))) % 1.71/1.90 (define @t3006 () (not (tptp.in @t3003 @t1))) % 1.71/1.90 (define @t3007 () (or @t2357 @t3006 @t3005 @t3004)) % 1.71/1.90 (define @t3008 () (@list @t2 @t1 @t67 @t4 @t3003)) % 1.71/1.90 (define @t3009 () (forall @t3008 @t3007)) % 1.71/1.90 (define @t3010 () (forall @t863 (tptp.breln @t2 @t1 @t2996))) % 1.71/1.90 (define @t3011 () (tptp.cartprod @t2 @t1)) % 1.71/1.90 (define @t3012 () (forall @t863 (tptp.subset @t2996 @t3011))) % 1.71/1.90 (define @t3013 () (@var "BOUND_VARIABLE_13034" $$unsorted)) % 1.71/1.90 (define @t3014 () (tptp.in (tptp.kpair @t4 @t3013) @t2996)) % 1.71/1.90 (define @t3015 () (not (_ @t67 @t4 @t3013))) % 1.71/1.90 (define @t3016 () (not (tptp.in @t3013 @t1))) % 1.71/1.90 (define @t3017 () (or @t2357 @t3016 @t3015 @t3014)) % 1.71/1.90 (define @t3018 () (@list @t2 @t1 @t67 @t4 @t3013)) % 1.71/1.90 (define @t3019 () (forall @t3018 @t3017)) % 1.71/1.90 (define @t3020 () (tptp.ksnd @t383)) % 1.71/1.90 (define @t3021 () (tptp.kfst @t383)) % 1.71/1.90 (define @t3022 () (tptp.kpair @t3021 @t3020)) % 1.71/1.90 (define @t3023 () (= @t383 @t3022)) % 1.71/1.90 (define @t3024 () (tptp.in @t383 @t3011)) % 1.71/1.90 (define @t3025 () (not @t3024)) % 1.71/1.90 (define @t3026 () (forall @t689 (or @t3025 @t3023))) % 1.71/1.90 (define @t3027 () (@var "BOUND_VARIABLE_12988" $$unsorted)) % 1.71/1.90 (define @t3028 () (= @t3027 (tptp.ksnd (tptp.kpair @t4 @t3027)))) % 1.71/1.90 (define @t3029 () (not (tptp.in @t3027 @t1))) % 1.71/1.90 (define @t3030 () (or @t2357 @t3029 @t3028)) % 1.71/1.90 (define @t3031 () (@list @t2 @t1 @t4 @t3027)) % 1.71/1.90 (define @t3032 () (forall @t3031 @t3030)) % 1.71/1.90 (define @t3033 () (@var "BOUND_VARIABLE_12961" $$unsorted)) % 1.71/1.90 (define @t3034 () (= @t4 (tptp.kfst (tptp.kpair @t4 @t3033)))) % 1.71/1.90 (define @t3035 () (not (tptp.in @t3033 @t1))) % 1.71/1.90 (define @t3036 () (or @t2357 @t3035 @t3034)) % 1.71/1.90 (define @t3037 () (@list @t2 @t1 @t4 @t3033)) % 1.71/1.90 (define @t3038 () (forall @t3037 @t3036)) % 1.71/1.90 (define @t3039 () (tptp.in @t2997 @t3011)) % 1.71/1.90 (define @t3040 () (not @t3039)) % 1.71/1.90 (define @t3041 () (forall @t825 (or @t3040 @t2400))) % 1.71/1.90 (define @t3042 () (forall @t825 (or @t3040 @t2356))) % 1.71/1.90 (define @t3043 () (tptp.in @t3020 @t1)) % 1.71/1.90 (define @t3044 () (forall @t689 (or @t3025 @t3043))) % 1.71/1.90 (define @t3045 () (tptp.iskpair @t383)) % 1.71/1.90 (define @t3046 () (not @t3045)) % 1.71/1.90 (define @t3047 () (forall @t757 (or @t3046 @t3023))) % 1.71/1.90 (define @t3048 () (tptp.ksnd @t2997)) % 1.71/1.90 (define @t3049 () (= @t19 @t3048)) % 1.71/1.90 (define @t3050 () (forall @t135 @t3049)) % 1.71/1.90 (define @t3051 () (tptp.kpair @t3021 @t4)) % 1.71/1.90 (define @t3052 () (= @t383 @t3051)) % 1.71/1.90 (define @t3053 () (lambda @t9 @t3052)) % 1.71/1.90 (define @t3054 () (tptp.setunion @t383)) % 1.71/1.90 (define @t3055 () (tptp.dsetconstr @t3054 @t3053)) % 1.71/1.90 (define @t3056 () (tptp.singleton @t3055)) % 1.71/1.90 (define @t3057 () (forall @t757 (or @t3046 @t3056))) % 1.71/1.90 (define @t3058 () (tptp.kpair @t289 @t383)) % 1.71/1.90 (define @t3059 () (not (= @t2997 @t3058))) % 1.71/1.90 (define @t3060 () (forall @t778 (or @t3059 @t793))) % 1.71/1.90 (define @t3061 () (tptp.setadjoin @t383 tptp.emptyset)) % 1.71/1.90 (define @t3062 () (tptp.setadjoin @t289 @t3061)) % 1.71/1.90 (define @t3063 () (tptp.setadjoin @t3062 tptp.emptyset)) % 1.71/1.90 (define @t3064 () (tptp.setadjoin @t289 tptp.emptyset)) % 1.71/1.90 (define @t3065 () (tptp.setadjoin @t3064 @t3063)) % 1.71/1.90 (define @t3066 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.71/1.90 (define @t3067 () (tptp.setadjoin @t4 @t3066)) % 1.71/1.90 (define @t3068 () (tptp.setadjoin @t3067 tptp.emptyset)) % 1.71/1.90 (define @t3069 () (tptp.setadjoin @t2817 @t3068)) % 1.71/1.90 (define @t3070 () (not (= @t3069 @t3065))) % 1.71/1.90 (define @t3071 () (forall @t778 (or @t3070 @t793))) % 1.71/1.90 (define @t3072 () (forall @t297 (or (not (= @t3067 @t3064)) @t129))) % 1.71/1.90 (define @t3073 () (not (= @t3069 (tptp.setadjoin @t3061 (tptp.setadjoin (tptp.setadjoin @t383 @t3061) tptp.emptyset))))) % 1.71/1.90 (define @t3074 () (or @t3073 @t793)) % 1.71/1.90 (define @t3075 () (@list @t4 @t19 @t383)) % 1.71/1.90 (define @t3076 () (forall @t3075 @t3074)) % 1.71/1.90 (define @t3077 () (tptp.setadjoin @t19 @t3066)) % 1.71/1.90 (define @t3078 () (= (tptp.setadjoin @t3066 (tptp.setadjoin @t3077 tptp.emptyset)) (tptp.setadjoin @t3066 tptp.emptyset))) % 1.71/1.90 (define @t3079 () (forall @t70 @t3078)) % 1.71/1.90 (define @t3080 () (= @t3066 @t3077)) % 1.71/1.90 (define @t3081 () (forall @t70 @t3080)) % 1.71/1.90 (define @t3082 () (forall @t778 (or @t3059 @t745))) % 1.71/1.90 (define @t3083 () (forall @t778 (or @t3070 @t745))) % 1.71/1.90 (define @t3084 () (tptp.in @t3021 @t2)) % 1.71/1.90 (define @t3085 () (forall @t689 (or @t3025 @t3084))) % 1.71/1.90 (define @t3086 () (tptp.kfst @t2997)) % 1.71/1.90 (define @t3087 () (= @t4 @t3086)) % 1.71/1.90 (define @t3088 () (forall @t135 @t3087)) % 1.71/1.90 (define @t3089 () (tptp.in @t2802 @t695)) % 1.71/1.90 (define @t3090 () (forall @t700 (or @t2805 @t3089))) % 1.71/1.90 (define @t3091 () (tptp.in @t2817 @t383)) % 1.71/1.90 (define @t3092 () (lambda @t9 @t3091)) % 1.71/1.90 (define @t3093 () (tptp.dsetconstr @t3054 @t3092)) % 1.71/1.90 (define @t3094 () (tptp.singleton @t3093)) % 1.71/1.90 (define @t3095 () (forall @t757 (or @t3046 @t3094))) % 1.71/1.90 (define @t3096 () (tptp.in @t3064 @t3069)) % 1.71/1.90 (define @t3097 () (forall @t297 (or (not @t3096) @t745))) % 1.71/1.90 (define @t3098 () (forall @t135 (or (not (= @t3066 @t2817)) @t129))) % 1.71/1.90 (define @t3099 () (@var "BOUND_VARIABLE_12698" $$unsorted)) % 1.71/1.90 (define @t3100 () (not (_ @t143 @t3099))) % 1.71/1.90 (define @t3101 () (not (tptp.in @t3099 @t2))) % 1.71/1.90 (define @t3102 () (@var "BOUND_VARIABLE_12612" $$unsorted)) % 1.71/1.90 (define @t3103 () (= @t4 @t3102)) % 1.71/1.90 (define @t3104 () (not (_ @t143 @t3102))) % 1.71/1.90 (define @t3105 () (not (tptp.in @t3102 @t2))) % 1.71/1.90 (define @t3106 () (_ @t143 @t4)) % 1.71/1.90 (define @t3107 () (not @t3106)) % 1.71/1.90 (define @t3108 () (or @t2357 @t3107 @t3105 @t3104 @t3103)) % 1.71/1.90 (define @t3109 () (@list @t4 @t3102)) % 1.71/1.90 (define @t3110 () (forall @t3109 @t3108)) % 1.71/1.90 (define @t3111 () (not @t3110)) % 1.71/1.90 (define @t3112 () (or @t3111 @t2945 @t3101 @t3100)) % 1.71/1.90 (define @t3113 () (@list @t2 @t143 @t3099)) % 1.71/1.90 (define @t3114 () (forall @t3113 @t3112)) % 1.71/1.90 (define @t3115 () (_ @t143 @t19)) % 1.71/1.90 (define @t3116 () (not @t3115)) % 1.71/1.90 (define @t3117 () (forall @t70 (or @t2175 @t3116 @t129))) % 1.71/1.90 (define @t3118 () (not @t3117)) % 1.71/1.90 (define @t3119 () (forall @t159 (or @t2357 @t3107 @t3118 @t2945))) % 1.71/1.90 (define @t3120 () (forall @t9 (or @t2357 @t3107))) % 1.71/1.90 (define @t3121 () (not @t3120)) % 1.71/1.90 (define @t3122 () (forall @t311 (or @t2946 @t3121))) % 1.71/1.90 (define @t3123 () (@var "BOUND_VARIABLE_12639" $$unsorted)) % 1.71/1.90 (define @t3124 () (not (_ @t143 @t3123))) % 1.71/1.90 (define @t3125 () (not (tptp.in @t3123 @t2))) % 1.71/1.90 (define @t3126 () (tptp.dsetconstr @t2 @t143)) % 1.71/1.90 (define @t3127 () (tptp.singleton @t3126)) % 1.71/1.90 (define @t3128 () (or @t3111 @t3127 @t3125 @t3124)) % 1.71/1.90 (define @t3129 () (@list @t2 @t143 @t3123)) % 1.71/1.90 (define @t3130 () (forall @t3129 @t3128)) % 1.71/1.90 (define @t3131 () (tptp.setunion @t2817)) % 1.71/1.90 (define @t3132 () (forall @t9 (= @t4 @t3131))) % 1.71/1.90 (define @t3133 () (tptp.setadjoin @t2 tptp.emptyset)) % 1.71/1.90 (define @t3134 () (tptp.setunion @t3133)) % 1.71/1.90 (define @t3135 () (tptp.subset @t2 @t3134)) % 1.71/1.90 (define @t3136 () (forall @t64 @t3135)) % 1.71/1.90 (define @t3137 () (tptp.subset @t3134 @t2)) % 1.71/1.90 (define @t3138 () (forall @t64 @t3137)) % 1.71/1.90 (define @t3139 () (tptp.in @t695 @t2)) % 1.71/1.90 (define @t3140 () (not (forall @t700 (or (not @t3139) @t2748)))) % 1.71/1.90 (define @t3141 () (tptp.setunion @t2)) % 1.71/1.90 (define @t3142 () (tptp.in @t4 @t3141)) % 1.71/1.90 (define @t3143 () (not @t3142)) % 1.71/1.90 (define @t3144 () (forall @t46 (or @t3143 @t3140))) % 1.71/1.90 (define @t3145 () (forall @t689 (or @t3025 @t3045))) % 1.71/1.90 (define @t3146 () (@var "BOUND_VARIABLE_12522" $$unsorted)) % 1.71/1.90 (define @t3147 () (not (= @t383 (tptp.kpair @t4 @t3146)))) % 1.71/1.90 (define @t3148 () (not (tptp.in @t3146 @t1))) % 1.71/1.90 (define @t3149 () (or @t2357 @t3148 @t3147)) % 1.71/1.90 (define @t3150 () (@list @t4 @t3146)) % 1.71/1.90 (define @t3151 () (not (forall @t3150 @t3149))) % 1.71/1.90 (define @t3152 () (forall @t689 (or @t3025 @t3151))) % 1.71/1.90 (define @t3153 () (@var "BOUND_VARIABLE_12488" $$unsorted)) % 1.71/1.90 (define @t3154 () (tptp.in (tptp.kpair @t4 @t3153) @t3011)) % 1.71/1.90 (define @t3155 () (not (tptp.in @t3153 @t1))) % 1.71/1.90 (define @t3156 () (or @t2357 @t3155 @t3154)) % 1.71/1.90 (define @t3157 () (@list @t2 @t1 @t4 @t3153)) % 1.71/1.90 (define @t3158 () (forall @t3157 @t3156)) % 1.71/1.90 (define @t3159 () (tptp.binunion @t2 @t1)) % 1.71/1.90 (define @t3160 () (tptp.powerset @t3159)) % 1.71/1.90 (define @t3161 () (tptp.powerset @t3160)) % 1.71/1.90 (define @t3162 () (@var "BOUND_VARIABLE_12461" $$unsorted)) % 1.71/1.90 (define @t3163 () (tptp.in (tptp.kpair @t4 @t3162) @t3161)) % 1.71/1.90 (define @t3164 () (not (tptp.in @t3162 @t1))) % 1.71/1.90 (define @t3165 () (or @t2357 @t3164 @t3163)) % 1.71/1.90 (define @t3166 () (@list @t2 @t1 @t4 @t3162)) % 1.71/1.90 (define @t3167 () (forall @t3166 @t3165)) % 1.71/1.90 (define @t3168 () (@var "BOUND_VARIABLE_12431" $$unsorted)) % 1.71/1.90 (define @t3169 () (tptp.in (tptp.setadjoin @t2817 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t3168 tptp.emptyset)) tptp.emptyset)) @t3161)) % 1.71/1.90 (define @t3170 () (not (tptp.in @t3168 @t1))) % 1.71/1.90 (define @t3171 () (or @t2357 @t3170 @t3169)) % 1.71/1.90 (define @t3172 () (@list @t2 @t1 @t4 @t3168)) % 1.71/1.90 (define @t3173 () (forall @t3172 @t3171)) % 1.71/1.90 (define @t3174 () (@var "BOUND_VARIABLE_12399" $$unsorted)) % 1.71/1.90 (define @t3175 () (tptp.subset (tptp.setadjoin @t2817 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t3174 tptp.emptyset)) tptp.emptyset)) @t3160)) % 1.71/1.90 (define @t3176 () (not (tptp.in @t3174 @t1))) % 1.71/1.90 (define @t3177 () (or @t2357 @t3176 @t3175)) % 1.71/1.90 (define @t3178 () (@list @t2 @t1 @t4 @t3174)) % 1.71/1.90 (define @t3179 () (forall @t3178 @t3177)) % 1.71/1.90 (define @t3180 () (@var "BOUND_VARIABLE_12371" $$unsorted)) % 1.71/1.90 (define @t3181 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t3180 tptp.emptyset)) @t3160)) % 1.71/1.90 (define @t3182 () (not (tptp.in @t3180 @t1))) % 1.71/1.90 (define @t3183 () (or @t2357 @t3182 @t3181)) % 1.71/1.90 (define @t3184 () (@list @t2 @t1 @t4 @t3180)) % 1.71/1.90 (define @t3185 () (forall @t3184 @t3183)) % 1.71/1.90 (define @t3186 () (@var "BOUND_VARIABLE_12343" $$unsorted)) % 1.71/1.90 (define @t3187 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t3186 tptp.emptyset)) @t3159)) % 1.71/1.90 (define @t3188 () (not (tptp.in @t3186 @t1))) % 1.71/1.90 (define @t3189 () (or @t2357 @t3188 @t3187)) % 1.71/1.90 (define @t3190 () (@list @t2 @t1 @t4 @t3186)) % 1.71/1.90 (define @t3191 () (forall @t3190 @t3189)) % 1.71/1.90 (define @t3192 () (= @t19 @t289)) % 1.71/1.90 (define @t3193 () (tptp.in @t289 @t3067)) % 1.71/1.90 (define @t3194 () (forall @t297 (or (not @t3193) @t745 @t3192))) % 1.71/1.90 (define @t3195 () (tptp.in @t2817 @t3160)) % 1.71/1.90 (define @t3196 () (forall @t245 (or @t2357 @t3195))) % 1.71/1.90 (define @t3197 () (tptp.in @t2817 @t2413)) % 1.71/1.90 (define @t3198 () (forall @t46 (or @t2357 @t3197))) % 1.71/1.90 (define @t3199 () (tptp.subset @t2817 @t2)) % 1.71/1.90 (define @t3200 () (forall @t46 (or @t2357 @t3199))) % 1.71/1.90 (define @t3201 () (tptp.iskpair @t2997)) % 1.71/1.90 (define @t3202 () (forall @t135 @t3201)) % 1.71/1.90 (define @t3203 () (tptp.iskpair @t3069)) % 1.71/1.90 (define @t3204 () (forall @t135 @t3203)) % 1.71/1.90 (define @t3205 () (tptp.setunion @t3069)) % 1.71/1.90 (define @t3206 () (tptp.in @t19 @t3205)) % 1.71/1.90 (define @t3207 () (forall @t135 @t3206)) % 1.71/1.90 (define @t3208 () (tptp.in @t4 @t3205)) % 1.71/1.90 (define @t3209 () (forall @t135 @t3208)) % 1.71/1.90 (define @t3210 () (tptp.in @t19 @t3067)) % 1.71/1.90 (define @t3211 () (forall @t135 @t3210)) % 1.71/1.90 (define @t3212 () (tptp.symdiff @t2 @t1)) % 1.71/1.90 (define @t3213 () (tptp.in @t4 @t3212)) % 1.71/1.90 (define @t3214 () (not @t3213)) % 1.71/1.90 (define @t3215 () (forall @t245 (or @t2356 @t2179 @t3214))) % 1.71/1.90 (define @t3216 () (forall @t245 (or @t2357 @t2180 @t3214))) % 1.71/1.90 (define @t3217 () (forall @t245 (or @t2356 @t2180 @t3213))) % 1.71/1.90 (define @t3218 () (forall @t245 (or @t2357 @t2179 @t3213))) % 1.71/1.90 (define @t3219 () (and @t2357 @t2179)) % 1.71/1.90 (define @t3220 () (and @t2356 @t2180)) % 1.71/1.90 (define @t3221 () (forall @t245 (or @t3214 @t3220 @t3219))) % 1.71/1.90 (define @t3222 () (tptp.subset @t2 @t1)) % 1.71/1.90 (define @t3223 () (tptp.setminus @t2 @t1)) % 1.71/1.90 (define @t3224 () (= tptp.emptyset @t3223)) % 1.71/1.90 (define @t3225 () (forall @t12 (or (not @t3224) @t3222))) % 1.71/1.90 (define @t3226 () (tptp.subset @t3223 @t2)) % 1.71/1.90 (define @t3227 () (forall @t12 @t3226)) % 1.71/1.90 (define @t3228 () (tptp.in @t4 @t3223)) % 1.71/1.90 (define @t3229 () (not @t3228)) % 1.71/1.90 (define @t3230 () (forall @t245 (or @t2180 @t3229))) % 1.71/1.90 (define @t3231 () (forall @t245 (or @t2356 @t3229))) % 1.71/1.90 (define @t3232 () (forall @t245 (or @t3228 @t2179 @t2357))) % 1.71/1.90 (define @t3233 () (forall @t245 (or @t3228 @t2357 @t2179))) % 1.71/1.90 (define @t3234 () (not @t3222)) % 1.71/1.90 (define @t3235 () (forall @t12 (or @t3234 @t3224))) % 1.71/1.90 (define @t3236 () (forall @t245 (or @t3229 @t2180))) % 1.71/1.90 (define @t3237 () (forall @t245 (or @t3229 @t2356))) % 1.71/1.90 (define @t3238 () (forall @t245 (or @t2357 @t2179 @t3228))) % 1.71/1.90 (define @t3239 () (tptp.binintersect @t2 @t104)) % 1.71/1.90 (define @t3240 () (tptp.binintersect @t2 @t1)) % 1.71/1.90 (define @t3241 () (tptp.binunion @t3240 @t3239)) % 1.71/1.90 (define @t3242 () (tptp.binunion @t1 @t104)) % 1.71/1.90 (define @t3243 () (tptp.binintersect @t2 @t3242)) % 1.71/1.90 (define @t3244 () (forall @t457 (= @t3243 @t3241))) % 1.71/1.90 (define @t3245 () (= @t2 @t3240)) % 1.71/1.90 (define @t3246 () (forall @t12 (or (not @t3245) @t3222))) % 1.71/1.90 (define @t3247 () (= @t1 @t3240)) % 1.71/1.90 (define @t3248 () (tptp.subset @t1 @t2)) % 1.71/1.90 (define @t3249 () (not @t3248)) % 1.71/1.90 (define @t3250 () (forall @t12 (or @t3249 @t3247))) % 1.71/1.90 (define @t3251 () (tptp.subset @t3240 @t1)) % 1.71/1.90 (define @t3252 () (forall @t12 @t3251)) % 1.71/1.90 (define @t3253 () (forall @t9 (or @t2357 @t2180))) % 1.71/1.90 (define @t3254 () (not @t3253)) % 1.71/1.90 (define @t3255 () (forall @t12 (or @t3254 (= tptp.emptyset @t3240)))) % 1.71/1.90 (define @t3256 () (tptp.in @t4 @t3240)) % 1.71/1.90 (define @t3257 () (not @t3256)) % 1.71/1.90 (define @t3258 () (forall @t245 (or @t3257 @t2179))) % 1.71/1.90 (define @t3259 () (forall @t12 (or (not @t3247) @t3248))) % 1.71/1.90 (define @t3260 () (forall @t12 (or @t3234 @t3245))) % 1.71/1.90 (define @t3261 () (tptp.subset @t3240 @t2)) % 1.71/1.90 (define @t3262 () (forall @t12 @t3261)) % 1.71/1.90 (define @t3263 () (forall @t245 (or @t3257 @t2356))) % 1.71/1.90 (define @t3264 () (tptp.subset @t104 @t3240)) % 1.71/1.90 (define @t3265 () (tptp.subset @t104 @t1)) % 1.71/1.90 (define @t3266 () (tptp.subset @t104 @t2)) % 1.71/1.90 (define @t3267 () (forall @t457 (or (not @t3266) (not @t3265) @t3264))) % 1.71/1.90 (define @t3268 () (forall @t245 (or @t2357 @t2180 @t3256))) % 1.71/1.90 (define @t3269 () (tptp.subset @t1 @t3159)) % 1.71/1.90 (define @t3270 () (forall @t12 @t3269)) % 1.71/1.90 (define @t3271 () (tptp.subset @t2 @t3159)) % 1.71/1.90 (define @t3272 () (forall @t12 @t3271)) % 1.71/1.90 (define @t3273 () (tptp.in @t4 @t3159)) % 1.71/1.90 (define @t3274 () (not @t3273)) % 1.71/1.90 (define @t3275 () (forall @t245 (or @t3274 @t2356 @t2179))) % 1.71/1.90 (define @t3276 () (forall @t245 (or @t2180 @t3273))) % 1.71/1.90 (define @t3277 () (forall @t245 (or @t2357 @t3273))) % 1.71/1.90 (define @t3278 () (forall @t311 (tptp.subset @t3126 @t2))) % 1.71/1.90 (define @t3279 () (forall @t311 (tptp.in @t3126 @t2413))) % 1.71/1.90 (define @t3280 () (tptp.powerset @t1)) % 1.71/1.90 (define @t3281 () (tptp.subset @t2413 @t3280)) % 1.71/1.90 (define @t3282 () (forall @t12 (or @t3234 @t3281))) % 1.71/1.90 (define @t3283 () (tptp.in @t2 @t2413)) % 1.71/1.90 (define @t3284 () (forall @t64 @t3283)) % 1.71/1.90 (define @t3285 () (tptp.in @t1 @t2413)) % 1.71/1.90 (define @t3286 () (not @t3285)) % 1.71/1.90 (define @t3287 () (forall @t12 (or @t3286 @t3248))) % 1.71/1.90 (define @t3288 () (forall @t12 (or @t3249 @t3285))) % 1.71/1.90 (define @t3289 () (tptp.subset @t2 tptp.emptyset)) % 1.71/1.90 (define @t3290 () (forall @t64 (or (not @t3289) @t196))) % 1.71/1.90 (define @t3291 () (forall @t12 (or @t3234 @t3249 @t3))) % 1.71/1.90 (define @t3292 () (tptp.in @t2 @t3280)) % 1.71/1.90 (define @t3293 () (forall @t12 (or @t3234 @t3292))) % 1.71/1.90 (define @t3294 () (tptp.setadjoin @t4 @t1)) % 1.71/1.90 (define @t3295 () (tptp.subset @t2 @t3294)) % 1.71/1.90 (define @t3296 () (forall @t249 (or @t3234 @t3295))) % 1.71/1.90 (define @t3297 () (tptp.setadjoin @t4 @t2)) % 1.71/1.90 (define @t3298 () (tptp.subset @t2 @t3297)) % 1.71/1.90 (define @t3299 () (forall @t461 @t3298)) % 1.71/1.90 (define @t3300 () (tptp.subset @t2 @t104)) % 1.71/1.90 (define @t3301 () (tptp.subset @t1 @t104)) % 1.71/1.90 (define @t3302 () (forall @t457 (or @t3234 (not @t3301) @t3300))) % 1.71/1.90 (define @t3303 () (tptp.subset @t2 @t2)) % 1.71/1.90 (define @t3304 () (forall @t64 @t3303)) % 1.71/1.90 (define @t3305 () (tptp.subset @t1 @t1)) % 1.71/1.90 (define @t3306 () (forall @t41 @t3305)) % 1.71/1.90 (define @t3307 () (forall @t245 (or @t2357 @t2179 @t3234))) % 1.71/1.90 (define @t3308 () (forall @t245 (or @t3234 @t2179 @t2357))) % 1.71/1.90 (define @t3309 () (forall @t245 (or @t3234 @t2357 @t2179))) % 1.71/1.90 (define @t3310 () (tptp.subset tptp.emptyset @t2)) % 1.71/1.90 (define @t3311 () (forall @t64 @t3310)) % 1.71/1.90 (define @t3312 () (forall @t9 (or @t2357 @t2179))) % 1.71/1.90 (define @t3313 () (not @t3312)) % 1.71/1.90 (define @t3314 () (forall @t12 (or @t3313 @t3222))) % 1.71/1.90 (define @t3315 () (@var "BOUND_VARIABLE_11740" (-> $$unsorted Bool))) % 1.71/1.90 (define @t3316 () (tptp.dsetconstr @t1 @t3315)) % 1.71/1.90 (define @t3317 () (@var "BOUND_VARIABLE_11742" (-> $$unsorted Bool))) % 1.71/1.90 (define @t3318 () (tptp.dsetconstr @t1 @t3317)) % 1.71/1.90 (define @t3319 () (= @t3318 @t3316)) % 1.71/1.90 (define @t3320 () (= (_ @t3315 @t4) (_ @t3317 @t4))) % 1.71/1.90 (define @t3321 () (or @t2180 @t3320)) % 1.71/1.90 (define @t3322 () (not (forall @t9 @t3321))) % 1.71/1.90 (define @t3323 () (or @t3322 @t3319)) % 1.71/1.90 (define @t3324 () (@list @t1 @t3315 @t3317)) % 1.71/1.90 (define @t3325 () (forall @t3324 @t3323)) % 1.71/1.90 (define @t3326 () (@var "BOUND_VARIABLE_11679" $$unsorted)) % 1.71/1.90 (define @t3327 () (_ @t368 @t19)) % 1.71/1.90 (define @t3328 () (not @t3327)) % 1.71/1.90 (define @t3329 () (not (_ @t368 @t3326))) % 1.71/1.90 (define @t3330 () (@var "BOUND_VARIABLE_11670" $$unsorted)) % 1.71/1.90 (define @t3331 () (not (_ @t143 @t3330))) % 1.71/1.90 (define @t3332 () (tptp.descr @t143)) % 1.71/1.90 (define @t3333 () (= @t3332 (tptp.descr @t368))) % 1.71/1.90 (define @t3334 () (= @t3115 @t3327)) % 1.71/1.90 (define @t3335 () (forall @t70 @t3334)) % 1.71/1.90 (define @t3336 () (not @t3335)) % 1.71/1.90 (define @t3337 () (@list @t143 @t368 @t3330 @t3326)) % 1.71/1.90 (define @t3338 () (forall @t3337 (or @t3336 @t3333 @t3331 (not (forall @t70 (or @t3116 (= @t19 @t3330)))) @t3329 (not (forall @t70 (or @t3328 (= @t19 @t3326))))))) % 1.71/1.90 (define @t3339 () (@var "BOUND_VARIABLE_11512" $$unsorted)) % 1.71/1.90 (define @t3340 () (@var "BOUND_VARIABLE_11510" $$unsorted)) % 1.71/1.90 (define @t3341 () (= @t3340 @t3339)) % 1.71/1.90 (define @t3342 () (not (_ @t143 @t3339))) % 1.71/1.90 (define @t3343 () (not (_ @t143 @t3340))) % 1.71/1.90 (define @t3344 () (@var "BOUND_VARIABLE_11501" $$unsorted)) % 1.71/1.90 (define @t3345 () (not (_ @t143 @t3344))) % 1.71/1.90 (define @t3346 () (@list @t143 @t3344 @t3340 @t3339)) % 1.71/1.90 (define @t3347 () (forall @t3346 (or @t3345 (not (forall @t70 (or @t3116 (= @t19 @t3344)))) @t3343 @t3342 @t3341))) % 1.71/1.90 (define @t3348 () (not (forall @t70 (or @t3328 @t129)))) % 1.71/1.90 (define @t3349 () (_ @t368 @t4)) % 1.71/1.90 (define @t3350 () (forall @t9 (or (not @t3349) @t3348))) % 1.71/1.90 (define @t3351 () (not @t3350)) % 1.71/1.90 (define @t3352 () (forall @t70 (or @t3116 @t129))) % 1.71/1.90 (define @t3353 () (not @t3352)) % 1.71/1.90 (define @t3354 () (forall @t9 (or @t3107 @t3353))) % 1.71/1.90 (define @t3355 () (not @t3354)) % 1.71/1.90 (define @t3356 () (= @t3355 @t3351)) % 1.71/1.90 (define @t3357 () (forall @t378 (or @t3336 @t3356))) % 1.71/1.90 (define @t3358 () (@var "BOUND_VARIABLE_11408" $$unsorted)) % 1.71/1.90 (define @t3359 () (@list @t143 @t3358)) % 1.71/1.90 (define @t3360 () (forall @t3359 (or (not (forall @t70 (= @t3115 (= @t19 @t3358)))) @t3355))) % 1.71/1.90 (define @t3361 () (forall @t135 (or @t3107 @t3116 @t129))) % 1.71/1.90 (define @t3362 () (not @t3361)) % 1.71/1.90 (define @t3363 () (@var "BOUND_VARIABLE_11392" $$unsorted)) % 1.71/1.90 (define @t3364 () (not (_ @t143 @t3363))) % 1.71/1.90 (define @t3365 () (or @t3364 @t3362 @t3355)) % 1.71/1.90 (define @t3366 () (forall (@list @t143 @t3363) @t3365)) % 1.71/1.90 (define @t3367 () (=> @t3366 (=> @t3360 (=> @t3347 (=> @t3357 (=> @t3347 (=> @t3338 (=> @t3325 (=> @t3314 (=> @t3306 (=> @t3306 (=> @t3314 (=> @t3311 (=> @t3309 (=> @t3308 (=> @t3307 (=> @t3306 (=> @t3304 (=> @t3302 (=> @t3299 (=> @t3296 (=> @t3293 (=> @t3291 (=> @t3290 (=> @t3288 (=> @t3287 (=> @t3284 (=> @t3282 (=> @t3279 (=> @t3278 (=> @t3277 (=> @t3211 (=> @t3276 (=> @t3275 (=> @t3275 (=> @t3272 (=> @t3270 (=> @t3268 (=> @t3267 (=> @t3263 (=> @t3262 (=> @t3260 (=> @t3259 (=> @t3258 (=> @t3255 (=> @t3252 (=> @t3250 (=> @t3246 (=> @t3244 (=> @t3238 (=> @t3237 (=> @t3236 (=> @t3235 (=> @t3233 (=> @t3232 (=> @t3231 (=> @t3230 (=> @t3227 (=> @t3225 (=> @t3221 (=> @t3218 (=> @t3217 (=> @t3216 (=> @t3215 (=> @t3211 (=> @t3209 (=> @t3207 (=> @t3204 (=> @t3202 (=> @t3200 (=> @t3198 (=> @t3196 (=> @t3194 (=> @t3191 (=> @t3185 (=> @t3179 (=> @t3173 (=> @t3167 (=> @t3158 (=> @t3152 (=> @t3145 (=> @t3144 (=> @t3138 (=> @t3136 (=> @t3132 (=> @t3130 (=> @t3122 (=> @t3119 (=> @t3114 (=> @t3098 (=> @t3097 (=> @t3095 (=> @t3090 (=> @t3088 (=> @t3085 (=> @t3083 (=> @t3082 (=> @t3081 (=> @t3079 (=> @t3076 (=> @t3072 (=> @t3071 (=> @t3060 (=> @t3057 (=> @t3050 (=> @t3047 (=> @t3044 (=> @t3042 (=> @t3041 (=> @t3038 (=> @t3032 (=> @t3026 (=> @t3019 (=> @t3012 (=> @t3010 (=> @t3009 (=> @t3002 (=> @t3001 (=> @t3000 (=> @t2995 (=> @t2989 (=> @t2983 (=> @t2977 (=> @t2976 (=> @t2970 (=> @t2969 (=> @t2964 (=> @t2963 (=> @t2962 (=> @t2962 (=> @t2949 (=> @t2937 (=> @t2931 (=> @t2925 (=> @t2917 (=> @t2904 (=> @t2896 (=> @t2889 (=> @t2869 (=> @t2862 (=> @t2851 (=> @t2855 @t2852)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.71/1.90 (define @t3368 () (tptp.prop2set true)) % 1.71/1.90 (define @t3369 () (tptp.set2prop @t3368)) % 1.71/1.90 (define @t3370 () (=> @t3369 @t3367)) % 1.71/1.90 (define @t3371 () (tptp.in tptp.emptyset @t3368)) % 1.71/1.90 (define @t3372 () (=> @t3371 @t3370)) % 1.71/1.90 (define @t3373 () (tptp.in @t4 tptp.emptyset)) % 1.71/1.90 (define @t3374 () (not @t3373)) % 1.71/1.90 (define @t3375 () (forall @t314 (or @t3374 @t3106))) % 1.71/1.90 (define @t3376 () (=> @t3375 @t3372)) % 1.71/1.90 (define @t3377 () (@var "BOUND_VARIABLE_11301" $$unsorted)) % 1.71/1.90 (define @t3378 () (not (_ @t143 @t3377))) % 1.71/1.90 (define @t3379 () (not (tptp.in @t3377 @t2))) % 1.71/1.90 (define @t3380 () (not (= tptp.emptyset @t3126))) % 1.71/1.90 (define @t3381 () (or @t3380 @t3379 @t3378)) % 1.71/1.90 (define @t3382 () (@list @t2 @t143 @t3377)) % 1.71/1.90 (define @t3383 () (forall @t3382 @t3381)) % 1.71/1.90 (define @t3384 () (=> @t3383 @t3376)) % 1.71/1.90 (define @t3385 () (=> @t3211 @t3384)) % 1.71/1.90 (define @t3386 () (tptp.in @t4 @t3067)) % 1.71/1.90 (define @t3387 () (forall @t135 @t3386)) % 1.71/1.90 (define @t3388 () (=> @t3387 @t3385)) % 1.71/1.90 (define @t3389 () (=> @t3194 @t3388)) % 1.71/1.90 (define @t3390 () (tptp.in @t19 @t2817)) % 1.71/1.90 (define @t3391 () (tptp.in @t4 @t3066)) % 1.71/1.90 (define @t3392 () (not @t3391)) % 1.71/1.90 (define @t3393 () (forall @t135 (or @t3392 @t3390))) % 1.71/1.90 (define @t3394 () (=> @t3393 @t3389)) % 1.71/1.90 (define @t3395 () (tptp.in @t19 @t3066)) % 1.71/1.90 (define @t3396 () (forall @t70 @t3395)) % 1.71/1.90 (define @t3397 () (=> @t3396 @t3394)) % 1.71/1.90 (define @t3398 () (forall @t135 (or @t129 (not @t3390)))) % 1.71/1.90 (define @t3399 () (=> @t3398 @t3397)) % 1.71/1.90 (define @t3400 () (forall @t135 (or @t3392 @t129))) % 1.71/1.90 (define @t3401 () (=> @t3400 @t3399)) % 1.71/1.90 (define @t3402 () (forall @t9 @t2357)) % 1.71/1.90 (define @t3403 () (not @t3402)) % 1.71/1.90 (define @t3404 () (forall @t64 (or @t196 @t3403))) % 1.71/1.90 (define @t3405 () (=> @t3404 @t3401)) % 1.71/1.90 (define @t3406 () (@var "BOUND_VARIABLE_11186" $$unsorted)) % 1.71/1.90 (define @t3407 () (not (_ @t143 @t3406))) % 1.71/1.90 (define @t3408 () (forall @t70 (= @t129 @t3115))) % 1.71/1.90 (define @t3409 () (forall @t9 (not @t3408))) % 1.71/1.90 (define @t3410 () (not @t3409)) % 1.71/1.90 (define @t3411 () (@list @t143 @t3406)) % 1.71/1.90 (define @t3412 () (forall @t3411 (or @t3410 @t3407 (not (forall @t70 (or @t3116 (= @t19 @t3406))))))) % 1.71/1.90 (define @t3413 () (=> @t3412 @t3405)) % 1.71/1.90 (define @t3414 () (tptp.powerset @t3141)) % 1.71/1.90 (define @t3415 () (tptp.in @t4 @t3414)) % 1.71/1.90 (define @t3416 () (forall @t46 (or @t2357 @t3415))) % 1.71/1.90 (define @t3417 () (=> @t3416 @t3413)) % 1.71/1.90 (define @t3418 () (tptp.in @t1 @t2)) % 1.71/1.90 (define @t3419 () (not @t3418)) % 1.71/1.90 (define @t3420 () (forall @t41 (or @t2180 @t3419))) % 1.71/1.90 (define @t3421 () (not @t3420)) % 1.71/1.90 (define @t3422 () (forall @t46 (or @t3143 @t3421))) % 1.71/1.90 (define @t3423 () (=> @t3422 @t3417)) % 1.71/1.90 (define @t3424 () (forall @t249 (or @t2180 @t3419 @t3142))) % 1.71/1.90 (define @t3425 () (=> @t3424 @t3423)) % 1.71/1.90 (define @t3426 () (forall @t245 (or @t3286 @t2180 @t2356))) % 1.71/1.90 (define @t3427 () (=> @t3426 @t3425)) % 1.71/1.90 (define @t3428 () (tptp.in tptp.emptyset @t2413)) % 1.71/1.90 (define @t3429 () (forall @t64 @t3428)) % 1.71/1.90 (define @t3430 () (=> @t3429 @t3427)) % 1.71/1.90 (define @t3431 () (=> @t3429 @t3430)) % 1.71/1.90 (define @t3432 () (forall @t9 (or @t2180 @t2356))) % 1.71/1.90 (define @t3433 () (not @t3432)) % 1.71/1.90 (define @t3434 () (forall @t12 (or @t3433 @t3285))) % 1.71/1.90 (define @t3435 () (=> @t3434 @t3431)) % 1.71/1.90 (define @t3436 () (@var "BOUND_VARIABLE_60202" $$unsorted)) % 1.71/1.90 (define @t3437 () (lambda (@list @t3436) true)) % 1.71/1.90 (define @t3438 () (tptp.dsetconstr @t2 @t3437)) % 1.71/1.90 (define @t3439 () (forall @t64 (= @t2 @t3438))) % 1.71/1.90 (define @t3440 () (=> @t3439 @t3435)) % 1.71/1.90 (define @t3441 () (tptp.in @t19 @t3297)) % 1.71/1.90 (define @t3442 () (forall @t28 (or (not @t3441) @t129 @t2174))) % 1.71/1.90 (define @t3443 () (=> @t3442 @t3440)) % 1.71/1.90 (define @t3444 () (=> @t3442 @t3443)) % 1.71/1.90 (define @t3445 () (forall @t28 (or @t2175 @t3441))) % 1.71/1.90 (define @t3446 () (=> @t3445 @t3444)) % 1.71/1.90 (define @t3447 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.71/1.90 (define @t3448 () (tptp.in tptp.emptyset @t3447)) % 1.71/1.90 (define @t3449 () (=> @t221 @t3446)) % 1.71/1.90 (define @t3450 () (tptp.setadjoin @t4 @t19)) % 1.71/1.90 (define @t3451 () (tptp.in @t4 @t3450)) % 1.71/1.90 (define @t3452 () (forall @t135 @t3451)) % 1.71/1.90 (define @t3453 () (=> @t3452 @t3449)) % 1.71/1.90 (define @t3454 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 1.71/1.90 (define @t3455 () (not (tptp.in @t3454 tptp.emptyset))) % 1.71/1.90 (define @t3456 () (@list @t3454)) % 1.71/1.90 (define @t3457 () (forall @t3456 @t3455)) % 1.71/1.90 (define @t3458 () (=> @t3457 @t3453)) % 1.71/1.90 (define @t3459 () (forall @t159 (or @t2357 @t3107 @t3380))) % 1.71/1.90 (define @t3460 () (=> @t3459 @t3458)) % 1.71/1.90 (define @t3461 () (=> @t3404 @t3460)) % 1.71/1.90 (define @t3462 () (tptp.in @t4 @t3126)) % 1.71/1.90 (define @t3463 () (forall @t159 (or @t2357 (= @t3106 @t3462)))) % 1.71/1.90 (define @t3464 () (=> @t3463 @t3461)) % 1.71/1.90 (define @t3465 () (forall @t64 (or @t3403 @t196))) % 1.71/1.90 (define @t3466 () (=> @t3465 @t3464)) % 1.71/1.90 (define @t3467 () (=> @t3465 @t3466)) % 1.71/1.90 (define @t3468 () (or @t3313 @t3433 @t3)) % 1.71/1.90 (define @t3469 () (forall @t12 @t3468)) % 1.71/1.90 (define @t3470 () (=> @t3469 @t3467)) % 1.71/1.90 (define @t3471 () (@var "BOUND_VARIABLE_10924" $$unsorted)) % 1.71/1.90 (define @t3472 () (not (_ @t143 @t3471))) % 1.71/1.90 (define @t3473 () (forall @t9 @t3107)) % 1.71/1.90 (define @t3474 () (not @t3473)) % 1.71/1.90 (define @t3475 () (@list @t143 @t3471)) % 1.71/1.90 (define @t3476 () (forall @t3475 (or @t3474 @t3472 (not (forall @t70 (or @t3116 (= @t19 @t3471))))))) % 1.71/1.90 (define @t3477 () (=> @t3476 @t3470)) % 1.71/1.90 (define @t3478 () (forall @t9 @t3374)) % 1.71/1.90 (define @t3479 () (=> @t3478 @t3477)) % 1.71/1.90 (define @t3480 () (=> @t3478 @t3479)) % 1.71/1.90 (define @t3481 () (=> @t3478 @t3480)) % 1.71/1.90 (define @t3482 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.71/1.90 (define @t3483 () (forall @t9 @t3482)) % 1.71/1.90 (define @t3484 () (=> @t3483 @t3481)) % 1.71/1.90 (define @t3485 () (not @t3462)) % 1.71/1.90 (define @t3486 () (forall @t159 (or @t3485 @t3106))) % 1.71/1.90 (define @t3487 () (=> @t3486 @t3484)) % 1.71/1.90 (define @t3488 () (forall @t159 (or @t3485 @t2356))) % 1.71/1.90 (define @t3489 () (=> @t3488 @t3487)) % 1.71/1.90 (define @t3490 () (forall @t159 (or @t2357 @t3107 @t3462))) % 1.71/1.90 (define @t3491 () (=> @t3490 @t3489)) % 1.71/1.90 (define @t3492 () (@var "BOUND_VARIABLE_10824" $$unsorted)) % 1.71/1.90 (define @t3493 () (not (_ @t143 @t3492))) % 1.71/1.90 (define @t3494 () (_ @t143 @t3332)) % 1.71/1.90 (define @t3495 () (@list @t143 @t3492)) % 1.71/1.90 (define @t3496 () (forall @t3495 (or @t3494 @t3493 (not (forall @t70 (or @t3116 (= @t19 @t3492))))))) % 1.71/1.90 (define @t3497 () (=> @t3496 @t3491)) % 1.71/1.90 (define @t3498 () (@var "BOUND_VARIABLE_10744" $$unsorted)) % 1.71/1.90 (define @t3499 () (tptp.in @t3498 @t95)) % 1.71/1.90 (define @t3500 () (not (tptp.in @t3498 @t93))) % 1.71/1.90 (define @t3501 () (tptp.in @t4 @t93)) % 1.71/1.90 (define @t3502 () (tptp.in @t93 @t1)) % 1.71/1.90 (define @t3503 () (not @t3502)) % 1.71/1.90 (define @t3504 () (or @t3503 @t3501 @t3500 @t3499)) % 1.71/1.90 (define @t3505 () (@list @t93 @t3498)) % 1.71/1.90 (define @t3506 () (forall @t3505 @t3504)) % 1.71/1.90 (define @t3507 () (not @t3506)) % 1.71/1.90 (define @t3508 () (tptp.in @t19 @t104)) % 1.71/1.90 (define @t3509 () (tptp.in @t19 @t95)) % 1.71/1.90 (define @t3510 () (forall @t70 (or (not @t3509) (not @t3508)))) % 1.71/1.90 (define @t3511 () (not @t3510)) % 1.71/1.90 (define @t3512 () (tptp.in @t4 @t104)) % 1.71/1.90 (define @t3513 () (not @t3512)) % 1.71/1.90 (define @t3514 () (tptp.in @t95 @t1)) % 1.71/1.90 (define @t3515 () (not @t3514)) % 1.71/1.90 (define @t3516 () (not (forall @t112 (or @t3515 @t3513 @t3511 @t3507)))) % 1.71/1.90 (define @t3517 () (@var "BOUND_VARIABLE_10773" $$unsorted)) % 1.71/1.90 (define @t3518 () (not (tptp.in @t3517 @t104))) % 1.71/1.90 (define @t3519 () (forall @t9 (or @t3513 @t2356))) % 1.71/1.90 (define @t3520 () (not @t3519)) % 1.71/1.90 (define @t3521 () (or @t3520 @t3518 @t3516)) % 1.71/1.90 (define @t3522 () (forall (@list @t104 @t3517) @t3521)) % 1.71/1.90 (define @t3523 () (not @t3522)) % 1.71/1.90 (define @t3524 () (@var "BOUND_VARIABLE_10696" $$unsorted)) % 1.71/1.90 (define @t3525 () (tptp.in @t3524 @t104)) % 1.71/1.90 (define @t3526 () (not (tptp.in @t3524 @t95))) % 1.71/1.90 (define @t3527 () (@var "BOUND_VARIABLE_10690" $$unsorted)) % 1.71/1.90 (define @t3528 () (tptp.in @t3527 @t95)) % 1.71/1.90 (define @t3529 () (not (tptp.in @t3527 @t104))) % 1.71/1.90 (define @t3530 () (tptp.in @t104 @t1)) % 1.71/1.90 (define @t3531 () (not @t3530)) % 1.71/1.90 (define @t3532 () (or @t3531 @t3515 @t3529 @t3528 @t3526 @t3525)) % 1.71/1.90 (define @t3533 () (@list @t104 @t95 @t3527 @t3524)) % 1.71/1.90 (define @t3534 () (forall @t3533 @t3532)) % 1.71/1.90 (define @t3535 () (not @t3534)) % 1.71/1.90 (define @t3536 () (forall @t118 (or @t3531 (= @t3512 @t3508)))) % 1.71/1.90 (define @t3537 () (not @t3536)) % 1.71/1.90 (define @t3538 () (forall @t135 (or @t2357 @t2175 @t3537 @t129))) % 1.71/1.90 (define @t3539 () (not @t3538)) % 1.71/1.90 (define @t3540 () (@var "BOUND_VARIABLE_10639" $$unsorted)) % 1.71/1.90 (define @t3541 () (tptp.in @t3540 @t2)) % 1.71/1.90 (define @t3542 () (not (tptp.in @t3540 @t104))) % 1.71/1.90 (define @t3543 () (or @t3531 @t3542 @t3541)) % 1.71/1.90 (define @t3544 () (@list @t104 @t3540)) % 1.71/1.90 (define @t3545 () (forall @t3544 @t3543)) % 1.71/1.90 (define @t3546 () (not @t3545)) % 1.71/1.90 (define @t3547 () (or @t3546 @t3539 @t3535 @t3523)) % 1.71/1.90 (define @t3548 () (forall @t64 (not (forall @t41 @t3547)))) % 1.71/1.90 (define @t3549 () (=> @t3548 @t3497)) % 1.71/1.90 (define @t3550 () (forall @t9 (or @t2180 @t2357))) % 1.71/1.90 (define @t3551 () (not @t3550)) % 1.71/1.90 (define @t3552 () (not (forall @t41 (or @t3419 @t3551)))) % 1.71/1.90 (define @t3553 () (@var "BOUND_VARIABLE_10614" $$unsorted)) % 1.71/1.90 (define @t3554 () (not (tptp.in @t3553 @t2))) % 1.71/1.90 (define @t3555 () (or @t3554 @t3552)) % 1.71/1.90 (define @t3556 () (forall (@list @t2 @t3553) @t3555)) % 1.71/1.90 (define @t3557 () (=> @t3556 @t3549)) % 1.71/1.90 (define @t3558 () (_ @t67 @t19 @t4)) % 1.71/1.90 (define @t3559 () (not (forall @t70 (or @t2175 (not @t3558))))) % 1.71/1.90 (define @t3560 () (forall @t9 (= @t2179 @t3559))) % 1.71/1.90 (define @t3561 () (not (forall @t41 (not @t3560)))) % 1.71/1.90 (define @t3562 () (@var "BOUND_VARIABLE_10506" $$unsorted)) % 1.71/1.90 (define @t3563 () (= @t19 @t3562)) % 1.71/1.90 (define @t3564 () (not (forall @t70 (or @t2399 @t3563)))) % 1.71/1.90 (define @t3565 () (_ @t67 @t4 @t3562)) % 1.71/1.90 (define @t3566 () (@list @t3562)) % 1.71/1.90 (define @t3567 () (not (forall @t3566 (or (not @t3565) @t3564)))) % 1.71/1.90 (define @t3568 () (forall @t9 (or @t2357 @t3567))) % 1.71/1.90 (define @t3569 () (forall @t81 (or (not @t3568) @t3561))) % 1.71/1.90 (define @t3570 () (=> @t3569 @t3557)) % 1.71/1.90 (define @t3571 () (@var "BOUND_VARIABLE_10487" $$unsorted)) % 1.71/1.90 (define @t3572 () (tptp.in @t3571 @t2)) % 1.71/1.90 (define @t3573 () (not (tptp.in @t3571 tptp.omega))) % 1.71/1.90 (define @t3574 () (tptp.setadjoin @t4 @t4)) % 1.71/1.90 (define @t3575 () (tptp.in @t3574 @t2)) % 1.71/1.90 (define @t3576 () (tptp.in @t4 tptp.omega)) % 1.71/1.90 (define @t3577 () (not @t3576)) % 1.71/1.90 (define @t3578 () (forall @t9 (or @t3577 @t2357 @t3575))) % 1.71/1.90 (define @t3579 () (not @t3578)) % 1.71/1.90 (define @t3580 () (tptp.in tptp.emptyset @t2)) % 1.71/1.90 (define @t3581 () (not @t3580)) % 1.71/1.90 (define @t3582 () (or @t3581 @t3579 @t3573 @t3572)) % 1.71/1.90 (define @t3583 () (@list @t2 @t3571)) % 1.71/1.90 (define @t3584 () (forall @t3583 @t3582)) % 1.71/1.90 (define @t3585 () (=> @t3584 @t3570)) % 1.71/1.90 (define @t3586 () (tptp.in @t3574 tptp.omega)) % 1.71/1.90 (define @t3587 () (forall @t9 (or @t3577 @t3586))) % 1.71/1.90 (define @t3588 () (=> @t3587 @t3585)) % 1.71/1.90 (define @t3589 () (tptp.in tptp.emptyset tptp.omega)) % 1.71/1.90 (define @t3590 () (=> @t50 @t3588)) % 1.71/1.90 (define @t3591 () (forall @t46 (= @t3421 @t3142))) % 1.71/1.90 (define @t3592 () (=> @t3591 @t3590)) % 1.71/1.90 (define @t3593 () (forall @t12 (= @t3432 @t3285))) % 1.71/1.90 (define @t3594 () (=> @t3593 @t3592)) % 1.71/1.90 (define @t3595 () (or @t129 @t2174)) % 1.71/1.90 (define @t3596 () (forall @t28 (= @t3441 @t3595))) % 1.71/1.90 (define @t3597 () (=> @t3596 @t3594)) % 1.71/1.90 (define @t3598 () (=> @t3478 @t3597)) % 1.71/1.90 (define @t3599 () (forall @t9 (= @t2179 @t2356))) % 1.71/1.90 (define @t3600 () (forall @t12 (or (not @t3599) @t3))) % 1.71/1.90 (define @t3601 () (=> @t3600 @t3598)) % 1.71/1.90 (define @t3602 () (=> @t2855 (=> true @t2852))) % 1.71/1.90 (define @t3603 () (=> @t2851 @t3602)) % 1.71/1.90 (define @t3604 () (=> true (=> true @t3603))) % 1.71/1.90 (define @t3605 () (=> @t2862 @t3604)) % 1.71/1.90 (define @t3606 () (=> @t2869 @t3605)) % 1.71/1.90 (define @t3607 () (=> @t2889 @t3606)) % 1.71/1.90 (define @t3608 () (=> @t2896 @t3607)) % 1.71/1.90 (define @t3609 () (=> @t2904 @t3608)) % 1.71/1.90 (define @t3610 () (=> @t2917 @t3609)) % 1.71/1.90 (define @t3611 () (=> @t2925 @t3610)) % 1.71/1.90 (define @t3612 () (=> @t2931 @t3611)) % 1.71/1.90 (define @t3613 () (=> @t2937 @t3612)) % 1.71/1.90 (define @t3614 () (=> @t2949 @t3613)) % 1.71/1.90 (define @t3615 () (=> @t2962 @t3614)) % 1.71/1.90 (define @t3616 () (=> @t2962 @t3615)) % 1.71/1.90 (define @t3617 () (=> @t2963 @t3616)) % 1.71/1.90 (define @t3618 () (=> @t2964 @t3617)) % 1.71/1.90 (define @t3619 () (=> @t2969 @t3618)) % 1.71/1.90 (define @t3620 () (=> @t2970 @t3619)) % 1.71/1.90 (define @t3621 () (=> @t2976 @t3620)) % 1.71/1.90 (define @t3622 () (=> @t2977 @t3621)) % 1.71/1.90 (define @t3623 () (=> @t2983 @t3622)) % 1.71/1.90 (define @t3624 () (=> @t2989 @t3623)) % 1.71/1.90 (define @t3625 () (=> @t2995 @t3624)) % 1.71/1.90 (define @t3626 () (=> @t3000 @t3625)) % 1.71/1.90 (define @t3627 () (=> @t3001 @t3626)) % 1.71/1.90 (define @t3628 () (=> @t3002 @t3627)) % 1.71/1.90 (define @t3629 () (=> @t3009 @t3628)) % 1.71/1.90 (define @t3630 () (=> @t3010 @t3629)) % 1.71/1.90 (define @t3631 () (=> @t3012 @t3630)) % 1.71/1.90 (define @t3632 () (=> @t3019 @t3631)) % 1.71/1.90 (define @t3633 () (=> @t3026 @t3632)) % 1.71/1.90 (define @t3634 () (=> @t3032 @t3633)) % 1.71/1.90 (define @t3635 () (=> @t3038 @t3634)) % 1.71/1.90 (define @t3636 () (=> @t3041 (=> true @t3635))) % 1.71/1.90 (define @t3637 () (=> @t3042 @t3636)) % 1.71/1.90 (define @t3638 () (=> @t3044 @t3637)) % 1.71/1.90 (define @t3639 () (=> @t3047 @t3638)) % 1.71/1.90 (define @t3640 () (=> @t3050 @t3639)) % 1.71/1.90 (define @t3641 () (=> @t3057 @t3640)) % 1.71/1.90 (define @t3642 () (=> @t3060 @t3641)) % 1.71/1.90 (define @t3643 () (=> @t3071 @t3642)) % 1.71/1.90 (define @t3644 () (=> @t3072 @t3643)) % 1.71/1.90 (define @t3645 () (=> @t3076 @t3644)) % 1.71/1.90 (define @t3646 () (=> @t3079 @t3645)) % 1.71/1.90 (define @t3647 () (=> @t3081 @t3646)) % 1.71/1.90 (define @t3648 () (=> @t3082 @t3647)) % 1.71/1.90 (define @t3649 () (=> @t3083 @t3648)) % 1.71/1.90 (define @t3650 () (=> @t3085 @t3649)) % 1.71/1.90 (define @t3651 () (=> @t3088 @t3650)) % 1.71/1.90 (define @t3652 () (=> @t3090 @t3651)) % 1.71/1.90 (define @t3653 () (=> @t3095 @t3652)) % 1.71/1.90 (define @t3654 () (=> @t3097 @t3653)) % 1.71/1.90 (define @t3655 () (=> @t3098 @t3654)) % 1.71/1.90 (define @t3656 () (=> @t3114 @t3655)) % 1.71/1.90 (define @t3657 () (=> @t3119 @t3656)) % 1.71/1.90 (define @t3658 () (=> @t3122 @t3657)) % 1.71/1.90 (define @t3659 () (=> @t3130 @t3658)) % 1.71/1.90 (define @t3660 () (=> @t3132 @t3659)) % 1.71/1.90 (define @t3661 () (=> @t3136 @t3660)) % 1.71/1.90 (define @t3662 () (=> @t3138 @t3661)) % 1.71/1.90 (define @t3663 () (=> @t3144 @t3662)) % 1.71/1.90 (define @t3664 () (=> @t3145 @t3663)) % 1.71/1.90 (define @t3665 () (=> @t3152 @t3664)) % 1.71/1.90 (define @t3666 () (=> @t3158 @t3665)) % 1.71/1.90 (define @t3667 () (=> @t3167 @t3666)) % 1.71/1.90 (define @t3668 () (=> @t3173 @t3667)) % 1.71/1.90 (define @t3669 () (=> @t3179 @t3668)) % 1.71/1.90 (define @t3670 () (=> @t3185 @t3669)) % 1.71/1.90 (define @t3671 () (=> @t3191 @t3670)) % 1.71/1.90 (define @t3672 () (=> @t3194 @t3671)) % 1.71/1.90 (define @t3673 () (=> @t3196 @t3672)) % 1.71/1.90 (define @t3674 () (=> @t3198 @t3673)) % 1.71/1.90 (define @t3675 () (=> @t3200 @t3674)) % 1.71/1.90 (define @t3676 () (=> @t3202 @t3675)) % 1.71/1.90 (define @t3677 () (=> @t3204 @t3676)) % 1.71/1.90 (define @t3678 () (=> @t3207 @t3677)) % 1.71/1.90 (define @t3679 () (=> @t3209 @t3678)) % 1.71/1.90 (define @t3680 () (=> @t3211 @t3679)) % 1.71/1.90 (define @t3681 () (=> @t3215 @t3680)) % 1.71/1.90 (define @t3682 () (=> @t3216 @t3681)) % 1.71/1.90 (define @t3683 () (=> @t3217 @t3682)) % 1.71/1.90 (define @t3684 () (=> @t3218 @t3683)) % 1.71/1.90 (define @t3685 () (=> @t3221 @t3684)) % 1.71/1.90 (define @t3686 () (=> @t3225 @t3685)) % 1.71/1.90 (define @t3687 () (=> @t3227 @t3686)) % 1.71/1.90 (define @t3688 () (=> @t3230 @t3687)) % 1.71/1.90 (define @t3689 () (=> @t3231 @t3688)) % 1.71/1.90 (define @t3690 () (=> @t3232 @t3689)) % 1.71/1.90 (define @t3691 () (=> @t3233 @t3690)) % 1.71/1.90 (define @t3692 () (=> @t3235 @t3691)) % 1.71/1.90 (define @t3693 () (=> @t3236 @t3692)) % 1.71/1.90 (define @t3694 () (=> @t3237 @t3693)) % 1.71/1.90 (define @t3695 () (=> @t3238 @t3694)) % 1.71/1.90 (define @t3696 () (=> @t3244 @t3695)) % 1.71/1.90 (define @t3697 () (=> @t3246 @t3696)) % 1.71/1.90 (define @t3698 () (=> @t3250 @t3697)) % 1.71/1.90 (define @t3699 () (=> @t3252 @t3698)) % 1.71/1.90 (define @t3700 () (=> @t3255 @t3699)) % 1.71/1.90 (define @t3701 () (=> @t3258 @t3700)) % 1.71/1.90 (define @t3702 () (=> @t3259 @t3701)) % 1.71/1.90 (define @t3703 () (=> @t3260 @t3702)) % 1.71/1.90 (define @t3704 () (=> @t3262 @t3703)) % 1.71/1.90 (define @t3705 () (=> @t3263 @t3704)) % 1.71/1.90 (define @t3706 () (=> @t3267 @t3705)) % 1.71/1.90 (define @t3707 () (=> @t3268 @t3706)) % 1.71/1.90 (define @t3708 () (=> @t3270 @t3707)) % 1.71/1.90 (define @t3709 () (=> @t3272 @t3708)) % 1.71/1.90 (define @t3710 () (=> @t3275 @t3709)) % 1.71/1.90 (define @t3711 () (=> @t3275 @t3710)) % 1.71/1.90 (define @t3712 () (=> @t3276 @t3711)) % 1.71/1.90 (define @t3713 () (=> @t3211 @t3712)) % 1.71/1.90 (define @t3714 () (=> @t3277 @t3713)) % 1.71/1.90 (define @t3715 () (=> @t3278 @t3714)) % 1.71/1.90 (define @t3716 () (=> @t3279 @t3715)) % 1.71/1.90 (define @t3717 () (=> @t3282 @t3716)) % 1.71/1.90 (define @t3718 () (=> @t3284 @t3717)) % 1.71/1.90 (define @t3719 () (=> @t3287 @t3718)) % 1.71/1.90 (define @t3720 () (=> @t3288 @t3719)) % 1.71/1.90 (define @t3721 () (=> @t3290 @t3720)) % 1.71/1.90 (define @t3722 () (=> @t3291 @t3721)) % 1.71/1.90 (define @t3723 () (=> @t3293 @t3722)) % 1.71/1.90 (define @t3724 () (=> @t3296 @t3723)) % 1.71/1.90 (define @t3725 () (=> @t3299 @t3724)) % 1.71/1.90 (define @t3726 () (=> @t3302 @t3725)) % 1.71/1.90 (define @t3727 () (=> @t3304 @t3726)) % 1.71/1.90 (define @t3728 () (=> @t3306 (=> true @t3727))) % 1.71/1.90 (define @t3729 () (=> @t3307 @t3728)) % 1.71/1.90 (define @t3730 () (=> @t3308 @t3729)) % 1.71/1.90 (define @t3731 () (=> @t3309 @t3730)) % 1.71/1.90 (define @t3732 () (=> @t3311 @t3731)) % 1.71/1.90 (define @t3733 () (=> @t3314 @t3732)) % 1.71/1.90 (define @t3734 () (=> @t3306 @t3733)) % 1.71/1.90 (define @t3735 () (=> @t3306 @t3734)) % 1.71/1.90 (define @t3736 () (=> @t3314 @t3735)) % 1.71/1.90 (define @t3737 () (=> @t3325 @t3736)) % 1.71/1.90 (define @t3738 () (=> @t3338 @t3737)) % 1.71/1.90 (define @t3739 () (=> @t3347 @t3738)) % 1.71/1.90 (define @t3740 () (=> true (=> true @t3739))) % 1.71/1.90 (define @t3741 () (=> true @t3740)) % 1.71/1.90 (define @t3742 () (=> true @t3741)) % 1.71/1.90 (define @t3743 () (=> true @t3742)) % 1.71/1.90 (define @t3744 () (=> @t3357 @t3743)) % 1.71/1.90 (define @t3745 () (=> @t3347 @t3744)) % 1.71/1.90 (define @t3746 () (=> true (=> true @t3745))) % 1.71/1.90 (define @t3747 () (=> @t3360 @t3746)) % 1.71/1.90 (define @t3748 () (=> @t3366 @t3747)) % 1.71/1.90 (define @t3749 () (=> true (=> true @t3748))) % 1.71/1.90 (define @t3750 () (=> true @t3749)) % 1.71/1.90 (define @t3751 () (=> @t3369 @t3750)) % 1.71/1.90 (define @t3752 () (=> @t3371 @t3751)) % 1.71/1.90 (define @t3753 () (=> true (=> true @t3752))) % 1.71/1.90 (define @t3754 () (=> true @t3753)) % 1.71/1.90 (define @t3755 () (=> true @t3754)) % 1.71/1.90 (define @t3756 () (=> @t3375 @t3755)) % 1.71/1.90 (define @t3757 () (=> @t3383 @t3756)) % 1.71/1.90 (define @t3758 () (=> @t3211 @t3757)) % 1.71/1.90 (define @t3759 () (=> @t3387 @t3758)) % 1.71/1.90 (define @t3760 () (=> @t3194 @t3759)) % 1.71/1.90 (define @t3761 () (=> @t3393 @t3760)) % 1.71/1.90 (define @t3762 () (=> @t3396 @t3761)) % 1.71/1.90 (define @t3763 () (=> @t3398 @t3762)) % 1.71/1.90 (define @t3764 () (=> @t3400 @t3763)) % 1.71/1.90 (define @t3765 () (=> @t3404 @t3764)) % 1.71/1.90 (define @t3766 () (=> @t3412 @t3765)) % 1.71/1.90 (define @t3767 () (=> @t3416 @t3766)) % 1.71/1.90 (define @t3768 () (=> @t3422 @t3767)) % 1.71/1.90 (define @t3769 () (=> @t3424 @t3768)) % 1.71/1.90 (define @t3770 () (=> @t3426 @t3769)) % 1.71/1.90 (define @t3771 () (=> @t3429 @t3770)) % 1.71/1.90 (define @t3772 () (=> @t3429 @t3771)) % 1.71/1.90 (define @t3773 () (=> @t3434 @t3772)) % 1.71/1.90 (define @t3774 () (=> @t3439 @t3773)) % 1.71/1.90 (define @t3775 () (=> @t3442 @t3774)) % 1.71/1.90 (define @t3776 () (=> @t3442 @t3775)) % 1.71/1.90 (define @t3777 () (=> @t3445 @t3776)) % 1.71/1.90 (define @t3778 () (=> @t221 @t3777)) % 1.71/1.90 (define @t3779 () (=> @t3452 @t3778)) % 1.71/1.90 (define @t3780 () (=> @t3457 @t3779)) % 1.71/1.90 (define @t3781 () (=> @t3459 @t3780)) % 1.71/1.90 (define @t3782 () (=> @t3404 @t3781)) % 1.71/1.90 (define @t3783 () (=> @t3463 @t3782)) % 1.71/1.90 (define @t3784 () (=> @t3465 @t3783)) % 1.71/1.90 (define @t3785 () (=> @t3465 @t3784)) % 1.71/1.90 (define @t3786 () (=> @t3469 @t3785)) % 1.71/1.90 (define @t3787 () (=> @t3476 @t3786)) % 1.71/1.90 (define @t3788 () (=> @t3478 @t3787)) % 1.71/1.90 (define @t3789 () (=> @t3478 @t3788)) % 1.71/1.90 (define @t3790 () (=> @t3478 @t3789)) % 1.71/1.90 (define @t3791 () (=> @t3483 @t3790)) % 1.71/1.90 (define @t3792 () (=> @t3486 (=> true @t3791))) % 1.71/1.90 (define @t3793 () (=> @t3488 @t3792)) % 1.71/1.90 (define @t3794 () (=> @t3490 @t3793)) % 1.71/1.90 (define @t3795 () (=> @t3496 @t3794)) % 1.71/1.90 (define @t3796 () (=> @t3548 @t3795)) % 1.71/1.90 (define @t3797 () (=> @t3556 @t3796)) % 1.71/1.90 (define @t3798 () (=> @t3569 @t3797)) % 1.71/1.90 (define @t3799 () (=> @t3584 @t3798)) % 1.71/1.90 (define @t3800 () (=> @t3587 @t3799)) % 1.71/1.90 (define @t3801 () (=> @t50 @t3800)) % 1.71/1.90 (define @t3802 () (=> @t3591 @t3801)) % 1.71/1.90 (define @t3803 () (=> @t3593 @t3802)) % 1.71/1.90 (define @t3804 () (=> @t3596 @t3803)) % 1.71/1.90 (define @t3805 () (=> @t3478 @t3804)) % 1.71/1.90 (define @t3806 () (=> @t3600 @t3805)) % 1.71/1.90 (define @t3807 () (not @t1832)) % 1.71/1.90 (define @t3808 () (or @t3807 @t1830)) % 1.71/1.90 (define @t3809 () (=> tptp.injFuncSetFuncInj @t2187)) % 1.71/1.90 (define @t3810 () (not @t1823)) % 1.71/1.90 (define @t3811 () (or @t3810 @t910)) % 1.71/1.90 (define @t3812 () (=> tptp.injFuncSetFuncIn @t3809)) % 1.71/1.90 (define @t3813 () (not @t1824)) % 1.71/1.90 (define @t3814 () (not @t910)) % 1.71/1.90 (define @t3815 () (or @t3814 @t3813 @t1823)) % 1.71/1.90 (define @t3816 () (=> tptp.injFuncInInjFuncSet @t3812)) % 1.71/1.90 (define @t3817 () (not true)) % 1.71/1.90 (define @t3818 () (not (= @t2198 @t2198))) % 1.71/1.90 (define @t3819 () (or @t2199 @t2196 @t3818)) % 1.71/1.90 (define @t3820 () (not (= @t4 @t2198))) % 1.71/1.90 (define @t3821 () (or @t3820 @t2205 @t2196 @t3820)) % 1.71/1.90 (define @t3822 () (or @t2205 @t2196 @t3820)) % 1.71/1.90 (define @t3823 () (forall @t9 @t3822)) % 1.71/1.90 (define @t3824 () (forall @t2201 @t3823)) % 1.71/1.90 (define @t3825 () (forall (@list @t2 @t918 @t2195 @t4) @t3822)) % 1.71/1.90 (define @t3826 () (@list @t2 @t918 @t4 @t2195)) % 1.71/1.90 (define @t3827 () (or @t2196 @t3820)) % 1.71/1.90 (define @t3828 () (or @t3827 @t2205)) % 1.71/1.90 (define @t3829 () (forall @t3826 @t3828)) % 1.71/1.90 (define @t3830 () (@list @t2195)) % 1.71/1.90 (define @t3831 () (forall @t3830 @t3828)) % 1.71/1.90 (define @t3832 () (forall @t3830 @t3827)) % 1.71/1.90 (define @t3833 () (@list @t19)) % 1.71/1.90 (define @t3834 () (or @t3832 @t2205)) % 1.71/1.90 (define @t3835 () (lambda @t70 @t2202)) % 1.71/1.90 (define @t3836 () (tptp.image1 @t2 @t3835)) % 1.71/1.90 (define @t3837 () (tptp.in @t4 @t3836)) % 1.71/1.90 (define @t3838 () (or @t2203 @t3837)) % 1.71/1.90 (define @t3839 () (or @t2203 @t1812)) % 1.71/1.90 (define @t3840 () (not @t1798)) % 1.71/1.90 (define @t3841 () (not @t21)) % 1.71/1.90 (define @t3842 () (or @t3841 @t3840)) % 1.71/1.90 (define @t3843 () (forall @t70 (not @t1799))) % 1.71/1.90 (define @t3844 () (not @t3843)) % 1.71/1.90 (define @t3845 () (=> tptp.image1I @t3816)) % 1.71/1.90 (define @t3846 () (not @t3837)) % 1.71/1.90 (define @t3847 () (or @t3846 @t2204)) % 1.71/1.90 (define @t3848 () (not @t1812)) % 1.71/1.90 (define @t3849 () (or @t3848 @t2204)) % 1.71/1.90 (define @t3850 () (=> tptp.image1E @t3845)) % 1.71/1.90 (define @t3851 () (= @t1812 @t2204)) % 1.71/1.90 (define @t3852 () (=> tptp.image1Equiv @t3850)) % 1.71/1.90 (define @t3853 () (not (= @t2206 @t2208))) % 1.71/1.90 (define @t3854 () (or @t2209 @t3853)) % 1.71/1.90 (define @t3855 () (forall @t2210 @t3854)) % 1.71/1.90 (define @t3856 () (not @t3855)) % 1.71/1.90 (define @t3857 () (= @t3856 @t2212)) % 1.71/1.90 (define @t3858 () (forall @t2213 @t3857)) % 1.71/1.90 (define @t3859 () (not @t3858)) % 1.71/1.90 (define @t3860 () (or @t3859 @t129)) % 1.71/1.90 (define @t3861 () (forall @t70 @t3860)) % 1.71/1.90 (define @t3862 () (not @t3861)) % 1.71/1.90 (define @t3863 () (or @t2218 @t3862)) % 1.71/1.90 (define @t3864 () (tptp.in @t4 @t19)) % 1.71/1.90 (define @t3865 () (not (forall @t2210 (or @t2209 (not (= @t4 @t2208)))))) % 1.71/1.90 (define @t3866 () (forall @t9 (= @t3865 @t3864))) % 1.71/1.90 (define @t3867 () (@list @t4)) % 1.71/1.90 (define @t3868 () (not @t3866)) % 1.71/1.90 (define @t3869 () (or @t3868 @t129)) % 1.71/1.90 (define @t3870 () (forall @t70 @t3869)) % 1.71/1.90 (define @t3871 () (not @t3870)) % 1.71/1.90 (define @t3872 () (or @t2218 @t3871)) % 1.71/1.90 (define @t3873 () (forall @t9 (= @t3864 @t3865))) % 1.71/1.90 (define @t3874 () (lambda @t41 @t2220)) % 1.71/1.90 (define @t3875 () (not (_ @t3874 @t19))) % 1.71/1.90 (define @t3876 () (or @t3875 @t129)) % 1.71/1.90 (define @t3877 () (forall @t70 @t3876)) % 1.71/1.90 (define @t3878 () (not @t3877)) % 1.71/1.90 (define @t3879 () (not (= @t2214 @t2202))) % 1.71/1.90 (define @t3880 () (or @t2175 @t3879)) % 1.71/1.90 (define @t3881 () (forall @t70 @t3880)) % 1.71/1.90 (define @t3882 () (not @t3881)) % 1.71/1.90 (define @t3883 () (forall @t2217 (= @t2216 @t3882))) % 1.71/1.90 (define @t3884 () (not (_ @t3874 @t4))) % 1.71/1.90 (define @t3885 () (or @t3884 @t3878)) % 1.71/1.90 (define @t3886 () (forall @t9 @t3885)) % 1.71/1.90 (define @t3887 () (not @t3886)) % 1.71/1.90 (define @t3888 () (lambda @t150 @t3355)) % 1.71/1.90 (define @t3889 () (= @t6 @t2204)) % 1.71/1.90 (define @t3890 () (forall @t1804 (_ @t3888 @t1807))) % 1.71/1.90 (define @t3891 () (or @t317 @t3353)) % 1.71/1.90 (define @t3892 () (and @t144 @t3352)) % 1.71/1.90 (define @t3893 () (forall @t9 (not @t3892))) % 1.71/1.90 (define @t3894 () (not @t3893)) % 1.71/1.90 (define @t3895 () (not @t153)) % 1.71/1.90 (define @t3896 () (or @t3895 @t129)) % 1.71/1.90 (define @t3897 () (=> tptp.image1Ex1 @t3852)) % 1.71/1.90 (define @t3898 () (=> tptp.image1Ex @t3897)) % 1.71/1.90 (define @t3899 () (or @t2228 @t2227 @t2226)) % 1.71/1.90 (define @t3900 () (or @t2230 @t3899)) % 1.71/1.90 (define @t3901 () (forall @t2232 @t3900)) % 1.71/1.90 (define @t3902 () (@list @t2225 @t2223)) % 1.71/1.90 (define @t3903 () (forall @t3902 @t3900)) % 1.71/1.90 (define @t3904 () (forall @t3902 @t3899)) % 1.71/1.90 (define @t3905 () (@var "BOUND_VARIABLE_18182" $$unsorted)) % 1.71/1.90 (define @t3906 () (or @t2230 @t3904)) % 1.71/1.90 (define @t3907 () (tptp.breln1invset @t2 @t3905)) % 1.71/1.90 (define @t3908 () (tptp.breln1invset @t2 @t994)) % 1.71/1.90 (define @t3909 () (tptp.binunion @t938 @t994)) % 1.71/1.90 (define @t3910 () (= (tptp.breln1compset @t2 @t3909 @t3905) (tptp.binunion (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t3907 @t3908)) (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t3907 @t2222))))) % 1.71/1.90 (define @t3911 () (not (tptp.breln1 @t2 @t3905))) % 1.71/1.90 (define @t3912 () (tptp.breln1 @t2 @t994)) % 1.71/1.90 (define @t3913 () (not @t3912)) % 1.71/1.90 (define @t3914 () (or @t3913 @t3911 @t3910)) % 1.71/1.90 (define @t3915 () (@list @t994 @t3905)) % 1.71/1.90 (define @t3916 () (forall @t3915 @t3914)) % 1.71/1.90 (define @t3917 () (not @t1559)) % 1.71/1.90 (define @t3918 () (or @t3917 @t3916)) % 1.71/1.90 (define @t3919 () (or @t3911 @t3910)) % 1.71/1.90 (define @t3920 () (or @t3913 @t3919)) % 1.71/1.90 (define @t3921 () (forall @t3915 @t3920)) % 1.71/1.90 (define @t3922 () (@list @t3905)) % 1.71/1.90 (define @t3923 () (forall @t3922 @t3920)) % 1.71/1.90 (define @t3924 () (forall @t3922 @t3919)) % 1.71/1.90 (define @t3925 () (@list @t1770)) % 1.71/1.90 (define @t3926 () (or @t3913 @t3924)) % 1.71/1.90 (define @t3927 () (tptp.breln1invset @t2 @t1770)) % 1.71/1.90 (define @t3928 () (tptp.breln1compset @t2 @t3927 @t2222)) % 1.71/1.90 (define @t3929 () (tptp.breln1invset @t2 @t3928)) % 1.71/1.90 (define @t3930 () (tptp.breln1compset @t2 @t3927 @t3908)) % 1.71/1.90 (define @t3931 () (tptp.breln1invset @t2 @t3930)) % 1.71/1.90 (define @t3932 () (tptp.binunion @t3931 @t3929)) % 1.71/1.90 (define @t3933 () (tptp.breln1compset @t2 @t3909 @t1770)) % 1.71/1.90 (define @t3934 () (tptp.breln1 @t2 @t1770)) % 1.71/1.90 (define @t3935 () (not @t3934)) % 1.71/1.90 (define @t3936 () (forall @t1777 (or @t3935 (= @t3933 @t3932)))) % 1.71/1.90 (define @t3937 () (not @t1604)) % 1.71/1.90 (define @t3938 () (or @t3937 @t3936)) % 1.71/1.90 (define @t3939 () (_ @t1641 @t3927)) % 1.71/1.90 (define @t3940 () (not @t1776)) % 1.71/1.90 (define @t3941 () (or @t3940 @t1791)) % 1.71/1.90 (define @t3942 () (=> tptp.woz2B @t3898)) % 1.71/1.90 (define @t3943 () (or @t2237 @t2236 @t2235)) % 1.71/1.90 (define @t3944 () (or @t2230 @t3943)) % 1.71/1.90 (define @t3945 () (forall @t2239 @t3944)) % 1.71/1.90 (define @t3946 () (@list @t2234 @t2233)) % 1.71/1.90 (define @t3947 () (forall @t3946 @t3944)) % 1.71/1.90 (define @t3948 () (forall @t3946 @t3943)) % 1.71/1.90 (define @t3949 () (@var "BOUND_VARIABLE_18115" $$unsorted)) % 1.71/1.90 (define @t3950 () (or @t2230 @t3948)) % 1.71/1.90 (define @t3951 () (= (tptp.breln1compset @t2 @t3909 @t3949) (tptp.binunion (tptp.breln1compset @t2 @t938 @t3949) (tptp.breln1compset @t2 @t994 @t3949)))) % 1.71/1.90 (define @t3952 () (not (tptp.breln1 @t2 @t3949))) % 1.71/1.90 (define @t3953 () (or @t3913 @t3952 @t3951)) % 1.71/1.90 (define @t3954 () (@list @t994 @t3949)) % 1.71/1.90 (define @t3955 () (forall @t3954 @t3953)) % 1.71/1.90 (define @t3956 () (or @t3917 @t3955)) % 1.71/1.90 (define @t3957 () (or @t3952 @t3951)) % 1.71/1.90 (define @t3958 () (or @t3913 @t3957)) % 1.71/1.90 (define @t3959 () (forall @t3954 @t3958)) % 1.71/1.90 (define @t3960 () (@list @t3949)) % 1.71/1.90 (define @t3961 () (forall @t3960 @t3958)) % 1.71/1.90 (define @t3962 () (forall @t3960 @t3957)) % 1.71/1.90 (define @t3963 () (or @t3913 @t3962)) % 1.71/1.90 (define @t3964 () (tptp.breln1compset @t2 @t994 @t1770)) % 1.71/1.90 (define @t3965 () (tptp.breln1compset @t2 @t938 @t1770)) % 1.71/1.90 (define @t3966 () (tptp.binunion @t3965 @t3964)) % 1.71/1.90 (define @t3967 () (forall @t1777 (or @t3935 (= @t3933 @t3966)))) % 1.71/1.90 (define @t3968 () (or @t3937 @t3967)) % 1.71/1.90 (define @t3969 () (or @t3940 @t1775)) % 1.71/1.90 (define @t3970 () (=> tptp.woz2A @t3942)) % 1.71/1.90 (define @t3971 () (or @t2242 @t2241)) % 1.71/1.90 (define @t3972 () (or @t2230 @t3971)) % 1.71/1.90 (define @t3973 () (forall @t2244 @t3972)) % 1.71/1.90 (define @t3974 () (@list @t2240)) % 1.71/1.90 (define @t3975 () (forall @t3974 @t3972)) % 1.71/1.90 (define @t3976 () (forall @t3974 @t3971)) % 1.71/1.90 (define @t3977 () (@list @t994)) % 1.71/1.90 (define @t3978 () (or @t2230 @t3976)) % 1.71/1.90 (define @t3979 () (tptp.breln1compset @t2 @t3908 @t2222)) % 1.71/1.90 (define @t3980 () (tptp.breln1compset @t2 @t938 @t994)) % 1.71/1.90 (define @t3981 () (tptp.breln1invset @t2 @t3980)) % 1.71/1.90 (define @t3982 () (forall @t1004 (or @t3913 (= @t3981 @t3979)))) % 1.71/1.90 (define @t3983 () (or @t3917 @t3982)) % 1.71/1.90 (define @t3984 () (or @t3937 @t1765)) % 1.71/1.90 (define @t3985 () (=> tptp.woz2W @t3970)) % 1.71/1.90 (define @t3986 () (or @t3917 @t1759)) % 1.71/1.90 (define @t3987 () (=> tptp.woz2Ex @t3985)) % 1.71/1.90 (define @t3988 () (or @t2248 @t2247)) % 1.71/1.90 (define @t3989 () (or @t2230 @t3988)) % 1.71/1.90 (define @t3990 () (forall @t2250 @t3989)) % 1.71/1.90 (define @t3991 () (@list @t2246)) % 1.71/1.90 (define @t3992 () (forall @t3991 @t3989)) % 1.71/1.90 (define @t3993 () (forall @t3991 @t3988)) % 1.71/1.90 (define @t3994 () (or @t2230 @t3993)) % 1.71/1.90 (define @t3995 () (tptp.binunion @t994 @t938)) % 1.71/1.90 (define @t3996 () (forall @t1004 (or @t3913 (= @t3909 @t3995)))) % 1.71/1.90 (define @t3997 () (or @t3917 @t3996)) % 1.71/1.90 (define @t3998 () (or @t3937 @t1753)) % 1.71/1.90 (define @t3999 () (=> tptp.breln1unionCommutes @t3987)) % 1.71/1.90 (define @t4000 () (or @t2260 @t2259 @t2258 @t2257 @t2256 @t2255)) % 1.71/1.90 (define @t4001 () (or @t2230 @t4000)) % 1.71/1.90 (define @t4002 () (forall @t2262 @t4001)) % 1.71/1.90 (define @t4003 () (@list @t2251 @t2253 @t2252)) % 1.71/1.90 (define @t4004 () (forall @t4003 @t4001)) % 1.71/1.90 (define @t4005 () (forall @t4003 @t4000)) % 1.71/1.90 (define @t4006 () (@var "BOUND_VARIABLE_17948" $$unsorted)) % 1.71/1.90 (define @t4007 () (@var "BOUND_VARIABLE_17946" $$unsorted)) % 1.71/1.90 (define @t4008 () (or @t2230 @t4005)) % 1.71/1.90 (define @t4009 () (tptp.kpair @t4007 @t4006)) % 1.71/1.90 (define @t4010 () (tptp.in @t4009 @t994)) % 1.71/1.90 (define @t4011 () (tptp.in @t4009 @t938)) % 1.71/1.90 (define @t4012 () (not (tptp.in @t4009 @t3909))) % 1.71/1.90 (define @t4013 () (not (tptp.in @t4006 @t2))) % 1.71/1.90 (define @t4014 () (not (tptp.in @t4007 @t2))) % 1.71/1.90 (define @t4015 () (or @t3913 @t4014 @t4013 @t4012 @t4011 @t4010)) % 1.71/1.90 (define @t4016 () (@list @t994 @t4007 @t4006)) % 1.71/1.90 (define @t4017 () (forall @t4016 @t4015)) % 1.71/1.90 (define @t4018 () (or @t3917 @t4017)) % 1.71/1.90 (define @t4019 () (or @t4014 @t4013 @t4012 @t4011 @t4010)) % 1.71/1.90 (define @t4020 () (or @t3913 @t4019)) % 1.71/1.90 (define @t4021 () (forall @t4016 @t4020)) % 1.71/1.90 (define @t4022 () (@list @t4007 @t4006)) % 1.71/1.90 (define @t4023 () (forall @t4022 @t4020)) % 1.71/1.90 (define @t4024 () (forall @t4022 @t4019)) % 1.71/1.90 (define @t4025 () (@var "BOUND_VARIABLE_17925" $$unsorted)) % 1.71/1.90 (define @t4026 () (or @t3913 @t4024)) % 1.71/1.90 (define @t4027 () (tptp.kpair @t4 @t4025)) % 1.71/1.90 (define @t4028 () (tptp.in @t4027 @t994)) % 1.71/1.90 (define @t4029 () (tptp.in @t4027 @t938)) % 1.71/1.90 (define @t4030 () (not (tptp.in @t4027 @t3909))) % 1.71/1.90 (define @t4031 () (not (tptp.in @t4025 @t2))) % 1.71/1.90 (define @t4032 () (or @t2357 @t4031 @t4030 @t4029 @t4028)) % 1.71/1.90 (define @t4033 () (@list @t4 @t4025)) % 1.71/1.90 (define @t4034 () (forall @t4033 @t4032)) % 1.71/1.90 (define @t4035 () (or @t3937 @t4034)) % 1.71/1.90 (define @t4036 () (or @t4031 @t4030 @t4029 @t4028)) % 1.71/1.90 (define @t4037 () (or @t2357 @t4036)) % 1.71/1.90 (define @t4038 () (forall @t4033 @t4037)) % 1.71/1.90 (define @t4039 () (@list @t4025)) % 1.71/1.90 (define @t4040 () (forall @t4039 @t4037)) % 1.71/1.90 (define @t4041 () (forall @t4039 @t4036)) % 1.71/1.90 (define @t4042 () (or @t2357 @t4041)) % 1.71/1.90 (define @t4043 () (tptp.in @t2997 @t994)) % 1.71/1.90 (define @t4044 () (tptp.in @t2997 @t938)) % 1.71/1.90 (define @t4045 () (tptp.in @t2997 @t3909)) % 1.71/1.90 (define @t4046 () (forall @t70 (or @t2175 (not @t4045) @t4044 @t4043))) % 1.71/1.90 (define @t4047 () (or @t197 @t4046)) % 1.71/1.90 (define @t4048 () (_ tptp.in @t2997)) % 1.71/1.90 (define @t4049 () (not @t1700)) % 1.71/1.90 (define @t4050 () (or @t3841 @t4049 @t4044 @t4043)) % 1.71/1.90 (define @t4051 () (or @t4049 @t4044 @t4043)) % 1.71/1.90 (define @t4052 () (or @t4044 @t4043)) % 1.71/1.90 (define @t4053 () (=> @t1700 @t4052)) % 1.71/1.90 (define @t4054 () (not false)) % 1.71/1.90 (define @t4055 () (and @t4043 @t4054)) % 1.71/1.90 (define @t4056 () (and @t4044 @t4054)) % 1.71/1.90 (define @t4057 () (or @t4056 @t4055)) % 1.71/1.90 (define @t4058 () (or @t4056 @t4055 false)) % 1.71/1.90 (define @t4059 () (and @t4043 @t1064)) % 1.71/1.90 (define @t4060 () (and @t4044 @t1064)) % 1.71/1.90 (define @t4061 () (not (= @t173 false))) % 1.71/1.90 (define @t4062 () (not @t1064)) % 1.71/1.90 (define @t4063 () (or @t173 @t4060 @t4059 @t173)) % 1.71/1.90 (define @t4064 () (or @t4060 @t4059 @t173)) % 1.71/1.90 (define @t4065 () (and @t996 @t1064)) % 1.71/1.90 (define @t4066 () (and @t942 @t1064)) % 1.71/1.90 (define @t4067 () (or @t4066 @t4065 @t173)) % 1.71/1.90 (define @t4068 () (=> tptp.breln1unionEcases @t3999)) % 1.71/1.90 (define @t4069 () (or @t3841 @t4049 @t942 @t996)) % 1.71/1.90 (define @t4070 () (or @t4049 @t942 @t996)) % 1.71/1.90 (define @t4071 () (=> tptp.breln1unionE @t4068)) % 1.71/1.90 (define @t4072 () (or @t2272 @t2271 @t2270 @t2269 @t2268)) % 1.71/1.90 (define @t4073 () (or @t2230 @t4072)) % 1.71/1.90 (define @t4074 () (forall @t2274 @t4073)) % 1.71/1.90 (define @t4075 () (@list @t2264 @t2266 @t2265)) % 1.71/1.90 (define @t4076 () (forall @t4075 @t4073)) % 1.71/1.90 (define @t4077 () (forall @t4075 @t4072)) % 1.71/1.90 (define @t4078 () (@var "BOUND_VARIABLE_17859" $$unsorted)) % 1.71/1.90 (define @t4079 () (@var "BOUND_VARIABLE_17857" $$unsorted)) % 1.71/1.90 (define @t4080 () (or @t2230 @t4077)) % 1.71/1.90 (define @t4081 () (tptp.kpair @t4079 @t4078)) % 1.71/1.90 (define @t4082 () (tptp.in @t4081 @t3909)) % 1.71/1.90 (define @t4083 () (and (not (tptp.in @t4081 @t938)) (not (tptp.in @t4081 @t994)))) % 1.71/1.90 (define @t4084 () (not (tptp.in @t4078 @t2))) % 1.71/1.90 (define @t4085 () (not (tptp.in @t4079 @t2))) % 1.71/1.90 (define @t4086 () (or @t3913 @t4085 @t4084 @t4083 @t4082)) % 1.71/1.90 (define @t4087 () (@list @t994 @t4079 @t4078)) % 1.71/1.90 (define @t4088 () (forall @t4087 @t4086)) % 1.71/1.90 (define @t4089 () (or @t3917 @t4088)) % 1.71/1.90 (define @t4090 () (or @t4085 @t4084 @t4083 @t4082)) % 1.71/1.90 (define @t4091 () (or @t3913 @t4090)) % 1.71/1.90 (define @t4092 () (forall @t4087 @t4091)) % 1.71/1.90 (define @t4093 () (@list @t4079 @t4078)) % 1.71/1.90 (define @t4094 () (forall @t4093 @t4091)) % 1.71/1.90 (define @t4095 () (forall @t4093 @t4090)) % 1.71/1.90 (define @t4096 () (@var "BOUND_VARIABLE_17834" $$unsorted)) % 1.71/1.90 (define @t4097 () (or @t3913 @t4095)) % 1.71/1.90 (define @t4098 () (tptp.kpair @t4 @t4096)) % 1.71/1.90 (define @t4099 () (tptp.in @t4098 @t3909)) % 1.71/1.90 (define @t4100 () (and (not (tptp.in @t4098 @t938)) (not (tptp.in @t4098 @t994)))) % 1.71/1.90 (define @t4101 () (not (tptp.in @t4096 @t2))) % 1.71/1.90 (define @t4102 () (or @t2357 @t4101 @t4100 @t4099)) % 1.71/1.90 (define @t4103 () (@list @t4 @t4096)) % 1.71/1.90 (define @t4104 () (forall @t4103 @t4102)) % 1.71/1.90 (define @t4105 () (or @t3937 @t4104)) % 1.71/1.90 (define @t4106 () (or @t4101 @t4100 @t4099)) % 1.71/1.90 (define @t4107 () (or @t2357 @t4106)) % 1.71/1.90 (define @t4108 () (forall @t4103 @t4107)) % 1.71/1.90 (define @t4109 () (@list @t4096)) % 1.71/1.90 (define @t4110 () (forall @t4109 @t4107)) % 1.71/1.90 (define @t4111 () (forall @t4109 @t4106)) % 1.71/1.90 (define @t4112 () (or @t2357 @t4111)) % 1.71/1.90 (define @t4113 () (not @t4043)) % 1.71/1.90 (define @t4114 () (not @t4044)) % 1.71/1.90 (define @t4115 () (forall @t70 (or @t2175 (and @t4114 @t4113) @t4045))) % 1.71/1.90 (define @t4116 () (or @t197 @t4115)) % 1.71/1.90 (define @t4117 () (not @t996)) % 1.71/1.90 (define @t4118 () (not @t942)) % 1.71/1.90 (define @t4119 () (and @t4118 @t4117)) % 1.71/1.90 (define @t4120 () (or @t3841 @t4119 @t1700)) % 1.71/1.90 (define @t4121 () (=> tptp.breln1unionI @t4071)) % 1.71/1.90 (define @t4122 () (or @t2283 @t2282 @t2281 @t2280 @t2279)) % 1.71/1.90 (define @t4123 () (or @t2230 @t4122)) % 1.71/1.90 (define @t4124 () (forall @t2285 @t4123)) % 1.71/1.90 (define @t4125 () (@list @t2275 @t2277 @t2276)) % 1.71/1.90 (define @t4126 () (forall @t4125 @t4123)) % 1.71/1.90 (define @t4127 () (forall @t4125 @t4122)) % 1.71/1.90 (define @t4128 () (@var "BOUND_VARIABLE_17773" $$unsorted)) % 1.71/1.90 (define @t4129 () (@var "BOUND_VARIABLE_17771" $$unsorted)) % 1.71/1.90 (define @t4130 () (or @t2230 @t4127)) % 1.71/1.90 (define @t4131 () (tptp.kpair @t4129 @t4128)) % 1.71/1.90 (define @t4132 () (tptp.in @t4131 @t3909)) % 1.71/1.90 (define @t4133 () (not (tptp.in @t4131 @t994))) % 1.71/1.90 (define @t4134 () (not (tptp.in @t4128 @t2))) % 1.71/1.90 (define @t4135 () (not (tptp.in @t4129 @t2))) % 1.71/1.90 (define @t4136 () (or @t3913 @t4135 @t4134 @t4133 @t4132)) % 1.71/1.90 (define @t4137 () (@list @t994 @t4129 @t4128)) % 1.71/1.90 (define @t4138 () (forall @t4137 @t4136)) % 1.71/1.90 (define @t4139 () (or @t3917 @t4138)) % 1.71/1.90 (define @t4140 () (or @t4135 @t4134 @t4133 @t4132)) % 1.71/1.90 (define @t4141 () (or @t3913 @t4140)) % 1.71/1.90 (define @t4142 () (forall @t4137 @t4141)) % 1.71/1.90 (define @t4143 () (@list @t4129 @t4128)) % 1.71/1.90 (define @t4144 () (forall @t4143 @t4141)) % 1.71/1.90 (define @t4145 () (forall @t4143 @t4140)) % 1.71/1.90 (define @t4146 () (@var "BOUND_VARIABLE_17751" $$unsorted)) % 1.71/1.90 (define @t4147 () (or @t3913 @t4145)) % 1.71/1.90 (define @t4148 () (tptp.kpair @t4 @t4146)) % 1.71/1.90 (define @t4149 () (tptp.in @t4148 @t3909)) % 1.71/1.90 (define @t4150 () (not (tptp.in @t4148 @t994))) % 1.71/1.90 (define @t4151 () (not (tptp.in @t4146 @t2))) % 1.71/1.90 (define @t4152 () (or @t2357 @t4151 @t4150 @t4149)) % 1.71/1.90 (define @t4153 () (@list @t4 @t4146)) % 1.71/1.90 (define @t4154 () (forall @t4153 @t4152)) % 1.71/1.90 (define @t4155 () (or @t3937 @t4154)) % 1.71/1.90 (define @t4156 () (or @t4151 @t4150 @t4149)) % 1.71/1.90 (define @t4157 () (or @t2357 @t4156)) % 1.71/1.90 (define @t4158 () (forall @t4153 @t4157)) % 1.71/1.90 (define @t4159 () (@list @t4146)) % 1.71/1.90 (define @t4160 () (forall @t4159 @t4157)) % 1.71/1.90 (define @t4161 () (forall @t4159 @t4156)) % 1.71/1.90 (define @t4162 () (or @t2357 @t4161)) % 1.71/1.90 (define @t4163 () (forall @t70 (or @t2175 @t4113 @t4045))) % 1.71/1.90 (define @t4164 () (or @t197 @t4163)) % 1.71/1.90 (define @t4165 () (or @t3841 @t4117 @t1700)) % 1.71/1.90 (define @t4166 () (=> tptp.breln1unionIR @t4121)) % 1.71/1.90 (define @t4167 () (or @t2294 @t2293 @t2292 @t2291 @t2290)) % 1.71/1.90 (define @t4168 () (or @t2230 @t4167)) % 1.71/1.90 (define @t4169 () (forall @t2296 @t4168)) % 1.71/1.90 (define @t4170 () (@list @t2286 @t2288 @t2287)) % 1.71/1.90 (define @t4171 () (forall @t4170 @t4168)) % 1.71/1.90 (define @t4172 () (forall @t4170 @t4167)) % 1.71/1.90 (define @t4173 () (@var "BOUND_VARIABLE_17693" $$unsorted)) % 1.71/1.90 (define @t4174 () (@var "BOUND_VARIABLE_17691" $$unsorted)) % 1.71/1.90 (define @t4175 () (or @t2230 @t4172)) % 1.71/1.90 (define @t4176 () (tptp.kpair @t4174 @t4173)) % 1.71/1.90 (define @t4177 () (tptp.in @t4176 @t3909)) % 1.71/1.90 (define @t4178 () (not (tptp.in @t4176 @t938))) % 1.71/1.90 (define @t4179 () (not (tptp.in @t4173 @t2))) % 1.71/1.90 (define @t4180 () (not (tptp.in @t4174 @t2))) % 1.71/1.90 (define @t4181 () (or @t3913 @t4180 @t4179 @t4178 @t4177)) % 1.71/1.90 (define @t4182 () (@list @t994 @t4174 @t4173)) % 1.71/1.90 (define @t4183 () (forall @t4182 @t4181)) % 1.71/1.90 (define @t4184 () (or @t3917 @t4183)) % 1.71/1.90 (define @t4185 () (or @t4180 @t4179 @t4178 @t4177)) % 1.71/1.90 (define @t4186 () (or @t3913 @t4185)) % 1.71/1.90 (define @t4187 () (forall @t4182 @t4186)) % 1.71/1.90 (define @t4188 () (@list @t4174 @t4173)) % 1.71/1.90 (define @t4189 () (forall @t4188 @t4186)) % 1.71/1.90 (define @t4190 () (forall @t4188 @t4185)) % 1.71/1.90 (define @t4191 () (@var "BOUND_VARIABLE_17671" $$unsorted)) % 1.71/1.90 (define @t4192 () (or @t3913 @t4190)) % 1.71/1.90 (define @t4193 () (tptp.kpair @t4 @t4191)) % 1.71/1.90 (define @t4194 () (tptp.in @t4193 @t3909)) % 1.71/1.90 (define @t4195 () (not (tptp.in @t4193 @t938))) % 1.71/1.90 (define @t4196 () (not (tptp.in @t4191 @t2))) % 1.71/1.90 (define @t4197 () (or @t2357 @t4196 @t4195 @t4194)) % 1.71/1.90 (define @t4198 () (@list @t4 @t4191)) % 1.71/1.90 (define @t4199 () (forall @t4198 @t4197)) % 1.71/1.90 (define @t4200 () (or @t3937 @t4199)) % 1.71/1.90 (define @t4201 () (or @t4196 @t4195 @t4194)) % 1.71/1.90 (define @t4202 () (or @t2357 @t4201)) % 1.71/1.90 (define @t4203 () (forall @t4198 @t4202)) % 1.71/1.90 (define @t4204 () (@list @t4191)) % 1.71/1.90 (define @t4205 () (forall @t4204 @t4202)) % 1.71/1.90 (define @t4206 () (forall @t4204 @t4201)) % 1.71/1.90 (define @t4207 () (or @t2357 @t4206)) % 1.71/1.90 (define @t4208 () (forall @t70 (or @t2175 @t4114 @t4045))) % 1.71/1.90 (define @t4209 () (or @t197 @t4208)) % 1.71/1.90 (define @t4210 () (or @t3841 @t4118 @t1700)) % 1.71/1.90 (define @t4211 () (=> tptp.breln1unionIL @t4166)) % 1.71/1.90 (define @t4212 () (or @t2299 @t2298)) % 1.71/1.90 (define @t4213 () (or @t2230 @t4212)) % 1.71/1.90 (define @t4214 () (forall @t2301 @t4213)) % 1.71/1.90 (define @t4215 () (@list @t2297)) % 1.71/1.90 (define @t4216 () (forall @t4215 @t4213)) % 1.71/1.90 (define @t4217 () (forall @t4215 @t4212)) % 1.71/1.90 (define @t4218 () (or @t2230 @t4217)) % 1.71/1.90 (define @t4219 () (tptp.breln1 @t2 @t3909)) % 1.71/1.90 (define @t4220 () (forall @t1004 (or @t3913 @t4219))) % 1.71/1.90 (define @t4221 () (or @t3917 @t4220)) % 1.71/1.90 (define @t4222 () (or @t3937 @t1695)) % 1.71/1.90 (define @t4223 () (=> tptp.breln1unionprop @t4211)) % 1.71/1.90 (define @t4224 () (or @t2311 @t2310 @t2309 @t2308 @t2307)) % 1.71/1.90 (define @t4225 () (or @t2230 @t4224)) % 1.71/1.90 (define @t4226 () (forall @t2313 @t4225)) % 1.71/1.90 (define @t4227 () (@list @t2302 @t2304 @t2303)) % 1.71/1.90 (define @t4228 () (forall @t4227 @t4225)) % 1.71/1.90 (define @t4229 () (forall @t4227 @t4224)) % 1.71/1.90 (define @t4230 () (@var "BOUND_VARIABLE_17551" $$unsorted)) % 1.71/1.90 (define @t4231 () (@var "BOUND_VARIABLE_17549" $$unsorted)) % 1.71/1.90 (define @t4232 () (or @t2230 @t4229)) % 1.71/1.90 (define @t4233 () (not (forall @t1068 (or @t2306 (not (tptp.in (tptp.kpair @t4231 @t289) @t938)) (not (tptp.in (tptp.kpair @t289 @t4230) @t994)))))) % 1.71/1.90 (define @t4234 () (not (tptp.in (tptp.kpair @t4231 @t4230) @t3980))) % 1.71/1.90 (define @t4235 () (not (tptp.in @t4230 @t2))) % 1.71/1.90 (define @t4236 () (not (tptp.in @t4231 @t2))) % 1.71/1.90 (define @t4237 () (or @t3913 @t4236 @t4235 @t4234 @t4233)) % 1.71/1.90 (define @t4238 () (@list @t994 @t4231 @t4230)) % 1.71/1.90 (define @t4239 () (forall @t4238 @t4237)) % 1.71/1.90 (define @t4240 () (or @t3917 @t4239)) % 1.71/1.90 (define @t4241 () (or @t4236 @t4235 @t4234 @t4233)) % 1.71/1.90 (define @t4242 () (or @t3913 @t4241)) % 1.71/1.90 (define @t4243 () (forall @t4238 @t4242)) % 1.71/1.90 (define @t4244 () (@list @t4231 @t4230)) % 1.71/1.90 (define @t4245 () (forall @t4244 @t4242)) % 1.71/1.90 (define @t4246 () (forall @t4244 @t4241)) % 1.71/1.90 (define @t4247 () (@var "BOUND_VARIABLE_17524" $$unsorted)) % 1.71/1.90 (define @t4248 () (or @t3913 @t4246)) % 1.71/1.90 (define @t4249 () (tptp.kpair @t4 @t289)) % 1.71/1.90 (define @t4250 () (tptp.in @t4249 @t938)) % 1.71/1.90 (define @t4251 () (not @t4250)) % 1.71/1.90 (define @t4252 () (not (forall @t1068 (or @t2306 @t4251 (not (tptp.in (tptp.kpair @t289 @t4247) @t994)))))) % 1.71/1.90 (define @t4253 () (not (tptp.in (tptp.kpair @t4 @t4247) @t3980))) % 1.71/1.90 (define @t4254 () (not (tptp.in @t4247 @t2))) % 1.71/1.90 (define @t4255 () (or @t2357 @t4254 @t4253 @t4252)) % 1.71/1.90 (define @t4256 () (@list @t4 @t4247)) % 1.71/1.90 (define @t4257 () (forall @t4256 @t4255)) % 1.71/1.90 (define @t4258 () (or @t3937 @t4257)) % 1.71/1.90 (define @t4259 () (or @t4254 @t4253 @t4252)) % 1.71/1.90 (define @t4260 () (or @t2357 @t4259)) % 1.71/1.90 (define @t4261 () (forall @t4256 @t4260)) % 1.71/1.90 (define @t4262 () (@list @t4247)) % 1.71/1.90 (define @t4263 () (forall @t4262 @t4260)) % 1.71/1.90 (define @t4264 () (forall @t4262 @t4259)) % 1.71/1.90 (define @t4265 () (or @t2357 @t4264)) % 1.71/1.90 (define @t4266 () (tptp.kpair @t289 @t19)) % 1.71/1.90 (define @t4267 () (tptp.in @t4266 @t994)) % 1.71/1.90 (define @t4268 () (forall @t1068 (or @t2306 @t4251 (not @t4267)))) % 1.71/1.90 (define @t4269 () (not @t4268)) % 1.71/1.90 (define @t4270 () (tptp.in @t2997 @t3980)) % 1.71/1.90 (define @t4271 () (forall @t70 (or @t2175 (not @t4270) @t4269))) % 1.71/1.90 (define @t4272 () (or @t197 @t4271)) % 1.71/1.90 (define @t4273 () (not @t1649)) % 1.71/1.90 (define @t4274 () (or @t3841 @t4273 @t4269)) % 1.71/1.90 (define @t4275 () (=> @t1649 @t4269)) % 1.71/1.90 (define @t4276 () (and @t4054 @t4269)) % 1.71/1.90 (define @t4277 () (or @t4276 false)) % 1.71/1.90 (define @t4278 () (and @t1064 @t4269)) % 1.71/1.90 (define @t4279 () (or @t173 @t4278 @t173)) % 1.71/1.90 (define @t4280 () (or @t4278 @t173)) % 1.71/1.90 (define @t4281 () (or @t173 @t4268)) % 1.71/1.90 (define @t4282 () (not @t1651)) % 1.71/1.90 (define @t4283 () (not @t1654)) % 1.71/1.90 (define @t4284 () (not @t1656)) % 1.71/1.90 (define @t4285 () (or @t4284 @t4283 @t4282)) % 1.71/1.90 (define @t4286 () (forall @t1068 @t4285)) % 1.71/1.90 (define @t4287 () (or @t173 @t4286)) % 1.71/1.90 (define @t4288 () (or @t173 @t4285)) % 1.71/1.90 (define @t4289 () (or @t4284 @t4283 @t4282 @t173)) % 1.71/1.90 (define @t4290 () (or @t4283 @t4282 @t173)) % 1.71/1.90 (define @t4291 () (=> tptp.breln1compEex @t4223)) % 1.71/1.90 (define @t4292 () (forall @t1068 (not @t1667))) % 1.71/1.90 (define @t4293 () (not @t4292)) % 1.71/1.90 (define @t4294 () (=> tptp.breln1compE @t4291)) % 1.71/1.90 (define @t4295 () (or @t2325 @t2324 @t2323 @t2322 @t2321 @t2320 @t2318)) % 1.71/1.90 (define @t4296 () (or @t2230 @t4295)) % 1.71/1.90 (define @t4297 () (forall @t2327 @t4296)) % 1.71/1.90 (define @t4298 () (@list @t2315 @t2319 @t2316 @t2317)) % 1.71/1.90 (define @t4299 () (forall @t4298 @t4296)) % 1.71/1.90 (define @t4300 () (forall @t4298 @t4295)) % 1.71/1.90 (define @t4301 () (@var "BOUND_VARIABLE_17443" $$unsorted)) % 1.71/1.90 (define @t4302 () (@var "BOUND_VARIABLE_17441" $$unsorted)) % 1.71/1.90 (define @t4303 () (@var "BOUND_VARIABLE_17439" $$unsorted)) % 1.71/1.90 (define @t4304 () (or @t2230 @t4300)) % 1.71/1.90 (define @t4305 () (not (tptp.in (tptp.kpair @t4301 @t4302) @t994))) % 1.71/1.90 (define @t4306 () (not (tptp.in (tptp.kpair @t4303 @t4301) @t938))) % 1.71/1.90 (define @t4307 () (not (tptp.in @t4301 @t2))) % 1.71/1.90 (define @t4308 () (tptp.in (tptp.kpair @t4303 @t4302) @t3980)) % 1.71/1.90 (define @t4309 () (not (tptp.in @t4302 @t2))) % 1.71/1.90 (define @t4310 () (not (tptp.in @t4303 @t2))) % 1.71/1.90 (define @t4311 () (or @t3913 @t4310 @t4309 @t4308 @t4307 @t4306 @t4305)) % 1.71/1.90 (define @t4312 () (@list @t994 @t4303 @t4302 @t4301)) % 1.71/1.90 (define @t4313 () (forall @t4312 @t4311)) % 1.71/1.90 (define @t4314 () (or @t3917 @t4313)) % 1.71/1.90 (define @t4315 () (or @t4310 @t4309 @t4308 @t4307 @t4306 @t4305)) % 1.71/1.90 (define @t4316 () (or @t3913 @t4315)) % 1.71/1.90 (define @t4317 () (forall @t4312 @t4316)) % 1.71/1.90 (define @t4318 () (@list @t4303 @t4302 @t4301)) % 1.71/1.90 (define @t4319 () (forall @t4318 @t4316)) % 1.71/1.90 (define @t4320 () (forall @t4318 @t4315)) % 1.71/1.90 (define @t4321 () (@var "BOUND_VARIABLE_17413" $$unsorted)) % 1.71/1.90 (define @t4322 () (@var "BOUND_VARIABLE_17411" $$unsorted)) % 1.71/1.90 (define @t4323 () (or @t3913 @t4320)) % 1.71/1.90 (define @t4324 () (not (tptp.in (tptp.kpair @t4321 @t4322) @t994))) % 1.71/1.90 (define @t4325 () (not (tptp.in (tptp.kpair @t4 @t4321) @t938))) % 1.71/1.90 (define @t4326 () (not (tptp.in @t4321 @t2))) % 1.71/1.90 (define @t4327 () (tptp.in (tptp.kpair @t4 @t4322) @t3980)) % 1.71/1.90 (define @t4328 () (not (tptp.in @t4322 @t2))) % 1.71/1.90 (define @t4329 () (or @t2357 @t4328 @t4327 @t4326 @t4325 @t4324)) % 1.71/1.90 (define @t4330 () (@list @t4 @t4322 @t4321)) % 1.71/1.90 (define @t4331 () (forall @t4330 @t4329)) % 1.71/1.90 (define @t4332 () (or @t3937 @t4331)) % 1.71/1.90 (define @t4333 () (or @t4328 @t4327 @t4326 @t4325 @t4324)) % 1.71/1.90 (define @t4334 () (or @t2357 @t4333)) % 1.71/1.90 (define @t4335 () (forall @t4330 @t4334)) % 1.71/1.90 (define @t4336 () (@list @t4322 @t4321)) % 1.71/1.90 (define @t4337 () (forall @t4336 @t4334)) % 1.71/1.90 (define @t4338 () (forall @t4336 @t4333)) % 1.71/1.90 (define @t4339 () (@var "BOUND_VARIABLE_17389" $$unsorted)) % 1.71/1.90 (define @t4340 () (or @t2357 @t4338)) % 1.71/1.90 (define @t4341 () (not (tptp.in (tptp.kpair @t4339 @t19) @t994))) % 1.71/1.90 (define @t4342 () (not (tptp.in (tptp.kpair @t4 @t4339) @t938))) % 1.71/1.90 (define @t4343 () (not (tptp.in @t4339 @t2))) % 1.71/1.90 (define @t4344 () (or @t2175 @t4270 @t4343 @t4342 @t4341)) % 1.71/1.90 (define @t4345 () (@list @t19 @t4339)) % 1.71/1.90 (define @t4346 () (forall @t4345 @t4344)) % 1.71/1.90 (define @t4347 () (or @t197 @t4346)) % 1.71/1.90 (define @t4348 () (or @t4343 @t4342 @t4341)) % 1.71/1.90 (define @t4349 () (or @t2175 @t4270 @t4348)) % 1.71/1.90 (define @t4350 () (forall @t4345 @t4349)) % 1.71/1.90 (define @t4351 () (@list @t4339)) % 1.71/1.90 (define @t4352 () (forall @t4351 @t4349)) % 1.71/1.90 (define @t4353 () (forall @t4351 @t4348)) % 1.71/1.90 (define @t4354 () (or @t2175 @t4270 @t4353)) % 1.71/1.90 (define @t4355 () (or @t3841 @t1649 @t4268)) % 1.71/1.90 (define @t4356 () (or @t1649 @t4268)) % 1.71/1.90 (define @t4357 () (or @t1649 @t4286)) % 1.71/1.90 (define @t4358 () (or @t1649 @t4285)) % 1.71/1.90 (define @t4359 () (or @t4284 @t4283 @t4282 @t1649)) % 1.71/1.90 (define @t4360 () (or @t4283 @t4282 @t1649)) % 1.71/1.90 (define @t4361 () (=> tptp.breln1compI @t4294)) % 1.71/1.90 (define @t4362 () (or @t2330 @t2329)) % 1.71/1.90 (define @t4363 () (or @t2230 @t4362)) % 1.71/1.90 (define @t4364 () (forall @t2332 @t4363)) % 1.71/1.90 (define @t4365 () (@list @t2328)) % 1.71/1.90 (define @t4366 () (forall @t4365 @t4363)) % 1.71/1.90 (define @t4367 () (forall @t4365 @t4362)) % 1.71/1.90 (define @t4368 () (or @t2230 @t4367)) % 1.71/1.90 (define @t4369 () (tptp.breln1 @t2 @t3980)) % 1.71/1.90 (define @t4370 () (forall @t1004 (or @t3913 @t4369))) % 1.71/1.90 (define @t4371 () (or @t3917 @t4370)) % 1.71/1.90 (define @t4372 () (or @t3937 @t1644)) % 1.71/1.90 (define @t4373 () (=> tptp.breln1compprop @t4361)) % 1.71/1.90 (define @t4374 () (or @t2338 @t2337 @t2336 @t2335)) % 1.71/1.90 (define @t4375 () (or @t2230 @t4374)) % 1.71/1.90 (define @t4376 () (forall @t2340 @t4375)) % 1.71/1.90 (define @t4377 () (@list @t2334 @t2333)) % 1.71/1.90 (define @t4378 () (forall @t4377 @t4375)) % 1.71/1.90 (define @t4379 () (forall @t4377 @t4374)) % 1.71/1.90 (define @t4380 () (@var "BOUND_VARIABLE_17287" $$unsorted)) % 1.71/1.90 (define @t4381 () (or @t2230 @t4379)) % 1.71/1.90 (define @t4382 () (tptp.in (tptp.kpair @t4 @t4380) @t938)) % 1.71/1.90 (define @t4383 () (not (tptp.in (tptp.kpair @t4380 @t4) @t2222))) % 1.71/1.90 (define @t4384 () (not (tptp.in @t4380 @t2))) % 1.71/1.90 (define @t4385 () (or @t2357 @t4384 @t4383 @t4382)) % 1.71/1.90 (define @t4386 () (@list @t4 @t4380)) % 1.71/1.90 (define @t4387 () (forall @t4386 @t4385)) % 1.71/1.90 (define @t4388 () (or @t3917 @t4387)) % 1.71/1.90 (define @t4389 () (or @t4384 @t4383 @t4382)) % 1.71/1.90 (define @t4390 () (or @t2357 @t4389)) % 1.71/1.90 (define @t4391 () (forall @t4386 @t4390)) % 1.71/1.90 (define @t4392 () (@list @t4380)) % 1.71/1.90 (define @t4393 () (forall @t4392 @t4390)) % 1.71/1.90 (define @t4394 () (forall @t4392 @t4389)) % 1.71/1.90 (define @t4395 () (or @t2357 @t4394)) % 1.71/1.90 (define @t4396 () (tptp.kpair @t19 @t4)) % 1.71/1.90 (define @t4397 () (tptp.in @t4396 @t2222)) % 1.71/1.90 (define @t4398 () (forall @t70 (or @t2175 (not @t4397) @t4044))) % 1.71/1.90 (define @t4399 () (or @t197 @t4398)) % 1.71/1.90 (define @t4400 () (not @t1626)) % 1.71/1.90 (define @t4401 () (or @t3841 @t4400 @t942)) % 1.71/1.90 (define @t4402 () (=> tptp.breln1invE @t4373)) % 1.71/1.90 (define @t4403 () (or @t2346 @t2345 @t2344 @t2343)) % 1.71/1.90 (define @t4404 () (or @t2230 @t4403)) % 1.71/1.90 (define @t4405 () (forall @t2348 @t4404)) % 1.71/1.90 (define @t4406 () (@list @t2341 @t2342)) % 1.71/1.90 (define @t4407 () (forall @t4406 @t4404)) % 1.71/1.90 (define @t4408 () (forall @t4406 @t4403)) % 1.71/1.90 (define @t4409 () (@var "BOUND_VARIABLE_17232" $$unsorted)) % 1.71/1.90 (define @t4410 () (or @t2230 @t4408)) % 1.71/1.90 (define @t4411 () (tptp.in (tptp.kpair @t4409 @t4) @t2222)) % 1.71/1.90 (define @t4412 () (not (tptp.in (tptp.kpair @t4 @t4409) @t938))) % 1.71/1.90 (define @t4413 () (not (tptp.in @t4409 @t2))) % 1.71/1.90 (define @t4414 () (or @t2357 @t4413 @t4412 @t4411)) % 1.71/1.90 (define @t4415 () (@list @t4 @t4409)) % 1.71/1.90 (define @t4416 () (forall @t4415 @t4414)) % 1.71/1.90 (define @t4417 () (or @t3917 @t4416)) % 1.71/1.90 (define @t4418 () (or @t4413 @t4412 @t4411)) % 1.71/1.90 (define @t4419 () (or @t2357 @t4418)) % 1.71/1.90 (define @t4420 () (forall @t4415 @t4419)) % 1.71/1.90 (define @t4421 () (@list @t4409)) % 1.71/1.90 (define @t4422 () (forall @t4421 @t4419)) % 1.71/1.90 (define @t4423 () (forall @t4421 @t4418)) % 1.71/1.90 (define @t4424 () (or @t2357 @t4423)) % 1.71/1.90 (define @t4425 () (forall @t70 (or @t2175 @t4114 @t4397))) % 1.71/1.90 (define @t4426 () (or @t197 @t4425)) % 1.71/1.90 (define @t4427 () (or @t3841 @t4118 @t1626)) % 1.71/1.90 (define @t4428 () (=> tptp.breln1invI @t4402)) % 1.71/1.90 (define @t4429 () (or @t3917 @t1622)) % 1.71/1.90 (define @t4430 () (=> tptp.breln1invprop @t4428)) % 1.71/1.90 (define @t4431 () (or @t2366 @t2365 @t2359 @t2351)) % 1.71/1.90 (define @t4432 () (or @t2230 @t4431)) % 1.71/1.90 (define @t4433 () (forall @t2368 @t4432)) % 1.71/1.90 (define @t4434 () (@list @t2350)) % 1.71/1.90 (define @t4435 () (forall @t4434 @t4432)) % 1.71/1.90 (define @t4436 () (forall @t4434 @t4431)) % 1.71/1.90 (define @t4437 () (or @t2230 @t4436)) % 1.71/1.90 (define @t4438 () (not (tptp.in @t2353 @t994))) % 1.71/1.90 (define @t4439 () (or @t2357 @t2355 @t4438 @t2354)) % 1.71/1.90 (define @t4440 () (forall @t2358 @t4439)) % 1.71/1.90 (define @t4441 () (not @t4440)) % 1.71/1.90 (define @t4442 () (tptp.in @t2361 @t994)) % 1.71/1.90 (define @t4443 () (or @t2357 @t2363 @t2362 @t4442)) % 1.71/1.90 (define @t4444 () (forall @t2364 @t4443)) % 1.71/1.90 (define @t4445 () (not @t4444)) % 1.71/1.90 (define @t4446 () (forall @t1004 (or @t3913 @t4445 @t4441 @t1009))) % 1.71/1.90 (define @t4447 () (or @t3917 @t4446)) % 1.71/1.90 (define @t4448 () (or @t3937 @t4445 @t4441 @t1009)) % 1.71/1.90 (define @t4449 () (or @t4445 @t4441 @t1009)) % 1.71/1.90 (define @t4450 () (=> @t4440 @t1009)) % 1.71/1.90 (define @t4451 () (=> @t4444 @t4450)) % 1.71/1.90 (define @t4452 () (or @t2355 @t4438 @t2354)) % 1.71/1.90 (define @t4453 () (or @t2357 @t4452)) % 1.71/1.90 (define @t4454 () (forall @t2358 @t4453)) % 1.71/1.90 (define @t4455 () (@list @t2352)) % 1.71/1.90 (define @t4456 () (forall @t4455 @t4453)) % 1.71/1.90 (define @t4457 () (forall @t4455 @t4452)) % 1.71/1.90 (define @t4458 () (or @t2357 @t4457)) % 1.71/1.90 (define @t4459 () (forall @t70 (or @t2175 @t4113 @t4044))) % 1.71/1.90 (define @t4460 () (or @t197 @t4459)) % 1.71/1.90 (define @t4461 () (or @t3841 @t4117 @t942)) % 1.71/1.90 (define @t4462 () (or @t4117 @t942)) % 1.71/1.90 (define @t4463 () (or @t2363 @t2362 @t4442)) % 1.71/1.90 (define @t4464 () (or @t2357 @t4463)) % 1.71/1.90 (define @t4465 () (forall @t2364 @t4464)) % 1.71/1.90 (define @t4466 () (@list @t2360)) % 1.71/1.90 (define @t4467 () (forall @t4466 @t4464)) % 1.71/1.90 (define @t4468 () (forall @t4466 @t4463)) % 1.71/1.90 (define @t4469 () (or @t2357 @t4468)) % 1.71/1.90 (define @t4470 () (forall @t70 (or @t2175 @t4114 @t4043))) % 1.71/1.90 (define @t4471 () (or @t197 @t4470)) % 1.71/1.90 (define @t4472 () (or @t3841 @t4118 @t996)) % 1.71/1.90 (define @t4473 () (or @t4118 @t996)) % 1.71/1.90 (define @t4474 () (=> tptp.eqbreln1 @t4430)) % 1.71/1.90 (define @t4475 () (or @t2372 @t2371 @t2370)) % 1.71/1.90 (define @t4476 () (or @t2230 @t4475)) % 1.71/1.90 (define @t4477 () (forall @t2374 @t4476)) % 1.71/1.90 (define @t4478 () (@list @t2369)) % 1.71/1.90 (define @t4479 () (forall @t4478 @t4476)) % 1.71/1.90 (define @t4480 () (forall @t4478 @t4475)) % 1.71/1.90 (define @t4481 () (or @t2230 @t4480)) % 1.71/1.90 (define @t4482 () (tptp.subset @t938 @t994)) % 1.71/1.90 (define @t4483 () (forall @t1004 (or @t3913 @t4445 @t4482))) % 1.71/1.90 (define @t4484 () (or @t3917 @t4483)) % 1.71/1.90 (define @t4485 () (or @t3937 @t4445 @t995)) % 1.71/1.90 (define @t4486 () (=> @t4444 @t995)) % 1.71/1.90 (define @t4487 () (=> tptp.subbreln1 @t4474)) % 1.71/1.90 (define @t4488 () (or @t2384 @t2378 @t2377)) % 1.71/1.90 (define @t4489 () (or @t2230 @t4488)) % 1.71/1.90 (define @t4490 () (forall @t2386 @t4489)) % 1.71/1.90 (define @t4491 () (@list @t2376 @t2375)) % 1.71/1.90 (define @t4492 () (forall @t4491 @t4489)) % 1.71/1.90 (define @t4493 () (forall @t4491 @t4488)) % 1.71/1.90 (define @t4494 () (@var "BOUND_VARIABLE_16909" $$unsorted)) % 1.71/1.90 (define @t4495 () (or @t2230 @t4493)) % 1.71/1.90 (define @t4496 () (_ @t143 @t4494)) % 1.71/1.90 (define @t4497 () (not (tptp.in @t4494 @t938))) % 1.71/1.90 (define @t4498 () (_ @t143 @t2380)) % 1.71/1.90 (define @t4499 () (or @t2357 @t2382 @t2381 @t4498)) % 1.71/1.90 (define @t4500 () (forall @t2383 @t4499)) % 1.71/1.90 (define @t4501 () (not @t4500)) % 1.71/1.90 (define @t4502 () (or @t4501 @t4497 @t4496)) % 1.71/1.90 (define @t4503 () (@list @t143 @t4494)) % 1.71/1.90 (define @t4504 () (forall @t4503 @t4502)) % 1.71/1.90 (define @t4505 () (or @t3917 @t4504)) % 1.71/1.90 (define @t4506 () (or @t4497 @t4496)) % 1.71/1.90 (define @t4507 () (or @t4501 @t4506)) % 1.71/1.90 (define @t4508 () (forall @t4503 @t4507)) % 1.71/1.90 (define @t4509 () (@list @t4494)) % 1.71/1.90 (define @t4510 () (forall @t4509 @t4507)) % 1.71/1.90 (define @t4511 () (forall @t4509 @t4506)) % 1.71/1.90 (define @t4512 () (or @t4501 @t4511)) % 1.71/1.90 (define @t4513 () (tptp.in @t4 @t938)) % 1.71/1.90 (define @t4514 () (forall @t9 (or (not @t4513) @t3106))) % 1.71/1.90 (define @t4515 () (not @t939)) % 1.71/1.90 (define @t4516 () (or @t4515 @t144)) % 1.71/1.90 (define @t4517 () (or @t2382 @t2381 @t4498)) % 1.71/1.90 (define @t4518 () (or @t2357 @t4517)) % 1.71/1.90 (define @t4519 () (forall @t2383 @t4518)) % 1.71/1.90 (define @t4520 () (@list @t2379)) % 1.71/1.90 (define @t4521 () (forall @t4520 @t4518)) % 1.71/1.90 (define @t4522 () (forall @t4520 @t4517)) % 1.71/1.90 (define @t4523 () (or @t2357 @t4522)) % 1.71/1.90 (define @t4524 () (_ @t143 @t2997)) % 1.71/1.90 (define @t4525 () (forall @t70 (or @t2175 @t4114 @t4524))) % 1.71/1.90 (define @t4526 () (or @t197 @t4525)) % 1.71/1.90 (define @t4527 () (or @t3841 @t4118 @t941)) % 1.71/1.90 (define @t4528 () (or @t4118 @t941)) % 1.71/1.90 (define @t4529 () (=> tptp.breln1all1 @t4487)) % 1.71/1.90 (define @t4530 () (lambda @t135 @t2398)) % 1.71/1.90 (define @t4531 () (tptp.dpsetconstr @t2 @t2 @t4530)) % 1.71/1.90 (define @t4532 () (tptp.breln1 @t2 @t4531)) % 1.71/1.90 (define @t4533 () (=> tptp.setOfPairsIsBReln1 @t4529)) % 1.71/1.90 (define @t4534 () (or @t2397 @t2395 @t2394 @t2393)) % 1.71/1.90 (define @t4535 () (or @t2404 @t4534)) % 1.71/1.90 (define @t4536 () (forall @t2406 @t4535)) % 1.71/1.90 (define @t4537 () (@list @t2388 @t2390)) % 1.71/1.90 (define @t4538 () (forall @t4537 @t4535)) % 1.71/1.90 (define @t4539 () (forall @t4537 @t4534)) % 1.71/1.90 (define @t4540 () (@var "BOUND_VARIABLE_17020" $$unsorted)) % 1.71/1.90 (define @t4541 () (or @t2404 @t4539)) % 1.71/1.90 (define @t4542 () (tptp.in @t2389 @t938)) % 1.71/1.90 (define @t4543 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (and (_ @t67 @t4540 @t19) (forall @t1068 (or @t2392 (not (_ @t67 @t4540 @t289)) @t4542))))))) % 1.71/1.90 (define @t4544 () (not (tptp.in @t4540 @t2))) % 1.71/1.90 (define @t4545 () (tptp.reflwellordering @t1 @t938)) % 1.71/1.90 (define @t4546 () (not @t4545)) % 1.71/1.90 (define @t4547 () (tptp.in @t938 @t2396)) % 1.71/1.90 (define @t4548 () (not @t4547)) % 1.71/1.90 (define @t4549 () (or @t4548 @t4546 @t4544 @t4543)) % 1.71/1.90 (define @t4550 () (@list @t938 @t4540)) % 1.71/1.90 (define @t4551 () (forall @t4550 @t4549)) % 1.71/1.90 (define @t4552 () (or @t4544 @t4543)) % 1.71/1.90 (define @t4553 () (or @t4548 @t4546 @t4552)) % 1.71/1.90 (define @t4554 () (forall @t4550 @t4553)) % 1.71/1.90 (define @t4555 () (@list @t4540)) % 1.71/1.90 (define @t4556 () (forall @t4555 @t4553)) % 1.71/1.90 (define @t4557 () (forall @t4555 @t4552)) % 1.71/1.90 (define @t4558 () (or @t4548 @t4546 @t4557)) % 1.71/1.90 (define @t4559 () (_ @t67 @t4 @t289)) % 1.71/1.90 (define @t4560 () (not @t4559)) % 1.71/1.90 (define @t4561 () (or @t2392 @t4560 @t4542)) % 1.71/1.90 (define @t4562 () (forall @t1068 @t4561)) % 1.71/1.90 (define @t4563 () (and @t2398 @t4562)) % 1.71/1.90 (define @t4564 () (lambda @t70 @t4563)) % 1.71/1.90 (define @t4565 () (tptp.dsetconstr @t1 @t4564)) % 1.71/1.90 (define @t4566 () (tptp.singleton @t4565)) % 1.71/1.90 (define @t4567 () (forall @t9 (or @t2357 @t4566))) % 1.71/1.90 (define @t4568 () (not @t1580)) % 1.71/1.90 (define @t4569 () (not @t1583)) % 1.71/1.90 (define @t4570 () (or @t4569 @t4568 @t4567)) % 1.71/1.90 (define @t4571 () (=> @t1580 @t4567)) % 1.71/1.90 (define @t4572 () (not @t1572)) % 1.71/1.90 (define @t4573 () (not @t1574)) % 1.71/1.90 (define @t4574 () (or @t4573 @t4572 @t1571)) % 1.71/1.90 (define @t4575 () (forall @t1068 @t4574)) % 1.71/1.90 (define @t4576 () (lambda @t70 (and @t76 @t4575))) % 1.71/1.90 (define @t4577 () (_ @t410 @t4576)) % 1.71/1.90 (define @t4578 () (and @t76 @t4562)) % 1.71/1.90 (define @t4579 () (lambda @t70 @t4578)) % 1.71/1.90 (define @t4580 () (_ tptp.singleton (_ @t410 @t4579))) % 1.71/1.90 (define @t4581 () (or @t197 @t4580)) % 1.71/1.90 (define @t4582 () (or @t197 @t2402)) % 1.71/1.90 (define @t4583 () (not @t76)) % 1.71/1.90 (define @t4584 () (not @t354)) % 1.71/1.90 (define @t4585 () (or @t4584 @t4583)) % 1.71/1.90 (define @t4586 () (forall @t70 (not @t1587))) % 1.71/1.90 (define @t4587 () (not @t4586)) % 1.71/1.90 (define @t4588 () (=> tptp.choice2fnsingleton @t4533)) % 1.71/1.90 (define @t4589 () (not @t1566)) % 1.71/1.90 (define @t4590 () (or @t4589 @t1559)) % 1.71/1.90 (define @t4591 () (=> tptp.breln1SetBreln1 @t4588)) % 1.71/1.90 (define @t4592 () (=> tptp.breln1all2 @t4591)) % 1.71/1.90 (define @t4593 () (or @t2414 @t2412)) % 1.71/1.90 (define @t4594 () (or @t2416 @t4593)) % 1.71/1.90 (define @t4595 () (forall @t2418 @t4594)) % 1.71/1.90 (define @t4596 () (@list @t2411)) % 1.71/1.90 (define @t4597 () (forall @t4596 @t4594)) % 1.71/1.90 (define @t4598 () (forall @t4596 @t4593)) % 1.71/1.90 (define @t4599 () (@list @t1132)) % 1.71/1.90 (define @t4600 () (or @t2416 @t4598)) % 1.71/1.90 (define @t4601 () (tptp.binunion @t695 @t1132)) % 1.71/1.90 (define @t4602 () (tptp.setminus @t2 @t4601)) % 1.71/1.90 (define @t4603 () (tptp.in @t4602 @t2410)) % 1.71/1.90 (define @t4604 () (tptp.in @t1132 @t2413)) % 1.71/1.90 (define @t4605 () (not @t4604)) % 1.71/1.90 (define @t4606 () (forall @t1138 (or @t4605 @t4603))) % 1.71/1.90 (define @t4607 () (not @t1140)) % 1.71/1.90 (define @t4608 () (or @t4607 @t4606)) % 1.71/1.90 (define @t4609 () (not @t1137)) % 1.71/1.90 (define @t4610 () (or @t4609 @t1423)) % 1.71/1.90 (define @t4611 () (=> tptp.woz1_5 @t4592)) % 1.71/1.90 (define @t4612 () (or @t2423 @t2422 @t2421)) % 1.71/1.90 (define @t4613 () (or @t2416 @t4612)) % 1.71/1.90 (define @t4614 () (forall @t2425 @t4613)) % 1.71/1.90 (define @t4615 () (@list @t2420)) % 1.71/1.90 (define @t4616 () (forall @t4615 @t4613)) % 1.71/1.90 (define @t4617 () (forall @t4615 @t4612)) % 1.71/1.90 (define @t4618 () (or @t2416 @t4617)) % 1.71/1.90 (define @t4619 () (tptp.subset @t1132 @t2409)) % 1.71/1.90 (define @t4620 () (tptp.setminus @t2 @t1132)) % 1.71/1.90 (define @t4621 () (tptp.subset @t695 @t4620)) % 1.71/1.90 (define @t4622 () (not @t4621)) % 1.71/1.90 (define @t4623 () (forall @t1138 (or @t4605 @t4622 @t4619))) % 1.71/1.90 (define @t4624 () (or @t4607 @t4623)) % 1.71/1.90 (define @t4625 () (not @t1236)) % 1.71/1.90 (define @t4626 () (or @t4609 @t4625 @t1320)) % 1.71/1.90 (define @t4627 () (=> tptp.woz1_4 @t4611)) % 1.71/1.90 (define @t4628 () (or @t2431 @t2430 @t2429)) % 1.71/1.90 (define @t4629 () (or @t2416 @t4628)) % 1.71/1.90 (define @t4630 () (forall @t2433 @t4629)) % 1.71/1.90 (define @t4631 () (@list @t2428 @t2427)) % 1.71/1.90 (define @t4632 () (forall @t4631 @t4629)) % 1.71/1.90 (define @t4633 () (forall @t4631 @t4628)) % 1.71/1.90 (define @t4634 () (@var "BOUND_VARIABLE_15736" $$unsorted)) % 1.71/1.90 (define @t4635 () (or @t2416 @t4633)) % 1.71/1.90 (define @t4636 () (tptp.binintersect @t695 @t1132)) % 1.71/1.90 (define @t4637 () (tptp.in @t4636 (tptp.powerset (tptp.binintersect (tptp.binunion @t695 @t4634) (tptp.binunion @t1132 @t4634))))) % 1.71/1.90 (define @t4638 () (not (tptp.in @t4634 @t2413))) % 1.71/1.90 (define @t4639 () (or @t4605 @t4638 @t4637)) % 1.71/1.90 (define @t4640 () (@list @t1132 @t4634)) % 1.71/1.90 (define @t4641 () (forall @t4640 @t4639)) % 1.71/1.90 (define @t4642 () (or @t4607 @t4641)) % 1.71/1.90 (define @t4643 () (or @t4638 @t4637)) % 1.71/1.90 (define @t4644 () (or @t4605 @t4643)) % 1.71/1.90 (define @t4645 () (forall @t4640 @t4644)) % 1.71/1.90 (define @t4646 () (@list @t4634)) % 1.71/1.90 (define @t4647 () (forall @t4646 @t4644)) % 1.71/1.90 (define @t4648 () (forall @t4646 @t4643)) % 1.71/1.90 (define @t4649 () (@list @t1342)) % 1.71/1.90 (define @t4650 () (or @t4605 @t4648)) % 1.71/1.90 (define @t4651 () (tptp.binunion @t1132 @t1342)) % 1.71/1.90 (define @t4652 () (tptp.binunion @t695 @t1342)) % 1.71/1.90 (define @t4653 () (tptp.binintersect @t4652 @t4651)) % 1.71/1.90 (define @t4654 () (tptp.powerset @t4653)) % 1.71/1.90 (define @t4655 () (tptp.in @t4636 @t4654)) % 1.71/1.90 (define @t4656 () (tptp.in @t1342 @t2413)) % 1.71/1.90 (define @t4657 () (not @t4656)) % 1.71/1.90 (define @t4658 () (forall @t1350 (or @t4657 @t4655))) % 1.71/1.90 (define @t4659 () (or @t4609 @t4658)) % 1.71/1.90 (define @t4660 () (_ tptp.in @t4636)) % 1.71/1.90 (define @t4661 () (not @t1348)) % 1.71/1.90 (define @t4662 () (or @t4661 @t1380)) % 1.71/1.90 (define @t4663 () (=> tptp.woz1_3 @t4627)) % 1.71/1.90 (define @t4664 () (or @t2441 @t2440 @t2439 @t2438)) % 1.71/1.90 (define @t4665 () (or @t2416 @t4664)) % 1.71/1.90 (define @t4666 () (forall @t2443 @t4665)) % 1.71/1.90 (define @t4667 () (@list @t2437 @t2436 @t2435)) % 1.71/1.90 (define @t4668 () (forall @t4667 @t4665)) % 1.71/1.90 (define @t4669 () (forall @t4667 @t4664)) % 1.71/1.90 (define @t4670 () (@var "BOUND_VARIABLE_16811" $$unsorted)) % 1.71/1.90 (define @t4671 () (@var "BOUND_VARIABLE_16809" $$unsorted)) % 1.71/1.90 (define @t4672 () (or @t2416 @t4669)) % 1.71/1.90 (define @t4673 () (tptp.binintersect @t2409 @t4620)) % 1.71/1.90 (define @t4674 () (= (tptp.setminus @t2 (tptp.binintersect @t4601 (tptp.binunion @t4671 @t4670))) (tptp.binunion @t4673 (tptp.binintersect (tptp.setminus @t2 @t4671) (tptp.setminus @t2 @t4670))))) % 1.71/1.90 (define @t4675 () (not (tptp.in @t4670 @t2413))) % 1.71/1.90 (define @t4676 () (not (tptp.in @t4671 @t2413))) % 1.71/1.90 (define @t4677 () (or @t4605 @t4676 @t4675 @t4674)) % 1.71/1.90 (define @t4678 () (@list @t1132 @t4671 @t4670)) % 1.71/1.90 (define @t4679 () (forall @t4678 @t4677)) % 1.71/1.90 (define @t4680 () (or @t4607 @t4679)) % 1.71/1.90 (define @t4681 () (or @t4676 @t4675 @t4674)) % 1.71/1.90 (define @t4682 () (or @t4605 @t4681)) % 1.71/1.90 (define @t4683 () (forall @t4678 @t4682)) % 1.71/1.90 (define @t4684 () (@list @t4671 @t4670)) % 1.71/1.90 (define @t4685 () (forall @t4684 @t4682)) % 1.71/1.90 (define @t4686 () (forall @t4684 @t4681)) % 1.71/1.90 (define @t4687 () (@var "BOUND_VARIABLE_16786" $$unsorted)) % 1.71/1.90 (define @t4688 () (or @t4605 @t4686)) % 1.71/1.90 (define @t4689 () (tptp.setminus @t2 @t1342)) % 1.71/1.90 (define @t4690 () (= (tptp.setminus @t2 (tptp.binintersect @t4601 (tptp.binunion @t1342 @t4687))) (tptp.binunion @t4673 (tptp.binintersect @t4689 (tptp.setminus @t2 @t4687))))) % 1.71/1.90 (define @t4691 () (not (tptp.in @t4687 @t2413))) % 1.71/1.90 (define @t4692 () (or @t4657 @t4691 @t4690)) % 1.71/1.90 (define @t4693 () (@list @t1342 @t4687)) % 1.71/1.90 (define @t4694 () (forall @t4693 @t4692)) % 1.71/1.90 (define @t4695 () (or @t4609 @t4694)) % 1.71/1.90 (define @t4696 () (or @t4691 @t4690)) % 1.71/1.90 (define @t4697 () (or @t4657 @t4696)) % 1.71/1.90 (define @t4698 () (forall @t4693 @t4697)) % 1.71/1.90 (define @t4699 () (@list @t4687)) % 1.71/1.90 (define @t4700 () (forall @t4699 @t4697)) % 1.71/1.90 (define @t4701 () (forall @t4699 @t4696)) % 1.71/1.90 (define @t4702 () (@list @t1520)) % 1.71/1.90 (define @t4703 () (or @t4657 @t4701)) % 1.71/1.90 (define @t4704 () (tptp.setminus @t2 @t1520)) % 1.71/1.90 (define @t4705 () (tptp.binintersect @t4689 @t4704)) % 1.71/1.90 (define @t4706 () (tptp.binunion @t4673 @t4705)) % 1.71/1.90 (define @t4707 () (tptp.binunion @t1342 @t1520)) % 1.71/1.90 (define @t4708 () (tptp.binintersect @t4601 @t4707)) % 1.71/1.90 (define @t4709 () (tptp.setminus @t2 @t4708)) % 1.71/1.90 (define @t4710 () (tptp.in @t1520 @t2413)) % 1.71/1.90 (define @t4711 () (not @t4710)) % 1.71/1.90 (define @t4712 () (forall @t1528 (or @t4711 (= @t4709 @t4706)))) % 1.71/1.90 (define @t4713 () (or @t4661 @t4712)) % 1.71/1.90 (define @t4714 () (not @t1527)) % 1.71/1.90 (define @t4715 () (or @t4714 @t1544)) % 1.71/1.90 (define @t4716 () (=> tptp.woz1_2 @t4663)) % 1.71/1.90 (define @t4717 () (or @t2446 @t2445)) % 1.71/1.90 (define @t4718 () (or @t2416 @t4717)) % 1.71/1.90 (define @t4719 () (forall @t2448 @t4718)) % 1.71/1.90 (define @t4720 () (@list @t2444)) % 1.71/1.90 (define @t4721 () (forall @t4720 @t4718)) % 1.71/1.90 (define @t4722 () (forall @t4720 @t4717)) % 1.71/1.90 (define @t4723 () (or @t2416 @t4722)) % 1.71/1.90 (define @t4724 () (tptp.setminus @t2 @t4636)) % 1.71/1.90 (define @t4725 () (tptp.powerset @t4724)) % 1.71/1.90 (define @t4726 () (tptp.in @t2409 @t4725)) % 1.71/1.90 (define @t4727 () (forall @t1138 (or @t4605 @t4726))) % 1.71/1.90 (define @t4728 () (or @t4607 @t4727)) % 1.71/1.90 (define @t4729 () (_ tptp.in @t2409)) % 1.71/1.90 (define @t4730 () (or @t4609 @t1306)) % 1.71/1.90 (define @t4731 () (=> tptp.woz1_1 @t4716)) % 1.71/1.90 (define @t4732 () (or @t2458 @t2457 @t2456 @t2455 @t2454 @t2453)) % 1.71/1.90 (define @t4733 () (or @t2416 @t4732)) % 1.71/1.90 (define @t4734 () (forall @t2460 @t4733)) % 1.71/1.90 (define @t4735 () (@list @t2452 @t2451 @t2450)) % 1.71/1.90 (define @t4736 () (forall @t4735 @t4733)) % 1.71/1.90 (define @t4737 () (forall @t4735 @t4732)) % 1.71/1.90 (define @t4738 () (@var "BOUND_VARIABLE_16706" $$unsorted)) % 1.71/1.90 (define @t4739 () (@var "BOUND_VARIABLE_16704" $$unsorted)) % 1.71/1.90 (define @t4740 () (or @t2416 @t4737)) % 1.71/1.90 (define @t4741 () (tptp.subset @t4636 (tptp.binintersect @t4739 @t4738))) % 1.71/1.90 (define @t4742 () (not (tptp.subset @t1132 @t4738))) % 1.71/1.90 (define @t4743 () (not (tptp.in @t4738 @t2413))) % 1.71/1.90 (define @t4744 () (not (tptp.subset @t695 @t4739))) % 1.71/1.90 (define @t4745 () (not (tptp.in @t4739 @t2413))) % 1.71/1.90 (define @t4746 () (or @t4605 @t4745 @t4744 @t4743 @t4742 @t4741)) % 1.71/1.90 (define @t4747 () (@list @t1132 @t4739 @t4738)) % 1.71/1.90 (define @t4748 () (forall @t4747 @t4746)) % 1.71/1.90 (define @t4749 () (or @t4607 @t4748)) % 1.71/1.90 (define @t4750 () (or @t4745 @t4744 @t4743 @t4742 @t4741)) % 1.71/1.90 (define @t4751 () (or @t4605 @t4750)) % 1.71/1.90 (define @t4752 () (forall @t4747 @t4751)) % 1.71/1.90 (define @t4753 () (@list @t4739 @t4738)) % 1.71/1.90 (define @t4754 () (forall @t4753 @t4751)) % 1.71/1.90 (define @t4755 () (forall @t4753 @t4750)) % 1.71/1.90 (define @t4756 () (@var "BOUND_VARIABLE_16684" $$unsorted)) % 1.71/1.91 (define @t4757 () (or @t4605 @t4755)) % 1.71/1.91 (define @t4758 () (tptp.subset @t4636 (tptp.binintersect @t1342 @t4756))) % 1.71/1.91 (define @t4759 () (not (tptp.subset @t1132 @t4756))) % 1.71/1.91 (define @t4760 () (not (tptp.in @t4756 @t2413))) % 1.71/1.91 (define @t4761 () (tptp.subset @t695 @t1342)) % 1.71/1.91 (define @t4762 () (not @t4761)) % 1.71/1.91 (define @t4763 () (or @t4657 @t4762 @t4760 @t4759 @t4758)) % 1.71/1.91 (define @t4764 () (@list @t1342 @t4756)) % 1.71/1.91 (define @t4765 () (forall @t4764 @t4763)) % 1.71/1.91 (define @t4766 () (or @t4609 @t4765)) % 1.71/1.91 (define @t4767 () (or @t4760 @t4759 @t4758)) % 1.71/1.91 (define @t4768 () (or @t4657 @t4762 @t4767)) % 1.71/1.91 (define @t4769 () (forall @t4764 @t4768)) % 1.71/1.91 (define @t4770 () (@list @t4756)) % 1.71/1.91 (define @t4771 () (forall @t4770 @t4768)) % 1.71/1.91 (define @t4772 () (forall @t4770 @t4767)) % 1.71/1.91 (define @t4773 () (or @t4657 @t4762 @t4772)) % 1.71/1.91 (define @t4774 () (tptp.binintersect @t1342 @t1520)) % 1.71/1.91 (define @t4775 () (tptp.subset @t4636 @t4774)) % 1.71/1.91 (define @t4776 () (tptp.subset @t1132 @t1520)) % 1.71/1.91 (define @t4777 () (forall @t1528 (or @t4711 (not @t4776) @t4775))) % 1.71/1.91 (define @t4778 () (not @t1494)) % 1.71/1.91 (define @t4779 () (or @t4661 @t4778 @t4777)) % 1.71/1.91 (define @t4780 () (or @t4778 @t4777)) % 1.71/1.91 (define @t4781 () (_ tptp.subset @t4636)) % 1.71/1.91 (define @t4782 () (not @t1523)) % 1.71/1.91 (define @t4783 () (or @t4714 @t4782 @t1522)) % 1.71/1.91 (define @t4784 () (forall @t1528 @t4783)) % 1.71/1.91 (define @t4785 () (or @t4778 @t4784)) % 1.71/1.91 (define @t4786 () (or @t4778 @t4783)) % 1.71/1.91 (define @t4787 () (or @t4714 @t4778 @t4782 @t1522)) % 1.71/1.91 (define @t4788 () (or @t4778 @t4782 @t1522)) % 1.71/1.91 (define @t4789 () (=> tptp.woz13rule4 @t4731)) % 1.71/1.91 (define @t4790 () (or @t2467 @t2466 @t2465 @t2464 @t2463)) % 1.71/1.91 (define @t4791 () (or @t2416 @t4790)) % 1.71/1.91 (define @t4792 () (forall @t2469 @t4791)) % 1.71/1.91 (define @t4793 () (@list @t2462 @t2461)) % 1.71/1.91 (define @t4794 () (forall @t4793 @t4791)) % 1.71/1.91 (define @t4795 () (forall @t4793 @t4790)) % 1.71/1.91 (define @t4796 () (@var "BOUND_VARIABLE_16616" $$unsorted)) % 1.71/1.91 (define @t4797 () (or @t2416 @t4795)) % 1.71/1.91 (define @t4798 () (tptp.subset @t695 (tptp.binintersect @t1132 @t4796))) % 1.71/1.91 (define @t4799 () (not (tptp.subset @t695 @t4796))) % 1.71/1.91 (define @t4800 () (not (tptp.in @t4796 @t2413))) % 1.71/1.91 (define @t4801 () (tptp.subset @t695 @t1132)) % 1.71/1.91 (define @t4802 () (not @t4801)) % 1.71/1.91 (define @t4803 () (or @t4605 @t4802 @t4800 @t4799 @t4798)) % 1.71/1.91 (define @t4804 () (@list @t1132 @t4796)) % 1.71/1.91 (define @t4805 () (forall @t4804 @t4803)) % 1.71/1.91 (define @t4806 () (or @t4607 @t4805)) % 1.71/1.91 (define @t4807 () (or @t4800 @t4799 @t4798)) % 1.71/1.91 (define @t4808 () (or @t4605 @t4802 @t4807)) % 1.71/1.91 (define @t4809 () (forall @t4804 @t4808)) % 1.71/1.91 (define @t4810 () (@list @t4796)) % 1.71/1.91 (define @t4811 () (forall @t4810 @t4808)) % 1.71/1.91 (define @t4812 () (forall @t4810 @t4807)) % 1.71/1.91 (define @t4813 () (or @t4605 @t4802 @t4812)) % 1.71/1.91 (define @t4814 () (tptp.binintersect @t1132 @t1342)) % 1.71/1.91 (define @t4815 () (tptp.subset @t695 @t4814)) % 1.71/1.91 (define @t4816 () (forall @t1350 (or @t4657 @t4762 @t4815))) % 1.71/1.91 (define @t4817 () (not @t1182)) % 1.71/1.91 (define @t4818 () (or @t4609 @t4817 @t4816)) % 1.71/1.91 (define @t4819 () (or @t4817 @t4816)) % 1.71/1.91 (define @t4820 () (or @t4661 @t4778 @t1511)) % 1.71/1.91 (define @t4821 () (forall @t1350 @t4820)) % 1.71/1.91 (define @t4822 () (or @t4817 @t4821)) % 1.71/1.91 (define @t4823 () (or @t4817 @t4820)) % 1.71/1.91 (define @t4824 () (or @t4661 @t4817 @t4778 @t1511)) % 1.71/1.91 (define @t4825 () (or @t4817 @t4778 @t1511)) % 1.71/1.91 (define @t4826 () (=> tptp.woz13rule3 @t4789)) % 1.71/1.91 (define @t4827 () (or @t2475 @t2474 @t2473 @t2472)) % 1.71/1.91 (define @t4828 () (or @t2416 @t4827)) % 1.71/1.91 (define @t4829 () (forall @t2477 @t4828)) % 1.71/1.91 (define @t4830 () (@list @t2471 @t2470)) % 1.71/1.91 (define @t4831 () (forall @t4830 @t4828)) % 1.71/1.91 (define @t4832 () (forall @t4830 @t4827)) % 1.71/1.91 (define @t4833 () (@var "BOUND_VARIABLE_16558" $$unsorted)) % 1.71/1.91 (define @t4834 () (or @t2416 @t4832)) % 1.71/1.91 (define @t4835 () (tptp.subset @t4636 @t4833)) % 1.71/1.91 (define @t4836 () (not (tptp.subset @t1132 @t4833))) % 1.71/1.91 (define @t4837 () (not (tptp.in @t4833 @t2413))) % 1.71/1.91 (define @t4838 () (or @t4605 @t4837 @t4836 @t4835)) % 1.71/1.91 (define @t4839 () (@list @t1132 @t4833)) % 1.71/1.91 (define @t4840 () (forall @t4839 @t4838)) % 1.71/1.91 (define @t4841 () (or @t4607 @t4840)) % 1.71/1.91 (define @t4842 () (or @t4837 @t4836 @t4835)) % 1.71/1.91 (define @t4843 () (or @t4605 @t4842)) % 1.71/1.91 (define @t4844 () (forall @t4839 @t4843)) % 1.71/1.91 (define @t4845 () (@list @t4833)) % 1.71/1.91 (define @t4846 () (forall @t4845 @t4843)) % 1.71/1.91 (define @t4847 () (forall @t4845 @t4842)) % 1.71/1.91 (define @t4848 () (or @t4605 @t4847)) % 1.71/1.91 (define @t4849 () (tptp.subset @t4636 @t1342)) % 1.71/1.91 (define @t4850 () (tptp.subset @t1132 @t1342)) % 1.71/1.91 (define @t4851 () (forall @t1350 (or @t4657 (not @t4850) @t4849))) % 1.71/1.91 (define @t4852 () (or @t4609 @t4851)) % 1.71/1.91 (define @t4853 () (not @t1502)) % 1.71/1.91 (define @t4854 () (or @t4661 @t4853 @t1493)) % 1.71/1.91 (define @t4855 () (=> tptp.woz13rule2 @t4826)) % 1.71/1.91 (define @t4856 () (or @t2483 @t2482 @t2481 @t2480)) % 1.71/1.91 (define @t4857 () (or @t2416 @t4856)) % 1.71/1.91 (define @t4858 () (forall @t2485 @t4857)) % 1.71/1.91 (define @t4859 () (@list @t2479 @t2478)) % 1.71/1.91 (define @t4860 () (forall @t4859 @t4857)) % 1.71/1.91 (define @t4861 () (forall @t4859 @t4856)) % 1.71/1.91 (define @t4862 () (@var "BOUND_VARIABLE_16505" $$unsorted)) % 1.71/1.91 (define @t4863 () (or @t2416 @t4861)) % 1.71/1.91 (define @t4864 () (tptp.subset @t4636 @t4862)) % 1.71/1.91 (define @t4865 () (not (tptp.subset @t695 @t4862))) % 1.71/1.91 (define @t4866 () (not (tptp.in @t4862 @t2413))) % 1.71/1.91 (define @t4867 () (or @t4605 @t4866 @t4865 @t4864)) % 1.71/1.91 (define @t4868 () (@list @t1132 @t4862)) % 1.71/1.91 (define @t4869 () (forall @t4868 @t4867)) % 1.71/1.91 (define @t4870 () (or @t4607 @t4869)) % 1.71/1.91 (define @t4871 () (or @t4866 @t4865 @t4864)) % 1.71/1.91 (define @t4872 () (or @t4605 @t4871)) % 1.71/1.91 (define @t4873 () (forall @t4868 @t4872)) % 1.71/1.91 (define @t4874 () (@list @t4862)) % 1.71/1.91 (define @t4875 () (forall @t4874 @t4872)) % 1.71/1.91 (define @t4876 () (forall @t4874 @t4871)) % 1.71/1.91 (define @t4877 () (or @t4605 @t4876)) % 1.71/1.91 (define @t4878 () (forall @t1350 (or @t4657 @t4762 @t4849))) % 1.71/1.91 (define @t4879 () (or @t4609 @t4878)) % 1.71/1.91 (define @t4880 () (or @t4661 @t4778 @t1493)) % 1.71/1.91 (define @t4881 () (=> tptp.woz13rule1 @t4855)) % 1.71/1.91 (define @t4882 () (or @t2490 @t2489 @t2487)) % 1.71/1.91 (define @t4883 () (or @t2416 @t4882)) % 1.71/1.91 (define @t4884 () (forall @t2492 @t4883)) % 1.71/1.91 (define @t4885 () (@list @t2488 @t2486)) % 1.71/1.91 (define @t4886 () (forall @t4885 @t4883)) % 1.71/1.91 (define @t4887 () (forall @t4885 @t4882)) % 1.71/1.91 (define @t4888 () (@var "BOUND_VARIABLE_16453" $$unsorted)) % 1.71/1.91 (define @t4889 () (or @t2416 @t4887)) % 1.71/1.91 (define @t4890 () (tptp.in @t4888 @t2)) % 1.71/1.91 (define @t4891 () (not (tptp.in @t4888 @t4636))) % 1.71/1.91 (define @t4892 () (or @t4605 @t4891 @t4890)) % 1.71/1.91 (define @t4893 () (@list @t1132 @t4888)) % 1.71/1.91 (define @t4894 () (forall @t4893 @t4892)) % 1.71/1.91 (define @t4895 () (or @t4607 @t4894)) % 1.71/1.91 (define @t4896 () (or @t4891 @t4890)) % 1.71/1.91 (define @t4897 () (or @t4605 @t4896)) % 1.71/1.91 (define @t4898 () (forall @t4893 @t4897)) % 1.71/1.91 (define @t4899 () (@list @t4888)) % 1.71/1.91 (define @t4900 () (forall @t4899 @t4897)) % 1.71/1.91 (define @t4901 () (forall @t4899 @t4896)) % 1.71/1.91 (define @t4902 () (or @t4605 @t4901)) % 1.71/1.91 (define @t4903 () (tptp.in @t4 @t4636)) % 1.71/1.91 (define @t4904 () (not @t4903)) % 1.71/1.91 (define @t4905 () (forall @t9 (or @t4904 @t2356))) % 1.71/1.91 (define @t4906 () (or @t4609 @t4905)) % 1.71/1.91 (define @t4907 () (or @t1217 @t7)) % 1.71/1.91 (define @t4908 () (=> tptp.woz13rule0 @t4881)) % 1.71/1.91 (define @t4909 () (or @t2495 @t2494)) % 1.71/1.91 (define @t4910 () (or @t2416 @t4909)) % 1.71/1.91 (define @t4911 () (forall @t2497 @t4910)) % 1.71/1.91 (define @t4912 () (@list @t2493)) % 1.71/1.91 (define @t4913 () (forall @t4912 @t4910)) % 1.71/1.91 (define @t4914 () (forall @t4912 @t4909)) % 1.71/1.91 (define @t4915 () (or @t2416 @t4914)) % 1.71/1.91 (define @t4916 () (forall @t1138 (or @t4605 (= @t4602 @t4673)))) % 1.71/1.91 (define @t4917 () (or @t4607 @t4916)) % 1.71/1.91 (define @t4918 () (or @t4609 @t1481)) % 1.71/1.91 (define @t4919 () (=> tptp.demorgan2 @t4908)) % 1.71/1.91 (define @t4920 () (or @t2503 @t2502 @t2501 @t2500)) % 1.71/1.91 (define @t4921 () (or @t2416 @t4920)) % 1.71/1.91 (define @t4922 () (forall @t2505 @t4921)) % 1.71/1.91 (define @t4923 () (@list @t2498 @t2499)) % 1.71/1.91 (define @t4924 () (forall @t4923 @t4921)) % 1.71/1.91 (define @t4925 () (forall @t4923 @t4920)) % 1.71/1.91 (define @t4926 () (@var "BOUND_VARIABLE_16373" $$unsorted)) % 1.71/1.91 (define @t4927 () (or @t2416 @t4925)) % 1.71/1.91 (define @t4928 () (tptp.in @t4926 @t4602)) % 1.71/1.91 (define @t4929 () (not (tptp.in @t4926 @t4673))) % 1.71/1.91 (define @t4930 () (not (tptp.in @t4926 @t2))) % 1.71/1.91 (define @t4931 () (or @t4605 @t4930 @t4929 @t4928)) % 1.71/1.91 (define @t4932 () (@list @t1132 @t4926)) % 1.71/1.91 (define @t4933 () (forall @t4932 @t4931)) % 1.71/1.91 (define @t4934 () (or @t4607 @t4933)) % 1.71/1.91 (define @t4935 () (or @t4930 @t4929 @t4928)) % 1.71/1.91 (define @t4936 () (or @t4605 @t4935)) % 1.71/1.91 (define @t4937 () (forall @t4932 @t4936)) % 1.71/1.91 (define @t4938 () (@list @t4926)) % 1.71/1.91 (define @t4939 () (forall @t4938 @t4936)) % 1.71/1.91 (define @t4940 () (forall @t4938 @t4935)) % 1.71/1.91 (define @t4941 () (or @t4605 @t4940)) % 1.71/1.91 (define @t4942 () (tptp.in @t4 @t4602)) % 1.71/1.91 (define @t4943 () (tptp.in @t4 @t4673)) % 1.71/1.91 (define @t4944 () (forall @t9 (or @t2357 (not @t4943) @t4942))) % 1.71/1.91 (define @t4945 () (or @t4609 @t4944)) % 1.71/1.91 (define @t4946 () (not @t1458)) % 1.71/1.91 (define @t4947 () (or @t197 @t4946 @t1388)) % 1.71/1.91 (define @t4948 () (=> tptp.demorgan2b @t4919)) % 1.71/1.91 (define @t4949 () (or @t2512 @t2511 @t2510 @t2509 @t2508)) % 1.71/1.91 (define @t4950 () (or @t2416 @t4949)) % 1.71/1.91 (define @t4951 () (forall @t2514 @t4950)) % 1.71/1.91 (define @t4952 () (@list @t2506 @t2507)) % 1.71/1.91 (define @t4953 () (forall @t4952 @t4950)) % 1.71/1.91 (define @t4954 () (forall @t4952 @t4949)) % 1.71/1.91 (define @t4955 () (@var "BOUND_VARIABLE_16315" $$unsorted)) % 1.71/1.91 (define @t4956 () (or @t2416 @t4954)) % 1.71/1.91 (define @t4957 () (tptp.in @t4955 @t4602)) % 1.71/1.91 (define @t4958 () (not (tptp.in @t4955 @t4620))) % 1.71/1.91 (define @t4959 () (not (tptp.in @t4955 @t2409))) % 1.71/1.91 (define @t4960 () (not (tptp.in @t4955 @t2))) % 1.71/1.91 (define @t4961 () (or @t4605 @t4960 @t4959 @t4958 @t4957)) % 1.71/1.91 (define @t4962 () (@list @t1132 @t4955)) % 1.71/1.91 (define @t4963 () (forall @t4962 @t4961)) % 1.71/1.91 (define @t4964 () (or @t4607 @t4963)) % 1.71/1.91 (define @t4965 () (or @t4960 @t4959 @t4958 @t4957)) % 1.71/1.91 (define @t4966 () (or @t4605 @t4965)) % 1.71/1.91 (define @t4967 () (forall @t4962 @t4966)) % 1.71/1.91 (define @t4968 () (@list @t4955)) % 1.71/1.91 (define @t4969 () (forall @t4968 @t4966)) % 1.71/1.91 (define @t4970 () (forall @t4968 @t4965)) % 1.71/1.91 (define @t4971 () (or @t4605 @t4970)) % 1.71/1.91 (define @t4972 () (tptp.in @t4 @t4620)) % 1.71/1.91 (define @t4973 () (tptp.in @t4 @t2409)) % 1.71/1.91 (define @t4974 () (not @t4973)) % 1.71/1.91 (define @t4975 () (forall @t9 (or @t2357 @t4974 (not @t4972) @t4942))) % 1.71/1.91 (define @t4976 () (or @t4609 @t4975)) % 1.71/1.91 (define @t4977 () (not @t1428)) % 1.71/1.91 (define @t4978 () (or @t197 @t1205 @t4977 @t1388)) % 1.71/1.91 (define @t4979 () (or @t1205 @t4977 @t1388)) % 1.71/1.91 (define @t4980 () (=> tptp.demorgan2b2 @t4948)) % 1.71/1.91 (define @t4981 () (or @t2520 @t2519 @t2518 @t2517)) % 1.71/1.91 (define @t4982 () (or @t2416 @t4981)) % 1.71/1.91 (define @t4983 () (forall @t2522 @t4982)) % 1.71/1.91 (define @t4984 () (@list @t2515 @t2516)) % 1.71/1.91 (define @t4985 () (forall @t4984 @t4982)) % 1.71/1.91 (define @t4986 () (forall @t4984 @t4981)) % 1.71/1.91 (define @t4987 () (@var "BOUND_VARIABLE_16259" $$unsorted)) % 1.71/1.91 (define @t4988 () (or @t2416 @t4986)) % 1.71/1.91 (define @t4989 () (tptp.in @t4987 @t4673)) % 1.71/1.91 (define @t4990 () (not (tptp.in @t4987 @t4602))) % 1.71/1.91 (define @t4991 () (not (tptp.in @t4987 @t2))) % 1.71/1.91 (define @t4992 () (or @t4605 @t4991 @t4990 @t4989)) % 1.71/1.91 (define @t4993 () (@list @t1132 @t4987)) % 1.71/1.91 (define @t4994 () (forall @t4993 @t4992)) % 1.71/1.91 (define @t4995 () (or @t4607 @t4994)) % 1.71/1.91 (define @t4996 () (or @t4991 @t4990 @t4989)) % 1.71/1.91 (define @t4997 () (or @t4605 @t4996)) % 1.71/1.91 (define @t4998 () (forall @t4993 @t4997)) % 1.71/1.91 (define @t4999 () (@list @t4987)) % 1.71/1.91 (define @t5000 () (forall @t4999 @t4997)) % 1.71/1.91 (define @t5001 () (forall @t4999 @t4996)) % 1.71/1.91 (define @t5002 () (or @t4605 @t5001)) % 1.71/1.91 (define @t5003 () (not @t4942)) % 1.71/1.91 (define @t5004 () (forall @t9 (or @t2357 @t5003 @t4943))) % 1.71/1.91 (define @t5005 () (or @t4609 @t5004)) % 1.71/1.91 (define @t5006 () (not @t1388)) % 1.71/1.91 (define @t5007 () (or @t197 @t5006 @t1458)) % 1.71/1.91 (define @t5008 () (=> tptp.demorgan2a @t4980)) % 1.71/1.91 (define @t5009 () (or @t2525 @t2524)) % 1.71/1.91 (define @t5010 () (or @t2416 @t5009)) % 1.71/1.91 (define @t5011 () (forall @t2527 @t5010)) % 1.71/1.91 (define @t5012 () (@list @t2523)) % 1.71/1.91 (define @t5013 () (forall @t5012 @t5010)) % 1.71/1.91 (define @t5014 () (forall @t5012 @t5009)) % 1.71/1.91 (define @t5015 () (or @t2416 @t5014)) % 1.71/1.91 (define @t5016 () (tptp.binunion @t2409 @t4620)) % 1.71/1.91 (define @t5017 () (forall @t1138 (or @t4605 (= @t4724 @t5016)))) % 1.71/1.91 (define @t5018 () (or @t4607 @t5017)) % 1.71/1.91 (define @t5019 () (or @t4609 @t1452)) % 1.71/1.91 (define @t5020 () (=> tptp.demorgan1 @t5008)) % 1.71/1.91 (define @t5021 () (or @t2533 @t2532 @t2531 @t2530)) % 1.71/1.91 (define @t5022 () (or @t2416 @t5021)) % 1.71/1.91 (define @t5023 () (forall @t2535 @t5022)) % 1.71/1.91 (define @t5024 () (@list @t2528 @t2529)) % 1.71/1.91 (define @t5025 () (forall @t5024 @t5022)) % 1.71/1.91 (define @t5026 () (forall @t5024 @t5021)) % 1.71/1.91 (define @t5027 () (@var "BOUND_VARIABLE_16173" $$unsorted)) % 1.71/1.91 (define @t5028 () (or @t2416 @t5026)) % 1.71/1.91 (define @t5029 () (tptp.in @t5027 @t4724)) % 1.71/1.91 (define @t5030 () (not (tptp.in @t5027 @t5016))) % 1.71/1.91 (define @t5031 () (not (tptp.in @t5027 @t2))) % 1.71/1.91 (define @t5032 () (or @t4605 @t5031 @t5030 @t5029)) % 1.71/1.91 (define @t5033 () (@list @t1132 @t5027)) % 1.71/1.91 (define @t5034 () (forall @t5033 @t5032)) % 1.71/1.91 (define @t5035 () (or @t4607 @t5034)) % 1.71/1.91 (define @t5036 () (or @t5031 @t5030 @t5029)) % 1.71/1.91 (define @t5037 () (or @t4605 @t5036)) % 1.71/1.91 (define @t5038 () (forall @t5033 @t5037)) % 1.71/1.91 (define @t5039 () (@list @t5027)) % 1.71/1.91 (define @t5040 () (forall @t5039 @t5037)) % 1.71/1.91 (define @t5041 () (forall @t5039 @t5036)) % 1.71/1.91 (define @t5042 () (or @t4605 @t5041)) % 1.71/1.91 (define @t5043 () (tptp.in @t4 @t4724)) % 1.71/1.91 (define @t5044 () (tptp.in @t4 @t5016)) % 1.71/1.91 (define @t5045 () (forall @t9 (or @t2357 (not @t5044) @t5043))) % 1.71/1.91 (define @t5046 () (or @t4609 @t5045)) % 1.71/1.91 (define @t5047 () (not @t1437)) % 1.71/1.91 (define @t5048 () (or @t197 @t5047 @t1292)) % 1.71/1.91 (define @t5049 () (=> tptp.demorgan1b @t5020)) % 1.71/1.91 (define @t5050 () (or @t2541 @t2540 @t2539 @t2538)) % 1.71/1.91 (define @t5051 () (or @t2416 @t5050)) % 1.71/1.91 (define @t5052 () (forall @t2543 @t5051)) % 1.71/1.91 (define @t5053 () (@list @t2536 @t2537)) % 1.71/1.91 (define @t5054 () (forall @t5053 @t5051)) % 1.71/1.91 (define @t5055 () (forall @t5053 @t5050)) % 1.71/1.91 (define @t5056 () (@var "BOUND_VARIABLE_16118" $$unsorted)) % 1.71/1.91 (define @t5057 () (or @t2416 @t5055)) % 1.71/1.91 (define @t5058 () (tptp.in @t5056 @t5016)) % 1.71/1.91 (define @t5059 () (not (tptp.in @t5056 @t4724))) % 1.71/1.91 (define @t5060 () (not (tptp.in @t5056 @t2))) % 1.71/1.91 (define @t5061 () (or @t4605 @t5060 @t5059 @t5058)) % 1.71/1.91 (define @t5062 () (@list @t1132 @t5056)) % 1.71/1.91 (define @t5063 () (forall @t5062 @t5061)) % 1.71/1.91 (define @t5064 () (or @t4607 @t5063)) % 1.71/1.91 (define @t5065 () (or @t5060 @t5059 @t5058)) % 1.71/1.91 (define @t5066 () (or @t4605 @t5065)) % 1.71/1.91 (define @t5067 () (forall @t5062 @t5066)) % 1.71/1.91 (define @t5068 () (@list @t5056)) % 1.71/1.91 (define @t5069 () (forall @t5068 @t5066)) % 1.71/1.91 (define @t5070 () (forall @t5068 @t5065)) % 1.71/1.91 (define @t5071 () (or @t4605 @t5070)) % 1.71/1.91 (define @t5072 () (forall @t9 (or @t2357 (not @t5043) @t5044))) % 1.71/1.91 (define @t5073 () (or @t4609 @t5072)) % 1.71/1.91 (define @t5074 () (not @t1292)) % 1.71/1.91 (define @t5075 () (or @t197 @t5074 @t1437)) % 1.71/1.91 (define @t5076 () (=> tptp.demorgan1a @t5049)) % 1.71/1.91 (define @t5077 () (or @t2549 @t2548 @t2547 @t2546)) % 1.71/1.91 (define @t5078 () (or @t2416 @t5077)) % 1.71/1.91 (define @t5079 () (forall @t2551 @t5078)) % 1.71/1.91 (define @t5080 () (@list @t2544 @t2545)) % 1.71/1.91 (define @t5081 () (forall @t5080 @t5078)) % 1.71/1.91 (define @t5082 () (forall @t5080 @t5077)) % 1.71/1.91 (define @t5083 () (@var "BOUND_VARIABLE_16059" $$unsorted)) % 1.71/1.91 (define @t5084 () (or @t2416 @t5082)) % 1.71/1.91 (define @t5085 () (tptp.in @t5083 @t4620)) % 1.71/1.91 (define @t5086 () (not (tptp.in @t5083 @t4602))) % 1.71/1.91 (define @t5087 () (not (tptp.in @t5083 @t2))) % 1.71/1.91 (define @t5088 () (or @t4605 @t5087 @t5086 @t5085)) % 1.71/1.91 (define @t5089 () (@list @t1132 @t5083)) % 1.71/1.91 (define @t5090 () (forall @t5089 @t5088)) % 1.71/1.91 (define @t5091 () (or @t4607 @t5090)) % 1.71/1.91 (define @t5092 () (or @t5087 @t5086 @t5085)) % 1.71/1.91 (define @t5093 () (or @t4605 @t5092)) % 1.71/1.91 (define @t5094 () (forall @t5089 @t5093)) % 1.71/1.91 (define @t5095 () (@list @t5083)) % 1.71/1.91 (define @t5096 () (forall @t5095 @t5093)) % 1.71/1.91 (define @t5097 () (forall @t5095 @t5092)) % 1.71/1.91 (define @t5098 () (or @t4605 @t5097)) % 1.71/1.91 (define @t5099 () (forall @t9 (or @t2357 @t5003 @t4972))) % 1.71/1.91 (define @t5100 () (or @t4609 @t5099)) % 1.71/1.91 (define @t5101 () (or @t197 @t5006 @t1428)) % 1.71/1.91 (define @t5102 () (=> tptp.demorgan2a2 @t5076)) % 1.71/1.91 (define @t5103 () (=> tptp.complementUnionInPowersetComplement @t5102)) % 1.71/1.91 (define @t5104 () (or @t2557 @t2556 @t2555 @t2553)) % 1.71/1.91 (define @t5105 () (or @t2416 @t5104)) % 1.71/1.91 (define @t5106 () (forall @t2559 @t5105)) % 1.71/1.91 (define @t5107 () (@list @t2554 @t2552)) % 1.71/1.91 (define @t5108 () (forall @t5107 @t5105)) % 1.71/1.91 (define @t5109 () (forall @t5107 @t5104)) % 1.71/1.91 (define @t5110 () (@var "BOUND_VARIABLE_15849" $$unsorted)) % 1.71/1.91 (define @t5111 () (or @t2416 @t5109)) % 1.71/1.91 (define @t5112 () (tptp.in @t5110 @t2409)) % 1.71/1.91 (define @t5113 () (not (tptp.in @t5110 @t4602))) % 1.71/1.91 (define @t5114 () (not (tptp.in @t5110 @t2))) % 1.71/1.91 (define @t5115 () (or @t4605 @t5114 @t5113 @t5112)) % 1.71/1.91 (define @t5116 () (@list @t1132 @t5110)) % 1.71/1.91 (define @t5117 () (forall @t5116 @t5115)) % 1.71/1.91 (define @t5118 () (or @t4607 @t5117)) % 1.71/1.91 (define @t5119 () (or @t5114 @t5113 @t5112)) % 1.71/1.91 (define @t5120 () (or @t4605 @t5119)) % 1.71/1.91 (define @t5121 () (forall @t5116 @t5120)) % 1.71/1.91 (define @t5122 () (@list @t5110)) % 1.71/1.91 (define @t5123 () (forall @t5122 @t5120)) % 1.71/1.91 (define @t5124 () (forall @t5122 @t5119)) % 1.71/1.91 (define @t5125 () (or @t4605 @t5124)) % 1.71/1.91 (define @t5126 () (forall @t9 (or @t2357 @t5003 @t4973))) % 1.71/1.91 (define @t5127 () (or @t4609 @t5126)) % 1.71/1.91 (define @t5128 () (or @t197 @t5006 @t1204)) % 1.71/1.91 (define @t5129 () (=> tptp.demorgan2a1 @t5103)) % 1.71/1.91 (define @t5130 () (or @t2567 @t2566 @t2565 @t2564 @t2563)) % 1.71/1.91 (define @t5131 () (or @t2416 @t5130)) % 1.71/1.91 (define @t5132 () (forall @t2569 @t5131)) % 1.71/1.91 (define @t5133 () (@list @t2561 @t2562)) % 1.71/1.91 (define @t5134 () (forall @t5133 @t5131)) % 1.71/1.91 (define @t5135 () (forall @t5133 @t5130)) % 1.71/1.91 (define @t5136 () (@var "BOUND_VARIABLE_15971" $$unsorted)) % 1.71/1.91 (define @t5137 () (or @t2416 @t5135)) % 1.71/1.91 (define @t5138 () (not (tptp.in @t5136 @t4601))) % 1.71/1.91 (define @t5139 () (tptp.in @t5136 @t1132)) % 1.71/1.91 (define @t5140 () (tptp.in @t5136 @t695)) % 1.71/1.91 (define @t5141 () (not (tptp.in @t5136 @t2))) % 1.71/1.91 (define @t5142 () (or @t4605 @t5141 @t5140 @t5139 @t5138)) % 1.71/1.91 (define @t5143 () (@list @t1132 @t5136)) % 1.71/1.91 (define @t5144 () (forall @t5143 @t5142)) % 1.71/1.91 (define @t5145 () (or @t4607 @t5144)) % 1.71/1.91 (define @t5146 () (or @t5141 @t5140 @t5139 @t5138)) % 1.71/1.91 (define @t5147 () (or @t4605 @t5146)) % 1.71/1.91 (define @t5148 () (forall @t5143 @t5147)) % 1.71/1.91 (define @t5149 () (@list @t5136)) % 1.71/1.91 (define @t5150 () (forall @t5149 @t5147)) % 1.71/1.91 (define @t5151 () (forall @t5149 @t5146)) % 1.71/1.91 (define @t5152 () (or @t4605 @t5151)) % 1.71/1.91 (define @t5153 () (tptp.in @t4 @t4601)) % 1.71/1.91 (define @t5154 () (not @t5153)) % 1.71/1.91 (define @t5155 () (tptp.in @t4 @t1132)) % 1.71/1.91 (define @t5156 () (forall @t9 (or @t2357 @t2747 @t5155 @t5154))) % 1.71/1.91 (define @t5157 () (or @t4609 @t5156)) % 1.71/1.91 (define @t5158 () (or @t197 @t696 @t1169 @t1327)) % 1.71/1.91 (define @t5159 () (or @t696 @t1169 @t1327)) % 1.71/1.91 (define @t5160 () (not @t1226)) % 1.71/1.91 (define @t5161 () (not @t1218)) % 1.71/1.91 (define @t5162 () (=> tptp.binunionTEcontra @t5129)) % 1.71/1.91 (define @t5163 () (or @t2576 @t2575 @t2574 @t2573 @t2572)) % 1.71/1.91 (define @t5164 () (or @t2416 @t5163)) % 1.71/1.91 (define @t5165 () (forall @t2578 @t5164)) % 1.71/1.91 (define @t5166 () (@list @t2570 @t2571)) % 1.71/1.91 (define @t5167 () (forall @t5166 @t5164)) % 1.71/1.91 (define @t5168 () (forall @t5166 @t5163)) % 1.71/1.91 (define @t5169 () (@var "BOUND_VARIABLE_15918" $$unsorted)) % 1.71/1.91 (define @t5170 () (or @t2416 @t5168)) % 1.71/1.91 (define @t5171 () (tptp.in @t5169 @t1132)) % 1.71/1.91 (define @t5172 () (tptp.in @t5169 @t695)) % 1.71/1.91 (define @t5173 () (not (tptp.in @t5169 @t4601))) % 1.71/1.91 (define @t5174 () (not (tptp.in @t5169 @t2))) % 1.71/1.91 (define @t5175 () (or @t4605 @t5174 @t5173 @t5172 @t5171)) % 1.71/1.91 (define @t5176 () (@list @t1132 @t5169)) % 1.71/1.91 (define @t5177 () (forall @t5176 @t5175)) % 1.71/1.91 (define @t5178 () (or @t4607 @t5177)) % 1.71/1.91 (define @t5179 () (or @t5174 @t5173 @t5172 @t5171)) % 1.71/1.91 (define @t5180 () (or @t4605 @t5179)) % 1.71/1.91 (define @t5181 () (forall @t5176 @t5180)) % 1.71/1.91 (define @t5182 () (@list @t5169)) % 1.71/1.91 (define @t5183 () (forall @t5182 @t5180)) % 1.71/1.91 (define @t5184 () (forall @t5182 @t5179)) % 1.71/1.91 (define @t5185 () (or @t4605 @t5184)) % 1.71/1.91 (define @t5186 () (forall @t9 (or @t2357 @t5154 @t2747 @t5155))) % 1.71/1.91 (define @t5187 () (or @t4609 @t5186)) % 1.71/1.91 (define @t5188 () (and @t5155 @t4054)) % 1.71/1.91 (define @t5189 () (and @t2747 @t4054)) % 1.71/1.91 (define @t5190 () (or @t2357 @t5154 @t5189 @t5188)) % 1.71/1.91 (define @t5191 () (or @t2357 @t5154 @t5189 @t5188 false)) % 1.71/1.91 (define @t5192 () (and @t5155 @t1064)) % 1.71/1.91 (define @t5193 () (and @t2747 @t1064)) % 1.71/1.91 (define @t5194 () (or @t173 @t2357 @t5154 @t5193 @t5192 @t173)) % 1.71/1.91 (define @t5195 () (or @t2357 @t5154 @t5193 @t5192 @t173)) % 1.71/1.91 (define @t5196 () (forall @t179 @t5195)) % 1.71/1.91 (define @t5197 () (forall @t9 @t5196)) % 1.71/1.91 (define @t5198 () (@list @t4 @t173)) % 1.71/1.91 (define @t5199 () (forall @t5198 @t5195)) % 1.71/1.91 (define @t5200 () (and @t1169 @t1064)) % 1.71/1.91 (define @t5201 () (and @t696 @t1064)) % 1.71/1.91 (define @t5202 () (or @t197 @t1327 @t5201 @t5200 @t173)) % 1.71/1.91 (define @t5203 () (or @t1327 @t5201 @t5200 @t173)) % 1.71/1.91 (define @t5204 () (or @t5201 @t5200 @t173)) % 1.71/1.91 (define @t5205 () (=> tptp.binunionTE @t5162)) % 1.71/1.91 (define @t5206 () (=> tptp.inComplementUnionImpInComplement1 @t5205)) % 1.71/1.91 (define @t5207 () (or @t2584 @t2583 @t2582 @t2580)) % 1.71/1.91 (define @t5208 () (or @t2416 @t5207)) % 1.71/1.91 (define @t5209 () (forall @t2586 @t5208)) % 1.71/1.91 (define @t5210 () (@list @t2581 @t2579)) % 1.71/1.91 (define @t5211 () (forall @t5210 @t5208)) % 1.71/1.91 (define @t5212 () (forall @t5210 @t5207)) % 1.71/1.91 (define @t5213 () (@var "BOUND_VARIABLE_15796" $$unsorted)) % 1.71/1.91 (define @t5214 () (or @t2416 @t5212)) % 1.71/1.91 (define @t5215 () (not (tptp.in @t5213 @t695))) % 1.71/1.91 (define @t5216 () (not (tptp.in @t5213 @t4602))) % 1.71/1.91 (define @t5217 () (not (tptp.in @t5213 @t2))) % 1.71/1.91 (define @t5218 () (or @t4605 @t5217 @t5216 @t5215)) % 1.71/1.91 (define @t5219 () (@list @t1132 @t5213)) % 1.71/1.91 (define @t5220 () (forall @t5219 @t5218)) % 1.71/1.91 (define @t5221 () (or @t4607 @t5220)) % 1.71/1.91 (define @t5222 () (or @t5217 @t5216 @t5215)) % 1.71/1.91 (define @t5223 () (or @t4605 @t5222)) % 1.71/1.91 (define @t5224 () (forall @t5219 @t5223)) % 1.71/1.91 (define @t5225 () (@list @t5213)) % 1.71/1.91 (define @t5226 () (forall @t5225 @t5223)) % 1.71/1.91 (define @t5227 () (forall @t5225 @t5222)) % 1.71/1.91 (define @t5228 () (or @t4605 @t5227)) % 1.71/1.91 (define @t5229 () (forall @t9 (or @t2357 @t5003 @t2748))) % 1.71/1.91 (define @t5230 () (or @t4609 @t5229)) % 1.71/1.91 (define @t5231 () (or @t197 @t5006 @t1218)) % 1.71/1.91 (define @t5232 () (=> tptp.inComplementUnionImpNotIn1 @t5206)) % 1.71/1.91 (define @t5233 () (=> tptp.intersectInPowersetIntersectUnions @t5232)) % 1.71/1.91 (define @t5234 () (or @t2594 @t2593 @t2592 @t2591 @t2590)) % 1.71/1.91 (define @t5235 () (or @t2416 @t5234)) % 1.71/1.91 (define @t5236 () (forall @t2596 @t5235)) % 1.71/1.91 (define @t5237 () (@list @t2588 @t2587 @t2589)) % 1.71/1.91 (define @t5238 () (forall @t5237 @t5235)) % 1.71/1.91 (define @t5239 () (forall @t5237 @t5234)) % 1.71/1.91 (define @t5240 () (@var "BOUND_VARIABLE_15671" $$unsorted)) % 1.71/1.91 (define @t5241 () (@var "BOUND_VARIABLE_15669" $$unsorted)) % 1.71/1.91 (define @t5242 () (or @t2416 @t5239)) % 1.71/1.91 (define @t5243 () (tptp.in @t5240 (tptp.binintersect (tptp.binunion @t695 @t5241) (tptp.binunion @t1132 @t5241)))) % 1.71/1.91 (define @t5244 () (not (tptp.in @t5240 @t4636))) % 1.71/1.91 (define @t5245 () (not (tptp.in @t5240 @t2))) % 1.71/1.91 (define @t5246 () (not (tptp.in @t5241 @t2413))) % 1.71/1.91 (define @t5247 () (or @t4605 @t5246 @t5245 @t5244 @t5243)) % 1.71/1.91 (define @t5248 () (@list @t1132 @t5241 @t5240)) % 1.71/1.91 (define @t5249 () (forall @t5248 @t5247)) % 1.71/1.91 (define @t5250 () (or @t4607 @t5249)) % 1.71/1.91 (define @t5251 () (or @t5246 @t5245 @t5244 @t5243)) % 1.71/1.91 (define @t5252 () (or @t4605 @t5251)) % 1.71/1.91 (define @t5253 () (forall @t5248 @t5252)) % 1.71/1.91 (define @t5254 () (@list @t5241 @t5240)) % 1.71/1.91 (define @t5255 () (forall @t5254 @t5252)) % 1.71/1.91 (define @t5256 () (forall @t5254 @t5251)) % 1.71/1.91 (define @t5257 () (@var "BOUND_VARIABLE_15650" $$unsorted)) % 1.71/1.91 (define @t5258 () (or @t4605 @t5256)) % 1.71/1.91 (define @t5259 () (tptp.in @t5257 @t4653)) % 1.71/1.91 (define @t5260 () (not (tptp.in @t5257 @t4636))) % 1.71/1.91 (define @t5261 () (not (tptp.in @t5257 @t2))) % 1.71/1.91 (define @t5262 () (or @t4657 @t5261 @t5260 @t5259)) % 1.71/1.91 (define @t5263 () (@list @t1342 @t5257)) % 1.71/1.91 (define @t5264 () (forall @t5263 @t5262)) % 1.71/1.91 (define @t5265 () (or @t4609 @t5264)) % 1.71/1.91 (define @t5266 () (or @t5261 @t5260 @t5259)) % 1.71/1.91 (define @t5267 () (or @t4657 @t5266)) % 1.71/1.91 (define @t5268 () (forall @t5263 @t5267)) % 1.71/1.91 (define @t5269 () (@list @t5257)) % 1.71/1.91 (define @t5270 () (forall @t5269 @t5267)) % 1.71/1.91 (define @t5271 () (forall @t5269 @t5266)) % 1.71/1.91 (define @t5272 () (or @t4657 @t5271)) % 1.71/1.91 (define @t5273 () (tptp.in @t4 @t4653)) % 1.71/1.91 (define @t5274 () (forall @t9 (or @t2357 @t4904 @t5273))) % 1.71/1.91 (define @t5275 () (or @t4661 @t5274)) % 1.71/1.91 (define @t5276 () (or @t197 @t1217 @t1369)) % 1.71/1.91 (define @t5277 () (=> tptp.inIntersectImpInIntersectUnions @t5233)) % 1.71/1.91 (define @t5278 () (or @t2604 @t2603 @t2602 @t2601 @t2600)) % 1.71/1.91 (define @t5279 () (or @t2416 @t5278)) % 1.71/1.91 (define @t5280 () (forall @t2606 @t5279)) % 1.71/1.91 (define @t5281 () (@list @t2598 @t2597 @t2599)) % 1.71/1.91 (define @t5282 () (forall @t5281 @t5279)) % 1.71/1.91 (define @t5283 () (forall @t5281 @t5278)) % 1.71/1.91 (define @t5284 () (@var "BOUND_VARIABLE_15587" $$unsorted)) % 1.71/1.91 (define @t5285 () (@var "BOUND_VARIABLE_15585" $$unsorted)) % 1.71/1.91 (define @t5286 () (or @t2416 @t5283)) % 1.71/1.91 (define @t5287 () (tptp.in @t5284 (tptp.binunion @t1132 @t5285))) % 1.71/1.91 (define @t5288 () (not (tptp.in @t5284 @t4636))) % 1.71/1.91 (define @t5289 () (not (tptp.in @t5284 @t2))) % 1.71/1.91 (define @t5290 () (not (tptp.in @t5285 @t2413))) % 1.71/1.91 (define @t5291 () (or @t4605 @t5290 @t5289 @t5288 @t5287)) % 1.71/1.91 (define @t5292 () (@list @t1132 @t5285 @t5284)) % 1.71/1.91 (define @t5293 () (forall @t5292 @t5291)) % 1.71/1.91 (define @t5294 () (or @t4607 @t5293)) % 1.71/1.91 (define @t5295 () (or @t5290 @t5289 @t5288 @t5287)) % 1.71/1.91 (define @t5296 () (or @t4605 @t5295)) % 1.71/1.91 (define @t5297 () (forall @t5292 @t5296)) % 1.71/1.91 (define @t5298 () (@list @t5285 @t5284)) % 1.71/1.91 (define @t5299 () (forall @t5298 @t5296)) % 1.71/1.91 (define @t5300 () (forall @t5298 @t5295)) % 1.71/1.91 (define @t5301 () (@var "BOUND_VARIABLE_15566" $$unsorted)) % 1.71/1.91 (define @t5302 () (or @t4605 @t5300)) % 1.71/1.91 (define @t5303 () (tptp.in @t5301 @t4651)) % 1.71/1.91 (define @t5304 () (not (tptp.in @t5301 @t4636))) % 1.71/1.91 (define @t5305 () (not (tptp.in @t5301 @t2))) % 1.71/1.91 (define @t5306 () (or @t4657 @t5305 @t5304 @t5303)) % 1.71/1.91 (define @t5307 () (@list @t1342 @t5301)) % 1.71/1.91 (define @t5308 () (forall @t5307 @t5306)) % 1.71/1.91 (define @t5309 () (or @t4609 @t5308)) % 1.71/1.91 (define @t5310 () (or @t5305 @t5304 @t5303)) % 1.71/1.91 (define @t5311 () (or @t4657 @t5310)) % 1.71/1.91 (define @t5312 () (forall @t5307 @t5311)) % 1.71/1.91 (define @t5313 () (@list @t5301)) % 1.71/1.91 (define @t5314 () (forall @t5313 @t5311)) % 1.71/1.91 (define @t5315 () (forall @t5313 @t5310)) % 1.71/1.91 (define @t5316 () (or @t4657 @t5315)) % 1.71/1.91 (define @t5317 () (tptp.in @t4 @t4651)) % 1.71/1.91 (define @t5318 () (forall @t9 (or @t2357 @t4904 @t5317))) % 1.71/1.91 (define @t5319 () (or @t4661 @t5318)) % 1.71/1.91 (define @t5320 () (or @t197 @t1217 @t1358)) % 1.71/1.91 (define @t5321 () (=> tptp.inIntersectImpInUnion2 @t5277)) % 1.71/1.91 (define @t5322 () (or @t2614 @t2613 @t2612 @t2611 @t2609)) % 1.71/1.91 (define @t5323 () (or @t2416 @t5322)) % 1.71/1.91 (define @t5324 () (forall @t2616 @t5323)) % 1.71/1.91 (define @t5325 () (@list @t2610 @t2607 @t2608)) % 1.71/1.91 (define @t5326 () (forall @t5325 @t5323)) % 1.71/1.91 (define @t5327 () (forall @t5325 @t5322)) % 1.71/1.91 (define @t5328 () (@var "BOUND_VARIABLE_15505" $$unsorted)) % 1.71/1.91 (define @t5329 () (@var "BOUND_VARIABLE_15503" $$unsorted)) % 1.71/1.91 (define @t5330 () (or @t2416 @t5327)) % 1.71/1.91 (define @t5331 () (tptp.in @t5328 (tptp.binunion @t695 @t5329))) % 1.71/1.91 (define @t5332 () (not (tptp.in @t5328 @t4636))) % 1.71/1.91 (define @t5333 () (not (tptp.in @t5328 @t2))) % 1.71/1.91 (define @t5334 () (not (tptp.in @t5329 @t2413))) % 1.71/1.91 (define @t5335 () (or @t4605 @t5334 @t5333 @t5332 @t5331)) % 1.71/1.91 (define @t5336 () (@list @t1132 @t5329 @t5328)) % 1.71/1.91 (define @t5337 () (forall @t5336 @t5335)) % 1.71/1.91 (define @t5338 () (or @t4607 @t5337)) % 1.71/1.91 (define @t5339 () (or @t5334 @t5333 @t5332 @t5331)) % 1.71/1.91 (define @t5340 () (or @t4605 @t5339)) % 1.71/1.91 (define @t5341 () (forall @t5336 @t5340)) % 1.71/1.91 (define @t5342 () (@list @t5329 @t5328)) % 1.71/1.91 (define @t5343 () (forall @t5342 @t5340)) % 1.71/1.91 (define @t5344 () (forall @t5342 @t5339)) % 1.71/1.91 (define @t5345 () (@var "BOUND_VARIABLE_15484" $$unsorted)) % 1.71/1.91 (define @t5346 () (or @t4605 @t5344)) % 1.71/1.91 (define @t5347 () (tptp.in @t5345 @t4652)) % 1.71/1.91 (define @t5348 () (not (tptp.in @t5345 @t4636))) % 1.71/1.91 (define @t5349 () (not (tptp.in @t5345 @t2))) % 1.71/1.91 (define @t5350 () (or @t4657 @t5349 @t5348 @t5347)) % 1.71/1.91 (define @t5351 () (@list @t1342 @t5345)) % 1.71/1.91 (define @t5352 () (forall @t5351 @t5350)) % 1.71/1.91 (define @t5353 () (or @t4609 @t5352)) % 1.71/1.91 (define @t5354 () (or @t5349 @t5348 @t5347)) % 1.71/1.91 (define @t5355 () (or @t4657 @t5354)) % 1.71/1.91 (define @t5356 () (forall @t5351 @t5355)) % 1.71/1.91 (define @t5357 () (@list @t5345)) % 1.71/1.91 (define @t5358 () (forall @t5357 @t5355)) % 1.71/1.91 (define @t5359 () (forall @t5357 @t5354)) % 1.71/1.91 (define @t5360 () (or @t4657 @t5359)) % 1.71/1.91 (define @t5361 () (tptp.in @t4 @t4652)) % 1.71/1.91 (define @t5362 () (forall @t9 (or @t2357 @t4904 @t5361))) % 1.71/1.91 (define @t5363 () (or @t4661 @t5362)) % 1.71/1.91 (define @t5364 () (or @t197 @t1217 @t1344)) % 1.71/1.91 (define @t5365 () (=> tptp.inIntersectImpInUnion @t5321)) % 1.71/1.91 (define @t5366 () (or @t2622 @t2621 @t2620 @t2619)) % 1.71/1.91 (define @t5367 () (or @t2416 @t5366)) % 1.71/1.91 (define @t5368 () (forall @t2624 @t5367)) % 1.71/1.91 (define @t5369 () (@list @t2617 @t2618)) % 1.71/1.91 (define @t5370 () (forall @t5369 @t5367)) % 1.71/1.91 (define @t5371 () (forall @t5369 @t5366)) % 1.71/1.91 (define @t5372 () (@var "BOUND_VARIABLE_15427" $$unsorted)) % 1.71/1.91 (define @t5373 () (or @t2416 @t5371)) % 1.71/1.91 (define @t5374 () (not (tptp.in @t5372 @t1132))) % 1.71/1.91 (define @t5375 () (tptp.in @t5372 @t4601)) % 1.71/1.91 (define @t5376 () (not (tptp.in @t5372 @t2))) % 1.71/1.91 (define @t5377 () (or @t4605 @t5376 @t5375 @t5374)) % 1.71/1.91 (define @t5378 () (@list @t1132 @t5372)) % 1.71/1.91 (define @t5379 () (forall @t5378 @t5377)) % 1.71/1.91 (define @t5380 () (or @t4607 @t5379)) % 1.71/1.91 (define @t5381 () (or @t5376 @t5375 @t5374)) % 1.71/1.91 (define @t5382 () (or @t4605 @t5381)) % 1.71/1.91 (define @t5383 () (forall @t5378 @t5382)) % 1.71/1.91 (define @t5384 () (@list @t5372)) % 1.71/1.91 (define @t5385 () (forall @t5384 @t5382)) % 1.71/1.91 (define @t5386 () (forall @t5384 @t5381)) % 1.71/1.91 (define @t5387 () (or @t4605 @t5386)) % 1.71/1.91 (define @t5388 () (not @t5155)) % 1.71/1.91 (define @t5389 () (forall @t9 (or @t2357 @t5153 @t5388))) % 1.71/1.91 (define @t5390 () (or @t4609 @t5389)) % 1.71/1.91 (define @t5391 () (or @t197 @t1326 @t1226)) % 1.71/1.91 (define @t5392 () (not @t1327)) % 1.71/1.91 (define @t5393 () (=> tptp.binunionTIRcontra @t5365)) % 1.71/1.91 (define @t5394 () (or @t2630 @t2629 @t2628 @t2626)) % 1.71/1.91 (define @t5395 () (or @t2416 @t5394)) % 1.71/1.91 (define @t5396 () (forall @t2632 @t5395)) % 1.71/1.91 (define @t5397 () (@list @t2627 @t2625)) % 1.71/1.91 (define @t5398 () (forall @t5397 @t5395)) % 1.71/1.91 (define @t5399 () (forall @t5397 @t5394)) % 1.71/1.91 (define @t5400 () (@var "BOUND_VARIABLE_15377" $$unsorted)) % 1.71/1.91 (define @t5401 () (or @t2416 @t5399)) % 1.71/1.91 (define @t5402 () (not (tptp.in @t5400 @t695))) % 1.71/1.91 (define @t5403 () (tptp.in @t5400 @t4601)) % 1.71/1.91 (define @t5404 () (not (tptp.in @t5400 @t2))) % 1.71/1.91 (define @t5405 () (or @t4605 @t5404 @t5403 @t5402)) % 1.71/1.91 (define @t5406 () (@list @t1132 @t5400)) % 1.71/1.91 (define @t5407 () (forall @t5406 @t5405)) % 1.71/1.91 (define @t5408 () (or @t4607 @t5407)) % 1.71/1.91 (define @t5409 () (or @t5404 @t5403 @t5402)) % 1.71/1.91 (define @t5410 () (or @t4605 @t5409)) % 1.71/1.91 (define @t5411 () (forall @t5406 @t5410)) % 1.71/1.91 (define @t5412 () (@list @t5400)) % 1.71/1.91 (define @t5413 () (forall @t5412 @t5410)) % 1.71/1.91 (define @t5414 () (forall @t5412 @t5409)) % 1.71/1.91 (define @t5415 () (or @t4605 @t5414)) % 1.71/1.91 (define @t5416 () (forall @t9 (or @t2357 @t5153 @t2748))) % 1.71/1.91 (define @t5417 () (or @t4609 @t5416)) % 1.71/1.91 (define @t5418 () (or @t197 @t1326 @t1218)) % 1.71/1.91 (define @t5419 () (=> tptp.binunionTILcontra @t5393)) % 1.71/1.91 (define @t5420 () (=> tptp.complementTcontraSubset @t5419)) % 1.71/1.91 (define @t5421 () (or @t2639 @t2638 @t2637 @t2636 @t2634)) % 1.71/1.91 (define @t5422 () (or @t2416 @t5421)) % 1.71/1.91 (define @t5423 () (forall @t2641 @t5422)) % 1.71/1.91 (define @t5424 () (@list @t2635 @t2633)) % 1.71/1.91 (define @t5425 () (forall @t5424 @t5422)) % 1.71/1.91 (define @t5426 () (forall @t5424 @t5421)) % 1.71/1.91 (define @t5427 () (@var "BOUND_VARIABLE_15294" $$unsorted)) % 1.71/1.91 (define @t5428 () (or @t2416 @t5426)) % 1.71/1.91 (define @t5429 () (tptp.in @t5427 @t2409)) % 1.71/1.91 (define @t5430 () (not (tptp.in @t5427 @t1132))) % 1.71/1.91 (define @t5431 () (not (tptp.in @t5427 @t2))) % 1.71/1.91 (define @t5432 () (or @t4605 @t4622 @t5431 @t5430 @t5429)) % 1.71/1.91 (define @t5433 () (@list @t1132 @t5427)) % 1.71/1.91 (define @t5434 () (forall @t5433 @t5432)) % 1.71/1.91 (define @t5435 () (or @t4607 @t5434)) % 1.71/1.91 (define @t5436 () (or @t5431 @t5430 @t5429)) % 1.71/1.91 (define @t5437 () (or @t4605 @t4622 @t5436)) % 1.71/1.91 (define @t5438 () (forall @t5433 @t5437)) % 1.71/1.91 (define @t5439 () (@list @t5427)) % 1.71/1.91 (define @t5440 () (forall @t5439 @t5437)) % 1.71/1.91 (define @t5441 () (forall @t5439 @t5436)) % 1.71/1.91 (define @t5442 () (or @t4605 @t4622 @t5441)) % 1.71/1.91 (define @t5443 () (forall @t9 (or @t2357 @t5388 @t4973))) % 1.71/1.91 (define @t5444 () (or @t4609 @t4625 @t5443)) % 1.71/1.91 (define @t5445 () (=> @t1236 @t5443)) % 1.71/1.91 (define @t5446 () (or @t197 @t1226 @t1204)) % 1.71/1.91 (define @t5447 () (=> tptp.contraSubsetComplement @t5420)) % 1.71/1.91 (define @t5448 () (=> tptp.complementInPowersetComplementIntersect @t5447)) % 1.71/1.91 (define @t5449 () (or @t2644 @t2643)) % 1.71/1.91 (define @t5450 () (or @t2416 @t5449)) % 1.71/1.91 (define @t5451 () (forall @t2646 @t5450)) % 1.71/1.91 (define @t5452 () (@list @t2642)) % 1.71/1.91 (define @t5453 () (forall @t5452 @t5450)) % 1.71/1.91 (define @t5454 () (forall @t5452 @t5449)) % 1.71/1.91 (define @t5455 () (or @t2416 @t5454)) % 1.71/1.91 (define @t5456 () (tptp.subset @t2409 @t4724)) % 1.71/1.91 (define @t5457 () (forall @t1138 (or @t4605 @t5456))) % 1.71/1.91 (define @t5458 () (or @t4607 @t5457)) % 1.71/1.91 (define @t5459 () (or @t4609 @t1300)) % 1.71/1.91 (define @t5460 () (=> tptp.complementSubsetComplementIntersect @t5448)) % 1.71/1.91 (define @t5461 () (or @t2652 @t2651 @t2650 @t2649)) % 1.71/1.91 (define @t5462 () (or @t2416 @t5461)) % 1.71/1.91 (define @t5463 () (forall @t2654 @t5462)) % 1.71/1.91 (define @t5464 () (@list @t2647 @t2648)) % 1.71/1.91 (define @t5465 () (forall @t5464 @t5462)) % 1.71/1.91 (define @t5466 () (forall @t5464 @t5461)) % 1.71/1.91 (define @t5467 () (@var "BOUND_VARIABLE_15183" $$unsorted)) % 1.71/1.91 (define @t5468 () (or @t2416 @t5466)) % 1.71/1.91 (define @t5469 () (tptp.in @t5467 @t4724)) % 1.71/1.91 (define @t5470 () (not (tptp.in @t5467 @t2409))) % 1.71/1.91 (define @t5471 () (not (tptp.in @t5467 @t2))) % 1.71/1.91 (define @t5472 () (or @t4605 @t5471 @t5470 @t5469)) % 1.71/1.91 (define @t5473 () (@list @t1132 @t5467)) % 1.71/1.91 (define @t5474 () (forall @t5473 @t5472)) % 1.71/1.91 (define @t5475 () (or @t4607 @t5474)) % 1.71/1.91 (define @t5476 () (or @t5471 @t5470 @t5469)) % 1.71/1.91 (define @t5477 () (or @t4605 @t5476)) % 1.71/1.91 (define @t5478 () (forall @t5473 @t5477)) % 1.71/1.91 (define @t5479 () (@list @t5467)) % 1.71/1.91 (define @t5480 () (forall @t5479 @t5477)) % 1.71/1.91 (define @t5481 () (forall @t5479 @t5476)) % 1.71/1.91 (define @t5482 () (or @t4605 @t5481)) % 1.71/1.91 (define @t5483 () (forall @t9 (or @t2357 @t4974 @t5043))) % 1.71/1.91 (define @t5484 () (or @t4609 @t5483)) % 1.71/1.91 (define @t5485 () (or @t197 @t1205 @t1292)) % 1.71/1.91 (define @t5486 () (=> tptp.complementImpComplementIntersect @t5460)) % 1.71/1.91 (define @t5487 () (or @t2660 @t2659 @t2658 @t2657)) % 1.71/1.91 (define @t5488 () (or @t2416 @t5487)) % 1.71/1.91 (define @t5489 () (forall @t2662 @t5488)) % 1.71/1.91 (define @t5490 () (@list @t2655 @t2656)) % 1.71/1.91 (define @t5491 () (forall @t5490 @t5488)) % 1.71/1.91 (define @t5492 () (forall @t5490 @t5487)) % 1.71/1.91 (define @t5493 () (@var "BOUND_VARIABLE_15127" $$unsorted)) % 1.71/1.91 (define @t5494 () (or @t2416 @t5492)) % 1.71/1.91 (define @t5495 () (not (tptp.in @t5493 @t4636))) % 1.71/1.91 (define @t5496 () (not (tptp.in @t5493 @t2409))) % 1.71/1.91 (define @t5497 () (not (tptp.in @t5493 @t2))) % 1.71/1.91 (define @t5498 () (or @t4605 @t5497 @t5496 @t5495)) % 1.71/1.91 (define @t5499 () (@list @t1132 @t5493)) % 1.71/1.91 (define @t5500 () (forall @t5499 @t5498)) % 1.71/1.91 (define @t5501 () (or @t4607 @t5500)) % 1.71/1.91 (define @t5502 () (or @t5497 @t5496 @t5495)) % 1.71/1.91 (define @t5503 () (or @t4605 @t5502)) % 1.71/1.91 (define @t5504 () (forall @t5499 @t5503)) % 1.71/1.91 (define @t5505 () (@list @t5493)) % 1.71/1.91 (define @t5506 () (forall @t5505 @t5503)) % 1.71/1.91 (define @t5507 () (forall @t5505 @t5502)) % 1.71/1.91 (define @t5508 () (or @t4605 @t5507)) % 1.71/1.91 (define @t5509 () (forall @t9 (or @t2357 @t4974 @t4904))) % 1.71/1.91 (define @t5510 () (or @t4609 @t5509)) % 1.71/1.91 (define @t5511 () (or @t197 @t1205 @t1217)) % 1.71/1.91 (define @t5512 () (=> tptp.complementTnotintersectT @t5486)) % 1.71/1.91 (define @t5513 () (or @t4607 @t1281)) % 1.71/1.91 (define @t5514 () (=> tptp.doubleComplementEq @t5512)) % 1.71/1.91 (define @t5515 () (or @t4607 @t1278)) % 1.71/1.91 (define @t5516 () (=> tptp.doubleComplementSub2 @t5514)) % 1.71/1.91 (define @t5517 () (or @t4607 @t1275)) % 1.71/1.91 (define @t5518 () (=> tptp.doubleComplementSub1 @t5516)) % 1.71/1.91 (define @t5519 () (or @t2669 @t2668 @t2667)) % 1.71/1.91 (define @t5520 () (or @t2416 @t5519)) % 1.71/1.91 (define @t5521 () (forall @t2671 @t5520)) % 1.71/1.91 (define @t5522 () (@list @t2666)) % 1.71/1.91 (define @t5523 () (forall @t5522 @t5520)) % 1.71/1.91 (define @t5524 () (forall @t5522 @t5519)) % 1.71/1.91 (define @t5525 () (or @t2416 @t5524)) % 1.71/1.91 (define @t5526 () (tptp.in @t4 @t2663)) % 1.71/1.91 (define @t5527 () (forall @t9 (or @t2357 (not @t5526) @t2747))) % 1.71/1.91 (define @t5528 () (or @t4607 @t5527)) % 1.71/1.91 (define @t5529 () (not @t1264)) % 1.71/1.91 (define @t5530 () (or @t197 @t5529 @t696)) % 1.71/1.91 (define @t5531 () (=> tptp.doubleComplementE1 @t5518)) % 1.71/1.91 (define @t5532 () (or @t2675 @t2674 @t2673)) % 1.71/1.91 (define @t5533 () (or @t2416 @t5532)) % 1.71/1.91 (define @t5534 () (forall @t2677 @t5533)) % 1.71/1.91 (define @t5535 () (@list @t2672)) % 1.71/1.91 (define @t5536 () (forall @t5535 @t5533)) % 1.71/1.91 (define @t5537 () (forall @t5535 @t5532)) % 1.71/1.91 (define @t5538 () (or @t2416 @t5537)) % 1.71/1.91 (define @t5539 () (forall @t9 (or @t2357 @t2748 @t5526))) % 1.71/1.91 (define @t5540 () (or @t4607 @t5539)) % 1.71/1.91 (define @t5541 () (or @t197 @t1218 @t1264)) % 1.71/1.91 (define @t5542 () (=> tptp.doubleComplementI1 @t5531)) % 1.71/1.91 (define @t5543 () (or @t2681 @t2680 @t2679)) % 1.71/1.91 (define @t5544 () (or @t2416 @t5543)) % 1.71/1.91 (define @t5545 () (forall @t2683 @t5544)) % 1.71/1.91 (define @t5546 () (@list @t2678)) % 1.71/1.91 (define @t5547 () (forall @t5546 @t5544)) % 1.71/1.91 (define @t5548 () (forall @t5546 @t5543)) % 1.71/1.91 (define @t5549 () (or @t2416 @t5548)) % 1.71/1.91 (define @t5550 () (tptp.subset @t4620 @t2409)) % 1.71/1.91 (define @t5551 () (forall @t1138 (or @t4605 (not @t5550) @t4801))) % 1.71/1.91 (define @t5552 () (or @t4607 @t5551)) % 1.71/1.91 (define @t5553 () (not @t1252)) % 1.71/1.91 (define @t5554 () (or @t4609 @t5553 @t1182)) % 1.71/1.91 (define @t5555 () (=> tptp.contrasubsetT3 @t5542)) % 1.71/1.91 (define @t5556 () (or @t2687 @t2686 @t2685)) % 1.71/1.91 (define @t5557 () (or @t2416 @t5556)) % 1.71/1.91 (define @t5558 () (forall @t2689 @t5557)) % 1.71/1.91 (define @t5559 () (@list @t2684)) % 1.71/1.91 (define @t5560 () (forall @t5559 @t5557)) % 1.71/1.91 (define @t5561 () (forall @t5559 @t5556)) % 1.71/1.91 (define @t5562 () (or @t2416 @t5561)) % 1.71/1.91 (define @t5563 () (forall @t1138 (or @t4605 @t4802 @t5550))) % 1.71/1.91 (define @t5564 () (or @t4607 @t5563)) % 1.71/1.91 (define @t5565 () (or @t4609 @t4817 @t1252)) % 1.71/1.91 (define @t5566 () (=> tptp.contrasubsetT2 @t5555)) % 1.71/1.91 (define @t5567 () (or @t2696 @t2695 @t2694 @t2693 @t2691)) % 1.71/1.91 (define @t5568 () (or @t2416 @t5567)) % 1.71/1.91 (define @t5569 () (forall @t2698 @t5568)) % 1.71/1.91 (define @t5570 () (@list @t2692 @t2690)) % 1.71/1.91 (define @t5571 () (forall @t5570 @t5568)) % 1.71/1.91 (define @t5572 () (forall @t5570 @t5567)) % 1.71/1.91 (define @t5573 () (@var "BOUND_VARIABLE_14935" $$unsorted)) % 1.71/1.91 (define @t5574 () (or @t2416 @t5572)) % 1.71/1.91 (define @t5575 () (not (tptp.in @t5573 @t695))) % 1.71/1.91 (define @t5576 () (tptp.in @t5573 @t1132)) % 1.71/1.91 (define @t5577 () (not (tptp.in @t5573 @t2))) % 1.71/1.91 (define @t5578 () (or @t4605 @t4802 @t5577 @t5576 @t5575)) % 1.71/1.91 (define @t5579 () (@list @t1132 @t5573)) % 1.71/1.91 (define @t5580 () (forall @t5579 @t5578)) % 1.71/1.91 (define @t5581 () (or @t4607 @t5580)) % 1.71/1.91 (define @t5582 () (or @t5577 @t5576 @t5575)) % 1.71/1.91 (define @t5583 () (or @t4605 @t4802 @t5582)) % 1.71/1.91 (define @t5584 () (forall @t5579 @t5583)) % 1.71/1.91 (define @t5585 () (@list @t5573)) % 1.71/1.91 (define @t5586 () (forall @t5585 @t5583)) % 1.71/1.91 (define @t5587 () (forall @t5585 @t5582)) % 1.71/1.91 (define @t5588 () (or @t4605 @t4802 @t5587)) % 1.71/1.91 (define @t5589 () (forall @t9 (or @t2357 @t5155 @t2748))) % 1.71/1.91 (define @t5590 () (or @t4609 @t4817 @t5589)) % 1.71/1.91 (define @t5591 () (or @t4817 @t5589)) % 1.71/1.91 (define @t5592 () (or @t197 @t1169 @t1218)) % 1.71/1.91 (define @t5593 () (forall @t9 @t5592)) % 1.71/1.91 (define @t5594 () (or @t4817 @t5593)) % 1.71/1.91 (define @t5595 () (or @t4817 @t5592)) % 1.71/1.91 (define @t5596 () (or @t197 @t4817 @t1169 @t1218)) % 1.71/1.91 (define @t5597 () (or @t4817 @t1169 @t1218)) % 1.71/1.91 (define @t5598 () (=> tptp.contrasubsetT1 @t5566)) % 1.71/1.91 (define @t5599 () (or @t2705 @t2704 @t2703 @t2702 @t2700)) % 1.71/1.91 (define @t5600 () (or @t2416 @t5599)) % 1.71/1.91 (define @t5601 () (forall @t2707 @t5600)) % 1.71/1.91 (define @t5602 () (@list @t2701 @t2699)) % 1.71/1.91 (define @t5603 () (forall @t5602 @t5600)) % 1.71/1.91 (define @t5604 () (forall @t5602 @t5599)) % 1.71/1.91 (define @t5605 () (@var "BOUND_VARIABLE_14874" $$unsorted)) % 1.71/1.91 (define @t5606 () (or @t2416 @t5604)) % 1.71/1.91 (define @t5607 () (not (tptp.in @t5605 @t695))) % 1.71/1.91 (define @t5608 () (not (tptp.in @t5605 @t1132))) % 1.71/1.91 (define @t5609 () (not (tptp.in @t5605 @t2))) % 1.71/1.91 (define @t5610 () (or @t4605 @t4622 @t5609 @t5608 @t5607)) % 1.71/1.91 (define @t5611 () (@list @t1132 @t5605)) % 1.71/1.91 (define @t5612 () (forall @t5611 @t5610)) % 1.71/1.91 (define @t5613 () (or @t4607 @t5612)) % 1.71/1.91 (define @t5614 () (or @t5609 @t5608 @t5607)) % 1.71/1.91 (define @t5615 () (or @t4605 @t4622 @t5614)) % 1.71/1.91 (define @t5616 () (forall @t5611 @t5615)) % 1.71/1.91 (define @t5617 () (@list @t5605)) % 1.71/1.91 (define @t5618 () (forall @t5617 @t5615)) % 1.71/1.91 (define @t5619 () (forall @t5617 @t5614)) % 1.71/1.91 (define @t5620 () (or @t4605 @t4622 @t5619)) % 1.71/1.91 (define @t5621 () (forall @t9 (or @t2357 @t5388 @t2748))) % 1.71/1.91 (define @t5622 () (or @t4609 @t4625 @t5621)) % 1.71/1.91 (define @t5623 () (or @t4625 @t5621)) % 1.71/1.91 (define @t5624 () (or @t197 @t1226 @t1218)) % 1.71/1.91 (define @t5625 () (forall @t9 @t5624)) % 1.71/1.91 (define @t5626 () (or @t4625 @t5625)) % 1.71/1.91 (define @t5627 () (or @t4625 @t5624)) % 1.71/1.91 (define @t5628 () (or @t197 @t4625 @t1226 @t1218)) % 1.71/1.91 (define @t5629 () (or @t4625 @t1226 @t1218)) % 1.71/1.91 (define @t5630 () (=> tptp.contrasubsetT @t5598)) % 1.71/1.91 (define @t5631 () (or @t2713 @t2712 @t2711 @t2710)) % 1.71/1.91 (define @t5632 () (or @t2416 @t5631)) % 1.71/1.91 (define @t5633 () (forall @t2715 @t5632)) % 1.71/1.91 (define @t5634 () (@list @t2708 @t2709)) % 1.71/1.91 (define @t5635 () (forall @t5634 @t5632)) % 1.71/1.91 (define @t5636 () (forall @t5634 @t5631)) % 1.71/1.91 (define @t5637 () (@var "BOUND_VARIABLE_14814" $$unsorted)) % 1.71/1.91 (define @t5638 () (or @t2416 @t5636)) % 1.71/1.91 (define @t5639 () (not (tptp.in @t5637 @t4636))) % 1.71/1.91 (define @t5640 () (tptp.in @t5637 @t1132)) % 1.71/1.91 (define @t5641 () (not (tptp.in @t5637 @t2))) % 1.71/1.91 (define @t5642 () (or @t4605 @t5641 @t5640 @t5639)) % 1.71/1.91 (define @t5643 () (@list @t1132 @t5637)) % 1.71/1.91 (define @t5644 () (forall @t5643 @t5642)) % 1.71/1.91 (define @t5645 () (or @t4607 @t5644)) % 1.71/1.91 (define @t5646 () (or @t5641 @t5640 @t5639)) % 1.71/1.91 (define @t5647 () (or @t4605 @t5646)) % 1.71/1.91 (define @t5648 () (forall @t5643 @t5647)) % 1.71/1.91 (define @t5649 () (@list @t5637)) % 1.71/1.91 (define @t5650 () (forall @t5649 @t5647)) % 1.71/1.91 (define @t5651 () (forall @t5649 @t5646)) % 1.71/1.91 (define @t5652 () (or @t4605 @t5651)) % 1.71/1.91 (define @t5653 () (forall @t9 (or @t2357 @t5155 @t4904))) % 1.71/1.91 (define @t5654 () (or @t4609 @t5653)) % 1.71/1.91 (define @t5655 () (or @t197 @t1169 @t1217)) % 1.71/1.91 (define @t5656 () (=> tptp.binintersectTERcontra @t5630)) % 1.71/1.91 (define @t5657 () (or @t2721 @t2720 @t2719 @t2718)) % 1.71/1.91 (define @t5658 () (or @t2416 @t5657)) % 1.71/1.91 (define @t5659 () (forall @t2723 @t5658)) % 1.71/1.91 (define @t5660 () (@list @t2716 @t2717)) % 1.71/1.91 (define @t5661 () (forall @t5660 @t5658)) % 1.71/1.91 (define @t5662 () (forall @t5660 @t5657)) % 1.71/1.91 (define @t5663 () (@var "BOUND_VARIABLE_14764" $$unsorted)) % 1.71/1.91 (define @t5664 () (or @t2416 @t5662)) % 1.71/1.91 (define @t5665 () (not (tptp.in @t5663 @t4636))) % 1.71/1.91 (define @t5666 () (tptp.in @t5663 @t695)) % 1.71/1.91 (define @t5667 () (not (tptp.in @t5663 @t2))) % 1.71/1.91 (define @t5668 () (or @t4605 @t5667 @t5666 @t5665)) % 1.71/1.91 (define @t5669 () (@list @t1132 @t5663)) % 1.71/1.91 (define @t5670 () (forall @t5669 @t5668)) % 1.71/1.91 (define @t5671 () (or @t4607 @t5670)) % 1.71/1.91 (define @t5672 () (or @t5667 @t5666 @t5665)) % 1.71/1.91 (define @t5673 () (or @t4605 @t5672)) % 1.71/1.91 (define @t5674 () (forall @t5669 @t5673)) % 1.71/1.91 (define @t5675 () (@list @t5663)) % 1.71/1.91 (define @t5676 () (forall @t5675 @t5673)) % 1.71/1.91 (define @t5677 () (forall @t5675 @t5672)) % 1.71/1.91 (define @t5678 () (or @t4605 @t5677)) % 1.71/1.91 (define @t5679 () (forall @t9 (or @t2357 @t2747 @t4904))) % 1.71/1.91 (define @t5680 () (or @t4609 @t5679)) % 1.71/1.91 (define @t5681 () (or @t197 @t696 @t1217)) % 1.71/1.91 (define @t5682 () (=> tptp.binintersectTELcontra @t5656)) % 1.71/1.91 (define @t5683 () (or @t2727 @t2726 @t2725)) % 1.71/1.91 (define @t5684 () (or @t2416 @t5683)) % 1.71/1.91 (define @t5685 () (forall @t2729 @t5684)) % 1.71/1.91 (define @t5686 () (@list @t2724)) % 1.71/1.91 (define @t5687 () (forall @t5686 @t5684)) % 1.71/1.91 (define @t5688 () (forall @t5686 @t5683)) % 1.71/1.91 (define @t5689 () (or @t2416 @t5688)) % 1.71/1.91 (define @t5690 () (forall @t9 (or @t2357 @t4973 @t2747))) % 1.71/1.91 (define @t5691 () (or @t4607 @t5690)) % 1.71/1.91 (define @t5692 () (or @t197 @t1204 @t696)) % 1.71/1.91 (define @t5693 () (=> tptp.complementTE1 @t5682)) % 1.71/1.91 (define @t5694 () (or @t2733 @t2732 @t2731)) % 1.71/1.91 (define @t5695 () (or @t2416 @t5694)) % 1.71/1.91 (define @t5696 () (forall @t2735 @t5695)) % 1.71/1.91 (define @t5697 () (@list @t2730)) % 1.71/1.91 (define @t5698 () (forall @t5697 @t5695)) % 1.71/1.91 (define @t5699 () (forall @t5697 @t5694)) % 1.71/1.91 (define @t5700 () (or @t2416 @t5699)) % 1.71/1.91 (define @t5701 () (forall @t9 (or @t2357 @t2748 @t4974))) % 1.71/1.91 (define @t5702 () (or @t4607 @t5701)) % 1.71/1.91 (define @t5703 () (or @t197 @t1218 @t1205)) % 1.71/1.91 (define @t5704 () (=> tptp.complementTI1 @t5693)) % 1.71/1.91 (define @t5705 () (or @t2742 @t2741 @t2740 @t2739 @t2738)) % 1.71/1.91 (define @t5706 () (or @t2416 @t5705)) % 1.71/1.91 (define @t5707 () (forall @t2744 @t5706)) % 1.71/1.91 (define @t5708 () (@list @t2736 @t2737)) % 1.71/1.91 (define @t5709 () (forall @t5708 @t5706)) % 1.71/1.91 (define @t5710 () (forall @t5708 @t5705)) % 1.71/1.91 (define @t5711 () (@var "BOUND_VARIABLE_14654" $$unsorted)) % 1.71/1.91 (define @t5712 () (or @t2416 @t5710)) % 1.71/1.91 (define @t5713 () (tptp.in @t5711 @t1132)) % 1.71/1.91 (define @t5714 () (not (tptp.in @t5711 @t695))) % 1.71/1.91 (define @t5715 () (not (tptp.in @t5711 @t2))) % 1.71/1.91 (define @t5716 () (tptp.powerset @t1132)) % 1.71/1.91 (define @t5717 () (tptp.in @t695 @t5716)) % 1.71/1.91 (define @t5718 () (not @t5717)) % 1.71/1.91 (define @t5719 () (or @t4605 @t5718 @t5715 @t5714 @t5713)) % 1.71/1.91 (define @t5720 () (@list @t1132 @t5711)) % 1.71/1.91 (define @t5721 () (forall @t5720 @t5719)) % 1.71/1.91 (define @t5722 () (or @t4607 @t5721)) % 1.71/1.91 (define @t5723 () (or @t5715 @t5714 @t5713)) % 1.71/1.91 (define @t5724 () (or @t4605 @t5718 @t5723)) % 1.71/1.91 (define @t5725 () (forall @t5720 @t5724)) % 1.71/1.91 (define @t5726 () (@list @t5711)) % 1.71/1.91 (define @t5727 () (forall @t5726 @t5724)) % 1.71/1.91 (define @t5728 () (forall @t5726 @t5723)) % 1.71/1.91 (define @t5729 () (or @t4605 @t5718 @t5728)) % 1.71/1.91 (define @t5730 () (forall @t9 (or @t2357 @t2748 @t5155))) % 1.71/1.91 (define @t5731 () (not @t1190)) % 1.71/1.91 (define @t5732 () (or @t4609 @t5731 @t5730)) % 1.71/1.91 (define @t5733 () (or @t5731 @t5730)) % 1.71/1.91 (define @t5734 () (or @t197 @t1218 @t1169)) % 1.71/1.91 (define @t5735 () (forall @t9 @t5734)) % 1.71/1.91 (define @t5736 () (or @t5731 @t5735)) % 1.71/1.91 (define @t5737 () (or @t5731 @t5734)) % 1.71/1.91 (define @t5738 () (or @t197 @t5731 @t1218 @t1169)) % 1.71/1.91 (define @t5739 () (or @t5731 @t1218 @t1169)) % 1.71/1.91 (define @t5740 () (or @t1218 @t1169)) % 1.71/1.91 (define @t5741 () (=> tptp.powersetTE1 @t5704)) % 1.71/1.91 (define @t5742 () (or @t2750 @t2749 @t2746)) % 1.71/1.91 (define @t5743 () (or @t2416 @t5742)) % 1.71/1.91 (define @t5744 () (forall @t2752 @t5743)) % 1.71/1.91 (define @t5745 () (@list @t2745)) % 1.71/1.91 (define @t5746 () (forall @t5745 @t5743)) % 1.71/1.91 (define @t5747 () (forall @t5745 @t5742)) % 1.71/1.91 (define @t5748 () (or @t2416 @t5747)) % 1.71/1.91 (define @t5749 () (not @t5730)) % 1.71/1.91 (define @t5750 () (forall @t1138 (or @t4605 @t5749 @t5717))) % 1.71/1.91 (define @t5751 () (or @t4607 @t5750)) % 1.71/1.91 (define @t5752 () (or @t4609 @t5749 @t1190)) % 1.71/1.91 (define @t5753 () (=> @t5730 @t1190)) % 1.71/1.91 (define @t5754 () (=> tptp.powersetTI1 @t5741)) % 1.71/1.91 (define @t5755 () (or @t2756 @t2755 @t2754)) % 1.71/1.91 (define @t5756 () (or @t2416 @t5755)) % 1.71/1.91 (define @t5757 () (forall @t2758 @t5756)) % 1.71/1.91 (define @t5758 () (@list @t2753)) % 1.71/1.91 (define @t5759 () (forall @t5758 @t5756)) % 1.71/1.91 (define @t5760 () (forall @t5758 @t5755)) % 1.71/1.91 (define @t5761 () (or @t2416 @t5760)) % 1.71/1.91 (define @t5762 () (forall @t1138 (or @t4605 @t5749 @t4801))) % 1.71/1.91 (define @t5763 () (or @t4607 @t5762)) % 1.71/1.91 (define @t5764 () (or @t4609 @t5749 @t1182)) % 1.71/1.91 (define @t5765 () (=> @t5730 @t1182)) % 1.71/1.91 (define @t5766 () (=> tptp.subsetTI @t5754)) % 1.71/1.91 (define @t5767 () (or @t2764 @t2763 @t2762 @t2760)) % 1.71/1.91 (define @t5768 () (or @t2416 @t5767)) % 1.71/1.91 (define @t5769 () (forall @t2766 @t5768)) % 1.71/1.91 (define @t5770 () (@list @t2759)) % 1.71/1.91 (define @t5771 () (forall @t5770 @t5768)) % 1.71/1.91 (define @t5772 () (forall @t5770 @t5767)) % 1.71/1.91 (define @t5773 () (or @t2416 @t5772)) % 1.71/1.91 (define @t5774 () (forall @t9 (or @t2357 @t5388 @t2747))) % 1.71/1.91 (define @t5775 () (not @t5774)) % 1.71/1.91 (define @t5776 () (forall @t1138 (or @t4605 @t5749 @t5775 @t1168))) % 1.71/1.91 (define @t5777 () (or @t4607 @t5776)) % 1.71/1.91 (define @t5778 () (or @t4609 @t5749 @t5775 @t1168)) % 1.71/1.91 (define @t5779 () (or @t5749 @t5775 @t1168)) % 1.71/1.91 (define @t5780 () (=> @t5774 @t1168)) % 1.71/1.91 (define @t5781 () (=> @t5730 @t5780)) % 1.71/1.91 (define @t5782 () (or @t197 @t1226 @t696)) % 1.71/1.91 (define @t5783 () (=> tptp.setextT @t5766)) % 1.71/1.91 (define @t5784 () (or @t4607 @t1165)) % 1.71/1.91 (define @t5785 () (=> tptp.complementT_lem @t5783)) % 1.71/1.91 (define @t5786 () (or @t2770 @t2769)) % 1.71/1.91 (define @t5787 () (or @t2416 @t5786)) % 1.71/1.91 (define @t5788 () (forall @t2772 @t5787)) % 1.71/1.91 (define @t5789 () (@list @t2768)) % 1.71/1.91 (define @t5790 () (forall @t5789 @t5787)) % 1.71/1.91 (define @t5791 () (forall @t5789 @t5786)) % 1.71/1.91 (define @t5792 () (or @t2416 @t5791)) % 1.71/1.91 (define @t5793 () (tptp.setminus @t695 @t1132)) % 1.71/1.91 (define @t5794 () (tptp.in @t5793 @t2413)) % 1.71/1.91 (define @t5795 () (forall @t1138 (or @t4605 @t5794))) % 1.71/1.91 (define @t5796 () (or @t4607 @t5795)) % 1.71/1.91 (define @t5797 () (or @t4609 @t1158)) % 1.71/1.91 (define @t5798 () (=> tptp.setminusT_lem @t5785)) % 1.71/1.91 (define @t5799 () (or @t4607 @t1154)) % 1.71/1.91 (define @t5800 () (=> tptp.powersetT_lem @t5798)) % 1.71/1.91 (define @t5801 () (or @t2778 @t2777)) % 1.71/1.91 (define @t5802 () (or @t2416 @t5801)) % 1.71/1.91 (define @t5803 () (forall @t2780 @t5802)) % 1.71/1.91 (define @t5804 () (@list @t2776)) % 1.71/1.91 (define @t5805 () (forall @t5804 @t5802)) % 1.71/1.91 (define @t5806 () (forall @t5804 @t5801)) % 1.71/1.91 (define @t5807 () (or @t2416 @t5806)) % 1.71/1.91 (define @t5808 () (tptp.in @t4601 @t2413)) % 1.71/1.91 (define @t5809 () (forall @t1138 (or @t4605 @t5808))) % 1.71/1.91 (define @t5810 () (or @t4607 @t5809)) % 1.71/1.91 (define @t5811 () (or @t4609 @t1147)) % 1.71/1.91 (define @t5812 () (=> tptp.binunionT_lem @t5800)) % 1.71/1.91 (define @t5813 () (or @t2783 @t2782)) % 1.71/1.91 (define @t5814 () (or @t2416 @t5813)) % 1.71/1.91 (define @t5815 () (forall @t2785 @t5814)) % 1.71/1.91 (define @t5816 () (@list @t2781)) % 1.71/1.91 (define @t5817 () (forall @t5816 @t5814)) % 1.71/1.91 (define @t5818 () (forall @t5816 @t5813)) % 1.71/1.91 (define @t5819 () (or @t2416 @t5818)) % 1.71/1.91 (define @t5820 () (tptp.in @t4636 @t2413)) % 1.71/1.91 (define @t5821 () (forall @t1138 (or @t4605 @t5820))) % 1.71/1.91 (define @t5822 () (or @t4607 @t5821)) % 1.71/1.91 (define @t5823 () (or @t4609 @t1135)) % 1.71/1.91 (define @t5824 () (=> tptp.binintersectT_lem @t5812)) % 1.71/1.91 (define @t5825 () (or @t2788 @t2787)) % 1.71/1.91 (define @t5826 () (or @t2357 @t5825)) % 1.71/1.91 (define @t5827 () (forall @t2790 @t5826)) % 1.71/1.91 (define @t5828 () (@list @t2786)) % 1.71/1.91 (define @t5829 () (forall @t5828 @t5826)) % 1.71/1.91 (define @t5830 () (forall @t5828 @t5825)) % 1.71/1.91 (define @t5831 () (or @t2357 @t5830)) % 1.71/1.91 (define @t5832 () (tptp.if @t2 @t173 @t4 @t19)) % 1.71/1.91 (define @t5833 () (tptp.in @t5832 @t3067)) % 1.71/1.91 (define @t5834 () (forall @t70 (or @t2175 @t5833))) % 1.71/1.91 (define @t5835 () (or @t197 @t5834)) % 1.71/1.91 (define @t5836 () (_ tptp.in @t5832)) % 1.71/1.91 (define @t5837 () (or @t3841 @t1127)) % 1.71/1.91 (define @t5838 () (=> tptp.iftrueorfalse @t5824)) % 1.71/1.91 (define @t5839 () (or @t2357 false @t2793 @t2792)) % 1.71/1.91 (define @t5840 () (= @t2791 (tptp.if @t2 @t173 @t4 @t2791))) % 1.71/1.91 (define @t5841 () (or @t173 @t2357 @t173 @t2793 @t5840)) % 1.71/1.91 (define @t5842 () (or @t2357 @t173 @t2793 @t5840)) % 1.71/1.91 (define @t5843 () (forall @t179 @t5842)) % 1.71/1.91 (define @t5844 () (forall @t2795 @t5843)) % 1.71/1.91 (define @t5845 () (forall (@list @t2 @t4 @t2791 @t173) @t5842)) % 1.71/1.91 (define @t5846 () (@list @t2 @t173 @t4 @t2791)) % 1.71/1.91 (define @t5847 () (or @t2793 @t5840)) % 1.71/1.91 (define @t5848 () (or @t2357 @t173 @t5847)) % 1.71/1.91 (define @t5849 () (forall @t5846 @t5848)) % 1.71/1.91 (define @t5850 () (@list @t2791)) % 1.71/1.91 (define @t5851 () (forall @t5850 @t5848)) % 1.71/1.91 (define @t5852 () (forall @t5850 @t5847)) % 1.71/1.91 (define @t5853 () (or @t2357 @t173 @t5852)) % 1.71/1.91 (define @t5854 () (forall @t70 (or @t2175 (= @t19 @t5832)))) % 1.71/1.91 (define @t5855 () (or @t197 @t173 @t5854)) % 1.71/1.91 (define @t5856 () (or @t173 @t5854)) % 1.71/1.91 (define @t5857 () (= @t19 @t1103)) % 1.71/1.91 (define @t5858 () (or @t3841 @t5857)) % 1.71/1.91 (define @t5859 () (forall @t70 @t5858)) % 1.71/1.91 (define @t5860 () (or @t173 @t5859)) % 1.71/1.91 (define @t5861 () (or @t173 @t5858)) % 1.71/1.91 (define @t5862 () (or @t3841 @t173 @t5857)) % 1.71/1.91 (define @t5863 () (=> @t1064 @t5857)) % 1.71/1.91 (define @t5864 () (=> tptp.iffalse @t5838)) % 1.71/1.91 (define @t5865 () (or @t2357 @t3817 @t2798 @t2797)) % 1.71/1.91 (define @t5866 () (= @t4 (tptp.if @t2 @t173 @t4 @t2796))) % 1.71/1.91 (define @t5867 () (not (= @t173 true))) % 1.71/1.91 (define @t5868 () (or @t1064 @t2357 @t1064 @t2798 @t5866)) % 1.71/1.91 (define @t5869 () (or @t2357 @t1064 @t2798 @t5866)) % 1.71/1.91 (define @t5870 () (forall @t179 @t5869)) % 1.71/1.91 (define @t5871 () (forall @t2800 @t5870)) % 1.71/1.91 (define @t5872 () (forall (@list @t2 @t4 @t2796 @t173) @t5869)) % 1.71/1.91 (define @t5873 () (@list @t2 @t173 @t4 @t2796)) % 1.71/1.91 (define @t5874 () (or @t2798 @t5866)) % 1.71/1.91 (define @t5875 () (or @t2357 @t1064 @t5874)) % 1.71/1.91 (define @t5876 () (forall @t5873 @t5875)) % 1.71/1.91 (define @t5877 () (@list @t2796)) % 1.71/1.91 (define @t5878 () (forall @t5877 @t5875)) % 1.71/1.91 (define @t5879 () (forall @t5877 @t5874)) % 1.71/1.91 (define @t5880 () (or @t2357 @t1064 @t5879)) % 1.71/1.91 (define @t5881 () (forall @t70 (or @t2175 (= @t4 @t5832)))) % 1.71/1.91 (define @t5882 () (or @t197 @t1064 @t5881)) % 1.71/1.91 (define @t5883 () (or @t1064 @t5881)) % 1.71/1.91 (define @t5884 () (= @t4 @t1103)) % 1.71/1.91 (define @t5885 () (or @t3841 @t5884)) % 1.71/1.91 (define @t5886 () (forall @t70 @t5885)) % 1.71/1.91 (define @t5887 () (or @t1064 @t5886)) % 1.71/1.91 (define @t5888 () (or @t1064 @t5885)) % 1.71/1.91 (define @t5889 () (or @t3841 @t1064 @t5884)) % 1.71/1.91 (define @t5890 () (=> @t173 @t5884)) % 1.71/1.91 (define @t5891 () (=> tptp.iftrue @t5864)) % 1.71/1.91 (define @t5892 () (= @t2801 @t2802)) % 1.71/1.91 (define @t5893 () (or @t2805 @t2803 @t5892)) % 1.71/1.91 (define @t5894 () (or @t2803 @t5892)) % 1.71/1.91 (define @t5895 () (or @t2805 @t5894)) % 1.71/1.91 (define @t5896 () (forall @t2806 @t5895)) % 1.71/1.91 (define @t5897 () (@list @t2801)) % 1.71/1.91 (define @t5898 () (forall @t5897 @t5895)) % 1.71/1.91 (define @t5899 () (forall @t5897 @t5894)) % 1.71/1.91 (define @t5900 () (or @t2805 @t5899)) % 1.71/1.91 (define @t5901 () (forall @t9 (or @t2748 (= @t4 @t2802)))) % 1.71/1.91 (define @t5902 () (not @t762)) % 1.71/1.91 (define @t5903 () (or @t5902 @t5901)) % 1.71/1.91 (define @t5904 () (= @t4 @t760)) % 1.71/1.91 (define @t5905 () (or @t1218 @t5904)) % 1.71/1.91 (define @t5906 () (=> tptp.theeq @t5891)) % 1.71/1.91 (define @t5907 () (or @t2809 @t2808)) % 1.71/1.91 (define @t5908 () (or @t2357 @t5907)) % 1.71/1.91 (define @t5909 () (forall @t2811 @t5908)) % 1.71/1.91 (define @t5910 () (@list @t2807)) % 1.71/1.91 (define @t5911 () (forall @t5910 @t5908)) % 1.71/1.91 (define @t5912 () (forall @t5910 @t5907)) % 1.71/1.91 (define @t5913 () (or @t2357 @t5912)) % 1.71/1.91 (define @t5914 () (tptp.in @t5832 @t2)) % 1.71/1.91 (define @t5915 () (forall @t70 (or @t2175 @t5914))) % 1.71/1.91 (define @t5916 () (or @t197 @t5915)) % 1.71/1.91 (define @t5917 () (or @t3841 @t1105)) % 1.71/1.91 (define @t5918 () (=> tptp.ifp @t5906)) % 1.71/1.91 (define @t5919 () (and @t1064 (= @t2812 @t289))) % 1.71/1.91 (define @t5920 () (or @t2813 @t5919)) % 1.71/1.91 (define @t5921 () (lambda @t1068 @t5920)) % 1.71/1.91 (define @t5922 () (tptp.dsetconstr @t2 @t5921)) % 1.71/1.91 (define @t5923 () (tptp.singleton @t5922)) % 1.71/1.91 (define @t5924 () (or @t2357 @t2814 @t5923)) % 1.71/1.91 (define @t5925 () (or @t2814 @t5923)) % 1.71/1.91 (define @t5926 () (or @t2357 @t5925)) % 1.71/1.91 (define @t5927 () (forall @t2815 @t5926)) % 1.71/1.91 (define @t5928 () (@list @t2812)) % 1.71/1.91 (define @t5929 () (forall @t5928 @t5926)) % 1.71/1.91 (define @t5930 () (forall @t5928 @t5925)) % 1.71/1.91 (define @t5931 () (or @t2357 @t5930)) % 1.71/1.91 (define @t5932 () (lambda @t1068 (or @t2813 (and @t1064 @t3192)))) % 1.71/1.91 (define @t5933 () (tptp.dsetconstr @t2 @t5932)) % 1.71/1.91 (define @t5934 () (tptp.singleton @t5933)) % 1.71/1.91 (define @t5935 () (forall @t70 (or @t2175 @t5934))) % 1.71/1.91 (define @t5936 () (or @t197 @t5935)) % 1.71/1.91 (define @t5937 () (_ @t155 @t5932)) % 1.71/1.91 (define @t5938 () (_ tptp.singleton @t5937)) % 1.71/1.91 (define @t5939 () (or @t3841 @t5938)) % 1.71/1.91 (define @t5940 () (=> tptp.ifSingleton @t5918)) % 1.71/1.91 (define @t5941 () (= @t289 @t2819)) % 1.71/1.91 (define @t5942 () (and @t3817 @t5941)) % 1.71/1.91 (define @t5943 () (and true @t745)) % 1.71/1.91 (define @t5944 () (or @t5943 @t5942)) % 1.71/1.91 (define @t5945 () (lambda @t1068 @t5944)) % 1.71/1.91 (define @t5946 () (tptp.dsetconstr @t2 @t5945)) % 1.71/1.91 (define @t5947 () (= @t2817 @t5946)) % 1.71/1.91 (define @t5948 () (or @t2357 @t3817 @t2820 @t5947)) % 1.71/1.91 (define @t5949 () (= @t2817 (tptp.dsetconstr @t2 (lambda @t1068 (or @t2813 (and @t1064 @t5941)))))) % 1.71/1.91 (define @t5950 () (or @t1064 @t2357 @t1064 @t2820 @t5949)) % 1.71/1.91 (define @t5951 () (or @t2357 @t1064 @t2820 @t5949)) % 1.71/1.91 (define @t5952 () (forall @t179 @t5951)) % 1.71/1.91 (define @t5953 () (forall @t2822 @t5952)) % 1.71/1.91 (define @t5954 () (forall (@list @t2 @t4 @t2819 @t173) @t5951)) % 1.71/1.91 (define @t5955 () (@list @t2 @t173 @t4 @t2819)) % 1.71/1.91 (define @t5956 () (and @t1064 (= @t2819 @t289))) % 1.71/1.91 (define @t5957 () (or @t2813 @t5956)) % 1.71/1.91 (define @t5958 () (lambda @t1068 @t5957)) % 1.71/1.91 (define @t5959 () (tptp.dsetconstr @t2 @t5958)) % 1.71/1.91 (define @t5960 () (= @t2817 @t5959)) % 1.71/1.91 (define @t5961 () (or @t2357 @t1064 @t2820 @t5960)) % 1.71/1.91 (define @t5962 () (or @t2820 @t5960)) % 1.71/1.91 (define @t5963 () (or @t2357 @t1064 @t5962)) % 1.71/1.91 (define @t5964 () (forall @t5955 @t5963)) % 1.71/1.91 (define @t5965 () (@list @t2819)) % 1.71/1.91 (define @t5966 () (forall @t5965 @t5963)) % 1.71/1.91 (define @t5967 () (forall @t5965 @t5962)) % 1.71/1.91 (define @t5968 () (or @t2357 @t1064 @t5967)) % 1.71/1.91 (define @t5969 () (forall @t70 (or @t2175 (= @t2817 @t5933)))) % 1.71/1.91 (define @t5970 () (or @t197 @t1064 @t5969)) % 1.71/1.91 (define @t5971 () (or @t1064 @t5969)) % 1.71/1.91 (define @t5972 () (= @t279 @t5937)) % 1.71/1.91 (define @t5973 () (or @t3841 @t5972)) % 1.71/1.91 (define @t5974 () (forall @t70 @t5973)) % 1.71/1.91 (define @t5975 () (or @t1064 @t5974)) % 1.71/1.91 (define @t5976 () (or @t1064 @t5973)) % 1.71/1.91 (define @t5977 () (or @t3841 @t1064 @t5972)) % 1.71/1.91 (define @t5978 () (=> @t173 @t5972)) % 1.71/1.91 (define @t5979 () (=> tptp.iftrueProp2 @t5940)) % 1.71/1.91 (define @t5980 () (= @t289 @t2824)) % 1.71/1.91 (define @t5981 () (and @t3817 @t5980)) % 1.71/1.91 (define @t5982 () (or @t5943 @t5981)) % 1.71/1.91 (define @t5983 () (lambda @t1068 @t5982)) % 1.71/1.91 (define @t5984 () (tptp.dsetconstr @t2 @t5983)) % 1.71/1.91 (define @t5985 () (tptp.in @t4 @t5984)) % 1.71/1.91 (define @t5986 () (or @t2357 @t3817 @t2825 @t5985)) % 1.71/1.91 (define @t5987 () (tptp.in @t4 (tptp.dsetconstr @t2 (lambda @t1068 (or @t2813 (and @t1064 @t5980)))))) % 1.71/1.91 (define @t5988 () (or @t1064 @t2357 @t1064 @t2825 @t5987)) % 1.71/1.91 (define @t5989 () (or @t2357 @t1064 @t2825 @t5987)) % 1.71/1.91 (define @t5990 () (forall @t179 @t5989)) % 1.71/1.91 (define @t5991 () (forall @t2827 @t5990)) % 1.71/1.91 (define @t5992 () (forall (@list @t2 @t4 @t2824 @t173) @t5989)) % 1.71/1.91 (define @t5993 () (@list @t2 @t173 @t4 @t2824)) % 1.71/1.91 (define @t5994 () (and @t1064 (= @t2824 @t289))) % 1.71/1.91 (define @t5995 () (or @t2813 @t5994)) % 1.71/1.91 (define @t5996 () (lambda @t1068 @t5995)) % 1.71/1.91 (define @t5997 () (tptp.dsetconstr @t2 @t5996)) % 1.71/1.91 (define @t5998 () (tptp.in @t4 @t5997)) % 1.71/1.91 (define @t5999 () (or @t2357 @t1064 @t2825 @t5998)) % 1.71/1.91 (define @t6000 () (or @t2825 @t5998)) % 1.71/1.91 (define @t6001 () (or @t2357 @t1064 @t6000)) % 1.71/1.91 (define @t6002 () (forall @t5993 @t6001)) % 1.71/1.91 (define @t6003 () (@list @t2824)) % 1.71/1.91 (define @t6004 () (forall @t6003 @t6001)) % 1.71/1.91 (define @t6005 () (forall @t6003 @t6000)) % 1.71/1.91 (define @t6006 () (or @t2357 @t1064 @t6005)) % 1.71/1.91 (define @t6007 () (tptp.in @t4 @t5933)) % 1.71/1.91 (define @t6008 () (forall @t70 (or @t2175 @t6007))) % 1.71/1.91 (define @t6009 () (or @t197 @t1064 @t6008)) % 1.71/1.91 (define @t6010 () (or @t1064 @t6008)) % 1.71/1.91 (define @t6011 () (_ @t5 @t5937)) % 1.71/1.91 (define @t6012 () (or @t3841 @t6011)) % 1.71/1.91 (define @t6013 () (forall @t70 @t6012)) % 1.71/1.91 (define @t6014 () (or @t1064 @t6013)) % 1.71/1.91 (define @t6015 () (or @t1064 @t6012)) % 1.71/1.91 (define @t6016 () (or @t3841 @t1064 @t6011)) % 1.71/1.91 (define @t6017 () (=> @t173 @t6011)) % 1.71/1.91 (define @t6018 () (=> tptp.iftrueProp1 @t5979)) % 1.71/1.91 (define @t6019 () (and @t4054 @t2829)) % 1.71/1.91 (define @t6020 () (and false @t745)) % 1.71/1.91 (define @t6021 () (or @t6020 @t6019)) % 1.71/1.91 (define @t6022 () (lambda @t1068 @t6021)) % 1.71/1.91 (define @t6023 () (tptp.dsetconstr @t2 @t6022)) % 1.71/1.91 (define @t6024 () (= @t2830 @t6023)) % 1.71/1.91 (define @t6025 () (or @t2357 @t2831 @t6024)) % 1.71/1.91 (define @t6026 () (or @t2357 false @t2831 @t6024)) % 1.71/1.91 (define @t6027 () (= @t2830 (tptp.dsetconstr @t2 (lambda @t1068 (or @t2813 (and @t1064 @t2829)))))) % 1.71/1.91 (define @t6028 () (or @t173 @t2357 @t173 @t2831 @t6027)) % 1.71/1.91 (define @t6029 () (or @t2357 @t173 @t2831 @t6027)) % 1.71/1.91 (define @t6030 () (forall @t179 @t6029)) % 1.71/1.91 (define @t6031 () (forall @t2832 @t6030)) % 1.71/1.91 (define @t6032 () (forall (@list @t2 @t4 @t2828 @t173) @t6029)) % 1.71/1.91 (define @t6033 () (@list @t2 @t173 @t4 @t2828)) % 1.71/1.91 (define @t6034 () (and @t1064 (= @t2828 @t289))) % 1.71/1.91 (define @t6035 () (or @t2813 @t6034)) % 1.71/1.91 (define @t6036 () (lambda @t1068 @t6035)) % 1.71/1.91 (define @t6037 () (tptp.dsetconstr @t2 @t6036)) % 1.71/1.91 (define @t6038 () (= @t2830 @t6037)) % 1.71/1.91 (define @t6039 () (or @t2357 @t173 @t2831 @t6038)) % 1.71/1.91 (define @t6040 () (or @t2831 @t6038)) % 1.71/1.91 (define @t6041 () (or @t2357 @t173 @t6040)) % 1.71/1.91 (define @t6042 () (forall @t6033 @t6041)) % 1.71/1.91 (define @t6043 () (@list @t2828)) % 1.71/1.91 (define @t6044 () (forall @t6043 @t6041)) % 1.71/1.91 (define @t6045 () (forall @t6043 @t6040)) % 1.71/1.91 (define @t6046 () (or @t2357 @t173 @t6045)) % 1.71/1.91 (define @t6047 () (forall @t70 (or @t2175 (= @t3066 @t5933)))) % 1.71/1.91 (define @t6048 () (or @t197 @t173 @t6047)) % 1.71/1.91 (define @t6049 () (or @t173 @t6047)) % 1.71/1.91 (define @t6050 () (= @t275 @t5937)) % 1.71/1.91 (define @t6051 () (or @t3841 @t6050)) % 1.71/1.91 (define @t6052 () (forall @t70 @t6051)) % 1.71/1.91 (define @t6053 () (or @t173 @t6052)) % 1.71/1.91 (define @t6054 () (or @t173 @t6051)) % 1.71/1.91 (define @t6055 () (or @t3841 @t173 @t6050)) % 1.71/1.91 (define @t6056 () (=> @t1064 @t6050)) % 1.71/1.91 (define @t6057 () (=> tptp.iffalseProp2 @t6018)) % 1.71/1.91 (define @t6058 () (and @t4054 @t2834)) % 1.71/1.91 (define @t6059 () (or @t6020 @t6058)) % 1.71/1.91 (define @t6060 () (lambda @t1068 @t6059)) % 1.71/1.91 (define @t6061 () (tptp.dsetconstr @t2 @t6060)) % 1.71/1.91 (define @t6062 () (tptp.in @t2833 @t6061)) % 1.71/1.91 (define @t6063 () (or @t2357 @t2835 @t6062)) % 1.71/1.91 (define @t6064 () (or @t2357 false @t2835 @t6062)) % 1.71/1.91 (define @t6065 () (tptp.in @t2833 (tptp.dsetconstr @t2 (lambda @t1068 (or @t2813 (and @t1064 @t2834)))))) % 1.71/1.91 (define @t6066 () (or @t173 @t2357 @t173 @t2835 @t6065)) % 1.71/1.91 (define @t6067 () (or @t2357 @t173 @t2835 @t6065)) % 1.71/1.91 (define @t6068 () (forall @t179 @t6067)) % 1.71/1.91 (define @t6069 () (forall @t2836 @t6068)) % 1.71/1.91 (define @t6070 () (forall (@list @t2 @t4 @t2833 @t173) @t6067)) % 1.71/1.91 (define @t6071 () (@list @t2 @t173 @t4 @t2833)) % 1.71/1.91 (define @t6072 () (and @t1064 (= @t2833 @t289))) % 1.71/1.91 (define @t6073 () (or @t2813 @t6072)) % 1.71/1.91 (define @t6074 () (lambda @t1068 @t6073)) % 1.71/1.91 (define @t6075 () (tptp.dsetconstr @t2 @t6074)) % 1.71/1.91 (define @t6076 () (tptp.in @t2833 @t6075)) % 1.71/1.91 (define @t6077 () (or @t2357 @t173 @t2835 @t6076)) % 1.71/1.91 (define @t6078 () (or @t2835 @t6076)) % 1.71/1.91 (define @t6079 () (or @t2357 @t173 @t6078)) % 1.71/1.91 (define @t6080 () (forall @t6071 @t6079)) % 1.71/1.91 (define @t6081 () (@list @t2833)) % 1.71/1.91 (define @t6082 () (forall @t6081 @t6079)) % 1.71/1.91 (define @t6083 () (forall @t6081 @t6078)) % 1.71/1.91 (define @t6084 () (or @t2357 @t173 @t6083)) % 1.71/1.91 (define @t6085 () (tptp.in @t19 @t5933)) % 1.71/1.91 (define @t6086 () (forall @t70 (or @t2175 @t6085))) % 1.71/1.91 (define @t6087 () (or @t197 @t173 @t6086)) % 1.71/1.91 (define @t6088 () (or @t173 @t6086)) % 1.71/1.91 (define @t6089 () (_ @t20 @t5937)) % 1.71/1.91 (define @t6090 () (or @t3841 @t6089)) % 1.71/1.91 (define @t6091 () (forall @t70 @t6090)) % 1.71/1.91 (define @t6092 () (or @t173 @t6091)) % 1.71/1.91 (define @t6093 () (or @t173 @t6090)) % 1.71/1.91 (define @t6094 () (or @t3841 @t173 @t6089)) % 1.71/1.91 (define @t6095 () (=> @t1064 @t6089)) % 1.71/1.91 (define @t6096 () (=> tptp.iffalseProp1 @t6057)) % 1.71/1.91 (define @t6097 () (= @t882 @t1053)) % 1.71/1.91 (define @t6098 () (or @t3814 @t6097)) % 1.71/1.91 (define @t6099 () (=> tptp.eta2 @t6096)) % 1.71/1.91 (define @t6100 () (or @t2844 @t2843)) % 1.71/1.91 (define @t6101 () (or @t2848 @t6100)) % 1.71/1.91 (define @t6102 () (forall @t2850 @t6101)) % 1.71/1.91 (define @t6103 () (@list @t2841)) % 1.71/1.91 (define @t6104 () (forall @t6103 @t6101)) % 1.71/1.91 (define @t6105 () (forall @t6103 @t6100)) % 1.71/1.91 (define @t6106 () (or @t2848 @t6105)) % 1.71/1.91 (define @t6107 () (forall @t9 (or @t2357 (= @t2845 (tptp.ap @t2 @t1 @t2842 @t4))))) % 1.71/1.91 (define @t6108 () (tptp.lam @t2 @t1 @t3835)) % 1.71/1.91 (define @t6109 () (tptp.ap @t2 @t1 @t6108 @t4)) % 1.71/1.91 (define @t6110 () (= @t2845 @t6109)) % 1.71/1.91 (define @t6111 () (or @t2357 @t6110)) % 1.71/1.91 (define @t6112 () (= @t919 @t1046)) % 1.71/1.91 (define @t6113 () (or @t197 @t6112)) % 1.71/1.91 (define @t6114 () (or @t197 @t921)) % 1.71/1.91 (define @t6115 () (=> tptp.beta2 @t6099)) % 1.71/1.91 (define @t6116 () (=> tptp.lam2lamEq @t6115)) % 1.71/1.91 (define @t6117 () (not @t889)) % 1.71/1.91 (define @t6118 () (or @t6117 @t6097)) % 1.71/1.91 (define @t6119 () (=> tptp.eta1 @t6116)) % 1.71/1.91 (define @t6120 () (=> tptp.beta1 @t6119)) % 1.71/1.91 (define @t6121 () (=> tptp.ap2apEq2 @t6120)) % 1.71/1.91 (define @t6122 () (=> tptp.ap2apEq1 @t6121)) % 1.71/1.91 (define @t6123 () (or @t2859 @t2858 @t2857)) % 1.71/1.91 (define @t6124 () (or @t2194 @t6123)) % 1.71/1.91 (define @t6125 () (forall @t2861 @t6124)) % 1.71/1.91 (define @t6126 () (@list @t2856)) % 1.71/1.91 (define @t6127 () (forall @t6126 @t6124)) % 1.71/1.91 (define @t6128 () (forall @t6126 @t6123)) % 1.71/1.91 (define @t6129 () (@list @t974)) % 1.71/1.91 (define @t6130 () (or @t2194 @t6128)) % 1.71/1.91 (define @t6131 () (tptp.ap @t2 @t1 @t974 @t4)) % 1.71/1.91 (define @t6132 () (forall @t9 (or @t2357 (= @t2837 @t6131)))) % 1.71/1.91 (define @t6133 () (not @t6132)) % 1.71/1.91 (define @t6134 () (tptp.in @t974 @t2168)) % 1.71/1.91 (define @t6135 () (forall @t986 (or (not @t6134) @t6133 @t1021))) % 1.71/1.91 (define @t6136 () (or @t3814 @t6135)) % 1.71/1.91 (define @t6137 () (not @t1029)) % 1.71/1.91 (define @t6138 () (or @t6137 @t6133 @t1021)) % 1.71/1.91 (define @t6139 () (or @t6133 @t1021)) % 1.71/1.91 (define @t6140 () (=> @t6132 @t1021)) % 1.71/1.91 (define @t6141 () (or @t197 @t981)) % 1.71/1.91 (define @t6142 () (=> tptp.funcext2 @t6122)) % 1.71/1.91 (define @t6143 () (or @t2866 @t2865 @t2864)) % 1.71/1.91 (define @t6144 () (or @t2854 @t6143)) % 1.71/1.91 (define @t6145 () (forall @t2868 @t6144)) % 1.71/1.91 (define @t6146 () (@list @t2863)) % 1.71/1.91 (define @t6147 () (forall @t6146 @t6144)) % 1.71/1.91 (define @t6148 () (forall @t6146 @t6143)) % 1.71/1.91 (define @t6149 () (or @t2854 @t6148)) % 1.71/1.91 (define @t6150 () (tptp.func @t2 @t1 @t974)) % 1.71/1.91 (define @t6151 () (not @t6150)) % 1.71/1.91 (define @t6152 () (forall @t986 (or @t6151 @t6133 @t1021))) % 1.71/1.91 (define @t6153 () (or @t6117 @t6152)) % 1.71/1.91 (define @t6154 () (not @t984)) % 1.71/1.91 (define @t6155 () (or @t6154 @t6133 @t1021)) % 1.71/1.91 (define @t6156 () (=> tptp.funcext @t6142)) % 1.71/1.91 (define @t6157 () (or @t2884 @t2883 @t2877 @t2871)) % 1.71/1.91 (define @t6158 () (or @t2886 @t6157)) % 1.71/1.91 (define @t6159 () (forall @t2888 @t6158)) % 1.71/1.91 (define @t6160 () (@list @t2870)) % 1.71/1.91 (define @t6161 () (forall @t6160 @t6158)) % 1.71/1.91 (define @t6162 () (forall @t6160 @t6157)) % 1.71/1.91 (define @t6163 () (or @t2886 @t6162)) % 1.71/1.91 (define @t6164 () (not (tptp.in @t2873 @t994))) % 1.71/1.91 (define @t6165 () (or @t2357 @t2875 @t6164 @t2874)) % 1.71/1.91 (define @t6166 () (forall @t2876 @t6165)) % 1.71/1.91 (define @t6167 () (not @t6166)) % 1.71/1.91 (define @t6168 () (tptp.in @t2879 @t994)) % 1.71/1.91 (define @t6169 () (or @t2357 @t2881 @t2880 @t6168)) % 1.71/1.91 (define @t6170 () (forall @t2882 @t6169)) % 1.71/1.91 (define @t6171 () (not @t6170)) % 1.71/1.91 (define @t6172 () (tptp.breln @t2 @t1 @t994)) % 1.71/1.91 (define @t6173 () (not @t6172)) % 1.71/1.91 (define @t6174 () (forall @t1004 (or @t6173 @t6171 @t6167 @t1009))) % 1.71/1.91 (define @t6175 () (not @t949)) % 1.71/1.91 (define @t6176 () (or @t6175 @t6174)) % 1.71/1.91 (define @t6177 () (not @t1002)) % 1.71/1.91 (define @t6178 () (or @t6177 @t6171 @t6167 @t1009)) % 1.71/1.91 (define @t6179 () (or @t6171 @t6167 @t1009)) % 1.71/1.91 (define @t6180 () (=> @t6166 @t1009)) % 1.71/1.91 (define @t6181 () (=> @t6170 @t6180)) % 1.71/1.91 (define @t6182 () (or @t2875 @t6164 @t2874)) % 1.71/1.91 (define @t6183 () (or @t2357 @t6182)) % 1.71/1.91 (define @t6184 () (forall @t2876 @t6183)) % 1.71/1.91 (define @t6185 () (@list @t2872)) % 1.71/1.91 (define @t6186 () (forall @t6185 @t6183)) % 1.71/1.91 (define @t6187 () (forall @t6185 @t6182)) % 1.71/1.91 (define @t6188 () (or @t2357 @t6187)) % 1.71/1.91 (define @t6189 () (forall @t70 (or @t2401 @t4113 @t4044))) % 1.71/1.91 (define @t6190 () (or @t197 @t6189)) % 1.71/1.91 (define @t6191 () (or @t4584 @t4117 @t942)) % 1.71/1.91 (define @t6192 () (or @t2881 @t2880 @t6168)) % 1.71/1.91 (define @t6193 () (or @t2357 @t6192)) % 1.71/1.91 (define @t6194 () (forall @t2882 @t6193)) % 1.71/1.91 (define @t6195 () (@list @t2878)) % 1.71/1.91 (define @t6196 () (forall @t6195 @t6193)) % 1.71/1.91 (define @t6197 () (forall @t6195 @t6192)) % 1.71/1.91 (define @t6198 () (or @t2357 @t6197)) % 1.71/1.91 (define @t6199 () (forall @t70 (or @t2401 @t4114 @t4043))) % 1.71/1.91 (define @t6200 () (or @t197 @t6199)) % 1.71/1.91 (define @t6201 () (or @t4584 @t4118 @t996)) % 1.71/1.91 (define @t6202 () (=> tptp.eqbreln @t6156)) % 1.71/1.91 (define @t6203 () (or @t2893 @t2892 @t2891)) % 1.71/1.91 (define @t6204 () (or @t2886 @t6203)) % 1.71/1.91 (define @t6205 () (forall @t2895 @t6204)) % 1.71/1.91 (define @t6206 () (@list @t2890)) % 1.71/1.91 (define @t6207 () (forall @t6206 @t6204)) % 1.71/1.91 (define @t6208 () (forall @t6206 @t6203)) % 1.71/1.91 (define @t6209 () (or @t2886 @t6208)) % 1.71/1.91 (define @t6210 () (forall @t1004 (or @t6173 @t6171 @t4482))) % 1.71/1.91 (define @t6211 () (or @t6175 @t6210)) % 1.71/1.91 (define @t6212 () (or @t6177 @t6171 @t995)) % 1.71/1.91 (define @t6213 () (=> @t6170 @t995)) % 1.71/1.91 (define @t6214 () (=> tptp.subbreln @t6202)) % 1.71/1.91 (define @t6215 () (= @t2898 @t2899)) % 1.71/1.91 (define @t6216 () (or @t2194 @t2902 @t2901 @t2900 @t6215)) % 1.71/1.91 (define @t6217 () (or @t2902 @t2901 @t2900 @t6215)) % 1.71/1.91 (define @t6218 () (or @t2194 @t6217)) % 1.71/1.91 (define @t6219 () (forall @t2903 @t6218)) % 1.71/1.91 (define @t6220 () (@list @t2897 @t2899)) % 1.71/1.91 (define @t6221 () (forall @t6220 @t6218)) % 1.71/1.91 (define @t6222 () (forall @t6220 @t6217)) % 1.71/1.91 (define @t6223 () (@var "BOUND_VARIABLE_13503" $$unsorted)) % 1.71/1.91 (define @t6224 () (@list @t4 @t6223)) % 1.71/1.91 (define @t6225 () (or @t2194 @t6222)) % 1.71/1.91 (define @t6226 () (not (tptp.in (tptp.kpair @t4 @t6223) @t882))) % 1.71/1.91 (define @t6227 () (not (tptp.in @t6223 @t1))) % 1.71/1.91 (define @t6228 () (@list @t4 @t6223)) % 1.71/1.91 (define @t6229 () (forall @t6228 (or @t2357 @t6227 @t6226 (= @t2837 @t6223)))) % 1.71/1.91 (define @t6230 () (or @t3814 @t6229)) % 1.71/1.91 (define @t6231 () (= @t6223 @t2837)) % 1.71/1.91 (define @t6232 () (or @t2357 @t6227 @t6226 @t6231)) % 1.71/1.91 (define @t6233 () (or @t6227 @t6226 @t6231)) % 1.71/1.91 (define @t6234 () (or @t2357 @t6233)) % 1.71/1.91 (define @t6235 () (forall @t6228 @t6234)) % 1.71/1.91 (define @t6236 () (@list @t6223)) % 1.71/1.91 (define @t6237 () (forall @t6236 @t6234)) % 1.71/1.91 (define @t6238 () (forall @t6236 @t6233)) % 1.71/1.91 (define @t6239 () (or @t2357 @t6238)) % 1.71/1.91 (define @t6240 () (tptp.in @t2997 @t882)) % 1.71/1.91 (define @t6241 () (forall @t70 (or @t2401 (not @t6240) (= @t19 @t2837)))) % 1.71/1.91 (define @t6242 () (or @t197 @t6241)) % 1.71/1.91 (define @t6243 () (= @t19 @t902)) % 1.71/1.91 (define @t6244 () (not @t883)) % 1.71/1.91 (define @t6245 () (or @t4584 @t6244 @t6243)) % 1.71/1.91 (define @t6246 () (=> @t883 @t6243)) % 1.71/1.91 (define @t6247 () (=> tptp.funcGraphProp4 @t6214)) % 1.71/1.91 (define @t6248 () (or @t2914 @t2913 @t2912 @t2911 @t2910 @t2908)) % 1.71/1.91 (define @t6249 () (or @t2854 @t6248)) % 1.71/1.91 (define @t6250 () (forall @t2916 @t6249)) % 1.71/1.91 (define @t6251 () (@list @t2909 @t2906 @t2905)) % 1.71/1.91 (define @t6252 () (forall @t6251 @t6249)) % 1.71/1.91 (define @t6253 () (forall @t6251 @t6248)) % 1.71/1.91 (define @t6254 () (@var "BOUND_VARIABLE_13597" $$unsorted)) % 1.71/1.91 (define @t6255 () (@var "BOUND_VARIABLE_13595" $$unsorted)) % 1.71/1.91 (define @t6256 () (or @t2854 @t6253)) % 1.71/1.91 (define @t6257 () (tptp.kpair @t6255 @t6254)) % 1.71/1.91 (define @t6258 () (tptp.in @t6257 @t882)) % 1.71/1.91 (define @t6259 () (not (tptp.in @t6257 @t974))) % 1.71/1.91 (define @t6260 () (not (tptp.in @t6254 @t1))) % 1.71/1.91 (define @t6261 () (not (tptp.in @t6255 @t2))) % 1.71/1.91 (define @t6262 () (or @t6151 @t6133 @t6261 @t6260 @t6259 @t6258)) % 1.71/1.91 (define @t6263 () (@list @t974 @t6255 @t6254)) % 1.71/1.91 (define @t6264 () (forall @t6263 @t6262)) % 1.71/1.91 (define @t6265 () (or @t6117 @t6264)) % 1.71/1.91 (define @t6266 () (or @t6261 @t6260 @t6259 @t6258)) % 1.71/1.91 (define @t6267 () (or @t6151 @t6133 @t6266)) % 1.71/1.91 (define @t6268 () (forall @t6263 @t6267)) % 1.71/1.91 (define @t6269 () (@list @t6255 @t6254)) % 1.71/1.91 (define @t6270 () (forall @t6269 @t6267)) % 1.71/1.91 (define @t6271 () (forall @t6269 @t6266)) % 1.71/1.91 (define @t6272 () (@var "BOUND_VARIABLE_13569" $$unsorted)) % 1.71/1.91 (define @t6273 () (or @t6151 @t6133 @t6271)) % 1.71/1.91 (define @t6274 () (tptp.kpair @t4 @t6272)) % 1.71/1.91 (define @t6275 () (tptp.in @t6274 @t882)) % 1.71/1.91 (define @t6276 () (not (tptp.in @t6274 @t974))) % 1.71/1.91 (define @t6277 () (not (tptp.in @t6272 @t1))) % 1.71/1.91 (define @t6278 () (or @t2357 @t6277 @t6276 @t6275)) % 1.71/1.91 (define @t6279 () (@list @t4 @t6272)) % 1.71/1.91 (define @t6280 () (forall @t6279 @t6278)) % 1.71/1.91 (define @t6281 () (or @t6154 @t6133 @t6280)) % 1.71/1.91 (define @t6282 () (=> @t6132 @t6280)) % 1.71/1.91 (define @t6283 () (or @t6277 @t6276 @t6275)) % 1.71/1.91 (define @t6284 () (or @t2357 @t6283)) % 1.71/1.91 (define @t6285 () (forall @t6279 @t6284)) % 1.71/1.91 (define @t6286 () (@list @t6272)) % 1.71/1.91 (define @t6287 () (forall @t6286 @t6284)) % 1.71/1.91 (define @t6288 () (forall @t6286 @t6283)) % 1.71/1.91 (define @t6289 () (or @t2357 @t6288)) % 1.71/1.91 (define @t6290 () (tptp.in @t2997 @t974)) % 1.71/1.91 (define @t6291 () (forall @t70 (or @t2401 (not @t6290) @t6240))) % 1.71/1.91 (define @t6292 () (or @t197 @t6291)) % 1.71/1.91 (define @t6293 () (not @t975)) % 1.71/1.91 (define @t6294 () (or @t4584 @t6293 @t883)) % 1.71/1.91 (define @t6295 () (=> tptp.funcextLem @t6247)) % 1.71/1.91 (define @t6296 () (= @t2919 @t2920)) % 1.71/1.91 (define @t6297 () (or @t2854 @t2923 @t2922 @t2921 @t6296)) % 1.71/1.91 (define @t6298 () (or @t2923 @t2922 @t2921 @t6296)) % 1.71/1.91 (define @t6299 () (or @t2854 @t6298)) % 1.71/1.91 (define @t6300 () (forall @t2924 @t6299)) % 1.71/1.91 (define @t6301 () (@list @t2918 @t2920)) % 1.71/1.91 (define @t6302 () (forall @t6301 @t6299)) % 1.71/1.91 (define @t6303 () (forall @t6301 @t6298)) % 1.71/1.91 (define @t6304 () (or @t2854 @t6303)) % 1.71/1.91 (define @t6305 () (or @t6117 @t6229)) % 1.71/1.91 (define @t6306 () (=> tptp.funcGraphProp2 @t6295)) % 1.71/1.91 (define @t6307 () (or @t2928 @t2927)) % 1.71/1.91 (define @t6308 () (or @t2194 @t6307)) % 1.71/1.91 (define @t6309 () (forall @t2930 @t6308)) % 1.71/1.91 (define @t6310 () (@list @t2926)) % 1.71/1.91 (define @t6311 () (forall @t6310 @t6308)) % 1.71/1.91 (define @t6312 () (forall @t6310 @t6307)) % 1.71/1.91 (define @t6313 () (or @t2194 @t6312)) % 1.71/1.91 (define @t6314 () (tptp.kpair @t4 @t2837)) % 1.71/1.91 (define @t6315 () (tptp.in @t6314 @t882)) % 1.71/1.91 (define @t6316 () (forall @t9 (or @t2357 @t6315))) % 1.71/1.91 (define @t6317 () (or @t3814 @t6316)) % 1.71/1.91 (define @t6318 () (or @t197 @t958)) % 1.71/1.91 (define @t6319 () (=> tptp.funcGraphProp3 @t6306)) % 1.71/1.91 (define @t6320 () (or @t2934 @t2933)) % 1.71/1.91 (define @t6321 () (or @t2854 @t6320)) % 1.71/1.91 (define @t6322 () (forall @t2936 @t6321)) % 1.71/1.91 (define @t6323 () (@list @t2932)) % 1.71/1.91 (define @t6324 () (forall @t6323 @t6321)) % 1.71/1.91 (define @t6325 () (forall @t6323 @t6320)) % 1.71/1.91 (define @t6326 () (or @t2854 @t6325)) % 1.71/1.91 (define @t6327 () (or @t6117 @t6316)) % 1.71/1.91 (define @t6328 () (=> tptp.funcGraphProp1 @t6319)) % 1.71/1.91 (define @t6329 () (or @t2944 @t2943 @t2942 @t2941 @t2940)) % 1.71/1.91 (define @t6330 () (or @t2946 @t6329)) % 1.71/1.91 (define @t6331 () (forall @t2948 @t6330)) % 1.71/1.91 (define @t6332 () (@list @t2939 @t2938)) % 1.71/1.91 (define @t6333 () (forall @t6332 @t6330)) % 1.71/1.91 (define @t6334 () (forall @t6332 @t6329)) % 1.71/1.91 (define @t6335 () (or @t2946 @t6334)) % 1.71/1.91 (define @t6336 () (lambda @t9 @t3106)) % 1.71/1.91 (define @t6337 () (tptp.ex1 @t2 @t6336)) % 1.71/1.91 (define @t6338 () (not @t6337)) % 1.71/1.91 (define @t6339 () (or @t6338 @t3110)) % 1.71/1.91 (define @t6340 () (not @t725)) % 1.71/1.91 (define @t6341 () (or @t6340 @t3110)) % 1.71/1.91 (define @t6342 () (or @t3105 @t3104 @t3103)) % 1.71/1.91 (define @t6343 () (or @t2357 @t3107 @t6342)) % 1.71/1.91 (define @t6344 () (forall @t3109 @t6343)) % 1.71/1.91 (define @t6345 () (@list @t3102)) % 1.71/1.91 (define @t6346 () (forall @t6345 @t6343)) % 1.71/1.91 (define @t6347 () (forall @t6345 @t6342)) % 1.71/1.91 (define @t6348 () (or @t2357 @t3107 @t6347)) % 1.71/1.91 (define @t6349 () (or @t197 @t317 @t3117)) % 1.71/1.91 (define @t6350 () (or @t317 @t3117)) % 1.71/1.91 (define @t6351 () (or @t3841 @t3895 @t129)) % 1.71/1.91 (define @t6352 () (forall @t70 @t6351)) % 1.71/1.91 (define @t6353 () (or @t317 @t6352)) % 1.71/1.91 (define @t6354 () (or @t317 @t6351)) % 1.71/1.91 (define @t6355 () (or @t3841 @t317 @t3895 @t129)) % 1.71/1.91 (define @t6356 () (or @t317 @t3895 @t129)) % 1.71/1.91 (define @t6357 () (=> tptp.ex1E2 @t6328)) % 1.71/1.91 (define @t6358 () (or @t2959 @t2953 @t2952)) % 1.71/1.91 (define @t6359 () (or @t2886 @t6358)) % 1.71/1.91 (define @t6360 () (forall @t2961 @t6359)) % 1.71/1.91 (define @t6361 () (@list @t2951 @t2950)) % 1.71/1.91 (define @t6362 () (forall @t6361 @t6359)) % 1.71/1.91 (define @t6363 () (forall @t6361 @t6358)) % 1.71/1.91 (define @t6364 () (@var "BOUND_VARIABLE_13362" $$unsorted)) % 1.71/1.91 (define @t6365 () (or @t2886 @t6363)) % 1.71/1.91 (define @t6366 () (_ @t143 @t6364)) % 1.71/1.91 (define @t6367 () (not (tptp.in @t6364 @t938))) % 1.71/1.91 (define @t6368 () (_ @t143 @t2955)) % 1.71/1.91 (define @t6369 () (or @t2357 @t2957 @t2956 @t6368)) % 1.71/1.91 (define @t6370 () (forall @t2958 @t6369)) % 1.71/1.91 (define @t6371 () (not @t6370)) % 1.71/1.91 (define @t6372 () (or @t6371 @t6367 @t6366)) % 1.71/1.91 (define @t6373 () (@list @t143 @t6364)) % 1.71/1.91 (define @t6374 () (forall @t6373 @t6372)) % 1.71/1.91 (define @t6375 () (or @t6175 @t6374)) % 1.71/1.91 (define @t6376 () (or @t6367 @t6366)) % 1.71/1.91 (define @t6377 () (or @t6371 @t6376)) % 1.71/1.91 (define @t6378 () (forall @t6373 @t6377)) % 1.71/1.91 (define @t6379 () (@list @t6364)) % 1.71/1.91 (define @t6380 () (forall @t6379 @t6377)) % 1.71/1.91 (define @t6381 () (forall @t6379 @t6376)) % 1.71/1.91 (define @t6382 () (or @t6371 @t6381)) % 1.71/1.91 (define @t6383 () (or @t2957 @t2956 @t6368)) % 1.71/1.91 (define @t6384 () (or @t2357 @t6383)) % 1.71/1.91 (define @t6385 () (forall @t2958 @t6384)) % 1.71/1.91 (define @t6386 () (@list @t2954)) % 1.71/1.91 (define @t6387 () (forall @t6386 @t6384)) % 1.71/1.91 (define @t6388 () (forall @t6386 @t6383)) % 1.71/1.91 (define @t6389 () (or @t2357 @t6388)) % 1.71/1.91 (define @t6390 () (forall @t70 (or @t2401 @t4114 @t4524))) % 1.71/1.91 (define @t6391 () (or @t197 @t6390)) % 1.71/1.91 (define @t6392 () (or @t4584 @t4118 @t941)) % 1.71/1.91 (define @t6393 () (=> tptp.brelnall2 @t6357)) % 1.71/1.91 (define @t6394 () (=> tptp.brelnall1 @t6393)) % 1.71/1.91 (define @t6395 () (lambda @t9 @t2845)) % 1.71/1.91 (define @t6396 () (tptp.lam @t2 @t1 @t6395)) % 1.71/1.91 (define @t6397 () (tptp.in @t6396 @t2168)) % 1.71/1.91 (define @t6398 () (or @t2848 @t6397)) % 1.71/1.91 (define @t6399 () (or @t2848 @t934)) % 1.71/1.91 (define @t6400 () (=> tptp.lam2p @t6394)) % 1.71/1.91 (define @t6401 () (tptp.func @t2 @t1 @t6396)) % 1.71/1.91 (define @t6402 () (or @t2848 @t6401)) % 1.71/1.91 (define @t6403 () (or @t2848 @t930)) % 1.71/1.91 (define @t6404 () (=> tptp.lamp @t6400)) % 1.71/1.91 (define @t6405 () (= @t19 @t919)) % 1.71/1.91 (define @t6406 () (lambda @t135 @t6405)) % 1.71/1.91 (define @t6407 () (_ @t851 @t6406)) % 1.71/1.91 (define @t6408 () (_ @t888 @t6407)) % 1.71/1.91 (define @t6409 () (or @t2848 @t6408)) % 1.71/1.91 (define @t6410 () (=> tptp.lamProp @t6404)) % 1.71/1.91 (define @t6411 () (or @t6117 @t910)) % 1.71/1.91 (define @t6412 () (=> tptp.funcinfuncset @t6410)) % 1.71/1.91 (define @t6413 () (or @t2973 @t2972)) % 1.71/1.91 (define @t6414 () (or @t2194 @t6413)) % 1.71/1.91 (define @t6415 () (forall @t2975 @t6414)) % 1.71/1.91 (define @t6416 () (@list @t2971)) % 1.71/1.91 (define @t6417 () (forall @t6416 @t6414)) % 1.71/1.91 (define @t6418 () (forall @t6416 @t6413)) % 1.71/1.91 (define @t6419 () (or @t2194 @t6418)) % 1.71/1.91 (define @t6420 () (tptp.in @t2837 @t1)) % 1.71/1.91 (define @t6421 () (forall @t9 (or @t2357 @t6420))) % 1.71/1.91 (define @t6422 () (or @t3814 @t6421)) % 1.71/1.91 (define @t6423 () (or @t197 @t903)) % 1.71/1.91 (define @t6424 () (=> tptp.ap2p @t6412)) % 1.71/1.91 (define @t6425 () (or @t3814 @t889)) % 1.71/1.91 (define @t6426 () (=> tptp.infuncsetfunc @t6424)) % 1.71/1.91 (define @t6427 () (or @t2980 @t2979)) % 1.71/1.91 (define @t6428 () (or @t2854 @t6427)) % 1.71/1.91 (define @t6429 () (forall @t2982 @t6428)) % 1.71/1.91 (define @t6430 () (@list @t2978)) % 1.71/1.91 (define @t6431 () (forall @t6430 @t6428)) % 1.71/1.91 (define @t6432 () (forall @t6430 @t6427)) % 1.71/1.91 (define @t6433 () (or @t2854 @t6432)) % 1.71/1.91 (define @t6434 () (or @t6117 @t6421)) % 1.71/1.91 (define @t6435 () (=> tptp.app @t6426)) % 1.71/1.91 (define @t6436 () (or @t2986 @t2985)) % 1.71/1.91 (define @t6437 () (or @t2854 @t6436)) % 1.71/1.91 (define @t6438 () (forall @t2988 @t6437)) % 1.71/1.91 (define @t6439 () (@list @t2984)) % 1.71/1.91 (define @t6440 () (forall @t6439 @t6437)) % 1.71/1.91 (define @t6441 () (forall @t6439 @t6436)) % 1.71/1.91 (define @t6442 () (or @t2854 @t6441)) % 1.71/1.91 (define @t6443 () (lambda @t70 @t6240)) % 1.71/1.91 (define @t6444 () (tptp.dsetconstr @t1 @t6443)) % 1.71/1.91 (define @t6445 () (tptp.setunion @t6444)) % 1.71/1.91 (define @t6446 () (tptp.in @t6445 @t1)) % 1.71/1.91 (define @t6447 () (forall @t9 (or @t2357 @t6446))) % 1.71/1.91 (define @t6448 () (or @t6117 @t6447)) % 1.71/1.91 (define @t6449 () (or @t197 @t895)) % 1.71/1.91 (define @t6450 () (=> tptp.apProp @t6435)) % 1.71/1.91 (define @t6451 () (or @t2992 @t2991)) % 1.71/1.91 (define @t6452 () (or @t2854 @t6451)) % 1.71/1.91 (define @t6453 () (forall @t2994 @t6452)) % 1.71/1.91 (define @t6454 () (@list @t2990)) % 1.71/1.91 (define @t6455 () (forall @t6454 @t6452)) % 1.71/1.91 (define @t6456 () (forall @t6454 @t6451)) % 1.71/1.91 (define @t6457 () (or @t2854 @t6456)) % 1.71/1.91 (define @t6458 () (tptp.singleton @t6444)) % 1.71/1.91 (define @t6459 () (forall @t9 (or @t2357 @t6458))) % 1.71/1.91 (define @t6460 () (or @t6117 @t6459)) % 1.71/1.91 (define @t6461 () (or @t197 @t886)) % 1.71/1.91 (define @t6462 () (=> tptp.funcImageSingleton @t6450)) % 1.71/1.91 (define @t6463 () (_ @t67 @t289 @t383)) % 1.71/1.91 (define @t6464 () (lambda @t388 @t6463)) % 1.71/1.91 (define @t6465 () (tptp.dpsetconstr @t2 @t1 @t6464)) % 1.71/1.91 (define @t6466 () (tptp.in @t2997 @t6465)) % 1.71/1.91 (define @t6467 () (not @t6466)) % 1.71/1.91 (define @t6468 () (or @t6467 @t2398)) % 1.71/1.91 (define @t6469 () (not @t853)) % 1.71/1.91 (define @t6470 () (or @t6469 @t76)) % 1.71/1.91 (define @t6471 () (=> tptp.dpsetconstrER @t6462)) % 1.71/1.91 (define @t6472 () (or @t6467 @t2400)) % 1.71/1.91 (define @t6473 () (or @t6469 @t354)) % 1.71/1.91 (define @t6474 () (=> tptp.dpsetconstrEL2 @t6471)) % 1.71/1.91 (define @t6475 () (or @t6467 @t2356)) % 1.71/1.91 (define @t6476 () (or @t6469 @t7)) % 1.71/1.91 (define @t6477 () (=> tptp.dpsetconstrEL1 @t6474)) % 1.71/1.91 (define @t6478 () (or @t3006 @t3005 @t3004)) % 1.71/1.91 (define @t6479 () (or @t2357 @t6478)) % 1.71/1.91 (define @t6480 () (forall @t3008 @t6479)) % 1.71/1.91 (define @t6481 () (@list @t3003)) % 1.71/1.91 (define @t6482 () (forall @t6481 @t6479)) % 1.71/1.91 (define @t6483 () (forall @t6481 @t6478)) % 1.71/1.91 (define @t6484 () (or @t2357 @t6483)) % 1.71/1.91 (define @t6485 () (forall @t70 (or @t2401 @t2999 @t2398))) % 1.71/1.91 (define @t6486 () (or @t197 @t6485)) % 1.71/1.91 (define @t6487 () (or @t2401 @t6467 @t2398)) % 1.71/1.91 (define @t6488 () (or @t4584 @t6469 @t76)) % 1.71/1.91 (define @t6489 () (=> tptp.dpsetconstrERa @t6477)) % 1.71/1.91 (define @t6490 () (tptp.dpsetconstr @t2 @t1 @t4530)) % 1.71/1.91 (define @t6491 () (tptp.breln @t2 @t1 @t6490)) % 1.71/1.91 (define @t6492 () (=> tptp.setOfPairsIsBReln @t6489)) % 1.71/1.91 (define @t6493 () (tptp.subset @t6490 @t3011)) % 1.71/1.91 (define @t6494 () (=> tptp.dpsetconstrSub @t6492)) % 1.71/1.91 (define @t6495 () (or @t3016 @t3015 @t3014)) % 1.71/1.91 (define @t6496 () (or @t2357 @t6495)) % 1.71/1.91 (define @t6497 () (forall @t3018 @t6496)) % 1.71/1.91 (define @t6498 () (@list @t3013)) % 1.71/1.91 (define @t6499 () (forall @t6498 @t6496)) % 1.71/1.91 (define @t6500 () (forall @t6498 @t6495)) % 1.71/1.91 (define @t6501 () (or @t2357 @t6500)) % 1.71/1.91 (define @t6502 () (forall @t70 (or @t2401 @t2399 @t2998))) % 1.71/1.91 (define @t6503 () (or @t197 @t6502)) % 1.71/1.91 (define @t6504 () (or @t2401 @t2399 @t6466)) % 1.71/1.91 (define @t6505 () (or @t4584 @t4583 @t853)) % 1.71/1.91 (define @t6506 () (=> tptp.dpsetconstrI @t6494)) % 1.71/1.91 (define @t6507 () (_ tptp.kpair @t3021)) % 1.71/1.91 (define @t6508 () (= @t383 @t817)) % 1.71/1.91 (define @t6509 () (not @t687)) % 1.71/1.91 (define @t6510 () (or @t6509 @t6508)) % 1.71/1.91 (define @t6511 () (=> tptp.cartprodpairsurjEq @t6506)) % 1.71/1.91 (define @t6512 () (or @t3029 @t3028)) % 1.71/1.91 (define @t6513 () (or @t2357 @t6512)) % 1.71/1.91 (define @t6514 () (forall @t3031 @t6513)) % 1.71/1.91 (define @t6515 () (@list @t3027)) % 1.71/1.91 (define @t6516 () (forall @t6515 @t6513)) % 1.71/1.91 (define @t6517 () (forall @t6515 @t6512)) % 1.71/1.91 (define @t6518 () (or @t2357 @t6517)) % 1.71/1.91 (define @t6519 () (forall @t70 (or @t2401 @t3049))) % 1.71/1.91 (define @t6520 () (or @t197 @t6519)) % 1.71/1.91 (define @t6521 () (= @t19 @t812)) % 1.71/1.91 (define @t6522 () (or @t4584 @t6521)) % 1.71/1.91 (define @t6523 () (=> tptp.cartprodsndpairEq @t6511)) % 1.71/1.91 (define @t6524 () (or @t3035 @t3034)) % 1.71/1.91 (define @t6525 () (or @t2357 @t6524)) % 1.71/1.91 (define @t6526 () (forall @t3037 @t6525)) % 1.71/1.91 (define @t6527 () (@list @t3033)) % 1.71/1.91 (define @t6528 () (forall @t6527 @t6525)) % 1.71/1.91 (define @t6529 () (forall @t6527 @t6524)) % 1.71/1.91 (define @t6530 () (or @t2357 @t6529)) % 1.71/1.91 (define @t6531 () (forall @t70 (or @t2401 @t3087))) % 1.71/1.91 (define @t6532 () (or @t197 @t6531)) % 1.71/1.91 (define @t6533 () (= @t4 @t765)) % 1.71/1.91 (define @t6534 () (or @t4584 @t6533)) % 1.71/1.91 (define @t6535 () (=> tptp.cartprodfstpairEq @t6523)) % 1.71/1.91 (define @t6536 () (=> tptp.cartprodmempaircEq @t6535)) % 1.71/1.91 (define @t6537 () (not @t676)) % 1.71/1.91 (define @t6538 () (or @t6537 @t354)) % 1.71/1.91 (define @t6539 () (=> tptp.cartprodpairmemER @t6536)) % 1.71/1.91 (define @t6540 () (or @t6537 @t7)) % 1.71/1.91 (define @t6541 () (=> tptp.cartprodpairmemEL @t6539)) % 1.71/1.91 (define @t6542 () (or @t6509 @t822)) % 1.71/1.91 (define @t6543 () (=> tptp.cartprodsndin @t6541)) % 1.71/1.91 (define @t6544 () (not @t692)) % 1.71/1.91 (define @t6545 () (or @t6544 @t6508)) % 1.71/1.91 (define @t6546 () (=> tptp.kpairsurjEq @t6543)) % 1.71/1.91 (define @t6547 () (=> tptp.ksndpairEq @t6546)) % 1.71/1.91 (define @t6548 () (_ tptp.dsetconstr @t3054)) % 1.71/1.91 (define @t6549 () (or @t6544 @t809)) % 1.71/1.91 (define @t6550 () (=> tptp.ksndsingleton @t6547)) % 1.71/1.91 (define @t6551 () (not @t783)) % 1.71/1.91 (define @t6552 () (or @t6551 @t793)) % 1.71/1.91 (define @t6553 () (=> tptp.setukpairinjR @t6550)) % 1.71/1.91 (define @t6554 () (_ tptp.setadjoin @t2817)) % 1.71/1.91 (define @t6555 () (not @t777)) % 1.71/1.91 (define @t6556 () (or @t6555 @t793)) % 1.71/1.91 (define @t6557 () (=> tptp.setukpairinjR2 @t6553)) % 1.71/1.91 (define @t6558 () (not @t797)) % 1.71/1.91 (define @t6559 () (or @t6558 @t129)) % 1.71/1.91 (define @t6560 () (=> tptp.upairequniteq @t6557)) % 1.71/1.91 (define @t6561 () (not (= @t383 @t383))) % 1.71/1.91 (define @t6562 () (or @t3073 @t6561 @t793)) % 1.71/1.91 (define @t6563 () (not @t387)) % 1.71/1.91 (define @t6564 () (or @t6563 @t3070 @t6563 @t793)) % 1.71/1.91 (define @t6565 () (or @t3070 @t6563 @t793)) % 1.71/1.91 (define @t6566 () (forall @t1068 @t6565)) % 1.71/1.91 (define @t6567 () (forall @t3075 @t6566)) % 1.71/1.91 (define @t6568 () (forall (@list @t4 @t19 @t383 @t289) @t6565)) % 1.71/1.91 (define @t6569 () (or @t6555 @t6563 @t793)) % 1.71/1.91 (define @t6570 () (=> tptp.setukpairinjR1 @t6560)) % 1.71/1.91 (define @t6571 () (not (= @t19 @t19))) % 1.71/1.91 (define @t6572 () (or @t6571 @t3078)) % 1.71/1.91 (define @t6573 () (tptp.setadjoin @t2817 tptp.emptyset)) % 1.71/1.91 (define @t6574 () (= @t3069 @t6573)) % 1.71/1.91 (define @t6575 () (or @t282 @t282 @t6574)) % 1.71/1.91 (define @t6576 () (or @t282 @t6574)) % 1.71/1.91 (define @t6577 () (forall @t9 @t6576)) % 1.71/1.91 (define @t6578 () (forall @t70 @t6577)) % 1.71/1.91 (define @t6579 () (@list @t19 @t4)) % 1.71/1.91 (define @t6580 () (forall @t6579 @t6576)) % 1.71/1.91 (define @t6581 () (or @t282 @t790)) % 1.71/1.91 (define @t6582 () (=> tptp.setukpairinjR12 @t6570)) % 1.71/1.91 (define @t6583 () (or @t6571 @t3080)) % 1.71/1.91 (define @t6584 () (= @t2817 @t3067)) % 1.71/1.91 (define @t6585 () (or @t282 @t282 @t6584)) % 1.71/1.91 (define @t6586 () (or @t282 @t6584)) % 1.71/1.91 (define @t6587 () (forall @t9 @t6586)) % 1.71/1.91 (define @t6588 () (forall @t70 @t6587)) % 1.71/1.91 (define @t6589 () (forall @t6579 @t6586)) % 1.71/1.91 (define @t6590 () (= @t279 @t293)) % 1.71/1.91 (define @t6591 () (or @t282 @t6590)) % 1.71/1.91 (define @t6592 () (=> tptp.setukpairinjR11 @t6582)) % 1.71/1.91 (define @t6593 () (or @t6551 @t745)) % 1.71/1.91 (define @t6594 () (=> tptp.setukpairinjL @t6592)) % 1.71/1.91 (define @t6595 () (or @t6555 @t745)) % 1.71/1.91 (define @t6596 () (=> tptp.setukpairinjL2 @t6594)) % 1.71/1.91 (define @t6597 () (or @t6509 @t770)) % 1.71/1.91 (define @t6598 () (=> tptp.cartprodfstin @t6596)) % 1.71/1.91 (define @t6599 () (=> tptp.kfstpairEq @t6598)) % 1.71/1.91 (define @t6600 () (or @t5902 @t761)) % 1.71/1.91 (define @t6601 () (=> tptp.theprop @t6599)) % 1.71/1.91 (define @t6602 () (_ tptp.in @t2817)) % 1.71/1.91 (define @t6603 () (or @t6544 @t756)) % 1.71/1.91 (define @t6604 () (=> tptp.kfstsingleton @t6601)) % 1.71/1.91 (define @t6605 () (not @t748)) % 1.71/1.91 (define @t6606 () (or @t6605 @t745)) % 1.71/1.91 (define @t6607 () (=> tptp.setukpairinjL1 @t6604)) % 1.71/1.91 (define @t6608 () (= @t275 @t279)) % 1.71/1.91 (define @t6609 () (not @t6608)) % 1.71/1.91 (define @t6610 () (or @t6609 @t129)) % 1.71/1.91 (define @t6611 () (=> tptp.singletonsuniq @t6607)) % 1.71/1.91 (define @t6612 () (or @t3101 @t3100)) % 1.71/1.91 (define @t6613 () (or @t3111 @t6612 @t2945)) % 1.71/1.91 (define @t6614 () (forall @t3113 @t6613)) % 1.71/1.91 (define @t6615 () (@list @t3099)) % 1.71/1.91 (define @t6616 () (forall @t6615 @t6613)) % 1.71/1.91 (define @t6617 () (forall @t6615 @t6612)) % 1.71/1.91 (define @t6618 () (or @t3111 @t6617 @t2945)) % 1.71/1.91 (define @t6619 () (or @t3111 @t3120 @t6337)) % 1.71/1.91 (define @t6620 () (or @t3111 @t3120 @t725)) % 1.71/1.91 (define @t6621 () (not @t3121)) % 1.71/1.91 (define @t6622 () (=> @t3121 @t725)) % 1.71/1.91 (define @t6623 () (or @t197 @t317)) % 1.71/1.91 (define @t6624 () (forall @t9 (not @t308))) % 1.71/1.91 (define @t6625 () (not @t6624)) % 1.71/1.91 (define @t6626 () (=> tptp.ex1I2 @t6611)) % 1.71/1.91 (define @t6627 () (lambda @t70 @t3115)) % 1.71/1.91 (define @t6628 () (tptp.ex1 @t2 @t6627)) % 1.71/1.91 (define @t6629 () (or @t2357 @t3107 @t3118 @t6628)) % 1.71/1.91 (define @t6630 () (or @t197 @t317 @t3118 @t729)) % 1.71/1.91 (define @t6631 () (or @t317 @t3118 @t729)) % 1.71/1.91 (define @t6632 () (=> @t3117 @t729)) % 1.71/1.91 (define @t6633 () (=> @t144 @t6632)) % 1.71/1.91 (define @t6634 () (=> tptp.ex1I @t6626)) % 1.71/1.91 (define @t6635 () (or @t6338 @t3121)) % 1.71/1.91 (define @t6636 () (or @t6340 @t3121)) % 1.71/1.91 (define @t6637 () (=> tptp.ex1E1 @t6634)) % 1.71/1.91 (define @t6638 () (or @t3125 @t3124)) % 1.71/1.91 (define @t6639 () (or @t3111 @t6638 @t3127)) % 1.71/1.91 (define @t6640 () (forall @t3129 @t6639)) % 1.71/1.91 (define @t6641 () (@list @t3123)) % 1.71/1.91 (define @t6642 () (forall @t6641 @t6639)) % 1.71/1.91 (define @t6643 () (forall @t6641 @t6638)) % 1.71/1.91 (define @t6644 () (or @t3111 @t6643 @t3127)) % 1.71/1.91 (define @t6645 () (tptp.dsetconstr @t2 @t6336)) % 1.71/1.91 (define @t6646 () (tptp.singleton @t6645)) % 1.71/1.91 (define @t6647 () (or @t3111 @t3120 @t6646)) % 1.71/1.91 (define @t6648 () (or @t3111 @t3120 @t716)) % 1.71/1.91 (define @t6649 () (=> @t3121 @t716)) % 1.71/1.91 (define @t6650 () (=> tptp.singletonprop @t6637)) % 1.71/1.91 (define @t6651 () (= @t4 @t713)) % 1.71/1.91 (define @t6652 () (=> tptp.setunionsingleton @t6650)) % 1.71/1.91 (define @t6653 () (=> tptp.setunionsingleton2 @t6652)) % 1.71/1.91 (define @t6654 () (=> tptp.setunionsingleton1 @t6653)) % 1.71/1.91 (define @t6655 () (not @t44)) % 1.71/1.91 (define @t6656 () (or @t6655 @t3140)) % 1.71/1.91 (define @t6657 () (not @t698)) % 1.71/1.91 (define @t6658 () (or @t6657 @t1218)) % 1.71/1.91 (define @t6659 () (forall @t700 (not @t699))) % 1.71/1.91 (define @t6660 () (not @t6659)) % 1.71/1.91 (define @t6661 () (=> tptp.setunionE2 @t6654)) % 1.71/1.91 (define @t6662 () (or @t6509 @t692)) % 1.71/1.91 (define @t6663 () (=> tptp.cartprodmempair @t6661)) % 1.71/1.91 (define @t6664 () (or @t6509 @t3151)) % 1.71/1.91 (define @t6665 () (or @t3148 @t3147)) % 1.71/1.91 (define @t6666 () (or @t2357 @t6665)) % 1.71/1.91 (define @t6667 () (forall @t3150 @t6666)) % 1.71/1.91 (define @t6668 () (@list @t3146)) % 1.71/1.91 (define @t6669 () (forall @t6668 @t6666)) % 1.71/1.91 (define @t6670 () (forall @t6668 @t6665)) % 1.71/1.91 (define @t6671 () (or @t2357 @t6670)) % 1.71/1.91 (define @t6672 () (forall @t70 (or @t2401 (not (= @t383 @t2997))))) % 1.71/1.91 (define @t6673 () (or @t197 @t6672)) % 1.71/1.91 (define @t6674 () (not @t6672)) % 1.71/1.91 (define @t6675 () (and @t7 @t6674)) % 1.71/1.91 (define @t6676 () (forall @t9 (not @t6675))) % 1.71/1.91 (define @t6677 () (not @t6676)) % 1.71/1.91 (define @t6678 () (not @t681)) % 1.71/1.91 (define @t6679 () (or @t4584 @t6678)) % 1.71/1.91 (define @t6680 () (forall @t70 (not @t682))) % 1.71/1.91 (define @t6681 () (not @t6680)) % 1.71/1.91 (define @t6682 () (=> tptp.cartprodmempair1 @t6663)) % 1.71/1.91 (define @t6683 () (or @t3155 @t3154)) % 1.71/1.91 (define @t6684 () (or @t2357 @t6683)) % 1.71/1.91 (define @t6685 () (forall @t3157 @t6684)) % 1.71/1.91 (define @t6686 () (@list @t3153)) % 1.71/1.91 (define @t6687 () (forall @t6686 @t6684)) % 1.71/1.91 (define @t6688 () (forall @t6686 @t6683)) % 1.71/1.91 (define @t6689 () (or @t2357 @t6688)) % 1.71/1.91 (define @t6690 () (forall @t70 (or @t2401 @t3039))) % 1.71/1.91 (define @t6691 () (or @t197 @t6690)) % 1.71/1.91 (define @t6692 () (or @t4584 @t676)) % 1.71/1.91 (define @t6693 () (=> tptp.cartprodpairin @t6682)) % 1.71/1.91 (define @t6694 () (or @t3164 @t3163)) % 1.71/1.91 (define @t6695 () (or @t2357 @t6694)) % 1.71/1.91 (define @t6696 () (forall @t3166 @t6695)) % 1.71/1.91 (define @t6697 () (@list @t3162)) % 1.71/1.91 (define @t6698 () (forall @t6697 @t6695)) % 1.71/1.91 (define @t6699 () (forall @t6697 @t6694)) % 1.71/1.91 (define @t6700 () (or @t2357 @t6699)) % 1.71/1.91 (define @t6701 () (tptp.in @t2997 @t3161)) % 1.71/1.91 (define @t6702 () (forall @t70 (or @t2401 @t6701))) % 1.71/1.91 (define @t6703 () (or @t197 @t6702)) % 1.71/1.91 (define @t6704 () (or @t4584 @t670)) % 1.71/1.91 (define @t6705 () (=> tptp.ubforcartprodlem3 @t6693)) % 1.71/1.91 (define @t6706 () (or @t3170 @t3169)) % 1.71/1.91 (define @t6707 () (or @t2357 @t6706)) % 1.71/1.91 (define @t6708 () (forall @t3172 @t6707)) % 1.71/1.91 (define @t6709 () (@list @t3168)) % 1.71/1.91 (define @t6710 () (forall @t6709 @t6707)) % 1.71/1.91 (define @t6711 () (forall @t6709 @t6706)) % 1.71/1.91 (define @t6712 () (or @t2357 @t6711)) % 1.71/1.91 (define @t6713 () (tptp.in @t3069 @t3161)) % 1.71/1.91 (define @t6714 () (forall @t70 (or @t2401 @t6713))) % 1.71/1.91 (define @t6715 () (or @t197 @t6714)) % 1.71/1.91 (define @t6716 () (or @t4584 @t664)) % 1.71/1.91 (define @t6717 () (=> tptp.ubforcartprodlem2 @t6705)) % 1.71/1.91 (define @t6718 () (or @t3176 @t3175)) % 1.71/1.91 (define @t6719 () (or @t2357 @t6718)) % 1.71/1.91 (define @t6720 () (forall @t3178 @t6719)) % 1.71/1.91 (define @t6721 () (@list @t3174)) % 1.71/1.91 (define @t6722 () (forall @t6721 @t6719)) % 1.71/1.91 (define @t6723 () (forall @t6721 @t6718)) % 1.71/1.91 (define @t6724 () (or @t2357 @t6723)) % 1.71/1.91 (define @t6725 () (tptp.subset @t3069 @t3160)) % 1.71/1.91 (define @t6726 () (forall @t70 (or @t2401 @t6725))) % 1.71/1.91 (define @t6727 () (or @t197 @t6726)) % 1.71/1.91 (define @t6728 () (or @t4584 @t658)) % 1.71/1.91 (define @t6729 () (=> tptp.ubforcartprodlem1 @t6717)) % 1.71/1.91 (define @t6730 () (or @t3182 @t3181)) % 1.71/1.91 (define @t6731 () (or @t2357 @t6730)) % 1.71/1.91 (define @t6732 () (forall @t3184 @t6731)) % 1.71/1.91 (define @t6733 () (@list @t3180)) % 1.71/1.91 (define @t6734 () (forall @t6733 @t6731)) % 1.71/1.91 (define @t6735 () (forall @t6733 @t6730)) % 1.71/1.91 (define @t6736 () (or @t2357 @t6735)) % 1.71/1.91 (define @t6737 () (tptp.in @t3067 @t3160)) % 1.71/1.91 (define @t6738 () (forall @t70 (or @t2401 @t6737))) % 1.71/1.91 (define @t6739 () (or @t197 @t6738)) % 1.71/1.91 (define @t6740 () (or @t4584 @t653)) % 1.71/1.91 (define @t6741 () (=> tptp.upairinpowunion @t6729)) % 1.71/1.91 (define @t6742 () (or @t3188 @t3187)) % 1.71/1.91 (define @t6743 () (or @t2357 @t6742)) % 1.71/1.91 (define @t6744 () (forall @t3190 @t6743)) % 1.71/1.91 (define @t6745 () (@list @t3186)) % 1.71/1.91 (define @t6746 () (forall @t6745 @t6743)) % 1.71/1.91 (define @t6747 () (forall @t6745 @t6742)) % 1.71/1.91 (define @t6748 () (or @t2357 @t6747)) % 1.71/1.91 (define @t6749 () (tptp.subset @t3067 @t3159)) % 1.71/1.91 (define @t6750 () (forall @t70 (or @t2401 @t6749))) % 1.71/1.91 (define @t6751 () (or @t197 @t6750)) % 1.71/1.91 (define @t6752 () (or @t4584 @t648)) % 1.71/1.91 (define @t6753 () (=> tptp.upairsubunion @t6741)) % 1.71/1.91 (define @t6754 () (not @t295)) % 1.71/1.91 (define @t6755 () (or @t6754 @t745 @t3192)) % 1.71/1.91 (define @t6756 () (or @t745 @t3192)) % 1.71/1.91 (define @t6757 () (=> tptp.upairset2E @t6753)) % 1.71/1.91 (define @t6758 () (or @t197 @t645)) % 1.71/1.91 (define @t6759 () (=> tptp.singletoninpowunion @t6757)) % 1.71/1.91 (define @t6760 () (or @t197 @t641)) % 1.71/1.91 (define @t6761 () (=> tptp.singletoninpowerset @t6759)) % 1.71/1.91 (define @t6762 () (or @t197 @t637)) % 1.71/1.91 (define @t6763 () (=> tptp.singletonsubset @t6761)) % 1.71/1.91 (define @t6764 () (=> tptp.kpairp @t6763)) % 1.71/1.91 (define @t6765 () (=> tptp.kpairiskpair @t6764)) % 1.71/1.91 (define @t6766 () (=> tptp.setukpairIR @t6765)) % 1.71/1.91 (define @t6767 () (=> tptp.setukpairIL @t6766)) % 1.71/1.91 (define @t6768 () (=> tptp.secondinupair @t6767)) % 1.71/1.91 (define @t6769 () (or @t7 @t6 @t612)) % 1.71/1.91 (define @t6770 () (not @t437)) % 1.71/1.91 (define @t6771 () (not @t197)) % 1.71/1.91 (define @t6772 () (=> tptp.symdiffIneg2 @t6768)) % 1.71/1.91 (define @t6773 () (or @t197 @t437 @t612)) % 1.71/1.91 (define @t6774 () (=> tptp.symdiffIneg1 @t6772)) % 1.71/1.91 (define @t6775 () (or @t7 @t437 @t602)) % 1.71/1.91 (define @t6776 () (=> tptp.symdiffI2 @t6774)) % 1.71/1.91 (define @t6777 () (or @t197 @t6 @t602)) % 1.71/1.91 (define @t6778 () (=> tptp.symdiffI1 @t6776)) % 1.71/1.91 (define @t6779 () (or @t612 @t3220 @t3219)) % 1.71/1.91 (define @t6780 () (or @t3220 @t3219)) % 1.71/1.91 (define @t6781 () (and @t2357 @t2179 @t4054)) % 1.71/1.91 (define @t6782 () (and @t2356 @t2180 @t4054)) % 1.71/1.91 (define @t6783 () (or @t6782 @t6781)) % 1.71/1.91 (define @t6784 () (or @t6782 @t6781 false)) % 1.71/1.91 (define @t6785 () (and @t2357 @t2179 @t1064)) % 1.71/1.91 (define @t6786 () (and @t2356 @t2180 @t1064)) % 1.71/1.91 (define @t6787 () (or @t173 @t6786 @t6785 @t173)) % 1.71/1.91 (define @t6788 () (or @t6786 @t6785 @t173)) % 1.71/1.91 (define @t6789 () (and @t197 @t6 @t1064)) % 1.71/1.91 (define @t6790 () (and @t7 @t437 @t1064)) % 1.71/1.91 (define @t6791 () (or @t6790 @t6789 @t173)) % 1.71/1.91 (define @t6792 () (and @t6 @t1064)) % 1.71/1.91 (define @t6793 () (not @t500)) % 1.71/1.91 (define @t6794 () (=> tptp.symdiffE @t6778)) % 1.71/1.91 (define @t6795 () (= tptp.emptyset @t568)) % 1.71/1.91 (define @t6796 () (not @t6795)) % 1.71/1.91 (define @t6797 () (or @t6796 @t422)) % 1.71/1.91 (define @t6798 () (=> tptp.setminusSubset1 @t6794)) % 1.71/1.91 (define @t6799 () (=> tptp.setminusLsub @t6798)) % 1.71/1.91 (define @t6800 () (or @t437 @t581)) % 1.71/1.91 (define @t6801 () (=> tptp.setminusIRneg @t6799)) % 1.71/1.91 (define @t6802 () (or @t7 @t581)) % 1.71/1.91 (define @t6803 () (=> tptp.setminusILneg @t6801)) % 1.71/1.91 (define @t6804 () (or @t569 @t6 @t197)) % 1.71/1.91 (define @t6805 () (or @t6 @t197)) % 1.71/1.91 (define @t6806 () (not @t581)) % 1.71/1.91 (define @t6807 () (=> tptp.setminusELneg @t6803)) % 1.71/1.91 (define @t6808 () (or @t569 @t197 @t6)) % 1.71/1.91 (define @t6809 () (or @t197 @t6)) % 1.71/1.91 (define @t6810 () (=> tptp.setminusERneg @t6807)) % 1.71/1.91 (define @t6811 () (or @t441 @t6795)) % 1.71/1.91 (define @t6812 () (=> tptp.setminusSubset2 @t6810)) % 1.71/1.91 (define @t6813 () (or @t581 @t437)) % 1.71/1.91 (define @t6814 () (=> tptp.setminusER @t6812)) % 1.71/1.91 (define @t6815 () (or @t581 @t7)) % 1.71/1.91 (define @t6816 () (=> tptp.setminusEL @t6814)) % 1.71/1.91 (define @t6817 () (or @t197 @t6 @t569)) % 1.71/1.91 (define @t6818 () (=> tptp.setminusI @t6816)) % 1.71/1.91 (define @t6819 () (=> tptp.bs114d @t6818)) % 1.71/1.91 (define @t6820 () (= @t2 @t517)) % 1.71/1.91 (define @t6821 () (not @t6820)) % 1.71/1.91 (define @t6822 () (or @t6821 @t422)) % 1.71/1.91 (define @t6823 () (=> tptp.binintersectSubset1 @t6819)) % 1.71/1.91 (define @t6824 () (= @t1 @t517)) % 1.71/1.91 (define @t6825 () (not @t427)) % 1.71/1.91 (define @t6826 () (or @t6825 @t6824)) % 1.71/1.91 (define @t6827 () (=> tptp.binintersectSubset4 @t6823)) % 1.71/1.91 (define @t6828 () (_ tptp.subset @t3240)) % 1.71/1.91 (define @t6829 () (=> tptp.binintersectRsub @t6827)) % 1.71/1.91 (define @t6830 () (= tptp.emptyset @t517)) % 1.71/1.91 (define @t6831 () (or @t3254 @t6830)) % 1.71/1.91 (define @t6832 () (or @t197 @t437)) % 1.71/1.91 (define @t6833 () (forall @t9 (not @t545))) % 1.71/1.91 (define @t6834 () (not @t6833)) % 1.71/1.91 (define @t6835 () (=> tptp.disjointsetsI1 @t6829)) % 1.71/1.91 (define @t6836 () (not @t518)) % 1.71/1.91 (define @t6837 () (or @t6836 @t6)) % 1.71/1.91 (define @t6838 () (=> tptp.binintersectER @t6835)) % 1.71/1.91 (define @t6839 () (not @t6824)) % 1.71/1.91 (define @t6840 () (or @t6839 @t427)) % 1.71/1.91 (define @t6841 () (=> tptp.binintersectSubset3 @t6838)) % 1.71/1.91 (define @t6842 () (or @t441 @t6820)) % 1.71/1.91 (define @t6843 () (=> tptp.binintersectSubset2 @t6841)) % 1.71/1.91 (define @t6844 () (=> tptp.binintersectLsub @t6843)) % 1.71/1.91 (define @t6845 () (or @t6836 @t7)) % 1.71/1.91 (define @t6846 () (=> tptp.binintersectEL @t6844)) % 1.71/1.91 (define @t6847 () (not @t524)) % 1.71/1.91 (define @t6848 () (not @t526)) % 1.71/1.91 (define @t6849 () (or @t6848 @t6847 @t523)) % 1.71/1.91 (define @t6850 () (=> tptp.binintersectSubset5 @t6846)) % 1.71/1.91 (define @t6851 () (or @t197 @t437 @t518)) % 1.71/1.91 (define @t6852 () (=> tptp.binintersectI @t6850)) % 1.71/1.91 (define @t6853 () (=> tptp.binunionRsub @t6852)) % 1.71/1.91 (define @t6854 () (=> tptp.binunionLsub @t6853)) % 1.71/1.91 (define @t6855 () (not @t495)) % 1.71/1.91 (define @t6856 () (or @t6855 @t7 @t6)) % 1.71/1.91 (define @t6857 () (=> tptp.binunionE @t6854)) % 1.71/1.91 (define @t6858 () (and @t2179 @t4054)) % 1.71/1.91 (define @t6859 () (and @t2356 @t4054)) % 1.71/1.91 (define @t6860 () (or @t3274 @t6859 @t6858)) % 1.71/1.91 (define @t6861 () (or @t3274 @t6859 @t6858 false)) % 1.71/1.91 (define @t6862 () (and @t2179 @t1064)) % 1.71/1.91 (define @t6863 () (and @t2356 @t1064)) % 1.71/1.91 (define @t6864 () (or @t173 @t3274 @t6863 @t6862 @t173)) % 1.71/1.91 (define @t6865 () (or @t3274 @t6863 @t6862 @t173)) % 1.71/1.91 (define @t6866 () (forall @t179 @t6865)) % 1.71/1.91 (define @t6867 () (forall @t245 @t6866)) % 1.71/1.91 (define @t6868 () (and @t7 @t1064)) % 1.71/1.91 (define @t6869 () (or @t6855 @t6868 @t6792 @t173)) % 1.71/1.91 (define @t6870 () (or @t6868 @t6792 @t173)) % 1.71/1.91 (define @t6871 () (=> tptp.binunionEcases @t6857)) % 1.71/1.91 (define @t6872 () (or @t437 @t495)) % 1.71/1.91 (define @t6873 () (=> tptp.binunionIR @t6871)) % 1.71/1.91 (define @t6874 () (=> tptp.upairset2IR @t6873)) % 1.71/1.91 (define @t6875 () (or @t197 @t495)) % 1.71/1.91 (define @t6876 () (=> tptp.binunionIL @t6874)) % 1.71/1.91 (define @t6877 () (tptp.subset @t6645 @t2)) % 1.71/1.91 (define @t6878 () (=> tptp.sepSubset @t6876)) % 1.71/1.91 (define @t6879 () (tptp.in @t6645 @t2413)) % 1.71/1.91 (define @t6880 () (=> tptp.sepInPowerset @t6878)) % 1.71/1.91 (define @t6881 () (or @t441 @t485)) % 1.71/1.91 (define @t6882 () (=> tptp.powersetsubset @t6880)) % 1.71/1.91 (define @t6883 () (=> tptp.inPowerset @t6882)) % 1.71/1.91 (define @t6884 () (not @t35)) % 1.71/1.91 (define @t6885 () (or @t6884 @t427)) % 1.71/1.91 (define @t6886 () (=> tptp.powersetE1 @t6883)) % 1.71/1.91 (define @t6887 () (or @t6825 @t35)) % 1.71/1.91 (define @t6888 () (=> tptp.powersetI1 @t6886)) % 1.71/1.91 (define @t6889 () (not @t475)) % 1.71/1.91 (define @t6890 () (or @t6889 @t196)) % 1.71/1.91 (define @t6891 () (=> tptp.subsetemptysetimpeq @t6888)) % 1.71/1.91 (define @t6892 () (or @t441 @t6825 @t3)) % 1.71/1.91 (define @t6893 () (=> tptp.setextsub @t6891)) % 1.71/1.91 (define @t6894 () (or @t441 @t469)) % 1.71/1.91 (define @t6895 () (=> tptp.subset2powerset @t6893)) % 1.71/1.91 (define @t6896 () (or @t441 @t465)) % 1.71/1.91 (define @t6897 () (=> tptp.setadjoinSub2 @t6895)) % 1.71/1.91 (define @t6898 () (=> tptp.setadjoinSub @t6897)) % 1.71/1.91 (define @t6899 () (not @t455)) % 1.71/1.91 (define @t6900 () (or @t441 @t6899 @t454)) % 1.71/1.91 (define @t6901 () (=> tptp.subsetTrans @t6898)) % 1.71/1.91 (define @t6902 () (=> tptp.subsetRefl @t6901)) % 1.71/1.91 (define @t6903 () (@list @t1 @t4)) % 1.71/1.91 (define @t6904 () (or @t2180 @t2179)) % 1.71/1.91 (define @t6905 () (not (= @t1 @t1))) % 1.71/1.91 (define @t6906 () (or @t2180 @t2179 @t6905)) % 1.71/1.91 (define @t6907 () (or @t445 @t2357 @t2179 @t445)) % 1.71/1.91 (define @t6908 () (or @t2357 @t2179 @t445)) % 1.71/1.91 (define @t6909 () (forall @t64 @t6908)) % 1.71/1.91 (define @t6910 () (forall @t6903 @t6909)) % 1.71/1.91 (define @t6911 () (forall (@list @t1 @t4 @t2) @t6908)) % 1.71/1.91 (define @t6912 () (or @t197 @t6 @t445)) % 1.71/1.91 (define @t6913 () (=> tptp.notequalI2 @t6902)) % 1.71/1.91 (define @t6914 () (or @t3305 @t6905)) % 1.71/1.91 (define @t6915 () (or @t445 @t3222 @t445)) % 1.71/1.91 (define @t6916 () (or @t3222 @t445)) % 1.71/1.91 (define @t6917 () (forall @t64 @t6916)) % 1.71/1.91 (define @t6918 () (forall @t41 @t6917)) % 1.71/1.91 (define @t6919 () (@list @t1 @t2)) % 1.71/1.91 (define @t6920 () (forall @t6919 @t6916)) % 1.71/1.91 (define @t6921 () (or @t422 @t445)) % 1.71/1.91 (define @t6922 () (=> tptp.notequalI1 @t6913)) % 1.71/1.91 (define @t6923 () (or @t197 @t6 @t441)) % 1.71/1.91 (define @t6924 () (=> tptp.notsubsetI @t6922)) % 1.71/1.91 (define @t6925 () (or @t441 @t6 @t197)) % 1.71/1.91 (define @t6926 () (=> tptp.subsetE2 @t6924)) % 1.71/1.91 (define @t6927 () (or @t441 @t197 @t6)) % 1.71/1.91 (define @t6928 () (=> tptp.subsetE @t6926)) % 1.71/1.91 (define @t6929 () (=> tptp.emptysetsubset @t6928)) % 1.71/1.91 (define @t6930 () (or @t3313 @t422)) % 1.71/1.91 (define @t6931 () (=> tptp.subsetI2 @t6929)) % 1.71/1.91 (define @t6932 () (or @t6905 @t3305)) % 1.71/1.91 (define @t6933 () (or @t445 @t445 @t3222)) % 1.71/1.91 (define @t6934 () (or @t445 @t3222)) % 1.71/1.91 (define @t6935 () (forall @t64 @t6934)) % 1.71/1.91 (define @t6936 () (forall @t41 @t6935)) % 1.71/1.91 (define @t6937 () (forall @t6919 @t6934)) % 1.71/1.91 (define @t6938 () (or @t445 @t422)) % 1.71/1.91 (define @t6939 () (=> tptp.eqimpsubset1 @t6931)) % 1.71/1.91 (define @t6940 () (or @t445 @t445 @t3248)) % 1.71/1.91 (define @t6941 () (or @t445 @t3248)) % 1.71/1.91 (define @t6942 () (forall @t64 @t6941)) % 1.71/1.91 (define @t6943 () (forall @t41 @t6942)) % 1.71/1.91 (define @t6944 () (forall @t6919 @t6941)) % 1.71/1.91 (define @t6945 () (or @t445 @t427)) % 1.71/1.91 (define @t6946 () (=> tptp.eqimpsubset2 @t6939)) % 1.71/1.91 (define @t6947 () (=> tptp.subsetI1 @t6946)) % 1.71/1.91 (define @t6948 () (or @t2180 @t2180 @t3320)) % 1.71/1.91 (define @t6949 () (forall @t9 @t6948)) % 1.71/1.91 (define @t6950 () (not @t6949)) % 1.71/1.91 (define @t6951 () (or @t6905 @t6950 (= @t3316 @t3318))) % 1.71/1.91 (define @t6952 () (= (tptp.dsetconstr @t2 @t3315) @t3318)) % 1.71/1.91 (define @t6953 () (not (forall @t9 (or @t2357 @t2180 @t3320)))) % 1.71/1.91 (define @t6954 () (or @t445 @t445 @t6953 @t6952)) % 1.71/1.91 (define @t6955 () (or @t445 @t6953 @t6952)) % 1.71/1.91 (define @t6956 () (forall @t64 @t6955)) % 1.71/1.91 (define @t6957 () (forall @t3324 @t6956)) % 1.71/1.91 (define @t6958 () (forall (@list @t1 @t3315 @t3317 @t2) @t6955)) % 1.71/1.91 (define @t6959 () (@list @t2 @t1 @t3315 @t3317)) % 1.71/1.91 (define @t6960 () (or @t6953 @t6952)) % 1.71/1.91 (define @t6961 () (or @t445 @t6960)) % 1.71/1.91 (define @t6962 () (forall @t6959 @t6961)) % 1.71/1.91 (define @t6963 () (@list @t3315 @t3317)) % 1.71/1.91 (define @t6964 () (forall @t6963 @t6961)) % 1.71/1.91 (define @t6965 () (forall @t6963 @t6960)) % 1.71/1.91 (define @t6966 () (or @t445 @t6965)) % 1.71/1.91 (define @t6967 () (= @t3106 @t3349)) % 1.71/1.91 (define @t6968 () (forall @t9 (or @t2357 @t2180 @t6967))) % 1.71/1.91 (define @t6969 () (not @t6968)) % 1.71/1.91 (define @t6970 () (forall @t378 (or @t6969 (= @t3126 (tptp.dsetconstr @t1 @t368))))) % 1.71/1.91 (define @t6971 () (lambda @t9 @t3349)) % 1.71/1.91 (define @t6972 () (tptp.dsetconstr @t1 @t6971)) % 1.71/1.91 (define @t6973 () (= @t6645 @t6972)) % 1.71/1.91 (define @t6974 () (or @t6969 @t6973)) % 1.71/1.91 (define @t6975 () (or @t6969 @t412)) % 1.71/1.91 (define @t6976 () (or @t197 @t2180 @t6967)) % 1.71/1.91 (define @t6977 () (or @t2180 @t6967)) % 1.71/1.91 (define @t6978 () (not (= @t4 @t4))) % 1.71/1.91 (define @t6979 () (or @t2180 @t6978 @t6967)) % 1.71/1.91 (define @t6980 () (= @t3106 @t3327)) % 1.71/1.91 (define @t6981 () (or @t282 @t2401 @t282 @t6980)) % 1.71/1.91 (define @t6982 () (or @t2401 @t282 @t6980)) % 1.71/1.91 (define @t6983 () (or @t4584 @t282 @t374)) % 1.71/1.91 (define @t6984 () (or @t282 @t374)) % 1.71/1.91 (define @t6985 () (=> tptp.dsetconstr__Cong @t6947)) % 1.71/1.91 (define @t6986 () (or @t3328 (= @t3326 @t19))) % 1.71/1.91 (define @t6987 () (forall @t70 @t6986)) % 1.71/1.91 (define @t6988 () (not @t6987)) % 1.71/1.91 (define @t6989 () (or @t3116 (= @t3330 @t19))) % 1.71/1.91 (define @t6990 () (forall @t70 @t6989)) % 1.71/1.91 (define @t6991 () (not @t6990)) % 1.71/1.91 (define @t6992 () (or @t3336 @t3333 @t3331 @t6991 @t3329 @t6988)) % 1.71/1.91 (define @t6993 () (or @t3329 @t6988)) % 1.71/1.91 (define @t6994 () (or @t3331 @t6991)) % 1.71/1.91 (define @t6995 () (or @t3336 @t6994 @t6993 @t3333)) % 1.71/1.91 (define @t6996 () (forall @t3337 @t6995)) % 1.71/1.91 (define @t6997 () (forall (@list @t3330 @t3326) @t6995)) % 1.71/1.91 (define @t6998 () (forall (@list @t3326) @t6993)) % 1.71/1.91 (define @t6999 () (forall (@list @t3330) @t6994)) % 1.71/1.91 (define @t7000 () (or @t3336 @t6999 @t6998 @t3333)) % 1.71/1.91 (define @t7001 () (tptp.descr @t6971)) % 1.71/1.91 (define @t7002 () (tptp.descr @t6336)) % 1.71/1.91 (define @t7003 () (= @t7002 @t7001)) % 1.71/1.91 (define @t7004 () (or @t3336 @t3354 @t3350 @t7003)) % 1.71/1.91 (define @t7005 () (or @t3336 @t3354 @t3350 @t404)) % 1.71/1.91 (define @t7006 () (or @t3354 @t3350 @t404)) % 1.71/1.91 (define @t7007 () (=> @t3351 @t404)) % 1.71/1.91 (define @t7008 () (not @t3355)) % 1.71/1.91 (define @t7009 () (=> @t3355 @t7007)) % 1.71/1.91 (define @t7010 () (not @t369)) % 1.71/1.91 (define @t7011 () (or @t7010 @t3348)) % 1.71/1.91 (define @t7012 () (not @t373)) % 1.71/1.91 (define @t7013 () (or @t7012 @t129)) % 1.71/1.91 (define @t7014 () (_ @t370 @t19)) % 1.71/1.91 (define @t7015 () (not @t7014)) % 1.71/1.91 (define @t7016 () (or @t7015 @t129)) % 1.71/1.91 (define @t7017 () (forall @t70 @t7016)) % 1.71/1.91 (define @t7018 () (not @t7017)) % 1.71/1.91 (define @t7019 () (_ @t370 @t4)) % 1.71/1.91 (define @t7020 () (not @t7019)) % 1.71/1.91 (define @t7021 () (or @t7020 @t7018)) % 1.71/1.91 (define @t7022 () (forall @t9 @t7021)) % 1.71/1.91 (define @t7023 () (not @t7022)) % 1.71/1.91 (define @t7024 () (_ @t3888 @t370)) % 1.71/1.91 (define @t7025 () (=> @t7024 @t404)) % 1.71/1.91 (define @t7026 () (_ @t145 @t19)) % 1.71/1.91 (define @t7027 () (not @t7026)) % 1.71/1.91 (define @t7028 () (or @t7027 @t129)) % 1.71/1.91 (define @t7029 () (forall @t70 @t7028)) % 1.71/1.91 (define @t7030 () (not @t7029)) % 1.71/1.91 (define @t7031 () (_ @t145 @t4)) % 1.71/1.91 (define @t7032 () (not @t7031)) % 1.71/1.91 (define @t7033 () (or @t7032 @t7030)) % 1.71/1.91 (define @t7034 () (forall @t9 @t7033)) % 1.71/1.91 (define @t7035 () (not @t7034)) % 1.71/1.91 (define @t7036 () (_ @t3888 @t145)) % 1.71/1.91 (define @t7037 () (=> @t7036 @t7025)) % 1.71/1.91 (define @t7038 () (or @t6571 @t3334)) % 1.71/1.91 (define @t7039 () (or @t282 @t282 @t6980)) % 1.71/1.91 (define @t7040 () (or @t282 @t6980)) % 1.71/1.91 (define @t7041 () (forall @t9 @t7040)) % 1.71/1.91 (define @t7042 () (forall @t70 @t7041)) % 1.71/1.91 (define @t7043 () (forall @t6579 @t7040)) % 1.71/1.91 (define @t7044 () (=> @t376 @t7037)) % 1.71/1.91 (define @t7045 () (forall @t378 @t7044)) % 1.71/1.91 (define @t7046 () (=> tptp.descr__Cong @t6985)) % 1.71/1.91 (define @t7047 () (or @t3116 (= @t3344 @t19))) % 1.71/1.91 (define @t7048 () (forall @t70 @t7047)) % 1.71/1.91 (define @t7049 () (not @t7048)) % 1.71/1.91 (define @t7050 () (or @t3345 @t7049 @t3343 @t3342 @t3341)) % 1.71/1.91 (define @t7051 () (or @t3343 @t3342 @t3341)) % 1.71/1.91 (define @t7052 () (or @t3345 @t7049)) % 1.71/1.91 (define @t7053 () (or @t7052 @t7051)) % 1.71/1.91 (define @t7054 () (forall @t3346 @t7053)) % 1.71/1.91 (define @t7055 () (forall (@list @t3344 @t3340 @t3339) @t7053)) % 1.71/1.91 (define @t7056 () (forall (@list @t3340 @t3339) @t7051)) % 1.71/1.91 (define @t7057 () (forall (@list @t3344) @t7052)) % 1.71/1.91 (define @t7058 () (or @t7057 @t7056)) % 1.71/1.91 (define @t7059 () (=> @t7036 @t346)) % 1.71/1.91 (define @t7060 () (forall @t150 @t7059)) % 1.71/1.91 (define @t7061 () (=> tptp.exuEu @t7046)) % 1.71/1.91 (define @t7062 () (=> tptp.omega__Cong @t7061)) % 1.71/1.91 (define @t7063 () (tptp.setunion @t1)) % 1.71/1.91 (define @t7064 () (or @t6905 (= @t7063 @t7063))) % 1.71/1.91 (define @t7065 () (= @t3141 @t7063)) % 1.71/1.91 (define @t7066 () (or @t445 @t445 @t7065)) % 1.71/1.91 (define @t7067 () (or @t445 @t7065)) % 1.71/1.91 (define @t7068 () (forall @t64 @t7067)) % 1.71/1.91 (define @t7069 () (forall @t41 @t7068)) % 1.71/1.91 (define @t7070 () (forall @t6919 @t7067)) % 1.71/1.91 (define @t7071 () (or @t445 @t398)) % 1.71/1.91 (define @t7072 () (=> tptp.setunion__Cong @t7062)) % 1.71/1.91 (define @t7073 () (or @t6905 (= @t3280 @t3280))) % 1.71/1.91 (define @t7074 () (= @t2413 @t3280)) % 1.71/1.91 (define @t7075 () (or @t445 @t445 @t7074)) % 1.71/1.91 (define @t7076 () (or @t445 @t7074)) % 1.71/1.91 (define @t7077 () (forall @t64 @t7076)) % 1.71/1.91 (define @t7078 () (forall @t41 @t7077)) % 1.71/1.91 (define @t7079 () (forall @t6919 @t7076)) % 1.71/1.91 (define @t7080 () (or @t445 @t394)) % 1.71/1.91 (define @t7081 () (=> tptp.powerset__Cong @t7072)) % 1.71/1.91 (define @t7082 () (@var "BOUND_VARIABLE_11604" $$unsorted)) % 1.71/1.91 (define @t7083 () (@list @t19 @t7082)) % 1.71/1.91 (define @t7084 () (tptp.setadjoin @t19 @t7082)) % 1.71/1.91 (define @t7085 () (or @t6571 (= @t7084 @t7084))) % 1.71/1.91 (define @t7086 () (= @t7084 (tptp.setadjoin @t4 @t7082))) % 1.71/1.91 (define @t7087 () (or @t282 @t282 @t7086)) % 1.71/1.91 (define @t7088 () (or @t282 @t7086)) % 1.71/1.91 (define @t7089 () (forall @t9 @t7088)) % 1.71/1.91 (define @t7090 () (forall @t7083 @t7089)) % 1.71/1.91 (define @t7091 () (forall (@list @t19 @t7082 @t4) @t7088)) % 1.71/1.91 (define @t7092 () (forall (@list @t4 @t19 @t7082) @t7088)) % 1.71/1.91 (define @t7093 () (@list @t7082)) % 1.71/1.91 (define @t7094 () (forall @t7093 @t7088)) % 1.71/1.91 (define @t7095 () (forall @t7093 @t7086)) % 1.71/1.91 (define @t7096 () (or @t282 @t7095)) % 1.71/1.91 (define @t7097 () (tptp.setadjoin @t4 @t383)) % 1.71/1.91 (define @t7098 () (tptp.setadjoin @t19 @t383)) % 1.71/1.91 (define @t7099 () (= @t7098 @t7097)) % 1.71/1.91 (define @t7100 () (forall @t757 @t7099)) % 1.71/1.91 (define @t7101 () (or @t6561 (= @t7097 @t7098))) % 1.71/1.91 (define @t7102 () (tptp.setadjoin @t4 @t289)) % 1.71/1.91 (define @t7103 () (= @t7102 @t7098)) % 1.71/1.91 (define @t7104 () (or @t6563 @t6563 @t7103)) % 1.71/1.91 (define @t7105 () (or @t6563 @t7103)) % 1.71/1.91 (define @t7106 () (forall @t1068 @t7105)) % 1.71/1.91 (define @t7107 () (forall @t757 @t7106)) % 1.71/1.91 (define @t7108 () (forall (@list @t383 @t289) @t7105)) % 1.71/1.91 (define @t7109 () (or @t6563 @t386)) % 1.71/1.91 (define @t7110 () (=> tptp.setadjoin__Cong @t7081)) % 1.71/1.91 (define @t7111 () (=> tptp.emptyset__Cong @t7110)) % 1.71/1.91 (define @t7112 () (= @t7036 @t7024)) % 1.71/1.91 (define @t7113 () (=> @t376 @t7112)) % 1.71/1.91 (define @t7114 () (forall @t378 @t7113)) % 1.71/1.91 (define @t7115 () (=> tptp.exu__Cong @t7111)) % 1.71/1.91 (define @t7116 () (=> tptp.exuE3u @t7115)) % 1.71/1.91 (define @t7117 () (@var "BOUND_VARIABLE_11478" $$unsorted)) % 1.71/1.91 (define @t7118 () (@list @t1 @t7117)) % 1.71/1.91 (define @t7119 () (tptp.in @t7117 @t1)) % 1.71/1.91 (define @t7120 () (or @t6905 (= @t7119 @t7119))) % 1.71/1.91 (define @t7121 () (= (tptp.in @t7117 @t2) @t7119)) % 1.71/1.91 (define @t7122 () (or @t445 @t445 @t7121)) % 1.71/1.91 (define @t7123 () (or @t445 @t7121)) % 1.71/1.91 (define @t7124 () (forall @t64 @t7123)) % 1.71/1.91 (define @t7125 () (forall @t7118 @t7124)) % 1.71/1.91 (define @t7126 () (forall (@list @t1 @t7117 @t2) @t7123)) % 1.71/1.91 (define @t7127 () (forall (@list @t2 @t1 @t7117) @t7123)) % 1.71/1.91 (define @t7128 () (@list @t7117)) % 1.71/1.91 (define @t7129 () (forall @t7128 @t7123)) % 1.71/1.91 (define @t7130 () (forall @t7128 @t7121)) % 1.71/1.91 (define @t7131 () (or @t445 @t7130)) % 1.71/1.91 (define @t7132 () (= @t2174 @t2400)) % 1.71/1.91 (define @t7133 () (forall @t70 @t7132)) % 1.71/1.91 (define @t7134 () (or @t6571 @t7132)) % 1.71/1.91 (define @t7135 () (= @t2356 @t2400)) % 1.71/1.91 (define @t7136 () (or @t282 @t282 @t7135)) % 1.71/1.91 (define @t7137 () (or @t282 @t7135)) % 1.71/1.91 (define @t7138 () (forall @t9 @t7137)) % 1.71/1.91 (define @t7139 () (forall @t70 @t7138)) % 1.71/1.91 (define @t7140 () (forall @t6579 @t7137)) % 1.71/1.91 (define @t7141 () (or @t282 @t360)) % 1.71/1.91 (define @t7142 () (=> tptp.in__Cong @t7116)) % 1.71/1.91 (define @t7143 () (@var "BOUND_VARIABLE_11441" $$unsorted)) % 1.71/1.91 (define @t7144 () (@list @t1 @t7143)) % 1.71/1.91 (define @t7145 () (tptp.in @t7143 @t1)) % 1.71/1.91 (define @t7146 () (not @t7145)) % 1.71/1.91 (define @t7147 () (or @t7146 @t7145)) % 1.71/1.91 (define @t7148 () (or @t6905 @t7146 @t7145)) % 1.71/1.91 (define @t7149 () (not (tptp.in @t7143 @t2))) % 1.71/1.91 (define @t7150 () (or @t445 @t445 @t7149 @t7145)) % 1.71/1.91 (define @t7151 () (or @t445 @t7149 @t7145)) % 1.71/1.91 (define @t7152 () (forall @t64 @t7151)) % 1.71/1.91 (define @t7153 () (forall @t7144 @t7152)) % 1.71/1.91 (define @t7154 () (forall (@list @t1 @t7143 @t2) @t7151)) % 1.71/1.91 (define @t7155 () (@list @t2 @t1 @t7143)) % 1.71/1.91 (define @t7156 () (or @t7149 @t7145)) % 1.71/1.91 (define @t7157 () (or @t445 @t7156)) % 1.71/1.91 (define @t7158 () (forall @t7155 @t7157)) % 1.71/1.91 (define @t7159 () (@list @t7143)) % 1.71/1.91 (define @t7160 () (forall @t7159 @t7157)) % 1.71/1.91 (define @t7161 () (forall @t7159 @t7156)) % 1.71/1.91 (define @t7162 () (or @t445 @t7161)) % 1.71/1.91 (define @t7163 () (or @t2175 @t2400)) % 1.71/1.91 (define @t7164 () (forall @t70 @t7163)) % 1.71/1.91 (define @t7165 () (or @t6571 @t2175 @t2400)) % 1.71/1.91 (define @t7166 () (or @t282 @t282 @t2357 @t2400)) % 1.71/1.91 (define @t7167 () (or @t282 @t2357 @t2400)) % 1.71/1.91 (define @t7168 () (forall @t9 @t7167)) % 1.71/1.91 (define @t7169 () (forall @t70 @t7168)) % 1.71/1.91 (define @t7170 () (forall @t6579 @t7167)) % 1.71/1.91 (define @t7171 () (or @t282 @t197 @t354)) % 1.71/1.91 (define @t7172 () (=> tptp.inCongP @t7142)) % 1.71/1.91 (define @t7173 () (= @t3358 @t19)) % 1.71/1.91 (define @t7174 () (forall @t70 (= @t7173 @t3115))) % 1.71/1.91 (define @t7175 () (not @t7174)) % 1.71/1.91 (define @t7176 () (or @t7175 @t3355)) % 1.71/1.91 (define @t7177 () (forall @t3359 @t7176)) % 1.71/1.91 (define @t7178 () (@list @t3358)) % 1.71/1.91 (define @t7179 () (forall @t7178 @t7176)) % 1.71/1.91 (define @t7180 () (forall @t7178 @t7175)) % 1.71/1.91 (define @t7181 () (or @t7180 @t3355)) % 1.71/1.91 (define @t7182 () (= @t153 @t129)) % 1.71/1.91 (define @t7183 () (=> @t265 @t7036)) % 1.71/1.91 (define @t7184 () (forall @t150 @t7183)) % 1.71/1.91 (define @t7185 () (=> tptp.exuI2 @t7172)) % 1.71/1.91 (define @t7186 () (@list @t3363)) % 1.71/1.91 (define @t7187 () (forall @t7186 @t3365)) % 1.71/1.91 (define @t7188 () (forall @t7186 @t3364)) % 1.71/1.91 (define @t7189 () (or @t7188 @t3362 @t3355)) % 1.71/1.91 (define @t7190 () (or @t3473 @t3362 @t3355)) % 1.71/1.91 (define @t7191 () (=> @t3361 @t3355)) % 1.71/1.91 (define @t7192 () (=> @t346 @t7036)) % 1.71/1.91 (define @t7193 () (forall @t9 @t317)) % 1.71/1.91 (define @t7194 () (not @t7193)) % 1.71/1.91 (define @t7195 () (=> @t186 @t7192)) % 1.71/1.91 (define @t7196 () (forall @t150 @t7195)) % 1.71/1.91 (define @t7197 () (=> tptp.exuI3 @t7185)) % 1.71/1.91 (define @t7198 () (=> @t169 @t7036)) % 1.71/1.91 (define @t7199 () (forall @t150 @t7198)) % 1.71/1.91 (define @t7200 () (=> tptp.exuI1 @t7197)) % 1.71/1.91 (define @t7201 () (forall @t9 (or @t2357 @t3106))) % 1.71/1.91 (define @t7202 () (not @t7201)) % 1.71/1.91 (define @t7203 () (or @t197 @t144)) % 1.71/1.91 (define @t7204 () (forall @t9 (not @t318))) % 1.71/1.91 (define @t7205 () (not @t7204)) % 1.71/1.91 (define @t7206 () (=> tptp.notdallE @t7200)) % 1.71/1.91 (define @t7207 () (=> tptp.notdexE @t7206)) % 1.71/1.91 (define @t7208 () (or @t3817 @t3369)) % 1.71/1.91 (define @t7209 () (tptp.prop2set @t173)) % 1.71/1.91 (define @t7210 () (tptp.set2prop @t7209)) % 1.71/1.91 (define @t7211 () (or @t1064 @t1064 @t7210)) % 1.71/1.91 (define @t7212 () (or @t1064 @t7210)) % 1.71/1.91 (define @t7213 () (or @t1064 @t339)) % 1.71/1.91 (define @t7214 () (=> tptp.prop2set2propI @t7207)) % 1.71/1.91 (define @t7215 () (or @t3817 @t3371)) % 1.71/1.91 (define @t7216 () (tptp.in tptp.emptyset @t7209)) % 1.71/1.91 (define @t7217 () (or @t1064 @t1064 @t7216)) % 1.71/1.91 (define @t7218 () (or @t1064 @t7216)) % 1.71/1.91 (define @t7219 () (or @t1064 @t336)) % 1.71/1.91 (define @t7220 () (=> tptp.prop2setI @t7214)) % 1.71/1.91 (define @t7221 () (=> tptp.quantDeMorgan4 @t7220)) % 1.71/1.91 (define @t7222 () (=> tptp.quantDeMorgan3 @t7221)) % 1.71/1.91 (define @t7223 () (=> tptp.quantDeMorgan2 @t7222)) % 1.71/1.91 (define @t7224 () (=> tptp.quantDeMorgan1 @t7223)) % 1.71/1.91 (define @t7225 () (or @t16 @t144)) % 1.71/1.91 (define @t7226 () (=> tptp.vacuousDall @t7224)) % 1.71/1.91 (define @t7227 () (or @t3379 @t3378)) % 1.71/1.91 (define @t7228 () (or @t7227 @t3380)) % 1.71/1.91 (define @t7229 () (forall @t3382 @t7228)) % 1.71/1.91 (define @t7230 () (@list @t3377)) % 1.71/1.91 (define @t7231 () (forall @t7230 @t7228)) % 1.71/1.91 (define @t7232 () (forall @t7230 @t7227)) % 1.71/1.91 (define @t7233 () (or @t7232 @t3380)) % 1.71/1.91 (define @t7234 () (= tptp.emptyset @t6645)) % 1.71/1.91 (define @t7235 () (not @t7234)) % 1.71/1.91 (define @t7236 () (or @t3120 @t7235)) % 1.71/1.91 (define @t7237 () (= tptp.emptyset @t306)) % 1.71/1.91 (define @t7238 () (not @t7237)) % 1.71/1.91 (define @t7239 () (or @t3120 @t7238)) % 1.71/1.91 (define @t7240 () (=> tptp.emptyE1 @t7226)) % 1.71/1.91 (define @t7241 () (=> tptp.upairsetIR @t7240)) % 1.71/1.91 (define @t7242 () (=> tptp.upairsetIL @t7241)) % 1.71/1.91 (define @t7243 () (=> tptp.upairsetE @t7242)) % 1.71/1.91 (define @t7244 () (not @t276)) % 1.71/1.91 (define @t7245 () (or @t7244 @t280)) % 1.71/1.91 (define @t7246 () (=> tptp.singletonsswitch @t7243)) % 1.71/1.91 (define @t7247 () (or @t6571 @t3395)) % 1.71/1.91 (define @t7248 () (or @t282 @t282 @t3391)) % 1.71/1.91 (define @t7249 () (or @t282 @t3391)) % 1.71/1.91 (define @t7250 () (forall @t9 @t7249)) % 1.71/1.91 (define @t7251 () (forall @t70 @t7250)) % 1.71/1.91 (define @t7252 () (forall @t6579 @t7249)) % 1.71/1.91 (define @t7253 () (or @t282 @t276)) % 1.71/1.91 (define @t7254 () (=> tptp.eqinunit @t7246)) % 1.71/1.91 (define @t7255 () (or @t129 @t281)) % 1.71/1.91 (define @t7256 () (=> tptp.notinsingleton @t7254)) % 1.71/1.91 (define @t7257 () (or @t7244 @t129)) % 1.71/1.91 (define @t7258 () (=> tptp.uniqinunit @t7256)) % 1.71/1.91 (define @t7259 () (not @t196)) % 1.71/1.91 (define @t7260 () (not @t198)) % 1.71/1.91 (define @t7261 () (_ @t2157 @t2)) % 1.71/1.91 (define @t7262 () (=> @t7261 @t270)) % 1.71/1.91 (define @t7263 () (forall @t64 @t7262)) % 1.71/1.91 (define @t7264 () (=> tptp.nonemptyImpWitness @t7258)) % 1.71/1.91 (define @t7265 () (or @t3116 (= @t3406 @t19))) % 1.71/1.91 (define @t7266 () (forall @t70 @t7265)) % 1.71/1.91 (define @t7267 () (not @t7266)) % 1.71/1.91 (define @t7268 () (or @t3410 @t3407 @t7267)) % 1.71/1.91 (define @t7269 () (or @t3407 @t7267)) % 1.71/1.91 (define @t7270 () (or @t7269 @t3410)) % 1.71/1.91 (define @t7271 () (forall @t3411 @t7270)) % 1.71/1.91 (define @t7272 () (@list @t3406)) % 1.71/1.91 (define @t7273 () (forall @t7272 @t7270)) % 1.71/1.91 (define @t7274 () (forall @t7272 @t7269)) % 1.71/1.91 (define @t7275 () (or @t7274 @t3410)) % 1.71/1.91 (define @t7276 () (=> @t7036 @t265)) % 1.71/1.91 (define @t7277 () (forall @t150 @t7276)) % 1.71/1.91 (define @t7278 () (=> tptp.exuE2 @t7264)) % 1.71/1.91 (define @t7279 () (or @t197 @t260)) % 1.71/1.91 (define @t7280 () (=> tptp.subPowSU @t7278)) % 1.71/1.91 (define @t7281 () (or @t6655 @t3421)) % 1.71/1.91 (define @t7282 () (and @t4054 @t3421)) % 1.71/1.91 (define @t7283 () (or @t7282 false)) % 1.71/1.91 (define @t7284 () (and @t1064 @t3421)) % 1.71/1.91 (define @t7285 () (or @t173 @t7284 @t173)) % 1.71/1.91 (define @t7286 () (or @t7284 @t173)) % 1.71/1.91 (define @t7287 () (or @t173 @t3420)) % 1.71/1.91 (define @t7288 () (not @t39)) % 1.71/1.91 (define @t7289 () (or @t437 @t7288)) % 1.71/1.91 (define @t7290 () (forall @t41 @t7289)) % 1.71/1.91 (define @t7291 () (or @t173 @t7290)) % 1.71/1.91 (define @t7292 () (or @t173 @t7289)) % 1.71/1.91 (define @t7293 () (or @t437 @t7288 @t173)) % 1.71/1.91 (define @t7294 () (=> tptp.setunionE @t7280)) % 1.71/1.91 (define @t7295 () (or @t437 @t7288 @t44)) % 1.71/1.91 (define @t7296 () (=> tptp.setunionI @t7294)) % 1.71/1.91 (define @t7297 () (or @t6884 @t437 @t7)) % 1.71/1.91 (define @t7298 () (or @t437 @t7)) % 1.71/1.91 (define @t7299 () (=> tptp.powersetE @t7296)) % 1.71/1.91 (define @t7300 () (=> tptp.emptyInPowerset @t7299)) % 1.71/1.91 (define @t7301 () (=> tptp.emptyinPowerset @t7300)) % 1.71/1.91 (define @t7302 () (or @t3433 @t35)) % 1.71/1.91 (define @t7303 () (=> tptp.powersetI @t7301)) % 1.71/1.91 (define @t7304 () (_ @t155 @t3437)) % 1.71/1.91 (define @t7305 () (= @t2 @t7304)) % 1.71/1.91 (define @t7306 () (=> tptp.setoftrueEq @t7303)) % 1.71/1.91 (define @t7307 () (not @t26)) % 1.71/1.91 (define @t7308 () (or @t7307 @t129 @t21)) % 1.71/1.91 (define @t7309 () (or @t129 @t21)) % 1.71/1.91 (define @t7310 () (=> tptp.setadjoinOr @t7306)) % 1.71/1.91 (define @t7311 () (or @t7307 @t129 @t2174)) % 1.71/1.91 (define @t7312 () (and @t2174 @t4054)) % 1.71/1.91 (define @t7313 () (and @t129 @t4054)) % 1.71/1.91 (define @t7314 () (or @t7313 @t7312)) % 1.71/1.91 (define @t7315 () (or @t7313 @t7312 false)) % 1.71/1.91 (define @t7316 () (and @t2174 @t1064)) % 1.71/1.91 (define @t7317 () (and @t129 @t1064)) % 1.71/1.91 (define @t7318 () (or @t173 @t7317 @t7316 @t173)) % 1.71/1.91 (define @t7319 () (or @t7317 @t7316 @t173)) % 1.71/1.91 (define @t7320 () (and @t21 @t1064)) % 1.71/1.91 (define @t7321 () (or @t7317 @t7320 @t173)) % 1.71/1.91 (define @t7322 () (=> @t129 @t173)) % 1.71/1.91 (define @t7323 () (=> tptp.setadjoinE @t7310)) % 1.71/1.91 (define @t7324 () (or @t3841 @t26)) % 1.71/1.91 (define @t7325 () (=> tptp.setadjoinIR @t7323)) % 1.71/1.91 (define @t7326 () (=> tptp.emptyinunitempty @t7325)) % 1.71/1.91 (define @t7327 () (=> tptp.setadjoinIL @t7326)) % 1.71/1.91 (define @t7328 () (not @t381)) % 1.71/1.91 (define @t7329 () (or @t3455 @t7328)) % 1.71/1.91 (define @t7330 () (not (tptp.in @t3454 @t2))) % 1.71/1.91 (define @t7331 () (or @t7259 @t7330 @t7259)) % 1.71/1.91 (define @t7332 () (or @t7330 @t7259)) % 1.71/1.91 (define @t7333 () (forall @t64 @t7332)) % 1.71/1.91 (define @t7334 () (forall @t3456 @t7333)) % 1.71/1.91 (define @t7335 () (forall (@list @t3454 @t2) @t7332)) % 1.71/1.91 (define @t7336 () (forall (@list @t2 @t3454) @t7332)) % 1.71/1.91 (define @t7337 () (forall @t3456 @t7332)) % 1.71/1.91 (define @t7338 () (forall @t3456 @t7330)) % 1.71/1.91 (define @t7339 () (or @t7338 @t7259)) % 1.71/1.91 (define @t7340 () (not @t3403)) % 1.71/1.91 (define @t7341 () (=> @t89 @t7261)) % 1.71/1.91 (define @t7342 () (forall @t64 @t7341)) % 1.71/1.91 (define @t7343 () (=> tptp.nonemptyI1 @t7327)) % 1.71/1.91 (define @t7344 () (tptp.dsetconstr @t2 @t6627)) % 1.71/1.91 (define @t7345 () (= tptp.emptyset @t7344)) % 1.71/1.91 (define @t7346 () (not @t7345)) % 1.71/1.91 (define @t7347 () (or @t2357 @t3107 @t7346)) % 1.71/1.91 (define @t7348 () (= tptp.emptyset @t156)) % 1.71/1.91 (define @t7349 () (not @t7348)) % 1.71/1.91 (define @t7350 () (or @t197 @t317 @t7349)) % 1.71/1.91 (define @t7351 () (=> @t144 @t7349)) % 1.71/1.91 (define @t7352 () (not (= @t156 tptp.emptyset))) % 1.71/1.91 (define @t7353 () (_ @t2157 @t156)) % 1.71/1.91 (define @t7354 () (=> @t144 @t7353)) % 1.71/1.91 (define @t7355 () (=> @t7 @t7354)) % 1.71/1.91 (define @t7356 () (forall @t159 @t7355)) % 1.71/1.91 (define @t7357 () (=> tptp.nonemptyI @t7343)) % 1.71/1.91 (define @t7358 () (=> @t7261 @t89)) % 1.71/1.91 (define @t7359 () (forall @t64 @t7358)) % 1.71/1.91 (define @t7360 () (=> tptp.nonemptyE1 @t7357)) % 1.71/1.91 (define @t7361 () (tptp.in @t4 @t7344)) % 1.71/1.91 (define @t7362 () (= @t3106 @t7361)) % 1.71/1.91 (define @t7363 () (or @t2357 @t7362)) % 1.71/1.91 (define @t7364 () (= @t144 @t157)) % 1.71/1.91 (define @t7365 () (or @t197 @t7364)) % 1.71/1.91 (define @t7366 () (=> tptp.setbeta @t7360)) % 1.71/1.91 (define @t7367 () (=> tptp.noeltsimpempty @t7366)) % 1.71/1.91 (define @t7368 () (=> tptp.emptyI @t7367)) % 1.71/1.91 (define @t7369 () (=> @t3432 @t3)) % 1.71/1.91 (define @t7370 () (=> tptp.setext @t7368)) % 1.71/1.91 (define @t7371 () (or @t3116 (= @t3471 @t19))) % 1.71/1.91 (define @t7372 () (forall @t70 @t7371)) % 1.71/1.91 (define @t7373 () (not @t7372)) % 1.71/1.91 (define @t7374 () (or @t3474 @t3472 @t7373)) % 1.71/1.91 (define @t7375 () (or @t3472 @t7373)) % 1.71/1.91 (define @t7376 () (or @t7375 @t3474)) % 1.71/1.91 (define @t7377 () (forall @t3475 @t7376)) % 1.71/1.91 (define @t7378 () (@list @t3471)) % 1.71/1.91 (define @t7379 () (forall @t7378 @t7376)) % 1.71/1.91 (define @t7380 () (forall @t7378 @t7375)) % 1.71/1.91 (define @t7381 () (or @t7380 @t3474)) % 1.71/1.91 (define @t7382 () (=> @t7036 @t186)) % 1.71/1.91 (define @t7383 () (forall @t150 @t7382)) % 1.71/1.91 (define @t7384 () (=> tptp.exuE3e @t7370)) % 1.71/1.91 (define @t7385 () (=> tptp.notinemptyset @t7384)) % 1.71/1.91 (define @t7386 () (=> tptp.emptysetimpfalse @t7385)) % 1.71/1.91 (define @t7387 () (or @t173 @t173)) % 1.71/1.91 (define @t7388 () (=> tptp.emptysetE @t7386)) % 1.71/1.91 (define @t7389 () (or @t3482 false)) % 1.71/1.91 (define @t7390 () (tptp.in @t4 @t7209)) % 1.71/1.91 (define @t7391 () (not @t7390)) % 1.71/1.91 (define @t7392 () (or @t173 @t7391 @t173)) % 1.71/1.91 (define @t7393 () (or @t7391 @t173)) % 1.71/1.91 (define @t7394 () (forall @t179 @t7393)) % 1.71/1.91 (define @t7395 () (forall @t9 @t7394)) % 1.71/1.91 (define @t7396 () (forall @t5198 @t7393)) % 1.71/1.91 (define @t7397 () (not @t175)) % 1.71/1.91 (define @t7398 () (or @t7397 @t173)) % 1.71/1.91 (define @t7399 () (=> tptp.prop2setE @t7388)) % 1.71/1.91 (define @t7400 () (=> @t7036 @t169)) % 1.71/1.91 (define @t7401 () (forall @t150 @t7400)) % 1.71/1.91 (define @t7402 () (=> tptp.exuE1 @t7399)) % 1.71/1.91 (define @t7403 () (not @t7361)) % 1.71/1.91 (define @t7404 () (or @t7403 @t3106)) % 1.71/1.91 (define @t7405 () (not @t157)) % 1.71/1.91 (define @t7406 () (or @t7405 @t144)) % 1.71/1.91 (define @t7407 () (=> tptp.dsetconstrER @t7402)) % 1.71/1.91 (define @t7408 () (or @t7403 @t2356)) % 1.71/1.91 (define @t7409 () (or @t7405 @t7)) % 1.71/1.91 (define @t7410 () (=> tptp.dsetconstrEL @t7407)) % 1.71/1.91 (define @t7411 () (or @t2357 @t3107 @t7361)) % 1.71/1.91 (define @t7412 () (or @t197 @t317 @t157)) % 1.71/1.91 (define @t7413 () (=> tptp.dsetconstrI @t7410)) % 1.71/1.91 (define @t7414 () (or @t3116 (= @t3492 @t19))) % 1.71/1.91 (define @t7415 () (forall @t70 @t7414)) % 1.71/1.91 (define @t7416 () (not @t7415)) % 1.71/1.91 (define @t7417 () (or @t3494 @t3493 @t7416)) % 1.71/1.91 (define @t7418 () (or @t3493 @t7416)) % 1.71/1.91 (define @t7419 () (or @t7418 @t3494)) % 1.71/1.91 (define @t7420 () (forall @t3495 @t7419)) % 1.71/1.91 (define @t7421 () (@list @t3492)) % 1.71/1.91 (define @t7422 () (forall @t7421 @t7419)) % 1.71/1.91 (define @t7423 () (forall @t7421 @t7418)) % 1.71/1.91 (define @t7424 () (or @t7423 @t3494)) % 1.71/1.91 (define @t7425 () (_ @t143 @t7002)) % 1.71/1.91 (define @t7426 () (or @t3354 @t7425)) % 1.71/1.91 (define @t7427 () (or @t3354 @t147)) % 1.71/1.91 (define @t7428 () (=> @t7036 @t147)) % 1.71/1.91 (define @t7429 () (forall @t150 @t7428)) % 1.71/1.91 (define @t7430 () (=> tptp.descrp @t7413)) % 1.71/1.91 (define @t7431 () (and @t3545 @t3538 @t3534 @t3522)) % 1.71/1.91 (define @t7432 () (forall @t41 (not @t7431))) % 1.71/1.91 (define @t7433 () (not @t7432)) % 1.71/1.91 (define @t7434 () (@list @t3517)) % 1.71/1.91 (define @t7435 () (forall @t7434 @t3521)) % 1.71/1.91 (define @t7436 () (forall @t7434 @t3518)) % 1.71/1.91 (define @t7437 () (or @t3520 @t7436 @t3516)) % 1.71/1.91 (define @t7438 () (forall @t9 @t3513)) % 1.71/1.91 (define @t7439 () (or @t3520 @t7438 @t3516)) % 1.71/1.91 (define @t7440 () (not @t7438)) % 1.71/1.91 (define @t7441 () (and @t3519 @t7440)) % 1.71/1.91 (define @t7442 () (not @t109)) % 1.71/1.91 (define @t7443 () (not @t110)) % 1.71/1.91 (define @t7444 () (or @t7443 @t7442 @t3511 @t3507)) % 1.71/1.91 (define @t7445 () (and @t110 @t109 @t3510 @t3506)) % 1.71/1.91 (define @t7446 () (forall @t112 (not @t7445))) % 1.71/1.91 (define @t7447 () (not @t7446)) % 1.71/1.91 (define @t7448 () (or @t3500 @t3499)) % 1.71/1.91 (define @t7449 () (or @t3503 @t7448 @t3501)) % 1.71/1.91 (define @t7450 () (forall @t3505 @t7449)) % 1.71/1.91 (define @t7451 () (@list @t3498)) % 1.71/1.91 (define @t7452 () (forall @t7451 @t7449)) % 1.71/1.91 (define @t7453 () (forall @t7451 @t7448)) % 1.71/1.91 (define @t7454 () (or @t3503 @t7453 @t3501)) % 1.71/1.91 (define @t7455 () (tptp.in @t19 @t93)) % 1.71/1.91 (define @t7456 () (forall @t70 (or (not @t7455) @t3509))) % 1.71/1.91 (define @t7457 () (not @t100)) % 1.71/1.91 (define @t7458 () (or @t7457 @t7456 @t94)) % 1.71/1.91 (define @t7459 () (or @t7456 @t94)) % 1.71/1.91 (define @t7460 () (not @t97)) % 1.71/1.91 (define @t7461 () (or @t7460 @t96)) % 1.71/1.91 (define @t7462 () (not @t105)) % 1.71/1.91 (define @t7463 () (not @t96)) % 1.71/1.91 (define @t7464 () (or @t7463 @t7462)) % 1.71/1.91 (define @t7465 () (forall @t70 (not @t106))) % 1.71/1.91 (define @t7466 () (not @t7465)) % 1.71/1.91 (define @t7467 () (forall @t9 @t7442)) % 1.71/1.91 (define @t7468 () (not @t7467)) % 1.71/1.91 (define @t7469 () (or @t7442 @t7)) % 1.71/1.91 (define @t7470 () (or @t3526 @t3525)) % 1.71/1.91 (define @t7471 () (or @t3529 @t3528)) % 1.71/1.91 (define @t7472 () (or @t3531 @t3515 @t7471 @t7470)) % 1.71/1.91 (define @t7473 () (forall @t3533 @t7472)) % 1.71/1.91 (define @t7474 () (forall (@list @t3527 @t3524) @t7472)) % 1.71/1.91 (define @t7475 () (forall (@list @t3524) @t7470)) % 1.71/1.91 (define @t7476 () (forall (@list @t3527) @t7471)) % 1.71/1.91 (define @t7477 () (or @t3531 @t3515 @t7476 @t7475)) % 1.71/1.91 (define @t7478 () (tptp.in @t4 @t95)) % 1.71/1.91 (define @t7479 () (forall @t9 (or (not @t7478) @t3512))) % 1.71/1.91 (define @t7480 () (forall @t9 (or @t3513 @t7478))) % 1.71/1.91 (define @t7481 () (not @t124)) % 1.71/1.91 (define @t7482 () (or @t7481 @t7443 @t7480 @t7479)) % 1.71/1.91 (define @t7483 () (or @t7480 @t7479)) % 1.71/1.91 (define @t7484 () (not @t120)) % 1.71/1.91 (define @t7485 () (or @t7484 @t109)) % 1.71/1.91 (define @t7486 () (or @t7442 @t120)) % 1.71/1.91 (define @t7487 () (or @t197 @t3841 @t3537 @t129)) % 1.71/1.91 (define @t7488 () (=> @t3536 @t129)) % 1.71/1.91 (define @t7489 () (or @t7481 @t130)) % 1.71/1.91 (define @t7490 () (or @t3542 @t3541)) % 1.71/1.91 (define @t7491 () (or @t3531 @t7490)) % 1.71/1.91 (define @t7492 () (forall @t3544 @t7491)) % 1.71/1.91 (define @t7493 () (@list @t3540)) % 1.71/1.91 (define @t7494 () (forall @t7493 @t7491)) % 1.71/1.91 (define @t7495 () (forall @t7493 @t7490)) % 1.71/1.91 (define @t7496 () (or @t3531 @t7495)) % 1.71/1.91 (define @t7497 () (or @t7481 @t3519)) % 1.71/1.91 (define @t7498 () (=> tptp.wellorderingAx @t7430)) % 1.71/1.91 (define @t7499 () (@list @t3553)) % 1.71/1.91 (define @t7500 () (forall @t7499 @t3555)) % 1.71/1.91 (define @t7501 () (forall @t7499 @t3554)) % 1.71/1.91 (define @t7502 () (or @t7501 @t3552)) % 1.71/1.91 (define @t7503 () (or @t7288 @t3551)) % 1.71/1.91 (define @t7504 () (and @t39 @t3550)) % 1.71/1.91 (define @t7505 () (forall @t41 (not @t7504))) % 1.71/1.91 (define @t7506 () (not @t7505)) % 1.71/1.91 (define @t7507 () (or @t437 @t197)) % 1.71/1.91 (define @t7508 () (forall @t9 (not @t84))) % 1.71/1.91 (define @t7509 () (not @t7508)) % 1.71/1.91 (define @t7510 () (=> tptp.foundationAx @t7498)) % 1.71/1.91 (define @t7511 () (= @t6 @t3559)) % 1.71/1.91 (define @t7512 () (not @t68)) % 1.71/1.91 (define @t7513 () (or @t3841 @t7512)) % 1.71/1.91 (define @t7514 () (forall @t70 (not @t69))) % 1.71/1.91 (define @t7515 () (not @t7514)) % 1.71/1.91 (define @t7516 () (or @t197 @t3567)) % 1.71/1.91 (define @t7517 () (_ @t75 @t3562)) % 1.71/1.91 (define @t7518 () (not @t7517)) % 1.71/1.91 (define @t7519 () (or @t7518 @t3564)) % 1.71/1.91 (define @t7520 () (or @t4583 @t3563)) % 1.71/1.91 (define @t7521 () (_ @t77 @t19)) % 1.71/1.91 (define @t7522 () (not @t7521)) % 1.71/1.91 (define @t7523 () (or @t7522 @t3563)) % 1.71/1.91 (define @t7524 () (forall @t70 @t7523)) % 1.71/1.91 (define @t7525 () (not @t7524)) % 1.71/1.91 (define @t7526 () (_ @t77 @t3562)) % 1.71/1.91 (define @t7527 () (not @t7526)) % 1.71/1.91 (define @t7528 () (or @t7527 @t7525)) % 1.71/1.91 (define @t7529 () (forall @t3566 @t7528)) % 1.71/1.91 (define @t7530 () (not @t7529)) % 1.71/1.91 (define @t7531 () (not (_ @t143 @t3562))) % 1.71/1.91 (define @t7532 () (or @t3116 (= @t3562 @t19))) % 1.71/1.91 (define @t7533 () (forall @t70 @t7532)) % 1.71/1.91 (define @t7534 () (not @t7533)) % 1.71/1.91 (define @t7535 () (or @t7531 @t7534)) % 1.71/1.91 (define @t7536 () (forall @t3566 @t7535)) % 1.71/1.91 (define @t7537 () (not @t7536)) % 1.71/1.91 (define @t7538 () (=> @t7 (_ @t3888 @t77))) % 1.71/1.91 (define @t7539 () (forall @t9 @t7538)) % 1.71/1.91 (define @t7540 () (=> @t7539 @t74)) % 1.71/1.91 (define @t7541 () (forall @t81 @t7540)) % 1.71/1.91 (define @t7542 () (=> tptp.replAx @t7510)) % 1.71/1.91 (define @t7543 () (or @t3573 @t3572)) % 1.71/1.91 (define @t7544 () (or @t3581 @t3579 @t7543)) % 1.71/1.91 (define @t7545 () (forall @t3583 @t7544)) % 1.71/1.91 (define @t7546 () (@list @t3571)) % 1.71/1.91 (define @t7547 () (forall @t7546 @t7544)) % 1.71/1.91 (define @t7548 () (forall @t7546 @t7543)) % 1.71/1.91 (define @t7549 () (or @t3581 @t3579 @t7548)) % 1.71/1.91 (define @t7550 () (forall @t9 (or @t3577 @t2356))) % 1.71/1.91 (define @t7551 () (not @t61)) % 1.71/1.91 (define @t7552 () (or @t7551 @t3579 @t7550)) % 1.71/1.91 (define @t7553 () (and @t61 @t3578)) % 1.71/1.91 (define @t7554 () (not @t54)) % 1.71/1.91 (define @t7555 () (or @t7554 @t7)) % 1.71/1.91 (define @t7556 () (_ tptp.in @t3574)) % 1.71/1.91 (define @t7557 () (or @t7554 @t197 @t58)) % 1.71/1.91 (define @t7558 () (=> tptp.omegaIndAx @t7542)) % 1.71/1.91 (define @t7559 () (or @t7554 @t53)) % 1.71/1.91 (define @t7560 () (=> tptp.omegaSAx @t7558)) % 1.71/1.91 (define @t7561 () (=> tptp.omega0Ax @t7560)) % 1.71/1.91 (define @t7562 () (= @t44 @t3421)) % 1.71/1.91 (define @t7563 () (forall @t41 (not @t40))) % 1.71/1.91 (define @t7564 () (not @t7563)) % 1.71/1.91 (define @t7565 () (=> tptp.setunionAx @t7561)) % 1.71/1.91 (define @t7566 () (= @t35 @t3432)) % 1.71/1.91 (define @t7567 () (=> tptp.powersetAx @t7565)) % 1.71/1.91 (define @t7568 () (= @t26 @t7309)) % 1.71/1.91 (define @t7569 () (=> tptp.setadjoinAx @t7567)) % 1.71/1.91 (define @t7570 () (=> tptp.emptysetAx @t7569)) % 1.71/1.91 (define @t7571 () (=> tptp.setextAx @t7570)) % 1.71/1.91 (define @t7572 () (lambda @t2183 (forall @t9 (or @t437 (not (forall @t70 (or @t3841 (not (= @t4 (_ (_ @t900 @t2170) @t19)))))))))) % 1.71/1.91 (define @t7573 () (_ @t2166 @t7572)) % 1.71/1.91 (define @t7574 () (_ @t909 (_ @t2166 @t2184))) % 1.71/1.91 (define @t7575 () (not @t7574)) % 1.71/1.91 (define @t7576 () (or @t7575 @t910)) % 1.71/1.91 (define @t7577 () (tptp.ap @t2 @t1 @t882 @t19)) % 1.71/1.91 (define @t7578 () (not (forall @t70 (or @t2175 (not (= @t4 @t7577)))))) % 1.71/1.91 (define @t7579 () (forall @t9 (or @t2180 @t7578))) % 1.71/1.91 (define @t7580 () (lambda @t2164 @t7579)) % 1.71/1.91 (define @t7581 () (_ @t2166 @t7580)) % 1.71/1.91 (define @t7582 () (=> (_ @t909 @t7581) @t910)) % 1.71/1.91 (define @t7583 () (lambda @t41 @t7581)) % 1.71/1.91 (define @t7584 () (_ (lambda @t12 @t7581) @t2)) % 1.71/1.91 (define @t7585 () (=> (_ @t909 (_ @t7584 @t1)) @t910)) % 1.71/1.91 (define @t7586 () (forall @t891 @t7585)) % 1.71/1.91 (define @t7587 () (=> tptp.injFuncSetFuncInj @t7586)) % 1.71/1.91 (define @t7588 () (=> tptp.injFuncSetFuncIn @t7587)) % 1.71/1.91 (define @t7589 () (=> tptp.injFuncInInjFuncSet @t7588)) % 1.71/1.91 (define @t7590 () (=> tptp.image1I @t7589)) % 1.71/1.91 (define @t7591 () (=> tptp.image1E @t7590)) % 1.71/1.91 (define @t7592 () (=> tptp.image1Equiv @t7591)) % 1.71/1.91 (define @t7593 () (=> tptp.image1Ex1 @t7592)) % 1.71/1.91 (define @t7594 () (=> tptp.image1Ex @t7593)) % 1.71/1.91 (define @t7595 () (=> tptp.woz2B @t7594)) % 1.71/1.91 (define @t7596 () (=> tptp.woz2A @t7595)) % 1.71/1.91 (define @t7597 () (=> tptp.woz2W @t7596)) % 1.71/1.91 (define @t7598 () (=> tptp.woz2Ex @t7597)) % 1.71/1.91 (define @t7599 () (=> tptp.breln1unionCommutes @t7598)) % 1.71/1.91 (define @t7600 () (=> tptp.breln1unionEcases @t7599)) % 1.71/1.91 (define @t7601 () (=> tptp.breln1unionE @t7600)) % 1.71/1.91 (define @t7602 () (=> tptp.breln1unionI @t7601)) % 1.71/1.91 (define @t7603 () (=> tptp.breln1unionIR @t7602)) % 1.71/1.91 (define @t7604 () (=> tptp.breln1unionIL @t7603)) % 1.71/1.91 (define @t7605 () (=> tptp.breln1unionprop @t7604)) % 1.71/1.91 (define @t7606 () (=> tptp.breln1compEex @t7605)) % 1.71/1.91 (define @t7607 () (=> tptp.breln1compE @t7606)) % 1.71/1.91 (define @t7608 () (=> tptp.breln1compI @t7607)) % 1.71/1.91 (define @t7609 () (=> tptp.breln1compprop @t7608)) % 1.71/1.91 (define @t7610 () (=> tptp.breln1invE @t7609)) % 1.71/1.91 (define @t7611 () (=> tptp.breln1invI @t7610)) % 1.71/1.91 (define @t7612 () (=> tptp.breln1invprop @t7611)) % 1.71/1.91 (define @t7613 () (=> tptp.eqbreln1 @t7612)) % 1.71/1.91 (define @t7614 () (=> tptp.subbreln1 @t7613)) % 1.71/1.91 (define @t7615 () (=> tptp.breln1all1 @t7614)) % 1.71/1.91 (define @t7616 () (=> tptp.setOfPairsIsBReln1 @t7615)) % 1.71/1.91 (define @t7617 () (=> tptp.choice2fnsingleton @t7616)) % 1.71/1.91 (define @t7618 () (=> tptp.breln1SetBreln1 @t7617)) % 1.71/1.91 (define @t7619 () (=> tptp.breln1all2 @t7618)) % 1.71/1.91 (define @t7620 () (=> tptp.woz1_5 @t7619)) % 1.71/1.91 (define @t7621 () (=> tptp.woz1_4 @t7620)) % 1.71/1.91 (define @t7622 () (=> tptp.woz1_3 @t7621)) % 1.71/1.91 (define @t7623 () (=> tptp.woz1_2 @t7622)) % 1.71/1.91 (define @t7624 () (=> tptp.woz1_1 @t7623)) % 1.71/1.91 (define @t7625 () (=> tptp.woz13rule4 @t7624)) % 1.71/1.91 (define @t7626 () (=> tptp.woz13rule3 @t7625)) % 1.71/1.91 (define @t7627 () (=> tptp.woz13rule2 @t7626)) % 1.71/1.91 (define @t7628 () (=> tptp.woz13rule1 @t7627)) % 1.71/1.91 (define @t7629 () (=> tptp.woz13rule0 @t7628)) % 1.71/1.91 (define @t7630 () (=> tptp.demorgan2 @t7629)) % 1.71/1.91 (define @t7631 () (=> tptp.demorgan2b @t7630)) % 1.71/1.91 (define @t7632 () (=> tptp.demorgan2b2 @t7631)) % 1.71/1.91 (define @t7633 () (=> tptp.demorgan2a @t7632)) % 1.71/1.91 (define @t7634 () (=> tptp.demorgan1 @t7633)) % 1.71/1.91 (define @t7635 () (=> tptp.demorgan1b @t7634)) % 1.71/1.91 (define @t7636 () (=> tptp.demorgan1a @t7635)) % 1.71/1.91 (define @t7637 () (=> tptp.demorgan2a2 @t7636)) % 1.71/1.91 (define @t7638 () (=> tptp.complementUnionInPowersetComplement @t7637)) % 1.71/1.91 (define @t7639 () (=> tptp.demorgan2a1 @t7638)) % 1.71/1.91 (define @t7640 () (=> tptp.binunionTEcontra @t7639)) % 1.71/1.91 (define @t7641 () (=> tptp.binunionTE @t7640)) % 1.71/1.91 (define @t7642 () (=> tptp.inComplementUnionImpInComplement1 @t7641)) % 1.71/1.91 (define @t7643 () (=> tptp.inComplementUnionImpNotIn1 @t7642)) % 1.71/1.91 (define @t7644 () (=> tptp.intersectInPowersetIntersectUnions @t7643)) % 1.71/1.91 (define @t7645 () (=> tptp.inIntersectImpInIntersectUnions @t7644)) % 1.71/1.91 (define @t7646 () (=> tptp.inIntersectImpInUnion2 @t7645)) % 1.71/1.91 (define @t7647 () (=> tptp.inIntersectImpInUnion @t7646)) % 1.71/1.91 (define @t7648 () (=> tptp.binunionTIRcontra @t7647)) % 1.71/1.91 (define @t7649 () (=> tptp.binunionTILcontra @t7648)) % 1.71/1.91 (define @t7650 () (=> tptp.complementTcontraSubset @t7649)) % 1.71/1.91 (define @t7651 () (=> tptp.contraSubsetComplement @t7650)) % 1.71/1.91 (define @t7652 () (=> tptp.complementInPowersetComplementIntersect @t7651)) % 1.71/1.91 (define @t7653 () (=> tptp.complementSubsetComplementIntersect @t7652)) % 1.71/1.91 (define @t7654 () (=> tptp.complementImpComplementIntersect @t7653)) % 1.71/1.91 (define @t7655 () (=> tptp.complementTnotintersectT @t7654)) % 1.71/1.91 (define @t7656 () (=> tptp.doubleComplementEq @t7655)) % 1.71/1.91 (define @t7657 () (=> tptp.doubleComplementSub2 @t7656)) % 1.71/1.91 (define @t7658 () (=> tptp.doubleComplementSub1 @t7657)) % 1.71/1.91 (define @t7659 () (=> tptp.doubleComplementE1 @t7658)) % 1.71/1.91 (define @t7660 () (=> tptp.doubleComplementI1 @t7659)) % 1.71/1.91 (define @t7661 () (=> tptp.contrasubsetT3 @t7660)) % 1.71/1.91 (define @t7662 () (=> tptp.contrasubsetT2 @t7661)) % 1.71/1.91 (define @t7663 () (=> tptp.contrasubsetT1 @t7662)) % 1.71/1.91 (define @t7664 () (=> tptp.contrasubsetT @t7663)) % 1.71/1.91 (define @t7665 () (=> tptp.binintersectTERcontra @t7664)) % 1.71/1.91 (define @t7666 () (=> tptp.binintersectTELcontra @t7665)) % 1.71/1.91 (define @t7667 () (=> tptp.complementTE1 @t7666)) % 1.71/1.91 (define @t7668 () (=> tptp.complementTI1 @t7667)) % 1.71/1.91 (define @t7669 () (=> tptp.powersetTE1 @t7668)) % 1.71/1.91 (define @t7670 () (=> tptp.powersetTI1 @t7669)) % 1.71/1.91 (define @t7671 () (=> tptp.subsetTI @t7670)) % 1.71/1.91 (define @t7672 () (=> tptp.setextT @t7671)) % 1.71/1.91 (define @t7673 () (=> tptp.complementT_lem @t7672)) % 1.71/1.91 (define @t7674 () (=> tptp.setminusT_lem @t7673)) % 1.71/1.91 (define @t7675 () (=> tptp.powersetT_lem @t7674)) % 1.71/1.91 (define @t7676 () (=> tptp.binunionT_lem @t7675)) % 1.71/1.91 (define @t7677 () (=> tptp.binintersectT_lem @t7676)) % 1.71/1.91 (define @t7678 () (=> tptp.iftrueorfalse @t7677)) % 1.71/1.91 (define @t7679 () (=> tptp.iffalse @t7678)) % 1.71/1.91 (define @t7680 () (=> tptp.iftrue @t7679)) % 1.71/1.91 (define @t7681 () (=> tptp.theeq @t7680)) % 1.71/1.91 (define @t7682 () (=> tptp.ifp @t7681)) % 1.71/1.91 (define @t7683 () (=> tptp.ifSingleton @t7682)) % 1.71/1.91 (define @t7684 () (=> tptp.iftrueProp2 @t7683)) % 1.71/1.91 (define @t7685 () (=> tptp.iftrueProp1 @t7684)) % 1.71/1.91 (define @t7686 () (=> tptp.iffalseProp2 @t7685)) % 1.71/1.91 (define @t7687 () (=> tptp.iffalseProp1 @t7686)) % 1.71/1.91 (define @t7688 () (=> tptp.eta2 @t7687)) % 1.71/1.91 (define @t7689 () (=> tptp.beta2 @t7688)) % 1.71/1.91 (define @t7690 () (=> tptp.lam2lamEq @t7689)) % 1.71/1.91 (define @t7691 () (=> tptp.eta1 @t7690)) % 1.71/1.91 (define @t7692 () (=> tptp.beta1 @t7691)) % 1.71/1.91 (define @t7693 () (=> tptp.ap2apEq2 @t7692)) % 1.71/1.91 (define @t7694 () (=> tptp.ap2apEq1 @t7693)) % 1.71/1.91 (define @t7695 () (=> tptp.funcext2 @t7694)) % 1.71/1.91 (define @t7696 () (=> tptp.funcext @t7695)) % 1.71/1.91 (define @t7697 () (=> tptp.eqbreln @t7696)) % 1.71/1.91 (define @t7698 () (=> tptp.subbreln @t7697)) % 1.71/1.91 (define @t7699 () (=> tptp.funcGraphProp4 @t7698)) % 1.71/1.91 (define @t7700 () (=> tptp.funcextLem @t7699)) % 1.71/1.91 (define @t7701 () (=> tptp.funcGraphProp2 @t7700)) % 1.71/1.91 (define @t7702 () (=> tptp.funcGraphProp3 @t7701)) % 1.71/1.91 (define @t7703 () (=> tptp.funcGraphProp1 @t7702)) % 1.71/1.91 (define @t7704 () (=> tptp.ex1E2 @t7703)) % 1.71/1.91 (define @t7705 () (=> tptp.brelnall2 @t7704)) % 1.71/1.91 (define @t7706 () (=> tptp.brelnall1 @t7705)) % 1.71/1.91 (define @t7707 () (=> tptp.lam2p @t7706)) % 1.71/1.91 (define @t7708 () (=> tptp.lamp @t7707)) % 1.71/1.91 (define @t7709 () (=> tptp.lamProp @t7708)) % 1.71/1.91 (define @t7710 () (=> tptp.funcinfuncset @t7709)) % 1.71/1.91 (define @t7711 () (=> tptp.ap2p @t7710)) % 1.71/1.91 (define @t7712 () (=> tptp.infuncsetfunc @t7711)) % 1.71/1.91 (define @t7713 () (=> tptp.app @t7712)) % 1.71/1.91 (define @t7714 () (=> tptp.apProp @t7713)) % 1.71/1.91 (define @t7715 () (=> tptp.funcImageSingleton @t7714)) % 1.71/1.91 (define @t7716 () (=> tptp.dpsetconstrER @t7715)) % 1.71/1.91 (define @t7717 () (=> tptp.dpsetconstrEL2 @t7716)) % 1.71/1.91 (define @t7718 () (=> tptp.dpsetconstrEL1 @t7717)) % 1.71/1.91 (define @t7719 () (=> tptp.dpsetconstrERa @t7718)) % 1.71/1.91 (define @t7720 () (=> tptp.setOfPairsIsBReln @t7719)) % 1.71/1.91 (define @t7721 () (=> tptp.dpsetconstrSub @t7720)) % 1.71/1.91 (define @t7722 () (=> tptp.dpsetconstrI @t7721)) % 1.71/1.91 (define @t7723 () (=> tptp.cartprodpairsurjEq @t7722)) % 1.71/1.91 (define @t7724 () (=> tptp.cartprodsndpairEq @t7723)) % 1.71/1.91 (define @t7725 () (=> tptp.cartprodfstpairEq @t7724)) % 1.71/1.91 (define @t7726 () (=> tptp.cartprodmempaircEq @t7725)) % 1.71/1.91 (define @t7727 () (=> tptp.cartprodpairmemER @t7726)) % 1.71/1.91 (define @t7728 () (=> tptp.cartprodpairmemEL @t7727)) % 1.71/1.91 (define @t7729 () (=> tptp.cartprodsndin @t7728)) % 1.71/1.91 (define @t7730 () (=> tptp.kpairsurjEq @t7729)) % 1.71/1.91 (define @t7731 () (=> tptp.ksndpairEq @t7730)) % 1.71/1.91 (define @t7732 () (=> tptp.ksndsingleton @t7731)) % 1.71/1.91 (define @t7733 () (=> tptp.setukpairinjR @t7732)) % 1.71/1.91 (define @t7734 () (=> tptp.setukpairinjR2 @t7733)) % 1.71/1.91 (define @t7735 () (=> tptp.upairequniteq @t7734)) % 1.71/1.91 (define @t7736 () (=> tptp.setukpairinjR1 @t7735)) % 1.71/1.91 (define @t7737 () (=> tptp.setukpairinjR12 @t7736)) % 1.71/1.91 (define @t7738 () (=> tptp.setukpairinjR11 @t7737)) % 1.71/1.91 (define @t7739 () (=> tptp.setukpairinjL @t7738)) % 1.71/1.91 (define @t7740 () (=> tptp.setukpairinjL2 @t7739)) % 1.71/1.91 (define @t7741 () (=> tptp.cartprodfstin @t7740)) % 1.71/1.91 (define @t7742 () (=> tptp.kfstpairEq @t7741)) % 1.71/1.91 (define @t7743 () (=> tptp.theprop @t7742)) % 1.71/1.91 (define @t7744 () (=> tptp.kfstsingleton @t7743)) % 1.71/1.91 (define @t7745 () (=> tptp.setukpairinjL1 @t7744)) % 1.71/1.91 (define @t7746 () (=> tptp.singletonsuniq @t7745)) % 1.71/1.91 (define @t7747 () (=> tptp.ex1I2 @t7746)) % 1.71/1.91 (define @t7748 () (=> tptp.ex1I @t7747)) % 1.71/1.91 (define @t7749 () (=> tptp.ex1E1 @t7748)) % 1.71/1.91 (define @t7750 () (=> tptp.singletonprop @t7749)) % 1.71/1.91 (define @t7751 () (=> tptp.setunionsingleton @t7750)) % 1.71/1.91 (define @t7752 () (=> tptp.setunionsingleton2 @t7751)) % 1.71/1.91 (define @t7753 () (=> tptp.setunionsingleton1 @t7752)) % 1.71/1.91 (define @t7754 () (=> tptp.setunionE2 @t7753)) % 1.71/1.91 (define @t7755 () (=> tptp.cartprodmempair @t7754)) % 1.71/1.91 (define @t7756 () (=> tptp.cartprodmempair1 @t7755)) % 1.71/1.91 (define @t7757 () (=> tptp.cartprodpairin @t7756)) % 1.71/1.91 (define @t7758 () (=> tptp.ubforcartprodlem3 @t7757)) % 1.71/1.91 (define @t7759 () (=> tptp.ubforcartprodlem2 @t7758)) % 1.71/1.91 (define @t7760 () (=> tptp.ubforcartprodlem1 @t7759)) % 1.71/1.91 (define @t7761 () (=> tptp.upairinpowunion @t7760)) % 1.71/1.91 (define @t7762 () (=> tptp.upairsubunion @t7761)) % 1.71/1.91 (define @t7763 () (=> tptp.upairset2E @t7762)) % 1.71/1.91 (define @t7764 () (=> tptp.singletoninpowunion @t7763)) % 1.71/1.91 (define @t7765 () (=> tptp.singletoninpowerset @t7764)) % 1.71/1.91 (define @t7766 () (=> tptp.singletonsubset @t7765)) % 1.71/1.91 (define @t7767 () (=> tptp.kpairp @t7766)) % 1.71/1.91 (define @t7768 () (=> tptp.kpairiskpair @t7767)) % 1.71/1.91 (define @t7769 () (=> tptp.setukpairIR @t7768)) % 1.71/1.91 (define @t7770 () (=> tptp.setukpairIL @t7769)) % 1.71/1.91 (define @t7771 () (=> tptp.secondinupair @t7770)) % 1.71/1.91 (define @t7772 () (=> tptp.symdiffIneg2 @t7771)) % 1.71/1.91 (define @t7773 () (=> tptp.symdiffIneg1 @t7772)) % 1.71/1.91 (define @t7774 () (=> tptp.symdiffI2 @t7773)) % 1.71/1.91 (define @t7775 () (=> tptp.symdiffI1 @t7774)) % 1.71/1.91 (define @t7776 () (=> tptp.symdiffE @t7775)) % 1.71/1.91 (define @t7777 () (=> tptp.setminusSubset1 @t7776)) % 1.71/1.91 (define @t7778 () (=> tptp.setminusLsub @t7777)) % 1.71/1.91 (define @t7779 () (=> tptp.setminusIRneg @t7778)) % 1.71/1.91 (define @t7780 () (=> tptp.setminusILneg @t7779)) % 1.71/1.91 (define @t7781 () (=> tptp.setminusELneg @t7780)) % 1.71/1.91 (define @t7782 () (=> tptp.setminusERneg @t7781)) % 1.71/1.91 (define @t7783 () (=> tptp.setminusSubset2 @t7782)) % 1.71/1.91 (define @t7784 () (=> tptp.setminusER @t7783)) % 1.71/1.91 (define @t7785 () (=> tptp.setminusEL @t7784)) % 1.71/1.91 (define @t7786 () (=> tptp.setminusI @t7785)) % 1.71/1.91 (define @t7787 () (=> tptp.bs114d @t7786)) % 1.71/1.91 (define @t7788 () (=> tptp.binintersectSubset1 @t7787)) % 1.71/1.91 (define @t7789 () (=> tptp.binintersectSubset4 @t7788)) % 1.71/1.91 (define @t7790 () (=> tptp.binintersectRsub @t7789)) % 1.71/1.91 (define @t7791 () (=> tptp.disjointsetsI1 @t7790)) % 1.71/1.91 (define @t7792 () (=> tptp.binintersectER @t7791)) % 1.71/1.91 (define @t7793 () (=> tptp.binintersectSubset3 @t7792)) % 1.71/1.91 (define @t7794 () (=> tptp.binintersectSubset2 @t7793)) % 1.71/1.91 (define @t7795 () (=> tptp.binintersectLsub @t7794)) % 1.71/1.91 (define @t7796 () (=> tptp.binintersectEL @t7795)) % 1.71/1.91 (define @t7797 () (=> tptp.binintersectSubset5 @t7796)) % 1.71/1.91 (define @t7798 () (=> tptp.binintersectI @t7797)) % 1.71/1.91 (define @t7799 () (=> tptp.binunionRsub @t7798)) % 1.71/1.91 (define @t7800 () (=> tptp.binunionLsub @t7799)) % 1.71/1.91 (define @t7801 () (=> tptp.binunionE @t7800)) % 1.71/1.91 (define @t7802 () (=> tptp.binunionEcases @t7801)) % 1.71/1.91 (define @t7803 () (=> tptp.binunionIR @t7802)) % 1.71/1.91 (define @t7804 () (=> tptp.upairset2IR @t7803)) % 1.71/1.91 (define @t7805 () (=> tptp.binunionIL @t7804)) % 1.71/1.91 (define @t7806 () (=> tptp.sepSubset @t7805)) % 1.71/1.91 (define @t7807 () (=> tptp.sepInPowerset @t7806)) % 1.71/1.91 (define @t7808 () (=> tptp.powersetsubset @t7807)) % 1.71/1.91 (define @t7809 () (=> tptp.inPowerset @t7808)) % 1.71/1.91 (define @t7810 () (=> tptp.powersetE1 @t7809)) % 1.71/1.91 (define @t7811 () (=> tptp.powersetI1 @t7810)) % 1.71/1.91 (define @t7812 () (=> tptp.subsetemptysetimpeq @t7811)) % 1.71/1.91 (define @t7813 () (=> tptp.setextsub @t7812)) % 1.71/1.91 (define @t7814 () (=> tptp.subset2powerset @t7813)) % 1.71/1.91 (define @t7815 () (=> tptp.setadjoinSub2 @t7814)) % 1.71/1.91 (define @t7816 () (=> tptp.setadjoinSub @t7815)) % 1.71/1.91 (define @t7817 () (=> tptp.subsetTrans @t7816)) % 1.71/1.91 (define @t7818 () (=> tptp.subsetRefl @t7817)) % 1.71/1.91 (define @t7819 () (=> tptp.notequalI2 @t7818)) % 1.71/1.91 (define @t7820 () (=> tptp.notequalI1 @t7819)) % 1.71/1.91 (define @t7821 () (=> tptp.notsubsetI @t7820)) % 1.71/1.91 (define @t7822 () (=> tptp.subsetE2 @t7821)) % 1.71/1.91 (define @t7823 () (=> tptp.subsetE @t7822)) % 1.71/1.92 (define @t7824 () (=> tptp.emptysetsubset @t7823)) % 1.71/1.92 (define @t7825 () (=> tptp.subsetI2 @t7824)) % 1.71/1.92 (define @t7826 () (=> tptp.eqimpsubset1 @t7825)) % 1.71/1.92 (define @t7827 () (=> tptp.eqimpsubset2 @t7826)) % 1.71/1.92 (define @t7828 () (=> tptp.subsetI1 @t7827)) % 1.71/1.92 (define @t7829 () (=> tptp.dsetconstr__Cong @t7828)) % 1.71/1.92 (define @t7830 () (=> tptp.descr__Cong @t7829)) % 1.71/1.92 (define @t7831 () (=> tptp.exuEu @t7830)) % 1.71/1.92 (define @t7832 () (=> tptp.omega__Cong @t7831)) % 1.71/1.92 (define @t7833 () (=> tptp.setunion__Cong @t7832)) % 1.71/1.92 (define @t7834 () (=> tptp.powerset__Cong @t7833)) % 1.71/1.92 (define @t7835 () (=> tptp.setadjoin__Cong @t7834)) % 1.71/1.92 (define @t7836 () (=> tptp.emptyset__Cong @t7835)) % 1.71/1.92 (define @t7837 () (=> tptp.exu__Cong @t7836)) % 1.71/1.92 (define @t7838 () (=> tptp.exuE3u @t7837)) % 1.71/1.92 (define @t7839 () (=> tptp.in__Cong @t7838)) % 1.71/1.92 (define @t7840 () (=> tptp.inCongP @t7839)) % 1.71/1.92 (define @t7841 () (=> tptp.exuI2 @t7840)) % 1.71/1.92 (define @t7842 () (=> tptp.exuI3 @t7841)) % 1.71/1.92 (define @t7843 () (=> tptp.exuI1 @t7842)) % 1.71/1.92 (define @t7844 () (=> tptp.notdallE @t7843)) % 1.71/1.92 (define @t7845 () (=> tptp.notdexE @t7844)) % 1.71/1.92 (define @t7846 () (=> tptp.prop2set2propI @t7845)) % 1.71/1.92 (define @t7847 () (=> tptp.prop2setI @t7846)) % 1.71/1.92 (define @t7848 () (=> tptp.quantDeMorgan4 @t7847)) % 1.71/1.92 (define @t7849 () (=> tptp.quantDeMorgan3 @t7848)) % 1.71/1.92 (define @t7850 () (=> tptp.quantDeMorgan2 @t7849)) % 1.71/1.92 (define @t7851 () (=> tptp.quantDeMorgan1 @t7850)) % 1.71/1.92 (define @t7852 () (=> tptp.vacuousDall @t7851)) % 1.71/1.92 (define @t7853 () (=> tptp.emptyE1 @t7852)) % 1.71/1.92 (define @t7854 () (=> tptp.upairsetIR @t7853)) % 1.71/1.92 (define @t7855 () (=> tptp.upairsetIL @t7854)) % 1.71/1.92 (define @t7856 () (=> tptp.upairsetE @t7855)) % 1.71/1.92 (define @t7857 () (=> tptp.singletonsswitch @t7856)) % 1.71/1.92 (define @t7858 () (=> tptp.eqinunit @t7857)) % 1.71/1.92 (define @t7859 () (=> tptp.notinsingleton @t7858)) % 1.71/1.92 (define @t7860 () (=> tptp.uniqinunit @t7859)) % 1.71/1.92 (define @t7861 () (=> tptp.nonemptyImpWitness @t7860)) % 1.71/1.92 (define @t7862 () (=> tptp.exuE2 @t7861)) % 1.71/1.92 (define @t7863 () (=> tptp.subPowSU @t7862)) % 1.71/1.92 (define @t7864 () (=> tptp.setunionE @t7863)) % 1.71/1.92 (define @t7865 () (=> tptp.setunionI @t7864)) % 1.71/1.92 (define @t7866 () (=> tptp.powersetE @t7865)) % 1.71/1.92 (define @t7867 () (=> tptp.emptyInPowerset @t7866)) % 1.71/1.92 (define @t7868 () (=> tptp.emptyinPowerset @t7867)) % 1.71/1.92 (define @t7869 () (=> tptp.powersetI @t7868)) % 1.71/1.92 (define @t7870 () (=> tptp.setoftrueEq @t7869)) % 1.71/1.92 (define @t7871 () (=> tptp.setadjoinOr @t7870)) % 1.71/1.92 (define @t7872 () (=> tptp.setadjoinE @t7871)) % 1.71/1.92 (define @t7873 () (=> tptp.setadjoinIR @t7872)) % 1.71/1.92 (define @t7874 () (=> tptp.emptyinunitempty @t7873)) % 1.71/1.92 (define @t7875 () (=> tptp.setadjoinIL @t7874)) % 1.71/1.92 (define @t7876 () (=> tptp.nonemptyI1 @t7875)) % 1.71/1.92 (define @t7877 () (=> tptp.nonemptyI @t7876)) % 1.71/1.92 (define @t7878 () (=> tptp.nonemptyE1 @t7877)) % 1.71/1.92 (define @t7879 () (=> tptp.setbeta @t7878)) % 1.71/1.92 (define @t7880 () (=> tptp.noeltsimpempty @t7879)) % 1.71/1.92 (define @t7881 () (=> tptp.emptyI @t7880)) % 1.71/1.92 (define @t7882 () (=> tptp.setext @t7881)) % 1.71/1.92 (define @t7883 () (=> tptp.exuE3e @t7882)) % 1.71/1.92 (define @t7884 () (=> tptp.notinemptyset @t7883)) % 1.71/1.92 (define @t7885 () (=> tptp.emptysetimpfalse @t7884)) % 1.71/1.92 (define @t7886 () (=> tptp.emptysetE @t7885)) % 1.71/1.92 (define @t7887 () (=> tptp.prop2setE @t7886)) % 1.71/1.92 (define @t7888 () (=> tptp.exuE1 @t7887)) % 1.71/1.92 (define @t7889 () (=> tptp.dsetconstrER @t7888)) % 1.71/1.92 (define @t7890 () (=> tptp.dsetconstrEL @t7889)) % 1.71/1.92 (define @t7891 () (=> tptp.dsetconstrI @t7890)) % 1.71/1.92 (define @t7892 () (=> tptp.descrp @t7891)) % 1.71/1.92 (define @t7893 () (=> tptp.wellorderingAx @t7892)) % 1.71/1.92 (define @t7894 () (=> tptp.foundationAx @t7893)) % 1.71/1.92 (define @t7895 () (=> tptp.replAx @t7894)) % 1.71/1.92 (define @t7896 () (=> tptp.omegaIndAx @t7895)) % 1.71/1.92 (define @t7897 () (=> tptp.omegaSAx @t7896)) % 1.71/1.92 (define @t7898 () (=> tptp.omega0Ax @t7897)) % 1.71/1.92 (define @t7899 () (=> tptp.setunionAx @t7898)) % 1.71/1.92 (define @t7900 () (=> tptp.powersetAx @t7899)) % 1.71/1.92 (define @t7901 () (=> tptp.setadjoinAx @t7900)) % 1.71/1.92 (define @t7902 () (=> tptp.emptysetAx @t7901)) % 1.71/1.92 (define @t7903 () (=> tptp.setextAx @t7902)) % 1.71/1.92 (define @t7904 () (lambda (@list @t1 @t882) @t7579)) % 1.71/1.92 (define @t7905 () (_ (lambda @t891 @t7579) @t2)) % 1.71/1.92 (define @t7906 () (or @t437 @t7578)) % 1.71/1.92 (define @t7907 () (= @t4 @t2158)) % 1.71/1.92 (define @t7908 () (not @t7907)) % 1.71/1.92 (define @t7909 () (or @t3841 @t7908)) % 1.71/1.92 (define @t7910 () (and @t21 @t7907)) % 1.71/1.92 (define @t7911 () (forall @t70 (not @t7910))) % 1.71/1.92 (define @t7912 () (not @t7911)) % 1.71/1.92 (define @t7913 () (@quantifiers_skolemize @t2187 1)) % 1.71/1.92 (define @t7914 () (@quantifiers_skolemize @t2187 0)) % 1.71/1.92 (define @t7915 () (tptp.funcSet @t7914 @t7913)) % 1.71/1.92 (define @t7916 () (@quantifiers_skolemize @t2187 2)) % 1.71/1.92 (define @t7917 () (tptp.in @t7916 @t7915)) % 1.71/1.92 (define @t7918 () (lambda @t2183 (forall @t9 (or (not (tptp.in @t4 @t7913)) (not (forall @t70 (or (not (tptp.in @t19 @t7914)) (not (= @t4 (tptp.ap @t7914 @t7913 @t2170 @t19)))))))))) % 1.71/1.92 (define @t7919 () (@purify @t7918)) % 1.71/1.92 (define @t7920 () (or (not (tptp.in @t7916 (tptp.dsetconstr @t7915 @t7919))) @t7917)) % 1.71/1.92 (define @t7921 () (not @t7920)) % 1.71/1.92 (define @t7922 () (not @t2187)) % 1.71/1.92 (define @t7923 () (tptp.dsetconstr @t7915 @t7918)) % 1.71/1.92 (define @t7924 () (tptp.in @t7916 @t7923)) % 1.71/1.92 (define @t7925 () (not @t7924)) % 1.71/1.92 (define @t7926 () (or @t7925 @t7917)) % 1.71/1.92 (define @t7927 () (not @t7926)) % 1.71/1.92 (assume @p1 @t14) % 1.71/1.92 (assume @p2 @t18) % 1.71/1.92 (assume @p3 @t30) % 1.71/1.92 (assume @p4 @t38) % 1.71/1.92 (assume @p5 @t48) % 1.71/1.92 (assume @p6 (= tptp.omega0Ax @t50)) % 1.71/1.92 (assume @p7 @t56) % 1.71/1.92 (assume @p8 @t66) % 1.71/1.92 (assume @p9 @t83) % 1.71/1.92 (assume @p10 @t92) % 1.71/1.92 (assume @p11 @t142) % 1.71/1.92 (assume @p12 @t152) % 1.71/1.92 (assume @p13 @t161) % 1.71/1.92 (assume @p14 @t163) % 1.71/1.92 (assume @p15 @t165) % 1.71/1.92 (assume @p16 @t172) % 1.71/1.92 (assume @p17 @t178) % 1.71/1.92 (assume @p18 @t183) % 1.71/1.92 (assume @p19 @t185) % 1.71/1.92 (assume @p20 (= tptp.notinemptyset @t17)) % 1.71/1.92 (assume @p21 @t189) % 1.71/1.92 (assume @p22 @t195) % 1.71/1.92 (assume @p23 @t201) % 1.71/1.92 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.71/1.92 (assume @p25 @t204) % 1.71/1.92 (assume @p26 @t208) % 1.71/1.92 (assume @p27 @t212) % 1.71/1.92 (assume @p28 @t215) % 1.71/1.92 (assume @p29 @t219) % 1.71/1.92 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.71/1.92 (assume @p31 @t223) % 1.71/1.92 (assume @p32 @t231) % 1.71/1.92 (assume @p33 @t234) % 1.71/1.92 (assume @p34 @t238) % 1.71/1.92 (assume @p35 @t241) % 1.71/1.92 (assume @p36 @t244) % 1.71/1.92 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.71/1.92 (assume @p38 @t247) % 1.71/1.92 (assume @p39 @t251) % 1.71/1.92 (assume @p40 @t258) % 1.71/1.92 (assume @p41 @t262) % 1.71/1.92 (assume @p42 @t268) % 1.71/1.92 (assume @p43 @t273) % 1.71/1.92 (assume @p44 @t278) % 1.71/1.92 (assume @p45 @t284) % 1.71/1.92 (assume @p46 @t286) % 1.71/1.92 (assume @p47 @t288) % 1.71/1.92 (assume @p48 @t299) % 1.71/1.92 (assume @p49 @t302) % 1.71/1.92 (assume @p50 @t305) % 1.71/1.92 (assume @p51 @t313) % 1.71/1.92 (assume @p52 @t316) % 1.71/1.92 (assume @p53 @t324) % 1.71/1.92 (assume @p54 @t329) % 1.71/1.92 (assume @p55 @t332) % 1.71/1.92 (assume @p56 @t335) % 1.71/1.92 (assume @p57 @t338) % 1.71/1.92 (assume @p58 @t341) % 1.71/1.92 (assume @p59 (= tptp.notdexE @t331)) % 1.71/1.92 (assume @p60 (= tptp.notdallE @t323)) % 1.71/1.92 (assume @p61 @t344) % 1.71/1.92 (assume @p62 @t350) % 1.71/1.92 (assume @p63 @t353) % 1.71/1.92 (assume @p64 @t359) % 1.71/1.92 (assume @p65 @t364) % 1.71/1.92 (assume @p66 @t367) % 1.71/1.92 (assume @p67 @t380) % 1.71/1.92 (assume @p68 @t382) % 1.71/1.92 (assume @p69 @t392) % 1.71/1.92 (assume @p70 @t396) % 1.71/1.92 (assume @p71 @t400) % 1.71/1.92 (assume @p72 @t401) % 1.71/1.92 (assume @p73 @t402) % 1.71/1.92 (assume @p74 @t409) % 1.71/1.92 (assume @p75 @t420) % 1.71/1.92 (assume @p76 @t425) % 1.71/1.92 (assume @p77 @t429) % 1.71/1.92 (assume @p78 @t431) % 1.71/1.92 (assume @p79 (= tptp.subsetI2 @t424)) % 1.71/1.92 (assume @p80 @t434) % 1.71/1.92 (assume @p81 @t436) % 1.71/1.92 (assume @p82 @t440) % 1.71/1.92 (assume @p83 @t444) % 1.71/1.92 (assume @p84 @t447) % 1.71/1.92 (assume @p85 @t450) % 1.71/1.92 (assume @p86 @t453) % 1.71/1.92 (assume @p87 @t459) % 1.71/1.92 (assume @p88 @t463) % 1.71/1.92 (assume @p89 @t467) % 1.71/1.92 (assume @p90 @t471) % 1.71/1.92 (assume @p91 @t474) % 1.71/1.92 (assume @p92 @t477) % 1.71/1.92 (assume @p93 @t479) % 1.71/1.92 (assume @p94 @t481) % 1.71/1.92 (assume @p95 @t484) % 1.71/1.92 (assume @p96 @t487) % 1.71/1.92 (assume @p97 @t490) % 1.71/1.92 (assume @p98 @t493) % 1.71/1.92 (assume @p99 @t497) % 1.71/1.92 (assume @p100 (= tptp.upairset2IR @t304)) % 1.71/1.92 (assume @p101 @t499) % 1.71/1.92 (assume @p102 @t506) % 1.71/1.92 (assume @p103 @t509) % 1.71/1.92 (assume @p104 @t512) % 1.71/1.92 (assume @p105 @t515) % 1.71/1.92 (assume @p106 @t521) % 1.71/1.92 (assume @p107 @t528) % 1.71/1.92 (assume @p108 @t530) % 1.71/1.92 (assume @p109 @t534) % 1.71/1.92 (assume @p110 @t538) % 1.71/1.92 (assume @p111 @t542) % 1.71/1.92 (assume @p112 @t544) % 1.71/1.92 (assume @p113 @t550) % 1.71/1.92 (assume @p114 @t553) % 1.71/1.92 (assume @p115 @t556) % 1.71/1.92 (assume @p116 @t559) % 1.71/1.92 (assume @p117 @t566) % 1.71/1.92 (assume @p118 @t572) % 1.71/1.92 (assume @p119 @t574) % 1.71/1.92 (assume @p120 @t576) % 1.71/1.92 (assume @p121 @t580) % 1.71/1.92 (assume @p122 @t583) % 1.71/1.92 (assume @p123 @t585) % 1.71/1.92 (assume @p124 @t587) % 1.71/1.92 (assume @p125 @t589) % 1.71/1.92 (assume @p126 @t592) % 1.71/1.92 (assume @p127 @t595) % 1.71/1.92 (assume @p128 @t605) % 1.71/1.92 (assume @p129 @t608) % 1.71/1.92 (assume @p130 @t611) % 1.71/1.92 (assume @p131 @t615) % 1.71/1.92 (assume @p132 @t618) % 1.71/1.92 (assume @p133 (= tptp.secondinupair @t304)) % 1.71/1.92 (assume @p134 @t625) % 1.71/1.92 (assume @p135 @t628) % 1.71/1.92 (assume @p136 @t631) % 1.71/1.92 (assume @p137 @t636) % 1.71/1.92 (assume @p138 @t639) % 1.71/1.92 (assume @p139 @t643) % 1.71/1.92 (assume @p140 @t647) % 1.71/1.92 (assume @p141 (= tptp.upairset2E @t298)) % 1.71/1.92 (assume @p142 @t652) % 1.71/1.92 (assume @p143 @t657) % 1.71/1.92 (assume @p144 @t662) % 1.71/1.92 (assume @p145 @t668) % 1.71/1.92 (assume @p146 @t674) % 1.71/1.92 (assume @p147 @t680) % 1.71/1.92 (assume @p148 @t691) % 1.71/1.92 (assume @p149 @t694) % 1.71/1.92 (assume @p150 @t704) % 1.71/1.92 (assume @p151 @t709) % 1.71/1.92 (assume @p152 @t712) % 1.71/1.92 (assume @p153 @t715) % 1.71/1.92 (assume @p154 @t723) % 1.71/1.92 (assume @p155 @t728) % 1.71/1.92 (assume @p156 @t737) % 1.71/1.92 (assume @p157 @t741) % 1.71/1.92 (assume @p158 @t744) % 1.71/1.92 (assume @p159 @t750) % 1.71/1.92 (assume @p160 @t759) % 1.71/1.92 (assume @p161 @t764) % 1.71/1.92 (assume @p162 @t768) % 1.71/1.92 (assume @p163 @t772) % 1.71/1.92 (assume @p164 @t780) % 1.71/1.92 (assume @p165 @t785) % 1.71/1.92 (assume @p166 @t788) % 1.71/1.92 (assume @p167 @t792) % 1.71/1.92 (assume @p168 @t796) % 1.71/1.92 (assume @p169 @t799) % 1.71/1.92 (assume @p170 @t801) % 1.71/1.92 (assume @p171 @t803) % 1.71/1.92 (assume @p172 @t811) % 1.71/1.92 (assume @p173 @t815) % 1.71/1.92 (assume @p174 @t821) % 1.71/1.92 (assume @p175 @t824) % 1.71/1.92 (assume @p176 @t827) % 1.71/1.92 (assume @p177 @t829) % 1.71/1.92 (assume @p178 @t834) % 1.71/1.92 (assume @p179 @t839) % 1.71/1.92 (assume @p180 @t844) % 1.71/1.92 (assume @p181 @t847) % 1.71/1.92 (assume @p182 @t859) % 1.71/1.92 (assume @p183 @t865) % 1.71/1.92 (assume @p184 @t869) % 1.71/1.92 (assume @p185 @t874) % 1.71/1.92 (assume @p186 @t877) % 1.71/1.92 (assume @p187 @t879) % 1.71/1.92 (assume @p188 @t881) % 1.71/1.92 (assume @p189 @t893) % 1.71/1.92 (assume @p190 @t899) % 1.71/1.92 (assume @p191 @t907) % 1.71/1.92 (assume @p192 @t912) % 1.71/1.92 (assume @p193 @t915) % 1.71/1.92 (assume @p194 @t917) % 1.71/1.92 (assume @p195 @t926) % 1.71/1.92 (assume @p196 @t933) % 1.71/1.92 (assume @p197 @t937) % 1.71/1.92 (assume @p198 @t953) % 1.71/1.92 (assume @p199 (= tptp.brelnall2 @t952)) % 1.71/1.92 (assume @p200 @t956) % 1.71/1.92 (assume @p201 @t962) % 1.71/1.92 (assume @p202 @t965) % 1.71/1.92 (assume @p203 @t973) % 1.71/1.92 (assume @p204 @t990) % 1.71/1.92 (assume @p205 @t993) % 1.71/1.92 (assume @p206 @t1008) % 1.71/1.92 (assume @p207 @t1020) % 1.71/1.92 (assume @p208 @t1027) % 1.71/1.92 (assume @p209 @t1034) % 1.71/1.92 (assume @p210 @t1039) % 1.71/1.92 (assume @p211 @t1042) % 1.71/1.92 (assume @p212 @t1051) % 1.71/1.92 (assume @p213 @t1057) % 1.71/1.92 (assume @p214 @t1060) % 1.71/1.92 (assume @p215 (= tptp.beta2 @t1050)) % 1.71/1.92 (assume @p216 @t1063) % 1.71/1.92 (assume @p217 @t1077) % 1.71/1.92 (assume @p218 @t1084) % 1.71/1.92 (assume @p219 @t1090) % 1.71/1.92 (assume @p220 @t1097) % 1.71/1.92 (assume @p221 @t1102) % 1.71/1.92 (assume @p222 @t1109) % 1.71/1.92 (assume @p223 @t1114) % 1.71/1.92 (assume @p224 @t1120) % 1.71/1.92 (assume @p225 @t1126) % 1.71/1.92 (assume @p226 @t1131) % 1.71/1.92 (assume @p227 @t1144) % 1.71/1.92 (assume @p228 @t1151) % 1.71/1.92 (assume @p229 @t1156) % 1.71/1.92 (assume @p230 @t1162) % 1.71/1.92 (assume @p231 @t1167) % 1.71/1.92 (assume @p232 @t1180) % 1.71/1.92 (assume @p233 @t1188) % 1.71/1.92 (assume @p234 @t1196) % 1.71/1.92 (assume @p235 @t1203) % 1.71/1.92 (assume @p236 @t1210) % 1.71/1.92 (assume @p237 @t1215) % 1.71/1.92 (assume @p238 @t1225) % 1.71/1.92 (assume @p239 @t1233) % 1.71/1.92 (assume @p240 @t1243) % 1.71/1.92 (assume @p241 @t1251) % 1.71/1.92 (assume @p242 @t1257) % 1.71/1.92 (assume @p243 @t1262) % 1.71/1.92 (assume @p244 @t1269) % 1.71/1.92 (assume @p245 @t1274) % 1.71/1.92 (assume @p246 @t1277) % 1.71/1.92 (assume @p247 @t1280) % 1.71/1.92 (assume @p248 @t1283) % 1.71/1.92 (assume @p249 @t1290) % 1.71/1.92 (assume @p250 @t1299) % 1.71/1.92 (assume @p251 @t1304) % 1.71/1.92 (assume @p252 @t1310) % 1.71/1.92 (assume @p253 @t1318) % 1.71/1.92 (assume @p254 @t1325) % 1.71/1.92 (assume @p255 @t1334) % 1.71/1.92 (assume @p256 @t1341) % 1.71/1.92 (assume @p257 @t1356) % 1.71/1.92 (assume @p258 @t1367) % 1.71/1.92 (assume @p259 @t1378) % 1.71/1.92 (assume @p260 @t1386) % 1.71/1.92 (assume @p261 @t1395) % 1.71/1.92 (assume @p262 @t1402) % 1.71/1.92 (assume @p263 @t1413) % 1.71/1.92 (assume @p264 @t1421) % 1.71/1.92 (assume @p265 (= tptp.demorgan2a1 @t1401)) % 1.71/1.92 (assume @p266 @t1427) % 1.71/1.92 (assume @p267 @t1435) % 1.71/1.92 (assume @p268 @t1444) % 1.71/1.92 (assume @p269 @t1451) % 1.71/1.92 (assume @p270 @t1456) % 1.71/1.92 (assume @p271 @t1465) % 1.71/1.92 (assume @p272 @t1473) % 1.71/1.92 (assume @p273 @t1480) % 1.71/1.92 (assume @p274 @t1485) % 1.71/1.92 (assume @p275 @t1491) % 1.71/1.92 (assume @p276 @t1501) % 1.71/1.92 (assume @p277 @t1509) % 1.71/1.92 (assume @p278 @t1519) % 1.71/1.92 (assume @p279 @t1536) % 1.71/1.92 (assume @p280 (= tptp.woz1_1 @t1309)) % 1.71/1.92 (assume @p281 @t1552) % 1.71/1.92 (assume @p282 (= tptp.woz1_3 @t1385)) % 1.71/1.92 (assume @p283 (= tptp.woz1_4 @t1324)) % 1.71/1.92 (assume @p284 (= tptp.woz1_5 @t1426)) % 1.71/1.92 (assume @p285 @t1563) % 1.71/1.92 (assume @p286 @t1568) % 1.71/1.92 (assume @p287 @t1593) % 1.71/1.92 (assume @p288 @t1599) % 1.71/1.92 (assume @p289 (= tptp.breln1all1 @t1562)) % 1.71/1.92 (assume @p290 @t1609) % 1.71/1.92 (assume @p291 @t1619) % 1.71/1.92 (assume @p292 @t1624) % 1.71/1.92 (assume @p293 @t1633) % 1.71/1.92 (assume @p294 @t1640) % 1.71/1.92 (assume @p295 @t1648) % 1.71/1.92 (assume @p296 @t1666) % 1.71/1.92 (assume @p297 @t1678) % 1.71/1.92 (assume @p298 @t1693) % 1.71/1.92 (assume @p299 @t1699) % 1.71/1.92 (assume @p300 @t1709) % 1.71/1.92 (assume @p301 @t1718) % 1.71/1.92 (assume @p302 @t1728) % 1.71/1.92 (assume @p303 @t1737) % 1.71/1.92 (assume @p304 @t1751) % 1.71/1.92 (assume @p305 @t1757) % 1.71/1.92 (assume @p306 @t1761) % 1.71/1.92 (assume @p307 @t1769) % 1.71/1.92 (assume @p308 @t1783) % 1.71/1.92 (assume @p309 @t1797) % 1.71/1.92 (assume @p310 @t1806) % 1.71/1.92 (assume @p311 @t1809) % 1.71/1.92 (assume @p312 @t1815) % 1.71/1.92 (assume @p313 @t1818) % 1.71/1.92 (assume @p314 @t1821) % 1.71/1.92 (assume @p315 @t1827) % 1.71/1.92 (assume @p316 @t1829) % 1.71/1.92 (assume @p317 @t1835) % 1.71/1.92 (assume @p318 @t2155) % 1.71/1.92 (assume @p319 true) % 1.71/1.92 (step @p320 (= tptp.exu @t2156) :rule refl :args (@t2156)) % 1.71/1.92 (step @p321 (= tptp.nonempty @t2157) :rule refl :args (@t2157)) % 1.71/1.92 (step @p322 (= tptp.surjective @t2163) :rule refl :args (@t2163)) % 1.71/1.92 (step @p323 (= tptp.surjFuncSet @t2167) :rule refl :args (@t2167)) % 1.71/1.92 (step @p324 :rule refl :args (@t3367)) % 1.71/1.92 (step @p325 :rule skolem_intro :args ((@purify true))) % 1.71/1.92 (step @p326 :rule symm :premises (@p325)) % 1.71/1.92 (step @p327 :rule cong :premises (@p326) :args (@t3368)) % 1.71/1.92 (step @p328 :rule cong :premises (@p327) :args (@t3369)) % 1.71/1.92 (step @p329 :rule cong :premises (@p328 @p324) :args (@t3370)) % 1.71/1.92 (step @p330 :rule refl :args (tptp.emptyset)) % 1.71/1.92 (step @p331 :rule cong :premises (@p330 @p327) :args (@t3371)) % 1.71/1.92 (step @p332 :rule cong :premises (@p331 @p329) :args (@t3372)) % 1.71/1.92 (step @p333 :rule refl :args (@t3375)) % 1.71/1.92 (step @p334 :rule cong :premises (@p333 @p332) :args (@t3376)) % 1.71/1.92 (step @p335 :rule refl :args (@t3383)) % 1.71/1.92 (step @p336 :rule cong :premises (@p335 @p334) :args (@t3384)) % 1.71/1.92 (step @p337 :rule refl :args (@t3211)) % 1.71/1.92 (step @p338 :rule cong :premises (@p337 @p336) :args (@t3385)) % 1.71/1.92 (step @p339 :rule refl :args (@t3387)) % 1.71/1.92 (step @p340 :rule cong :premises (@p339 @p338) :args (@t3388)) % 1.71/1.92 (step @p341 :rule refl :args (@t3194)) % 1.71/1.92 (step @p342 :rule cong :premises (@p341 @p340) :args (@t3389)) % 1.71/1.92 (step @p343 :rule refl :args (@t3393)) % 1.71/1.92 (step @p344 :rule cong :premises (@p343 @p342) :args (@t3394)) % 1.71/1.92 (step @p345 :rule refl :args (@t3396)) % 1.71/1.92 (step @p346 :rule cong :premises (@p345 @p344) :args (@t3397)) % 1.71/1.92 (step @p347 :rule refl :args (@t3398)) % 1.71/1.92 (step @p348 :rule cong :premises (@p347 @p346) :args (@t3399)) % 1.71/1.92 (step @p349 :rule refl :args (@t3400)) % 1.71/1.92 (step @p350 :rule cong :premises (@p349 @p348) :args (@t3401)) % 1.71/1.92 (step @p351 :rule refl :args (@t3404)) % 1.71/1.92 (step @p352 :rule cong :premises (@p351 @p350) :args (@t3405)) % 1.71/1.92 (step @p353 :rule refl :args (@t3412)) % 1.71/1.92 (step @p354 :rule cong :premises (@p353 @p352) :args (@t3413)) % 1.71/1.92 (step @p355 :rule refl :args (@t3416)) % 1.71/1.92 (step @p356 :rule cong :premises (@p355 @p354) :args (@t3417)) % 1.71/1.92 (step @p357 :rule refl :args (@t3422)) % 1.71/1.92 (step @p358 :rule cong :premises (@p357 @p356) :args (@t3423)) % 1.71/1.92 (step @p359 :rule refl :args (@t3424)) % 1.71/1.92 (step @p360 :rule cong :premises (@p359 @p358) :args (@t3425)) % 1.71/1.92 (step @p361 :rule refl :args (@t3426)) % 1.71/1.92 (step @p362 :rule cong :premises (@p361 @p360) :args (@t3427)) % 1.71/1.92 (step @p363 :rule refl :args (@t3429)) % 1.71/1.92 (step @p364 :rule cong :premises (@p363 @p362) :args (@t3430)) % 1.71/1.92 (step @p365 :rule cong :premises (@p363 @p364) :args (@t3431)) % 1.71/1.92 (step @p366 :rule refl :args (@t3434)) % 1.71/1.92 (step @p367 :rule cong :premises (@p366 @p365) :args (@t3435)) % 1.71/1.92 (step @p368 :rule refl :args (@t3439)) % 1.71/1.92 (step @p369 :rule cong :premises (@p368 @p367) :args (@t3440)) % 1.71/1.92 (step @p370 :rule refl :args (@t3442)) % 1.71/1.92 (step @p371 :rule cong :premises (@p370 @p369) :args (@t3443)) % 1.71/1.92 (step @p372 :rule cong :premises (@p370 @p371) :args (@t3444)) % 1.71/1.92 (step @p373 :rule refl :args (@t3445)) % 1.71/1.92 (step @p374 :rule cong :premises (@p373 @p372) :args (@t3446)) % 1.71/1.92 (step @p375 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.71/1.92 (step @p376 :rule refl :args (@t3447)) % 1.71/1.92 (step @p377 :rule refl :args (tptp.emptyset)) % 1.71/1.92 (step @p378 :rule cong :premises (@p377 @p376) :args (@t3448)) % 1.71/1.92 (step @p379 :rule trans :premises (@p378 @p375)) % 1.71/1.92 (step @p380 :rule refl :args (@t49)) % 1.71/1.92 (step @p381 :rule ho_cong :premises (@p380 @p376)) % 1.71/1.92 (step @p382 :rule cong :premises (@p381 @p379) :args ((= (_ @t49 @t3447) @t3448))) % 1.71/1.92 (step @p383 :rule symm :premises (@p382)) % 1.71/1.92 (step @p384 :rule refl :args (@t221)) % 1.71/1.92 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 1.71/1.92 (step @p386 :rule refl :args (@t220)) % 1.71/1.92 (step @p387 :rule cong :premises (@p386 @p376) :args ((= @t220 @t3447))) % 1.71/1.92 (step @p388 :rule symm :premises (@p387)) % 1.71/1.92 (step @p389 :rule eq_resolve :premises (@p386 @p388)) % 1.71/1.92 (step @p390 :rule refl :args (@t49)) % 1.71/1.92 (step @p391 :rule ho_cong :premises (@p390 @p389)) % 1.71/1.92 (step @p392 :rule trans :premises (@p391 @p385)) % 1.71/1.92 (step @p393 :rule cong :premises (@p392 @p374) :args (@t3449)) % 1.71/1.92 (step @p394 :rule refl :args (@t3452)) % 1.71/1.92 (step @p395 :rule cong :premises (@p394 @p393) :args (@t3453)) % 1.71/1.92 (step @p396 :rule refl :args (@t3457)) % 1.71/1.92 (step @p397 :rule cong :premises (@p396 @p395) :args (@t3458)) % 1.71/1.92 (step @p398 :rule refl :args (@t3459)) % 1.71/1.92 (step @p399 :rule cong :premises (@p398 @p397) :args (@t3460)) % 1.71/1.92 (step @p400 :rule cong :premises (@p351 @p399) :args (@t3461)) % 1.71/1.92 (step @p401 :rule refl :args (@t3463)) % 1.71/1.92 (step @p402 :rule cong :premises (@p401 @p400) :args (@t3464)) % 1.71/1.92 (step @p403 :rule refl :args (@t3465)) % 1.71/1.92 (step @p404 :rule cong :premises (@p403 @p402) :args (@t3466)) % 1.71/1.92 (step @p405 :rule cong :premises (@p403 @p404) :args (@t3467)) % 1.71/1.92 (step @p406 :rule refl :args (@t3469)) % 1.71/1.92 (step @p407 :rule cong :premises (@p406 @p405) :args (@t3470)) % 1.71/1.92 (step @p408 :rule refl :args (@t3476)) % 1.71/1.92 (step @p409 :rule cong :premises (@p408 @p407) :args (@t3477)) % 1.71/1.92 (step @p410 :rule refl :args (@t3478)) % 1.71/1.92 (step @p411 :rule cong :premises (@p410 @p409) :args (@t3479)) % 1.71/1.92 (step @p412 :rule cong :premises (@p410 @p411) :args (@t3480)) % 1.71/1.92 (step @p413 :rule cong :premises (@p410 @p412) :args (@t3481)) % 1.71/1.92 (step @p414 :rule refl :args (@t3483)) % 1.71/1.92 (step @p415 :rule cong :premises (@p414 @p413) :args (@t3484)) % 1.71/1.92 (step @p416 :rule refl :args (@t3486)) % 1.71/1.92 (step @p417 :rule cong :premises (@p416 @p415) :args (@t3487)) % 1.71/1.92 (step @p418 :rule refl :args (@t3488)) % 1.71/1.92 (step @p419 :rule cong :premises (@p418 @p417) :args (@t3489)) % 1.71/1.92 (step @p420 :rule refl :args (@t3490)) % 1.71/1.92 (step @p421 :rule cong :premises (@p420 @p419) :args (@t3491)) % 1.71/1.92 (step @p422 :rule refl :args (@t3496)) % 1.71/1.92 (step @p423 :rule cong :premises (@p422 @p421) :args (@t3497)) % 1.71/1.92 (step @p424 :rule refl :args (@t3548)) % 1.71/1.92 (step @p425 :rule cong :premises (@p424 @p423) :args (@t3549)) % 1.71/1.92 (step @p426 :rule refl :args (@t3556)) % 1.71/1.92 (step @p427 :rule cong :premises (@p426 @p425) :args (@t3557)) % 1.71/1.92 (step @p428 :rule refl :args (@t3569)) % 1.71/1.92 (step @p429 :rule cong :premises (@p428 @p427) :args (@t3570)) % 1.71/1.92 (step @p430 :rule refl :args (@t3584)) % 1.71/1.92 (step @p431 :rule cong :premises (@p430 @p429) :args (@t3585)) % 1.71/1.92 (step @p432 :rule refl :args (@t3587)) % 1.71/1.92 (step @p433 :rule cong :premises (@p432 @p431) :args (@t3588)) % 1.71/1.92 (step @p434 :rule refl :args (@t3589)) % 1.71/1.92 (step @p435 :rule refl :args (@t50)) % 1.71/1.92 (step @p436 :rule cong :premises (@p435 @p434) :args ((= @t50 @t3589))) % 1.71/1.92 (step @p437 :rule symm :premises (@p436)) % 1.71/1.92 (step @p438 :rule eq_resolve :premises (@p435 @p437)) % 1.71/1.92 (step @p439 :rule cong :premises (@p438 @p433) :args (@t3590)) % 1.71/1.92 (step @p440 :rule refl :args (@t3591)) % 1.71/1.92 (step @p441 :rule cong :premises (@p440 @p439) :args (@t3592)) % 1.71/1.92 (step @p442 :rule refl :args (@t3593)) % 1.71/1.92 (step @p443 :rule cong :premises (@p442 @p441) :args (@t3594)) % 1.71/1.92 (step @p444 :rule refl :args (@t3596)) % 1.71/1.92 (step @p445 :rule cong :premises (@p444 @p443) :args (@t3597)) % 1.71/1.92 (step @p446 :rule cong :premises (@p410 @p445) :args (@t3598)) % 1.71/1.92 (step @p447 :rule refl :args (@t3600)) % 1.71/1.92 (step @p448 :rule cong :premises (@p447 @p446) :args (@t3601)) % 1.71/1.92 (step @p449 :rule cong :premises (@p448) :args ((not @t3601))) % 1.71/1.92 (step @p450 :rule bool-impl-true2 :args (@t2852)) % 1.71/1.92 (step @p451 :rule refl :args (@t2855)) % 1.71/1.92 (step @p452 :rule cong :premises (@p451 @p450) :args (@t3602)) % 1.71/1.92 (step @p453 :rule refl :args (@t2851)) % 1.71/1.92 (step @p454 :rule cong :premises (@p453 @p452) :args (@t3603)) % 1.71/1.92 (step @p455 :rule bool-impl-true2 :args (@t3603)) % 1.71/1.92 (step @p456 :rule trans :premises (@p455 @p454)) % 1.71/1.92 (step @p457 :rule bool-impl-true2 :args (@t3603)) % 1.71/1.92 (step @p458 :rule refl :args (true)) % 1.71/1.92 (step @p459 :rule cong :premises (@p458 @p457) :args (@t3604)) % 1.71/1.92 (step @p460 :rule trans :premises (@p459 @p456)) % 1.71/1.92 (step @p461 :rule refl :args (@t2862)) % 1.71/1.92 (step @p462 :rule cong :premises (@p461 @p460) :args (@t3605)) % 1.71/1.92 (step @p463 :rule refl :args (@t2869)) % 1.71/1.92 (step @p464 :rule cong :premises (@p463 @p462) :args (@t3606)) % 1.71/1.92 (step @p465 :rule refl :args (@t2889)) % 1.71/1.92 (step @p466 :rule cong :premises (@p465 @p464) :args (@t3607)) % 1.71/1.92 (step @p467 :rule refl :args (@t2896)) % 1.71/1.92 (step @p468 :rule cong :premises (@p467 @p466) :args (@t3608)) % 1.71/1.92 (step @p469 :rule refl :args (@t2904)) % 1.71/1.92 (step @p470 :rule cong :premises (@p469 @p468) :args (@t3609)) % 1.71/1.92 (step @p471 :rule refl :args (@t2917)) % 1.71/1.92 (step @p472 :rule cong :premises (@p471 @p470) :args (@t3610)) % 1.71/1.92 (step @p473 :rule refl :args (@t2925)) % 1.71/1.92 (step @p474 :rule cong :premises (@p473 @p472) :args (@t3611)) % 1.71/1.92 (step @p475 :rule refl :args (@t2931)) % 1.71/1.92 (step @p476 :rule cong :premises (@p475 @p474) :args (@t3612)) % 1.71/1.92 (step @p477 :rule refl :args (@t2937)) % 1.71/1.92 (step @p478 :rule cong :premises (@p477 @p476) :args (@t3613)) % 1.71/1.92 (step @p479 :rule refl :args (@t2949)) % 1.71/1.92 (step @p480 :rule cong :premises (@p479 @p478) :args (@t3614)) % 1.71/1.92 (step @p481 :rule refl :args (@t2962)) % 1.71/1.92 (step @p482 :rule cong :premises (@p481 @p480) :args (@t3615)) % 1.71/1.92 (step @p483 :rule cong :premises (@p481 @p482) :args (@t3616)) % 1.71/1.92 (step @p484 :rule refl :args (@t2963)) % 1.71/1.92 (step @p485 :rule cong :premises (@p484 @p483) :args (@t3617)) % 1.71/1.92 (step @p486 :rule refl :args (@t2964)) % 1.71/1.92 (step @p487 :rule cong :premises (@p486 @p485) :args (@t3618)) % 1.71/1.92 (step @p488 :rule refl :args (@t2969)) % 1.71/1.92 (step @p489 :rule cong :premises (@p488 @p487) :args (@t3619)) % 1.71/1.92 (step @p490 :rule refl :args (@t2970)) % 1.71/1.92 (step @p491 :rule cong :premises (@p490 @p489) :args (@t3620)) % 1.71/1.92 (step @p492 :rule refl :args (@t2976)) % 1.71/1.92 (step @p493 :rule cong :premises (@p492 @p491) :args (@t3621)) % 1.71/1.92 (step @p494 :rule refl :args (@t2977)) % 1.71/1.92 (step @p495 :rule cong :premises (@p494 @p493) :args (@t3622)) % 1.71/1.92 (step @p496 :rule refl :args (@t2983)) % 1.71/1.92 (step @p497 :rule cong :premises (@p496 @p495) :args (@t3623)) % 1.71/1.92 (step @p498 :rule refl :args (@t2989)) % 1.71/1.92 (step @p499 :rule cong :premises (@p498 @p497) :args (@t3624)) % 1.71/1.92 (step @p500 :rule refl :args (@t2995)) % 1.71/1.92 (step @p501 :rule cong :premises (@p500 @p499) :args (@t3625)) % 1.71/1.92 (step @p502 :rule refl :args (@t3000)) % 1.71/1.92 (step @p503 :rule cong :premises (@p502 @p501) :args (@t3626)) % 1.71/1.92 (step @p504 :rule refl :args (@t3001)) % 1.71/1.92 (step @p505 :rule cong :premises (@p504 @p503) :args (@t3627)) % 1.71/1.92 (step @p506 :rule refl :args (@t3002)) % 1.71/1.92 (step @p507 :rule cong :premises (@p506 @p505) :args (@t3628)) % 1.71/1.92 (step @p508 :rule refl :args (@t3009)) % 1.71/1.92 (step @p509 :rule cong :premises (@p508 @p507) :args (@t3629)) % 1.71/1.92 (step @p510 :rule refl :args (@t3010)) % 1.71/1.92 (step @p511 :rule cong :premises (@p510 @p509) :args (@t3630)) % 1.71/1.92 (step @p512 :rule refl :args (@t3012)) % 1.71/1.92 (step @p513 :rule cong :premises (@p512 @p511) :args (@t3631)) % 1.71/1.92 (step @p514 :rule refl :args (@t3019)) % 1.71/1.92 (step @p515 :rule cong :premises (@p514 @p513) :args (@t3632)) % 1.71/1.92 (step @p516 :rule refl :args (@t3026)) % 1.71/1.92 (step @p517 :rule cong :premises (@p516 @p515) :args (@t3633)) % 1.71/1.92 (step @p518 :rule refl :args (@t3032)) % 1.71/1.92 (step @p519 :rule cong :premises (@p518 @p517) :args (@t3634)) % 1.71/1.92 (step @p520 :rule refl :args (@t3038)) % 1.71/1.92 (step @p521 :rule cong :premises (@p520 @p519) :args (@t3635)) % 1.71/1.92 (step @p522 :rule bool-impl-true2 :args (@t3635)) % 1.71/1.92 (step @p523 :rule trans :premises (@p522 @p521)) % 1.71/1.92 (step @p524 :rule refl :args (@t3041)) % 1.71/1.92 (step @p525 :rule cong :premises (@p524 @p523) :args (@t3636)) % 1.71/1.92 (step @p526 :rule refl :args (@t3042)) % 1.71/1.92 (step @p527 :rule cong :premises (@p526 @p525) :args (@t3637)) % 1.71/1.92 (step @p528 :rule refl :args (@t3044)) % 1.71/1.92 (step @p529 :rule cong :premises (@p528 @p527) :args (@t3638)) % 1.71/1.92 (step @p530 :rule refl :args (@t3047)) % 1.71/1.92 (step @p531 :rule cong :premises (@p530 @p529) :args (@t3639)) % 1.71/1.92 (step @p532 :rule refl :args (@t3050)) % 1.71/1.92 (step @p533 :rule cong :premises (@p532 @p531) :args (@t3640)) % 1.71/1.92 (step @p534 :rule refl :args (@t3057)) % 1.71/1.92 (step @p535 :rule cong :premises (@p534 @p533) :args (@t3641)) % 1.71/1.92 (step @p536 :rule refl :args (@t3060)) % 1.71/1.92 (step @p537 :rule cong :premises (@p536 @p535) :args (@t3642)) % 1.71/1.92 (step @p538 :rule refl :args (@t3071)) % 1.71/1.92 (step @p539 :rule cong :premises (@p538 @p537) :args (@t3643)) % 1.71/1.92 (step @p540 :rule refl :args (@t3072)) % 1.71/1.92 (step @p541 :rule cong :premises (@p540 @p539) :args (@t3644)) % 1.71/1.92 (step @p542 :rule refl :args (@t3076)) % 1.71/1.92 (step @p543 :rule cong :premises (@p542 @p541) :args (@t3645)) % 1.71/1.92 (step @p544 :rule refl :args (@t3079)) % 1.71/1.92 (step @p545 :rule cong :premises (@p544 @p543) :args (@t3646)) % 1.71/1.92 (step @p546 :rule refl :args (@t3081)) % 1.71/1.92 (step @p547 :rule cong :premises (@p546 @p545) :args (@t3647)) % 1.71/1.92 (step @p548 :rule refl :args (@t3082)) % 1.71/1.92 (step @p549 :rule cong :premises (@p548 @p547) :args (@t3648)) % 1.71/1.92 (step @p550 :rule refl :args (@t3083)) % 1.71/1.92 (step @p551 :rule cong :premises (@p550 @p549) :args (@t3649)) % 1.71/1.92 (step @p552 :rule refl :args (@t3085)) % 1.71/1.92 (step @p553 :rule cong :premises (@p552 @p551) :args (@t3650)) % 1.71/1.92 (step @p554 :rule refl :args (@t3088)) % 1.71/1.92 (step @p555 :rule cong :premises (@p554 @p553) :args (@t3651)) % 1.71/1.92 (step @p556 :rule refl :args (@t3090)) % 1.71/1.92 (step @p557 :rule cong :premises (@p556 @p555) :args (@t3652)) % 1.71/1.92 (step @p558 :rule refl :args (@t3095)) % 1.71/1.92 (step @p559 :rule cong :premises (@p558 @p557) :args (@t3653)) % 1.71/1.92 (step @p560 :rule refl :args (@t3097)) % 1.71/1.92 (step @p561 :rule cong :premises (@p560 @p559) :args (@t3654)) % 1.71/1.92 (step @p562 :rule refl :args (@t3098)) % 1.71/1.92 (step @p563 :rule cong :premises (@p562 @p561) :args (@t3655)) % 1.71/1.92 (step @p564 :rule refl :args (@t3114)) % 1.71/1.92 (step @p565 :rule cong :premises (@p564 @p563) :args (@t3656)) % 1.71/1.92 (step @p566 :rule refl :args (@t3119)) % 1.71/1.92 (step @p567 :rule cong :premises (@p566 @p565) :args (@t3657)) % 1.71/1.92 (step @p568 :rule refl :args (@t3122)) % 1.71/1.92 (step @p569 :rule cong :premises (@p568 @p567) :args (@t3658)) % 1.71/1.92 (step @p570 :rule refl :args (@t3130)) % 1.71/1.92 (step @p571 :rule cong :premises (@p570 @p569) :args (@t3659)) % 1.71/1.92 (step @p572 :rule refl :args (@t3132)) % 1.71/1.92 (step @p573 :rule cong :premises (@p572 @p571) :args (@t3660)) % 1.71/1.92 (step @p574 :rule refl :args (@t3136)) % 1.71/1.92 (step @p575 :rule cong :premises (@p574 @p573) :args (@t3661)) % 1.71/1.92 (step @p576 :rule refl :args (@t3138)) % 1.71/1.92 (step @p577 :rule cong :premises (@p576 @p575) :args (@t3662)) % 1.71/1.92 (step @p578 :rule refl :args (@t3144)) % 1.71/1.92 (step @p579 :rule cong :premises (@p578 @p577) :args (@t3663)) % 1.71/1.92 (step @p580 :rule refl :args (@t3145)) % 1.71/1.92 (step @p581 :rule cong :premises (@p580 @p579) :args (@t3664)) % 1.71/1.92 (step @p582 :rule refl :args (@t3152)) % 1.71/1.92 (step @p583 :rule cong :premises (@p582 @p581) :args (@t3665)) % 1.71/1.92 (step @p584 :rule refl :args (@t3158)) % 1.71/1.92 (step @p585 :rule cong :premises (@p584 @p583) :args (@t3666)) % 1.71/1.92 (step @p586 :rule refl :args (@t3167)) % 1.71/1.92 (step @p587 :rule cong :premises (@p586 @p585) :args (@t3667)) % 1.71/1.92 (step @p588 :rule refl :args (@t3173)) % 1.71/1.92 (step @p589 :rule cong :premises (@p588 @p587) :args (@t3668)) % 1.71/1.92 (step @p590 :rule refl :args (@t3179)) % 1.71/1.92 (step @p591 :rule cong :premises (@p590 @p589) :args (@t3669)) % 1.71/1.92 (step @p592 :rule refl :args (@t3185)) % 1.71/1.92 (step @p593 :rule cong :premises (@p592 @p591) :args (@t3670)) % 1.71/1.92 (step @p594 :rule refl :args (@t3191)) % 1.71/1.92 (step @p595 :rule cong :premises (@p594 @p593) :args (@t3671)) % 1.71/1.92 (step @p596 :rule cong :premises (@p341 @p595) :args (@t3672)) % 1.71/1.92 (step @p597 :rule refl :args (@t3196)) % 1.71/1.92 (step @p598 :rule cong :premises (@p597 @p596) :args (@t3673)) % 1.71/1.92 (step @p599 :rule refl :args (@t3198)) % 1.71/1.92 (step @p600 :rule cong :premises (@p599 @p598) :args (@t3674)) % 1.71/1.92 (step @p601 :rule refl :args (@t3200)) % 1.71/1.92 (step @p602 :rule cong :premises (@p601 @p600) :args (@t3675)) % 1.71/1.92 (step @p603 :rule refl :args (@t3202)) % 1.71/1.92 (step @p604 :rule cong :premises (@p603 @p602) :args (@t3676)) % 1.71/1.92 (step @p605 :rule refl :args (@t3204)) % 1.71/1.92 (step @p606 :rule cong :premises (@p605 @p604) :args (@t3677)) % 1.71/1.92 (step @p607 :rule refl :args (@t3207)) % 1.71/1.92 (step @p608 :rule cong :premises (@p607 @p606) :args (@t3678)) % 1.71/1.92 (step @p609 :rule refl :args (@t3209)) % 1.71/1.92 (step @p610 :rule cong :premises (@p609 @p608) :args (@t3679)) % 1.71/1.92 (step @p611 :rule cong :premises (@p337 @p610) :args (@t3680)) % 1.71/1.92 (step @p612 :rule refl :args (@t3215)) % 1.71/1.92 (step @p613 :rule cong :premises (@p612 @p611) :args (@t3681)) % 1.71/1.92 (step @p614 :rule refl :args (@t3216)) % 1.71/1.92 (step @p615 :rule cong :premises (@p614 @p613) :args (@t3682)) % 1.71/1.92 (step @p616 :rule refl :args (@t3217)) % 1.71/1.92 (step @p617 :rule cong :premises (@p616 @p615) :args (@t3683)) % 1.71/1.92 (step @p618 :rule refl :args (@t3218)) % 1.71/1.92 (step @p619 :rule cong :premises (@p618 @p617) :args (@t3684)) % 1.71/1.92 (step @p620 :rule refl :args (@t3221)) % 1.71/1.92 (step @p621 :rule cong :premises (@p620 @p619) :args (@t3685)) % 1.71/1.92 (step @p622 :rule refl :args (@t3225)) % 1.71/1.92 (step @p623 :rule cong :premises (@p622 @p621) :args (@t3686)) % 1.71/1.92 (step @p624 :rule refl :args (@t3227)) % 1.71/1.92 (step @p625 :rule cong :premises (@p624 @p623) :args (@t3687)) % 1.71/1.92 (step @p626 :rule refl :args (@t3230)) % 1.71/1.92 (step @p627 :rule cong :premises (@p626 @p625) :args (@t3688)) % 1.71/1.92 (step @p628 :rule refl :args (@t3231)) % 1.71/1.92 (step @p629 :rule cong :premises (@p628 @p627) :args (@t3689)) % 1.71/1.92 (step @p630 :rule refl :args (@t3232)) % 1.71/1.92 (step @p631 :rule cong :premises (@p630 @p629) :args (@t3690)) % 1.71/1.92 (step @p632 :rule refl :args (@t3233)) % 1.71/1.92 (step @p633 :rule cong :premises (@p632 @p631) :args (@t3691)) % 1.71/1.92 (step @p634 :rule refl :args (@t3235)) % 1.71/1.92 (step @p635 :rule cong :premises (@p634 @p633) :args (@t3692)) % 1.71/1.92 (step @p636 :rule refl :args (@t3236)) % 1.71/1.92 (step @p637 :rule cong :premises (@p636 @p635) :args (@t3693)) % 1.71/1.92 (step @p638 :rule refl :args (@t3237)) % 1.71/1.92 (step @p639 :rule cong :premises (@p638 @p637) :args (@t3694)) % 1.71/1.92 (step @p640 :rule refl :args (@t3238)) % 1.71/1.92 (step @p641 :rule cong :premises (@p640 @p639) :args (@t3695)) % 1.71/1.92 (step @p642 :rule refl :args (@t3244)) % 1.71/1.92 (step @p643 :rule cong :premises (@p642 @p641) :args (@t3696)) % 1.71/1.92 (step @p644 :rule refl :args (@t3246)) % 1.71/1.92 (step @p645 :rule cong :premises (@p644 @p643) :args (@t3697)) % 1.71/1.92 (step @p646 :rule refl :args (@t3250)) % 1.71/1.92 (step @p647 :rule cong :premises (@p646 @p645) :args (@t3698)) % 1.71/1.92 (step @p648 :rule refl :args (@t3252)) % 1.71/1.92 (step @p649 :rule cong :premises (@p648 @p647) :args (@t3699)) % 1.71/1.92 (step @p650 :rule refl :args (@t3255)) % 1.71/1.92 (step @p651 :rule cong :premises (@p650 @p649) :args (@t3700)) % 1.71/1.92 (step @p652 :rule refl :args (@t3258)) % 1.71/1.92 (step @p653 :rule cong :premises (@p652 @p651) :args (@t3701)) % 1.71/1.92 (step @p654 :rule refl :args (@t3259)) % 1.71/1.92 (step @p655 :rule cong :premises (@p654 @p653) :args (@t3702)) % 1.71/1.92 (step @p656 :rule refl :args (@t3260)) % 1.71/1.92 (step @p657 :rule cong :premises (@p656 @p655) :args (@t3703)) % 1.71/1.92 (step @p658 :rule refl :args (@t3262)) % 1.71/1.92 (step @p659 :rule cong :premises (@p658 @p657) :args (@t3704)) % 1.71/1.92 (step @p660 :rule refl :args (@t3263)) % 1.71/1.92 (step @p661 :rule cong :premises (@p660 @p659) :args (@t3705)) % 1.71/1.92 (step @p662 :rule refl :args (@t3267)) % 1.71/1.92 (step @p663 :rule cong :premises (@p662 @p661) :args (@t3706)) % 1.71/1.92 (step @p664 :rule refl :args (@t3268)) % 1.71/1.92 (step @p665 :rule cong :premises (@p664 @p663) :args (@t3707)) % 1.71/1.92 (step @p666 :rule refl :args (@t3270)) % 1.71/1.92 (step @p667 :rule cong :premises (@p666 @p665) :args (@t3708)) % 1.71/1.92 (step @p668 :rule refl :args (@t3272)) % 1.71/1.92 (step @p669 :rule cong :premises (@p668 @p667) :args (@t3709)) % 1.71/1.92 (step @p670 :rule refl :args (@t3275)) % 1.71/1.92 (step @p671 :rule cong :premises (@p670 @p669) :args (@t3710)) % 1.71/1.92 (step @p672 :rule cong :premises (@p670 @p671) :args (@t3711)) % 1.71/1.92 (step @p673 :rule refl :args (@t3276)) % 1.71/1.92 (step @p674 :rule cong :premises (@p673 @p672) :args (@t3712)) % 1.71/1.92 (step @p675 :rule cong :premises (@p337 @p674) :args (@t3713)) % 1.71/1.92 (step @p676 :rule refl :args (@t3277)) % 1.71/1.92 (step @p677 :rule cong :premises (@p676 @p675) :args (@t3714)) % 1.71/1.92 (step @p678 :rule refl :args (@t3278)) % 1.71/1.92 (step @p679 :rule cong :premises (@p678 @p677) :args (@t3715)) % 1.71/1.92 (step @p680 :rule refl :args (@t3279)) % 1.71/1.92 (step @p681 :rule cong :premises (@p680 @p679) :args (@t3716)) % 1.71/1.92 (step @p682 :rule refl :args (@t3282)) % 1.71/1.92 (step @p683 :rule cong :premises (@p682 @p681) :args (@t3717)) % 1.71/1.92 (step @p684 :rule refl :args (@t3284)) % 1.71/1.92 (step @p685 :rule cong :premises (@p684 @p683) :args (@t3718)) % 1.71/1.92 (step @p686 :rule refl :args (@t3287)) % 1.71/1.92 (step @p687 :rule cong :premises (@p686 @p685) :args (@t3719)) % 1.71/1.92 (step @p688 :rule refl :args (@t3288)) % 1.71/1.92 (step @p689 :rule cong :premises (@p688 @p687) :args (@t3720)) % 1.71/1.92 (step @p690 :rule refl :args (@t3290)) % 1.71/1.92 (step @p691 :rule cong :premises (@p690 @p689) :args (@t3721)) % 1.71/1.92 (step @p692 :rule refl :args (@t3291)) % 1.71/1.92 (step @p693 :rule cong :premises (@p692 @p691) :args (@t3722)) % 1.71/1.92 (step @p694 :rule refl :args (@t3293)) % 1.71/1.92 (step @p695 :rule cong :premises (@p694 @p693) :args (@t3723)) % 1.71/1.92 (step @p696 :rule refl :args (@t3296)) % 1.71/1.92 (step @p697 :rule cong :premises (@p696 @p695) :args (@t3724)) % 1.71/1.92 (step @p698 :rule refl :args (@t3299)) % 1.71/1.92 (step @p699 :rule cong :premises (@p698 @p697) :args (@t3725)) % 1.71/1.92 (step @p700 :rule refl :args (@t3302)) % 1.71/1.92 (step @p701 :rule cong :premises (@p700 @p699) :args (@t3726)) % 1.71/1.92 (step @p702 :rule refl :args (@t3304)) % 1.71/1.92 (step @p703 :rule cong :premises (@p702 @p701) :args (@t3727)) % 1.71/1.92 (step @p704 :rule bool-impl-true2 :args (@t3727)) % 1.71/1.92 (step @p705 :rule trans :premises (@p704 @p703)) % 1.71/1.92 (step @p706 :rule refl :args (@t3306)) % 1.71/1.92 (step @p707 :rule cong :premises (@p706 @p705) :args (@t3728)) % 1.71/1.92 (step @p708 :rule refl :args (@t3307)) % 1.71/1.92 (step @p709 :rule cong :premises (@p708 @p707) :args (@t3729)) % 1.71/1.92 (step @p710 :rule refl :args (@t3308)) % 1.71/1.92 (step @p711 :rule cong :premises (@p710 @p709) :args (@t3730)) % 1.71/1.92 (step @p712 :rule refl :args (@t3309)) % 1.71/1.92 (step @p713 :rule cong :premises (@p712 @p711) :args (@t3731)) % 1.71/1.92 (step @p714 :rule refl :args (@t3311)) % 1.71/1.92 (step @p715 :rule cong :premises (@p714 @p713) :args (@t3732)) % 1.71/1.92 (step @p716 :rule refl :args (@t3314)) % 1.71/1.92 (step @p717 :rule cong :premises (@p716 @p715) :args (@t3733)) % 1.71/1.92 (step @p718 :rule cong :premises (@p706 @p717) :args (@t3734)) % 1.71/1.92 (step @p719 :rule cong :premises (@p706 @p718) :args (@t3735)) % 1.71/1.92 (step @p720 :rule cong :premises (@p716 @p719) :args (@t3736)) % 1.71/1.92 (step @p721 :rule refl :args (@t3325)) % 1.71/1.92 (step @p722 :rule cong :premises (@p721 @p720) :args (@t3737)) % 1.71/1.92 (step @p723 :rule refl :args (@t3338)) % 1.71/1.92 (step @p724 :rule cong :premises (@p723 @p722) :args (@t3738)) % 1.71/1.92 (step @p725 :rule refl :args (@t3347)) % 1.71/1.92 (step @p726 :rule cong :premises (@p725 @p724) :args (@t3739)) % 1.71/1.92 (step @p727 :rule bool-impl-true2 :args (@t3739)) % 1.71/1.92 (step @p728 :rule trans :premises (@p727 @p726)) % 1.71/1.92 (step @p729 :rule bool-impl-true2 :args (@t3739)) % 1.71/1.92 (step @p730 :rule cong :premises (@p458 @p729) :args (@t3740)) % 1.71/1.92 (step @p731 :rule trans :premises (@p730 @p728)) % 1.71/1.92 (step @p732 :rule cong :premises (@p458 @p729) :args (@t3740)) % 1.71/1.92 (step @p733 :rule cong :premises (@p458 @p732) :args (@t3741)) % 1.71/1.92 (step @p734 :rule trans :premises (@p733 @p731)) % 1.71/1.92 (step @p735 :rule cong :premises (@p458 @p732) :args (@t3741)) % 1.71/1.92 (step @p736 :rule cong :premises (@p458 @p735) :args (@t3742)) % 1.71/1.92 (step @p737 :rule trans :premises (@p736 @p734)) % 1.71/1.92 (step @p738 :rule cong :premises (@p458 @p735) :args (@t3742)) % 1.71/1.92 (step @p739 :rule cong :premises (@p458 @p738) :args (@t3743)) % 1.71/1.92 (step @p740 :rule trans :premises (@p739 @p737)) % 1.71/1.92 (step @p741 :rule refl :args (@t3357)) % 1.71/1.92 (step @p742 :rule cong :premises (@p741 @p740) :args (@t3744)) % 1.71/1.92 (step @p743 :rule cong :premises (@p725 @p742) :args (@t3745)) % 1.71/1.92 (step @p744 :rule bool-impl-true2 :args (@t3745)) % 1.71/1.92 (step @p745 :rule trans :premises (@p744 @p743)) % 1.71/1.92 (step @p746 :rule bool-impl-true2 :args (@t3745)) % 1.71/1.92 (step @p747 :rule cong :premises (@p458 @p746) :args (@t3746)) % 1.71/1.92 (step @p748 :rule trans :premises (@p747 @p745)) % 1.71/1.92 (step @p749 :rule refl :args (@t3360)) % 1.71/1.92 (step @p750 :rule cong :premises (@p749 @p748) :args (@t3747)) % 1.71/1.92 (step @p751 :rule refl :args (@t3366)) % 1.71/1.92 (step @p752 :rule cong :premises (@p751 @p750) :args (@t3748)) % 1.71/1.92 (step @p753 :rule bool-impl-true2 :args (@t3748)) % 1.71/1.92 (step @p754 :rule trans :premises (@p753 @p752)) % 1.71/1.92 (step @p755 :rule bool-impl-true2 :args (@t3748)) % 1.71/1.92 (step @p756 :rule cong :premises (@p458 @p755) :args (@t3749)) % 1.71/1.92 (step @p757 :rule trans :premises (@p756 @p754)) % 1.71/1.92 (step @p758 :rule cong :premises (@p458 @p755) :args (@t3749)) % 1.71/1.92 (step @p759 :rule cong :premises (@p458 @p758) :args (@t3750)) % 1.71/1.92 (step @p760 :rule trans :premises (@p759 @p757)) % 1.71/1.92 (step @p761 :rule refl :args (@t3369)) % 1.71/1.92 (step @p762 :rule cong :premises (@p761 @p760) :args (@t3751)) % 1.71/1.92 (step @p763 :rule refl :args (@t3371)) % 1.71/1.92 (step @p764 :rule cong :premises (@p763 @p762) :args (@t3752)) % 1.71/1.92 (step @p765 :rule bool-impl-true2 :args (@t3752)) % 1.71/1.92 (step @p766 :rule trans :premises (@p765 @p764)) % 1.71/1.92 (step @p767 :rule bool-impl-true2 :args (@t3752)) % 1.71/1.92 (step @p768 :rule cong :premises (@p458 @p767) :args (@t3753)) % 1.71/1.92 (step @p769 :rule trans :premises (@p768 @p766)) % 1.71/1.92 (step @p770 :rule cong :premises (@p458 @p767) :args (@t3753)) % 1.71/1.92 (step @p771 :rule cong :premises (@p458 @p770) :args (@t3754)) % 1.71/1.92 (step @p772 :rule trans :premises (@p771 @p769)) % 1.71/1.92 (step @p773 :rule cong :premises (@p458 @p770) :args (@t3754)) % 1.71/1.92 (step @p774 :rule cong :premises (@p458 @p773) :args (@t3755)) % 1.71/1.92 (step @p775 :rule trans :premises (@p774 @p772)) % 1.71/1.92 (step @p776 :rule cong :premises (@p333 @p775) :args (@t3756)) % 1.71/1.92 (step @p777 :rule cong :premises (@p335 @p776) :args (@t3757)) % 1.71/1.92 (step @p778 :rule cong :premises (@p337 @p777) :args (@t3758)) % 1.71/1.92 (step @p779 :rule cong :premises (@p339 @p778) :args (@t3759)) % 1.71/1.92 (step @p780 :rule cong :premises (@p341 @p779) :args (@t3760)) % 1.71/1.92 (step @p781 :rule cong :premises (@p343 @p780) :args (@t3761)) % 1.71/1.92 (step @p782 :rule cong :premises (@p345 @p781) :args (@t3762)) % 1.71/1.92 (step @p783 :rule cong :premises (@p347 @p782) :args (@t3763)) % 1.71/1.92 (step @p784 :rule cong :premises (@p349 @p783) :args (@t3764)) % 1.71/1.92 (step @p785 :rule cong :premises (@p351 @p784) :args (@t3765)) % 1.71/1.92 (step @p786 :rule cong :premises (@p353 @p785) :args (@t3766)) % 1.71/1.92 (step @p787 :rule cong :premises (@p355 @p786) :args (@t3767)) % 1.71/1.92 (step @p788 :rule cong :premises (@p357 @p787) :args (@t3768)) % 1.71/1.92 (step @p789 :rule cong :premises (@p359 @p788) :args (@t3769)) % 1.71/1.92 (step @p790 :rule cong :premises (@p361 @p789) :args (@t3770)) % 1.71/1.92 (step @p791 :rule cong :premises (@p363 @p790) :args (@t3771)) % 1.71/1.92 (step @p792 :rule cong :premises (@p363 @p791) :args (@t3772)) % 1.71/1.92 (step @p793 :rule cong :premises (@p366 @p792) :args (@t3773)) % 1.71/1.92 (step @p794 :rule cong :premises (@p368 @p793) :args (@t3774)) % 1.71/1.92 (step @p795 :rule cong :premises (@p370 @p794) :args (@t3775)) % 1.71/1.92 (step @p796 :rule cong :premises (@p370 @p795) :args (@t3776)) % 1.71/1.92 (step @p797 :rule cong :premises (@p373 @p796) :args (@t3777)) % 1.71/1.92 (step @p798 :rule refl :args (@t221)) % 1.71/1.92 (step @p799 :rule cong :premises (@p798 @p797) :args (@t3778)) % 1.71/1.92 (step @p800 :rule cong :premises (@p394 @p799) :args (@t3779)) % 1.71/1.92 (step @p801 :rule cong :premises (@p396 @p800) :args (@t3780)) % 1.71/1.92 (step @p802 :rule cong :premises (@p398 @p801) :args (@t3781)) % 1.71/1.92 (step @p803 :rule cong :premises (@p351 @p802) :args (@t3782)) % 1.71/1.92 (step @p804 :rule cong :premises (@p401 @p803) :args (@t3783)) % 1.71/1.92 (step @p805 :rule cong :premises (@p403 @p804) :args (@t3784)) % 1.71/1.92 (step @p806 :rule cong :premises (@p403 @p805) :args (@t3785)) % 1.71/1.92 (step @p807 :rule cong :premises (@p406 @p806) :args (@t3786)) % 1.71/1.92 (step @p808 :rule cong :premises (@p408 @p807) :args (@t3787)) % 1.71/1.92 (step @p809 :rule cong :premises (@p410 @p808) :args (@t3788)) % 1.71/1.92 (step @p810 :rule cong :premises (@p410 @p809) :args (@t3789)) % 1.71/1.92 (step @p811 :rule cong :premises (@p410 @p810) :args (@t3790)) % 1.71/1.92 (step @p812 :rule cong :premises (@p414 @p811) :args (@t3791)) % 1.71/1.92 (step @p813 :rule bool-impl-true2 :args (@t3791)) % 1.71/1.92 (step @p814 :rule trans :premises (@p813 @p812)) % 1.71/1.92 (step @p815 :rule cong :premises (@p416 @p814) :args (@t3792)) % 1.71/1.92 (step @p816 :rule cong :premises (@p418 @p815) :args (@t3793)) % 1.71/1.92 (step @p817 :rule cong :premises (@p420 @p816) :args (@t3794)) % 1.71/1.92 (step @p818 :rule cong :premises (@p422 @p817) :args (@t3795)) % 1.71/1.92 (step @p819 :rule cong :premises (@p424 @p818) :args (@t3796)) % 1.71/1.92 (step @p820 :rule cong :premises (@p426 @p819) :args (@t3797)) % 1.71/1.92 (step @p821 :rule cong :premises (@p428 @p820) :args (@t3798)) % 1.71/1.92 (step @p822 :rule cong :premises (@p430 @p821) :args (@t3799)) % 1.71/1.92 (step @p823 :rule cong :premises (@p432 @p822) :args (@t3800)) % 1.71/1.92 (step @p824 :rule refl :args (@t50)) % 1.71/1.92 (step @p825 :rule cong :premises (@p824 @p823) :args (@t3801)) % 1.71/1.92 (step @p826 :rule cong :premises (@p440 @p825) :args (@t3802)) % 1.71/1.92 (step @p827 :rule cong :premises (@p442 @p826) :args (@t3803)) % 1.71/1.92 (step @p828 :rule cong :premises (@p444 @p827) :args (@t3804)) % 1.71/1.92 (step @p829 :rule cong :premises (@p410 @p828) :args (@t3805)) % 1.71/1.92 (step @p830 :rule cong :premises (@p447 @p829) :args (@t3806)) % 1.71/1.92 (step @p831 :rule cong :premises (@p830) :args ((not @t3806))) % 1.71/1.92 (step @p832 :rule refl :args (@t2187)) % 1.71/1.92 (step @p833 :rule refl :args (@t2188)) % 1.71/1.92 (step @p834 :rule refl :args (@t1830)) % 1.71/1.92 (step @p835 :rule cong :premises (@p834 @p833) :args ((= @t1830 @t2188))) % 1.71/1.92 (step @p836 :rule symm :premises (@p835)) % 1.71/1.92 (step @p837 :rule eq_resolve :premises (@p834 @p836)) % 1.71/1.92 (step @p838 :rule refl :args ((tptp.in @t882 @t1831))) % 1.71/1.92 (step @p839 :rule refl :args (@t2189)) % 1.71/1.92 (step @p840 :rule refl :args (@t882)) % 1.71/1.92 (step @p841 :rule cong :premises (@p840 @p839) :args (@t2190)) % 1.71/1.92 (step @p842 :rule trans :premises (@p841 @p838)) % 1.71/1.92 (step @p843 :rule refl :args (@t909)) % 1.71/1.92 (step @p844 :rule ho_cong :premises (@p843 @p839)) % 1.71/1.92 (step @p845 :rule cong :premises (@p844 @p842) :args ((= (_ @t909 @t2189) @t2190))) % 1.71/1.92 (step @p846 :rule symm :premises (@p845)) % 1.71/1.92 (step @p847 :rule refl :args (@t1832)) % 1.71/1.92 (step @p848 :rule eq_resolve :premises (@p847 @p846)) % 1.71/1.92 (step @p849 :rule refl :args (@t1831)) % 1.71/1.92 (step @p850 :rule cong :premises (@p849 @p839) :args ((= @t1831 @t2189))) % 1.71/1.92 (step @p851 :rule symm :premises (@p850)) % 1.71/1.92 (step @p852 :rule eq_resolve :premises (@p849 @p851)) % 1.71/1.92 (step @p853 :rule ho_cong :premises (@p843 @p852)) % 1.71/1.92 (step @p854 :rule trans :premises (@p853 @p848)) % 1.71/1.92 (step @p855 :rule cong :premises (@p854) :args (@t3807)) % 1.71/1.92 (step @p856 :rule nary_cong :premises (@p855 @p837) :args (@t3808)) % 1.71/1.92 (step @p857 :rule cong :premises (@p856) :args ((forall @t1833 @t3808))) % 1.71/1.92 (step @p858 :rule bool-impl-elim :args (@t1832 @t1830)) % 1.71/1.92 (step @p859 :rule cong :premises (@p858) :args (@t1834)) % 1.71/1.92 (step @p860 :rule trans :premises (@p859 @p857)) % 1.71/1.92 (step @p861 :rule refl :args (tptp.injFuncSetFuncInj)) % 1.71/1.92 (step @p862 :rule cong :premises (@p861 @p860) :args (@t1835)) % 1.71/1.92 (step @p863 :rule eq_resolve :premises (@p317 @p862)) % 1.71/1.92 (step @p864 :rule cong :premises (@p863 @p832) :args (@t3809)) % 1.71/1.92 (step @p865 :rule refl :args ((tptp.in @t882 @t908))) % 1.71/1.92 (step @p866 :rule refl :args (@t2168)) % 1.71/1.92 (step @p867 :rule cong :premises (@p840 @p866) :args (@t2169)) % 1.71/1.92 (step @p868 :rule trans :premises (@p867 @p865)) % 1.71/1.92 (step @p869 :rule ho_cong :premises (@p843 @p866)) % 1.71/1.92 (step @p870 :rule cong :premises (@p869 @p868) :args ((= (_ @t909 @t2168) @t2169))) % 1.71/1.92 (step @p871 :rule symm :premises (@p870)) % 1.71/1.92 (step @p872 :rule refl :args (@t910)) % 1.71/1.92 (step @p873 :rule eq_resolve :premises (@p872 @p871)) % 1.71/1.92 (step @p874 :rule refl :args (@t908)) % 1.71/1.92 (step @p875 :rule cong :premises (@p874 @p866) :args ((= @t908 @t2168))) % 1.71/1.92 (step @p876 :rule symm :premises (@p875)) % 1.71/1.92 (step @p877 :rule eq_resolve :premises (@p874 @p876)) % 1.71/1.92 (step @p878 :rule ho_cong :premises (@p843 @p877)) % 1.71/1.92 (step @p879 :rule trans :premises (@p878 @p873)) % 1.71/1.92 (step @p880 :rule refl :args ((tptp.in @t882 @t1822))) % 1.71/1.92 (step @p881 :rule refl :args (@t2191)) % 1.71/1.92 (step @p882 :rule cong :premises (@p840 @p881) :args (@t2192)) % 1.71/1.92 (step @p883 :rule trans :premises (@p882 @p880)) % 1.71/1.92 (step @p884 :rule ho_cong :premises (@p843 @p881)) % 1.71/1.92 (step @p885 :rule cong :premises (@p884 @p883) :args ((= (_ @t909 @t2191) @t2192))) % 1.71/1.92 (step @p886 :rule symm :premises (@p885)) % 1.71/1.92 (step @p887 :rule refl :args (@t1823)) % 1.71/1.92 (step @p888 :rule eq_resolve :premises (@p887 @p886)) % 1.71/1.92 (step @p889 :rule refl :args (@t1822)) % 1.71/1.92 (step @p890 :rule cong :premises (@p889 @p881) :args ((= @t1822 @t2191))) % 1.71/1.92 (step @p891 :rule symm :premises (@p890)) % 1.71/1.92 (step @p892 :rule eq_resolve :premises (@p889 @p891)) % 1.71/1.92 (step @p893 :rule ho_cong :premises (@p843 @p892)) % 1.71/1.92 (step @p894 :rule trans :premises (@p893 @p888)) % 1.71/1.92 (step @p895 :rule cong :premises (@p894) :args (@t3810)) % 1.71/1.92 (step @p896 :rule nary_cong :premises (@p895 @p879) :args (@t3811)) % 1.71/1.92 (step @p897 :rule cong :premises (@p896) :args ((forall @t891 @t3811))) % 1.71/1.92 (step @p898 :rule bool-impl-elim :args (@t1823 @t910)) % 1.71/1.92 (step @p899 :rule cong :premises (@p898) :args (@t1828)) % 1.71/1.92 (step @p900 :rule trans :premises (@p899 @p897)) % 1.71/1.92 (step @p901 :rule refl :args (tptp.injFuncSetFuncIn)) % 1.71/1.92 (step @p902 :rule cong :premises (@p901 @p900) :args (@t1829)) % 1.71/1.92 (step @p903 :rule eq_resolve :premises (@p316 @p902)) % 1.71/1.92 (step @p904 :rule cong :premises (@p903 @p864) :args (@t3812)) % 1.71/1.92 (step @p905 :rule refl :args (@t2193)) % 1.71/1.92 (step @p906 :rule refl :args (@t1824)) % 1.71/1.92 (step @p907 :rule cong :premises (@p906 @p905) :args ((= @t1824 @t2193))) % 1.71/1.92 (step @p908 :rule symm :premises (@p907)) % 1.71/1.92 (step @p909 :rule eq_resolve :premises (@p906 @p908)) % 1.71/1.92 (step @p910 :rule cong :premises (@p909) :args (@t3813)) % 1.71/1.92 (step @p911 :rule cong :premises (@p879) :args (@t3814)) % 1.71/1.92 (step @p912 :rule nary_cong :premises (@p911 @p910 @p894) :args (@t3815)) % 1.71/1.92 (step @p913 :rule cong :premises (@p912) :args ((forall @t891 @t3815))) % 1.71/1.92 (step @p914 :rule aci_norm :args ((= (or @t3814 (or @t3813 @t1823)) @t3815))) % 1.71/1.92 (step @p915 :rule bool-impl-elim :args (@t1824 @t1823)) % 1.71/1.92 (step @p916 :rule refl :args (@t3814)) % 1.71/1.92 (step @p917 :rule nary_cong :premises (@p916 @p915) :args ((or @t3814 @t1825))) % 1.71/1.92 (step @p918 :rule trans :premises (@p917 @p914)) % 1.71/1.92 (step @p919 :rule bool-impl-elim :args (@t910 @t1825)) % 1.71/1.92 (step @p920 :rule trans :premises (@p919 @p918)) % 1.71/1.92 (step @p921 :rule cong :premises (@p920) :args (@t1826)) % 1.71/1.92 (step @p922 :rule trans :premises (@p921 @p913)) % 1.71/1.92 (step @p923 :rule refl :args (tptp.injFuncInInjFuncSet)) % 1.71/1.92 (step @p924 :rule cong :premises (@p923 @p922) :args (@t1827)) % 1.71/1.92 (step @p925 :rule eq_resolve :premises (@p315 @p924)) % 1.71/1.92 (step @p926 :rule cong :premises (@p925 @p904) :args (@t3816)) % 1.71/1.92 (step @p927 :rule aci_norm :args ((= (or @t2199 @t2196 false) @t2200))) % 1.71/1.92 (step @p928 :rule evaluate :args (@t3817)) % 1.71/1.92 (step @p929 :rule eq-refl :args (@t2198)) % 1.71/1.92 (step @p930 :rule cong :premises (@p929) :args (@t3818)) % 1.71/1.92 (step @p931 :rule trans :premises (@p930 @p928)) % 1.71/1.92 (step @p932 :rule refl :args (@t2196)) % 1.71/1.92 (step @p933 :rule refl :args (@t2199)) % 1.71/1.92 (step @p934 :rule nary_cong :premises (@p933 @p932 @p931) :args (@t3819)) % 1.71/1.92 (step @p935 :rule trans :premises (@p934 @p927)) % 1.71/1.92 (step @p936 :rule cong :premises (@p935) :args ((forall @t2201 @t3819))) % 1.71/1.92 (step @p937 :rule quant-var-elim-eq :args ((= (forall @t9 @t3821) @t3819))) % 1.71/1.92 (step @p938 :rule aci_norm :args ((= @t3822 @t3821))) % 1.71/1.92 (step @p939 :rule cong :premises (@p938) :args (@t3823)) % 1.71/1.92 (step @p940 :rule trans :premises (@p939 @p937)) % 1.71/1.92 (step @p941 :rule cong :premises (@p940) :args (@t3824)) % 1.71/1.92 (step @p942 :rule quant-merge-prenex :args ((= @t3824 @t3825))) % 1.71/1.92 (step @p943 :rule symm :premises (@p942)) % 1.71/1.92 (step @p944 :rule quant_var_reordering :args ((= (forall @t3826 @t3822) @t3825))) % 1.71/1.92 (step @p945 :rule trans :premises (@p944 @p943 @p941)) % 1.71/1.92 (step @p946 :rule trans :premises (@p945 @p936)) % 1.71/1.92 (step @p947 :rule aci_norm :args ((= @t3828 @t3822))) % 1.71/1.92 (step @p948 :rule cong :premises (@p947) :args (@t3829)) % 1.71/1.92 (step @p949 :rule trans :premises (@p948 @p946)) % 1.71/1.92 (step @p950 :rule quant-merge-prenex :args ((= (forall @t1813 @t3831) @t3829))) % 1.71/1.92 (step @p951 :rule refl :args (@t2205)) % 1.71/1.92 (step @p952 :rule alpha_equiv :args (@t3832 (@list @t2195) @t3833)) % 1.71/1.92 (step @p953 :rule nary_cong :premises (@p952 @p951) :args (@t3834)) % 1.71/1.92 (step @p954 :rule quant-miniscope-or :args ((= @t3831 @t3834))) % 1.71/1.92 (step @p955 :rule trans :premises (@p954 @p953)) % 1.71/1.92 (step @p956 :rule symm :premises (@p955)) % 1.71/1.92 (step @p957 :rule cong :premises (@p956) :args ((forall @t1813 (or @t2203 @t2205)))) % 1.71/1.92 (step @p958 :rule trans :premises (@p957 @p950)) % 1.71/1.92 (step @p959 :rule trans :premises (@p958 @p949)) % 1.71/1.92 (step @p960 :rule lambda-elim :args ((= @t3835 @t918))) % 1.71/1.92 (step @p961 :rule refl :args (@t2)) % 1.71/1.92 (step @p962 :rule cong :premises (@p961 @p960) :args (@t3836)) % 1.71/1.92 (step @p963 :rule refl :args (@t4)) % 1.71/1.92 (step @p964 :rule cong :premises (@p963 @p962) :args (@t3837)) % 1.71/1.92 (step @p965 :rule refl :args (@t2203)) % 1.71/1.92 (step @p966 :rule nary_cong :premises (@p965 @p964) :args (@t3838)) % 1.71/1.92 (step @p967 :rule cong :premises (@p966) :args ((forall @t1813 @t3838))) % 1.71/1.92 (step @p968 :rule trans :premises (@p967 @p959)) % 1.71/1.92 (step @p969 :rule refl :args ((tptp.in @t4 @t1811))) % 1.71/1.92 (step @p970 :rule refl :args ((tptp.image1 @t2 @t1044))) % 1.71/1.92 (step @p971 :rule refl :args (@t2202)) % 1.71/1.92 (step @p972 :rule cong :premises (@p971) :args (@t3835)) % 1.71/1.92 (step @p973 :rule refl :args (@t2)) % 1.71/1.92 (step @p974 :rule cong :premises (@p973 @p972) :args (@t3836)) % 1.71/1.92 (step @p975 :rule trans :premises (@p974 @p970)) % 1.71/1.92 (step @p976 :rule refl :args (@t4)) % 1.71/1.92 (step @p977 :rule cong :premises (@p976 @p975) :args (@t3837)) % 1.71/1.92 (step @p978 :rule trans :premises (@p977 @p969)) % 1.71/1.92 (step @p979 :rule refl :args (@t5)) % 1.71/1.92 (step @p980 :rule ho_cong :premises (@p979 @p975)) % 1.71/1.92 (step @p981 :rule cong :premises (@p980 @p978) :args ((= (_ @t5 @t3836) @t3837))) % 1.71/1.92 (step @p982 :rule symm :premises (@p981)) % 1.71/1.92 (step @p983 :rule refl :args (@t1812)) % 1.71/1.92 (step @p984 :rule eq_resolve :premises (@p983 @p982)) % 1.71/1.92 (step @p985 :rule refl :args (@t1810)) % 1.71/1.92 (step @p986 :rule ho_cong :premises (@p985 @p972)) % 1.71/1.92 (step @p987 :rule cong :premises (@p986 @p975) :args ((= (_ @t1810 @t3835) @t3836))) % 1.71/1.92 (step @p988 :rule symm :premises (@p987)) % 1.71/1.92 (step @p989 :rule refl :args (@t1811)) % 1.71/1.92 (step @p990 :rule eq_resolve :premises (@p989 @p988)) % 1.71/1.92 (step @p991 :rule refl :args (@t1043)) % 1.71/1.92 (step @p992 :rule cong :premises (@p991 @p971) :args ((= @t1043 @t2202))) % 1.71/1.92 (step @p993 :rule symm :premises (@p992)) % 1.71/1.92 (step @p994 :rule eq_resolve :premises (@p991 @p993)) % 1.71/1.92 (step @p995 :rule cong :premises (@p994) :args (@t1044)) % 1.71/1.92 (step @p996 :rule ho_cong :premises (@p985 @p995)) % 1.71/1.92 (step @p997 :rule trans :premises (@p996 @p990)) % 1.71/1.92 (step @p998 :rule ho_cong :premises (@p979 @p997)) % 1.71/1.92 (step @p999 :rule trans :premises (@p998 @p984)) % 1.71/1.92 (step @p1000 :rule refl :args (@t2203)) % 1.71/1.92 (step @p1001 :rule nary_cong :premises (@p1000 @p999) :args (@t3839)) % 1.71/1.92 (step @p1002 :rule cong :premises (@p1001) :args ((forall @t1813 @t3839))) % 1.71/1.92 (step @p1003 :rule trans :premises (@p1002 @p968)) % 1.71/1.92 (step @p1004 :rule bool-double-not-elim :args (@t2203)) % 1.71/1.92 (step @p1005 :rule nary_cong :premises (@p1004 @p983) :args ((or (not @t2204) @t1812))) % 1.71/1.92 (step @p1006 :rule bool-impl-elim :args (@t2204 @t1812)) % 1.71/1.92 (step @p1007 :rule trans :premises (@p1006 @p1005)) % 1.71/1.92 (step @p1008 :rule cong :premises (@p1007) :args ((forall @t1813 (=> @t2204 @t1812)))) % 1.71/1.92 (step @p1009 :rule trans :premises (@p1008 @p1003)) % 1.71/1.92 (step @p1010 :rule refl :args (@t1812)) % 1.71/1.92 (step @p1011 :rule cong :premises (@p976 @p994) :args (@t1798)) % 1.71/1.92 (step @p1012 :rule cong :premises (@p1011) :args (@t3840)) % 1.71/1.92 (step @p1013 :rule refl :args (@t2174)) % 1.71/1.92 (step @p1014 :rule refl :args (@t21)) % 1.71/1.92 (step @p1015 :rule cong :premises (@p1014 @p1013) :args ((= @t21 @t2174))) % 1.71/1.92 (step @p1016 :rule symm :premises (@p1015)) % 1.71/1.92 (step @p1017 :rule eq_resolve :premises (@p1014 @p1016)) % 1.71/1.92 (step @p1018 :rule cong :premises (@p1017) :args (@t3841)) % 1.71/1.92 (step @p1019 :rule nary_cong :premises (@p1018 @p1012) :args (@t3842)) % 1.71/1.92 (step @p1020 :rule cong :premises (@p1019) :args ((forall @t70 @t3842))) % 1.71/1.92 (step @p1021 :rule bool-and-de-morgan :args (@t21 @t1798 true)) % 1.71/1.92 (step @p1022 :rule cong :premises (@p1021) :args (@t3843)) % 1.71/1.92 (step @p1023 :rule trans :premises (@p1022 @p1020)) % 1.71/1.92 (step @p1024 :rule cong :premises (@p1023) :args (@t3844)) % 1.71/1.92 (step @p1025 :rule exists-elim :args ((= @t1800 @t3844))) % 1.71/1.92 (step @p1026 :rule trans :premises (@p1025 @p1024)) % 1.71/1.92 (step @p1027 :rule cong :premises (@p1026 @p1010) :args (@t1819)) % 1.71/1.92 (step @p1028 :rule cong :premises (@p1027) :args (@t1820)) % 1.71/1.92 (step @p1029 :rule trans :premises (@p1028 @p1009)) % 1.71/1.92 (step @p1030 :rule refl :args (tptp.image1I)) % 1.71/1.92 (step @p1031 :rule cong :premises (@p1030 @p1029) :args (@t1821)) % 1.71/1.92 (step @p1032 :rule eq_resolve :premises (@p314 @p1031)) % 1.71/1.92 (step @p1033 :rule cong :premises (@p1032 @p926) :args (@t3845)) % 1.71/1.92 (step @p1034 :rule refl :args (@t2204)) % 1.71/1.92 (step @p1035 :rule cong :premises (@p964) :args (@t3846)) % 1.71/1.92 (step @p1036 :rule nary_cong :premises (@p1035 @p1034) :args (@t3847)) % 1.71/1.92 (step @p1037 :rule cong :premises (@p1036) :args ((forall @t1813 @t3847))) % 1.71/1.92 (step @p1038 :rule refl :args (@t2204)) % 1.71/1.92 (step @p1039 :rule cong :premises (@p999) :args (@t3848)) % 1.71/1.92 (step @p1040 :rule nary_cong :premises (@p1039 @p1038) :args (@t3849)) % 1.71/1.92 (step @p1041 :rule cong :premises (@p1040) :args ((forall @t1813 @t3849))) % 1.71/1.92 (step @p1042 :rule trans :premises (@p1041 @p1037)) % 1.71/1.92 (step @p1043 :rule bool-impl-elim :args (@t1812 @t2204)) % 1.71/1.92 (step @p1044 :rule cong :premises (@p1043) :args ((forall @t1813 (=> @t1812 @t2204)))) % 1.71/1.92 (step @p1045 :rule trans :premises (@p1044 @p1042)) % 1.71/1.92 (step @p1046 :rule cong :premises (@p1010 @p1026) :args (@t1816)) % 1.71/1.92 (step @p1047 :rule cong :premises (@p1046) :args (@t1817)) % 1.71/1.92 (step @p1048 :rule trans :premises (@p1047 @p1045)) % 1.71/1.92 (step @p1049 :rule refl :args (tptp.image1E)) % 1.71/1.92 (step @p1050 :rule cong :premises (@p1049 @p1048) :args (@t1818)) % 1.71/1.92 (step @p1051 :rule eq_resolve :premises (@p313 @p1050)) % 1.71/1.92 (step @p1052 :rule cong :premises (@p1051 @p1033) :args (@t3850)) % 1.71/1.92 (step @p1053 :rule cong :premises (@p1034 @p964) :args ((= @t2204 @t3837))) % 1.71/1.92 (step @p1054 :rule eq-symm :args (@t3837 @t2204)) % 1.71/1.92 (step @p1055 :rule trans :premises (@p1054 @p1053)) % 1.71/1.92 (step @p1056 :rule cong :premises (@p1055) :args ((forall @t1813 (= @t3837 @t2204)))) % 1.71/1.92 (step @p1057 :rule cong :premises (@p999 @p1038) :args (@t3851)) % 1.71/1.92 (step @p1058 :rule cong :premises (@p1057) :args ((forall @t1813 @t3851))) % 1.71/1.92 (step @p1059 :rule trans :premises (@p1058 @p1056)) % 1.71/1.92 (step @p1060 :rule eq-symm :args (@t2204 @t1812)) % 1.71/1.92 (step @p1061 :rule cong :premises (@p1026 @p1010) :args ((= @t1800 @t1812))) % 1.71/1.92 (step @p1062 :rule trans :premises (@p1061 @p1060)) % 1.71/1.92 (step @p1063 :rule eq-symm :args (@t1812 @t1800)) % 1.71/1.92 (step @p1064 :rule trans :premises (@p1063 @p1062)) % 1.71/1.92 (step @p1065 :rule cong :premises (@p1064) :args (@t1814)) % 1.71/1.92 (step @p1066 :rule trans :premises (@p1065 @p1059)) % 1.71/1.92 (step @p1067 :rule refl :args (tptp.image1Equiv)) % 1.71/1.92 (step @p1068 :rule cong :premises (@p1067 @p1066) :args (@t1815)) % 1.71/1.92 (step @p1069 :rule eq_resolve :premises (@p312 @p1068)) % 1.71/1.92 (step @p1070 :rule cong :premises (@p1069 @p1052) :args (@t3852)) % 1.71/1.92 (step @p1071 :rule refl :args (@t129)) % 1.71/1.92 (step @p1072 :rule eq-symm :args (@t2211 @t2212)) % 1.71/1.92 (step @p1073 :rule refl :args (@t2212)) % 1.71/1.92 (step @p1074 :rule eq-symm :args (@t2206 @t2208)) % 1.71/1.92 (step @p1075 :rule cong :premises (@p1074) :args (@t3853)) % 1.71/1.92 (step @p1076 :rule refl :args (@t2209)) % 1.71/1.92 (step @p1077 :rule nary_cong :premises (@p1076 @p1075) :args (@t3854)) % 1.71/1.92 (step @p1078 :rule cong :premises (@p1077) :args (@t3855)) % 1.71/1.92 (step @p1079 :rule cong :premises (@p1078) :args (@t3856)) % 1.71/1.92 (step @p1080 :rule cong :premises (@p1079 @p1073) :args (@t3857)) % 1.71/1.92 (step @p1081 :rule trans :premises (@p1080 @p1072)) % 1.71/1.92 (step @p1082 :rule cong :premises (@p1081) :args (@t3858)) % 1.71/1.92 (step @p1083 :rule cong :premises (@p1082) :args (@t3859)) % 1.71/1.92 (step @p1084 :rule nary_cong :premises (@p1083 @p1071) :args (@t3860)) % 1.71/1.92 (step @p1085 :rule cong :premises (@p1084) :args (@t3861)) % 1.71/1.92 (step @p1086 :rule cong :premises (@p1085) :args (@t3862)) % 1.71/1.92 (step @p1087 :rule refl :args (@t2218)) % 1.71/1.92 (step @p1088 :rule nary_cong :premises (@p1087 @p1086) :args (@t3863)) % 1.71/1.92 (step @p1089 :rule cong :premises (@p1088) :args ((forall @t9 @t3863))) % 1.71/1.92 (step @p1090 :rule refl :args (@t129)) % 1.71/1.92 (step @p1091 :rule alpha_equiv :args (@t3866 @t3867 (@list @t2206))) % 1.71/1.92 (step @p1092 :rule cong :premises (@p1091) :args (@t3868)) % 1.71/1.92 (step @p1093 :rule nary_cong :premises (@p1092 @p1090) :args (@t3869)) % 1.71/1.92 (step @p1094 :rule cong :premises (@p1093) :args (@t3870)) % 1.71/1.92 (step @p1095 :rule cong :premises (@p1094) :args (@t3871)) % 1.71/1.92 (step @p1096 :rule refl :args (@t2218)) % 1.71/1.92 (step @p1097 :rule nary_cong :premises (@p1096 @p1095) :args (@t3872)) % 1.71/1.92 (step @p1098 :rule cong :premises (@p1097) :args ((forall @t9 @t3872))) % 1.71/1.92 (step @p1099 :rule trans :premises (@p1098 @p1089)) % 1.71/1.92 (step @p1100 :rule eq-symm :args (@t3864 @t3865)) % 1.71/1.92 (step @p1101 :rule cong :premises (@p1100) :args (@t3873)) % 1.71/1.92 (step @p1102 :rule beta-reduce :args ((= (_ (lambda @t41 (forall @t9 (= @t2179 @t3865))) @t19) @t3873))) % 1.71/1.92 (step @p1103 :rule trans :premises (@p1102 @p1101)) % 1.71/1.92 (step @p1104 :rule refl :args (@t19)) % 1.71/1.92 (step @p1105 :rule alpha_equiv :args (@t2203 @t3833 (@list @t2207))) % 1.71/1.92 (step @p1106 :rule cong :premises (@p1105) :args (@t2204)) % 1.71/1.92 (step @p1107 :rule refl :args (@t2179)) % 1.71/1.92 (step @p1108 :rule cong :premises (@p1107 @p1106) :args (@t2219)) % 1.71/1.92 (step @p1109 :rule cong :premises (@p1108) :args (@t2220)) % 1.71/1.92 (step @p1110 :rule cong :premises (@p1109) :args (@t3874)) % 1.71/1.92 (step @p1111 :rule ho_cong :premises (@p1110 @p1104)) % 1.71/1.92 (step @p1112 :rule trans :premises (@p1111 @p1103)) % 1.71/1.92 (step @p1113 :rule cong :premises (@p1112) :args (@t3875)) % 1.71/1.92 (step @p1114 :rule nary_cong :premises (@p1113 @p1071) :args (@t3876)) % 1.71/1.92 (step @p1115 :rule cong :premises (@p1114) :args (@t3877)) % 1.71/1.92 (step @p1116 :rule cong :premises (@p1115) :args (@t3878)) % 1.71/1.92 (step @p1117 :rule eq-symm :args (@t2215 @t2216)) % 1.71/1.92 (step @p1118 :rule refl :args (@t2216)) % 1.71/1.92 (step @p1119 :rule eq-symm :args (@t2214 @t2202)) % 1.71/1.92 (step @p1120 :rule cong :premises (@p1119) :args (@t3879)) % 1.71/1.92 (step @p1121 :rule refl :args (@t2175)) % 1.71/1.92 (step @p1122 :rule nary_cong :premises (@p1121 @p1120) :args (@t3880)) % 1.71/1.92 (step @p1123 :rule cong :premises (@p1122) :args (@t3881)) % 1.71/1.92 (step @p1124 :rule cong :premises (@p1123) :args (@t3882)) % 1.71/1.92 (step @p1125 :rule cong :premises (@p1124 @p1118) :args ((= @t3882 @t2216))) % 1.71/1.92 (step @p1126 :rule trans :premises (@p1125 @p1117)) % 1.71/1.92 (step @p1127 :rule eq-symm :args (@t2216 @t3882)) % 1.71/1.92 (step @p1128 :rule trans :premises (@p1127 @p1126)) % 1.71/1.92 (step @p1129 :rule cong :premises (@p1128) :args (@t3883)) % 1.71/1.92 (step @p1130 :rule beta-reduce :args ((= (_ (lambda @t41 (forall @t2217 (= (tptp.in @t2214 @t1) @t3882))) @t4) @t3883))) % 1.71/1.92 (step @p1131 :rule trans :premises (@p1130 @p1129)) % 1.71/1.92 (step @p1132 :rule alpha_equiv :args (@t2220 @t3867 (@list @t2214))) % 1.71/1.92 (step @p1133 :rule cong :premises (@p1132) :args (@t3874)) % 1.71/1.92 (step @p1134 :rule ho_cong :premises (@p1133 @p976)) % 1.71/1.92 (step @p1135 :rule trans :premises (@p1134 @p1131)) % 1.71/1.92 (step @p1136 :rule cong :premises (@p1135) :args (@t3884)) % 1.71/1.92 (step @p1137 :rule nary_cong :premises (@p1136 @p1116) :args (@t3885)) % 1.71/1.92 (step @p1138 :rule cong :premises (@p1137) :args (@t3886)) % 1.71/1.92 (step @p1139 :rule trans :premises (@p1138 @p1099)) % 1.71/1.92 (step @p1140 :rule cong :premises (@p1139) :args (@t3887)) % 1.71/1.92 (step @p1141 :rule beta-reduce :args ((= (_ @t3888 @t3874) @t3887))) % 1.71/1.92 (step @p1142 :rule trans :premises (@p1141 @p1140)) % 1.71/1.92 (step @p1143 :rule refl :args (@t2179)) % 1.71/1.92 (step @p1144 :rule refl :args (@t6)) % 1.71/1.92 (step @p1145 :rule cong :premises (@p1144 @p1143) :args ((= @t6 @t2179))) % 1.71/1.92 (step @p1146 :rule symm :premises (@p1145)) % 1.71/1.92 (step @p1147 :rule eq_resolve :premises (@p1144 @p1146)) % 1.71/1.92 (step @p1148 :rule cong :premises (@p1147 @p1038) :args (@t3889)) % 1.71/1.92 (step @p1149 :rule cong :premises (@p1148) :args ((forall @t9 @t3889))) % 1.71/1.92 (step @p1150 :rule refl :args (@t6)) % 1.71/1.92 (step @p1151 :rule cong :premises (@p1150 @p1026) :args (@t1801)) % 1.71/1.92 (step @p1152 :rule cong :premises (@p1151) :args (@t1802)) % 1.71/1.92 (step @p1153 :rule trans :premises (@p1152 @p1149)) % 1.71/1.92 (step @p1154 :rule cong :premises (@p1153) :args (@t1807)) % 1.71/1.92 (step @p1155 :rule refl :args (@t3888)) % 1.71/1.92 (step @p1156 :rule ho_cong :premises (@p1155 @p1154)) % 1.71/1.92 (step @p1157 :rule trans :premises (@p1156 @p1142)) % 1.71/1.92 (step @p1158 :rule cong :premises (@p1157) :args (@t3890)) % 1.71/1.92 (step @p1159 :rule refl :args (tptp.image1Ex1)) % 1.71/1.92 (step @p1160 :rule cong :premises (@p1159 @p1158) :args ((= tptp.image1Ex1 @t3890))) % 1.71/1.92 (step @p1161 :rule refl :args (@t1807)) % 1.71/1.92 (step @p1162 :rule refl :args (@t3353)) % 1.71/1.92 (step @p1163 :rule refl :args (@t3106)) % 1.71/1.92 (step @p1164 :rule refl :args (@t144)) % 1.71/1.92 (step @p1165 :rule cong :premises (@p1164 @p1163) :args ((= @t144 @t3106))) % 1.71/1.92 (step @p1166 :rule symm :premises (@p1165)) % 1.71/1.92 (step @p1167 :rule eq_resolve :premises (@p1164 @p1166)) % 1.71/1.92 (step @p1168 :rule cong :premises (@p1167) :args (@t317)) % 1.71/1.92 (step @p1169 :rule nary_cong :premises (@p1168 @p1162) :args (@t3891)) % 1.71/1.92 (step @p1170 :rule cong :premises (@p1169) :args ((forall @t9 @t3891))) % 1.71/1.92 (step @p1171 :rule bool-and-de-morgan :args (@t144 @t3352 true)) % 1.71/1.92 (step @p1172 :rule cong :premises (@p1171) :args (@t3893)) % 1.71/1.92 (step @p1173 :rule trans :premises (@p1172 @p1170)) % 1.71/1.92 (step @p1174 :rule cong :premises (@p1173) :args (@t3894)) % 1.71/1.92 (step @p1175 :rule exists-elim :args ((= (exists @t9 @t3892) @t3894))) % 1.71/1.92 (step @p1176 :rule trans :premises (@p1175 @p1174)) % 1.71/1.92 (step @p1177 :rule refl :args (@t3115)) % 1.71/1.92 (step @p1178 :rule refl :args (@t153)) % 1.71/1.92 (step @p1179 :rule cong :premises (@p1178 @p1177) :args ((= @t153 @t3115))) % 1.71/1.92 (step @p1180 :rule symm :premises (@p1179)) % 1.71/1.92 (step @p1181 :rule eq_resolve :premises (@p1178 @p1180)) % 1.71/1.92 (step @p1182 :rule cong :premises (@p1181) :args (@t3895)) % 1.71/1.92 (step @p1183 :rule nary_cong :premises (@p1182 @p1090) :args (@t3896)) % 1.71/1.92 (step @p1184 :rule cong :premises (@p1183) :args ((forall @t70 @t3896))) % 1.71/1.92 (step @p1185 :rule bool-impl-elim :args (@t153 @t129)) % 1.71/1.92 (step @p1186 :rule cong :premises (@p1185) :args (@t167)) % 1.71/1.92 (step @p1187 :rule trans :premises (@p1186 @p1184)) % 1.71/1.92 (step @p1188 :rule refl :args (@t144)) % 1.71/1.92 (step @p1189 :rule nary_cong :premises (@p1188 @p1187) :args (@t168)) % 1.71/1.92 (step @p1190 :rule cong :premises (@p1189) :args (@t169)) % 1.71/1.92 (step @p1191 :rule trans :premises (@p1190 @p1176)) % 1.71/1.92 (step @p1192 :rule cong :premises (@p1191) :args (@t2156)) % 1.71/1.92 (step @p1193 :rule trans :premises (@p320 @p1192)) % 1.71/1.92 (step @p1194 :rule ho_cong :premises (@p1193 @p1161)) % 1.71/1.92 (step @p1195 :rule cong :premises (@p1194) :args (@t1808)) % 1.71/1.92 (step @p1196 :rule cong :premises (@p1159 @p1195) :args (@t1809)) % 1.71/1.92 (step @p1197 :rule trans :premises (@p1196 @p1160)) % 1.71/1.92 (step @p1198 :rule eq_resolve :premises (@p311 @p1197)) % 1.71/1.92 (step @p1199 :rule cong :premises (@p1198 @p1070) :args (@t3897)) % 1.71/1.92 (step @p1200 :rule exists-elim :args ((= (exists @t41 @t2220) @t2221))) % 1.71/1.92 (step @p1201 :rule cong :premises (@p1153) :args (@t1803)) % 1.71/1.92 (step @p1202 :rule trans :premises (@p1201 @p1200)) % 1.71/1.92 (step @p1203 :rule cong :premises (@p1202) :args (@t1805)) % 1.71/1.92 (step @p1204 :rule refl :args (tptp.image1Ex)) % 1.71/1.92 (step @p1205 :rule cong :premises (@p1204 @p1203) :args (@t1806)) % 1.71/1.92 (step @p1206 :rule eq_resolve :premises (@p310 @p1205)) % 1.71/1.92 (step @p1207 :rule cong :premises (@p1206 @p1199) :args (@t3898)) % 1.71/1.92 (step @p1208 :rule aci_norm :args ((= @t3900 @t2231))) % 1.71/1.92 (step @p1209 :rule cong :premises (@p1208) :args (@t3901)) % 1.71/1.92 (step @p1210 :rule quant-merge-prenex :args ((= (forall @t1561 @t3903) @t3901))) % 1.71/1.92 (step @p1211 :rule alpha_equiv :args (@t3904 (@list @t2225 @t2223) (@list @t994 @t3905))) % 1.71/1.92 (step @p1212 :rule refl :args (@t2230)) % 1.71/1.92 (step @p1213 :rule nary_cong :premises (@p1212 @p1211) :args (@t3906)) % 1.71/1.92 (step @p1214 :rule quant-miniscope-or :args ((= @t3903 @t3906))) % 1.71/1.92 (step @p1215 :rule trans :premises (@p1214 @p1213)) % 1.71/1.92 (step @p1216 :rule symm :premises (@p1215)) % 1.71/1.92 (step @p1217 :rule cong :premises (@p1216) :args ((forall @t1561 (or @t2230 @t3916)))) % 1.71/1.92 (step @p1218 :rule trans :premises (@p1217 @p1210)) % 1.71/1.92 (step @p1219 :rule trans :premises (@p1218 @p1209)) % 1.71/1.92 (step @p1220 :rule refl :args (@t3916)) % 1.71/1.92 (step @p1221 :rule refl :args (@t2229)) % 1.71/1.92 (step @p1222 :rule refl :args (@t1559)) % 1.71/1.92 (step @p1223 :rule cong :premises (@p1222 @p1221) :args ((= @t1559 @t2229))) % 1.71/1.92 (step @p1224 :rule symm :premises (@p1223)) % 1.71/1.92 (step @p1225 :rule eq_resolve :premises (@p1222 @p1224)) % 1.71/1.92 (step @p1226 :rule cong :premises (@p1225) :args (@t3917)) % 1.71/1.92 (step @p1227 :rule nary_cong :premises (@p1226 @p1220) :args (@t3918)) % 1.71/1.92 (step @p1228 :rule cong :premises (@p1227) :args ((forall @t1561 @t3918))) % 1.71/1.92 (step @p1229 :rule trans :premises (@p1228 @p1219)) % 1.71/1.92 (step @p1230 :rule bool-impl-elim :args (@t1559 @t3916)) % 1.71/1.92 (step @p1231 :rule cong :premises (@p1230) :args ((forall @t1561 (=> @t1559 @t3916)))) % 1.71/1.92 (step @p1232 :rule trans :premises (@p1231 @p1229)) % 1.71/1.92 (step @p1233 :rule aci_norm :args ((= @t3920 @t3914))) % 1.71/1.92 (step @p1234 :rule cong :premises (@p1233) :args (@t3921)) % 1.71/1.92 (step @p1235 :rule quant-merge-prenex :args ((= (forall @t1004 @t3923) @t3921))) % 1.71/1.92 (step @p1236 :rule alpha_equiv :args (@t3924 (@list @t3905) @t3925)) % 1.71/1.92 (step @p1237 :rule refl :args (@t3913)) % 1.71/1.92 (step @p1238 :rule nary_cong :premises (@p1237 @p1236) :args (@t3926)) % 1.71/1.92 (step @p1239 :rule quant-miniscope-or :args ((= @t3923 @t3926))) % 1.71/1.92 (step @p1240 :rule trans :premises (@p1239 @p1238)) % 1.71/1.92 (step @p1241 :rule symm :premises (@p1240)) % 1.71/1.92 (step @p1242 :rule cong :premises (@p1241) :args ((forall @t1004 (or @t3913 @t3936)))) % 1.71/1.92 (step @p1243 :rule trans :premises (@p1242 @p1235)) % 1.71/1.92 (step @p1244 :rule trans :premises (@p1243 @p1234)) % 1.71/1.92 (step @p1245 :rule refl :args (@t3936)) % 1.71/1.92 (step @p1246 :rule refl :args (@t3912)) % 1.71/1.92 (step @p1247 :rule refl :args (@t1604)) % 1.71/1.92 (step @p1248 :rule cong :premises (@p1247 @p1246) :args ((= @t1604 @t3912))) % 1.71/1.92 (step @p1249 :rule symm :premises (@p1248)) % 1.71/1.92 (step @p1250 :rule eq_resolve :premises (@p1247 @p1249)) % 1.71/1.92 (step @p1251 :rule cong :premises (@p1250) :args (@t3937)) % 1.71/1.92 (step @p1252 :rule nary_cong :premises (@p1251 @p1245) :args (@t3938)) % 1.71/1.92 (step @p1253 :rule cong :premises (@p1252) :args ((forall @t1004 @t3938))) % 1.71/1.92 (step @p1254 :rule trans :premises (@p1253 @p1244)) % 1.71/1.92 (step @p1255 :rule bool-impl-elim :args (@t1604 @t3936)) % 1.71/1.92 (step @p1256 :rule cong :premises (@p1255) :args ((forall @t1004 (=> @t1604 @t3936)))) % 1.71/1.92 (step @p1257 :rule trans :premises (@p1256 @p1254)) % 1.71/1.92 (step @p1258 :rule refl :args ((tptp.binunion @t1789 @t1787))) % 1.71/1.92 (step @p1259 :rule refl :args ((tptp.breln1invset @t2 @t1786))) % 1.71/1.92 (step @p1260 :rule refl :args ((tptp.breln1compset @t2 @t1784 @t1621))) % 1.71/1.92 (step @p1261 :rule refl :args (@t2222)) % 1.71/1.92 (step @p1262 :rule refl :args (@t3927)) % 1.71/1.92 (step @p1263 :rule cong :premises (@p973 @p1262 @p1261) :args (@t3928)) % 1.71/1.92 (step @p1264 :rule trans :premises (@p1263 @p1260)) % 1.71/1.92 (step @p1265 :rule cong :premises (@p973 @p1264) :args (@t3929)) % 1.71/1.92 (step @p1266 :rule trans :premises (@p1265 @p1259)) % 1.71/1.92 (step @p1267 :rule refl :args ((tptp.breln1invset @t2 @t1788))) % 1.71/1.92 (step @p1268 :rule refl :args ((tptp.breln1compset @t2 @t1784 @t1762))) % 1.71/1.92 (step @p1269 :rule refl :args (@t3908)) % 1.71/1.92 (step @p1270 :rule cong :premises (@p973 @p1262 @p1269) :args (@t3930)) % 1.71/1.92 (step @p1271 :rule trans :premises (@p1270 @p1268)) % 1.71/1.92 (step @p1272 :rule cong :premises (@p973 @p1271) :args (@t3931)) % 1.71/1.92 (step @p1273 :rule trans :premises (@p1272 @p1267)) % 1.71/1.92 (step @p1274 :rule cong :premises (@p1273 @p1266) :args (@t3932)) % 1.71/1.92 (step @p1275 :rule trans :premises (@p1274 @p1258)) % 1.71/1.92 (step @p1276 :rule refl :args (tptp.binunion)) % 1.71/1.92 (step @p1277 :rule ho_cong :premises (@p1276 @p1273)) % 1.71/1.92 (step @p1278 :rule ho_cong :premises (@p1277 @p1266)) % 1.71/1.92 (step @p1279 :rule cong :premises (@p1278 @p1275) :args ((= (_ (_ tptp.binunion @t3931) @t3929) @t3932))) % 1.71/1.92 (step @p1280 :rule symm :premises (@p1279)) % 1.71/1.92 (step @p1281 :rule refl :args (@t1790)) % 1.71/1.92 (step @p1282 :rule eq_resolve :premises (@p1281 @p1280)) % 1.71/1.92 (step @p1283 :rule refl :args (@t1620)) % 1.71/1.92 (step @p1284 :rule ho_cong :premises (@p1283 @p1264)) % 1.71/1.92 (step @p1285 :rule cong :premises (@p1284 @p1266) :args ((= (_ @t1620 @t3928) @t3929))) % 1.71/1.92 (step @p1286 :rule symm :premises (@p1285)) % 1.71/1.92 (step @p1287 :rule refl :args (@t1787)) % 1.71/1.92 (step @p1288 :rule eq_resolve :premises (@p1287 @p1286)) % 1.71/1.92 (step @p1289 :rule refl :args (@t1641)) % 1.71/1.92 (step @p1290 :rule ho_cong :premises (@p1289 @p1262)) % 1.71/1.92 (step @p1291 :rule ho_cong :premises (@p1290 @p1261)) % 1.71/1.92 (step @p1292 :rule cong :premises (@p1291 @p1264) :args ((= (_ @t3939 @t2222) @t3928))) % 1.71/1.92 (step @p1293 :rule symm :premises (@p1292)) % 1.71/1.92 (step @p1294 :rule refl :args (@t1786)) % 1.71/1.92 (step @p1295 :rule eq_resolve :premises (@p1294 @p1293)) % 1.71/1.92 (step @p1296 :rule refl :args (@t1621)) % 1.71/1.92 (step @p1297 :rule cong :premises (@p1296 @p1261) :args ((= @t1621 @t2222))) % 1.71/1.92 (step @p1298 :rule symm :premises (@p1297)) % 1.71/1.92 (step @p1299 :rule eq_resolve :premises (@p1296 @p1298)) % 1.71/1.92 (step @p1300 :rule refl :args (@t1784)) % 1.71/1.92 (step @p1301 :rule cong :premises (@p1300 @p1262) :args ((= @t1784 @t3927))) % 1.71/1.92 (step @p1302 :rule symm :premises (@p1301)) % 1.71/1.92 (step @p1303 :rule eq_resolve :premises (@p1300 @p1302)) % 1.71/1.92 (step @p1304 :rule ho_cong :premises (@p1289 @p1303)) % 1.71/1.92 (step @p1305 :rule ho_cong :premises (@p1304 @p1299)) % 1.71/1.92 (step @p1306 :rule trans :premises (@p1305 @p1295)) % 1.71/1.92 (step @p1307 :rule ho_cong :premises (@p1283 @p1306)) % 1.71/1.92 (step @p1308 :rule trans :premises (@p1307 @p1288)) % 1.71/1.92 (step @p1309 :rule ho_cong :premises (@p1283 @p1271)) % 1.71/1.92 (step @p1310 :rule cong :premises (@p1309 @p1273) :args ((= (_ @t1620 @t3930) @t3931))) % 1.71/1.92 (step @p1311 :rule symm :premises (@p1310)) % 1.71/1.92 (step @p1312 :rule refl :args (@t1789)) % 1.71/1.92 (step @p1313 :rule eq_resolve :premises (@p1312 @p1311)) % 1.71/1.92 (step @p1314 :rule ho_cong :premises (@p1290 @p1269)) % 1.71/1.92 (step @p1315 :rule cong :premises (@p1314 @p1271) :args ((= (_ @t3939 @t3908) @t3930))) % 1.71/1.92 (step @p1316 :rule symm :premises (@p1315)) % 1.71/1.92 (step @p1317 :rule refl :args (@t1788)) % 1.71/1.92 (step @p1318 :rule eq_resolve :premises (@p1317 @p1316)) % 1.71/1.92 (step @p1319 :rule refl :args (@t1762)) % 1.71/1.92 (step @p1320 :rule cong :premises (@p1319 @p1269) :args ((= @t1762 @t3908))) % 1.71/1.92 (step @p1321 :rule symm :premises (@p1320)) % 1.71/1.92 (step @p1322 :rule eq_resolve :premises (@p1319 @p1321)) % 1.71/1.92 (step @p1323 :rule ho_cong :premises (@p1304 @p1322)) % 1.71/1.92 (step @p1324 :rule trans :premises (@p1323 @p1318)) % 1.71/1.92 (step @p1325 :rule ho_cong :premises (@p1283 @p1324)) % 1.71/1.92 (step @p1326 :rule trans :premises (@p1325 @p1313)) % 1.71/1.92 (step @p1327 :rule ho_cong :premises (@p1276 @p1326)) % 1.71/1.92 (step @p1328 :rule ho_cong :premises (@p1327 @p1308)) % 1.71/1.92 (step @p1329 :rule trans :premises (@p1328 @p1282)) % 1.71/1.92 (step @p1330 :rule refl :args ((tptp.breln1compset @t2 @t1694 @t1770))) % 1.71/1.92 (step @p1331 :rule refl :args (@t1770)) % 1.71/1.92 (step @p1332 :rule refl :args (@t3909)) % 1.71/1.92 (step @p1333 :rule cong :premises (@p973 @p1332 @p1331) :args (@t3933)) % 1.71/1.92 (step @p1334 :rule trans :premises (@p1333 @p1330)) % 1.71/1.92 (step @p1335 :rule ho_cong :premises (@p1289 @p1332)) % 1.71/1.92 (step @p1336 :rule ho_cong :premises (@p1335 @p1331)) % 1.71/1.92 (step @p1337 :rule cong :premises (@p1336 @p1334) :args ((= (_ (_ @t1641 @t3909) @t1770) @t3933))) % 1.71/1.92 (step @p1338 :rule symm :premises (@p1337)) % 1.71/1.92 (step @p1339 :rule refl :args (@t1774)) % 1.71/1.92 (step @p1340 :rule eq_resolve :premises (@p1339 @p1338)) % 1.71/1.92 (step @p1341 :rule refl :args (@t1694)) % 1.71/1.92 (step @p1342 :rule cong :premises (@p1341 @p1332) :args ((= @t1694 @t3909))) % 1.71/1.92 (step @p1343 :rule symm :premises (@p1342)) % 1.71/1.92 (step @p1344 :rule eq_resolve :premises (@p1341 @p1343)) % 1.71/1.92 (step @p1345 :rule ho_cong :premises (@p1289 @p1344)) % 1.71/1.92 (step @p1346 :rule ho_cong :premises (@p1345 @p1331)) % 1.71/1.92 (step @p1347 :rule trans :premises (@p1346 @p1340)) % 1.71/1.92 (step @p1348 :rule cong :premises (@p1347 @p1329) :args (@t1791)) % 1.71/1.92 (step @p1349 :rule refl :args (@t3934)) % 1.71/1.92 (step @p1350 :rule refl :args (@t1776)) % 1.71/1.92 (step @p1351 :rule cong :premises (@p1350 @p1349) :args ((= @t1776 @t3934))) % 1.71/1.92 (step @p1352 :rule symm :premises (@p1351)) % 1.71/1.92 (step @p1353 :rule eq_resolve :premises (@p1350 @p1352)) % 1.71/1.92 (step @p1354 :rule cong :premises (@p1353) :args (@t3940)) % 1.71/1.92 (step @p1355 :rule nary_cong :premises (@p1354 @p1348) :args (@t3941)) % 1.71/1.92 (step @p1356 :rule cong :premises (@p1355) :args ((forall @t1777 @t3941))) % 1.71/1.92 (step @p1357 :rule bool-impl-elim :args (@t1776 @t1791)) % 1.71/1.92 (step @p1358 :rule cong :premises (@p1357) :args (@t1792)) % 1.71/1.92 (step @p1359 :rule trans :premises (@p1358 @p1356)) % 1.71/1.92 (step @p1360 :rule refl :args (@t1604)) % 1.71/1.92 (step @p1361 :rule cong :premises (@p1360 @p1359) :args (@t1793)) % 1.71/1.92 (step @p1362 :rule cong :premises (@p1361) :args (@t1794)) % 1.71/1.92 (step @p1363 :rule trans :premises (@p1362 @p1257)) % 1.71/1.92 (step @p1364 :rule refl :args (@t1559)) % 1.71/1.92 (step @p1365 :rule cong :premises (@p1364 @p1363) :args (@t1795)) % 1.71/1.92 (step @p1366 :rule cong :premises (@p1365) :args (@t1796)) % 1.71/1.92 (step @p1367 :rule trans :premises (@p1366 @p1232)) % 1.71/1.92 (step @p1368 :rule refl :args (tptp.woz2B)) % 1.71/1.92 (step @p1369 :rule cong :premises (@p1368 @p1367) :args (@t1797)) % 1.71/1.92 (step @p1370 :rule eq_resolve :premises (@p309 @p1369)) % 1.71/1.92 (step @p1371 :rule cong :premises (@p1370 @p1207) :args (@t3942)) % 1.71/1.92 (step @p1372 :rule aci_norm :args ((= @t3944 @t2238))) % 1.71/1.92 (step @p1373 :rule cong :premises (@p1372) :args (@t3945)) % 1.71/1.92 (step @p1374 :rule quant-merge-prenex :args ((= (forall @t1561 @t3947) @t3945))) % 1.71/1.92 (step @p1375 :rule alpha_equiv :args (@t3948 (@list @t2234 @t2233) (@list @t994 @t3949))) % 1.71/1.92 (step @p1376 :rule nary_cong :premises (@p1212 @p1375) :args (@t3950)) % 1.71/1.92 (step @p1377 :rule quant-miniscope-or :args ((= @t3947 @t3950))) % 1.71/1.92 (step @p1378 :rule trans :premises (@p1377 @p1376)) % 1.71/1.92 (step @p1379 :rule symm :premises (@p1378)) % 1.71/1.92 (step @p1380 :rule cong :premises (@p1379) :args ((forall @t1561 (or @t2230 @t3955)))) % 1.71/1.92 (step @p1381 :rule trans :premises (@p1380 @p1374)) % 1.71/1.92 (step @p1382 :rule trans :premises (@p1381 @p1373)) % 1.71/1.92 (step @p1383 :rule refl :args (@t3955)) % 1.71/1.92 (step @p1384 :rule nary_cong :premises (@p1226 @p1383) :args (@t3956)) % 1.71/1.92 (step @p1385 :rule cong :premises (@p1384) :args ((forall @t1561 @t3956))) % 1.71/1.92 (step @p1386 :rule trans :premises (@p1385 @p1382)) % 1.71/1.92 (step @p1387 :rule bool-impl-elim :args (@t1559 @t3955)) % 1.71/1.92 (step @p1388 :rule cong :premises (@p1387) :args ((forall @t1561 (=> @t1559 @t3955)))) % 1.71/1.92 (step @p1389 :rule trans :premises (@p1388 @p1386)) % 1.71/1.92 (step @p1390 :rule aci_norm :args ((= @t3958 @t3953))) % 1.71/1.92 (step @p1391 :rule cong :premises (@p1390) :args (@t3959)) % 1.71/1.92 (step @p1392 :rule quant-merge-prenex :args ((= (forall @t1004 @t3961) @t3959))) % 1.71/1.92 (step @p1393 :rule alpha_equiv :args (@t3962 (@list @t3949) @t3925)) % 1.71/1.92 (step @p1394 :rule nary_cong :premises (@p1237 @p1393) :args (@t3963)) % 1.71/1.92 (step @p1395 :rule quant-miniscope-or :args ((= @t3961 @t3963))) % 1.71/1.92 (step @p1396 :rule trans :premises (@p1395 @p1394)) % 1.71/1.92 (step @p1397 :rule symm :premises (@p1396)) % 1.71/1.92 (step @p1398 :rule cong :premises (@p1397) :args ((forall @t1004 (or @t3913 @t3967)))) % 1.71/1.92 (step @p1399 :rule trans :premises (@p1398 @p1392)) % 1.71/1.92 (step @p1400 :rule trans :premises (@p1399 @p1391)) % 1.71/1.92 (step @p1401 :rule refl :args (@t3967)) % 1.71/1.92 (step @p1402 :rule nary_cong :premises (@p1251 @p1401) :args (@t3968)) % 1.71/1.92 (step @p1403 :rule cong :premises (@p1402) :args ((forall @t1004 @t3968))) % 1.71/1.92 (step @p1404 :rule trans :premises (@p1403 @p1400)) % 1.71/1.92 (step @p1405 :rule bool-impl-elim :args (@t1604 @t3967)) % 1.71/1.92 (step @p1406 :rule cong :premises (@p1405) :args ((forall @t1004 (=> @t1604 @t3967)))) % 1.71/1.92 (step @p1407 :rule trans :premises (@p1406 @p1404)) % 1.71/1.92 (step @p1408 :rule refl :args ((tptp.binunion @t1772 @t1771))) % 1.71/1.92 (step @p1409 :rule refl :args (@t3964)) % 1.71/1.92 (step @p1410 :rule refl :args (@t3965)) % 1.71/1.92 (step @p1411 :rule cong :premises (@p1410 @p1409) :args (@t3966)) % 1.71/1.92 (step @p1412 :rule trans :premises (@p1411 @p1408)) % 1.71/1.92 (step @p1413 :rule ho_cong :premises (@p1276 @p1410)) % 1.71/1.92 (step @p1414 :rule ho_cong :premises (@p1413 @p1409)) % 1.71/1.92 (step @p1415 :rule cong :premises (@p1414 @p1412) :args ((= (_ (_ tptp.binunion @t3965) @t3964) @t3966))) % 1.71/1.92 (step @p1416 :rule symm :premises (@p1415)) % 1.71/1.92 (step @p1417 :rule refl :args (@t1773)) % 1.71/1.92 (step @p1418 :rule eq_resolve :premises (@p1417 @p1416)) % 1.71/1.92 (step @p1419 :rule refl :args (@t1771)) % 1.71/1.92 (step @p1420 :rule cong :premises (@p1419 @p1409) :args ((= @t1771 @t3964))) % 1.71/1.92 (step @p1421 :rule symm :premises (@p1420)) % 1.71/1.92 (step @p1422 :rule eq_resolve :premises (@p1419 @p1421)) % 1.71/1.92 (step @p1423 :rule refl :args (@t1772)) % 1.71/1.92 (step @p1424 :rule cong :premises (@p1423 @p1410) :args ((= @t1772 @t3965))) % 1.71/1.92 (step @p1425 :rule symm :premises (@p1424)) % 1.71/1.92 (step @p1426 :rule eq_resolve :premises (@p1423 @p1425)) % 1.71/1.92 (step @p1427 :rule ho_cong :premises (@p1276 @p1426)) % 1.71/1.92 (step @p1428 :rule ho_cong :premises (@p1427 @p1422)) % 1.71/1.92 (step @p1429 :rule trans :premises (@p1428 @p1418)) % 1.71/1.92 (step @p1430 :rule cong :premises (@p1347 @p1429) :args (@t1775)) % 1.71/1.92 (step @p1431 :rule nary_cong :premises (@p1354 @p1430) :args (@t3969)) % 1.71/1.92 (step @p1432 :rule cong :premises (@p1431) :args ((forall @t1777 @t3969))) % 1.71/1.92 (step @p1433 :rule bool-impl-elim :args (@t1776 @t1775)) % 1.71/1.92 (step @p1434 :rule cong :premises (@p1433) :args (@t1778)) % 1.71/1.92 (step @p1435 :rule trans :premises (@p1434 @p1432)) % 1.71/1.92 (step @p1436 :rule cong :premises (@p1360 @p1435) :args (@t1779)) % 1.71/1.92 (step @p1437 :rule cong :premises (@p1436) :args (@t1780)) % 1.71/1.92 (step @p1438 :rule trans :premises (@p1437 @p1407)) % 1.71/1.92 (step @p1439 :rule cong :premises (@p1364 @p1438) :args (@t1781)) % 1.71/1.92 (step @p1440 :rule cong :premises (@p1439) :args (@t1782)) % 1.71/1.92 (step @p1441 :rule trans :premises (@p1440 @p1389)) % 1.71/1.92 (step @p1442 :rule refl :args (tptp.woz2A)) % 1.71/1.92 (step @p1443 :rule cong :premises (@p1442 @p1441) :args (@t1783)) % 1.71/1.92 (step @p1444 :rule eq_resolve :premises (@p308 @p1443)) % 1.71/1.92 (step @p1445 :rule cong :premises (@p1444 @p1371) :args (@t3970)) % 1.71/1.92 (step @p1446 :rule aci_norm :args ((= @t3972 @t2243))) % 1.71/1.92 (step @p1447 :rule cong :premises (@p1446) :args (@t3973)) % 1.71/1.92 (step @p1448 :rule quant-merge-prenex :args ((= (forall @t1561 @t3975) @t3973))) % 1.71/1.92 (step @p1449 :rule alpha_equiv :args (@t3976 (@list @t2240) @t3977)) % 1.71/1.92 (step @p1450 :rule nary_cong :premises (@p1212 @p1449) :args (@t3978)) % 1.71/1.92 (step @p1451 :rule quant-miniscope-or :args ((= @t3975 @t3978))) % 1.71/1.92 (step @p1452 :rule trans :premises (@p1451 @p1450)) % 1.71/1.92 (step @p1453 :rule symm :premises (@p1452)) % 1.71/1.92 (step @p1454 :rule cong :premises (@p1453) :args ((forall @t1561 (or @t2230 @t3982)))) % 1.71/1.92 (step @p1455 :rule trans :premises (@p1454 @p1448)) % 1.71/1.92 (step @p1456 :rule trans :premises (@p1455 @p1447)) % 1.71/1.92 (step @p1457 :rule refl :args (@t3982)) % 1.71/1.92 (step @p1458 :rule nary_cong :premises (@p1226 @p1457) :args (@t3983)) % 1.71/1.92 (step @p1459 :rule cong :premises (@p1458) :args ((forall @t1561 @t3983))) % 1.71/1.92 (step @p1460 :rule trans :premises (@p1459 @p1456)) % 1.71/1.92 (step @p1461 :rule bool-impl-elim :args (@t1559 @t3982)) % 1.71/1.92 (step @p1462 :rule cong :premises (@p1461) :args ((forall @t1561 (=> @t1559 @t3982)))) % 1.71/1.92 (step @p1463 :rule trans :premises (@p1462 @p1460)) % 1.71/1.92 (step @p1464 :rule refl :args ((tptp.breln1compset @t2 @t1762 @t1621))) % 1.71/1.92 (step @p1465 :rule cong :premises (@p973 @p1269 @p1261) :args (@t3979)) % 1.71/1.92 (step @p1466 :rule trans :premises (@p1465 @p1464)) % 1.71/1.92 (step @p1467 :rule ho_cong :premises (@p1289 @p1269)) % 1.71/1.92 (step @p1468 :rule ho_cong :premises (@p1467 @p1261)) % 1.71/1.92 (step @p1469 :rule cong :premises (@p1468 @p1466) :args ((= (_ (_ @t1641 @t3908) @t2222) @t3979))) % 1.71/1.92 (step @p1470 :rule symm :premises (@p1469)) % 1.71/1.92 (step @p1471 :rule refl :args (@t1763)) % 1.71/1.92 (step @p1472 :rule eq_resolve :premises (@p1471 @p1470)) % 1.71/1.92 (step @p1473 :rule ho_cong :premises (@p1289 @p1322)) % 1.71/1.92 (step @p1474 :rule ho_cong :premises (@p1473 @p1299)) % 1.71/1.92 (step @p1475 :rule trans :premises (@p1474 @p1472)) % 1.71/1.92 (step @p1476 :rule refl :args ((tptp.breln1invset @t2 @t1643))) % 1.71/1.92 (step @p1477 :rule refl :args (@t3980)) % 1.71/1.92 (step @p1478 :rule cong :premises (@p973 @p1477) :args (@t3981)) % 1.71/1.92 (step @p1479 :rule trans :premises (@p1478 @p1476)) % 1.71/1.92 (step @p1480 :rule ho_cong :premises (@p1283 @p1477)) % 1.71/1.92 (step @p1481 :rule cong :premises (@p1480 @p1479) :args ((= (_ @t1620 @t3980) @t3981))) % 1.71/1.92 (step @p1482 :rule symm :premises (@p1481)) % 1.71/1.92 (step @p1483 :rule refl :args (@t1764)) % 1.71/1.92 (step @p1484 :rule eq_resolve :premises (@p1483 @p1482)) % 1.71/1.92 (step @p1485 :rule refl :args (@t1643)) % 1.71/1.92 (step @p1486 :rule cong :premises (@p1485 @p1477) :args ((= @t1643 @t3980))) % 1.71/1.92 (step @p1487 :rule symm :premises (@p1486)) % 1.71/1.92 (step @p1488 :rule eq_resolve :premises (@p1485 @p1487)) % 1.71/1.92 (step @p1489 :rule ho_cong :premises (@p1283 @p1488)) % 1.71/1.92 (step @p1490 :rule trans :premises (@p1489 @p1484)) % 1.71/1.92 (step @p1491 :rule cong :premises (@p1490 @p1475) :args (@t1765)) % 1.71/1.92 (step @p1492 :rule nary_cong :premises (@p1251 @p1491) :args (@t3984)) % 1.71/1.92 (step @p1493 :rule cong :premises (@p1492) :args ((forall @t1004 @t3984))) % 1.71/1.92 (step @p1494 :rule bool-impl-elim :args (@t1604 @t1765)) % 1.71/1.92 (step @p1495 :rule cong :premises (@p1494) :args (@t1766)) % 1.71/1.92 (step @p1496 :rule trans :premises (@p1495 @p1493)) % 1.71/1.92 (step @p1497 :rule cong :premises (@p1364 @p1496) :args (@t1767)) % 1.71/1.92 (step @p1498 :rule cong :premises (@p1497) :args (@t1768)) % 1.71/1.92 (step @p1499 :rule trans :premises (@p1498 @p1463)) % 1.71/1.92 (step @p1500 :rule refl :args (tptp.woz2W)) % 1.71/1.92 (step @p1501 :rule cong :premises (@p1500 @p1499) :args (@t1769)) % 1.71/1.92 (step @p1502 :rule eq_resolve :premises (@p307 @p1501)) % 1.71/1.92 (step @p1503 :rule cong :premises (@p1502 @p1445) :args (@t3985)) % 1.71/1.92 (step @p1504 :rule refl :args ((tptp.breln1invset @t2 @t1621))) % 1.71/1.92 (step @p1505 :rule cong :premises (@p973 @p1261) :args (@t2245)) % 1.71/1.92 (step @p1506 :rule trans :premises (@p1505 @p1504)) % 1.71/1.92 (step @p1507 :rule ho_cong :premises (@p1283 @p1261)) % 1.71/1.92 (step @p1508 :rule cong :premises (@p1507 @p1506) :args ((= (_ @t1620 @t2222) @t2245))) % 1.71/1.92 (step @p1509 :rule symm :premises (@p1508)) % 1.71/1.92 (step @p1510 :rule refl :args (@t1758)) % 1.71/1.92 (step @p1511 :rule eq_resolve :premises (@p1510 @p1509)) % 1.71/1.92 (step @p1512 :rule ho_cong :premises (@p1283 @p1299)) % 1.71/1.92 (step @p1513 :rule trans :premises (@p1512 @p1511)) % 1.71/1.92 (step @p1514 :rule refl :args (@t938)) % 1.71/1.92 (step @p1515 :rule cong :premises (@p1514 @p1513) :args (@t1759)) % 1.71/1.92 (step @p1516 :rule nary_cong :premises (@p1226 @p1515) :args (@t3986)) % 1.71/1.92 (step @p1517 :rule cong :premises (@p1516) :args ((forall @t1561 @t3986))) % 1.71/1.92 (step @p1518 :rule bool-impl-elim :args (@t1559 @t1759)) % 1.71/1.92 (step @p1519 :rule cong :premises (@p1518) :args (@t1760)) % 1.71/1.92 (step @p1520 :rule trans :premises (@p1519 @p1517)) % 1.71/1.92 (step @p1521 :rule refl :args (tptp.woz2Ex)) % 1.71/1.92 (step @p1522 :rule cong :premises (@p1521 @p1520) :args (@t1761)) % 1.71/1.92 (step @p1523 :rule eq_resolve :premises (@p306 @p1522)) % 1.71/1.92 (step @p1524 :rule cong :premises (@p1523 @p1503) :args (@t3987)) % 1.71/1.92 (step @p1525 :rule aci_norm :args ((= @t3989 @t2249))) % 1.71/1.92 (step @p1526 :rule cong :premises (@p1525) :args (@t3990)) % 1.71/1.92 (step @p1527 :rule quant-merge-prenex :args ((= (forall @t1561 @t3992) @t3990))) % 1.71/1.92 (step @p1528 :rule alpha_equiv :args (@t3993 (@list @t2246) @t3977)) % 1.71/1.92 (step @p1529 :rule nary_cong :premises (@p1212 @p1528) :args (@t3994)) % 1.71/1.92 (step @p1530 :rule quant-miniscope-or :args ((= @t3992 @t3994))) % 1.71/1.92 (step @p1531 :rule trans :premises (@p1530 @p1529)) % 1.71/1.92 (step @p1532 :rule symm :premises (@p1531)) % 1.71/1.92 (step @p1533 :rule cong :premises (@p1532) :args ((forall @t1561 (or @t2230 @t3996)))) % 1.71/1.92 (step @p1534 :rule trans :premises (@p1533 @p1527)) % 1.71/1.92 (step @p1535 :rule trans :premises (@p1534 @p1526)) % 1.71/1.92 (step @p1536 :rule refl :args (@t3996)) % 1.71/1.92 (step @p1537 :rule nary_cong :premises (@p1226 @p1536) :args (@t3997)) % 1.71/1.92 (step @p1538 :rule cong :premises (@p1537) :args ((forall @t1561 @t3997))) % 1.71/1.92 (step @p1539 :rule trans :premises (@p1538 @p1535)) % 1.71/1.92 (step @p1540 :rule bool-impl-elim :args (@t1559 @t3996)) % 1.71/1.92 (step @p1541 :rule cong :premises (@p1540) :args ((forall @t1561 (=> @t1559 @t3996)))) % 1.71/1.92 (step @p1542 :rule trans :premises (@p1541 @p1539)) % 1.71/1.92 (step @p1543 :rule refl :args (@t3995)) % 1.71/1.92 (step @p1544 :rule refl :args (@t1752)) % 1.71/1.92 (step @p1545 :rule cong :premises (@p1544 @p1543) :args ((= @t1752 @t3995))) % 1.71/1.92 (step @p1546 :rule symm :premises (@p1545)) % 1.71/1.92 (step @p1547 :rule eq_resolve :premises (@p1544 @p1546)) % 1.71/1.92 (step @p1548 :rule cong :premises (@p1344 @p1547) :args (@t1753)) % 1.71/1.92 (step @p1549 :rule nary_cong :premises (@p1251 @p1548) :args (@t3998)) % 1.71/1.92 (step @p1550 :rule cong :premises (@p1549) :args ((forall @t1004 @t3998))) % 1.71/1.92 (step @p1551 :rule bool-impl-elim :args (@t1604 @t1753)) % 1.71/1.92 (step @p1552 :rule cong :premises (@p1551) :args (@t1754)) % 1.71/1.92 (step @p1553 :rule trans :premises (@p1552 @p1550)) % 1.71/1.92 (step @p1554 :rule cong :premises (@p1364 @p1553) :args (@t1755)) % 1.71/1.92 (step @p1555 :rule cong :premises (@p1554) :args (@t1756)) % 1.71/1.92 (step @p1556 :rule trans :premises (@p1555 @p1542)) % 1.71/1.92 (step @p1557 :rule refl :args (tptp.breln1unionCommutes)) % 1.71/1.92 (step @p1558 :rule cong :premises (@p1557 @p1556) :args (@t1757)) % 1.71/1.92 (step @p1559 :rule eq_resolve :premises (@p305 @p1558)) % 1.71/1.92 (step @p1560 :rule cong :premises (@p1559 @p1524) :args (@t3999)) % 1.71/1.92 (step @p1561 :rule aci_norm :args ((= @t4001 @t2261))) % 1.71/1.92 (step @p1562 :rule cong :premises (@p1561) :args (@t4002)) % 1.71/1.92 (step @p1563 :rule quant-merge-prenex :args ((= (forall @t1561 @t4004) @t4002))) % 1.71/1.92 (step @p1564 :rule alpha_equiv :args (@t4005 (@list @t2251 @t2253 @t2252) (@list @t994 @t4007 @t4006))) % 1.71/1.92 (step @p1565 :rule nary_cong :premises (@p1212 @p1564) :args (@t4008)) % 1.71/1.92 (step @p1566 :rule quant-miniscope-or :args ((= @t4004 @t4008))) % 1.71/1.92 (step @p1567 :rule trans :premises (@p1566 @p1565)) % 1.71/1.92 (step @p1568 :rule symm :premises (@p1567)) % 1.71/1.92 (step @p1569 :rule cong :premises (@p1568) :args ((forall @t1561 (or @t2230 @t4017)))) % 1.71/1.92 (step @p1570 :rule trans :premises (@p1569 @p1563)) % 1.71/1.92 (step @p1571 :rule trans :premises (@p1570 @p1562)) % 1.71/1.92 (step @p1572 :rule refl :args (@t4017)) % 1.71/1.92 (step @p1573 :rule nary_cong :premises (@p1226 @p1572) :args (@t4018)) % 1.71/1.92 (step @p1574 :rule cong :premises (@p1573) :args ((forall @t1561 @t4018))) % 1.71/1.92 (step @p1575 :rule trans :premises (@p1574 @p1571)) % 1.71/1.92 (step @p1576 :rule bool-impl-elim :args (@t1559 @t4017)) % 1.71/1.92 (step @p1577 :rule cong :premises (@p1576) :args ((forall @t1561 (=> @t1559 @t4017)))) % 1.71/1.92 (step @p1578 :rule trans :premises (@p1577 @p1575)) % 1.71/1.92 (step @p1579 :rule aci_norm :args ((= @t4020 @t4015))) % 1.71/1.92 (step @p1580 :rule cong :premises (@p1579) :args (@t4021)) % 1.71/1.92 (step @p1581 :rule quant-merge-prenex :args ((= (forall @t1004 @t4023) @t4021))) % 1.71/1.92 (step @p1582 :rule alpha_equiv :args (@t4024 (@list @t4007 @t4006) (@list @t4 @t4025))) % 1.71/1.92 (step @p1583 :rule nary_cong :premises (@p1237 @p1582) :args (@t4026)) % 1.71/1.92 (step @p1584 :rule quant-miniscope-or :args ((= @t4023 @t4026))) % 1.71/1.92 (step @p1585 :rule trans :premises (@p1584 @p1583)) % 1.71/1.92 (step @p1586 :rule symm :premises (@p1585)) % 1.71/1.92 (step @p1587 :rule cong :premises (@p1586) :args ((forall @t1004 (or @t3913 @t4034)))) % 1.71/1.92 (step @p1588 :rule trans :premises (@p1587 @p1581)) % 1.71/1.92 (step @p1589 :rule trans :premises (@p1588 @p1580)) % 1.71/1.92 (step @p1590 :rule refl :args (@t4034)) % 1.71/1.92 (step @p1591 :rule nary_cong :premises (@p1251 @p1590) :args (@t4035)) % 1.71/1.92 (step @p1592 :rule cong :premises (@p1591) :args ((forall @t1004 @t4035))) % 1.71/1.92 (step @p1593 :rule trans :premises (@p1592 @p1589)) % 1.71/1.92 (step @p1594 :rule bool-impl-elim :args (@t1604 @t4034)) % 1.71/1.92 (step @p1595 :rule cong :premises (@p1594) :args ((forall @t1004 (=> @t1604 @t4034)))) % 1.71/1.92 (step @p1596 :rule trans :premises (@p1595 @p1593)) % 1.71/1.92 (step @p1597 :rule aci_norm :args ((= @t4037 @t4032))) % 1.71/1.92 (step @p1598 :rule cong :premises (@p1597) :args (@t4038)) % 1.71/1.92 (step @p1599 :rule quant-merge-prenex :args ((= (forall @t9 @t4040) @t4038))) % 1.71/1.92 (step @p1600 :rule alpha_equiv :args (@t4041 (@list @t4025) @t3833)) % 1.71/1.92 (step @p1601 :rule refl :args (@t2357)) % 1.71/1.92 (step @p1602 :rule nary_cong :premises (@p1601 @p1600) :args (@t4042)) % 1.71/1.92 (step @p1603 :rule quant-miniscope-or :args ((= @t4040 @t4042))) % 1.71/1.92 (step @p1604 :rule trans :premises (@p1603 @p1602)) % 1.71/1.92 (step @p1605 :rule symm :premises (@p1604)) % 1.71/1.92 (step @p1606 :rule cong :premises (@p1605) :args ((forall @t9 (or @t2357 @t4046)))) % 1.71/1.92 (step @p1607 :rule trans :premises (@p1606 @p1599)) % 1.71/1.92 (step @p1608 :rule trans :premises (@p1607 @p1598)) % 1.71/1.92 (step @p1609 :rule refl :args (@t4046)) % 1.71/1.92 (step @p1610 :rule refl :args (@t2356)) % 1.71/1.92 (step @p1611 :rule refl :args (@t7)) % 1.71/1.92 (step @p1612 :rule cong :premises (@p1611 @p1610) :args ((= @t7 @t2356))) % 1.71/1.92 (step @p1613 :rule symm :premises (@p1612)) % 1.71/1.92 (step @p1614 :rule eq_resolve :premises (@p1611 @p1613)) % 1.71/1.92 (step @p1615 :rule cong :premises (@p1614) :args (@t197)) % 1.71/1.92 (step @p1616 :rule nary_cong :premises (@p1615 @p1609) :args (@t4047)) % 1.71/1.92 (step @p1617 :rule cong :premises (@p1616) :args ((forall @t9 @t4047))) % 1.71/1.92 (step @p1618 :rule trans :premises (@p1617 @p1608)) % 1.71/1.92 (step @p1619 :rule bool-impl-elim :args (@t7 @t4046)) % 1.71/1.92 (step @p1620 :rule cong :premises (@p1619) :args ((forall @t9 (=> @t7 @t4046)))) % 1.71/1.92 (step @p1621 :rule trans :premises (@p1620 @p1618)) % 1.71/1.92 (step @p1622 :rule refl :args (@t4043)) % 1.71/1.92 (step @p1623 :rule refl :args (@t4044)) % 1.71/1.92 (step @p1624 :rule refl :args ((tptp.in @t633 @t1694))) % 1.71/1.92 (step @p1625 :rule refl :args (@t2997)) % 1.71/1.92 (step @p1626 :rule cong :premises (@p1625 @p1332) :args (@t4045)) % 1.71/1.92 (step @p1627 :rule trans :premises (@p1626 @p1624)) % 1.71/1.92 (step @p1628 :rule refl :args (tptp.in)) % 1.71/1.92 (step @p1629 :rule ho_cong :premises (@p1628 @p1625)) % 1.71/1.92 (step @p1630 :rule ho_cong :premises (@p1629 @p1332)) % 1.71/1.92 (step @p1631 :rule cong :premises (@p1630 @p1627) :args ((= (_ @t4048 @t3909) @t4045))) % 1.71/1.92 (step @p1632 :rule symm :premises (@p1631)) % 1.71/1.92 (step @p1633 :rule refl :args (@t1700)) % 1.71/1.92 (step @p1634 :rule eq_resolve :premises (@p1633 @p1632)) % 1.71/1.92 (step @p1635 :rule refl :args (@t633)) % 1.71/1.92 (step @p1636 :rule cong :premises (@p1635 @p1625) :args ((= @t633 @t2997))) % 1.71/1.92 (step @p1637 :rule symm :premises (@p1636)) % 1.71/1.92 (step @p1638 :rule eq_resolve :premises (@p1635 @p1637)) % 1.71/1.92 (step @p1639 :rule ho_cong :premises (@p1628 @p1638)) % 1.71/1.92 (step @p1640 :rule ho_cong :premises (@p1639 @p1344)) % 1.71/1.92 (step @p1641 :rule trans :premises (@p1640 @p1634)) % 1.71/1.92 (step @p1642 :rule cong :premises (@p1641) :args (@t4049)) % 1.71/1.92 (step @p1643 :rule nary_cong :premises (@p1018 @p1642 @p1623 @p1622) :args (@t4050)) % 1.71/1.92 (step @p1644 :rule cong :premises (@p1643) :args ((forall @t70 @t4050))) % 1.71/1.92 (step @p1645 :rule aci_norm :args ((= (or @t3841 @t4051) @t4050))) % 1.71/1.92 (step @p1646 :rule aci_norm :args ((= (or @t4049 @t4052) @t4051))) % 1.71/1.92 (step @p1647 :rule bool-impl-elim :args (@t1700 @t4052)) % 1.71/1.92 (step @p1648 :rule trans :premises (@p1647 @p1646)) % 1.71/1.92 (step @p1649 :rule refl :args (@t3841)) % 1.71/1.92 (step @p1650 :rule nary_cong :premises (@p1649 @p1648) :args ((or @t3841 @t4053))) % 1.71/1.92 (step @p1651 :rule trans :premises (@p1650 @p1645)) % 1.71/1.92 (step @p1652 :rule bool-impl-elim :args (@t21 @t4053)) % 1.71/1.92 (step @p1653 :rule trans :premises (@p1652 @p1651)) % 1.71/1.92 (step @p1654 :rule cong :premises (@p1653) :args ((forall @t70 (=> @t21 @t4053)))) % 1.71/1.92 (step @p1655 :rule trans :premises (@p1654 @p1644)) % 1.71/1.92 (step @p1656 :rule aci_norm :args ((= (and @t4043 true) @t4043))) % 1.71/1.92 (step @p1657 :rule evaluate :args (@t4054)) % 1.71/1.92 (step @p1658 :rule refl :args (@t4043)) % 1.71/1.92 (step @p1659 :rule nary_cong :premises (@p1658 @p1657) :args (@t4055)) % 1.71/1.92 (step @p1660 :rule trans :premises (@p1659 @p1656)) % 1.71/1.92 (step @p1661 :rule aci_norm :args ((= (and @t4044 true) @t4044))) % 1.71/1.92 (step @p1662 :rule refl :args (@t4044)) % 1.71/1.92 (step @p1663 :rule nary_cong :premises (@p1662 @p1657) :args (@t4056)) % 1.71/1.92 (step @p1664 :rule trans :premises (@p1663 @p1661)) % 1.71/1.92 (step @p1665 :rule nary_cong :premises (@p1664 @p1660) :args (@t4057)) % 1.71/1.92 (step @p1666 :rule aci_norm :args ((= @t4058 @t4057))) % 1.71/1.92 (step @p1667 :rule trans :premises (@p1666 @p1665)) % 1.71/1.92 (step @p1668 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t4060 @t4059 @t173)) @t4058))) % 1.71/1.92 (step @p1669 :rule refl :args (@t173)) % 1.71/1.92 (step @p1670 :rule refl :args (@t4059)) % 1.71/1.92 (step @p1671 :rule refl :args (@t4060)) % 1.71/1.92 (step @p1672 :rule bool-eq-false :args (@t173)) % 1.71/1.92 (step @p1673 :rule symm :premises (@p1672)) % 1.71/1.92 (step @p1674 :rule cong :premises (@p1673) :args (@t4062)) % 1.71/1.92 (step @p1675 :rule bool-double-not-elim :args (@t173)) % 1.71/1.92 (step @p1676 :rule symm :premises (@p1675)) % 1.71/1.92 (step @p1677 :rule trans :premises (@p1676 @p1674)) % 1.71/1.92 (step @p1678 :rule nary_cong :premises (@p1677 @p1671 @p1670 @p1669) :args (@t4063)) % 1.71/1.92 (step @p1679 :rule aci_norm :args ((= @t4064 @t4063))) % 1.71/1.92 (step @p1680 :rule trans :premises (@p1679 @p1678)) % 1.71/1.92 (step @p1681 :rule cong :premises (@p1680) :args ((forall @t179 @t4064))) % 1.71/1.92 (step @p1682 :rule trans :premises (@p1681 @p1668)) % 1.71/1.92 (step @p1683 :rule trans :premises (@p1682 @p1667)) % 1.71/1.92 (step @p1684 :rule refl :args (@t1064)) % 1.71/1.92 (step @p1685 :rule refl :args ((tptp.in @t633 @t994))) % 1.71/1.92 (step @p1686 :rule refl :args (@t994)) % 1.71/1.92 (step @p1687 :rule cong :premises (@p1625 @p1686) :args (@t4043)) % 1.71/1.92 (step @p1688 :rule trans :premises (@p1687 @p1685)) % 1.71/1.92 (step @p1689 :rule ho_cong :premises (@p1629 @p1686)) % 1.71/1.92 (step @p1690 :rule cong :premises (@p1689 @p1688) :args ((= (_ @t4048 @t994) @t4043))) % 1.71/1.92 (step @p1691 :rule symm :premises (@p1690)) % 1.71/1.92 (step @p1692 :rule refl :args (@t996)) % 1.71/1.92 (step @p1693 :rule eq_resolve :premises (@p1692 @p1691)) % 1.71/1.92 (step @p1694 :rule ho_cong :premises (@p1639 @p1686)) % 1.71/1.92 (step @p1695 :rule trans :premises (@p1694 @p1693)) % 1.71/1.92 (step @p1696 :rule nary_cong :premises (@p1695 @p1684) :args (@t4065)) % 1.71/1.92 (step @p1697 :rule refl :args ((tptp.in @t633 @t938))) % 1.71/1.92 (step @p1698 :rule cong :premises (@p1625 @p1514) :args (@t4044)) % 1.71/1.92 (step @p1699 :rule trans :premises (@p1698 @p1697)) % 1.71/1.92 (step @p1700 :rule ho_cong :premises (@p1629 @p1514)) % 1.71/1.92 (step @p1701 :rule cong :premises (@p1700 @p1699) :args ((= (_ @t4048 @t938) @t4044))) % 1.71/1.92 (step @p1702 :rule symm :premises (@p1701)) % 1.71/1.92 (step @p1703 :rule refl :args (@t942)) % 1.71/1.92 (step @p1704 :rule eq_resolve :premises (@p1703 @p1702)) % 1.71/1.92 (step @p1705 :rule ho_cong :premises (@p1639 @p1514)) % 1.71/1.92 (step @p1706 :rule trans :premises (@p1705 @p1704)) % 1.71/1.92 (step @p1707 :rule nary_cong :premises (@p1706 @p1684) :args (@t4066)) % 1.71/1.92 (step @p1708 :rule nary_cong :premises (@p1707 @p1696 @p1669) :args (@t4067)) % 1.71/1.92 (step @p1709 :rule cong :premises (@p1708) :args ((forall @t179 @t4067))) % 1.71/1.92 (step @p1710 :rule trans :premises (@p1709 @p1683)) % 1.71/1.92 (step @p1711 :rule aci_norm :args ((= (or @t4066 (or @t4065 @t173)) @t4067))) % 1.71/1.92 (step @p1712 :rule bool-implies-de-morgan :args (@t996 @t173)) % 1.71/1.92 (step @p1713 :rule nary_cong :premises (@p1712 @p1669) :args ((or (not @t1738) @t173))) % 1.71/1.92 (step @p1714 :rule bool-impl-elim :args (@t1738 @t173)) % 1.71/1.92 (step @p1715 :rule trans :premises (@p1714 @p1713)) % 1.71/1.92 (step @p1716 :rule bool-implies-de-morgan :args (@t942 @t173)) % 1.71/1.92 (step @p1717 :rule nary_cong :premises (@p1716 @p1715) :args ((or (not @t1740) @t1739))) % 1.71/1.92 (step @p1718 :rule trans :premises (@p1717 @p1711)) % 1.71/1.92 (step @p1719 :rule bool-impl-elim :args (@t1740 @t1739)) % 1.71/1.92 (step @p1720 :rule trans :premises (@p1719 @p1718)) % 1.71/1.92 (step @p1721 :rule cong :premises (@p1720) :args (@t1741)) % 1.71/1.92 (step @p1722 :rule trans :premises (@p1721 @p1710)) % 1.71/1.92 (step @p1723 :rule refl :args (@t1700)) % 1.71/1.92 (step @p1724 :rule cong :premises (@p1723 @p1722) :args (@t1742)) % 1.71/1.92 (step @p1725 :rule refl :args (@t21)) % 1.71/1.92 (step @p1726 :rule cong :premises (@p1725 @p1724) :args (@t1743)) % 1.71/1.92 (step @p1727 :rule cong :premises (@p1726) :args (@t1744)) % 1.71/1.92 (step @p1728 :rule trans :premises (@p1727 @p1655)) % 1.71/1.92 (step @p1729 :rule refl :args (@t7)) % 1.71/1.92 (step @p1730 :rule cong :premises (@p1729 @p1728) :args (@t1745)) % 1.71/1.92 (step @p1731 :rule cong :premises (@p1730) :args (@t1746)) % 1.71/1.92 (step @p1732 :rule trans :premises (@p1731 @p1621)) % 1.71/1.92 (step @p1733 :rule cong :premises (@p1360 @p1732) :args (@t1747)) % 1.71/1.92 (step @p1734 :rule cong :premises (@p1733) :args (@t1748)) % 1.71/1.92 (step @p1735 :rule trans :premises (@p1734 @p1596)) % 1.71/1.92 (step @p1736 :rule cong :premises (@p1364 @p1735) :args (@t1749)) % 1.71/1.92 (step @p1737 :rule cong :premises (@p1736) :args (@t1750)) % 1.71/1.92 (step @p1738 :rule trans :premises (@p1737 @p1578)) % 1.71/1.92 (step @p1739 :rule refl :args (tptp.breln1unionEcases)) % 1.71/1.92 (step @p1740 :rule cong :premises (@p1739 @p1738) :args (@t1751)) % 1.71/1.92 (step @p1741 :rule eq_resolve :premises (@p304 @p1740)) % 1.71/1.92 (step @p1742 :rule cong :premises (@p1741 @p1560) :args (@t4068)) % 1.71/1.92 (step @p1743 :rule nary_cong :premises (@p1018 @p1642 @p1706 @p1695) :args (@t4069)) % 1.71/1.92 (step @p1744 :rule cong :premises (@p1743) :args ((forall @t70 @t4069))) % 1.71/1.92 (step @p1745 :rule aci_norm :args ((= (or @t3841 @t4070) @t4069))) % 1.71/1.92 (step @p1746 :rule aci_norm :args ((= (or @t4049 @t1719) @t4070))) % 1.71/1.92 (step @p1747 :rule bool-impl-elim :args (@t1700 @t1719)) % 1.71/1.92 (step @p1748 :rule trans :premises (@p1747 @p1746)) % 1.71/1.92 (step @p1749 :rule nary_cong :premises (@p1649 @p1748) :args ((or @t3841 @t1729))) % 1.71/1.92 (step @p1750 :rule trans :premises (@p1749 @p1745)) % 1.71/1.92 (step @p1751 :rule bool-impl-elim :args (@t21 @t1729)) % 1.71/1.92 (step @p1752 :rule trans :premises (@p1751 @p1750)) % 1.71/1.92 (step @p1753 :rule cong :premises (@p1752) :args (@t1730)) % 1.71/1.92 (step @p1754 :rule trans :premises (@p1753 @p1744)) % 1.71/1.92 (step @p1755 :rule cong :premises (@p1729 @p1754) :args (@t1731)) % 1.71/1.92 (step @p1756 :rule cong :premises (@p1755) :args (@t1732)) % 1.71/1.92 (step @p1757 :rule trans :premises (@p1756 @p1621)) % 1.71/1.92 (step @p1758 :rule cong :premises (@p1360 @p1757) :args (@t1733)) % 1.71/1.92 (step @p1759 :rule cong :premises (@p1758) :args (@t1734)) % 1.71/1.92 (step @p1760 :rule trans :premises (@p1759 @p1596)) % 1.71/1.92 (step @p1761 :rule cong :premises (@p1364 @p1760) :args (@t1735)) % 1.71/1.92 (step @p1762 :rule cong :premises (@p1761) :args (@t1736)) % 1.71/1.92 (step @p1763 :rule trans :premises (@p1762 @p1578)) % 1.71/1.92 (step @p1764 :rule refl :args (tptp.breln1unionE)) % 1.71/1.92 (step @p1765 :rule cong :premises (@p1764 @p1763) :args (@t1737)) % 1.71/1.92 (step @p1766 :rule eq_resolve :premises (@p303 @p1765)) % 1.71/1.92 (step @p1767 :rule cong :premises (@p1766 @p1742) :args (@t4071)) % 1.71/1.92 (step @p1768 :rule aci_norm :args ((= @t4073 @t2273))) % 1.71/1.92 (step @p1769 :rule cong :premises (@p1768) :args (@t4074)) % 1.71/1.92 (step @p1770 :rule quant-merge-prenex :args ((= (forall @t1561 @t4076) @t4074))) % 1.71/1.92 (step @p1771 :rule alpha_equiv :args (@t4077 (@list @t2264 @t2266 @t2265) (@list @t994 @t4079 @t4078))) % 1.71/1.92 (step @p1772 :rule nary_cong :premises (@p1212 @p1771) :args (@t4080)) % 1.71/1.92 (step @p1773 :rule quant-miniscope-or :args ((= @t4076 @t4080))) % 1.71/1.92 (step @p1774 :rule trans :premises (@p1773 @p1772)) % 1.71/1.92 (step @p1775 :rule symm :premises (@p1774)) % 1.71/1.92 (step @p1776 :rule cong :premises (@p1775) :args ((forall @t1561 (or @t2230 @t4088)))) % 1.71/1.92 (step @p1777 :rule trans :premises (@p1776 @p1770)) % 1.71/1.92 (step @p1778 :rule trans :premises (@p1777 @p1769)) % 1.71/1.92 (step @p1779 :rule refl :args (@t4088)) % 1.71/1.92 (step @p1780 :rule nary_cong :premises (@p1226 @p1779) :args (@t4089)) % 1.71/1.92 (step @p1781 :rule cong :premises (@p1780) :args ((forall @t1561 @t4089))) % 1.71/1.92 (step @p1782 :rule trans :premises (@p1781 @p1778)) % 1.71/1.92 (step @p1783 :rule bool-impl-elim :args (@t1559 @t4088)) % 1.71/1.92 (step @p1784 :rule cong :premises (@p1783) :args ((forall @t1561 (=> @t1559 @t4088)))) % 1.71/1.92 (step @p1785 :rule trans :premises (@p1784 @p1782)) % 1.71/1.92 (step @p1786 :rule aci_norm :args ((= @t4091 @t4086))) % 1.71/1.92 (step @p1787 :rule cong :premises (@p1786) :args (@t4092)) % 1.71/1.92 (step @p1788 :rule quant-merge-prenex :args ((= (forall @t1004 @t4094) @t4092))) % 1.71/1.92 (step @p1789 :rule alpha_equiv :args (@t4095 (@list @t4079 @t4078) (@list @t4 @t4096))) % 1.71/1.92 (step @p1790 :rule nary_cong :premises (@p1237 @p1789) :args (@t4097)) % 1.71/1.92 (step @p1791 :rule quant-miniscope-or :args ((= @t4094 @t4097))) % 1.71/1.92 (step @p1792 :rule trans :premises (@p1791 @p1790)) % 1.71/1.92 (step @p1793 :rule symm :premises (@p1792)) % 1.71/1.92 (step @p1794 :rule cong :premises (@p1793) :args ((forall @t1004 (or @t3913 @t4104)))) % 1.71/1.92 (step @p1795 :rule trans :premises (@p1794 @p1788)) % 1.71/1.92 (step @p1796 :rule trans :premises (@p1795 @p1787)) % 1.71/1.92 (step @p1797 :rule refl :args (@t4104)) % 1.71/1.92 (step @p1798 :rule nary_cong :premises (@p1251 @p1797) :args (@t4105)) % 1.71/1.92 (step @p1799 :rule cong :premises (@p1798) :args ((forall @t1004 @t4105))) % 1.71/1.92 (step @p1800 :rule trans :premises (@p1799 @p1796)) % 1.71/1.92 (step @p1801 :rule bool-impl-elim :args (@t1604 @t4104)) % 1.71/1.92 (step @p1802 :rule cong :premises (@p1801) :args ((forall @t1004 (=> @t1604 @t4104)))) % 1.71/1.92 (step @p1803 :rule trans :premises (@p1802 @p1800)) % 1.71/1.92 (step @p1804 :rule aci_norm :args ((= @t4107 @t4102))) % 1.71/1.92 (step @p1805 :rule cong :premises (@p1804) :args (@t4108)) % 1.71/1.92 (step @p1806 :rule quant-merge-prenex :args ((= (forall @t9 @t4110) @t4108))) % 1.71/1.92 (step @p1807 :rule alpha_equiv :args (@t4111 (@list @t4096) @t3833)) % 1.71/1.92 (step @p1808 :rule nary_cong :premises (@p1601 @p1807) :args (@t4112)) % 1.71/1.92 (step @p1809 :rule quant-miniscope-or :args ((= @t4110 @t4112))) % 1.71/1.92 (step @p1810 :rule trans :premises (@p1809 @p1808)) % 1.71/1.92 (step @p1811 :rule symm :premises (@p1810)) % 1.71/1.92 (step @p1812 :rule cong :premises (@p1811) :args ((forall @t9 (or @t2357 @t4115)))) % 1.71/1.92 (step @p1813 :rule trans :premises (@p1812 @p1806)) % 1.71/1.92 (step @p1814 :rule trans :premises (@p1813 @p1805)) % 1.71/1.92 (step @p1815 :rule refl :args (@t4115)) % 1.71/1.92 (step @p1816 :rule nary_cong :premises (@p1615 @p1815) :args (@t4116)) % 1.71/1.92 (step @p1817 :rule cong :premises (@p1816) :args ((forall @t9 @t4116))) % 1.71/1.92 (step @p1818 :rule trans :premises (@p1817 @p1814)) % 1.71/1.92 (step @p1819 :rule bool-impl-elim :args (@t7 @t4115)) % 1.71/1.92 (step @p1820 :rule cong :premises (@p1819) :args ((forall @t9 (=> @t7 @t4115)))) % 1.71/1.92 (step @p1821 :rule trans :premises (@p1820 @p1818)) % 1.71/1.92 (step @p1822 :rule cong :premises (@p1695) :args (@t4117)) % 1.71/1.92 (step @p1823 :rule cong :premises (@p1706) :args (@t4118)) % 1.71/1.92 (step @p1824 :rule nary_cong :premises (@p1823 @p1822) :args (@t4119)) % 1.71/1.92 (step @p1825 :rule nary_cong :premises (@p1018 @p1824 @p1641) :args (@t4120)) % 1.71/1.92 (step @p1826 :rule cong :premises (@p1825) :args ((forall @t70 @t4120))) % 1.71/1.92 (step @p1827 :rule aci_norm :args ((= (or @t3841 (or @t4119 @t1700)) @t4120))) % 1.71/1.92 (step @p1828 :rule bool-or-de-morgan :args (@t942 @t996 false)) % 1.71/1.92 (step @p1829 :rule nary_cong :premises (@p1828 @p1633) :args ((or (not @t1719) @t1700))) % 1.71/1.92 (step @p1830 :rule bool-impl-elim :args (@t1719 @t1700)) % 1.71/1.92 (step @p1831 :rule trans :premises (@p1830 @p1829)) % 1.71/1.92 (step @p1832 :rule nary_cong :premises (@p1649 @p1831) :args ((or @t3841 @t1720))) % 1.71/1.92 (step @p1833 :rule trans :premises (@p1832 @p1827)) % 1.71/1.92 (step @p1834 :rule bool-impl-elim :args (@t21 @t1720)) % 1.71/1.92 (step @p1835 :rule trans :premises (@p1834 @p1833)) % 1.71/1.92 (step @p1836 :rule cong :premises (@p1835) :args (@t1721)) % 1.71/1.92 (step @p1837 :rule trans :premises (@p1836 @p1826)) % 1.71/1.92 (step @p1838 :rule cong :premises (@p1729 @p1837) :args (@t1722)) % 1.71/1.92 (step @p1839 :rule cong :premises (@p1838) :args (@t1723)) % 1.71/1.92 (step @p1840 :rule trans :premises (@p1839 @p1821)) % 1.71/1.92 (step @p1841 :rule cong :premises (@p1360 @p1840) :args (@t1724)) % 1.71/1.92 (step @p1842 :rule cong :premises (@p1841) :args (@t1725)) % 1.71/1.92 (step @p1843 :rule trans :premises (@p1842 @p1803)) % 1.71/1.92 (step @p1844 :rule cong :premises (@p1364 @p1843) :args (@t1726)) % 1.71/1.92 (step @p1845 :rule cong :premises (@p1844) :args (@t1727)) % 1.71/1.92 (step @p1846 :rule trans :premises (@p1845 @p1785)) % 1.71/1.92 (step @p1847 :rule refl :args (tptp.breln1unionI)) % 1.71/1.92 (step @p1848 :rule cong :premises (@p1847 @p1846) :args (@t1728)) % 1.71/1.92 (step @p1849 :rule eq_resolve :premises (@p302 @p1848)) % 1.71/1.92 (step @p1850 :rule cong :premises (@p1849 @p1767) :args (@t4121)) % 1.71/1.92 (step @p1851 :rule aci_norm :args ((= @t4123 @t2284))) % 1.71/1.92 (step @p1852 :rule cong :premises (@p1851) :args (@t4124)) % 1.71/1.92 (step @p1853 :rule quant-merge-prenex :args ((= (forall @t1561 @t4126) @t4124))) % 1.71/1.92 (step @p1854 :rule alpha_equiv :args (@t4127 (@list @t2275 @t2277 @t2276) (@list @t994 @t4129 @t4128))) % 1.71/1.92 (step @p1855 :rule nary_cong :premises (@p1212 @p1854) :args (@t4130)) % 1.71/1.92 (step @p1856 :rule quant-miniscope-or :args ((= @t4126 @t4130))) % 1.71/1.92 (step @p1857 :rule trans :premises (@p1856 @p1855)) % 1.71/1.92 (step @p1858 :rule symm :premises (@p1857)) % 1.71/1.92 (step @p1859 :rule cong :premises (@p1858) :args ((forall @t1561 (or @t2230 @t4138)))) % 1.71/1.92 (step @p1860 :rule trans :premises (@p1859 @p1853)) % 1.71/1.92 (step @p1861 :rule trans :premises (@p1860 @p1852)) % 1.71/1.92 (step @p1862 :rule refl :args (@t4138)) % 1.71/1.92 (step @p1863 :rule nary_cong :premises (@p1226 @p1862) :args (@t4139)) % 1.71/1.92 (step @p1864 :rule cong :premises (@p1863) :args ((forall @t1561 @t4139))) % 1.71/1.92 (step @p1865 :rule trans :premises (@p1864 @p1861)) % 1.71/1.92 (step @p1866 :rule bool-impl-elim :args (@t1559 @t4138)) % 1.71/1.92 (step @p1867 :rule cong :premises (@p1866) :args ((forall @t1561 (=> @t1559 @t4138)))) % 1.71/1.92 (step @p1868 :rule trans :premises (@p1867 @p1865)) % 1.71/1.92 (step @p1869 :rule aci_norm :args ((= @t4141 @t4136))) % 1.71/1.92 (step @p1870 :rule cong :premises (@p1869) :args (@t4142)) % 1.71/1.92 (step @p1871 :rule quant-merge-prenex :args ((= (forall @t1004 @t4144) @t4142))) % 1.71/1.92 (step @p1872 :rule alpha_equiv :args (@t4145 (@list @t4129 @t4128) (@list @t4 @t4146))) % 1.71/1.92 (step @p1873 :rule nary_cong :premises (@p1237 @p1872) :args (@t4147)) % 1.71/1.92 (step @p1874 :rule quant-miniscope-or :args ((= @t4144 @t4147))) % 1.71/1.92 (step @p1875 :rule trans :premises (@p1874 @p1873)) % 1.71/1.92 (step @p1876 :rule symm :premises (@p1875)) % 1.71/1.92 (step @p1877 :rule cong :premises (@p1876) :args ((forall @t1004 (or @t3913 @t4154)))) % 1.71/1.92 (step @p1878 :rule trans :premises (@p1877 @p1871)) % 1.71/1.92 (step @p1879 :rule trans :premises (@p1878 @p1870)) % 1.71/1.92 (step @p1880 :rule refl :args (@t4154)) % 1.71/1.92 (step @p1881 :rule nary_cong :premises (@p1251 @p1880) :args (@t4155)) % 1.71/1.92 (step @p1882 :rule cong :premises (@p1881) :args ((forall @t1004 @t4155))) % 1.71/1.92 (step @p1883 :rule trans :premises (@p1882 @p1879)) % 1.71/1.92 (step @p1884 :rule bool-impl-elim :args (@t1604 @t4154)) % 1.71/1.92 (step @p1885 :rule cong :premises (@p1884) :args ((forall @t1004 (=> @t1604 @t4154)))) % 1.71/1.92 (step @p1886 :rule trans :premises (@p1885 @p1883)) % 1.71/1.92 (step @p1887 :rule aci_norm :args ((= @t4157 @t4152))) % 1.71/1.92 (step @p1888 :rule cong :premises (@p1887) :args (@t4158)) % 1.71/1.92 (step @p1889 :rule quant-merge-prenex :args ((= (forall @t9 @t4160) @t4158))) % 1.71/1.92 (step @p1890 :rule alpha_equiv :args (@t4161 (@list @t4146) @t3833)) % 1.71/1.92 (step @p1891 :rule nary_cong :premises (@p1601 @p1890) :args (@t4162)) % 1.71/1.92 (step @p1892 :rule quant-miniscope-or :args ((= @t4160 @t4162))) % 1.71/1.92 (step @p1893 :rule trans :premises (@p1892 @p1891)) % 1.71/1.92 (step @p1894 :rule symm :premises (@p1893)) % 1.71/1.92 (step @p1895 :rule cong :premises (@p1894) :args ((forall @t9 (or @t2357 @t4163)))) % 1.71/1.92 (step @p1896 :rule trans :premises (@p1895 @p1889)) % 1.71/1.92 (step @p1897 :rule trans :premises (@p1896 @p1888)) % 1.71/1.92 (step @p1898 :rule refl :args (@t4163)) % 1.71/1.92 (step @p1899 :rule nary_cong :premises (@p1615 @p1898) :args (@t4164)) % 1.71/1.92 (step @p1900 :rule cong :premises (@p1899) :args ((forall @t9 @t4164))) % 1.71/1.92 (step @p1901 :rule trans :premises (@p1900 @p1897)) % 1.71/1.92 (step @p1902 :rule bool-impl-elim :args (@t7 @t4163)) % 1.71/1.92 (step @p1903 :rule cong :premises (@p1902) :args ((forall @t9 (=> @t7 @t4163)))) % 1.71/1.92 (step @p1904 :rule trans :premises (@p1903 @p1901)) % 1.71/1.92 (step @p1905 :rule nary_cong :premises (@p1018 @p1822 @p1641) :args (@t4165)) % 1.71/1.92 (step @p1906 :rule cong :premises (@p1905) :args ((forall @t70 @t4165))) % 1.71/1.92 (step @p1907 :rule aci_norm :args ((= (or @t3841 (or @t4117 @t1700)) @t4165))) % 1.71/1.92 (step @p1908 :rule bool-impl-elim :args (@t996 @t1700)) % 1.71/1.92 (step @p1909 :rule nary_cong :premises (@p1649 @p1908) :args ((or @t3841 @t1710))) % 1.71/1.92 (step @p1910 :rule trans :premises (@p1909 @p1907)) % 1.71/1.92 (step @p1911 :rule bool-impl-elim :args (@t21 @t1710)) % 1.71/1.92 (step @p1912 :rule trans :premises (@p1911 @p1910)) % 1.71/1.92 (step @p1913 :rule cong :premises (@p1912) :args (@t1711)) % 1.71/1.92 (step @p1914 :rule trans :premises (@p1913 @p1906)) % 1.71/1.92 (step @p1915 :rule cong :premises (@p1729 @p1914) :args (@t1712)) % 1.71/1.92 (step @p1916 :rule cong :premises (@p1915) :args (@t1713)) % 1.71/1.92 (step @p1917 :rule trans :premises (@p1916 @p1904)) % 1.71/1.92 (step @p1918 :rule cong :premises (@p1360 @p1917) :args (@t1714)) % 1.71/1.92 (step @p1919 :rule cong :premises (@p1918) :args (@t1715)) % 1.71/1.92 (step @p1920 :rule trans :premises (@p1919 @p1886)) % 1.71/1.92 (step @p1921 :rule cong :premises (@p1364 @p1920) :args (@t1716)) % 1.71/1.92 (step @p1922 :rule cong :premises (@p1921) :args (@t1717)) % 1.71/1.92 (step @p1923 :rule trans :premises (@p1922 @p1868)) % 1.71/1.92 (step @p1924 :rule refl :args (tptp.breln1unionIR)) % 1.71/1.92 (step @p1925 :rule cong :premises (@p1924 @p1923) :args (@t1718)) % 1.71/1.92 (step @p1926 :rule eq_resolve :premises (@p301 @p1925)) % 1.71/1.92 (step @p1927 :rule cong :premises (@p1926 @p1850) :args (@t4166)) % 1.71/1.92 (step @p1928 :rule aci_norm :args ((= @t4168 @t2295))) % 1.71/1.92 (step @p1929 :rule cong :premises (@p1928) :args (@t4169)) % 1.71/1.92 (step @p1930 :rule quant-merge-prenex :args ((= (forall @t1561 @t4171) @t4169))) % 1.71/1.92 (step @p1931 :rule alpha_equiv :args (@t4172 (@list @t2286 @t2288 @t2287) (@list @t994 @t4174 @t4173))) % 1.71/1.92 (step @p1932 :rule nary_cong :premises (@p1212 @p1931) :args (@t4175)) % 1.71/1.92 (step @p1933 :rule quant-miniscope-or :args ((= @t4171 @t4175))) % 1.71/1.92 (step @p1934 :rule trans :premises (@p1933 @p1932)) % 1.71/1.92 (step @p1935 :rule symm :premises (@p1934)) % 1.71/1.92 (step @p1936 :rule cong :premises (@p1935) :args ((forall @t1561 (or @t2230 @t4183)))) % 1.71/1.92 (step @p1937 :rule trans :premises (@p1936 @p1930)) % 1.71/1.92 (step @p1938 :rule trans :premises (@p1937 @p1929)) % 1.71/1.92 (step @p1939 :rule refl :args (@t4183)) % 1.71/1.92 (step @p1940 :rule nary_cong :premises (@p1226 @p1939) :args (@t4184)) % 1.71/1.92 (step @p1941 :rule cong :premises (@p1940) :args ((forall @t1561 @t4184))) % 1.71/1.92 (step @p1942 :rule trans :premises (@p1941 @p1938)) % 1.71/1.92 (step @p1943 :rule bool-impl-elim :args (@t1559 @t4183)) % 1.71/1.92 (step @p1944 :rule cong :premises (@p1943) :args ((forall @t1561 (=> @t1559 @t4183)))) % 1.71/1.92 (step @p1945 :rule trans :premises (@p1944 @p1942)) % 1.71/1.92 (step @p1946 :rule aci_norm :args ((= @t4186 @t4181))) % 1.71/1.92 (step @p1947 :rule cong :premises (@p1946) :args (@t4187)) % 1.71/1.92 (step @p1948 :rule quant-merge-prenex :args ((= (forall @t1004 @t4189) @t4187))) % 1.71/1.92 (step @p1949 :rule alpha_equiv :args (@t4190 (@list @t4174 @t4173) (@list @t4 @t4191))) % 1.71/1.92 (step @p1950 :rule nary_cong :premises (@p1237 @p1949) :args (@t4192)) % 1.71/1.92 (step @p1951 :rule quant-miniscope-or :args ((= @t4189 @t4192))) % 1.71/1.92 (step @p1952 :rule trans :premises (@p1951 @p1950)) % 1.71/1.92 (step @p1953 :rule symm :premises (@p1952)) % 1.71/1.92 (step @p1954 :rule cong :premises (@p1953) :args ((forall @t1004 (or @t3913 @t4199)))) % 1.71/1.92 (step @p1955 :rule trans :premises (@p1954 @p1948)) % 1.71/1.92 (step @p1956 :rule trans :premises (@p1955 @p1947)) % 1.71/1.92 (step @p1957 :rule refl :args (@t4199)) % 1.71/1.92 (step @p1958 :rule nary_cong :premises (@p1251 @p1957) :args (@t4200)) % 1.71/1.92 (step @p1959 :rule cong :premises (@p1958) :args ((forall @t1004 @t4200))) % 1.71/1.92 (step @p1960 :rule trans :premises (@p1959 @p1956)) % 1.71/1.92 (step @p1961 :rule bool-impl-elim :args (@t1604 @t4199)) % 1.71/1.92 (step @p1962 :rule cong :premises (@p1961) :args ((forall @t1004 (=> @t1604 @t4199)))) % 1.71/1.92 (step @p1963 :rule trans :premises (@p1962 @p1960)) % 1.71/1.92 (step @p1964 :rule aci_norm :args ((= @t4202 @t4197))) % 1.71/1.92 (step @p1965 :rule cong :premises (@p1964) :args (@t4203)) % 1.71/1.92 (step @p1966 :rule quant-merge-prenex :args ((= (forall @t9 @t4205) @t4203))) % 1.71/1.92 (step @p1967 :rule alpha_equiv :args (@t4206 (@list @t4191) @t3833)) % 1.71/1.92 (step @p1968 :rule nary_cong :premises (@p1601 @p1967) :args (@t4207)) % 1.71/1.92 (step @p1969 :rule quant-miniscope-or :args ((= @t4205 @t4207))) % 1.71/1.92 (step @p1970 :rule trans :premises (@p1969 @p1968)) % 1.71/1.92 (step @p1971 :rule symm :premises (@p1970)) % 1.71/1.92 (step @p1972 :rule cong :premises (@p1971) :args ((forall @t9 (or @t2357 @t4208)))) % 1.71/1.92 (step @p1973 :rule trans :premises (@p1972 @p1966)) % 1.71/1.92 (step @p1974 :rule trans :premises (@p1973 @p1965)) % 1.71/1.92 (step @p1975 :rule refl :args (@t4208)) % 1.71/1.92 (step @p1976 :rule nary_cong :premises (@p1615 @p1975) :args (@t4209)) % 1.71/1.92 (step @p1977 :rule cong :premises (@p1976) :args ((forall @t9 @t4209))) % 1.71/1.92 (step @p1978 :rule trans :premises (@p1977 @p1974)) % 1.71/1.92 (step @p1979 :rule bool-impl-elim :args (@t7 @t4208)) % 1.71/1.92 (step @p1980 :rule cong :premises (@p1979) :args ((forall @t9 (=> @t7 @t4208)))) % 1.71/1.92 (step @p1981 :rule trans :premises (@p1980 @p1978)) % 1.71/1.92 (step @p1982 :rule nary_cong :premises (@p1018 @p1823 @p1641) :args (@t4210)) % 1.71/1.92 (step @p1983 :rule cong :premises (@p1982) :args ((forall @t70 @t4210))) % 1.71/1.92 (step @p1984 :rule aci_norm :args ((= (or @t3841 (or @t4118 @t1700)) @t4210))) % 1.71/1.92 (step @p1985 :rule bool-impl-elim :args (@t942 @t1700)) % 1.71/1.92 (step @p1986 :rule nary_cong :premises (@p1649 @p1985) :args ((or @t3841 @t1701))) % 1.71/1.92 (step @p1987 :rule trans :premises (@p1986 @p1984)) % 1.71/1.92 (step @p1988 :rule bool-impl-elim :args (@t21 @t1701)) % 1.71/1.92 (step @p1989 :rule trans :premises (@p1988 @p1987)) % 1.71/1.92 (step @p1990 :rule cong :premises (@p1989) :args (@t1702)) % 1.71/1.92 (step @p1991 :rule trans :premises (@p1990 @p1983)) % 1.71/1.92 (step @p1992 :rule cong :premises (@p1729 @p1991) :args (@t1703)) % 1.71/1.92 (step @p1993 :rule cong :premises (@p1992) :args (@t1704)) % 1.71/1.92 (step @p1994 :rule trans :premises (@p1993 @p1981)) % 1.71/1.92 (step @p1995 :rule cong :premises (@p1360 @p1994) :args (@t1705)) % 1.71/1.92 (step @p1996 :rule cong :premises (@p1995) :args (@t1706)) % 1.71/1.92 (step @p1997 :rule trans :premises (@p1996 @p1963)) % 1.71/1.92 (step @p1998 :rule cong :premises (@p1364 @p1997) :args (@t1707)) % 1.71/1.92 (step @p1999 :rule cong :premises (@p1998) :args (@t1708)) % 1.71/1.92 (step @p2000 :rule trans :premises (@p1999 @p1945)) % 1.71/1.92 (step @p2001 :rule refl :args (tptp.breln1unionIL)) % 1.71/1.92 (step @p2002 :rule cong :premises (@p2001 @p2000) :args (@t1709)) % 1.71/1.92 (step @p2003 :rule eq_resolve :premises (@p300 @p2002)) % 1.71/1.92 (step @p2004 :rule cong :premises (@p2003 @p1927) :args (@t4211)) % 1.71/1.92 (step @p2005 :rule aci_norm :args ((= @t4213 @t2300))) % 1.71/1.92 (step @p2006 :rule cong :premises (@p2005) :args (@t4214)) % 1.71/1.92 (step @p2007 :rule quant-merge-prenex :args ((= (forall @t1561 @t4216) @t4214))) % 1.71/1.92 (step @p2008 :rule alpha_equiv :args (@t4217 (@list @t2297) @t3977)) % 1.71/1.92 (step @p2009 :rule nary_cong :premises (@p1212 @p2008) :args (@t4218)) % 1.71/1.92 (step @p2010 :rule quant-miniscope-or :args ((= @t4216 @t4218))) % 1.71/1.92 (step @p2011 :rule trans :premises (@p2010 @p2009)) % 1.71/1.92 (step @p2012 :rule symm :premises (@p2011)) % 1.71/1.92 (step @p2013 :rule cong :premises (@p2012) :args ((forall @t1561 (or @t2230 @t4220)))) % 1.71/1.92 (step @p2014 :rule trans :premises (@p2013 @p2007)) % 1.71/1.92 (step @p2015 :rule trans :premises (@p2014 @p2006)) % 1.71/1.92 (step @p2016 :rule refl :args (@t4220)) % 1.71/1.92 (step @p2017 :rule nary_cong :premises (@p1226 @p2016) :args (@t4221)) % 1.71/1.92 (step @p2018 :rule cong :premises (@p2017) :args ((forall @t1561 @t4221))) % 1.71/1.92 (step @p2019 :rule trans :premises (@p2018 @p2015)) % 1.71/1.92 (step @p2020 :rule bool-impl-elim :args (@t1559 @t4220)) % 1.71/1.92 (step @p2021 :rule cong :premises (@p2020) :args ((forall @t1561 (=> @t1559 @t4220)))) % 1.71/1.92 (step @p2022 :rule trans :premises (@p2021 @p2019)) % 1.71/1.92 (step @p2023 :rule refl :args ((tptp.breln1 @t2 @t1694))) % 1.71/1.92 (step @p2024 :rule cong :premises (@p973 @p1332) :args (@t4219)) % 1.71/1.92 (step @p2025 :rule trans :premises (@p2024 @p2023)) % 1.71/1.92 (step @p2026 :rule refl :args (@t1558)) % 1.71/1.92 (step @p2027 :rule ho_cong :premises (@p2026 @p1332)) % 1.71/1.92 (step @p2028 :rule cong :premises (@p2027 @p2025) :args ((= (_ @t1558 @t3909) @t4219))) % 1.71/1.92 (step @p2029 :rule symm :premises (@p2028)) % 1.71/1.92 (step @p2030 :rule refl :args (@t1695)) % 1.71/1.92 (step @p2031 :rule eq_resolve :premises (@p2030 @p2029)) % 1.71/1.92 (step @p2032 :rule ho_cong :premises (@p2026 @p1344)) % 1.71/1.92 (step @p2033 :rule trans :premises (@p2032 @p2031)) % 1.71/1.92 (step @p2034 :rule nary_cong :premises (@p1251 @p2033) :args (@t4222)) % 1.71/1.92 (step @p2035 :rule cong :premises (@p2034) :args ((forall @t1004 @t4222))) % 1.71/1.92 (step @p2036 :rule bool-impl-elim :args (@t1604 @t1695)) % 1.71/1.92 (step @p2037 :rule cong :premises (@p2036) :args (@t1696)) % 1.71/1.92 (step @p2038 :rule trans :premises (@p2037 @p2035)) % 1.71/1.92 (step @p2039 :rule cong :premises (@p1364 @p2038) :args (@t1697)) % 1.71/1.92 (step @p2040 :rule cong :premises (@p2039) :args (@t1698)) % 1.71/1.92 (step @p2041 :rule trans :premises (@p2040 @p2022)) % 1.71/1.92 (step @p2042 :rule refl :args (tptp.breln1unionprop)) % 1.71/1.92 (step @p2043 :rule cong :premises (@p2042 @p2041) :args (@t1699)) % 1.71/1.92 (step @p2044 :rule eq_resolve :premises (@p299 @p2043)) % 1.71/1.92 (step @p2045 :rule cong :premises (@p2044 @p2004) :args (@t4223)) % 1.71/1.92 (step @p2046 :rule aci_norm :args ((= @t4225 @t2312))) % 1.71/1.92 (step @p2047 :rule cong :premises (@p2046) :args (@t4226)) % 1.71/1.92 (step @p2048 :rule quant-merge-prenex :args ((= (forall @t1561 @t4228) @t4226))) % 1.71/1.92 (step @p2049 :rule alpha_equiv :args (@t4229 (@list @t2302 @t2304 @t2303) (@list @t994 @t4231 @t4230))) % 1.71/1.92 (step @p2050 :rule nary_cong :premises (@p1212 @p2049) :args (@t4232)) % 1.71/1.92 (step @p2051 :rule quant-miniscope-or :args ((= @t4228 @t4232))) % 1.71/1.92 (step @p2052 :rule trans :premises (@p2051 @p2050)) % 1.71/1.92 (step @p2053 :rule symm :premises (@p2052)) % 1.71/1.92 (step @p2054 :rule cong :premises (@p2053) :args ((forall @t1561 (or @t2230 @t4239)))) % 1.71/1.92 (step @p2055 :rule trans :premises (@p2054 @p2048)) % 1.71/1.92 (step @p2056 :rule trans :premises (@p2055 @p2047)) % 1.71/1.92 (step @p2057 :rule refl :args (@t4239)) % 1.71/1.92 (step @p2058 :rule nary_cong :premises (@p1226 @p2057) :args (@t4240)) % 1.71/1.92 (step @p2059 :rule cong :premises (@p2058) :args ((forall @t1561 @t4240))) % 1.71/1.92 (step @p2060 :rule trans :premises (@p2059 @p2056)) % 1.71/1.92 (step @p2061 :rule bool-impl-elim :args (@t1559 @t4239)) % 1.71/1.92 (step @p2062 :rule cong :premises (@p2061) :args ((forall @t1561 (=> @t1559 @t4239)))) % 1.71/1.92 (step @p2063 :rule trans :premises (@p2062 @p2060)) % 1.71/1.92 (step @p2064 :rule aci_norm :args ((= @t4242 @t4237))) % 1.71/1.92 (step @p2065 :rule cong :premises (@p2064) :args (@t4243)) % 1.71/1.92 (step @p2066 :rule quant-merge-prenex :args ((= (forall @t1004 @t4245) @t4243))) % 1.71/1.92 (step @p2067 :rule alpha_equiv :args (@t4246 (@list @t4231 @t4230) (@list @t4 @t4247))) % 1.71/1.92 (step @p2068 :rule nary_cong :premises (@p1237 @p2067) :args (@t4248)) % 1.71/1.92 (step @p2069 :rule quant-miniscope-or :args ((= @t4245 @t4248))) % 1.71/1.92 (step @p2070 :rule trans :premises (@p2069 @p2068)) % 1.71/1.92 (step @p2071 :rule symm :premises (@p2070)) % 1.71/1.92 (step @p2072 :rule cong :premises (@p2071) :args ((forall @t1004 (or @t3913 @t4257)))) % 1.71/1.92 (step @p2073 :rule trans :premises (@p2072 @p2066)) % 1.71/1.92 (step @p2074 :rule trans :premises (@p2073 @p2065)) % 1.71/1.92 (step @p2075 :rule refl :args (@t4257)) % 1.71/1.92 (step @p2076 :rule nary_cong :premises (@p1251 @p2075) :args (@t4258)) % 1.71/1.92 (step @p2077 :rule cong :premises (@p2076) :args ((forall @t1004 @t4258))) % 1.71/1.92 (step @p2078 :rule trans :premises (@p2077 @p2074)) % 1.71/1.92 (step @p2079 :rule bool-impl-elim :args (@t1604 @t4257)) % 1.71/1.92 (step @p2080 :rule cong :premises (@p2079) :args ((forall @t1004 (=> @t1604 @t4257)))) % 1.71/1.92 (step @p2081 :rule trans :premises (@p2080 @p2078)) % 1.71/1.92 (step @p2082 :rule aci_norm :args ((= @t4260 @t4255))) % 1.71/1.92 (step @p2083 :rule cong :premises (@p2082) :args (@t4261)) % 1.71/1.92 (step @p2084 :rule quant-merge-prenex :args ((= (forall @t9 @t4263) @t4261))) % 1.71/1.92 (step @p2085 :rule alpha_equiv :args (@t4264 (@list @t4247) @t3833)) % 1.71/1.92 (step @p2086 :rule nary_cong :premises (@p1601 @p2085) :args (@t4265)) % 1.71/1.92 (step @p2087 :rule quant-miniscope-or :args ((= @t4263 @t4265))) % 1.71/1.92 (step @p2088 :rule trans :premises (@p2087 @p2086)) % 1.71/1.92 (step @p2089 :rule symm :premises (@p2088)) % 1.71/1.92 (step @p2090 :rule cong :premises (@p2089) :args ((forall @t9 (or @t2357 @t4271)))) % 1.71/1.92 (step @p2091 :rule trans :premises (@p2090 @p2084)) % 1.71/1.92 (step @p2092 :rule trans :premises (@p2091 @p2083)) % 1.71/1.92 (step @p2093 :rule refl :args (@t4271)) % 1.71/1.92 (step @p2094 :rule nary_cong :premises (@p1615 @p2093) :args (@t4272)) % 1.71/1.92 (step @p2095 :rule cong :premises (@p2094) :args ((forall @t9 @t4272))) % 1.71/1.92 (step @p2096 :rule trans :premises (@p2095 @p2092)) % 1.71/1.92 (step @p2097 :rule bool-impl-elim :args (@t7 @t4271)) % 1.71/1.92 (step @p2098 :rule cong :premises (@p2097) :args ((forall @t9 (=> @t7 @t4271)))) % 1.71/1.92 (step @p2099 :rule trans :premises (@p2098 @p2096)) % 1.71/1.92 (step @p2100 :rule refl :args (@t4269)) % 1.71/1.92 (step @p2101 :rule refl :args ((tptp.in @t633 @t1643))) % 1.71/1.92 (step @p2102 :rule cong :premises (@p1625 @p1477) :args (@t4270)) % 1.71/1.92 (step @p2103 :rule trans :premises (@p2102 @p2101)) % 1.71/1.92 (step @p2104 :rule ho_cong :premises (@p1629 @p1477)) % 1.71/1.92 (step @p2105 :rule cong :premises (@p2104 @p2103) :args ((= (_ @t4048 @t3980) @t4270))) % 1.71/1.92 (step @p2106 :rule symm :premises (@p2105)) % 1.71/1.92 (step @p2107 :rule refl :args (@t1649)) % 1.71/1.92 (step @p2108 :rule eq_resolve :premises (@p2107 @p2106)) % 1.71/1.92 (step @p2109 :rule ho_cong :premises (@p1639 @p1488)) % 1.71/1.92 (step @p2110 :rule trans :premises (@p2109 @p2108)) % 1.71/1.92 (step @p2111 :rule cong :premises (@p2110) :args (@t4273)) % 1.71/1.92 (step @p2112 :rule nary_cong :premises (@p1018 @p2111 @p2100) :args (@t4274)) % 1.71/1.92 (step @p2113 :rule cong :premises (@p2112) :args ((forall @t70 @t4274))) % 1.71/1.92 (step @p2114 :rule aci_norm :args ((= (or @t3841 (or @t4273 @t4269)) @t4274))) % 1.71/1.92 (step @p2115 :rule bool-impl-elim :args (@t1649 @t4269)) % 1.71/1.92 (step @p2116 :rule nary_cong :premises (@p1649 @p2115) :args ((or @t3841 @t4275))) % 1.71/1.92 (step @p2117 :rule trans :premises (@p2116 @p2114)) % 1.71/1.92 (step @p2118 :rule bool-impl-elim :args (@t21 @t4275)) % 1.71/1.92 (step @p2119 :rule trans :premises (@p2118 @p2117)) % 1.71/1.92 (step @p2120 :rule cong :premises (@p2119) :args ((forall @t70 (=> @t21 @t4275)))) % 1.71/1.92 (step @p2121 :rule trans :premises (@p2120 @p2113)) % 1.71/1.92 (step @p2122 :rule aci_norm :args ((= (and true @t4269) @t4269))) % 1.71/1.92 (step @p2123 :rule refl :args (@t4269)) % 1.71/1.92 (step @p2124 :rule nary_cong :premises (@p1657 @p2123) :args (@t4276)) % 1.71/1.92 (step @p2125 :rule trans :premises (@p2124 @p2122)) % 1.71/1.92 (step @p2126 :rule aci_norm :args ((= @t4277 @t4276))) % 1.71/1.92 (step @p2127 :rule trans :premises (@p2126 @p2125)) % 1.71/1.92 (step @p2128 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t4278 @t173)) @t4277))) % 1.71/1.92 (step @p2129 :rule refl :args (@t4278)) % 1.71/1.92 (step @p2130 :rule nary_cong :premises (@p1677 @p2129 @p1669) :args (@t4279)) % 1.71/1.92 (step @p2131 :rule aci_norm :args ((= @t4280 @t4279))) % 1.71/1.92 (step @p2132 :rule trans :premises (@p2131 @p2130)) % 1.71/1.92 (step @p2133 :rule cong :premises (@p2132) :args ((forall @t179 @t4280))) % 1.71/1.92 (step @p2134 :rule trans :premises (@p2133 @p2128)) % 1.71/1.92 (step @p2135 :rule trans :premises (@p2134 @p2127)) % 1.71/1.92 (step @p2136 :rule bool-or-de-morgan :args (@t173 @t4268 false)) % 1.71/1.92 (step @p2137 :rule nary_cong :premises (@p2136 @p1669) :args ((or (not @t4281) @t173))) % 1.71/1.92 (step @p2138 :rule bool-impl-elim :args (@t4281 @t173)) % 1.71/1.92 (step @p2139 :rule trans :premises (@p2138 @p2137)) % 1.71/1.92 (step @p2140 :rule cong :premises (@p2139) :args ((forall @t179 (=> @t4281 @t173)))) % 1.71/1.92 (step @p2141 :rule trans :premises (@p2140 @p2135)) % 1.71/1.92 (step @p2142 :rule refl :args (@t173)) % 1.71/1.92 (step @p2143 :rule refl :args ((tptp.in @t1650 @t994))) % 1.71/1.92 (step @p2144 :rule refl :args (@t4266)) % 1.71/1.92 (step @p2145 :rule cong :premises (@p2144 @p1686) :args (@t4267)) % 1.71/1.92 (step @p2146 :rule trans :premises (@p2145 @p2143)) % 1.71/1.92 (step @p2147 :rule ho_cong :premises (@p1628 @p2144)) % 1.71/1.92 (step @p2148 :rule ho_cong :premises (@p2147 @p1686)) % 1.71/1.92 (step @p2149 :rule cong :premises (@p2148 @p2146) :args ((= (_ (_ tptp.in @t4266) @t994) @t4267))) % 1.71/1.92 (step @p2150 :rule symm :premises (@p2149)) % 1.71/1.92 (step @p2151 :rule refl :args (@t1651)) % 1.71/1.92 (step @p2152 :rule eq_resolve :premises (@p2151 @p2150)) % 1.71/1.92 (step @p2153 :rule refl :args (@t1650)) % 1.71/1.92 (step @p2154 :rule cong :premises (@p2153 @p2144) :args ((= @t1650 @t4266))) % 1.71/1.92 (step @p2155 :rule symm :premises (@p2154)) % 1.71/1.92 (step @p2156 :rule eq_resolve :premises (@p2153 @p2155)) % 1.71/1.92 (step @p2157 :rule ho_cong :premises (@p1628 @p2156)) % 1.71/1.92 (step @p2158 :rule ho_cong :premises (@p2157 @p1686)) % 1.71/1.92 (step @p2159 :rule trans :premises (@p2158 @p2152)) % 1.71/1.92 (step @p2160 :rule cong :premises (@p2159) :args (@t4282)) % 1.71/1.92 (step @p2161 :rule refl :args ((tptp.in @t1653 @t938))) % 1.71/1.92 (step @p2162 :rule refl :args (@t4249)) % 1.71/1.92 (step @p2163 :rule cong :premises (@p2162 @p1514) :args (@t4250)) % 1.71/1.92 (step @p2164 :rule trans :premises (@p2163 @p2161)) % 1.71/1.92 (step @p2165 :rule ho_cong :premises (@p1628 @p2162)) % 1.71/1.92 (step @p2166 :rule ho_cong :premises (@p2165 @p1514)) % 1.71/1.92 (step @p2167 :rule cong :premises (@p2166 @p2164) :args ((= (_ (_ tptp.in @t4249) @t938) @t4250))) % 1.71/1.92 (step @p2168 :rule symm :premises (@p2167)) % 1.71/1.92 (step @p2169 :rule refl :args (@t1654)) % 1.71/1.92 (step @p2170 :rule eq_resolve :premises (@p2169 @p2168)) % 1.71/1.92 (step @p2171 :rule refl :args (@t1653)) % 1.71/1.92 (step @p2172 :rule cong :premises (@p2171 @p2162) :args ((= @t1653 @t4249))) % 1.71/1.92 (step @p2173 :rule symm :premises (@p2172)) % 1.71/1.92 (step @p2174 :rule eq_resolve :premises (@p2171 @p2173)) % 1.71/1.92 (step @p2175 :rule ho_cong :premises (@p1628 @p2174)) % 1.71/1.92 (step @p2176 :rule ho_cong :premises (@p2175 @p1514)) % 1.71/1.92 (step @p2177 :rule trans :premises (@p2176 @p2170)) % 1.71/1.92 (step @p2178 :rule cong :premises (@p2177) :args (@t4283)) % 1.71/1.92 (step @p2179 :rule refl :args (@t2305)) % 1.71/1.92 (step @p2180 :rule refl :args (@t1656)) % 1.71/1.92 (step @p2181 :rule cong :premises (@p2180 @p2179) :args ((= @t1656 @t2305))) % 1.71/1.92 (step @p2182 :rule symm :premises (@p2181)) % 1.71/1.92 (step @p2183 :rule eq_resolve :premises (@p2180 @p2182)) % 1.71/1.92 (step @p2184 :rule cong :premises (@p2183) :args (@t4284)) % 1.71/1.92 (step @p2185 :rule nary_cong :premises (@p2184 @p2178 @p2160) :args (@t4285)) % 1.71/1.92 (step @p2186 :rule cong :premises (@p2185) :args (@t4286)) % 1.71/1.92 (step @p2187 :rule nary_cong :premises (@p2142 @p2186) :args (@t4287)) % 1.71/1.92 (step @p2188 :rule quant-miniscope-or :args ((= (forall @t1068 @t4288) @t4287))) % 1.71/1.92 (step @p2189 :rule aci_norm :args ((= @t4289 @t4288))) % 1.71/1.92 (step @p2190 :rule cong :premises (@p2189) :args ((forall @t1068 @t4289))) % 1.71/1.92 (step @p2191 :rule trans :premises (@p2190 @p2188)) % 1.71/1.92 (step @p2192 :rule trans :premises (@p2191 @p2187)) % 1.71/1.92 (step @p2193 :rule aci_norm :args ((= (or @t4284 @t4290) @t4289))) % 1.71/1.92 (step @p2194 :rule aci_norm :args ((= (or @t4283 (or @t4282 @t173)) @t4290))) % 1.71/1.92 (step @p2195 :rule bool-impl-elim :args (@t1651 @t173)) % 1.71/1.92 (step @p2196 :rule refl :args (@t4283)) % 1.71/1.92 (step @p2197 :rule nary_cong :premises (@p2196 @p2195) :args ((or @t4283 @t1679))) % 1.71/1.92 (step @p2198 :rule trans :premises (@p2197 @p2194)) % 1.71/1.92 (step @p2199 :rule bool-impl-elim :args (@t1654 @t1679)) % 1.71/1.92 (step @p2200 :rule trans :premises (@p2199 @p2198)) % 1.71/1.92 (step @p2201 :rule refl :args (@t4284)) % 1.71/1.92 (step @p2202 :rule nary_cong :premises (@p2201 @p2200) :args ((or @t4284 @t1680))) % 1.71/1.92 (step @p2203 :rule trans :premises (@p2202 @p2193)) % 1.71/1.92 (step @p2204 :rule bool-impl-elim :args (@t1656 @t1680)) % 1.71/1.92 (step @p2205 :rule trans :premises (@p2204 @p2203)) % 1.71/1.92 (step @p2206 :rule cong :premises (@p2205) :args (@t1681)) % 1.71/1.92 (step @p2207 :rule trans :premises (@p2206 @p2192)) % 1.71/1.92 (step @p2208 :rule cong :premises (@p2207 @p2142) :args (@t1682)) % 1.71/1.92 (step @p2209 :rule cong :premises (@p2208) :args (@t1683)) % 1.71/1.92 (step @p2210 :rule trans :premises (@p2209 @p2141)) % 1.71/1.92 (step @p2211 :rule refl :args (@t1649)) % 1.71/1.92 (step @p2212 :rule cong :premises (@p2211 @p2210) :args (@t1684)) % 1.71/1.92 (step @p2213 :rule cong :premises (@p1725 @p2212) :args (@t1685)) % 1.71/1.92 (step @p2214 :rule cong :premises (@p2213) :args (@t1686)) % 1.71/1.92 (step @p2215 :rule trans :premises (@p2214 @p2121)) % 1.71/1.92 (step @p2216 :rule cong :premises (@p1729 @p2215) :args (@t1687)) % 1.71/1.92 (step @p2217 :rule cong :premises (@p2216) :args (@t1688)) % 1.71/1.92 (step @p2218 :rule trans :premises (@p2217 @p2099)) % 1.71/1.92 (step @p2219 :rule cong :premises (@p1360 @p2218) :args (@t1689)) % 1.71/1.92 (step @p2220 :rule cong :premises (@p2219) :args (@t1690)) % 1.71/1.92 (step @p2221 :rule trans :premises (@p2220 @p2081)) % 1.71/1.92 (step @p2222 :rule cong :premises (@p1364 @p2221) :args (@t1691)) % 1.71/1.92 (step @p2223 :rule cong :premises (@p2222) :args (@t1692)) % 1.71/1.92 (step @p2224 :rule trans :premises (@p2223 @p2063)) % 1.71/1.92 (step @p2225 :rule refl :args (tptp.breln1compEex)) % 1.71/1.92 (step @p2226 :rule cong :premises (@p2225 @p2224) :args (@t1693)) % 1.71/1.92 (step @p2227 :rule eq_resolve :premises (@p298 @p2226)) % 1.71/1.92 (step @p2228 :rule cong :premises (@p2227 @p2045) :args (@t4291)) % 1.71/1.92 (step @p2229 :rule aci_norm :args ((= (or @t4284 (or @t4283 @t4282)) @t4285))) % 1.71/1.92 (step @p2230 :rule bool-and-de-morgan :args (@t1654 @t1651 true)) % 1.71/1.92 (step @p2231 :rule nary_cong :premises (@p2201 @p2230) :args ((or @t4284 (not (and @t1654 @t1651))))) % 1.71/1.92 (step @p2232 :rule bool-and-de-morgan :args (@t1656 @t1654 (and @t1651))) % 1.71/1.92 (step @p2233 :rule trans :premises (@p2232 @p2231)) % 1.71/1.92 (step @p2234 :rule trans :premises (@p2233 @p2229)) % 1.71/1.92 (step @p2235 :rule cong :premises (@p2234) :args (@t4292)) % 1.71/1.92 (step @p2236 :rule trans :premises (@p2235 @p2186)) % 1.71/1.92 (step @p2237 :rule cong :premises (@p2236) :args (@t4293)) % 1.71/1.92 (step @p2238 :rule exists-elim :args ((= @t1668 @t4293))) % 1.71/1.92 (step @p2239 :rule trans :premises (@p2238 @p2237)) % 1.71/1.92 (step @p2240 :rule cong :premises (@p2211 @p2239) :args (@t1669)) % 1.71/1.92 (step @p2241 :rule cong :premises (@p1725 @p2240) :args (@t1670)) % 1.71/1.92 (step @p2242 :rule cong :premises (@p2241) :args (@t1671)) % 1.71/1.92 (step @p2243 :rule trans :premises (@p2242 @p2121)) % 1.71/1.92 (step @p2244 :rule cong :premises (@p1729 @p2243) :args (@t1672)) % 1.71/1.92 (step @p2245 :rule cong :premises (@p2244) :args (@t1673)) % 1.71/1.92 (step @p2246 :rule trans :premises (@p2245 @p2099)) % 1.71/1.92 (step @p2247 :rule cong :premises (@p1360 @p2246) :args (@t1674)) % 1.71/1.92 (step @p2248 :rule cong :premises (@p2247) :args (@t1675)) % 1.71/1.92 (step @p2249 :rule trans :premises (@p2248 @p2081)) % 1.71/1.92 (step @p2250 :rule cong :premises (@p1364 @p2249) :args (@t1676)) % 1.71/1.92 (step @p2251 :rule cong :premises (@p2250) :args (@t1677)) % 1.71/1.92 (step @p2252 :rule trans :premises (@p2251 @p2063)) % 1.71/1.92 (step @p2253 :rule refl :args (tptp.breln1compE)) % 1.71/1.92 (step @p2254 :rule cong :premises (@p2253 @p2252) :args (@t1678)) % 1.71/1.92 (step @p2255 :rule eq_resolve :premises (@p297 @p2254)) % 1.71/1.92 (step @p2256 :rule cong :premises (@p2255 @p2228) :args (@t4294)) % 1.71/1.92 (step @p2257 :rule aci_norm :args ((= @t4296 @t2326))) % 1.71/1.92 (step @p2258 :rule cong :premises (@p2257) :args (@t4297)) % 1.71/1.92 (step @p2259 :rule quant-merge-prenex :args ((= (forall @t1561 @t4299) @t4297))) % 1.71/1.92 (step @p2260 :rule alpha_equiv :args (@t4300 (@list @t2315 @t2319 @t2316 @t2317) (@list @t994 @t4303 @t4302 @t4301))) % 1.71/1.92 (step @p2261 :rule nary_cong :premises (@p1212 @p2260) :args (@t4304)) % 1.71/1.92 (step @p2262 :rule quant-miniscope-or :args ((= @t4299 @t4304))) % 1.71/1.92 (step @p2263 :rule trans :premises (@p2262 @p2261)) % 1.71/1.92 (step @p2264 :rule symm :premises (@p2263)) % 1.71/1.92 (step @p2265 :rule cong :premises (@p2264) :args ((forall @t1561 (or @t2230 @t4313)))) % 1.71/1.92 (step @p2266 :rule trans :premises (@p2265 @p2259)) % 1.71/1.92 (step @p2267 :rule trans :premises (@p2266 @p2258)) % 1.71/1.92 (step @p2268 :rule refl :args (@t4313)) % 1.71/1.92 (step @p2269 :rule nary_cong :premises (@p1226 @p2268) :args (@t4314)) % 1.71/1.92 (step @p2270 :rule cong :premises (@p2269) :args ((forall @t1561 @t4314))) % 1.71/1.92 (step @p2271 :rule trans :premises (@p2270 @p2267)) % 1.71/1.92 (step @p2272 :rule bool-impl-elim :args (@t1559 @t4313)) % 1.71/1.92 (step @p2273 :rule cong :premises (@p2272) :args ((forall @t1561 (=> @t1559 @t4313)))) % 1.71/1.92 (step @p2274 :rule trans :premises (@p2273 @p2271)) % 1.71/1.92 (step @p2275 :rule aci_norm :args ((= @t4316 @t4311))) % 1.71/1.92 (step @p2276 :rule cong :premises (@p2275) :args (@t4317)) % 1.71/1.92 (step @p2277 :rule quant-merge-prenex :args ((= (forall @t1004 @t4319) @t4317))) % 1.71/1.92 (step @p2278 :rule alpha_equiv :args (@t4320 (@list @t4303 @t4302 @t4301) (@list @t4 @t4322 @t4321))) % 1.71/1.92 (step @p2279 :rule nary_cong :premises (@p1237 @p2278) :args (@t4323)) % 1.71/1.92 (step @p2280 :rule quant-miniscope-or :args ((= @t4319 @t4323))) % 1.71/1.92 (step @p2281 :rule trans :premises (@p2280 @p2279)) % 1.71/1.92 (step @p2282 :rule symm :premises (@p2281)) % 1.71/1.92 (step @p2283 :rule cong :premises (@p2282) :args ((forall @t1004 (or @t3913 @t4331)))) % 1.71/1.92 (step @p2284 :rule trans :premises (@p2283 @p2277)) % 1.71/1.92 (step @p2285 :rule trans :premises (@p2284 @p2276)) % 1.71/1.92 (step @p2286 :rule refl :args (@t4331)) % 1.71/1.92 (step @p2287 :rule nary_cong :premises (@p1251 @p2286) :args (@t4332)) % 1.71/1.92 (step @p2288 :rule cong :premises (@p2287) :args ((forall @t1004 @t4332))) % 1.71/1.92 (step @p2289 :rule trans :premises (@p2288 @p2285)) % 1.71/1.92 (step @p2290 :rule bool-impl-elim :args (@t1604 @t4331)) % 1.71/1.92 (step @p2291 :rule cong :premises (@p2290) :args ((forall @t1004 (=> @t1604 @t4331)))) % 1.71/1.92 (step @p2292 :rule trans :premises (@p2291 @p2289)) % 1.71/1.92 (step @p2293 :rule aci_norm :args ((= @t4334 @t4329))) % 1.71/1.92 (step @p2294 :rule cong :premises (@p2293) :args (@t4335)) % 1.71/1.92 (step @p2295 :rule quant-merge-prenex :args ((= (forall @t9 @t4337) @t4335))) % 1.71/1.92 (step @p2296 :rule alpha_equiv :args (@t4338 (@list @t4322 @t4321) (@list @t19 @t4339))) % 1.71/1.92 (step @p2297 :rule nary_cong :premises (@p1601 @p2296) :args (@t4340)) % 1.71/1.92 (step @p2298 :rule quant-miniscope-or :args ((= @t4337 @t4340))) % 1.71/1.92 (step @p2299 :rule trans :premises (@p2298 @p2297)) % 1.71/1.92 (step @p2300 :rule symm :premises (@p2299)) % 1.71/1.92 (step @p2301 :rule cong :premises (@p2300) :args ((forall @t9 (or @t2357 @t4346)))) % 1.71/1.92 (step @p2302 :rule trans :premises (@p2301 @p2295)) % 1.71/1.92 (step @p2303 :rule trans :premises (@p2302 @p2294)) % 1.71/1.92 (step @p2304 :rule refl :args (@t4346)) % 1.71/1.92 (step @p2305 :rule nary_cong :premises (@p1615 @p2304) :args (@t4347)) % 1.71/1.92 (step @p2306 :rule cong :premises (@p2305) :args ((forall @t9 @t4347))) % 1.71/1.92 (step @p2307 :rule trans :premises (@p2306 @p2303)) % 1.71/1.92 (step @p2308 :rule bool-impl-elim :args (@t7 @t4346)) % 1.71/1.92 (step @p2309 :rule cong :premises (@p2308) :args ((forall @t9 (=> @t7 @t4346)))) % 1.71/1.92 (step @p2310 :rule trans :premises (@p2309 @p2307)) % 1.71/1.92 (step @p2311 :rule aci_norm :args ((= @t4349 @t4344))) % 1.71/1.92 (step @p2312 :rule cong :premises (@p2311) :args (@t4350)) % 1.71/1.92 (step @p2313 :rule quant-merge-prenex :args ((= (forall @t70 @t4352) @t4350))) % 1.71/1.92 (step @p2314 :rule alpha_equiv :args (@t4353 (@list @t4339) (@list @t289))) % 1.71/1.92 (step @p2315 :rule refl :args (@t4270)) % 1.71/1.92 (step @p2316 :rule refl :args (@t2175)) % 1.71/1.92 (step @p2317 :rule nary_cong :premises (@p2316 @p2315 @p2314) :args (@t4354)) % 1.71/1.92 (step @p2318 :rule quant-miniscope-or :args ((= @t4352 @t4354))) % 1.71/1.92 (step @p2319 :rule trans :premises (@p2318 @p2317)) % 1.71/1.92 (step @p2320 :rule symm :premises (@p2319)) % 1.71/1.92 (step @p2321 :rule cong :premises (@p2320) :args ((forall @t70 (or @t2175 @t4270 @t4268)))) % 1.71/1.92 (step @p2322 :rule trans :premises (@p2321 @p2313)) % 1.71/1.92 (step @p2323 :rule trans :premises (@p2322 @p2312)) % 1.71/1.92 (step @p2324 :rule refl :args (@t4268)) % 1.71/1.92 (step @p2325 :rule nary_cong :premises (@p1018 @p2110 @p2324) :args (@t4355)) % 1.71/1.92 (step @p2326 :rule cong :premises (@p2325) :args ((forall @t70 @t4355))) % 1.71/1.92 (step @p2327 :rule trans :premises (@p2326 @p2323)) % 1.71/1.92 (step @p2328 :rule aci_norm :args ((= (or @t3841 @t4356) @t4355))) % 1.71/1.92 (step @p2329 :rule bool-impl-elim :args (@t21 @t4356)) % 1.71/1.92 (step @p2330 :rule trans :premises (@p2329 @p2328)) % 1.71/1.92 (step @p2331 :rule cong :premises (@p2330) :args ((forall @t70 (=> @t21 @t4356)))) % 1.71/1.92 (step @p2332 :rule trans :premises (@p2331 @p2327)) % 1.71/1.92 (step @p2333 :rule nary_cong :premises (@p2211 @p2186) :args (@t4357)) % 1.71/1.92 (step @p2334 :rule quant-miniscope-or :args ((= (forall @t1068 @t4358) @t4357))) % 1.71/1.92 (step @p2335 :rule aci_norm :args ((= @t4359 @t4358))) % 1.71/1.92 (step @p2336 :rule cong :premises (@p2335) :args ((forall @t1068 @t4359))) % 1.71/1.92 (step @p2337 :rule trans :premises (@p2336 @p2334)) % 1.71/1.92 (step @p2338 :rule trans :premises (@p2337 @p2333)) % 1.71/1.92 (step @p2339 :rule aci_norm :args ((= (or @t4284 @t4360) @t4359))) % 1.71/1.92 (step @p2340 :rule aci_norm :args ((= (or @t4283 (or @t4282 @t1649)) @t4360))) % 1.71/1.92 (step @p2341 :rule bool-impl-elim :args (@t1651 @t1649)) % 1.71/1.92 (step @p2342 :rule nary_cong :premises (@p2196 @p2341) :args ((or @t4283 @t1652))) % 1.71/1.92 (step @p2343 :rule trans :premises (@p2342 @p2340)) % 1.71/1.92 (step @p2344 :rule bool-impl-elim :args (@t1654 @t1652)) % 1.71/1.92 (step @p2345 :rule trans :premises (@p2344 @p2343)) % 1.71/1.92 (step @p2346 :rule nary_cong :premises (@p2201 @p2345) :args ((or @t4284 @t1655))) % 1.71/1.92 (step @p2347 :rule trans :premises (@p2346 @p2339)) % 1.71/1.92 (step @p2348 :rule bool-impl-elim :args (@t1656 @t1655)) % 1.71/1.92 (step @p2349 :rule trans :premises (@p2348 @p2347)) % 1.71/1.92 (step @p2350 :rule cong :premises (@p2349) :args (@t1657)) % 1.71/1.92 (step @p2351 :rule trans :premises (@p2350 @p2338)) % 1.71/1.92 (step @p2352 :rule cong :premises (@p1725 @p2351) :args (@t1658)) % 1.71/1.92 (step @p2353 :rule cong :premises (@p2352) :args (@t1659)) % 1.71/1.92 (step @p2354 :rule trans :premises (@p2353 @p2332)) % 1.71/1.92 (step @p2355 :rule cong :premises (@p1729 @p2354) :args (@t1660)) % 1.71/1.92 (step @p2356 :rule cong :premises (@p2355) :args (@t1661)) % 1.71/1.92 (step @p2357 :rule trans :premises (@p2356 @p2310)) % 1.71/1.92 (step @p2358 :rule cong :premises (@p1360 @p2357) :args (@t1662)) % 1.71/1.92 (step @p2359 :rule cong :premises (@p2358) :args (@t1663)) % 1.71/1.92 (step @p2360 :rule trans :premises (@p2359 @p2292)) % 1.71/1.92 (step @p2361 :rule cong :premises (@p1364 @p2360) :args (@t1664)) % 1.71/1.92 (step @p2362 :rule cong :premises (@p2361) :args (@t1665)) % 1.71/1.92 (step @p2363 :rule trans :premises (@p2362 @p2274)) % 1.71/1.92 (step @p2364 :rule refl :args (tptp.breln1compI)) % 1.71/1.92 (step @p2365 :rule cong :premises (@p2364 @p2363) :args (@t1666)) % 1.71/1.92 (step @p2366 :rule eq_resolve :premises (@p296 @p2365)) % 1.71/1.92 (step @p2367 :rule cong :premises (@p2366 @p2256) :args (@t4361)) % 1.71/1.92 (step @p2368 :rule aci_norm :args ((= @t4363 @t2331))) % 1.71/1.92 (step @p2369 :rule cong :premises (@p2368) :args (@t4364)) % 1.71/1.92 (step @p2370 :rule quant-merge-prenex :args ((= (forall @t1561 @t4366) @t4364))) % 1.71/1.92 (step @p2371 :rule alpha_equiv :args (@t4367 (@list @t2328) @t3977)) % 1.71/1.92 (step @p2372 :rule nary_cong :premises (@p1212 @p2371) :args (@t4368)) % 1.71/1.92 (step @p2373 :rule quant-miniscope-or :args ((= @t4366 @t4368))) % 1.71/1.92 (step @p2374 :rule trans :premises (@p2373 @p2372)) % 1.71/1.92 (step @p2375 :rule symm :premises (@p2374)) % 1.71/1.92 (step @p2376 :rule cong :premises (@p2375) :args ((forall @t1561 (or @t2230 @t4370)))) % 1.71/1.92 (step @p2377 :rule trans :premises (@p2376 @p2370)) % 1.71/1.92 (step @p2378 :rule trans :premises (@p2377 @p2369)) % 1.71/1.92 (step @p2379 :rule refl :args (@t4370)) % 1.71/1.92 (step @p2380 :rule nary_cong :premises (@p1226 @p2379) :args (@t4371)) % 1.71/1.92 (step @p2381 :rule cong :premises (@p2380) :args ((forall @t1561 @t4371))) % 1.71/1.92 (step @p2382 :rule trans :premises (@p2381 @p2378)) % 1.71/1.92 (step @p2383 :rule bool-impl-elim :args (@t1559 @t4370)) % 1.71/1.92 (step @p2384 :rule cong :premises (@p2383) :args ((forall @t1561 (=> @t1559 @t4370)))) % 1.71/1.92 (step @p2385 :rule trans :premises (@p2384 @p2382)) % 1.71/1.92 (step @p2386 :rule refl :args ((tptp.breln1 @t2 @t1643))) % 1.71/1.92 (step @p2387 :rule cong :premises (@p973 @p1477) :args (@t4369)) % 1.71/1.92 (step @p2388 :rule trans :premises (@p2387 @p2386)) % 1.71/1.92 (step @p2389 :rule ho_cong :premises (@p2026 @p1477)) % 1.71/1.92 (step @p2390 :rule cong :premises (@p2389 @p2388) :args ((= (_ @t1558 @t3980) @t4369))) % 1.71/1.92 (step @p2391 :rule symm :premises (@p2390)) % 1.71/1.92 (step @p2392 :rule refl :args (@t1644)) % 1.71/1.92 (step @p2393 :rule eq_resolve :premises (@p2392 @p2391)) % 1.71/1.92 (step @p2394 :rule ho_cong :premises (@p2026 @p1488)) % 1.71/1.92 (step @p2395 :rule trans :premises (@p2394 @p2393)) % 1.71/1.92 (step @p2396 :rule nary_cong :premises (@p1251 @p2395) :args (@t4372)) % 1.71/1.92 (step @p2397 :rule cong :premises (@p2396) :args ((forall @t1004 @t4372))) % 1.71/1.92 (step @p2398 :rule bool-impl-elim :args (@t1604 @t1644)) % 1.71/1.92 (step @p2399 :rule cong :premises (@p2398) :args (@t1645)) % 1.71/1.92 (step @p2400 :rule trans :premises (@p2399 @p2397)) % 1.71/1.92 (step @p2401 :rule cong :premises (@p1364 @p2400) :args (@t1646)) % 1.71/1.92 (step @p2402 :rule cong :premises (@p2401) :args (@t1647)) % 1.71/1.92 (step @p2403 :rule trans :premises (@p2402 @p2385)) % 1.71/1.92 (step @p2404 :rule refl :args (tptp.breln1compprop)) % 1.71/1.92 (step @p2405 :rule cong :premises (@p2404 @p2403) :args (@t1648)) % 1.71/1.92 (step @p2406 :rule eq_resolve :premises (@p295 @p2405)) % 1.71/1.92 (step @p2407 :rule cong :premises (@p2406 @p2367) :args (@t4373)) % 1.71/1.92 (step @p2408 :rule aci_norm :args ((= @t4375 @t2339))) % 1.71/1.92 (step @p2409 :rule cong :premises (@p2408) :args (@t4376)) % 1.71/1.92 (step @p2410 :rule quant-merge-prenex :args ((= (forall @t1561 @t4378) @t4376))) % 1.71/1.92 (step @p2411 :rule alpha_equiv :args (@t4379 (@list @t2334 @t2333) (@list @t4 @t4380))) % 1.71/1.92 (step @p2412 :rule nary_cong :premises (@p1212 @p2411) :args (@t4381)) % 1.71/1.92 (step @p2413 :rule quant-miniscope-or :args ((= @t4378 @t4381))) % 1.71/1.92 (step @p2414 :rule trans :premises (@p2413 @p2412)) % 1.71/1.92 (step @p2415 :rule symm :premises (@p2414)) % 1.71/1.92 (step @p2416 :rule cong :premises (@p2415) :args ((forall @t1561 (or @t2230 @t4387)))) % 1.71/1.92 (step @p2417 :rule trans :premises (@p2416 @p2410)) % 1.71/1.92 (step @p2418 :rule trans :premises (@p2417 @p2409)) % 1.71/1.92 (step @p2419 :rule refl :args (@t4387)) % 1.71/1.92 (step @p2420 :rule nary_cong :premises (@p1226 @p2419) :args (@t4388)) % 1.71/1.92 (step @p2421 :rule cong :premises (@p2420) :args ((forall @t1561 @t4388))) % 1.71/1.92 (step @p2422 :rule trans :premises (@p2421 @p2418)) % 1.71/1.92 (step @p2423 :rule bool-impl-elim :args (@t1559 @t4387)) % 1.71/1.92 (step @p2424 :rule cong :premises (@p2423) :args ((forall @t1561 (=> @t1559 @t4387)))) % 1.71/1.92 (step @p2425 :rule trans :premises (@p2424 @p2422)) % 1.71/1.92 (step @p2426 :rule aci_norm :args ((= @t4390 @t4385))) % 1.71/1.92 (step @p2427 :rule cong :premises (@p2426) :args (@t4391)) % 1.71/1.92 (step @p2428 :rule quant-merge-prenex :args ((= (forall @t9 @t4393) @t4391))) % 1.71/1.92 (step @p2429 :rule alpha_equiv :args (@t4394 (@list @t4380) @t3833)) % 1.71/1.92 (step @p2430 :rule nary_cong :premises (@p1601 @p2429) :args (@t4395)) % 1.71/1.92 (step @p2431 :rule quant-miniscope-or :args ((= @t4393 @t4395))) % 1.71/1.92 (step @p2432 :rule trans :premises (@p2431 @p2430)) % 1.71/1.92 (step @p2433 :rule symm :premises (@p2432)) % 1.71/1.92 (step @p2434 :rule cong :premises (@p2433) :args ((forall @t9 (or @t2357 @t4398)))) % 1.71/1.92 (step @p2435 :rule trans :premises (@p2434 @p2428)) % 1.71/1.92 (step @p2436 :rule trans :premises (@p2435 @p2427)) % 1.71/1.92 (step @p2437 :rule refl :args (@t4398)) % 1.71/1.92 (step @p2438 :rule nary_cong :premises (@p1615 @p2437) :args (@t4399)) % 1.71/1.92 (step @p2439 :rule cong :premises (@p2438) :args ((forall @t9 @t4399))) % 1.71/1.92 (step @p2440 :rule trans :premises (@p2439 @p2436)) % 1.71/1.92 (step @p2441 :rule bool-impl-elim :args (@t7 @t4398)) % 1.71/1.92 (step @p2442 :rule cong :premises (@p2441) :args ((forall @t9 (=> @t7 @t4398)))) % 1.71/1.92 (step @p2443 :rule trans :premises (@p2442 @p2440)) % 1.71/1.92 (step @p2444 :rule refl :args ((tptp.in @t1625 @t1621))) % 1.71/1.92 (step @p2445 :rule refl :args (@t4396)) % 1.71/1.92 (step @p2446 :rule cong :premises (@p2445 @p1261) :args (@t4397)) % 1.71/1.92 (step @p2447 :rule trans :premises (@p2446 @p2444)) % 1.71/1.92 (step @p2448 :rule ho_cong :premises (@p1628 @p2445)) % 1.71/1.92 (step @p2449 :rule ho_cong :premises (@p2448 @p1261)) % 1.71/1.92 (step @p2450 :rule cong :premises (@p2449 @p2447) :args ((= (_ (_ tptp.in @t4396) @t2222) @t4397))) % 1.71/1.92 (step @p2451 :rule symm :premises (@p2450)) % 1.71/1.92 (step @p2452 :rule refl :args (@t1626)) % 1.71/1.92 (step @p2453 :rule eq_resolve :premises (@p2452 @p2451)) % 1.71/1.92 (step @p2454 :rule refl :args (@t1625)) % 1.71/1.92 (step @p2455 :rule cong :premises (@p2454 @p2445) :args ((= @t1625 @t4396))) % 1.71/1.92 (step @p2456 :rule symm :premises (@p2455)) % 1.71/1.92 (step @p2457 :rule eq_resolve :premises (@p2454 @p2456)) % 1.71/1.92 (step @p2458 :rule ho_cong :premises (@p1628 @p2457)) % 1.71/1.92 (step @p2459 :rule ho_cong :premises (@p2458 @p1299)) % 1.71/1.92 (step @p2460 :rule trans :premises (@p2459 @p2453)) % 1.71/1.92 (step @p2461 :rule cong :premises (@p2460) :args (@t4400)) % 1.71/1.92 (step @p2462 :rule nary_cong :premises (@p1018 @p2461 @p1706) :args (@t4401)) % 1.71/1.92 (step @p2463 :rule cong :premises (@p2462) :args ((forall @t70 @t4401))) % 1.71/1.92 (step @p2464 :rule aci_norm :args ((= (or @t3841 (or @t4400 @t942)) @t4401))) % 1.71/1.92 (step @p2465 :rule bool-impl-elim :args (@t1626 @t942)) % 1.71/1.92 (step @p2466 :rule nary_cong :premises (@p1649 @p2465) :args ((or @t3841 @t1634))) % 1.71/1.92 (step @p2467 :rule trans :premises (@p2466 @p2464)) % 1.71/1.92 (step @p2468 :rule bool-impl-elim :args (@t21 @t1634)) % 1.71/1.92 (step @p2469 :rule trans :premises (@p2468 @p2467)) % 1.71/1.92 (step @p2470 :rule cong :premises (@p2469) :args (@t1635)) % 1.71/1.92 (step @p2471 :rule trans :premises (@p2470 @p2463)) % 1.71/1.92 (step @p2472 :rule cong :premises (@p1729 @p2471) :args (@t1636)) % 1.71/1.92 (step @p2473 :rule cong :premises (@p2472) :args (@t1637)) % 1.71/1.92 (step @p2474 :rule trans :premises (@p2473 @p2443)) % 1.71/1.92 (step @p2475 :rule cong :premises (@p1364 @p2474) :args (@t1638)) % 1.71/1.92 (step @p2476 :rule cong :premises (@p2475) :args (@t1639)) % 1.71/1.92 (step @p2477 :rule trans :premises (@p2476 @p2425)) % 1.71/1.92 (step @p2478 :rule refl :args (tptp.breln1invE)) % 1.71/1.92 (step @p2479 :rule cong :premises (@p2478 @p2477) :args (@t1640)) % 1.71/1.92 (step @p2480 :rule eq_resolve :premises (@p294 @p2479)) % 1.71/1.92 (step @p2481 :rule cong :premises (@p2480 @p2407) :args (@t4402)) % 1.71/1.92 (step @p2482 :rule aci_norm :args ((= @t4404 @t2347))) % 1.71/1.92 (step @p2483 :rule cong :premises (@p2482) :args (@t4405)) % 1.71/1.92 (step @p2484 :rule quant-merge-prenex :args ((= (forall @t1561 @t4407) @t4405))) % 1.71/1.92 (step @p2485 :rule alpha_equiv :args (@t4408 (@list @t2341 @t2342) (@list @t4 @t4409))) % 1.71/1.92 (step @p2486 :rule nary_cong :premises (@p1212 @p2485) :args (@t4410)) % 1.71/1.92 (step @p2487 :rule quant-miniscope-or :args ((= @t4407 @t4410))) % 1.71/1.92 (step @p2488 :rule trans :premises (@p2487 @p2486)) % 1.71/1.92 (step @p2489 :rule symm :premises (@p2488)) % 1.71/1.92 (step @p2490 :rule cong :premises (@p2489) :args ((forall @t1561 (or @t2230 @t4416)))) % 1.71/1.92 (step @p2491 :rule trans :premises (@p2490 @p2484)) % 1.71/1.92 (step @p2492 :rule trans :premises (@p2491 @p2483)) % 1.71/1.92 (step @p2493 :rule refl :args (@t4416)) % 1.71/1.92 (step @p2494 :rule nary_cong :premises (@p1226 @p2493) :args (@t4417)) % 1.71/1.92 (step @p2495 :rule cong :premises (@p2494) :args ((forall @t1561 @t4417))) % 1.71/1.92 (step @p2496 :rule trans :premises (@p2495 @p2492)) % 1.71/1.92 (step @p2497 :rule bool-impl-elim :args (@t1559 @t4416)) % 1.71/1.92 (step @p2498 :rule cong :premises (@p2497) :args ((forall @t1561 (=> @t1559 @t4416)))) % 1.71/1.92 (step @p2499 :rule trans :premises (@p2498 @p2496)) % 1.71/1.92 (step @p2500 :rule aci_norm :args ((= @t4419 @t4414))) % 1.71/1.92 (step @p2501 :rule cong :premises (@p2500) :args (@t4420)) % 1.71/1.92 (step @p2502 :rule quant-merge-prenex :args ((= (forall @t9 @t4422) @t4420))) % 1.71/1.92 (step @p2503 :rule alpha_equiv :args (@t4423 (@list @t4409) @t3833)) % 1.71/1.92 (step @p2504 :rule nary_cong :premises (@p1601 @p2503) :args (@t4424)) % 1.71/1.92 (step @p2505 :rule quant-miniscope-or :args ((= @t4422 @t4424))) % 1.71/1.92 (step @p2506 :rule trans :premises (@p2505 @p2504)) % 1.71/1.92 (step @p2507 :rule symm :premises (@p2506)) % 1.71/1.92 (step @p2508 :rule cong :premises (@p2507) :args ((forall @t9 (or @t2357 @t4425)))) % 1.71/1.92 (step @p2509 :rule trans :premises (@p2508 @p2502)) % 1.71/1.92 (step @p2510 :rule trans :premises (@p2509 @p2501)) % 1.71/1.92 (step @p2511 :rule refl :args (@t4425)) % 1.71/1.92 (step @p2512 :rule nary_cong :premises (@p1615 @p2511) :args (@t4426)) % 1.71/1.92 (step @p2513 :rule cong :premises (@p2512) :args ((forall @t9 @t4426))) % 1.71/1.92 (step @p2514 :rule trans :premises (@p2513 @p2510)) % 1.71/1.92 (step @p2515 :rule bool-impl-elim :args (@t7 @t4425)) % 1.71/1.92 (step @p2516 :rule cong :premises (@p2515) :args ((forall @t9 (=> @t7 @t4425)))) % 1.71/1.92 (step @p2517 :rule trans :premises (@p2516 @p2514)) % 1.71/1.92 (step @p2518 :rule nary_cong :premises (@p1018 @p1823 @p2460) :args (@t4427)) % 1.71/1.92 (step @p2519 :rule cong :premises (@p2518) :args ((forall @t70 @t4427))) % 1.71/1.92 (step @p2520 :rule aci_norm :args ((= (or @t3841 (or @t4118 @t1626)) @t4427))) % 1.71/1.92 (step @p2521 :rule bool-impl-elim :args (@t942 @t1626)) % 1.71/1.92 (step @p2522 :rule nary_cong :premises (@p1649 @p2521) :args ((or @t3841 @t1627))) % 1.71/1.92 (step @p2523 :rule trans :premises (@p2522 @p2520)) % 1.71/1.92 (step @p2524 :rule bool-impl-elim :args (@t21 @t1627)) % 1.71/1.92 (step @p2525 :rule trans :premises (@p2524 @p2523)) % 1.71/1.92 (step @p2526 :rule cong :premises (@p2525) :args (@t1628)) % 1.71/1.92 (step @p2527 :rule trans :premises (@p2526 @p2519)) % 1.71/1.92 (step @p2528 :rule cong :premises (@p1729 @p2527) :args (@t1629)) % 1.71/1.92 (step @p2529 :rule cong :premises (@p2528) :args (@t1630)) % 1.71/1.92 (step @p2530 :rule trans :premises (@p2529 @p2517)) % 1.71/1.92 (step @p2531 :rule cong :premises (@p1364 @p2530) :args (@t1631)) % 1.71/1.92 (step @p2532 :rule cong :premises (@p2531) :args (@t1632)) % 1.71/1.92 (step @p2533 :rule trans :premises (@p2532 @p2499)) % 1.71/1.92 (step @p2534 :rule refl :args (tptp.breln1invI)) % 1.71/1.92 (step @p2535 :rule cong :premises (@p2534 @p2533) :args (@t1633)) % 1.71/1.92 (step @p2536 :rule eq_resolve :premises (@p293 @p2535)) % 1.71/1.92 (step @p2537 :rule cong :premises (@p2536 @p2481) :args (@t4428)) % 1.71/1.92 (step @p2538 :rule refl :args ((tptp.breln1 @t2 @t1621))) % 1.71/1.92 (step @p2539 :rule cong :premises (@p973 @p1261) :args (@t2349)) % 1.71/1.92 (step @p2540 :rule trans :premises (@p2539 @p2538)) % 1.71/1.92 (step @p2541 :rule ho_cong :premises (@p2026 @p1261)) % 1.71/1.92 (step @p2542 :rule cong :premises (@p2541 @p2540) :args ((= (_ @t1558 @t2222) @t2349))) % 1.71/1.92 (step @p2543 :rule symm :premises (@p2542)) % 1.71/1.92 (step @p2544 :rule refl :args (@t1622)) % 1.71/1.92 (step @p2545 :rule eq_resolve :premises (@p2544 @p2543)) % 1.71/1.92 (step @p2546 :rule ho_cong :premises (@p2026 @p1299)) % 1.71/1.92 (step @p2547 :rule trans :premises (@p2546 @p2545)) % 1.71/1.92 (step @p2548 :rule nary_cong :premises (@p1226 @p2547) :args (@t4429)) % 1.71/1.92 (step @p2549 :rule cong :premises (@p2548) :args ((forall @t1561 @t4429))) % 1.71/1.92 (step @p2550 :rule bool-impl-elim :args (@t1559 @t1622)) % 1.71/1.92 (step @p2551 :rule cong :premises (@p2550) :args (@t1623)) % 1.71/1.92 (step @p2552 :rule trans :premises (@p2551 @p2549)) % 1.71/1.92 (step @p2553 :rule refl :args (tptp.breln1invprop)) % 1.71/1.92 (step @p2554 :rule cong :premises (@p2553 @p2552) :args (@t1624)) % 1.71/1.92 (step @p2555 :rule eq_resolve :premises (@p292 @p2554)) % 1.71/1.92 (step @p2556 :rule cong :premises (@p2555 @p2537) :args (@t4430)) % 1.71/1.92 (step @p2557 :rule aci_norm :args ((= @t4432 @t2367))) % 1.71/1.92 (step @p2558 :rule cong :premises (@p2557) :args (@t4433)) % 1.71/1.92 (step @p2559 :rule quant-merge-prenex :args ((= (forall @t1561 @t4435) @t4433))) % 1.71/1.92 (step @p2560 :rule alpha_equiv :args (@t4436 (@list @t2350) @t3977)) % 1.71/1.92 (step @p2561 :rule nary_cong :premises (@p1212 @p2560) :args (@t4437)) % 1.71/1.92 (step @p2562 :rule quant-miniscope-or :args ((= @t4435 @t4437))) % 1.71/1.92 (step @p2563 :rule trans :premises (@p2562 @p2561)) % 1.71/1.92 (step @p2564 :rule symm :premises (@p2563)) % 1.71/1.92 (step @p2565 :rule cong :premises (@p2564) :args ((forall @t1561 (or @t2230 @t4446)))) % 1.71/1.92 (step @p2566 :rule trans :premises (@p2565 @p2559)) % 1.71/1.92 (step @p2567 :rule trans :premises (@p2566 @p2558)) % 1.71/1.92 (step @p2568 :rule refl :args (@t4446)) % 1.71/1.92 (step @p2569 :rule nary_cong :premises (@p1226 @p2568) :args (@t4447)) % 1.71/1.92 (step @p2570 :rule cong :premises (@p2569) :args ((forall @t1561 @t4447))) % 1.71/1.92 (step @p2571 :rule trans :premises (@p2570 @p2567)) % 1.71/1.92 (step @p2572 :rule bool-impl-elim :args (@t1559 @t4446)) % 1.71/1.92 (step @p2573 :rule cong :premises (@p2572) :args ((forall @t1561 (=> @t1559 @t4446)))) % 1.71/1.92 (step @p2574 :rule trans :premises (@p2573 @p2571)) % 1.71/1.92 (step @p2575 :rule refl :args (@t1009)) % 1.71/1.92 (step @p2576 :rule refl :args (@t4441)) % 1.71/1.92 (step @p2577 :rule refl :args (@t4445)) % 1.71/1.92 (step @p2578 :rule nary_cong :premises (@p1251 @p2577 @p2576 @p2575) :args (@t4448)) % 1.71/1.92 (step @p2579 :rule cong :premises (@p2578) :args ((forall @t1004 @t4448))) % 1.71/1.92 (step @p2580 :rule aci_norm :args ((= (or @t3937 @t4449) @t4448))) % 1.71/1.92 (step @p2581 :rule aci_norm :args ((= (or @t4445 (or @t4441 @t1009)) @t4449))) % 1.71/1.92 (step @p2582 :rule bool-impl-elim :args (@t4440 @t1009)) % 1.71/1.92 (step @p2583 :rule nary_cong :premises (@p2577 @p2582) :args ((or @t4445 @t4450))) % 1.71/1.92 (step @p2584 :rule trans :premises (@p2583 @p2581)) % 1.71/1.92 (step @p2585 :rule bool-impl-elim :args (@t4444 @t4450)) % 1.71/1.92 (step @p2586 :rule trans :premises (@p2585 @p2584)) % 1.71/1.92 (step @p2587 :rule refl :args (@t3937)) % 1.71/1.92 (step @p2588 :rule nary_cong :premises (@p2587 @p2586) :args ((or @t3937 @t4451))) % 1.71/1.92 (step @p2589 :rule trans :premises (@p2588 @p2580)) % 1.71/1.92 (step @p2590 :rule bool-impl-elim :args (@t1604 @t4451)) % 1.71/1.92 (step @p2591 :rule trans :premises (@p2590 @p2589)) % 1.71/1.92 (step @p2592 :rule cong :premises (@p2591) :args ((forall @t1004 (=> @t1604 @t4451)))) % 1.71/1.92 (step @p2593 :rule trans :premises (@p2592 @p2579)) % 1.71/1.92 (step @p2594 :rule refl :args (@t1009)) % 1.71/1.92 (step @p2595 :rule aci_norm :args ((= @t4453 @t4439))) % 1.71/1.92 (step @p2596 :rule cong :premises (@p2595) :args (@t4454)) % 1.71/1.92 (step @p2597 :rule quant-merge-prenex :args ((= (forall @t9 @t4456) @t4454))) % 1.71/1.92 (step @p2598 :rule alpha_equiv :args (@t4457 (@list @t2352) @t3833)) % 1.71/1.92 (step @p2599 :rule nary_cong :premises (@p1601 @p2598) :args (@t4458)) % 1.71/1.92 (step @p2600 :rule quant-miniscope-or :args ((= @t4456 @t4458))) % 1.71/1.92 (step @p2601 :rule trans :premises (@p2600 @p2599)) % 1.71/1.92 (step @p2602 :rule symm :premises (@p2601)) % 1.71/1.92 (step @p2603 :rule cong :premises (@p2602) :args ((forall @t9 (or @t2357 @t4459)))) % 1.71/1.92 (step @p2604 :rule trans :premises (@p2603 @p2597)) % 1.71/1.92 (step @p2605 :rule trans :premises (@p2604 @p2596)) % 1.71/1.92 (step @p2606 :rule refl :args (@t4459)) % 1.71/1.92 (step @p2607 :rule nary_cong :premises (@p1615 @p2606) :args (@t4460)) % 1.71/1.92 (step @p2608 :rule cong :premises (@p2607) :args ((forall @t9 @t4460))) % 1.71/1.92 (step @p2609 :rule trans :premises (@p2608 @p2605)) % 1.71/1.92 (step @p2610 :rule bool-impl-elim :args (@t7 @t4459)) % 1.71/1.92 (step @p2611 :rule cong :premises (@p2610) :args ((forall @t9 (=> @t7 @t4459)))) % 1.71/1.92 (step @p2612 :rule trans :premises (@p2611 @p2609)) % 1.71/1.92 (step @p2613 :rule nary_cong :premises (@p1018 @p1822 @p1706) :args (@t4461)) % 1.71/1.92 (step @p2614 :rule cong :premises (@p2613) :args ((forall @t70 @t4461))) % 1.71/1.92 (step @p2615 :rule aci_norm :args ((= (or @t3841 @t4462) @t4461))) % 1.71/1.92 (step @p2616 :rule bool-impl-elim :args (@t996 @t942)) % 1.71/1.92 (step @p2617 :rule nary_cong :premises (@p1649 @p2616) :args ((or @t3841 @t1010))) % 1.71/1.92 (step @p2618 :rule trans :premises (@p2617 @p2615)) % 1.71/1.92 (step @p2619 :rule bool-impl-elim :args (@t21 @t1010)) % 1.71/1.92 (step @p2620 :rule trans :premises (@p2619 @p2618)) % 1.71/1.92 (step @p2621 :rule cong :premises (@p2620) :args (@t1610)) % 1.71/1.92 (step @p2622 :rule trans :premises (@p2621 @p2614)) % 1.71/1.92 (step @p2623 :rule cong :premises (@p1729 @p2622) :args (@t1611)) % 1.71/1.92 (step @p2624 :rule cong :premises (@p2623) :args (@t1612)) % 1.71/1.92 (step @p2625 :rule trans :premises (@p2624 @p2612)) % 1.71/1.92 (step @p2626 :rule cong :premises (@p2625 @p2594) :args (@t1613)) % 1.71/1.92 (step @p2627 :rule aci_norm :args ((= @t4464 @t4443))) % 1.71/1.92 (step @p2628 :rule cong :premises (@p2627) :args (@t4465)) % 1.71/1.92 (step @p2629 :rule quant-merge-prenex :args ((= (forall @t9 @t4467) @t4465))) % 1.71/1.92 (step @p2630 :rule alpha_equiv :args (@t4468 (@list @t2360) @t3833)) % 1.71/1.92 (step @p2631 :rule nary_cong :premises (@p1601 @p2630) :args (@t4469)) % 1.71/1.92 (step @p2632 :rule quant-miniscope-or :args ((= @t4467 @t4469))) % 1.71/1.92 (step @p2633 :rule trans :premises (@p2632 @p2631)) % 1.71/1.92 (step @p2634 :rule symm :premises (@p2633)) % 1.71/1.92 (step @p2635 :rule cong :premises (@p2634) :args ((forall @t9 (or @t2357 @t4470)))) % 1.71/1.92 (step @p2636 :rule trans :premises (@p2635 @p2629)) % 1.71/1.92 (step @p2637 :rule trans :premises (@p2636 @p2628)) % 1.71/1.92 (step @p2638 :rule refl :args (@t4470)) % 1.71/1.92 (step @p2639 :rule nary_cong :premises (@p1615 @p2638) :args (@t4471)) % 1.71/1.92 (step @p2640 :rule cong :premises (@p2639) :args ((forall @t9 @t4471))) % 1.71/1.92 (step @p2641 :rule trans :premises (@p2640 @p2637)) % 1.71/1.92 (step @p2642 :rule bool-impl-elim :args (@t7 @t4470)) % 1.71/1.92 (step @p2643 :rule cong :premises (@p2642) :args ((forall @t9 (=> @t7 @t4470)))) % 1.71/1.92 (step @p2644 :rule trans :premises (@p2643 @p2641)) % 1.71/1.92 (step @p2645 :rule nary_cong :premises (@p1018 @p1823 @p1695) :args (@t4472)) % 1.71/1.92 (step @p2646 :rule cong :premises (@p2645) :args ((forall @t70 @t4472))) % 1.71/1.92 (step @p2647 :rule aci_norm :args ((= (or @t3841 @t4473) @t4472))) % 1.71/1.92 (step @p2648 :rule bool-impl-elim :args (@t942 @t996)) % 1.71/1.92 (step @p2649 :rule nary_cong :premises (@p1649 @p2648) :args ((or @t3841 @t997))) % 1.71/1.92 (step @p2650 :rule trans :premises (@p2649 @p2647)) % 1.71/1.92 (step @p2651 :rule bool-impl-elim :args (@t21 @t997)) % 1.71/1.92 (step @p2652 :rule trans :premises (@p2651 @p2650)) % 1.71/1.92 (step @p2653 :rule cong :premises (@p2652) :args (@t1600)) % 1.71/1.92 (step @p2654 :rule trans :premises (@p2653 @p2646)) % 1.71/1.92 (step @p2655 :rule cong :premises (@p1729 @p2654) :args (@t1601)) % 1.71/1.92 (step @p2656 :rule cong :premises (@p2655) :args (@t1602)) % 1.71/1.92 (step @p2657 :rule trans :premises (@p2656 @p2644)) % 1.71/1.92 (step @p2658 :rule cong :premises (@p2657 @p2626) :args (@t1614)) % 1.71/1.92 (step @p2659 :rule cong :premises (@p1360 @p2658) :args (@t1615)) % 1.71/1.92 (step @p2660 :rule cong :premises (@p2659) :args (@t1616)) % 1.71/1.92 (step @p2661 :rule trans :premises (@p2660 @p2593)) % 1.71/1.92 (step @p2662 :rule cong :premises (@p1364 @p2661) :args (@t1617)) % 1.71/1.92 (step @p2663 :rule cong :premises (@p2662) :args (@t1618)) % 1.71/1.92 (step @p2664 :rule trans :premises (@p2663 @p2574)) % 1.71/1.92 (step @p2665 :rule refl :args (tptp.eqbreln1)) % 1.71/1.92 (step @p2666 :rule cong :premises (@p2665 @p2664) :args (@t1619)) % 1.71/1.92 (step @p2667 :rule eq_resolve :premises (@p291 @p2666)) % 1.71/1.92 (step @p2668 :rule cong :premises (@p2667 @p2556) :args (@t4474)) % 1.71/1.92 (step @p2669 :rule aci_norm :args ((= @t4476 @t2373))) % 1.71/1.92 (step @p2670 :rule cong :premises (@p2669) :args (@t4477)) % 1.71/1.92 (step @p2671 :rule quant-merge-prenex :args ((= (forall @t1561 @t4479) @t4477))) % 1.71/1.92 (step @p2672 :rule alpha_equiv :args (@t4480 (@list @t2369) @t3977)) % 1.71/1.92 (step @p2673 :rule nary_cong :premises (@p1212 @p2672) :args (@t4481)) % 1.71/1.92 (step @p2674 :rule quant-miniscope-or :args ((= @t4479 @t4481))) % 1.71/1.92 (step @p2675 :rule trans :premises (@p2674 @p2673)) % 1.71/1.92 (step @p2676 :rule symm :premises (@p2675)) % 1.71/1.92 (step @p2677 :rule cong :premises (@p2676) :args ((forall @t1561 (or @t2230 @t4483)))) % 1.71/1.92 (step @p2678 :rule trans :premises (@p2677 @p2671)) % 1.71/1.92 (step @p2679 :rule trans :premises (@p2678 @p2670)) % 1.71/1.92 (step @p2680 :rule refl :args (@t4483)) % 1.71/1.92 (step @p2681 :rule nary_cong :premises (@p1226 @p2680) :args (@t4484)) % 1.71/1.92 (step @p2682 :rule cong :premises (@p2681) :args ((forall @t1561 @t4484))) % 1.71/1.92 (step @p2683 :rule trans :premises (@p2682 @p2679)) % 1.71/1.92 (step @p2684 :rule bool-impl-elim :args (@t1559 @t4483)) % 1.71/1.92 (step @p2685 :rule cong :premises (@p2684) :args ((forall @t1561 (=> @t1559 @t4483)))) % 1.71/1.92 (step @p2686 :rule trans :premises (@p2685 @p2683)) % 1.71/1.92 (step @p2687 :rule refl :args (@t4482)) % 1.71/1.92 (step @p2688 :rule refl :args (@t995)) % 1.71/1.92 (step @p2689 :rule cong :premises (@p2688 @p2687) :args ((= @t995 @t4482))) % 1.71/1.92 (step @p2690 :rule symm :premises (@p2689)) % 1.71/1.92 (step @p2691 :rule eq_resolve :premises (@p2688 @p2690)) % 1.71/1.92 (step @p2692 :rule nary_cong :premises (@p1251 @p2577 @p2691) :args (@t4485)) % 1.71/1.92 (step @p2693 :rule cong :premises (@p2692) :args ((forall @t1004 @t4485))) % 1.71/1.92 (step @p2694 :rule aci_norm :args ((= (or @t3937 (or @t4445 @t995)) @t4485))) % 1.71/1.92 (step @p2695 :rule bool-impl-elim :args (@t4444 @t995)) % 1.71/1.92 (step @p2696 :rule nary_cong :premises (@p2587 @p2695) :args ((or @t3937 @t4486))) % 1.71/1.92 (step @p2697 :rule trans :premises (@p2696 @p2694)) % 1.71/1.92 (step @p2698 :rule bool-impl-elim :args (@t1604 @t4486)) % 1.71/1.92 (step @p2699 :rule trans :premises (@p2698 @p2697)) % 1.71/1.92 (step @p2700 :rule cong :premises (@p2699) :args ((forall @t1004 (=> @t1604 @t4486)))) % 1.71/1.92 (step @p2701 :rule trans :premises (@p2700 @p2693)) % 1.71/1.92 (step @p2702 :rule refl :args (@t995)) % 1.71/1.92 (step @p2703 :rule cong :premises (@p2657 @p2702) :args (@t1603)) % 1.71/1.92 (step @p2704 :rule cong :premises (@p1360 @p2703) :args (@t1605)) % 1.71/1.92 (step @p2705 :rule cong :premises (@p2704) :args (@t1606)) % 1.71/1.92 (step @p2706 :rule trans :premises (@p2705 @p2701)) % 1.71/1.92 (step @p2707 :rule cong :premises (@p1364 @p2706) :args (@t1607)) % 1.71/1.92 (step @p2708 :rule cong :premises (@p2707) :args (@t1608)) % 1.71/1.92 (step @p2709 :rule trans :premises (@p2708 @p2686)) % 1.71/1.92 (step @p2710 :rule refl :args (tptp.subbreln1)) % 1.71/1.92 (step @p2711 :rule cong :premises (@p2710 @p2709) :args (@t1609)) % 1.71/1.92 (step @p2712 :rule eq_resolve :premises (@p290 @p2711)) % 1.71/1.92 (step @p2713 :rule cong :premises (@p2712 @p2668) :args (@t4487)) % 1.71/1.92 (step @p2714 :rule eq-symm :args (@t2387 tptp.breln1all1)) % 1.71/1.92 (step @p2715 :rule refl :args (tptp.breln1all1)) % 1.71/1.92 (step @p2716 :rule aci_norm :args ((= @t4489 @t2385))) % 1.71/1.92 (step @p2717 :rule cong :premises (@p2716) :args (@t4490)) % 1.71/1.92 (step @p2718 :rule quant-merge-prenex :args ((= (forall @t1561 @t4492) @t4490))) % 1.71/1.92 (step @p2719 :rule alpha_equiv :args (@t4493 (@list @t2376 @t2375) (@list @t143 @t4494))) % 1.71/1.92 (step @p2720 :rule nary_cong :premises (@p1212 @p2719) :args (@t4495)) % 1.71/1.92 (step @p2721 :rule quant-miniscope-or :args ((= @t4492 @t4495))) % 1.71/1.92 (step @p2722 :rule trans :premises (@p2721 @p2720)) % 1.71/1.92 (step @p2723 :rule symm :premises (@p2722)) % 1.71/1.92 (step @p2724 :rule cong :premises (@p2723) :args ((forall @t1561 (or @t2230 @t4504)))) % 1.71/1.92 (step @p2725 :rule trans :premises (@p2724 @p2718)) % 1.71/1.92 (step @p2726 :rule trans :premises (@p2725 @p2717)) % 1.71/1.92 (step @p2727 :rule refl :args (@t4504)) % 1.71/1.92 (step @p2728 :rule nary_cong :premises (@p1226 @p2727) :args (@t4505)) % 1.71/1.92 (step @p2729 :rule cong :premises (@p2728) :args ((forall @t1561 @t4505))) % 1.71/1.92 (step @p2730 :rule trans :premises (@p2729 @p2726)) % 1.71/1.92 (step @p2731 :rule bool-impl-elim :args (@t1559 @t4504)) % 1.71/1.92 (step @p2732 :rule cong :premises (@p2731) :args ((forall @t1561 (=> @t1559 @t4504)))) % 1.71/1.92 (step @p2733 :rule trans :premises (@p2732 @p2730)) % 1.71/1.92 (step @p2734 :rule aci_norm :args ((= @t4507 @t4502))) % 1.71/1.92 (step @p2735 :rule cong :premises (@p2734) :args (@t4508)) % 1.71/1.92 (step @p2736 :rule quant-merge-prenex :args ((= (forall @t150 @t4510) @t4508))) % 1.71/1.92 (step @p2737 :rule alpha_equiv :args (@t4511 (@list @t4494) @t3867)) % 1.71/1.92 (step @p2738 :rule refl :args (@t4501)) % 1.71/1.92 (step @p2739 :rule nary_cong :premises (@p2738 @p2737) :args (@t4512)) % 1.71/1.92 (step @p2740 :rule quant-miniscope-or :args ((= @t4510 @t4512))) % 1.71/1.92 (step @p2741 :rule trans :premises (@p2740 @p2739)) % 1.71/1.92 (step @p2742 :rule symm :premises (@p2741)) % 1.71/1.92 (step @p2743 :rule cong :premises (@p2742) :args ((forall @t150 (or @t4501 @t4514)))) % 1.71/1.92 (step @p2744 :rule trans :premises (@p2743 @p2736)) % 1.71/1.92 (step @p2745 :rule trans :premises (@p2744 @p2735)) % 1.71/1.92 (step @p2746 :rule bool-impl-elim :args (@t4500 @t4514)) % 1.71/1.92 (step @p2747 :rule cong :premises (@p2746) :args ((forall @t150 (=> @t4500 @t4514)))) % 1.71/1.92 (step @p2748 :rule trans :premises (@p2747 @p2745)) % 1.71/1.92 (step @p2749 :rule refl :args (@t4513)) % 1.71/1.92 (step @p2750 :rule refl :args (@t939)) % 1.71/1.92 (step @p2751 :rule cong :premises (@p2750 @p2749) :args ((= @t939 @t4513))) % 1.71/1.92 (step @p2752 :rule symm :premises (@p2751)) % 1.71/1.92 (step @p2753 :rule eq_resolve :premises (@p2750 @p2752)) % 1.71/1.92 (step @p2754 :rule cong :premises (@p2753) :args (@t4515)) % 1.71/1.92 (step @p2755 :rule nary_cong :premises (@p2754 @p1167) :args (@t4516)) % 1.71/1.92 (step @p2756 :rule cong :premises (@p2755) :args ((forall @t9 @t4516))) % 1.71/1.92 (step @p2757 :rule bool-impl-elim :args (@t939 @t144)) % 1.71/1.92 (step @p2758 :rule cong :premises (@p2757) :args (@t940)) % 1.71/1.92 (step @p2759 :rule trans :premises (@p2758 @p2756)) % 1.71/1.92 (step @p2760 :rule aci_norm :args ((= @t4518 @t4499))) % 1.71/1.92 (step @p2761 :rule cong :premises (@p2760) :args (@t4519)) % 1.71/1.92 (step @p2762 :rule quant-merge-prenex :args ((= (forall @t9 @t4521) @t4519))) % 1.71/1.92 (step @p2763 :rule alpha_equiv :args (@t4522 (@list @t2379) @t3833)) % 1.71/1.92 (step @p2764 :rule nary_cong :premises (@p1601 @p2763) :args (@t4523)) % 1.71/1.92 (step @p2765 :rule quant-miniscope-or :args ((= @t4521 @t4523))) % 1.71/1.92 (step @p2766 :rule trans :premises (@p2765 @p2764)) % 1.71/1.92 (step @p2767 :rule symm :premises (@p2766)) % 1.71/1.92 (step @p2768 :rule cong :premises (@p2767) :args ((forall @t9 (or @t2357 @t4525)))) % 1.71/1.92 (step @p2769 :rule trans :premises (@p2768 @p2762)) % 1.71/1.92 (step @p2770 :rule trans :premises (@p2769 @p2761)) % 1.71/1.92 (step @p2771 :rule refl :args (@t4525)) % 1.71/1.92 (step @p2772 :rule nary_cong :premises (@p1615 @p2771) :args (@t4526)) % 1.71/1.92 (step @p2773 :rule cong :premises (@p2772) :args ((forall @t9 @t4526))) % 1.71/1.92 (step @p2774 :rule trans :premises (@p2773 @p2770)) % 1.71/1.92 (step @p2775 :rule bool-impl-elim :args (@t7 @t4525)) % 1.71/1.92 (step @p2776 :rule cong :premises (@p2775) :args ((forall @t9 (=> @t7 @t4525)))) % 1.71/1.92 (step @p2777 :rule trans :premises (@p2776 @p2774)) % 1.71/1.92 (step @p2778 :rule refl :args ((_ @t143 @t633))) % 1.71/1.92 (step @p2779 :rule cong :premises (@p1625) :args (@t4524)) % 1.71/1.92 (step @p2780 :rule trans :premises (@p2779 @p2778)) % 1.71/1.92 (step @p2781 :rule refl :args (@t143)) % 1.71/1.92 (step @p2782 :rule ho_cong :premises (@p2781 @p1625)) % 1.71/1.92 (step @p2783 :rule cong :premises (@p2782 @p2780) :args ((= (_ @t143 @t2997) @t4524))) % 1.71/1.92 (step @p2784 :rule symm :premises (@p2783)) % 1.71/1.92 (step @p2785 :rule refl :args (@t941)) % 1.71/1.92 (step @p2786 :rule eq_resolve :premises (@p2785 @p2784)) % 1.71/1.92 (step @p2787 :rule ho_cong :premises (@p2781 @p1638)) % 1.71/1.92 (step @p2788 :rule trans :premises (@p2787 @p2786)) % 1.71/1.92 (step @p2789 :rule nary_cong :premises (@p1018 @p1823 @p2788) :args (@t4527)) % 1.71/1.92 (step @p2790 :rule cong :premises (@p2789) :args ((forall @t70 @t4527))) % 1.71/1.92 (step @p2791 :rule aci_norm :args ((= (or @t3841 @t4528) @t4527))) % 1.71/1.92 (step @p2792 :rule bool-impl-elim :args (@t942 @t941)) % 1.71/1.92 (step @p2793 :rule nary_cong :premises (@p1649 @p2792) :args ((or @t3841 @t943))) % 1.71/1.92 (step @p2794 :rule trans :premises (@p2793 @p2791)) % 1.71/1.92 (step @p2795 :rule bool-impl-elim :args (@t21 @t943)) % 1.71/1.92 (step @p2796 :rule trans :premises (@p2795 @p2794)) % 1.71/1.92 (step @p2797 :rule cong :premises (@p2796) :args (@t1553)) % 1.71/1.92 (step @p2798 :rule trans :premises (@p2797 @p2790)) % 1.71/1.92 (step @p2799 :rule cong :premises (@p1729 @p2798) :args (@t1554)) % 1.71/1.92 (step @p2800 :rule cong :premises (@p2799) :args (@t1555)) % 1.71/1.92 (step @p2801 :rule trans :premises (@p2800 @p2777)) % 1.71/1.92 (step @p2802 :rule cong :premises (@p2801 @p2759) :args (@t1556)) % 1.71/1.92 (step @p2803 :rule cong :premises (@p2802) :args (@t1557)) % 1.71/1.92 (step @p2804 :rule trans :premises (@p2803 @p2748)) % 1.71/1.92 (step @p2805 :rule cong :premises (@p1364 @p2804) :args (@t1560)) % 1.71/1.92 (step @p2806 :rule cong :premises (@p2805) :args (@t1562)) % 1.71/1.92 (step @p2807 :rule trans :premises (@p2806 @p2733)) % 1.71/1.92 (step @p2808 :rule cong :premises (@p2807 @p2715) :args ((= @t1562 tptp.breln1all1))) % 1.71/1.92 (step @p2809 :rule trans :premises (@p2808 @p2714)) % 1.71/1.92 (step @p2810 :rule eq-symm :args (tptp.breln1all1 @t1562)) % 1.71/1.92 (step @p2811 :rule trans :premises (@p2810 @p2809)) % 1.71/1.92 (step @p2812 :rule eq_resolve :premises (@p289 @p2811)) % 1.71/1.92 (step @p2813 :rule cong :premises (@p2812 @p2713) :args (@t4529)) % 1.71/1.92 (step @p2814 :rule lambda-elim :args ((= @t4530 @t67))) % 1.71/1.92 (step @p2815 :rule cong :premises (@p961 @p961 @p2814) :args (@t4531)) % 1.71/1.92 (step @p2816 :rule cong :premises (@p961 @p2815) :args (@t4532)) % 1.71/1.92 (step @p2817 :rule cong :premises (@p2816) :args ((forall @t1597 @t4532))) % 1.71/1.92 (step @p2818 :rule refl :args ((tptp.breln1 @t2 @t1595))) % 1.71/1.92 (step @p2819 :rule refl :args ((tptp.dpsetconstr @t2 @t2 @t860))) % 1.71/1.92 (step @p2820 :rule refl :args (@t2398)) % 1.71/1.92 (step @p2821 :rule cong :premises (@p2820) :args (@t4530)) % 1.71/1.92 (step @p2822 :rule cong :premises (@p973 @p973 @p2821) :args (@t4531)) % 1.71/1.92 (step @p2823 :rule trans :premises (@p2822 @p2819)) % 1.71/1.92 (step @p2824 :rule cong :premises (@p973 @p2823) :args (@t4532)) % 1.71/1.92 (step @p2825 :rule trans :premises (@p2824 @p2818)) % 1.71/1.92 (step @p2826 :rule ho_cong :premises (@p2026 @p2823)) % 1.71/1.92 (step @p2827 :rule cong :premises (@p2826 @p2825) :args ((= (_ @t1558 @t4531) @t4532))) % 1.71/1.92 (step @p2828 :rule symm :premises (@p2827)) % 1.71/1.92 (step @p2829 :rule refl :args (@t1596)) % 1.71/1.92 (step @p2830 :rule eq_resolve :premises (@p2829 @p2828)) % 1.71/1.92 (step @p2831 :rule refl :args (@t1594)) % 1.71/1.92 (step @p2832 :rule ho_cong :premises (@p2831 @p2821)) % 1.71/1.92 (step @p2833 :rule cong :premises (@p2832 @p2823) :args ((= (_ @t1594 @t4530) @t4531))) % 1.71/1.92 (step @p2834 :rule symm :premises (@p2833)) % 1.71/1.92 (step @p2835 :rule refl :args (@t1595)) % 1.71/1.92 (step @p2836 :rule eq_resolve :premises (@p2835 @p2834)) % 1.71/1.92 (step @p2837 :rule refl :args (@t76)) % 1.71/1.92 (step @p2838 :rule cong :premises (@p2837 @p2820) :args ((= @t76 @t2398))) % 1.71/1.92 (step @p2839 :rule symm :premises (@p2838)) % 1.71/1.92 (step @p2840 :rule eq_resolve :premises (@p2837 @p2839)) % 1.71/1.92 (step @p2841 :rule cong :premises (@p2840) :args (@t860)) % 1.71/1.92 (step @p2842 :rule ho_cong :premises (@p2831 @p2841)) % 1.71/1.92 (step @p2843 :rule trans :premises (@p2842 @p2836)) % 1.71/1.92 (step @p2844 :rule ho_cong :premises (@p2026 @p2843)) % 1.71/1.92 (step @p2845 :rule trans :premises (@p2844 @p2830)) % 1.71/1.92 (step @p2846 :rule cong :premises (@p2845) :args (@t1598)) % 1.71/1.92 (step @p2847 :rule trans :premises (@p2846 @p2817)) % 1.71/1.92 (step @p2848 :rule refl :args (tptp.setOfPairsIsBReln1)) % 1.71/1.92 (step @p2849 :rule cong :premises (@p2848 @p2847) :args (@t1599)) % 1.71/1.92 (step @p2850 :rule eq_resolve :premises (@p288 @p2849)) % 1.71/1.92 (step @p2851 :rule cong :premises (@p2850 @p2813) :args (@t4533)) % 1.71/1.92 (step @p2852 :rule aci_norm :args ((= @t4535 @t2405))) % 1.71/1.92 (step @p2853 :rule cong :premises (@p2852) :args (@t4536)) % 1.71/1.92 (step @p2854 :rule quant-merge-prenex :args ((= (forall @t863 @t4538) @t4536))) % 1.71/1.92 (step @p2855 :rule alpha_equiv :args (@t4539 (@list @t2388 @t2390) (@list @t938 @t4540))) % 1.71/1.92 (step @p2856 :rule refl :args (@t2404)) % 1.71/1.92 (step @p2857 :rule nary_cong :premises (@p2856 @p2855) :args (@t4541)) % 1.71/1.92 (step @p2858 :rule quant-miniscope-or :args ((= @t4538 @t4541))) % 1.71/1.92 (step @p2859 :rule trans :premises (@p2858 @p2857)) % 1.71/1.92 (step @p2860 :rule symm :premises (@p2859)) % 1.71/1.92 (step @p2861 :rule cong :premises (@p2860) :args ((forall @t863 (or @t2404 @t4551)))) % 1.71/1.92 (step @p2862 :rule trans :premises (@p2861 @p2854)) % 1.71/1.92 (step @p2863 :rule trans :premises (@p2862 @p2853)) % 1.71/1.92 (step @p2864 :rule bool-impl-elim :args (@t2403 @t4551)) % 1.71/1.92 (step @p2865 :rule cong :premises (@p2864) :args ((forall @t863 (=> @t2403 @t4551)))) % 1.71/1.92 (step @p2866 :rule trans :premises (@p2865 @p2863)) % 1.71/1.92 (step @p2867 :rule aci_norm :args ((= @t4553 @t4549))) % 1.71/1.92 (step @p2868 :rule cong :premises (@p2867) :args (@t4554)) % 1.71/1.92 (step @p2869 :rule quant-merge-prenex :args ((= (forall @t1585 @t4556) @t4554))) % 1.71/1.92 (step @p2870 :rule alpha_equiv :args (@t4557 (@list @t4540) @t3867)) % 1.71/1.92 (step @p2871 :rule refl :args (@t4546)) % 1.71/1.92 (step @p2872 :rule refl :args (@t4548)) % 1.71/1.92 (step @p2873 :rule nary_cong :premises (@p2872 @p2871 @p2870) :args (@t4558)) % 1.71/1.92 (step @p2874 :rule quant-miniscope-or :args ((= @t4556 @t4558))) % 1.71/1.92 (step @p2875 :rule trans :premises (@p2874 @p2873)) % 1.71/1.92 (step @p2876 :rule symm :premises (@p2875)) % 1.71/1.92 (step @p2877 :rule cong :premises (@p2876) :args ((forall @t1585 (or @t4548 @t4546 @t4567)))) % 1.71/1.92 (step @p2878 :rule trans :premises (@p2877 @p2869)) % 1.71/1.92 (step @p2879 :rule trans :premises (@p2878 @p2868)) % 1.71/1.92 (step @p2880 :rule refl :args (@t4567)) % 1.71/1.92 (step @p2881 :rule refl :args (@t4545)) % 1.71/1.92 (step @p2882 :rule refl :args (@t1580)) % 1.71/1.92 (step @p2883 :rule cong :premises (@p2882 @p2881) :args ((= @t1580 @t4545))) % 1.71/1.92 (step @p2884 :rule symm :premises (@p2883)) % 1.71/1.92 (step @p2885 :rule eq_resolve :premises (@p2882 @p2884)) % 1.71/1.92 (step @p2886 :rule cong :premises (@p2885) :args (@t4568)) % 1.71/1.92 (step @p2887 :rule refl :args ((tptp.in @t938 @t1582))) % 1.71/1.92 (step @p2888 :rule refl :args (@t2396)) % 1.71/1.92 (step @p2889 :rule cong :premises (@p1514 @p2888) :args (@t4547)) % 1.71/1.92 (step @p2890 :rule trans :premises (@p2889 @p2887)) % 1.71/1.92 (step @p2891 :rule refl :args (@t1565)) % 1.71/1.92 (step @p2892 :rule ho_cong :premises (@p2891 @p2888)) % 1.71/1.92 (step @p2893 :rule cong :premises (@p2892 @p2890) :args ((= (_ @t1565 @t2396) @t4547))) % 1.71/1.92 (step @p2894 :rule symm :premises (@p2893)) % 1.71/1.92 (step @p2895 :rule refl :args (@t1583)) % 1.71/1.92 (step @p2896 :rule eq_resolve :premises (@p2895 @p2894)) % 1.71/1.92 (step @p2897 :rule refl :args (@t1582)) % 1.71/1.92 (step @p2898 :rule cong :premises (@p2897 @p2888) :args ((= @t1582 @t2396))) % 1.71/1.92 (step @p2899 :rule symm :premises (@p2898)) % 1.71/1.92 (step @p2900 :rule eq_resolve :premises (@p2897 @p2899)) % 1.71/1.92 (step @p2901 :rule ho_cong :premises (@p2891 @p2900)) % 1.71/1.92 (step @p2902 :rule trans :premises (@p2901 @p2896)) % 1.71/1.92 (step @p2903 :rule cong :premises (@p2902) :args (@t4569)) % 1.71/1.92 (step @p2904 :rule nary_cong :premises (@p2903 @p2886 @p2880) :args (@t4570)) % 1.71/1.92 (step @p2905 :rule cong :premises (@p2904) :args ((forall @t1585 @t4570))) % 1.71/1.92 (step @p2906 :rule trans :premises (@p2905 @p2879)) % 1.71/1.92 (step @p2907 :rule aci_norm :args ((= (or @t4569 (or @t4568 @t4567)) @t4570))) % 1.71/1.92 (step @p2908 :rule bool-impl-elim :args (@t1580 @t4567)) % 1.71/1.92 (step @p2909 :rule refl :args (@t4569)) % 1.71/1.92 (step @p2910 :rule nary_cong :premises (@p2909 @p2908) :args ((or @t4569 @t4571))) % 1.71/1.93 (step @p2911 :rule trans :premises (@p2910 @p2907)) % 1.71/1.93 (step @p2912 :rule bool-impl-elim :args (@t1583 @t4571)) % 1.71/1.93 (step @p2913 :rule trans :premises (@p2912 @p2911)) % 1.71/1.93 (step @p2914 :rule cong :premises (@p2913) :args ((forall @t1585 (=> @t1583 @t4571)))) % 1.71/1.93 (step @p2915 :rule trans :premises (@p2914 @p2906)) % 1.71/1.93 (step @p2916 :rule refl :args ((tptp.singleton @t4577))) % 1.71/1.93 (step @p2917 :rule refl :args ((tptp.dsetconstr @t1 @t4576))) % 1.71/1.93 (step @p2918 :rule refl :args ((tptp.in @t1570 @t938))) % 1.71/1.93 (step @p2919 :rule refl :args (@t2389)) % 1.71/1.93 (step @p2920 :rule cong :premises (@p2919 @p1514) :args (@t4542)) % 1.71/1.93 (step @p2921 :rule trans :premises (@p2920 @p2918)) % 1.71/1.93 (step @p2922 :rule refl :args (@t4559)) % 1.71/1.93 (step @p2923 :rule cong :premises (@p2922) :args (@t4560)) % 1.71/1.93 (step @p2924 :rule refl :args (@t2391)) % 1.71/1.93 (step @p2925 :rule cong :premises (@p2924) :args (@t2392)) % 1.71/1.93 (step @p2926 :rule nary_cong :premises (@p2925 @p2923 @p2921) :args (@t4561)) % 1.71/1.93 (step @p2927 :rule cong :premises (@p2926) :args (@t4562)) % 1.71/1.93 (step @p2928 :rule nary_cong :premises (@p2820 @p2927) :args (@t4563)) % 1.71/1.93 (step @p2929 :rule cong :premises (@p2928) :args (@t4564)) % 1.71/1.93 (step @p2930 :rule refl :args (@t1)) % 1.71/1.93 (step @p2931 :rule cong :premises (@p2930 @p2929) :args (@t4565)) % 1.71/1.93 (step @p2932 :rule trans :premises (@p2931 @p2917)) % 1.71/1.93 (step @p2933 :rule cong :premises (@p2932) :args (@t4566)) % 1.71/1.93 (step @p2934 :rule trans :premises (@p2933 @p2916)) % 1.71/1.93 (step @p2935 :rule refl :args (tptp.singleton)) % 1.71/1.93 (step @p2936 :rule ho_cong :premises (@p2935 @p2932)) % 1.71/1.93 (step @p2937 :rule cong :premises (@p2936 @p2934) :args ((= (_ tptp.singleton @t4565) @t4566))) % 1.71/1.93 (step @p2938 :rule symm :premises (@p2937)) % 1.71/1.93 (step @p2939 :rule refl :args ((_ tptp.singleton @t4577))) % 1.71/1.93 (step @p2940 :rule eq_resolve :premises (@p2939 @p2938)) % 1.71/1.93 (step @p2941 :rule refl :args (@t410)) % 1.71/1.93 (step @p2942 :rule ho_cong :premises (@p2941 @p2929)) % 1.71/1.93 (step @p2943 :rule cong :premises (@p2942 @p2932) :args ((= (_ @t410 @t4564) @t4565))) % 1.71/1.93 (step @p2944 :rule symm :premises (@p2943)) % 1.71/1.93 (step @p2945 :rule refl :args (@t4577)) % 1.71/1.93 (step @p2946 :rule eq_resolve :premises (@p2945 @p2944)) % 1.71/1.93 (step @p2947 :rule refl :args (@t4562)) % 1.71/1.93 (step @p2948 :rule nary_cong :premises (@p2840 @p2947) :args (@t4578)) % 1.71/1.93 (step @p2949 :rule cong :premises (@p2948) :args (@t4579)) % 1.71/1.93 (step @p2950 :rule ho_cong :premises (@p2941 @p2949)) % 1.71/1.93 (step @p2951 :rule trans :premises (@p2950 @p2946)) % 1.71/1.93 (step @p2952 :rule ho_cong :premises (@p2935 @p2951)) % 1.71/1.93 (step @p2953 :rule trans :premises (@p2952 @p2940)) % 1.71/1.93 (step @p2954 :rule nary_cong :premises (@p1615 @p2953) :args (@t4581)) % 1.71/1.93 (step @p2955 :rule cong :premises (@p2954) :args ((forall @t9 @t4581))) % 1.71/1.93 (step @p2956 :rule bool-impl-elim :args (@t7 @t4580)) % 1.71/1.93 (step @p2957 :rule cong :premises (@p2956) :args ((forall @t9 (=> @t7 @t4580)))) % 1.71/1.93 (step @p2958 :rule trans :premises (@p2957 @p2955)) % 1.71/1.93 (step @p2959 :rule ho_cong :premises (@p1628 @p2919)) % 1.71/1.93 (step @p2960 :rule ho_cong :premises (@p2959 @p1514)) % 1.71/1.93 (step @p2961 :rule cong :premises (@p2960 @p2921) :args ((= (_ (_ tptp.in @t2389) @t938) @t4542))) % 1.71/1.93 (step @p2962 :rule symm :premises (@p2961)) % 1.71/1.93 (step @p2963 :rule refl :args (@t1571)) % 1.71/1.93 (step @p2964 :rule eq_resolve :premises (@p2963 @p2962)) % 1.71/1.93 (step @p2965 :rule refl :args (@t1570)) % 1.71/1.93 (step @p2966 :rule cong :premises (@p2965 @p2919) :args ((= @t1570 @t2389))) % 1.71/1.93 (step @p2967 :rule symm :premises (@p2966)) % 1.71/1.93 (step @p2968 :rule eq_resolve :premises (@p2965 @p2967)) % 1.71/1.93 (step @p2969 :rule ho_cong :premises (@p1628 @p2968)) % 1.71/1.93 (step @p2970 :rule ho_cong :premises (@p2969 @p1514)) % 1.71/1.93 (step @p2971 :rule trans :premises (@p2970 @p2964)) % 1.71/1.93 (step @p2972 :rule refl :args (@t1572)) % 1.71/1.93 (step @p2973 :rule cong :premises (@p2972 @p2922) :args ((= @t1572 @t4559))) % 1.71/1.93 (step @p2974 :rule symm :premises (@p2973)) % 1.71/1.93 (step @p2975 :rule eq_resolve :premises (@p2972 @p2974)) % 1.71/1.93 (step @p2976 :rule cong :premises (@p2975) :args (@t4572)) % 1.71/1.93 (step @p2977 :rule refl :args (@t1574)) % 1.71/1.93 (step @p2978 :rule cong :premises (@p2977 @p2924) :args ((= @t1574 @t2391))) % 1.71/1.93 (step @p2979 :rule symm :premises (@p2978)) % 1.71/1.93 (step @p2980 :rule eq_resolve :premises (@p2977 @p2979)) % 1.71/1.93 (step @p2981 :rule cong :premises (@p2980) :args (@t4573)) % 1.71/1.93 (step @p2982 :rule nary_cong :premises (@p2981 @p2976 @p2971) :args (@t4574)) % 1.71/1.93 (step @p2983 :rule cong :premises (@p2982) :args (@t4575)) % 1.71/1.93 (step @p2984 :rule aci_norm :args ((= (or @t4573 (or @t4572 @t1571)) @t4574))) % 1.71/1.93 (step @p2985 :rule bool-impl-elim :args (@t1572 @t1571)) % 1.71/1.93 (step @p2986 :rule refl :args (@t4573)) % 1.71/1.93 (step @p2987 :rule nary_cong :premises (@p2986 @p2985) :args ((or @t4573 @t1573))) % 1.71/1.93 (step @p2988 :rule trans :premises (@p2987 @p2984)) % 1.71/1.93 (step @p2989 :rule bool-impl-elim :args (@t1574 @t1573)) % 1.71/1.93 (step @p2990 :rule trans :premises (@p2989 @p2988)) % 1.71/1.93 (step @p2991 :rule cong :premises (@p2990) :args (@t1575)) % 1.71/1.93 (step @p2992 :rule trans :premises (@p2991 @p2983)) % 1.71/1.93 (step @p2993 :rule refl :args (@t76)) % 1.71/1.93 (step @p2994 :rule nary_cong :premises (@p2993 @p2992) :args (@t1576)) % 1.71/1.93 (step @p2995 :rule cong :premises (@p2994) :args (@t1577)) % 1.71/1.93 (step @p2996 :rule refl :args (@t410)) % 1.71/1.93 (step @p2997 :rule ho_cong :premises (@p2996 @p2995)) % 1.71/1.93 (step @p2998 :rule refl :args (tptp.singleton)) % 1.71/1.93 (step @p2999 :rule ho_cong :premises (@p2998 @p2997)) % 1.71/1.93 (step @p3000 :rule cong :premises (@p1729 @p2999) :args (@t1578)) % 1.71/1.93 (step @p3001 :rule cong :premises (@p3000) :args (@t1579)) % 1.71/1.93 (step @p3002 :rule trans :premises (@p3001 @p2958)) % 1.71/1.93 (step @p3003 :rule refl :args (@t1580)) % 1.71/1.93 (step @p3004 :rule cong :premises (@p3003 @p3002) :args (@t1581)) % 1.71/1.93 (step @p3005 :rule refl :args (@t1583)) % 1.71/1.93 (step @p3006 :rule cong :premises (@p3005 @p3004) :args (@t1584)) % 1.71/1.93 (step @p3007 :rule cong :premises (@p3006) :args (@t1586)) % 1.71/1.93 (step @p3008 :rule trans :premises (@p3007 @p2915)) % 1.71/1.93 (step @p3009 :rule refl :args (@t2402)) % 1.71/1.93 (step @p3010 :rule nary_cong :premises (@p1615 @p3009) :args (@t4582)) % 1.71/1.93 (step @p3011 :rule cong :premises (@p3010) :args ((forall @t9 @t4582))) % 1.71/1.93 (step @p3012 :rule bool-impl-elim :args (@t7 @t2402)) % 1.71/1.93 (step @p3013 :rule cong :premises (@p3012) :args ((forall @t9 (=> @t7 @t2402)))) % 1.71/1.93 (step @p3014 :rule trans :premises (@p3013 @p3011)) % 1.71/1.93 (step @p3015 :rule cong :premises (@p2840) :args (@t4583)) % 1.71/1.93 (step @p3016 :rule refl :args (@t2400)) % 1.71/1.93 (step @p3017 :rule refl :args (@t354)) % 1.71/1.93 (step @p3018 :rule cong :premises (@p3017 @p3016) :args ((= @t354 @t2400))) % 1.71/1.93 (step @p3019 :rule symm :premises (@p3018)) % 1.71/1.93 (step @p3020 :rule eq_resolve :premises (@p3017 @p3019)) % 1.71/1.93 (step @p3021 :rule cong :premises (@p3020) :args (@t4584)) % 1.71/1.93 (step @p3022 :rule nary_cong :premises (@p3021 @p3015) :args (@t4585)) % 1.71/1.93 (step @p3023 :rule cong :premises (@p3022) :args ((forall @t70 @t4585))) % 1.71/1.93 (step @p3024 :rule bool-and-de-morgan :args (@t354 @t76 true)) % 1.71/1.93 (step @p3025 :rule cong :premises (@p3024) :args (@t4586)) % 1.71/1.93 (step @p3026 :rule trans :premises (@p3025 @p3023)) % 1.71/1.93 (step @p3027 :rule cong :premises (@p3026) :args (@t4587)) % 1.71/1.93 (step @p3028 :rule exists-elim :args ((= @t1588 @t4587))) % 1.71/1.93 (step @p3029 :rule trans :premises (@p3028 @p3027)) % 1.71/1.93 (step @p3030 :rule cong :premises (@p1729 @p3029) :args (@t1589)) % 1.71/1.93 (step @p3031 :rule cong :premises (@p3030) :args (@t1590)) % 1.71/1.93 (step @p3032 :rule trans :premises (@p3031 @p3014)) % 1.71/1.93 (step @p3033 :rule cong :premises (@p3032 @p3008) :args (@t1591)) % 1.71/1.93 (step @p3034 :rule cong :premises (@p3033) :args (@t1592)) % 1.71/1.93 (step @p3035 :rule trans :premises (@p3034 @p2866)) % 1.71/1.93 (step @p3036 :rule refl :args (tptp.choice2fnsingleton)) % 1.71/1.93 (step @p3037 :rule cong :premises (@p3036 @p3035) :args (@t1593)) % 1.71/1.93 (step @p3038 :rule eq_resolve :premises (@p287 @p3037)) % 1.71/1.93 (step @p3039 :rule cong :premises (@p3038 @p2851) :args (@t4588)) % 1.71/1.93 (step @p3040 :rule refl :args ((tptp.in @t938 @t1564))) % 1.71/1.93 (step @p3041 :rule refl :args (@t2407)) % 1.71/1.93 (step @p3042 :rule cong :premises (@p1514 @p3041) :args (@t2408)) % 1.71/1.93 (step @p3043 :rule trans :premises (@p3042 @p3040)) % 1.71/1.93 (step @p3044 :rule ho_cong :premises (@p2891 @p3041)) % 1.71/1.93 (step @p3045 :rule cong :premises (@p3044 @p3043) :args ((= (_ @t1565 @t2407) @t2408))) % 1.71/1.93 (step @p3046 :rule symm :premises (@p3045)) % 1.71/1.93 (step @p3047 :rule refl :args (@t1566)) % 1.71/1.93 (step @p3048 :rule eq_resolve :premises (@p3047 @p3046)) % 1.71/1.93 (step @p3049 :rule refl :args (@t1564)) % 1.71/1.93 (step @p3050 :rule cong :premises (@p3049 @p3041) :args ((= @t1564 @t2407))) % 1.71/1.93 (step @p3051 :rule symm :premises (@p3050)) % 1.71/1.93 (step @p3052 :rule eq_resolve :premises (@p3049 @p3051)) % 1.71/1.93 (step @p3053 :rule ho_cong :premises (@p2891 @p3052)) % 1.71/1.93 (step @p3054 :rule trans :premises (@p3053 @p3048)) % 1.71/1.93 (step @p3055 :rule cong :premises (@p3054) :args (@t4589)) % 1.71/1.93 (step @p3056 :rule nary_cong :premises (@p3055 @p1225) :args (@t4590)) % 1.71/1.93 (step @p3057 :rule cong :premises (@p3056) :args ((forall @t1561 @t4590))) % 1.71/1.93 (step @p3058 :rule bool-impl-elim :args (@t1566 @t1559)) % 1.71/1.93 (step @p3059 :rule cong :premises (@p3058) :args (@t1567)) % 1.71/1.93 (step @p3060 :rule trans :premises (@p3059 @p3057)) % 1.71/1.93 (step @p3061 :rule refl :args (tptp.breln1SetBreln1)) % 1.71/1.93 (step @p3062 :rule cong :premises (@p3061 @p3060) :args (@t1568)) % 1.71/1.93 (step @p3063 :rule eq_resolve :premises (@p286 @p3062)) % 1.71/1.93 (step @p3064 :rule cong :premises (@p3063 @p3039) :args (@t4591)) % 1.71/1.93 (step @p3065 :rule refl :args (tptp.breln1all2)) % 1.71/1.93 (step @p3066 :rule cong :premises (@p3065 @p2807) :args (@t1563)) % 1.71/1.93 (step @p3067 :rule eq_resolve :premises (@p285 @p3066)) % 1.71/1.93 (step @p3068 :rule cong :premises (@p3067 @p3064) :args (@t4592)) % 1.71/1.93 (step @p3069 :rule eq-symm :args (@t2419 tptp.woz1_5)) % 1.71/1.93 (step @p3070 :rule refl :args (tptp.woz1_5)) % 1.71/1.93 (step @p3071 :rule aci_norm :args ((= @t4594 @t2417))) % 1.71/1.93 (step @p3072 :rule cong :premises (@p3071) :args (@t4595)) % 1.71/1.93 (step @p3073 :rule quant-merge-prenex :args ((= (forall @t1142 @t4597) @t4595))) % 1.71/1.93 (step @p3074 :rule alpha_equiv :args (@t4598 (@list @t2411) @t4599)) % 1.71/1.93 (step @p3075 :rule refl :args (@t2416)) % 1.71/1.93 (step @p3076 :rule nary_cong :premises (@p3075 @p3074) :args (@t4600)) % 1.71/1.93 (step @p3077 :rule quant-miniscope-or :args ((= @t4597 @t4600))) % 1.71/1.93 (step @p3078 :rule trans :premises (@p3077 @p3076)) % 1.71/1.93 (step @p3079 :rule symm :premises (@p3078)) % 1.71/1.93 (step @p3080 :rule cong :premises (@p3079) :args ((forall @t1142 (or @t2416 @t4606)))) % 1.71/1.93 (step @p3081 :rule trans :premises (@p3080 @p3073)) % 1.71/1.93 (step @p3082 :rule trans :premises (@p3081 @p3072)) % 1.71/1.93 (step @p3083 :rule refl :args (@t4606)) % 1.71/1.93 (step @p3084 :rule refl :args ((tptp.in @t695 @t33))) % 1.71/1.93 (step @p3085 :rule refl :args (@t2413)) % 1.71/1.93 (step @p3086 :rule refl :args (@t695)) % 1.71/1.93 (step @p3087 :rule cong :premises (@p3086 @p3085) :args (@t2415)) % 1.71/1.93 (step @p3088 :rule trans :premises (@p3087 @p3084)) % 1.71/1.93 (step @p3089 :rule refl :args (@t697)) % 1.71/1.93 (step @p3090 :rule ho_cong :premises (@p3089 @p3085)) % 1.71/1.93 (step @p3091 :rule cong :premises (@p3090 @p3088) :args ((= (_ @t697 @t2413) @t2415))) % 1.71/1.93 (step @p3092 :rule symm :premises (@p3091)) % 1.71/1.93 (step @p3093 :rule refl :args (@t1140)) % 1.71/1.93 (step @p3094 :rule eq_resolve :premises (@p3093 @p3092)) % 1.71/1.93 (step @p3095 :rule refl :args (@t33)) % 1.71/1.93 (step @p3096 :rule cong :premises (@p3095 @p3085) :args ((= @t33 @t2413))) % 1.71/1.93 (step @p3097 :rule symm :premises (@p3096)) % 1.71/1.93 (step @p3098 :rule eq_resolve :premises (@p3095 @p3097)) % 1.71/1.93 (step @p3099 :rule ho_cong :premises (@p3089 @p3098)) % 1.71/1.93 (step @p3100 :rule trans :premises (@p3099 @p3094)) % 1.71/1.93 (step @p3101 :rule cong :premises (@p3100) :args (@t4607)) % 1.71/1.93 (step @p3102 :rule nary_cong :premises (@p3101 @p3083) :args (@t4608)) % 1.71/1.93 (step @p3103 :rule cong :premises (@p3102) :args ((forall @t1142 @t4608))) % 1.71/1.93 (step @p3104 :rule trans :premises (@p3103 @p3082)) % 1.71/1.93 (step @p3105 :rule bool-impl-elim :args (@t1140 @t4606)) % 1.71/1.93 (step @p3106 :rule cong :premises (@p3105) :args ((forall @t1142 (=> @t1140 @t4606)))) % 1.71/1.93 (step @p3107 :rule trans :premises (@p3106 @p3104)) % 1.71/1.93 (step @p3108 :rule refl :args ((tptp.in @t1387 @t1422))) % 1.71/1.93 (step @p3109 :rule refl :args ((tptp.powerset @t1163))) % 1.71/1.93 (step @p3110 :rule refl :args (@t2409)) % 1.71/1.93 (step @p3111 :rule cong :premises (@p3110) :args (@t2410)) % 1.71/1.93 (step @p3112 :rule trans :premises (@p3111 @p3109)) % 1.71/1.93 (step @p3113 :rule refl :args ((tptp.setminus @t2 @t1146))) % 1.71/1.93 (step @p3114 :rule refl :args (@t4601)) % 1.71/1.93 (step @p3115 :rule cong :premises (@p973 @p3114) :args (@t4602)) % 1.71/1.93 (step @p3116 :rule trans :premises (@p3115 @p3113)) % 1.71/1.93 (step @p3117 :rule cong :premises (@p3116 @p3112) :args (@t4603)) % 1.71/1.93 (step @p3118 :rule trans :premises (@p3117 @p3108)) % 1.71/1.93 (step @p3119 :rule ho_cong :premises (@p1628 @p3116)) % 1.71/1.93 (step @p3120 :rule ho_cong :premises (@p3119 @p3112)) % 1.71/1.93 (step @p3121 :rule cong :premises (@p3120 @p3118) :args ((= (_ (_ tptp.in @t4602) @t2410) @t4603))) % 1.71/1.93 (step @p3122 :rule symm :premises (@p3121)) % 1.71/1.93 (step @p3123 :rule refl :args (@t1423)) % 1.71/1.93 (step @p3124 :rule eq_resolve :premises (@p3123 @p3122)) % 1.71/1.93 (step @p3125 :rule refl :args (tptp.powerset)) % 1.71/1.93 (step @p3126 :rule ho_cong :premises (@p3125 @p3110)) % 1.71/1.93 (step @p3127 :rule cong :premises (@p3126 @p3112) :args ((= (_ tptp.powerset @t2409) @t2410))) % 1.71/1.93 (step @p3128 :rule symm :premises (@p3127)) % 1.71/1.93 (step @p3129 :rule refl :args (@t1422)) % 1.71/1.93 (step @p3130 :rule eq_resolve :premises (@p3129 @p3128)) % 1.71/1.93 (step @p3131 :rule refl :args (@t1163)) % 1.71/1.93 (step @p3132 :rule cong :premises (@p3131 @p3110) :args ((= @t1163 @t2409))) % 1.71/1.93 (step @p3133 :rule symm :premises (@p3132)) % 1.71/1.93 (step @p3134 :rule eq_resolve :premises (@p3131 @p3133)) % 1.71/1.93 (step @p3135 :rule ho_cong :premises (@p3125 @p3134)) % 1.71/1.93 (step @p3136 :rule trans :premises (@p3135 @p3130)) % 1.71/1.93 (step @p3137 :rule refl :args (@t567)) % 1.71/1.93 (step @p3138 :rule ho_cong :premises (@p3137 @p3114)) % 1.71/1.93 (step @p3139 :rule cong :premises (@p3138 @p3116) :args ((= (_ @t567 @t4601) @t4602))) % 1.71/1.93 (step @p3140 :rule symm :premises (@p3139)) % 1.71/1.93 (step @p3141 :rule refl :args (@t1387)) % 1.71/1.93 (step @p3142 :rule eq_resolve :premises (@p3141 @p3140)) % 1.71/1.93 (step @p3143 :rule refl :args (@t1146)) % 1.71/1.93 (step @p3144 :rule cong :premises (@p3143 @p3114) :args ((= @t1146 @t4601))) % 1.71/1.93 (step @p3145 :rule symm :premises (@p3144)) % 1.71/1.93 (step @p3146 :rule eq_resolve :premises (@p3143 @p3145)) % 1.71/1.93 (step @p3147 :rule ho_cong :premises (@p3137 @p3146)) % 1.71/1.93 (step @p3148 :rule trans :premises (@p3147 @p3142)) % 1.71/1.93 (step @p3149 :rule ho_cong :premises (@p1628 @p3148)) % 1.71/1.93 (step @p3150 :rule ho_cong :premises (@p3149 @p3136)) % 1.71/1.93 (step @p3151 :rule trans :premises (@p3150 @p3124)) % 1.71/1.93 (step @p3152 :rule refl :args ((tptp.in @t1132 @t33))) % 1.71/1.93 (step @p3153 :rule refl :args (@t1132)) % 1.71/1.93 (step @p3154 :rule cong :premises (@p3153 @p3085) :args (@t4604)) % 1.71/1.93 (step @p3155 :rule trans :premises (@p3154 @p3152)) % 1.71/1.93 (step @p3156 :rule refl :args (@t1136)) % 1.71/1.93 (step @p3157 :rule ho_cong :premises (@p3156 @p3085)) % 1.71/1.93 (step @p3158 :rule cong :premises (@p3157 @p3155) :args ((= (_ @t1136 @t2413) @t4604))) % 1.71/1.93 (step @p3159 :rule symm :premises (@p3158)) % 1.71/1.93 (step @p3160 :rule refl :args (@t1137)) % 1.71/1.93 (step @p3161 :rule eq_resolve :premises (@p3160 @p3159)) % 1.71/1.93 (step @p3162 :rule ho_cong :premises (@p3156 @p3098)) % 1.71/1.93 (step @p3163 :rule trans :premises (@p3162 @p3161)) % 1.71/1.93 (step @p3164 :rule cong :premises (@p3163) :args (@t4609)) % 1.71/1.93 (step @p3165 :rule nary_cong :premises (@p3164 @p3151) :args (@t4610)) % 1.71/1.93 (step @p3166 :rule cong :premises (@p3165) :args ((forall @t1138 @t4610))) % 1.71/1.93 (step @p3167 :rule bool-impl-elim :args (@t1137 @t1423)) % 1.71/1.93 (step @p3168 :rule cong :premises (@p3167) :args (@t1424)) % 1.71/1.93 (step @p3169 :rule trans :premises (@p3168 @p3166)) % 1.71/1.93 (step @p3170 :rule refl :args (@t1140)) % 1.71/1.93 (step @p3171 :rule cong :premises (@p3170 @p3169) :args (@t1425)) % 1.71/1.93 (step @p3172 :rule cong :premises (@p3171) :args (@t1426)) % 1.71/1.93 (step @p3173 :rule trans :premises (@p3172 @p3107)) % 1.71/1.93 (step @p3174 :rule cong :premises (@p3173 @p3070) :args ((= @t1426 tptp.woz1_5))) % 1.71/1.93 (step @p3175 :rule trans :premises (@p3174 @p3069)) % 1.71/1.93 (step @p3176 :rule eq-symm :args (tptp.woz1_5 @t1426)) % 1.71/1.93 (step @p3177 :rule trans :premises (@p3176 @p3175)) % 1.71/1.93 (step @p3178 :rule eq_resolve :premises (@p284 @p3177)) % 1.71/1.93 (step @p3179 :rule cong :premises (@p3178 @p3068) :args (@t4611)) % 1.71/1.93 (step @p3180 :rule eq-symm :args (@t2426 tptp.woz1_4)) % 1.71/1.93 (step @p3181 :rule refl :args (tptp.woz1_4)) % 1.71/1.93 (step @p3182 :rule aci_norm :args ((= @t4613 @t2424))) % 1.71/1.93 (step @p3183 :rule cong :premises (@p3182) :args (@t4614)) % 1.71/1.93 (step @p3184 :rule quant-merge-prenex :args ((= (forall @t1142 @t4616) @t4614))) % 1.71/1.93 (step @p3185 :rule alpha_equiv :args (@t4617 (@list @t2420) @t4599)) % 1.71/1.93 (step @p3186 :rule nary_cong :premises (@p3075 @p3185) :args (@t4618)) % 1.71/1.93 (step @p3187 :rule quant-miniscope-or :args ((= @t4616 @t4618))) % 1.71/1.93 (step @p3188 :rule trans :premises (@p3187 @p3186)) % 1.71/1.93 (step @p3189 :rule symm :premises (@p3188)) % 1.71/1.93 (step @p3190 :rule cong :premises (@p3189) :args ((forall @t1142 (or @t2416 @t4623)))) % 1.71/1.93 (step @p3191 :rule trans :premises (@p3190 @p3184)) % 1.71/1.93 (step @p3192 :rule trans :premises (@p3191 @p3183)) % 1.71/1.93 (step @p3193 :rule refl :args (@t4623)) % 1.71/1.93 (step @p3194 :rule nary_cong :premises (@p3101 @p3193) :args (@t4624)) % 1.71/1.93 (step @p3195 :rule cong :premises (@p3194) :args ((forall @t1142 @t4624))) % 1.71/1.93 (step @p3196 :rule trans :premises (@p3195 @p3192)) % 1.71/1.93 (step @p3197 :rule bool-impl-elim :args (@t1140 @t4623)) % 1.71/1.93 (step @p3198 :rule cong :premises (@p3197) :args ((forall @t1142 (=> @t1140 @t4623)))) % 1.71/1.93 (step @p3199 :rule trans :premises (@p3198 @p3196)) % 1.71/1.93 (step @p3200 :rule refl :args ((tptp.subset @t1132 @t1163))) % 1.71/1.93 (step @p3201 :rule cong :premises (@p3153 @p3110) :args (@t4619)) % 1.71/1.93 (step @p3202 :rule trans :premises (@p3201 @p3200)) % 1.71/1.93 (step @p3203 :rule refl :args (@t1319)) % 1.71/1.93 (step @p3204 :rule ho_cong :premises (@p3203 @p3110)) % 1.71/1.93 (step @p3205 :rule cong :premises (@p3204 @p3202) :args ((= (_ @t1319 @t2409) @t4619))) % 1.71/1.93 (step @p3206 :rule symm :premises (@p3205)) % 1.71/1.93 (step @p3207 :rule refl :args (@t1320)) % 1.71/1.93 (step @p3208 :rule eq_resolve :premises (@p3207 @p3206)) % 1.71/1.93 (step @p3209 :rule ho_cong :premises (@p3203 @p3134)) % 1.71/1.93 (step @p3210 :rule trans :premises (@p3209 @p3208)) % 1.71/1.93 (step @p3211 :rule refl :args ((tptp.subset @t695 @t1235))) % 1.71/1.93 (step @p3212 :rule refl :args (@t4620)) % 1.71/1.93 (step @p3213 :rule cong :premises (@p3086 @p3212) :args (@t4621)) % 1.71/1.93 (step @p3214 :rule trans :premises (@p3213 @p3211)) % 1.71/1.93 (step @p3215 :rule refl :args (@t1181)) % 1.71/1.93 (step @p3216 :rule ho_cong :premises (@p3215 @p3212)) % 1.71/1.93 (step @p3217 :rule cong :premises (@p3216 @p3214) :args ((= (_ @t1181 @t4620) @t4621))) % 1.71/1.93 (step @p3218 :rule symm :premises (@p3217)) % 1.71/1.93 (step @p3219 :rule refl :args (@t1236)) % 1.71/1.93 (step @p3220 :rule eq_resolve :premises (@p3219 @p3218)) % 1.71/1.93 (step @p3221 :rule refl :args (@t1235)) % 1.71/1.93 (step @p3222 :rule cong :premises (@p3221 @p3212) :args ((= @t1235 @t4620))) % 1.71/1.93 (step @p3223 :rule symm :premises (@p3222)) % 1.71/1.93 (step @p3224 :rule eq_resolve :premises (@p3221 @p3223)) % 1.71/1.93 (step @p3225 :rule ho_cong :premises (@p3215 @p3224)) % 1.71/1.93 (step @p3226 :rule trans :premises (@p3225 @p3220)) % 1.71/1.93 (step @p3227 :rule cong :premises (@p3226) :args (@t4625)) % 1.71/1.93 (step @p3228 :rule nary_cong :premises (@p3164 @p3227 @p3210) :args (@t4626)) % 1.71/1.93 (step @p3229 :rule cong :premises (@p3228) :args ((forall @t1138 @t4626))) % 1.71/1.93 (step @p3230 :rule aci_norm :args ((= (or @t4609 (or @t4625 @t1320)) @t4626))) % 1.71/1.93 (step @p3231 :rule bool-impl-elim :args (@t1236 @t1320)) % 1.71/1.93 (step @p3232 :rule refl :args (@t4609)) % 1.71/1.93 (step @p3233 :rule nary_cong :premises (@p3232 @p3231) :args ((or @t4609 @t1321))) % 1.71/1.93 (step @p3234 :rule trans :premises (@p3233 @p3230)) % 1.71/1.93 (step @p3235 :rule bool-impl-elim :args (@t1137 @t1321)) % 1.71/1.93 (step @p3236 :rule trans :premises (@p3235 @p3234)) % 1.71/1.93 (step @p3237 :rule cong :premises (@p3236) :args (@t1322)) % 1.71/1.93 (step @p3238 :rule trans :premises (@p3237 @p3229)) % 1.71/1.93 (step @p3239 :rule cong :premises (@p3170 @p3238) :args (@t1323)) % 1.71/1.93 (step @p3240 :rule cong :premises (@p3239) :args (@t1324)) % 1.71/1.93 (step @p3241 :rule trans :premises (@p3240 @p3199)) % 1.71/1.93 (step @p3242 :rule cong :premises (@p3241 @p3181) :args ((= @t1324 tptp.woz1_4))) % 1.71/1.93 (step @p3243 :rule trans :premises (@p3242 @p3180)) % 1.71/1.93 (step @p3244 :rule eq-symm :args (tptp.woz1_4 @t1324)) % 1.71/1.93 (step @p3245 :rule trans :premises (@p3244 @p3243)) % 1.71/1.93 (step @p3246 :rule eq_resolve :premises (@p283 @p3245)) % 1.71/1.93 (step @p3247 :rule cong :premises (@p3246 @p3179) :args (@t4627)) % 1.71/1.93 (step @p3248 :rule eq-symm :args (@t2434 tptp.woz1_3)) % 1.71/1.93 (step @p3249 :rule refl :args (tptp.woz1_3)) % 1.71/1.93 (step @p3250 :rule aci_norm :args ((= @t4629 @t2432))) % 1.71/1.93 (step @p3251 :rule cong :premises (@p3250) :args (@t4630)) % 1.71/1.93 (step @p3252 :rule quant-merge-prenex :args ((= (forall @t1142 @t4632) @t4630))) % 1.71/1.93 (step @p3253 :rule alpha_equiv :args (@t4633 (@list @t2428 @t2427) (@list @t1132 @t4634))) % 1.71/1.93 (step @p3254 :rule nary_cong :premises (@p3075 @p3253) :args (@t4635)) % 1.71/1.93 (step @p3255 :rule quant-miniscope-or :args ((= @t4632 @t4635))) % 1.71/1.93 (step @p3256 :rule trans :premises (@p3255 @p3254)) % 1.71/1.93 (step @p3257 :rule symm :premises (@p3256)) % 1.71/1.93 (step @p3258 :rule cong :premises (@p3257) :args ((forall @t1142 (or @t2416 @t4641)))) % 1.71/1.93 (step @p3259 :rule trans :premises (@p3258 @p3252)) % 1.71/1.93 (step @p3260 :rule trans :premises (@p3259 @p3251)) % 1.71/1.93 (step @p3261 :rule refl :args (@t4641)) % 1.71/1.93 (step @p3262 :rule nary_cong :premises (@p3101 @p3261) :args (@t4642)) % 1.71/1.93 (step @p3263 :rule cong :premises (@p3262) :args ((forall @t1142 @t4642))) % 1.71/1.93 (step @p3264 :rule trans :premises (@p3263 @p3260)) % 1.71/1.93 (step @p3265 :rule bool-impl-elim :args (@t1140 @t4641)) % 1.71/1.93 (step @p3266 :rule cong :premises (@p3265) :args ((forall @t1142 (=> @t1140 @t4641)))) % 1.71/1.93 (step @p3267 :rule trans :premises (@p3266 @p3264)) % 1.71/1.93 (step @p3268 :rule aci_norm :args ((= @t4644 @t4639))) % 1.71/1.93 (step @p3269 :rule cong :premises (@p3268) :args (@t4645)) % 1.71/1.93 (step @p3270 :rule quant-merge-prenex :args ((= (forall @t1138 @t4647) @t4645))) % 1.71/1.93 (step @p3271 :rule alpha_equiv :args (@t4648 (@list @t4634) @t4649)) % 1.71/1.93 (step @p3272 :rule refl :args (@t4605)) % 1.71/1.93 (step @p3273 :rule nary_cong :premises (@p3272 @p3271) :args (@t4650)) % 1.71/1.93 (step @p3274 :rule quant-miniscope-or :args ((= @t4647 @t4650))) % 1.71/1.93 (step @p3275 :rule trans :premises (@p3274 @p3273)) % 1.71/1.93 (step @p3276 :rule symm :premises (@p3275)) % 1.71/1.93 (step @p3277 :rule cong :premises (@p3276) :args ((forall @t1138 (or @t4605 @t4658)))) % 1.71/1.93 (step @p3278 :rule trans :premises (@p3277 @p3270)) % 1.71/1.93 (step @p3279 :rule trans :premises (@p3278 @p3269)) % 1.71/1.93 (step @p3280 :rule refl :args (@t4658)) % 1.71/1.93 (step @p3281 :rule nary_cong :premises (@p3164 @p3280) :args (@t4659)) % 1.71/1.93 (step @p3282 :rule cong :premises (@p3281) :args ((forall @t1138 @t4659))) % 1.71/1.93 (step @p3283 :rule trans :premises (@p3282 @p3279)) % 1.71/1.93 (step @p3284 :rule bool-impl-elim :args (@t1137 @t4658)) % 1.71/1.93 (step @p3285 :rule cong :premises (@p3284) :args ((forall @t1138 (=> @t1137 @t4658)))) % 1.71/1.93 (step @p3286 :rule trans :premises (@p3285 @p3283)) % 1.71/1.93 (step @p3287 :rule refl :args ((tptp.in @t1133 @t1379))) % 1.71/1.93 (step @p3288 :rule refl :args ((tptp.powerset @t1368))) % 1.71/1.93 (step @p3289 :rule refl :args ((tptp.binintersect @t1343 @t1357))) % 1.71/1.93 (step @p3290 :rule refl :args (@t4651)) % 1.71/1.93 (step @p3291 :rule refl :args (@t4652)) % 1.71/1.93 (step @p3292 :rule cong :premises (@p3291 @p3290) :args (@t4653)) % 1.71/1.93 (step @p3293 :rule trans :premises (@p3292 @p3289)) % 1.71/1.93 (step @p3294 :rule cong :premises (@p3293) :args (@t4654)) % 1.71/1.93 (step @p3295 :rule trans :premises (@p3294 @p3288)) % 1.71/1.93 (step @p3296 :rule refl :args (@t4636)) % 1.71/1.93 (step @p3297 :rule cong :premises (@p3296 @p3295) :args (@t4655)) % 1.71/1.93 (step @p3298 :rule trans :premises (@p3297 @p3287)) % 1.71/1.93 (step @p3299 :rule ho_cong :premises (@p1628 @p3296)) % 1.71/1.93 (step @p3300 :rule ho_cong :premises (@p3299 @p3295)) % 1.71/1.93 (step @p3301 :rule cong :premises (@p3300 @p3298) :args ((= (_ @t4660 @t4654) @t4655))) % 1.71/1.93 (step @p3302 :rule symm :premises (@p3301)) % 1.71/1.93 (step @p3303 :rule refl :args (@t1380)) % 1.71/1.93 (step @p3304 :rule eq_resolve :premises (@p3303 @p3302)) % 1.71/1.93 (step @p3305 :rule ho_cong :premises (@p3125 @p3293)) % 1.71/1.93 (step @p3306 :rule cong :premises (@p3305 @p3295) :args ((= (_ tptp.powerset @t4653) @t4654))) % 1.71/1.93 (step @p3307 :rule symm :premises (@p3306)) % 1.71/1.93 (step @p3308 :rule refl :args (@t1379)) % 1.71/1.93 (step @p3309 :rule eq_resolve :premises (@p3308 @p3307)) % 1.71/1.93 (step @p3310 :rule refl :args (tptp.binintersect)) % 1.71/1.93 (step @p3311 :rule ho_cong :premises (@p3310 @p3291)) % 1.71/1.93 (step @p3312 :rule ho_cong :premises (@p3311 @p3290)) % 1.71/1.93 (step @p3313 :rule cong :premises (@p3312 @p3293) :args ((= (_ (_ tptp.binintersect @t4652) @t4651) @t4653))) % 1.71/1.93 (step @p3314 :rule symm :premises (@p3313)) % 1.71/1.93 (step @p3315 :rule refl :args (@t1368)) % 1.71/1.93 (step @p3316 :rule eq_resolve :premises (@p3315 @p3314)) % 1.71/1.93 (step @p3317 :rule refl :args (@t1357)) % 1.71/1.93 (step @p3318 :rule cong :premises (@p3317 @p3290) :args ((= @t1357 @t4651))) % 1.71/1.93 (step @p3319 :rule symm :premises (@p3318)) % 1.71/1.93 (step @p3320 :rule eq_resolve :premises (@p3317 @p3319)) % 1.71/1.93 (step @p3321 :rule refl :args (@t1343)) % 1.71/1.93 (step @p3322 :rule cong :premises (@p3321 @p3291) :args ((= @t1343 @t4652))) % 1.71/1.93 (step @p3323 :rule symm :premises (@p3322)) % 1.71/1.93 (step @p3324 :rule eq_resolve :premises (@p3321 @p3323)) % 1.71/1.93 (step @p3325 :rule ho_cong :premises (@p3310 @p3324)) % 1.71/1.93 (step @p3326 :rule ho_cong :premises (@p3325 @p3320)) % 1.71/1.93 (step @p3327 :rule trans :premises (@p3326 @p3316)) % 1.71/1.93 (step @p3328 :rule ho_cong :premises (@p3125 @p3327)) % 1.71/1.93 (step @p3329 :rule trans :premises (@p3328 @p3309)) % 1.71/1.93 (step @p3330 :rule refl :args (@t1133)) % 1.71/1.93 (step @p3331 :rule cong :premises (@p3330 @p3296) :args ((= @t1133 @t4636))) % 1.71/1.93 (step @p3332 :rule symm :premises (@p3331)) % 1.71/1.93 (step @p3333 :rule eq_resolve :premises (@p3330 @p3332)) % 1.71/1.93 (step @p3334 :rule ho_cong :premises (@p1628 @p3333)) % 1.71/1.93 (step @p3335 :rule ho_cong :premises (@p3334 @p3329)) % 1.71/1.93 (step @p3336 :rule trans :premises (@p3335 @p3304)) % 1.71/1.93 (step @p3337 :rule refl :args ((tptp.in @t1342 @t33))) % 1.71/1.93 (step @p3338 :rule refl :args (@t1342)) % 1.71/1.93 (step @p3339 :rule cong :premises (@p3338 @p3085) :args (@t4656)) % 1.71/1.93 (step @p3340 :rule trans :premises (@p3339 @p3337)) % 1.71/1.93 (step @p3341 :rule refl :args (@t1347)) % 1.71/1.93 (step @p3342 :rule ho_cong :premises (@p3341 @p3085)) % 1.71/1.93 (step @p3343 :rule cong :premises (@p3342 @p3340) :args ((= (_ @t1347 @t2413) @t4656))) % 1.71/1.93 (step @p3344 :rule symm :premises (@p3343)) % 1.71/1.93 (step @p3345 :rule refl :args (@t1348)) % 1.71/1.93 (step @p3346 :rule eq_resolve :premises (@p3345 @p3344)) % 1.71/1.93 (step @p3347 :rule ho_cong :premises (@p3341 @p3098)) % 1.71/1.93 (step @p3348 :rule trans :premises (@p3347 @p3346)) % 1.71/1.93 (step @p3349 :rule cong :premises (@p3348) :args (@t4661)) % 1.71/1.93 (step @p3350 :rule nary_cong :premises (@p3349 @p3336) :args (@t4662)) % 1.71/1.93 (step @p3351 :rule cong :premises (@p3350) :args ((forall @t1350 @t4662))) % 1.71/1.93 (step @p3352 :rule bool-impl-elim :args (@t1348 @t1380)) % 1.71/1.93 (step @p3353 :rule cong :premises (@p3352) :args (@t1381)) % 1.71/1.93 (step @p3354 :rule trans :premises (@p3353 @p3351)) % 1.71/1.93 (step @p3355 :rule refl :args (@t1137)) % 1.71/1.93 (step @p3356 :rule cong :premises (@p3355 @p3354) :args (@t1382)) % 1.71/1.93 (step @p3357 :rule cong :premises (@p3356) :args (@t1383)) % 1.71/1.93 (step @p3358 :rule trans :premises (@p3357 @p3286)) % 1.71/1.93 (step @p3359 :rule cong :premises (@p3170 @p3358) :args (@t1384)) % 1.71/1.93 (step @p3360 :rule cong :premises (@p3359) :args (@t1385)) % 1.71/1.93 (step @p3361 :rule trans :premises (@p3360 @p3267)) % 1.71/1.93 (step @p3362 :rule cong :premises (@p3361 @p3249) :args ((= @t1385 tptp.woz1_3))) % 1.71/1.93 (step @p3363 :rule trans :premises (@p3362 @p3248)) % 1.71/1.93 (step @p3364 :rule eq-symm :args (tptp.woz1_3 @t1385)) % 1.71/1.93 (step @p3365 :rule trans :premises (@p3364 @p3363)) % 1.71/1.93 (step @p3366 :rule eq_resolve :premises (@p282 @p3365)) % 1.71/1.93 (step @p3367 :rule cong :premises (@p3366 @p3247) :args (@t4663)) % 1.71/1.93 (step @p3368 :rule aci_norm :args ((= @t4665 @t2442))) % 1.71/1.93 (step @p3369 :rule cong :premises (@p3368) :args (@t4666)) % 1.71/1.93 (step @p3370 :rule quant-merge-prenex :args ((= (forall @t1142 @t4668) @t4666))) % 1.71/1.93 (step @p3371 :rule alpha_equiv :args (@t4669 (@list @t2437 @t2436 @t2435) (@list @t1132 @t4671 @t4670))) % 1.71/1.93 (step @p3372 :rule nary_cong :premises (@p3075 @p3371) :args (@t4672)) % 1.71/1.93 (step @p3373 :rule quant-miniscope-or :args ((= @t4668 @t4672))) % 1.71/1.93 (step @p3374 :rule trans :premises (@p3373 @p3372)) % 1.71/1.93 (step @p3375 :rule symm :premises (@p3374)) % 1.71/1.93 (step @p3376 :rule cong :premises (@p3375) :args ((forall @t1142 (or @t2416 @t4679)))) % 1.71/1.93 (step @p3377 :rule trans :premises (@p3376 @p3370)) % 1.71/1.93 (step @p3378 :rule trans :premises (@p3377 @p3369)) % 1.71/1.93 (step @p3379 :rule refl :args (@t4679)) % 1.71/1.93 (step @p3380 :rule nary_cong :premises (@p3101 @p3379) :args (@t4680)) % 1.71/1.93 (step @p3381 :rule cong :premises (@p3380) :args ((forall @t1142 @t4680))) % 1.71/1.93 (step @p3382 :rule trans :premises (@p3381 @p3378)) % 1.71/1.93 (step @p3383 :rule bool-impl-elim :args (@t1140 @t4679)) % 1.71/1.93 (step @p3384 :rule cong :premises (@p3383) :args ((forall @t1142 (=> @t1140 @t4679)))) % 1.71/1.93 (step @p3385 :rule trans :premises (@p3384 @p3382)) % 1.71/1.93 (step @p3386 :rule aci_norm :args ((= @t4682 @t4677))) % 1.71/1.93 (step @p3387 :rule cong :premises (@p3386) :args (@t4683)) % 1.71/1.93 (step @p3388 :rule quant-merge-prenex :args ((= (forall @t1138 @t4685) @t4683))) % 1.71/1.93 (step @p3389 :rule alpha_equiv :args (@t4686 (@list @t4671 @t4670) (@list @t1342 @t4687))) % 1.71/1.93 (step @p3390 :rule nary_cong :premises (@p3272 @p3389) :args (@t4688)) % 1.71/1.93 (step @p3391 :rule quant-miniscope-or :args ((= @t4685 @t4688))) % 1.71/1.93 (step @p3392 :rule trans :premises (@p3391 @p3390)) % 1.71/1.93 (step @p3393 :rule symm :premises (@p3392)) % 1.71/1.93 (step @p3394 :rule cong :premises (@p3393) :args ((forall @t1138 (or @t4605 @t4694)))) % 1.71/1.93 (step @p3395 :rule trans :premises (@p3394 @p3388)) % 1.71/1.93 (step @p3396 :rule trans :premises (@p3395 @p3387)) % 1.71/1.93 (step @p3397 :rule refl :args (@t4694)) % 1.71/1.93 (step @p3398 :rule nary_cong :premises (@p3164 @p3397) :args (@t4695)) % 1.71/1.93 (step @p3399 :rule cong :premises (@p3398) :args ((forall @t1138 @t4695))) % 1.71/1.93 (step @p3400 :rule trans :premises (@p3399 @p3396)) % 1.71/1.93 (step @p3401 :rule bool-impl-elim :args (@t1137 @t4694)) % 1.71/1.93 (step @p3402 :rule cong :premises (@p3401) :args ((forall @t1138 (=> @t1137 @t4694)))) % 1.71/1.93 (step @p3403 :rule trans :premises (@p3402 @p3400)) % 1.71/1.93 (step @p3404 :rule aci_norm :args ((= @t4697 @t4692))) % 1.71/1.93 (step @p3405 :rule cong :premises (@p3404) :args (@t4698)) % 1.71/1.93 (step @p3406 :rule quant-merge-prenex :args ((= (forall @t1350 @t4700) @t4698))) % 1.71/1.93 (step @p3407 :rule alpha_equiv :args (@t4701 (@list @t4687) @t4702)) % 1.71/1.93 (step @p3408 :rule refl :args (@t4657)) % 1.71/1.93 (step @p3409 :rule nary_cong :premises (@p3408 @p3407) :args (@t4703)) % 1.71/1.93 (step @p3410 :rule quant-miniscope-or :args ((= @t4700 @t4703))) % 1.71/1.93 (step @p3411 :rule trans :premises (@p3410 @p3409)) % 1.71/1.93 (step @p3412 :rule symm :premises (@p3411)) % 1.71/1.93 (step @p3413 :rule cong :premises (@p3412) :args ((forall @t1350 (or @t4657 @t4712)))) % 1.71/1.93 (step @p3414 :rule trans :premises (@p3413 @p3406)) % 1.71/1.93 (step @p3415 :rule trans :premises (@p3414 @p3405)) % 1.71/1.93 (step @p3416 :rule refl :args (@t4712)) % 1.71/1.93 (step @p3417 :rule nary_cong :premises (@p3349 @p3416) :args (@t4713)) % 1.71/1.93 (step @p3418 :rule cong :premises (@p3417) :args ((forall @t1350 @t4713))) % 1.71/1.93 (step @p3419 :rule trans :premises (@p3418 @p3415)) % 1.71/1.93 (step @p3420 :rule bool-impl-elim :args (@t1348 @t4712)) % 1.71/1.93 (step @p3421 :rule cong :premises (@p3420) :args ((forall @t1350 (=> @t1348 @t4712)))) % 1.71/1.93 (step @p3422 :rule trans :premises (@p3421 @p3419)) % 1.71/1.93 (step @p3423 :rule refl :args ((tptp.binunion @t1457 @t1539))) % 1.71/1.93 (step @p3424 :rule refl :args ((tptp.binintersect @t1538 @t1537))) % 1.71/1.93 (step @p3425 :rule refl :args (@t4704)) % 1.71/1.93 (step @p3426 :rule refl :args (@t4689)) % 1.71/1.93 (step @p3427 :rule cong :premises (@p3426 @p3425) :args (@t4705)) % 1.71/1.93 (step @p3428 :rule trans :premises (@p3427 @p3424)) % 1.71/1.93 (step @p3429 :rule refl :args ((tptp.binintersect @t1163 @t1235))) % 1.71/1.93 (step @p3430 :rule cong :premises (@p3110 @p3212) :args (@t4673)) % 1.71/1.93 (step @p3431 :rule trans :premises (@p3430 @p3429)) % 1.71/1.93 (step @p3432 :rule cong :premises (@p3431 @p3428) :args (@t4706)) % 1.71/1.93 (step @p3433 :rule trans :premises (@p3432 @p3423)) % 1.71/1.93 (step @p3434 :rule ho_cong :premises (@p1276 @p3431)) % 1.71/1.93 (step @p3435 :rule ho_cong :premises (@p3434 @p3428)) % 1.71/1.93 (step @p3436 :rule cong :premises (@p3435 @p3433) :args ((= (_ (_ tptp.binunion @t4673) @t4705) @t4706))) % 1.71/1.93 (step @p3437 :rule symm :premises (@p3436)) % 1.71/1.93 (step @p3438 :rule refl :args (@t1540)) % 1.71/1.93 (step @p3439 :rule eq_resolve :premises (@p3438 @p3437)) % 1.71/1.93 (step @p3440 :rule ho_cong :premises (@p3310 @p3426)) % 1.71/1.93 (step @p3441 :rule ho_cong :premises (@p3440 @p3425)) % 1.71/1.93 (step @p3442 :rule cong :premises (@p3441 @p3428) :args ((= (_ (_ tptp.binintersect @t4689) @t4704) @t4705))) % 1.71/1.93 (step @p3443 :rule symm :premises (@p3442)) % 1.71/1.93 (step @p3444 :rule refl :args (@t1539)) % 1.71/1.93 (step @p3445 :rule eq_resolve :premises (@p3444 @p3443)) % 1.71/1.93 (step @p3446 :rule refl :args (@t1537)) % 1.71/1.93 (step @p3447 :rule cong :premises (@p3446 @p3425) :args ((= @t1537 @t4704))) % 1.71/1.93 (step @p3448 :rule symm :premises (@p3447)) % 1.71/1.93 (step @p3449 :rule eq_resolve :premises (@p3446 @p3448)) % 1.71/1.93 (step @p3450 :rule refl :args (@t1538)) % 1.71/1.93 (step @p3451 :rule cong :premises (@p3450 @p3426) :args ((= @t1538 @t4689))) % 1.71/1.93 (step @p3452 :rule symm :premises (@p3451)) % 1.71/1.93 (step @p3453 :rule eq_resolve :premises (@p3450 @p3452)) % 1.71/1.93 (step @p3454 :rule ho_cong :premises (@p3310 @p3453)) % 1.71/1.93 (step @p3455 :rule ho_cong :premises (@p3454 @p3449)) % 1.71/1.93 (step @p3456 :rule trans :premises (@p3455 @p3445)) % 1.71/1.93 (step @p3457 :rule ho_cong :premises (@p3310 @p3110)) % 1.71/1.93 (step @p3458 :rule ho_cong :premises (@p3457 @p3212)) % 1.71/1.93 (step @p3459 :rule cong :premises (@p3458 @p3431) :args ((= (_ (_ tptp.binintersect @t2409) @t4620) @t4673))) % 1.71/1.93 (step @p3460 :rule symm :premises (@p3459)) % 1.71/1.93 (step @p3461 :rule refl :args (@t1457)) % 1.71/1.93 (step @p3462 :rule eq_resolve :premises (@p3461 @p3460)) % 1.71/1.93 (step @p3463 :rule ho_cong :premises (@p3310 @p3134)) % 1.71/1.93 (step @p3464 :rule ho_cong :premises (@p3463 @p3224)) % 1.71/1.93 (step @p3465 :rule trans :premises (@p3464 @p3462)) % 1.71/1.93 (step @p3466 :rule ho_cong :premises (@p1276 @p3465)) % 1.71/1.93 (step @p3467 :rule ho_cong :premises (@p3466 @p3456)) % 1.71/1.93 (step @p3468 :rule trans :premises (@p3467 @p3439)) % 1.71/1.93 (step @p3469 :rule refl :args ((tptp.setminus @t2 @t1542))) % 1.71/1.93 (step @p3470 :rule refl :args ((tptp.binintersect @t1146 @t1541))) % 1.71/1.93 (step @p3471 :rule refl :args (@t4707)) % 1.71/1.93 (step @p3472 :rule cong :premises (@p3114 @p3471) :args (@t4708)) % 1.71/1.93 (step @p3473 :rule trans :premises (@p3472 @p3470)) % 1.71/1.93 (step @p3474 :rule cong :premises (@p973 @p3473) :args (@t4709)) % 1.71/1.93 (step @p3475 :rule trans :premises (@p3474 @p3469)) % 1.71/1.93 (step @p3476 :rule ho_cong :premises (@p3137 @p3473)) % 1.71/1.93 (step @p3477 :rule cong :premises (@p3476 @p3475) :args ((= (_ @t567 @t4708) @t4709))) % 1.71/1.93 (step @p3478 :rule symm :premises (@p3477)) % 1.71/1.93 (step @p3479 :rule refl :args (@t1543)) % 1.71/1.93 (step @p3480 :rule eq_resolve :premises (@p3479 @p3478)) % 1.71/1.93 (step @p3481 :rule ho_cong :premises (@p3310 @p3114)) % 1.71/1.93 (step @p3482 :rule ho_cong :premises (@p3481 @p3471)) % 1.71/1.93 (step @p3483 :rule cong :premises (@p3482 @p3473) :args ((= (_ (_ tptp.binintersect @t4601) @t4707) @t4708))) % 1.71/1.93 (step @p3484 :rule symm :premises (@p3483)) % 1.71/1.93 (step @p3485 :rule refl :args (@t1542)) % 1.71/1.93 (step @p3486 :rule eq_resolve :premises (@p3485 @p3484)) % 1.71/1.93 (step @p3487 :rule refl :args (@t1541)) % 1.71/1.93 (step @p3488 :rule cong :premises (@p3487 @p3471) :args ((= @t1541 @t4707))) % 1.71/1.93 (step @p3489 :rule symm :premises (@p3488)) % 1.71/1.93 (step @p3490 :rule eq_resolve :premises (@p3487 @p3489)) % 1.71/1.93 (step @p3491 :rule ho_cong :premises (@p3310 @p3146)) % 1.71/1.93 (step @p3492 :rule ho_cong :premises (@p3491 @p3490)) % 1.71/1.93 (step @p3493 :rule trans :premises (@p3492 @p3486)) % 1.71/1.93 (step @p3494 :rule ho_cong :premises (@p3137 @p3493)) % 1.71/1.93 (step @p3495 :rule trans :premises (@p3494 @p3480)) % 1.71/1.93 (step @p3496 :rule cong :premises (@p3495 @p3468) :args (@t1544)) % 1.71/1.93 (step @p3497 :rule refl :args ((tptp.in @t1520 @t33))) % 1.71/1.93 (step @p3498 :rule refl :args (@t1520)) % 1.71/1.93 (step @p3499 :rule cong :premises (@p3498 @p3085) :args (@t4710)) % 1.71/1.93 (step @p3500 :rule trans :premises (@p3499 @p3497)) % 1.71/1.93 (step @p3501 :rule refl :args (@t1526)) % 1.71/1.93 (step @p3502 :rule ho_cong :premises (@p3501 @p3085)) % 1.71/1.93 (step @p3503 :rule cong :premises (@p3502 @p3500) :args ((= (_ @t1526 @t2413) @t4710))) % 1.71/1.93 (step @p3504 :rule symm :premises (@p3503)) % 1.71/1.93 (step @p3505 :rule refl :args (@t1527)) % 1.71/1.93 (step @p3506 :rule eq_resolve :premises (@p3505 @p3504)) % 1.71/1.93 (step @p3507 :rule ho_cong :premises (@p3501 @p3098)) % 1.71/1.93 (step @p3508 :rule trans :premises (@p3507 @p3506)) % 1.71/1.93 (step @p3509 :rule cong :premises (@p3508) :args (@t4714)) % 1.71/1.93 (step @p3510 :rule nary_cong :premises (@p3509 @p3496) :args (@t4715)) % 1.71/1.93 (step @p3511 :rule cong :premises (@p3510) :args ((forall @t1528 @t4715))) % 1.71/1.93 (step @p3512 :rule bool-impl-elim :args (@t1527 @t1544)) % 1.71/1.93 (step @p3513 :rule cong :premises (@p3512) :args (@t1545)) % 1.71/1.93 (step @p3514 :rule trans :premises (@p3513 @p3511)) % 1.71/1.93 (step @p3515 :rule refl :args (@t1348)) % 1.71/1.93 (step @p3516 :rule cong :premises (@p3515 @p3514) :args (@t1546)) % 1.71/1.93 (step @p3517 :rule cong :premises (@p3516) :args (@t1547)) % 1.71/1.93 (step @p3518 :rule trans :premises (@p3517 @p3422)) % 1.71/1.93 (step @p3519 :rule cong :premises (@p3355 @p3518) :args (@t1548)) % 1.71/1.93 (step @p3520 :rule cong :premises (@p3519) :args (@t1549)) % 1.71/1.93 (step @p3521 :rule trans :premises (@p3520 @p3403)) % 1.71/1.93 (step @p3522 :rule cong :premises (@p3170 @p3521) :args (@t1550)) % 1.71/1.93 (step @p3523 :rule cong :premises (@p3522) :args (@t1551)) % 1.71/1.93 (step @p3524 :rule trans :premises (@p3523 @p3385)) % 1.71/1.93 (step @p3525 :rule refl :args (tptp.woz1_2)) % 1.71/1.93 (step @p3526 :rule cong :premises (@p3525 @p3524) :args (@t1552)) % 1.71/1.93 (step @p3527 :rule eq_resolve :premises (@p281 @p3526)) % 1.71/1.93 (step @p3528 :rule cong :premises (@p3527 @p3367) :args (@t4716)) % 1.71/1.93 (step @p3529 :rule eq-symm :args (@t2449 tptp.woz1_1)) % 1.71/1.93 (step @p3530 :rule refl :args (tptp.woz1_1)) % 1.71/1.93 (step @p3531 :rule aci_norm :args ((= @t4718 @t2447))) % 1.71/1.93 (step @p3532 :rule cong :premises (@p3531) :args (@t4719)) % 1.71/1.93 (step @p3533 :rule quant-merge-prenex :args ((= (forall @t1142 @t4721) @t4719))) % 1.71/1.93 (step @p3534 :rule alpha_equiv :args (@t4722 (@list @t2444) @t4599)) % 1.71/1.93 (step @p3535 :rule nary_cong :premises (@p3075 @p3534) :args (@t4723)) % 1.71/1.93 (step @p3536 :rule quant-miniscope-or :args ((= @t4721 @t4723))) % 1.71/1.93 (step @p3537 :rule trans :premises (@p3536 @p3535)) % 1.71/1.93 (step @p3538 :rule symm :premises (@p3537)) % 1.71/1.93 (step @p3539 :rule cong :premises (@p3538) :args ((forall @t1142 (or @t2416 @t4727)))) % 1.71/1.93 (step @p3540 :rule trans :premises (@p3539 @p3533)) % 1.71/1.93 (step @p3541 :rule trans :premises (@p3540 @p3532)) % 1.71/1.93 (step @p3542 :rule refl :args (@t4727)) % 1.71/1.93 (step @p3543 :rule nary_cong :premises (@p3101 @p3542) :args (@t4728)) % 1.71/1.93 (step @p3544 :rule cong :premises (@p3543) :args ((forall @t1142 @t4728))) % 1.71/1.93 (step @p3545 :rule trans :premises (@p3544 @p3541)) % 1.71/1.93 (step @p3546 :rule bool-impl-elim :args (@t1140 @t4727)) % 1.71/1.93 (step @p3547 :rule cong :premises (@p3546) :args ((forall @t1142 (=> @t1140 @t4727)))) % 1.71/1.93 (step @p3548 :rule trans :premises (@p3547 @p3545)) % 1.71/1.93 (step @p3549 :rule refl :args ((tptp.in @t1163 @t1305))) % 1.71/1.93 (step @p3550 :rule refl :args ((tptp.powerset @t1291))) % 1.71/1.93 (step @p3551 :rule refl :args ((tptp.setminus @t2 @t1133))) % 1.71/1.93 (step @p3552 :rule cong :premises (@p973 @p3296) :args (@t4724)) % 1.71/1.93 (step @p3553 :rule trans :premises (@p3552 @p3551)) % 1.71/1.93 (step @p3554 :rule cong :premises (@p3553) :args (@t4725)) % 1.71/1.93 (step @p3555 :rule trans :premises (@p3554 @p3550)) % 1.71/1.93 (step @p3556 :rule cong :premises (@p3110 @p3555) :args (@t4726)) % 1.71/1.93 (step @p3557 :rule trans :premises (@p3556 @p3549)) % 1.71/1.93 (step @p3558 :rule ho_cong :premises (@p1628 @p3110)) % 1.71/1.93 (step @p3559 :rule ho_cong :premises (@p3558 @p3555)) % 1.71/1.93 (step @p3560 :rule cong :premises (@p3559 @p3557) :args ((= (_ @t4729 @t4725) @t4726))) % 1.71/1.93 (step @p3561 :rule symm :premises (@p3560)) % 1.71/1.93 (step @p3562 :rule refl :args (@t1306)) % 1.71/1.93 (step @p3563 :rule eq_resolve :premises (@p3562 @p3561)) % 1.71/1.93 (step @p3564 :rule ho_cong :premises (@p3125 @p3553)) % 1.71/1.93 (step @p3565 :rule cong :premises (@p3564 @p3555) :args ((= (_ tptp.powerset @t4724) @t4725))) % 1.71/1.93 (step @p3566 :rule symm :premises (@p3565)) % 1.71/1.93 (step @p3567 :rule refl :args (@t1305)) % 1.71/1.93 (step @p3568 :rule eq_resolve :premises (@p3567 @p3566)) % 1.71/1.93 (step @p3569 :rule ho_cong :premises (@p3137 @p3296)) % 1.71/1.93 (step @p3570 :rule cong :premises (@p3569 @p3553) :args ((= (_ @t567 @t4636) @t4724))) % 1.71/1.93 (step @p3571 :rule symm :premises (@p3570)) % 1.71/1.93 (step @p3572 :rule refl :args (@t1291)) % 1.71/1.93 (step @p3573 :rule eq_resolve :premises (@p3572 @p3571)) % 1.71/1.93 (step @p3574 :rule ho_cong :premises (@p3137 @p3333)) % 1.71/1.93 (step @p3575 :rule trans :premises (@p3574 @p3573)) % 1.71/1.93 (step @p3576 :rule ho_cong :premises (@p3125 @p3575)) % 1.71/1.93 (step @p3577 :rule trans :premises (@p3576 @p3568)) % 1.71/1.93 (step @p3578 :rule ho_cong :premises (@p1628 @p3134)) % 1.71/1.93 (step @p3579 :rule ho_cong :premises (@p3578 @p3577)) % 1.71/1.93 (step @p3580 :rule trans :premises (@p3579 @p3563)) % 1.71/1.93 (step @p3581 :rule nary_cong :premises (@p3164 @p3580) :args (@t4730)) % 1.71/1.93 (step @p3582 :rule cong :premises (@p3581) :args ((forall @t1138 @t4730))) % 1.71/1.93 (step @p3583 :rule bool-impl-elim :args (@t1137 @t1306)) % 1.71/1.93 (step @p3584 :rule cong :premises (@p3583) :args (@t1307)) % 1.71/1.93 (step @p3585 :rule trans :premises (@p3584 @p3582)) % 1.71/1.93 (step @p3586 :rule cong :premises (@p3170 @p3585) :args (@t1308)) % 1.71/1.93 (step @p3587 :rule cong :premises (@p3586) :args (@t1309)) % 1.71/1.93 (step @p3588 :rule trans :premises (@p3587 @p3548)) % 1.71/1.93 (step @p3589 :rule cong :premises (@p3588 @p3530) :args ((= @t1309 tptp.woz1_1))) % 1.71/1.93 (step @p3590 :rule trans :premises (@p3589 @p3529)) % 1.71/1.93 (step @p3591 :rule eq-symm :args (tptp.woz1_1 @t1309)) % 1.71/1.93 (step @p3592 :rule trans :premises (@p3591 @p3590)) % 1.71/1.93 (step @p3593 :rule eq_resolve :premises (@p280 @p3592)) % 1.71/1.93 (step @p3594 :rule cong :premises (@p3593 @p3528) :args (@t4731)) % 1.71/1.93 (step @p3595 :rule aci_norm :args ((= @t4733 @t2459))) % 1.71/1.93 (step @p3596 :rule cong :premises (@p3595) :args (@t4734)) % 1.71/1.93 (step @p3597 :rule quant-merge-prenex :args ((= (forall @t1142 @t4736) @t4734))) % 1.71/1.93 (step @p3598 :rule alpha_equiv :args (@t4737 (@list @t2452 @t2451 @t2450) (@list @t1132 @t4739 @t4738))) % 1.71/1.93 (step @p3599 :rule nary_cong :premises (@p3075 @p3598) :args (@t4740)) % 1.71/1.93 (step @p3600 :rule quant-miniscope-or :args ((= @t4736 @t4740))) % 1.71/1.93 (step @p3601 :rule trans :premises (@p3600 @p3599)) % 1.71/1.93 (step @p3602 :rule symm :premises (@p3601)) % 1.71/1.93 (step @p3603 :rule cong :premises (@p3602) :args ((forall @t1142 (or @t2416 @t4748)))) % 1.71/1.93 (step @p3604 :rule trans :premises (@p3603 @p3597)) % 1.71/1.93 (step @p3605 :rule trans :premises (@p3604 @p3596)) % 1.71/1.93 (step @p3606 :rule refl :args (@t4748)) % 1.71/1.93 (step @p3607 :rule nary_cong :premises (@p3101 @p3606) :args (@t4749)) % 1.71/1.93 (step @p3608 :rule cong :premises (@p3607) :args ((forall @t1142 @t4749))) % 1.71/1.93 (step @p3609 :rule trans :premises (@p3608 @p3605)) % 1.71/1.93 (step @p3610 :rule bool-impl-elim :args (@t1140 @t4748)) % 1.71/1.93 (step @p3611 :rule cong :premises (@p3610) :args ((forall @t1142 (=> @t1140 @t4748)))) % 1.71/1.93 (step @p3612 :rule trans :premises (@p3611 @p3609)) % 1.71/1.93 (step @p3613 :rule aci_norm :args ((= @t4751 @t4746))) % 1.71/1.93 (step @p3614 :rule cong :premises (@p3613) :args (@t4752)) % 1.71/1.93 (step @p3615 :rule quant-merge-prenex :args ((= (forall @t1138 @t4754) @t4752))) % 1.71/1.93 (step @p3616 :rule alpha_equiv :args (@t4755 (@list @t4739 @t4738) (@list @t1342 @t4756))) % 1.71/1.93 (step @p3617 :rule nary_cong :premises (@p3272 @p3616) :args (@t4757)) % 1.71/1.93 (step @p3618 :rule quant-miniscope-or :args ((= @t4754 @t4757))) % 1.71/1.93 (step @p3619 :rule trans :premises (@p3618 @p3617)) % 1.71/1.93 (step @p3620 :rule symm :premises (@p3619)) % 1.71/1.93 (step @p3621 :rule cong :premises (@p3620) :args ((forall @t1138 (or @t4605 @t4765)))) % 1.71/1.93 (step @p3622 :rule trans :premises (@p3621 @p3615)) % 1.71/1.93 (step @p3623 :rule trans :premises (@p3622 @p3614)) % 1.71/1.93 (step @p3624 :rule refl :args (@t4765)) % 1.71/1.93 (step @p3625 :rule nary_cong :premises (@p3164 @p3624) :args (@t4766)) % 1.71/1.93 (step @p3626 :rule cong :premises (@p3625) :args ((forall @t1138 @t4766))) % 1.71/1.93 (step @p3627 :rule trans :premises (@p3626 @p3623)) % 1.71/1.93 (step @p3628 :rule bool-impl-elim :args (@t1137 @t4765)) % 1.71/1.93 (step @p3629 :rule cong :premises (@p3628) :args ((forall @t1138 (=> @t1137 @t4765)))) % 1.71/1.93 (step @p3630 :rule trans :premises (@p3629 @p3627)) % 1.71/1.93 (step @p3631 :rule aci_norm :args ((= @t4768 @t4763))) % 1.71/1.93 (step @p3632 :rule cong :premises (@p3631) :args (@t4769)) % 1.71/1.93 (step @p3633 :rule quant-merge-prenex :args ((= (forall @t1350 @t4771) @t4769))) % 1.71/1.93 (step @p3634 :rule alpha_equiv :args (@t4772 (@list @t4756) @t4702)) % 1.71/1.93 (step @p3635 :rule refl :args (@t4762)) % 1.71/1.93 (step @p3636 :rule nary_cong :premises (@p3408 @p3635 @p3634) :args (@t4773)) % 1.71/1.93 (step @p3637 :rule quant-miniscope-or :args ((= @t4771 @t4773))) % 1.71/1.93 (step @p3638 :rule trans :premises (@p3637 @p3636)) % 1.71/1.93 (step @p3639 :rule symm :premises (@p3638)) % 1.71/1.93 (step @p3640 :rule cong :premises (@p3639) :args ((forall @t1350 (or @t4657 @t4762 @t4777)))) % 1.71/1.93 (step @p3641 :rule trans :premises (@p3640 @p3633)) % 1.71/1.93 (step @p3642 :rule trans :premises (@p3641 @p3632)) % 1.71/1.93 (step @p3643 :rule refl :args (@t4777)) % 1.71/1.93 (step @p3644 :rule refl :args (@t4761)) % 1.71/1.93 (step @p3645 :rule refl :args (@t1494)) % 1.71/1.93 (step @p3646 :rule cong :premises (@p3645 @p3644) :args ((= @t1494 @t4761))) % 1.71/1.93 (step @p3647 :rule symm :premises (@p3646)) % 1.71/1.93 (step @p3648 :rule eq_resolve :premises (@p3645 @p3647)) % 1.71/1.93 (step @p3649 :rule cong :premises (@p3648) :args (@t4778)) % 1.71/1.93 (step @p3650 :rule nary_cong :premises (@p3349 @p3649 @p3643) :args (@t4779)) % 1.71/1.93 (step @p3651 :rule cong :premises (@p3650) :args ((forall @t1350 @t4779))) % 1.71/1.93 (step @p3652 :rule trans :premises (@p3651 @p3642)) % 1.71/1.93 (step @p3653 :rule aci_norm :args ((= (or @t4661 @t4780) @t4779))) % 1.71/1.93 (step @p3654 :rule bool-impl-elim :args (@t1348 @t4780)) % 1.71/1.93 (step @p3655 :rule trans :premises (@p3654 @p3653)) % 1.71/1.93 (step @p3656 :rule cong :premises (@p3655) :args ((forall @t1350 (=> @t1348 @t4780)))) % 1.71/1.93 (step @p3657 :rule trans :premises (@p3656 @p3652)) % 1.71/1.93 (step @p3658 :rule refl :args ((tptp.subset @t1133 @t1521))) % 1.71/1.93 (step @p3659 :rule refl :args (@t4774)) % 1.71/1.93 (step @p3660 :rule cong :premises (@p3296 @p3659) :args (@t4775)) % 1.71/1.93 (step @p3661 :rule trans :premises (@p3660 @p3658)) % 1.71/1.93 (step @p3662 :rule refl :args (tptp.subset)) % 1.71/1.93 (step @p3663 :rule ho_cong :premises (@p3662 @p3296)) % 1.71/1.93 (step @p3664 :rule ho_cong :premises (@p3663 @p3659)) % 1.71/1.93 (step @p3665 :rule cong :premises (@p3664 @p3661) :args ((= (_ @t4781 @t4774) @t4775))) % 1.71/1.93 (step @p3666 :rule symm :premises (@p3665)) % 1.71/1.93 (step @p3667 :rule refl :args (@t1522)) % 1.71/1.93 (step @p3668 :rule eq_resolve :premises (@p3667 @p3666)) % 1.71/1.93 (step @p3669 :rule refl :args (@t1521)) % 1.71/1.93 (step @p3670 :rule cong :premises (@p3669 @p3659) :args ((= @t1521 @t4774))) % 1.71/1.93 (step @p3671 :rule symm :premises (@p3670)) % 1.71/1.93 (step @p3672 :rule eq_resolve :premises (@p3669 @p3671)) % 1.71/1.93 (step @p3673 :rule ho_cong :premises (@p3662 @p3333)) % 1.71/1.93 (step @p3674 :rule ho_cong :premises (@p3673 @p3672)) % 1.71/1.93 (step @p3675 :rule trans :premises (@p3674 @p3668)) % 1.71/1.93 (step @p3676 :rule refl :args (@t4776)) % 1.71/1.93 (step @p3677 :rule refl :args (@t1523)) % 1.71/1.93 (step @p3678 :rule cong :premises (@p3677 @p3676) :args ((= @t1523 @t4776))) % 1.71/1.93 (step @p3679 :rule symm :premises (@p3678)) % 1.71/1.93 (step @p3680 :rule eq_resolve :premises (@p3677 @p3679)) % 1.71/1.93 (step @p3681 :rule cong :premises (@p3680) :args (@t4782)) % 1.71/1.93 (step @p3682 :rule nary_cong :premises (@p3509 @p3681 @p3675) :args (@t4783)) % 1.71/1.93 (step @p3683 :rule cong :premises (@p3682) :args (@t4784)) % 1.71/1.93 (step @p3684 :rule refl :args (@t4778)) % 1.71/1.93 (step @p3685 :rule nary_cong :premises (@p3684 @p3683) :args (@t4785)) % 1.71/1.93 (step @p3686 :rule quant-miniscope-or :args ((= (forall @t1528 @t4786) @t4785))) % 1.71/1.93 (step @p3687 :rule aci_norm :args ((= @t4787 @t4786))) % 1.71/1.93 (step @p3688 :rule cong :premises (@p3687) :args ((forall @t1528 @t4787))) % 1.71/1.93 (step @p3689 :rule trans :premises (@p3688 @p3686)) % 1.71/1.93 (step @p3690 :rule trans :premises (@p3689 @p3685)) % 1.71/1.93 (step @p3691 :rule aci_norm :args ((= (or @t4714 @t4788) @t4787))) % 1.71/1.93 (step @p3692 :rule aci_norm :args ((= (or @t4778 (or @t4782 @t1522)) @t4788))) % 1.71/1.93 (step @p3693 :rule bool-impl-elim :args (@t1523 @t1522)) % 1.71/1.93 (step @p3694 :rule refl :args (@t4778)) % 1.71/1.93 (step @p3695 :rule nary_cong :premises (@p3694 @p3693) :args ((or @t4778 @t1524))) % 1.71/1.93 (step @p3696 :rule trans :premises (@p3695 @p3692)) % 1.71/1.93 (step @p3697 :rule bool-impl-elim :args (@t1494 @t1524)) % 1.71/1.93 (step @p3698 :rule trans :premises (@p3697 @p3696)) % 1.71/1.93 (step @p3699 :rule refl :args (@t4714)) % 1.71/1.93 (step @p3700 :rule nary_cong :premises (@p3699 @p3698) :args ((or @t4714 @t1525))) % 1.71/1.93 (step @p3701 :rule trans :premises (@p3700 @p3691)) % 1.71/1.93 (step @p3702 :rule bool-impl-elim :args (@t1527 @t1525)) % 1.71/1.93 (step @p3703 :rule trans :premises (@p3702 @p3701)) % 1.71/1.93 (step @p3704 :rule cong :premises (@p3703) :args (@t1529)) % 1.71/1.93 (step @p3705 :rule trans :premises (@p3704 @p3690)) % 1.71/1.93 (step @p3706 :rule cong :premises (@p3515 @p3705) :args (@t1530)) % 1.71/1.93 (step @p3707 :rule cong :premises (@p3706) :args (@t1531)) % 1.71/1.93 (step @p3708 :rule trans :premises (@p3707 @p3657)) % 1.71/1.93 (step @p3709 :rule cong :premises (@p3355 @p3708) :args (@t1532)) % 1.71/1.93 (step @p3710 :rule cong :premises (@p3709) :args (@t1533)) % 1.71/1.93 (step @p3711 :rule trans :premises (@p3710 @p3630)) % 1.71/1.93 (step @p3712 :rule cong :premises (@p3170 @p3711) :args (@t1534)) % 1.71/1.93 (step @p3713 :rule cong :premises (@p3712) :args (@t1535)) % 1.71/1.93 (step @p3714 :rule trans :premises (@p3713 @p3612)) % 1.71/1.93 (step @p3715 :rule refl :args (tptp.woz13rule4)) % 1.71/1.93 (step @p3716 :rule cong :premises (@p3715 @p3714) :args (@t1536)) % 1.71/1.93 (step @p3717 :rule eq_resolve :premises (@p279 @p3716)) % 1.71/1.93 (step @p3718 :rule cong :premises (@p3717 @p3594) :args (@t4789)) % 1.71/1.93 (step @p3719 :rule aci_norm :args ((= @t4791 @t2468))) % 1.71/1.93 (step @p3720 :rule cong :premises (@p3719) :args (@t4792)) % 1.71/1.93 (step @p3721 :rule quant-merge-prenex :args ((= (forall @t1142 @t4794) @t4792))) % 1.71/1.93 (step @p3722 :rule alpha_equiv :args (@t4795 (@list @t2462 @t2461) (@list @t1132 @t4796))) % 1.71/1.93 (step @p3723 :rule nary_cong :premises (@p3075 @p3722) :args (@t4797)) % 1.71/1.93 (step @p3724 :rule quant-miniscope-or :args ((= @t4794 @t4797))) % 1.71/1.93 (step @p3725 :rule trans :premises (@p3724 @p3723)) % 1.71/1.93 (step @p3726 :rule symm :premises (@p3725)) % 1.71/1.93 (step @p3727 :rule cong :premises (@p3726) :args ((forall @t1142 (or @t2416 @t4805)))) % 1.71/1.93 (step @p3728 :rule trans :premises (@p3727 @p3721)) % 1.71/1.93 (step @p3729 :rule trans :premises (@p3728 @p3720)) % 1.71/1.93 (step @p3730 :rule refl :args (@t4805)) % 1.71/1.93 (step @p3731 :rule nary_cong :premises (@p3101 @p3730) :args (@t4806)) % 1.71/1.93 (step @p3732 :rule cong :premises (@p3731) :args ((forall @t1142 @t4806))) % 1.71/1.93 (step @p3733 :rule trans :premises (@p3732 @p3729)) % 1.71/1.93 (step @p3734 :rule bool-impl-elim :args (@t1140 @t4805)) % 1.71/1.93 (step @p3735 :rule cong :premises (@p3734) :args ((forall @t1142 (=> @t1140 @t4805)))) % 1.71/1.93 (step @p3736 :rule trans :premises (@p3735 @p3733)) % 1.71/1.93 (step @p3737 :rule aci_norm :args ((= @t4808 @t4803))) % 1.71/1.93 (step @p3738 :rule cong :premises (@p3737) :args (@t4809)) % 1.71/1.93 (step @p3739 :rule quant-merge-prenex :args ((= (forall @t1138 @t4811) @t4809))) % 1.71/1.93 (step @p3740 :rule alpha_equiv :args (@t4812 (@list @t4796) @t4649)) % 1.71/1.93 (step @p3741 :rule refl :args (@t4802)) % 1.71/1.93 (step @p3742 :rule nary_cong :premises (@p3272 @p3741 @p3740) :args (@t4813)) % 1.71/1.93 (step @p3743 :rule quant-miniscope-or :args ((= @t4811 @t4813))) % 1.71/1.93 (step @p3744 :rule trans :premises (@p3743 @p3742)) % 1.71/1.93 (step @p3745 :rule symm :premises (@p3744)) % 1.71/1.93 (step @p3746 :rule cong :premises (@p3745) :args ((forall @t1138 (or @t4605 @t4802 @t4816)))) % 1.71/1.93 (step @p3747 :rule trans :premises (@p3746 @p3739)) % 1.71/1.93 (step @p3748 :rule trans :premises (@p3747 @p3738)) % 1.71/1.93 (step @p3749 :rule refl :args (@t4816)) % 1.71/1.93 (step @p3750 :rule refl :args (@t4801)) % 1.71/1.93 (step @p3751 :rule refl :args (@t1182)) % 1.71/1.93 (step @p3752 :rule cong :premises (@p3751 @p3750) :args ((= @t1182 @t4801))) % 1.71/1.93 (step @p3753 :rule symm :premises (@p3752)) % 1.71/1.93 (step @p3754 :rule eq_resolve :premises (@p3751 @p3753)) % 1.71/1.93 (step @p3755 :rule cong :premises (@p3754) :args (@t4817)) % 1.71/1.93 (step @p3756 :rule nary_cong :premises (@p3164 @p3755 @p3749) :args (@t4818)) % 1.71/1.93 (step @p3757 :rule cong :premises (@p3756) :args ((forall @t1138 @t4818))) % 1.71/1.93 (step @p3758 :rule trans :premises (@p3757 @p3748)) % 1.71/1.93 (step @p3759 :rule aci_norm :args ((= (or @t4609 @t4819) @t4818))) % 1.71/1.93 (step @p3760 :rule bool-impl-elim :args (@t1137 @t4819)) % 1.71/1.93 (step @p3761 :rule trans :premises (@p3760 @p3759)) % 1.71/1.93 (step @p3762 :rule cong :premises (@p3761) :args ((forall @t1138 (=> @t1137 @t4819)))) % 1.71/1.93 (step @p3763 :rule trans :premises (@p3762 @p3758)) % 1.71/1.93 (step @p3764 :rule refl :args ((tptp.subset @t695 @t1510))) % 1.71/1.93 (step @p3765 :rule refl :args (@t4814)) % 1.71/1.93 (step @p3766 :rule cong :premises (@p3086 @p3765) :args (@t4815)) % 1.71/1.93 (step @p3767 :rule trans :premises (@p3766 @p3764)) % 1.71/1.93 (step @p3768 :rule ho_cong :premises (@p3215 @p3765)) % 1.71/1.93 (step @p3769 :rule cong :premises (@p3768 @p3767) :args ((= (_ @t1181 @t4814) @t4815))) % 1.71/1.93 (step @p3770 :rule symm :premises (@p3769)) % 1.71/1.93 (step @p3771 :rule refl :args (@t1511)) % 1.71/1.93 (step @p3772 :rule eq_resolve :premises (@p3771 @p3770)) % 1.71/1.93 (step @p3773 :rule refl :args (@t1510)) % 1.71/1.93 (step @p3774 :rule cong :premises (@p3773 @p3765) :args ((= @t1510 @t4814))) % 1.71/1.93 (step @p3775 :rule symm :premises (@p3774)) % 1.71/1.93 (step @p3776 :rule eq_resolve :premises (@p3773 @p3775)) % 1.71/1.93 (step @p3777 :rule ho_cong :premises (@p3215 @p3776)) % 1.71/1.93 (step @p3778 :rule trans :premises (@p3777 @p3772)) % 1.71/1.93 (step @p3779 :rule nary_cong :premises (@p3349 @p3649 @p3778) :args (@t4820)) % 1.71/1.93 (step @p3780 :rule cong :premises (@p3779) :args (@t4821)) % 1.71/1.93 (step @p3781 :rule refl :args (@t4817)) % 1.71/1.93 (step @p3782 :rule nary_cong :premises (@p3781 @p3780) :args (@t4822)) % 1.71/1.93 (step @p3783 :rule quant-miniscope-or :args ((= (forall @t1350 @t4823) @t4822))) % 1.71/1.93 (step @p3784 :rule aci_norm :args ((= @t4824 @t4823))) % 1.71/1.93 (step @p3785 :rule cong :premises (@p3784) :args ((forall @t1350 @t4824))) % 1.71/1.93 (step @p3786 :rule trans :premises (@p3785 @p3783)) % 1.71/1.93 (step @p3787 :rule trans :premises (@p3786 @p3782)) % 1.71/1.93 (step @p3788 :rule aci_norm :args ((= (or @t4661 @t4825) @t4824))) % 1.71/1.93 (step @p3789 :rule aci_norm :args ((= (or @t4817 (or @t4778 @t1511)) @t4825))) % 1.71/1.93 (step @p3790 :rule bool-impl-elim :args (@t1494 @t1511)) % 1.71/1.93 (step @p3791 :rule refl :args (@t4817)) % 1.71/1.93 (step @p3792 :rule nary_cong :premises (@p3791 @p3790) :args ((or @t4817 @t1512))) % 1.71/1.93 (step @p3793 :rule trans :premises (@p3792 @p3789)) % 1.71/1.93 (step @p3794 :rule bool-impl-elim :args (@t1182 @t1512)) % 1.71/1.93 (step @p3795 :rule trans :premises (@p3794 @p3793)) % 1.71/1.93 (step @p3796 :rule refl :args (@t4661)) % 1.71/1.93 (step @p3797 :rule nary_cong :premises (@p3796 @p3795) :args ((or @t4661 @t1513))) % 1.71/1.93 (step @p3798 :rule trans :premises (@p3797 @p3788)) % 1.71/1.93 (step @p3799 :rule bool-impl-elim :args (@t1348 @t1513)) % 1.71/1.93 (step @p3800 :rule trans :premises (@p3799 @p3798)) % 1.71/1.93 (step @p3801 :rule cong :premises (@p3800) :args (@t1514)) % 1.71/1.93 (step @p3802 :rule trans :premises (@p3801 @p3787)) % 1.71/1.93 (step @p3803 :rule cong :premises (@p3355 @p3802) :args (@t1515)) % 1.71/1.93 (step @p3804 :rule cong :premises (@p3803) :args (@t1516)) % 1.71/1.93 (step @p3805 :rule trans :premises (@p3804 @p3763)) % 1.71/1.93 (step @p3806 :rule cong :premises (@p3170 @p3805) :args (@t1517)) % 1.71/1.93 (step @p3807 :rule cong :premises (@p3806) :args (@t1518)) % 1.71/1.93 (step @p3808 :rule trans :premises (@p3807 @p3736)) % 1.71/1.93 (step @p3809 :rule refl :args (tptp.woz13rule3)) % 1.71/1.93 (step @p3810 :rule cong :premises (@p3809 @p3808) :args (@t1519)) % 1.71/1.93 (step @p3811 :rule eq_resolve :premises (@p278 @p3810)) % 1.71/1.93 (step @p3812 :rule cong :premises (@p3811 @p3718) :args (@t4826)) % 1.71/1.93 (step @p3813 :rule aci_norm :args ((= @t4828 @t2476))) % 1.71/1.93 (step @p3814 :rule cong :premises (@p3813) :args (@t4829)) % 1.71/1.93 (step @p3815 :rule quant-merge-prenex :args ((= (forall @t1142 @t4831) @t4829))) % 1.71/1.93 (step @p3816 :rule alpha_equiv :args (@t4832 (@list @t2471 @t2470) (@list @t1132 @t4833))) % 1.71/1.93 (step @p3817 :rule nary_cong :premises (@p3075 @p3816) :args (@t4834)) % 1.71/1.93 (step @p3818 :rule quant-miniscope-or :args ((= @t4831 @t4834))) % 1.71/1.93 (step @p3819 :rule trans :premises (@p3818 @p3817)) % 1.71/1.93 (step @p3820 :rule symm :premises (@p3819)) % 1.71/1.93 (step @p3821 :rule cong :premises (@p3820) :args ((forall @t1142 (or @t2416 @t4840)))) % 1.71/1.93 (step @p3822 :rule trans :premises (@p3821 @p3815)) % 1.71/1.93 (step @p3823 :rule trans :premises (@p3822 @p3814)) % 1.71/1.93 (step @p3824 :rule refl :args (@t4840)) % 1.71/1.93 (step @p3825 :rule nary_cong :premises (@p3101 @p3824) :args (@t4841)) % 1.71/1.93 (step @p3826 :rule cong :premises (@p3825) :args ((forall @t1142 @t4841))) % 1.71/1.93 (step @p3827 :rule trans :premises (@p3826 @p3823)) % 1.71/1.93 (step @p3828 :rule bool-impl-elim :args (@t1140 @t4840)) % 1.71/1.93 (step @p3829 :rule cong :premises (@p3828) :args ((forall @t1142 (=> @t1140 @t4840)))) % 1.71/1.93 (step @p3830 :rule trans :premises (@p3829 @p3827)) % 1.71/1.93 (step @p3831 :rule aci_norm :args ((= @t4843 @t4838))) % 1.71/1.93 (step @p3832 :rule cong :premises (@p3831) :args (@t4844)) % 1.71/1.93 (step @p3833 :rule quant-merge-prenex :args ((= (forall @t1138 @t4846) @t4844))) % 1.71/1.93 (step @p3834 :rule alpha_equiv :args (@t4847 (@list @t4833) @t4649)) % 1.71/1.93 (step @p3835 :rule nary_cong :premises (@p3272 @p3834) :args (@t4848)) % 1.71/1.93 (step @p3836 :rule quant-miniscope-or :args ((= @t4846 @t4848))) % 1.71/1.93 (step @p3837 :rule trans :premises (@p3836 @p3835)) % 1.71/1.93 (step @p3838 :rule symm :premises (@p3837)) % 1.71/1.93 (step @p3839 :rule cong :premises (@p3838) :args ((forall @t1138 (or @t4605 @t4851)))) % 1.71/1.93 (step @p3840 :rule trans :premises (@p3839 @p3833)) % 1.71/1.93 (step @p3841 :rule trans :premises (@p3840 @p3832)) % 1.71/1.93 (step @p3842 :rule refl :args (@t4851)) % 1.71/1.93 (step @p3843 :rule nary_cong :premises (@p3164 @p3842) :args (@t4852)) % 1.71/1.93 (step @p3844 :rule cong :premises (@p3843) :args ((forall @t1138 @t4852))) % 1.71/1.93 (step @p3845 :rule trans :premises (@p3844 @p3841)) % 1.71/1.93 (step @p3846 :rule bool-impl-elim :args (@t1137 @t4851)) % 1.71/1.93 (step @p3847 :rule cong :premises (@p3846) :args ((forall @t1138 (=> @t1137 @t4851)))) % 1.71/1.93 (step @p3848 :rule trans :premises (@p3847 @p3845)) % 1.71/1.93 (step @p3849 :rule refl :args ((tptp.subset @t1133 @t1342))) % 1.71/1.93 (step @p3850 :rule cong :premises (@p3296 @p3338) :args (@t4849)) % 1.71/1.93 (step @p3851 :rule trans :premises (@p3850 @p3849)) % 1.71/1.93 (step @p3852 :rule ho_cong :premises (@p3663 @p3338)) % 1.71/1.93 (step @p3853 :rule cong :premises (@p3852 @p3851) :args ((= (_ @t4781 @t1342) @t4849))) % 1.71/1.93 (step @p3854 :rule symm :premises (@p3853)) % 1.71/1.93 (step @p3855 :rule refl :args (@t1493)) % 1.71/1.93 (step @p3856 :rule eq_resolve :premises (@p3855 @p3854)) % 1.71/1.93 (step @p3857 :rule ho_cong :premises (@p3673 @p3338)) % 1.71/1.93 (step @p3858 :rule trans :premises (@p3857 @p3856)) % 1.71/1.93 (step @p3859 :rule refl :args (@t4850)) % 1.71/1.93 (step @p3860 :rule refl :args (@t1502)) % 1.71/1.93 (step @p3861 :rule cong :premises (@p3860 @p3859) :args ((= @t1502 @t4850))) % 1.71/1.93 (step @p3862 :rule symm :premises (@p3861)) % 1.71/1.93 (step @p3863 :rule eq_resolve :premises (@p3860 @p3862)) % 1.71/1.93 (step @p3864 :rule cong :premises (@p3863) :args (@t4853)) % 1.71/1.93 (step @p3865 :rule nary_cong :premises (@p3349 @p3864 @p3858) :args (@t4854)) % 1.71/1.93 (step @p3866 :rule cong :premises (@p3865) :args ((forall @t1350 @t4854))) % 1.71/1.93 (step @p3867 :rule aci_norm :args ((= (or @t4661 (or @t4853 @t1493)) @t4854))) % 1.71/1.93 (step @p3868 :rule bool-impl-elim :args (@t1502 @t1493)) % 1.71/1.93 (step @p3869 :rule nary_cong :premises (@p3796 @p3868) :args ((or @t4661 @t1503))) % 1.71/1.93 (step @p3870 :rule trans :premises (@p3869 @p3867)) % 1.71/1.93 (step @p3871 :rule bool-impl-elim :args (@t1348 @t1503)) % 1.71/1.93 (step @p3872 :rule trans :premises (@p3871 @p3870)) % 1.71/1.93 (step @p3873 :rule cong :premises (@p3872) :args (@t1504)) % 1.71/1.93 (step @p3874 :rule trans :premises (@p3873 @p3866)) % 1.71/1.93 (step @p3875 :rule cong :premises (@p3355 @p3874) :args (@t1505)) % 1.71/1.93 (step @p3876 :rule cong :premises (@p3875) :args (@t1506)) % 1.71/1.93 (step @p3877 :rule trans :premises (@p3876 @p3848)) % 1.71/1.93 (step @p3878 :rule cong :premises (@p3170 @p3877) :args (@t1507)) % 1.71/1.93 (step @p3879 :rule cong :premises (@p3878) :args (@t1508)) % 1.71/1.93 (step @p3880 :rule trans :premises (@p3879 @p3830)) % 1.71/1.93 (step @p3881 :rule refl :args (tptp.woz13rule2)) % 1.71/1.93 (step @p3882 :rule cong :premises (@p3881 @p3880) :args (@t1509)) % 1.71/1.93 (step @p3883 :rule eq_resolve :premises (@p277 @p3882)) % 1.71/1.93 (step @p3884 :rule cong :premises (@p3883 @p3812) :args (@t4855)) % 1.71/1.93 (step @p3885 :rule aci_norm :args ((= @t4857 @t2484))) % 1.71/1.93 (step @p3886 :rule cong :premises (@p3885) :args (@t4858)) % 1.71/1.93 (step @p3887 :rule quant-merge-prenex :args ((= (forall @t1142 @t4860) @t4858))) % 1.71/1.93 (step @p3888 :rule alpha_equiv :args (@t4861 (@list @t2479 @t2478) (@list @t1132 @t4862))) % 1.71/1.93 (step @p3889 :rule nary_cong :premises (@p3075 @p3888) :args (@t4863)) % 1.71/1.93 (step @p3890 :rule quant-miniscope-or :args ((= @t4860 @t4863))) % 1.71/1.93 (step @p3891 :rule trans :premises (@p3890 @p3889)) % 1.71/1.93 (step @p3892 :rule symm :premises (@p3891)) % 1.71/1.93 (step @p3893 :rule cong :premises (@p3892) :args ((forall @t1142 (or @t2416 @t4869)))) % 1.71/1.93 (step @p3894 :rule trans :premises (@p3893 @p3887)) % 1.71/1.93 (step @p3895 :rule trans :premises (@p3894 @p3886)) % 1.71/1.93 (step @p3896 :rule refl :args (@t4869)) % 1.71/1.93 (step @p3897 :rule nary_cong :premises (@p3101 @p3896) :args (@t4870)) % 1.71/1.93 (step @p3898 :rule cong :premises (@p3897) :args ((forall @t1142 @t4870))) % 1.71/1.93 (step @p3899 :rule trans :premises (@p3898 @p3895)) % 1.71/1.93 (step @p3900 :rule bool-impl-elim :args (@t1140 @t4869)) % 1.71/1.93 (step @p3901 :rule cong :premises (@p3900) :args ((forall @t1142 (=> @t1140 @t4869)))) % 1.71/1.93 (step @p3902 :rule trans :premises (@p3901 @p3899)) % 1.71/1.93 (step @p3903 :rule aci_norm :args ((= @t4872 @t4867))) % 1.71/1.93 (step @p3904 :rule cong :premises (@p3903) :args (@t4873)) % 1.71/1.93 (step @p3905 :rule quant-merge-prenex :args ((= (forall @t1138 @t4875) @t4873))) % 1.71/1.93 (step @p3906 :rule alpha_equiv :args (@t4876 (@list @t4862) @t4649)) % 1.71/1.93 (step @p3907 :rule nary_cong :premises (@p3272 @p3906) :args (@t4877)) % 1.71/1.93 (step @p3908 :rule quant-miniscope-or :args ((= @t4875 @t4877))) % 1.71/1.93 (step @p3909 :rule trans :premises (@p3908 @p3907)) % 1.71/1.93 (step @p3910 :rule symm :premises (@p3909)) % 1.71/1.93 (step @p3911 :rule cong :premises (@p3910) :args ((forall @t1138 (or @t4605 @t4878)))) % 1.71/1.93 (step @p3912 :rule trans :premises (@p3911 @p3905)) % 1.71/1.93 (step @p3913 :rule trans :premises (@p3912 @p3904)) % 1.71/1.93 (step @p3914 :rule refl :args (@t4878)) % 1.71/1.93 (step @p3915 :rule nary_cong :premises (@p3164 @p3914) :args (@t4879)) % 1.71/1.93 (step @p3916 :rule cong :premises (@p3915) :args ((forall @t1138 @t4879))) % 1.71/1.93 (step @p3917 :rule trans :premises (@p3916 @p3913)) % 1.71/1.93 (step @p3918 :rule bool-impl-elim :args (@t1137 @t4878)) % 1.71/1.93 (step @p3919 :rule cong :premises (@p3918) :args ((forall @t1138 (=> @t1137 @t4878)))) % 1.71/1.93 (step @p3920 :rule trans :premises (@p3919 @p3917)) % 1.71/1.93 (step @p3921 :rule nary_cong :premises (@p3349 @p3649 @p3858) :args (@t4880)) % 1.71/1.93 (step @p3922 :rule cong :premises (@p3921) :args ((forall @t1350 @t4880))) % 1.71/1.93 (step @p3923 :rule aci_norm :args ((= (or @t4661 (or @t4778 @t1493)) @t4880))) % 1.71/1.93 (step @p3924 :rule bool-impl-elim :args (@t1494 @t1493)) % 1.71/1.93 (step @p3925 :rule nary_cong :premises (@p3796 @p3924) :args ((or @t4661 @t1495))) % 1.71/1.93 (step @p3926 :rule trans :premises (@p3925 @p3923)) % 1.71/1.93 (step @p3927 :rule bool-impl-elim :args (@t1348 @t1495)) % 1.71/1.93 (step @p3928 :rule trans :premises (@p3927 @p3926)) % 1.71/1.93 (step @p3929 :rule cong :premises (@p3928) :args (@t1496)) % 1.71/1.93 (step @p3930 :rule trans :premises (@p3929 @p3922)) % 1.71/1.93 (step @p3931 :rule cong :premises (@p3355 @p3930) :args (@t1497)) % 1.71/1.93 (step @p3932 :rule cong :premises (@p3931) :args (@t1498)) % 1.71/1.93 (step @p3933 :rule trans :premises (@p3932 @p3920)) % 1.71/1.93 (step @p3934 :rule cong :premises (@p3170 @p3933) :args (@t1499)) % 1.71/1.93 (step @p3935 :rule cong :premises (@p3934) :args (@t1500)) % 1.71/1.93 (step @p3936 :rule trans :premises (@p3935 @p3902)) % 1.71/1.93 (step @p3937 :rule refl :args (tptp.woz13rule1)) % 1.71/1.93 (step @p3938 :rule cong :premises (@p3937 @p3936) :args (@t1501)) % 1.71/1.93 (step @p3939 :rule eq_resolve :premises (@p276 @p3938)) % 1.71/1.93 (step @p3940 :rule cong :premises (@p3939 @p3884) :args (@t4881)) % 1.71/1.93 (step @p3941 :rule aci_norm :args ((= @t4883 @t2491))) % 1.71/1.93 (step @p3942 :rule cong :premises (@p3941) :args (@t4884)) % 1.71/1.93 (step @p3943 :rule quant-merge-prenex :args ((= (forall @t1142 @t4886) @t4884))) % 1.71/1.93 (step @p3944 :rule alpha_equiv :args (@t4887 (@list @t2488 @t2486) (@list @t1132 @t4888))) % 1.71/1.93 (step @p3945 :rule nary_cong :premises (@p3075 @p3944) :args (@t4889)) % 1.71/1.93 (step @p3946 :rule quant-miniscope-or :args ((= @t4886 @t4889))) % 1.71/1.93 (step @p3947 :rule trans :premises (@p3946 @p3945)) % 1.71/1.93 (step @p3948 :rule symm :premises (@p3947)) % 1.71/1.93 (step @p3949 :rule cong :premises (@p3948) :args ((forall @t1142 (or @t2416 @t4894)))) % 1.71/1.93 (step @p3950 :rule trans :premises (@p3949 @p3943)) % 1.71/1.93 (step @p3951 :rule trans :premises (@p3950 @p3942)) % 1.71/1.93 (step @p3952 :rule refl :args (@t4894)) % 1.71/1.93 (step @p3953 :rule nary_cong :premises (@p3101 @p3952) :args (@t4895)) % 1.71/1.93 (step @p3954 :rule cong :premises (@p3953) :args ((forall @t1142 @t4895))) % 1.71/1.93 (step @p3955 :rule trans :premises (@p3954 @p3951)) % 1.71/1.93 (step @p3956 :rule bool-impl-elim :args (@t1140 @t4894)) % 1.71/1.93 (step @p3957 :rule cong :premises (@p3956) :args ((forall @t1142 (=> @t1140 @t4894)))) % 1.71/1.93 (step @p3958 :rule trans :premises (@p3957 @p3955)) % 1.71/1.93 (step @p3959 :rule aci_norm :args ((= @t4897 @t4892))) % 1.71/1.93 (step @p3960 :rule cong :premises (@p3959) :args (@t4898)) % 1.71/1.93 (step @p3961 :rule quant-merge-prenex :args ((= (forall @t1138 @t4900) @t4898))) % 1.71/1.93 (step @p3962 :rule alpha_equiv :args (@t4901 (@list @t4888) @t3867)) % 1.71/1.93 (step @p3963 :rule nary_cong :premises (@p3272 @p3962) :args (@t4902)) % 1.71/1.93 (step @p3964 :rule quant-miniscope-or :args ((= @t4900 @t4902))) % 1.71/1.93 (step @p3965 :rule trans :premises (@p3964 @p3963)) % 1.71/1.93 (step @p3966 :rule symm :premises (@p3965)) % 1.71/1.93 (step @p3967 :rule cong :premises (@p3966) :args ((forall @t1138 (or @t4605 @t4905)))) % 1.71/1.93 (step @p3968 :rule trans :premises (@p3967 @p3961)) % 1.71/1.93 (step @p3969 :rule trans :premises (@p3968 @p3960)) % 1.71/1.93 (step @p3970 :rule refl :args (@t4905)) % 1.71/1.93 (step @p3971 :rule nary_cong :premises (@p3164 @p3970) :args (@t4906)) % 1.71/1.93 (step @p3972 :rule cong :premises (@p3971) :args ((forall @t1138 @t4906))) % 1.71/1.93 (step @p3973 :rule trans :premises (@p3972 @p3969)) % 1.71/1.93 (step @p3974 :rule bool-impl-elim :args (@t1137 @t4905)) % 1.71/1.93 (step @p3975 :rule cong :premises (@p3974) :args ((forall @t1138 (=> @t1137 @t4905)))) % 1.71/1.93 (step @p3976 :rule trans :premises (@p3975 @p3973)) % 1.71/1.93 (step @p3977 :rule refl :args ((tptp.in @t4 @t1133))) % 1.71/1.93 (step @p3978 :rule cong :premises (@p976 @p3296) :args (@t4903)) % 1.71/1.93 (step @p3979 :rule trans :premises (@p3978 @p3977)) % 1.71/1.93 (step @p3980 :rule ho_cong :premises (@p979 @p3296)) % 1.71/1.93 (step @p3981 :rule cong :premises (@p3980 @p3979) :args ((= (_ @t5 @t4636) @t4903))) % 1.71/1.93 (step @p3982 :rule symm :premises (@p3981)) % 1.71/1.93 (step @p3983 :rule refl :args (@t1216)) % 1.71/1.93 (step @p3984 :rule eq_resolve :premises (@p3983 @p3982)) % 1.71/1.93 (step @p3985 :rule ho_cong :premises (@p979 @p3333)) % 1.71/1.93 (step @p3986 :rule trans :premises (@p3985 @p3984)) % 1.71/1.93 (step @p3987 :rule cong :premises (@p3986) :args (@t1217)) % 1.71/1.93 (step @p3988 :rule nary_cong :premises (@p3987 @p1614) :args (@t4907)) % 1.71/1.93 (step @p3989 :rule cong :premises (@p3988) :args ((forall @t9 @t4907))) % 1.71/1.93 (step @p3990 :rule bool-impl-elim :args (@t1216 @t7)) % 1.71/1.93 (step @p3991 :rule cong :premises (@p3990) :args (@t1486)) % 1.71/1.93 (step @p3992 :rule trans :premises (@p3991 @p3989)) % 1.71/1.93 (step @p3993 :rule cong :premises (@p3355 @p3992) :args (@t1487)) % 1.71/1.93 (step @p3994 :rule cong :premises (@p3993) :args (@t1488)) % 1.71/1.93 (step @p3995 :rule trans :premises (@p3994 @p3976)) % 1.71/1.93 (step @p3996 :rule cong :premises (@p3170 @p3995) :args (@t1489)) % 1.71/1.93 (step @p3997 :rule cong :premises (@p3996) :args (@t1490)) % 1.71/1.93 (step @p3998 :rule trans :premises (@p3997 @p3958)) % 1.71/1.93 (step @p3999 :rule refl :args (tptp.woz13rule0)) % 1.71/1.93 (step @p4000 :rule cong :premises (@p3999 @p3998) :args (@t1491)) % 1.71/1.93 (step @p4001 :rule eq_resolve :premises (@p275 @p4000)) % 1.71/1.93 (step @p4002 :rule cong :premises (@p4001 @p3940) :args (@t4908)) % 1.71/1.93 (step @p4003 :rule aci_norm :args ((= @t4910 @t2496))) % 1.71/1.93 (step @p4004 :rule cong :premises (@p4003) :args (@t4911)) % 1.71/1.93 (step @p4005 :rule quant-merge-prenex :args ((= (forall @t1142 @t4913) @t4911))) % 1.71/1.93 (step @p4006 :rule alpha_equiv :args (@t4914 (@list @t2493) @t4599)) % 1.71/1.93 (step @p4007 :rule nary_cong :premises (@p3075 @p4006) :args (@t4915)) % 1.71/1.93 (step @p4008 :rule quant-miniscope-or :args ((= @t4913 @t4915))) % 1.71/1.93 (step @p4009 :rule trans :premises (@p4008 @p4007)) % 1.71/1.93 (step @p4010 :rule symm :premises (@p4009)) % 1.71/1.93 (step @p4011 :rule cong :premises (@p4010) :args ((forall @t1142 (or @t2416 @t4916)))) % 1.71/1.93 (step @p4012 :rule trans :premises (@p4011 @p4005)) % 1.71/1.93 (step @p4013 :rule trans :premises (@p4012 @p4004)) % 1.71/1.93 (step @p4014 :rule refl :args (@t4916)) % 1.71/1.93 (step @p4015 :rule nary_cong :premises (@p3101 @p4014) :args (@t4917)) % 1.71/1.93 (step @p4016 :rule cong :premises (@p4015) :args ((forall @t1142 @t4917))) % 1.71/1.93 (step @p4017 :rule trans :premises (@p4016 @p4013)) % 1.71/1.93 (step @p4018 :rule bool-impl-elim :args (@t1140 @t4916)) % 1.71/1.93 (step @p4019 :rule cong :premises (@p4018) :args ((forall @t1142 (=> @t1140 @t4916)))) % 1.71/1.93 (step @p4020 :rule trans :premises (@p4019 @p4017)) % 1.71/1.93 (step @p4021 :rule cong :premises (@p3148 @p3465) :args (@t1481)) % 1.71/1.93 (step @p4022 :rule nary_cong :premises (@p3164 @p4021) :args (@t4918)) % 1.71/1.93 (step @p4023 :rule cong :premises (@p4022) :args ((forall @t1138 @t4918))) % 1.71/1.93 (step @p4024 :rule bool-impl-elim :args (@t1137 @t1481)) % 1.71/1.93 (step @p4025 :rule cong :premises (@p4024) :args (@t1482)) % 1.71/1.93 (step @p4026 :rule trans :premises (@p4025 @p4023)) % 1.71/1.93 (step @p4027 :rule cong :premises (@p3170 @p4026) :args (@t1483)) % 1.71/1.93 (step @p4028 :rule cong :premises (@p4027) :args (@t1484)) % 1.71/1.93 (step @p4029 :rule trans :premises (@p4028 @p4020)) % 1.71/1.93 (step @p4030 :rule refl :args (tptp.demorgan2)) % 1.71/1.93 (step @p4031 :rule cong :premises (@p4030 @p4029) :args (@t1485)) % 1.71/1.93 (step @p4032 :rule eq_resolve :premises (@p274 @p4031)) % 1.71/1.93 (step @p4033 :rule cong :premises (@p4032 @p4002) :args (@t4919)) % 1.71/1.93 (step @p4034 :rule aci_norm :args ((= @t4921 @t2504))) % 1.71/1.93 (step @p4035 :rule cong :premises (@p4034) :args (@t4922)) % 1.71/1.93 (step @p4036 :rule quant-merge-prenex :args ((= (forall @t1142 @t4924) @t4922))) % 1.71/1.93 (step @p4037 :rule alpha_equiv :args (@t4925 (@list @t2498 @t2499) (@list @t1132 @t4926))) % 1.71/1.93 (step @p4038 :rule nary_cong :premises (@p3075 @p4037) :args (@t4927)) % 1.71/1.93 (step @p4039 :rule quant-miniscope-or :args ((= @t4924 @t4927))) % 1.71/1.93 (step @p4040 :rule trans :premises (@p4039 @p4038)) % 1.71/1.93 (step @p4041 :rule symm :premises (@p4040)) % 1.71/1.93 (step @p4042 :rule cong :premises (@p4041) :args ((forall @t1142 (or @t2416 @t4933)))) % 1.71/1.93 (step @p4043 :rule trans :premises (@p4042 @p4036)) % 1.71/1.93 (step @p4044 :rule trans :premises (@p4043 @p4035)) % 1.71/1.93 (step @p4045 :rule refl :args (@t4933)) % 1.71/1.93 (step @p4046 :rule nary_cong :premises (@p3101 @p4045) :args (@t4934)) % 1.71/1.93 (step @p4047 :rule cong :premises (@p4046) :args ((forall @t1142 @t4934))) % 1.71/1.93 (step @p4048 :rule trans :premises (@p4047 @p4044)) % 1.71/1.93 (step @p4049 :rule bool-impl-elim :args (@t1140 @t4933)) % 1.71/1.93 (step @p4050 :rule cong :premises (@p4049) :args ((forall @t1142 (=> @t1140 @t4933)))) % 1.71/1.93 (step @p4051 :rule trans :premises (@p4050 @p4048)) % 1.71/1.93 (step @p4052 :rule aci_norm :args ((= @t4936 @t4931))) % 1.71/1.93 (step @p4053 :rule cong :premises (@p4052) :args (@t4937)) % 1.71/1.93 (step @p4054 :rule quant-merge-prenex :args ((= (forall @t1138 @t4939) @t4937))) % 1.71/1.93 (step @p4055 :rule alpha_equiv :args (@t4940 (@list @t4926) @t3867)) % 1.71/1.93 (step @p4056 :rule nary_cong :premises (@p3272 @p4055) :args (@t4941)) % 1.71/1.93 (step @p4057 :rule quant-miniscope-or :args ((= @t4939 @t4941))) % 1.71/1.93 (step @p4058 :rule trans :premises (@p4057 @p4056)) % 1.71/1.93 (step @p4059 :rule symm :premises (@p4058)) % 1.71/1.93 (step @p4060 :rule cong :premises (@p4059) :args ((forall @t1138 (or @t4605 @t4944)))) % 1.71/1.93 (step @p4061 :rule trans :premises (@p4060 @p4054)) % 1.71/1.93 (step @p4062 :rule trans :premises (@p4061 @p4053)) % 1.71/1.93 (step @p4063 :rule refl :args (@t4944)) % 1.71/1.93 (step @p4064 :rule nary_cong :premises (@p3164 @p4063) :args (@t4945)) % 1.71/1.93 (step @p4065 :rule cong :premises (@p4064) :args ((forall @t1138 @t4945))) % 1.71/1.93 (step @p4066 :rule trans :premises (@p4065 @p4062)) % 1.71/1.93 (step @p4067 :rule bool-impl-elim :args (@t1137 @t4944)) % 1.71/1.93 (step @p4068 :rule cong :premises (@p4067) :args ((forall @t1138 (=> @t1137 @t4944)))) % 1.71/1.93 (step @p4069 :rule trans :premises (@p4068 @p4066)) % 1.71/1.93 (step @p4070 :rule refl :args ((tptp.in @t4 @t1387))) % 1.71/1.93 (step @p4071 :rule cong :premises (@p976 @p3116) :args (@t4942)) % 1.71/1.93 (step @p4072 :rule trans :premises (@p4071 @p4070)) % 1.71/1.93 (step @p4073 :rule ho_cong :premises (@p979 @p3116)) % 1.71/1.93 (step @p4074 :rule cong :premises (@p4073 @p4072) :args ((= (_ @t5 @t4602) @t4942))) % 1.71/1.93 (step @p4075 :rule symm :premises (@p4074)) % 1.71/1.93 (step @p4076 :rule refl :args (@t1388)) % 1.71/1.93 (step @p4077 :rule eq_resolve :premises (@p4076 @p4075)) % 1.71/1.93 (step @p4078 :rule ho_cong :premises (@p979 @p3148)) % 1.71/1.93 (step @p4079 :rule trans :premises (@p4078 @p4077)) % 1.71/1.93 (step @p4080 :rule refl :args ((tptp.in @t4 @t1457))) % 1.71/1.93 (step @p4081 :rule cong :premises (@p976 @p3431) :args (@t4943)) % 1.71/1.93 (step @p4082 :rule trans :premises (@p4081 @p4080)) % 1.71/1.93 (step @p4083 :rule ho_cong :premises (@p979 @p3431)) % 1.71/1.93 (step @p4084 :rule cong :premises (@p4083 @p4082) :args ((= (_ @t5 @t4673) @t4943))) % 1.71/1.93 (step @p4085 :rule symm :premises (@p4084)) % 1.71/1.93 (step @p4086 :rule refl :args (@t1458)) % 1.71/1.93 (step @p4087 :rule eq_resolve :premises (@p4086 @p4085)) % 1.71/1.93 (step @p4088 :rule ho_cong :premises (@p979 @p3465)) % 1.71/1.93 (step @p4089 :rule trans :premises (@p4088 @p4087)) % 1.71/1.93 (step @p4090 :rule cong :premises (@p4089) :args (@t4946)) % 1.71/1.93 (step @p4091 :rule nary_cong :premises (@p1615 @p4090 @p4079) :args (@t4947)) % 1.71/1.93 (step @p4092 :rule cong :premises (@p4091) :args ((forall @t9 @t4947))) % 1.71/1.93 (step @p4093 :rule aci_norm :args ((= (or @t197 (or @t4946 @t1388)) @t4947))) % 1.71/1.93 (step @p4094 :rule bool-impl-elim :args (@t1458 @t1388)) % 1.71/1.93 (step @p4095 :rule refl :args (@t197)) % 1.71/1.93 (step @p4096 :rule nary_cong :premises (@p4095 @p4094) :args ((or @t197 @t1474))) % 1.71/1.93 (step @p4097 :rule trans :premises (@p4096 @p4093)) % 1.71/1.93 (step @p4098 :rule bool-impl-elim :args (@t7 @t1474)) % 1.71/1.93 (step @p4099 :rule trans :premises (@p4098 @p4097)) % 1.71/1.93 (step @p4100 :rule cong :premises (@p4099) :args (@t1475)) % 1.71/1.93 (step @p4101 :rule trans :premises (@p4100 @p4092)) % 1.71/1.93 (step @p4102 :rule cong :premises (@p3355 @p4101) :args (@t1476)) % 1.71/1.93 (step @p4103 :rule cong :premises (@p4102) :args (@t1477)) % 1.71/1.93 (step @p4104 :rule trans :premises (@p4103 @p4069)) % 1.71/1.93 (step @p4105 :rule cong :premises (@p3170 @p4104) :args (@t1478)) % 1.71/1.93 (step @p4106 :rule cong :premises (@p4105) :args (@t1479)) % 1.71/1.93 (step @p4107 :rule trans :premises (@p4106 @p4051)) % 1.71/1.93 (step @p4108 :rule refl :args (tptp.demorgan2b)) % 1.71/1.93 (step @p4109 :rule cong :premises (@p4108 @p4107) :args (@t1480)) % 1.71/1.93 (step @p4110 :rule eq_resolve :premises (@p273 @p4109)) % 1.71/1.93 (step @p4111 :rule cong :premises (@p4110 @p4033) :args (@t4948)) % 1.71/1.93 (step @p4112 :rule aci_norm :args ((= @t4950 @t2513))) % 1.71/1.93 (step @p4113 :rule cong :premises (@p4112) :args (@t4951)) % 1.71/1.93 (step @p4114 :rule quant-merge-prenex :args ((= (forall @t1142 @t4953) @t4951))) % 1.71/1.93 (step @p4115 :rule alpha_equiv :args (@t4954 (@list @t2506 @t2507) (@list @t1132 @t4955))) % 1.71/1.93 (step @p4116 :rule nary_cong :premises (@p3075 @p4115) :args (@t4956)) % 1.71/1.93 (step @p4117 :rule quant-miniscope-or :args ((= @t4953 @t4956))) % 1.71/1.93 (step @p4118 :rule trans :premises (@p4117 @p4116)) % 1.71/1.93 (step @p4119 :rule symm :premises (@p4118)) % 1.71/1.93 (step @p4120 :rule cong :premises (@p4119) :args ((forall @t1142 (or @t2416 @t4963)))) % 1.71/1.93 (step @p4121 :rule trans :premises (@p4120 @p4114)) % 1.71/1.93 (step @p4122 :rule trans :premises (@p4121 @p4113)) % 1.71/1.93 (step @p4123 :rule refl :args (@t4963)) % 1.71/1.93 (step @p4124 :rule nary_cong :premises (@p3101 @p4123) :args (@t4964)) % 1.71/1.93 (step @p4125 :rule cong :premises (@p4124) :args ((forall @t1142 @t4964))) % 1.71/1.93 (step @p4126 :rule trans :premises (@p4125 @p4122)) % 1.71/1.93 (step @p4127 :rule bool-impl-elim :args (@t1140 @t4963)) % 1.71/1.93 (step @p4128 :rule cong :premises (@p4127) :args ((forall @t1142 (=> @t1140 @t4963)))) % 1.71/1.93 (step @p4129 :rule trans :premises (@p4128 @p4126)) % 1.71/1.93 (step @p4130 :rule aci_norm :args ((= @t4966 @t4961))) % 1.71/1.93 (step @p4131 :rule cong :premises (@p4130) :args (@t4967)) % 1.71/1.93 (step @p4132 :rule quant-merge-prenex :args ((= (forall @t1138 @t4969) @t4967))) % 1.71/1.93 (step @p4133 :rule alpha_equiv :args (@t4970 (@list @t4955) @t3867)) % 1.71/1.93 (step @p4134 :rule nary_cong :premises (@p3272 @p4133) :args (@t4971)) % 1.71/1.93 (step @p4135 :rule quant-miniscope-or :args ((= @t4969 @t4971))) % 1.71/1.93 (step @p4136 :rule trans :premises (@p4135 @p4134)) % 1.71/1.93 (step @p4137 :rule symm :premises (@p4136)) % 1.71/1.93 (step @p4138 :rule cong :premises (@p4137) :args ((forall @t1138 (or @t4605 @t4975)))) % 1.71/1.93 (step @p4139 :rule trans :premises (@p4138 @p4132)) % 1.71/1.93 (step @p4140 :rule trans :premises (@p4139 @p4131)) % 1.71/1.93 (step @p4141 :rule refl :args (@t4975)) % 1.71/1.93 (step @p4142 :rule nary_cong :premises (@p3164 @p4141) :args (@t4976)) % 1.71/1.93 (step @p4143 :rule cong :premises (@p4142) :args ((forall @t1138 @t4976))) % 1.71/1.93 (step @p4144 :rule trans :premises (@p4143 @p4140)) % 1.71/1.93 (step @p4145 :rule bool-impl-elim :args (@t1137 @t4975)) % 1.71/1.93 (step @p4146 :rule cong :premises (@p4145) :args ((forall @t1138 (=> @t1137 @t4975)))) % 1.71/1.93 (step @p4147 :rule trans :premises (@p4146 @p4144)) % 1.71/1.93 (step @p4148 :rule refl :args ((tptp.in @t4 @t1235))) % 1.71/1.93 (step @p4149 :rule cong :premises (@p976 @p3212) :args (@t4972)) % 1.71/1.93 (step @p4150 :rule trans :premises (@p4149 @p4148)) % 1.71/1.93 (step @p4151 :rule ho_cong :premises (@p979 @p3212)) % 1.71/1.93 (step @p4152 :rule cong :premises (@p4151 @p4150) :args ((= (_ @t5 @t4620) @t4972))) % 1.71/1.93 (step @p4153 :rule symm :premises (@p4152)) % 1.71/1.93 (step @p4154 :rule refl :args (@t1428)) % 1.71/1.93 (step @p4155 :rule eq_resolve :premises (@p4154 @p4153)) % 1.71/1.93 (step @p4156 :rule ho_cong :premises (@p979 @p3224)) % 1.71/1.93 (step @p4157 :rule trans :premises (@p4156 @p4155)) % 1.71/1.93 (step @p4158 :rule cong :premises (@p4157) :args (@t4977)) % 1.71/1.93 (step @p4159 :rule refl :args ((tptp.in @t4 @t1163))) % 1.71/1.93 (step @p4160 :rule cong :premises (@p976 @p3110) :args (@t4973)) % 1.71/1.93 (step @p4161 :rule trans :premises (@p4160 @p4159)) % 1.71/1.93 (step @p4162 :rule ho_cong :premises (@p979 @p3110)) % 1.71/1.93 (step @p4163 :rule cong :premises (@p4162 @p4161) :args ((= (_ @t5 @t2409) @t4973))) % 1.71/1.93 (step @p4164 :rule symm :premises (@p4163)) % 1.71/1.93 (step @p4165 :rule refl :args (@t1204)) % 1.71/1.93 (step @p4166 :rule eq_resolve :premises (@p4165 @p4164)) % 1.71/1.93 (step @p4167 :rule ho_cong :premises (@p979 @p3134)) % 1.71/1.93 (step @p4168 :rule trans :premises (@p4167 @p4166)) % 1.71/1.93 (step @p4169 :rule cong :premises (@p4168) :args (@t1205)) % 1.71/1.93 (step @p4170 :rule nary_cong :premises (@p1615 @p4169 @p4158 @p4079) :args (@t4978)) % 1.71/1.93 (step @p4171 :rule cong :premises (@p4170) :args ((forall @t9 @t4978))) % 1.71/1.93 (step @p4172 :rule aci_norm :args ((= (or @t197 @t4979) @t4978))) % 1.71/1.93 (step @p4173 :rule aci_norm :args ((= (or @t1205 (or @t4977 @t1388)) @t4979))) % 1.71/1.93 (step @p4174 :rule bool-impl-elim :args (@t1428 @t1388)) % 1.71/1.93 (step @p4175 :rule refl :args (@t1205)) % 1.71/1.93 (step @p4176 :rule nary_cong :premises (@p4175 @p4174) :args ((or @t1205 @t1466))) % 1.71/1.93 (step @p4177 :rule trans :premises (@p4176 @p4173)) % 1.71/1.93 (step @p4178 :rule bool-impl-elim :args (@t1204 @t1466)) % 1.71/1.93 (step @p4179 :rule trans :premises (@p4178 @p4177)) % 1.71/1.93 (step @p4180 :rule nary_cong :premises (@p4095 @p4179) :args ((or @t197 @t1467))) % 1.71/1.93 (step @p4181 :rule trans :premises (@p4180 @p4172)) % 1.71/1.93 (step @p4182 :rule bool-impl-elim :args (@t7 @t1467)) % 1.71/1.93 (step @p4183 :rule trans :premises (@p4182 @p4181)) % 1.71/1.93 (step @p4184 :rule cong :premises (@p4183) :args (@t1468)) % 1.71/1.93 (step @p4185 :rule trans :premises (@p4184 @p4171)) % 1.71/1.93 (step @p4186 :rule cong :premises (@p3355 @p4185) :args (@t1469)) % 1.71/1.93 (step @p4187 :rule cong :premises (@p4186) :args (@t1470)) % 1.71/1.93 (step @p4188 :rule trans :premises (@p4187 @p4147)) % 1.71/1.93 (step @p4189 :rule cong :premises (@p3170 @p4188) :args (@t1471)) % 1.71/1.93 (step @p4190 :rule cong :premises (@p4189) :args (@t1472)) % 1.71/1.93 (step @p4191 :rule trans :premises (@p4190 @p4129)) % 1.71/1.93 (step @p4192 :rule refl :args (tptp.demorgan2b2)) % 1.71/1.93 (step @p4193 :rule cong :premises (@p4192 @p4191) :args (@t1473)) % 1.71/1.93 (step @p4194 :rule eq_resolve :premises (@p272 @p4193)) % 1.71/1.93 (step @p4195 :rule cong :premises (@p4194 @p4111) :args (@t4980)) % 1.71/1.93 (step @p4196 :rule aci_norm :args ((= @t4982 @t2521))) % 1.71/1.93 (step @p4197 :rule cong :premises (@p4196) :args (@t4983)) % 1.71/1.93 (step @p4198 :rule quant-merge-prenex :args ((= (forall @t1142 @t4985) @t4983))) % 1.71/1.93 (step @p4199 :rule alpha_equiv :args (@t4986 (@list @t2515 @t2516) (@list @t1132 @t4987))) % 1.71/1.93 (step @p4200 :rule nary_cong :premises (@p3075 @p4199) :args (@t4988)) % 1.71/1.93 (step @p4201 :rule quant-miniscope-or :args ((= @t4985 @t4988))) % 1.71/1.93 (step @p4202 :rule trans :premises (@p4201 @p4200)) % 1.71/1.93 (step @p4203 :rule symm :premises (@p4202)) % 1.71/1.93 (step @p4204 :rule cong :premises (@p4203) :args ((forall @t1142 (or @t2416 @t4994)))) % 1.71/1.93 (step @p4205 :rule trans :premises (@p4204 @p4198)) % 1.71/1.93 (step @p4206 :rule trans :premises (@p4205 @p4197)) % 1.71/1.93 (step @p4207 :rule refl :args (@t4994)) % 1.71/1.93 (step @p4208 :rule nary_cong :premises (@p3101 @p4207) :args (@t4995)) % 1.71/1.93 (step @p4209 :rule cong :premises (@p4208) :args ((forall @t1142 @t4995))) % 1.71/1.93 (step @p4210 :rule trans :premises (@p4209 @p4206)) % 1.71/1.93 (step @p4211 :rule bool-impl-elim :args (@t1140 @t4994)) % 1.71/1.93 (step @p4212 :rule cong :premises (@p4211) :args ((forall @t1142 (=> @t1140 @t4994)))) % 1.71/1.93 (step @p4213 :rule trans :premises (@p4212 @p4210)) % 1.71/1.93 (step @p4214 :rule aci_norm :args ((= @t4997 @t4992))) % 1.71/1.93 (step @p4215 :rule cong :premises (@p4214) :args (@t4998)) % 1.71/1.93 (step @p4216 :rule quant-merge-prenex :args ((= (forall @t1138 @t5000) @t4998))) % 1.71/1.93 (step @p4217 :rule alpha_equiv :args (@t5001 (@list @t4987) @t3867)) % 1.71/1.93 (step @p4218 :rule nary_cong :premises (@p3272 @p4217) :args (@t5002)) % 1.71/1.93 (step @p4219 :rule quant-miniscope-or :args ((= @t5000 @t5002))) % 1.71/1.93 (step @p4220 :rule trans :premises (@p4219 @p4218)) % 1.71/1.93 (step @p4221 :rule symm :premises (@p4220)) % 1.71/1.93 (step @p4222 :rule cong :premises (@p4221) :args ((forall @t1138 (or @t4605 @t5004)))) % 1.71/1.93 (step @p4223 :rule trans :premises (@p4222 @p4216)) % 1.71/1.93 (step @p4224 :rule trans :premises (@p4223 @p4215)) % 1.71/1.93 (step @p4225 :rule refl :args (@t5004)) % 1.71/1.93 (step @p4226 :rule nary_cong :premises (@p3164 @p4225) :args (@t5005)) % 1.71/1.93 (step @p4227 :rule cong :premises (@p4226) :args ((forall @t1138 @t5005))) % 1.71/1.93 (step @p4228 :rule trans :premises (@p4227 @p4224)) % 1.71/1.93 (step @p4229 :rule bool-impl-elim :args (@t1137 @t5004)) % 1.71/1.93 (step @p4230 :rule cong :premises (@p4229) :args ((forall @t1138 (=> @t1137 @t5004)))) % 1.71/1.93 (step @p4231 :rule trans :premises (@p4230 @p4228)) % 1.71/1.93 (step @p4232 :rule cong :premises (@p4079) :args (@t5006)) % 1.71/1.93 (step @p4233 :rule nary_cong :premises (@p1615 @p4232 @p4089) :args (@t5007)) % 1.71/1.93 (step @p4234 :rule cong :premises (@p4233) :args ((forall @t9 @t5007))) % 1.71/1.93 (step @p4235 :rule aci_norm :args ((= (or @t197 (or @t5006 @t1458)) @t5007))) % 1.71/1.93 (step @p4236 :rule bool-impl-elim :args (@t1388 @t1458)) % 1.71/1.93 (step @p4237 :rule nary_cong :premises (@p4095 @p4236) :args ((or @t197 @t1459))) % 1.71/1.93 (step @p4238 :rule trans :premises (@p4237 @p4235)) % 1.71/1.93 (step @p4239 :rule bool-impl-elim :args (@t7 @t1459)) % 1.71/1.93 (step @p4240 :rule trans :premises (@p4239 @p4238)) % 1.71/1.93 (step @p4241 :rule cong :premises (@p4240) :args (@t1460)) % 1.71/1.93 (step @p4242 :rule trans :premises (@p4241 @p4234)) % 1.71/1.93 (step @p4243 :rule cong :premises (@p3355 @p4242) :args (@t1461)) % 1.71/1.93 (step @p4244 :rule cong :premises (@p4243) :args (@t1462)) % 1.71/1.93 (step @p4245 :rule trans :premises (@p4244 @p4231)) % 1.71/1.93 (step @p4246 :rule cong :premises (@p3170 @p4245) :args (@t1463)) % 1.71/1.93 (step @p4247 :rule cong :premises (@p4246) :args (@t1464)) % 1.71/1.93 (step @p4248 :rule trans :premises (@p4247 @p4213)) % 1.71/1.93 (step @p4249 :rule refl :args (tptp.demorgan2a)) % 1.71/1.93 (step @p4250 :rule cong :premises (@p4249 @p4248) :args (@t1465)) % 1.71/1.93 (step @p4251 :rule eq_resolve :premises (@p271 @p4250)) % 1.71/1.93 (step @p4252 :rule cong :premises (@p4251 @p4195) :args (@t5008)) % 1.71/1.93 (step @p4253 :rule aci_norm :args ((= @t5010 @t2526))) % 1.71/1.93 (step @p4254 :rule cong :premises (@p4253) :args (@t5011)) % 1.71/1.93 (step @p4255 :rule quant-merge-prenex :args ((= (forall @t1142 @t5013) @t5011))) % 1.71/1.93 (step @p4256 :rule alpha_equiv :args (@t5014 (@list @t2523) @t4599)) % 1.71/1.93 (step @p4257 :rule nary_cong :premises (@p3075 @p4256) :args (@t5015)) % 1.71/1.93 (step @p4258 :rule quant-miniscope-or :args ((= @t5013 @t5015))) % 1.71/1.93 (step @p4259 :rule trans :premises (@p4258 @p4257)) % 1.71/1.93 (step @p4260 :rule symm :premises (@p4259)) % 1.71/1.93 (step @p4261 :rule cong :premises (@p4260) :args ((forall @t1142 (or @t2416 @t5017)))) % 1.71/1.93 (step @p4262 :rule trans :premises (@p4261 @p4255)) % 1.71/1.93 (step @p4263 :rule trans :premises (@p4262 @p4254)) % 1.71/1.93 (step @p4264 :rule refl :args (@t5017)) % 1.71/1.93 (step @p4265 :rule nary_cong :premises (@p3101 @p4264) :args (@t5018)) % 1.71/1.93 (step @p4266 :rule cong :premises (@p4265) :args ((forall @t1142 @t5018))) % 1.71/1.93 (step @p4267 :rule trans :premises (@p4266 @p4263)) % 1.71/1.93 (step @p4268 :rule bool-impl-elim :args (@t1140 @t5017)) % 1.71/1.93 (step @p4269 :rule cong :premises (@p4268) :args ((forall @t1142 (=> @t1140 @t5017)))) % 1.71/1.93 (step @p4270 :rule trans :premises (@p4269 @p4267)) % 1.71/1.93 (step @p4271 :rule refl :args ((tptp.binunion @t1163 @t1235))) % 1.71/1.93 (step @p4272 :rule cong :premises (@p3110 @p3212) :args (@t5016)) % 1.71/1.93 (step @p4273 :rule trans :premises (@p4272 @p4271)) % 1.71/1.93 (step @p4274 :rule ho_cong :premises (@p1276 @p3110)) % 1.71/1.93 (step @p4275 :rule ho_cong :premises (@p4274 @p3212)) % 1.71/1.93 (step @p4276 :rule cong :premises (@p4275 @p4273) :args ((= (_ (_ tptp.binunion @t2409) @t4620) @t5016))) % 1.71/1.93 (step @p4277 :rule symm :premises (@p4276)) % 1.71/1.93 (step @p4278 :rule refl :args (@t1436)) % 1.71/1.93 (step @p4279 :rule eq_resolve :premises (@p4278 @p4277)) % 1.71/1.93 (step @p4280 :rule ho_cong :premises (@p1276 @p3134)) % 1.71/1.93 (step @p4281 :rule ho_cong :premises (@p4280 @p3224)) % 1.71/1.93 (step @p4282 :rule trans :premises (@p4281 @p4279)) % 1.71/1.93 (step @p4283 :rule cong :premises (@p3575 @p4282) :args (@t1452)) % 1.71/1.93 (step @p4284 :rule nary_cong :premises (@p3164 @p4283) :args (@t5019)) % 1.71/1.93 (step @p4285 :rule cong :premises (@p4284) :args ((forall @t1138 @t5019))) % 1.71/1.93 (step @p4286 :rule bool-impl-elim :args (@t1137 @t1452)) % 1.71/1.93 (step @p4287 :rule cong :premises (@p4286) :args (@t1453)) % 1.71/1.93 (step @p4288 :rule trans :premises (@p4287 @p4285)) % 1.71/1.93 (step @p4289 :rule cong :premises (@p3170 @p4288) :args (@t1454)) % 1.71/1.93 (step @p4290 :rule cong :premises (@p4289) :args (@t1455)) % 1.71/1.93 (step @p4291 :rule trans :premises (@p4290 @p4270)) % 1.71/1.93 (step @p4292 :rule refl :args (tptp.demorgan1)) % 1.71/1.93 (step @p4293 :rule cong :premises (@p4292 @p4291) :args (@t1456)) % 1.71/1.93 (step @p4294 :rule eq_resolve :premises (@p270 @p4293)) % 1.71/1.93 (step @p4295 :rule cong :premises (@p4294 @p4252) :args (@t5020)) % 1.71/1.93 (step @p4296 :rule aci_norm :args ((= @t5022 @t2534))) % 1.71/1.93 (step @p4297 :rule cong :premises (@p4296) :args (@t5023)) % 1.71/1.93 (step @p4298 :rule quant-merge-prenex :args ((= (forall @t1142 @t5025) @t5023))) % 1.71/1.93 (step @p4299 :rule alpha_equiv :args (@t5026 (@list @t2528 @t2529) (@list @t1132 @t5027))) % 1.71/1.93 (step @p4300 :rule nary_cong :premises (@p3075 @p4299) :args (@t5028)) % 1.71/1.93 (step @p4301 :rule quant-miniscope-or :args ((= @t5025 @t5028))) % 1.71/1.93 (step @p4302 :rule trans :premises (@p4301 @p4300)) % 1.71/1.93 (step @p4303 :rule symm :premises (@p4302)) % 1.71/1.93 (step @p4304 :rule cong :premises (@p4303) :args ((forall @t1142 (or @t2416 @t5034)))) % 1.71/1.93 (step @p4305 :rule trans :premises (@p4304 @p4298)) % 1.71/1.93 (step @p4306 :rule trans :premises (@p4305 @p4297)) % 1.71/1.93 (step @p4307 :rule refl :args (@t5034)) % 1.71/1.93 (step @p4308 :rule nary_cong :premises (@p3101 @p4307) :args (@t5035)) % 1.71/1.93 (step @p4309 :rule cong :premises (@p4308) :args ((forall @t1142 @t5035))) % 1.71/1.93 (step @p4310 :rule trans :premises (@p4309 @p4306)) % 1.71/1.93 (step @p4311 :rule bool-impl-elim :args (@t1140 @t5034)) % 1.71/1.93 (step @p4312 :rule cong :premises (@p4311) :args ((forall @t1142 (=> @t1140 @t5034)))) % 1.71/1.93 (step @p4313 :rule trans :premises (@p4312 @p4310)) % 1.71/1.93 (step @p4314 :rule aci_norm :args ((= @t5037 @t5032))) % 1.71/1.93 (step @p4315 :rule cong :premises (@p4314) :args (@t5038)) % 1.71/1.93 (step @p4316 :rule quant-merge-prenex :args ((= (forall @t1138 @t5040) @t5038))) % 1.71/1.93 (step @p4317 :rule alpha_equiv :args (@t5041 (@list @t5027) @t3867)) % 1.71/1.93 (step @p4318 :rule nary_cong :premises (@p3272 @p4317) :args (@t5042)) % 1.71/1.93 (step @p4319 :rule quant-miniscope-or :args ((= @t5040 @t5042))) % 1.71/1.93 (step @p4320 :rule trans :premises (@p4319 @p4318)) % 1.71/1.93 (step @p4321 :rule symm :premises (@p4320)) % 1.71/1.93 (step @p4322 :rule cong :premises (@p4321) :args ((forall @t1138 (or @t4605 @t5045)))) % 1.71/1.93 (step @p4323 :rule trans :premises (@p4322 @p4316)) % 1.71/1.93 (step @p4324 :rule trans :premises (@p4323 @p4315)) % 1.71/1.93 (step @p4325 :rule refl :args (@t5045)) % 1.71/1.93 (step @p4326 :rule nary_cong :premises (@p3164 @p4325) :args (@t5046)) % 1.71/1.93 (step @p4327 :rule cong :premises (@p4326) :args ((forall @t1138 @t5046))) % 1.71/1.93 (step @p4328 :rule trans :premises (@p4327 @p4324)) % 1.71/1.93 (step @p4329 :rule bool-impl-elim :args (@t1137 @t5045)) % 1.71/1.93 (step @p4330 :rule cong :premises (@p4329) :args ((forall @t1138 (=> @t1137 @t5045)))) % 1.71/1.93 (step @p4331 :rule trans :premises (@p4330 @p4328)) % 1.71/1.93 (step @p4332 :rule refl :args ((tptp.in @t4 @t1291))) % 1.71/1.93 (step @p4333 :rule cong :premises (@p976 @p3553) :args (@t5043)) % 1.71/1.93 (step @p4334 :rule trans :premises (@p4333 @p4332)) % 1.71/1.93 (step @p4335 :rule ho_cong :premises (@p979 @p3553)) % 1.71/1.93 (step @p4336 :rule cong :premises (@p4335 @p4334) :args ((= (_ @t5 @t4724) @t5043))) % 1.71/1.93 (step @p4337 :rule symm :premises (@p4336)) % 1.71/1.93 (step @p4338 :rule refl :args (@t1292)) % 1.71/1.93 (step @p4339 :rule eq_resolve :premises (@p4338 @p4337)) % 1.71/1.93 (step @p4340 :rule ho_cong :premises (@p979 @p3575)) % 1.71/1.93 (step @p4341 :rule trans :premises (@p4340 @p4339)) % 1.71/1.93 (step @p4342 :rule refl :args ((tptp.in @t4 @t1436))) % 1.71/1.93 (step @p4343 :rule cong :premises (@p976 @p4273) :args (@t5044)) % 1.71/1.93 (step @p4344 :rule trans :premises (@p4343 @p4342)) % 1.71/1.93 (step @p4345 :rule ho_cong :premises (@p979 @p4273)) % 1.71/1.93 (step @p4346 :rule cong :premises (@p4345 @p4344) :args ((= (_ @t5 @t5016) @t5044))) % 1.71/1.93 (step @p4347 :rule symm :premises (@p4346)) % 1.71/1.93 (step @p4348 :rule refl :args (@t1437)) % 1.71/1.93 (step @p4349 :rule eq_resolve :premises (@p4348 @p4347)) % 1.71/1.93 (step @p4350 :rule ho_cong :premises (@p979 @p4282)) % 1.71/1.93 (step @p4351 :rule trans :premises (@p4350 @p4349)) % 1.71/1.93 (step @p4352 :rule cong :premises (@p4351) :args (@t5047)) % 1.71/1.93 (step @p4353 :rule nary_cong :premises (@p1615 @p4352 @p4341) :args (@t5048)) % 1.71/1.93 (step @p4354 :rule cong :premises (@p4353) :args ((forall @t9 @t5048))) % 1.71/1.93 (step @p4355 :rule aci_norm :args ((= (or @t197 (or @t5047 @t1292)) @t5048))) % 1.71/1.93 (step @p4356 :rule bool-impl-elim :args (@t1437 @t1292)) % 1.71/1.93 (step @p4357 :rule nary_cong :premises (@p4095 @p4356) :args ((or @t197 @t1445))) % 1.71/1.93 (step @p4358 :rule trans :premises (@p4357 @p4355)) % 1.71/1.93 (step @p4359 :rule bool-impl-elim :args (@t7 @t1445)) % 1.71/1.93 (step @p4360 :rule trans :premises (@p4359 @p4358)) % 1.71/1.93 (step @p4361 :rule cong :premises (@p4360) :args (@t1446)) % 1.71/1.93 (step @p4362 :rule trans :premises (@p4361 @p4354)) % 1.71/1.93 (step @p4363 :rule cong :premises (@p3355 @p4362) :args (@t1447)) % 1.71/1.93 (step @p4364 :rule cong :premises (@p4363) :args (@t1448)) % 1.71/1.93 (step @p4365 :rule trans :premises (@p4364 @p4331)) % 1.71/1.93 (step @p4366 :rule cong :premises (@p3170 @p4365) :args (@t1449)) % 1.71/1.93 (step @p4367 :rule cong :premises (@p4366) :args (@t1450)) % 1.71/1.93 (step @p4368 :rule trans :premises (@p4367 @p4313)) % 1.71/1.93 (step @p4369 :rule refl :args (tptp.demorgan1b)) % 1.71/1.93 (step @p4370 :rule cong :premises (@p4369 @p4368) :args (@t1451)) % 1.71/1.93 (step @p4371 :rule eq_resolve :premises (@p269 @p4370)) % 1.71/1.93 (step @p4372 :rule cong :premises (@p4371 @p4295) :args (@t5049)) % 1.71/1.93 (step @p4373 :rule aci_norm :args ((= @t5051 @t2542))) % 1.71/1.93 (step @p4374 :rule cong :premises (@p4373) :args (@t5052)) % 1.71/1.93 (step @p4375 :rule quant-merge-prenex :args ((= (forall @t1142 @t5054) @t5052))) % 1.71/1.93 (step @p4376 :rule alpha_equiv :args (@t5055 (@list @t2536 @t2537) (@list @t1132 @t5056))) % 1.71/1.93 (step @p4377 :rule nary_cong :premises (@p3075 @p4376) :args (@t5057)) % 1.71/1.93 (step @p4378 :rule quant-miniscope-or :args ((= @t5054 @t5057))) % 1.71/1.93 (step @p4379 :rule trans :premises (@p4378 @p4377)) % 1.71/1.93 (step @p4380 :rule symm :premises (@p4379)) % 1.71/1.93 (step @p4381 :rule cong :premises (@p4380) :args ((forall @t1142 (or @t2416 @t5063)))) % 1.71/1.93 (step @p4382 :rule trans :premises (@p4381 @p4375)) % 1.71/1.93 (step @p4383 :rule trans :premises (@p4382 @p4374)) % 1.71/1.93 (step @p4384 :rule refl :args (@t5063)) % 1.71/1.93 (step @p4385 :rule nary_cong :premises (@p3101 @p4384) :args (@t5064)) % 1.71/1.93 (step @p4386 :rule cong :premises (@p4385) :args ((forall @t1142 @t5064))) % 1.71/1.93 (step @p4387 :rule trans :premises (@p4386 @p4383)) % 1.71/1.93 (step @p4388 :rule bool-impl-elim :args (@t1140 @t5063)) % 1.71/1.93 (step @p4389 :rule cong :premises (@p4388) :args ((forall @t1142 (=> @t1140 @t5063)))) % 1.71/1.93 (step @p4390 :rule trans :premises (@p4389 @p4387)) % 1.71/1.93 (step @p4391 :rule aci_norm :args ((= @t5066 @t5061))) % 1.71/1.93 (step @p4392 :rule cong :premises (@p4391) :args (@t5067)) % 1.71/1.93 (step @p4393 :rule quant-merge-prenex :args ((= (forall @t1138 @t5069) @t5067))) % 1.71/1.93 (step @p4394 :rule alpha_equiv :args (@t5070 (@list @t5056) @t3867)) % 1.71/1.93 (step @p4395 :rule nary_cong :premises (@p3272 @p4394) :args (@t5071)) % 1.71/1.93 (step @p4396 :rule quant-miniscope-or :args ((= @t5069 @t5071))) % 1.71/1.93 (step @p4397 :rule trans :premises (@p4396 @p4395)) % 1.71/1.93 (step @p4398 :rule symm :premises (@p4397)) % 1.71/1.93 (step @p4399 :rule cong :premises (@p4398) :args ((forall @t1138 (or @t4605 @t5072)))) % 1.71/1.93 (step @p4400 :rule trans :premises (@p4399 @p4393)) % 1.71/1.93 (step @p4401 :rule trans :premises (@p4400 @p4392)) % 1.71/1.93 (step @p4402 :rule refl :args (@t5072)) % 1.71/1.93 (step @p4403 :rule nary_cong :premises (@p3164 @p4402) :args (@t5073)) % 1.71/1.93 (step @p4404 :rule cong :premises (@p4403) :args ((forall @t1138 @t5073))) % 1.71/1.93 (step @p4405 :rule trans :premises (@p4404 @p4401)) % 1.71/1.93 (step @p4406 :rule bool-impl-elim :args (@t1137 @t5072)) % 1.71/1.93 (step @p4407 :rule cong :premises (@p4406) :args ((forall @t1138 (=> @t1137 @t5072)))) % 1.71/1.93 (step @p4408 :rule trans :premises (@p4407 @p4405)) % 1.71/1.93 (step @p4409 :rule cong :premises (@p4341) :args (@t5074)) % 1.71/1.93 (step @p4410 :rule nary_cong :premises (@p1615 @p4409 @p4351) :args (@t5075)) % 1.71/1.93 (step @p4411 :rule cong :premises (@p4410) :args ((forall @t9 @t5075))) % 1.71/1.93 (step @p4412 :rule aci_norm :args ((= (or @t197 (or @t5074 @t1437)) @t5075))) % 1.71/1.93 (step @p4413 :rule bool-impl-elim :args (@t1292 @t1437)) % 1.71/1.93 (step @p4414 :rule nary_cong :premises (@p4095 @p4413) :args ((or @t197 @t1438))) % 1.71/1.93 (step @p4415 :rule trans :premises (@p4414 @p4412)) % 1.71/1.93 (step @p4416 :rule bool-impl-elim :args (@t7 @t1438)) % 1.71/1.93 (step @p4417 :rule trans :premises (@p4416 @p4415)) % 1.71/1.93 (step @p4418 :rule cong :premises (@p4417) :args (@t1439)) % 1.71/1.93 (step @p4419 :rule trans :premises (@p4418 @p4411)) % 1.71/1.93 (step @p4420 :rule cong :premises (@p3355 @p4419) :args (@t1440)) % 1.71/1.93 (step @p4421 :rule cong :premises (@p4420) :args (@t1441)) % 1.71/1.93 (step @p4422 :rule trans :premises (@p4421 @p4408)) % 1.71/1.93 (step @p4423 :rule cong :premises (@p3170 @p4422) :args (@t1442)) % 1.71/1.93 (step @p4424 :rule cong :premises (@p4423) :args (@t1443)) % 1.71/1.93 (step @p4425 :rule trans :premises (@p4424 @p4390)) % 1.71/1.93 (step @p4426 :rule refl :args (tptp.demorgan1a)) % 1.71/1.93 (step @p4427 :rule cong :premises (@p4426 @p4425) :args (@t1444)) % 1.71/1.93 (step @p4428 :rule eq_resolve :premises (@p268 @p4427)) % 1.71/1.93 (step @p4429 :rule cong :premises (@p4428 @p4372) :args (@t5076)) % 1.71/1.93 (step @p4430 :rule aci_norm :args ((= @t5078 @t2550))) % 1.71/1.93 (step @p4431 :rule cong :premises (@p4430) :args (@t5079)) % 1.71/1.93 (step @p4432 :rule quant-merge-prenex :args ((= (forall @t1142 @t5081) @t5079))) % 1.71/1.93 (step @p4433 :rule alpha_equiv :args (@t5082 (@list @t2544 @t2545) (@list @t1132 @t5083))) % 1.71/1.93 (step @p4434 :rule nary_cong :premises (@p3075 @p4433) :args (@t5084)) % 1.71/1.93 (step @p4435 :rule quant-miniscope-or :args ((= @t5081 @t5084))) % 1.71/1.93 (step @p4436 :rule trans :premises (@p4435 @p4434)) % 1.71/1.93 (step @p4437 :rule symm :premises (@p4436)) % 1.71/1.93 (step @p4438 :rule cong :premises (@p4437) :args ((forall @t1142 (or @t2416 @t5090)))) % 1.71/1.93 (step @p4439 :rule trans :premises (@p4438 @p4432)) % 1.71/1.93 (step @p4440 :rule trans :premises (@p4439 @p4431)) % 1.71/1.93 (step @p4441 :rule refl :args (@t5090)) % 1.71/1.93 (step @p4442 :rule nary_cong :premises (@p3101 @p4441) :args (@t5091)) % 1.71/1.93 (step @p4443 :rule cong :premises (@p4442) :args ((forall @t1142 @t5091))) % 1.71/1.93 (step @p4444 :rule trans :premises (@p4443 @p4440)) % 1.71/1.93 (step @p4445 :rule bool-impl-elim :args (@t1140 @t5090)) % 1.71/1.93 (step @p4446 :rule cong :premises (@p4445) :args ((forall @t1142 (=> @t1140 @t5090)))) % 1.71/1.93 (step @p4447 :rule trans :premises (@p4446 @p4444)) % 1.71/1.93 (step @p4448 :rule aci_norm :args ((= @t5093 @t5088))) % 1.71/1.93 (step @p4449 :rule cong :premises (@p4448) :args (@t5094)) % 1.71/1.93 (step @p4450 :rule quant-merge-prenex :args ((= (forall @t1138 @t5096) @t5094))) % 1.71/1.93 (step @p4451 :rule alpha_equiv :args (@t5097 (@list @t5083) @t3867)) % 1.71/1.93 (step @p4452 :rule nary_cong :premises (@p3272 @p4451) :args (@t5098)) % 1.71/1.93 (step @p4453 :rule quant-miniscope-or :args ((= @t5096 @t5098))) % 1.71/1.93 (step @p4454 :rule trans :premises (@p4453 @p4452)) % 1.71/1.93 (step @p4455 :rule symm :premises (@p4454)) % 1.71/1.93 (step @p4456 :rule cong :premises (@p4455) :args ((forall @t1138 (or @t4605 @t5099)))) % 1.71/1.93 (step @p4457 :rule trans :premises (@p4456 @p4450)) % 1.71/1.93 (step @p4458 :rule trans :premises (@p4457 @p4449)) % 1.71/1.93 (step @p4459 :rule refl :args (@t5099)) % 1.71/1.93 (step @p4460 :rule nary_cong :premises (@p3164 @p4459) :args (@t5100)) % 1.71/1.93 (step @p4461 :rule cong :premises (@p4460) :args ((forall @t1138 @t5100))) % 1.71/1.93 (step @p4462 :rule trans :premises (@p4461 @p4458)) % 1.71/1.93 (step @p4463 :rule bool-impl-elim :args (@t1137 @t5099)) % 1.71/1.93 (step @p4464 :rule cong :premises (@p4463) :args ((forall @t1138 (=> @t1137 @t5099)))) % 1.71/1.93 (step @p4465 :rule trans :premises (@p4464 @p4462)) % 1.71/1.93 (step @p4466 :rule nary_cong :premises (@p1615 @p4232 @p4157) :args (@t5101)) % 1.71/1.93 (step @p4467 :rule cong :premises (@p4466) :args ((forall @t9 @t5101))) % 1.71/1.93 (step @p4468 :rule aci_norm :args ((= (or @t197 (or @t5006 @t1428)) @t5101))) % 1.71/1.93 (step @p4469 :rule bool-impl-elim :args (@t1388 @t1428)) % 1.71/1.93 (step @p4470 :rule nary_cong :premises (@p4095 @p4469) :args ((or @t197 @t1429))) % 1.71/1.93 (step @p4471 :rule trans :premises (@p4470 @p4468)) % 1.71/1.93 (step @p4472 :rule bool-impl-elim :args (@t7 @t1429)) % 1.71/1.93 (step @p4473 :rule trans :premises (@p4472 @p4471)) % 1.71/1.93 (step @p4474 :rule cong :premises (@p4473) :args (@t1430)) % 1.71/1.93 (step @p4475 :rule trans :premises (@p4474 @p4467)) % 1.71/1.93 (step @p4476 :rule cong :premises (@p3355 @p4475) :args (@t1431)) % 1.71/1.93 (step @p4477 :rule cong :premises (@p4476) :args (@t1432)) % 1.71/1.93 (step @p4478 :rule trans :premises (@p4477 @p4465)) % 1.71/1.93 (step @p4479 :rule cong :premises (@p3170 @p4478) :args (@t1433)) % 1.71/1.93 (step @p4480 :rule cong :premises (@p4479) :args (@t1434)) % 1.71/1.93 (step @p4481 :rule trans :premises (@p4480 @p4447)) % 1.71/1.93 (step @p4482 :rule refl :args (tptp.demorgan2a2)) % 1.71/1.93 (step @p4483 :rule cong :premises (@p4482 @p4481) :args (@t1435)) % 1.71/1.93 (step @p4484 :rule eq_resolve :premises (@p267 @p4483)) % 1.71/1.93 (step @p4485 :rule cong :premises (@p4484 @p4429) :args (@t5102)) % 1.71/1.93 (step @p4486 :rule refl :args (tptp.complementUnionInPowersetComplement)) % 1.71/1.93 (step @p4487 :rule cong :premises (@p4486 @p3173) :args (@t1427)) % 1.71/1.93 (step @p4488 :rule eq_resolve :premises (@p266 @p4487)) % 1.71/1.93 (step @p4489 :rule cong :premises (@p4488 @p4485) :args (@t5103)) % 1.71/1.93 (step @p4490 :rule eq-symm :args (@t2560 tptp.demorgan2a1)) % 1.71/1.93 (step @p4491 :rule refl :args (tptp.demorgan2a1)) % 1.71/1.93 (step @p4492 :rule aci_norm :args ((= @t5105 @t2558))) % 1.71/1.93 (step @p4493 :rule cong :premises (@p4492) :args (@t5106)) % 1.71/1.93 (step @p4494 :rule quant-merge-prenex :args ((= (forall @t1142 @t5108) @t5106))) % 1.71/1.93 (step @p4495 :rule alpha_equiv :args (@t5109 (@list @t2554 @t2552) (@list @t1132 @t5110))) % 1.71/1.93 (step @p4496 :rule nary_cong :premises (@p3075 @p4495) :args (@t5111)) % 1.71/1.93 (step @p4497 :rule quant-miniscope-or :args ((= @t5108 @t5111))) % 1.71/1.93 (step @p4498 :rule trans :premises (@p4497 @p4496)) % 1.71/1.93 (step @p4499 :rule symm :premises (@p4498)) % 1.71/1.93 (step @p4500 :rule cong :premises (@p4499) :args ((forall @t1142 (or @t2416 @t5117)))) % 1.71/1.93 (step @p4501 :rule trans :premises (@p4500 @p4494)) % 1.71/1.93 (step @p4502 :rule trans :premises (@p4501 @p4493)) % 1.71/1.93 (step @p4503 :rule refl :args (@t5117)) % 1.71/1.93 (step @p4504 :rule nary_cong :premises (@p3101 @p4503) :args (@t5118)) % 1.71/1.93 (step @p4505 :rule cong :premises (@p4504) :args ((forall @t1142 @t5118))) % 1.71/1.93 (step @p4506 :rule trans :premises (@p4505 @p4502)) % 1.71/1.93 (step @p4507 :rule bool-impl-elim :args (@t1140 @t5117)) % 1.71/1.93 (step @p4508 :rule cong :premises (@p4507) :args ((forall @t1142 (=> @t1140 @t5117)))) % 1.71/1.93 (step @p4509 :rule trans :premises (@p4508 @p4506)) % 1.71/1.93 (step @p4510 :rule aci_norm :args ((= @t5120 @t5115))) % 1.71/1.93 (step @p4511 :rule cong :premises (@p4510) :args (@t5121)) % 1.71/1.93 (step @p4512 :rule quant-merge-prenex :args ((= (forall @t1138 @t5123) @t5121))) % 1.71/1.93 (step @p4513 :rule alpha_equiv :args (@t5124 (@list @t5110) @t3867)) % 1.71/1.93 (step @p4514 :rule nary_cong :premises (@p3272 @p4513) :args (@t5125)) % 1.71/1.93 (step @p4515 :rule quant-miniscope-or :args ((= @t5123 @t5125))) % 1.71/1.93 (step @p4516 :rule trans :premises (@p4515 @p4514)) % 1.71/1.93 (step @p4517 :rule symm :premises (@p4516)) % 1.71/1.93 (step @p4518 :rule cong :premises (@p4517) :args ((forall @t1138 (or @t4605 @t5126)))) % 1.71/1.93 (step @p4519 :rule trans :premises (@p4518 @p4512)) % 1.71/1.93 (step @p4520 :rule trans :premises (@p4519 @p4511)) % 1.71/1.93 (step @p4521 :rule refl :args (@t5126)) % 1.71/1.93 (step @p4522 :rule nary_cong :premises (@p3164 @p4521) :args (@t5127)) % 1.71/1.93 (step @p4523 :rule cong :premises (@p4522) :args ((forall @t1138 @t5127))) % 1.71/1.93 (step @p4524 :rule trans :premises (@p4523 @p4520)) % 1.71/1.93 (step @p4525 :rule bool-impl-elim :args (@t1137 @t5126)) % 1.71/1.93 (step @p4526 :rule cong :premises (@p4525) :args ((forall @t1138 (=> @t1137 @t5126)))) % 1.71/1.93 (step @p4527 :rule trans :premises (@p4526 @p4524)) % 1.71/1.93 (step @p4528 :rule nary_cong :premises (@p1615 @p4232 @p4168) :args (@t5128)) % 1.71/1.93 (step @p4529 :rule cong :premises (@p4528) :args ((forall @t9 @t5128))) % 1.71/1.93 (step @p4530 :rule aci_norm :args ((= (or @t197 (or @t5006 @t1204)) @t5128))) % 1.71/1.93 (step @p4531 :rule bool-impl-elim :args (@t1388 @t1204)) % 1.71/1.93 (step @p4532 :rule nary_cong :premises (@p4095 @p4531) :args ((or @t197 @t1396))) % 1.71/1.93 (step @p4533 :rule trans :premises (@p4532 @p4530)) % 1.71/1.93 (step @p4534 :rule bool-impl-elim :args (@t7 @t1396)) % 1.71/1.93 (step @p4535 :rule trans :premises (@p4534 @p4533)) % 1.71/1.93 (step @p4536 :rule cong :premises (@p4535) :args (@t1397)) % 1.71/1.93 (step @p4537 :rule trans :premises (@p4536 @p4529)) % 1.71/1.93 (step @p4538 :rule cong :premises (@p3355 @p4537) :args (@t1398)) % 1.71/1.93 (step @p4539 :rule cong :premises (@p4538) :args (@t1399)) % 1.71/1.93 (step @p4540 :rule trans :premises (@p4539 @p4527)) % 1.71/1.93 (step @p4541 :rule cong :premises (@p3170 @p4540) :args (@t1400)) % 1.71/1.93 (step @p4542 :rule cong :premises (@p4541) :args (@t1401)) % 1.71/1.93 (step @p4543 :rule trans :premises (@p4542 @p4509)) % 1.71/1.93 (step @p4544 :rule cong :premises (@p4543 @p4491) :args ((= @t1401 tptp.demorgan2a1))) % 1.71/1.93 (step @p4545 :rule trans :premises (@p4544 @p4490)) % 1.71/1.93 (step @p4546 :rule eq-symm :args (tptp.demorgan2a1 @t1401)) % 1.71/1.93 (step @p4547 :rule trans :premises (@p4546 @p4545)) % 1.71/1.93 (step @p4548 :rule eq_resolve :premises (@p265 @p4547)) % 1.71/1.93 (step @p4549 :rule cong :premises (@p4548 @p4489) :args (@t5129)) % 1.71/1.93 (step @p4550 :rule aci_norm :args ((= @t5131 @t2568))) % 1.71/1.93 (step @p4551 :rule cong :premises (@p4550) :args (@t5132)) % 1.71/1.93 (step @p4552 :rule quant-merge-prenex :args ((= (forall @t1142 @t5134) @t5132))) % 1.71/1.93 (step @p4553 :rule alpha_equiv :args (@t5135 (@list @t2561 @t2562) (@list @t1132 @t5136))) % 1.71/1.93 (step @p4554 :rule nary_cong :premises (@p3075 @p4553) :args (@t5137)) % 1.71/1.93 (step @p4555 :rule quant-miniscope-or :args ((= @t5134 @t5137))) % 1.71/1.93 (step @p4556 :rule trans :premises (@p4555 @p4554)) % 1.71/1.93 (step @p4557 :rule symm :premises (@p4556)) % 1.71/1.93 (step @p4558 :rule cong :premises (@p4557) :args ((forall @t1142 (or @t2416 @t5144)))) % 1.71/1.93 (step @p4559 :rule trans :premises (@p4558 @p4552)) % 1.71/1.93 (step @p4560 :rule trans :premises (@p4559 @p4551)) % 1.71/1.93 (step @p4561 :rule refl :args (@t5144)) % 1.71/1.93 (step @p4562 :rule nary_cong :premises (@p3101 @p4561) :args (@t5145)) % 1.71/1.93 (step @p4563 :rule cong :premises (@p4562) :args ((forall @t1142 @t5145))) % 1.71/1.93 (step @p4564 :rule trans :premises (@p4563 @p4560)) % 1.71/1.93 (step @p4565 :rule bool-impl-elim :args (@t1140 @t5144)) % 1.71/1.93 (step @p4566 :rule cong :premises (@p4565) :args ((forall @t1142 (=> @t1140 @t5144)))) % 1.71/1.93 (step @p4567 :rule trans :premises (@p4566 @p4564)) % 1.71/1.93 (step @p4568 :rule aci_norm :args ((= @t5147 @t5142))) % 1.71/1.93 (step @p4569 :rule cong :premises (@p4568) :args (@t5148)) % 1.71/1.93 (step @p4570 :rule quant-merge-prenex :args ((= (forall @t1138 @t5150) @t5148))) % 1.71/1.93 (step @p4571 :rule alpha_equiv :args (@t5151 (@list @t5136) @t3867)) % 1.71/1.93 (step @p4572 :rule nary_cong :premises (@p3272 @p4571) :args (@t5152)) % 1.71/1.93 (step @p4573 :rule quant-miniscope-or :args ((= @t5150 @t5152))) % 1.71/1.93 (step @p4574 :rule trans :premises (@p4573 @p4572)) % 1.71/1.93 (step @p4575 :rule symm :premises (@p4574)) % 1.71/1.93 (step @p4576 :rule cong :premises (@p4575) :args ((forall @t1138 (or @t4605 @t5156)))) % 1.71/1.93 (step @p4577 :rule trans :premises (@p4576 @p4570)) % 1.71/1.93 (step @p4578 :rule trans :premises (@p4577 @p4569)) % 1.71/1.93 (step @p4579 :rule refl :args (@t5156)) % 1.71/1.93 (step @p4580 :rule nary_cong :premises (@p3164 @p4579) :args (@t5157)) % 1.71/1.93 (step @p4581 :rule cong :premises (@p4580) :args ((forall @t1138 @t5157))) % 1.71/1.93 (step @p4582 :rule trans :premises (@p4581 @p4578)) % 1.71/1.93 (step @p4583 :rule bool-impl-elim :args (@t1137 @t5156)) % 1.71/1.93 (step @p4584 :rule cong :premises (@p4583) :args ((forall @t1138 (=> @t1137 @t5156)))) % 1.71/1.93 (step @p4585 :rule trans :premises (@p4584 @p4582)) % 1.71/1.93 (step @p4586 :rule refl :args ((tptp.in @t4 @t1146))) % 1.71/1.93 (step @p4587 :rule cong :premises (@p976 @p3114) :args (@t5153)) % 1.71/1.93 (step @p4588 :rule trans :premises (@p4587 @p4586)) % 1.71/1.93 (step @p4589 :rule ho_cong :premises (@p979 @p3114)) % 1.71/1.93 (step @p4590 :rule cong :premises (@p4589 @p4588) :args ((= (_ @t5 @t4601) @t5153))) % 1.71/1.93 (step @p4591 :rule symm :premises (@p4590)) % 1.71/1.93 (step @p4592 :rule refl :args (@t1326)) % 1.71/1.93 (step @p4593 :rule eq_resolve :premises (@p4592 @p4591)) % 1.71/1.93 (step @p4594 :rule ho_cong :premises (@p979 @p3146)) % 1.71/1.93 (step @p4595 :rule trans :premises (@p4594 @p4593)) % 1.71/1.93 (step @p4596 :rule cong :premises (@p4595) :args (@t1327)) % 1.71/1.93 (step @p4597 :rule refl :args (@t5155)) % 1.71/1.93 (step @p4598 :rule refl :args (@t1169)) % 1.71/1.93 (step @p4599 :rule cong :premises (@p4598 @p4597) :args ((= @t1169 @t5155))) % 1.71/1.93 (step @p4600 :rule symm :premises (@p4599)) % 1.71/1.93 (step @p4601 :rule eq_resolve :premises (@p4598 @p4600)) % 1.71/1.93 (step @p4602 :rule refl :args (@t2747)) % 1.71/1.93 (step @p4603 :rule refl :args (@t696)) % 1.71/1.93 (step @p4604 :rule cong :premises (@p4603 @p4602) :args ((= @t696 @t2747))) % 1.71/1.93 (step @p4605 :rule symm :premises (@p4604)) % 1.71/1.93 (step @p4606 :rule eq_resolve :premises (@p4603 @p4605)) % 1.71/1.93 (step @p4607 :rule nary_cong :premises (@p1615 @p4606 @p4601 @p4596) :args (@t5158)) % 1.71/1.93 (step @p4608 :rule cong :premises (@p4607) :args ((forall @t9 @t5158))) % 1.71/1.93 (step @p4609 :rule aci_norm :args ((= (or @t197 @t5159) @t5158))) % 1.71/1.93 (step @p4610 :rule aci_norm :args ((= (or @t696 (or @t1169 @t1327)) @t5159))) % 1.71/1.93 (step @p4611 :rule refl :args (@t1327)) % 1.71/1.93 (step @p4612 :rule bool-double-not-elim :args (@t1169)) % 1.71/1.93 (step @p4613 :rule nary_cong :premises (@p4612 @p4611) :args ((or @t5160 @t1327))) % 1.71/1.93 (step @p4614 :rule bool-impl-elim :args (@t1226 @t1327)) % 1.71/1.93 (step @p4615 :rule trans :premises (@p4614 @p4613)) % 1.71/1.93 (step @p4616 :rule nary_cong :premises (@p4603 @p4615) :args ((or @t696 @t1414))) % 1.71/1.93 (step @p4617 :rule trans :premises (@p4616 @p4610)) % 1.71/1.93 (step @p4618 :rule refl :args (@t1414)) % 1.71/1.93 (step @p4619 :rule bool-double-not-elim :args (@t696)) % 1.71/1.93 (step @p4620 :rule nary_cong :premises (@p4619 @p4618) :args ((or @t5161 @t1414))) % 1.71/1.93 (step @p4621 :rule bool-impl-elim :args (@t1218 @t1414)) % 1.71/1.93 (step @p4622 :rule trans :premises (@p4621 @p4620)) % 1.71/1.93 (step @p4623 :rule trans :premises (@p4622 @p4617)) % 1.71/1.93 (step @p4624 :rule nary_cong :premises (@p4095 @p4623) :args ((or @t197 @t1415))) % 1.71/1.93 (step @p4625 :rule trans :premises (@p4624 @p4609)) % 1.71/1.93 (step @p4626 :rule bool-impl-elim :args (@t7 @t1415)) % 1.71/1.93 (step @p4627 :rule trans :premises (@p4626 @p4625)) % 1.71/1.93 (step @p4628 :rule cong :premises (@p4627) :args (@t1416)) % 1.71/1.93 (step @p4629 :rule trans :premises (@p4628 @p4608)) % 1.71/1.93 (step @p4630 :rule cong :premises (@p3355 @p4629) :args (@t1417)) % 1.71/1.93 (step @p4631 :rule cong :premises (@p4630) :args (@t1418)) % 1.71/1.93 (step @p4632 :rule trans :premises (@p4631 @p4585)) % 1.71/1.93 (step @p4633 :rule cong :premises (@p3170 @p4632) :args (@t1419)) % 1.71/1.93 (step @p4634 :rule cong :premises (@p4633) :args (@t1420)) % 1.71/1.93 (step @p4635 :rule trans :premises (@p4634 @p4567)) % 1.71/1.93 (step @p4636 :rule refl :args (tptp.binunionTEcontra)) % 1.71/1.93 (step @p4637 :rule cong :premises (@p4636 @p4635) :args (@t1421)) % 1.71/1.93 (step @p4638 :rule eq_resolve :premises (@p264 @p4637)) % 1.71/1.93 (step @p4639 :rule cong :premises (@p4638 @p4549) :args (@t5162)) % 1.71/1.93 (step @p4640 :rule aci_norm :args ((= @t5164 @t2577))) % 1.71/1.93 (step @p4641 :rule cong :premises (@p4640) :args (@t5165)) % 1.71/1.93 (step @p4642 :rule quant-merge-prenex :args ((= (forall @t1142 @t5167) @t5165))) % 1.71/1.93 (step @p4643 :rule alpha_equiv :args (@t5168 (@list @t2570 @t2571) (@list @t1132 @t5169))) % 1.71/1.93 (step @p4644 :rule nary_cong :premises (@p3075 @p4643) :args (@t5170)) % 1.71/1.93 (step @p4645 :rule quant-miniscope-or :args ((= @t5167 @t5170))) % 1.71/1.93 (step @p4646 :rule trans :premises (@p4645 @p4644)) % 1.71/1.93 (step @p4647 :rule symm :premises (@p4646)) % 1.71/1.93 (step @p4648 :rule cong :premises (@p4647) :args ((forall @t1142 (or @t2416 @t5177)))) % 1.71/1.93 (step @p4649 :rule trans :premises (@p4648 @p4642)) % 1.71/1.93 (step @p4650 :rule trans :premises (@p4649 @p4641)) % 1.71/1.93 (step @p4651 :rule refl :args (@t5177)) % 1.71/1.93 (step @p4652 :rule nary_cong :premises (@p3101 @p4651) :args (@t5178)) % 1.71/1.93 (step @p4653 :rule cong :premises (@p4652) :args ((forall @t1142 @t5178))) % 1.71/1.93 (step @p4654 :rule trans :premises (@p4653 @p4650)) % 1.71/1.93 (step @p4655 :rule bool-impl-elim :args (@t1140 @t5177)) % 1.71/1.93 (step @p4656 :rule cong :premises (@p4655) :args ((forall @t1142 (=> @t1140 @t5177)))) % 1.71/1.93 (step @p4657 :rule trans :premises (@p4656 @p4654)) % 1.71/1.93 (step @p4658 :rule aci_norm :args ((= @t5180 @t5175))) % 1.71/1.93 (step @p4659 :rule cong :premises (@p4658) :args (@t5181)) % 1.71/1.93 (step @p4660 :rule quant-merge-prenex :args ((= (forall @t1138 @t5183) @t5181))) % 1.71/1.93 (step @p4661 :rule alpha_equiv :args (@t5184 (@list @t5169) @t3867)) % 1.71/1.93 (step @p4662 :rule nary_cong :premises (@p3272 @p4661) :args (@t5185)) % 1.71/1.93 (step @p4663 :rule quant-miniscope-or :args ((= @t5183 @t5185))) % 1.71/1.93 (step @p4664 :rule trans :premises (@p4663 @p4662)) % 1.71/1.93 (step @p4665 :rule symm :premises (@p4664)) % 1.71/1.93 (step @p4666 :rule cong :premises (@p4665) :args ((forall @t1138 (or @t4605 @t5186)))) % 1.71/1.93 (step @p4667 :rule trans :premises (@p4666 @p4660)) % 1.71/1.93 (step @p4668 :rule trans :premises (@p4667 @p4659)) % 1.71/1.93 (step @p4669 :rule refl :args (@t5186)) % 1.71/1.93 (step @p4670 :rule nary_cong :premises (@p3164 @p4669) :args (@t5187)) % 1.71/1.93 (step @p4671 :rule cong :premises (@p4670) :args ((forall @t1138 @t5187))) % 1.71/1.93 (step @p4672 :rule trans :premises (@p4671 @p4668)) % 1.71/1.93 (step @p4673 :rule bool-impl-elim :args (@t1137 @t5186)) % 1.71/1.93 (step @p4674 :rule cong :premises (@p4673) :args ((forall @t1138 (=> @t1137 @t5186)))) % 1.71/1.93 (step @p4675 :rule trans :premises (@p4674 @p4672)) % 1.71/1.93 (step @p4676 :rule aci_norm :args ((= (and @t5155 true) @t5155))) % 1.71/1.93 (step @p4677 :rule refl :args (@t5155)) % 1.71/1.93 (step @p4678 :rule nary_cong :premises (@p4677 @p1657) :args (@t5188)) % 1.71/1.93 (step @p4679 :rule trans :premises (@p4678 @p4676)) % 1.71/1.93 (step @p4680 :rule aci_norm :args ((= (and @t2747 true) @t2747))) % 1.71/1.93 (step @p4681 :rule refl :args (@t2747)) % 1.71/1.93 (step @p4682 :rule nary_cong :premises (@p4681 @p1657) :args (@t5189)) % 1.71/1.93 (step @p4683 :rule trans :premises (@p4682 @p4680)) % 1.71/1.93 (step @p4684 :rule refl :args (@t5154)) % 1.71/1.93 (step @p4685 :rule refl :args (@t2357)) % 1.71/1.93 (step @p4686 :rule nary_cong :premises (@p4685 @p4684 @p4683 @p4679) :args (@t5190)) % 1.71/1.93 (step @p4687 :rule aci_norm :args ((= @t5191 @t5190))) % 1.71/1.93 (step @p4688 :rule trans :premises (@p4687 @p4686)) % 1.71/1.93 (step @p4689 :rule cong :premises (@p4688) :args ((forall @t9 @t5191))) % 1.71/1.93 (step @p4690 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t2357 @t5154 @t5193 @t5192 @t173)) @t5191))) % 1.71/1.93 (step @p4691 :rule refl :args (@t5192)) % 1.71/1.93 (step @p4692 :rule refl :args (@t5193)) % 1.71/1.93 (step @p4693 :rule refl :args (@t5154)) % 1.71/1.93 (step @p4694 :rule nary_cong :premises (@p1677 @p1601 @p4693 @p4692 @p4691 @p1669) :args (@t5194)) % 1.71/1.93 (step @p4695 :rule aci_norm :args ((= @t5195 @t5194))) % 1.71/1.93 (step @p4696 :rule trans :premises (@p4695 @p4694)) % 1.71/1.93 (step @p4697 :rule cong :premises (@p4696) :args (@t5196)) % 1.71/1.93 (step @p4698 :rule trans :premises (@p4697 @p4690)) % 1.71/1.93 (step @p4699 :rule cong :premises (@p4698) :args (@t5197)) % 1.71/1.93 (step @p4700 :rule quant-merge-prenex :args ((= @t5197 @t5199))) % 1.71/1.93 (step @p4701 :rule symm :premises (@p4700)) % 1.71/1.93 (step @p4702 :rule quant_var_reordering :args ((= (forall @t176 @t5195) @t5199))) % 1.71/1.93 (step @p4703 :rule trans :premises (@p4702 @p4701 @p4699)) % 1.71/1.93 (step @p4704 :rule trans :premises (@p4703 @p4689)) % 1.71/1.93 (step @p4705 :rule nary_cong :premises (@p4601 @p1684) :args (@t5200)) % 1.71/1.93 (step @p4706 :rule nary_cong :premises (@p4606 @p1684) :args (@t5201)) % 1.71/1.93 (step @p4707 :rule nary_cong :premises (@p1615 @p4596 @p4706 @p4705 @p1669) :args (@t5202)) % 1.71/1.93 (step @p4708 :rule cong :premises (@p4707) :args ((forall @t176 @t5202))) % 1.71/1.93 (step @p4709 :rule trans :premises (@p4708 @p4704)) % 1.71/1.93 (step @p4710 :rule aci_norm :args ((= (or @t197 @t5203) @t5202))) % 1.71/1.93 (step @p4711 :rule aci_norm :args ((= (or @t1327 @t5204) @t5203))) % 1.71/1.93 (step @p4712 :rule aci_norm :args ((= (or @t5201 (or @t5200 @t173)) @t5204))) % 1.71/1.93 (step @p4713 :rule bool-implies-de-morgan :args (@t1169 @t173)) % 1.71/1.93 (step @p4714 :rule nary_cong :premises (@p4713 @p1669) :args ((or (not @t1403) @t173))) % 1.71/1.93 (step @p4715 :rule bool-impl-elim :args (@t1403 @t173)) % 1.71/1.93 (step @p4716 :rule trans :premises (@p4715 @p4714)) % 1.71/1.93 (step @p4717 :rule bool-implies-de-morgan :args (@t696 @t173)) % 1.71/1.93 (step @p4718 :rule nary_cong :premises (@p4717 @p4716) :args ((or (not @t1405) @t1404))) % 1.71/1.93 (step @p4719 :rule trans :premises (@p4718 @p4712)) % 1.71/1.93 (step @p4720 :rule bool-impl-elim :args (@t1405 @t1404)) % 1.71/1.93 (step @p4721 :rule trans :premises (@p4720 @p4719)) % 1.71/1.93 (step @p4722 :rule nary_cong :premises (@p4611 @p4721) :args ((or @t1327 @t1406))) % 1.71/1.93 (step @p4723 :rule trans :premises (@p4722 @p4711)) % 1.71/1.93 (step @p4724 :rule bool-impl-elim :args (@t1326 @t1406)) % 1.71/1.93 (step @p4725 :rule trans :premises (@p4724 @p4723)) % 1.71/1.93 (step @p4726 :rule nary_cong :premises (@p4095 @p4725) :args ((or @t197 @t1407))) % 1.71/1.93 (step @p4727 :rule trans :premises (@p4726 @p4710)) % 1.71/1.93 (step @p4728 :rule bool-impl-elim :args (@t7 @t1407)) % 1.71/1.93 (step @p4729 :rule trans :premises (@p4728 @p4727)) % 1.71/1.93 (step @p4730 :rule cong :premises (@p4729) :args (@t1408)) % 1.71/1.93 (step @p4731 :rule trans :premises (@p4730 @p4709)) % 1.71/1.93 (step @p4732 :rule cong :premises (@p3355 @p4731) :args (@t1409)) % 1.71/1.93 (step @p4733 :rule cong :premises (@p4732) :args (@t1410)) % 1.71/1.93 (step @p4734 :rule trans :premises (@p4733 @p4675)) % 1.71/1.93 (step @p4735 :rule cong :premises (@p3170 @p4734) :args (@t1411)) % 1.71/1.93 (step @p4736 :rule cong :premises (@p4735) :args (@t1412)) % 1.71/1.93 (step @p4737 :rule trans :premises (@p4736 @p4657)) % 1.71/1.93 (step @p4738 :rule refl :args (tptp.binunionTE)) % 1.71/1.93 (step @p4739 :rule cong :premises (@p4738 @p4737) :args (@t1413)) % 1.71/1.93 (step @p4740 :rule eq_resolve :premises (@p263 @p4739)) % 1.71/1.93 (step @p4741 :rule cong :premises (@p4740 @p4639) :args (@t5205)) % 1.71/1.93 (step @p4742 :rule refl :args (tptp.inComplementUnionImpInComplement1)) % 1.71/1.93 (step @p4743 :rule cong :premises (@p4742 @p4543) :args (@t1402)) % 1.71/1.93 (step @p4744 :rule eq_resolve :premises (@p262 @p4743)) % 1.71/1.93 (step @p4745 :rule cong :premises (@p4744 @p4741) :args (@t5206)) % 1.71/1.93 (step @p4746 :rule aci_norm :args ((= @t5208 @t2585))) % 1.71/1.93 (step @p4747 :rule cong :premises (@p4746) :args (@t5209)) % 1.71/1.93 (step @p4748 :rule quant-merge-prenex :args ((= (forall @t1142 @t5211) @t5209))) % 1.71/1.93 (step @p4749 :rule alpha_equiv :args (@t5212 (@list @t2581 @t2579) (@list @t1132 @t5213))) % 1.71/1.93 (step @p4750 :rule nary_cong :premises (@p3075 @p4749) :args (@t5214)) % 1.71/1.93 (step @p4751 :rule quant-miniscope-or :args ((= @t5211 @t5214))) % 1.71/1.93 (step @p4752 :rule trans :premises (@p4751 @p4750)) % 1.71/1.93 (step @p4753 :rule symm :premises (@p4752)) % 1.71/1.93 (step @p4754 :rule cong :premises (@p4753) :args ((forall @t1142 (or @t2416 @t5220)))) % 1.71/1.93 (step @p4755 :rule trans :premises (@p4754 @p4748)) % 1.71/1.93 (step @p4756 :rule trans :premises (@p4755 @p4747)) % 1.71/1.93 (step @p4757 :rule refl :args (@t5220)) % 1.71/1.93 (step @p4758 :rule nary_cong :premises (@p3101 @p4757) :args (@t5221)) % 1.71/1.93 (step @p4759 :rule cong :premises (@p4758) :args ((forall @t1142 @t5221))) % 1.71/1.93 (step @p4760 :rule trans :premises (@p4759 @p4756)) % 1.71/1.93 (step @p4761 :rule bool-impl-elim :args (@t1140 @t5220)) % 1.71/1.93 (step @p4762 :rule cong :premises (@p4761) :args ((forall @t1142 (=> @t1140 @t5220)))) % 1.71/1.93 (step @p4763 :rule trans :premises (@p4762 @p4760)) % 1.71/1.93 (step @p4764 :rule aci_norm :args ((= @t5223 @t5218))) % 1.71/1.93 (step @p4765 :rule cong :premises (@p4764) :args (@t5224)) % 1.71/1.93 (step @p4766 :rule quant-merge-prenex :args ((= (forall @t1138 @t5226) @t5224))) % 1.71/1.93 (step @p4767 :rule alpha_equiv :args (@t5227 (@list @t5213) @t3867)) % 1.71/1.93 (step @p4768 :rule nary_cong :premises (@p3272 @p4767) :args (@t5228)) % 1.71/1.93 (step @p4769 :rule quant-miniscope-or :args ((= @t5226 @t5228))) % 1.71/1.93 (step @p4770 :rule trans :premises (@p4769 @p4768)) % 1.71/1.93 (step @p4771 :rule symm :premises (@p4770)) % 1.71/1.93 (step @p4772 :rule cong :premises (@p4771) :args ((forall @t1138 (or @t4605 @t5229)))) % 1.71/1.93 (step @p4773 :rule trans :premises (@p4772 @p4766)) % 1.71/1.93 (step @p4774 :rule trans :premises (@p4773 @p4765)) % 1.71/1.93 (step @p4775 :rule refl :args (@t5229)) % 1.71/1.93 (step @p4776 :rule nary_cong :premises (@p3164 @p4775) :args (@t5230)) % 1.71/1.93 (step @p4777 :rule cong :premises (@p4776) :args ((forall @t1138 @t5230))) % 1.71/1.93 (step @p4778 :rule trans :premises (@p4777 @p4774)) % 1.71/1.93 (step @p4779 :rule bool-impl-elim :args (@t1137 @t5229)) % 1.71/1.93 (step @p4780 :rule cong :premises (@p4779) :args ((forall @t1138 (=> @t1137 @t5229)))) % 1.71/1.93 (step @p4781 :rule trans :premises (@p4780 @p4778)) % 1.71/1.93 (step @p4782 :rule cong :premises (@p4606) :args (@t1218)) % 1.71/1.93 (step @p4783 :rule nary_cong :premises (@p1615 @p4232 @p4782) :args (@t5231)) % 1.71/1.93 (step @p4784 :rule cong :premises (@p4783) :args ((forall @t9 @t5231))) % 1.71/1.93 (step @p4785 :rule aci_norm :args ((= (or @t197 (or @t5006 @t1218)) @t5231))) % 1.71/1.93 (step @p4786 :rule bool-impl-elim :args (@t1388 @t1218)) % 1.71/1.93 (step @p4787 :rule nary_cong :premises (@p4095 @p4786) :args ((or @t197 @t1389))) % 1.71/1.93 (step @p4788 :rule trans :premises (@p4787 @p4785)) % 1.71/1.93 (step @p4789 :rule bool-impl-elim :args (@t7 @t1389)) % 1.71/1.93 (step @p4790 :rule trans :premises (@p4789 @p4788)) % 1.71/1.93 (step @p4791 :rule cong :premises (@p4790) :args (@t1390)) % 1.71/1.93 (step @p4792 :rule trans :premises (@p4791 @p4784)) % 1.71/1.93 (step @p4793 :rule cong :premises (@p3355 @p4792) :args (@t1391)) % 1.71/1.93 (step @p4794 :rule cong :premises (@p4793) :args (@t1392)) % 1.71/1.93 (step @p4795 :rule trans :premises (@p4794 @p4781)) % 1.71/1.93 (step @p4796 :rule cong :premises (@p3170 @p4795) :args (@t1393)) % 1.71/1.93 (step @p4797 :rule cong :premises (@p4796) :args (@t1394)) % 1.71/1.93 (step @p4798 :rule trans :premises (@p4797 @p4763)) % 1.71/1.93 (step @p4799 :rule refl :args (tptp.inComplementUnionImpNotIn1)) % 1.71/1.93 (step @p4800 :rule cong :premises (@p4799 @p4798) :args (@t1395)) % 1.71/1.93 (step @p4801 :rule eq_resolve :premises (@p261 @p4800)) % 1.71/1.93 (step @p4802 :rule cong :premises (@p4801 @p4745) :args (@t5232)) % 1.71/1.93 (step @p4803 :rule refl :args (tptp.intersectInPowersetIntersectUnions)) % 1.71/1.93 (step @p4804 :rule cong :premises (@p4803 @p3361) :args (@t1386)) % 1.71/1.93 (step @p4805 :rule eq_resolve :premises (@p260 @p4804)) % 1.71/1.93 (step @p4806 :rule cong :premises (@p4805 @p4802) :args (@t5233)) % 1.71/1.93 (step @p4807 :rule aci_norm :args ((= @t5235 @t2595))) % 1.71/1.93 (step @p4808 :rule cong :premises (@p4807) :args (@t5236)) % 1.71/1.93 (step @p4809 :rule quant-merge-prenex :args ((= (forall @t1142 @t5238) @t5236))) % 1.71/1.93 (step @p4810 :rule alpha_equiv :args (@t5239 (@list @t2588 @t2587 @t2589) (@list @t1132 @t5241 @t5240))) % 1.71/1.93 (step @p4811 :rule nary_cong :premises (@p3075 @p4810) :args (@t5242)) % 1.71/1.93 (step @p4812 :rule quant-miniscope-or :args ((= @t5238 @t5242))) % 1.71/1.93 (step @p4813 :rule trans :premises (@p4812 @p4811)) % 1.71/1.93 (step @p4814 :rule symm :premises (@p4813)) % 1.71/1.93 (step @p4815 :rule cong :premises (@p4814) :args ((forall @t1142 (or @t2416 @t5249)))) % 1.71/1.93 (step @p4816 :rule trans :premises (@p4815 @p4809)) % 1.71/1.93 (step @p4817 :rule trans :premises (@p4816 @p4808)) % 1.71/1.93 (step @p4818 :rule refl :args (@t5249)) % 1.71/1.93 (step @p4819 :rule nary_cong :premises (@p3101 @p4818) :args (@t5250)) % 1.71/1.93 (step @p4820 :rule cong :premises (@p4819) :args ((forall @t1142 @t5250))) % 1.71/1.93 (step @p4821 :rule trans :premises (@p4820 @p4817)) % 1.71/1.93 (step @p4822 :rule bool-impl-elim :args (@t1140 @t5249)) % 1.71/1.93 (step @p4823 :rule cong :premises (@p4822) :args ((forall @t1142 (=> @t1140 @t5249)))) % 1.71/1.93 (step @p4824 :rule trans :premises (@p4823 @p4821)) % 1.71/1.93 (step @p4825 :rule aci_norm :args ((= @t5252 @t5247))) % 1.71/1.93 (step @p4826 :rule cong :premises (@p4825) :args (@t5253)) % 1.71/1.93 (step @p4827 :rule quant-merge-prenex :args ((= (forall @t1138 @t5255) @t5253))) % 1.71/1.93 (step @p4828 :rule alpha_equiv :args (@t5256 (@list @t5241 @t5240) (@list @t1342 @t5257))) % 1.71/1.93 (step @p4829 :rule nary_cong :premises (@p3272 @p4828) :args (@t5258)) % 1.71/1.93 (step @p4830 :rule quant-miniscope-or :args ((= @t5255 @t5258))) % 1.71/1.93 (step @p4831 :rule trans :premises (@p4830 @p4829)) % 1.71/1.93 (step @p4832 :rule symm :premises (@p4831)) % 1.71/1.93 (step @p4833 :rule cong :premises (@p4832) :args ((forall @t1138 (or @t4605 @t5264)))) % 1.71/1.93 (step @p4834 :rule trans :premises (@p4833 @p4827)) % 1.71/1.93 (step @p4835 :rule trans :premises (@p4834 @p4826)) % 1.71/1.93 (step @p4836 :rule refl :args (@t5264)) % 1.71/1.93 (step @p4837 :rule nary_cong :premises (@p3164 @p4836) :args (@t5265)) % 1.71/1.93 (step @p4838 :rule cong :premises (@p4837) :args ((forall @t1138 @t5265))) % 1.71/1.93 (step @p4839 :rule trans :premises (@p4838 @p4835)) % 1.71/1.93 (step @p4840 :rule bool-impl-elim :args (@t1137 @t5264)) % 1.71/1.93 (step @p4841 :rule cong :premises (@p4840) :args ((forall @t1138 (=> @t1137 @t5264)))) % 1.71/1.93 (step @p4842 :rule trans :premises (@p4841 @p4839)) % 1.71/1.93 (step @p4843 :rule aci_norm :args ((= @t5267 @t5262))) % 1.71/1.93 (step @p4844 :rule cong :premises (@p4843) :args (@t5268)) % 1.71/1.93 (step @p4845 :rule quant-merge-prenex :args ((= (forall @t1350 @t5270) @t5268))) % 1.71/1.93 (step @p4846 :rule alpha_equiv :args (@t5271 (@list @t5257) @t3867)) % 1.71/1.93 (step @p4847 :rule nary_cong :premises (@p3408 @p4846) :args (@t5272)) % 1.71/1.93 (step @p4848 :rule quant-miniscope-or :args ((= @t5270 @t5272))) % 1.71/1.93 (step @p4849 :rule trans :premises (@p4848 @p4847)) % 1.71/1.93 (step @p4850 :rule symm :premises (@p4849)) % 1.71/1.93 (step @p4851 :rule cong :premises (@p4850) :args ((forall @t1350 (or @t4657 @t5274)))) % 1.71/1.93 (step @p4852 :rule trans :premises (@p4851 @p4845)) % 1.71/1.93 (step @p4853 :rule trans :premises (@p4852 @p4844)) % 1.71/1.93 (step @p4854 :rule refl :args (@t5274)) % 1.71/1.93 (step @p4855 :rule nary_cong :premises (@p3349 @p4854) :args (@t5275)) % 1.71/1.93 (step @p4856 :rule cong :premises (@p4855) :args ((forall @t1350 @t5275))) % 1.71/1.93 (step @p4857 :rule trans :premises (@p4856 @p4853)) % 1.71/1.93 (step @p4858 :rule bool-impl-elim :args (@t1348 @t5274)) % 1.71/1.93 (step @p4859 :rule cong :premises (@p4858) :args ((forall @t1350 (=> @t1348 @t5274)))) % 1.71/1.93 (step @p4860 :rule trans :premises (@p4859 @p4857)) % 1.71/1.93 (step @p4861 :rule refl :args ((tptp.in @t4 @t1368))) % 1.71/1.93 (step @p4862 :rule cong :premises (@p976 @p3293) :args (@t5273)) % 1.71/1.93 (step @p4863 :rule trans :premises (@p4862 @p4861)) % 1.71/1.93 (step @p4864 :rule ho_cong :premises (@p979 @p3293)) % 1.71/1.93 (step @p4865 :rule cong :premises (@p4864 @p4863) :args ((= (_ @t5 @t4653) @t5273))) % 1.71/1.93 (step @p4866 :rule symm :premises (@p4865)) % 1.71/1.93 (step @p4867 :rule refl :args (@t1369)) % 1.71/1.93 (step @p4868 :rule eq_resolve :premises (@p4867 @p4866)) % 1.71/1.93 (step @p4869 :rule ho_cong :premises (@p979 @p3327)) % 1.71/1.93 (step @p4870 :rule trans :premises (@p4869 @p4868)) % 1.71/1.93 (step @p4871 :rule nary_cong :premises (@p1615 @p3987 @p4870) :args (@t5276)) % 1.71/1.93 (step @p4872 :rule cong :premises (@p4871) :args ((forall @t9 @t5276))) % 1.71/1.93 (step @p4873 :rule aci_norm :args ((= (or @t197 (or @t1217 @t1369)) @t5276))) % 1.71/1.93 (step @p4874 :rule bool-impl-elim :args (@t1216 @t1369)) % 1.71/1.93 (step @p4875 :rule nary_cong :premises (@p4095 @p4874) :args ((or @t197 @t1370))) % 1.71/1.93 (step @p4876 :rule trans :premises (@p4875 @p4873)) % 1.71/1.93 (step @p4877 :rule bool-impl-elim :args (@t7 @t1370)) % 1.71/1.93 (step @p4878 :rule trans :premises (@p4877 @p4876)) % 1.71/1.93 (step @p4879 :rule cong :premises (@p4878) :args (@t1371)) % 1.71/1.93 (step @p4880 :rule trans :premises (@p4879 @p4872)) % 1.71/1.93 (step @p4881 :rule cong :premises (@p3515 @p4880) :args (@t1372)) % 1.71/1.93 (step @p4882 :rule cong :premises (@p4881) :args (@t1373)) % 1.71/1.93 (step @p4883 :rule trans :premises (@p4882 @p4860)) % 1.71/1.93 (step @p4884 :rule cong :premises (@p3355 @p4883) :args (@t1374)) % 1.71/1.93 (step @p4885 :rule cong :premises (@p4884) :args (@t1375)) % 1.71/1.93 (step @p4886 :rule trans :premises (@p4885 @p4842)) % 1.71/1.93 (step @p4887 :rule cong :premises (@p3170 @p4886) :args (@t1376)) % 1.71/1.93 (step @p4888 :rule cong :premises (@p4887) :args (@t1377)) % 1.71/1.93 (step @p4889 :rule trans :premises (@p4888 @p4824)) % 1.71/1.93 (step @p4890 :rule refl :args (tptp.inIntersectImpInIntersectUnions)) % 1.71/1.93 (step @p4891 :rule cong :premises (@p4890 @p4889) :args (@t1378)) % 1.71/1.93 (step @p4892 :rule eq_resolve :premises (@p259 @p4891)) % 1.71/1.93 (step @p4893 :rule cong :premises (@p4892 @p4806) :args (@t5277)) % 1.71/1.93 (step @p4894 :rule aci_norm :args ((= @t5279 @t2605))) % 1.71/1.93 (step @p4895 :rule cong :premises (@p4894) :args (@t5280)) % 1.71/1.93 (step @p4896 :rule quant-merge-prenex :args ((= (forall @t1142 @t5282) @t5280))) % 1.71/1.93 (step @p4897 :rule alpha_equiv :args (@t5283 (@list @t2598 @t2597 @t2599) (@list @t1132 @t5285 @t5284))) % 1.71/1.93 (step @p4898 :rule nary_cong :premises (@p3075 @p4897) :args (@t5286)) % 1.71/1.93 (step @p4899 :rule quant-miniscope-or :args ((= @t5282 @t5286))) % 1.71/1.93 (step @p4900 :rule trans :premises (@p4899 @p4898)) % 1.71/1.93 (step @p4901 :rule symm :premises (@p4900)) % 1.71/1.93 (step @p4902 :rule cong :premises (@p4901) :args ((forall @t1142 (or @t2416 @t5293)))) % 1.71/1.93 (step @p4903 :rule trans :premises (@p4902 @p4896)) % 1.71/1.93 (step @p4904 :rule trans :premises (@p4903 @p4895)) % 1.71/1.93 (step @p4905 :rule refl :args (@t5293)) % 1.71/1.93 (step @p4906 :rule nary_cong :premises (@p3101 @p4905) :args (@t5294)) % 1.71/1.93 (step @p4907 :rule cong :premises (@p4906) :args ((forall @t1142 @t5294))) % 1.71/1.93 (step @p4908 :rule trans :premises (@p4907 @p4904)) % 1.71/1.93 (step @p4909 :rule bool-impl-elim :args (@t1140 @t5293)) % 1.71/1.93 (step @p4910 :rule cong :premises (@p4909) :args ((forall @t1142 (=> @t1140 @t5293)))) % 1.71/1.93 (step @p4911 :rule trans :premises (@p4910 @p4908)) % 1.71/1.93 (step @p4912 :rule aci_norm :args ((= @t5296 @t5291))) % 1.71/1.93 (step @p4913 :rule cong :premises (@p4912) :args (@t5297)) % 1.71/1.93 (step @p4914 :rule quant-merge-prenex :args ((= (forall @t1138 @t5299) @t5297))) % 1.71/1.93 (step @p4915 :rule alpha_equiv :args (@t5300 (@list @t5285 @t5284) (@list @t1342 @t5301))) % 1.71/1.93 (step @p4916 :rule nary_cong :premises (@p3272 @p4915) :args (@t5302)) % 1.71/1.93 (step @p4917 :rule quant-miniscope-or :args ((= @t5299 @t5302))) % 1.71/1.93 (step @p4918 :rule trans :premises (@p4917 @p4916)) % 1.71/1.93 (step @p4919 :rule symm :premises (@p4918)) % 1.71/1.93 (step @p4920 :rule cong :premises (@p4919) :args ((forall @t1138 (or @t4605 @t5308)))) % 1.71/1.93 (step @p4921 :rule trans :premises (@p4920 @p4914)) % 1.71/1.93 (step @p4922 :rule trans :premises (@p4921 @p4913)) % 1.71/1.93 (step @p4923 :rule refl :args (@t5308)) % 1.71/1.93 (step @p4924 :rule nary_cong :premises (@p3164 @p4923) :args (@t5309)) % 1.71/1.93 (step @p4925 :rule cong :premises (@p4924) :args ((forall @t1138 @t5309))) % 1.71/1.93 (step @p4926 :rule trans :premises (@p4925 @p4922)) % 1.71/1.93 (step @p4927 :rule bool-impl-elim :args (@t1137 @t5308)) % 1.71/1.93 (step @p4928 :rule cong :premises (@p4927) :args ((forall @t1138 (=> @t1137 @t5308)))) % 1.71/1.93 (step @p4929 :rule trans :premises (@p4928 @p4926)) % 1.71/1.93 (step @p4930 :rule aci_norm :args ((= @t5311 @t5306))) % 1.71/1.93 (step @p4931 :rule cong :premises (@p4930) :args (@t5312)) % 1.71/1.93 (step @p4932 :rule quant-merge-prenex :args ((= (forall @t1350 @t5314) @t5312))) % 1.71/1.93 (step @p4933 :rule alpha_equiv :args (@t5315 (@list @t5301) @t3867)) % 1.71/1.93 (step @p4934 :rule nary_cong :premises (@p3408 @p4933) :args (@t5316)) % 1.71/1.93 (step @p4935 :rule quant-miniscope-or :args ((= @t5314 @t5316))) % 1.71/1.93 (step @p4936 :rule trans :premises (@p4935 @p4934)) % 1.71/1.93 (step @p4937 :rule symm :premises (@p4936)) % 1.71/1.93 (step @p4938 :rule cong :premises (@p4937) :args ((forall @t1350 (or @t4657 @t5318)))) % 1.71/1.93 (step @p4939 :rule trans :premises (@p4938 @p4932)) % 1.71/1.93 (step @p4940 :rule trans :premises (@p4939 @p4931)) % 1.71/1.93 (step @p4941 :rule refl :args (@t5318)) % 1.71/1.93 (step @p4942 :rule nary_cong :premises (@p3349 @p4941) :args (@t5319)) % 1.71/1.93 (step @p4943 :rule cong :premises (@p4942) :args ((forall @t1350 @t5319))) % 1.71/1.93 (step @p4944 :rule trans :premises (@p4943 @p4940)) % 1.71/1.93 (step @p4945 :rule bool-impl-elim :args (@t1348 @t5318)) % 1.71/1.93 (step @p4946 :rule cong :premises (@p4945) :args ((forall @t1350 (=> @t1348 @t5318)))) % 1.71/1.93 (step @p4947 :rule trans :premises (@p4946 @p4944)) % 1.71/1.93 (step @p4948 :rule refl :args ((tptp.in @t4 @t1357))) % 1.71/1.93 (step @p4949 :rule cong :premises (@p976 @p3290) :args (@t5317)) % 1.71/1.93 (step @p4950 :rule trans :premises (@p4949 @p4948)) % 1.71/1.93 (step @p4951 :rule ho_cong :premises (@p979 @p3290)) % 1.71/1.93 (step @p4952 :rule cong :premises (@p4951 @p4950) :args ((= (_ @t5 @t4651) @t5317))) % 1.71/1.93 (step @p4953 :rule symm :premises (@p4952)) % 1.71/1.93 (step @p4954 :rule refl :args (@t1358)) % 1.71/1.93 (step @p4955 :rule eq_resolve :premises (@p4954 @p4953)) % 1.71/1.93 (step @p4956 :rule ho_cong :premises (@p979 @p3320)) % 1.71/1.93 (step @p4957 :rule trans :premises (@p4956 @p4955)) % 1.71/1.93 (step @p4958 :rule nary_cong :premises (@p1615 @p3987 @p4957) :args (@t5320)) % 1.71/1.93 (step @p4959 :rule cong :premises (@p4958) :args ((forall @t9 @t5320))) % 1.71/1.93 (step @p4960 :rule aci_norm :args ((= (or @t197 (or @t1217 @t1358)) @t5320))) % 1.71/1.93 (step @p4961 :rule bool-impl-elim :args (@t1216 @t1358)) % 1.71/1.93 (step @p4962 :rule nary_cong :premises (@p4095 @p4961) :args ((or @t197 @t1359))) % 1.71/1.93 (step @p4963 :rule trans :premises (@p4962 @p4960)) % 1.71/1.93 (step @p4964 :rule bool-impl-elim :args (@t7 @t1359)) % 1.71/1.93 (step @p4965 :rule trans :premises (@p4964 @p4963)) % 1.71/1.93 (step @p4966 :rule cong :premises (@p4965) :args (@t1360)) % 1.71/1.93 (step @p4967 :rule trans :premises (@p4966 @p4959)) % 1.71/1.93 (step @p4968 :rule cong :premises (@p3515 @p4967) :args (@t1361)) % 1.71/1.93 (step @p4969 :rule cong :premises (@p4968) :args (@t1362)) % 1.71/1.93 (step @p4970 :rule trans :premises (@p4969 @p4947)) % 1.71/1.93 (step @p4971 :rule cong :premises (@p3355 @p4970) :args (@t1363)) % 1.71/1.93 (step @p4972 :rule cong :premises (@p4971) :args (@t1364)) % 1.71/1.93 (step @p4973 :rule trans :premises (@p4972 @p4929)) % 1.71/1.93 (step @p4974 :rule cong :premises (@p3170 @p4973) :args (@t1365)) % 1.71/1.93 (step @p4975 :rule cong :premises (@p4974) :args (@t1366)) % 1.71/1.93 (step @p4976 :rule trans :premises (@p4975 @p4911)) % 1.71/1.93 (step @p4977 :rule refl :args (tptp.inIntersectImpInUnion2)) % 1.71/1.93 (step @p4978 :rule cong :premises (@p4977 @p4976) :args (@t1367)) % 1.71/1.93 (step @p4979 :rule eq_resolve :premises (@p258 @p4978)) % 1.71/1.93 (step @p4980 :rule cong :premises (@p4979 @p4893) :args (@t5321)) % 1.71/1.93 (step @p4981 :rule aci_norm :args ((= @t5323 @t2615))) % 1.71/1.93 (step @p4982 :rule cong :premises (@p4981) :args (@t5324)) % 1.71/1.93 (step @p4983 :rule quant-merge-prenex :args ((= (forall @t1142 @t5326) @t5324))) % 1.71/1.93 (step @p4984 :rule alpha_equiv :args (@t5327 (@list @t2610 @t2607 @t2608) (@list @t1132 @t5329 @t5328))) % 1.71/1.93 (step @p4985 :rule nary_cong :premises (@p3075 @p4984) :args (@t5330)) % 1.71/1.93 (step @p4986 :rule quant-miniscope-or :args ((= @t5326 @t5330))) % 1.71/1.93 (step @p4987 :rule trans :premises (@p4986 @p4985)) % 1.71/1.93 (step @p4988 :rule symm :premises (@p4987)) % 1.71/1.93 (step @p4989 :rule cong :premises (@p4988) :args ((forall @t1142 (or @t2416 @t5337)))) % 1.71/1.93 (step @p4990 :rule trans :premises (@p4989 @p4983)) % 1.71/1.93 (step @p4991 :rule trans :premises (@p4990 @p4982)) % 1.71/1.93 (step @p4992 :rule refl :args (@t5337)) % 1.71/1.93 (step @p4993 :rule nary_cong :premises (@p3101 @p4992) :args (@t5338)) % 1.71/1.93 (step @p4994 :rule cong :premises (@p4993) :args ((forall @t1142 @t5338))) % 1.71/1.93 (step @p4995 :rule trans :premises (@p4994 @p4991)) % 1.71/1.93 (step @p4996 :rule bool-impl-elim :args (@t1140 @t5337)) % 1.71/1.93 (step @p4997 :rule cong :premises (@p4996) :args ((forall @t1142 (=> @t1140 @t5337)))) % 1.71/1.93 (step @p4998 :rule trans :premises (@p4997 @p4995)) % 1.71/1.93 (step @p4999 :rule aci_norm :args ((= @t5340 @t5335))) % 1.71/1.93 (step @p5000 :rule cong :premises (@p4999) :args (@t5341)) % 1.71/1.93 (step @p5001 :rule quant-merge-prenex :args ((= (forall @t1138 @t5343) @t5341))) % 1.71/1.93 (step @p5002 :rule alpha_equiv :args (@t5344 (@list @t5329 @t5328) (@list @t1342 @t5345))) % 1.71/1.93 (step @p5003 :rule nary_cong :premises (@p3272 @p5002) :args (@t5346)) % 1.71/1.93 (step @p5004 :rule quant-miniscope-or :args ((= @t5343 @t5346))) % 1.71/1.93 (step @p5005 :rule trans :premises (@p5004 @p5003)) % 1.71/1.93 (step @p5006 :rule symm :premises (@p5005)) % 1.71/1.93 (step @p5007 :rule cong :premises (@p5006) :args ((forall @t1138 (or @t4605 @t5352)))) % 1.71/1.93 (step @p5008 :rule trans :premises (@p5007 @p5001)) % 1.71/1.93 (step @p5009 :rule trans :premises (@p5008 @p5000)) % 1.71/1.93 (step @p5010 :rule refl :args (@t5352)) % 1.71/1.93 (step @p5011 :rule nary_cong :premises (@p3164 @p5010) :args (@t5353)) % 1.71/1.93 (step @p5012 :rule cong :premises (@p5011) :args ((forall @t1138 @t5353))) % 1.71/1.93 (step @p5013 :rule trans :premises (@p5012 @p5009)) % 1.71/1.93 (step @p5014 :rule bool-impl-elim :args (@t1137 @t5352)) % 1.71/1.93 (step @p5015 :rule cong :premises (@p5014) :args ((forall @t1138 (=> @t1137 @t5352)))) % 1.71/1.93 (step @p5016 :rule trans :premises (@p5015 @p5013)) % 1.71/1.93 (step @p5017 :rule aci_norm :args ((= @t5355 @t5350))) % 1.71/1.93 (step @p5018 :rule cong :premises (@p5017) :args (@t5356)) % 1.71/1.93 (step @p5019 :rule quant-merge-prenex :args ((= (forall @t1350 @t5358) @t5356))) % 1.71/1.93 (step @p5020 :rule alpha_equiv :args (@t5359 (@list @t5345) @t3867)) % 1.71/1.93 (step @p5021 :rule nary_cong :premises (@p3408 @p5020) :args (@t5360)) % 1.71/1.93 (step @p5022 :rule quant-miniscope-or :args ((= @t5358 @t5360))) % 1.71/1.93 (step @p5023 :rule trans :premises (@p5022 @p5021)) % 1.71/1.93 (step @p5024 :rule symm :premises (@p5023)) % 1.71/1.93 (step @p5025 :rule cong :premises (@p5024) :args ((forall @t1350 (or @t4657 @t5362)))) % 1.71/1.93 (step @p5026 :rule trans :premises (@p5025 @p5019)) % 1.71/1.93 (step @p5027 :rule trans :premises (@p5026 @p5018)) % 1.71/1.93 (step @p5028 :rule refl :args (@t5362)) % 1.71/1.93 (step @p5029 :rule nary_cong :premises (@p3349 @p5028) :args (@t5363)) % 1.71/1.93 (step @p5030 :rule cong :premises (@p5029) :args ((forall @t1350 @t5363))) % 1.71/1.93 (step @p5031 :rule trans :premises (@p5030 @p5027)) % 1.71/1.93 (step @p5032 :rule bool-impl-elim :args (@t1348 @t5362)) % 1.71/1.93 (step @p5033 :rule cong :premises (@p5032) :args ((forall @t1350 (=> @t1348 @t5362)))) % 1.71/1.93 (step @p5034 :rule trans :premises (@p5033 @p5031)) % 1.71/1.93 (step @p5035 :rule refl :args ((tptp.in @t4 @t1343))) % 1.71/1.93 (step @p5036 :rule cong :premises (@p976 @p3291) :args (@t5361)) % 1.71/1.93 (step @p5037 :rule trans :premises (@p5036 @p5035)) % 1.71/1.93 (step @p5038 :rule ho_cong :premises (@p979 @p3291)) % 1.71/1.93 (step @p5039 :rule cong :premises (@p5038 @p5037) :args ((= (_ @t5 @t4652) @t5361))) % 1.71/1.93 (step @p5040 :rule symm :premises (@p5039)) % 1.71/1.93 (step @p5041 :rule refl :args (@t1344)) % 1.71/1.93 (step @p5042 :rule eq_resolve :premises (@p5041 @p5040)) % 1.71/1.93 (step @p5043 :rule ho_cong :premises (@p979 @p3324)) % 1.71/1.93 (step @p5044 :rule trans :premises (@p5043 @p5042)) % 1.71/1.93 (step @p5045 :rule nary_cong :premises (@p1615 @p3987 @p5044) :args (@t5364)) % 1.71/1.93 (step @p5046 :rule cong :premises (@p5045) :args ((forall @t9 @t5364))) % 1.71/1.93 (step @p5047 :rule aci_norm :args ((= (or @t197 (or @t1217 @t1344)) @t5364))) % 1.71/1.93 (step @p5048 :rule bool-impl-elim :args (@t1216 @t1344)) % 1.71/1.93 (step @p5049 :rule nary_cong :premises (@p4095 @p5048) :args ((or @t197 @t1345))) % 1.71/1.93 (step @p5050 :rule trans :premises (@p5049 @p5047)) % 1.71/1.93 (step @p5051 :rule bool-impl-elim :args (@t7 @t1345)) % 1.71/1.93 (step @p5052 :rule trans :premises (@p5051 @p5050)) % 1.71/1.93 (step @p5053 :rule cong :premises (@p5052) :args (@t1346)) % 1.71/1.93 (step @p5054 :rule trans :premises (@p5053 @p5046)) % 1.71/1.93 (step @p5055 :rule cong :premises (@p3515 @p5054) :args (@t1349)) % 1.71/1.93 (step @p5056 :rule cong :premises (@p5055) :args (@t1351)) % 1.71/1.93 (step @p5057 :rule trans :premises (@p5056 @p5034)) % 1.71/1.93 (step @p5058 :rule cong :premises (@p3355 @p5057) :args (@t1352)) % 1.71/1.93 (step @p5059 :rule cong :premises (@p5058) :args (@t1353)) % 1.71/1.93 (step @p5060 :rule trans :premises (@p5059 @p5016)) % 1.71/1.93 (step @p5061 :rule cong :premises (@p3170 @p5060) :args (@t1354)) % 1.71/1.93 (step @p5062 :rule cong :premises (@p5061) :args (@t1355)) % 1.71/1.93 (step @p5063 :rule trans :premises (@p5062 @p4998)) % 1.71/1.93 (step @p5064 :rule refl :args (tptp.inIntersectImpInUnion)) % 1.71/1.93 (step @p5065 :rule cong :premises (@p5064 @p5063) :args (@t1356)) % 1.71/1.93 (step @p5066 :rule eq_resolve :premises (@p257 @p5065)) % 1.71/1.93 (step @p5067 :rule cong :premises (@p5066 @p4980) :args (@t5365)) % 1.71/1.93 (step @p5068 :rule aci_norm :args ((= @t5367 @t2623))) % 1.71/1.93 (step @p5069 :rule cong :premises (@p5068) :args (@t5368)) % 1.71/1.93 (step @p5070 :rule quant-merge-prenex :args ((= (forall @t1142 @t5370) @t5368))) % 1.71/1.93 (step @p5071 :rule alpha_equiv :args (@t5371 (@list @t2617 @t2618) (@list @t1132 @t5372))) % 1.71/1.93 (step @p5072 :rule nary_cong :premises (@p3075 @p5071) :args (@t5373)) % 1.71/1.93 (step @p5073 :rule quant-miniscope-or :args ((= @t5370 @t5373))) % 1.71/1.93 (step @p5074 :rule trans :premises (@p5073 @p5072)) % 1.71/1.93 (step @p5075 :rule symm :premises (@p5074)) % 1.71/1.93 (step @p5076 :rule cong :premises (@p5075) :args ((forall @t1142 (or @t2416 @t5379)))) % 1.71/1.93 (step @p5077 :rule trans :premises (@p5076 @p5070)) % 1.71/1.93 (step @p5078 :rule trans :premises (@p5077 @p5069)) % 1.71/1.93 (step @p5079 :rule refl :args (@t5379)) % 1.71/1.93 (step @p5080 :rule nary_cong :premises (@p3101 @p5079) :args (@t5380)) % 1.71/1.93 (step @p5081 :rule cong :premises (@p5080) :args ((forall @t1142 @t5380))) % 1.71/1.93 (step @p5082 :rule trans :premises (@p5081 @p5078)) % 1.71/1.93 (step @p5083 :rule bool-impl-elim :args (@t1140 @t5379)) % 1.71/1.93 (step @p5084 :rule cong :premises (@p5083) :args ((forall @t1142 (=> @t1140 @t5379)))) % 1.71/1.93 (step @p5085 :rule trans :premises (@p5084 @p5082)) % 1.71/1.93 (step @p5086 :rule aci_norm :args ((= @t5382 @t5377))) % 1.71/1.93 (step @p5087 :rule cong :premises (@p5086) :args (@t5383)) % 1.71/1.93 (step @p5088 :rule quant-merge-prenex :args ((= (forall @t1138 @t5385) @t5383))) % 1.71/1.93 (step @p5089 :rule alpha_equiv :args (@t5386 (@list @t5372) @t3867)) % 1.71/1.93 (step @p5090 :rule nary_cong :premises (@p3272 @p5089) :args (@t5387)) % 1.71/1.93 (step @p5091 :rule quant-miniscope-or :args ((= @t5385 @t5387))) % 1.71/1.93 (step @p5092 :rule trans :premises (@p5091 @p5090)) % 1.71/1.93 (step @p5093 :rule symm :premises (@p5092)) % 1.71/1.93 (step @p5094 :rule cong :premises (@p5093) :args ((forall @t1138 (or @t4605 @t5389)))) % 1.71/1.93 (step @p5095 :rule trans :premises (@p5094 @p5088)) % 1.71/1.93 (step @p5096 :rule trans :premises (@p5095 @p5087)) % 1.71/1.93 (step @p5097 :rule refl :args (@t5389)) % 1.71/1.93 (step @p5098 :rule nary_cong :premises (@p3164 @p5097) :args (@t5390)) % 1.71/1.93 (step @p5099 :rule cong :premises (@p5098) :args ((forall @t1138 @t5390))) % 1.71/1.93 (step @p5100 :rule trans :premises (@p5099 @p5096)) % 1.71/1.93 (step @p5101 :rule bool-impl-elim :args (@t1137 @t5389)) % 1.71/1.93 (step @p5102 :rule cong :premises (@p5101) :args ((forall @t1138 (=> @t1137 @t5389)))) % 1.71/1.93 (step @p5103 :rule trans :premises (@p5102 @p5100)) % 1.71/1.93 (step @p5104 :rule cong :premises (@p4601) :args (@t1226)) % 1.71/1.93 (step @p5105 :rule nary_cong :premises (@p1615 @p4595 @p5104) :args (@t5391)) % 1.71/1.93 (step @p5106 :rule cong :premises (@p5105) :args ((forall @t9 @t5391))) % 1.71/1.93 (step @p5107 :rule aci_norm :args ((= (or @t197 (or @t1326 @t1226)) @t5391))) % 1.71/1.93 (step @p5108 :rule refl :args (@t1226)) % 1.71/1.93 (step @p5109 :rule bool-double-not-elim :args (@t1326)) % 1.71/1.93 (step @p5110 :rule nary_cong :premises (@p5109 @p5108) :args ((or @t5392 @t1226))) % 1.71/1.93 (step @p5111 :rule bool-impl-elim :args (@t1327 @t1226)) % 1.71/1.93 (step @p5112 :rule trans :premises (@p5111 @p5110)) % 1.71/1.93 (step @p5113 :rule nary_cong :premises (@p4095 @p5112) :args ((or @t197 @t1335))) % 1.71/1.93 (step @p5114 :rule trans :premises (@p5113 @p5107)) % 1.71/1.93 (step @p5115 :rule bool-impl-elim :args (@t7 @t1335)) % 1.71/1.93 (step @p5116 :rule trans :premises (@p5115 @p5114)) % 1.71/1.93 (step @p5117 :rule cong :premises (@p5116) :args (@t1336)) % 1.71/1.93 (step @p5118 :rule trans :premises (@p5117 @p5106)) % 1.71/1.93 (step @p5119 :rule cong :premises (@p3355 @p5118) :args (@t1337)) % 1.71/1.93 (step @p5120 :rule cong :premises (@p5119) :args (@t1338)) % 1.71/1.93 (step @p5121 :rule trans :premises (@p5120 @p5103)) % 1.71/1.93 (step @p5122 :rule cong :premises (@p3170 @p5121) :args (@t1339)) % 1.71/1.93 (step @p5123 :rule cong :premises (@p5122) :args (@t1340)) % 1.71/1.93 (step @p5124 :rule trans :premises (@p5123 @p5085)) % 1.71/1.93 (step @p5125 :rule refl :args (tptp.binunionTIRcontra)) % 1.71/1.93 (step @p5126 :rule cong :premises (@p5125 @p5124) :args (@t1341)) % 1.71/1.93 (step @p5127 :rule eq_resolve :premises (@p256 @p5126)) % 1.71/1.93 (step @p5128 :rule cong :premises (@p5127 @p5067) :args (@t5393)) % 1.71/1.93 (step @p5129 :rule aci_norm :args ((= @t5395 @t2631))) % 1.71/1.93 (step @p5130 :rule cong :premises (@p5129) :args (@t5396)) % 1.71/1.93 (step @p5131 :rule quant-merge-prenex :args ((= (forall @t1142 @t5398) @t5396))) % 1.71/1.93 (step @p5132 :rule alpha_equiv :args (@t5399 (@list @t2627 @t2625) (@list @t1132 @t5400))) % 1.71/1.93 (step @p5133 :rule nary_cong :premises (@p3075 @p5132) :args (@t5401)) % 1.71/1.93 (step @p5134 :rule quant-miniscope-or :args ((= @t5398 @t5401))) % 1.71/1.93 (step @p5135 :rule trans :premises (@p5134 @p5133)) % 1.71/1.93 (step @p5136 :rule symm :premises (@p5135)) % 1.71/1.93 (step @p5137 :rule cong :premises (@p5136) :args ((forall @t1142 (or @t2416 @t5407)))) % 1.71/1.93 (step @p5138 :rule trans :premises (@p5137 @p5131)) % 1.71/1.93 (step @p5139 :rule trans :premises (@p5138 @p5130)) % 1.71/1.93 (step @p5140 :rule refl :args (@t5407)) % 1.71/1.93 (step @p5141 :rule nary_cong :premises (@p3101 @p5140) :args (@t5408)) % 1.71/1.93 (step @p5142 :rule cong :premises (@p5141) :args ((forall @t1142 @t5408))) % 1.71/1.93 (step @p5143 :rule trans :premises (@p5142 @p5139)) % 1.71/1.93 (step @p5144 :rule bool-impl-elim :args (@t1140 @t5407)) % 1.71/1.93 (step @p5145 :rule cong :premises (@p5144) :args ((forall @t1142 (=> @t1140 @t5407)))) % 1.71/1.93 (step @p5146 :rule trans :premises (@p5145 @p5143)) % 1.71/1.93 (step @p5147 :rule aci_norm :args ((= @t5410 @t5405))) % 1.71/1.93 (step @p5148 :rule cong :premises (@p5147) :args (@t5411)) % 1.71/1.93 (step @p5149 :rule quant-merge-prenex :args ((= (forall @t1138 @t5413) @t5411))) % 1.71/1.93 (step @p5150 :rule alpha_equiv :args (@t5414 (@list @t5400) @t3867)) % 1.71/1.93 (step @p5151 :rule nary_cong :premises (@p3272 @p5150) :args (@t5415)) % 1.71/1.93 (step @p5152 :rule quant-miniscope-or :args ((= @t5413 @t5415))) % 1.71/1.93 (step @p5153 :rule trans :premises (@p5152 @p5151)) % 1.71/1.93 (step @p5154 :rule symm :premises (@p5153)) % 1.71/1.93 (step @p5155 :rule cong :premises (@p5154) :args ((forall @t1138 (or @t4605 @t5416)))) % 1.71/1.93 (step @p5156 :rule trans :premises (@p5155 @p5149)) % 1.71/1.93 (step @p5157 :rule trans :premises (@p5156 @p5148)) % 1.71/1.93 (step @p5158 :rule refl :args (@t5416)) % 1.71/1.93 (step @p5159 :rule nary_cong :premises (@p3164 @p5158) :args (@t5417)) % 1.71/1.93 (step @p5160 :rule cong :premises (@p5159) :args ((forall @t1138 @t5417))) % 1.71/1.93 (step @p5161 :rule trans :premises (@p5160 @p5157)) % 1.71/1.93 (step @p5162 :rule bool-impl-elim :args (@t1137 @t5416)) % 1.71/1.93 (step @p5163 :rule cong :premises (@p5162) :args ((forall @t1138 (=> @t1137 @t5416)))) % 1.71/1.93 (step @p5164 :rule trans :premises (@p5163 @p5161)) % 1.71/1.93 (step @p5165 :rule nary_cong :premises (@p1615 @p4595 @p4782) :args (@t5418)) % 1.71/1.93 (step @p5166 :rule cong :premises (@p5165) :args ((forall @t9 @t5418))) % 1.71/1.93 (step @p5167 :rule aci_norm :args ((= (or @t197 (or @t1326 @t1218)) @t5418))) % 1.71/1.93 (step @p5168 :rule refl :args (@t1218)) % 1.71/1.93 (step @p5169 :rule nary_cong :premises (@p5109 @p5168) :args ((or @t5392 @t1218))) % 1.71/1.93 (step @p5170 :rule bool-impl-elim :args (@t1327 @t1218)) % 1.71/1.93 (step @p5171 :rule trans :premises (@p5170 @p5169)) % 1.71/1.93 (step @p5172 :rule nary_cong :premises (@p4095 @p5171) :args ((or @t197 @t1328))) % 1.71/1.93 (step @p5173 :rule trans :premises (@p5172 @p5167)) % 1.71/1.93 (step @p5174 :rule bool-impl-elim :args (@t7 @t1328)) % 1.71/1.93 (step @p5175 :rule trans :premises (@p5174 @p5173)) % 1.71/1.93 (step @p5176 :rule cong :premises (@p5175) :args (@t1329)) % 1.71/1.93 (step @p5177 :rule trans :premises (@p5176 @p5166)) % 1.71/1.93 (step @p5178 :rule cong :premises (@p3355 @p5177) :args (@t1330)) % 1.71/1.93 (step @p5179 :rule cong :premises (@p5178) :args (@t1331)) % 1.71/1.93 (step @p5180 :rule trans :premises (@p5179 @p5164)) % 1.71/1.93 (step @p5181 :rule cong :premises (@p3170 @p5180) :args (@t1332)) % 1.71/1.93 (step @p5182 :rule cong :premises (@p5181) :args (@t1333)) % 1.71/1.93 (step @p5183 :rule trans :premises (@p5182 @p5146)) % 1.71/1.93 (step @p5184 :rule refl :args (tptp.binunionTILcontra)) % 1.71/1.93 (step @p5185 :rule cong :premises (@p5184 @p5183) :args (@t1334)) % 1.71/1.93 (step @p5186 :rule eq_resolve :premises (@p255 @p5185)) % 1.71/1.93 (step @p5187 :rule cong :premises (@p5186 @p5128) :args (@t5419)) % 1.71/1.93 (step @p5188 :rule refl :args (tptp.complementTcontraSubset)) % 1.71/1.93 (step @p5189 :rule cong :premises (@p5188 @p3241) :args (@t1325)) % 1.71/1.93 (step @p5190 :rule eq_resolve :premises (@p254 @p5189)) % 1.71/1.93 (step @p5191 :rule cong :premises (@p5190 @p5187) :args (@t5420)) % 1.71/1.93 (step @p5192 :rule aci_norm :args ((= @t5422 @t2640))) % 1.71/1.93 (step @p5193 :rule cong :premises (@p5192) :args (@t5423)) % 1.71/1.93 (step @p5194 :rule quant-merge-prenex :args ((= (forall @t1142 @t5425) @t5423))) % 1.71/1.93 (step @p5195 :rule alpha_equiv :args (@t5426 (@list @t2635 @t2633) (@list @t1132 @t5427))) % 1.71/1.93 (step @p5196 :rule nary_cong :premises (@p3075 @p5195) :args (@t5428)) % 1.71/1.93 (step @p5197 :rule quant-miniscope-or :args ((= @t5425 @t5428))) % 1.71/1.93 (step @p5198 :rule trans :premises (@p5197 @p5196)) % 1.71/1.93 (step @p5199 :rule symm :premises (@p5198)) % 1.71/1.93 (step @p5200 :rule cong :premises (@p5199) :args ((forall @t1142 (or @t2416 @t5434)))) % 1.71/1.93 (step @p5201 :rule trans :premises (@p5200 @p5194)) % 1.71/1.93 (step @p5202 :rule trans :premises (@p5201 @p5193)) % 1.71/1.93 (step @p5203 :rule refl :args (@t5434)) % 1.71/1.93 (step @p5204 :rule nary_cong :premises (@p3101 @p5203) :args (@t5435)) % 1.71/1.93 (step @p5205 :rule cong :premises (@p5204) :args ((forall @t1142 @t5435))) % 1.71/1.93 (step @p5206 :rule trans :premises (@p5205 @p5202)) % 1.71/1.93 (step @p5207 :rule bool-impl-elim :args (@t1140 @t5434)) % 1.71/1.93 (step @p5208 :rule cong :premises (@p5207) :args ((forall @t1142 (=> @t1140 @t5434)))) % 1.71/1.93 (step @p5209 :rule trans :premises (@p5208 @p5206)) % 1.71/1.93 (step @p5210 :rule aci_norm :args ((= @t5437 @t5432))) % 1.71/1.93 (step @p5211 :rule cong :premises (@p5210) :args (@t5438)) % 1.71/1.93 (step @p5212 :rule quant-merge-prenex :args ((= (forall @t1138 @t5440) @t5438))) % 1.71/1.93 (step @p5213 :rule alpha_equiv :args (@t5441 (@list @t5427) @t3867)) % 1.71/1.93 (step @p5214 :rule refl :args (@t4622)) % 1.71/1.93 (step @p5215 :rule nary_cong :premises (@p3272 @p5214 @p5213) :args (@t5442)) % 1.71/1.93 (step @p5216 :rule quant-miniscope-or :args ((= @t5440 @t5442))) % 1.71/1.93 (step @p5217 :rule trans :premises (@p5216 @p5215)) % 1.71/1.93 (step @p5218 :rule symm :premises (@p5217)) % 1.71/1.93 (step @p5219 :rule cong :premises (@p5218) :args ((forall @t1138 (or @t4605 @t4622 @t5443)))) % 1.71/1.93 (step @p5220 :rule trans :premises (@p5219 @p5212)) % 1.71/1.93 (step @p5221 :rule trans :premises (@p5220 @p5211)) % 1.71/1.93 (step @p5222 :rule refl :args (@t5443)) % 1.71/1.93 (step @p5223 :rule nary_cong :premises (@p3164 @p3227 @p5222) :args (@t5444)) % 1.71/1.93 (step @p5224 :rule cong :premises (@p5223) :args ((forall @t1138 @t5444))) % 1.71/1.93 (step @p5225 :rule trans :premises (@p5224 @p5221)) % 1.71/1.93 (step @p5226 :rule aci_norm :args ((= (or @t4609 (or @t4625 @t5443)) @t5444))) % 1.71/1.93 (step @p5227 :rule bool-impl-elim :args (@t1236 @t5443)) % 1.71/1.93 (step @p5228 :rule nary_cong :premises (@p3232 @p5227) :args ((or @t4609 @t5445))) % 1.71/1.93 (step @p5229 :rule trans :premises (@p5228 @p5226)) % 1.71/1.93 (step @p5230 :rule bool-impl-elim :args (@t1137 @t5445)) % 1.71/1.93 (step @p5231 :rule trans :premises (@p5230 @p5229)) % 1.71/1.93 (step @p5232 :rule cong :premises (@p5231) :args ((forall @t1138 (=> @t1137 @t5445)))) % 1.71/1.93 (step @p5233 :rule trans :premises (@p5232 @p5225)) % 1.71/1.93 (step @p5234 :rule nary_cong :premises (@p1615 @p5104 @p4168) :args (@t5446)) % 1.71/1.93 (step @p5235 :rule cong :premises (@p5234) :args ((forall @t9 @t5446))) % 1.71/1.93 (step @p5236 :rule aci_norm :args ((= (or @t197 (or @t1226 @t1204)) @t5446))) % 1.71/1.93 (step @p5237 :rule bool-impl-elim :args (@t1169 @t1204)) % 1.71/1.93 (step @p5238 :rule nary_cong :premises (@p4095 @p5237) :args ((or @t197 @t1311))) % 1.71/1.93 (step @p5239 :rule trans :premises (@p5238 @p5236)) % 1.71/1.93 (step @p5240 :rule bool-impl-elim :args (@t7 @t1311)) % 1.71/1.93 (step @p5241 :rule trans :premises (@p5240 @p5239)) % 1.71/1.93 (step @p5242 :rule cong :premises (@p5241) :args (@t1312)) % 1.71/1.93 (step @p5243 :rule trans :premises (@p5242 @p5235)) % 1.71/1.93 (step @p5244 :rule refl :args (@t1236)) % 1.71/1.93 (step @p5245 :rule cong :premises (@p5244 @p5243) :args (@t1313)) % 1.71/1.93 (step @p5246 :rule cong :premises (@p3355 @p5245) :args (@t1314)) % 1.71/1.93 (step @p5247 :rule cong :premises (@p5246) :args (@t1315)) % 1.71/1.93 (step @p5248 :rule trans :premises (@p5247 @p5233)) % 1.71/1.93 (step @p5249 :rule cong :premises (@p3170 @p5248) :args (@t1316)) % 1.71/1.93 (step @p5250 :rule cong :premises (@p5249) :args (@t1317)) % 1.71/1.93 (step @p5251 :rule trans :premises (@p5250 @p5209)) % 1.71/1.93 (step @p5252 :rule refl :args (tptp.contraSubsetComplement)) % 1.71/1.93 (step @p5253 :rule cong :premises (@p5252 @p5251) :args (@t1318)) % 1.71/1.93 (step @p5254 :rule eq_resolve :premises (@p253 @p5253)) % 1.71/1.93 (step @p5255 :rule cong :premises (@p5254 @p5191) :args (@t5447)) % 1.71/1.93 (step @p5256 :rule refl :args (tptp.complementInPowersetComplementIntersect)) % 1.71/1.93 (step @p5257 :rule cong :premises (@p5256 @p3588) :args (@t1310)) % 1.71/1.93 (step @p5258 :rule eq_resolve :premises (@p252 @p5257)) % 1.71/1.93 (step @p5259 :rule cong :premises (@p5258 @p5255) :args (@t5448)) % 1.71/1.93 (step @p5260 :rule aci_norm :args ((= @t5450 @t2645))) % 1.71/1.93 (step @p5261 :rule cong :premises (@p5260) :args (@t5451)) % 1.71/1.93 (step @p5262 :rule quant-merge-prenex :args ((= (forall @t1142 @t5453) @t5451))) % 1.71/1.93 (step @p5263 :rule alpha_equiv :args (@t5454 (@list @t2642) @t4599)) % 1.71/1.93 (step @p5264 :rule nary_cong :premises (@p3075 @p5263) :args (@t5455)) % 1.71/1.93 (step @p5265 :rule quant-miniscope-or :args ((= @t5453 @t5455))) % 1.71/1.93 (step @p5266 :rule trans :premises (@p5265 @p5264)) % 1.71/1.93 (step @p5267 :rule symm :premises (@p5266)) % 1.71/1.93 (step @p5268 :rule cong :premises (@p5267) :args ((forall @t1142 (or @t2416 @t5457)))) % 1.71/1.93 (step @p5269 :rule trans :premises (@p5268 @p5262)) % 1.71/1.93 (step @p5270 :rule trans :premises (@p5269 @p5261)) % 1.71/1.93 (step @p5271 :rule refl :args (@t5457)) % 1.71/1.93 (step @p5272 :rule nary_cong :premises (@p3101 @p5271) :args (@t5458)) % 1.71/1.93 (step @p5273 :rule cong :premises (@p5272) :args ((forall @t1142 @t5458))) % 1.71/1.93 (step @p5274 :rule trans :premises (@p5273 @p5270)) % 1.71/1.93 (step @p5275 :rule bool-impl-elim :args (@t1140 @t5457)) % 1.71/1.93 (step @p5276 :rule cong :premises (@p5275) :args ((forall @t1142 (=> @t1140 @t5457)))) % 1.71/1.93 (step @p5277 :rule trans :premises (@p5276 @p5274)) % 1.71/1.93 (step @p5278 :rule refl :args ((tptp.subset @t1163 @t1291))) % 1.71/1.93 (step @p5279 :rule cong :premises (@p3110 @p3553) :args (@t5456)) % 1.71/1.93 (step @p5280 :rule trans :premises (@p5279 @p5278)) % 1.71/1.93 (step @p5281 :rule ho_cong :premises (@p3662 @p3110)) % 1.71/1.93 (step @p5282 :rule ho_cong :premises (@p5281 @p3553)) % 1.71/1.93 (step @p5283 :rule cong :premises (@p5282 @p5280) :args ((= (_ (_ tptp.subset @t2409) @t4724) @t5456))) % 1.71/1.93 (step @p5284 :rule symm :premises (@p5283)) % 1.71/1.93 (step @p5285 :rule refl :args (@t1300)) % 1.71/1.93 (step @p5286 :rule eq_resolve :premises (@p5285 @p5284)) % 1.71/1.93 (step @p5287 :rule ho_cong :premises (@p3662 @p3134)) % 1.71/1.93 (step @p5288 :rule ho_cong :premises (@p5287 @p3575)) % 1.71/1.93 (step @p5289 :rule trans :premises (@p5288 @p5286)) % 1.71/1.93 (step @p5290 :rule nary_cong :premises (@p3164 @p5289) :args (@t5459)) % 1.71/1.93 (step @p5291 :rule cong :premises (@p5290) :args ((forall @t1138 @t5459))) % 1.71/1.93 (step @p5292 :rule bool-impl-elim :args (@t1137 @t1300)) % 1.71/1.93 (step @p5293 :rule cong :premises (@p5292) :args (@t1301)) % 1.71/1.93 (step @p5294 :rule trans :premises (@p5293 @p5291)) % 1.71/1.93 (step @p5295 :rule cong :premises (@p3170 @p5294) :args (@t1302)) % 1.71/1.93 (step @p5296 :rule cong :premises (@p5295) :args (@t1303)) % 1.71/1.93 (step @p5297 :rule trans :premises (@p5296 @p5277)) % 1.71/1.93 (step @p5298 :rule refl :args (tptp.complementSubsetComplementIntersect)) % 1.71/1.93 (step @p5299 :rule cong :premises (@p5298 @p5297) :args (@t1304)) % 1.71/1.93 (step @p5300 :rule eq_resolve :premises (@p251 @p5299)) % 1.71/1.93 (step @p5301 :rule cong :premises (@p5300 @p5259) :args (@t5460)) % 1.71/1.93 (step @p5302 :rule aci_norm :args ((= @t5462 @t2653))) % 1.71/1.93 (step @p5303 :rule cong :premises (@p5302) :args (@t5463)) % 1.71/1.93 (step @p5304 :rule quant-merge-prenex :args ((= (forall @t1142 @t5465) @t5463))) % 1.71/1.93 (step @p5305 :rule alpha_equiv :args (@t5466 (@list @t2647 @t2648) (@list @t1132 @t5467))) % 1.71/1.93 (step @p5306 :rule nary_cong :premises (@p3075 @p5305) :args (@t5468)) % 1.71/1.93 (step @p5307 :rule quant-miniscope-or :args ((= @t5465 @t5468))) % 1.71/1.93 (step @p5308 :rule trans :premises (@p5307 @p5306)) % 1.71/1.93 (step @p5309 :rule symm :premises (@p5308)) % 1.71/1.93 (step @p5310 :rule cong :premises (@p5309) :args ((forall @t1142 (or @t2416 @t5474)))) % 1.71/1.93 (step @p5311 :rule trans :premises (@p5310 @p5304)) % 1.71/1.93 (step @p5312 :rule trans :premises (@p5311 @p5303)) % 1.71/1.93 (step @p5313 :rule refl :args (@t5474)) % 1.71/1.93 (step @p5314 :rule nary_cong :premises (@p3101 @p5313) :args (@t5475)) % 1.71/1.93 (step @p5315 :rule cong :premises (@p5314) :args ((forall @t1142 @t5475))) % 1.71/1.93 (step @p5316 :rule trans :premises (@p5315 @p5312)) % 1.71/1.93 (step @p5317 :rule bool-impl-elim :args (@t1140 @t5474)) % 1.71/1.93 (step @p5318 :rule cong :premises (@p5317) :args ((forall @t1142 (=> @t1140 @t5474)))) % 1.71/1.93 (step @p5319 :rule trans :premises (@p5318 @p5316)) % 1.71/1.93 (step @p5320 :rule aci_norm :args ((= @t5477 @t5472))) % 1.71/1.93 (step @p5321 :rule cong :premises (@p5320) :args (@t5478)) % 1.71/1.93 (step @p5322 :rule quant-merge-prenex :args ((= (forall @t1138 @t5480) @t5478))) % 1.71/1.93 (step @p5323 :rule alpha_equiv :args (@t5481 (@list @t5467) @t3867)) % 1.71/1.93 (step @p5324 :rule nary_cong :premises (@p3272 @p5323) :args (@t5482)) % 1.71/1.93 (step @p5325 :rule quant-miniscope-or :args ((= @t5480 @t5482))) % 1.71/1.93 (step @p5326 :rule trans :premises (@p5325 @p5324)) % 1.71/1.93 (step @p5327 :rule symm :premises (@p5326)) % 1.71/1.93 (step @p5328 :rule cong :premises (@p5327) :args ((forall @t1138 (or @t4605 @t5483)))) % 1.71/1.93 (step @p5329 :rule trans :premises (@p5328 @p5322)) % 1.71/1.93 (step @p5330 :rule trans :premises (@p5329 @p5321)) % 1.71/1.93 (step @p5331 :rule refl :args (@t5483)) % 1.71/1.93 (step @p5332 :rule nary_cong :premises (@p3164 @p5331) :args (@t5484)) % 1.71/1.93 (step @p5333 :rule cong :premises (@p5332) :args ((forall @t1138 @t5484))) % 1.71/1.93 (step @p5334 :rule trans :premises (@p5333 @p5330)) % 1.71/1.93 (step @p5335 :rule bool-impl-elim :args (@t1137 @t5483)) % 1.71/1.93 (step @p5336 :rule cong :premises (@p5335) :args ((forall @t1138 (=> @t1137 @t5483)))) % 1.71/1.93 (step @p5337 :rule trans :premises (@p5336 @p5334)) % 1.71/1.93 (step @p5338 :rule nary_cong :premises (@p1615 @p4169 @p4341) :args (@t5485)) % 1.71/1.93 (step @p5339 :rule cong :premises (@p5338) :args ((forall @t9 @t5485))) % 1.71/1.93 (step @p5340 :rule aci_norm :args ((= (or @t197 (or @t1205 @t1292)) @t5485))) % 1.71/1.93 (step @p5341 :rule bool-impl-elim :args (@t1204 @t1292)) % 1.71/1.93 (step @p5342 :rule nary_cong :premises (@p4095 @p5341) :args ((or @t197 @t1293))) % 1.71/1.93 (step @p5343 :rule trans :premises (@p5342 @p5340)) % 1.71/1.93 (step @p5344 :rule bool-impl-elim :args (@t7 @t1293)) % 1.71/1.93 (step @p5345 :rule trans :premises (@p5344 @p5343)) % 1.71/1.93 (step @p5346 :rule cong :premises (@p5345) :args (@t1294)) % 1.71/1.93 (step @p5347 :rule trans :premises (@p5346 @p5339)) % 1.71/1.93 (step @p5348 :rule cong :premises (@p3355 @p5347) :args (@t1295)) % 1.71/1.93 (step @p5349 :rule cong :premises (@p5348) :args (@t1296)) % 1.71/1.93 (step @p5350 :rule trans :premises (@p5349 @p5337)) % 1.71/1.93 (step @p5351 :rule cong :premises (@p3170 @p5350) :args (@t1297)) % 1.71/1.93 (step @p5352 :rule cong :premises (@p5351) :args (@t1298)) % 1.71/1.93 (step @p5353 :rule trans :premises (@p5352 @p5319)) % 1.71/1.93 (step @p5354 :rule refl :args (tptp.complementImpComplementIntersect)) % 1.71/1.93 (step @p5355 :rule cong :premises (@p5354 @p5353) :args (@t1299)) % 1.71/1.93 (step @p5356 :rule eq_resolve :premises (@p250 @p5355)) % 1.71/1.93 (step @p5357 :rule cong :premises (@p5356 @p5301) :args (@t5486)) % 1.71/1.93 (step @p5358 :rule aci_norm :args ((= @t5488 @t2661))) % 1.71/1.93 (step @p5359 :rule cong :premises (@p5358) :args (@t5489)) % 1.71/1.93 (step @p5360 :rule quant-merge-prenex :args ((= (forall @t1142 @t5491) @t5489))) % 1.71/1.93 (step @p5361 :rule alpha_equiv :args (@t5492 (@list @t2655 @t2656) (@list @t1132 @t5493))) % 1.71/1.93 (step @p5362 :rule nary_cong :premises (@p3075 @p5361) :args (@t5494)) % 1.71/1.93 (step @p5363 :rule quant-miniscope-or :args ((= @t5491 @t5494))) % 1.71/1.93 (step @p5364 :rule trans :premises (@p5363 @p5362)) % 1.71/1.93 (step @p5365 :rule symm :premises (@p5364)) % 1.71/1.93 (step @p5366 :rule cong :premises (@p5365) :args ((forall @t1142 (or @t2416 @t5500)))) % 1.71/1.93 (step @p5367 :rule trans :premises (@p5366 @p5360)) % 1.71/1.93 (step @p5368 :rule trans :premises (@p5367 @p5359)) % 1.71/1.93 (step @p5369 :rule refl :args (@t5500)) % 1.71/1.93 (step @p5370 :rule nary_cong :premises (@p3101 @p5369) :args (@t5501)) % 1.71/1.93 (step @p5371 :rule cong :premises (@p5370) :args ((forall @t1142 @t5501))) % 1.71/1.93 (step @p5372 :rule trans :premises (@p5371 @p5368)) % 1.71/1.93 (step @p5373 :rule bool-impl-elim :args (@t1140 @t5500)) % 1.71/1.93 (step @p5374 :rule cong :premises (@p5373) :args ((forall @t1142 (=> @t1140 @t5500)))) % 1.71/1.93 (step @p5375 :rule trans :premises (@p5374 @p5372)) % 1.71/1.93 (step @p5376 :rule aci_norm :args ((= @t5503 @t5498))) % 1.71/1.93 (step @p5377 :rule cong :premises (@p5376) :args (@t5504)) % 1.71/1.93 (step @p5378 :rule quant-merge-prenex :args ((= (forall @t1138 @t5506) @t5504))) % 1.71/1.93 (step @p5379 :rule alpha_equiv :args (@t5507 (@list @t5493) @t3867)) % 1.71/1.93 (step @p5380 :rule nary_cong :premises (@p3272 @p5379) :args (@t5508)) % 1.71/1.93 (step @p5381 :rule quant-miniscope-or :args ((= @t5506 @t5508))) % 1.71/1.93 (step @p5382 :rule trans :premises (@p5381 @p5380)) % 1.71/1.93 (step @p5383 :rule symm :premises (@p5382)) % 1.71/1.93 (step @p5384 :rule cong :premises (@p5383) :args ((forall @t1138 (or @t4605 @t5509)))) % 1.71/1.93 (step @p5385 :rule trans :premises (@p5384 @p5378)) % 1.71/1.93 (step @p5386 :rule trans :premises (@p5385 @p5377)) % 1.71/1.93 (step @p5387 :rule refl :args (@t5509)) % 1.71/1.93 (step @p5388 :rule nary_cong :premises (@p3164 @p5387) :args (@t5510)) % 1.71/1.93 (step @p5389 :rule cong :premises (@p5388) :args ((forall @t1138 @t5510))) % 1.71/1.93 (step @p5390 :rule trans :premises (@p5389 @p5386)) % 1.71/1.93 (step @p5391 :rule bool-impl-elim :args (@t1137 @t5509)) % 1.71/1.93 (step @p5392 :rule cong :premises (@p5391) :args ((forall @t1138 (=> @t1137 @t5509)))) % 1.71/1.93 (step @p5393 :rule trans :premises (@p5392 @p5390)) % 1.71/1.93 (step @p5394 :rule nary_cong :premises (@p1615 @p4169 @p3987) :args (@t5511)) % 1.71/1.93 (step @p5395 :rule cong :premises (@p5394) :args ((forall @t9 @t5511))) % 1.71/1.93 (step @p5396 :rule aci_norm :args ((= (or @t197 (or @t1205 @t1217)) @t5511))) % 1.71/1.93 (step @p5397 :rule bool-impl-elim :args (@t1204 @t1217)) % 1.71/1.93 (step @p5398 :rule nary_cong :premises (@p4095 @p5397) :args ((or @t197 @t1284))) % 1.71/1.93 (step @p5399 :rule trans :premises (@p5398 @p5396)) % 1.71/1.93 (step @p5400 :rule bool-impl-elim :args (@t7 @t1284)) % 1.71/1.93 (step @p5401 :rule trans :premises (@p5400 @p5399)) % 1.71/1.93 (step @p5402 :rule cong :premises (@p5401) :args (@t1285)) % 1.71/1.93 (step @p5403 :rule trans :premises (@p5402 @p5395)) % 1.71/1.93 (step @p5404 :rule cong :premises (@p3355 @p5403) :args (@t1286)) % 1.71/1.93 (step @p5405 :rule cong :premises (@p5404) :args (@t1287)) % 1.71/1.93 (step @p5406 :rule trans :premises (@p5405 @p5393)) % 1.71/1.93 (step @p5407 :rule cong :premises (@p3170 @p5406) :args (@t1288)) % 1.71/1.93 (step @p5408 :rule cong :premises (@p5407) :args (@t1289)) % 1.71/1.93 (step @p5409 :rule trans :premises (@p5408 @p5375)) % 1.71/1.93 (step @p5410 :rule refl :args (tptp.complementTnotintersectT)) % 1.71/1.93 (step @p5411 :rule cong :premises (@p5410 @p5409) :args (@t1290)) % 1.71/1.93 (step @p5412 :rule eq_resolve :premises (@p249 @p5411)) % 1.71/1.93 (step @p5413 :rule cong :premises (@p5412 @p5357) :args (@t5512)) % 1.71/1.93 (step @p5414 :rule refl :args ((tptp.setminus @t2 @t1163))) % 1.71/1.93 (step @p5415 :rule cong :premises (@p973 @p3110) :args (@t2663)) % 1.71/1.93 (step @p5416 :rule trans :premises (@p5415 @p5414)) % 1.71/1.93 (step @p5417 :rule ho_cong :premises (@p3137 @p3110)) % 1.71/1.93 (step @p5418 :rule cong :premises (@p5417 @p5416) :args ((= (_ @t567 @t2409) @t2663))) % 1.71/1.93 (step @p5419 :rule symm :premises (@p5418)) % 1.71/1.93 (step @p5420 :rule refl :args (@t1263)) % 1.71/1.93 (step @p5421 :rule eq_resolve :premises (@p5420 @p5419)) % 1.71/1.93 (step @p5422 :rule ho_cong :premises (@p3137 @p3134)) % 1.71/1.93 (step @p5423 :rule trans :premises (@p5422 @p5421)) % 1.71/1.93 (step @p5424 :rule cong :premises (@p3086 @p5423) :args (@t1281)) % 1.71/1.93 (step @p5425 :rule nary_cong :premises (@p3101 @p5424) :args (@t5513)) % 1.71/1.93 (step @p5426 :rule cong :premises (@p5425) :args ((forall @t1142 @t5513))) % 1.71/1.93 (step @p5427 :rule bool-impl-elim :args (@t1140 @t1281)) % 1.71/1.93 (step @p5428 :rule cong :premises (@p5427) :args (@t1282)) % 1.71/1.93 (step @p5429 :rule trans :premises (@p5428 @p5426)) % 1.71/1.93 (step @p5430 :rule refl :args (tptp.doubleComplementEq)) % 1.71/1.93 (step @p5431 :rule cong :premises (@p5430 @p5429) :args (@t1283)) % 1.71/1.93 (step @p5432 :rule eq_resolve :premises (@p248 @p5431)) % 1.71/1.93 (step @p5433 :rule cong :premises (@p5432 @p5413) :args (@t5514)) % 1.71/1.93 (step @p5434 :rule refl :args ((tptp.subset @t1263 @t695))) % 1.71/1.93 (step @p5435 :rule cong :premises (@p5416 @p3086) :args (@t2664)) % 1.71/1.93 (step @p5436 :rule trans :premises (@p5435 @p5434)) % 1.71/1.93 (step @p5437 :rule ho_cong :premises (@p3662 @p5416)) % 1.71/1.93 (step @p5438 :rule ho_cong :premises (@p5437 @p3086)) % 1.71/1.93 (step @p5439 :rule cong :premises (@p5438 @p5436) :args ((= (_ (_ tptp.subset @t2663) @t695) @t2664))) % 1.71/1.93 (step @p5440 :rule symm :premises (@p5439)) % 1.71/1.93 (step @p5441 :rule refl :args (@t1278)) % 1.71/1.93 (step @p5442 :rule eq_resolve :premises (@p5441 @p5440)) % 1.71/1.93 (step @p5443 :rule ho_cong :premises (@p3662 @p5423)) % 1.71/1.93 (step @p5444 :rule ho_cong :premises (@p5443 @p3086)) % 1.71/1.93 (step @p5445 :rule trans :premises (@p5444 @p5442)) % 1.71/1.93 (step @p5446 :rule nary_cong :premises (@p3101 @p5445) :args (@t5515)) % 1.71/1.93 (step @p5447 :rule cong :premises (@p5446) :args ((forall @t1142 @t5515))) % 1.71/1.93 (step @p5448 :rule bool-impl-elim :args (@t1140 @t1278)) % 1.71/1.93 (step @p5449 :rule cong :premises (@p5448) :args (@t1279)) % 1.71/1.93 (step @p5450 :rule trans :premises (@p5449 @p5447)) % 1.71/1.93 (step @p5451 :rule refl :args (tptp.doubleComplementSub2)) % 1.71/1.93 (step @p5452 :rule cong :premises (@p5451 @p5450) :args (@t1280)) % 1.71/1.93 (step @p5453 :rule eq_resolve :premises (@p247 @p5452)) % 1.71/1.93 (step @p5454 :rule cong :premises (@p5453 @p5433) :args (@t5516)) % 1.71/1.93 (step @p5455 :rule refl :args ((tptp.subset @t695 @t1263))) % 1.71/1.93 (step @p5456 :rule cong :premises (@p3086 @p5416) :args (@t2665)) % 1.71/1.93 (step @p5457 :rule trans :premises (@p5456 @p5455)) % 1.71/1.93 (step @p5458 :rule ho_cong :premises (@p3215 @p5416)) % 1.71/1.93 (step @p5459 :rule cong :premises (@p5458 @p5457) :args ((= (_ @t1181 @t2663) @t2665))) % 1.71/1.93 (step @p5460 :rule symm :premises (@p5459)) % 1.71/1.93 (step @p5461 :rule refl :args (@t1275)) % 1.71/1.93 (step @p5462 :rule eq_resolve :premises (@p5461 @p5460)) % 1.71/1.93 (step @p5463 :rule ho_cong :premises (@p3215 @p5423)) % 1.71/1.93 (step @p5464 :rule trans :premises (@p5463 @p5462)) % 1.71/1.93 (step @p5465 :rule nary_cong :premises (@p3101 @p5464) :args (@t5517)) % 1.71/1.93 (step @p5466 :rule cong :premises (@p5465) :args ((forall @t1142 @t5517))) % 1.71/1.93 (step @p5467 :rule bool-impl-elim :args (@t1140 @t1275)) % 1.71/1.93 (step @p5468 :rule cong :premises (@p5467) :args (@t1276)) % 1.71/1.93 (step @p5469 :rule trans :premises (@p5468 @p5466)) % 1.71/1.93 (step @p5470 :rule refl :args (tptp.doubleComplementSub1)) % 1.71/1.93 (step @p5471 :rule cong :premises (@p5470 @p5469) :args (@t1277)) % 1.71/1.93 (step @p5472 :rule eq_resolve :premises (@p246 @p5471)) % 1.71/1.93 (step @p5473 :rule cong :premises (@p5472 @p5454) :args (@t5518)) % 1.71/1.93 (step @p5474 :rule aci_norm :args ((= @t5520 @t2670))) % 1.71/1.93 (step @p5475 :rule cong :premises (@p5474) :args (@t5521)) % 1.71/1.93 (step @p5476 :rule quant-merge-prenex :args ((= (forall @t1142 @t5523) @t5521))) % 1.71/1.93 (step @p5477 :rule alpha_equiv :args (@t5524 (@list @t2666) @t3867)) % 1.71/1.93 (step @p5478 :rule nary_cong :premises (@p3075 @p5477) :args (@t5525)) % 1.71/1.93 (step @p5479 :rule quant-miniscope-or :args ((= @t5523 @t5525))) % 1.71/1.93 (step @p5480 :rule trans :premises (@p5479 @p5478)) % 1.71/1.93 (step @p5481 :rule symm :premises (@p5480)) % 1.71/1.93 (step @p5482 :rule cong :premises (@p5481) :args ((forall @t1142 (or @t2416 @t5527)))) % 1.71/1.93 (step @p5483 :rule trans :premises (@p5482 @p5476)) % 1.71/1.93 (step @p5484 :rule trans :premises (@p5483 @p5475)) % 1.71/1.93 (step @p5485 :rule refl :args (@t5527)) % 1.71/1.93 (step @p5486 :rule nary_cong :premises (@p3101 @p5485) :args (@t5528)) % 1.71/1.93 (step @p5487 :rule cong :premises (@p5486) :args ((forall @t1142 @t5528))) % 1.71/1.93 (step @p5488 :rule trans :premises (@p5487 @p5484)) % 1.71/1.93 (step @p5489 :rule bool-impl-elim :args (@t1140 @t5527)) % 1.71/1.93 (step @p5490 :rule cong :premises (@p5489) :args ((forall @t1142 (=> @t1140 @t5527)))) % 1.71/1.93 (step @p5491 :rule trans :premises (@p5490 @p5488)) % 1.71/1.93 (step @p5492 :rule refl :args ((tptp.in @t4 @t1263))) % 1.71/1.93 (step @p5493 :rule cong :premises (@p976 @p5416) :args (@t5526)) % 1.71/1.93 (step @p5494 :rule trans :premises (@p5493 @p5492)) % 1.71/1.93 (step @p5495 :rule ho_cong :premises (@p979 @p5416)) % 1.71/1.93 (step @p5496 :rule cong :premises (@p5495 @p5494) :args ((= (_ @t5 @t2663) @t5526))) % 1.71/1.93 (step @p5497 :rule symm :premises (@p5496)) % 1.71/1.93 (step @p5498 :rule refl :args (@t1264)) % 1.71/1.93 (step @p5499 :rule eq_resolve :premises (@p5498 @p5497)) % 1.71/1.93 (step @p5500 :rule ho_cong :premises (@p979 @p5423)) % 1.71/1.93 (step @p5501 :rule trans :premises (@p5500 @p5499)) % 1.71/1.93 (step @p5502 :rule cong :premises (@p5501) :args (@t5529)) % 1.71/1.93 (step @p5503 :rule nary_cong :premises (@p1615 @p5502 @p4606) :args (@t5530)) % 1.71/1.93 (step @p5504 :rule cong :premises (@p5503) :args ((forall @t9 @t5530))) % 1.71/1.93 (step @p5505 :rule aci_norm :args ((= (or @t197 (or @t5529 @t696)) @t5530))) % 1.71/1.93 (step @p5506 :rule bool-impl-elim :args (@t1264 @t696)) % 1.71/1.93 (step @p5507 :rule nary_cong :premises (@p4095 @p5506) :args ((or @t197 @t1270))) % 1.71/1.93 (step @p5508 :rule trans :premises (@p5507 @p5505)) % 1.71/1.93 (step @p5509 :rule bool-impl-elim :args (@t7 @t1270)) % 1.71/1.93 (step @p5510 :rule trans :premises (@p5509 @p5508)) % 1.71/1.93 (step @p5511 :rule cong :premises (@p5510) :args (@t1271)) % 1.71/1.93 (step @p5512 :rule trans :premises (@p5511 @p5504)) % 1.71/1.93 (step @p5513 :rule cong :premises (@p3170 @p5512) :args (@t1272)) % 1.71/1.93 (step @p5514 :rule cong :premises (@p5513) :args (@t1273)) % 1.71/1.93 (step @p5515 :rule trans :premises (@p5514 @p5491)) % 1.71/1.93 (step @p5516 :rule refl :args (tptp.doubleComplementE1)) % 1.71/1.93 (step @p5517 :rule cong :premises (@p5516 @p5515) :args (@t1274)) % 1.71/1.93 (step @p5518 :rule eq_resolve :premises (@p245 @p5517)) % 1.71/1.93 (step @p5519 :rule cong :premises (@p5518 @p5473) :args (@t5531)) % 1.71/1.93 (step @p5520 :rule aci_norm :args ((= @t5533 @t2676))) % 1.71/1.93 (step @p5521 :rule cong :premises (@p5520) :args (@t5534)) % 1.71/1.93 (step @p5522 :rule quant-merge-prenex :args ((= (forall @t1142 @t5536) @t5534))) % 1.71/1.93 (step @p5523 :rule alpha_equiv :args (@t5537 (@list @t2672) @t3867)) % 1.71/1.93 (step @p5524 :rule nary_cong :premises (@p3075 @p5523) :args (@t5538)) % 1.71/1.93 (step @p5525 :rule quant-miniscope-or :args ((= @t5536 @t5538))) % 1.71/1.93 (step @p5526 :rule trans :premises (@p5525 @p5524)) % 1.71/1.93 (step @p5527 :rule symm :premises (@p5526)) % 1.71/1.93 (step @p5528 :rule cong :premises (@p5527) :args ((forall @t1142 (or @t2416 @t5539)))) % 1.71/1.93 (step @p5529 :rule trans :premises (@p5528 @p5522)) % 1.71/1.93 (step @p5530 :rule trans :premises (@p5529 @p5521)) % 1.71/1.93 (step @p5531 :rule refl :args (@t5539)) % 1.71/1.93 (step @p5532 :rule nary_cong :premises (@p3101 @p5531) :args (@t5540)) % 1.71/1.93 (step @p5533 :rule cong :premises (@p5532) :args ((forall @t1142 @t5540))) % 1.71/1.93 (step @p5534 :rule trans :premises (@p5533 @p5530)) % 1.71/1.93 (step @p5535 :rule bool-impl-elim :args (@t1140 @t5539)) % 1.71/1.93 (step @p5536 :rule cong :premises (@p5535) :args ((forall @t1142 (=> @t1140 @t5539)))) % 1.71/1.93 (step @p5537 :rule trans :premises (@p5536 @p5534)) % 1.71/1.93 (step @p5538 :rule nary_cong :premises (@p1615 @p4782 @p5501) :args (@t5541)) % 1.71/1.93 (step @p5539 :rule cong :premises (@p5538) :args ((forall @t9 @t5541))) % 1.71/1.93 (step @p5540 :rule aci_norm :args ((= (or @t197 (or @t1218 @t1264)) @t5541))) % 1.71/1.93 (step @p5541 :rule bool-impl-elim :args (@t696 @t1264)) % 1.71/1.93 (step @p5542 :rule nary_cong :premises (@p4095 @p5541) :args ((or @t197 @t1265))) % 1.71/1.93 (step @p5543 :rule trans :premises (@p5542 @p5540)) % 1.71/1.93 (step @p5544 :rule bool-impl-elim :args (@t7 @t1265)) % 1.71/1.93 (step @p5545 :rule trans :premises (@p5544 @p5543)) % 1.71/1.93 (step @p5546 :rule cong :premises (@p5545) :args (@t1266)) % 1.71/1.93 (step @p5547 :rule trans :premises (@p5546 @p5539)) % 1.71/1.93 (step @p5548 :rule cong :premises (@p3170 @p5547) :args (@t1267)) % 1.71/1.93 (step @p5549 :rule cong :premises (@p5548) :args (@t1268)) % 1.71/1.93 (step @p5550 :rule trans :premises (@p5549 @p5537)) % 1.71/1.93 (step @p5551 :rule refl :args (tptp.doubleComplementI1)) % 1.71/1.93 (step @p5552 :rule cong :premises (@p5551 @p5550) :args (@t1269)) % 1.71/1.93 (step @p5553 :rule eq_resolve :premises (@p244 @p5552)) % 1.71/1.93 (step @p5554 :rule cong :premises (@p5553 @p5519) :args (@t5542)) % 1.71/1.93 (step @p5555 :rule aci_norm :args ((= @t5544 @t2682))) % 1.71/1.93 (step @p5556 :rule cong :premises (@p5555) :args (@t5545)) % 1.71/1.93 (step @p5557 :rule quant-merge-prenex :args ((= (forall @t1142 @t5547) @t5545))) % 1.71/1.93 (step @p5558 :rule alpha_equiv :args (@t5548 (@list @t2678) @t4599)) % 1.71/1.93 (step @p5559 :rule nary_cong :premises (@p3075 @p5558) :args (@t5549)) % 1.71/1.93 (step @p5560 :rule quant-miniscope-or :args ((= @t5547 @t5549))) % 1.71/1.93 (step @p5561 :rule trans :premises (@p5560 @p5559)) % 1.71/1.93 (step @p5562 :rule symm :premises (@p5561)) % 1.71/1.93 (step @p5563 :rule cong :premises (@p5562) :args ((forall @t1142 (or @t2416 @t5551)))) % 1.71/1.93 (step @p5564 :rule trans :premises (@p5563 @p5557)) % 1.71/1.93 (step @p5565 :rule trans :premises (@p5564 @p5556)) % 1.71/1.93 (step @p5566 :rule refl :args (@t5551)) % 1.71/1.93 (step @p5567 :rule nary_cong :premises (@p3101 @p5566) :args (@t5552)) % 1.71/1.93 (step @p5568 :rule cong :premises (@p5567) :args ((forall @t1142 @t5552))) % 1.71/1.93 (step @p5569 :rule trans :premises (@p5568 @p5565)) % 1.71/1.93 (step @p5570 :rule bool-impl-elim :args (@t1140 @t5551)) % 1.71/1.93 (step @p5571 :rule cong :premises (@p5570) :args ((forall @t1142 (=> @t1140 @t5551)))) % 1.71/1.93 (step @p5572 :rule trans :premises (@p5571 @p5569)) % 1.71/1.93 (step @p5573 :rule refl :args ((tptp.subset @t1235 @t1163))) % 1.71/1.93 (step @p5574 :rule cong :premises (@p3212 @p3110) :args (@t5550)) % 1.71/1.93 (step @p5575 :rule trans :premises (@p5574 @p5573)) % 1.71/1.93 (step @p5576 :rule ho_cong :premises (@p3662 @p3212)) % 1.71/1.93 (step @p5577 :rule ho_cong :premises (@p5576 @p3110)) % 1.71/1.93 (step @p5578 :rule cong :premises (@p5577 @p5575) :args ((= (_ (_ tptp.subset @t4620) @t2409) @t5550))) % 1.71/1.93 (step @p5579 :rule symm :premises (@p5578)) % 1.71/1.93 (step @p5580 :rule refl :args (@t1252)) % 1.71/1.93 (step @p5581 :rule eq_resolve :premises (@p5580 @p5579)) % 1.71/1.93 (step @p5582 :rule ho_cong :premises (@p3662 @p3224)) % 1.71/1.93 (step @p5583 :rule ho_cong :premises (@p5582 @p3134)) % 1.71/1.93 (step @p5584 :rule trans :premises (@p5583 @p5581)) % 1.71/1.93 (step @p5585 :rule cong :premises (@p5584) :args (@t5553)) % 1.71/1.93 (step @p5586 :rule nary_cong :premises (@p3164 @p5585 @p3754) :args (@t5554)) % 1.71/1.93 (step @p5587 :rule cong :premises (@p5586) :args ((forall @t1138 @t5554))) % 1.71/1.93 (step @p5588 :rule aci_norm :args ((= (or @t4609 (or @t5553 @t1182)) @t5554))) % 1.71/1.93 (step @p5589 :rule bool-impl-elim :args (@t1252 @t1182)) % 1.71/1.93 (step @p5590 :rule nary_cong :premises (@p3232 @p5589) :args ((or @t4609 @t1258))) % 1.71/1.93 (step @p5591 :rule trans :premises (@p5590 @p5588)) % 1.71/1.93 (step @p5592 :rule bool-impl-elim :args (@t1137 @t1258)) % 1.71/1.93 (step @p5593 :rule trans :premises (@p5592 @p5591)) % 1.71/1.93 (step @p5594 :rule cong :premises (@p5593) :args (@t1259)) % 1.71/1.93 (step @p5595 :rule trans :premises (@p5594 @p5587)) % 1.71/1.93 (step @p5596 :rule cong :premises (@p3170 @p5595) :args (@t1260)) % 1.71/1.93 (step @p5597 :rule cong :premises (@p5596) :args (@t1261)) % 1.71/1.93 (step @p5598 :rule trans :premises (@p5597 @p5572)) % 1.71/1.93 (step @p5599 :rule refl :args (tptp.contrasubsetT3)) % 1.71/1.93 (step @p5600 :rule cong :premises (@p5599 @p5598) :args (@t1262)) % 1.71/1.93 (step @p5601 :rule eq_resolve :premises (@p243 @p5600)) % 1.71/1.93 (step @p5602 :rule cong :premises (@p5601 @p5554) :args (@t5555)) % 1.71/1.93 (step @p5603 :rule aci_norm :args ((= @t5557 @t2688))) % 1.71/1.93 (step @p5604 :rule cong :premises (@p5603) :args (@t5558)) % 1.71/1.93 (step @p5605 :rule quant-merge-prenex :args ((= (forall @t1142 @t5560) @t5558))) % 1.71/1.93 (step @p5606 :rule alpha_equiv :args (@t5561 (@list @t2684) @t4599)) % 1.71/1.93 (step @p5607 :rule nary_cong :premises (@p3075 @p5606) :args (@t5562)) % 1.71/1.93 (step @p5608 :rule quant-miniscope-or :args ((= @t5560 @t5562))) % 1.71/1.93 (step @p5609 :rule trans :premises (@p5608 @p5607)) % 1.71/1.93 (step @p5610 :rule symm :premises (@p5609)) % 1.71/1.93 (step @p5611 :rule cong :premises (@p5610) :args ((forall @t1142 (or @t2416 @t5563)))) % 1.71/1.93 (step @p5612 :rule trans :premises (@p5611 @p5605)) % 1.71/1.93 (step @p5613 :rule trans :premises (@p5612 @p5604)) % 1.71/1.93 (step @p5614 :rule refl :args (@t5563)) % 1.71/1.93 (step @p5615 :rule nary_cong :premises (@p3101 @p5614) :args (@t5564)) % 1.71/1.93 (step @p5616 :rule cong :premises (@p5615) :args ((forall @t1142 @t5564))) % 1.71/1.93 (step @p5617 :rule trans :premises (@p5616 @p5613)) % 1.71/1.93 (step @p5618 :rule bool-impl-elim :args (@t1140 @t5563)) % 1.71/1.93 (step @p5619 :rule cong :premises (@p5618) :args ((forall @t1142 (=> @t1140 @t5563)))) % 1.71/1.93 (step @p5620 :rule trans :premises (@p5619 @p5617)) % 1.71/1.93 (step @p5621 :rule nary_cong :premises (@p3164 @p3755 @p5584) :args (@t5565)) % 1.71/1.93 (step @p5622 :rule cong :premises (@p5621) :args ((forall @t1138 @t5565))) % 1.71/1.93 (step @p5623 :rule aci_norm :args ((= (or @t4609 (or @t4817 @t1252)) @t5565))) % 1.71/1.93 (step @p5624 :rule bool-impl-elim :args (@t1182 @t1252)) % 1.71/1.93 (step @p5625 :rule nary_cong :premises (@p3232 @p5624) :args ((or @t4609 @t1253))) % 1.71/1.93 (step @p5626 :rule trans :premises (@p5625 @p5623)) % 1.71/1.93 (step @p5627 :rule bool-impl-elim :args (@t1137 @t1253)) % 1.71/1.93 (step @p5628 :rule trans :premises (@p5627 @p5626)) % 1.71/1.93 (step @p5629 :rule cong :premises (@p5628) :args (@t1254)) % 1.71/1.93 (step @p5630 :rule trans :premises (@p5629 @p5622)) % 1.71/1.93 (step @p5631 :rule cong :premises (@p3170 @p5630) :args (@t1255)) % 1.71/1.93 (step @p5632 :rule cong :premises (@p5631) :args (@t1256)) % 1.71/1.93 (step @p5633 :rule trans :premises (@p5632 @p5620)) % 1.71/1.93 (step @p5634 :rule refl :args (tptp.contrasubsetT2)) % 1.71/1.93 (step @p5635 :rule cong :premises (@p5634 @p5633) :args (@t1257)) % 1.71/1.93 (step @p5636 :rule eq_resolve :premises (@p242 @p5635)) % 1.71/1.93 (step @p5637 :rule cong :premises (@p5636 @p5602) :args (@t5566)) % 1.71/1.93 (step @p5638 :rule aci_norm :args ((= @t5568 @t2697))) % 1.71/1.93 (step @p5639 :rule cong :premises (@p5638) :args (@t5569)) % 1.71/1.93 (step @p5640 :rule quant-merge-prenex :args ((= (forall @t1142 @t5571) @t5569))) % 1.71/1.93 (step @p5641 :rule alpha_equiv :args (@t5572 (@list @t2692 @t2690) (@list @t1132 @t5573))) % 1.71/1.93 (step @p5642 :rule nary_cong :premises (@p3075 @p5641) :args (@t5574)) % 1.71/1.93 (step @p5643 :rule quant-miniscope-or :args ((= @t5571 @t5574))) % 1.71/1.93 (step @p5644 :rule trans :premises (@p5643 @p5642)) % 1.71/1.93 (step @p5645 :rule symm :premises (@p5644)) % 1.71/1.93 (step @p5646 :rule cong :premises (@p5645) :args ((forall @t1142 (or @t2416 @t5580)))) % 1.71/1.93 (step @p5647 :rule trans :premises (@p5646 @p5640)) % 1.71/1.93 (step @p5648 :rule trans :premises (@p5647 @p5639)) % 1.71/1.93 (step @p5649 :rule refl :args (@t5580)) % 1.71/1.93 (step @p5650 :rule nary_cong :premises (@p3101 @p5649) :args (@t5581)) % 1.71/1.93 (step @p5651 :rule cong :premises (@p5650) :args ((forall @t1142 @t5581))) % 1.71/1.93 (step @p5652 :rule trans :premises (@p5651 @p5648)) % 1.71/1.93 (step @p5653 :rule bool-impl-elim :args (@t1140 @t5580)) % 1.71/1.93 (step @p5654 :rule cong :premises (@p5653) :args ((forall @t1142 (=> @t1140 @t5580)))) % 1.71/1.93 (step @p5655 :rule trans :premises (@p5654 @p5652)) % 1.71/1.93 (step @p5656 :rule aci_norm :args ((= @t5583 @t5578))) % 1.71/1.93 (step @p5657 :rule cong :premises (@p5656) :args (@t5584)) % 1.71/1.93 (step @p5658 :rule quant-merge-prenex :args ((= (forall @t1138 @t5586) @t5584))) % 1.71/1.93 (step @p5659 :rule alpha_equiv :args (@t5587 (@list @t5573) @t3867)) % 1.71/1.93 (step @p5660 :rule nary_cong :premises (@p3272 @p3741 @p5659) :args (@t5588)) % 1.71/1.93 (step @p5661 :rule quant-miniscope-or :args ((= @t5586 @t5588))) % 1.71/1.93 (step @p5662 :rule trans :premises (@p5661 @p5660)) % 1.71/1.93 (step @p5663 :rule symm :premises (@p5662)) % 1.71/1.93 (step @p5664 :rule cong :premises (@p5663) :args ((forall @t1138 (or @t4605 @t4802 @t5589)))) % 1.71/1.93 (step @p5665 :rule trans :premises (@p5664 @p5658)) % 1.71/1.93 (step @p5666 :rule trans :premises (@p5665 @p5657)) % 1.71/1.93 (step @p5667 :rule refl :args (@t5589)) % 1.71/1.93 (step @p5668 :rule nary_cong :premises (@p3164 @p3755 @p5667) :args (@t5590)) % 1.71/1.93 (step @p5669 :rule cong :premises (@p5668) :args ((forall @t1138 @t5590))) % 1.71/1.93 (step @p5670 :rule trans :premises (@p5669 @p5666)) % 1.71/1.93 (step @p5671 :rule aci_norm :args ((= (or @t4609 @t5591) @t5590))) % 1.71/1.93 (step @p5672 :rule bool-impl-elim :args (@t1137 @t5591)) % 1.71/1.93 (step @p5673 :rule trans :premises (@p5672 @p5671)) % 1.71/1.93 (step @p5674 :rule cong :premises (@p5673) :args ((forall @t1138 (=> @t1137 @t5591)))) % 1.71/1.93 (step @p5675 :rule trans :premises (@p5674 @p5670)) % 1.71/1.93 (step @p5676 :rule nary_cong :premises (@p1615 @p4601 @p4782) :args (@t5592)) % 1.71/1.93 (step @p5677 :rule cong :premises (@p5676) :args (@t5593)) % 1.71/1.93 (step @p5678 :rule nary_cong :premises (@p3781 @p5677) :args (@t5594)) % 1.71/1.93 (step @p5679 :rule quant-miniscope-or :args ((= (forall @t9 @t5595) @t5594))) % 1.71/1.93 (step @p5680 :rule aci_norm :args ((= @t5596 @t5595))) % 1.71/1.93 (step @p5681 :rule cong :premises (@p5680) :args ((forall @t9 @t5596))) % 1.71/1.93 (step @p5682 :rule trans :premises (@p5681 @p5679)) % 1.71/1.93 (step @p5683 :rule trans :premises (@p5682 @p5678)) % 1.71/1.93 (step @p5684 :rule aci_norm :args ((= (or @t197 @t5597) @t5596))) % 1.71/1.93 (step @p5685 :rule aci_norm :args ((= (or @t4817 (or @t1169 @t1218)) @t5597))) % 1.71/1.93 (step @p5686 :rule nary_cong :premises (@p4612 @p5168) :args ((or @t5160 @t1218))) % 1.71/1.93 (step @p5687 :rule bool-impl-elim :args (@t1226 @t1218)) % 1.71/1.93 (step @p5688 :rule trans :premises (@p5687 @p5686)) % 1.71/1.93 (step @p5689 :rule nary_cong :premises (@p3791 @p5688) :args ((or @t4817 @t1244))) % 1.71/1.93 (step @p5690 :rule trans :premises (@p5689 @p5685)) % 1.71/1.93 (step @p5691 :rule bool-impl-elim :args (@t1182 @t1244)) % 1.71/1.93 (step @p5692 :rule trans :premises (@p5691 @p5690)) % 1.71/1.93 (step @p5693 :rule nary_cong :premises (@p4095 @p5692) :args ((or @t197 @t1245))) % 1.71/1.93 (step @p5694 :rule trans :premises (@p5693 @p5684)) % 1.71/1.93 (step @p5695 :rule bool-impl-elim :args (@t7 @t1245)) % 1.71/1.93 (step @p5696 :rule trans :premises (@p5695 @p5694)) % 1.71/1.93 (step @p5697 :rule cong :premises (@p5696) :args (@t1246)) % 1.71/1.93 (step @p5698 :rule trans :premises (@p5697 @p5683)) % 1.71/1.93 (step @p5699 :rule cong :premises (@p3355 @p5698) :args (@t1247)) % 1.71/1.93 (step @p5700 :rule cong :premises (@p5699) :args (@t1248)) % 1.71/1.93 (step @p5701 :rule trans :premises (@p5700 @p5675)) % 1.71/1.93 (step @p5702 :rule cong :premises (@p3170 @p5701) :args (@t1249)) % 1.71/1.93 (step @p5703 :rule cong :premises (@p5702) :args (@t1250)) % 1.71/1.93 (step @p5704 :rule trans :premises (@p5703 @p5655)) % 1.71/1.93 (step @p5705 :rule refl :args (tptp.contrasubsetT1)) % 1.71/1.93 (step @p5706 :rule cong :premises (@p5705 @p5704) :args (@t1251)) % 1.71/1.93 (step @p5707 :rule eq_resolve :premises (@p241 @p5706)) % 1.71/1.93 (step @p5708 :rule cong :premises (@p5707 @p5637) :args (@t5598)) % 1.71/1.93 (step @p5709 :rule aci_norm :args ((= @t5600 @t2706))) % 1.71/1.93 (step @p5710 :rule cong :premises (@p5709) :args (@t5601)) % 1.71/1.93 (step @p5711 :rule quant-merge-prenex :args ((= (forall @t1142 @t5603) @t5601))) % 1.71/1.93 (step @p5712 :rule alpha_equiv :args (@t5604 (@list @t2701 @t2699) (@list @t1132 @t5605))) % 1.71/1.93 (step @p5713 :rule nary_cong :premises (@p3075 @p5712) :args (@t5606)) % 1.71/1.93 (step @p5714 :rule quant-miniscope-or :args ((= @t5603 @t5606))) % 1.71/1.93 (step @p5715 :rule trans :premises (@p5714 @p5713)) % 1.71/1.93 (step @p5716 :rule symm :premises (@p5715)) % 1.71/1.93 (step @p5717 :rule cong :premises (@p5716) :args ((forall @t1142 (or @t2416 @t5612)))) % 1.71/1.93 (step @p5718 :rule trans :premises (@p5717 @p5711)) % 1.71/1.93 (step @p5719 :rule trans :premises (@p5718 @p5710)) % 1.71/1.93 (step @p5720 :rule refl :args (@t5612)) % 1.71/1.93 (step @p5721 :rule nary_cong :premises (@p3101 @p5720) :args (@t5613)) % 1.71/1.93 (step @p5722 :rule cong :premises (@p5721) :args ((forall @t1142 @t5613))) % 1.71/1.93 (step @p5723 :rule trans :premises (@p5722 @p5719)) % 1.71/1.93 (step @p5724 :rule bool-impl-elim :args (@t1140 @t5612)) % 1.71/1.93 (step @p5725 :rule cong :premises (@p5724) :args ((forall @t1142 (=> @t1140 @t5612)))) % 1.71/1.93 (step @p5726 :rule trans :premises (@p5725 @p5723)) % 1.71/1.93 (step @p5727 :rule aci_norm :args ((= @t5615 @t5610))) % 1.71/1.93 (step @p5728 :rule cong :premises (@p5727) :args (@t5616)) % 1.71/1.93 (step @p5729 :rule quant-merge-prenex :args ((= (forall @t1138 @t5618) @t5616))) % 1.71/1.93 (step @p5730 :rule alpha_equiv :args (@t5619 (@list @t5605) @t3867)) % 1.71/1.93 (step @p5731 :rule nary_cong :premises (@p3272 @p5214 @p5730) :args (@t5620)) % 1.71/1.93 (step @p5732 :rule quant-miniscope-or :args ((= @t5618 @t5620))) % 1.71/1.93 (step @p5733 :rule trans :premises (@p5732 @p5731)) % 1.71/1.93 (step @p5734 :rule symm :premises (@p5733)) % 1.71/1.93 (step @p5735 :rule cong :premises (@p5734) :args ((forall @t1138 (or @t4605 @t4622 @t5621)))) % 1.71/1.93 (step @p5736 :rule trans :premises (@p5735 @p5729)) % 1.71/1.93 (step @p5737 :rule trans :premises (@p5736 @p5728)) % 1.71/1.93 (step @p5738 :rule refl :args (@t5621)) % 1.71/1.93 (step @p5739 :rule nary_cong :premises (@p3164 @p3227 @p5738) :args (@t5622)) % 1.71/1.93 (step @p5740 :rule cong :premises (@p5739) :args ((forall @t1138 @t5622))) % 1.71/1.93 (step @p5741 :rule trans :premises (@p5740 @p5737)) % 1.71/1.93 (step @p5742 :rule aci_norm :args ((= (or @t4609 @t5623) @t5622))) % 1.71/1.93 (step @p5743 :rule bool-impl-elim :args (@t1137 @t5623)) % 1.71/1.93 (step @p5744 :rule trans :premises (@p5743 @p5742)) % 1.71/1.93 (step @p5745 :rule cong :premises (@p5744) :args ((forall @t1138 (=> @t1137 @t5623)))) % 1.71/1.93 (step @p5746 :rule trans :premises (@p5745 @p5741)) % 1.71/1.93 (step @p5747 :rule nary_cong :premises (@p1615 @p5104 @p4782) :args (@t5624)) % 1.71/1.93 (step @p5748 :rule cong :premises (@p5747) :args (@t5625)) % 1.71/1.93 (step @p5749 :rule refl :args (@t4625)) % 1.71/1.93 (step @p5750 :rule nary_cong :premises (@p5749 @p5748) :args (@t5626)) % 1.71/1.93 (step @p5751 :rule quant-miniscope-or :args ((= (forall @t9 @t5627) @t5626))) % 1.71/1.93 (step @p5752 :rule aci_norm :args ((= @t5628 @t5627))) % 1.71/1.93 (step @p5753 :rule cong :premises (@p5752) :args ((forall @t9 @t5628))) % 1.71/1.93 (step @p5754 :rule trans :premises (@p5753 @p5751)) % 1.71/1.93 (step @p5755 :rule trans :premises (@p5754 @p5750)) % 1.71/1.93 (step @p5756 :rule aci_norm :args ((= (or @t197 @t5629) @t5628))) % 1.71/1.93 (step @p5757 :rule aci_norm :args ((= (or @t4625 (or @t1226 @t1218)) @t5629))) % 1.71/1.93 (step @p5758 :rule bool-impl-elim :args (@t1169 @t1218)) % 1.71/1.93 (step @p5759 :rule refl :args (@t4625)) % 1.71/1.93 (step @p5760 :rule nary_cong :premises (@p5759 @p5758) :args ((or @t4625 @t1234))) % 1.71/1.93 (step @p5761 :rule trans :premises (@p5760 @p5757)) % 1.71/1.93 (step @p5762 :rule bool-impl-elim :args (@t1236 @t1234)) % 1.71/1.93 (step @p5763 :rule trans :premises (@p5762 @p5761)) % 1.71/1.93 (step @p5764 :rule nary_cong :premises (@p4095 @p5763) :args ((or @t197 @t1237))) % 1.71/1.93 (step @p5765 :rule trans :premises (@p5764 @p5756)) % 1.71/1.93 (step @p5766 :rule bool-impl-elim :args (@t7 @t1237)) % 1.71/1.93 (step @p5767 :rule trans :premises (@p5766 @p5765)) % 1.71/1.93 (step @p5768 :rule cong :premises (@p5767) :args (@t1238)) % 1.71/1.93 (step @p5769 :rule trans :premises (@p5768 @p5755)) % 1.71/1.93 (step @p5770 :rule cong :premises (@p3355 @p5769) :args (@t1239)) % 1.71/1.93 (step @p5771 :rule cong :premises (@p5770) :args (@t1240)) % 1.71/1.93 (step @p5772 :rule trans :premises (@p5771 @p5746)) % 1.71/1.93 (step @p5773 :rule cong :premises (@p3170 @p5772) :args (@t1241)) % 1.71/1.93 (step @p5774 :rule cong :premises (@p5773) :args (@t1242)) % 1.71/1.93 (step @p5775 :rule trans :premises (@p5774 @p5726)) % 1.71/1.93 (step @p5776 :rule refl :args (tptp.contrasubsetT)) % 1.71/1.93 (step @p5777 :rule cong :premises (@p5776 @p5775) :args (@t1243)) % 1.71/1.93 (step @p5778 :rule eq_resolve :premises (@p240 @p5777)) % 1.71/1.93 (step @p5779 :rule cong :premises (@p5778 @p5708) :args (@t5630)) % 1.71/1.93 (step @p5780 :rule aci_norm :args ((= @t5632 @t2714))) % 1.71/1.93 (step @p5781 :rule cong :premises (@p5780) :args (@t5633)) % 1.71/1.93 (step @p5782 :rule quant-merge-prenex :args ((= (forall @t1142 @t5635) @t5633))) % 1.71/1.93 (step @p5783 :rule alpha_equiv :args (@t5636 (@list @t2708 @t2709) (@list @t1132 @t5637))) % 1.71/1.93 (step @p5784 :rule nary_cong :premises (@p3075 @p5783) :args (@t5638)) % 1.71/1.93 (step @p5785 :rule quant-miniscope-or :args ((= @t5635 @t5638))) % 1.71/1.93 (step @p5786 :rule trans :premises (@p5785 @p5784)) % 1.71/1.93 (step @p5787 :rule symm :premises (@p5786)) % 1.71/1.93 (step @p5788 :rule cong :premises (@p5787) :args ((forall @t1142 (or @t2416 @t5644)))) % 1.71/1.93 (step @p5789 :rule trans :premises (@p5788 @p5782)) % 1.71/1.93 (step @p5790 :rule trans :premises (@p5789 @p5781)) % 1.71/1.93 (step @p5791 :rule refl :args (@t5644)) % 1.71/1.93 (step @p5792 :rule nary_cong :premises (@p3101 @p5791) :args (@t5645)) % 1.71/1.93 (step @p5793 :rule cong :premises (@p5792) :args ((forall @t1142 @t5645))) % 1.71/1.93 (step @p5794 :rule trans :premises (@p5793 @p5790)) % 1.71/1.93 (step @p5795 :rule bool-impl-elim :args (@t1140 @t5644)) % 1.71/1.93 (step @p5796 :rule cong :premises (@p5795) :args ((forall @t1142 (=> @t1140 @t5644)))) % 1.71/1.93 (step @p5797 :rule trans :premises (@p5796 @p5794)) % 1.71/1.93 (step @p5798 :rule aci_norm :args ((= @t5647 @t5642))) % 1.71/1.93 (step @p5799 :rule cong :premises (@p5798) :args (@t5648)) % 1.71/1.93 (step @p5800 :rule quant-merge-prenex :args ((= (forall @t1138 @t5650) @t5648))) % 1.71/1.93 (step @p5801 :rule alpha_equiv :args (@t5651 (@list @t5637) @t3867)) % 1.71/1.93 (step @p5802 :rule nary_cong :premises (@p3272 @p5801) :args (@t5652)) % 1.71/1.93 (step @p5803 :rule quant-miniscope-or :args ((= @t5650 @t5652))) % 1.71/1.93 (step @p5804 :rule trans :premises (@p5803 @p5802)) % 1.71/1.93 (step @p5805 :rule symm :premises (@p5804)) % 1.71/1.93 (step @p5806 :rule cong :premises (@p5805) :args ((forall @t1138 (or @t4605 @t5653)))) % 1.71/1.93 (step @p5807 :rule trans :premises (@p5806 @p5800)) % 1.71/1.93 (step @p5808 :rule trans :premises (@p5807 @p5799)) % 1.71/1.93 (step @p5809 :rule refl :args (@t5653)) % 1.71/1.93 (step @p5810 :rule nary_cong :premises (@p3164 @p5809) :args (@t5654)) % 1.71/1.93 (step @p5811 :rule cong :premises (@p5810) :args ((forall @t1138 @t5654))) % 1.71/1.93 (step @p5812 :rule trans :premises (@p5811 @p5808)) % 1.71/1.93 (step @p5813 :rule bool-impl-elim :args (@t1137 @t5653)) % 1.71/1.93 (step @p5814 :rule cong :premises (@p5813) :args ((forall @t1138 (=> @t1137 @t5653)))) % 1.71/1.93 (step @p5815 :rule trans :premises (@p5814 @p5812)) % 1.71/1.93 (step @p5816 :rule nary_cong :premises (@p1615 @p4601 @p3987) :args (@t5655)) % 1.71/1.93 (step @p5817 :rule cong :premises (@p5816) :args ((forall @t9 @t5655))) % 1.71/1.93 (step @p5818 :rule aci_norm :args ((= (or @t197 (or @t1169 @t1217)) @t5655))) % 1.71/1.93 (step @p5819 :rule refl :args (@t1217)) % 1.71/1.93 (step @p5820 :rule nary_cong :premises (@p4612 @p5819) :args ((or @t5160 @t1217))) % 1.71/1.93 (step @p5821 :rule bool-impl-elim :args (@t1226 @t1217)) % 1.71/1.93 (step @p5822 :rule trans :premises (@p5821 @p5820)) % 1.71/1.93 (step @p5823 :rule nary_cong :premises (@p4095 @p5822) :args ((or @t197 @t1227))) % 1.71/1.93 (step @p5824 :rule trans :premises (@p5823 @p5818)) % 1.71/1.93 (step @p5825 :rule bool-impl-elim :args (@t7 @t1227)) % 1.71/1.93 (step @p5826 :rule trans :premises (@p5825 @p5824)) % 1.71/1.93 (step @p5827 :rule cong :premises (@p5826) :args (@t1228)) % 1.71/1.93 (step @p5828 :rule trans :premises (@p5827 @p5817)) % 1.71/1.93 (step @p5829 :rule cong :premises (@p3355 @p5828) :args (@t1229)) % 1.71/1.93 (step @p5830 :rule cong :premises (@p5829) :args (@t1230)) % 1.71/1.93 (step @p5831 :rule trans :premises (@p5830 @p5815)) % 1.71/1.93 (step @p5832 :rule cong :premises (@p3170 @p5831) :args (@t1231)) % 1.71/1.93 (step @p5833 :rule cong :premises (@p5832) :args (@t1232)) % 1.71/1.93 (step @p5834 :rule trans :premises (@p5833 @p5797)) % 1.71/1.93 (step @p5835 :rule refl :args (tptp.binintersectTERcontra)) % 1.71/1.93 (step @p5836 :rule cong :premises (@p5835 @p5834) :args (@t1233)) % 1.71/1.93 (step @p5837 :rule eq_resolve :premises (@p239 @p5836)) % 1.71/1.93 (step @p5838 :rule cong :premises (@p5837 @p5779) :args (@t5656)) % 1.71/1.93 (step @p5839 :rule aci_norm :args ((= @t5658 @t2722))) % 1.71/1.93 (step @p5840 :rule cong :premises (@p5839) :args (@t5659)) % 1.71/1.93 (step @p5841 :rule quant-merge-prenex :args ((= (forall @t1142 @t5661) @t5659))) % 1.71/1.93 (step @p5842 :rule alpha_equiv :args (@t5662 (@list @t2716 @t2717) (@list @t1132 @t5663))) % 1.71/1.93 (step @p5843 :rule nary_cong :premises (@p3075 @p5842) :args (@t5664)) % 1.71/1.93 (step @p5844 :rule quant-miniscope-or :args ((= @t5661 @t5664))) % 1.71/1.93 (step @p5845 :rule trans :premises (@p5844 @p5843)) % 1.71/1.93 (step @p5846 :rule symm :premises (@p5845)) % 1.71/1.93 (step @p5847 :rule cong :premises (@p5846) :args ((forall @t1142 (or @t2416 @t5670)))) % 1.71/1.93 (step @p5848 :rule trans :premises (@p5847 @p5841)) % 1.71/1.93 (step @p5849 :rule trans :premises (@p5848 @p5840)) % 1.71/1.93 (step @p5850 :rule refl :args (@t5670)) % 1.71/1.93 (step @p5851 :rule nary_cong :premises (@p3101 @p5850) :args (@t5671)) % 1.71/1.93 (step @p5852 :rule cong :premises (@p5851) :args ((forall @t1142 @t5671))) % 1.71/1.93 (step @p5853 :rule trans :premises (@p5852 @p5849)) % 1.71/1.93 (step @p5854 :rule bool-impl-elim :args (@t1140 @t5670)) % 1.71/1.93 (step @p5855 :rule cong :premises (@p5854) :args ((forall @t1142 (=> @t1140 @t5670)))) % 1.71/1.93 (step @p5856 :rule trans :premises (@p5855 @p5853)) % 1.71/1.93 (step @p5857 :rule aci_norm :args ((= @t5673 @t5668))) % 1.71/1.93 (step @p5858 :rule cong :premises (@p5857) :args (@t5674)) % 1.71/1.93 (step @p5859 :rule quant-merge-prenex :args ((= (forall @t1138 @t5676) @t5674))) % 1.71/1.93 (step @p5860 :rule alpha_equiv :args (@t5677 (@list @t5663) @t3867)) % 1.71/1.93 (step @p5861 :rule nary_cong :premises (@p3272 @p5860) :args (@t5678)) % 1.71/1.93 (step @p5862 :rule quant-miniscope-or :args ((= @t5676 @t5678))) % 1.71/1.93 (step @p5863 :rule trans :premises (@p5862 @p5861)) % 1.71/1.93 (step @p5864 :rule symm :premises (@p5863)) % 1.71/1.93 (step @p5865 :rule cong :premises (@p5864) :args ((forall @t1138 (or @t4605 @t5679)))) % 1.71/1.93 (step @p5866 :rule trans :premises (@p5865 @p5859)) % 1.71/1.93 (step @p5867 :rule trans :premises (@p5866 @p5858)) % 1.71/1.93 (step @p5868 :rule refl :args (@t5679)) % 1.71/1.93 (step @p5869 :rule nary_cong :premises (@p3164 @p5868) :args (@t5680)) % 1.71/1.93 (step @p5870 :rule cong :premises (@p5869) :args ((forall @t1138 @t5680))) % 1.71/1.93 (step @p5871 :rule trans :premises (@p5870 @p5867)) % 1.71/1.93 (step @p5872 :rule bool-impl-elim :args (@t1137 @t5679)) % 1.71/1.93 (step @p5873 :rule cong :premises (@p5872) :args ((forall @t1138 (=> @t1137 @t5679)))) % 1.71/1.93 (step @p5874 :rule trans :premises (@p5873 @p5871)) % 1.71/1.93 (step @p5875 :rule nary_cong :premises (@p1615 @p4606 @p3987) :args (@t5681)) % 1.71/1.93 (step @p5876 :rule cong :premises (@p5875) :args ((forall @t9 @t5681))) % 1.71/1.93 (step @p5877 :rule aci_norm :args ((= (or @t197 (or @t696 @t1217)) @t5681))) % 1.71/1.93 (step @p5878 :rule nary_cong :premises (@p4619 @p5819) :args ((or @t5161 @t1217))) % 1.71/1.93 (step @p5879 :rule bool-impl-elim :args (@t1218 @t1217)) % 1.71/1.93 (step @p5880 :rule trans :premises (@p5879 @p5878)) % 1.71/1.94 (step @p5881 :rule nary_cong :premises (@p4095 @p5880) :args ((or @t197 @t1219))) % 1.71/1.94 (step @p5882 :rule trans :premises (@p5881 @p5877)) % 1.71/1.94 (step @p5883 :rule bool-impl-elim :args (@t7 @t1219)) % 1.71/1.94 (step @p5884 :rule trans :premises (@p5883 @p5882)) % 1.71/1.94 (step @p5885 :rule cong :premises (@p5884) :args (@t1220)) % 1.71/1.94 (step @p5886 :rule trans :premises (@p5885 @p5876)) % 1.71/1.94 (step @p5887 :rule cong :premises (@p3355 @p5886) :args (@t1221)) % 1.71/1.94 (step @p5888 :rule cong :premises (@p5887) :args (@t1222)) % 1.71/1.94 (step @p5889 :rule trans :premises (@p5888 @p5874)) % 1.71/1.94 (step @p5890 :rule cong :premises (@p3170 @p5889) :args (@t1223)) % 1.71/1.94 (step @p5891 :rule cong :premises (@p5890) :args (@t1224)) % 1.71/1.94 (step @p5892 :rule trans :premises (@p5891 @p5856)) % 1.71/1.94 (step @p5893 :rule refl :args (tptp.binintersectTELcontra)) % 1.71/1.94 (step @p5894 :rule cong :premises (@p5893 @p5892) :args (@t1225)) % 1.71/1.94 (step @p5895 :rule eq_resolve :premises (@p238 @p5894)) % 1.71/1.94 (step @p5896 :rule cong :premises (@p5895 @p5838) :args (@t5682)) % 1.71/1.94 (step @p5897 :rule aci_norm :args ((= @t5684 @t2728))) % 1.71/1.94 (step @p5898 :rule cong :premises (@p5897) :args (@t5685)) % 1.71/1.94 (step @p5899 :rule quant-merge-prenex :args ((= (forall @t1142 @t5687) @t5685))) % 1.71/1.94 (step @p5900 :rule alpha_equiv :args (@t5688 (@list @t2724) @t3867)) % 1.71/1.94 (step @p5901 :rule nary_cong :premises (@p3075 @p5900) :args (@t5689)) % 1.71/1.94 (step @p5902 :rule quant-miniscope-or :args ((= @t5687 @t5689))) % 1.71/1.94 (step @p5903 :rule trans :premises (@p5902 @p5901)) % 1.71/1.94 (step @p5904 :rule symm :premises (@p5903)) % 1.71/1.94 (step @p5905 :rule cong :premises (@p5904) :args ((forall @t1142 (or @t2416 @t5690)))) % 1.71/1.94 (step @p5906 :rule trans :premises (@p5905 @p5899)) % 1.71/1.94 (step @p5907 :rule trans :premises (@p5906 @p5898)) % 1.71/1.94 (step @p5908 :rule refl :args (@t5690)) % 1.71/1.94 (step @p5909 :rule nary_cong :premises (@p3101 @p5908) :args (@t5691)) % 1.71/1.94 (step @p5910 :rule cong :premises (@p5909) :args ((forall @t1142 @t5691))) % 1.71/1.94 (step @p5911 :rule trans :premises (@p5910 @p5907)) % 1.71/1.94 (step @p5912 :rule bool-impl-elim :args (@t1140 @t5690)) % 1.71/1.94 (step @p5913 :rule cong :premises (@p5912) :args ((forall @t1142 (=> @t1140 @t5690)))) % 1.71/1.94 (step @p5914 :rule trans :premises (@p5913 @p5911)) % 1.71/1.94 (step @p5915 :rule nary_cong :premises (@p1615 @p4168 @p4606) :args (@t5692)) % 1.71/1.94 (step @p5916 :rule cong :premises (@p5915) :args ((forall @t9 @t5692))) % 1.71/1.94 (step @p5917 :rule aci_norm :args ((= (or @t197 (or @t1204 @t696)) @t5692))) % 1.71/1.94 (step @p5918 :rule bool-double-not-elim :args (@t1204)) % 1.71/1.94 (step @p5919 :rule nary_cong :premises (@p5918 @p4603) :args ((or (not @t1205) @t696))) % 1.71/1.94 (step @p5920 :rule bool-impl-elim :args (@t1205 @t696)) % 1.71/1.94 (step @p5921 :rule trans :premises (@p5920 @p5919)) % 1.71/1.94 (step @p5922 :rule nary_cong :premises (@p4095 @p5921) :args ((or @t197 @t1211))) % 1.71/1.94 (step @p5923 :rule trans :premises (@p5922 @p5917)) % 1.71/1.94 (step @p5924 :rule bool-impl-elim :args (@t7 @t1211)) % 1.71/1.94 (step @p5925 :rule trans :premises (@p5924 @p5923)) % 1.71/1.94 (step @p5926 :rule cong :premises (@p5925) :args (@t1212)) % 1.71/1.94 (step @p5927 :rule trans :premises (@p5926 @p5916)) % 1.71/1.94 (step @p5928 :rule cong :premises (@p3170 @p5927) :args (@t1213)) % 1.71/1.94 (step @p5929 :rule cong :premises (@p5928) :args (@t1214)) % 1.71/1.94 (step @p5930 :rule trans :premises (@p5929 @p5914)) % 1.71/1.94 (step @p5931 :rule refl :args (tptp.complementTE1)) % 1.71/1.94 (step @p5932 :rule cong :premises (@p5931 @p5930) :args (@t1215)) % 1.71/1.94 (step @p5933 :rule eq_resolve :premises (@p237 @p5932)) % 1.71/1.94 (step @p5934 :rule cong :premises (@p5933 @p5896) :args (@t5693)) % 1.71/1.94 (step @p5935 :rule aci_norm :args ((= @t5695 @t2734))) % 1.71/1.94 (step @p5936 :rule cong :premises (@p5935) :args (@t5696)) % 1.71/1.94 (step @p5937 :rule quant-merge-prenex :args ((= (forall @t1142 @t5698) @t5696))) % 1.71/1.94 (step @p5938 :rule alpha_equiv :args (@t5699 (@list @t2730) @t3867)) % 1.71/1.94 (step @p5939 :rule nary_cong :premises (@p3075 @p5938) :args (@t5700)) % 1.71/1.94 (step @p5940 :rule quant-miniscope-or :args ((= @t5698 @t5700))) % 1.71/1.94 (step @p5941 :rule trans :premises (@p5940 @p5939)) % 1.71/1.94 (step @p5942 :rule symm :premises (@p5941)) % 1.71/1.94 (step @p5943 :rule cong :premises (@p5942) :args ((forall @t1142 (or @t2416 @t5701)))) % 1.71/1.94 (step @p5944 :rule trans :premises (@p5943 @p5937)) % 1.71/1.94 (step @p5945 :rule trans :premises (@p5944 @p5936)) % 1.71/1.94 (step @p5946 :rule refl :args (@t5701)) % 1.71/1.94 (step @p5947 :rule nary_cong :premises (@p3101 @p5946) :args (@t5702)) % 1.71/1.94 (step @p5948 :rule cong :premises (@p5947) :args ((forall @t1142 @t5702))) % 1.71/1.94 (step @p5949 :rule trans :premises (@p5948 @p5945)) % 1.71/1.94 (step @p5950 :rule bool-impl-elim :args (@t1140 @t5701)) % 1.71/1.94 (step @p5951 :rule cong :premises (@p5950) :args ((forall @t1142 (=> @t1140 @t5701)))) % 1.71/1.94 (step @p5952 :rule trans :premises (@p5951 @p5949)) % 1.71/1.94 (step @p5953 :rule nary_cong :premises (@p1615 @p4782 @p4169) :args (@t5703)) % 1.71/1.94 (step @p5954 :rule cong :premises (@p5953) :args ((forall @t9 @t5703))) % 1.71/1.94 (step @p5955 :rule aci_norm :args ((= (or @t197 (or @t1218 @t1205)) @t5703))) % 1.71/1.94 (step @p5956 :rule bool-impl-elim :args (@t696 @t1205)) % 1.71/1.94 (step @p5957 :rule nary_cong :premises (@p4095 @p5956) :args ((or @t197 @t1206))) % 1.71/1.94 (step @p5958 :rule trans :premises (@p5957 @p5955)) % 1.71/1.94 (step @p5959 :rule bool-impl-elim :args (@t7 @t1206)) % 1.71/1.94 (step @p5960 :rule trans :premises (@p5959 @p5958)) % 1.71/1.94 (step @p5961 :rule cong :premises (@p5960) :args (@t1207)) % 1.71/1.94 (step @p5962 :rule trans :premises (@p5961 @p5954)) % 1.71/1.94 (step @p5963 :rule cong :premises (@p3170 @p5962) :args (@t1208)) % 1.71/1.94 (step @p5964 :rule cong :premises (@p5963) :args (@t1209)) % 1.71/1.94 (step @p5965 :rule trans :premises (@p5964 @p5952)) % 1.71/1.94 (step @p5966 :rule refl :args (tptp.complementTI1)) % 1.71/1.94 (step @p5967 :rule cong :premises (@p5966 @p5965) :args (@t1210)) % 1.71/1.94 (step @p5968 :rule eq_resolve :premises (@p236 @p5967)) % 1.71/1.94 (step @p5969 :rule cong :premises (@p5968 @p5934) :args (@t5704)) % 1.71/1.94 (step @p5970 :rule aci_norm :args ((= @t5706 @t2743))) % 1.71/1.94 (step @p5971 :rule cong :premises (@p5970) :args (@t5707)) % 1.71/1.94 (step @p5972 :rule quant-merge-prenex :args ((= (forall @t1142 @t5709) @t5707))) % 1.71/1.94 (step @p5973 :rule alpha_equiv :args (@t5710 (@list @t2736 @t2737) (@list @t1132 @t5711))) % 1.71/1.94 (step @p5974 :rule nary_cong :premises (@p3075 @p5973) :args (@t5712)) % 1.71/1.94 (step @p5975 :rule quant-miniscope-or :args ((= @t5709 @t5712))) % 1.71/1.94 (step @p5976 :rule trans :premises (@p5975 @p5974)) % 1.71/1.94 (step @p5977 :rule symm :premises (@p5976)) % 1.71/1.94 (step @p5978 :rule cong :premises (@p5977) :args ((forall @t1142 (or @t2416 @t5721)))) % 1.71/1.94 (step @p5979 :rule trans :premises (@p5978 @p5972)) % 1.71/1.94 (step @p5980 :rule trans :premises (@p5979 @p5971)) % 1.71/1.94 (step @p5981 :rule refl :args (@t5721)) % 1.71/1.94 (step @p5982 :rule nary_cong :premises (@p3101 @p5981) :args (@t5722)) % 1.71/1.94 (step @p5983 :rule cong :premises (@p5982) :args ((forall @t1142 @t5722))) % 1.71/1.94 (step @p5984 :rule trans :premises (@p5983 @p5980)) % 1.71/1.94 (step @p5985 :rule bool-impl-elim :args (@t1140 @t5721)) % 1.71/1.94 (step @p5986 :rule cong :premises (@p5985) :args ((forall @t1142 (=> @t1140 @t5721)))) % 1.71/1.94 (step @p5987 :rule trans :premises (@p5986 @p5984)) % 1.71/1.94 (step @p5988 :rule aci_norm :args ((= @t5724 @t5719))) % 1.71/1.94 (step @p5989 :rule cong :premises (@p5988) :args (@t5725)) % 1.71/1.94 (step @p5990 :rule quant-merge-prenex :args ((= (forall @t1138 @t5727) @t5725))) % 1.71/1.94 (step @p5991 :rule alpha_equiv :args (@t5728 (@list @t5711) @t3867)) % 1.71/1.94 (step @p5992 :rule refl :args (@t5718)) % 1.71/1.94 (step @p5993 :rule nary_cong :premises (@p3272 @p5992 @p5991) :args (@t5729)) % 1.71/1.94 (step @p5994 :rule quant-miniscope-or :args ((= @t5727 @t5729))) % 1.71/1.94 (step @p5995 :rule trans :premises (@p5994 @p5993)) % 1.71/1.94 (step @p5996 :rule symm :premises (@p5995)) % 1.71/1.94 (step @p5997 :rule cong :premises (@p5996) :args ((forall @t1138 (or @t4605 @t5718 @t5730)))) % 1.71/1.94 (step @p5998 :rule trans :premises (@p5997 @p5990)) % 1.71/1.94 (step @p5999 :rule trans :premises (@p5998 @p5989)) % 1.71/1.94 (step @p6000 :rule refl :args (@t5730)) % 1.71/1.94 (step @p6001 :rule refl :args ((tptp.in @t695 @t1189))) % 1.71/1.94 (step @p6002 :rule refl :args (@t5716)) % 1.71/1.94 (step @p6003 :rule cong :premises (@p3086 @p6002) :args (@t5717)) % 1.71/1.94 (step @p6004 :rule trans :premises (@p6003 @p6001)) % 1.71/1.94 (step @p6005 :rule ho_cong :premises (@p3089 @p6002)) % 1.71/1.94 (step @p6006 :rule cong :premises (@p6005 @p6004) :args ((= (_ @t697 @t5716) @t5717))) % 1.71/1.94 (step @p6007 :rule symm :premises (@p6006)) % 1.71/1.94 (step @p6008 :rule refl :args (@t1190)) % 1.71/1.94 (step @p6009 :rule eq_resolve :premises (@p6008 @p6007)) % 1.71/1.94 (step @p6010 :rule refl :args (@t1189)) % 1.71/1.94 (step @p6011 :rule cong :premises (@p6010 @p6002) :args ((= @t1189 @t5716))) % 1.71/1.94 (step @p6012 :rule symm :premises (@p6011)) % 1.71/1.94 (step @p6013 :rule eq_resolve :premises (@p6010 @p6012)) % 1.71/1.94 (step @p6014 :rule ho_cong :premises (@p3089 @p6013)) % 1.71/1.94 (step @p6015 :rule trans :premises (@p6014 @p6009)) % 1.71/1.94 (step @p6016 :rule cong :premises (@p6015) :args (@t5731)) % 1.71/1.94 (step @p6017 :rule nary_cong :premises (@p3164 @p6016 @p6000) :args (@t5732)) % 1.71/1.94 (step @p6018 :rule cong :premises (@p6017) :args ((forall @t1138 @t5732))) % 1.71/1.94 (step @p6019 :rule trans :premises (@p6018 @p5999)) % 1.71/1.94 (step @p6020 :rule aci_norm :args ((= (or @t4609 @t5733) @t5732))) % 1.71/1.94 (step @p6021 :rule bool-impl-elim :args (@t1137 @t5733)) % 1.71/1.94 (step @p6022 :rule trans :premises (@p6021 @p6020)) % 1.71/1.94 (step @p6023 :rule cong :premises (@p6022) :args ((forall @t1138 (=> @t1137 @t5733)))) % 1.71/1.94 (step @p6024 :rule trans :premises (@p6023 @p6019)) % 1.71/1.94 (step @p6025 :rule nary_cong :premises (@p1615 @p4782 @p4601) :args (@t5734)) % 1.71/1.94 (step @p6026 :rule cong :premises (@p6025) :args (@t5735)) % 1.71/1.94 (step @p6027 :rule refl :args (@t5731)) % 1.71/1.94 (step @p6028 :rule nary_cong :premises (@p6027 @p6026) :args (@t5736)) % 1.71/1.94 (step @p6029 :rule quant-miniscope-or :args ((= (forall @t9 @t5737) @t5736))) % 1.71/1.94 (step @p6030 :rule aci_norm :args ((= @t5738 @t5737))) % 1.71/1.94 (step @p6031 :rule cong :premises (@p6030) :args ((forall @t9 @t5738))) % 1.71/1.94 (step @p6032 :rule trans :premises (@p6031 @p6029)) % 1.71/1.94 (step @p6033 :rule trans :premises (@p6032 @p6028)) % 1.71/1.94 (step @p6034 :rule aci_norm :args ((= (or @t197 @t5739) @t5738))) % 1.71/1.94 (step @p6035 :rule aci_norm :args ((= (or @t5731 @t5740) @t5739))) % 1.71/1.94 (step @p6036 :rule bool-impl-elim :args (@t696 @t1169)) % 1.71/1.94 (step @p6037 :rule refl :args (@t5731)) % 1.71/1.94 (step @p6038 :rule nary_cong :premises (@p6037 @p6036) :args ((or @t5731 @t1173))) % 1.71/1.94 (step @p6039 :rule trans :premises (@p6038 @p6035)) % 1.71/1.94 (step @p6040 :rule bool-impl-elim :args (@t1190 @t1173)) % 1.71/1.94 (step @p6041 :rule trans :premises (@p6040 @p6039)) % 1.71/1.94 (step @p6042 :rule nary_cong :premises (@p4095 @p6041) :args ((or @t197 @t1197))) % 1.71/1.94 (step @p6043 :rule trans :premises (@p6042 @p6034)) % 1.71/1.94 (step @p6044 :rule bool-impl-elim :args (@t7 @t1197)) % 1.71/1.94 (step @p6045 :rule trans :premises (@p6044 @p6043)) % 1.71/1.94 (step @p6046 :rule cong :premises (@p6045) :args (@t1198)) % 1.71/1.94 (step @p6047 :rule trans :premises (@p6046 @p6033)) % 1.71/1.94 (step @p6048 :rule cong :premises (@p3355 @p6047) :args (@t1199)) % 1.71/1.94 (step @p6049 :rule cong :premises (@p6048) :args (@t1200)) % 1.71/1.94 (step @p6050 :rule trans :premises (@p6049 @p6024)) % 1.71/1.94 (step @p6051 :rule cong :premises (@p3170 @p6050) :args (@t1201)) % 1.71/1.94 (step @p6052 :rule cong :premises (@p6051) :args (@t1202)) % 1.71/1.94 (step @p6053 :rule trans :premises (@p6052 @p5987)) % 1.71/1.94 (step @p6054 :rule refl :args (tptp.powersetTE1)) % 1.71/1.94 (step @p6055 :rule cong :premises (@p6054 @p6053) :args (@t1203)) % 1.71/1.94 (step @p6056 :rule eq_resolve :premises (@p235 @p6055)) % 1.71/1.94 (step @p6057 :rule cong :premises (@p6056 @p5969) :args (@t5741)) % 1.71/1.94 (step @p6058 :rule aci_norm :args ((= @t5743 @t2751))) % 1.71/1.94 (step @p6059 :rule cong :premises (@p6058) :args (@t5744)) % 1.71/1.94 (step @p6060 :rule quant-merge-prenex :args ((= (forall @t1142 @t5746) @t5744))) % 1.71/1.94 (step @p6061 :rule alpha_equiv :args (@t5747 (@list @t2745) @t4599)) % 1.71/1.94 (step @p6062 :rule nary_cong :premises (@p3075 @p6061) :args (@t5748)) % 1.71/1.94 (step @p6063 :rule quant-miniscope-or :args ((= @t5746 @t5748))) % 1.71/1.94 (step @p6064 :rule trans :premises (@p6063 @p6062)) % 1.71/1.94 (step @p6065 :rule symm :premises (@p6064)) % 1.71/1.94 (step @p6066 :rule cong :premises (@p6065) :args ((forall @t1142 (or @t2416 @t5750)))) % 1.71/1.94 (step @p6067 :rule trans :premises (@p6066 @p6060)) % 1.71/1.94 (step @p6068 :rule trans :premises (@p6067 @p6059)) % 1.71/1.94 (step @p6069 :rule refl :args (@t5750)) % 1.71/1.94 (step @p6070 :rule nary_cong :premises (@p3101 @p6069) :args (@t5751)) % 1.71/1.94 (step @p6071 :rule cong :premises (@p6070) :args ((forall @t1142 @t5751))) % 1.71/1.94 (step @p6072 :rule trans :premises (@p6071 @p6068)) % 1.71/1.94 (step @p6073 :rule bool-impl-elim :args (@t1140 @t5750)) % 1.71/1.94 (step @p6074 :rule cong :premises (@p6073) :args ((forall @t1142 (=> @t1140 @t5750)))) % 1.71/1.94 (step @p6075 :rule trans :premises (@p6074 @p6072)) % 1.71/1.94 (step @p6076 :rule refl :args (@t5749)) % 1.71/1.94 (step @p6077 :rule nary_cong :premises (@p3164 @p6076 @p6015) :args (@t5752)) % 1.71/1.94 (step @p6078 :rule cong :premises (@p6077) :args ((forall @t1138 @t5752))) % 1.71/1.94 (step @p6079 :rule aci_norm :args ((= (or @t4609 (or @t5749 @t1190)) @t5752))) % 1.71/1.94 (step @p6080 :rule bool-impl-elim :args (@t5730 @t1190)) % 1.71/1.94 (step @p6081 :rule nary_cong :premises (@p3232 @p6080) :args ((or @t4609 @t5753))) % 1.71/1.94 (step @p6082 :rule trans :premises (@p6081 @p6079)) % 1.71/1.94 (step @p6083 :rule bool-impl-elim :args (@t1137 @t5753)) % 1.71/1.94 (step @p6084 :rule trans :premises (@p6083 @p6082)) % 1.71/1.94 (step @p6085 :rule cong :premises (@p6084) :args ((forall @t1138 (=> @t1137 @t5753)))) % 1.71/1.94 (step @p6086 :rule trans :premises (@p6085 @p6078)) % 1.71/1.94 (step @p6087 :rule refl :args (@t1190)) % 1.71/1.94 (step @p6088 :rule aci_norm :args ((= (or @t197 @t5740) @t5734))) % 1.71/1.94 (step @p6089 :rule nary_cong :premises (@p4095 @p6036) :args ((or @t197 @t1173))) % 1.71/1.94 (step @p6090 :rule trans :premises (@p6089 @p6088)) % 1.71/1.94 (step @p6091 :rule bool-impl-elim :args (@t7 @t1173)) % 1.71/1.94 (step @p6092 :rule trans :premises (@p6091 @p6090)) % 1.71/1.94 (step @p6093 :rule cong :premises (@p6092) :args (@t1174)) % 1.71/1.94 (step @p6094 :rule trans :premises (@p6093 @p6026)) % 1.71/1.94 (step @p6095 :rule cong :premises (@p6094 @p6087) :args (@t1191)) % 1.71/1.94 (step @p6096 :rule cong :premises (@p3355 @p6095) :args (@t1192)) % 1.71/1.94 (step @p6097 :rule cong :premises (@p6096) :args (@t1193)) % 1.71/1.94 (step @p6098 :rule trans :premises (@p6097 @p6086)) % 1.71/1.94 (step @p6099 :rule cong :premises (@p3170 @p6098) :args (@t1194)) % 1.71/1.94 (step @p6100 :rule cong :premises (@p6099) :args (@t1195)) % 1.71/1.94 (step @p6101 :rule trans :premises (@p6100 @p6075)) % 1.71/1.94 (step @p6102 :rule refl :args (tptp.powersetTI1)) % 1.71/1.94 (step @p6103 :rule cong :premises (@p6102 @p6101) :args (@t1196)) % 1.71/1.94 (step @p6104 :rule eq_resolve :premises (@p234 @p6103)) % 1.71/1.94 (step @p6105 :rule cong :premises (@p6104 @p6057) :args (@t5754)) % 1.71/1.94 (step @p6106 :rule aci_norm :args ((= @t5756 @t2757))) % 1.71/1.94 (step @p6107 :rule cong :premises (@p6106) :args (@t5757)) % 1.71/1.94 (step @p6108 :rule quant-merge-prenex :args ((= (forall @t1142 @t5759) @t5757))) % 1.71/1.94 (step @p6109 :rule alpha_equiv :args (@t5760 (@list @t2753) @t4599)) % 1.71/1.94 (step @p6110 :rule nary_cong :premises (@p3075 @p6109) :args (@t5761)) % 1.71/1.94 (step @p6111 :rule quant-miniscope-or :args ((= @t5759 @t5761))) % 1.71/1.94 (step @p6112 :rule trans :premises (@p6111 @p6110)) % 1.71/1.94 (step @p6113 :rule symm :premises (@p6112)) % 1.71/1.94 (step @p6114 :rule cong :premises (@p6113) :args ((forall @t1142 (or @t2416 @t5762)))) % 1.71/1.94 (step @p6115 :rule trans :premises (@p6114 @p6108)) % 1.71/1.94 (step @p6116 :rule trans :premises (@p6115 @p6107)) % 1.71/1.94 (step @p6117 :rule refl :args (@t5762)) % 1.71/1.94 (step @p6118 :rule nary_cong :premises (@p3101 @p6117) :args (@t5763)) % 1.71/1.94 (step @p6119 :rule cong :premises (@p6118) :args ((forall @t1142 @t5763))) % 1.71/1.94 (step @p6120 :rule trans :premises (@p6119 @p6116)) % 1.71/1.94 (step @p6121 :rule bool-impl-elim :args (@t1140 @t5762)) % 1.71/1.94 (step @p6122 :rule cong :premises (@p6121) :args ((forall @t1142 (=> @t1140 @t5762)))) % 1.71/1.94 (step @p6123 :rule trans :premises (@p6122 @p6120)) % 1.71/1.94 (step @p6124 :rule nary_cong :premises (@p3164 @p6076 @p3754) :args (@t5764)) % 1.71/1.94 (step @p6125 :rule cong :premises (@p6124) :args ((forall @t1138 @t5764))) % 1.71/1.94 (step @p6126 :rule aci_norm :args ((= (or @t4609 (or @t5749 @t1182)) @t5764))) % 1.71/1.94 (step @p6127 :rule bool-impl-elim :args (@t5730 @t1182)) % 1.71/1.94 (step @p6128 :rule nary_cong :premises (@p3232 @p6127) :args ((or @t4609 @t5765))) % 1.71/1.94 (step @p6129 :rule trans :premises (@p6128 @p6126)) % 1.71/1.94 (step @p6130 :rule bool-impl-elim :args (@t1137 @t5765)) % 1.71/1.94 (step @p6131 :rule trans :premises (@p6130 @p6129)) % 1.71/1.94 (step @p6132 :rule cong :premises (@p6131) :args ((forall @t1138 (=> @t1137 @t5765)))) % 1.71/1.94 (step @p6133 :rule trans :premises (@p6132 @p6125)) % 1.71/1.94 (step @p6134 :rule refl :args (@t1182)) % 1.71/1.94 (step @p6135 :rule cong :premises (@p6094 @p6134) :args (@t1183)) % 1.71/1.94 (step @p6136 :rule cong :premises (@p3355 @p6135) :args (@t1184)) % 1.71/1.94 (step @p6137 :rule cong :premises (@p6136) :args (@t1185)) % 1.71/1.94 (step @p6138 :rule trans :premises (@p6137 @p6133)) % 1.71/1.94 (step @p6139 :rule cong :premises (@p3170 @p6138) :args (@t1186)) % 1.71/1.94 (step @p6140 :rule cong :premises (@p6139) :args (@t1187)) % 1.71/1.94 (step @p6141 :rule trans :premises (@p6140 @p6123)) % 1.71/1.94 (step @p6142 :rule refl :args (tptp.subsetTI)) % 1.71/1.94 (step @p6143 :rule cong :premises (@p6142 @p6141) :args (@t1188)) % 1.71/1.94 (step @p6144 :rule eq_resolve :premises (@p233 @p6143)) % 1.71/1.94 (step @p6145 :rule cong :premises (@p6144 @p6105) :args (@t5766)) % 1.71/1.94 (step @p6146 :rule aci_norm :args ((= @t5768 @t2765))) % 1.71/1.94 (step @p6147 :rule cong :premises (@p6146) :args (@t5769)) % 1.71/1.94 (step @p6148 :rule quant-merge-prenex :args ((= (forall @t1142 @t5771) @t5769))) % 1.71/1.94 (step @p6149 :rule alpha_equiv :args (@t5772 (@list @t2759) @t4599)) % 1.71/1.94 (step @p6150 :rule nary_cong :premises (@p3075 @p6149) :args (@t5773)) % 1.71/1.94 (step @p6151 :rule quant-miniscope-or :args ((= @t5771 @t5773))) % 1.71/1.94 (step @p6152 :rule trans :premises (@p6151 @p6150)) % 1.71/1.94 (step @p6153 :rule symm :premises (@p6152)) % 1.71/1.94 (step @p6154 :rule cong :premises (@p6153) :args ((forall @t1142 (or @t2416 @t5776)))) % 1.71/1.94 (step @p6155 :rule trans :premises (@p6154 @p6148)) % 1.71/1.94 (step @p6156 :rule trans :premises (@p6155 @p6147)) % 1.71/1.94 (step @p6157 :rule refl :args (@t5776)) % 1.71/1.94 (step @p6158 :rule nary_cong :premises (@p3101 @p6157) :args (@t5777)) % 1.71/1.94 (step @p6159 :rule cong :premises (@p6158) :args ((forall @t1142 @t5777))) % 1.71/1.94 (step @p6160 :rule trans :premises (@p6159 @p6156)) % 1.71/1.94 (step @p6161 :rule bool-impl-elim :args (@t1140 @t5776)) % 1.71/1.94 (step @p6162 :rule cong :premises (@p6161) :args ((forall @t1142 (=> @t1140 @t5776)))) % 1.71/1.94 (step @p6163 :rule trans :premises (@p6162 @p6160)) % 1.71/1.94 (step @p6164 :rule refl :args (@t1168)) % 1.71/1.94 (step @p6165 :rule refl :args (@t5775)) % 1.71/1.94 (step @p6166 :rule nary_cong :premises (@p3164 @p6076 @p6165 @p6164) :args (@t5778)) % 1.71/1.94 (step @p6167 :rule cong :premises (@p6166) :args ((forall @t1138 @t5778))) % 1.71/1.94 (step @p6168 :rule aci_norm :args ((= (or @t4609 @t5779) @t5778))) % 1.71/1.94 (step @p6169 :rule aci_norm :args ((= (or @t5749 (or @t5775 @t1168)) @t5779))) % 1.71/1.94 (step @p6170 :rule bool-impl-elim :args (@t5774 @t1168)) % 1.71/1.94 (step @p6171 :rule nary_cong :premises (@p6076 @p6170) :args ((or @t5749 @t5780))) % 1.71/1.94 (step @p6172 :rule trans :premises (@p6171 @p6169)) % 1.71/1.94 (step @p6173 :rule bool-impl-elim :args (@t5730 @t5780)) % 1.71/1.94 (step @p6174 :rule trans :premises (@p6173 @p6172)) % 1.71/1.94 (step @p6175 :rule nary_cong :premises (@p3232 @p6174) :args ((or @t4609 @t5781))) % 1.71/1.94 (step @p6176 :rule trans :premises (@p6175 @p6168)) % 1.71/1.94 (step @p6177 :rule bool-impl-elim :args (@t1137 @t5781)) % 1.71/1.94 (step @p6178 :rule trans :premises (@p6177 @p6176)) % 1.71/1.94 (step @p6179 :rule cong :premises (@p6178) :args ((forall @t1138 (=> @t1137 @t5781)))) % 1.71/1.94 (step @p6180 :rule trans :premises (@p6179 @p6167)) % 1.71/1.94 (step @p6181 :rule refl :args (@t1168)) % 1.71/1.94 (step @p6182 :rule nary_cong :premises (@p1615 @p5104 @p4606) :args (@t5782)) % 1.71/1.94 (step @p6183 :rule cong :premises (@p6182) :args ((forall @t9 @t5782))) % 1.71/1.94 (step @p6184 :rule aci_norm :args ((= (or @t197 (or @t1226 @t696)) @t5782))) % 1.71/1.94 (step @p6185 :rule bool-impl-elim :args (@t1169 @t696)) % 1.71/1.94 (step @p6186 :rule nary_cong :premises (@p4095 @p6185) :args ((or @t197 @t1170))) % 1.71/1.94 (step @p6187 :rule trans :premises (@p6186 @p6184)) % 1.71/1.94 (step @p6188 :rule bool-impl-elim :args (@t7 @t1170)) % 1.71/1.94 (step @p6189 :rule trans :premises (@p6188 @p6187)) % 1.71/1.94 (step @p6190 :rule cong :premises (@p6189) :args (@t1171)) % 1.71/1.94 (step @p6191 :rule trans :premises (@p6190 @p6183)) % 1.71/1.94 (step @p6192 :rule cong :premises (@p6191 @p6181) :args (@t1172)) % 1.71/1.94 (step @p6193 :rule cong :premises (@p6094 @p6192) :args (@t1175)) % 1.71/1.94 (step @p6194 :rule cong :premises (@p3355 @p6193) :args (@t1176)) % 1.71/1.94 (step @p6195 :rule cong :premises (@p6194) :args (@t1177)) % 1.71/1.94 (step @p6196 :rule trans :premises (@p6195 @p6180)) % 1.71/1.94 (step @p6197 :rule cong :premises (@p3170 @p6196) :args (@t1178)) % 1.71/1.94 (step @p6198 :rule cong :premises (@p6197) :args (@t1179)) % 1.71/1.94 (step @p6199 :rule trans :premises (@p6198 @p6163)) % 1.71/1.94 (step @p6200 :rule refl :args (tptp.setextT)) % 1.71/1.94 (step @p6201 :rule cong :premises (@p6200 @p6199) :args (@t1180)) % 1.71/1.94 (step @p6202 :rule eq_resolve :premises (@p232 @p6201)) % 1.71/1.94 (step @p6203 :rule cong :premises (@p6202 @p6145) :args (@t5783)) % 1.71/1.94 (step @p6204 :rule refl :args ((tptp.in @t1163 @t33))) % 1.71/1.94 (step @p6205 :rule cong :premises (@p3110 @p3085) :args (@t2767)) % 1.71/1.94 (step @p6206 :rule trans :premises (@p6205 @p6204)) % 1.71/1.94 (step @p6207 :rule ho_cong :premises (@p3558 @p3085)) % 1.71/1.94 (step @p6208 :rule cong :premises (@p6207 @p6206) :args ((= (_ @t4729 @t2413) @t2767))) % 1.71/1.94 (step @p6209 :rule symm :premises (@p6208)) % 1.71/1.94 (step @p6210 :rule refl :args (@t1165)) % 1.71/1.94 (step @p6211 :rule eq_resolve :premises (@p6210 @p6209)) % 1.71/1.94 (step @p6212 :rule ho_cong :premises (@p3578 @p3098)) % 1.71/1.94 (step @p6213 :rule trans :premises (@p6212 @p6211)) % 1.71/1.94 (step @p6214 :rule nary_cong :premises (@p3101 @p6213) :args (@t5784)) % 1.71/1.94 (step @p6215 :rule cong :premises (@p6214) :args ((forall @t1142 @t5784))) % 1.71/1.94 (step @p6216 :rule bool-impl-elim :args (@t1140 @t1165)) % 1.71/1.94 (step @p6217 :rule cong :premises (@p6216) :args (@t1166)) % 1.71/1.94 (step @p6218 :rule trans :premises (@p6217 @p6215)) % 1.71/1.94 (step @p6219 :rule refl :args (tptp.complementT_lem)) % 1.71/1.94 (step @p6220 :rule cong :premises (@p6219 @p6218) :args (@t1167)) % 1.71/1.94 (step @p6221 :rule eq_resolve :premises (@p231 @p6220)) % 1.71/1.94 (step @p6222 :rule cong :premises (@p6221 @p6203) :args (@t5785)) % 1.71/1.94 (step @p6223 :rule aci_norm :args ((= @t5787 @t2771))) % 1.71/1.94 (step @p6224 :rule cong :premises (@p6223) :args (@t5788)) % 1.71/1.94 (step @p6225 :rule quant-merge-prenex :args ((= (forall @t1142 @t5790) @t5788))) % 1.71/1.94 (step @p6226 :rule alpha_equiv :args (@t5791 (@list @t2768) @t4599)) % 1.71/1.94 (step @p6227 :rule nary_cong :premises (@p3075 @p6226) :args (@t5792)) % 1.71/1.94 (step @p6228 :rule quant-miniscope-or :args ((= @t5790 @t5792))) % 1.71/1.94 (step @p6229 :rule trans :premises (@p6228 @p6227)) % 1.71/1.94 (step @p6230 :rule symm :premises (@p6229)) % 1.71/1.94 (step @p6231 :rule cong :premises (@p6230) :args ((forall @t1142 (or @t2416 @t5795)))) % 1.71/1.94 (step @p6232 :rule trans :premises (@p6231 @p6225)) % 1.71/1.94 (step @p6233 :rule trans :premises (@p6232 @p6224)) % 1.71/1.94 (step @p6234 :rule refl :args (@t5795)) % 1.71/1.94 (step @p6235 :rule nary_cong :premises (@p3101 @p6234) :args (@t5796)) % 1.71/1.94 (step @p6236 :rule cong :premises (@p6235) :args ((forall @t1142 @t5796))) % 1.71/1.94 (step @p6237 :rule trans :premises (@p6236 @p6233)) % 1.71/1.94 (step @p6238 :rule bool-impl-elim :args (@t1140 @t5795)) % 1.71/1.94 (step @p6239 :rule cong :premises (@p6238) :args ((forall @t1142 (=> @t1140 @t5795)))) % 1.71/1.94 (step @p6240 :rule trans :premises (@p6239 @p6237)) % 1.71/1.94 (step @p6241 :rule refl :args ((tptp.in @t1157 @t33))) % 1.71/1.94 (step @p6242 :rule refl :args (@t5793)) % 1.71/1.94 (step @p6243 :rule cong :premises (@p6242 @p3085) :args (@t5794)) % 1.71/1.94 (step @p6244 :rule trans :premises (@p6243 @p6241)) % 1.71/1.94 (step @p6245 :rule ho_cong :premises (@p1628 @p6242)) % 1.71/1.94 (step @p6246 :rule ho_cong :premises (@p6245 @p3085)) % 1.71/1.94 (step @p6247 :rule cong :premises (@p6246 @p6244) :args ((= (_ (_ tptp.in @t5793) @t2413) @t5794))) % 1.71/1.94 (step @p6248 :rule symm :premises (@p6247)) % 1.71/1.94 (step @p6249 :rule refl :args (@t1158)) % 1.71/1.94 (step @p6250 :rule eq_resolve :premises (@p6249 @p6248)) % 1.71/1.94 (step @p6251 :rule refl :args (@t1157)) % 1.71/1.94 (step @p6252 :rule cong :premises (@p6251 @p6242) :args ((= @t1157 @t5793))) % 1.71/1.94 (step @p6253 :rule symm :premises (@p6252)) % 1.71/1.94 (step @p6254 :rule eq_resolve :premises (@p6251 @p6253)) % 1.71/1.94 (step @p6255 :rule ho_cong :premises (@p1628 @p6254)) % 1.71/1.94 (step @p6256 :rule ho_cong :premises (@p6255 @p3098)) % 1.71/1.94 (step @p6257 :rule trans :premises (@p6256 @p6250)) % 1.71/1.94 (step @p6258 :rule nary_cong :premises (@p3164 @p6257) :args (@t5797)) % 1.71/1.94 (step @p6259 :rule cong :premises (@p6258) :args ((forall @t1138 @t5797))) % 1.71/1.94 (step @p6260 :rule bool-impl-elim :args (@t1137 @t1158)) % 1.71/1.94 (step @p6261 :rule cong :premises (@p6260) :args (@t1159)) % 1.71/1.94 (step @p6262 :rule trans :premises (@p6261 @p6259)) % 1.71/1.94 (step @p6263 :rule cong :premises (@p3170 @p6262) :args (@t1160)) % 1.71/1.94 (step @p6264 :rule cong :premises (@p6263) :args (@t1161)) % 1.71/1.94 (step @p6265 :rule trans :premises (@p6264 @p6240)) % 1.71/1.94 (step @p6266 :rule refl :args (tptp.setminusT_lem)) % 1.71/1.94 (step @p6267 :rule cong :premises (@p6266 @p6265) :args (@t1162)) % 1.71/1.94 (step @p6268 :rule eq_resolve :premises (@p230 @p6267)) % 1.71/1.94 (step @p6269 :rule cong :premises (@p6268 @p6222) :args (@t5798)) % 1.71/1.94 (step @p6270 :rule refl :args ((tptp.in @t1153 @t1152))) % 1.71/1.94 (step @p6271 :rule refl :args ((tptp.powerset @t33))) % 1.71/1.94 (step @p6272 :rule cong :premises (@p3085) :args (@t2773)) % 1.71/1.94 (step @p6273 :rule trans :premises (@p6272 @p6271)) % 1.71/1.94 (step @p6274 :rule refl :args (@t2774)) % 1.71/1.94 (step @p6275 :rule cong :premises (@p6274 @p6273) :args (@t2775)) % 1.71/1.94 (step @p6276 :rule trans :premises (@p6275 @p6270)) % 1.71/1.94 (step @p6277 :rule ho_cong :premises (@p1628 @p6274)) % 1.71/1.94 (step @p6278 :rule ho_cong :premises (@p6277 @p6273)) % 1.71/1.94 (step @p6279 :rule cong :premises (@p6278 @p6276) :args ((= (_ (_ tptp.in @t2774) @t2773) @t2775))) % 1.71/1.94 (step @p6280 :rule symm :premises (@p6279)) % 1.71/1.94 (step @p6281 :rule refl :args (@t1154)) % 1.71/1.94 (step @p6282 :rule eq_resolve :premises (@p6281 @p6280)) % 1.71/1.94 (step @p6283 :rule ho_cong :premises (@p3125 @p3085)) % 1.71/1.94 (step @p6284 :rule cong :premises (@p6283 @p6273) :args ((= (_ tptp.powerset @t2413) @t2773))) % 1.71/1.94 (step @p6285 :rule symm :premises (@p6284)) % 1.71/1.94 (step @p6286 :rule refl :args (@t1152)) % 1.71/1.94 (step @p6287 :rule eq_resolve :premises (@p6286 @p6285)) % 1.71/1.94 (step @p6288 :rule ho_cong :premises (@p3125 @p3098)) % 1.71/1.94 (step @p6289 :rule trans :premises (@p6288 @p6287)) % 1.71/1.94 (step @p6290 :rule refl :args (@t1153)) % 1.71/1.94 (step @p6291 :rule cong :premises (@p6290 @p6274) :args ((= @t1153 @t2774))) % 1.71/1.94 (step @p6292 :rule symm :premises (@p6291)) % 1.71/1.94 (step @p6293 :rule eq_resolve :premises (@p6290 @p6292)) % 1.71/1.94 (step @p6294 :rule ho_cong :premises (@p1628 @p6293)) % 1.71/1.94 (step @p6295 :rule ho_cong :premises (@p6294 @p6289)) % 1.71/1.94 (step @p6296 :rule trans :premises (@p6295 @p6282)) % 1.71/1.94 (step @p6297 :rule nary_cong :premises (@p3101 @p6296) :args (@t5799)) % 1.71/1.94 (step @p6298 :rule cong :premises (@p6297) :args ((forall @t1142 @t5799))) % 1.71/1.94 (step @p6299 :rule bool-impl-elim :args (@t1140 @t1154)) % 1.71/1.94 (step @p6300 :rule cong :premises (@p6299) :args (@t1155)) % 1.71/1.94 (step @p6301 :rule trans :premises (@p6300 @p6298)) % 1.71/1.94 (step @p6302 :rule refl :args (tptp.powersetT_lem)) % 1.71/1.94 (step @p6303 :rule cong :premises (@p6302 @p6301) :args (@t1156)) % 1.71/1.94 (step @p6304 :rule eq_resolve :premises (@p229 @p6303)) % 1.71/1.94 (step @p6305 :rule cong :premises (@p6304 @p6269) :args (@t5800)) % 1.71/1.94 (step @p6306 :rule aci_norm :args ((= @t5802 @t2779))) % 1.71/1.94 (step @p6307 :rule cong :premises (@p6306) :args (@t5803)) % 1.71/1.94 (step @p6308 :rule quant-merge-prenex :args ((= (forall @t1142 @t5805) @t5803))) % 1.71/1.94 (step @p6309 :rule alpha_equiv :args (@t5806 (@list @t2776) @t4599)) % 1.71/1.94 (step @p6310 :rule nary_cong :premises (@p3075 @p6309) :args (@t5807)) % 1.71/1.94 (step @p6311 :rule quant-miniscope-or :args ((= @t5805 @t5807))) % 1.71/1.94 (step @p6312 :rule trans :premises (@p6311 @p6310)) % 1.71/1.94 (step @p6313 :rule symm :premises (@p6312)) % 1.71/1.94 (step @p6314 :rule cong :premises (@p6313) :args ((forall @t1142 (or @t2416 @t5809)))) % 1.71/1.94 (step @p6315 :rule trans :premises (@p6314 @p6308)) % 1.71/1.94 (step @p6316 :rule trans :premises (@p6315 @p6307)) % 1.71/1.94 (step @p6317 :rule refl :args (@t5809)) % 1.71/1.94 (step @p6318 :rule nary_cong :premises (@p3101 @p6317) :args (@t5810)) % 1.71/1.94 (step @p6319 :rule cong :premises (@p6318) :args ((forall @t1142 @t5810))) % 1.71/1.94 (step @p6320 :rule trans :premises (@p6319 @p6316)) % 1.71/1.94 (step @p6321 :rule bool-impl-elim :args (@t1140 @t5809)) % 1.71/1.94 (step @p6322 :rule cong :premises (@p6321) :args ((forall @t1142 (=> @t1140 @t5809)))) % 1.71/1.94 (step @p6323 :rule trans :premises (@p6322 @p6320)) % 1.71/1.94 (step @p6324 :rule refl :args ((tptp.in @t1146 @t33))) % 1.71/1.94 (step @p6325 :rule cong :premises (@p3114 @p3085) :args (@t5808)) % 1.71/1.94 (step @p6326 :rule trans :premises (@p6325 @p6324)) % 1.71/1.94 (step @p6327 :rule ho_cong :premises (@p1628 @p3114)) % 1.71/1.94 (step @p6328 :rule ho_cong :premises (@p6327 @p3085)) % 1.71/1.94 (step @p6329 :rule cong :premises (@p6328 @p6326) :args ((= (_ (_ tptp.in @t4601) @t2413) @t5808))) % 1.71/1.94 (step @p6330 :rule symm :premises (@p6329)) % 1.71/1.94 (step @p6331 :rule refl :args (@t1147)) % 1.71/1.94 (step @p6332 :rule eq_resolve :premises (@p6331 @p6330)) % 1.71/1.94 (step @p6333 :rule ho_cong :premises (@p1628 @p3146)) % 1.71/1.94 (step @p6334 :rule ho_cong :premises (@p6333 @p3098)) % 1.71/1.94 (step @p6335 :rule trans :premises (@p6334 @p6332)) % 1.71/1.94 (step @p6336 :rule nary_cong :premises (@p3164 @p6335) :args (@t5811)) % 1.71/1.94 (step @p6337 :rule cong :premises (@p6336) :args ((forall @t1138 @t5811))) % 1.71/1.94 (step @p6338 :rule bool-impl-elim :args (@t1137 @t1147)) % 1.71/1.94 (step @p6339 :rule cong :premises (@p6338) :args (@t1148)) % 1.71/1.94 (step @p6340 :rule trans :premises (@p6339 @p6337)) % 1.71/1.94 (step @p6341 :rule cong :premises (@p3170 @p6340) :args (@t1149)) % 1.71/1.94 (step @p6342 :rule cong :premises (@p6341) :args (@t1150)) % 1.71/1.94 (step @p6343 :rule trans :premises (@p6342 @p6323)) % 1.71/1.94 (step @p6344 :rule refl :args (tptp.binunionT_lem)) % 1.71/1.94 (step @p6345 :rule cong :premises (@p6344 @p6343) :args (@t1151)) % 1.71/1.94 (step @p6346 :rule eq_resolve :premises (@p228 @p6345)) % 1.71/1.94 (step @p6347 :rule cong :premises (@p6346 @p6305) :args (@t5812)) % 1.71/1.94 (step @p6348 :rule aci_norm :args ((= @t5814 @t2784))) % 1.71/1.94 (step @p6349 :rule cong :premises (@p6348) :args (@t5815)) % 1.71/1.94 (step @p6350 :rule quant-merge-prenex :args ((= (forall @t1142 @t5817) @t5815))) % 1.71/1.94 (step @p6351 :rule alpha_equiv :args (@t5818 (@list @t2781) @t4599)) % 1.71/1.94 (step @p6352 :rule nary_cong :premises (@p3075 @p6351) :args (@t5819)) % 1.71/1.94 (step @p6353 :rule quant-miniscope-or :args ((= @t5817 @t5819))) % 1.71/1.94 (step @p6354 :rule trans :premises (@p6353 @p6352)) % 1.71/1.94 (step @p6355 :rule symm :premises (@p6354)) % 1.71/1.94 (step @p6356 :rule cong :premises (@p6355) :args ((forall @t1142 (or @t2416 @t5821)))) % 1.71/1.94 (step @p6357 :rule trans :premises (@p6356 @p6350)) % 1.71/1.94 (step @p6358 :rule trans :premises (@p6357 @p6349)) % 1.71/1.94 (step @p6359 :rule refl :args (@t5821)) % 1.71/1.94 (step @p6360 :rule nary_cong :premises (@p3101 @p6359) :args (@t5822)) % 1.71/1.94 (step @p6361 :rule cong :premises (@p6360) :args ((forall @t1142 @t5822))) % 1.71/1.94 (step @p6362 :rule trans :premises (@p6361 @p6358)) % 1.71/1.94 (step @p6363 :rule bool-impl-elim :args (@t1140 @t5821)) % 1.71/1.94 (step @p6364 :rule cong :premises (@p6363) :args ((forall @t1142 (=> @t1140 @t5821)))) % 1.71/1.94 (step @p6365 :rule trans :premises (@p6364 @p6362)) % 1.71/1.94 (step @p6366 :rule refl :args ((tptp.in @t1133 @t33))) % 1.71/1.94 (step @p6367 :rule cong :premises (@p3296 @p3085) :args (@t5820)) % 1.71/1.94 (step @p6368 :rule trans :premises (@p6367 @p6366)) % 1.71/1.94 (step @p6369 :rule ho_cong :premises (@p3299 @p3085)) % 1.71/1.94 (step @p6370 :rule cong :premises (@p6369 @p6368) :args ((= (_ @t4660 @t2413) @t5820))) % 1.71/1.94 (step @p6371 :rule symm :premises (@p6370)) % 1.71/1.94 (step @p6372 :rule refl :args (@t1135)) % 1.71/1.94 (step @p6373 :rule eq_resolve :premises (@p6372 @p6371)) % 1.71/1.94 (step @p6374 :rule ho_cong :premises (@p3334 @p3098)) % 1.71/1.94 (step @p6375 :rule trans :premises (@p6374 @p6373)) % 1.71/1.94 (step @p6376 :rule nary_cong :premises (@p3164 @p6375) :args (@t5823)) % 1.71/1.94 (step @p6377 :rule cong :premises (@p6376) :args ((forall @t1138 @t5823))) % 1.71/1.94 (step @p6378 :rule bool-impl-elim :args (@t1137 @t1135)) % 1.71/1.94 (step @p6379 :rule cong :premises (@p6378) :args (@t1139)) % 1.71/1.94 (step @p6380 :rule trans :premises (@p6379 @p6377)) % 1.71/1.94 (step @p6381 :rule cong :premises (@p3170 @p6380) :args (@t1141)) % 1.71/1.94 (step @p6382 :rule cong :premises (@p6381) :args (@t1143)) % 1.71/1.94 (step @p6383 :rule trans :premises (@p6382 @p6365)) % 1.71/1.94 (step @p6384 :rule refl :args (tptp.binintersectT_lem)) % 1.71/1.94 (step @p6385 :rule cong :premises (@p6384 @p6383) :args (@t1144)) % 1.71/1.94 (step @p6386 :rule eq_resolve :premises (@p227 @p6385)) % 1.71/1.94 (step @p6387 :rule cong :premises (@p6386 @p6347) :args (@t5824)) % 1.71/1.94 (step @p6388 :rule aci_norm :args ((= @t5826 @t2789))) % 1.71/1.94 (step @p6389 :rule cong :premises (@p6388) :args (@t5827)) % 1.71/1.94 (step @p6390 :rule quant-merge-prenex :args ((= (forall @t1075 @t5829) @t5827))) % 1.71/1.94 (step @p6391 :rule alpha_equiv :args (@t5830 (@list @t2786) @t3833)) % 1.71/1.94 (step @p6392 :rule nary_cong :premises (@p1601 @p6391) :args (@t5831)) % 1.71/1.94 (step @p6393 :rule quant-miniscope-or :args ((= @t5829 @t5831))) % 1.71/1.94 (step @p6394 :rule trans :premises (@p6393 @p6392)) % 1.71/1.94 (step @p6395 :rule symm :premises (@p6394)) % 1.71/1.94 (step @p6396 :rule cong :premises (@p6395) :args ((forall @t1075 (or @t2357 @t5834)))) % 1.71/1.94 (step @p6397 :rule trans :premises (@p6396 @p6390)) % 1.71/1.94 (step @p6398 :rule trans :premises (@p6397 @p6389)) % 1.71/1.94 (step @p6399 :rule refl :args (@t5834)) % 1.71/1.94 (step @p6400 :rule nary_cong :premises (@p1615 @p6399) :args (@t5835)) % 1.71/1.94 (step @p6401 :rule cong :premises (@p6400) :args ((forall @t1075 @t5835))) % 1.71/1.94 (step @p6402 :rule trans :premises (@p6401 @p6398)) % 1.71/1.94 (step @p6403 :rule bool-impl-elim :args (@t7 @t5834)) % 1.71/1.94 (step @p6404 :rule cong :premises (@p6403) :args ((forall @t1075 (=> @t7 @t5834)))) % 1.71/1.94 (step @p6405 :rule trans :premises (@p6404 @p6402)) % 1.71/1.94 (step @p6406 :rule refl :args ((tptp.in @t1103 @t293))) % 1.71/1.94 (step @p6407 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 1.71/1.94 (step @p6408 :rule refl :args (@t3066)) % 1.71/1.94 (step @p6409 :rule cong :premises (@p976 @p6408) :args (@t3067)) % 1.71/1.94 (step @p6410 :rule trans :premises (@p6409 @p6407)) % 1.71/1.94 (step @p6411 :rule refl :args (@t5832)) % 1.71/1.94 (step @p6412 :rule cong :premises (@p6411 @p6410) :args (@t5833)) % 1.71/1.94 (step @p6413 :rule trans :premises (@p6412 @p6406)) % 1.71/1.94 (step @p6414 :rule ho_cong :premises (@p1628 @p6411)) % 1.71/1.94 (step @p6415 :rule ho_cong :premises (@p6414 @p6410)) % 1.71/1.94 (step @p6416 :rule cong :premises (@p6415 @p6413) :args ((= (_ @t5836 @t3067) @t5833))) % 1.71/1.94 (step @p6417 :rule symm :premises (@p6416)) % 1.71/1.94 (step @p6418 :rule refl :args (@t1127)) % 1.71/1.94 (step @p6419 :rule eq_resolve :premises (@p6418 @p6417)) % 1.71/1.94 (step @p6420 :rule refl :args (@t24)) % 1.71/1.94 (step @p6421 :rule ho_cong :premises (@p6420 @p6408)) % 1.71/1.94 (step @p6422 :rule cong :premises (@p6421 @p6410) :args ((= (_ @t24 @t3066) @t3067))) % 1.71/1.94 (step @p6423 :rule symm :premises (@p6422)) % 1.71/1.94 (step @p6424 :rule refl :args (@t293)) % 1.71/1.94 (step @p6425 :rule eq_resolve :premises (@p6424 @p6423)) % 1.71/1.94 (step @p6426 :rule refl :args (@t275)) % 1.71/1.94 (step @p6427 :rule cong :premises (@p6426 @p6408) :args ((= @t275 @t3066))) % 1.71/1.94 (step @p6428 :rule symm :premises (@p6427)) % 1.71/1.94 (step @p6429 :rule eq_resolve :premises (@p6426 @p6428)) % 1.71/1.94 (step @p6430 :rule ho_cong :premises (@p6420 @p6429)) % 1.71/1.94 (step @p6431 :rule trans :premises (@p6430 @p6425)) % 1.71/1.94 (step @p6432 :rule refl :args (@t1103)) % 1.71/1.94 (step @p6433 :rule cong :premises (@p6432 @p6411) :args ((= @t1103 @t5832))) % 1.71/1.94 (step @p6434 :rule symm :premises (@p6433)) % 1.71/1.94 (step @p6435 :rule eq_resolve :premises (@p6432 @p6434)) % 1.71/1.94 (step @p6436 :rule ho_cong :premises (@p1628 @p6435)) % 1.71/1.94 (step @p6437 :rule ho_cong :premises (@p6436 @p6431)) % 1.71/1.94 (step @p6438 :rule trans :premises (@p6437 @p6419)) % 1.71/1.94 (step @p6439 :rule nary_cong :premises (@p1018 @p6438) :args (@t5837)) % 1.71/1.94 (step @p6440 :rule cong :premises (@p6439) :args ((forall @t70 @t5837))) % 1.71/1.94 (step @p6441 :rule bool-impl-elim :args (@t21 @t1127)) % 1.71/1.94 (step @p6442 :rule cong :premises (@p6441) :args (@t1128)) % 1.71/1.94 (step @p6443 :rule trans :premises (@p6442 @p6440)) % 1.71/1.94 (step @p6444 :rule cong :premises (@p1729 @p6443) :args (@t1129)) % 1.71/1.94 (step @p6445 :rule cong :premises (@p6444) :args (@t1130)) % 1.71/1.94 (step @p6446 :rule trans :premises (@p6445 @p6405)) % 1.71/1.94 (step @p6447 :rule refl :args (tptp.iftrueorfalse)) % 1.71/1.94 (step @p6448 :rule cong :premises (@p6447 @p6446) :args (@t1131)) % 1.71/1.94 (step @p6449 :rule eq_resolve :premises (@p226 @p6448)) % 1.71/1.94 (step @p6450 :rule cong :premises (@p6449 @p6387) :args (@t5838)) % 1.71/1.94 (step @p6451 :rule aci_norm :args ((= @t5839 @t2794))) % 1.71/1.94 (step @p6452 :rule cong :premises (@p6451) :args ((forall @t2795 @t5839))) % 1.71/1.94 (step @p6453 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t2357 @t173 @t2793 @t5840)) @t5839))) % 1.71/1.94 (step @p6454 :rule refl :args (@t5840)) % 1.71/1.94 (step @p6455 :rule refl :args (@t2793)) % 1.71/1.94 (step @p6456 :rule nary_cong :premises (@p1677 @p1601 @p1669 @p6455 @p6454) :args (@t5841)) % 1.71/1.94 (step @p6457 :rule aci_norm :args ((= @t5842 @t5841))) % 1.71/1.94 (step @p6458 :rule trans :premises (@p6457 @p6456)) % 1.71/1.94 (step @p6459 :rule cong :premises (@p6458) :args (@t5843)) % 1.71/1.94 (step @p6460 :rule trans :premises (@p6459 @p6453)) % 1.71/1.94 (step @p6461 :rule cong :premises (@p6460) :args (@t5844)) % 1.71/1.94 (step @p6462 :rule quant-merge-prenex :args ((= @t5844 @t5845))) % 1.71/1.94 (step @p6463 :rule symm :premises (@p6462)) % 1.71/1.94 (step @p6464 :rule quant_var_reordering :args ((= (forall @t5846 @t5842) @t5845))) % 1.71/1.94 (step @p6465 :rule trans :premises (@p6464 @p6463 @p6461)) % 1.71/1.94 (step @p6466 :rule trans :premises (@p6465 @p6452)) % 1.71/1.94 (step @p6467 :rule aci_norm :args ((= @t5848 @t5842))) % 1.71/1.94 (step @p6468 :rule cong :premises (@p6467) :args (@t5849)) % 1.71/1.94 (step @p6469 :rule trans :premises (@p6468 @p6466)) % 1.71/1.94 (step @p6470 :rule quant-merge-prenex :args ((= (forall @t1075 @t5851) @t5849))) % 1.71/1.94 (step @p6471 :rule alpha_equiv :args (@t5852 (@list @t2791) @t3833)) % 1.71/1.94 (step @p6472 :rule nary_cong :premises (@p1601 @p1669 @p6471) :args (@t5853)) % 1.71/1.94 (step @p6473 :rule quant-miniscope-or :args ((= @t5851 @t5853))) % 1.71/1.94 (step @p6474 :rule trans :premises (@p6473 @p6472)) % 1.71/1.94 (step @p6475 :rule symm :premises (@p6474)) % 1.71/1.94 (step @p6476 :rule cong :premises (@p6475) :args ((forall @t1075 (or @t2357 @t173 @t5854)))) % 1.71/1.94 (step @p6477 :rule trans :premises (@p6476 @p6470)) % 1.71/1.94 (step @p6478 :rule trans :premises (@p6477 @p6469)) % 1.71/1.94 (step @p6479 :rule refl :args (@t5854)) % 1.71/1.94 (step @p6480 :rule nary_cong :premises (@p1615 @p1669 @p6479) :args (@t5855)) % 1.71/1.94 (step @p6481 :rule cong :premises (@p6480) :args ((forall @t1075 @t5855))) % 1.71/1.94 (step @p6482 :rule trans :premises (@p6481 @p6478)) % 1.71/1.94 (step @p6483 :rule aci_norm :args ((= (or @t197 @t5856) @t5855))) % 1.71/1.94 (step @p6484 :rule bool-impl-elim :args (@t7 @t5856)) % 1.71/1.94 (step @p6485 :rule trans :premises (@p6484 @p6483)) % 1.71/1.94 (step @p6486 :rule cong :premises (@p6485) :args ((forall @t1075 (=> @t7 @t5856)))) % 1.71/1.94 (step @p6487 :rule trans :premises (@p6486 @p6482)) % 1.71/1.94 (step @p6488 :rule cong :premises (@p1104 @p6435) :args (@t5857)) % 1.71/1.94 (step @p6489 :rule nary_cong :premises (@p1018 @p6488) :args (@t5858)) % 1.71/1.94 (step @p6490 :rule cong :premises (@p6489) :args (@t5859)) % 1.71/1.94 (step @p6491 :rule nary_cong :premises (@p2142 @p6490) :args (@t5860)) % 1.71/1.94 (step @p6492 :rule quant-miniscope-or :args ((= (forall @t70 @t5861) @t5860))) % 1.71/1.94 (step @p6493 :rule aci_norm :args ((= @t5862 @t5861))) % 1.71/1.94 (step @p6494 :rule cong :premises (@p6493) :args ((forall @t70 @t5862))) % 1.71/1.94 (step @p6495 :rule trans :premises (@p6494 @p6492)) % 1.71/1.94 (step @p6496 :rule trans :premises (@p6495 @p6491)) % 1.71/1.94 (step @p6497 :rule aci_norm :args ((= (or @t3841 (or @t173 @t5857)) @t5862))) % 1.71/1.94 (step @p6498 :rule refl :args (@t5857)) % 1.71/1.94 (step @p6499 :rule nary_cong :premises (@p1675 @p6498) :args ((or @t4062 @t5857))) % 1.71/1.94 (step @p6500 :rule bool-impl-elim :args (@t1064 @t5857)) % 1.71/1.94 (step @p6501 :rule trans :premises (@p6500 @p6499)) % 1.71/1.94 (step @p6502 :rule nary_cong :premises (@p1649 @p6501) :args ((or @t3841 @t5863))) % 1.71/1.94 (step @p6503 :rule trans :premises (@p6502 @p6497)) % 1.71/1.94 (step @p6504 :rule bool-impl-elim :args (@t21 @t5863)) % 1.71/1.94 (step @p6505 :rule trans :premises (@p6504 @p6503)) % 1.71/1.94 (step @p6506 :rule cong :premises (@p6505) :args ((forall @t70 (=> @t21 @t5863)))) % 1.71/1.94 (step @p6507 :rule trans :premises (@p6506 @p6496)) % 1.71/1.94 (step @p6508 :rule eq-symm :args (@t1103 @t19)) % 1.71/1.94 (step @p6509 :rule refl :args (@t1064)) % 1.71/1.94 (step @p6510 :rule cong :premises (@p6509 @p6508) :args (@t1121)) % 1.71/1.94 (step @p6511 :rule cong :premises (@p1725 @p6510) :args (@t1122)) % 1.71/1.94 (step @p6512 :rule cong :premises (@p6511) :args (@t1123)) % 1.71/1.94 (step @p6513 :rule trans :premises (@p6512 @p6507)) % 1.71/1.94 (step @p6514 :rule cong :premises (@p1729 @p6513) :args (@t1124)) % 1.71/1.94 (step @p6515 :rule cong :premises (@p6514) :args (@t1125)) % 1.71/1.94 (step @p6516 :rule trans :premises (@p6515 @p6487)) % 1.71/1.94 (step @p6517 :rule refl :args (tptp.iffalse)) % 1.71/1.94 (step @p6518 :rule cong :premises (@p6517 @p6516) :args (@t1126)) % 1.71/1.94 (step @p6519 :rule eq_resolve :premises (@p225 @p6518)) % 1.71/1.94 (step @p6520 :rule cong :premises (@p6519 @p6450) :args (@t5864)) % 1.71/1.94 (step @p6521 :rule aci_norm :args ((= (or @t2357 false @t2798 @t2797) @t2799))) % 1.71/1.94 (step @p6522 :rule refl :args (@t2797)) % 1.71/1.94 (step @p6523 :rule refl :args (@t2798)) % 1.71/1.94 (step @p6524 :rule nary_cong :premises (@p4685 @p928 @p6523 @p6522) :args (@t5865)) % 1.71/1.94 (step @p6525 :rule trans :premises (@p6524 @p6521)) % 1.71/1.94 (step @p6526 :rule cong :premises (@p6525) :args ((forall @t2800 @t5865))) % 1.71/1.94 (step @p6527 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5867 @t2357 @t1064 @t2798 @t5866)) @t5865))) % 1.71/1.94 (step @p6528 :rule refl :args (@t5866)) % 1.71/1.94 (step @p6529 :rule refl :args (@t2798)) % 1.71/1.94 (step @p6530 :rule bool-eq-true :args (@t173)) % 1.71/1.94 (step @p6531 :rule symm :premises (@p6530)) % 1.71/1.94 (step @p6532 :rule cong :premises (@p6531) :args (@t1064)) % 1.71/1.94 (step @p6533 :rule nary_cong :premises (@p6532 @p1601 @p1684 @p6529 @p6528) :args (@t5868)) % 1.71/1.94 (step @p6534 :rule aci_norm :args ((= @t5869 @t5868))) % 1.71/1.94 (step @p6535 :rule trans :premises (@p6534 @p6533)) % 1.71/1.94 (step @p6536 :rule cong :premises (@p6535) :args (@t5870)) % 1.71/1.94 (step @p6537 :rule trans :premises (@p6536 @p6527)) % 1.71/1.94 (step @p6538 :rule cong :premises (@p6537) :args (@t5871)) % 1.71/1.94 (step @p6539 :rule quant-merge-prenex :args ((= @t5871 @t5872))) % 1.71/1.94 (step @p6540 :rule symm :premises (@p6539)) % 1.71/1.94 (step @p6541 :rule quant_var_reordering :args ((= (forall @t5873 @t5869) @t5872))) % 1.71/1.94 (step @p6542 :rule trans :premises (@p6541 @p6540 @p6538)) % 1.71/1.94 (step @p6543 :rule trans :premises (@p6542 @p6526)) % 1.71/1.94 (step @p6544 :rule aci_norm :args ((= @t5875 @t5869))) % 1.71/1.94 (step @p6545 :rule cong :premises (@p6544) :args (@t5876)) % 1.71/1.94 (step @p6546 :rule trans :premises (@p6545 @p6543)) % 1.71/1.94 (step @p6547 :rule quant-merge-prenex :args ((= (forall @t1075 @t5878) @t5876))) % 1.71/1.94 (step @p6548 :rule alpha_equiv :args (@t5879 (@list @t2796) @t3833)) % 1.71/1.94 (step @p6549 :rule nary_cong :premises (@p1601 @p1684 @p6548) :args (@t5880)) % 1.71/1.94 (step @p6550 :rule quant-miniscope-or :args ((= @t5878 @t5880))) % 1.71/1.94 (step @p6551 :rule trans :premises (@p6550 @p6549)) % 1.71/1.94 (step @p6552 :rule symm :premises (@p6551)) % 1.71/1.94 (step @p6553 :rule cong :premises (@p6552) :args ((forall @t1075 (or @t2357 @t1064 @t5881)))) % 1.71/1.94 (step @p6554 :rule trans :premises (@p6553 @p6547)) % 1.71/1.94 (step @p6555 :rule trans :premises (@p6554 @p6546)) % 1.71/1.94 (step @p6556 :rule refl :args (@t5881)) % 1.71/1.94 (step @p6557 :rule nary_cong :premises (@p1615 @p1684 @p6556) :args (@t5882)) % 1.71/1.94 (step @p6558 :rule cong :premises (@p6557) :args ((forall @t1075 @t5882))) % 1.71/1.94 (step @p6559 :rule trans :premises (@p6558 @p6555)) % 1.71/1.94 (step @p6560 :rule aci_norm :args ((= (or @t197 @t5883) @t5882))) % 1.71/1.94 (step @p6561 :rule bool-impl-elim :args (@t7 @t5883)) % 1.71/1.94 (step @p6562 :rule trans :premises (@p6561 @p6560)) % 1.71/1.94 (step @p6563 :rule cong :premises (@p6562) :args ((forall @t1075 (=> @t7 @t5883)))) % 1.71/1.94 (step @p6564 :rule trans :premises (@p6563 @p6559)) % 1.71/1.94 (step @p6565 :rule cong :premises (@p976 @p6435) :args (@t5884)) % 1.71/1.94 (step @p6566 :rule nary_cong :premises (@p1018 @p6565) :args (@t5885)) % 1.71/1.94 (step @p6567 :rule cong :premises (@p6566) :args (@t5886)) % 1.71/1.94 (step @p6568 :rule nary_cong :premises (@p6509 @p6567) :args (@t5887)) % 1.71/1.94 (step @p6569 :rule quant-miniscope-or :args ((= (forall @t70 @t5888) @t5887))) % 1.71/1.94 (step @p6570 :rule aci_norm :args ((= @t5889 @t5888))) % 1.71/1.94 (step @p6571 :rule cong :premises (@p6570) :args ((forall @t70 @t5889))) % 1.71/1.94 (step @p6572 :rule trans :premises (@p6571 @p6569)) % 1.71/1.94 (step @p6573 :rule trans :premises (@p6572 @p6568)) % 1.71/1.94 (step @p6574 :rule aci_norm :args ((= (or @t3841 (or @t1064 @t5884)) @t5889))) % 1.71/1.94 (step @p6575 :rule bool-impl-elim :args (@t173 @t5884)) % 1.71/1.94 (step @p6576 :rule nary_cong :premises (@p1649 @p6575) :args ((or @t3841 @t5890))) % 1.71/1.94 (step @p6577 :rule trans :premises (@p6576 @p6574)) % 1.71/1.94 (step @p6578 :rule bool-impl-elim :args (@t21 @t5890)) % 1.71/1.94 (step @p6579 :rule trans :premises (@p6578 @p6577)) % 1.71/1.94 (step @p6580 :rule cong :premises (@p6579) :args ((forall @t70 (=> @t21 @t5890)))) % 1.71/1.94 (step @p6581 :rule trans :premises (@p6580 @p6573)) % 1.71/1.94 (step @p6582 :rule eq-symm :args (@t1103 @t4)) % 1.71/1.94 (step @p6583 :rule cong :premises (@p2142 @p6582) :args (@t1115)) % 1.71/1.94 (step @p6584 :rule cong :premises (@p1725 @p6583) :args (@t1116)) % 1.71/1.94 (step @p6585 :rule cong :premises (@p6584) :args (@t1117)) % 1.71/1.94 (step @p6586 :rule trans :premises (@p6585 @p6581)) % 1.71/1.94 (step @p6587 :rule cong :premises (@p1729 @p6586) :args (@t1118)) % 1.71/1.94 (step @p6588 :rule cong :premises (@p6587) :args (@t1119)) % 1.71/1.94 (step @p6589 :rule trans :premises (@p6588 @p6564)) % 1.71/1.94 (step @p6590 :rule refl :args (tptp.iftrue)) % 1.71/1.94 (step @p6591 :rule cong :premises (@p6590 @p6589) :args (@t1120)) % 1.71/1.94 (step @p6592 :rule eq_resolve :premises (@p224 @p6591)) % 1.71/1.94 (step @p6593 :rule cong :premises (@p6592 @p6520) :args (@t5891)) % 1.71/1.94 (step @p6594 :rule eq-symm :args (@t2801 @t2802)) % 1.71/1.94 (step @p6595 :rule refl :args (@t2803)) % 1.71/1.94 (step @p6596 :rule refl :args (@t2805)) % 1.71/1.94 (step @p6597 :rule nary_cong :premises (@p6596 @p6595 @p6594) :args (@t5893)) % 1.71/1.94 (step @p6598 :rule aci_norm :args ((= @t5895 @t5893))) % 1.71/1.94 (step @p6599 :rule trans :premises (@p6598 @p6597)) % 1.71/1.94 (step @p6600 :rule cong :premises (@p6599) :args (@t5896)) % 1.71/1.94 (step @p6601 :rule quant-merge-prenex :args ((= (forall @t700 @t5898) @t5896))) % 1.71/1.94 (step @p6602 :rule alpha_equiv :args (@t5899 (@list @t2801) @t3867)) % 1.71/1.94 (step @p6603 :rule refl :args (@t2805)) % 1.71/1.94 (step @p6604 :rule nary_cong :premises (@p6603 @p6602) :args (@t5900)) % 1.71/1.94 (step @p6605 :rule quant-miniscope-or :args ((= @t5898 @t5900))) % 1.71/1.94 (step @p6606 :rule trans :premises (@p6605 @p6604)) % 1.71/1.94 (step @p6607 :rule symm :premises (@p6606)) % 1.71/1.94 (step @p6608 :rule cong :premises (@p6607) :args ((forall @t700 (or @t2805 @t5901)))) % 1.71/1.94 (step @p6609 :rule trans :premises (@p6608 @p6601)) % 1.71/1.94 (step @p6610 :rule trans :premises (@p6609 @p6600)) % 1.71/1.94 (step @p6611 :rule refl :args (@t5901)) % 1.71/1.94 (step @p6612 :rule refl :args (@t2804)) % 1.71/1.94 (step @p6613 :rule refl :args (@t762)) % 1.71/1.94 (step @p6614 :rule cong :premises (@p6613 @p6612) :args ((= @t762 @t2804))) % 1.71/1.94 (step @p6615 :rule symm :premises (@p6614)) % 1.71/1.94 (step @p6616 :rule eq_resolve :premises (@p6613 @p6615)) % 1.71/1.94 (step @p6617 :rule cong :premises (@p6616) :args (@t5902)) % 1.71/1.94 (step @p6618 :rule nary_cong :premises (@p6617 @p6611) :args (@t5903)) % 1.71/1.94 (step @p6619 :rule cong :premises (@p6618) :args ((forall @t700 @t5903))) % 1.71/1.94 (step @p6620 :rule trans :premises (@p6619 @p6610)) % 1.71/1.94 (step @p6621 :rule bool-impl-elim :args (@t762 @t5901)) % 1.71/1.94 (step @p6622 :rule cong :premises (@p6621) :args ((forall @t700 (=> @t762 @t5901)))) % 1.71/1.94 (step @p6623 :rule trans :premises (@p6622 @p6620)) % 1.71/1.94 (step @p6624 :rule refl :args (@t2802)) % 1.71/1.94 (step @p6625 :rule refl :args (@t760)) % 1.71/1.94 (step @p6626 :rule cong :premises (@p6625 @p6624) :args ((= @t760 @t2802))) % 1.71/1.94 (step @p6627 :rule symm :premises (@p6626)) % 1.71/1.94 (step @p6628 :rule eq_resolve :premises (@p6625 @p6627)) % 1.71/1.94 (step @p6629 :rule cong :premises (@p976 @p6628) :args (@t5904)) % 1.71/1.94 (step @p6630 :rule nary_cong :premises (@p4782 @p6629) :args (@t5905)) % 1.71/1.94 (step @p6631 :rule cong :premises (@p6630) :args ((forall @t9 @t5905))) % 1.71/1.94 (step @p6632 :rule bool-impl-elim :args (@t696 @t5904)) % 1.71/1.94 (step @p6633 :rule cong :premises (@p6632) :args ((forall @t9 (=> @t696 @t5904)))) % 1.71/1.94 (step @p6634 :rule trans :premises (@p6633 @p6631)) % 1.71/1.94 (step @p6635 :rule eq-symm :args (@t760 @t4)) % 1.71/1.94 (step @p6636 :rule refl :args (@t696)) % 1.71/1.94 (step @p6637 :rule cong :premises (@p6636 @p6635) :args (@t1110)) % 1.71/1.94 (step @p6638 :rule cong :premises (@p6637) :args (@t1111)) % 1.71/1.94 (step @p6639 :rule trans :premises (@p6638 @p6634)) % 1.71/1.94 (step @p6640 :rule refl :args (@t762)) % 1.71/1.94 (step @p6641 :rule cong :premises (@p6640 @p6639) :args (@t1112)) % 1.71/1.94 (step @p6642 :rule cong :premises (@p6641) :args (@t1113)) % 1.71/1.94 (step @p6643 :rule trans :premises (@p6642 @p6623)) % 1.71/1.94 (step @p6644 :rule refl :args (tptp.theeq)) % 1.71/1.94 (step @p6645 :rule cong :premises (@p6644 @p6643) :args (@t1114)) % 1.71/1.94 (step @p6646 :rule eq_resolve :premises (@p223 @p6645)) % 1.71/1.94 (step @p6647 :rule cong :premises (@p6646 @p6593) :args (@t5906)) % 1.71/1.94 (step @p6648 :rule aci_norm :args ((= @t5908 @t2810))) % 1.71/1.94 (step @p6649 :rule cong :premises (@p6648) :args (@t5909)) % 1.71/1.94 (step @p6650 :rule quant-merge-prenex :args ((= (forall @t1075 @t5911) @t5909))) % 1.71/1.94 (step @p6651 :rule alpha_equiv :args (@t5912 (@list @t2807) @t3833)) % 1.71/1.94 (step @p6652 :rule nary_cong :premises (@p1601 @p6651) :args (@t5913)) % 1.71/1.94 (step @p6653 :rule quant-miniscope-or :args ((= @t5911 @t5913))) % 1.71/1.94 (step @p6654 :rule trans :premises (@p6653 @p6652)) % 1.71/1.94 (step @p6655 :rule symm :premises (@p6654)) % 1.71/1.94 (step @p6656 :rule cong :premises (@p6655) :args ((forall @t1075 (or @t2357 @t5915)))) % 1.71/1.94 (step @p6657 :rule trans :premises (@p6656 @p6650)) % 1.71/1.94 (step @p6658 :rule trans :premises (@p6657 @p6649)) % 1.71/1.94 (step @p6659 :rule refl :args (@t5915)) % 1.71/1.94 (step @p6660 :rule nary_cong :premises (@p1615 @p6659) :args (@t5916)) % 1.71/1.94 (step @p6661 :rule cong :premises (@p6660) :args ((forall @t1075 @t5916))) % 1.71/1.94 (step @p6662 :rule trans :premises (@p6661 @p6658)) % 1.71/1.94 (step @p6663 :rule bool-impl-elim :args (@t7 @t5915)) % 1.71/1.94 (step @p6664 :rule cong :premises (@p6663) :args ((forall @t1075 (=> @t7 @t5915)))) % 1.71/1.94 (step @p6665 :rule trans :premises (@p6664 @p6662)) % 1.71/1.94 (step @p6666 :rule refl :args ((tptp.in @t1103 @t2))) % 1.71/1.94 (step @p6667 :rule cong :premises (@p6411 @p973) :args (@t5914)) % 1.71/1.94 (step @p6668 :rule trans :premises (@p6667 @p6666)) % 1.71/1.94 (step @p6669 :rule ho_cong :premises (@p6414 @p973)) % 1.71/1.94 (step @p6670 :rule cong :premises (@p6669 @p6668) :args ((= (_ @t5836 @t2) @t5914))) % 1.71/1.94 (step @p6671 :rule symm :premises (@p6670)) % 1.71/1.94 (step @p6672 :rule refl :args (@t1105)) % 1.71/1.94 (step @p6673 :rule eq_resolve :premises (@p6672 @p6671)) % 1.71/1.94 (step @p6674 :rule ho_cong :premises (@p6436 @p973)) % 1.71/1.94 (step @p6675 :rule trans :premises (@p6674 @p6673)) % 1.71/1.94 (step @p6676 :rule nary_cong :premises (@p1018 @p6675) :args (@t5917)) % 1.71/1.94 (step @p6677 :rule cong :premises (@p6676) :args ((forall @t70 @t5917))) % 1.71/1.94 (step @p6678 :rule bool-impl-elim :args (@t21 @t1105)) % 1.71/1.94 (step @p6679 :rule cong :premises (@p6678) :args (@t1106)) % 1.71/1.94 (step @p6680 :rule trans :premises (@p6679 @p6677)) % 1.71/1.94 (step @p6681 :rule cong :premises (@p1729 @p6680) :args (@t1107)) % 1.71/1.94 (step @p6682 :rule cong :premises (@p6681) :args (@t1108)) % 1.71/1.94 (step @p6683 :rule trans :premises (@p6682 @p6665)) % 1.71/1.94 (step @p6684 :rule refl :args (tptp.ifp)) % 1.71/1.94 (step @p6685 :rule cong :premises (@p6684 @p6683) :args (@t1109)) % 1.71/1.94 (step @p6686 :rule eq_resolve :premises (@p222 @p6685)) % 1.71/1.94 (step @p6687 :rule cong :premises (@p6686 @p6647) :args (@t5918)) % 1.71/1.94 (step @p6688 :rule eq-symm :args (@t2812 @t289)) % 1.71/1.94 (step @p6689 :rule nary_cong :premises (@p6509 @p6688) :args (@t5919)) % 1.71/1.94 (step @p6690 :rule refl :args (@t2813)) % 1.71/1.94 (step @p6691 :rule nary_cong :premises (@p6690 @p6689) :args (@t5920)) % 1.71/1.94 (step @p6692 :rule cong :premises (@p6691) :args (@t5921)) % 1.71/1.94 (step @p6693 :rule cong :premises (@p961 @p6692) :args (@t5922)) % 1.71/1.94 (step @p6694 :rule cong :premises (@p6693) :args (@t5923)) % 1.71/1.94 (step @p6695 :rule refl :args (@t2814)) % 1.71/1.94 (step @p6696 :rule nary_cong :premises (@p4685 @p6695 @p6694) :args (@t5924)) % 1.71/1.94 (step @p6697 :rule aci_norm :args ((= @t5926 @t5924))) % 1.71/1.94 (step @p6698 :rule trans :premises (@p6697 @p6696)) % 1.71/1.94 (step @p6699 :rule cong :premises (@p6698) :args (@t5927)) % 1.71/1.94 (step @p6700 :rule quant-merge-prenex :args ((= (forall @t1075 @t5929) @t5927))) % 1.71/1.94 (step @p6701 :rule alpha_equiv :args (@t5930 (@list @t2812) @t3833)) % 1.71/1.94 (step @p6702 :rule nary_cong :premises (@p1601 @p6701) :args (@t5931)) % 1.71/1.94 (step @p6703 :rule quant-miniscope-or :args ((= @t5929 @t5931))) % 1.71/1.94 (step @p6704 :rule trans :premises (@p6703 @p6702)) % 1.71/1.94 (step @p6705 :rule symm :premises (@p6704)) % 1.71/1.94 (step @p6706 :rule cong :premises (@p6705) :args ((forall @t1075 (or @t2357 @t5935)))) % 1.71/1.94 (step @p6707 :rule trans :premises (@p6706 @p6700)) % 1.71/1.94 (step @p6708 :rule trans :premises (@p6707 @p6699)) % 1.71/1.94 (step @p6709 :rule refl :args (@t5935)) % 1.71/1.94 (step @p6710 :rule nary_cong :premises (@p1615 @p6709) :args (@t5936)) % 1.71/1.94 (step @p6711 :rule cong :premises (@p6710) :args ((forall @t1075 @t5936))) % 1.71/1.94 (step @p6712 :rule trans :premises (@p6711 @p6708)) % 1.71/1.94 (step @p6713 :rule bool-impl-elim :args (@t7 @t5935)) % 1.71/1.94 (step @p6714 :rule cong :premises (@p6713) :args ((forall @t1075 (=> @t7 @t5935)))) % 1.71/1.94 (step @p6715 :rule trans :premises (@p6714 @p6712)) % 1.71/1.94 (step @p6716 :rule refl :args ((tptp.singleton @t5937))) % 1.71/1.94 (step @p6717 :rule refl :args (@t5933)) % 1.71/1.94 (step @p6718 :rule cong :premises (@p6717) :args (@t5934)) % 1.71/1.94 (step @p6719 :rule trans :premises (@p6718 @p6716)) % 1.71/1.94 (step @p6720 :rule ho_cong :premises (@p2935 @p6717)) % 1.71/1.94 (step @p6721 :rule cong :premises (@p6720 @p6719) :args ((= (_ tptp.singleton @t5933) @t5934))) % 1.71/1.94 (step @p6722 :rule symm :premises (@p6721)) % 1.71/1.94 (step @p6723 :rule refl :args (@t5938)) % 1.71/1.94 (step @p6724 :rule eq_resolve :premises (@p6723 @p6722)) % 1.71/1.94 (step @p6725 :rule refl :args (@t5937)) % 1.71/1.94 (step @p6726 :rule cong :premises (@p6725 @p6717) :args ((= @t5937 @t5933))) % 1.71/1.94 (step @p6727 :rule symm :premises (@p6726)) % 1.71/1.94 (step @p6728 :rule eq_resolve :premises (@p6725 @p6727)) % 1.71/1.94 (step @p6729 :rule ho_cong :premises (@p2935 @p6728)) % 1.71/1.94 (step @p6730 :rule trans :premises (@p6729 @p6724)) % 1.71/1.94 (step @p6731 :rule nary_cong :premises (@p1018 @p6730) :args (@t5939)) % 1.71/1.94 (step @p6732 :rule cong :premises (@p6731) :args ((forall @t70 @t5939))) % 1.71/1.94 (step @p6733 :rule bool-impl-elim :args (@t21 @t5938)) % 1.71/1.94 (step @p6734 :rule cong :premises (@p6733) :args ((forall @t70 (=> @t21 @t5938)))) % 1.71/1.94 (step @p6735 :rule trans :premises (@p6734 @p6732)) % 1.71/1.94 (step @p6736 :rule eq-symm :args (@t289 @t19)) % 1.71/1.94 (step @p6737 :rule nary_cong :premises (@p6509 @p6736) :args (@t1065)) % 1.71/1.94 (step @p6738 :rule eq-symm :args (@t289 @t4)) % 1.71/1.94 (step @p6739 :rule nary_cong :premises (@p2142 @p6738) :args (@t1066)) % 1.71/1.94 (step @p6740 :rule nary_cong :premises (@p6739 @p6737) :args (@t1067)) % 1.71/1.94 (step @p6741 :rule cong :premises (@p6740) :args (@t1069)) % 1.71/1.94 (step @p6742 :rule refl :args (@t155)) % 1.71/1.94 (step @p6743 :rule ho_cong :premises (@p6742 @p6741)) % 1.71/1.94 (step @p6744 :rule ho_cong :premises (@p2998 @p6743)) % 1.71/1.94 (step @p6745 :rule cong :premises (@p1725 @p6744) :args (@t1098)) % 1.71/1.94 (step @p6746 :rule cong :premises (@p6745) :args (@t1099)) % 1.71/1.94 (step @p6747 :rule trans :premises (@p6746 @p6735)) % 1.71/1.94 (step @p6748 :rule cong :premises (@p1729 @p6747) :args (@t1100)) % 1.71/1.94 (step @p6749 :rule cong :premises (@p6748) :args (@t1101)) % 1.71/1.94 (step @p6750 :rule trans :premises (@p6749 @p6715)) % 1.71/1.94 (step @p6751 :rule refl :args (tptp.ifSingleton)) % 1.71/1.94 (step @p6752 :rule cong :premises (@p6751 @p6750) :args (@t1102)) % 1.71/1.94 (step @p6753 :rule eq_resolve :premises (@p221 @p6752)) % 1.71/1.94 (step @p6754 :rule cong :premises (@p6753 @p6687) :args (@t5940)) % 1.71/1.94 (step @p6755 :rule aci_norm :args ((= (or @t2357 false @t2820 @t2818) @t2821))) % 1.71/1.94 (step @p6756 :rule aci_norm :args ((= (or @t745 false) @t745))) % 1.71/1.94 (step @p6757 :rule absorb :args ((= (and false @t5941) false))) % 1.71/1.94 (step @p6758 :rule refl :args (@t5941)) % 1.71/1.94 (step @p6759 :rule nary_cong :premises (@p928 @p6758) :args (@t5942)) % 1.71/1.94 (step @p6760 :rule trans :premises (@p6759 @p6757)) % 1.71/1.94 (step @p6761 :rule aci_norm :args ((= @t5943 @t745))) % 1.71/1.94 (step @p6762 :rule nary_cong :premises (@p6761 @p6760) :args (@t5944)) % 1.71/1.94 (step @p6763 :rule trans :premises (@p6762 @p6756)) % 1.71/1.94 (step @p6764 :rule cong :premises (@p6763) :args (@t5945)) % 1.71/1.94 (step @p6765 :rule cong :premises (@p961 @p6764) :args (@t5946)) % 1.71/1.94 (step @p6766 :rule refl :args (@t2817)) % 1.71/1.94 (step @p6767 :rule cong :premises (@p6766 @p6765) :args (@t5947)) % 1.71/1.94 (step @p6768 :rule refl :args (@t2820)) % 1.71/1.94 (step @p6769 :rule nary_cong :premises (@p4685 @p928 @p6768 @p6767) :args (@t5948)) % 1.71/1.94 (step @p6770 :rule trans :premises (@p6769 @p6755)) % 1.71/1.94 (step @p6771 :rule cong :premises (@p6770) :args ((forall @t2822 @t5948))) % 1.71/1.94 (step @p6772 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5867 @t2357 @t1064 @t2820 @t5949)) @t5948))) % 1.71/1.94 (step @p6773 :rule refl :args (@t5949)) % 1.71/1.94 (step @p6774 :rule refl :args (@t2820)) % 1.71/1.94 (step @p6775 :rule nary_cong :premises (@p6532 @p1601 @p1684 @p6774 @p6773) :args (@t5950)) % 1.71/1.94 (step @p6776 :rule aci_norm :args ((= @t5951 @t5950))) % 1.71/1.94 (step @p6777 :rule trans :premises (@p6776 @p6775)) % 1.71/1.94 (step @p6778 :rule cong :premises (@p6777) :args (@t5952)) % 1.71/1.94 (step @p6779 :rule trans :premises (@p6778 @p6772)) % 1.71/1.94 (step @p6780 :rule cong :premises (@p6779) :args (@t5953)) % 1.71/1.94 (step @p6781 :rule quant-merge-prenex :args ((= @t5953 @t5954))) % 1.71/1.94 (step @p6782 :rule symm :premises (@p6781)) % 1.71/1.94 (step @p6783 :rule quant_var_reordering :args ((= (forall @t5955 @t5951) @t5954))) % 1.71/1.94 (step @p6784 :rule trans :premises (@p6783 @p6782 @p6780)) % 1.71/1.94 (step @p6785 :rule trans :premises (@p6784 @p6771)) % 1.71/1.94 (step @p6786 :rule eq-symm :args (@t2819 @t289)) % 1.71/1.94 (step @p6787 :rule nary_cong :premises (@p6509 @p6786) :args (@t5956)) % 1.71/1.94 (step @p6788 :rule nary_cong :premises (@p6690 @p6787) :args (@t5957)) % 1.71/1.94 (step @p6789 :rule cong :premises (@p6788) :args (@t5958)) % 1.71/1.94 (step @p6790 :rule cong :premises (@p961 @p6789) :args (@t5959)) % 1.71/1.94 (step @p6791 :rule cong :premises (@p6766 @p6790) :args (@t5960)) % 1.71/1.94 (step @p6792 :rule nary_cong :premises (@p4685 @p6509 @p6768 @p6791) :args (@t5961)) % 1.71/1.94 (step @p6793 :rule aci_norm :args ((= @t5963 @t5961))) % 1.71/1.94 (step @p6794 :rule trans :premises (@p6793 @p6792)) % 1.71/1.94 (step @p6795 :rule cong :premises (@p6794) :args (@t5964)) % 1.71/1.94 (step @p6796 :rule trans :premises (@p6795 @p6785)) % 1.71/1.94 (step @p6797 :rule quant-merge-prenex :args ((= (forall @t1075 @t5966) @t5964))) % 1.71/1.94 (step @p6798 :rule alpha_equiv :args (@t5967 (@list @t2819) @t3833)) % 1.71/1.94 (step @p6799 :rule nary_cong :premises (@p1601 @p1684 @p6798) :args (@t5968)) % 1.71/1.94 (step @p6800 :rule quant-miniscope-or :args ((= @t5966 @t5968))) % 1.71/1.94 (step @p6801 :rule trans :premises (@p6800 @p6799)) % 1.71/1.94 (step @p6802 :rule symm :premises (@p6801)) % 1.71/1.94 (step @p6803 :rule cong :premises (@p6802) :args ((forall @t1075 (or @t2357 @t1064 @t5969)))) % 1.71/1.94 (step @p6804 :rule trans :premises (@p6803 @p6797)) % 1.71/1.94 (step @p6805 :rule trans :premises (@p6804 @p6796)) % 1.71/1.94 (step @p6806 :rule refl :args (@t5969)) % 1.71/1.94 (step @p6807 :rule nary_cong :premises (@p1615 @p1684 @p6806) :args (@t5970)) % 1.71/1.94 (step @p6808 :rule cong :premises (@p6807) :args ((forall @t1075 @t5970))) % 1.71/1.94 (step @p6809 :rule trans :premises (@p6808 @p6805)) % 1.71/1.94 (step @p6810 :rule aci_norm :args ((= (or @t197 @t5971) @t5970))) % 1.71/1.94 (step @p6811 :rule bool-impl-elim :args (@t7 @t5971)) % 1.71/1.94 (step @p6812 :rule trans :premises (@p6811 @p6810)) % 1.71/1.94 (step @p6813 :rule cong :premises (@p6812) :args ((forall @t1075 (=> @t7 @t5971)))) % 1.71/1.94 (step @p6814 :rule trans :premises (@p6813 @p6809)) % 1.71/1.94 (step @p6815 :rule refl :args (@t2817)) % 1.71/1.94 (step @p6816 :rule refl :args (@t279)) % 1.71/1.94 (step @p6817 :rule cong :premises (@p6816 @p6815) :args ((= @t279 @t2817))) % 1.71/1.94 (step @p6818 :rule symm :premises (@p6817)) % 1.71/1.94 (step @p6819 :rule eq_resolve :premises (@p6816 @p6818)) % 1.71/1.94 (step @p6820 :rule cong :premises (@p6819 @p6728) :args (@t5972)) % 1.71/1.94 (step @p6821 :rule nary_cong :premises (@p1018 @p6820) :args (@t5973)) % 1.71/1.94 (step @p6822 :rule cong :premises (@p6821) :args (@t5974)) % 1.71/1.94 (step @p6823 :rule nary_cong :premises (@p6509 @p6822) :args (@t5975)) % 1.71/1.94 (step @p6824 :rule quant-miniscope-or :args ((= (forall @t70 @t5976) @t5975))) % 1.71/1.94 (step @p6825 :rule aci_norm :args ((= @t5977 @t5976))) % 1.71/1.94 (step @p6826 :rule cong :premises (@p6825) :args ((forall @t70 @t5977))) % 1.71/1.94 (step @p6827 :rule trans :premises (@p6826 @p6824)) % 1.71/1.94 (step @p6828 :rule trans :premises (@p6827 @p6823)) % 1.71/1.94 (step @p6829 :rule aci_norm :args ((= (or @t3841 (or @t1064 @t5972)) @t5977))) % 1.71/1.94 (step @p6830 :rule bool-impl-elim :args (@t173 @t5972)) % 1.71/1.94 (step @p6831 :rule nary_cong :premises (@p1649 @p6830) :args ((or @t3841 @t5978))) % 1.71/1.94 (step @p6832 :rule trans :premises (@p6831 @p6829)) % 1.71/1.94 (step @p6833 :rule bool-impl-elim :args (@t21 @t5978)) % 1.71/1.94 (step @p6834 :rule trans :premises (@p6833 @p6832)) % 1.71/1.94 (step @p6835 :rule cong :premises (@p6834) :args ((forall @t70 (=> @t21 @t5978)))) % 1.71/1.94 (step @p6836 :rule trans :premises (@p6835 @p6828)) % 1.71/1.94 (step @p6837 :rule eq-symm :args (@t5937 @t279)) % 1.71/1.94 (step @p6838 :rule refl :args (@t279)) % 1.71/1.94 (step @p6839 :rule cong :premises (@p6743 @p6838) :args (@t1091)) % 1.71/1.94 (step @p6840 :rule trans :premises (@p6839 @p6837)) % 1.71/1.94 (step @p6841 :rule cong :premises (@p2142 @p6840) :args (@t1092)) % 1.71/1.94 (step @p6842 :rule cong :premises (@p1725 @p6841) :args (@t1093)) % 1.71/1.94 (step @p6843 :rule cong :premises (@p6842) :args (@t1094)) % 1.71/1.94 (step @p6844 :rule trans :premises (@p6843 @p6836)) % 1.71/1.94 (step @p6845 :rule cong :premises (@p1729 @p6844) :args (@t1095)) % 1.71/1.94 (step @p6846 :rule cong :premises (@p6845) :args (@t1096)) % 1.71/1.94 (step @p6847 :rule trans :premises (@p6846 @p6814)) % 1.71/1.94 (step @p6848 :rule refl :args (tptp.iftrueProp2)) % 1.71/1.94 (step @p6849 :rule cong :premises (@p6848 @p6847) :args (@t1097)) % 1.71/1.94 (step @p6850 :rule eq_resolve :premises (@p220 @p6849)) % 1.71/1.94 (step @p6851 :rule cong :premises (@p6850 @p6754) :args (@t5979)) % 1.71/1.94 (step @p6852 :rule aci_norm :args ((= (or @t2357 false @t2825 @t2823) @t2826))) % 1.71/1.94 (step @p6853 :rule absorb :args ((= (and false @t5980) false))) % 1.71/1.94 (step @p6854 :rule refl :args (@t5980)) % 1.71/1.94 (step @p6855 :rule nary_cong :premises (@p928 @p6854) :args (@t5981)) % 1.71/1.94 (step @p6856 :rule trans :premises (@p6855 @p6853)) % 1.71/1.94 (step @p6857 :rule nary_cong :premises (@p6761 @p6856) :args (@t5982)) % 1.71/1.94 (step @p6858 :rule trans :premises (@p6857 @p6756)) % 1.71/1.94 (step @p6859 :rule cong :premises (@p6858) :args (@t5983)) % 1.71/1.94 (step @p6860 :rule cong :premises (@p961 @p6859) :args (@t5984)) % 1.71/1.94 (step @p6861 :rule cong :premises (@p963 @p6860) :args (@t5985)) % 1.71/1.94 (step @p6862 :rule refl :args (@t2825)) % 1.71/1.94 (step @p6863 :rule nary_cong :premises (@p4685 @p928 @p6862 @p6861) :args (@t5986)) % 1.71/1.94 (step @p6864 :rule trans :premises (@p6863 @p6852)) % 1.71/1.94 (step @p6865 :rule cong :premises (@p6864) :args ((forall @t2827 @t5986))) % 1.71/1.94 (step @p6866 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5867 @t2357 @t1064 @t2825 @t5987)) @t5986))) % 1.71/1.94 (step @p6867 :rule refl :args (@t5987)) % 1.71/1.94 (step @p6868 :rule refl :args (@t2825)) % 1.71/1.94 (step @p6869 :rule nary_cong :premises (@p6532 @p1601 @p1684 @p6868 @p6867) :args (@t5988)) % 1.71/1.94 (step @p6870 :rule aci_norm :args ((= @t5989 @t5988))) % 1.71/1.94 (step @p6871 :rule trans :premises (@p6870 @p6869)) % 1.71/1.94 (step @p6872 :rule cong :premises (@p6871) :args (@t5990)) % 1.71/1.94 (step @p6873 :rule trans :premises (@p6872 @p6866)) % 1.71/1.94 (step @p6874 :rule cong :premises (@p6873) :args (@t5991)) % 1.71/1.94 (step @p6875 :rule quant-merge-prenex :args ((= @t5991 @t5992))) % 1.71/1.94 (step @p6876 :rule symm :premises (@p6875)) % 1.71/1.94 (step @p6877 :rule quant_var_reordering :args ((= (forall @t5993 @t5989) @t5992))) % 1.71/1.94 (step @p6878 :rule trans :premises (@p6877 @p6876 @p6874)) % 1.71/1.94 (step @p6879 :rule trans :premises (@p6878 @p6865)) % 1.71/1.94 (step @p6880 :rule eq-symm :args (@t2824 @t289)) % 1.71/1.94 (step @p6881 :rule nary_cong :premises (@p6509 @p6880) :args (@t5994)) % 1.71/1.94 (step @p6882 :rule nary_cong :premises (@p6690 @p6881) :args (@t5995)) % 1.71/1.94 (step @p6883 :rule cong :premises (@p6882) :args (@t5996)) % 1.71/1.94 (step @p6884 :rule cong :premises (@p961 @p6883) :args (@t5997)) % 1.71/1.94 (step @p6885 :rule cong :premises (@p963 @p6884) :args (@t5998)) % 1.71/1.94 (step @p6886 :rule nary_cong :premises (@p4685 @p6509 @p6862 @p6885) :args (@t5999)) % 1.71/1.94 (step @p6887 :rule aci_norm :args ((= @t6001 @t5999))) % 1.71/1.94 (step @p6888 :rule trans :premises (@p6887 @p6886)) % 1.71/1.94 (step @p6889 :rule cong :premises (@p6888) :args (@t6002)) % 1.71/1.94 (step @p6890 :rule trans :premises (@p6889 @p6879)) % 1.71/1.94 (step @p6891 :rule quant-merge-prenex :args ((= (forall @t1075 @t6004) @t6002))) % 1.71/1.94 (step @p6892 :rule alpha_equiv :args (@t6005 (@list @t2824) @t3833)) % 1.71/1.94 (step @p6893 :rule nary_cong :premises (@p1601 @p1684 @p6892) :args (@t6006)) % 1.71/1.94 (step @p6894 :rule quant-miniscope-or :args ((= @t6004 @t6006))) % 1.71/1.94 (step @p6895 :rule trans :premises (@p6894 @p6893)) % 1.71/1.94 (step @p6896 :rule symm :premises (@p6895)) % 1.71/1.94 (step @p6897 :rule cong :premises (@p6896) :args ((forall @t1075 (or @t2357 @t1064 @t6008)))) % 1.71/1.94 (step @p6898 :rule trans :premises (@p6897 @p6891)) % 1.71/1.94 (step @p6899 :rule trans :premises (@p6898 @p6890)) % 1.71/1.94 (step @p6900 :rule refl :args (@t6008)) % 1.71/1.94 (step @p6901 :rule nary_cong :premises (@p1615 @p1684 @p6900) :args (@t6009)) % 1.71/1.94 (step @p6902 :rule cong :premises (@p6901) :args ((forall @t1075 @t6009))) % 1.71/1.94 (step @p6903 :rule trans :premises (@p6902 @p6899)) % 1.71/1.94 (step @p6904 :rule aci_norm :args ((= (or @t197 @t6010) @t6009))) % 1.71/1.94 (step @p6905 :rule bool-impl-elim :args (@t7 @t6010)) % 1.71/1.94 (step @p6906 :rule trans :premises (@p6905 @p6904)) % 1.71/1.94 (step @p6907 :rule cong :premises (@p6906) :args ((forall @t1075 (=> @t7 @t6010)))) % 1.71/1.94 (step @p6908 :rule trans :premises (@p6907 @p6903)) % 1.71/1.94 (step @p6909 :rule refl :args ((tptp.in @t4 @t5937))) % 1.71/1.94 (step @p6910 :rule cong :premises (@p976 @p6717) :args (@t6007)) % 1.71/1.94 (step @p6911 :rule trans :premises (@p6910 @p6909)) % 1.71/1.94 (step @p6912 :rule ho_cong :premises (@p979 @p6717)) % 1.71/1.94 (step @p6913 :rule cong :premises (@p6912 @p6911) :args ((= (_ @t5 @t5933) @t6007))) % 1.71/1.94 (step @p6914 :rule symm :premises (@p6913)) % 1.71/1.94 (step @p6915 :rule refl :args (@t6011)) % 1.71/1.94 (step @p6916 :rule eq_resolve :premises (@p6915 @p6914)) % 1.71/1.94 (step @p6917 :rule ho_cong :premises (@p979 @p6728)) % 1.71/1.94 (step @p6918 :rule trans :premises (@p6917 @p6916)) % 1.71/1.94 (step @p6919 :rule nary_cong :premises (@p1018 @p6918) :args (@t6012)) % 1.71/1.94 (step @p6920 :rule cong :premises (@p6919) :args (@t6013)) % 1.71/1.94 (step @p6921 :rule nary_cong :premises (@p6509 @p6920) :args (@t6014)) % 1.71/1.94 (step @p6922 :rule quant-miniscope-or :args ((= (forall @t70 @t6015) @t6014))) % 1.71/1.94 (step @p6923 :rule aci_norm :args ((= @t6016 @t6015))) % 1.71/1.94 (step @p6924 :rule cong :premises (@p6923) :args ((forall @t70 @t6016))) % 1.71/1.94 (step @p6925 :rule trans :premises (@p6924 @p6922)) % 1.71/1.94 (step @p6926 :rule trans :premises (@p6925 @p6921)) % 1.71/1.94 (step @p6927 :rule aci_norm :args ((= (or @t3841 (or @t1064 @t6011)) @t6016))) % 1.71/1.94 (step @p6928 :rule bool-impl-elim :args (@t173 @t6011)) % 1.71/1.94 (step @p6929 :rule nary_cong :premises (@p1649 @p6928) :args ((or @t3841 @t6017))) % 1.71/1.94 (step @p6930 :rule trans :premises (@p6929 @p6927)) % 1.71/1.94 (step @p6931 :rule bool-impl-elim :args (@t21 @t6017)) % 1.71/1.94 (step @p6932 :rule trans :premises (@p6931 @p6930)) % 1.71/1.94 (step @p6933 :rule cong :premises (@p6932) :args ((forall @t70 (=> @t21 @t6017)))) % 1.71/1.94 (step @p6934 :rule trans :premises (@p6933 @p6926)) % 1.71/1.94 (step @p6935 :rule refl :args (@t5)) % 1.71/1.94 (step @p6936 :rule ho_cong :premises (@p6935 @p6743)) % 1.71/1.94 (step @p6937 :rule cong :premises (@p2142 @p6936) :args (@t1085)) % 1.71/1.94 (step @p6938 :rule cong :premises (@p1725 @p6937) :args (@t1086)) % 1.71/1.94 (step @p6939 :rule cong :premises (@p6938) :args (@t1087)) % 1.71/1.94 (step @p6940 :rule trans :premises (@p6939 @p6934)) % 1.71/1.94 (step @p6941 :rule cong :premises (@p1729 @p6940) :args (@t1088)) % 1.71/1.94 (step @p6942 :rule cong :premises (@p6941) :args (@t1089)) % 1.71/1.94 (step @p6943 :rule trans :premises (@p6942 @p6908)) % 1.71/1.94 (step @p6944 :rule refl :args (tptp.iftrueProp1)) % 1.71/1.94 (step @p6945 :rule cong :premises (@p6944 @p6943) :args (@t1090)) % 1.71/1.94 (step @p6946 :rule eq_resolve :premises (@p219 @p6945)) % 1.71/1.94 (step @p6947 :rule cong :premises (@p6946 @p6851) :args (@t6018)) % 1.71/1.94 (step @p6948 :rule aci_norm :args ((= (or false @t2829) @t2829))) % 1.71/1.94 (step @p6949 :rule aci_norm :args ((= (and true @t2829) @t2829))) % 1.71/1.94 (step @p6950 :rule refl :args (@t2829)) % 1.71/1.94 (step @p6951 :rule nary_cong :premises (@p1657 @p6950) :args (@t6019)) % 1.71/1.94 (step @p6952 :rule trans :premises (@p6951 @p6949)) % 1.71/1.94 (step @p6953 :rule absorb :args ((= @t6020 false))) % 1.71/1.94 (step @p6954 :rule nary_cong :premises (@p6953 @p6952) :args (@t6021)) % 1.71/1.94 (step @p6955 :rule trans :premises (@p6954 @p6948)) % 1.71/1.94 (step @p6956 :rule cong :premises (@p6955) :args (@t6022)) % 1.71/1.94 (step @p6957 :rule cong :premises (@p961 @p6956) :args (@t6023)) % 1.71/1.94 (step @p6958 :rule refl :args (@t2830)) % 1.71/1.94 (step @p6959 :rule cong :premises (@p6958 @p6957) :args (@t6024)) % 1.71/1.94 (step @p6960 :rule refl :args (@t2831)) % 1.71/1.94 (step @p6961 :rule nary_cong :premises (@p4685 @p6960 @p6959) :args (@t6025)) % 1.71/1.94 (step @p6962 :rule aci_norm :args ((= @t6026 @t6025))) % 1.71/1.94 (step @p6963 :rule trans :premises (@p6962 @p6961)) % 1.71/1.94 (step @p6964 :rule cong :premises (@p6963) :args ((forall @t2832 @t6026))) % 1.71/1.94 (step @p6965 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t2357 @t173 @t2831 @t6027)) @t6026))) % 1.71/1.94 (step @p6966 :rule refl :args (@t6027)) % 1.71/1.94 (step @p6967 :rule refl :args (@t2831)) % 1.71/1.94 (step @p6968 :rule nary_cong :premises (@p1677 @p1601 @p1669 @p6967 @p6966) :args (@t6028)) % 1.71/1.94 (step @p6969 :rule aci_norm :args ((= @t6029 @t6028))) % 1.71/1.94 (step @p6970 :rule trans :premises (@p6969 @p6968)) % 1.71/1.94 (step @p6971 :rule cong :premises (@p6970) :args (@t6030)) % 1.71/1.94 (step @p6972 :rule trans :premises (@p6971 @p6965)) % 1.71/1.94 (step @p6973 :rule cong :premises (@p6972) :args (@t6031)) % 1.71/1.94 (step @p6974 :rule quant-merge-prenex :args ((= @t6031 @t6032))) % 1.71/1.94 (step @p6975 :rule symm :premises (@p6974)) % 1.71/1.94 (step @p6976 :rule quant_var_reordering :args ((= (forall @t6033 @t6029) @t6032))) % 1.71/1.94 (step @p6977 :rule trans :premises (@p6976 @p6975 @p6973)) % 1.71/1.94 (step @p6978 :rule trans :premises (@p6977 @p6964)) % 1.71/1.94 (step @p6979 :rule eq-symm :args (@t2828 @t289)) % 1.71/1.94 (step @p6980 :rule nary_cong :premises (@p6509 @p6979) :args (@t6034)) % 1.71/1.94 (step @p6981 :rule nary_cong :premises (@p6690 @p6980) :args (@t6035)) % 1.71/1.94 (step @p6982 :rule cong :premises (@p6981) :args (@t6036)) % 1.71/1.94 (step @p6983 :rule cong :premises (@p961 @p6982) :args (@t6037)) % 1.71/1.94 (step @p6984 :rule cong :premises (@p6958 @p6983) :args (@t6038)) % 1.71/1.94 (step @p6985 :rule nary_cong :premises (@p4685 @p2142 @p6960 @p6984) :args (@t6039)) % 1.71/1.94 (step @p6986 :rule aci_norm :args ((= @t6041 @t6039))) % 1.71/1.94 (step @p6987 :rule trans :premises (@p6986 @p6985)) % 1.71/1.94 (step @p6988 :rule cong :premises (@p6987) :args (@t6042)) % 1.71/1.94 (step @p6989 :rule trans :premises (@p6988 @p6978)) % 1.71/1.94 (step @p6990 :rule quant-merge-prenex :args ((= (forall @t1075 @t6044) @t6042))) % 1.71/1.94 (step @p6991 :rule alpha_equiv :args (@t6045 (@list @t2828) @t3833)) % 1.71/1.94 (step @p6992 :rule nary_cong :premises (@p1601 @p1669 @p6991) :args (@t6046)) % 1.71/1.94 (step @p6993 :rule quant-miniscope-or :args ((= @t6044 @t6046))) % 1.71/1.94 (step @p6994 :rule trans :premises (@p6993 @p6992)) % 1.71/1.94 (step @p6995 :rule symm :premises (@p6994)) % 1.71/1.94 (step @p6996 :rule cong :premises (@p6995) :args ((forall @t1075 (or @t2357 @t173 @t6047)))) % 1.71/1.94 (step @p6997 :rule trans :premises (@p6996 @p6990)) % 1.71/1.94 (step @p6998 :rule trans :premises (@p6997 @p6989)) % 1.71/1.94 (step @p6999 :rule refl :args (@t6047)) % 1.71/1.94 (step @p7000 :rule nary_cong :premises (@p1615 @p1669 @p6999) :args (@t6048)) % 1.71/1.94 (step @p7001 :rule cong :premises (@p7000) :args ((forall @t1075 @t6048))) % 1.71/1.94 (step @p7002 :rule trans :premises (@p7001 @p6998)) % 1.71/1.94 (step @p7003 :rule aci_norm :args ((= (or @t197 @t6049) @t6048))) % 1.71/1.94 (step @p7004 :rule bool-impl-elim :args (@t7 @t6049)) % 1.71/1.94 (step @p7005 :rule trans :premises (@p7004 @p7003)) % 1.71/1.94 (step @p7006 :rule cong :premises (@p7005) :args ((forall @t1075 (=> @t7 @t6049)))) % 1.71/1.94 (step @p7007 :rule trans :premises (@p7006 @p7002)) % 1.71/1.94 (step @p7008 :rule cong :premises (@p6429 @p6728) :args (@t6050)) % 1.71/1.94 (step @p7009 :rule nary_cong :premises (@p1018 @p7008) :args (@t6051)) % 1.71/1.94 (step @p7010 :rule cong :premises (@p7009) :args (@t6052)) % 1.71/1.94 (step @p7011 :rule nary_cong :premises (@p2142 @p7010) :args (@t6053)) % 1.71/1.94 (step @p7012 :rule quant-miniscope-or :args ((= (forall @t70 @t6054) @t6053))) % 1.71/1.94 (step @p7013 :rule aci_norm :args ((= @t6055 @t6054))) % 1.71/1.94 (step @p7014 :rule cong :premises (@p7013) :args ((forall @t70 @t6055))) % 1.71/1.94 (step @p7015 :rule trans :premises (@p7014 @p7012)) % 1.71/1.94 (step @p7016 :rule trans :premises (@p7015 @p7011)) % 1.71/1.94 (step @p7017 :rule aci_norm :args ((= (or @t3841 (or @t173 @t6050)) @t6055))) % 1.71/1.94 (step @p7018 :rule refl :args (@t6050)) % 1.71/1.94 (step @p7019 :rule nary_cong :premises (@p1675 @p7018) :args ((or @t4062 @t6050))) % 1.71/1.94 (step @p7020 :rule bool-impl-elim :args (@t1064 @t6050)) % 1.71/1.94 (step @p7021 :rule trans :premises (@p7020 @p7019)) % 1.71/1.94 (step @p7022 :rule nary_cong :premises (@p1649 @p7021) :args ((or @t3841 @t6056))) % 1.71/1.94 (step @p7023 :rule trans :premises (@p7022 @p7017)) % 1.71/1.94 (step @p7024 :rule bool-impl-elim :args (@t21 @t6056)) % 1.71/1.94 (step @p7025 :rule trans :premises (@p7024 @p7023)) % 1.71/1.94 (step @p7026 :rule cong :premises (@p7025) :args ((forall @t70 (=> @t21 @t6056)))) % 1.71/1.94 (step @p7027 :rule trans :premises (@p7026 @p7016)) % 1.71/1.94 (step @p7028 :rule eq-symm :args (@t5937 @t275)) % 1.71/1.94 (step @p7029 :rule refl :args (@t275)) % 1.71/1.94 (step @p7030 :rule cong :premises (@p6743 @p7029) :args (@t1078)) % 1.71/1.94 (step @p7031 :rule trans :premises (@p7030 @p7028)) % 1.71/1.94 (step @p7032 :rule cong :premises (@p6509 @p7031) :args (@t1079)) % 1.71/1.94 (step @p7033 :rule cong :premises (@p1725 @p7032) :args (@t1080)) % 1.71/1.94 (step @p7034 :rule cong :premises (@p7033) :args (@t1081)) % 1.71/1.94 (step @p7035 :rule trans :premises (@p7034 @p7027)) % 1.71/1.94 (step @p7036 :rule cong :premises (@p1729 @p7035) :args (@t1082)) % 1.71/1.94 (step @p7037 :rule cong :premises (@p7036) :args (@t1083)) % 1.71/1.94 (step @p7038 :rule trans :premises (@p7037 @p7007)) % 1.71/1.94 (step @p7039 :rule refl :args (tptp.iffalseProp2)) % 1.71/1.94 (step @p7040 :rule cong :premises (@p7039 @p7038) :args (@t1084)) % 1.71/1.94 (step @p7041 :rule eq_resolve :premises (@p218 @p7040)) % 1.71/1.94 (step @p7042 :rule cong :premises (@p7041 @p6947) :args (@t6057)) % 1.71/1.94 (step @p7043 :rule aci_norm :args ((= (or false @t2834) @t2834))) % 1.71/1.94 (step @p7044 :rule aci_norm :args ((= (and true @t2834) @t2834))) % 1.71/1.94 (step @p7045 :rule refl :args (@t2834)) % 1.71/1.94 (step @p7046 :rule nary_cong :premises (@p1657 @p7045) :args (@t6058)) % 1.71/1.94 (step @p7047 :rule trans :premises (@p7046 @p7044)) % 1.71/1.94 (step @p7048 :rule nary_cong :premises (@p6953 @p7047) :args (@t6059)) % 1.71/1.94 (step @p7049 :rule trans :premises (@p7048 @p7043)) % 1.71/1.94 (step @p7050 :rule cong :premises (@p7049) :args (@t6060)) % 1.71/1.94 (step @p7051 :rule cong :premises (@p961 @p7050) :args (@t6061)) % 1.71/1.94 (step @p7052 :rule refl :args (@t2833)) % 1.71/1.94 (step @p7053 :rule cong :premises (@p7052 @p7051) :args (@t6062)) % 1.71/1.94 (step @p7054 :rule refl :args (@t2835)) % 1.71/1.94 (step @p7055 :rule nary_cong :premises (@p4685 @p7054 @p7053) :args (@t6063)) % 1.71/1.94 (step @p7056 :rule aci_norm :args ((= @t6064 @t6063))) % 1.71/1.94 (step @p7057 :rule trans :premises (@p7056 @p7055)) % 1.71/1.94 (step @p7058 :rule cong :premises (@p7057) :args ((forall @t2836 @t6064))) % 1.71/1.94 (step @p7059 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t2357 @t173 @t2835 @t6065)) @t6064))) % 1.71/1.94 (step @p7060 :rule refl :args (@t6065)) % 1.71/1.94 (step @p7061 :rule refl :args (@t2835)) % 1.71/1.94 (step @p7062 :rule nary_cong :premises (@p1677 @p1601 @p1669 @p7061 @p7060) :args (@t6066)) % 1.71/1.94 (step @p7063 :rule aci_norm :args ((= @t6067 @t6066))) % 1.71/1.94 (step @p7064 :rule trans :premises (@p7063 @p7062)) % 1.71/1.94 (step @p7065 :rule cong :premises (@p7064) :args (@t6068)) % 1.71/1.94 (step @p7066 :rule trans :premises (@p7065 @p7059)) % 1.71/1.94 (step @p7067 :rule cong :premises (@p7066) :args (@t6069)) % 1.71/1.94 (step @p7068 :rule quant-merge-prenex :args ((= @t6069 @t6070))) % 1.71/1.94 (step @p7069 :rule symm :premises (@p7068)) % 1.71/1.94 (step @p7070 :rule quant_var_reordering :args ((= (forall @t6071 @t6067) @t6070))) % 1.71/1.94 (step @p7071 :rule trans :premises (@p7070 @p7069 @p7067)) % 1.71/1.94 (step @p7072 :rule trans :premises (@p7071 @p7058)) % 1.71/1.94 (step @p7073 :rule eq-symm :args (@t2833 @t289)) % 1.71/1.94 (step @p7074 :rule nary_cong :premises (@p6509 @p7073) :args (@t6072)) % 1.71/1.94 (step @p7075 :rule nary_cong :premises (@p6690 @p7074) :args (@t6073)) % 1.71/1.94 (step @p7076 :rule cong :premises (@p7075) :args (@t6074)) % 1.71/1.94 (step @p7077 :rule cong :premises (@p961 @p7076) :args (@t6075)) % 1.71/1.94 (step @p7078 :rule cong :premises (@p7052 @p7077) :args (@t6076)) % 1.71/1.94 (step @p7079 :rule nary_cong :premises (@p4685 @p2142 @p7054 @p7078) :args (@t6077)) % 1.71/1.94 (step @p7080 :rule aci_norm :args ((= @t6079 @t6077))) % 1.71/1.94 (step @p7081 :rule trans :premises (@p7080 @p7079)) % 1.71/1.94 (step @p7082 :rule cong :premises (@p7081) :args (@t6080)) % 1.71/1.94 (step @p7083 :rule trans :premises (@p7082 @p7072)) % 1.71/1.94 (step @p7084 :rule quant-merge-prenex :args ((= (forall @t1075 @t6082) @t6080))) % 1.71/1.94 (step @p7085 :rule alpha_equiv :args (@t6083 (@list @t2833) @t3833)) % 1.71/1.94 (step @p7086 :rule nary_cong :premises (@p1601 @p1669 @p7085) :args (@t6084)) % 1.71/1.94 (step @p7087 :rule quant-miniscope-or :args ((= @t6082 @t6084))) % 1.71/1.94 (step @p7088 :rule trans :premises (@p7087 @p7086)) % 1.71/1.94 (step @p7089 :rule symm :premises (@p7088)) % 1.71/1.94 (step @p7090 :rule cong :premises (@p7089) :args ((forall @t1075 (or @t2357 @t173 @t6086)))) % 1.71/1.94 (step @p7091 :rule trans :premises (@p7090 @p7084)) % 1.71/1.94 (step @p7092 :rule trans :premises (@p7091 @p7083)) % 1.71/1.94 (step @p7093 :rule refl :args (@t6086)) % 1.71/1.94 (step @p7094 :rule nary_cong :premises (@p1615 @p1669 @p7093) :args (@t6087)) % 1.71/1.94 (step @p7095 :rule cong :premises (@p7094) :args ((forall @t1075 @t6087))) % 1.71/1.94 (step @p7096 :rule trans :premises (@p7095 @p7092)) % 1.71/1.94 (step @p7097 :rule aci_norm :args ((= (or @t197 @t6088) @t6087))) % 1.71/1.94 (step @p7098 :rule bool-impl-elim :args (@t7 @t6088)) % 1.71/1.94 (step @p7099 :rule trans :premises (@p7098 @p7097)) % 1.71/1.94 (step @p7100 :rule cong :premises (@p7099) :args ((forall @t1075 (=> @t7 @t6088)))) % 1.71/1.94 (step @p7101 :rule trans :premises (@p7100 @p7096)) % 1.71/1.94 (step @p7102 :rule refl :args ((tptp.in @t19 @t5937))) % 1.71/1.94 (step @p7103 :rule cong :premises (@p1104 @p6717) :args (@t6085)) % 1.71/1.94 (step @p7104 :rule trans :premises (@p7103 @p7102)) % 1.71/1.94 (step @p7105 :rule refl :args (@t20)) % 1.71/1.94 (step @p7106 :rule ho_cong :premises (@p7105 @p6717)) % 1.71/1.94 (step @p7107 :rule cong :premises (@p7106 @p7104) :args ((= (_ @t20 @t5933) @t6085))) % 1.71/1.94 (step @p7108 :rule symm :premises (@p7107)) % 1.71/1.94 (step @p7109 :rule refl :args (@t6089)) % 1.71/1.94 (step @p7110 :rule eq_resolve :premises (@p7109 @p7108)) % 1.71/1.94 (step @p7111 :rule ho_cong :premises (@p7105 @p6728)) % 1.71/1.94 (step @p7112 :rule trans :premises (@p7111 @p7110)) % 1.71/1.94 (step @p7113 :rule nary_cong :premises (@p1018 @p7112) :args (@t6090)) % 1.71/1.94 (step @p7114 :rule cong :premises (@p7113) :args (@t6091)) % 1.71/1.94 (step @p7115 :rule nary_cong :premises (@p2142 @p7114) :args (@t6092)) % 1.71/1.94 (step @p7116 :rule quant-miniscope-or :args ((= (forall @t70 @t6093) @t6092))) % 1.71/1.94 (step @p7117 :rule aci_norm :args ((= @t6094 @t6093))) % 1.71/1.94 (step @p7118 :rule cong :premises (@p7117) :args ((forall @t70 @t6094))) % 1.71/1.94 (step @p7119 :rule trans :premises (@p7118 @p7116)) % 1.71/1.94 (step @p7120 :rule trans :premises (@p7119 @p7115)) % 1.71/1.94 (step @p7121 :rule aci_norm :args ((= (or @t3841 (or @t173 @t6089)) @t6094))) % 1.71/1.94 (step @p7122 :rule nary_cong :premises (@p1675 @p7109) :args ((or @t4062 @t6089))) % 1.71/1.94 (step @p7123 :rule bool-impl-elim :args (@t1064 @t6089)) % 1.71/1.94 (step @p7124 :rule trans :premises (@p7123 @p7122)) % 1.71/1.94 (step @p7125 :rule nary_cong :premises (@p1649 @p7124) :args ((or @t3841 @t6095))) % 1.71/1.94 (step @p7126 :rule trans :premises (@p7125 @p7121)) % 1.71/1.94 (step @p7127 :rule bool-impl-elim :args (@t21 @t6095)) % 1.71/1.94 (step @p7128 :rule trans :premises (@p7127 @p7126)) % 1.71/1.94 (step @p7129 :rule cong :premises (@p7128) :args ((forall @t70 (=> @t21 @t6095)))) % 1.71/1.94 (step @p7130 :rule trans :premises (@p7129 @p7120)) % 1.71/1.94 (step @p7131 :rule refl :args (@t20)) % 1.71/1.94 (step @p7132 :rule ho_cong :premises (@p7131 @p6743)) % 1.71/1.94 (step @p7133 :rule cong :premises (@p6509 @p7132) :args (@t1071)) % 1.71/1.94 (step @p7134 :rule cong :premises (@p1725 @p7133) :args (@t1072)) % 1.71/1.94 (step @p7135 :rule cong :premises (@p7134) :args (@t1073)) % 1.71/1.94 (step @p7136 :rule trans :premises (@p7135 @p7130)) % 1.71/1.94 (step @p7137 :rule cong :premises (@p1729 @p7136) :args (@t1074)) % 1.71/1.94 (step @p7138 :rule cong :premises (@p7137) :args (@t1076)) % 1.71/1.94 (step @p7139 :rule trans :premises (@p7138 @p7101)) % 1.71/1.94 (step @p7140 :rule refl :args (tptp.iffalseProp1)) % 1.71/1.94 (step @p7141 :rule cong :premises (@p7140 @p7139) :args (@t1077)) % 1.71/1.94 (step @p7142 :rule eq_resolve :premises (@p217 @p7141)) % 1.71/1.94 (step @p7143 :rule cong :premises (@p7142 @p7042) :args (@t6096)) % 1.71/1.94 (step @p7144 :rule refl :args ((tptp.lam @t2 @t1 @t1052))) % 1.71/1.94 (step @p7145 :rule refl :args (@t2837)) % 1.71/1.94 (step @p7146 :rule cong :premises (@p7145) :args (@t2838)) % 1.71/1.94 (step @p7147 :rule cong :premises (@p973 @p2930 @p7146) :args (@t2839)) % 1.71/1.94 (step @p7148 :rule trans :premises (@p7147 @p7144)) % 1.71/1.94 (step @p7149 :rule refl :args (@t928)) % 1.71/1.94 (step @p7150 :rule ho_cong :premises (@p7149 @p7146)) % 1.71/1.94 (step @p7151 :rule cong :premises (@p7150 @p7148) :args ((= (_ @t928 @t2838) @t2839))) % 1.71/1.94 (step @p7152 :rule symm :premises (@p7151)) % 1.71/1.94 (step @p7153 :rule refl :args (@t1053)) % 1.71/1.94 (step @p7154 :rule eq_resolve :premises (@p7153 @p7152)) % 1.71/1.94 (step @p7155 :rule refl :args (@t902)) % 1.71/1.94 (step @p7156 :rule cong :premises (@p7155 @p7145) :args ((= @t902 @t2837))) % 1.71/1.94 (step @p7157 :rule symm :premises (@p7156)) % 1.71/1.94 (step @p7158 :rule eq_resolve :premises (@p7155 @p7157)) % 1.71/1.94 (step @p7159 :rule cong :premises (@p7158) :args (@t1052)) % 1.71/1.94 (step @p7160 :rule ho_cong :premises (@p7149 @p7159)) % 1.71/1.94 (step @p7161 :rule trans :premises (@p7160 @p7154)) % 1.71/1.94 (step @p7162 :rule cong :premises (@p840 @p7161) :args (@t6097)) % 1.71/1.94 (step @p7163 :rule nary_cong :premises (@p911 @p7162) :args (@t6098)) % 1.71/1.94 (step @p7164 :rule cong :premises (@p7163) :args ((forall @t891 @t6098))) % 1.71/1.94 (step @p7165 :rule bool-impl-elim :args (@t910 @t6097)) % 1.71/1.94 (step @p7166 :rule cong :premises (@p7165) :args ((forall @t891 (=> @t910 @t6097)))) % 1.71/1.94 (step @p7167 :rule trans :premises (@p7166 @p7164)) % 1.71/1.94 (step @p7168 :rule eq-symm :args (@t1053 @t882)) % 1.71/1.94 (step @p7169 :rule refl :args (@t910)) % 1.71/1.94 (step @p7170 :rule cong :premises (@p7169 @p7168) :args (@t1061)) % 1.71/1.94 (step @p7171 :rule cong :premises (@p7170) :args (@t1062)) % 1.71/1.94 (step @p7172 :rule trans :premises (@p7171 @p7167)) % 1.71/1.94 (step @p7173 :rule refl :args (tptp.eta2)) % 1.71/1.94 (step @p7174 :rule cong :premises (@p7173 @p7172) :args (@t1063)) % 1.71/1.94 (step @p7175 :rule eq_resolve :premises (@p216 @p7174)) % 1.71/1.94 (step @p7176 :rule cong :premises (@p7175 @p7143) :args (@t6099)) % 1.71/1.94 (step @p7177 :rule eq-symm :args (@t2851 tptp.beta2)) % 1.71/1.94 (step @p7178 :rule refl :args (tptp.beta2)) % 1.71/1.94 (step @p7179 :rule aci_norm :args ((= @t6101 @t2849))) % 1.71/1.94 (step @p7180 :rule cong :premises (@p7179) :args (@t6102)) % 1.71/1.94 (step @p7181 :rule quant-merge-prenex :args ((= (forall @t924 @t6104) @t6102))) % 1.71/1.94 (step @p7182 :rule alpha_equiv :args (@t6105 (@list @t2841) @t3867)) % 1.71/1.94 (step @p7183 :rule refl :args (@t2848)) % 1.71/1.94 (step @p7184 :rule nary_cong :premises (@p7183 @p7182) :args (@t6106)) % 1.71/1.94 (step @p7185 :rule quant-miniscope-or :args ((= @t6104 @t6106))) % 1.71/1.94 (step @p7186 :rule trans :premises (@p7185 @p7184)) % 1.71/1.94 (step @p7187 :rule symm :premises (@p7186)) % 1.71/1.94 (step @p7188 :rule cong :premises (@p7187) :args ((forall @t924 (or @t2848 @t6107)))) % 1.71/1.94 (step @p7189 :rule trans :premises (@p7188 @p7181)) % 1.71/1.94 (step @p7190 :rule trans :premises (@p7189 @p7180)) % 1.71/1.94 (step @p7191 :rule bool-impl-elim :args (@t2847 @t6107)) % 1.71/1.94 (step @p7192 :rule cong :premises (@p7191) :args ((forall @t924 (=> @t2847 @t6107)))) % 1.71/1.94 (step @p7193 :rule trans :premises (@p7192 @p7190)) % 1.71/1.94 (step @p7194 :rule refl :args (@t1)) % 1.71/1.94 (step @p7195 :rule cong :premises (@p961 @p7194 @p960) :args (@t6108)) % 1.71/1.94 (step @p7196 :rule cong :premises (@p961 @p7194 @p7195 @p963) :args (@t6109)) % 1.71/1.94 (step @p7197 :rule refl :args (@t2845)) % 1.71/1.94 (step @p7198 :rule cong :premises (@p7197 @p7196) :args (@t6110)) % 1.71/1.94 (step @p7199 :rule nary_cong :premises (@p4685 @p7198) :args (@t6111)) % 1.71/1.94 (step @p7200 :rule cong :premises (@p7199) :args ((forall @t9 @t6111))) % 1.71/1.94 (step @p7201 :rule refl :args ((tptp.ap @t2 @t1 @t1045 @t4))) % 1.71/1.94 (step @p7202 :rule refl :args ((tptp.lam @t2 @t1 @t1044))) % 1.71/1.94 (step @p7203 :rule cong :premises (@p973 @p2930 @p972) :args (@t6108)) % 1.71/1.94 (step @p7204 :rule trans :premises (@p7203 @p7202)) % 1.71/1.94 (step @p7205 :rule cong :premises (@p973 @p2930 @p7204 @p976) :args (@t6109)) % 1.71/1.94 (step @p7206 :rule trans :premises (@p7205 @p7201)) % 1.71/1.94 (step @p7207 :rule refl :args (@t900)) % 1.71/1.94 (step @p7208 :rule ho_cong :premises (@p7207 @p7204)) % 1.71/1.94 (step @p7209 :rule ho_cong :premises (@p7208 @p976)) % 1.71/1.94 (step @p7210 :rule cong :premises (@p7209 @p7206) :args ((= (_ (_ @t900 @t6108) @t4) @t6109))) % 1.71/1.94 (step @p7211 :rule symm :premises (@p7210)) % 1.71/1.94 (step @p7212 :rule refl :args (@t1046)) % 1.71/1.94 (step @p7213 :rule eq_resolve :premises (@p7212 @p7211)) % 1.71/1.94 (step @p7214 :rule ho_cong :premises (@p7149 @p972)) % 1.71/1.94 (step @p7215 :rule cong :premises (@p7214 @p7204) :args ((= (_ @t928 @t3835) @t6108))) % 1.71/1.94 (step @p7216 :rule symm :premises (@p7215)) % 1.71/1.94 (step @p7217 :rule refl :args (@t1045)) % 1.71/1.94 (step @p7218 :rule eq_resolve :premises (@p7217 @p7216)) % 1.71/1.94 (step @p7219 :rule ho_cong :premises (@p7149 @p995)) % 1.71/1.94 (step @p7220 :rule trans :premises (@p7219 @p7218)) % 1.71/1.94 (step @p7221 :rule ho_cong :premises (@p7207 @p7220)) % 1.71/1.94 (step @p7222 :rule ho_cong :premises (@p7221 @p976)) % 1.71/1.94 (step @p7223 :rule trans :premises (@p7222 @p7213)) % 1.71/1.94 (step @p7224 :rule refl :args (@t2845)) % 1.71/1.94 (step @p7225 :rule refl :args (@t919)) % 1.71/1.94 (step @p7226 :rule cong :premises (@p7225 @p7224) :args ((= @t919 @t2845))) % 1.71/1.94 (step @p7227 :rule symm :premises (@p7226)) % 1.71/1.94 (step @p7228 :rule eq_resolve :premises (@p7225 @p7227)) % 1.71/1.94 (step @p7229 :rule cong :premises (@p7228 @p7223) :args (@t6112)) % 1.71/1.94 (step @p7230 :rule nary_cong :premises (@p1615 @p7229) :args (@t6113)) % 1.71/1.94 (step @p7231 :rule cong :premises (@p7230) :args ((forall @t9 @t6113))) % 1.71/1.94 (step @p7232 :rule trans :premises (@p7231 @p7200)) % 1.71/1.94 (step @p7233 :rule bool-impl-elim :args (@t7 @t6112)) % 1.71/1.94 (step @p7234 :rule cong :premises (@p7233) :args ((forall @t9 (=> @t7 @t6112)))) % 1.71/1.94 (step @p7235 :rule trans :premises (@p7234 @p7232)) % 1.71/1.94 (step @p7236 :rule eq-symm :args (@t1046 @t919)) % 1.71/1.94 (step @p7237 :rule cong :premises (@p1729 @p7236) :args (@t1047)) % 1.71/1.94 (step @p7238 :rule cong :premises (@p7237) :args (@t1048)) % 1.71/1.94 (step @p7239 :rule trans :premises (@p7238 @p7235)) % 1.71/1.94 (step @p7240 :rule refl :args ((tptp.in @t919 @t1))) % 1.71/1.94 (step @p7241 :rule cong :premises (@p7224 @p2930) :args (@t2846)) % 1.71/1.94 (step @p7242 :rule trans :premises (@p7241 @p7240)) % 1.71/1.94 (step @p7243 :rule ho_cong :premises (@p1628 @p7224)) % 1.71/1.94 (step @p7244 :rule ho_cong :premises (@p7243 @p2930)) % 1.71/1.94 (step @p7245 :rule cong :premises (@p7244 @p7242) :args ((= (_ (_ tptp.in @t2845) @t1) @t2846))) % 1.71/1.94 (step @p7246 :rule symm :premises (@p7245)) % 1.71/1.94 (step @p7247 :rule refl :args (@t921)) % 1.71/1.94 (step @p7248 :rule eq_resolve :premises (@p7247 @p7246)) % 1.71/1.94 (step @p7249 :rule ho_cong :premises (@p1628 @p7228)) % 1.71/1.94 (step @p7250 :rule ho_cong :premises (@p7249 @p2930)) % 1.71/1.94 (step @p7251 :rule trans :premises (@p7250 @p7248)) % 1.71/1.94 (step @p7252 :rule nary_cong :premises (@p1615 @p7251) :args (@t6114)) % 1.71/1.94 (step @p7253 :rule cong :premises (@p7252) :args ((forall @t9 @t6114))) % 1.71/1.94 (step @p7254 :rule bool-impl-elim :args (@t7 @t921)) % 1.71/1.94 (step @p7255 :rule cong :premises (@p7254) :args (@t922)) % 1.71/1.94 (step @p7256 :rule trans :premises (@p7255 @p7253)) % 1.71/1.94 (step @p7257 :rule cong :premises (@p7256 @p7239) :args (@t1049)) % 1.71/1.94 (step @p7258 :rule cong :premises (@p7257) :args (@t1050)) % 1.71/1.94 (step @p7259 :rule trans :premises (@p7258 @p7193)) % 1.71/1.94 (step @p7260 :rule cong :premises (@p7259 @p7178) :args ((= @t1050 tptp.beta2))) % 1.71/1.94 (step @p7261 :rule trans :premises (@p7260 @p7177)) % 1.71/1.94 (step @p7262 :rule eq-symm :args (tptp.beta2 @t1050)) % 1.71/1.94 (step @p7263 :rule trans :premises (@p7262 @p7261)) % 1.71/1.94 (step @p7264 :rule eq_resolve :premises (@p215 @p7263)) % 1.71/1.94 (step @p7265 :rule cong :premises (@p7264 @p7176) :args (@t6115)) % 1.71/1.94 (step @p7266 :rule bool-eq-true :args (tptp.lam2lamEq)) % 1.71/1.94 (step @p7267 :rule symm :premises (@p7266)) % 1.71/1.94 (step @p7268 :rule quant-unused-vars :args ((= (forall @t924 true) true))) % 1.71/1.94 (step @p7269 :rule bool-impl-true1 :args (@t2847)) % 1.71/1.94 (step @p7270 :rule eq-refl :args (@t929)) % 1.71/1.94 (step @p7271 :rule cong :premises (@p7256 @p7270) :args (@t1058)) % 1.71/1.94 (step @p7272 :rule trans :premises (@p7271 @p7269)) % 1.71/1.94 (step @p7273 :rule cong :premises (@p7272) :args (@t1059)) % 1.71/1.94 (step @p7274 :rule trans :premises (@p7273 @p7268)) % 1.71/1.94 (step @p7275 :rule refl :args (tptp.lam2lamEq)) % 1.71/1.94 (step @p7276 :rule cong :premises (@p7275 @p7274) :args (@t1060)) % 1.71/1.94 (step @p7277 :rule trans :premises (@p7276 @p7266)) % 1.71/1.94 (step @p7278 :rule eq_resolve :premises (@p214 @p7277)) % 1.71/1.94 (step @p7279 :rule eq_resolve :premises (@p7278 @p7267)) % 1.71/1.94 (step @p7280 :rule cong :premises (@p7279 @p7265) :args (@t6116)) % 1.71/1.94 (step @p7281 :rule refl :args (@t2853)) % 1.71/1.94 (step @p7282 :rule refl :args (@t889)) % 1.71/1.94 (step @p7283 :rule cong :premises (@p7282 @p7281) :args ((= @t889 @t2853))) % 1.71/1.94 (step @p7284 :rule symm :premises (@p7283)) % 1.71/1.94 (step @p7285 :rule eq_resolve :premises (@p7282 @p7284)) % 1.71/1.94 (step @p7286 :rule cong :premises (@p7285) :args (@t6117)) % 1.71/1.94 (step @p7287 :rule nary_cong :premises (@p7286 @p7162) :args (@t6118)) % 1.71/1.94 (step @p7288 :rule cong :premises (@p7287) :args ((forall @t891 @t6118))) % 1.71/1.94 (step @p7289 :rule bool-impl-elim :args (@t889 @t6097)) % 1.71/1.94 (step @p7290 :rule cong :premises (@p7289) :args ((forall @t891 (=> @t889 @t6097)))) % 1.71/1.94 (step @p7291 :rule trans :premises (@p7290 @p7288)) % 1.71/1.94 (step @p7292 :rule refl :args (@t889)) % 1.71/1.94 (step @p7293 :rule cong :premises (@p7292 @p7168) :args (@t1055)) % 1.71/1.94 (step @p7294 :rule cong :premises (@p7293) :args (@t1056)) % 1.71/1.94 (step @p7295 :rule trans :premises (@p7294 @p7291)) % 1.71/1.94 (step @p7296 :rule refl :args (tptp.eta1)) % 1.71/1.94 (step @p7297 :rule cong :premises (@p7296 @p7295) :args (@t1057)) % 1.71/1.94 (step @p7298 :rule eq_resolve :premises (@p213 @p7297)) % 1.71/1.94 (step @p7299 :rule cong :premises (@p7298 @p7280) :args (@t6119)) % 1.71/1.94 (step @p7300 :rule refl :args (tptp.beta1)) % 1.71/1.94 (step @p7301 :rule cong :premises (@p7300 @p7259) :args (@t1051)) % 1.71/1.94 (step @p7302 :rule eq_resolve :premises (@p212 @p7301)) % 1.71/1.94 (step @p7303 :rule cong :premises (@p7302 @p7299) :args (@t6120)) % 1.71/1.94 (step @p7304 :rule bool-eq-true :args (tptp.ap2apEq2)) % 1.71/1.94 (step @p7305 :rule symm :premises (@p7304)) % 1.71/1.94 (step @p7306 :rule quant-unused-vars :args ((= (forall @t891 true) true))) % 1.71/1.94 (step @p7307 :rule bool-impl-true1 :args (@t889)) % 1.71/1.94 (step @p7308 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 1.71/1.94 (step @p7309 :rule bool-impl-true1 :args (@t7)) % 1.71/1.94 (step @p7310 :rule eq-refl :args (@t902)) % 1.71/1.94 (step @p7311 :rule cong :premises (@p1729 @p7310) :args (@t1035)) % 1.71/1.94 (step @p7312 :rule trans :premises (@p7311 @p7309)) % 1.71/1.94 (step @p7313 :rule cong :premises (@p7312) :args (@t1036)) % 1.71/1.94 (step @p7314 :rule trans :premises (@p7313 @p7308)) % 1.71/1.94 (step @p7315 :rule cong :premises (@p7292 @p7314) :args (@t1040)) % 1.71/1.94 (step @p7316 :rule trans :premises (@p7315 @p7307)) % 1.71/1.94 (step @p7317 :rule cong :premises (@p7316) :args (@t1041)) % 1.71/1.94 (step @p7318 :rule trans :premises (@p7317 @p7306)) % 1.71/1.94 (step @p7319 :rule refl :args (tptp.ap2apEq2)) % 1.71/1.94 (step @p7320 :rule cong :premises (@p7319 @p7318) :args (@t1042)) % 1.71/1.94 (step @p7321 :rule trans :premises (@p7320 @p7304)) % 1.71/1.94 (step @p7322 :rule eq_resolve :premises (@p211 @p7321)) % 1.71/1.94 (step @p7323 :rule eq_resolve :premises (@p7322 @p7305)) % 1.71/1.94 (step @p7324 :rule cong :premises (@p7323 @p7303) :args (@t6121)) % 1.71/1.94 (step @p7325 :rule bool-eq-true :args (tptp.ap2apEq1)) % 1.71/1.94 (step @p7326 :rule symm :premises (@p7325)) % 1.71/1.94 (step @p7327 :rule bool-impl-true1 :args (@t910)) % 1.71/1.94 (step @p7328 :rule cong :premises (@p7169 @p7314) :args (@t1037)) % 1.71/1.94 (step @p7329 :rule trans :premises (@p7328 @p7327)) % 1.71/1.94 (step @p7330 :rule cong :premises (@p7329) :args (@t1038)) % 1.71/1.94 (step @p7331 :rule trans :premises (@p7330 @p7306)) % 1.71/1.94 (step @p7332 :rule refl :args (tptp.ap2apEq1)) % 1.71/1.94 (step @p7333 :rule cong :premises (@p7332 @p7331) :args (@t1039)) % 1.71/1.94 (step @p7334 :rule trans :premises (@p7333 @p7325)) % 1.71/1.94 (step @p7335 :rule eq_resolve :premises (@p210 @p7334)) % 1.71/1.94 (step @p7336 :rule eq_resolve :premises (@p7335 @p7326)) % 1.71/1.94 (step @p7337 :rule cong :premises (@p7336 @p7324) :args (@t6122)) % 1.71/1.94 (step @p7338 :rule aci_norm :args ((= @t6124 @t2860))) % 1.71/1.94 (step @p7339 :rule cong :premises (@p7338) :args (@t6125)) % 1.71/1.94 (step @p7340 :rule quant-merge-prenex :args ((= (forall @t891 @t6127) @t6125))) % 1.71/1.94 (step @p7341 :rule alpha_equiv :args (@t6128 (@list @t2856) @t6129)) % 1.71/1.94 (step @p7342 :rule refl :args (@t2194)) % 1.71/1.94 (step @p7343 :rule nary_cong :premises (@p7342 @p7341) :args (@t6130)) % 1.71/1.94 (step @p7344 :rule quant-miniscope-or :args ((= @t6127 @t6130))) % 1.71/1.94 (step @p7345 :rule trans :premises (@p7344 @p7343)) % 1.71/1.94 (step @p7346 :rule symm :premises (@p7345)) % 1.71/1.94 (step @p7347 :rule cong :premises (@p7346) :args ((forall @t891 (or @t2194 @t6135)))) % 1.71/1.94 (step @p7348 :rule trans :premises (@p7347 @p7340)) % 1.71/1.94 (step @p7349 :rule trans :premises (@p7348 @p7339)) % 1.71/1.94 (step @p7350 :rule refl :args (@t6135)) % 1.71/1.94 (step @p7351 :rule nary_cong :premises (@p911 @p7350) :args (@t6136)) % 1.71/1.94 (step @p7352 :rule cong :premises (@p7351) :args ((forall @t891 @t6136))) % 1.71/1.94 (step @p7353 :rule trans :premises (@p7352 @p7349)) % 1.71/1.94 (step @p7354 :rule bool-impl-elim :args (@t910 @t6135)) % 1.71/1.94 (step @p7355 :rule cong :premises (@p7354) :args ((forall @t891 (=> @t910 @t6135)))) % 1.71/1.94 (step @p7356 :rule trans :premises (@p7355 @p7353)) % 1.71/1.94 (step @p7357 :rule refl :args (@t1021)) % 1.71/1.94 (step @p7358 :rule refl :args (@t6133)) % 1.71/1.94 (step @p7359 :rule refl :args ((tptp.in @t974 @t908))) % 1.71/1.94 (step @p7360 :rule refl :args (@t974)) % 1.71/1.94 (step @p7361 :rule cong :premises (@p7360 @p866) :args (@t6134)) % 1.71/1.94 (step @p7362 :rule trans :premises (@p7361 @p7359)) % 1.71/1.94 (step @p7363 :rule refl :args (@t1028)) % 1.71/1.94 (step @p7364 :rule ho_cong :premises (@p7363 @p866)) % 1.71/1.94 (step @p7365 :rule cong :premises (@p7364 @p7362) :args ((= (_ @t1028 @t2168) @t6134))) % 1.71/1.94 (step @p7366 :rule symm :premises (@p7365)) % 1.71/1.94 (step @p7367 :rule refl :args (@t1029)) % 1.71/1.94 (step @p7368 :rule eq_resolve :premises (@p7367 @p7366)) % 1.71/1.94 (step @p7369 :rule ho_cong :premises (@p7363 @p877)) % 1.71/1.94 (step @p7370 :rule trans :premises (@p7369 @p7368)) % 1.71/1.94 (step @p7371 :rule cong :premises (@p7370) :args (@t6137)) % 1.71/1.94 (step @p7372 :rule nary_cong :premises (@p7371 @p7358 @p7357) :args (@t6138)) % 1.71/1.94 (step @p7373 :rule cong :premises (@p7372) :args ((forall @t986 @t6138))) % 1.71/1.94 (step @p7374 :rule aci_norm :args ((= (or @t6137 @t6139) @t6138))) % 1.71/1.94 (step @p7375 :rule bool-impl-elim :args (@t6132 @t1021)) % 1.71/1.94 (step @p7376 :rule refl :args (@t6137)) % 1.71/1.94 (step @p7377 :rule nary_cong :premises (@p7376 @p7375) :args ((or @t6137 @t6140))) % 1.71/1.94 (step @p7378 :rule trans :premises (@p7377 @p7374)) % 1.71/1.94 (step @p7379 :rule bool-impl-elim :args (@t1029 @t6140)) % 1.71/1.94 (step @p7380 :rule trans :premises (@p7379 @p7378)) % 1.71/1.94 (step @p7381 :rule cong :premises (@p7380) :args ((forall @t986 (=> @t1029 @t6140)))) % 1.71/1.94 (step @p7382 :rule trans :premises (@p7381 @p7373)) % 1.71/1.94 (step @p7383 :rule refl :args (@t1021)) % 1.71/1.94 (step @p7384 :rule refl :args (@t6131)) % 1.71/1.94 (step @p7385 :rule refl :args (@t980)) % 1.71/1.94 (step @p7386 :rule cong :premises (@p7385 @p7384) :args ((= @t980 @t6131))) % 1.71/1.94 (step @p7387 :rule symm :premises (@p7386)) % 1.71/1.94 (step @p7388 :rule eq_resolve :premises (@p7385 @p7387)) % 1.71/1.94 (step @p7389 :rule cong :premises (@p7158 @p7388) :args (@t981)) % 1.71/1.94 (step @p7390 :rule nary_cong :premises (@p1615 @p7389) :args (@t6141)) % 1.71/1.94 (step @p7391 :rule cong :premises (@p7390) :args ((forall @t9 @t6141))) % 1.71/1.94 (step @p7392 :rule bool-impl-elim :args (@t7 @t981)) % 1.71/1.94 (step @p7393 :rule cong :premises (@p7392) :args (@t982)) % 1.71/1.94 (step @p7394 :rule trans :premises (@p7393 @p7391)) % 1.71/1.94 (step @p7395 :rule cong :premises (@p7394 @p7383) :args (@t1022)) % 1.71/1.94 (step @p7396 :rule refl :args (@t1029)) % 1.71/1.94 (step @p7397 :rule cong :premises (@p7396 @p7395) :args (@t1030)) % 1.71/1.94 (step @p7398 :rule cong :premises (@p7397) :args (@t1031)) % 1.71/1.94 (step @p7399 :rule trans :premises (@p7398 @p7382)) % 1.71/1.94 (step @p7400 :rule cong :premises (@p7169 @p7399) :args (@t1032)) % 1.71/1.94 (step @p7401 :rule cong :premises (@p7400) :args (@t1033)) % 1.71/1.94 (step @p7402 :rule trans :premises (@p7401 @p7356)) % 1.71/1.94 (step @p7403 :rule refl :args (tptp.funcext2)) % 1.71/1.94 (step @p7404 :rule cong :premises (@p7403 @p7402) :args (@t1034)) % 1.71/1.94 (step @p7405 :rule eq_resolve :premises (@p209 @p7404)) % 1.71/1.94 (step @p7406 :rule cong :premises (@p7405 @p7337) :args (@t6142)) % 1.71/1.94 (step @p7407 :rule aci_norm :args ((= @t6144 @t2867))) % 1.71/1.94 (step @p7408 :rule cong :premises (@p7407) :args (@t6145)) % 1.71/1.94 (step @p7409 :rule quant-merge-prenex :args ((= (forall @t891 @t6147) @t6145))) % 1.71/1.94 (step @p7410 :rule alpha_equiv :args (@t6148 (@list @t2863) @t6129)) % 1.71/1.94 (step @p7411 :rule refl :args (@t2854)) % 1.71/1.94 (step @p7412 :rule nary_cong :premises (@p7411 @p7410) :args (@t6149)) % 1.71/1.94 (step @p7413 :rule quant-miniscope-or :args ((= @t6147 @t6149))) % 1.71/1.94 (step @p7414 :rule trans :premises (@p7413 @p7412)) % 1.71/1.94 (step @p7415 :rule symm :premises (@p7414)) % 1.71/1.94 (step @p7416 :rule cong :premises (@p7415) :args ((forall @t891 (or @t2854 @t6152)))) % 1.71/1.94 (step @p7417 :rule trans :premises (@p7416 @p7409)) % 1.71/1.94 (step @p7418 :rule trans :premises (@p7417 @p7408)) % 1.71/1.94 (step @p7419 :rule refl :args (@t6152)) % 1.71/1.94 (step @p7420 :rule nary_cong :premises (@p7286 @p7419) :args (@t6153)) % 1.71/1.94 (step @p7421 :rule cong :premises (@p7420) :args ((forall @t891 @t6153))) % 1.71/1.94 (step @p7422 :rule trans :premises (@p7421 @p7418)) % 1.71/1.94 (step @p7423 :rule bool-impl-elim :args (@t889 @t6152)) % 1.71/1.94 (step @p7424 :rule cong :premises (@p7423) :args ((forall @t891 (=> @t889 @t6152)))) % 1.71/1.94 (step @p7425 :rule trans :premises (@p7424 @p7422)) % 1.71/1.94 (step @p7426 :rule refl :args (@t6150)) % 1.71/1.94 (step @p7427 :rule refl :args (@t984)) % 1.71/1.94 (step @p7428 :rule cong :premises (@p7427 @p7426) :args ((= @t984 @t6150))) % 1.71/1.94 (step @p7429 :rule symm :premises (@p7428)) % 1.71/1.94 (step @p7430 :rule eq_resolve :premises (@p7427 @p7429)) % 1.71/1.94 (step @p7431 :rule cong :premises (@p7430) :args (@t6154)) % 1.71/1.94 (step @p7432 :rule nary_cong :premises (@p7431 @p7358 @p7357) :args (@t6155)) % 1.71/1.94 (step @p7433 :rule cong :premises (@p7432) :args ((forall @t986 @t6155))) % 1.71/1.94 (step @p7434 :rule aci_norm :args ((= (or @t6154 @t6139) @t6155))) % 1.71/1.94 (step @p7435 :rule refl :args (@t6154)) % 1.71/1.94 (step @p7436 :rule nary_cong :premises (@p7435 @p7375) :args ((or @t6154 @t6140))) % 1.71/1.94 (step @p7437 :rule trans :premises (@p7436 @p7434)) % 1.71/1.94 (step @p7438 :rule bool-impl-elim :args (@t984 @t6140)) % 1.71/1.94 (step @p7439 :rule trans :premises (@p7438 @p7437)) % 1.71/1.94 (step @p7440 :rule cong :premises (@p7439) :args ((forall @t986 (=> @t984 @t6140)))) % 1.71/1.94 (step @p7441 :rule trans :premises (@p7440 @p7433)) % 1.71/1.94 (step @p7442 :rule refl :args (@t984)) % 1.71/1.94 (step @p7443 :rule cong :premises (@p7442 @p7395) :args (@t1023)) % 1.71/1.94 (step @p7444 :rule cong :premises (@p7443) :args (@t1024)) % 1.71/1.94 (step @p7445 :rule trans :premises (@p7444 @p7441)) % 1.71/1.94 (step @p7446 :rule cong :premises (@p7292 @p7445) :args (@t1025)) % 1.71/1.94 (step @p7447 :rule cong :premises (@p7446) :args (@t1026)) % 1.71/1.94 (step @p7448 :rule trans :premises (@p7447 @p7425)) % 1.71/1.94 (step @p7449 :rule refl :args (tptp.funcext)) % 1.71/1.94 (step @p7450 :rule cong :premises (@p7449 @p7448) :args (@t1027)) % 1.71/1.94 (step @p7451 :rule eq_resolve :premises (@p208 @p7450)) % 1.71/1.94 (step @p7452 :rule cong :premises (@p7451 @p7406) :args (@t6156)) % 1.71/1.94 (step @p7453 :rule aci_norm :args ((= @t6158 @t2887))) % 1.71/1.94 (step @p7454 :rule cong :premises (@p7453) :args (@t6159)) % 1.71/1.94 (step @p7455 :rule quant-merge-prenex :args ((= (forall @t951 @t6161) @t6159))) % 1.71/1.94 (step @p7456 :rule alpha_equiv :args (@t6162 (@list @t2870) @t3977)) % 1.71/1.94 (step @p7457 :rule refl :args (@t2886)) % 1.71/1.94 (step @p7458 :rule nary_cong :premises (@p7457 @p7456) :args (@t6163)) % 1.71/1.94 (step @p7459 :rule quant-miniscope-or :args ((= @t6161 @t6163))) % 1.71/1.94 (step @p7460 :rule trans :premises (@p7459 @p7458)) % 1.71/1.94 (step @p7461 :rule symm :premises (@p7460)) % 1.71/1.94 (step @p7462 :rule cong :premises (@p7461) :args ((forall @t951 (or @t2886 @t6174)))) % 1.71/1.94 (step @p7463 :rule trans :premises (@p7462 @p7455)) % 1.71/1.94 (step @p7464 :rule trans :premises (@p7463 @p7454)) % 1.71/1.94 (step @p7465 :rule refl :args (@t6174)) % 1.71/1.94 (step @p7466 :rule refl :args (@t2885)) % 1.71/1.94 (step @p7467 :rule refl :args (@t949)) % 1.71/1.94 (step @p7468 :rule cong :premises (@p7467 @p7466) :args ((= @t949 @t2885))) % 1.71/1.94 (step @p7469 :rule symm :premises (@p7468)) % 1.71/1.94 (step @p7470 :rule eq_resolve :premises (@p7467 @p7469)) % 1.71/1.94 (step @p7471 :rule cong :premises (@p7470) :args (@t6175)) % 1.71/1.94 (step @p7472 :rule nary_cong :premises (@p7471 @p7465) :args (@t6176)) % 1.71/1.94 (step @p7473 :rule cong :premises (@p7472) :args ((forall @t951 @t6176))) % 1.71/1.94 (step @p7474 :rule trans :premises (@p7473 @p7464)) % 1.71/1.94 (step @p7475 :rule bool-impl-elim :args (@t949 @t6174)) % 1.71/1.94 (step @p7476 :rule cong :premises (@p7475) :args ((forall @t951 (=> @t949 @t6174)))) % 1.71/1.94 (step @p7477 :rule trans :premises (@p7476 @p7474)) % 1.71/1.94 (step @p7478 :rule refl :args (@t6167)) % 1.71/1.94 (step @p7479 :rule refl :args (@t6171)) % 1.71/1.94 (step @p7480 :rule refl :args (@t6172)) % 1.71/1.94 (step @p7481 :rule refl :args (@t1002)) % 1.71/1.94 (step @p7482 :rule cong :premises (@p7481 @p7480) :args ((= @t1002 @t6172))) % 1.71/1.94 (step @p7483 :rule symm :premises (@p7482)) % 1.71/1.94 (step @p7484 :rule eq_resolve :premises (@p7481 @p7483)) % 1.71/1.94 (step @p7485 :rule cong :premises (@p7484) :args (@t6177)) % 1.71/1.94 (step @p7486 :rule nary_cong :premises (@p7485 @p7479 @p7478 @p2575) :args (@t6178)) % 1.71/1.94 (step @p7487 :rule cong :premises (@p7486) :args ((forall @t1004 @t6178))) % 1.71/1.94 (step @p7488 :rule aci_norm :args ((= (or @t6177 @t6179) @t6178))) % 1.71/1.94 (step @p7489 :rule aci_norm :args ((= (or @t6171 (or @t6167 @t1009)) @t6179))) % 1.71/1.94 (step @p7490 :rule bool-impl-elim :args (@t6166 @t1009)) % 1.71/1.94 (step @p7491 :rule nary_cong :premises (@p7479 @p7490) :args ((or @t6171 @t6180))) % 1.71/1.94 (step @p7492 :rule trans :premises (@p7491 @p7489)) % 1.71/1.94 (step @p7493 :rule bool-impl-elim :args (@t6170 @t6180)) % 1.71/1.94 (step @p7494 :rule trans :premises (@p7493 @p7492)) % 1.71/1.94 (step @p7495 :rule refl :args (@t6177)) % 1.71/1.94 (step @p7496 :rule nary_cong :premises (@p7495 @p7494) :args ((or @t6177 @t6181))) % 1.71/1.94 (step @p7497 :rule trans :premises (@p7496 @p7488)) % 1.71/1.94 (step @p7498 :rule bool-impl-elim :args (@t1002 @t6181)) % 1.71/1.94 (step @p7499 :rule trans :premises (@p7498 @p7497)) % 1.71/1.94 (step @p7500 :rule cong :premises (@p7499) :args ((forall @t1004 (=> @t1002 @t6181)))) % 1.71/1.94 (step @p7501 :rule trans :premises (@p7500 @p7487)) % 1.71/1.94 (step @p7502 :rule aci_norm :args ((= @t6183 @t6165))) % 1.71/1.94 (step @p7503 :rule cong :premises (@p7502) :args (@t6184)) % 1.71/1.94 (step @p7504 :rule quant-merge-prenex :args ((= (forall @t9 @t6186) @t6184))) % 1.71/1.94 (step @p7505 :rule alpha_equiv :args (@t6187 (@list @t2872) @t3833)) % 1.71/1.94 (step @p7506 :rule nary_cong :premises (@p1601 @p7505) :args (@t6188)) % 1.71/1.94 (step @p7507 :rule quant-miniscope-or :args ((= @t6186 @t6188))) % 1.71/1.94 (step @p7508 :rule trans :premises (@p7507 @p7506)) % 1.71/1.94 (step @p7509 :rule symm :premises (@p7508)) % 1.71/1.94 (step @p7510 :rule cong :premises (@p7509) :args ((forall @t9 (or @t2357 @t6189)))) % 1.71/1.94 (step @p7511 :rule trans :premises (@p7510 @p7504)) % 1.71/1.94 (step @p7512 :rule trans :premises (@p7511 @p7503)) % 1.71/1.94 (step @p7513 :rule refl :args (@t6189)) % 1.71/1.94 (step @p7514 :rule nary_cong :premises (@p1615 @p7513) :args (@t6190)) % 1.71/1.94 (step @p7515 :rule cong :premises (@p7514) :args ((forall @t9 @t6190))) % 1.71/1.94 (step @p7516 :rule trans :premises (@p7515 @p7512)) % 1.71/1.94 (step @p7517 :rule bool-impl-elim :args (@t7 @t6189)) % 1.71/1.94 (step @p7518 :rule cong :premises (@p7517) :args ((forall @t9 (=> @t7 @t6189)))) % 1.71/1.94 (step @p7519 :rule trans :premises (@p7518 @p7516)) % 1.71/1.94 (step @p7520 :rule nary_cong :premises (@p3021 @p1822 @p1706) :args (@t6191)) % 1.71/1.94 (step @p7521 :rule cong :premises (@p7520) :args ((forall @t70 @t6191))) % 1.71/1.94 (step @p7522 :rule aci_norm :args ((= (or @t4584 @t4462) @t6191))) % 1.71/1.94 (step @p7523 :rule refl :args (@t4584)) % 1.71/1.94 (step @p7524 :rule nary_cong :premises (@p7523 @p2616) :args ((or @t4584 @t1010))) % 1.71/1.94 (step @p7525 :rule trans :premises (@p7524 @p7522)) % 1.71/1.94 (step @p7526 :rule bool-impl-elim :args (@t354 @t1010)) % 1.71/1.94 (step @p7527 :rule trans :premises (@p7526 @p7525)) % 1.71/1.94 (step @p7528 :rule cong :premises (@p7527) :args (@t1011)) % 1.71/1.94 (step @p7529 :rule trans :premises (@p7528 @p7521)) % 1.71/1.94 (step @p7530 :rule cong :premises (@p1729 @p7529) :args (@t1012)) % 1.71/1.94 (step @p7531 :rule cong :premises (@p7530) :args (@t1013)) % 1.71/1.94 (step @p7532 :rule trans :premises (@p7531 @p7519)) % 1.71/1.94 (step @p7533 :rule cong :premises (@p7532 @p2594) :args (@t1014)) % 1.71/1.94 (step @p7534 :rule aci_norm :args ((= @t6193 @t6169))) % 1.71/1.94 (step @p7535 :rule cong :premises (@p7534) :args (@t6194)) % 1.71/1.94 (step @p7536 :rule quant-merge-prenex :args ((= (forall @t9 @t6196) @t6194))) % 1.71/1.94 (step @p7537 :rule alpha_equiv :args (@t6197 (@list @t2878) @t3833)) % 1.71/1.94 (step @p7538 :rule nary_cong :premises (@p1601 @p7537) :args (@t6198)) % 1.71/1.94 (step @p7539 :rule quant-miniscope-or :args ((= @t6196 @t6198))) % 1.71/1.94 (step @p7540 :rule trans :premises (@p7539 @p7538)) % 1.71/1.94 (step @p7541 :rule symm :premises (@p7540)) % 1.71/1.94 (step @p7542 :rule cong :premises (@p7541) :args ((forall @t9 (or @t2357 @t6199)))) % 1.71/1.94 (step @p7543 :rule trans :premises (@p7542 @p7536)) % 1.71/1.94 (step @p7544 :rule trans :premises (@p7543 @p7535)) % 1.71/1.94 (step @p7545 :rule refl :args (@t6199)) % 1.71/1.94 (step @p7546 :rule nary_cong :premises (@p1615 @p7545) :args (@t6200)) % 1.71/1.94 (step @p7547 :rule cong :premises (@p7546) :args ((forall @t9 @t6200))) % 1.71/1.94 (step @p7548 :rule trans :premises (@p7547 @p7544)) % 1.71/1.94 (step @p7549 :rule bool-impl-elim :args (@t7 @t6199)) % 1.71/1.94 (step @p7550 :rule cong :premises (@p7549) :args ((forall @t9 (=> @t7 @t6199)))) % 1.71/1.94 (step @p7551 :rule trans :premises (@p7550 @p7548)) % 1.71/1.94 (step @p7552 :rule nary_cong :premises (@p3021 @p1823 @p1695) :args (@t6201)) % 1.71/1.94 (step @p7553 :rule cong :premises (@p7552) :args ((forall @t70 @t6201))) % 1.71/1.94 (step @p7554 :rule aci_norm :args ((= (or @t4584 @t4473) @t6201))) % 1.71/1.94 (step @p7555 :rule nary_cong :premises (@p7523 @p2648) :args ((or @t4584 @t997))) % 1.71/1.94 (step @p7556 :rule trans :premises (@p7555 @p7554)) % 1.71/1.94 (step @p7557 :rule bool-impl-elim :args (@t354 @t997)) % 1.71/1.94 (step @p7558 :rule trans :premises (@p7557 @p7556)) % 1.71/1.94 (step @p7559 :rule cong :premises (@p7558) :args (@t998)) % 1.71/1.94 (step @p7560 :rule trans :premises (@p7559 @p7553)) % 1.71/1.94 (step @p7561 :rule cong :premises (@p1729 @p7560) :args (@t999)) % 1.71/1.94 (step @p7562 :rule cong :premises (@p7561) :args (@t1000)) % 1.71/1.94 (step @p7563 :rule trans :premises (@p7562 @p7551)) % 1.71/1.94 (step @p7564 :rule cong :premises (@p7563 @p7533) :args (@t1015)) % 1.71/1.94 (step @p7565 :rule refl :args (@t1002)) % 1.71/1.94 (step @p7566 :rule cong :premises (@p7565 @p7564) :args (@t1016)) % 1.71/1.94 (step @p7567 :rule cong :premises (@p7566) :args (@t1017)) % 1.71/1.94 (step @p7568 :rule trans :premises (@p7567 @p7501)) % 1.71/1.94 (step @p7569 :rule refl :args (@t949)) % 1.71/1.94 (step @p7570 :rule cong :premises (@p7569 @p7568) :args (@t1018)) % 1.71/1.94 (step @p7571 :rule cong :premises (@p7570) :args (@t1019)) % 1.71/1.94 (step @p7572 :rule trans :premises (@p7571 @p7477)) % 1.71/1.94 (step @p7573 :rule refl :args (tptp.eqbreln)) % 1.71/1.94 (step @p7574 :rule cong :premises (@p7573 @p7572) :args (@t1020)) % 1.71/1.94 (step @p7575 :rule eq_resolve :premises (@p207 @p7574)) % 1.71/1.94 (step @p7576 :rule cong :premises (@p7575 @p7452) :args (@t6202)) % 1.71/1.94 (step @p7577 :rule aci_norm :args ((= @t6204 @t2894))) % 1.71/1.94 (step @p7578 :rule cong :premises (@p7577) :args (@t6205)) % 1.71/1.94 (step @p7579 :rule quant-merge-prenex :args ((= (forall @t951 @t6207) @t6205))) % 1.71/1.94 (step @p7580 :rule alpha_equiv :args (@t6208 (@list @t2890) @t3977)) % 1.71/1.94 (step @p7581 :rule nary_cong :premises (@p7457 @p7580) :args (@t6209)) % 1.71/1.94 (step @p7582 :rule quant-miniscope-or :args ((= @t6207 @t6209))) % 1.71/1.94 (step @p7583 :rule trans :premises (@p7582 @p7581)) % 1.71/1.94 (step @p7584 :rule symm :premises (@p7583)) % 1.71/1.94 (step @p7585 :rule cong :premises (@p7584) :args ((forall @t951 (or @t2886 @t6210)))) % 1.71/1.94 (step @p7586 :rule trans :premises (@p7585 @p7579)) % 1.71/1.94 (step @p7587 :rule trans :premises (@p7586 @p7578)) % 1.71/1.94 (step @p7588 :rule refl :args (@t6210)) % 1.71/1.94 (step @p7589 :rule nary_cong :premises (@p7471 @p7588) :args (@t6211)) % 1.71/1.94 (step @p7590 :rule cong :premises (@p7589) :args ((forall @t951 @t6211))) % 1.71/1.94 (step @p7591 :rule trans :premises (@p7590 @p7587)) % 1.71/1.94 (step @p7592 :rule bool-impl-elim :args (@t949 @t6210)) % 1.71/1.94 (step @p7593 :rule cong :premises (@p7592) :args ((forall @t951 (=> @t949 @t6210)))) % 1.71/1.94 (step @p7594 :rule trans :premises (@p7593 @p7591)) % 1.71/1.94 (step @p7595 :rule nary_cong :premises (@p7485 @p7479 @p2691) :args (@t6212)) % 1.71/1.94 (step @p7596 :rule cong :premises (@p7595) :args ((forall @t1004 @t6212))) % 1.71/1.94 (step @p7597 :rule aci_norm :args ((= (or @t6177 (or @t6171 @t995)) @t6212))) % 1.71/1.94 (step @p7598 :rule bool-impl-elim :args (@t6170 @t995)) % 1.71/1.94 (step @p7599 :rule nary_cong :premises (@p7495 @p7598) :args ((or @t6177 @t6213))) % 1.71/1.94 (step @p7600 :rule trans :premises (@p7599 @p7597)) % 1.71/1.94 (step @p7601 :rule bool-impl-elim :args (@t1002 @t6213)) % 1.71/1.94 (step @p7602 :rule trans :premises (@p7601 @p7600)) % 1.71/1.94 (step @p7603 :rule cong :premises (@p7602) :args ((forall @t1004 (=> @t1002 @t6213)))) % 1.71/1.94 (step @p7604 :rule trans :premises (@p7603 @p7596)) % 1.71/1.94 (step @p7605 :rule cong :premises (@p7563 @p2702) :args (@t1001)) % 1.71/1.94 (step @p7606 :rule cong :premises (@p7565 @p7605) :args (@t1003)) % 1.71/1.94 (step @p7607 :rule cong :premises (@p7606) :args (@t1005)) % 1.71/1.94 (step @p7608 :rule trans :premises (@p7607 @p7604)) % 1.71/1.94 (step @p7609 :rule cong :premises (@p7569 @p7608) :args (@t1006)) % 1.71/1.94 (step @p7610 :rule cong :premises (@p7609) :args (@t1007)) % 1.71/1.94 (step @p7611 :rule trans :premises (@p7610 @p7594)) % 1.71/1.94 (step @p7612 :rule refl :args (tptp.subbreln)) % 1.71/1.94 (step @p7613 :rule cong :premises (@p7612 @p7611) :args (@t1008)) % 1.71/1.94 (step @p7614 :rule eq_resolve :premises (@p206 @p7613)) % 1.71/1.94 (step @p7615 :rule cong :premises (@p7614 @p7576) :args (@t6214)) % 1.71/1.94 (step @p7616 :rule eq-symm :args (@t2898 @t2899)) % 1.71/1.94 (step @p7617 :rule refl :args (@t2900)) % 1.71/1.94 (step @p7618 :rule refl :args (@t2901)) % 1.71/1.94 (step @p7619 :rule refl :args (@t2902)) % 1.71/1.94 (step @p7620 :rule refl :args (@t2194)) % 1.71/1.94 (step @p7621 :rule nary_cong :premises (@p7620 @p7619 @p7618 @p7617 @p7616) :args (@t6216)) % 1.71/1.94 (step @p7622 :rule aci_norm :args ((= @t6218 @t6216))) % 1.71/1.94 (step @p7623 :rule trans :premises (@p7622 @p7621)) % 1.71/1.94 (step @p7624 :rule cong :premises (@p7623) :args (@t6219)) % 1.71/1.94 (step @p7625 :rule quant-merge-prenex :args ((= (forall @t891 @t6221) @t6219))) % 1.71/1.94 (step @p7626 :rule alpha_equiv :args (@t6222 (@list @t2897 @t2899) @t6224)) % 1.71/1.94 (step @p7627 :rule nary_cong :premises (@p7342 @p7626) :args (@t6225)) % 1.71/1.94 (step @p7628 :rule quant-miniscope-or :args ((= @t6221 @t6225))) % 1.71/1.94 (step @p7629 :rule trans :premises (@p7628 @p7627)) % 1.71/1.94 (step @p7630 :rule symm :premises (@p7629)) % 1.71/1.94 (step @p7631 :rule cong :premises (@p7630) :args ((forall @t891 (or @t2194 @t6229)))) % 1.71/1.94 (step @p7632 :rule trans :premises (@p7631 @p7625)) % 1.71/1.94 (step @p7633 :rule trans :premises (@p7632 @p7624)) % 1.71/1.94 (step @p7634 :rule refl :args (@t6229)) % 1.71/1.94 (step @p7635 :rule nary_cong :premises (@p911 @p7634) :args (@t6230)) % 1.71/1.94 (step @p7636 :rule cong :premises (@p7635) :args ((forall @t891 @t6230))) % 1.71/1.94 (step @p7637 :rule trans :premises (@p7636 @p7633)) % 1.71/1.94 (step @p7638 :rule bool-impl-elim :args (@t910 @t6229)) % 1.71/1.94 (step @p7639 :rule cong :premises (@p7638) :args ((forall @t891 (=> @t910 @t6229)))) % 1.71/1.94 (step @p7640 :rule trans :premises (@p7639 @p7637)) % 1.71/1.94 (step @p7641 :rule eq-symm :args (@t6223 @t2837)) % 1.71/1.94 (step @p7642 :rule refl :args (@t6226)) % 1.71/1.94 (step @p7643 :rule refl :args (@t6227)) % 1.71/1.94 (step @p7644 :rule nary_cong :premises (@p4685 @p7643 @p7642 @p7641) :args (@t6232)) % 1.71/1.94 (step @p7645 :rule aci_norm :args ((= @t6234 @t6232))) % 1.71/1.94 (step @p7646 :rule trans :premises (@p7645 @p7644)) % 1.71/1.94 (step @p7647 :rule cong :premises (@p7646) :args (@t6235)) % 1.71/1.94 (step @p7648 :rule quant-merge-prenex :args ((= (forall @t9 @t6237) @t6235))) % 1.71/1.94 (step @p7649 :rule alpha_equiv :args (@t6238 (@list @t6223) @t3833)) % 1.71/1.94 (step @p7650 :rule nary_cong :premises (@p1601 @p7649) :args (@t6239)) % 1.71/1.94 (step @p7651 :rule quant-miniscope-or :args ((= @t6237 @t6239))) % 1.71/1.94 (step @p7652 :rule trans :premises (@p7651 @p7650)) % 1.71/1.94 (step @p7653 :rule symm :premises (@p7652)) % 1.71/1.94 (step @p7654 :rule cong :premises (@p7653) :args ((forall @t9 (or @t2357 @t6241)))) % 1.71/1.94 (step @p7655 :rule trans :premises (@p7654 @p7648)) % 1.71/1.94 (step @p7656 :rule trans :premises (@p7655 @p7647)) % 1.71/1.94 (step @p7657 :rule refl :args (@t6241)) % 1.71/1.94 (step @p7658 :rule nary_cong :premises (@p1615 @p7657) :args (@t6242)) % 1.71/1.94 (step @p7659 :rule cong :premises (@p7658) :args ((forall @t9 @t6242))) % 1.71/1.94 (step @p7660 :rule trans :premises (@p7659 @p7656)) % 1.71/1.94 (step @p7661 :rule bool-impl-elim :args (@t7 @t6241)) % 1.71/1.94 (step @p7662 :rule cong :premises (@p7661) :args ((forall @t9 (=> @t7 @t6241)))) % 1.71/1.94 (step @p7663 :rule trans :premises (@p7662 @p7660)) % 1.71/1.94 (step @p7664 :rule cong :premises (@p1104 @p7158) :args (@t6243)) % 1.71/1.94 (step @p7665 :rule refl :args ((tptp.in @t633 @t882))) % 1.71/1.94 (step @p7666 :rule cong :premises (@p1625 @p840) :args (@t6240)) % 1.71/1.94 (step @p7667 :rule trans :premises (@p7666 @p7665)) % 1.71/1.94 (step @p7668 :rule ho_cong :premises (@p1629 @p840)) % 1.71/1.94 (step @p7669 :rule cong :premises (@p7668 @p7667) :args ((= (_ @t4048 @t882) @t6240))) % 1.71/1.94 (step @p7670 :rule symm :premises (@p7669)) % 1.71/1.94 (step @p7671 :rule refl :args (@t883)) % 1.71/1.94 (step @p7672 :rule eq_resolve :premises (@p7671 @p7670)) % 1.71/1.94 (step @p7673 :rule ho_cong :premises (@p1639 @p840)) % 1.71/1.94 (step @p7674 :rule trans :premises (@p7673 @p7672)) % 1.71/1.94 (step @p7675 :rule cong :premises (@p7674) :args (@t6244)) % 1.71/1.94 (step @p7676 :rule nary_cong :premises (@p3021 @p7675 @p7664) :args (@t6245)) % 1.71/1.94 (step @p7677 :rule cong :premises (@p7676) :args ((forall @t70 @t6245))) % 1.71/1.94 (step @p7678 :rule aci_norm :args ((= (or @t4584 (or @t6244 @t6243)) @t6245))) % 1.71/1.94 (step @p7679 :rule bool-impl-elim :args (@t883 @t6243)) % 1.71/1.94 (step @p7680 :rule nary_cong :premises (@p7523 @p7679) :args ((or @t4584 @t6246))) % 1.71/1.94 (step @p7681 :rule trans :premises (@p7680 @p7678)) % 1.71/1.94 (step @p7682 :rule bool-impl-elim :args (@t354 @t6246)) % 1.71/1.94 (step @p7683 :rule trans :premises (@p7682 @p7681)) % 1.71/1.94 (step @p7684 :rule cong :premises (@p7683) :args ((forall @t70 (=> @t354 @t6246)))) % 1.71/1.94 (step @p7685 :rule trans :premises (@p7684 @p7677)) % 1.71/1.94 (step @p7686 :rule eq-symm :args (@t902 @t19)) % 1.71/1.94 (step @p7687 :rule refl :args (@t883)) % 1.71/1.94 (step @p7688 :rule cong :premises (@p7687 @p7686) :args (@t966)) % 1.71/1.94 (step @p7689 :rule refl :args (@t354)) % 1.71/1.94 (step @p7690 :rule cong :premises (@p7689 @p7688) :args (@t967)) % 1.71/1.94 (step @p7691 :rule cong :premises (@p7690) :args (@t968)) % 1.71/1.94 (step @p7692 :rule trans :premises (@p7691 @p7685)) % 1.71/1.94 (step @p7693 :rule cong :premises (@p1729 @p7692) :args (@t969)) % 1.71/1.94 (step @p7694 :rule cong :premises (@p7693) :args (@t970)) % 1.71/1.94 (step @p7695 :rule trans :premises (@p7694 @p7663)) % 1.71/1.94 (step @p7696 :rule cong :premises (@p7169 @p7695) :args (@t991)) % 1.71/1.94 (step @p7697 :rule cong :premises (@p7696) :args (@t992)) % 1.71/1.94 (step @p7698 :rule trans :premises (@p7697 @p7640)) % 1.71/1.94 (step @p7699 :rule refl :args (tptp.funcGraphProp4)) % 1.71/1.94 (step @p7700 :rule cong :premises (@p7699 @p7698) :args (@t993)) % 1.71/1.94 (step @p7701 :rule eq_resolve :premises (@p205 @p7700)) % 1.71/1.94 (step @p7702 :rule cong :premises (@p7701 @p7615) :args (@t6247)) % 1.71/1.94 (step @p7703 :rule aci_norm :args ((= @t6249 @t2915))) % 1.71/1.94 (step @p7704 :rule cong :premises (@p7703) :args (@t6250)) % 1.71/1.94 (step @p7705 :rule quant-merge-prenex :args ((= (forall @t891 @t6252) @t6250))) % 1.71/1.94 (step @p7706 :rule alpha_equiv :args (@t6253 (@list @t2909 @t2906 @t2905) (@list @t974 @t6255 @t6254))) % 1.71/1.94 (step @p7707 :rule nary_cong :premises (@p7411 @p7706) :args (@t6256)) % 1.71/1.94 (step @p7708 :rule quant-miniscope-or :args ((= @t6252 @t6256))) % 1.71/1.94 (step @p7709 :rule trans :premises (@p7708 @p7707)) % 1.71/1.94 (step @p7710 :rule symm :premises (@p7709)) % 1.71/1.94 (step @p7711 :rule cong :premises (@p7710) :args ((forall @t891 (or @t2854 @t6264)))) % 1.71/1.94 (step @p7712 :rule trans :premises (@p7711 @p7705)) % 1.71/1.94 (step @p7713 :rule trans :premises (@p7712 @p7704)) % 1.71/1.94 (step @p7714 :rule refl :args (@t6264)) % 1.71/1.94 (step @p7715 :rule nary_cong :premises (@p7286 @p7714) :args (@t6265)) % 1.71/1.94 (step @p7716 :rule cong :premises (@p7715) :args ((forall @t891 @t6265))) % 1.71/1.94 (step @p7717 :rule trans :premises (@p7716 @p7713)) % 1.71/1.94 (step @p7718 :rule bool-impl-elim :args (@t889 @t6264)) % 1.71/1.94 (step @p7719 :rule cong :premises (@p7718) :args ((forall @t891 (=> @t889 @t6264)))) % 1.71/1.94 (step @p7720 :rule trans :premises (@p7719 @p7717)) % 1.71/1.94 (step @p7721 :rule aci_norm :args ((= @t6267 @t6262))) % 1.71/1.94 (step @p7722 :rule cong :premises (@p7721) :args (@t6268)) % 1.71/1.94 (step @p7723 :rule quant-merge-prenex :args ((= (forall @t986 @t6270) @t6268))) % 1.71/1.94 (step @p7724 :rule alpha_equiv :args (@t6271 (@list @t6255 @t6254) (@list @t4 @t6272))) % 1.71/1.94 (step @p7725 :rule refl :args (@t6151)) % 1.71/1.94 (step @p7726 :rule nary_cong :premises (@p7725 @p7358 @p7724) :args (@t6273)) % 1.71/1.94 (step @p7727 :rule quant-miniscope-or :args ((= @t6270 @t6273))) % 1.71/1.94 (step @p7728 :rule trans :premises (@p7727 @p7726)) % 1.71/1.94 (step @p7729 :rule symm :premises (@p7728)) % 1.71/1.94 (step @p7730 :rule cong :premises (@p7729) :args ((forall @t986 (or @t6151 @t6133 @t6280)))) % 1.71/1.94 (step @p7731 :rule trans :premises (@p7730 @p7723)) % 1.71/1.94 (step @p7732 :rule trans :premises (@p7731 @p7722)) % 1.71/1.94 (step @p7733 :rule refl :args (@t6280)) % 1.71/1.94 (step @p7734 :rule nary_cong :premises (@p7431 @p7358 @p7733) :args (@t6281)) % 1.71/1.94 (step @p7735 :rule cong :premises (@p7734) :args ((forall @t986 @t6281))) % 1.71/1.94 (step @p7736 :rule trans :premises (@p7735 @p7732)) % 1.71/1.94 (step @p7737 :rule aci_norm :args ((= (or @t6154 (or @t6133 @t6280)) @t6281))) % 1.71/1.94 (step @p7738 :rule bool-impl-elim :args (@t6132 @t6280)) % 1.71/1.94 (step @p7739 :rule nary_cong :premises (@p7435 @p7738) :args ((or @t6154 @t6282))) % 1.71/1.94 (step @p7740 :rule trans :premises (@p7739 @p7737)) % 1.71/1.94 (step @p7741 :rule bool-impl-elim :args (@t984 @t6282)) % 1.71/1.94 (step @p7742 :rule trans :premises (@p7741 @p7740)) % 1.71/1.94 (step @p7743 :rule cong :premises (@p7742) :args ((forall @t986 (=> @t984 @t6282)))) % 1.71/1.94 (step @p7744 :rule trans :premises (@p7743 @p7736)) % 1.71/1.94 (step @p7745 :rule aci_norm :args ((= @t6284 @t6278))) % 1.71/1.94 (step @p7746 :rule cong :premises (@p7745) :args (@t6285)) % 1.71/1.94 (step @p7747 :rule quant-merge-prenex :args ((= (forall @t9 @t6287) @t6285))) % 1.71/1.94 (step @p7748 :rule alpha_equiv :args (@t6288 (@list @t6272) @t3833)) % 1.71/1.94 (step @p7749 :rule nary_cong :premises (@p1601 @p7748) :args (@t6289)) % 1.71/1.94 (step @p7750 :rule quant-miniscope-or :args ((= @t6287 @t6289))) % 1.71/1.94 (step @p7751 :rule trans :premises (@p7750 @p7749)) % 1.71/1.94 (step @p7752 :rule symm :premises (@p7751)) % 1.71/1.94 (step @p7753 :rule cong :premises (@p7752) :args ((forall @t9 (or @t2357 @t6291)))) % 1.71/1.94 (step @p7754 :rule trans :premises (@p7753 @p7747)) % 1.71/1.94 (step @p7755 :rule trans :premises (@p7754 @p7746)) % 1.71/1.94 (step @p7756 :rule refl :args (@t6291)) % 1.71/1.94 (step @p7757 :rule nary_cong :premises (@p1615 @p7756) :args (@t6292)) % 1.71/1.94 (step @p7758 :rule cong :premises (@p7757) :args ((forall @t9 @t6292))) % 1.71/1.94 (step @p7759 :rule trans :premises (@p7758 @p7755)) % 1.71/1.94 (step @p7760 :rule bool-impl-elim :args (@t7 @t6291)) % 1.71/1.94 (step @p7761 :rule cong :premises (@p7760) :args ((forall @t9 (=> @t7 @t6291)))) % 1.71/1.94 (step @p7762 :rule trans :premises (@p7761 @p7759)) % 1.71/1.94 (step @p7763 :rule refl :args ((tptp.in @t633 @t974))) % 1.71/1.94 (step @p7764 :rule cong :premises (@p1625 @p7360) :args (@t6290)) % 1.71/1.94 (step @p7765 :rule trans :premises (@p7764 @p7763)) % 1.71/1.94 (step @p7766 :rule ho_cong :premises (@p1629 @p7360)) % 1.71/1.94 (step @p7767 :rule cong :premises (@p7766 @p7765) :args ((= (_ @t4048 @t974) @t6290))) % 1.71/1.94 (step @p7768 :rule symm :premises (@p7767)) % 1.71/1.94 (step @p7769 :rule refl :args (@t975)) % 1.71/1.94 (step @p7770 :rule eq_resolve :premises (@p7769 @p7768)) % 1.71/1.94 (step @p7771 :rule ho_cong :premises (@p1639 @p7360)) % 1.71/1.94 (step @p7772 :rule trans :premises (@p7771 @p7770)) % 1.71/1.94 (step @p7773 :rule cong :premises (@p7772) :args (@t6293)) % 1.71/1.94 (step @p7774 :rule nary_cong :premises (@p3021 @p7773 @p7674) :args (@t6294)) % 1.71/1.94 (step @p7775 :rule cong :premises (@p7774) :args ((forall @t70 @t6294))) % 1.71/1.94 (step @p7776 :rule aci_norm :args ((= (or @t4584 (or @t6293 @t883)) @t6294))) % 1.71/1.94 (step @p7777 :rule bool-impl-elim :args (@t975 @t883)) % 1.71/1.94 (step @p7778 :rule nary_cong :premises (@p7523 @p7777) :args ((or @t4584 @t976))) % 1.71/1.94 (step @p7779 :rule trans :premises (@p7778 @p7776)) % 1.71/1.94 (step @p7780 :rule bool-impl-elim :args (@t354 @t976)) % 1.71/1.94 (step @p7781 :rule trans :premises (@p7780 @p7779)) % 1.71/1.94 (step @p7782 :rule cong :premises (@p7781) :args (@t977)) % 1.71/1.94 (step @p7783 :rule trans :premises (@p7782 @p7775)) % 1.71/1.94 (step @p7784 :rule cong :premises (@p1729 @p7783) :args (@t978)) % 1.71/1.94 (step @p7785 :rule cong :premises (@p7784) :args (@t979)) % 1.71/1.94 (step @p7786 :rule trans :premises (@p7785 @p7762)) % 1.71/1.94 (step @p7787 :rule cong :premises (@p7394 @p7786) :args (@t983)) % 1.71/1.94 (step @p7788 :rule cong :premises (@p7442 @p7787) :args (@t985)) % 1.71/1.94 (step @p7789 :rule cong :premises (@p7788) :args (@t987)) % 1.71/1.94 (step @p7790 :rule trans :premises (@p7789 @p7744)) % 1.71/1.94 (step @p7791 :rule cong :premises (@p7292 @p7790) :args (@t988)) % 1.71/1.94 (step @p7792 :rule cong :premises (@p7791) :args (@t989)) % 1.71/1.94 (step @p7793 :rule trans :premises (@p7792 @p7720)) % 1.71/1.94 (step @p7794 :rule refl :args (tptp.funcextLem)) % 1.71/1.94 (step @p7795 :rule cong :premises (@p7794 @p7793) :args (@t990)) % 1.71/1.94 (step @p7796 :rule eq_resolve :premises (@p204 @p7795)) % 1.71/1.94 (step @p7797 :rule cong :premises (@p7796 @p7702) :args (@t6295)) % 1.71/1.94 (step @p7798 :rule eq-symm :args (@t2919 @t2920)) % 1.71/1.94 (step @p7799 :rule refl :args (@t2921)) % 1.71/1.94 (step @p7800 :rule refl :args (@t2922)) % 1.71/1.94 (step @p7801 :rule refl :args (@t2923)) % 1.71/1.94 (step @p7802 :rule refl :args (@t2854)) % 1.71/1.94 (step @p7803 :rule nary_cong :premises (@p7802 @p7801 @p7800 @p7799 @p7798) :args (@t6297)) % 1.71/1.94 (step @p7804 :rule aci_norm :args ((= @t6299 @t6297))) % 1.71/1.94 (step @p7805 :rule trans :premises (@p7804 @p7803)) % 1.71/1.94 (step @p7806 :rule cong :premises (@p7805) :args (@t6300)) % 1.71/1.94 (step @p7807 :rule quant-merge-prenex :args ((= (forall @t891 @t6302) @t6300))) % 1.71/1.94 (step @p7808 :rule alpha_equiv :args (@t6303 (@list @t2918 @t2920) @t6224)) % 1.71/1.94 (step @p7809 :rule nary_cong :premises (@p7411 @p7808) :args (@t6304)) % 1.71/1.94 (step @p7810 :rule quant-miniscope-or :args ((= @t6302 @t6304))) % 1.71/1.94 (step @p7811 :rule trans :premises (@p7810 @p7809)) % 1.71/1.94 (step @p7812 :rule symm :premises (@p7811)) % 1.71/1.94 (step @p7813 :rule cong :premises (@p7812) :args ((forall @t891 (or @t2854 @t6229)))) % 1.71/1.94 (step @p7814 :rule trans :premises (@p7813 @p7807)) % 1.71/1.94 (step @p7815 :rule trans :premises (@p7814 @p7806)) % 1.71/1.94 (step @p7816 :rule nary_cong :premises (@p7286 @p7634) :args (@t6305)) % 1.71/1.94 (step @p7817 :rule cong :premises (@p7816) :args ((forall @t891 @t6305))) % 1.71/1.94 (step @p7818 :rule trans :premises (@p7817 @p7815)) % 1.71/1.94 (step @p7819 :rule bool-impl-elim :args (@t889 @t6229)) % 1.71/1.94 (step @p7820 :rule cong :premises (@p7819) :args ((forall @t891 (=> @t889 @t6229)))) % 1.71/1.94 (step @p7821 :rule trans :premises (@p7820 @p7818)) % 1.71/1.94 (step @p7822 :rule cong :premises (@p7292 @p7695) :args (@t971)) % 1.71/1.94 (step @p7823 :rule cong :premises (@p7822) :args (@t972)) % 1.71/1.94 (step @p7824 :rule trans :premises (@p7823 @p7821)) % 1.71/1.94 (step @p7825 :rule refl :args (tptp.funcGraphProp2)) % 1.71/1.94 (step @p7826 :rule cong :premises (@p7825 @p7824) :args (@t973)) % 1.71/1.94 (step @p7827 :rule eq_resolve :premises (@p203 @p7826)) % 1.71/1.94 (step @p7828 :rule cong :premises (@p7827 @p7797) :args (@t6306)) % 1.71/1.94 (step @p7829 :rule aci_norm :args ((= @t6308 @t2929))) % 1.71/1.94 (step @p7830 :rule cong :premises (@p7829) :args (@t6309)) % 1.71/1.94 (step @p7831 :rule quant-merge-prenex :args ((= (forall @t891 @t6311) @t6309))) % 1.71/1.94 (step @p7832 :rule alpha_equiv :args (@t6312 (@list @t2926) @t3867)) % 1.71/1.94 (step @p7833 :rule nary_cong :premises (@p7342 @p7832) :args (@t6313)) % 1.71/1.94 (step @p7834 :rule quant-miniscope-or :args ((= @t6311 @t6313))) % 1.71/1.94 (step @p7835 :rule trans :premises (@p7834 @p7833)) % 1.71/1.94 (step @p7836 :rule symm :premises (@p7835)) % 1.71/1.94 (step @p7837 :rule cong :premises (@p7836) :args ((forall @t891 (or @t2194 @t6316)))) % 1.71/1.94 (step @p7838 :rule trans :premises (@p7837 @p7831)) % 1.71/1.94 (step @p7839 :rule trans :premises (@p7838 @p7830)) % 1.71/1.94 (step @p7840 :rule refl :args (@t6316)) % 1.71/1.94 (step @p7841 :rule nary_cong :premises (@p911 @p7840) :args (@t6317)) % 1.71/1.94 (step @p7842 :rule cong :premises (@p7841) :args ((forall @t891 @t6317))) % 1.71/1.94 (step @p7843 :rule trans :premises (@p7842 @p7839)) % 1.71/1.94 (step @p7844 :rule bool-impl-elim :args (@t910 @t6316)) % 1.71/1.94 (step @p7845 :rule cong :premises (@p7844) :args ((forall @t891 (=> @t910 @t6316)))) % 1.71/1.94 (step @p7846 :rule trans :premises (@p7845 @p7843)) % 1.71/1.94 (step @p7847 :rule refl :args ((tptp.in @t957 @t882))) % 1.71/1.94 (step @p7848 :rule refl :args ((tptp.kpair @t4 @t902))) % 1.71/1.94 (step @p7849 :rule cong :premises (@p976 @p7145) :args (@t6314)) % 1.71/1.94 (step @p7850 :rule trans :premises (@p7849 @p7848)) % 1.71/1.94 (step @p7851 :rule cong :premises (@p7850 @p840) :args (@t6315)) % 1.71/1.94 (step @p7852 :rule trans :premises (@p7851 @p7847)) % 1.71/1.94 (step @p7853 :rule ho_cong :premises (@p1628 @p7850)) % 1.71/1.94 (step @p7854 :rule ho_cong :premises (@p7853 @p840)) % 1.71/1.94 (step @p7855 :rule cong :premises (@p7854 @p7852) :args ((= (_ (_ tptp.in @t6314) @t882) @t6315))) % 1.71/1.94 (step @p7856 :rule symm :premises (@p7855)) % 1.71/1.94 (step @p7857 :rule refl :args (@t958)) % 1.71/1.94 (step @p7858 :rule eq_resolve :premises (@p7857 @p7856)) % 1.71/1.94 (step @p7859 :rule refl :args (@t632)) % 1.71/1.94 (step @p7860 :rule ho_cong :premises (@p7859 @p7145)) % 1.71/1.94 (step @p7861 :rule cong :premises (@p7860 @p7850) :args ((= (_ @t632 @t2837) @t6314))) % 1.71/1.94 (step @p7862 :rule symm :premises (@p7861)) % 1.71/1.94 (step @p7863 :rule refl :args (@t957)) % 1.71/1.94 (step @p7864 :rule eq_resolve :premises (@p7863 @p7862)) % 1.71/1.94 (step @p7865 :rule ho_cong :premises (@p7859 @p7158)) % 1.71/1.94 (step @p7866 :rule trans :premises (@p7865 @p7864)) % 1.71/1.94 (step @p7867 :rule ho_cong :premises (@p1628 @p7866)) % 1.71/1.94 (step @p7868 :rule ho_cong :premises (@p7867 @p840)) % 1.71/1.94 (step @p7869 :rule trans :premises (@p7868 @p7858)) % 1.71/1.94 (step @p7870 :rule nary_cong :premises (@p1615 @p7869) :args (@t6318)) % 1.71/1.94 (step @p7871 :rule cong :premises (@p7870) :args ((forall @t9 @t6318))) % 1.71/1.94 (step @p7872 :rule bool-impl-elim :args (@t7 @t958)) % 1.71/1.94 (step @p7873 :rule cong :premises (@p7872) :args (@t959)) % 1.71/1.94 (step @p7874 :rule trans :premises (@p7873 @p7871)) % 1.71/1.94 (step @p7875 :rule cong :premises (@p7169 @p7874) :args (@t963)) % 1.71/1.94 (step @p7876 :rule cong :premises (@p7875) :args (@t964)) % 1.71/1.94 (step @p7877 :rule trans :premises (@p7876 @p7846)) % 1.71/1.94 (step @p7878 :rule refl :args (tptp.funcGraphProp3)) % 1.71/1.94 (step @p7879 :rule cong :premises (@p7878 @p7877) :args (@t965)) % 1.71/1.94 (step @p7880 :rule eq_resolve :premises (@p202 @p7879)) % 1.71/1.94 (step @p7881 :rule cong :premises (@p7880 @p7828) :args (@t6319)) % 1.71/1.94 (step @p7882 :rule aci_norm :args ((= @t6321 @t2935))) % 1.71/1.94 (step @p7883 :rule cong :premises (@p7882) :args (@t6322)) % 1.71/1.94 (step @p7884 :rule quant-merge-prenex :args ((= (forall @t891 @t6324) @t6322))) % 1.71/1.94 (step @p7885 :rule alpha_equiv :args (@t6325 (@list @t2932) @t3867)) % 1.71/1.94 (step @p7886 :rule nary_cong :premises (@p7411 @p7885) :args (@t6326)) % 1.71/1.94 (step @p7887 :rule quant-miniscope-or :args ((= @t6324 @t6326))) % 1.71/1.94 (step @p7888 :rule trans :premises (@p7887 @p7886)) % 1.71/1.94 (step @p7889 :rule symm :premises (@p7888)) % 1.71/1.94 (step @p7890 :rule cong :premises (@p7889) :args ((forall @t891 (or @t2854 @t6316)))) % 1.71/1.94 (step @p7891 :rule trans :premises (@p7890 @p7884)) % 1.71/1.94 (step @p7892 :rule trans :premises (@p7891 @p7883)) % 1.71/1.94 (step @p7893 :rule nary_cong :premises (@p7286 @p7840) :args (@t6327)) % 1.71/1.94 (step @p7894 :rule cong :premises (@p7893) :args ((forall @t891 @t6327))) % 1.71/1.94 (step @p7895 :rule trans :premises (@p7894 @p7892)) % 1.71/1.94 (step @p7896 :rule bool-impl-elim :args (@t889 @t6316)) % 1.71/1.94 (step @p7897 :rule cong :premises (@p7896) :args ((forall @t891 (=> @t889 @t6316)))) % 1.71/1.94 (step @p7898 :rule trans :premises (@p7897 @p7895)) % 1.71/1.94 (step @p7899 :rule cong :premises (@p7292 @p7874) :args (@t960)) % 1.71/1.94 (step @p7900 :rule cong :premises (@p7899) :args (@t961)) % 1.71/1.94 (step @p7901 :rule trans :premises (@p7900 @p7898)) % 1.71/1.94 (step @p7902 :rule refl :args (tptp.funcGraphProp1)) % 1.71/1.94 (step @p7903 :rule cong :premises (@p7902 @p7901) :args (@t962)) % 1.71/1.94 (step @p7904 :rule eq_resolve :premises (@p201 @p7903)) % 1.71/1.94 (step @p7905 :rule cong :premises (@p7904 @p7881) :args (@t6328)) % 1.71/1.94 (step @p7906 :rule aci_norm :args ((= @t6330 @t2947))) % 1.71/1.94 (step @p7907 :rule cong :premises (@p7906) :args (@t6331)) % 1.71/1.94 (step @p7908 :rule quant-merge-prenex :args ((= (forall @t311 @t6333) @t6331))) % 1.71/1.94 (step @p7909 :rule alpha_equiv :args (@t6334 (@list @t2939 @t2938) (@list @t4 @t3102))) % 1.71/1.94 (step @p7910 :rule refl :args (@t2946)) % 1.71/1.94 (step @p7911 :rule nary_cong :premises (@p7910 @p7909) :args (@t6335)) % 1.71/1.94 (step @p7912 :rule quant-miniscope-or :args ((= @t6333 @t6335))) % 1.71/1.94 (step @p7913 :rule trans :premises (@p7912 @p7911)) % 1.71/1.94 (step @p7914 :rule symm :premises (@p7913)) % 1.71/1.94 (step @p7915 :rule cong :premises (@p7914) :args ((forall @t311 (or @t2946 @t3110)))) % 1.71/1.94 (step @p7916 :rule trans :premises (@p7915 @p7908)) % 1.71/1.94 (step @p7917 :rule trans :premises (@p7916 @p7907)) % 1.71/1.94 (step @p7918 :rule refl :args (@t3110)) % 1.71/1.94 (step @p7919 :rule lambda-elim :args ((= @t6336 @t143))) % 1.71/1.94 (step @p7920 :rule cong :premises (@p961 @p7919) :args (@t6337)) % 1.71/1.94 (step @p7921 :rule cong :premises (@p7920) :args (@t6338)) % 1.71/1.94 (step @p7922 :rule nary_cong :premises (@p7921 @p7918) :args (@t6339)) % 1.71/1.94 (step @p7923 :rule cong :premises (@p7922) :args ((forall @t311 @t6339))) % 1.71/1.94 (step @p7924 :rule trans :premises (@p7923 @p7917)) % 1.71/1.94 (step @p7925 :rule refl :args (@t3110)) % 1.71/1.94 (step @p7926 :rule refl :args ((tptp.ex1 @t2 @t145))) % 1.71/1.94 (step @p7927 :rule cong :premises (@p1163) :args (@t6336)) % 1.71/1.94 (step @p7928 :rule cong :premises (@p973 @p7927) :args (@t6337)) % 1.71/1.94 (step @p7929 :rule trans :premises (@p7928 @p7926)) % 1.71/1.94 (step @p7930 :rule refl :args (@t724)) % 1.71/1.94 (step @p7931 :rule ho_cong :premises (@p7930 @p7927)) % 1.71/1.94 (step @p7932 :rule cong :premises (@p7931 @p7929) :args ((= (_ @t724 @t6336) @t6337))) % 1.71/1.94 (step @p7933 :rule symm :premises (@p7932)) % 1.71/1.94 (step @p7934 :rule refl :args (@t725)) % 1.71/1.94 (step @p7935 :rule eq_resolve :premises (@p7934 @p7933)) % 1.71/1.94 (step @p7936 :rule cong :premises (@p1167) :args (@t145)) % 1.71/1.94 (step @p7937 :rule ho_cong :premises (@p7930 @p7936)) % 1.71/1.94 (step @p7938 :rule trans :premises (@p7937 @p7935)) % 1.71/1.94 (step @p7939 :rule cong :premises (@p7938) :args (@t6340)) % 1.71/1.94 (step @p7940 :rule nary_cong :premises (@p7939 @p7925) :args (@t6341)) % 1.71/1.94 (step @p7941 :rule cong :premises (@p7940) :args ((forall @t311 @t6341))) % 1.71/1.94 (step @p7942 :rule trans :premises (@p7941 @p7924)) % 1.71/1.94 (step @p7943 :rule bool-impl-elim :args (@t725 @t3110)) % 1.71/1.94 (step @p7944 :rule cong :premises (@p7943) :args ((forall @t311 (=> @t725 @t3110)))) % 1.71/1.94 (step @p7945 :rule trans :premises (@p7944 @p7942)) % 1.71/1.94 (step @p7946 :rule aci_norm :args ((= @t6343 @t3108))) % 1.71/1.94 (step @p7947 :rule cong :premises (@p7946) :args (@t6344)) % 1.71/1.94 (step @p7948 :rule quant-merge-prenex :args ((= (forall @t9 @t6346) @t6344))) % 1.71/1.94 (step @p7949 :rule alpha_equiv :args (@t6347 (@list @t3102) @t3833)) % 1.71/1.94 (step @p7950 :rule refl :args (@t3107)) % 1.71/1.94 (step @p7951 :rule nary_cong :premises (@p1601 @p7950 @p7949) :args (@t6348)) % 1.71/1.94 (step @p7952 :rule quant-miniscope-or :args ((= @t6346 @t6348))) % 1.71/1.94 (step @p7953 :rule trans :premises (@p7952 @p7951)) % 1.71/1.94 (step @p7954 :rule symm :premises (@p7953)) % 1.71/1.94 (step @p7955 :rule cong :premises (@p7954) :args ((forall @t9 (or @t2357 @t3107 @t3117)))) % 1.71/1.94 (step @p7956 :rule trans :premises (@p7955 @p7948)) % 1.71/1.94 (step @p7957 :rule trans :premises (@p7956 @p7947)) % 1.71/1.94 (step @p7958 :rule refl :args (@t3117)) % 1.71/1.94 (step @p7959 :rule nary_cong :premises (@p1615 @p1168 @p7958) :args (@t6349)) % 1.71/1.94 (step @p7960 :rule cong :premises (@p7959) :args ((forall @t9 @t6349))) % 1.71/1.94 (step @p7961 :rule trans :premises (@p7960 @p7957)) % 1.71/1.94 (step @p7962 :rule aci_norm :args ((= (or @t197 @t6350) @t6349))) % 1.71/1.94 (step @p7963 :rule bool-impl-elim :args (@t7 @t6350)) % 1.71/1.94 (step @p7964 :rule trans :premises (@p7963 @p7962)) % 1.71/1.94 (step @p7965 :rule cong :premises (@p7964) :args ((forall @t9 (=> @t7 @t6350)))) % 1.71/1.94 (step @p7966 :rule trans :premises (@p7965 @p7961)) % 1.71/1.94 (step @p7967 :rule nary_cong :premises (@p1018 @p1182 @p1090) :args (@t6351)) % 1.71/1.94 (step @p7968 :rule cong :premises (@p7967) :args (@t6352)) % 1.71/1.94 (step @p7969 :rule refl :args (@t317)) % 1.71/1.94 (step @p7970 :rule nary_cong :premises (@p7969 @p7968) :args (@t6353)) % 1.71/1.94 (step @p7971 :rule quant-miniscope-or :args ((= (forall @t70 @t6354) @t6353))) % 1.71/1.94 (step @p7972 :rule aci_norm :args ((= @t6355 @t6354))) % 1.71/1.94 (step @p7973 :rule cong :premises (@p7972) :args ((forall @t70 @t6355))) % 1.71/1.94 (step @p7974 :rule trans :premises (@p7973 @p7971)) % 1.71/1.94 (step @p7975 :rule trans :premises (@p7974 @p7970)) % 1.71/1.94 (step @p7976 :rule aci_norm :args ((= (or @t3841 @t6356) @t6355))) % 1.71/1.94 (step @p7977 :rule aci_norm :args ((= (or @t317 @t3896) @t6356))) % 1.71/1.94 (step @p7978 :rule refl :args (@t317)) % 1.71/1.94 (step @p7979 :rule nary_cong :premises (@p7978 @p1185) :args ((or @t317 @t166))) % 1.71/1.94 (step @p7980 :rule trans :premises (@p7979 @p7977)) % 1.71/1.94 (step @p7981 :rule bool-impl-elim :args (@t144 @t166)) % 1.71/1.94 (step @p7982 :rule trans :premises (@p7981 @p7980)) % 1.71/1.94 (step @p7983 :rule nary_cong :premises (@p1649 @p7982) :args ((or @t3841 @t345))) % 1.71/1.94 (step @p7984 :rule trans :premises (@p7983 @p7976)) % 1.71/1.94 (step @p7985 :rule bool-impl-elim :args (@t21 @t345)) % 1.71/1.94 (step @p7986 :rule trans :premises (@p7985 @p7984)) % 1.71/1.94 (step @p7987 :rule cong :premises (@p7986) :args (@t718)) % 1.71/1.94 (step @p7988 :rule trans :premises (@p7987 @p7975)) % 1.71/1.94 (step @p7989 :rule cong :premises (@p1729 @p7988) :args (@t719)) % 1.71/1.94 (step @p7990 :rule cong :premises (@p7989) :args (@t720)) % 1.71/1.94 (step @p7991 :rule trans :premises (@p7990 @p7966)) % 1.71/1.94 (step @p7992 :rule refl :args (@t725)) % 1.71/1.94 (step @p7993 :rule cong :premises (@p7992 @p7991) :args (@t954)) % 1.71/1.94 (step @p7994 :rule cong :premises (@p7993) :args (@t955)) % 1.71/1.94 (step @p7995 :rule trans :premises (@p7994 @p7945)) % 1.71/1.94 (step @p7996 :rule refl :args (tptp.ex1E2)) % 1.71/1.94 (step @p7997 :rule cong :premises (@p7996 @p7995) :args (@t956)) % 1.71/1.94 (step @p7998 :rule eq_resolve :premises (@p200 @p7997)) % 1.71/1.94 (step @p7999 :rule cong :premises (@p7998 @p7905) :args (@t6357)) % 1.71/1.94 (step @p8000 :rule eq-symm :args (@t2962 tptp.brelnall2)) % 1.71/1.94 (step @p8001 :rule refl :args (tptp.brelnall2)) % 1.71/1.94 (step @p8002 :rule aci_norm :args ((= @t6359 @t2960))) % 1.71/1.94 (step @p8003 :rule cong :premises (@p8002) :args (@t6360)) % 1.71/1.94 (step @p8004 :rule quant-merge-prenex :args ((= (forall @t951 @t6362) @t6360))) % 1.71/1.94 (step @p8005 :rule alpha_equiv :args (@t6363 (@list @t2951 @t2950) (@list @t143 @t6364))) % 1.71/1.94 (step @p8006 :rule nary_cong :premises (@p7457 @p8005) :args (@t6365)) % 1.71/1.94 (step @p8007 :rule quant-miniscope-or :args ((= @t6362 @t6365))) % 1.71/1.94 (step @p8008 :rule trans :premises (@p8007 @p8006)) % 1.71/1.94 (step @p8009 :rule symm :premises (@p8008)) % 1.71/1.94 (step @p8010 :rule cong :premises (@p8009) :args ((forall @t951 (or @t2886 @t6374)))) % 1.71/1.94 (step @p8011 :rule trans :premises (@p8010 @p8004)) % 1.71/1.94 (step @p8012 :rule trans :premises (@p8011 @p8003)) % 1.71/1.94 (step @p8013 :rule refl :args (@t6374)) % 1.71/1.94 (step @p8014 :rule nary_cong :premises (@p7471 @p8013) :args (@t6375)) % 1.71/1.94 (step @p8015 :rule cong :premises (@p8014) :args ((forall @t951 @t6375))) % 1.71/1.94 (step @p8016 :rule trans :premises (@p8015 @p8012)) % 1.71/1.94 (step @p8017 :rule bool-impl-elim :args (@t949 @t6374)) % 1.71/1.94 (step @p8018 :rule cong :premises (@p8017) :args ((forall @t951 (=> @t949 @t6374)))) % 1.71/1.94 (step @p8019 :rule trans :premises (@p8018 @p8016)) % 1.71/1.94 (step @p8020 :rule aci_norm :args ((= @t6377 @t6372))) % 1.71/1.94 (step @p8021 :rule cong :premises (@p8020) :args (@t6378)) % 1.71/1.94 (step @p8022 :rule quant-merge-prenex :args ((= (forall @t150 @t6380) @t6378))) % 1.71/1.94 (step @p8023 :rule alpha_equiv :args (@t6381 (@list @t6364) @t3867)) % 1.71/1.94 (step @p8024 :rule refl :args (@t6371)) % 1.71/1.94 (step @p8025 :rule nary_cong :premises (@p8024 @p8023) :args (@t6382)) % 1.71/1.94 (step @p8026 :rule quant-miniscope-or :args ((= @t6380 @t6382))) % 1.71/1.94 (step @p8027 :rule trans :premises (@p8026 @p8025)) % 1.71/1.94 (step @p8028 :rule symm :premises (@p8027)) % 1.71/1.94 (step @p8029 :rule cong :premises (@p8028) :args ((forall @t150 (or @t6371 @t4514)))) % 1.71/1.94 (step @p8030 :rule trans :premises (@p8029 @p8022)) % 1.71/1.94 (step @p8031 :rule trans :premises (@p8030 @p8021)) % 1.71/1.94 (step @p8032 :rule bool-impl-elim :args (@t6370 @t4514)) % 1.71/1.94 (step @p8033 :rule cong :premises (@p8032) :args ((forall @t150 (=> @t6370 @t4514)))) % 1.71/1.94 (step @p8034 :rule trans :premises (@p8033 @p8031)) % 1.71/1.94 (step @p8035 :rule aci_norm :args ((= @t6384 @t6369))) % 1.71/1.94 (step @p8036 :rule cong :premises (@p8035) :args (@t6385)) % 1.71/1.94 (step @p8037 :rule quant-merge-prenex :args ((= (forall @t9 @t6387) @t6385))) % 1.71/1.94 (step @p8038 :rule alpha_equiv :args (@t6388 (@list @t2954) @t3833)) % 1.71/1.94 (step @p8039 :rule nary_cong :premises (@p1601 @p8038) :args (@t6389)) % 1.71/1.94 (step @p8040 :rule quant-miniscope-or :args ((= @t6387 @t6389))) % 1.71/1.94 (step @p8041 :rule trans :premises (@p8040 @p8039)) % 1.71/1.94 (step @p8042 :rule symm :premises (@p8041)) % 1.71/1.94 (step @p8043 :rule cong :premises (@p8042) :args ((forall @t9 (or @t2357 @t6390)))) % 1.71/1.94 (step @p8044 :rule trans :premises (@p8043 @p8037)) % 1.71/1.94 (step @p8045 :rule trans :premises (@p8044 @p8036)) % 1.71/1.94 (step @p8046 :rule refl :args (@t6390)) % 1.71/1.94 (step @p8047 :rule nary_cong :premises (@p1615 @p8046) :args (@t6391)) % 1.71/1.94 (step @p8048 :rule cong :premises (@p8047) :args ((forall @t9 @t6391))) % 1.71/1.94 (step @p8049 :rule trans :premises (@p8048 @p8045)) % 1.71/1.94 (step @p8050 :rule bool-impl-elim :args (@t7 @t6390)) % 1.71/1.94 (step @p8051 :rule cong :premises (@p8050) :args ((forall @t9 (=> @t7 @t6390)))) % 1.71/1.94 (step @p8052 :rule trans :premises (@p8051 @p8049)) % 1.71/1.94 (step @p8053 :rule nary_cong :premises (@p3021 @p1823 @p2788) :args (@t6392)) % 1.71/1.94 (step @p8054 :rule cong :premises (@p8053) :args ((forall @t70 @t6392))) % 1.71/1.94 (step @p8055 :rule aci_norm :args ((= (or @t4584 @t4528) @t6392))) % 1.71/1.94 (step @p8056 :rule nary_cong :premises (@p7523 @p2792) :args ((or @t4584 @t943))) % 1.71/1.94 (step @p8057 :rule trans :premises (@p8056 @p8055)) % 1.71/1.94 (step @p8058 :rule bool-impl-elim :args (@t354 @t943)) % 1.71/1.94 (step @p8059 :rule trans :premises (@p8058 @p8057)) % 1.71/1.94 (step @p8060 :rule cong :premises (@p8059) :args (@t944)) % 1.71/1.94 (step @p8061 :rule trans :premises (@p8060 @p8054)) % 1.71/1.94 (step @p8062 :rule cong :premises (@p1729 @p8061) :args (@t945)) % 1.71/1.94 (step @p8063 :rule cong :premises (@p8062) :args (@t946)) % 1.71/1.94 (step @p8064 :rule trans :premises (@p8063 @p8052)) % 1.71/1.94 (step @p8065 :rule cong :premises (@p8064 @p2759) :args (@t947)) % 1.71/1.94 (step @p8066 :rule cong :premises (@p8065) :args (@t948)) % 1.71/1.94 (step @p8067 :rule trans :premises (@p8066 @p8034)) % 1.71/1.94 (step @p8068 :rule cong :premises (@p7569 @p8067) :args (@t950)) % 1.71/1.94 (step @p8069 :rule cong :premises (@p8068) :args (@t952)) % 1.71/1.94 (step @p8070 :rule trans :premises (@p8069 @p8019)) % 1.71/1.94 (step @p8071 :rule cong :premises (@p8070 @p8001) :args ((= @t952 tptp.brelnall2))) % 1.71/1.94 (step @p8072 :rule trans :premises (@p8071 @p8000)) % 1.71/1.94 (step @p8073 :rule eq-symm :args (tptp.brelnall2 @t952)) % 1.71/1.94 (step @p8074 :rule trans :premises (@p8073 @p8072)) % 1.71/1.94 (step @p8075 :rule eq_resolve :premises (@p199 @p8074)) % 1.71/1.94 (step @p8076 :rule cong :premises (@p8075 @p7999) :args (@t6393)) % 1.71/1.94 (step @p8077 :rule refl :args (tptp.brelnall1)) % 1.71/1.94 (step @p8078 :rule cong :premises (@p8077 @p8070) :args (@t953)) % 1.71/1.94 (step @p8079 :rule eq_resolve :premises (@p198 @p8078)) % 1.71/1.94 (step @p8080 :rule cong :premises (@p8079 @p8076) :args (@t6394)) % 1.71/1.94 (step @p8081 :rule refl :args (@t2168)) % 1.71/1.94 (step @p8082 :rule lambda-elim :args ((= @t6395 @t918))) % 1.71/1.94 (step @p8083 :rule cong :premises (@p961 @p7194 @p8082) :args (@t6396)) % 1.71/1.94 (step @p8084 :rule cong :premises (@p8083 @p8081) :args (@t6397)) % 1.71/1.94 (step @p8085 :rule refl :args (@t2848)) % 1.71/1.94 (step @p8086 :rule nary_cong :premises (@p8085 @p8084) :args (@t6398)) % 1.71/1.94 (step @p8087 :rule cong :premises (@p8086) :args ((forall @t924 @t6398))) % 1.71/1.94 (step @p8088 :rule refl :args ((tptp.in @t929 @t908))) % 1.71/1.94 (step @p8089 :rule refl :args ((tptp.lam @t2 @t1 @t927))) % 1.71/1.94 (step @p8090 :rule cong :premises (@p7224) :args (@t6395)) % 1.71/1.94 (step @p8091 :rule cong :premises (@p973 @p2930 @p8090) :args (@t6396)) % 1.71/1.94 (step @p8092 :rule trans :premises (@p8091 @p8089)) % 1.71/1.94 (step @p8093 :rule cong :premises (@p8092 @p866) :args (@t6397)) % 1.71/1.94 (step @p8094 :rule trans :premises (@p8093 @p8088)) % 1.71/1.94 (step @p8095 :rule ho_cong :premises (@p1628 @p8092)) % 1.71/1.94 (step @p8096 :rule ho_cong :premises (@p8095 @p866)) % 1.71/1.94 (step @p8097 :rule cong :premises (@p8096 @p8094) :args ((= (_ (_ tptp.in @t6396) @t2168) @t6397))) % 1.71/1.94 (step @p8098 :rule symm :premises (@p8097)) % 1.71/1.94 (step @p8099 :rule refl :args (@t934)) % 1.71/1.94 (step @p8100 :rule eq_resolve :premises (@p8099 @p8098)) % 1.71/1.94 (step @p8101 :rule ho_cong :premises (@p7149 @p8090)) % 1.71/1.94 (step @p8102 :rule cong :premises (@p8101 @p8092) :args ((= (_ @t928 @t6395) @t6396))) % 1.71/1.94 (step @p8103 :rule symm :premises (@p8102)) % 1.71/1.94 (step @p8104 :rule refl :args (@t929)) % 1.71/1.94 (step @p8105 :rule eq_resolve :premises (@p8104 @p8103)) % 1.71/1.94 (step @p8106 :rule cong :premises (@p7228) :args (@t927)) % 1.71/1.94 (step @p8107 :rule ho_cong :premises (@p7149 @p8106)) % 1.71/1.94 (step @p8108 :rule trans :premises (@p8107 @p8105)) % 1.71/1.94 (step @p8109 :rule ho_cong :premises (@p1628 @p8108)) % 1.71/1.94 (step @p8110 :rule ho_cong :premises (@p8109 @p877)) % 1.71/1.94 (step @p8111 :rule trans :premises (@p8110 @p8100)) % 1.71/1.94 (step @p8112 :rule nary_cong :premises (@p7183 @p8111) :args (@t6399)) % 1.71/1.94 (step @p8113 :rule cong :premises (@p8112) :args ((forall @t924 @t6399))) % 1.71/1.94 (step @p8114 :rule trans :premises (@p8113 @p8087)) % 1.71/1.94 (step @p8115 :rule bool-impl-elim :args (@t2847 @t934)) % 1.71/1.94 (step @p8116 :rule cong :premises (@p8115) :args ((forall @t924 (=> @t2847 @t934)))) % 1.71/1.94 (step @p8117 :rule trans :premises (@p8116 @p8114)) % 1.71/1.94 (step @p8118 :rule refl :args (@t934)) % 1.71/1.94 (step @p8119 :rule cong :premises (@p7256 @p8118) :args (@t935)) % 1.71/1.94 (step @p8120 :rule cong :premises (@p8119) :args (@t936)) % 1.71/1.94 (step @p8121 :rule trans :premises (@p8120 @p8117)) % 1.71/1.94 (step @p8122 :rule refl :args (tptp.lam2p)) % 1.71/1.94 (step @p8123 :rule cong :premises (@p8122 @p8121) :args (@t937)) % 1.71/1.94 (step @p8124 :rule eq_resolve :premises (@p197 @p8123)) % 1.71/1.94 (step @p8125 :rule cong :premises (@p8124 @p8080) :args (@t6400)) % 1.71/1.94 (step @p8126 :rule cong :premises (@p961 @p7194 @p8083) :args (@t6401)) % 1.71/1.94 (step @p8127 :rule nary_cong :premises (@p8085 @p8126) :args (@t6402)) % 1.71/1.94 (step @p8128 :rule cong :premises (@p8127) :args ((forall @t924 @t6402))) % 1.71/1.94 (step @p8129 :rule refl :args ((tptp.func @t2 @t1 @t929))) % 1.71/1.94 (step @p8130 :rule cong :premises (@p973 @p2930 @p8092) :args (@t6401)) % 1.71/1.94 (step @p8131 :rule trans :premises (@p8130 @p8129)) % 1.71/1.94 (step @p8132 :rule refl :args (@t888)) % 1.71/1.94 (step @p8133 :rule ho_cong :premises (@p8132 @p8092)) % 1.71/1.94 (step @p8134 :rule cong :premises (@p8133 @p8131) :args ((= (_ @t888 @t6396) @t6401))) % 1.71/1.94 (step @p8135 :rule symm :premises (@p8134)) % 1.71/1.94 (step @p8136 :rule refl :args (@t930)) % 1.71/1.94 (step @p8137 :rule eq_resolve :premises (@p8136 @p8135)) % 1.71/1.94 (step @p8138 :rule ho_cong :premises (@p8132 @p8108)) % 1.71/1.94 (step @p8139 :rule trans :premises (@p8138 @p8137)) % 1.71/1.94 (step @p8140 :rule nary_cong :premises (@p7183 @p8139) :args (@t6403)) % 1.71/1.94 (step @p8141 :rule cong :premises (@p8140) :args ((forall @t924 @t6403))) % 1.71/1.94 (step @p8142 :rule trans :premises (@p8141 @p8128)) % 1.71/1.94 (step @p8143 :rule bool-impl-elim :args (@t2847 @t930)) % 1.71/1.94 (step @p8144 :rule cong :premises (@p8143) :args ((forall @t924 (=> @t2847 @t930)))) % 1.71/1.94 (step @p8145 :rule trans :premises (@p8144 @p8142)) % 1.71/1.94 (step @p8146 :rule refl :args (@t930)) % 1.71/1.94 (step @p8147 :rule cong :premises (@p7256 @p8146) :args (@t931)) % 1.71/1.94 (step @p8148 :rule cong :premises (@p8147) :args (@t932)) % 1.71/1.94 (step @p8149 :rule trans :premises (@p8148 @p8145)) % 1.71/1.94 (step @p8150 :rule refl :args (tptp.lamp)) % 1.71/1.94 (step @p8151 :rule cong :premises (@p8150 @p8149) :args (@t933)) % 1.71/1.94 (step @p8152 :rule eq_resolve :premises (@p196 @p8151)) % 1.71/1.94 (step @p8153 :rule cong :premises (@p8152 @p8125) :args (@t6404)) % 1.71/1.94 (step @p8154 :rule refl :args ((tptp.func @t2 @t1 @t6407))) % 1.71/1.94 (step @p8155 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t6406))) % 1.71/1.94 (step @p8156 :rule cong :premises (@p1104 @p7224) :args (@t2965)) % 1.71/1.94 (step @p8157 :rule cong :premises (@p8156) :args (@t2966)) % 1.71/1.94 (step @p8158 :rule cong :premises (@p973 @p2930 @p8157) :args (@t2967)) % 1.71/1.94 (step @p8159 :rule trans :premises (@p8158 @p8155)) % 1.71/1.94 (step @p8160 :rule cong :premises (@p973 @p2930 @p8159) :args (@t2968)) % 1.71/1.94 (step @p8161 :rule trans :premises (@p8160 @p8154)) % 1.71/1.94 (step @p8162 :rule ho_cong :premises (@p8132 @p8159)) % 1.71/1.94 (step @p8163 :rule cong :premises (@p8162 @p8161) :args ((= (_ @t888 @t2967) @t2968))) % 1.71/1.94 (step @p8164 :rule symm :premises (@p8163)) % 1.71/1.94 (step @p8165 :rule refl :args (@t6408)) % 1.71/1.94 (step @p8166 :rule eq_resolve :premises (@p8165 @p8164)) % 1.71/1.94 (step @p8167 :rule refl :args (@t851)) % 1.71/1.94 (step @p8168 :rule ho_cong :premises (@p8167 @p8157)) % 1.71/1.94 (step @p8169 :rule cong :premises (@p8168 @p8159) :args ((= (_ @t851 @t2966) @t2967))) % 1.71/1.94 (step @p8170 :rule symm :premises (@p8169)) % 1.71/1.94 (step @p8171 :rule refl :args (@t6407)) % 1.71/1.94 (step @p8172 :rule eq_resolve :premises (@p8171 @p8170)) % 1.71/1.94 (step @p8173 :rule cong :premises (@p1104 @p7228) :args (@t6405)) % 1.71/1.94 (step @p8174 :rule cong :premises (@p8173) :args (@t6406)) % 1.71/1.94 (step @p8175 :rule ho_cong :premises (@p8167 @p8174)) % 1.71/1.94 (step @p8176 :rule trans :premises (@p8175 @p8172)) % 1.71/1.94 (step @p8177 :rule ho_cong :premises (@p8132 @p8176)) % 1.71/1.94 (step @p8178 :rule trans :premises (@p8177 @p8166)) % 1.71/1.94 (step @p8179 :rule nary_cong :premises (@p7183 @p8178) :args (@t6409)) % 1.71/1.94 (step @p8180 :rule cong :premises (@p8179) :args ((forall @t924 @t6409))) % 1.71/1.94 (step @p8181 :rule bool-impl-elim :args (@t2847 @t6408)) % 1.71/1.94 (step @p8182 :rule cong :premises (@p8181) :args ((forall @t924 (=> @t2847 @t6408)))) % 1.71/1.94 (step @p8183 :rule trans :premises (@p8182 @p8180)) % 1.71/1.94 (step @p8184 :rule eq-symm :args (@t919 @t19)) % 1.71/1.94 (step @p8185 :rule cong :premises (@p8184) :args (@t920)) % 1.71/1.94 (step @p8186 :rule refl :args (@t851)) % 1.71/1.94 (step @p8187 :rule ho_cong :premises (@p8186 @p8185)) % 1.71/1.94 (step @p8188 :rule refl :args (@t888)) % 1.71/1.94 (step @p8189 :rule ho_cong :premises (@p8188 @p8187)) % 1.71/1.94 (step @p8190 :rule cong :premises (@p7256 @p8189) :args (@t923)) % 1.71/1.94 (step @p8191 :rule cong :premises (@p8190) :args (@t925)) % 1.71/1.94 (step @p8192 :rule trans :premises (@p8191 @p8183)) % 1.71/1.94 (step @p8193 :rule refl :args (tptp.lamProp)) % 1.71/1.94 (step @p8194 :rule cong :premises (@p8193 @p8192) :args (@t926)) % 1.71/1.94 (step @p8195 :rule eq_resolve :premises (@p195 @p8194)) % 1.71/1.94 (step @p8196 :rule cong :premises (@p8195 @p8153) :args (@t6410)) % 1.71/1.94 (step @p8197 :rule nary_cong :premises (@p7286 @p879) :args (@t6411)) % 1.71/1.94 (step @p8198 :rule cong :premises (@p8197) :args ((forall @t891 @t6411))) % 1.71/1.94 (step @p8199 :rule bool-impl-elim :args (@t889 @t910)) % 1.71/1.94 (step @p8200 :rule cong :premises (@p8199) :args (@t916)) % 1.71/1.94 (step @p8201 :rule trans :premises (@p8200 @p8198)) % 1.71/1.94 (step @p8202 :rule refl :args (tptp.funcinfuncset)) % 1.71/1.94 (step @p8203 :rule cong :premises (@p8202 @p8201) :args (@t917)) % 1.71/1.94 (step @p8204 :rule eq_resolve :premises (@p194 @p8203)) % 1.71/1.94 (step @p8205 :rule cong :premises (@p8204 @p8196) :args (@t6412)) % 1.71/1.94 (step @p8206 :rule aci_norm :args ((= @t6414 @t2974))) % 1.71/1.94 (step @p8207 :rule cong :premises (@p8206) :args (@t6415)) % 1.71/1.94 (step @p8208 :rule quant-merge-prenex :args ((= (forall @t891 @t6417) @t6415))) % 1.71/1.94 (step @p8209 :rule alpha_equiv :args (@t6418 (@list @t2971) @t3867)) % 1.71/1.94 (step @p8210 :rule nary_cong :premises (@p7342 @p8209) :args (@t6419)) % 1.71/1.94 (step @p8211 :rule quant-miniscope-or :args ((= @t6417 @t6419))) % 1.71/1.94 (step @p8212 :rule trans :premises (@p8211 @p8210)) % 1.71/1.94 (step @p8213 :rule symm :premises (@p8212)) % 1.71/1.94 (step @p8214 :rule cong :premises (@p8213) :args ((forall @t891 (or @t2194 @t6421)))) % 1.71/1.94 (step @p8215 :rule trans :premises (@p8214 @p8208)) % 1.71/1.94 (step @p8216 :rule trans :premises (@p8215 @p8207)) % 1.71/1.94 (step @p8217 :rule refl :args (@t6421)) % 1.71/1.94 (step @p8218 :rule nary_cong :premises (@p911 @p8217) :args (@t6422)) % 1.71/1.94 (step @p8219 :rule cong :premises (@p8218) :args ((forall @t891 @t6422))) % 1.71/1.94 (step @p8220 :rule trans :premises (@p8219 @p8216)) % 1.71/1.94 (step @p8221 :rule bool-impl-elim :args (@t910 @t6421)) % 1.71/1.94 (step @p8222 :rule cong :premises (@p8221) :args ((forall @t891 (=> @t910 @t6421)))) % 1.71/1.94 (step @p8223 :rule trans :premises (@p8222 @p8220)) % 1.71/1.94 (step @p8224 :rule refl :args ((tptp.in @t902 @t1))) % 1.71/1.94 (step @p8225 :rule cong :premises (@p7145 @p2930) :args (@t6420)) % 1.71/1.94 (step @p8226 :rule trans :premises (@p8225 @p8224)) % 1.71/1.94 (step @p8227 :rule ho_cong :premises (@p1628 @p7145)) % 1.71/1.94 (step @p8228 :rule ho_cong :premises (@p8227 @p2930)) % 1.71/1.94 (step @p8229 :rule cong :premises (@p8228 @p8226) :args ((= (_ (_ tptp.in @t2837) @t1) @t6420))) % 1.71/1.94 (step @p8230 :rule symm :premises (@p8229)) % 1.71/1.94 (step @p8231 :rule refl :args (@t903)) % 1.71/1.94 (step @p8232 :rule eq_resolve :premises (@p8231 @p8230)) % 1.71/1.94 (step @p8233 :rule ho_cong :premises (@p1628 @p7158)) % 1.71/1.94 (step @p8234 :rule ho_cong :premises (@p8233 @p2930)) % 1.71/1.94 (step @p8235 :rule trans :premises (@p8234 @p8232)) % 1.71/1.94 (step @p8236 :rule nary_cong :premises (@p1615 @p8235) :args (@t6423)) % 1.71/1.94 (step @p8237 :rule cong :premises (@p8236) :args ((forall @t9 @t6423))) % 1.71/1.94 (step @p8238 :rule bool-impl-elim :args (@t7 @t903)) % 1.71/1.94 (step @p8239 :rule cong :premises (@p8238) :args (@t904)) % 1.71/1.94 (step @p8240 :rule trans :premises (@p8239 @p8237)) % 1.71/1.94 (step @p8241 :rule cong :premises (@p7169 @p8240) :args (@t913)) % 1.71/1.94 (step @p8242 :rule cong :premises (@p8241) :args (@t914)) % 1.71/1.94 (step @p8243 :rule trans :premises (@p8242 @p8223)) % 1.71/1.94 (step @p8244 :rule refl :args (tptp.ap2p)) % 1.71/1.94 (step @p8245 :rule cong :premises (@p8244 @p8243) :args (@t915)) % 1.71/1.94 (step @p8246 :rule eq_resolve :premises (@p193 @p8245)) % 1.71/1.94 (step @p8247 :rule cong :premises (@p8246 @p8205) :args (@t6424)) % 1.71/1.94 (step @p8248 :rule nary_cong :premises (@p911 @p7285) :args (@t6425)) % 1.71/1.94 (step @p8249 :rule cong :premises (@p8248) :args ((forall @t891 @t6425))) % 1.71/1.94 (step @p8250 :rule bool-impl-elim :args (@t910 @t889)) % 1.71/1.94 (step @p8251 :rule cong :premises (@p8250) :args (@t911)) % 1.71/1.94 (step @p8252 :rule trans :premises (@p8251 @p8249)) % 1.71/1.94 (step @p8253 :rule refl :args (tptp.infuncsetfunc)) % 1.71/1.94 (step @p8254 :rule cong :premises (@p8253 @p8252) :args (@t912)) % 1.71/1.94 (step @p8255 :rule eq_resolve :premises (@p192 @p8254)) % 1.71/1.94 (step @p8256 :rule cong :premises (@p8255 @p8247) :args (@t6426)) % 1.71/1.94 (step @p8257 :rule aci_norm :args ((= @t6428 @t2981))) % 1.71/1.94 (step @p8258 :rule cong :premises (@p8257) :args (@t6429)) % 1.71/1.94 (step @p8259 :rule quant-merge-prenex :args ((= (forall @t891 @t6431) @t6429))) % 1.71/1.94 (step @p8260 :rule alpha_equiv :args (@t6432 (@list @t2978) @t3867)) % 1.71/1.94 (step @p8261 :rule nary_cong :premises (@p7411 @p8260) :args (@t6433)) % 1.71/1.94 (step @p8262 :rule quant-miniscope-or :args ((= @t6431 @t6433))) % 1.71/1.94 (step @p8263 :rule trans :premises (@p8262 @p8261)) % 1.71/1.94 (step @p8264 :rule symm :premises (@p8263)) % 1.71/1.94 (step @p8265 :rule cong :premises (@p8264) :args ((forall @t891 (or @t2854 @t6421)))) % 1.71/1.94 (step @p8266 :rule trans :premises (@p8265 @p8259)) % 1.71/1.94 (step @p8267 :rule trans :premises (@p8266 @p8258)) % 1.71/1.94 (step @p8268 :rule nary_cong :premises (@p7286 @p8217) :args (@t6434)) % 1.71/1.94 (step @p8269 :rule cong :premises (@p8268) :args ((forall @t891 @t6434))) % 1.71/1.94 (step @p8270 :rule trans :premises (@p8269 @p8267)) % 1.71/1.94 (step @p8271 :rule bool-impl-elim :args (@t889 @t6421)) % 1.71/1.94 (step @p8272 :rule cong :premises (@p8271) :args ((forall @t891 (=> @t889 @t6421)))) % 1.71/1.94 (step @p8273 :rule trans :premises (@p8272 @p8270)) % 1.71/1.94 (step @p8274 :rule cong :premises (@p7292 @p8240) :args (@t905)) % 1.71/1.94 (step @p8275 :rule cong :premises (@p8274) :args (@t906)) % 1.71/1.94 (step @p8276 :rule trans :premises (@p8275 @p8273)) % 1.71/1.94 (step @p8277 :rule refl :args (tptp.app)) % 1.71/1.94 (step @p8278 :rule cong :premises (@p8277 @p8276) :args (@t907)) % 1.71/1.94 (step @p8279 :rule eq_resolve :premises (@p191 @p8278)) % 1.71/1.94 (step @p8280 :rule cong :premises (@p8279 @p8256) :args (@t6435)) % 1.71/1.94 (step @p8281 :rule aci_norm :args ((= @t6437 @t2987))) % 1.71/1.94 (step @p8282 :rule cong :premises (@p8281) :args (@t6438)) % 1.71/1.94 (step @p8283 :rule quant-merge-prenex :args ((= (forall @t891 @t6440) @t6438))) % 1.71/1.94 (step @p8284 :rule alpha_equiv :args (@t6441 (@list @t2984) @t3867)) % 1.71/1.94 (step @p8285 :rule nary_cong :premises (@p7411 @p8284) :args (@t6442)) % 1.71/1.94 (step @p8286 :rule quant-miniscope-or :args ((= @t6440 @t6442))) % 1.71/1.94 (step @p8287 :rule trans :premises (@p8286 @p8285)) % 1.71/1.94 (step @p8288 :rule symm :premises (@p8287)) % 1.71/1.94 (step @p8289 :rule cong :premises (@p8288) :args ((forall @t891 (or @t2854 @t6447)))) % 1.71/1.94 (step @p8290 :rule trans :premises (@p8289 @p8283)) % 1.71/1.94 (step @p8291 :rule trans :premises (@p8290 @p8282)) % 1.71/1.94 (step @p8292 :rule refl :args (@t6447)) % 1.71/1.94 (step @p8293 :rule nary_cong :premises (@p7286 @p8292) :args (@t6448)) % 1.71/1.94 (step @p8294 :rule cong :premises (@p8293) :args ((forall @t891 @t6448))) % 1.71/1.94 (step @p8295 :rule trans :premises (@p8294 @p8291)) % 1.71/1.94 (step @p8296 :rule bool-impl-elim :args (@t889 @t6447)) % 1.71/1.94 (step @p8297 :rule cong :premises (@p8296) :args ((forall @t891 (=> @t889 @t6447)))) % 1.71/1.94 (step @p8298 :rule trans :premises (@p8297 @p8295)) % 1.71/1.94 (step @p8299 :rule refl :args ((tptp.in @t894 @t1))) % 1.71/1.94 (step @p8300 :rule refl :args ((tptp.setunion @t885))) % 1.71/1.94 (step @p8301 :rule refl :args ((tptp.dsetconstr @t1 @t884))) % 1.71/1.94 (step @p8302 :rule cong :premises (@p7667) :args (@t6443)) % 1.71/1.94 (step @p8303 :rule cong :premises (@p2930 @p8302) :args (@t6444)) % 1.71/1.94 (step @p8304 :rule trans :premises (@p8303 @p8301)) % 1.71/1.94 (step @p8305 :rule cong :premises (@p8304) :args (@t6445)) % 1.71/1.94 (step @p8306 :rule trans :premises (@p8305 @p8300)) % 1.71/1.94 (step @p8307 :rule cong :premises (@p8306 @p2930) :args (@t6446)) % 1.71/1.94 (step @p8308 :rule trans :premises (@p8307 @p8299)) % 1.71/1.94 (step @p8309 :rule ho_cong :premises (@p1628 @p8306)) % 1.71/1.94 (step @p8310 :rule ho_cong :premises (@p8309 @p2930)) % 1.71/1.94 (step @p8311 :rule cong :premises (@p8310 @p8308) :args ((= (_ (_ tptp.in @t6445) @t1) @t6446))) % 1.71/1.94 (step @p8312 :rule symm :premises (@p8311)) % 1.71/1.94 (step @p8313 :rule refl :args (@t895)) % 1.71/1.94 (step @p8314 :rule eq_resolve :premises (@p8313 @p8312)) % 1.71/1.94 (step @p8315 :rule refl :args (tptp.setunion)) % 1.71/1.94 (step @p8316 :rule ho_cong :premises (@p8315 @p8304)) % 1.71/1.94 (step @p8317 :rule cong :premises (@p8316 @p8306) :args ((= (_ tptp.setunion @t6444) @t6445))) % 1.71/1.94 (step @p8318 :rule symm :premises (@p8317)) % 1.71/1.94 (step @p8319 :rule refl :args (@t894)) % 1.71/1.94 (step @p8320 :rule eq_resolve :premises (@p8319 @p8318)) % 1.71/1.94 (step @p8321 :rule ho_cong :premises (@p2941 @p8302)) % 1.71/1.94 (step @p8322 :rule cong :premises (@p8321 @p8304) :args ((= (_ @t410 @t6443) @t6444))) % 1.71/1.94 (step @p8323 :rule symm :premises (@p8322)) % 1.71/1.94 (step @p8324 :rule refl :args (@t885)) % 1.71/1.94 (step @p8325 :rule eq_resolve :premises (@p8324 @p8323)) % 1.71/1.94 (step @p8326 :rule cong :premises (@p7674) :args (@t884)) % 1.71/1.94 (step @p8327 :rule ho_cong :premises (@p2941 @p8326)) % 1.71/1.94 (step @p8328 :rule trans :premises (@p8327 @p8325)) % 1.71/1.94 (step @p8329 :rule ho_cong :premises (@p8315 @p8328)) % 1.71/1.94 (step @p8330 :rule trans :premises (@p8329 @p8320)) % 1.71/1.94 (step @p8331 :rule ho_cong :premises (@p1628 @p8330)) % 1.71/1.94 (step @p8332 :rule ho_cong :premises (@p8331 @p2930)) % 1.71/1.94 (step @p8333 :rule trans :premises (@p8332 @p8314)) % 1.71/1.94 (step @p8334 :rule nary_cong :premises (@p1615 @p8333) :args (@t6449)) % 1.71/1.94 (step @p8335 :rule cong :premises (@p8334) :args ((forall @t9 @t6449))) % 1.71/1.94 (step @p8336 :rule bool-impl-elim :args (@t7 @t895)) % 1.71/1.94 (step @p8337 :rule cong :premises (@p8336) :args (@t896)) % 1.71/1.94 (step @p8338 :rule trans :premises (@p8337 @p8335)) % 1.71/1.94 (step @p8339 :rule cong :premises (@p7292 @p8338) :args (@t897)) % 1.71/1.94 (step @p8340 :rule cong :premises (@p8339) :args (@t898)) % 1.71/1.94 (step @p8341 :rule trans :premises (@p8340 @p8298)) % 1.71/1.94 (step @p8342 :rule refl :args (tptp.apProp)) % 1.71/1.94 (step @p8343 :rule cong :premises (@p8342 @p8341) :args (@t899)) % 1.71/1.94 (step @p8344 :rule eq_resolve :premises (@p190 @p8343)) % 1.71/1.94 (step @p8345 :rule cong :premises (@p8344 @p8280) :args (@t6450)) % 1.71/1.94 (step @p8346 :rule aci_norm :args ((= @t6452 @t2993))) % 1.71/1.94 (step @p8347 :rule cong :premises (@p8346) :args (@t6453)) % 1.71/1.94 (step @p8348 :rule quant-merge-prenex :args ((= (forall @t891 @t6455) @t6453))) % 1.71/1.94 (step @p8349 :rule alpha_equiv :args (@t6456 (@list @t2990) @t3867)) % 1.71/1.94 (step @p8350 :rule nary_cong :premises (@p7411 @p8349) :args (@t6457)) % 1.71/1.94 (step @p8351 :rule quant-miniscope-or :args ((= @t6455 @t6457))) % 1.71/1.94 (step @p8352 :rule trans :premises (@p8351 @p8350)) % 1.71/1.94 (step @p8353 :rule symm :premises (@p8352)) % 1.71/1.94 (step @p8354 :rule cong :premises (@p8353) :args ((forall @t891 (or @t2854 @t6459)))) % 1.71/1.94 (step @p8355 :rule trans :premises (@p8354 @p8348)) % 1.71/1.94 (step @p8356 :rule trans :premises (@p8355 @p8347)) % 1.71/1.94 (step @p8357 :rule refl :args (@t6459)) % 1.71/1.94 (step @p8358 :rule nary_cong :premises (@p7286 @p8357) :args (@t6460)) % 1.71/1.94 (step @p8359 :rule cong :premises (@p8358) :args ((forall @t891 @t6460))) % 1.71/1.94 (step @p8360 :rule trans :premises (@p8359 @p8356)) % 1.71/1.94 (step @p8361 :rule bool-impl-elim :args (@t889 @t6459)) % 1.71/1.94 (step @p8362 :rule cong :premises (@p8361) :args ((forall @t891 (=> @t889 @t6459)))) % 1.71/1.94 (step @p8363 :rule trans :premises (@p8362 @p8360)) % 1.71/1.94 (step @p8364 :rule refl :args ((tptp.singleton @t885))) % 1.71/1.94 (step @p8365 :rule cong :premises (@p8304) :args (@t6458)) % 1.71/1.94 (step @p8366 :rule trans :premises (@p8365 @p8364)) % 1.71/1.94 (step @p8367 :rule ho_cong :premises (@p2935 @p8304)) % 1.71/1.94 (step @p8368 :rule cong :premises (@p8367 @p8366) :args ((= (_ tptp.singleton @t6444) @t6458))) % 1.71/1.94 (step @p8369 :rule symm :premises (@p8368)) % 1.71/1.94 (step @p8370 :rule refl :args (@t886)) % 1.71/1.94 (step @p8371 :rule eq_resolve :premises (@p8370 @p8369)) % 1.71/1.94 (step @p8372 :rule ho_cong :premises (@p2935 @p8328)) % 1.71/1.94 (step @p8373 :rule trans :premises (@p8372 @p8371)) % 1.71/1.94 (step @p8374 :rule nary_cong :premises (@p1615 @p8373) :args (@t6461)) % 1.71/1.94 (step @p8375 :rule cong :premises (@p8374) :args ((forall @t9 @t6461))) % 1.71/1.94 (step @p8376 :rule bool-impl-elim :args (@t7 @t886)) % 1.71/1.94 (step @p8377 :rule cong :premises (@p8376) :args (@t887)) % 1.71/1.94 (step @p8378 :rule trans :premises (@p8377 @p8375)) % 1.71/1.94 (step @p8379 :rule cong :premises (@p7292 @p8378) :args (@t890)) % 1.71/1.94 (step @p8380 :rule cong :premises (@p8379) :args (@t892)) % 1.71/1.94 (step @p8381 :rule trans :premises (@p8380 @p8363)) % 1.71/1.94 (step @p8382 :rule refl :args (tptp.funcImageSingleton)) % 1.71/1.94 (step @p8383 :rule cong :premises (@p8382 @p8381) :args (@t893)) % 1.71/1.94 (step @p8384 :rule eq_resolve :premises (@p189 @p8383)) % 1.71/1.94 (step @p8385 :rule cong :premises (@p8384 @p8345) :args (@t6462)) % 1.71/1.94 (step @p8386 :rule refl :args (@t2398)) % 1.71/1.94 (step @p8387 :rule lambda-elim :args ((= @t6464 @t67))) % 1.71/1.94 (step @p8388 :rule cong :premises (@p961 @p7194 @p8387) :args (@t6465)) % 1.71/1.94 (step @p8389 :rule refl :args (@t2997)) % 1.71/1.94 (step @p8390 :rule cong :premises (@p8389 @p8388) :args (@t6466)) % 1.71/1.94 (step @p8391 :rule cong :premises (@p8390) :args (@t6467)) % 1.71/1.94 (step @p8392 :rule nary_cong :premises (@p8391 @p8386) :args (@t6468)) % 1.71/1.94 (step @p8393 :rule cong :premises (@p8392) :args ((forall @t875 @t6468))) % 1.71/1.94 (step @p8394 :rule refl :args ((tptp.in @t633 @t852))) % 1.71/1.94 (step @p8395 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t849))) % 1.71/1.94 (step @p8396 :rule refl :args (@t6463)) % 1.71/1.94 (step @p8397 :rule cong :premises (@p8396) :args (@t6464)) % 1.71/1.94 (step @p8398 :rule cong :premises (@p973 @p2930 @p8397) :args (@t6465)) % 1.71/1.94 (step @p8399 :rule trans :premises (@p8398 @p8395)) % 1.71/1.94 (step @p8400 :rule cong :premises (@p1625 @p8399) :args (@t6466)) % 1.71/1.94 (step @p8401 :rule trans :premises (@p8400 @p8394)) % 1.71/1.94 (step @p8402 :rule ho_cong :premises (@p1629 @p8399)) % 1.71/1.94 (step @p8403 :rule cong :premises (@p8402 @p8401) :args ((= (_ @t4048 @t6465) @t6466))) % 1.71/1.94 (step @p8404 :rule symm :premises (@p8403)) % 1.71/1.94 (step @p8405 :rule refl :args (@t853)) % 1.71/1.94 (step @p8406 :rule eq_resolve :premises (@p8405 @p8404)) % 1.71/1.94 (step @p8407 :rule ho_cong :premises (@p8167 @p8397)) % 1.71/1.94 (step @p8408 :rule cong :premises (@p8407 @p8399) :args ((= (_ @t851 @t6464) @t6465))) % 1.71/1.94 (step @p8409 :rule symm :premises (@p8408)) % 1.71/1.94 (step @p8410 :rule refl :args (@t852)) % 1.71/1.94 (step @p8411 :rule eq_resolve :premises (@p8410 @p8409)) % 1.71/1.94 (step @p8412 :rule refl :args (@t848)) % 1.71/1.94 (step @p8413 :rule cong :premises (@p8412 @p8396) :args ((= @t848 @t6463))) % 1.71/1.94 (step @p8414 :rule symm :premises (@p8413)) % 1.71/1.94 (step @p8415 :rule eq_resolve :premises (@p8412 @p8414)) % 1.71/1.94 (step @p8416 :rule cong :premises (@p8415) :args (@t849)) % 1.71/1.94 (step @p8417 :rule ho_cong :premises (@p8167 @p8416)) % 1.71/1.94 (step @p8418 :rule trans :premises (@p8417 @p8411)) % 1.71/1.94 (step @p8419 :rule ho_cong :premises (@p1639 @p8418)) % 1.71/1.94 (step @p8420 :rule trans :premises (@p8419 @p8406)) % 1.71/1.94 (step @p8421 :rule cong :premises (@p8420) :args (@t6469)) % 1.71/1.94 (step @p8422 :rule nary_cong :premises (@p8421 @p2840) :args (@t6470)) % 1.71/1.94 (step @p8423 :rule cong :premises (@p8422) :args ((forall @t875 @t6470))) % 1.71/1.94 (step @p8424 :rule trans :premises (@p8423 @p8393)) % 1.71/1.94 (step @p8425 :rule bool-impl-elim :args (@t853 @t76)) % 1.71/1.94 (step @p8426 :rule cong :premises (@p8425) :args (@t880)) % 1.71/1.94 (step @p8427 :rule trans :premises (@p8426 @p8424)) % 1.71/1.94 (step @p8428 :rule refl :args (tptp.dpsetconstrER)) % 1.71/1.94 (step @p8429 :rule cong :premises (@p8428 @p8427) :args (@t881)) % 1.71/1.94 (step @p8430 :rule eq_resolve :premises (@p188 @p8429)) % 1.71/1.94 (step @p8431 :rule cong :premises (@p8430 @p8385) :args (@t6471)) % 1.71/1.94 (step @p8432 :rule refl :args (@t2400)) % 1.71/1.94 (step @p8433 :rule nary_cong :premises (@p8391 @p8432) :args (@t6472)) % 1.71/1.94 (step @p8434 :rule cong :premises (@p8433) :args ((forall @t875 @t6472))) % 1.71/1.94 (step @p8435 :rule nary_cong :premises (@p8421 @p3020) :args (@t6473)) % 1.71/1.94 (step @p8436 :rule cong :premises (@p8435) :args ((forall @t875 @t6473))) % 1.71/1.94 (step @p8437 :rule trans :premises (@p8436 @p8434)) % 1.71/1.94 (step @p8438 :rule bool-impl-elim :args (@t853 @t354)) % 1.71/1.94 (step @p8439 :rule cong :premises (@p8438) :args (@t878)) % 1.71/1.94 (step @p8440 :rule trans :premises (@p8439 @p8437)) % 1.71/1.94 (step @p8441 :rule refl :args (tptp.dpsetconstrEL2)) % 1.71/1.94 (step @p8442 :rule cong :premises (@p8441 @p8440) :args (@t879)) % 1.71/1.94 (step @p8443 :rule eq_resolve :premises (@p187 @p8442)) % 1.71/1.94 (step @p8444 :rule cong :premises (@p8443 @p8431) :args (@t6474)) % 1.71/1.94 (step @p8445 :rule refl :args (@t2356)) % 1.71/1.94 (step @p8446 :rule nary_cong :premises (@p8391 @p8445) :args (@t6475)) % 1.71/1.94 (step @p8447 :rule cong :premises (@p8446) :args ((forall @t875 @t6475))) % 1.71/1.94 (step @p8448 :rule nary_cong :premises (@p8421 @p1614) :args (@t6476)) % 1.71/1.94 (step @p8449 :rule cong :premises (@p8448) :args ((forall @t875 @t6476))) % 1.71/1.94 (step @p8450 :rule trans :premises (@p8449 @p8447)) % 1.71/1.94 (step @p8451 :rule bool-impl-elim :args (@t853 @t7)) % 1.71/1.94 (step @p8452 :rule cong :premises (@p8451) :args (@t876)) % 1.71/1.94 (step @p8453 :rule trans :premises (@p8452 @p8450)) % 1.71/1.94 (step @p8454 :rule refl :args (tptp.dpsetconstrEL1)) % 1.71/1.94 (step @p8455 :rule cong :premises (@p8454 @p8453) :args (@t877)) % 1.71/1.94 (step @p8456 :rule eq_resolve :premises (@p186 @p8455)) % 1.71/1.94 (step @p8457 :rule cong :premises (@p8456 @p8444) :args (@t6477)) % 1.71/1.94 (step @p8458 :rule aci_norm :args ((= @t6479 @t3007))) % 1.71/1.94 (step @p8459 :rule cong :premises (@p8458) :args (@t6480)) % 1.71/1.94 (step @p8460 :rule quant-merge-prenex :args ((= (forall @t857 @t6482) @t6480))) % 1.71/1.94 (step @p8461 :rule alpha_equiv :args (@t6483 (@list @t3003) @t3833)) % 1.71/1.94 (step @p8462 :rule nary_cong :premises (@p1601 @p8461) :args (@t6484)) % 1.71/1.94 (step @p8463 :rule quant-miniscope-or :args ((= @t6482 @t6484))) % 1.71/1.94 (step @p8464 :rule trans :premises (@p8463 @p8462)) % 1.71/1.94 (step @p8465 :rule symm :premises (@p8464)) % 1.71/1.94 (step @p8466 :rule cong :premises (@p8465) :args ((forall @t857 (or @t2357 @t6485)))) % 1.71/1.94 (step @p8467 :rule trans :premises (@p8466 @p8460)) % 1.71/1.94 (step @p8468 :rule trans :premises (@p8467 @p8459)) % 1.71/1.94 (step @p8469 :rule refl :args (@t6485)) % 1.71/1.94 (step @p8470 :rule nary_cong :premises (@p1615 @p8469) :args (@t6486)) % 1.71/1.94 (step @p8471 :rule cong :premises (@p8470) :args ((forall @t857 @t6486))) % 1.71/1.94 (step @p8472 :rule trans :premises (@p8471 @p8468)) % 1.71/1.94 (step @p8473 :rule bool-impl-elim :args (@t7 @t6485)) % 1.71/1.94 (step @p8474 :rule cong :premises (@p8473) :args ((forall @t857 (=> @t7 @t6485)))) % 1.71/1.94 (step @p8475 :rule trans :premises (@p8474 @p8472)) % 1.71/1.94 (step @p8476 :rule refl :args (@t2401)) % 1.71/1.94 (step @p8477 :rule nary_cong :premises (@p8476 @p8391 @p8386) :args (@t6487)) % 1.71/1.94 (step @p8478 :rule cong :premises (@p8477) :args ((forall @t70 @t6487))) % 1.71/1.94 (step @p8479 :rule nary_cong :premises (@p3021 @p8421 @p2840) :args (@t6488)) % 1.71/1.94 (step @p8480 :rule cong :premises (@p8479) :args ((forall @t70 @t6488))) % 1.71/1.94 (step @p8481 :rule trans :premises (@p8480 @p8478)) % 1.71/1.94 (step @p8482 :rule aci_norm :args ((= (or @t4584 @t6470) @t6488))) % 1.71/1.94 (step @p8483 :rule nary_cong :premises (@p7523 @p8425) :args ((or @t4584 @t870))) % 1.71/1.94 (step @p8484 :rule trans :premises (@p8483 @p8482)) % 1.71/1.94 (step @p8485 :rule bool-impl-elim :args (@t354 @t870)) % 1.71/1.94 (step @p8486 :rule trans :premises (@p8485 @p8484)) % 1.71/1.94 (step @p8487 :rule cong :premises (@p8486) :args (@t871)) % 1.71/1.94 (step @p8488 :rule trans :premises (@p8487 @p8481)) % 1.71/1.94 (step @p8489 :rule cong :premises (@p1729 @p8488) :args (@t872)) % 1.71/1.94 (step @p8490 :rule cong :premises (@p8489) :args (@t873)) % 1.71/1.94 (step @p8491 :rule trans :premises (@p8490 @p8475)) % 1.71/1.94 (step @p8492 :rule refl :args (tptp.dpsetconstrERa)) % 1.71/1.94 (step @p8493 :rule cong :premises (@p8492 @p8491) :args (@t874)) % 1.71/1.94 (step @p8494 :rule eq_resolve :premises (@p185 @p8493)) % 1.71/1.94 (step @p8495 :rule cong :premises (@p8494 @p8457) :args (@t6489)) % 1.71/1.94 (step @p8496 :rule cong :premises (@p961 @p7194 @p2814) :args (@t6490)) % 1.71/1.94 (step @p8497 :rule cong :premises (@p961 @p7194 @p8496) :args (@t6491)) % 1.71/1.94 (step @p8498 :rule cong :premises (@p8497) :args ((forall @t863 @t6491))) % 1.71/1.94 (step @p8499 :rule refl :args ((tptp.breln @t2 @t1 @t861))) % 1.71/1.94 (step @p8500 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t860))) % 1.71/1.94 (step @p8501 :rule cong :premises (@p973 @p2930 @p2821) :args (@t6490)) % 1.71/1.94 (step @p8502 :rule trans :premises (@p8501 @p8500)) % 1.71/1.94 (step @p8503 :rule cong :premises (@p973 @p2930 @p8502) :args (@t6491)) % 1.71/1.94 (step @p8504 :rule trans :premises (@p8503 @p8499)) % 1.71/1.94 (step @p8505 :rule refl :args (@t866)) % 1.71/1.94 (step @p8506 :rule ho_cong :premises (@p8505 @p8502)) % 1.71/1.94 (step @p8507 :rule cong :premises (@p8506 @p8504) :args ((= (_ @t866 @t6490) @t6491))) % 1.71/1.94 (step @p8508 :rule symm :premises (@p8507)) % 1.71/1.94 (step @p8509 :rule refl :args (@t867)) % 1.71/1.94 (step @p8510 :rule eq_resolve :premises (@p8509 @p8508)) % 1.71/1.94 (step @p8511 :rule ho_cong :premises (@p8167 @p2821)) % 1.71/1.94 (step @p8512 :rule cong :premises (@p8511 @p8502) :args ((= (_ @t851 @t4530) @t6490))) % 1.71/1.94 (step @p8513 :rule symm :premises (@p8512)) % 1.71/1.94 (step @p8514 :rule refl :args (@t861)) % 1.71/1.94 (step @p8515 :rule eq_resolve :premises (@p8514 @p8513)) % 1.71/1.94 (step @p8516 :rule ho_cong :premises (@p8167 @p2841)) % 1.71/1.94 (step @p8517 :rule trans :premises (@p8516 @p8515)) % 1.71/1.94 (step @p8518 :rule ho_cong :premises (@p8505 @p8517)) % 1.71/1.94 (step @p8519 :rule trans :premises (@p8518 @p8510)) % 1.71/1.94 (step @p8520 :rule cong :premises (@p8519) :args (@t868)) % 1.71/1.94 (step @p8521 :rule trans :premises (@p8520 @p8498)) % 1.71/1.94 (step @p8522 :rule refl :args (tptp.setOfPairsIsBReln)) % 1.71/1.94 (step @p8523 :rule cong :premises (@p8522 @p8521) :args (@t869)) % 1.71/1.94 (step @p8524 :rule eq_resolve :premises (@p184 @p8523)) % 1.71/1.94 (step @p8525 :rule cong :premises (@p8524 @p8495) :args (@t6492)) % 1.71/1.94 (step @p8526 :rule refl :args (@t3011)) % 1.71/1.94 (step @p8527 :rule cong :premises (@p8496 @p8526) :args (@t6493)) % 1.71/1.94 (step @p8528 :rule cong :premises (@p8527) :args ((forall @t863 @t6493))) % 1.71/1.94 (step @p8529 :rule refl :args ((tptp.subset @t861 @t675))) % 1.71/1.94 (step @p8530 :rule refl :args (@t3011)) % 1.71/1.94 (step @p8531 :rule cong :premises (@p8502 @p8530) :args (@t6493)) % 1.71/1.94 (step @p8532 :rule trans :premises (@p8531 @p8529)) % 1.71/1.94 (step @p8533 :rule ho_cong :premises (@p3662 @p8502)) % 1.71/1.94 (step @p8534 :rule ho_cong :premises (@p8533 @p8530)) % 1.71/1.94 (step @p8535 :rule cong :premises (@p8534 @p8532) :args ((= (_ (_ tptp.subset @t6490) @t3011) @t6493))) % 1.71/1.94 (step @p8536 :rule symm :premises (@p8535)) % 1.71/1.94 (step @p8537 :rule refl :args (@t862)) % 1.71/1.94 (step @p8538 :rule eq_resolve :premises (@p8537 @p8536)) % 1.71/1.94 (step @p8539 :rule refl :args (@t675)) % 1.71/1.94 (step @p8540 :rule cong :premises (@p8539 @p8530) :args ((= @t675 @t3011))) % 1.71/1.94 (step @p8541 :rule symm :premises (@p8540)) % 1.71/1.94 (step @p8542 :rule eq_resolve :premises (@p8539 @p8541)) % 1.71/1.94 (step @p8543 :rule ho_cong :premises (@p3662 @p8517)) % 1.71/1.94 (step @p8544 :rule ho_cong :premises (@p8543 @p8542)) % 1.71/1.94 (step @p8545 :rule trans :premises (@p8544 @p8538)) % 1.71/1.94 (step @p8546 :rule cong :premises (@p8545) :args (@t864)) % 1.71/1.94 (step @p8547 :rule trans :premises (@p8546 @p8528)) % 1.71/1.94 (step @p8548 :rule refl :args (tptp.dpsetconstrSub)) % 1.71/1.94 (step @p8549 :rule cong :premises (@p8548 @p8547) :args (@t865)) % 1.71/1.94 (step @p8550 :rule eq_resolve :premises (@p183 @p8549)) % 1.71/1.94 (step @p8551 :rule cong :premises (@p8550 @p8525) :args (@t6494)) % 1.71/1.94 (step @p8552 :rule aci_norm :args ((= @t6496 @t3017))) % 1.71/1.94 (step @p8553 :rule cong :premises (@p8552) :args (@t6497)) % 1.71/1.94 (step @p8554 :rule quant-merge-prenex :args ((= (forall @t857 @t6499) @t6497))) % 1.71/1.94 (step @p8555 :rule alpha_equiv :args (@t6500 (@list @t3013) @t3833)) % 1.71/1.94 (step @p8556 :rule nary_cong :premises (@p1601 @p8555) :args (@t6501)) % 1.71/1.94 (step @p8557 :rule quant-miniscope-or :args ((= @t6499 @t6501))) % 1.71/1.94 (step @p8558 :rule trans :premises (@p8557 @p8556)) % 1.71/1.94 (step @p8559 :rule symm :premises (@p8558)) % 1.71/1.94 (step @p8560 :rule cong :premises (@p8559) :args ((forall @t857 (or @t2357 @t6502)))) % 1.71/1.94 (step @p8561 :rule trans :premises (@p8560 @p8554)) % 1.71/1.94 (step @p8562 :rule trans :premises (@p8561 @p8553)) % 1.71/1.94 (step @p8563 :rule refl :args (@t6502)) % 1.71/1.94 (step @p8564 :rule nary_cong :premises (@p1615 @p8563) :args (@t6503)) % 1.71/1.94 (step @p8565 :rule cong :premises (@p8564) :args ((forall @t857 @t6503))) % 1.71/1.94 (step @p8566 :rule trans :premises (@p8565 @p8562)) % 1.71/1.94 (step @p8567 :rule bool-impl-elim :args (@t7 @t6502)) % 1.71/1.94 (step @p8568 :rule cong :premises (@p8567) :args ((forall @t857 (=> @t7 @t6502)))) % 1.71/1.94 (step @p8569 :rule trans :premises (@p8568 @p8566)) % 1.71/1.94 (step @p8570 :rule refl :args (@t2399)) % 1.71/1.94 (step @p8571 :rule nary_cong :premises (@p8476 @p8570 @p8390) :args (@t6504)) % 1.71/1.94 (step @p8572 :rule cong :premises (@p8571) :args ((forall @t70 @t6504))) % 1.71/1.94 (step @p8573 :rule nary_cong :premises (@p3021 @p3015 @p8420) :args (@t6505)) % 1.71/1.94 (step @p8574 :rule cong :premises (@p8573) :args ((forall @t70 @t6505))) % 1.71/1.94 (step @p8575 :rule trans :premises (@p8574 @p8572)) % 1.71/1.94 (step @p8576 :rule aci_norm :args ((= (or @t4584 (or @t4583 @t853)) @t6505))) % 1.71/1.94 (step @p8577 :rule bool-impl-elim :args (@t76 @t853)) % 1.71/1.94 (step @p8578 :rule nary_cong :premises (@p7523 @p8577) :args ((or @t4584 @t854))) % 1.71/1.94 (step @p8579 :rule trans :premises (@p8578 @p8576)) % 1.71/1.94 (step @p8580 :rule bool-impl-elim :args (@t354 @t854)) % 1.71/1.94 (step @p8581 :rule trans :premises (@p8580 @p8579)) % 1.71/1.94 (step @p8582 :rule cong :premises (@p8581) :args (@t855)) % 1.71/1.94 (step @p8583 :rule trans :premises (@p8582 @p8575)) % 1.71/1.94 (step @p8584 :rule cong :premises (@p1729 @p8583) :args (@t856)) % 1.71/1.94 (step @p8585 :rule cong :premises (@p8584) :args (@t858)) % 1.71/1.94 (step @p8586 :rule trans :premises (@p8585 @p8569)) % 1.71/1.94 (step @p8587 :rule refl :args (tptp.dpsetconstrI)) % 1.71/1.94 (step @p8588 :rule cong :premises (@p8587 @p8586) :args (@t859)) % 1.71/1.94 (step @p8589 :rule eq_resolve :premises (@p182 @p8588)) % 1.71/1.94 (step @p8590 :rule cong :premises (@p8589 @p8551) :args (@t6506)) % 1.71/1.94 (step @p8591 :rule refl :args ((tptp.kpair @t769 @t816))) % 1.71/1.94 (step @p8592 :rule refl :args (@t3020)) % 1.71/1.94 (step @p8593 :rule refl :args (@t3021)) % 1.71/1.94 (step @p8594 :rule cong :premises (@p8593 @p8592) :args (@t3022)) % 1.71/1.94 (step @p8595 :rule trans :premises (@p8594 @p8591)) % 1.71/1.94 (step @p8596 :rule refl :args (tptp.kpair)) % 1.71/1.94 (step @p8597 :rule ho_cong :premises (@p8596 @p8593)) % 1.71/1.94 (step @p8598 :rule ho_cong :premises (@p8597 @p8592)) % 1.71/1.94 (step @p8599 :rule cong :premises (@p8598 @p8595) :args ((= (_ @t6507 @t3020) @t3022))) % 1.71/1.94 (step @p8600 :rule symm :premises (@p8599)) % 1.71/1.94 (step @p8601 :rule refl :args (@t817)) % 1.71/1.94 (step @p8602 :rule eq_resolve :premises (@p8601 @p8600)) % 1.71/1.94 (step @p8603 :rule refl :args (@t816)) % 1.71/1.94 (step @p8604 :rule cong :premises (@p8603 @p8592) :args ((= @t816 @t3020))) % 1.71/1.94 (step @p8605 :rule symm :premises (@p8604)) % 1.71/1.94 (step @p8606 :rule eq_resolve :premises (@p8603 @p8605)) % 1.71/1.94 (step @p8607 :rule refl :args (@t769)) % 1.71/1.94 (step @p8608 :rule cong :premises (@p8607 @p8593) :args ((= @t769 @t3021))) % 1.71/1.94 (step @p8609 :rule symm :premises (@p8608)) % 1.71/1.94 (step @p8610 :rule eq_resolve :premises (@p8607 @p8609)) % 1.71/1.94 (step @p8611 :rule ho_cong :premises (@p8596 @p8610)) % 1.71/1.94 (step @p8612 :rule ho_cong :premises (@p8611 @p8606)) % 1.71/1.94 (step @p8613 :rule trans :premises (@p8612 @p8602)) % 1.71/1.94 (step @p8614 :rule refl :args (@t383)) % 1.71/1.94 (step @p8615 :rule cong :premises (@p8614 @p8613) :args (@t6508)) % 1.71/1.94 (step @p8616 :rule refl :args ((tptp.in @t383 @t675))) % 1.71/1.94 (step @p8617 :rule cong :premises (@p8614 @p8530) :args (@t3024)) % 1.71/1.94 (step @p8618 :rule trans :premises (@p8617 @p8616)) % 1.71/1.94 (step @p8619 :rule refl :args (@t686)) % 1.71/1.94 (step @p8620 :rule ho_cong :premises (@p8619 @p8530)) % 1.71/1.94 (step @p8621 :rule cong :premises (@p8620 @p8618) :args ((= (_ @t686 @t3011) @t3024))) % 1.71/1.94 (step @p8622 :rule symm :premises (@p8621)) % 1.71/1.94 (step @p8623 :rule refl :args (@t687)) % 1.71/1.94 (step @p8624 :rule eq_resolve :premises (@p8623 @p8622)) % 1.71/1.94 (step @p8625 :rule ho_cong :premises (@p8619 @p8542)) % 1.71/1.94 (step @p8626 :rule trans :premises (@p8625 @p8624)) % 1.71/1.94 (step @p8627 :rule cong :premises (@p8626) :args (@t6509)) % 1.71/1.94 (step @p8628 :rule nary_cong :premises (@p8627 @p8615) :args (@t6510)) % 1.71/1.94 (step @p8629 :rule cong :premises (@p8628) :args ((forall @t689 @t6510))) % 1.71/1.94 (step @p8630 :rule bool-impl-elim :args (@t687 @t6508)) % 1.71/1.94 (step @p8631 :rule cong :premises (@p8630) :args ((forall @t689 (=> @t687 @t6508)))) % 1.71/1.94 (step @p8632 :rule trans :premises (@p8631 @p8629)) % 1.71/1.94 (step @p8633 :rule eq-symm :args (@t817 @t383)) % 1.71/1.94 (step @p8634 :rule refl :args (@t687)) % 1.71/1.94 (step @p8635 :rule cong :premises (@p8634 @p8633) :args (@t845)) % 1.71/1.94 (step @p8636 :rule cong :premises (@p8635) :args (@t846)) % 1.71/1.94 (step @p8637 :rule trans :premises (@p8636 @p8632)) % 1.71/1.94 (step @p8638 :rule refl :args (tptp.cartprodpairsurjEq)) % 1.71/1.94 (step @p8639 :rule cong :premises (@p8638 @p8637) :args (@t847)) % 1.71/1.94 (step @p8640 :rule eq_resolve :premises (@p181 @p8639)) % 1.71/1.94 (step @p8641 :rule cong :premises (@p8640 @p8590) :args (@t6511)) % 1.71/1.94 (step @p8642 :rule aci_norm :args ((= @t6513 @t3030))) % 1.71/1.94 (step @p8643 :rule cong :premises (@p8642) :args (@t6514)) % 1.71/1.94 (step @p8644 :rule quant-merge-prenex :args ((= (forall @t245 @t6516) @t6514))) % 1.71/1.94 (step @p8645 :rule alpha_equiv :args (@t6517 (@list @t3027) @t3833)) % 1.71/1.94 (step @p8646 :rule nary_cong :premises (@p1601 @p8645) :args (@t6518)) % 1.71/1.94 (step @p8647 :rule quant-miniscope-or :args ((= @t6516 @t6518))) % 1.71/1.94 (step @p8648 :rule trans :premises (@p8647 @p8646)) % 1.71/1.94 (step @p8649 :rule symm :premises (@p8648)) % 1.71/1.94 (step @p8650 :rule cong :premises (@p8649) :args ((forall @t245 (or @t2357 @t6519)))) % 1.71/1.94 (step @p8651 :rule trans :premises (@p8650 @p8644)) % 1.71/1.94 (step @p8652 :rule trans :premises (@p8651 @p8643)) % 1.71/1.94 (step @p8653 :rule refl :args (@t6519)) % 1.71/1.94 (step @p8654 :rule nary_cong :premises (@p1615 @p8653) :args (@t6520)) % 1.71/1.94 (step @p8655 :rule cong :premises (@p8654) :args ((forall @t245 @t6520))) % 1.71/1.94 (step @p8656 :rule trans :premises (@p8655 @p8652)) % 1.71/1.94 (step @p8657 :rule bool-impl-elim :args (@t7 @t6519)) % 1.71/1.94 (step @p8658 :rule cong :premises (@p8657) :args ((forall @t245 (=> @t7 @t6519)))) % 1.71/1.94 (step @p8659 :rule trans :premises (@p8658 @p8656)) % 1.71/1.94 (step @p8660 :rule refl :args ((tptp.ksnd @t633))) % 1.71/1.94 (step @p8661 :rule cong :premises (@p1625) :args (@t3048)) % 1.71/1.94 (step @p8662 :rule trans :premises (@p8661 @p8660)) % 1.71/1.94 (step @p8663 :rule refl :args (tptp.ksnd)) % 1.71/1.94 (step @p8664 :rule ho_cong :premises (@p8663 @p1625)) % 1.71/1.94 (step @p8665 :rule cong :premises (@p8664 @p8662) :args ((= (_ tptp.ksnd @t2997) @t3048))) % 1.71/1.94 (step @p8666 :rule symm :premises (@p8665)) % 1.71/1.94 (step @p8667 :rule refl :args (@t812)) % 1.71/1.94 (step @p8668 :rule eq_resolve :premises (@p8667 @p8666)) % 1.71/1.94 (step @p8669 :rule ho_cong :premises (@p8663 @p1638)) % 1.71/1.94 (step @p8670 :rule trans :premises (@p8669 @p8668)) % 1.71/1.94 (step @p8671 :rule cong :premises (@p1104 @p8670) :args (@t6521)) % 1.71/1.94 (step @p8672 :rule nary_cong :premises (@p3021 @p8671) :args (@t6522)) % 1.71/1.94 (step @p8673 :rule cong :premises (@p8672) :args ((forall @t70 @t6522))) % 1.71/1.94 (step @p8674 :rule bool-impl-elim :args (@t354 @t6521)) % 1.71/1.94 (step @p8675 :rule cong :premises (@p8674) :args ((forall @t70 (=> @t354 @t6521)))) % 1.71/1.94 (step @p8676 :rule trans :premises (@p8675 @p8673)) % 1.71/1.94 (step @p8677 :rule eq-symm :args (@t812 @t19)) % 1.71/1.94 (step @p8678 :rule cong :premises (@p7689 @p8677) :args (@t840)) % 1.71/1.94 (step @p8679 :rule cong :premises (@p8678) :args (@t841)) % 1.71/1.94 (step @p8680 :rule trans :premises (@p8679 @p8676)) % 1.71/1.94 (step @p8681 :rule cong :premises (@p1729 @p8680) :args (@t842)) % 1.71/1.94 (step @p8682 :rule cong :premises (@p8681) :args (@t843)) % 1.71/1.94 (step @p8683 :rule trans :premises (@p8682 @p8659)) % 1.71/1.94 (step @p8684 :rule refl :args (tptp.cartprodsndpairEq)) % 1.71/1.94 (step @p8685 :rule cong :premises (@p8684 @p8683) :args (@t844)) % 1.71/1.94 (step @p8686 :rule eq_resolve :premises (@p180 @p8685)) % 1.71/1.94 (step @p8687 :rule cong :premises (@p8686 @p8641) :args (@t6523)) % 1.71/1.94 (step @p8688 :rule aci_norm :args ((= @t6525 @t3036))) % 1.71/1.94 (step @p8689 :rule cong :premises (@p8688) :args (@t6526)) % 1.71/1.94 (step @p8690 :rule quant-merge-prenex :args ((= (forall @t245 @t6528) @t6526))) % 1.71/1.94 (step @p8691 :rule alpha_equiv :args (@t6529 (@list @t3033) @t3833)) % 1.71/1.94 (step @p8692 :rule nary_cong :premises (@p1601 @p8691) :args (@t6530)) % 1.71/1.94 (step @p8693 :rule quant-miniscope-or :args ((= @t6528 @t6530))) % 1.71/1.94 (step @p8694 :rule trans :premises (@p8693 @p8692)) % 1.71/1.94 (step @p8695 :rule symm :premises (@p8694)) % 1.71/1.94 (step @p8696 :rule cong :premises (@p8695) :args ((forall @t245 (or @t2357 @t6531)))) % 1.71/1.94 (step @p8697 :rule trans :premises (@p8696 @p8690)) % 1.71/1.94 (step @p8698 :rule trans :premises (@p8697 @p8689)) % 1.71/1.94 (step @p8699 :rule refl :args (@t6531)) % 1.71/1.94 (step @p8700 :rule nary_cong :premises (@p1615 @p8699) :args (@t6532)) % 1.71/1.94 (step @p8701 :rule cong :premises (@p8700) :args ((forall @t245 @t6532))) % 1.71/1.94 (step @p8702 :rule trans :premises (@p8701 @p8698)) % 1.71/1.94 (step @p8703 :rule bool-impl-elim :args (@t7 @t6531)) % 1.71/1.94 (step @p8704 :rule cong :premises (@p8703) :args ((forall @t245 (=> @t7 @t6531)))) % 1.71/1.94 (step @p8705 :rule trans :premises (@p8704 @p8702)) % 1.71/1.94 (step @p8706 :rule refl :args ((tptp.kfst @t633))) % 1.71/1.94 (step @p8707 :rule cong :premises (@p1625) :args (@t3086)) % 1.71/1.94 (step @p8708 :rule trans :premises (@p8707 @p8706)) % 1.71/1.94 (step @p8709 :rule refl :args (tptp.kfst)) % 1.71/1.94 (step @p8710 :rule ho_cong :premises (@p8709 @p1625)) % 1.71/1.94 (step @p8711 :rule cong :premises (@p8710 @p8708) :args ((= (_ tptp.kfst @t2997) @t3086))) % 1.71/1.94 (step @p8712 :rule symm :premises (@p8711)) % 1.71/1.94 (step @p8713 :rule refl :args (@t765)) % 1.71/1.94 (step @p8714 :rule eq_resolve :premises (@p8713 @p8712)) % 1.71/1.94 (step @p8715 :rule ho_cong :premises (@p8709 @p1638)) % 1.71/1.94 (step @p8716 :rule trans :premises (@p8715 @p8714)) % 1.71/1.94 (step @p8717 :rule cong :premises (@p976 @p8716) :args (@t6533)) % 1.71/1.94 (step @p8718 :rule nary_cong :premises (@p3021 @p8717) :args (@t6534)) % 1.71/1.94 (step @p8719 :rule cong :premises (@p8718) :args ((forall @t70 @t6534))) % 1.71/1.94 (step @p8720 :rule bool-impl-elim :args (@t354 @t6533)) % 1.71/1.94 (step @p8721 :rule cong :premises (@p8720) :args ((forall @t70 (=> @t354 @t6533)))) % 1.71/1.94 (step @p8722 :rule trans :premises (@p8721 @p8719)) % 1.71/1.94 (step @p8723 :rule eq-symm :args (@t765 @t4)) % 1.71/1.94 (step @p8724 :rule cong :premises (@p7689 @p8723) :args (@t835)) % 1.71/1.94 (step @p8725 :rule cong :premises (@p8724) :args (@t836)) % 1.71/1.94 (step @p8726 :rule trans :premises (@p8725 @p8722)) % 1.71/1.94 (step @p8727 :rule cong :premises (@p1729 @p8726) :args (@t837)) % 1.71/1.94 (step @p8728 :rule cong :premises (@p8727) :args (@t838)) % 1.71/1.94 (step @p8729 :rule trans :premises (@p8728 @p8705)) % 1.71/1.94 (step @p8730 :rule refl :args (tptp.cartprodfstpairEq)) % 1.71/1.94 (step @p8731 :rule cong :premises (@p8730 @p8729) :args (@t839)) % 1.71/1.94 (step @p8732 :rule eq_resolve :premises (@p179 @p8731)) % 1.71/1.94 (step @p8733 :rule cong :premises (@p8732 @p8687) :args (@t6535)) % 1.71/1.94 (step @p8734 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 1.71/1.94 (step @p8735 :rule symm :premises (@p8734)) % 1.71/1.94 (step @p8736 :rule quant-unused-vars :args ((= (forall @t245 true) true))) % 1.71/1.94 (step @p8737 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 1.71/1.94 (step @p8738 :rule bool-impl-true1 :args (@t354)) % 1.71/1.94 (step @p8739 :rule eq-refl :args (@t633)) % 1.71/1.94 (step @p8740 :rule cong :premises (@p7689 @p8739) :args (@t830)) % 1.71/1.94 (step @p8741 :rule trans :premises (@p8740 @p8738)) % 1.71/1.94 (step @p8742 :rule cong :premises (@p8741) :args (@t831)) % 1.71/1.94 (step @p8743 :rule trans :premises (@p8742 @p8737)) % 1.71/1.94 (step @p8744 :rule cong :premises (@p1729 @p8743) :args (@t832)) % 1.71/1.94 (step @p8745 :rule trans :premises (@p8744 @p7309)) % 1.71/1.94 (step @p8746 :rule cong :premises (@p8745) :args (@t833)) % 1.71/1.94 (step @p8747 :rule trans :premises (@p8746 @p8736)) % 1.71/1.94 (step @p8748 :rule refl :args (tptp.cartprodmempaircEq)) % 1.71/1.94 (step @p8749 :rule cong :premises (@p8748 @p8747) :args (@t834)) % 1.71/1.94 (step @p8750 :rule trans :premises (@p8749 @p8734)) % 1.71/1.94 (step @p8751 :rule eq_resolve :premises (@p178 @p8750)) % 1.71/1.94 (step @p8752 :rule eq_resolve :premises (@p8751 @p8735)) % 1.71/1.94 (step @p8753 :rule cong :premises (@p8752 @p8733) :args (@t6536)) % 1.71/1.94 (step @p8754 :rule refl :args ((tptp.in @t633 @t675))) % 1.71/1.94 (step @p8755 :rule cong :premises (@p1625 @p8530) :args (@t3039)) % 1.71/1.94 (step @p8756 :rule trans :premises (@p8755 @p8754)) % 1.71/1.94 (step @p8757 :rule ho_cong :premises (@p1629 @p8530)) % 1.71/1.94 (step @p8758 :rule cong :premises (@p8757 @p8756) :args ((= (_ @t4048 @t3011) @t3039))) % 1.71/1.94 (step @p8759 :rule symm :premises (@p8758)) % 1.71/1.94 (step @p8760 :rule refl :args (@t676)) % 1.71/1.94 (step @p8761 :rule eq_resolve :premises (@p8760 @p8759)) % 1.71/1.94 (step @p8762 :rule ho_cong :premises (@p1639 @p8542)) % 1.71/1.94 (step @p8763 :rule trans :premises (@p8762 @p8761)) % 1.71/1.94 (step @p8764 :rule cong :premises (@p8763) :args (@t6537)) % 1.71/1.94 (step @p8765 :rule nary_cong :premises (@p8764 @p3020) :args (@t6538)) % 1.71/1.94 (step @p8766 :rule cong :premises (@p8765) :args ((forall @t825 @t6538))) % 1.71/1.94 (step @p8767 :rule bool-impl-elim :args (@t676 @t354)) % 1.71/1.94 (step @p8768 :rule cong :premises (@p8767) :args (@t828)) % 1.71/1.94 (step @p8769 :rule trans :premises (@p8768 @p8766)) % 1.71/1.94 (step @p8770 :rule refl :args (tptp.cartprodpairmemER)) % 1.71/1.94 (step @p8771 :rule cong :premises (@p8770 @p8769) :args (@t829)) % 1.71/1.94 (step @p8772 :rule eq_resolve :premises (@p177 @p8771)) % 1.71/1.94 (step @p8773 :rule cong :premises (@p8772 @p8753) :args (@t6539)) % 1.71/1.94 (step @p8774 :rule nary_cong :premises (@p8764 @p1614) :args (@t6540)) % 1.71/1.94 (step @p8775 :rule cong :premises (@p8774) :args ((forall @t825 @t6540))) % 1.71/1.94 (step @p8776 :rule bool-impl-elim :args (@t676 @t7)) % 1.71/1.94 (step @p8777 :rule cong :premises (@p8776) :args (@t826)) % 1.71/1.94 (step @p8778 :rule trans :premises (@p8777 @p8775)) % 1.71/1.94 (step @p8779 :rule refl :args (tptp.cartprodpairmemEL)) % 1.71/1.94 (step @p8780 :rule cong :premises (@p8779 @p8778) :args (@t827)) % 1.71/1.94 (step @p8781 :rule eq_resolve :premises (@p176 @p8780)) % 1.71/1.94 (step @p8782 :rule cong :premises (@p8781 @p8773) :args (@t6541)) % 1.71/1.94 (step @p8783 :rule refl :args ((tptp.in @t816 @t1))) % 1.71/1.94 (step @p8784 :rule cong :premises (@p8592 @p2930) :args (@t3043)) % 1.71/1.94 (step @p8785 :rule trans :premises (@p8784 @p8783)) % 1.71/1.94 (step @p8786 :rule ho_cong :premises (@p1628 @p8592)) % 1.71/1.94 (step @p8787 :rule ho_cong :premises (@p8786 @p2930)) % 1.71/1.94 (step @p8788 :rule cong :premises (@p8787 @p8785) :args ((= (_ (_ tptp.in @t3020) @t1) @t3043))) % 1.71/1.94 (step @p8789 :rule symm :premises (@p8788)) % 1.71/1.94 (step @p8790 :rule refl :args (@t822)) % 1.71/1.94 (step @p8791 :rule eq_resolve :premises (@p8790 @p8789)) % 1.71/1.94 (step @p8792 :rule ho_cong :premises (@p1628 @p8606)) % 1.71/1.94 (step @p8793 :rule ho_cong :premises (@p8792 @p2930)) % 1.71/1.94 (step @p8794 :rule trans :premises (@p8793 @p8791)) % 1.71/1.94 (step @p8795 :rule nary_cong :premises (@p8627 @p8794) :args (@t6542)) % 1.71/1.94 (step @p8796 :rule cong :premises (@p8795) :args ((forall @t689 @t6542))) % 1.71/1.94 (step @p8797 :rule bool-impl-elim :args (@t687 @t822)) % 1.71/1.94 (step @p8798 :rule cong :premises (@p8797) :args (@t823)) % 1.71/1.94 (step @p8799 :rule trans :premises (@p8798 @p8796)) % 1.71/1.94 (step @p8800 :rule refl :args (tptp.cartprodsndin)) % 1.71/1.94 (step @p8801 :rule cong :premises (@p8800 @p8799) :args (@t824)) % 1.71/1.94 (step @p8802 :rule eq_resolve :premises (@p175 @p8801)) % 1.71/1.94 (step @p8803 :rule cong :premises (@p8802 @p8782) :args (@t6543)) % 1.71/1.94 (step @p8804 :rule refl :args (@t3045)) % 1.71/1.94 (step @p8805 :rule refl :args (@t692)) % 1.71/1.94 (step @p8806 :rule cong :premises (@p8805 @p8804) :args ((= @t692 @t3045))) % 1.71/1.94 (step @p8807 :rule symm :premises (@p8806)) % 1.71/1.94 (step @p8808 :rule eq_resolve :premises (@p8805 @p8807)) % 1.71/1.94 (step @p8809 :rule cong :premises (@p8808) :args (@t6544)) % 1.71/1.94 (step @p8810 :rule nary_cong :premises (@p8809 @p8615) :args (@t6545)) % 1.71/1.94 (step @p8811 :rule cong :premises (@p8810) :args ((forall @t757 @t6545))) % 1.71/1.94 (step @p8812 :rule bool-impl-elim :args (@t692 @t6508)) % 1.71/1.94 (step @p8813 :rule cong :premises (@p8812) :args ((forall @t757 (=> @t692 @t6508)))) % 1.71/1.94 (step @p8814 :rule trans :premises (@p8813 @p8811)) % 1.71/1.94 (step @p8815 :rule refl :args (@t692)) % 1.71/1.94 (step @p8816 :rule cong :premises (@p8815 @p8633) :args (@t819)) % 1.71/1.94 (step @p8817 :rule cong :premises (@p8816) :args (@t820)) % 1.71/1.94 (step @p8818 :rule trans :premises (@p8817 @p8814)) % 1.71/1.94 (step @p8819 :rule refl :args (tptp.kpairsurjEq)) % 1.71/1.94 (step @p8820 :rule cong :premises (@p8819 @p8818) :args (@t821)) % 1.71/1.94 (step @p8821 :rule eq_resolve :premises (@p174 @p8820)) % 1.71/1.94 (step @p8822 :rule cong :premises (@p8821 @p8803) :args (@t6546)) % 1.71/1.94 (step @p8823 :rule cong :premises (@p8671) :args ((forall @t135 @t6521))) % 1.71/1.94 (step @p8824 :rule cong :premises (@p8677) :args (@t814)) % 1.71/1.94 (step @p8825 :rule trans :premises (@p8824 @p8823)) % 1.71/1.94 (step @p8826 :rule refl :args (tptp.ksndpairEq)) % 1.71/1.94 (step @p8827 :rule cong :premises (@p8826 @p8825) :args (@t815)) % 1.71/1.94 (step @p8828 :rule eq_resolve :premises (@p173 @p8827)) % 1.71/1.94 (step @p8829 :rule cong :premises (@p8828 @p8822) :args (@t6547)) % 1.71/1.94 (step @p8830 :rule refl :args ((tptp.singleton @t808))) % 1.71/1.94 (step @p8831 :rule refl :args ((tptp.dsetconstr @t753 @t807))) % 1.71/1.94 (step @p8832 :rule refl :args ((tptp.kpair @t769 @t4))) % 1.71/1.94 (step @p8833 :rule cong :premises (@p8593 @p976) :args (@t3051)) % 1.71/1.94 (step @p8834 :rule trans :premises (@p8833 @p8832)) % 1.71/1.94 (step @p8835 :rule cong :premises (@p8614 @p8834) :args (@t3052)) % 1.71/1.94 (step @p8836 :rule cong :premises (@p8835) :args (@t3053)) % 1.71/1.94 (step @p8837 :rule refl :args (@t3054)) % 1.71/1.94 (step @p8838 :rule cong :premises (@p8837 @p8836) :args (@t3055)) % 1.71/1.94 (step @p8839 :rule trans :premises (@p8838 @p8831)) % 1.71/1.94 (step @p8840 :rule cong :premises (@p8839) :args (@t3056)) % 1.71/1.94 (step @p8841 :rule trans :premises (@p8840 @p8830)) % 1.71/1.94 (step @p8842 :rule ho_cong :premises (@p2935 @p8839)) % 1.71/1.94 (step @p8843 :rule cong :premises (@p8842 @p8841) :args ((= (_ tptp.singleton @t3055) @t3056))) % 1.71/1.94 (step @p8844 :rule symm :premises (@p8843)) % 1.71/1.94 (step @p8845 :rule refl :args (@t809)) % 1.71/1.94 (step @p8846 :rule eq_resolve :premises (@p8845 @p8844)) % 1.71/1.94 (step @p8847 :rule refl :args (tptp.dsetconstr)) % 1.71/1.94 (step @p8848 :rule ho_cong :premises (@p8847 @p8837)) % 1.71/1.94 (step @p8849 :rule ho_cong :premises (@p8848 @p8836)) % 1.71/1.94 (step @p8850 :rule cong :premises (@p8849 @p8839) :args ((= (_ @t6548 @t3053) @t3055))) % 1.71/1.94 (step @p8851 :rule symm :premises (@p8850)) % 1.71/1.94 (step @p8852 :rule refl :args (@t808)) % 1.71/1.94 (step @p8853 :rule eq_resolve :premises (@p8852 @p8851)) % 1.71/1.94 (step @p8854 :rule ho_cong :premises (@p8597 @p976)) % 1.71/1.94 (step @p8855 :rule cong :premises (@p8854 @p8834) :args ((= (_ @t6507 @t4) @t3051))) % 1.71/1.94 (step @p8856 :rule symm :premises (@p8855)) % 1.71/1.94 (step @p8857 :rule refl :args (@t805)) % 1.71/1.94 (step @p8858 :rule eq_resolve :premises (@p8857 @p8856)) % 1.71/1.94 (step @p8859 :rule ho_cong :premises (@p8611 @p976)) % 1.71/1.94 (step @p8860 :rule trans :premises (@p8859 @p8858)) % 1.71/1.94 (step @p8861 :rule cong :premises (@p8614 @p8860) :args (@t806)) % 1.71/1.94 (step @p8862 :rule cong :premises (@p8861) :args (@t807)) % 1.71/1.95 (step @p8863 :rule refl :args (@t753)) % 1.71/1.95 (step @p8864 :rule cong :premises (@p8863 @p8837) :args ((= @t753 @t3054))) % 1.71/1.95 (step @p8865 :rule symm :premises (@p8864)) % 1.71/1.95 (step @p8866 :rule eq_resolve :premises (@p8863 @p8865)) % 1.71/1.95 (step @p8867 :rule ho_cong :premises (@p8847 @p8866)) % 1.71/1.95 (step @p8868 :rule ho_cong :premises (@p8867 @p8862)) % 1.71/1.95 (step @p8869 :rule trans :premises (@p8868 @p8853)) % 1.71/1.95 (step @p8870 :rule ho_cong :premises (@p2935 @p8869)) % 1.71/1.95 (step @p8871 :rule trans :premises (@p8870 @p8846)) % 1.71/1.95 (step @p8872 :rule nary_cong :premises (@p8809 @p8871) :args (@t6549)) % 1.71/1.95 (step @p8873 :rule cong :premises (@p8872) :args ((forall @t757 @t6549))) % 1.71/1.95 (step @p8874 :rule bool-impl-elim :args (@t692 @t809)) % 1.71/1.95 (step @p8875 :rule cong :premises (@p8874) :args (@t810)) % 1.71/1.95 (step @p8876 :rule trans :premises (@p8875 @p8873)) % 1.71/1.95 (step @p8877 :rule refl :args (tptp.ksndsingleton)) % 1.71/1.95 (step @p8878 :rule cong :premises (@p8877 @p8876) :args (@t811)) % 1.71/1.95 (step @p8879 :rule eq_resolve :premises (@p172 @p8878)) % 1.71/1.95 (step @p8880 :rule cong :premises (@p8879 @p8829) :args (@t6550)) % 1.71/1.95 (step @p8881 :rule refl :args (@t793)) % 1.71/1.95 (step @p8882 :rule refl :args (@t3058)) % 1.71/1.95 (step @p8883 :rule refl :args (@t782)) % 1.71/1.95 (step @p8884 :rule cong :premises (@p8883 @p8882) :args ((= @t782 @t3058))) % 1.71/1.95 (step @p8885 :rule symm :premises (@p8884)) % 1.71/1.95 (step @p8886 :rule eq_resolve :premises (@p8883 @p8885)) % 1.71/1.95 (step @p8887 :rule cong :premises (@p1638 @p8886) :args (@t783)) % 1.71/1.95 (step @p8888 :rule cong :premises (@p8887) :args (@t6551)) % 1.71/1.95 (step @p8889 :rule nary_cong :premises (@p8888 @p8881) :args (@t6552)) % 1.71/1.95 (step @p8890 :rule cong :premises (@p8889) :args ((forall @t778 @t6552))) % 1.71/1.95 (step @p8891 :rule bool-impl-elim :args (@t783 @t793)) % 1.71/1.95 (step @p8892 :rule cong :premises (@p8891) :args (@t802)) % 1.71/1.95 (step @p8893 :rule trans :premises (@p8892 @p8890)) % 1.71/1.95 (step @p8894 :rule refl :args (tptp.setukpairinjR)) % 1.71/1.95 (step @p8895 :rule cong :premises (@p8894 @p8893) :args (@t803)) % 1.71/1.95 (step @p8896 :rule eq_resolve :premises (@p171 @p8895)) % 1.71/1.95 (step @p8897 :rule cong :premises (@p8896 @p8880) :args (@t6553)) % 1.71/1.95 (step @p8898 :rule refl :args ((tptp.setadjoin @t747 @t775))) % 1.71/1.95 (step @p8899 :rule refl :args ((tptp.setadjoin @t774 tptp.emptyset))) % 1.71/1.95 (step @p8900 :rule refl :args ((tptp.setadjoin @t289 @t773))) % 1.71/1.95 (step @p8901 :rule refl :args (@t3061)) % 1.71/1.95 (step @p8902 :rule refl :args (@t289)) % 1.71/1.95 (step @p8903 :rule cong :premises (@p8902 @p8901) :args (@t3062)) % 1.71/1.95 (step @p8904 :rule trans :premises (@p8903 @p8900)) % 1.71/1.95 (step @p8905 :rule cong :premises (@p8904 @p377) :args (@t3063)) % 1.71/1.95 (step @p8906 :rule trans :premises (@p8905 @p8899)) % 1.71/1.95 (step @p8907 :rule refl :args (@t3064)) % 1.71/1.95 (step @p8908 :rule cong :premises (@p8907 @p8906) :args (@t3065)) % 1.71/1.95 (step @p8909 :rule trans :premises (@p8908 @p8898)) % 1.71/1.95 (step @p8910 :rule refl :args (tptp.setadjoin)) % 1.71/1.95 (step @p8911 :rule ho_cong :premises (@p8910 @p8907)) % 1.71/1.95 (step @p8912 :rule ho_cong :premises (@p8911 @p8906)) % 1.71/1.95 (step @p8913 :rule cong :premises (@p8912 @p8909) :args ((= (_ (_ tptp.setadjoin @t3064) @t3063) @t3065))) % 1.71/1.95 (step @p8914 :rule symm :premises (@p8913)) % 1.71/1.95 (step @p8915 :rule refl :args (@t776)) % 1.71/1.95 (step @p8916 :rule eq_resolve :premises (@p8915 @p8914)) % 1.71/1.95 (step @p8917 :rule ho_cong :premises (@p8910 @p8904)) % 1.71/1.95 (step @p8918 :rule ho_cong :premises (@p8917 @p377)) % 1.71/1.95 (step @p8919 :rule cong :premises (@p8918 @p8906) :args ((= (_ (_ tptp.setadjoin @t3062) tptp.emptyset) @t3063))) % 1.71/1.95 (step @p8920 :rule symm :premises (@p8919)) % 1.71/1.95 (step @p8921 :rule refl :args (@t775)) % 1.71/1.95 (step @p8922 :rule eq_resolve :premises (@p8921 @p8920)) % 1.71/1.95 (step @p8923 :rule refl :args (@t746)) % 1.71/1.95 (step @p8924 :rule ho_cong :premises (@p8923 @p8901)) % 1.71/1.95 (step @p8925 :rule cong :premises (@p8924 @p8904) :args ((= (_ @t746 @t3061) @t3062))) % 1.71/1.95 (step @p8926 :rule symm :premises (@p8925)) % 1.71/1.95 (step @p8927 :rule refl :args (@t774)) % 1.71/1.95 (step @p8928 :rule eq_resolve :premises (@p8927 @p8926)) % 1.71/1.95 (step @p8929 :rule refl :args (@t773)) % 1.71/1.95 (step @p8930 :rule cong :premises (@p8929 @p8901) :args ((= @t773 @t3061))) % 1.71/1.95 (step @p8931 :rule symm :premises (@p8930)) % 1.71/1.95 (step @p8932 :rule eq_resolve :premises (@p8929 @p8931)) % 1.71/1.95 (step @p8933 :rule ho_cong :premises (@p8923 @p8932)) % 1.71/1.95 (step @p8934 :rule trans :premises (@p8933 @p8928)) % 1.71/1.95 (step @p8935 :rule ho_cong :premises (@p8910 @p8934)) % 1.71/1.95 (step @p8936 :rule ho_cong :premises (@p8935 @p377)) % 1.71/1.95 (step @p8937 :rule trans :premises (@p8936 @p8922)) % 1.71/1.95 (step @p8938 :rule refl :args (@t747)) % 1.71/1.95 (step @p8939 :rule cong :premises (@p8938 @p8907) :args ((= @t747 @t3064))) % 1.71/1.95 (step @p8940 :rule symm :premises (@p8939)) % 1.71/1.95 (step @p8941 :rule eq_resolve :premises (@p8938 @p8940)) % 1.71/1.95 (step @p8942 :rule ho_cong :premises (@p8910 @p8941)) % 1.71/1.95 (step @p8943 :rule ho_cong :premises (@p8942 @p8937)) % 1.71/1.95 (step @p8944 :rule trans :premises (@p8943 @p8916)) % 1.71/1.95 (step @p8945 :rule refl :args ((tptp.setadjoin @t279 @t619))) % 1.71/1.95 (step @p8946 :rule refl :args ((tptp.setadjoin @t293 tptp.emptyset))) % 1.71/1.95 (step @p8947 :rule cong :premises (@p6410 @p377) :args (@t3068)) % 1.71/1.95 (step @p8948 :rule trans :premises (@p8947 @p8946)) % 1.71/1.95 (step @p8949 :rule cong :premises (@p6815 @p8948) :args (@t3069)) % 1.71/1.95 (step @p8950 :rule trans :premises (@p8949 @p8945)) % 1.71/1.95 (step @p8951 :rule ho_cong :premises (@p8910 @p6815)) % 1.71/1.95 (step @p8952 :rule ho_cong :premises (@p8951 @p8948)) % 1.71/1.95 (step @p8953 :rule cong :premises (@p8952 @p8950) :args ((= (_ @t6554 @t3068) @t3069))) % 1.71/1.95 (step @p8954 :rule symm :premises (@p8953)) % 1.71/1.95 (step @p8955 :rule refl :args (@t621)) % 1.71/1.95 (step @p8956 :rule eq_resolve :premises (@p8955 @p8954)) % 1.71/1.95 (step @p8957 :rule ho_cong :premises (@p8910 @p6410)) % 1.71/1.95 (step @p8958 :rule ho_cong :premises (@p8957 @p377)) % 1.71/1.95 (step @p8959 :rule cong :premises (@p8958 @p8948) :args ((= (_ (_ tptp.setadjoin @t3067) tptp.emptyset) @t3068))) % 1.71/1.95 (step @p8960 :rule symm :premises (@p8959)) % 1.71/1.95 (step @p8961 :rule refl :args (@t619)) % 1.71/1.95 (step @p8962 :rule eq_resolve :premises (@p8961 @p8960)) % 1.71/1.95 (step @p8963 :rule ho_cong :premises (@p8910 @p6431)) % 1.71/1.95 (step @p8964 :rule ho_cong :premises (@p8963 @p377)) % 1.71/1.95 (step @p8965 :rule trans :premises (@p8964 @p8962)) % 1.71/1.95 (step @p8966 :rule ho_cong :premises (@p8910 @p6819)) % 1.71/1.95 (step @p8967 :rule ho_cong :premises (@p8966 @p8965)) % 1.71/1.95 (step @p8968 :rule trans :premises (@p8967 @p8956)) % 1.71/1.95 (step @p8969 :rule cong :premises (@p8968 @p8944) :args (@t777)) % 1.71/1.95 (step @p8970 :rule cong :premises (@p8969) :args (@t6555)) % 1.71/1.95 (step @p8971 :rule nary_cong :premises (@p8970 @p8881) :args (@t6556)) % 1.71/1.95 (step @p8972 :rule cong :premises (@p8971) :args ((forall @t778 @t6556))) % 1.71/1.95 (step @p8973 :rule bool-impl-elim :args (@t777 @t793)) % 1.71/1.95 (step @p8974 :rule cong :premises (@p8973) :args (@t800)) % 1.71/1.95 (step @p8975 :rule trans :premises (@p8974 @p8972)) % 1.71/1.95 (step @p8976 :rule refl :args (tptp.setukpairinjR2)) % 1.71/1.95 (step @p8977 :rule cong :premises (@p8976 @p8975) :args (@t801)) % 1.71/1.95 (step @p8978 :rule eq_resolve :premises (@p170 @p8977)) % 1.71/1.95 (step @p8979 :rule cong :premises (@p8978 @p8897) :args (@t6557)) % 1.71/1.95 (step @p8980 :rule cong :premises (@p6431 @p8941) :args (@t797)) % 1.71/1.95 (step @p8981 :rule cong :premises (@p8980) :args (@t6558)) % 1.71/1.95 (step @p8982 :rule nary_cong :premises (@p8981 @p1090) :args (@t6559)) % 1.71/1.95 (step @p8983 :rule cong :premises (@p8982) :args ((forall @t297 @t6559))) % 1.71/1.95 (step @p8984 :rule bool-impl-elim :args (@t797 @t129)) % 1.71/1.95 (step @p8985 :rule cong :premises (@p8984) :args (@t798)) % 1.71/1.95 (step @p8986 :rule trans :premises (@p8985 @p8983)) % 1.71/1.95 (step @p8987 :rule refl :args (tptp.upairequniteq)) % 1.71/1.95 (step @p8988 :rule cong :premises (@p8987 @p8986) :args (@t799)) % 1.71/1.95 (step @p8989 :rule eq_resolve :premises (@p169 @p8988)) % 1.71/1.95 (step @p8990 :rule cong :premises (@p8989 @p8979) :args (@t6560)) % 1.71/1.95 (step @p8991 :rule aci_norm :args ((= (or @t3073 false @t793) @t3074))) % 1.71/1.95 (step @p8992 :rule refl :args (@t793)) % 1.71/1.95 (step @p8993 :rule eq-refl :args (@t383)) % 1.71/1.95 (step @p8994 :rule cong :premises (@p8993) :args (@t6561)) % 1.71/1.95 (step @p8995 :rule trans :premises (@p8994 @p928)) % 1.71/1.95 (step @p8996 :rule refl :args (@t3073)) % 1.71/1.95 (step @p8997 :rule nary_cong :premises (@p8996 @p8995 @p8992) :args (@t6562)) % 1.71/1.95 (step @p8998 :rule trans :premises (@p8997 @p8991)) % 1.71/1.95 (step @p8999 :rule cong :premises (@p8998) :args ((forall @t3075 @t6562))) % 1.71/1.95 (step @p9000 :rule quant-var-elim-eq :args ((= (forall @t1068 @t6564) @t6562))) % 1.71/1.95 (step @p9001 :rule aci_norm :args ((= @t6565 @t6564))) % 1.71/1.95 (step @p9002 :rule cong :premises (@p9001) :args (@t6566)) % 1.71/1.95 (step @p9003 :rule trans :premises (@p9002 @p9000)) % 1.71/1.95 (step @p9004 :rule cong :premises (@p9003) :args (@t6567)) % 1.71/1.95 (step @p9005 :rule quant-merge-prenex :args ((= @t6567 @t6568))) % 1.71/1.95 (step @p9006 :rule symm :premises (@p9005)) % 1.71/1.95 (step @p9007 :rule quant_var_reordering :args ((= (forall @t778 @t6565) @t6568))) % 1.71/1.95 (step @p9008 :rule trans :premises (@p9007 @p9006 @p9004)) % 1.71/1.95 (step @p9009 :rule trans :premises (@p9008 @p8999)) % 1.71/1.95 (step @p9010 :rule refl :args (@t6563)) % 1.71/1.95 (step @p9011 :rule nary_cong :premises (@p8970 @p9010 @p8881) :args (@t6569)) % 1.71/1.95 (step @p9012 :rule cong :premises (@p9011) :args ((forall @t778 @t6569))) % 1.71/1.95 (step @p9013 :rule trans :premises (@p9012 @p9009)) % 1.71/1.95 (step @p9014 :rule aci_norm :args ((= (or @t6555 (or @t6563 @t793)) @t6569))) % 1.71/1.95 (step @p9015 :rule bool-impl-elim :args (@t387 @t793)) % 1.71/1.95 (step @p9016 :rule refl :args (@t6555)) % 1.71/1.95 (step @p9017 :rule nary_cong :premises (@p9016 @p9015) :args ((or @t6555 @t794))) % 1.71/1.95 (step @p9018 :rule trans :premises (@p9017 @p9014)) % 1.71/1.95 (step @p9019 :rule bool-impl-elim :args (@t777 @t794)) % 1.71/1.95 (step @p9020 :rule trans :premises (@p9019 @p9018)) % 1.71/1.95 (step @p9021 :rule cong :premises (@p9020) :args (@t795)) % 1.71/1.95 (step @p9022 :rule trans :premises (@p9021 @p9013)) % 1.71/1.95 (step @p9023 :rule refl :args (tptp.setukpairinjR1)) % 1.71/1.95 (step @p9024 :rule cong :premises (@p9023 @p9022) :args (@t796)) % 1.71/1.95 (step @p9025 :rule eq_resolve :premises (@p168 @p9024)) % 1.71/1.95 (step @p9026 :rule cong :premises (@p9025 @p8990) :args (@t6570)) % 1.71/1.95 (step @p9027 :rule aci_norm :args ((= (or false @t3078) @t3078))) % 1.71/1.95 (step @p9028 :rule refl :args (@t3078)) % 1.71/1.95 (step @p9029 :rule eq-refl :args (@t19)) % 1.71/1.95 (step @p9030 :rule cong :premises (@p9029) :args (@t6571)) % 1.71/1.95 (step @p9031 :rule trans :premises (@p9030 @p928)) % 1.71/1.95 (step @p9032 :rule nary_cong :premises (@p9031 @p9028) :args (@t6572)) % 1.71/1.95 (step @p9033 :rule trans :premises (@p9032 @p9027)) % 1.71/1.95 (step @p9034 :rule cong :premises (@p9033) :args ((forall @t70 @t6572))) % 1.71/1.95 (step @p9035 :rule quant-var-elim-eq :args ((= (forall @t9 @t6575) @t6572))) % 1.71/1.95 (step @p9036 :rule aci_norm :args ((= @t6576 @t6575))) % 1.71/1.95 (step @p9037 :rule cong :premises (@p9036) :args (@t6577)) % 1.71/1.95 (step @p9038 :rule trans :premises (@p9037 @p9035)) % 1.71/1.95 (step @p9039 :rule cong :premises (@p9038) :args (@t6578)) % 1.71/1.95 (step @p9040 :rule quant-merge-prenex :args ((= @t6578 @t6580))) % 1.71/1.95 (step @p9041 :rule symm :premises (@p9040)) % 1.71/1.95 (step @p9042 :rule quant_var_reordering :args ((= (forall @t135 @t6576) @t6580))) % 1.71/1.95 (step @p9043 :rule trans :premises (@p9042 @p9041 @p9039)) % 1.71/1.95 (step @p9044 :rule trans :premises (@p9043 @p9034)) % 1.71/1.95 (step @p9045 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 1.71/1.95 (step @p9046 :rule cong :premises (@p6815 @p377) :args (@t6573)) % 1.71/1.95 (step @p9047 :rule trans :premises (@p9046 @p9045)) % 1.71/1.95 (step @p9048 :rule ho_cong :premises (@p8951 @p377)) % 1.71/1.95 (step @p9049 :rule cong :premises (@p9048 @p9047) :args ((= (_ @t6554 tptp.emptyset) @t6573))) % 1.71/1.95 (step @p9050 :rule symm :premises (@p9049)) % 1.71/1.95 (step @p9051 :rule refl :args (@t789)) % 1.71/1.95 (step @p9052 :rule eq_resolve :premises (@p9051 @p9050)) % 1.71/1.95 (step @p9053 :rule ho_cong :premises (@p8966 @p377)) % 1.71/1.95 (step @p9054 :rule trans :premises (@p9053 @p9052)) % 1.71/1.95 (step @p9055 :rule cong :premises (@p8968 @p9054) :args (@t790)) % 1.71/1.95 (step @p9056 :rule refl :args (@t282)) % 1.71/1.95 (step @p9057 :rule nary_cong :premises (@p9056 @p9055) :args (@t6581)) % 1.71/1.95 (step @p9058 :rule cong :premises (@p9057) :args ((forall @t135 @t6581))) % 1.71/1.95 (step @p9059 :rule trans :premises (@p9058 @p9044)) % 1.71/1.95 (step @p9060 :rule bool-impl-elim :args (@t129 @t790)) % 1.71/1.95 (step @p9061 :rule cong :premises (@p9060) :args (@t791)) % 1.71/1.95 (step @p9062 :rule trans :premises (@p9061 @p9059)) % 1.71/1.95 (step @p9063 :rule refl :args (tptp.setukpairinjR12)) % 1.71/1.95 (step @p9064 :rule cong :premises (@p9063 @p9062) :args (@t792)) % 1.71/1.95 (step @p9065 :rule eq_resolve :premises (@p167 @p9064)) % 1.71/1.95 (step @p9066 :rule cong :premises (@p9065 @p9026) :args (@t6582)) % 1.71/1.95 (step @p9067 :rule aci_norm :args ((= (or false @t3080) @t3080))) % 1.71/1.95 (step @p9068 :rule refl :args (@t3080)) % 1.71/1.95 (step @p9069 :rule nary_cong :premises (@p9031 @p9068) :args (@t6583)) % 1.71/1.95 (step @p9070 :rule trans :premises (@p9069 @p9067)) % 1.71/1.95 (step @p9071 :rule cong :premises (@p9070) :args ((forall @t70 @t6583))) % 1.71/1.95 (step @p9072 :rule quant-var-elim-eq :args ((= (forall @t9 @t6585) @t6583))) % 1.71/1.95 (step @p9073 :rule aci_norm :args ((= @t6586 @t6585))) % 1.71/1.95 (step @p9074 :rule cong :premises (@p9073) :args (@t6587)) % 1.71/1.95 (step @p9075 :rule trans :premises (@p9074 @p9072)) % 1.71/1.95 (step @p9076 :rule cong :premises (@p9075) :args (@t6588)) % 1.71/1.95 (step @p9077 :rule quant-merge-prenex :args ((= @t6588 @t6589))) % 1.71/1.95 (step @p9078 :rule symm :premises (@p9077)) % 1.71/1.95 (step @p9079 :rule quant_var_reordering :args ((= (forall @t135 @t6586) @t6589))) % 1.71/1.95 (step @p9080 :rule trans :premises (@p9079 @p9078 @p9076)) % 1.71/1.95 (step @p9081 :rule trans :premises (@p9080 @p9071)) % 1.71/1.95 (step @p9082 :rule cong :premises (@p6819 @p6431) :args (@t6590)) % 1.71/1.95 (step @p9083 :rule nary_cong :premises (@p9056 @p9082) :args (@t6591)) % 1.71/1.95 (step @p9084 :rule cong :premises (@p9083) :args ((forall @t135 @t6591))) % 1.71/1.95 (step @p9085 :rule trans :premises (@p9084 @p9081)) % 1.71/1.95 (step @p9086 :rule bool-impl-elim :args (@t129 @t6590)) % 1.71/1.95 (step @p9087 :rule cong :premises (@p9086) :args ((forall @t135 (=> @t129 @t6590)))) % 1.71/1.95 (step @p9088 :rule trans :premises (@p9087 @p9085)) % 1.71/1.95 (step @p9089 :rule eq-symm :args (@t293 @t279)) % 1.71/1.95 (step @p9090 :rule cong :premises (@p1071 @p9089) :args (@t786)) % 1.71/1.95 (step @p9091 :rule cong :premises (@p9090) :args (@t787)) % 1.71/1.95 (step @p9092 :rule trans :premises (@p9091 @p9088)) % 1.71/1.95 (step @p9093 :rule refl :args (tptp.setukpairinjR11)) % 1.71/1.95 (step @p9094 :rule cong :premises (@p9093 @p9092) :args (@t788)) % 1.71/1.95 (step @p9095 :rule eq_resolve :premises (@p166 @p9094)) % 1.71/1.95 (step @p9096 :rule cong :premises (@p9095 @p9066) :args (@t6592)) % 1.71/1.95 (step @p9097 :rule refl :args (@t745)) % 1.71/1.95 (step @p9098 :rule nary_cong :premises (@p8888 @p9097) :args (@t6593)) % 1.71/1.95 (step @p9099 :rule cong :premises (@p9098) :args ((forall @t778 @t6593))) % 1.71/1.95 (step @p9100 :rule bool-impl-elim :args (@t783 @t745)) % 1.71/1.95 (step @p9101 :rule cong :premises (@p9100) :args (@t784)) % 1.71/1.95 (step @p9102 :rule trans :premises (@p9101 @p9099)) % 1.71/1.95 (step @p9103 :rule refl :args (tptp.setukpairinjL)) % 1.71/1.95 (step @p9104 :rule cong :premises (@p9103 @p9102) :args (@t785)) % 1.71/1.95 (step @p9105 :rule eq_resolve :premises (@p165 @p9104)) % 1.71/1.95 (step @p9106 :rule cong :premises (@p9105 @p9096) :args (@t6594)) % 1.71/1.95 (step @p9107 :rule nary_cong :premises (@p8970 @p9097) :args (@t6595)) % 1.71/1.95 (step @p9108 :rule cong :premises (@p9107) :args ((forall @t778 @t6595))) % 1.71/1.95 (step @p9109 :rule bool-impl-elim :args (@t777 @t745)) % 1.71/1.95 (step @p9110 :rule cong :premises (@p9109) :args (@t779)) % 1.71/1.95 (step @p9111 :rule trans :premises (@p9110 @p9108)) % 1.71/1.95 (step @p9112 :rule refl :args (tptp.setukpairinjL2)) % 1.71/1.95 (step @p9113 :rule cong :premises (@p9112 @p9111) :args (@t780)) % 1.71/1.95 (step @p9114 :rule eq_resolve :premises (@p164 @p9113)) % 1.71/1.95 (step @p9115 :rule cong :premises (@p9114 @p9106) :args (@t6596)) % 1.71/1.95 (step @p9116 :rule refl :args ((tptp.in @t769 @t2))) % 1.71/1.95 (step @p9117 :rule cong :premises (@p8593 @p973) :args (@t3084)) % 1.71/1.95 (step @p9118 :rule trans :premises (@p9117 @p9116)) % 1.71/1.95 (step @p9119 :rule ho_cong :premises (@p1628 @p8593)) % 1.71/1.95 (step @p9120 :rule ho_cong :premises (@p9119 @p973)) % 1.71/1.95 (step @p9121 :rule cong :premises (@p9120 @p9118) :args ((= (_ (_ tptp.in @t3021) @t2) @t3084))) % 1.71/1.95 (step @p9122 :rule symm :premises (@p9121)) % 1.71/1.95 (step @p9123 :rule refl :args (@t770)) % 1.71/1.95 (step @p9124 :rule eq_resolve :premises (@p9123 @p9122)) % 1.71/1.95 (step @p9125 :rule ho_cong :premises (@p1628 @p8610)) % 1.71/1.95 (step @p9126 :rule ho_cong :premises (@p9125 @p973)) % 1.71/1.95 (step @p9127 :rule trans :premises (@p9126 @p9124)) % 1.71/1.95 (step @p9128 :rule nary_cong :premises (@p8627 @p9127) :args (@t6597)) % 1.71/1.95 (step @p9129 :rule cong :premises (@p9128) :args ((forall @t689 @t6597))) % 1.71/1.95 (step @p9130 :rule bool-impl-elim :args (@t687 @t770)) % 1.71/1.95 (step @p9131 :rule cong :premises (@p9130) :args (@t771)) % 1.71/1.95 (step @p9132 :rule trans :premises (@p9131 @p9129)) % 1.71/1.95 (step @p9133 :rule refl :args (tptp.cartprodfstin)) % 1.71/1.95 (step @p9134 :rule cong :premises (@p9133 @p9132) :args (@t772)) % 1.71/1.95 (step @p9135 :rule eq_resolve :premises (@p163 @p9134)) % 1.71/1.95 (step @p9136 :rule cong :premises (@p9135 @p9115) :args (@t6598)) % 1.71/1.95 (step @p9137 :rule cong :premises (@p8717) :args ((forall @t135 @t6533))) % 1.71/1.95 (step @p9138 :rule cong :premises (@p8723) :args (@t767)) % 1.71/1.95 (step @p9139 :rule trans :premises (@p9138 @p9137)) % 1.71/1.95 (step @p9140 :rule refl :args (tptp.kfstpairEq)) % 1.71/1.95 (step @p9141 :rule cong :premises (@p9140 @p9139) :args (@t768)) % 1.71/1.95 (step @p9142 :rule eq_resolve :premises (@p162 @p9141)) % 1.71/1.95 (step @p9143 :rule cong :premises (@p9142 @p9136) :args (@t6599)) % 1.71/1.95 (step @p9144 :rule refl :args ((tptp.in @t760 @t695))) % 1.71/1.95 (step @p9145 :rule cong :premises (@p6624 @p3086) :args (@t3089)) % 1.71/1.95 (step @p9146 :rule trans :premises (@p9145 @p9144)) % 1.71/1.95 (step @p9147 :rule ho_cong :premises (@p1628 @p6624)) % 1.71/1.95 (step @p9148 :rule ho_cong :premises (@p9147 @p3086)) % 1.71/1.95 (step @p9149 :rule cong :premises (@p9148 @p9146) :args ((= (_ (_ tptp.in @t2802) @t695) @t3089))) % 1.71/1.95 (step @p9150 :rule symm :premises (@p9149)) % 1.71/1.95 (step @p9151 :rule refl :args (@t761)) % 1.71/1.95 (step @p9152 :rule eq_resolve :premises (@p9151 @p9150)) % 1.71/1.95 (step @p9153 :rule ho_cong :premises (@p1628 @p6628)) % 1.71/1.95 (step @p9154 :rule ho_cong :premises (@p9153 @p3086)) % 1.71/1.95 (step @p9155 :rule trans :premises (@p9154 @p9152)) % 1.71/1.95 (step @p9156 :rule nary_cong :premises (@p6617 @p9155) :args (@t6600)) % 1.71/1.95 (step @p9157 :rule cong :premises (@p9156) :args ((forall @t700 @t6600))) % 1.71/1.95 (step @p9158 :rule bool-impl-elim :args (@t762 @t761)) % 1.71/1.95 (step @p9159 :rule cong :premises (@p9158) :args (@t763)) % 1.71/1.95 (step @p9160 :rule trans :premises (@p9159 @p9157)) % 1.71/1.95 (step @p9161 :rule refl :args (tptp.theprop)) % 1.71/1.95 (step @p9162 :rule cong :premises (@p9161 @p9160) :args (@t764)) % 1.71/1.95 (step @p9163 :rule eq_resolve :premises (@p161 @p9162)) % 1.71/1.95 (step @p9164 :rule cong :premises (@p9163 @p9143) :args (@t6601)) % 1.71/1.95 (step @p9165 :rule refl :args ((tptp.singleton @t755))) % 1.71/1.95 (step @p9166 :rule refl :args ((tptp.dsetconstr @t753 @t752))) % 1.71/1.95 (step @p9167 :rule refl :args ((tptp.in @t279 @t383))) % 1.71/1.95 (step @p9168 :rule cong :premises (@p6815 @p8614) :args (@t3091)) % 1.71/1.95 (step @p9169 :rule trans :premises (@p9168 @p9167)) % 1.71/1.95 (step @p9170 :rule cong :premises (@p9169) :args (@t3092)) % 1.71/1.95 (step @p9171 :rule cong :premises (@p8837 @p9170) :args (@t3093)) % 1.71/1.95 (step @p9172 :rule trans :premises (@p9171 @p9166)) % 1.71/1.95 (step @p9173 :rule cong :premises (@p9172) :args (@t3094)) % 1.71/1.95 (step @p9174 :rule trans :premises (@p9173 @p9165)) % 1.71/1.95 (step @p9175 :rule ho_cong :premises (@p2935 @p9172)) % 1.71/1.95 (step @p9176 :rule cong :premises (@p9175 @p9174) :args ((= (_ tptp.singleton @t3093) @t3094))) % 1.71/1.95 (step @p9177 :rule symm :premises (@p9176)) % 1.71/1.95 (step @p9178 :rule refl :args (@t756)) % 1.71/1.95 (step @p9179 :rule eq_resolve :premises (@p9178 @p9177)) % 1.71/1.95 (step @p9180 :rule ho_cong :premises (@p8848 @p9170)) % 1.71/1.95 (step @p9181 :rule cong :premises (@p9180 @p9172) :args ((= (_ @t6548 @t3092) @t3093))) % 1.71/1.95 (step @p9182 :rule symm :premises (@p9181)) % 1.71/1.95 (step @p9183 :rule refl :args (@t755)) % 1.71/1.95 (step @p9184 :rule eq_resolve :premises (@p9183 @p9182)) % 1.71/1.95 (step @p9185 :rule ho_cong :premises (@p1628 @p6815)) % 1.71/1.95 (step @p9186 :rule ho_cong :premises (@p9185 @p8614)) % 1.71/1.95 (step @p9187 :rule cong :premises (@p9186 @p9169) :args ((= (_ @t6602 @t383) @t3091))) % 1.71/1.95 (step @p9188 :rule symm :premises (@p9187)) % 1.71/1.95 (step @p9189 :rule refl :args (@t751)) % 1.71/1.95 (step @p9190 :rule eq_resolve :premises (@p9189 @p9188)) % 1.71/1.95 (step @p9191 :rule ho_cong :premises (@p1628 @p6819)) % 1.71/1.95 (step @p9192 :rule ho_cong :premises (@p9191 @p8614)) % 1.71/1.95 (step @p9193 :rule trans :premises (@p9192 @p9190)) % 1.71/1.95 (step @p9194 :rule cong :premises (@p9193) :args (@t752)) % 1.71/1.95 (step @p9195 :rule ho_cong :premises (@p8867 @p9194)) % 1.71/1.95 (step @p9196 :rule trans :premises (@p9195 @p9184)) % 1.71/1.95 (step @p9197 :rule ho_cong :premises (@p2935 @p9196)) % 1.71/1.95 (step @p9198 :rule trans :premises (@p9197 @p9179)) % 1.71/1.95 (step @p9199 :rule nary_cong :premises (@p8809 @p9198) :args (@t6603)) % 1.71/1.95 (step @p9200 :rule cong :premises (@p9199) :args ((forall @t757 @t6603))) % 1.71/1.95 (step @p9201 :rule bool-impl-elim :args (@t692 @t756)) % 1.71/1.95 (step @p9202 :rule cong :premises (@p9201) :args (@t758)) % 1.71/1.95 (step @p9203 :rule trans :premises (@p9202 @p9200)) % 1.71/1.95 (step @p9204 :rule refl :args (tptp.kfstsingleton)) % 1.71/1.95 (step @p9205 :rule cong :premises (@p9204 @p9203) :args (@t759)) % 1.71/1.95 (step @p9206 :rule eq_resolve :premises (@p160 @p9205)) % 1.71/1.95 (step @p9207 :rule cong :premises (@p9206 @p9164) :args (@t6604)) % 1.71/1.95 (step @p9208 :rule refl :args ((tptp.in @t747 @t621))) % 1.71/1.95 (step @p9209 :rule cong :premises (@p8907 @p8950) :args (@t3096)) % 1.71/1.95 (step @p9210 :rule trans :premises (@p9209 @p9208)) % 1.71/1.95 (step @p9211 :rule ho_cong :premises (@p1628 @p8907)) % 1.71/1.95 (step @p9212 :rule ho_cong :premises (@p9211 @p8950)) % 1.71/1.95 (step @p9213 :rule cong :premises (@p9212 @p9210) :args ((= (_ (_ tptp.in @t3064) @t3069) @t3096))) % 1.71/1.95 (step @p9214 :rule symm :premises (@p9213)) % 1.71/1.95 (step @p9215 :rule refl :args (@t748)) % 1.71/1.95 (step @p9216 :rule eq_resolve :premises (@p9215 @p9214)) % 1.71/1.95 (step @p9217 :rule ho_cong :premises (@p1628 @p8941)) % 1.71/1.95 (step @p9218 :rule ho_cong :premises (@p9217 @p8968)) % 1.71/1.95 (step @p9219 :rule trans :premises (@p9218 @p9216)) % 1.71/1.95 (step @p9220 :rule cong :premises (@p9219) :args (@t6605)) % 1.71/1.95 (step @p9221 :rule nary_cong :premises (@p9220 @p9097) :args (@t6606)) % 1.71/1.95 (step @p9222 :rule cong :premises (@p9221) :args ((forall @t297 @t6606))) % 1.71/1.95 (step @p9223 :rule bool-impl-elim :args (@t748 @t745)) % 1.71/1.95 (step @p9224 :rule cong :premises (@p9223) :args (@t749)) % 1.71/1.95 (step @p9225 :rule trans :premises (@p9224 @p9222)) % 1.71/1.95 (step @p9226 :rule refl :args (tptp.setukpairinjL1)) % 1.71/1.95 (step @p9227 :rule cong :premises (@p9226 @p9225) :args (@t750)) % 1.71/1.95 (step @p9228 :rule eq_resolve :premises (@p159 @p9227)) % 1.71/1.95 (step @p9229 :rule cong :premises (@p9228 @p9207) :args (@t6607)) % 1.71/1.95 (step @p9230 :rule cong :premises (@p6429 @p6819) :args (@t6608)) % 1.71/1.95 (step @p9231 :rule cong :premises (@p9230) :args (@t6609)) % 1.71/1.95 (step @p9232 :rule nary_cong :premises (@p9231 @p1090) :args (@t6610)) % 1.71/1.95 (step @p9233 :rule cong :premises (@p9232) :args ((forall @t135 @t6610))) % 1.71/1.95 (step @p9234 :rule bool-impl-elim :args (@t6608 @t129)) % 1.71/1.95 (step @p9235 :rule cong :premises (@p9234) :args ((forall @t135 (=> @t6608 @t129)))) % 1.71/1.95 (step @p9236 :rule trans :premises (@p9235 @p9233)) % 1.71/1.95 (step @p9237 :rule eq-symm :args (@t279 @t275)) % 1.71/1.95 (step @p9238 :rule cong :premises (@p9237 @p1071) :args (@t742)) % 1.71/1.95 (step @p9239 :rule cong :premises (@p9238) :args (@t743)) % 1.71/1.95 (step @p9240 :rule trans :premises (@p9239 @p9236)) % 1.71/1.95 (step @p9241 :rule refl :args (tptp.singletonsuniq)) % 1.71/1.95 (step @p9242 :rule cong :premises (@p9241 @p9240) :args (@t744)) % 1.71/1.95 (step @p9243 :rule eq_resolve :premises (@p158 @p9242)) % 1.71/1.95 (step @p9244 :rule cong :premises (@p9243 @p9229) :args (@t6611)) % 1.71/1.95 (step @p9245 :rule aci_norm :args ((= @t6613 @t3112))) % 1.71/1.95 (step @p9246 :rule cong :premises (@p9245) :args (@t6614)) % 1.71/1.95 (step @p9247 :rule quant-merge-prenex :args ((= (forall @t311 @t6616) @t6614))) % 1.71/1.95 (step @p9248 :rule refl :args (@t2945)) % 1.71/1.95 (step @p9249 :rule alpha_equiv :args (@t6617 (@list @t3099) @t3867)) % 1.71/1.95 (step @p9250 :rule refl :args (@t3111)) % 1.71/1.95 (step @p9251 :rule nary_cong :premises (@p9250 @p9249 @p9248) :args (@t6618)) % 1.71/1.95 (step @p9252 :rule quant-miniscope-or :args ((= @t6616 @t6618))) % 1.71/1.95 (step @p9253 :rule trans :premises (@p9252 @p9251)) % 1.71/1.95 (step @p9254 :rule symm :premises (@p9253)) % 1.71/1.95 (step @p9255 :rule cong :premises (@p9254) :args ((forall @t311 (or @t3111 @t3120 @t2945)))) % 1.71/1.95 (step @p9256 :rule trans :premises (@p9255 @p9247)) % 1.71/1.95 (step @p9257 :rule trans :premises (@p9256 @p9246)) % 1.71/1.95 (step @p9258 :rule refl :args (@t3120)) % 1.71/1.95 (step @p9259 :rule refl :args (@t3111)) % 1.71/1.95 (step @p9260 :rule nary_cong :premises (@p9259 @p9258 @p7920) :args (@t6619)) % 1.71/1.95 (step @p9261 :rule cong :premises (@p9260) :args ((forall @t311 @t6619))) % 1.71/1.95 (step @p9262 :rule trans :premises (@p9261 @p9257)) % 1.71/1.95 (step @p9263 :rule refl :args (@t3120)) % 1.71/1.95 (step @p9264 :rule nary_cong :premises (@p9250 @p9263 @p7938) :args (@t6620)) % 1.71/1.95 (step @p9265 :rule cong :premises (@p9264) :args ((forall @t311 @t6620))) % 1.71/1.95 (step @p9266 :rule trans :premises (@p9265 @p9262)) % 1.71/1.95 (step @p9267 :rule aci_norm :args ((= (or @t3111 (or @t3120 @t725)) @t6620))) % 1.71/1.95 (step @p9268 :rule bool-double-not-elim :args (@t3120)) % 1.71/1.95 (step @p9269 :rule nary_cong :premises (@p9268 @p7934) :args ((or @t6621 @t725))) % 1.71/1.95 (step @p9270 :rule bool-impl-elim :args (@t3121 @t725)) % 1.71/1.95 (step @p9271 :rule trans :premises (@p9270 @p9269)) % 1.71/1.95 (step @p9272 :rule nary_cong :premises (@p9250 @p9271) :args ((or @t3111 @t6622))) % 1.71/1.95 (step @p9273 :rule trans :premises (@p9272 @p9267)) % 1.71/1.95 (step @p9274 :rule bool-impl-elim :args (@t3110 @t6622)) % 1.71/1.95 (step @p9275 :rule trans :premises (@p9274 @p9273)) % 1.71/1.95 (step @p9276 :rule cong :premises (@p9275) :args ((forall @t311 (=> @t3110 @t6622)))) % 1.71/1.95 (step @p9277 :rule trans :premises (@p9276 @p9266)) % 1.71/1.95 (step @p9278 :rule nary_cong :premises (@p1615 @p1168) :args (@t6623)) % 1.71/1.95 (step @p9279 :rule cong :premises (@p9278) :args ((forall @t9 @t6623))) % 1.71/1.95 (step @p9280 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 1.71/1.95 (step @p9281 :rule cong :premises (@p9280) :args (@t6624)) % 1.71/1.95 (step @p9282 :rule trans :premises (@p9281 @p9279)) % 1.71/1.95 (step @p9283 :rule cong :premises (@p9282) :args (@t6625)) % 1.71/1.95 (step @p9284 :rule exists-elim :args ((= @t309 @t6625))) % 1.71/1.95 (step @p9285 :rule trans :premises (@p9284 @p9283)) % 1.71/1.95 (step @p9286 :rule cong :premises (@p9285 @p7992) :args (@t738)) % 1.71/1.95 (step @p9287 :rule cong :premises (@p7991 @p9286) :args (@t739)) % 1.71/1.95 (step @p9288 :rule cong :premises (@p9287) :args (@t740)) % 1.71/1.95 (step @p9289 :rule trans :premises (@p9288 @p9277)) % 1.71/1.95 (step @p9290 :rule refl :args (tptp.ex1I2)) % 1.71/1.95 (step @p9291 :rule cong :premises (@p9290 @p9289) :args (@t741)) % 1.71/1.95 (step @p9292 :rule eq_resolve :premises (@p157 @p9291)) % 1.71/1.95 (step @p9293 :rule cong :premises (@p9292 @p9244) :args (@t6626)) % 1.71/1.95 (step @p9294 :rule lambda-elim :args ((= @t6627 @t143))) % 1.71/1.95 (step @p9295 :rule cong :premises (@p961 @p9294) :args (@t6628)) % 1.71/1.95 (step @p9296 :rule refl :args (@t3118)) % 1.71/1.95 (step @p9297 :rule refl :args (@t3107)) % 1.71/1.95 (step @p9298 :rule nary_cong :premises (@p4685 @p9297 @p9296 @p9295) :args (@t6629)) % 1.71/1.95 (step @p9299 :rule cong :premises (@p9298) :args ((forall @t159 @t6629))) % 1.71/1.95 (step @p9300 :rule refl :args ((tptp.ex1 @t2 @t154))) % 1.71/1.95 (step @p9301 :rule cong :premises (@p1177) :args (@t6627)) % 1.71/1.95 (step @p9302 :rule cong :premises (@p973 @p9301) :args (@t6628)) % 1.71/1.95 (step @p9303 :rule trans :premises (@p9302 @p9300)) % 1.71/1.95 (step @p9304 :rule ho_cong :premises (@p7930 @p9301)) % 1.71/1.95 (step @p9305 :rule cong :premises (@p9304 @p9303) :args ((= (_ @t724 @t6627) @t6628))) % 1.71/1.95 (step @p9306 :rule symm :premises (@p9305)) % 1.71/1.95 (step @p9307 :rule refl :args (@t729)) % 1.71/1.95 (step @p9308 :rule eq_resolve :premises (@p9307 @p9306)) % 1.71/1.95 (step @p9309 :rule cong :premises (@p1181) :args (@t154)) % 1.71/1.95 (step @p9310 :rule ho_cong :premises (@p7930 @p9309)) % 1.71/1.95 (step @p9311 :rule trans :premises (@p9310 @p9308)) % 1.71/1.95 (step @p9312 :rule refl :args (@t3118)) % 1.71/1.95 (step @p9313 :rule nary_cong :premises (@p1615 @p1168 @p9312 @p9311) :args (@t6630)) % 1.71/1.95 (step @p9314 :rule cong :premises (@p9313) :args ((forall @t159 @t6630))) % 1.71/1.95 (step @p9315 :rule trans :premises (@p9314 @p9299)) % 1.71/1.95 (step @p9316 :rule aci_norm :args ((= (or @t197 @t6631) @t6630))) % 1.71/1.95 (step @p9317 :rule aci_norm :args ((= (or @t317 (or @t3118 @t729)) @t6631))) % 1.71/1.95 (step @p9318 :rule bool-impl-elim :args (@t3117 @t729)) % 1.71/1.95 (step @p9319 :rule nary_cong :premises (@p7978 @p9318) :args ((or @t317 @t6632))) % 1.71/1.95 (step @p9320 :rule trans :premises (@p9319 @p9317)) % 1.71/1.95 (step @p9321 :rule bool-impl-elim :args (@t144 @t6632)) % 1.71/1.95 (step @p9322 :rule trans :premises (@p9321 @p9320)) % 1.71/1.95 (step @p9323 :rule nary_cong :premises (@p4095 @p9322) :args ((or @t197 @t6633))) % 1.71/1.95 (step @p9324 :rule trans :premises (@p9323 @p9316)) % 1.71/1.95 (step @p9325 :rule bool-impl-elim :args (@t7 @t6633)) % 1.71/1.95 (step @p9326 :rule trans :premises (@p9325 @p9324)) % 1.71/1.95 (step @p9327 :rule cong :premises (@p9326) :args ((forall @t159 (=> @t7 @t6633)))) % 1.71/1.95 (step @p9328 :rule trans :premises (@p9327 @p9315)) % 1.71/1.95 (step @p9329 :rule refl :args (@t729)) % 1.71/1.95 (step @p9330 :rule aci_norm :args ((= (or @t3841 @t3896) @t6351))) % 1.71/1.95 (step @p9331 :rule nary_cong :premises (@p1649 @p1185) :args ((or @t3841 @t166))) % 1.71/1.95 (step @p9332 :rule trans :premises (@p9331 @p9330)) % 1.71/1.95 (step @p9333 :rule bool-impl-elim :args (@t21 @t166)) % 1.71/1.95 (step @p9334 :rule trans :premises (@p9333 @p9332)) % 1.71/1.95 (step @p9335 :rule cong :premises (@p9334) :args ((forall @t70 (=> @t21 @t166)))) % 1.71/1.95 (step @p9336 :rule trans :premises (@p9335 @p7968)) % 1.71/1.95 (step @p9337 :rule eq-symm :args (@t19 @t4)) % 1.71/1.95 (step @p9338 :rule refl :args (@t153)) % 1.71/1.95 (step @p9339 :rule cong :premises (@p9338 @p9337) :args (@t730)) % 1.71/1.95 (step @p9340 :rule cong :premises (@p1725 @p9339) :args (@t731)) % 1.71/1.95 (step @p9341 :rule cong :premises (@p9340) :args (@t732)) % 1.71/1.95 (step @p9342 :rule trans :premises (@p9341 @p9336)) % 1.71/1.95 (step @p9343 :rule cong :premises (@p9342 @p9329) :args (@t733)) % 1.71/1.95 (step @p9344 :rule cong :premises (@p1188 @p9343) :args (@t734)) % 1.71/1.95 (step @p9345 :rule cong :premises (@p1729 @p9344) :args (@t735)) % 1.71/1.95 (step @p9346 :rule cong :premises (@p9345) :args (@t736)) % 1.71/1.95 (step @p9347 :rule trans :premises (@p9346 @p9328)) % 1.71/1.95 (step @p9348 :rule refl :args (tptp.ex1I)) % 1.71/1.95 (step @p9349 :rule cong :premises (@p9348 @p9347) :args (@t737)) % 1.71/1.95 (step @p9350 :rule eq_resolve :premises (@p156 @p9349)) % 1.71/1.95 (step @p9351 :rule cong :premises (@p9350 @p9293) :args (@t6634)) % 1.71/1.95 (step @p9352 :rule refl :args (@t3121)) % 1.71/1.95 (step @p9353 :rule nary_cong :premises (@p7921 @p9352) :args (@t6635)) % 1.71/1.95 (step @p9354 :rule cong :premises (@p9353) :args ((forall @t311 @t6635))) % 1.71/1.95 (step @p9355 :rule refl :args (@t3121)) % 1.71/1.95 (step @p9356 :rule nary_cong :premises (@p7939 @p9355) :args (@t6636)) % 1.71/1.95 (step @p9357 :rule cong :premises (@p9356) :args ((forall @t311 @t6636))) % 1.71/1.95 (step @p9358 :rule trans :premises (@p9357 @p9354)) % 1.71/1.95 (step @p9359 :rule bool-impl-elim :args (@t725 @t3121)) % 1.71/1.95 (step @p9360 :rule cong :premises (@p9359) :args ((forall @t311 (=> @t725 @t3121)))) % 1.71/1.95 (step @p9361 :rule trans :premises (@p9360 @p9358)) % 1.71/1.95 (step @p9362 :rule cong :premises (@p7992 @p9285) :args (@t726)) % 1.71/1.95 (step @p9363 :rule cong :premises (@p9362) :args (@t727)) % 1.71/1.95 (step @p9364 :rule trans :premises (@p9363 @p9361)) % 1.71/1.95 (step @p9365 :rule refl :args (tptp.ex1E1)) % 1.71/1.95 (step @p9366 :rule cong :premises (@p9365 @p9364) :args (@t728)) % 1.71/1.95 (step @p9367 :rule eq_resolve :premises (@p155 @p9366)) % 1.71/1.95 (step @p9368 :rule cong :premises (@p9367 @p9351) :args (@t6637)) % 1.71/1.95 (step @p9369 :rule aci_norm :args ((= @t6639 @t3128))) % 1.71/1.95 (step @p9370 :rule cong :premises (@p9369) :args (@t6640)) % 1.71/1.95 (step @p9371 :rule quant-merge-prenex :args ((= (forall @t311 @t6642) @t6640))) % 1.71/1.95 (step @p9372 :rule refl :args (@t3127)) % 1.71/1.95 (step @p9373 :rule alpha_equiv :args (@t6643 (@list @t3123) @t3867)) % 1.71/1.95 (step @p9374 :rule nary_cong :premises (@p9250 @p9373 @p9372) :args (@t6644)) % 1.71/1.95 (step @p9375 :rule quant-miniscope-or :args ((= @t6642 @t6644))) % 1.71/1.95 (step @p9376 :rule trans :premises (@p9375 @p9374)) % 1.71/1.95 (step @p9377 :rule symm :premises (@p9376)) % 1.71/1.95 (step @p9378 :rule cong :premises (@p9377) :args ((forall @t311 (or @t3111 @t3120 @t3127)))) % 1.71/1.95 (step @p9379 :rule trans :premises (@p9378 @p9371)) % 1.71/1.95 (step @p9380 :rule trans :premises (@p9379 @p9370)) % 1.71/1.95 (step @p9381 :rule cong :premises (@p961 @p7919) :args (@t6645)) % 1.71/1.95 (step @p9382 :rule cong :premises (@p9381) :args (@t6646)) % 1.71/1.95 (step @p9383 :rule nary_cong :premises (@p9259 @p9258 @p9382) :args (@t6647)) % 1.71/1.95 (step @p9384 :rule cong :premises (@p9383) :args ((forall @t311 @t6647))) % 1.71/1.95 (step @p9385 :rule trans :premises (@p9384 @p9380)) % 1.71/1.95 (step @p9386 :rule refl :args ((tptp.singleton @t306))) % 1.71/1.95 (step @p9387 :rule refl :args ((tptp.dsetconstr @t2 @t145))) % 1.71/1.95 (step @p9388 :rule cong :premises (@p973 @p7927) :args (@t6645)) % 1.71/1.95 (step @p9389 :rule trans :premises (@p9388 @p9387)) % 1.71/1.95 (step @p9390 :rule cong :premises (@p9389) :args (@t6646)) % 1.71/1.95 (step @p9391 :rule trans :premises (@p9390 @p9386)) % 1.71/1.95 (step @p9392 :rule ho_cong :premises (@p2935 @p9389)) % 1.71/1.95 (step @p9393 :rule cong :premises (@p9392 @p9391) :args ((= (_ tptp.singleton @t6645) @t6646))) % 1.71/1.95 (step @p9394 :rule symm :premises (@p9393)) % 1.71/1.95 (step @p9395 :rule refl :args (@t716)) % 1.71/1.95 (step @p9396 :rule eq_resolve :premises (@p9395 @p9394)) % 1.71/1.95 (step @p9397 :rule refl :args (@t155)) % 1.71/1.95 (step @p9398 :rule ho_cong :premises (@p9397 @p7927)) % 1.71/1.95 (step @p9399 :rule cong :premises (@p9398 @p9389) :args ((= (_ @t155 @t6336) @t6645))) % 1.71/1.95 (step @p9400 :rule symm :premises (@p9399)) % 1.71/1.95 (step @p9401 :rule refl :args (@t306)) % 1.71/1.95 (step @p9402 :rule eq_resolve :premises (@p9401 @p9400)) % 1.71/1.95 (step @p9403 :rule ho_cong :premises (@p9397 @p7936)) % 1.71/1.95 (step @p9404 :rule trans :premises (@p9403 @p9402)) % 1.71/1.95 (step @p9405 :rule ho_cong :premises (@p2935 @p9404)) % 1.71/1.95 (step @p9406 :rule trans :premises (@p9405 @p9396)) % 1.71/1.95 (step @p9407 :rule nary_cong :premises (@p9250 @p9263 @p9406) :args (@t6648)) % 1.71/1.95 (step @p9408 :rule cong :premises (@p9407) :args ((forall @t311 @t6648))) % 1.71/1.95 (step @p9409 :rule trans :premises (@p9408 @p9385)) % 1.71/1.95 (step @p9410 :rule aci_norm :args ((= (or @t3111 (or @t3120 @t716)) @t6648))) % 1.71/1.95 (step @p9411 :rule nary_cong :premises (@p9268 @p9395) :args ((or @t6621 @t716))) % 1.71/1.95 (step @p9412 :rule bool-impl-elim :args (@t3121 @t716)) % 1.71/1.95 (step @p9413 :rule trans :premises (@p9412 @p9411)) % 1.71/1.95 (step @p9414 :rule nary_cong :premises (@p9250 @p9413) :args ((or @t3111 @t6649))) % 1.71/1.95 (step @p9415 :rule trans :premises (@p9414 @p9410)) % 1.71/1.95 (step @p9416 :rule bool-impl-elim :args (@t3110 @t6649)) % 1.71/1.95 (step @p9417 :rule trans :premises (@p9416 @p9415)) % 1.71/1.95 (step @p9418 :rule cong :premises (@p9417) :args ((forall @t311 (=> @t3110 @t6649)))) % 1.71/1.95 (step @p9419 :rule trans :premises (@p9418 @p9409)) % 1.71/1.95 (step @p9420 :rule refl :args (@t716)) % 1.71/1.95 (step @p9421 :rule cong :premises (@p9285 @p9420) :args (@t717)) % 1.71/1.95 (step @p9422 :rule cong :premises (@p7991 @p9421) :args (@t721)) % 1.71/1.95 (step @p9423 :rule cong :premises (@p9422) :args (@t722)) % 1.71/1.95 (step @p9424 :rule trans :premises (@p9423 @p9419)) % 1.71/1.95 (step @p9425 :rule refl :args (tptp.singletonprop)) % 1.71/1.95 (step @p9426 :rule cong :premises (@p9425 @p9424) :args (@t723)) % 1.71/1.95 (step @p9427 :rule eq_resolve :premises (@p154 @p9426)) % 1.71/1.95 (step @p9428 :rule cong :premises (@p9427 @p9368) :args (@t6650)) % 1.71/1.95 (step @p9429 :rule refl :args ((tptp.setunion @t279))) % 1.71/1.95 (step @p9430 :rule cong :premises (@p6815) :args (@t3131)) % 1.71/1.95 (step @p9431 :rule trans :premises (@p9430 @p9429)) % 1.71/1.95 (step @p9432 :rule ho_cong :premises (@p8315 @p6815)) % 1.71/1.95 (step @p9433 :rule cong :premises (@p9432 @p9431) :args ((= (_ tptp.setunion @t2817) @t3131))) % 1.71/1.95 (step @p9434 :rule symm :premises (@p9433)) % 1.71/1.95 (step @p9435 :rule refl :args (@t713)) % 1.71/1.95 (step @p9436 :rule eq_resolve :premises (@p9435 @p9434)) % 1.71/1.95 (step @p9437 :rule ho_cong :premises (@p8315 @p6819)) % 1.71/1.95 (step @p9438 :rule trans :premises (@p9437 @p9436)) % 1.71/1.95 (step @p9439 :rule cong :premises (@p976 @p9438) :args (@t6651)) % 1.71/1.95 (step @p9440 :rule cong :premises (@p9439) :args ((forall @t9 @t6651))) % 1.71/1.95 (step @p9441 :rule eq-symm :args (@t713 @t4)) % 1.71/1.95 (step @p9442 :rule cong :premises (@p9441) :args (@t714)) % 1.71/1.95 (step @p9443 :rule trans :premises (@p9442 @p9440)) % 1.71/1.95 (step @p9444 :rule refl :args (tptp.setunionsingleton)) % 1.71/1.95 (step @p9445 :rule cong :premises (@p9444 @p9443) :args (@t715)) % 1.71/1.95 (step @p9446 :rule eq_resolve :premises (@p153 @p9445)) % 1.71/1.95 (step @p9447 :rule cong :premises (@p9446 @p9428) :args (@t6652)) % 1.71/1.95 (step @p9448 :rule refl :args ((tptp.subset @t2 @t706))) % 1.71/1.95 (step @p9449 :rule refl :args ((tptp.setunion @t705))) % 1.71/1.95 (step @p9450 :rule refl :args (@t3133)) % 1.71/1.95 (step @p9451 :rule cong :premises (@p9450) :args (@t3134)) % 1.71/1.95 (step @p9452 :rule trans :premises (@p9451 @p9449)) % 1.71/1.95 (step @p9453 :rule cong :premises (@p973 @p9452) :args (@t3135)) % 1.71/1.95 (step @p9454 :rule trans :premises (@p9453 @p9448)) % 1.71/1.95 (step @p9455 :rule refl :args (@t421)) % 1.71/1.95 (step @p9456 :rule ho_cong :premises (@p9455 @p9452)) % 1.71/1.95 (step @p9457 :rule cong :premises (@p9456 @p9454) :args ((= (_ @t421 @t3134) @t3135))) % 1.71/1.95 (step @p9458 :rule symm :premises (@p9457)) % 1.71/1.95 (step @p9459 :rule refl :args (@t710)) % 1.71/1.95 (step @p9460 :rule eq_resolve :premises (@p9459 @p9458)) % 1.71/1.95 (step @p9461 :rule ho_cong :premises (@p8315 @p9450)) % 1.71/1.95 (step @p9462 :rule cong :premises (@p9461 @p9452) :args ((= (_ tptp.setunion @t3133) @t3134))) % 1.71/1.95 (step @p9463 :rule symm :premises (@p9462)) % 1.71/1.95 (step @p9464 :rule refl :args (@t706)) % 1.71/1.95 (step @p9465 :rule eq_resolve :premises (@p9464 @p9463)) % 1.71/1.95 (step @p9466 :rule refl :args (@t705)) % 1.71/1.95 (step @p9467 :rule cong :premises (@p9466 @p9450) :args ((= @t705 @t3133))) % 1.71/1.95 (step @p9468 :rule symm :premises (@p9467)) % 1.71/1.95 (step @p9469 :rule eq_resolve :premises (@p9466 @p9468)) % 1.71/1.95 (step @p9470 :rule ho_cong :premises (@p8315 @p9469)) % 1.71/1.95 (step @p9471 :rule trans :premises (@p9470 @p9465)) % 1.71/1.95 (step @p9472 :rule ho_cong :premises (@p9455 @p9471)) % 1.71/1.95 (step @p9473 :rule trans :premises (@p9472 @p9460)) % 1.71/1.95 (step @p9474 :rule cong :premises (@p9473) :args (@t711)) % 1.71/1.95 (step @p9475 :rule refl :args (tptp.setunionsingleton2)) % 1.71/1.95 (step @p9476 :rule cong :premises (@p9475 @p9474) :args (@t712)) % 1.71/1.95 (step @p9477 :rule eq_resolve :premises (@p152 @p9476)) % 1.71/1.95 (step @p9478 :rule cong :premises (@p9477 @p9447) :args (@t6653)) % 1.71/1.95 (step @p9479 :rule refl :args ((tptp.subset @t706 @t2))) % 1.71/1.95 (step @p9480 :rule cong :premises (@p9452 @p973) :args (@t3137)) % 1.71/1.95 (step @p9481 :rule trans :premises (@p9480 @p9479)) % 1.71/1.95 (step @p9482 :rule ho_cong :premises (@p3662 @p9452)) % 1.71/1.95 (step @p9483 :rule ho_cong :premises (@p9482 @p973)) % 1.71/1.95 (step @p9484 :rule cong :premises (@p9483 @p9481) :args ((= (_ (_ tptp.subset @t3134) @t2) @t3137))) % 1.71/1.95 (step @p9485 :rule symm :premises (@p9484)) % 1.71/1.95 (step @p9486 :rule refl :args (@t707)) % 1.71/1.95 (step @p9487 :rule eq_resolve :premises (@p9486 @p9485)) % 1.71/1.95 (step @p9488 :rule ho_cong :premises (@p3662 @p9471)) % 1.71/1.95 (step @p9489 :rule ho_cong :premises (@p9488 @p973)) % 1.71/1.95 (step @p9490 :rule trans :premises (@p9489 @p9487)) % 1.71/1.95 (step @p9491 :rule cong :premises (@p9490) :args (@t708)) % 1.71/1.95 (step @p9492 :rule refl :args (tptp.setunionsingleton1)) % 1.71/1.95 (step @p9493 :rule cong :premises (@p9492 @p9491) :args (@t709)) % 1.71/1.95 (step @p9494 :rule eq_resolve :premises (@p151 @p9493)) % 1.71/1.95 (step @p9495 :rule cong :premises (@p9494 @p9478) :args (@t6654)) % 1.71/1.95 (step @p9496 :rule refl :args (@t3140)) % 1.71/1.95 (step @p9497 :rule refl :args ((tptp.in @t4 @t43))) % 1.71/1.95 (step @p9498 :rule refl :args (@t3141)) % 1.71/1.95 (step @p9499 :rule cong :premises (@p976 @p9498) :args (@t3142)) % 1.71/1.95 (step @p9500 :rule trans :premises (@p9499 @p9497)) % 1.71/1.95 (step @p9501 :rule ho_cong :premises (@p979 @p9498)) % 1.71/1.95 (step @p9502 :rule cong :premises (@p9501 @p9500) :args ((= (_ @t5 @t3141) @t3142))) % 1.71/1.95 (step @p9503 :rule symm :premises (@p9502)) % 1.71/1.95 (step @p9504 :rule refl :args (@t44)) % 1.71/1.95 (step @p9505 :rule eq_resolve :premises (@p9504 @p9503)) % 1.71/1.95 (step @p9506 :rule refl :args (@t43)) % 1.71/1.95 (step @p9507 :rule cong :premises (@p9506 @p9498) :args ((= @t43 @t3141))) % 1.71/1.95 (step @p9508 :rule symm :premises (@p9507)) % 1.71/1.95 (step @p9509 :rule eq_resolve :premises (@p9506 @p9508)) % 1.71/1.95 (step @p9510 :rule ho_cong :premises (@p979 @p9509)) % 1.71/1.95 (step @p9511 :rule trans :premises (@p9510 @p9505)) % 1.71/1.95 (step @p9512 :rule cong :premises (@p9511) :args (@t6655)) % 1.71/1.95 (step @p9513 :rule nary_cong :premises (@p9512 @p9496) :args (@t6656)) % 1.71/1.95 (step @p9514 :rule cong :premises (@p9513) :args ((forall @t46 @t6656))) % 1.71/1.95 (step @p9515 :rule bool-impl-elim :args (@t44 @t3140)) % 1.71/1.95 (step @p9516 :rule cong :premises (@p9515) :args ((forall @t46 (=> @t44 @t3140)))) % 1.71/1.95 (step @p9517 :rule trans :premises (@p9516 @p9514)) % 1.71/1.95 (step @p9518 :rule refl :args (@t3139)) % 1.71/1.95 (step @p9519 :rule refl :args (@t698)) % 1.71/1.95 (step @p9520 :rule cong :premises (@p9519 @p9518) :args ((= @t698 @t3139))) % 1.71/1.95 (step @p9521 :rule symm :premises (@p9520)) % 1.71/1.95 (step @p9522 :rule eq_resolve :premises (@p9519 @p9521)) % 1.71/1.95 (step @p9523 :rule cong :premises (@p9522) :args (@t6657)) % 1.71/1.95 (step @p9524 :rule nary_cong :premises (@p9523 @p4782) :args (@t6658)) % 1.71/1.95 (step @p9525 :rule cong :premises (@p9524) :args ((forall @t700 @t6658))) % 1.71/1.95 (step @p9526 :rule bool-and-de-morgan :args (@t698 @t696 true)) % 1.71/1.95 (step @p9527 :rule cong :premises (@p9526) :args (@t6659)) % 1.71/1.95 (step @p9528 :rule trans :premises (@p9527 @p9525)) % 1.71/1.95 (step @p9529 :rule cong :premises (@p9528) :args (@t6660)) % 1.71/1.95 (step @p9530 :rule exists-elim :args ((= @t701 @t6660))) % 1.71/1.95 (step @p9531 :rule trans :premises (@p9530 @p9529)) % 1.71/1.95 (step @p9532 :rule refl :args (@t44)) % 1.71/1.95 (step @p9533 :rule cong :premises (@p9532 @p9531) :args (@t702)) % 1.71/1.95 (step @p9534 :rule cong :premises (@p9533) :args (@t703)) % 1.71/1.95 (step @p9535 :rule trans :premises (@p9534 @p9517)) % 1.71/1.95 (step @p9536 :rule refl :args (tptp.setunionE2)) % 1.71/1.95 (step @p9537 :rule cong :premises (@p9536 @p9535) :args (@t704)) % 1.71/1.95 (step @p9538 :rule eq_resolve :premises (@p150 @p9537)) % 1.71/1.95 (step @p9539 :rule cong :premises (@p9538 @p9495) :args (@t6661)) % 1.71/1.95 (step @p9540 :rule nary_cong :premises (@p8627 @p8808) :args (@t6662)) % 1.71/1.95 (step @p9541 :rule cong :premises (@p9540) :args ((forall @t689 @t6662))) % 1.71/1.95 (step @p9542 :rule bool-impl-elim :args (@t687 @t692)) % 1.71/1.95 (step @p9543 :rule cong :premises (@p9542) :args (@t693)) % 1.71/1.95 (step @p9544 :rule trans :premises (@p9543 @p9541)) % 1.71/1.95 (step @p9545 :rule refl :args (tptp.cartprodmempair)) % 1.71/1.95 (step @p9546 :rule cong :premises (@p9545 @p9544) :args (@t694)) % 1.71/1.95 (step @p9547 :rule eq_resolve :premises (@p149 @p9546)) % 1.71/1.95 (step @p9548 :rule cong :premises (@p9547 @p9539) :args (@t6663)) % 1.71/1.95 (step @p9549 :rule refl :args (@t3151)) % 1.71/1.95 (step @p9550 :rule nary_cong :premises (@p8627 @p9549) :args (@t6664)) % 1.71/1.95 (step @p9551 :rule cong :premises (@p9550) :args ((forall @t689 @t6664))) % 1.71/1.95 (step @p9552 :rule bool-impl-elim :args (@t687 @t3151)) % 1.71/1.95 (step @p9553 :rule cong :premises (@p9552) :args ((forall @t689 (=> @t687 @t3151)))) % 1.71/1.95 (step @p9554 :rule trans :premises (@p9553 @p9551)) % 1.71/1.95 (step @p9555 :rule aci_norm :args ((= @t6666 @t3149))) % 1.71/1.95 (step @p9556 :rule cong :premises (@p9555) :args (@t6667)) % 1.71/1.95 (step @p9557 :rule quant-merge-prenex :args ((= (forall @t9 @t6669) @t6667))) % 1.71/1.95 (step @p9558 :rule alpha_equiv :args (@t6670 (@list @t3146) @t3833)) % 1.71/1.95 (step @p9559 :rule nary_cong :premises (@p1601 @p9558) :args (@t6671)) % 1.71/1.95 (step @p9560 :rule quant-miniscope-or :args ((= @t6669 @t6671))) % 1.71/1.95 (step @p9561 :rule trans :premises (@p9560 @p9559)) % 1.71/1.95 (step @p9562 :rule symm :premises (@p9561)) % 1.71/1.95 (step @p9563 :rule cong :premises (@p9562) :args ((forall @t9 (or @t2357 @t6672)))) % 1.71/1.95 (step @p9564 :rule trans :premises (@p9563 @p9557)) % 1.71/1.95 (step @p9565 :rule trans :premises (@p9564 @p9556)) % 1.71/1.95 (step @p9566 :rule refl :args (@t6672)) % 1.71/1.95 (step @p9567 :rule nary_cong :premises (@p1615 @p9566) :args (@t6673)) % 1.71/1.95 (step @p9568 :rule cong :premises (@p9567) :args ((forall @t9 @t6673))) % 1.71/1.95 (step @p9569 :rule trans :premises (@p9568 @p9565)) % 1.71/1.95 (step @p9570 :rule bool-double-not-elim :args (@t6672)) % 1.71/1.95 (step @p9571 :rule nary_cong :premises (@p4095 @p9570) :args ((or @t197 (not @t6674)))) % 1.71/1.95 (step @p9572 :rule bool-and-de-morgan :args (@t7 @t6674 true)) % 1.71/1.95 (step @p9573 :rule trans :premises (@p9572 @p9571)) % 1.71/1.95 (step @p9574 :rule cong :premises (@p9573) :args (@t6676)) % 1.71/1.95 (step @p9575 :rule trans :premises (@p9574 @p9569)) % 1.71/1.95 (step @p9576 :rule cong :premises (@p9575) :args (@t6677)) % 1.71/1.95 (step @p9577 :rule exists-elim :args ((= (exists @t9 @t6675) @t6677))) % 1.71/1.95 (step @p9578 :rule trans :premises (@p9577 @p9576)) % 1.71/1.95 (step @p9579 :rule cong :premises (@p8614 @p1638) :args (@t681)) % 1.71/1.95 (step @p9580 :rule cong :premises (@p9579) :args (@t6678)) % 1.71/1.95 (step @p9581 :rule nary_cong :premises (@p3021 @p9580) :args (@t6679)) % 1.71/1.95 (step @p9582 :rule cong :premises (@p9581) :args ((forall @t70 @t6679))) % 1.71/1.95 (step @p9583 :rule bool-and-de-morgan :args (@t354 @t681 true)) % 1.71/1.95 (step @p9584 :rule cong :premises (@p9583) :args (@t6680)) % 1.71/1.95 (step @p9585 :rule trans :premises (@p9584 @p9582)) % 1.71/1.95 (step @p9586 :rule cong :premises (@p9585) :args (@t6681)) % 1.71/1.95 (step @p9587 :rule exists-elim :args ((= @t683 @t6681))) % 1.71/1.95 (step @p9588 :rule trans :premises (@p9587 @p9586)) % 1.71/1.95 (step @p9589 :rule nary_cong :premises (@p1729 @p9588) :args (@t684)) % 1.71/1.95 (step @p9590 :rule cong :premises (@p9589) :args (@t685)) % 1.71/1.95 (step @p9591 :rule trans :premises (@p9590 @p9578)) % 1.71/1.95 (step @p9592 :rule cong :premises (@p8634 @p9591) :args (@t688)) % 1.71/1.95 (step @p9593 :rule cong :premises (@p9592) :args (@t690)) % 1.71/1.95 (step @p9594 :rule trans :premises (@p9593 @p9554)) % 1.71/1.95 (step @p9595 :rule refl :args (tptp.cartprodmempair1)) % 1.71/1.95 (step @p9596 :rule cong :premises (@p9595 @p9594) :args (@t691)) % 1.71/1.95 (step @p9597 :rule eq_resolve :premises (@p148 @p9596)) % 1.71/1.95 (step @p9598 :rule cong :premises (@p9597 @p9548) :args (@t6682)) % 1.71/1.95 (step @p9599 :rule aci_norm :args ((= @t6684 @t3156))) % 1.71/1.95 (step @p9600 :rule cong :premises (@p9599) :args (@t6685)) % 1.71/1.95 (step @p9601 :rule quant-merge-prenex :args ((= (forall @t245 @t6687) @t6685))) % 1.71/1.95 (step @p9602 :rule alpha_equiv :args (@t6688 (@list @t3153) @t3833)) % 1.71/1.95 (step @p9603 :rule nary_cong :premises (@p1601 @p9602) :args (@t6689)) % 1.71/1.95 (step @p9604 :rule quant-miniscope-or :args ((= @t6687 @t6689))) % 1.71/1.95 (step @p9605 :rule trans :premises (@p9604 @p9603)) % 1.71/1.95 (step @p9606 :rule symm :premises (@p9605)) % 1.71/1.95 (step @p9607 :rule cong :premises (@p9606) :args ((forall @t245 (or @t2357 @t6690)))) % 1.71/1.95 (step @p9608 :rule trans :premises (@p9607 @p9601)) % 1.71/1.95 (step @p9609 :rule trans :premises (@p9608 @p9600)) % 1.71/1.95 (step @p9610 :rule refl :args (@t6690)) % 1.71/1.95 (step @p9611 :rule nary_cong :premises (@p1615 @p9610) :args (@t6691)) % 1.71/1.95 (step @p9612 :rule cong :premises (@p9611) :args ((forall @t245 @t6691))) % 1.71/1.95 (step @p9613 :rule trans :premises (@p9612 @p9609)) % 1.71/1.95 (step @p9614 :rule bool-impl-elim :args (@t7 @t6690)) % 1.71/1.95 (step @p9615 :rule cong :premises (@p9614) :args ((forall @t245 (=> @t7 @t6690)))) % 1.71/1.95 (step @p9616 :rule trans :premises (@p9615 @p9613)) % 1.71/1.95 (step @p9617 :rule nary_cong :premises (@p3021 @p8763) :args (@t6692)) % 1.71/1.95 (step @p9618 :rule cong :premises (@p9617) :args ((forall @t70 @t6692))) % 1.71/1.95 (step @p9619 :rule bool-impl-elim :args (@t354 @t676)) % 1.71/1.95 (step @p9620 :rule cong :premises (@p9619) :args (@t677)) % 1.71/1.95 (step @p9621 :rule trans :premises (@p9620 @p9618)) % 1.71/1.95 (step @p9622 :rule cong :premises (@p1729 @p9621) :args (@t678)) % 1.71/1.95 (step @p9623 :rule cong :premises (@p9622) :args (@t679)) % 1.71/1.95 (step @p9624 :rule trans :premises (@p9623 @p9616)) % 1.71/1.95 (step @p9625 :rule refl :args (tptp.cartprodpairin)) % 1.71/1.95 (step @p9626 :rule cong :premises (@p9625 @p9624) :args (@t680)) % 1.71/1.95 (step @p9627 :rule eq_resolve :premises (@p147 @p9626)) % 1.71/1.95 (step @p9628 :rule cong :premises (@p9627 @p9598) :args (@t6693)) % 1.71/1.95 (step @p9629 :rule aci_norm :args ((= @t6695 @t3165))) % 1.71/1.95 (step @p9630 :rule cong :premises (@p9629) :args (@t6696)) % 1.71/1.95 (step @p9631 :rule quant-merge-prenex :args ((= (forall @t245 @t6698) @t6696))) % 1.71/1.95 (step @p9632 :rule alpha_equiv :args (@t6699 (@list @t3162) @t3833)) % 1.71/1.95 (step @p9633 :rule nary_cong :premises (@p1601 @p9632) :args (@t6700)) % 1.71/1.95 (step @p9634 :rule quant-miniscope-or :args ((= @t6698 @t6700))) % 1.71/1.95 (step @p9635 :rule trans :premises (@p9634 @p9633)) % 1.71/1.95 (step @p9636 :rule symm :premises (@p9635)) % 1.71/1.95 (step @p9637 :rule cong :premises (@p9636) :args ((forall @t245 (or @t2357 @t6702)))) % 1.71/1.95 (step @p9638 :rule trans :premises (@p9637 @p9631)) % 1.71/1.95 (step @p9639 :rule trans :premises (@p9638 @p9630)) % 1.71/1.95 (step @p9640 :rule refl :args (@t6702)) % 1.71/1.95 (step @p9641 :rule nary_cong :premises (@p1615 @p9640) :args (@t6703)) % 1.71/1.95 (step @p9642 :rule cong :premises (@p9641) :args ((forall @t245 @t6703))) % 1.71/1.95 (step @p9643 :rule trans :premises (@p9642 @p9639)) % 1.71/1.95 (step @p9644 :rule bool-impl-elim :args (@t7 @t6702)) % 1.71/1.95 (step @p9645 :rule cong :premises (@p9644) :args ((forall @t245 (=> @t7 @t6702)))) % 1.71/1.95 (step @p9646 :rule trans :premises (@p9645 @p9643)) % 1.71/1.95 (step @p9647 :rule refl :args ((tptp.in @t633 @t663))) % 1.71/1.95 (step @p9648 :rule refl :args ((tptp.powerset @t644))) % 1.71/1.95 (step @p9649 :rule refl :args ((tptp.powerset @t494))) % 1.71/1.95 (step @p9650 :rule refl :args (@t3159)) % 1.71/1.95 (step @p9651 :rule cong :premises (@p9650) :args (@t3160)) % 1.71/1.95 (step @p9652 :rule trans :premises (@p9651 @p9649)) % 1.71/1.95 (step @p9653 :rule cong :premises (@p9652) :args (@t3161)) % 1.71/1.95 (step @p9654 :rule trans :premises (@p9653 @p9648)) % 1.71/1.95 (step @p9655 :rule cong :premises (@p1625 @p9654) :args (@t6701)) % 1.71/1.95 (step @p9656 :rule trans :premises (@p9655 @p9647)) % 1.71/1.95 (step @p9657 :rule ho_cong :premises (@p1629 @p9654)) % 1.71/1.95 (step @p9658 :rule cong :premises (@p9657 @p9656) :args ((= (_ @t4048 @t3161) @t6701))) % 1.71/1.95 (step @p9659 :rule symm :premises (@p9658)) % 1.71/1.95 (step @p9660 :rule refl :args (@t670)) % 1.71/1.95 (step @p9661 :rule eq_resolve :premises (@p9660 @p9659)) % 1.71/1.95 (step @p9662 :rule ho_cong :premises (@p3125 @p9652)) % 1.71/1.95 (step @p9663 :rule cong :premises (@p9662 @p9654) :args ((= (_ tptp.powerset @t3160) @t3161))) % 1.71/1.95 (step @p9664 :rule symm :premises (@p9663)) % 1.71/1.95 (step @p9665 :rule refl :args (@t663)) % 1.71/1.95 (step @p9666 :rule eq_resolve :premises (@p9665 @p9664)) % 1.71/1.95 (step @p9667 :rule ho_cong :premises (@p3125 @p9650)) % 1.71/1.95 (step @p9668 :rule cong :premises (@p9667 @p9652) :args ((= (_ tptp.powerset @t3159) @t3160))) % 1.71/1.95 (step @p9669 :rule symm :premises (@p9668)) % 1.71/1.95 (step @p9670 :rule refl :args (@t644)) % 1.71/1.95 (step @p9671 :rule eq_resolve :premises (@p9670 @p9669)) % 1.71/1.95 (step @p9672 :rule refl :args (@t494)) % 1.71/1.95 (step @p9673 :rule cong :premises (@p9672 @p9650) :args ((= @t494 @t3159))) % 1.71/1.95 (step @p9674 :rule symm :premises (@p9673)) % 1.71/1.95 (step @p9675 :rule eq_resolve :premises (@p9672 @p9674)) % 1.71/1.95 (step @p9676 :rule ho_cong :premises (@p3125 @p9675)) % 1.71/1.95 (step @p9677 :rule trans :premises (@p9676 @p9671)) % 1.71/1.95 (step @p9678 :rule ho_cong :premises (@p3125 @p9677)) % 1.71/1.95 (step @p9679 :rule trans :premises (@p9678 @p9666)) % 1.71/1.95 (step @p9680 :rule ho_cong :premises (@p1639 @p9679)) % 1.71/1.95 (step @p9681 :rule trans :premises (@p9680 @p9661)) % 1.71/1.95 (step @p9682 :rule nary_cong :premises (@p3021 @p9681) :args (@t6704)) % 1.71/1.95 (step @p9683 :rule cong :premises (@p9682) :args ((forall @t70 @t6704))) % 1.71/1.95 (step @p9684 :rule bool-impl-elim :args (@t354 @t670)) % 1.71/1.95 (step @p9685 :rule cong :premises (@p9684) :args (@t671)) % 1.71/1.95 (step @p9686 :rule trans :premises (@p9685 @p9683)) % 1.71/1.95 (step @p9687 :rule cong :premises (@p1729 @p9686) :args (@t672)) % 1.71/1.95 (step @p9688 :rule cong :premises (@p9687) :args (@t673)) % 1.71/1.95 (step @p9689 :rule trans :premises (@p9688 @p9646)) % 1.71/1.95 (step @p9690 :rule refl :args (tptp.ubforcartprodlem3)) % 1.71/1.95 (step @p9691 :rule cong :premises (@p9690 @p9689) :args (@t674)) % 1.71/1.95 (step @p9692 :rule eq_resolve :premises (@p146 @p9691)) % 1.71/1.95 (step @p9693 :rule cong :premises (@p9692 @p9628) :args (@t6705)) % 1.71/1.95 (step @p9694 :rule aci_norm :args ((= @t6707 @t3171))) % 1.71/1.95 (step @p9695 :rule cong :premises (@p9694) :args (@t6708)) % 1.71/1.95 (step @p9696 :rule quant-merge-prenex :args ((= (forall @t245 @t6710) @t6708))) % 1.71/1.95 (step @p9697 :rule alpha_equiv :args (@t6711 (@list @t3168) @t3833)) % 1.71/1.95 (step @p9698 :rule nary_cong :premises (@p1601 @p9697) :args (@t6712)) % 1.71/1.95 (step @p9699 :rule quant-miniscope-or :args ((= @t6710 @t6712))) % 1.71/1.95 (step @p9700 :rule trans :premises (@p9699 @p9698)) % 1.71/1.95 (step @p9701 :rule symm :premises (@p9700)) % 1.71/1.95 (step @p9702 :rule cong :premises (@p9701) :args ((forall @t245 (or @t2357 @t6714)))) % 1.71/1.95 (step @p9703 :rule trans :premises (@p9702 @p9696)) % 1.71/1.95 (step @p9704 :rule trans :premises (@p9703 @p9695)) % 1.71/1.95 (step @p9705 :rule refl :args (@t6714)) % 1.71/1.95 (step @p9706 :rule nary_cong :premises (@p1615 @p9705) :args (@t6715)) % 1.71/1.95 (step @p9707 :rule cong :premises (@p9706) :args ((forall @t245 @t6715))) % 1.71/1.95 (step @p9708 :rule trans :premises (@p9707 @p9704)) % 1.71/1.95 (step @p9709 :rule bool-impl-elim :args (@t7 @t6714)) % 1.71/1.95 (step @p9710 :rule cong :premises (@p9709) :args ((forall @t245 (=> @t7 @t6714)))) % 1.71/1.95 (step @p9711 :rule trans :premises (@p9710 @p9708)) % 1.71/1.95 (step @p9712 :rule refl :args ((tptp.in @t621 @t663))) % 1.71/1.95 (step @p9713 :rule cong :premises (@p8950 @p9654) :args (@t6713)) % 1.71/1.95 (step @p9714 :rule trans :premises (@p9713 @p9712)) % 1.71/1.95 (step @p9715 :rule ho_cong :premises (@p1628 @p8950)) % 1.71/1.95 (step @p9716 :rule ho_cong :premises (@p9715 @p9654)) % 1.71/1.95 (step @p9717 :rule cong :premises (@p9716 @p9714) :args ((= (_ (_ tptp.in @t3069) @t3161) @t6713))) % 1.71/1.95 (step @p9718 :rule symm :premises (@p9717)) % 1.71/1.95 (step @p9719 :rule refl :args (@t664)) % 1.71/1.95 (step @p9720 :rule eq_resolve :premises (@p9719 @p9718)) % 1.71/1.95 (step @p9721 :rule ho_cong :premises (@p1628 @p8968)) % 1.71/1.95 (step @p9722 :rule ho_cong :premises (@p9721 @p9679)) % 1.71/1.95 (step @p9723 :rule trans :premises (@p9722 @p9720)) % 1.71/1.95 (step @p9724 :rule nary_cong :premises (@p3021 @p9723) :args (@t6716)) % 1.71/1.95 (step @p9725 :rule cong :premises (@p9724) :args ((forall @t70 @t6716))) % 1.71/1.95 (step @p9726 :rule bool-impl-elim :args (@t354 @t664)) % 1.71/1.95 (step @p9727 :rule cong :premises (@p9726) :args (@t665)) % 1.71/1.95 (step @p9728 :rule trans :premises (@p9727 @p9725)) % 1.71/1.95 (step @p9729 :rule cong :premises (@p1729 @p9728) :args (@t666)) % 1.71/1.95 (step @p9730 :rule cong :premises (@p9729) :args (@t667)) % 1.71/1.95 (step @p9731 :rule trans :premises (@p9730 @p9711)) % 1.71/1.95 (step @p9732 :rule refl :args (tptp.ubforcartprodlem2)) % 1.71/1.95 (step @p9733 :rule cong :premises (@p9732 @p9731) :args (@t668)) % 1.71/1.95 (step @p9734 :rule eq_resolve :premises (@p145 @p9733)) % 1.71/1.95 (step @p9735 :rule cong :premises (@p9734 @p9693) :args (@t6717)) % 1.71/1.95 (step @p9736 :rule aci_norm :args ((= @t6719 @t3177))) % 1.71/1.95 (step @p9737 :rule cong :premises (@p9736) :args (@t6720)) % 1.71/1.95 (step @p9738 :rule quant-merge-prenex :args ((= (forall @t245 @t6722) @t6720))) % 1.71/1.95 (step @p9739 :rule alpha_equiv :args (@t6723 (@list @t3174) @t3833)) % 1.71/1.95 (step @p9740 :rule nary_cong :premises (@p1601 @p9739) :args (@t6724)) % 1.71/1.95 (step @p9741 :rule quant-miniscope-or :args ((= @t6722 @t6724))) % 1.71/1.95 (step @p9742 :rule trans :premises (@p9741 @p9740)) % 1.71/1.95 (step @p9743 :rule symm :premises (@p9742)) % 1.71/1.95 (step @p9744 :rule cong :premises (@p9743) :args ((forall @t245 (or @t2357 @t6726)))) % 1.71/1.95 (step @p9745 :rule trans :premises (@p9744 @p9738)) % 1.71/1.95 (step @p9746 :rule trans :premises (@p9745 @p9737)) % 1.71/1.95 (step @p9747 :rule refl :args (@t6726)) % 1.71/1.95 (step @p9748 :rule nary_cong :premises (@p1615 @p9747) :args (@t6727)) % 1.71/1.95 (step @p9749 :rule cong :premises (@p9748) :args ((forall @t245 @t6727))) % 1.71/1.95 (step @p9750 :rule trans :premises (@p9749 @p9746)) % 1.71/1.95 (step @p9751 :rule bool-impl-elim :args (@t7 @t6726)) % 1.71/1.95 (step @p9752 :rule cong :premises (@p9751) :args ((forall @t245 (=> @t7 @t6726)))) % 1.71/1.95 (step @p9753 :rule trans :premises (@p9752 @p9750)) % 1.71/1.95 (step @p9754 :rule refl :args ((tptp.subset @t621 @t644))) % 1.71/1.95 (step @p9755 :rule cong :premises (@p8950 @p9652) :args (@t6725)) % 1.71/1.95 (step @p9756 :rule trans :premises (@p9755 @p9754)) % 1.71/1.95 (step @p9757 :rule ho_cong :premises (@p3662 @p8950)) % 1.71/1.95 (step @p9758 :rule ho_cong :premises (@p9757 @p9652)) % 1.71/1.95 (step @p9759 :rule cong :premises (@p9758 @p9756) :args ((= (_ (_ tptp.subset @t3069) @t3160) @t6725))) % 1.71/1.95 (step @p9760 :rule symm :premises (@p9759)) % 1.71/1.95 (step @p9761 :rule refl :args (@t658)) % 1.71/1.95 (step @p9762 :rule eq_resolve :premises (@p9761 @p9760)) % 1.71/1.95 (step @p9763 :rule ho_cong :premises (@p3662 @p8968)) % 1.71/1.95 (step @p9764 :rule ho_cong :premises (@p9763 @p9677)) % 1.71/1.95 (step @p9765 :rule trans :premises (@p9764 @p9762)) % 1.71/1.95 (step @p9766 :rule nary_cong :premises (@p3021 @p9765) :args (@t6728)) % 1.71/1.95 (step @p9767 :rule cong :premises (@p9766) :args ((forall @t70 @t6728))) % 1.71/1.95 (step @p9768 :rule bool-impl-elim :args (@t354 @t658)) % 1.71/1.95 (step @p9769 :rule cong :premises (@p9768) :args (@t659)) % 1.71/1.95 (step @p9770 :rule trans :premises (@p9769 @p9767)) % 1.71/1.95 (step @p9771 :rule cong :premises (@p1729 @p9770) :args (@t660)) % 1.71/1.95 (step @p9772 :rule cong :premises (@p9771) :args (@t661)) % 1.71/1.95 (step @p9773 :rule trans :premises (@p9772 @p9753)) % 1.71/1.95 (step @p9774 :rule refl :args (tptp.ubforcartprodlem1)) % 1.71/1.95 (step @p9775 :rule cong :premises (@p9774 @p9773) :args (@t662)) % 1.71/1.95 (step @p9776 :rule eq_resolve :premises (@p144 @p9775)) % 1.71/1.95 (step @p9777 :rule cong :premises (@p9776 @p9735) :args (@t6729)) % 1.71/1.95 (step @p9778 :rule aci_norm :args ((= @t6731 @t3183))) % 1.71/1.95 (step @p9779 :rule cong :premises (@p9778) :args (@t6732)) % 1.71/1.95 (step @p9780 :rule quant-merge-prenex :args ((= (forall @t245 @t6734) @t6732))) % 1.71/1.95 (step @p9781 :rule alpha_equiv :args (@t6735 (@list @t3180) @t3833)) % 1.71/1.95 (step @p9782 :rule nary_cong :premises (@p1601 @p9781) :args (@t6736)) % 1.71/1.95 (step @p9783 :rule quant-miniscope-or :args ((= @t6734 @t6736))) % 1.71/1.95 (step @p9784 :rule trans :premises (@p9783 @p9782)) % 1.71/1.95 (step @p9785 :rule symm :premises (@p9784)) % 1.71/1.95 (step @p9786 :rule cong :premises (@p9785) :args ((forall @t245 (or @t2357 @t6738)))) % 1.71/1.95 (step @p9787 :rule trans :premises (@p9786 @p9780)) % 1.71/1.95 (step @p9788 :rule trans :premises (@p9787 @p9779)) % 1.71/1.95 (step @p9789 :rule refl :args (@t6738)) % 1.71/1.95 (step @p9790 :rule nary_cong :premises (@p1615 @p9789) :args (@t6739)) % 1.71/1.95 (step @p9791 :rule cong :premises (@p9790) :args ((forall @t245 @t6739))) % 1.71/1.95 (step @p9792 :rule trans :premises (@p9791 @p9788)) % 1.71/1.95 (step @p9793 :rule bool-impl-elim :args (@t7 @t6738)) % 1.71/1.95 (step @p9794 :rule cong :premises (@p9793) :args ((forall @t245 (=> @t7 @t6738)))) % 1.71/1.95 (step @p9795 :rule trans :premises (@p9794 @p9792)) % 1.71/1.95 (step @p9796 :rule refl :args ((tptp.in @t293 @t644))) % 1.71/1.95 (step @p9797 :rule cong :premises (@p6410 @p9652) :args (@t6737)) % 1.71/1.95 (step @p9798 :rule trans :premises (@p9797 @p9796)) % 1.71/1.95 (step @p9799 :rule ho_cong :premises (@p1628 @p6410)) % 1.71/1.95 (step @p9800 :rule ho_cong :premises (@p9799 @p9652)) % 1.71/1.95 (step @p9801 :rule cong :premises (@p9800 @p9798) :args ((= (_ (_ tptp.in @t3067) @t3160) @t6737))) % 1.71/1.95 (step @p9802 :rule symm :premises (@p9801)) % 1.71/1.95 (step @p9803 :rule refl :args (@t653)) % 1.71/1.95 (step @p9804 :rule eq_resolve :premises (@p9803 @p9802)) % 1.71/1.95 (step @p9805 :rule ho_cong :premises (@p1628 @p6431)) % 1.71/1.95 (step @p9806 :rule ho_cong :premises (@p9805 @p9677)) % 1.71/1.95 (step @p9807 :rule trans :premises (@p9806 @p9804)) % 1.71/1.95 (step @p9808 :rule nary_cong :premises (@p3021 @p9807) :args (@t6740)) % 1.71/1.95 (step @p9809 :rule cong :premises (@p9808) :args ((forall @t70 @t6740))) % 1.71/1.95 (step @p9810 :rule bool-impl-elim :args (@t354 @t653)) % 1.71/1.95 (step @p9811 :rule cong :premises (@p9810) :args (@t654)) % 1.71/1.95 (step @p9812 :rule trans :premises (@p9811 @p9809)) % 1.71/1.95 (step @p9813 :rule cong :premises (@p1729 @p9812) :args (@t655)) % 1.71/1.95 (step @p9814 :rule cong :premises (@p9813) :args (@t656)) % 1.71/1.95 (step @p9815 :rule trans :premises (@p9814 @p9795)) % 1.71/1.95 (step @p9816 :rule refl :args (tptp.upairinpowunion)) % 1.71/1.95 (step @p9817 :rule cong :premises (@p9816 @p9815) :args (@t657)) % 1.71/1.95 (step @p9818 :rule eq_resolve :premises (@p143 @p9817)) % 1.71/1.95 (step @p9819 :rule cong :premises (@p9818 @p9777) :args (@t6741)) % 1.71/1.95 (step @p9820 :rule aci_norm :args ((= @t6743 @t3189))) % 1.71/1.95 (step @p9821 :rule cong :premises (@p9820) :args (@t6744)) % 1.71/1.95 (step @p9822 :rule quant-merge-prenex :args ((= (forall @t245 @t6746) @t6744))) % 1.71/1.95 (step @p9823 :rule alpha_equiv :args (@t6747 (@list @t3186) @t3833)) % 1.71/1.95 (step @p9824 :rule nary_cong :premises (@p1601 @p9823) :args (@t6748)) % 1.71/1.95 (step @p9825 :rule quant-miniscope-or :args ((= @t6746 @t6748))) % 1.71/1.95 (step @p9826 :rule trans :premises (@p9825 @p9824)) % 1.71/1.95 (step @p9827 :rule symm :premises (@p9826)) % 1.71/1.95 (step @p9828 :rule cong :premises (@p9827) :args ((forall @t245 (or @t2357 @t6750)))) % 1.71/1.95 (step @p9829 :rule trans :premises (@p9828 @p9822)) % 1.71/1.95 (step @p9830 :rule trans :premises (@p9829 @p9821)) % 1.71/1.95 (step @p9831 :rule refl :args (@t6750)) % 1.71/1.95 (step @p9832 :rule nary_cong :premises (@p1615 @p9831) :args (@t6751)) % 1.71/1.95 (step @p9833 :rule cong :premises (@p9832) :args ((forall @t245 @t6751))) % 1.71/1.95 (step @p9834 :rule trans :premises (@p9833 @p9830)) % 1.71/1.95 (step @p9835 :rule bool-impl-elim :args (@t7 @t6750)) % 1.71/1.95 (step @p9836 :rule cong :premises (@p9835) :args ((forall @t245 (=> @t7 @t6750)))) % 1.71/1.95 (step @p9837 :rule trans :premises (@p9836 @p9834)) % 1.71/1.95 (step @p9838 :rule refl :args ((tptp.subset @t293 @t494))) % 1.71/1.95 (step @p9839 :rule cong :premises (@p6410 @p9650) :args (@t6749)) % 1.71/1.95 (step @p9840 :rule trans :premises (@p9839 @p9838)) % 1.71/1.95 (step @p9841 :rule ho_cong :premises (@p3662 @p6410)) % 1.71/1.95 (step @p9842 :rule ho_cong :premises (@p9841 @p9650)) % 1.71/1.95 (step @p9843 :rule cong :premises (@p9842 @p9840) :args ((= (_ (_ tptp.subset @t3067) @t3159) @t6749))) % 1.71/1.95 (step @p9844 :rule symm :premises (@p9843)) % 1.71/1.95 (step @p9845 :rule refl :args (@t648)) % 1.71/1.95 (step @p9846 :rule eq_resolve :premises (@p9845 @p9844)) % 1.71/1.95 (step @p9847 :rule ho_cong :premises (@p3662 @p6431)) % 1.71/1.95 (step @p9848 :rule ho_cong :premises (@p9847 @p9675)) % 1.71/1.95 (step @p9849 :rule trans :premises (@p9848 @p9846)) % 1.71/1.95 (step @p9850 :rule nary_cong :premises (@p3021 @p9849) :args (@t6752)) % 1.71/1.95 (step @p9851 :rule cong :premises (@p9850) :args ((forall @t70 @t6752))) % 1.71/1.95 (step @p9852 :rule bool-impl-elim :args (@t354 @t648)) % 1.71/1.95 (step @p9853 :rule cong :premises (@p9852) :args (@t649)) % 1.71/1.95 (step @p9854 :rule trans :premises (@p9853 @p9851)) % 1.71/1.95 (step @p9855 :rule cong :premises (@p1729 @p9854) :args (@t650)) % 1.71/1.95 (step @p9856 :rule cong :premises (@p9855) :args (@t651)) % 1.71/1.95 (step @p9857 :rule trans :premises (@p9856 @p9837)) % 1.71/1.95 (step @p9858 :rule refl :args (tptp.upairsubunion)) % 1.71/1.95 (step @p9859 :rule cong :premises (@p9858 @p9857) :args (@t652)) % 1.71/1.95 (step @p9860 :rule eq_resolve :premises (@p142 @p9859)) % 1.71/1.95 (step @p9861 :rule cong :premises (@p9860 @p9819) :args (@t6753)) % 1.71/1.95 (step @p9862 :rule eq-symm :args (@t3194 tptp.upairset2E)) % 1.71/1.95 (step @p9863 :rule refl :args (tptp.upairset2E)) % 1.71/1.95 (step @p9864 :rule refl :args (@t3192)) % 1.71/1.95 (step @p9865 :rule refl :args ((tptp.in @t289 @t293))) % 1.71/1.95 (step @p9866 :rule cong :premises (@p8902 @p6410) :args (@t3193)) % 1.71/1.95 (step @p9867 :rule trans :premises (@p9866 @p9865)) % 1.71/1.95 (step @p9868 :rule refl :args (@t294)) % 1.71/1.95 (step @p9869 :rule ho_cong :premises (@p9868 @p6410)) % 1.71/1.95 (step @p9870 :rule cong :premises (@p9869 @p9867) :args ((= (_ @t294 @t3067) @t3193))) % 1.71/1.95 (step @p9871 :rule symm :premises (@p9870)) % 1.71/1.95 (step @p9872 :rule refl :args (@t295)) % 1.71/1.95 (step @p9873 :rule eq_resolve :premises (@p9872 @p9871)) % 1.71/1.95 (step @p9874 :rule ho_cong :premises (@p9868 @p6431)) % 1.71/1.95 (step @p9875 :rule trans :premises (@p9874 @p9873)) % 1.71/1.95 (step @p9876 :rule cong :premises (@p9875) :args (@t6754)) % 1.71/1.95 (step @p9877 :rule nary_cong :premises (@p9876 @p9097 @p9864) :args (@t6755)) % 1.71/1.95 (step @p9878 :rule cong :premises (@p9877) :args ((forall @t297 @t6755))) % 1.71/1.95 (step @p9879 :rule aci_norm :args ((= (or @t6754 @t6756) @t6755))) % 1.71/1.95 (step @p9880 :rule bool-impl-elim :args (@t295 @t6756)) % 1.71/1.95 (step @p9881 :rule trans :premises (@p9880 @p9879)) % 1.71/1.95 (step @p9882 :rule cong :premises (@p9881) :args ((forall @t297 (=> @t295 @t6756)))) % 1.71/1.95 (step @p9883 :rule trans :premises (@p9882 @p9878)) % 1.71/1.95 (step @p9884 :rule nary_cong :premises (@p6738 @p6736) :args (@t292)) % 1.71/1.95 (step @p9885 :rule refl :args (@t295)) % 1.71/1.95 (step @p9886 :rule cong :premises (@p9885 @p9884) :args (@t296)) % 1.71/1.95 (step @p9887 :rule cong :premises (@p9886) :args (@t298)) % 1.71/1.95 (step @p9888 :rule trans :premises (@p9887 @p9883)) % 1.71/1.95 (step @p9889 :rule cong :premises (@p9888 @p9863) :args ((= @t298 tptp.upairset2E))) % 1.71/1.95 (step @p9890 :rule trans :premises (@p9889 @p9862)) % 1.71/1.95 (step @p9891 :rule eq-symm :args (tptp.upairset2E @t298)) % 1.71/1.95 (step @p9892 :rule trans :premises (@p9891 @p9890)) % 1.71/1.95 (step @p9893 :rule eq_resolve :premises (@p141 @p9892)) % 1.71/1.95 (step @p9894 :rule cong :premises (@p9893 @p9861) :args (@t6757)) % 1.71/1.95 (step @p9895 :rule refl :args ((tptp.in @t279 @t644))) % 1.71/1.95 (step @p9896 :rule cong :premises (@p6815 @p9652) :args (@t3195)) % 1.71/1.95 (step @p9897 :rule trans :premises (@p9896 @p9895)) % 1.71/1.95 (step @p9898 :rule ho_cong :premises (@p9185 @p9652)) % 1.71/1.95 (step @p9899 :rule cong :premises (@p9898 @p9897) :args ((= (_ @t6602 @t3160) @t3195))) % 1.71/1.95 (step @p9900 :rule symm :premises (@p9899)) % 1.71/1.95 (step @p9901 :rule refl :args (@t645)) % 1.71/1.95 (step @p9902 :rule eq_resolve :premises (@p9901 @p9900)) % 1.71/1.95 (step @p9903 :rule ho_cong :premises (@p9191 @p9677)) % 1.71/1.95 (step @p9904 :rule trans :premises (@p9903 @p9902)) % 1.71/1.95 (step @p9905 :rule nary_cong :premises (@p1615 @p9904) :args (@t6758)) % 1.71/1.95 (step @p9906 :rule cong :premises (@p9905) :args ((forall @t245 @t6758))) % 1.71/1.95 (step @p9907 :rule bool-impl-elim :args (@t7 @t645)) % 1.71/1.95 (step @p9908 :rule cong :premises (@p9907) :args (@t646)) % 1.71/1.95 (step @p9909 :rule trans :premises (@p9908 @p9906)) % 1.71/1.95 (step @p9910 :rule refl :args (tptp.singletoninpowunion)) % 1.71/1.95 (step @p9911 :rule cong :premises (@p9910 @p9909) :args (@t647)) % 1.71/1.95 (step @p9912 :rule eq_resolve :premises (@p140 @p9911)) % 1.71/1.95 (step @p9913 :rule cong :premises (@p9912 @p9894) :args (@t6759)) % 1.71/1.95 (step @p9914 :rule refl :args ((tptp.in @t279 @t33))) % 1.71/1.95 (step @p9915 :rule cong :premises (@p6815 @p3085) :args (@t3197)) % 1.71/1.95 (step @p9916 :rule trans :premises (@p9915 @p9914)) % 1.71/1.95 (step @p9917 :rule ho_cong :premises (@p9185 @p3085)) % 1.71/1.95 (step @p9918 :rule cong :premises (@p9917 @p9916) :args ((= (_ @t6602 @t2413) @t3197))) % 1.71/1.95 (step @p9919 :rule symm :premises (@p9918)) % 1.71/1.95 (step @p9920 :rule refl :args (@t641)) % 1.71/1.95 (step @p9921 :rule eq_resolve :premises (@p9920 @p9919)) % 1.71/1.95 (step @p9922 :rule ho_cong :premises (@p9191 @p3098)) % 1.71/1.95 (step @p9923 :rule trans :premises (@p9922 @p9921)) % 1.71/1.95 (step @p9924 :rule nary_cong :premises (@p1615 @p9923) :args (@t6760)) % 1.71/1.95 (step @p9925 :rule cong :premises (@p9924) :args ((forall @t46 @t6760))) % 1.71/1.95 (step @p9926 :rule bool-impl-elim :args (@t7 @t641)) % 1.71/1.95 (step @p9927 :rule cong :premises (@p9926) :args (@t642)) % 1.71/1.95 (step @p9928 :rule trans :premises (@p9927 @p9925)) % 1.71/1.95 (step @p9929 :rule refl :args (tptp.singletoninpowerset)) % 1.71/1.95 (step @p9930 :rule cong :premises (@p9929 @p9928) :args (@t643)) % 1.71/1.95 (step @p9931 :rule eq_resolve :premises (@p139 @p9930)) % 1.71/1.95 (step @p9932 :rule cong :premises (@p9931 @p9913) :args (@t6761)) % 1.71/1.95 (step @p9933 :rule refl :args ((tptp.subset @t279 @t2))) % 1.71/1.95 (step @p9934 :rule cong :premises (@p6815 @p973) :args (@t3199)) % 1.71/1.95 (step @p9935 :rule trans :premises (@p9934 @p9933)) % 1.71/1.95 (step @p9936 :rule ho_cong :premises (@p3662 @p6815)) % 1.71/1.95 (step @p9937 :rule ho_cong :premises (@p9936 @p973)) % 1.71/1.95 (step @p9938 :rule cong :premises (@p9937 @p9935) :args ((= (_ (_ tptp.subset @t2817) @t2) @t3199))) % 1.71/1.95 (step @p9939 :rule symm :premises (@p9938)) % 1.71/1.95 (step @p9940 :rule refl :args (@t637)) % 1.71/1.95 (step @p9941 :rule eq_resolve :premises (@p9940 @p9939)) % 1.71/1.95 (step @p9942 :rule ho_cong :premises (@p3662 @p6819)) % 1.71/1.95 (step @p9943 :rule ho_cong :premises (@p9942 @p973)) % 1.71/1.95 (step @p9944 :rule trans :premises (@p9943 @p9941)) % 1.71/1.95 (step @p9945 :rule nary_cong :premises (@p1615 @p9944) :args (@t6762)) % 1.71/1.95 (step @p9946 :rule cong :premises (@p9945) :args ((forall @t46 @t6762))) % 1.71/1.95 (step @p9947 :rule bool-impl-elim :args (@t7 @t637)) % 1.71/1.95 (step @p9948 :rule cong :premises (@p9947) :args (@t638)) % 1.71/1.95 (step @p9949 :rule trans :premises (@p9948 @p9946)) % 1.71/1.95 (step @p9950 :rule refl :args (tptp.singletonsubset)) % 1.71/1.95 (step @p9951 :rule cong :premises (@p9950 @p9949) :args (@t639)) % 1.71/1.95 (step @p9952 :rule eq_resolve :premises (@p138 @p9951)) % 1.71/1.95 (step @p9953 :rule cong :premises (@p9952 @p9932) :args (@t6763)) % 1.71/1.95 (step @p9954 :rule refl :args ((tptp.iskpair @t633))) % 1.71/1.95 (step @p9955 :rule cong :premises (@p1625) :args (@t3201)) % 1.71/1.95 (step @p9956 :rule trans :premises (@p9955 @p9954)) % 1.71/1.95 (step @p9957 :rule refl :args (tptp.iskpair)) % 1.71/1.95 (step @p9958 :rule ho_cong :premises (@p9957 @p1625)) % 1.71/1.95 (step @p9959 :rule cong :premises (@p9958 @p9956) :args ((= (_ tptp.iskpair @t2997) @t3201))) % 1.71/1.95 (step @p9960 :rule symm :premises (@p9959)) % 1.71/1.95 (step @p9961 :rule refl :args (@t634)) % 1.71/1.95 (step @p9962 :rule eq_resolve :premises (@p9961 @p9960)) % 1.71/1.95 (step @p9963 :rule ho_cong :premises (@p9957 @p1638)) % 1.71/1.95 (step @p9964 :rule trans :premises (@p9963 @p9962)) % 1.71/1.95 (step @p9965 :rule cong :premises (@p9964) :args (@t635)) % 1.71/1.95 (step @p9966 :rule refl :args (tptp.kpairp)) % 1.71/1.95 (step @p9967 :rule cong :premises (@p9966 @p9965) :args (@t636)) % 1.71/1.95 (step @p9968 :rule eq_resolve :premises (@p137 @p9967)) % 1.71/1.95 (step @p9969 :rule cong :premises (@p9968 @p9953) :args (@t6764)) % 1.71/1.95 (step @p9970 :rule refl :args ((tptp.iskpair @t621))) % 1.71/1.95 (step @p9971 :rule cong :premises (@p8950) :args (@t3203)) % 1.71/1.95 (step @p9972 :rule trans :premises (@p9971 @p9970)) % 1.71/1.95 (step @p9973 :rule ho_cong :premises (@p9957 @p8950)) % 1.71/1.95 (step @p9974 :rule cong :premises (@p9973 @p9972) :args ((= (_ tptp.iskpair @t3069) @t3203))) % 1.71/1.95 (step @p9975 :rule symm :premises (@p9974)) % 1.71/1.95 (step @p9976 :rule refl :args (@t629)) % 1.71/1.95 (step @p9977 :rule eq_resolve :premises (@p9976 @p9975)) % 1.71/1.95 (step @p9978 :rule ho_cong :premises (@p9957 @p8968)) % 1.71/1.95 (step @p9979 :rule trans :premises (@p9978 @p9977)) % 1.71/1.95 (step @p9980 :rule cong :premises (@p9979) :args (@t630)) % 1.71/1.95 (step @p9981 :rule refl :args (tptp.kpairiskpair)) % 1.71/1.95 (step @p9982 :rule cong :premises (@p9981 @p9980) :args (@t631)) % 1.71/1.95 (step @p9983 :rule eq_resolve :premises (@p136 @p9982)) % 1.71/1.95 (step @p9984 :rule cong :premises (@p9983 @p9969) :args (@t6765)) % 1.71/1.95 (step @p9985 :rule refl :args ((tptp.in @t19 @t622))) % 1.71/1.95 (step @p9986 :rule refl :args ((tptp.setunion @t621))) % 1.71/1.95 (step @p9987 :rule cong :premises (@p8950) :args (@t3205)) % 1.71/1.95 (step @p9988 :rule trans :premises (@p9987 @p9986)) % 1.71/1.95 (step @p9989 :rule cong :premises (@p1104 @p9988) :args (@t3206)) % 1.71/1.95 (step @p9990 :rule trans :premises (@p9989 @p9985)) % 1.71/1.95 (step @p9991 :rule ho_cong :premises (@p7105 @p9988)) % 1.71/1.95 (step @p9992 :rule cong :premises (@p9991 @p9990) :args ((= (_ @t20 @t3205) @t3206))) % 1.71/1.95 (step @p9993 :rule symm :premises (@p9992)) % 1.71/1.95 (step @p9994 :rule refl :args (@t626)) % 1.71/1.95 (step @p9995 :rule eq_resolve :premises (@p9994 @p9993)) % 1.71/1.95 (step @p9996 :rule ho_cong :premises (@p8315 @p8950)) % 1.71/1.95 (step @p9997 :rule cong :premises (@p9996 @p9988) :args ((= (_ tptp.setunion @t3069) @t3205))) % 1.71/1.95 (step @p9998 :rule symm :premises (@p9997)) % 1.71/1.95 (step @p9999 :rule refl :args (@t622)) % 1.71/1.95 (step @p10000 :rule eq_resolve :premises (@p9999 @p9998)) % 1.71/1.95 (step @p10001 :rule ho_cong :premises (@p8315 @p8968)) % 1.71/1.95 (step @p10002 :rule trans :premises (@p10001 @p10000)) % 1.71/1.95 (step @p10003 :rule ho_cong :premises (@p7105 @p10002)) % 1.71/1.95 (step @p10004 :rule trans :premises (@p10003 @p9995)) % 1.71/1.95 (step @p10005 :rule cong :premises (@p10004) :args (@t627)) % 1.71/1.95 (step @p10006 :rule refl :args (tptp.setukpairIR)) % 1.71/1.95 (step @p10007 :rule cong :premises (@p10006 @p10005) :args (@t628)) % 1.71/1.95 (step @p10008 :rule eq_resolve :premises (@p135 @p10007)) % 1.71/1.95 (step @p10009 :rule cong :premises (@p10008 @p9984) :args (@t6766)) % 1.71/1.95 (step @p10010 :rule refl :args ((tptp.in @t4 @t622))) % 1.71/1.95 (step @p10011 :rule cong :premises (@p976 @p9988) :args (@t3208)) % 1.71/1.95 (step @p10012 :rule trans :premises (@p10011 @p10010)) % 1.71/1.95 (step @p10013 :rule ho_cong :premises (@p979 @p9988)) % 1.71/1.95 (step @p10014 :rule cong :premises (@p10013 @p10012) :args ((= (_ @t5 @t3205) @t3208))) % 1.71/1.95 (step @p10015 :rule symm :premises (@p10014)) % 1.71/1.95 (step @p10016 :rule refl :args (@t623)) % 1.71/1.95 (step @p10017 :rule eq_resolve :premises (@p10016 @p10015)) % 1.71/1.95 (step @p10018 :rule ho_cong :premises (@p979 @p10002)) % 1.71/1.95 (step @p10019 :rule trans :premises (@p10018 @p10017)) % 1.71/1.95 (step @p10020 :rule cong :premises (@p10019) :args (@t624)) % 1.71/1.95 (step @p10021 :rule refl :args (tptp.setukpairIL)) % 1.71/1.95 (step @p10022 :rule cong :premises (@p10021 @p10020) :args (@t625)) % 1.71/1.95 (step @p10023 :rule eq_resolve :premises (@p134 @p10022)) % 1.71/1.95 (step @p10024 :rule cong :premises (@p10023 @p10009) :args (@t6767)) % 1.71/1.95 (step @p10025 :rule eq-symm :args (@t3211 tptp.secondinupair)) % 1.71/1.95 (step @p10026 :rule refl :args (tptp.secondinupair)) % 1.71/1.95 (step @p10027 :rule refl :args ((tptp.in @t19 @t293))) % 1.71/1.95 (step @p10028 :rule cong :premises (@p1104 @p6410) :args (@t3210)) % 1.71/1.95 (step @p10029 :rule trans :premises (@p10028 @p10027)) % 1.71/1.95 (step @p10030 :rule ho_cong :premises (@p7105 @p6410)) % 1.71/1.95 (step @p10031 :rule cong :premises (@p10030 @p10029) :args ((= (_ @t20 @t3067) @t3210))) % 1.71/1.95 (step @p10032 :rule symm :premises (@p10031)) % 1.71/1.95 (step @p10033 :rule refl :args (@t303)) % 1.71/1.95 (step @p10034 :rule eq_resolve :premises (@p10033 @p10032)) % 1.71/1.95 (step @p10035 :rule ho_cong :premises (@p7105 @p6431)) % 1.71/1.95 (step @p10036 :rule trans :premises (@p10035 @p10034)) % 1.71/1.95 (step @p10037 :rule cong :premises (@p10036) :args (@t304)) % 1.71/1.95 (step @p10038 :rule cong :premises (@p10037 @p10026) :args ((= @t304 tptp.secondinupair))) % 1.71/1.95 (step @p10039 :rule trans :premises (@p10038 @p10025)) % 1.71/1.95 (step @p10040 :rule eq-symm :args (tptp.secondinupair @t304)) % 1.71/1.95 (step @p10041 :rule trans :premises (@p10040 @p10039)) % 1.71/1.95 (step @p10042 :rule eq_resolve :premises (@p133 @p10041)) % 1.71/1.95 (step @p10043 :rule cong :premises (@p10042 @p10024) :args (@t6768)) % 1.71/1.95 (step @p10044 :rule refl :args ((tptp.in @t4 @t601))) % 1.71/1.95 (step @p10045 :rule refl :args (@t3212)) % 1.71/1.95 (step @p10046 :rule cong :premises (@p976 @p10045) :args (@t3213)) % 1.71/1.95 (step @p10047 :rule trans :premises (@p10046 @p10044)) % 1.71/1.95 (step @p10048 :rule ho_cong :premises (@p979 @p10045)) % 1.71/1.95 (step @p10049 :rule cong :premises (@p10048 @p10047) :args ((= (_ @t5 @t3212) @t3213))) % 1.71/1.95 (step @p10050 :rule symm :premises (@p10049)) % 1.71/1.95 (step @p10051 :rule refl :args (@t602)) % 1.71/1.95 (step @p10052 :rule eq_resolve :premises (@p10051 @p10050)) % 1.71/1.95 (step @p10053 :rule refl :args (@t601)) % 1.71/1.95 (step @p10054 :rule cong :premises (@p10053 @p10045) :args ((= @t601 @t3212))) % 1.71/1.95 (step @p10055 :rule symm :premises (@p10054)) % 1.71/1.95 (step @p10056 :rule eq_resolve :premises (@p10053 @p10055)) % 1.71/1.95 (step @p10057 :rule ho_cong :premises (@p979 @p10056)) % 1.71/1.95 (step @p10058 :rule trans :premises (@p10057 @p10052)) % 1.71/1.95 (step @p10059 :rule cong :premises (@p10058) :args (@t612)) % 1.71/1.95 (step @p10060 :rule nary_cong :premises (@p1614 @p1147 @p10059) :args (@t6769)) % 1.71/1.95 (step @p10061 :rule cong :premises (@p10060) :args ((forall @t245 @t6769))) % 1.71/1.95 (step @p10062 :rule aci_norm :args ((= (or @t7 (or @t6 @t612)) @t6769))) % 1.71/1.95 (step @p10063 :rule refl :args (@t612)) % 1.71/1.95 (step @p10064 :rule bool-double-not-elim :args (@t6)) % 1.71/1.95 (step @p10065 :rule nary_cong :premises (@p10064 @p10063) :args ((or @t6770 @t612))) % 1.71/1.95 (step @p10066 :rule bool-impl-elim :args (@t437 @t612)) % 1.71/1.95 (step @p10067 :rule trans :premises (@p10066 @p10065)) % 1.71/1.95 (step @p10068 :rule nary_cong :premises (@p1611 @p10067) :args ((or @t7 @t616))) % 1.71/1.95 (step @p10069 :rule trans :premises (@p10068 @p10062)) % 1.71/1.95 (step @p10070 :rule refl :args (@t616)) % 1.71/1.95 (step @p10071 :rule bool-double-not-elim :args (@t7)) % 1.71/1.95 (step @p10072 :rule nary_cong :premises (@p10071 @p10070) :args ((or @t6771 @t616))) % 1.71/1.95 (step @p10073 :rule bool-impl-elim :args (@t197 @t616)) % 1.71/1.95 (step @p10074 :rule trans :premises (@p10073 @p10072)) % 1.71/1.95 (step @p10075 :rule trans :premises (@p10074 @p10069)) % 1.71/1.95 (step @p10076 :rule cong :premises (@p10075) :args (@t617)) % 1.71/1.95 (step @p10077 :rule trans :premises (@p10076 @p10061)) % 1.71/1.95 (step @p10078 :rule refl :args (tptp.symdiffIneg2)) % 1.71/1.95 (step @p10079 :rule cong :premises (@p10078 @p10077) :args (@t618)) % 1.71/1.95 (step @p10080 :rule eq_resolve :premises (@p132 @p10079)) % 1.71/1.95 (step @p10081 :rule cong :premises (@p10080 @p10043) :args (@t6772)) % 1.71/1.95 (step @p10082 :rule cong :premises (@p1147) :args (@t437)) % 1.71/1.95 (step @p10083 :rule nary_cong :premises (@p1615 @p10082 @p10059) :args (@t6773)) % 1.71/1.95 (step @p10084 :rule cong :premises (@p10083) :args ((forall @t245 @t6773))) % 1.71/1.95 (step @p10085 :rule aci_norm :args ((= (or @t197 (or @t437 @t612)) @t6773))) % 1.71/1.95 (step @p10086 :rule bool-impl-elim :args (@t6 @t612)) % 1.71/1.95 (step @p10087 :rule nary_cong :premises (@p4095 @p10086) :args ((or @t197 @t613))) % 1.71/1.95 (step @p10088 :rule trans :premises (@p10087 @p10085)) % 1.71/1.95 (step @p10089 :rule bool-impl-elim :args (@t7 @t613)) % 1.71/1.95 (step @p10090 :rule trans :premises (@p10089 @p10088)) % 1.71/1.95 (step @p10091 :rule cong :premises (@p10090) :args (@t614)) % 1.71/1.95 (step @p10092 :rule trans :premises (@p10091 @p10084)) % 1.71/1.95 (step @p10093 :rule refl :args (tptp.symdiffIneg1)) % 1.71/1.95 (step @p10094 :rule cong :premises (@p10093 @p10092) :args (@t615)) % 1.71/1.95 (step @p10095 :rule eq_resolve :premises (@p131 @p10094)) % 1.71/1.95 (step @p10096 :rule cong :premises (@p10095 @p10081) :args (@t6774)) % 1.71/1.95 (step @p10097 :rule nary_cong :premises (@p1614 @p10082 @p10058) :args (@t6775)) % 1.71/1.95 (step @p10098 :rule cong :premises (@p10097) :args ((forall @t245 @t6775))) % 1.71/1.95 (step @p10099 :rule aci_norm :args ((= (or @t7 (or @t437 @t602)) @t6775))) % 1.71/1.95 (step @p10100 :rule bool-impl-elim :args (@t6 @t602)) % 1.71/1.95 (step @p10101 :rule nary_cong :premises (@p1611 @p10100) :args ((or @t7 @t609))) % 1.71/1.95 (step @p10102 :rule trans :premises (@p10101 @p10099)) % 1.71/1.95 (step @p10103 :rule refl :args (@t609)) % 1.71/1.95 (step @p10104 :rule nary_cong :premises (@p10071 @p10103) :args ((or @t6771 @t609))) % 1.71/1.95 (step @p10105 :rule bool-impl-elim :args (@t197 @t609)) % 1.71/1.95 (step @p10106 :rule trans :premises (@p10105 @p10104)) % 1.71/1.95 (step @p10107 :rule trans :premises (@p10106 @p10102)) % 1.71/1.95 (step @p10108 :rule cong :premises (@p10107) :args (@t610)) % 1.71/1.95 (step @p10109 :rule trans :premises (@p10108 @p10098)) % 1.71/1.95 (step @p10110 :rule refl :args (tptp.symdiffI2)) % 1.71/1.95 (step @p10111 :rule cong :premises (@p10110 @p10109) :args (@t611)) % 1.71/1.95 (step @p10112 :rule eq_resolve :premises (@p130 @p10111)) % 1.71/1.95 (step @p10113 :rule cong :premises (@p10112 @p10096) :args (@t6776)) % 1.71/1.95 (step @p10114 :rule nary_cong :premises (@p1615 @p1147 @p10058) :args (@t6777)) % 1.71/1.95 (step @p10115 :rule cong :premises (@p10114) :args ((forall @t245 @t6777))) % 1.71/1.95 (step @p10116 :rule aci_norm :args ((= (or @t197 (or @t6 @t602)) @t6777))) % 1.71/1.95 (step @p10117 :rule nary_cong :premises (@p10064 @p10051) :args ((or @t6770 @t602))) % 1.71/1.95 (step @p10118 :rule bool-impl-elim :args (@t437 @t602)) % 1.71/1.95 (step @p10119 :rule trans :premises (@p10118 @p10117)) % 1.71/1.95 (step @p10120 :rule nary_cong :premises (@p4095 @p10119) :args ((or @t197 @t606))) % 1.71/1.95 (step @p10121 :rule trans :premises (@p10120 @p10116)) % 1.71/1.95 (step @p10122 :rule bool-impl-elim :args (@t7 @t606)) % 1.71/1.95 (step @p10123 :rule trans :premises (@p10122 @p10121)) % 1.71/1.95 (step @p10124 :rule cong :premises (@p10123) :args (@t607)) % 1.71/1.95 (step @p10125 :rule trans :premises (@p10124 @p10115)) % 1.71/1.95 (step @p10126 :rule refl :args (tptp.symdiffI1)) % 1.71/1.95 (step @p10127 :rule cong :premises (@p10126 @p10125) :args (@t608)) % 1.71/1.95 (step @p10128 :rule eq_resolve :premises (@p129 @p10127)) % 1.71/1.95 (step @p10129 :rule cong :premises (@p10128 @p10113) :args (@t6778)) % 1.71/1.95 (step @p10130 :rule refl :args (@t3219)) % 1.71/1.95 (step @p10131 :rule refl :args (@t3220)) % 1.71/1.95 (step @p10132 :rule nary_cong :premises (@p10059 @p10131 @p10130) :args (@t6779)) % 1.71/1.95 (step @p10133 :rule cong :premises (@p10132) :args ((forall @t245 @t6779))) % 1.71/1.95 (step @p10134 :rule aci_norm :args ((= (or @t612 @t6780) @t6779))) % 1.71/1.95 (step @p10135 :rule bool-impl-elim :args (@t602 @t6780)) % 1.71/1.95 (step @p10136 :rule trans :premises (@p10135 @p10134)) % 1.71/1.95 (step @p10137 :rule cong :premises (@p10136) :args ((forall @t245 (=> @t602 @t6780)))) % 1.71/1.95 (step @p10138 :rule trans :premises (@p10137 @p10133)) % 1.71/1.95 (step @p10139 :rule aci_norm :args ((= (and @t2357 @t2179 true) @t3219))) % 1.71/1.95 (step @p10140 :rule refl :args (@t2179)) % 1.71/1.95 (step @p10141 :rule nary_cong :premises (@p4685 @p10140 @p1657) :args (@t6781)) % 1.71/1.95 (step @p10142 :rule trans :premises (@p10141 @p10139)) % 1.71/1.95 (step @p10143 :rule aci_norm :args ((= (and @t2356 @t2180 true) @t3220))) % 1.71/1.95 (step @p10144 :rule refl :args (@t2180)) % 1.71/1.95 (step @p10145 :rule nary_cong :premises (@p8445 @p10144 @p1657) :args (@t6782)) % 1.71/1.95 (step @p10146 :rule trans :premises (@p10145 @p10143)) % 1.71/1.95 (step @p10147 :rule nary_cong :premises (@p10146 @p10142) :args (@t6783)) % 1.71/1.95 (step @p10148 :rule aci_norm :args ((= @t6784 @t6783))) % 1.71/1.95 (step @p10149 :rule trans :premises (@p10148 @p10147)) % 1.71/1.95 (step @p10150 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t6786 @t6785 @t173)) @t6784))) % 1.71/1.95 (step @p10151 :rule refl :args (@t6785)) % 1.71/1.95 (step @p10152 :rule refl :args (@t6786)) % 1.71/1.95 (step @p10153 :rule nary_cong :premises (@p1677 @p10152 @p10151 @p1669) :args (@t6787)) % 1.71/1.95 (step @p10154 :rule aci_norm :args ((= @t6788 @t6787))) % 1.71/1.95 (step @p10155 :rule trans :premises (@p10154 @p10153)) % 1.71/1.95 (step @p10156 :rule cong :premises (@p10155) :args ((forall @t179 @t6788))) % 1.71/1.95 (step @p10157 :rule trans :premises (@p10156 @p10150)) % 1.71/1.95 (step @p10158 :rule trans :premises (@p10157 @p10149)) % 1.71/1.95 (step @p10159 :rule nary_cong :premises (@p1615 @p1147 @p1684) :args (@t6789)) % 1.71/1.95 (step @p10160 :rule nary_cong :premises (@p1614 @p10082 @p1684) :args (@t6790)) % 1.71/1.95 (step @p10161 :rule nary_cong :premises (@p10160 @p10159 @p1669) :args (@t6791)) % 1.71/1.95 (step @p10162 :rule cong :premises (@p10161) :args ((forall @t179 @t6791))) % 1.71/1.95 (step @p10163 :rule trans :premises (@p10162 @p10158)) % 1.71/1.95 (step @p10164 :rule aci_norm :args ((= (or @t6790 (or @t6789 @t173)) @t6791))) % 1.71/1.95 (step @p10165 :rule aci_norm :args ((= (and @t197 @t6792) @t6789))) % 1.71/1.95 (step @p10166 :rule bool-implies-de-morgan :args (@t6 @t173)) % 1.71/1.95 (step @p10167 :rule nary_cong :premises (@p4095 @p10166) :args ((and @t197 @t6793))) % 1.71/1.95 (step @p10168 :rule trans :premises (@p10167 @p10165)) % 1.71/1.95 (step @p10169 :rule bool-implies-de-morgan :args (@t197 @t500)) % 1.71/1.95 (step @p10170 :rule trans :premises (@p10169 @p10168)) % 1.71/1.95 (step @p10171 :rule nary_cong :premises (@p10170 @p1669) :args ((or (not @t596) @t173))) % 1.71/1.95 (step @p10172 :rule bool-impl-elim :args (@t596 @t173)) % 1.71/1.95 (step @p10173 :rule trans :premises (@p10172 @p10171)) % 1.71/1.95 (step @p10174 :rule aci_norm :args ((= (and @t7 (and @t437 @t1064)) @t6790))) % 1.71/1.95 (step @p10175 :rule bool-implies-de-morgan :args (@t437 @t173)) % 1.71/1.95 (step @p10176 :rule nary_cong :premises (@p1611 @p10175) :args ((and @t7 (not @t598)))) % 1.71/1.95 (step @p10177 :rule trans :premises (@p10176 @p10174)) % 1.71/1.95 (step @p10178 :rule bool-implies-de-morgan :args (@t7 @t598)) % 1.71/1.95 (step @p10179 :rule trans :premises (@p10178 @p10177)) % 1.71/1.95 (step @p10180 :rule nary_cong :premises (@p10179 @p10173) :args ((or (not @t599) @t597))) % 1.71/1.95 (step @p10181 :rule trans :premises (@p10180 @p10164)) % 1.71/1.95 (step @p10182 :rule bool-impl-elim :args (@t599 @t597)) % 1.71/1.95 (step @p10183 :rule trans :premises (@p10182 @p10181)) % 1.71/1.95 (step @p10184 :rule cong :premises (@p10183) :args (@t600)) % 1.71/1.95 (step @p10185 :rule trans :premises (@p10184 @p10163)) % 1.71/1.95 (step @p10186 :rule refl :args (@t602)) % 1.71/1.95 (step @p10187 :rule cong :premises (@p10186 @p10185) :args (@t603)) % 1.71/1.95 (step @p10188 :rule cong :premises (@p10187) :args (@t604)) % 1.71/1.95 (step @p10189 :rule trans :premises (@p10188 @p10138)) % 1.71/1.95 (step @p10190 :rule refl :args (tptp.symdiffE)) % 1.71/1.95 (step @p10191 :rule cong :premises (@p10190 @p10189) :args (@t605)) % 1.71/1.95 (step @p10192 :rule eq_resolve :premises (@p128 @p10191)) % 1.71/1.95 (step @p10193 :rule cong :premises (@p10192 @p10129) :args (@t6794)) % 1.71/1.95 (step @p10194 :rule refl :args (@t3222)) % 1.71/1.95 (step @p10195 :rule refl :args (@t422)) % 1.71/1.95 (step @p10196 :rule cong :premises (@p10195 @p10194) :args ((= @t422 @t3222))) % 1.71/1.95 (step @p10197 :rule symm :premises (@p10196)) % 1.71/1.95 (step @p10198 :rule eq_resolve :premises (@p10195 @p10197)) % 1.71/1.95 (step @p10199 :rule refl :args (@t3223)) % 1.71/1.95 (step @p10200 :rule refl :args (@t568)) % 1.71/1.95 (step @p10201 :rule cong :premises (@p10200 @p10199) :args ((= @t568 @t3223))) % 1.71/1.95 (step @p10202 :rule symm :premises (@p10201)) % 1.71/1.95 (step @p10203 :rule eq_resolve :premises (@p10200 @p10202)) % 1.71/1.95 (step @p10204 :rule cong :premises (@p377 @p10203) :args (@t6795)) % 1.71/1.95 (step @p10205 :rule cong :premises (@p10204) :args (@t6796)) % 1.71/1.95 (step @p10206 :rule nary_cong :premises (@p10205 @p10198) :args (@t6797)) % 1.71/1.95 (step @p10207 :rule cong :premises (@p10206) :args ((forall @t12 @t6797))) % 1.71/1.95 (step @p10208 :rule bool-impl-elim :args (@t6795 @t422)) % 1.71/1.95 (step @p10209 :rule cong :premises (@p10208) :args ((forall @t12 (=> @t6795 @t422)))) % 1.71/1.95 (step @p10210 :rule trans :premises (@p10209 @p10207)) % 1.71/1.95 (step @p10211 :rule refl :args (@t422)) % 1.71/1.95 (step @p10212 :rule eq-symm :args (@t568 tptp.emptyset)) % 1.71/1.95 (step @p10213 :rule cong :premises (@p10212 @p10211) :args (@t593)) % 1.71/1.95 (step @p10214 :rule cong :premises (@p10213) :args (@t594)) % 1.71/1.95 (step @p10215 :rule trans :premises (@p10214 @p10210)) % 1.71/1.95 (step @p10216 :rule refl :args (tptp.setminusSubset1)) % 1.71/1.95 (step @p10217 :rule cong :premises (@p10216 @p10215) :args (@t595)) % 1.71/1.95 (step @p10218 :rule eq_resolve :premises (@p127 @p10217)) % 1.71/1.95 (step @p10219 :rule cong :premises (@p10218 @p10193) :args (@t6798)) % 1.71/1.95 (step @p10220 :rule refl :args ((tptp.subset @t568 @t2))) % 1.71/1.95 (step @p10221 :rule cong :premises (@p10199 @p973) :args (@t3226)) % 1.71/1.95 (step @p10222 :rule trans :premises (@p10221 @p10220)) % 1.71/1.95 (step @p10223 :rule ho_cong :premises (@p3662 @p10199)) % 1.71/1.95 (step @p10224 :rule ho_cong :premises (@p10223 @p973)) % 1.71/1.95 (step @p10225 :rule cong :premises (@p10224 @p10222) :args ((= (_ (_ tptp.subset @t3223) @t2) @t3226))) % 1.71/1.95 (step @p10226 :rule symm :premises (@p10225)) % 1.71/1.95 (step @p10227 :rule refl :args (@t590)) % 1.71/1.95 (step @p10228 :rule eq_resolve :premises (@p10227 @p10226)) % 1.71/1.95 (step @p10229 :rule ho_cong :premises (@p3662 @p10203)) % 1.71/1.95 (step @p10230 :rule ho_cong :premises (@p10229 @p973)) % 1.71/1.95 (step @p10231 :rule trans :premises (@p10230 @p10228)) % 1.71/1.95 (step @p10232 :rule cong :premises (@p10231) :args (@t591)) % 1.71/1.95 (step @p10233 :rule refl :args (tptp.setminusLsub)) % 1.71/1.95 (step @p10234 :rule cong :premises (@p10233 @p10232) :args (@t592)) % 1.71/1.95 (step @p10235 :rule eq_resolve :premises (@p126 @p10234)) % 1.71/1.95 (step @p10236 :rule cong :premises (@p10235 @p10219) :args (@t6799)) % 1.71/1.95 (step @p10237 :rule refl :args ((tptp.in @t4 @t568))) % 1.71/1.95 (step @p10238 :rule cong :premises (@p976 @p10199) :args (@t3228)) % 1.71/1.95 (step @p10239 :rule trans :premises (@p10238 @p10237)) % 1.71/1.95 (step @p10240 :rule ho_cong :premises (@p979 @p10199)) % 1.71/1.95 (step @p10241 :rule cong :premises (@p10240 @p10239) :args ((= (_ @t5 @t3223) @t3228))) % 1.71/1.95 (step @p10242 :rule symm :premises (@p10241)) % 1.71/1.95 (step @p10243 :rule refl :args (@t569)) % 1.71/1.95 (step @p10244 :rule eq_resolve :premises (@p10243 @p10242)) % 1.71/1.95 (step @p10245 :rule ho_cong :premises (@p979 @p10203)) % 1.71/1.95 (step @p10246 :rule trans :premises (@p10245 @p10244)) % 1.71/1.95 (step @p10247 :rule cong :premises (@p10246) :args (@t581)) % 1.71/1.95 (step @p10248 :rule nary_cong :premises (@p10082 @p10247) :args (@t6800)) % 1.71/1.95 (step @p10249 :rule cong :premises (@p10248) :args ((forall @t245 @t6800))) % 1.71/1.95 (step @p10250 :rule bool-impl-elim :args (@t6 @t581)) % 1.71/1.95 (step @p10251 :rule cong :premises (@p10250) :args (@t588)) % 1.71/1.95 (step @p10252 :rule trans :premises (@p10251 @p10249)) % 1.71/1.95 (step @p10253 :rule refl :args (tptp.setminusIRneg)) % 1.71/1.95 (step @p10254 :rule cong :premises (@p10253 @p10252) :args (@t589)) % 1.71/1.95 (step @p10255 :rule eq_resolve :premises (@p125 @p10254)) % 1.71/1.95 (step @p10256 :rule cong :premises (@p10255 @p10236) :args (@t6801)) % 1.71/1.95 (step @p10257 :rule nary_cong :premises (@p1614 @p10247) :args (@t6802)) % 1.71/1.95 (step @p10258 :rule cong :premises (@p10257) :args ((forall @t245 @t6802))) % 1.71/1.95 (step @p10259 :rule refl :args (@t581)) % 1.71/1.95 (step @p10260 :rule nary_cong :premises (@p10071 @p10259) :args ((or @t6771 @t581))) % 1.71/1.95 (step @p10261 :rule bool-impl-elim :args (@t197 @t581)) % 1.71/1.95 (step @p10262 :rule trans :premises (@p10261 @p10260)) % 1.71/1.95 (step @p10263 :rule cong :premises (@p10262) :args (@t586)) % 1.71/1.95 (step @p10264 :rule trans :premises (@p10263 @p10258)) % 1.71/1.95 (step @p10265 :rule refl :args (tptp.setminusILneg)) % 1.71/1.95 (step @p10266 :rule cong :premises (@p10265 @p10264) :args (@t587)) % 1.71/1.95 (step @p10267 :rule eq_resolve :premises (@p124 @p10266)) % 1.71/1.95 (step @p10268 :rule cong :premises (@p10267 @p10256) :args (@t6803)) % 1.71/1.95 (step @p10269 :rule nary_cong :premises (@p10246 @p1147 @p1615) :args (@t6804)) % 1.71/1.95 (step @p10270 :rule cong :premises (@p10269) :args ((forall @t245 @t6804))) % 1.71/1.95 (step @p10271 :rule aci_norm :args ((= (or @t569 @t6805) @t6804))) % 1.71/1.95 (step @p10272 :rule nary_cong :premises (@p10064 @p4095) :args ((or @t6770 @t197))) % 1.71/1.95 (step @p10273 :rule bool-impl-elim :args (@t437 @t197)) % 1.71/1.95 (step @p10274 :rule trans :premises (@p10273 @p10272)) % 1.71/1.95 (step @p10275 :rule nary_cong :premises (@p10243 @p10274) :args ((or @t569 @t438))) % 1.71/1.95 (step @p10276 :rule trans :premises (@p10275 @p10271)) % 1.71/1.95 (step @p10277 :rule refl :args (@t438)) % 1.71/1.95 (step @p10278 :rule bool-double-not-elim :args (@t569)) % 1.71/1.95 (step @p10279 :rule nary_cong :premises (@p10278 @p10277) :args ((or @t6806 @t438))) % 1.71/1.95 (step @p10280 :rule bool-impl-elim :args (@t581 @t438)) % 1.71/1.95 (step @p10281 :rule trans :premises (@p10280 @p10279)) % 1.71/1.95 (step @p10282 :rule trans :premises (@p10281 @p10276)) % 1.71/1.95 (step @p10283 :rule cong :premises (@p10282) :args (@t584)) % 1.71/1.95 (step @p10284 :rule trans :premises (@p10283 @p10270)) % 1.71/1.95 (step @p10285 :rule refl :args (tptp.setminusELneg)) % 1.71/1.95 (step @p10286 :rule cong :premises (@p10285 @p10284) :args (@t585)) % 1.71/1.95 (step @p10287 :rule eq_resolve :premises (@p123 @p10286)) % 1.71/1.95 (step @p10288 :rule cong :premises (@p10287 @p10268) :args (@t6807)) % 1.71/1.95 (step @p10289 :rule nary_cong :premises (@p10246 @p1615 @p1147) :args (@t6808)) % 1.71/1.95 (step @p10290 :rule cong :premises (@p10289) :args ((forall @t245 @t6808))) % 1.71/1.95 (step @p10291 :rule aci_norm :args ((= (or @t569 @t6809) @t6808))) % 1.71/1.95 (step @p10292 :rule bool-impl-elim :args (@t7 @t6)) % 1.71/1.95 (step @p10293 :rule nary_cong :premises (@p10243 @p10292) :args ((or @t569 @t191))) % 1.71/1.95 (step @p10294 :rule trans :premises (@p10293 @p10291)) % 1.71/1.95 (step @p10295 :rule refl :args (@t191)) % 1.71/1.95 (step @p10296 :rule nary_cong :premises (@p10278 @p10295) :args ((or @t6806 @t191))) % 1.71/1.95 (step @p10297 :rule bool-impl-elim :args (@t581 @t191)) % 1.71/1.95 (step @p10298 :rule trans :premises (@p10297 @p10296)) % 1.71/1.95 (step @p10299 :rule trans :premises (@p10298 @p10294)) % 1.71/1.95 (step @p10300 :rule cong :premises (@p10299) :args (@t582)) % 1.71/1.95 (step @p10301 :rule trans :premises (@p10300 @p10290)) % 1.71/1.95 (step @p10302 :rule refl :args (tptp.setminusERneg)) % 1.71/1.95 (step @p10303 :rule cong :premises (@p10302 @p10301) :args (@t583)) % 1.71/1.95 (step @p10304 :rule eq_resolve :premises (@p122 @p10303)) % 1.71/1.95 (step @p10305 :rule cong :premises (@p10304 @p10288) :args (@t6810)) % 1.71/1.95 (step @p10306 :rule cong :premises (@p10198) :args (@t441)) % 1.71/1.95 (step @p10307 :rule nary_cong :premises (@p10306 @p10204) :args (@t6811)) % 1.71/1.95 (step @p10308 :rule cong :premises (@p10307) :args ((forall @t12 @t6811))) % 1.71/1.95 (step @p10309 :rule bool-impl-elim :args (@t422 @t6795)) % 1.71/1.95 (step @p10310 :rule cong :premises (@p10309) :args ((forall @t12 (=> @t422 @t6795)))) % 1.71/1.95 (step @p10311 :rule trans :premises (@p10310 @p10308)) % 1.71/1.95 (step @p10312 :rule cong :premises (@p10211 @p10212) :args (@t578)) % 1.71/1.95 (step @p10313 :rule cong :premises (@p10312) :args (@t579)) % 1.71/1.95 (step @p10314 :rule trans :premises (@p10313 @p10311)) % 1.71/1.95 (step @p10315 :rule refl :args (tptp.setminusSubset2)) % 1.71/1.95 (step @p10316 :rule cong :premises (@p10315 @p10314) :args (@t580)) % 1.71/1.95 (step @p10317 :rule eq_resolve :premises (@p121 @p10316)) % 1.71/1.95 (step @p10318 :rule cong :premises (@p10317 @p10305) :args (@t6812)) % 1.71/1.95 (step @p10319 :rule nary_cong :premises (@p10247 @p10082) :args (@t6813)) % 1.71/1.95 (step @p10320 :rule cong :premises (@p10319) :args ((forall @t245 @t6813))) % 1.71/1.95 (step @p10321 :rule bool-impl-elim :args (@t569 @t437)) % 1.71/1.95 (step @p10322 :rule cong :premises (@p10321) :args (@t575)) % 1.71/1.95 (step @p10323 :rule trans :premises (@p10322 @p10320)) % 1.71/1.95 (step @p10324 :rule refl :args (tptp.setminusER)) % 1.71/1.95 (step @p10325 :rule cong :premises (@p10324 @p10323) :args (@t576)) % 1.71/1.95 (step @p10326 :rule eq_resolve :premises (@p120 @p10325)) % 1.71/1.95 (step @p10327 :rule cong :premises (@p10326 @p10318) :args (@t6814)) % 1.71/1.95 (step @p10328 :rule nary_cong :premises (@p10247 @p1614) :args (@t6815)) % 1.71/1.95 (step @p10329 :rule cong :premises (@p10328) :args ((forall @t245 @t6815))) % 1.71/1.95 (step @p10330 :rule bool-impl-elim :args (@t569 @t7)) % 1.71/1.95 (step @p10331 :rule cong :premises (@p10330) :args (@t573)) % 1.71/1.95 (step @p10332 :rule trans :premises (@p10331 @p10329)) % 1.71/1.95 (step @p10333 :rule refl :args (tptp.setminusEL)) % 1.71/1.95 (step @p10334 :rule cong :premises (@p10333 @p10332) :args (@t574)) % 1.71/1.95 (step @p10335 :rule eq_resolve :premises (@p119 @p10334)) % 1.71/1.95 (step @p10336 :rule cong :premises (@p10335 @p10327) :args (@t6816)) % 1.71/1.95 (step @p10337 :rule nary_cong :premises (@p1615 @p1147 @p10246) :args (@t6817)) % 1.71/1.95 (step @p10338 :rule cong :premises (@p10337) :args ((forall @t245 @t6817))) % 1.71/1.95 (step @p10339 :rule aci_norm :args ((= (or @t197 (or @t6 @t569)) @t6817))) % 1.71/1.95 (step @p10340 :rule nary_cong :premises (@p10064 @p10243) :args ((or @t6770 @t569))) % 1.71/1.95 (step @p10341 :rule bool-impl-elim :args (@t437 @t569)) % 1.71/1.95 (step @p10342 :rule trans :premises (@p10341 @p10340)) % 1.71/1.95 (step @p10343 :rule nary_cong :premises (@p4095 @p10342) :args ((or @t197 @t570))) % 1.71/1.95 (step @p10344 :rule trans :premises (@p10343 @p10339)) % 1.71/1.95 (step @p10345 :rule bool-impl-elim :args (@t7 @t570)) % 1.71/1.95 (step @p10346 :rule trans :premises (@p10345 @p10344)) % 1.71/1.95 (step @p10347 :rule cong :premises (@p10346) :args (@t571)) % 1.71/1.95 (step @p10348 :rule trans :premises (@p10347 @p10338)) % 1.71/1.95 (step @p10349 :rule refl :args (tptp.setminusI)) % 1.71/1.95 (step @p10350 :rule cong :premises (@p10349 @p10348) :args (@t572)) % 1.71/1.95 (step @p10351 :rule eq_resolve :premises (@p118 @p10350)) % 1.71/1.95 (step @p10352 :rule cong :premises (@p10351 @p10336) :args (@t6818)) % 1.71/1.95 (step @p10353 :rule refl :args ((tptp.binunion @t517 @t560))) % 1.71/1.95 (step @p10354 :rule refl :args (@t3239)) % 1.71/1.95 (step @p10355 :rule refl :args (@t3240)) % 1.71/1.95 (step @p10356 :rule cong :premises (@p10355 @p10354) :args (@t3241)) % 1.71/1.95 (step @p10357 :rule trans :premises (@p10356 @p10353)) % 1.71/1.95 (step @p10358 :rule ho_cong :premises (@p1276 @p10355)) % 1.71/1.95 (step @p10359 :rule ho_cong :premises (@p10358 @p10354)) % 1.71/1.95 (step @p10360 :rule cong :premises (@p10359 @p10357) :args ((= (_ (_ tptp.binunion @t3240) @t3239) @t3241))) % 1.71/1.95 (step @p10361 :rule symm :premises (@p10360)) % 1.71/1.95 (step @p10362 :rule refl :args (@t561)) % 1.71/1.95 (step @p10363 :rule eq_resolve :premises (@p10362 @p10361)) % 1.71/1.95 (step @p10364 :rule refl :args (@t560)) % 1.71/1.95 (step @p10365 :rule cong :premises (@p10364 @p10354) :args ((= @t560 @t3239))) % 1.71/1.95 (step @p10366 :rule symm :premises (@p10365)) % 1.71/1.95 (step @p10367 :rule eq_resolve :premises (@p10364 @p10366)) % 1.71/1.95 (step @p10368 :rule refl :args (@t517)) % 1.71/1.95 (step @p10369 :rule cong :premises (@p10368 @p10355) :args ((= @t517 @t3240))) % 1.71/1.95 (step @p10370 :rule symm :premises (@p10369)) % 1.71/1.95 (step @p10371 :rule eq_resolve :premises (@p10368 @p10370)) % 1.71/1.95 (step @p10372 :rule ho_cong :premises (@p1276 @p10371)) % 1.71/1.95 (step @p10373 :rule ho_cong :premises (@p10372 @p10367)) % 1.71/1.95 (step @p10374 :rule trans :premises (@p10373 @p10363)) % 1.71/1.95 (step @p10375 :rule refl :args ((tptp.binintersect @t2 @t562))) % 1.71/1.95 (step @p10376 :rule refl :args (@t3242)) % 1.71/1.95 (step @p10377 :rule cong :premises (@p973 @p10376) :args (@t3243)) % 1.71/1.95 (step @p10378 :rule trans :premises (@p10377 @p10375)) % 1.71/1.95 (step @p10379 :rule refl :args (@t516)) % 1.71/1.95 (step @p10380 :rule ho_cong :premises (@p10379 @p10376)) % 1.71/1.95 (step @p10381 :rule cong :premises (@p10380 @p10378) :args ((= (_ @t516 @t3242) @t3243))) % 1.71/1.95 (step @p10382 :rule symm :premises (@p10381)) % 1.71/1.95 (step @p10383 :rule refl :args (@t563)) % 1.71/1.95 (step @p10384 :rule eq_resolve :premises (@p10383 @p10382)) % 1.71/1.95 (step @p10385 :rule refl :args (@t562)) % 1.71/1.95 (step @p10386 :rule cong :premises (@p10385 @p10376) :args ((= @t562 @t3242))) % 1.71/1.95 (step @p10387 :rule symm :premises (@p10386)) % 1.71/1.95 (step @p10388 :rule eq_resolve :premises (@p10385 @p10387)) % 1.71/1.95 (step @p10389 :rule ho_cong :premises (@p10379 @p10388)) % 1.71/1.95 (step @p10390 :rule trans :premises (@p10389 @p10384)) % 1.71/1.95 (step @p10391 :rule cong :premises (@p10390 @p10374) :args (@t564)) % 1.71/1.95 (step @p10392 :rule cong :premises (@p10391) :args (@t565)) % 1.71/1.95 (step @p10393 :rule refl :args (tptp.bs114d)) % 1.71/1.95 (step @p10394 :rule cong :premises (@p10393 @p10392) :args (@t566)) % 1.71/1.95 (step @p10395 :rule eq_resolve :premises (@p117 @p10394)) % 1.71/1.95 (step @p10396 :rule cong :premises (@p10395 @p10352) :args (@t6819)) % 1.71/1.95 (step @p10397 :rule cong :premises (@p973 @p10371) :args (@t6820)) % 1.71/1.95 (step @p10398 :rule cong :premises (@p10397) :args (@t6821)) % 1.71/1.95 (step @p10399 :rule nary_cong :premises (@p10398 @p10198) :args (@t6822)) % 1.71/1.95 (step @p10400 :rule cong :premises (@p10399) :args ((forall @t12 @t6822))) % 1.71/1.95 (step @p10401 :rule bool-impl-elim :args (@t6820 @t422)) % 1.71/1.95 (step @p10402 :rule cong :premises (@p10401) :args ((forall @t12 (=> @t6820 @t422)))) % 1.71/1.95 (step @p10403 :rule trans :premises (@p10402 @p10400)) % 1.71/1.95 (step @p10404 :rule eq-symm :args (@t517 @t2)) % 1.71/1.95 (step @p10405 :rule cong :premises (@p10404 @p10211) :args (@t557)) % 1.71/1.95 (step @p10406 :rule cong :premises (@p10405) :args (@t558)) % 1.71/1.95 (step @p10407 :rule trans :premises (@p10406 @p10403)) % 1.71/1.95 (step @p10408 :rule refl :args (tptp.binintersectSubset1)) % 1.71/1.95 (step @p10409 :rule cong :premises (@p10408 @p10407) :args (@t559)) % 1.71/1.95 (step @p10410 :rule eq_resolve :premises (@p116 @p10409)) % 1.71/1.95 (step @p10411 :rule cong :premises (@p10410 @p10396) :args (@t6823)) % 1.71/1.95 (step @p10412 :rule cong :premises (@p2930 @p10371) :args (@t6824)) % 1.71/1.95 (step @p10413 :rule refl :args (@t3248)) % 1.71/1.95 (step @p10414 :rule refl :args (@t427)) % 1.71/1.95 (step @p10415 :rule cong :premises (@p10414 @p10413) :args ((= @t427 @t3248))) % 1.71/1.95 (step @p10416 :rule symm :premises (@p10415)) % 1.71/1.95 (step @p10417 :rule eq_resolve :premises (@p10414 @p10416)) % 1.71/1.95 (step @p10418 :rule cong :premises (@p10417) :args (@t6825)) % 1.71/1.95 (step @p10419 :rule nary_cong :premises (@p10418 @p10412) :args (@t6826)) % 1.71/1.95 (step @p10420 :rule cong :premises (@p10419) :args ((forall @t12 @t6826))) % 1.71/1.95 (step @p10421 :rule bool-impl-elim :args (@t427 @t6824)) % 1.71/1.95 (step @p10422 :rule cong :premises (@p10421) :args ((forall @t12 (=> @t427 @t6824)))) % 1.71/1.95 (step @p10423 :rule trans :premises (@p10422 @p10420)) % 1.71/1.95 (step @p10424 :rule eq-symm :args (@t517 @t1)) % 1.71/1.95 (step @p10425 :rule refl :args (@t427)) % 1.71/1.95 (step @p10426 :rule cong :premises (@p10425 @p10424) :args (@t554)) % 1.71/1.95 (step @p10427 :rule cong :premises (@p10426) :args (@t555)) % 1.71/1.95 (step @p10428 :rule trans :premises (@p10427 @p10423)) % 1.71/1.95 (step @p10429 :rule refl :args (tptp.binintersectSubset4)) % 1.71/1.95 (step @p10430 :rule cong :premises (@p10429 @p10428) :args (@t556)) % 1.71/1.95 (step @p10431 :rule eq_resolve :premises (@p115 @p10430)) % 1.71/1.95 (step @p10432 :rule cong :premises (@p10431 @p10411) :args (@t6827)) % 1.71/1.95 (step @p10433 :rule refl :args ((tptp.subset @t517 @t1))) % 1.71/1.95 (step @p10434 :rule cong :premises (@p10355 @p2930) :args (@t3251)) % 1.71/1.95 (step @p10435 :rule trans :premises (@p10434 @p10433)) % 1.71/1.95 (step @p10436 :rule ho_cong :premises (@p3662 @p10355)) % 1.71/1.95 (step @p10437 :rule ho_cong :premises (@p10436 @p2930)) % 1.71/1.95 (step @p10438 :rule cong :premises (@p10437 @p10435) :args ((= (_ @t6828 @t1) @t3251))) % 1.71/1.95 (step @p10439 :rule symm :premises (@p10438)) % 1.71/1.95 (step @p10440 :rule refl :args (@t551)) % 1.71/1.95 (step @p10441 :rule eq_resolve :premises (@p10440 @p10439)) % 1.71/1.95 (step @p10442 :rule ho_cong :premises (@p3662 @p10371)) % 1.71/1.95 (step @p10443 :rule ho_cong :premises (@p10442 @p2930)) % 1.71/1.95 (step @p10444 :rule trans :premises (@p10443 @p10441)) % 1.71/1.95 (step @p10445 :rule cong :premises (@p10444) :args (@t552)) % 1.71/1.95 (step @p10446 :rule refl :args (tptp.binintersectRsub)) % 1.71/1.95 (step @p10447 :rule cong :premises (@p10446 @p10445) :args (@t553)) % 1.71/1.95 (step @p10448 :rule eq_resolve :premises (@p114 @p10447)) % 1.71/1.95 (step @p10449 :rule cong :premises (@p10448 @p10432) :args (@t6829)) % 1.71/1.95 (step @p10450 :rule cong :premises (@p377 @p10371) :args (@t6830)) % 1.71/1.95 (step @p10451 :rule refl :args (@t3254)) % 1.71/1.95 (step @p10452 :rule nary_cong :premises (@p10451 @p10450) :args (@t6831)) % 1.71/1.95 (step @p10453 :rule cong :premises (@p10452) :args ((forall @t12 @t6831))) % 1.71/1.95 (step @p10454 :rule bool-impl-elim :args (@t3253 @t6830)) % 1.71/1.95 (step @p10455 :rule cong :premises (@p10454) :args ((forall @t12 (=> @t3253 @t6830)))) % 1.71/1.95 (step @p10456 :rule trans :premises (@p10455 @p10453)) % 1.71/1.95 (step @p10457 :rule eq-symm :args (@t517 tptp.emptyset)) % 1.71/1.95 (step @p10458 :rule bool-double-not-elim :args (@t3253)) % 1.71/1.95 (step @p10459 :rule nary_cong :premises (@p1615 @p10082) :args (@t6832)) % 1.71/1.95 (step @p10460 :rule cong :premises (@p10459) :args ((forall @t9 @t6832))) % 1.71/1.95 (step @p10461 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 1.71/1.95 (step @p10462 :rule cong :premises (@p10461) :args (@t6833)) % 1.71/1.95 (step @p10463 :rule trans :premises (@p10462 @p10460)) % 1.71/1.95 (step @p10464 :rule cong :premises (@p10463) :args (@t6834)) % 1.71/1.95 (step @p10465 :rule exists-elim :args ((= @t546 @t6834))) % 1.71/1.95 (step @p10466 :rule trans :premises (@p10465 @p10464)) % 1.71/1.95 (step @p10467 :rule cong :premises (@p10466) :args (@t547)) % 1.71/1.95 (step @p10468 :rule trans :premises (@p10467 @p10458)) % 1.71/1.95 (step @p10469 :rule cong :premises (@p10468 @p10457) :args (@t548)) % 1.71/1.95 (step @p10470 :rule cong :premises (@p10469) :args (@t549)) % 1.71/1.95 (step @p10471 :rule trans :premises (@p10470 @p10456)) % 1.71/1.95 (step @p10472 :rule refl :args (tptp.disjointsetsI1)) % 1.71/1.95 (step @p10473 :rule cong :premises (@p10472 @p10471) :args (@t550)) % 1.71/1.95 (step @p10474 :rule eq_resolve :premises (@p113 @p10473)) % 1.71/1.95 (step @p10475 :rule cong :premises (@p10474 @p10449) :args (@t6835)) % 1.71/1.95 (step @p10476 :rule refl :args ((tptp.in @t4 @t517))) % 1.71/1.95 (step @p10477 :rule cong :premises (@p976 @p10355) :args (@t3256)) % 1.71/1.95 (step @p10478 :rule trans :premises (@p10477 @p10476)) % 1.71/1.95 (step @p10479 :rule ho_cong :premises (@p979 @p10355)) % 1.71/1.95 (step @p10480 :rule cong :premises (@p10479 @p10478) :args ((= (_ @t5 @t3240) @t3256))) % 1.71/1.95 (step @p10481 :rule symm :premises (@p10480)) % 1.71/1.95 (step @p10482 :rule refl :args (@t518)) % 1.71/1.95 (step @p10483 :rule eq_resolve :premises (@p10482 @p10481)) % 1.71/1.95 (step @p10484 :rule ho_cong :premises (@p979 @p10371)) % 1.71/1.95 (step @p10485 :rule trans :premises (@p10484 @p10483)) % 1.71/1.95 (step @p10486 :rule cong :premises (@p10485) :args (@t6836)) % 1.71/1.95 (step @p10487 :rule nary_cong :premises (@p10486 @p1147) :args (@t6837)) % 1.71/1.95 (step @p10488 :rule cong :premises (@p10487) :args ((forall @t245 @t6837))) % 1.71/1.95 (step @p10489 :rule bool-impl-elim :args (@t518 @t6)) % 1.71/1.95 (step @p10490 :rule cong :premises (@p10489) :args (@t543)) % 1.71/1.95 (step @p10491 :rule trans :premises (@p10490 @p10488)) % 1.71/1.95 (step @p10492 :rule refl :args (tptp.binintersectER)) % 1.71/1.95 (step @p10493 :rule cong :premises (@p10492 @p10491) :args (@t544)) % 1.71/1.95 (step @p10494 :rule eq_resolve :premises (@p112 @p10493)) % 1.71/1.95 (step @p10495 :rule cong :premises (@p10494 @p10475) :args (@t6838)) % 1.71/1.95 (step @p10496 :rule cong :premises (@p10412) :args (@t6839)) % 1.71/1.95 (step @p10497 :rule nary_cong :premises (@p10496 @p10417) :args (@t6840)) % 1.71/1.95 (step @p10498 :rule cong :premises (@p10497) :args ((forall @t12 @t6840))) % 1.71/1.95 (step @p10499 :rule bool-impl-elim :args (@t6824 @t427)) % 1.71/1.95 (step @p10500 :rule cong :premises (@p10499) :args ((forall @t12 (=> @t6824 @t427)))) % 1.71/1.95 (step @p10501 :rule trans :premises (@p10500 @p10498)) % 1.71/1.95 (step @p10502 :rule cong :premises (@p10424 @p10425) :args (@t540)) % 1.71/1.95 (step @p10503 :rule cong :premises (@p10502) :args (@t541)) % 1.71/1.95 (step @p10504 :rule trans :premises (@p10503 @p10501)) % 1.71/1.95 (step @p10505 :rule refl :args (tptp.binintersectSubset3)) % 1.71/1.95 (step @p10506 :rule cong :premises (@p10505 @p10504) :args (@t542)) % 1.71/1.95 (step @p10507 :rule eq_resolve :premises (@p111 @p10506)) % 1.71/1.95 (step @p10508 :rule cong :premises (@p10507 @p10495) :args (@t6841)) % 1.71/1.95 (step @p10509 :rule nary_cong :premises (@p10306 @p10397) :args (@t6842)) % 1.71/1.95 (step @p10510 :rule cong :premises (@p10509) :args ((forall @t12 @t6842))) % 1.71/1.95 (step @p10511 :rule bool-impl-elim :args (@t422 @t6820)) % 1.71/1.95 (step @p10512 :rule cong :premises (@p10511) :args ((forall @t12 (=> @t422 @t6820)))) % 1.71/1.95 (step @p10513 :rule trans :premises (@p10512 @p10510)) % 1.71/1.95 (step @p10514 :rule cong :premises (@p10211 @p10404) :args (@t536)) % 1.71/1.95 (step @p10515 :rule cong :premises (@p10514) :args (@t537)) % 1.71/1.95 (step @p10516 :rule trans :premises (@p10515 @p10513)) % 1.71/1.95 (step @p10517 :rule refl :args (tptp.binintersectSubset2)) % 1.71/1.95 (step @p10518 :rule cong :premises (@p10517 @p10516) :args (@t538)) % 1.71/1.95 (step @p10519 :rule eq_resolve :premises (@p110 @p10518)) % 1.71/1.95 (step @p10520 :rule cong :premises (@p10519 @p10508) :args (@t6843)) % 1.71/1.95 (step @p10521 :rule refl :args ((tptp.subset @t517 @t2))) % 1.71/1.95 (step @p10522 :rule cong :premises (@p10355 @p973) :args (@t3261)) % 1.71/1.95 (step @p10523 :rule trans :premises (@p10522 @p10521)) % 1.71/1.95 (step @p10524 :rule ho_cong :premises (@p10436 @p973)) % 1.71/1.95 (step @p10525 :rule cong :premises (@p10524 @p10523) :args ((= (_ @t6828 @t2) @t3261))) % 1.71/1.95 (step @p10526 :rule symm :premises (@p10525)) % 1.71/1.95 (step @p10527 :rule refl :args (@t532)) % 1.71/1.95 (step @p10528 :rule eq_resolve :premises (@p10527 @p10526)) % 1.71/1.95 (step @p10529 :rule ho_cong :premises (@p10442 @p973)) % 1.71/1.95 (step @p10530 :rule trans :premises (@p10529 @p10528)) % 1.71/1.95 (step @p10531 :rule cong :premises (@p10530) :args (@t533)) % 1.71/1.95 (step @p10532 :rule refl :args (tptp.binintersectLsub)) % 1.71/1.95 (step @p10533 :rule cong :premises (@p10532 @p10531) :args (@t534)) % 1.71/1.95 (step @p10534 :rule eq_resolve :premises (@p109 @p10533)) % 1.71/1.95 (step @p10535 :rule cong :premises (@p10534 @p10520) :args (@t6844)) % 1.71/1.95 (step @p10536 :rule nary_cong :premises (@p10486 @p1614) :args (@t6845)) % 1.71/1.95 (step @p10537 :rule cong :premises (@p10536) :args ((forall @t245 @t6845))) % 1.71/1.95 (step @p10538 :rule bool-impl-elim :args (@t518 @t7)) % 1.71/1.95 (step @p10539 :rule cong :premises (@p10538) :args (@t529)) % 1.71/1.95 (step @p10540 :rule trans :premises (@p10539 @p10537)) % 1.71/1.95 (step @p10541 :rule refl :args (tptp.binintersectEL)) % 1.71/1.95 (step @p10542 :rule cong :premises (@p10541 @p10540) :args (@t530)) % 1.71/1.95 (step @p10543 :rule eq_resolve :premises (@p108 @p10542)) % 1.71/1.95 (step @p10544 :rule cong :premises (@p10543 @p10535) :args (@t6846)) % 1.71/1.95 (step @p10545 :rule refl :args ((tptp.subset @t104 @t517))) % 1.71/1.95 (step @p10546 :rule refl :args (@t104)) % 1.71/1.95 (step @p10547 :rule cong :premises (@p10546 @p10355) :args (@t3264)) % 1.71/1.95 (step @p10548 :rule trans :premises (@p10547 @p10545)) % 1.71/1.95 (step @p10549 :rule refl :args (@t522)) % 1.71/1.95 (step @p10550 :rule ho_cong :premises (@p10549 @p10355)) % 1.71/1.95 (step @p10551 :rule cong :premises (@p10550 @p10548) :args ((= (_ @t522 @t3240) @t3264))) % 1.71/1.95 (step @p10552 :rule symm :premises (@p10551)) % 1.71/1.95 (step @p10553 :rule refl :args (@t523)) % 1.71/1.95 (step @p10554 :rule eq_resolve :premises (@p10553 @p10552)) % 1.71/1.95 (step @p10555 :rule ho_cong :premises (@p10549 @p10371)) % 1.71/1.95 (step @p10556 :rule trans :premises (@p10555 @p10554)) % 1.71/1.95 (step @p10557 :rule refl :args (@t3265)) % 1.71/1.95 (step @p10558 :rule refl :args (@t524)) % 1.71/1.95 (step @p10559 :rule cong :premises (@p10558 @p10557) :args ((= @t524 @t3265))) % 1.71/1.95 (step @p10560 :rule symm :premises (@p10559)) % 1.71/1.95 (step @p10561 :rule eq_resolve :premises (@p10558 @p10560)) % 1.71/1.95 (step @p10562 :rule cong :premises (@p10561) :args (@t6847)) % 1.71/1.95 (step @p10563 :rule refl :args (@t3266)) % 1.71/1.95 (step @p10564 :rule refl :args (@t526)) % 1.71/1.95 (step @p10565 :rule cong :premises (@p10564 @p10563) :args ((= @t526 @t3266))) % 1.71/1.95 (step @p10566 :rule symm :premises (@p10565)) % 1.71/1.95 (step @p10567 :rule eq_resolve :premises (@p10564 @p10566)) % 1.71/1.95 (step @p10568 :rule cong :premises (@p10567) :args (@t6848)) % 1.71/1.95 (step @p10569 :rule nary_cong :premises (@p10568 @p10562 @p10556) :args (@t6849)) % 1.71/1.95 (step @p10570 :rule cong :premises (@p10569) :args ((forall @t457 @t6849))) % 1.71/1.95 (step @p10571 :rule aci_norm :args ((= (or @t6848 (or @t6847 @t523)) @t6849))) % 1.71/1.95 (step @p10572 :rule bool-impl-elim :args (@t524 @t523)) % 1.71/1.95 (step @p10573 :rule refl :args (@t6848)) % 1.71/1.95 (step @p10574 :rule nary_cong :premises (@p10573 @p10572) :args ((or @t6848 @t525))) % 1.71/1.95 (step @p10575 :rule trans :premises (@p10574 @p10571)) % 1.71/1.95 (step @p10576 :rule bool-impl-elim :args (@t526 @t525)) % 1.71/1.95 (step @p10577 :rule trans :premises (@p10576 @p10575)) % 1.71/1.95 (step @p10578 :rule cong :premises (@p10577) :args (@t527)) % 1.71/1.95 (step @p10579 :rule trans :premises (@p10578 @p10570)) % 1.71/1.95 (step @p10580 :rule refl :args (tptp.binintersectSubset5)) % 1.71/1.95 (step @p10581 :rule cong :premises (@p10580 @p10579) :args (@t528)) % 1.71/1.95 (step @p10582 :rule eq_resolve :premises (@p107 @p10581)) % 1.71/1.95 (step @p10583 :rule cong :premises (@p10582 @p10544) :args (@t6850)) % 1.71/1.95 (step @p10584 :rule nary_cong :premises (@p1615 @p10082 @p10485) :args (@t6851)) % 1.71/1.95 (step @p10585 :rule cong :premises (@p10584) :args ((forall @t245 @t6851))) % 1.71/1.95 (step @p10586 :rule aci_norm :args ((= (or @t197 (or @t437 @t518)) @t6851))) % 1.71/1.95 (step @p10587 :rule bool-impl-elim :args (@t6 @t518)) % 1.71/1.95 (step @p10588 :rule nary_cong :premises (@p4095 @p10587) :args ((or @t197 @t519))) % 1.71/1.95 (step @p10589 :rule trans :premises (@p10588 @p10586)) % 1.71/1.95 (step @p10590 :rule bool-impl-elim :args (@t7 @t519)) % 1.71/1.95 (step @p10591 :rule trans :premises (@p10590 @p10589)) % 1.71/1.95 (step @p10592 :rule cong :premises (@p10591) :args (@t520)) % 1.71/1.95 (step @p10593 :rule trans :premises (@p10592 @p10585)) % 1.71/1.95 (step @p10594 :rule refl :args (tptp.binintersectI)) % 1.71/1.95 (step @p10595 :rule cong :premises (@p10594 @p10593) :args (@t521)) % 1.71/1.95 (step @p10596 :rule eq_resolve :premises (@p106 @p10595)) % 1.71/1.95 (step @p10597 :rule cong :premises (@p10596 @p10583) :args (@t6852)) % 1.71/1.95 (step @p10598 :rule refl :args ((tptp.subset @t1 @t494))) % 1.71/1.95 (step @p10599 :rule cong :premises (@p2930 @p9650) :args (@t3269)) % 1.71/1.95 (step @p10600 :rule trans :premises (@p10599 @p10598)) % 1.71/1.95 (step @p10601 :rule refl :args (@t426)) % 1.71/1.95 (step @p10602 :rule ho_cong :premises (@p10601 @p9650)) % 1.71/1.95 (step @p10603 :rule cong :premises (@p10602 @p10600) :args ((= (_ @t426 @t3159) @t3269))) % 1.71/1.95 (step @p10604 :rule symm :premises (@p10603)) % 1.71/1.95 (step @p10605 :rule refl :args (@t513)) % 1.71/1.95 (step @p10606 :rule eq_resolve :premises (@p10605 @p10604)) % 1.71/1.95 (step @p10607 :rule ho_cong :premises (@p10601 @p9675)) % 1.71/1.95 (step @p10608 :rule trans :premises (@p10607 @p10606)) % 1.71/1.95 (step @p10609 :rule cong :premises (@p10608) :args (@t514)) % 1.71/1.95 (step @p10610 :rule refl :args (tptp.binunionRsub)) % 1.71/1.95 (step @p10611 :rule cong :premises (@p10610 @p10609) :args (@t515)) % 1.71/1.95 (step @p10612 :rule eq_resolve :premises (@p105 @p10611)) % 1.71/1.95 (step @p10613 :rule cong :premises (@p10612 @p10597) :args (@t6853)) % 1.71/1.95 (step @p10614 :rule refl :args ((tptp.subset @t2 @t494))) % 1.71/1.95 (step @p10615 :rule cong :premises (@p973 @p9650) :args (@t3271)) % 1.71/1.95 (step @p10616 :rule trans :premises (@p10615 @p10614)) % 1.71/1.95 (step @p10617 :rule ho_cong :premises (@p9455 @p9650)) % 1.71/1.95 (step @p10618 :rule cong :premises (@p10617 @p10616) :args ((= (_ @t421 @t3159) @t3271))) % 1.71/1.95 (step @p10619 :rule symm :premises (@p10618)) % 1.71/1.95 (step @p10620 :rule refl :args (@t510)) % 1.71/1.95 (step @p10621 :rule eq_resolve :premises (@p10620 @p10619)) % 1.71/1.95 (step @p10622 :rule ho_cong :premises (@p9455 @p9675)) % 1.71/1.95 (step @p10623 :rule trans :premises (@p10622 @p10621)) % 1.71/1.95 (step @p10624 :rule cong :premises (@p10623) :args (@t511)) % 1.71/1.95 (step @p10625 :rule refl :args (tptp.binunionLsub)) % 1.71/1.95 (step @p10626 :rule cong :premises (@p10625 @p10624) :args (@t512)) % 1.71/1.95 (step @p10627 :rule eq_resolve :premises (@p104 @p10626)) % 1.71/1.95 (step @p10628 :rule cong :premises (@p10627 @p10613) :args (@t6854)) % 1.71/1.95 (step @p10629 :rule refl :args ((tptp.in @t4 @t494))) % 1.71/1.95 (step @p10630 :rule cong :premises (@p976 @p9650) :args (@t3273)) % 1.71/1.95 (step @p10631 :rule trans :premises (@p10630 @p10629)) % 1.71/1.95 (step @p10632 :rule ho_cong :premises (@p979 @p9650)) % 1.71/1.95 (step @p10633 :rule cong :premises (@p10632 @p10631) :args ((= (_ @t5 @t3159) @t3273))) % 1.71/1.95 (step @p10634 :rule symm :premises (@p10633)) % 1.71/1.95 (step @p10635 :rule refl :args (@t495)) % 1.71/1.95 (step @p10636 :rule eq_resolve :premises (@p10635 @p10634)) % 1.71/1.95 (step @p10637 :rule ho_cong :premises (@p979 @p9675)) % 1.71/1.95 (step @p10638 :rule trans :premises (@p10637 @p10636)) % 1.71/1.95 (step @p10639 :rule cong :premises (@p10638) :args (@t6855)) % 1.71/1.95 (step @p10640 :rule nary_cong :premises (@p10639 @p1614 @p1147) :args (@t6856)) % 1.71/1.95 (step @p10641 :rule cong :premises (@p10640) :args ((forall @t245 @t6856))) % 1.71/1.95 (step @p10642 :rule aci_norm :args ((= (or @t6855 @t507) @t6856))) % 1.71/1.95 (step @p10643 :rule bool-impl-elim :args (@t495 @t507)) % 1.71/1.95 (step @p10644 :rule trans :premises (@p10643 @p10642)) % 1.71/1.95 (step @p10645 :rule cong :premises (@p10644) :args (@t508)) % 1.71/1.95 (step @p10646 :rule trans :premises (@p10645 @p10641)) % 1.71/1.95 (step @p10647 :rule refl :args (tptp.binunionE)) % 1.71/1.95 (step @p10648 :rule cong :premises (@p10647 @p10646) :args (@t509)) % 1.71/1.95 (step @p10649 :rule eq_resolve :premises (@p103 @p10648)) % 1.71/1.95 (step @p10650 :rule cong :premises (@p10649 @p10628) :args (@t6857)) % 1.71/1.95 (step @p10651 :rule aci_norm :args ((= (and @t2179 true) @t2179))) % 1.71/1.95 (step @p10652 :rule nary_cong :premises (@p10140 @p1657) :args (@t6858)) % 1.71/1.95 (step @p10653 :rule trans :premises (@p10652 @p10651)) % 1.71/1.95 (step @p10654 :rule aci_norm :args ((= (and @t2356 true) @t2356))) % 1.71/1.95 (step @p10655 :rule nary_cong :premises (@p8445 @p1657) :args (@t6859)) % 1.71/1.95 (step @p10656 :rule trans :premises (@p10655 @p10654)) % 1.71/1.95 (step @p10657 :rule refl :args (@t3274)) % 1.71/1.95 (step @p10658 :rule nary_cong :premises (@p10657 @p10656 @p10653) :args (@t6860)) % 1.71/1.95 (step @p10659 :rule aci_norm :args ((= @t6861 @t6860))) % 1.71/1.95 (step @p10660 :rule trans :premises (@p10659 @p10658)) % 1.71/1.95 (step @p10661 :rule cong :premises (@p10660) :args ((forall @t245 @t6861))) % 1.71/1.95 (step @p10662 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t3274 @t6863 @t6862 @t173)) @t6861))) % 1.71/1.95 (step @p10663 :rule refl :args (@t6862)) % 1.71/1.95 (step @p10664 :rule refl :args (@t6863)) % 1.71/1.95 (step @p10665 :rule refl :args (@t3274)) % 1.71/1.95 (step @p10666 :rule nary_cong :premises (@p1677 @p10665 @p10664 @p10663 @p1669) :args (@t6864)) % 1.71/1.95 (step @p10667 :rule aci_norm :args ((= @t6865 @t6864))) % 1.71/1.95 (step @p10668 :rule trans :premises (@p10667 @p10666)) % 1.71/1.95 (step @p10669 :rule cong :premises (@p10668) :args (@t6866)) % 1.71/1.95 (step @p10670 :rule trans :premises (@p10669 @p10662)) % 1.71/1.95 (step @p10671 :rule cong :premises (@p10670) :args (@t6867)) % 1.71/1.95 (step @p10672 :rule quant-merge-prenex :args ((= @t6867 (forall @t504 @t6865)))) % 1.71/1.95 (step @p10673 :rule symm :premises (@p10672)) % 1.71/1.95 (step @p10674 :rule trans :premises (@p10673 @p10671)) % 1.71/1.95 (step @p10675 :rule trans :premises (@p10674 @p10661)) % 1.71/1.95 (step @p10676 :rule nary_cong :premises (@p1147 @p1684) :args (@t6792)) % 1.71/1.95 (step @p10677 :rule nary_cong :premises (@p1614 @p1684) :args (@t6868)) % 1.71/1.95 (step @p10678 :rule nary_cong :premises (@p10639 @p10677 @p10676 @p1669) :args (@t6869)) % 1.71/1.95 (step @p10679 :rule cong :premises (@p10678) :args ((forall @t504 @t6869))) % 1.71/1.95 (step @p10680 :rule trans :premises (@p10679 @p10675)) % 1.71/1.95 (step @p10681 :rule aci_norm :args ((= (or @t6855 @t6870) @t6869))) % 1.71/1.95 (step @p10682 :rule aci_norm :args ((= (or @t6868 (or @t6792 @t173)) @t6870))) % 1.71/1.95 (step @p10683 :rule nary_cong :premises (@p10166 @p1669) :args ((or @t6793 @t173))) % 1.71/1.95 (step @p10684 :rule bool-impl-elim :args (@t500 @t173)) % 1.71/1.95 (step @p10685 :rule trans :premises (@p10684 @p10683)) % 1.71/1.95 (step @p10686 :rule bool-implies-de-morgan :args (@t7 @t173)) % 1.71/1.95 (step @p10687 :rule nary_cong :premises (@p10686 @p10685) :args ((or (not @t502) @t501))) % 1.71/1.95 (step @p10688 :rule trans :premises (@p10687 @p10682)) % 1.71/1.95 (step @p10689 :rule bool-impl-elim :args (@t502 @t501)) % 1.71/1.95 (step @p10690 :rule trans :premises (@p10689 @p10688)) % 1.71/1.95 (step @p10691 :rule refl :args (@t6855)) % 1.71/1.95 (step @p10692 :rule nary_cong :premises (@p10691 @p10690) :args ((or @t6855 @t503))) % 1.71/1.95 (step @p10693 :rule trans :premises (@p10692 @p10681)) % 1.71/1.95 (step @p10694 :rule bool-impl-elim :args (@t495 @t503)) % 1.71/1.95 (step @p10695 :rule trans :premises (@p10694 @p10693)) % 1.71/1.95 (step @p10696 :rule cong :premises (@p10695) :args (@t505)) % 1.71/1.95 (step @p10697 :rule trans :premises (@p10696 @p10680)) % 1.71/1.95 (step @p10698 :rule refl :args (tptp.binunionEcases)) % 1.71/1.95 (step @p10699 :rule cong :premises (@p10698 @p10697) :args (@t506)) % 1.71/1.95 (step @p10700 :rule eq_resolve :premises (@p102 @p10699)) % 1.71/1.95 (step @p10701 :rule cong :premises (@p10700 @p10650) :args (@t6871)) % 1.71/1.95 (step @p10702 :rule nary_cong :premises (@p10082 @p10638) :args (@t6872)) % 1.71/1.95 (step @p10703 :rule cong :premises (@p10702) :args ((forall @t245 @t6872))) % 1.71/1.95 (step @p10704 :rule bool-impl-elim :args (@t6 @t495)) % 1.71/1.95 (step @p10705 :rule cong :premises (@p10704) :args (@t498)) % 1.71/1.95 (step @p10706 :rule trans :premises (@p10705 @p10703)) % 1.71/1.95 (step @p10707 :rule refl :args (tptp.binunionIR)) % 1.71/1.95 (step @p10708 :rule cong :premises (@p10707 @p10706) :args (@t499)) % 1.71/1.95 (step @p10709 :rule eq_resolve :premises (@p101 @p10708)) % 1.71/1.95 (step @p10710 :rule cong :premises (@p10709 @p10701) :args (@t6873)) % 1.71/1.95 (step @p10711 :rule eq-symm :args (@t3211 tptp.upairset2IR)) % 1.71/1.95 (step @p10712 :rule refl :args (tptp.upairset2IR)) % 1.71/1.95 (step @p10713 :rule cong :premises (@p10037 @p10712) :args ((= @t304 tptp.upairset2IR))) % 1.71/1.95 (step @p10714 :rule trans :premises (@p10713 @p10711)) % 1.71/1.95 (step @p10715 :rule eq-symm :args (tptp.upairset2IR @t304)) % 1.71/1.95 (step @p10716 :rule trans :premises (@p10715 @p10714)) % 1.71/1.95 (step @p10717 :rule eq_resolve :premises (@p100 @p10716)) % 1.71/1.95 (step @p10718 :rule cong :premises (@p10717 @p10710) :args (@t6874)) % 1.71/1.95 (step @p10719 :rule nary_cong :premises (@p1615 @p10638) :args (@t6875)) % 1.71/1.95 (step @p10720 :rule cong :premises (@p10719) :args ((forall @t245 @t6875))) % 1.71/1.95 (step @p10721 :rule bool-impl-elim :args (@t7 @t495)) % 1.71/1.95 (step @p10722 :rule cong :premises (@p10721) :args (@t496)) % 1.71/1.95 (step @p10723 :rule trans :premises (@p10722 @p10720)) % 1.71/1.95 (step @p10724 :rule refl :args (tptp.binunionIL)) % 1.71/1.95 (step @p10725 :rule cong :premises (@p10724 @p10723) :args (@t497)) % 1.71/1.95 (step @p10726 :rule eq_resolve :premises (@p99 @p10725)) % 1.71/1.95 (step @p10727 :rule cong :premises (@p10726 @p10718) :args (@t6876)) % 1.71/1.95 (step @p10728 :rule cong :premises (@p9381 @p961) :args (@t6877)) % 1.71/1.95 (step @p10729 :rule cong :premises (@p10728) :args ((forall @t311 @t6877))) % 1.71/1.95 (step @p10730 :rule refl :args ((tptp.subset @t306 @t2))) % 1.71/1.95 (step @p10731 :rule cong :premises (@p9389 @p973) :args (@t6877)) % 1.71/1.95 (step @p10732 :rule trans :premises (@p10731 @p10730)) % 1.71/1.95 (step @p10733 :rule ho_cong :premises (@p3662 @p9389)) % 1.71/1.95 (step @p10734 :rule ho_cong :premises (@p10733 @p973)) % 1.71/1.95 (step @p10735 :rule cong :premises (@p10734 @p10732) :args ((= (_ (_ tptp.subset @t6645) @t2) @t6877))) % 1.71/1.95 (step @p10736 :rule symm :premises (@p10735)) % 1.71/1.95 (step @p10737 :rule refl :args (@t491)) % 1.71/1.95 (step @p10738 :rule eq_resolve :premises (@p10737 @p10736)) % 1.71/1.95 (step @p10739 :rule ho_cong :premises (@p3662 @p9404)) % 1.71/1.95 (step @p10740 :rule ho_cong :premises (@p10739 @p973)) % 1.71/1.95 (step @p10741 :rule trans :premises (@p10740 @p10738)) % 1.71/1.95 (step @p10742 :rule cong :premises (@p10741) :args (@t492)) % 1.71/1.95 (step @p10743 :rule trans :premises (@p10742 @p10729)) % 1.71/1.95 (step @p10744 :rule refl :args (tptp.sepSubset)) % 1.71/1.95 (step @p10745 :rule cong :premises (@p10744 @p10743) :args (@t493)) % 1.71/1.95 (step @p10746 :rule eq_resolve :premises (@p98 @p10745)) % 1.71/1.95 (step @p10747 :rule cong :premises (@p10746 @p10727) :args (@t6878)) % 1.71/1.95 (step @p10748 :rule refl :args (@t2413)) % 1.71/1.95 (step @p10749 :rule cong :premises (@p9381 @p10748) :args (@t6879)) % 1.71/1.95 (step @p10750 :rule cong :premises (@p10749) :args ((forall @t311 @t6879))) % 1.71/1.95 (step @p10751 :rule refl :args ((tptp.in @t306 @t33))) % 1.71/1.95 (step @p10752 :rule cong :premises (@p9389 @p3085) :args (@t6879)) % 1.71/1.95 (step @p10753 :rule trans :premises (@p10752 @p10751)) % 1.71/1.95 (step @p10754 :rule ho_cong :premises (@p1628 @p9389)) % 1.71/1.95 (step @p10755 :rule ho_cong :premises (@p10754 @p3085)) % 1.71/1.95 (step @p10756 :rule cong :premises (@p10755 @p10753) :args ((= (_ (_ tptp.in @t6645) @t2413) @t6879))) % 1.71/1.95 (step @p10757 :rule symm :premises (@p10756)) % 1.71/1.95 (step @p10758 :rule refl :args (@t488)) % 1.71/1.95 (step @p10759 :rule eq_resolve :premises (@p10758 @p10757)) % 1.71/1.95 (step @p10760 :rule ho_cong :premises (@p1628 @p9404)) % 1.71/1.95 (step @p10761 :rule ho_cong :premises (@p10760 @p3098)) % 1.71/1.95 (step @p10762 :rule trans :premises (@p10761 @p10759)) % 1.71/1.95 (step @p10763 :rule cong :premises (@p10762) :args (@t489)) % 1.71/1.95 (step @p10764 :rule trans :premises (@p10763 @p10750)) % 1.71/1.95 (step @p10765 :rule refl :args (tptp.sepInPowerset)) % 1.71/1.95 (step @p10766 :rule cong :premises (@p10765 @p10764) :args (@t490)) % 1.71/1.95 (step @p10767 :rule eq_resolve :premises (@p97 @p10766)) % 1.71/1.95 (step @p10768 :rule cong :premises (@p10767 @p10747) :args (@t6880)) % 1.71/1.95 (step @p10769 :rule refl :args ((tptp.subset @t33 @t393))) % 1.71/1.95 (step @p10770 :rule refl :args (@t3280)) % 1.71/1.95 (step @p10771 :rule cong :premises (@p3085 @p10770) :args (@t3281)) % 1.71/1.95 (step @p10772 :rule trans :premises (@p10771 @p10769)) % 1.71/1.95 (step @p10773 :rule ho_cong :premises (@p3662 @p3085)) % 1.71/1.95 (step @p10774 :rule ho_cong :premises (@p10773 @p10770)) % 1.71/1.95 (step @p10775 :rule cong :premises (@p10774 @p10772) :args ((= (_ (_ tptp.subset @t2413) @t3280) @t3281))) % 1.71/1.95 (step @p10776 :rule symm :premises (@p10775)) % 1.71/1.95 (step @p10777 :rule refl :args (@t485)) % 1.71/1.95 (step @p10778 :rule eq_resolve :premises (@p10777 @p10776)) % 1.71/1.95 (step @p10779 :rule refl :args (@t393)) % 1.71/1.95 (step @p10780 :rule cong :premises (@p10779 @p10770) :args ((= @t393 @t3280))) % 1.71/1.95 (step @p10781 :rule symm :premises (@p10780)) % 1.71/1.95 (step @p10782 :rule eq_resolve :premises (@p10779 @p10781)) % 1.71/1.95 (step @p10783 :rule ho_cong :premises (@p3662 @p3098)) % 1.71/1.95 (step @p10784 :rule ho_cong :premises (@p10783 @p10782)) % 1.71/1.95 (step @p10785 :rule trans :premises (@p10784 @p10778)) % 1.71/1.95 (step @p10786 :rule nary_cong :premises (@p10306 @p10785) :args (@t6881)) % 1.71/1.95 (step @p10787 :rule cong :premises (@p10786) :args ((forall @t12 @t6881))) % 1.71/1.95 (step @p10788 :rule bool-impl-elim :args (@t422 @t485)) % 1.71/1.95 (step @p10789 :rule cong :premises (@p10788) :args (@t486)) % 1.71/1.95 (step @p10790 :rule trans :premises (@p10789 @p10787)) % 1.71/1.95 (step @p10791 :rule refl :args (tptp.powersetsubset)) % 1.71/1.95 (step @p10792 :rule cong :premises (@p10791 @p10790) :args (@t487)) % 1.71/1.95 (step @p10793 :rule eq_resolve :premises (@p96 @p10792)) % 1.71/1.95 (step @p10794 :rule cong :premises (@p10793 @p10768) :args (@t6882)) % 1.71/1.95 (step @p10795 :rule refl :args ((tptp.in @t2 @t33))) % 1.71/1.95 (step @p10796 :rule cong :premises (@p973 @p3085) :args (@t3283)) % 1.71/1.95 (step @p10797 :rule trans :premises (@p10796 @p10795)) % 1.71/1.95 (step @p10798 :rule refl :args (@t468)) % 1.71/1.95 (step @p10799 :rule ho_cong :premises (@p10798 @p3085)) % 1.71/1.95 (step @p10800 :rule cong :premises (@p10799 @p10797) :args ((= (_ @t468 @t2413) @t3283))) % 1.71/1.95 (step @p10801 :rule symm :premises (@p10800)) % 1.71/1.95 (step @p10802 :rule refl :args (@t482)) % 1.71/1.95 (step @p10803 :rule eq_resolve :premises (@p10802 @p10801)) % 1.71/1.95 (step @p10804 :rule ho_cong :premises (@p10798 @p3098)) % 1.71/1.95 (step @p10805 :rule trans :premises (@p10804 @p10803)) % 1.71/1.95 (step @p10806 :rule cong :premises (@p10805) :args (@t483)) % 1.71/1.95 (step @p10807 :rule refl :args (tptp.inPowerset)) % 1.71/1.95 (step @p10808 :rule cong :premises (@p10807 @p10806) :args (@t484)) % 1.71/1.95 (step @p10809 :rule eq_resolve :premises (@p95 @p10808)) % 1.71/1.95 (step @p10810 :rule cong :premises (@p10809 @p10794) :args (@t6883)) % 1.71/1.95 (step @p10811 :rule refl :args ((tptp.in @t1 @t33))) % 1.71/1.95 (step @p10812 :rule cong :premises (@p2930 @p3085) :args (@t3285)) % 1.71/1.95 (step @p10813 :rule trans :premises (@p10812 @p10811)) % 1.71/1.95 (step @p10814 :rule refl :args (@t34)) % 1.71/1.95 (step @p10815 :rule ho_cong :premises (@p10814 @p3085)) % 1.71/1.95 (step @p10816 :rule cong :premises (@p10815 @p10813) :args ((= (_ @t34 @t2413) @t3285))) % 1.71/1.95 (step @p10817 :rule symm :premises (@p10816)) % 1.71/1.95 (step @p10818 :rule refl :args (@t35)) % 1.71/1.95 (step @p10819 :rule eq_resolve :premises (@p10818 @p10817)) % 1.71/1.95 (step @p10820 :rule ho_cong :premises (@p10814 @p3098)) % 1.71/1.95 (step @p10821 :rule trans :premises (@p10820 @p10819)) % 1.71/1.95 (step @p10822 :rule cong :premises (@p10821) :args (@t6884)) % 1.71/1.95 (step @p10823 :rule nary_cong :premises (@p10822 @p10417) :args (@t6885)) % 1.71/1.95 (step @p10824 :rule cong :premises (@p10823) :args ((forall @t12 @t6885))) % 1.71/1.95 (step @p10825 :rule bool-impl-elim :args (@t35 @t427)) % 1.71/1.95 (step @p10826 :rule cong :premises (@p10825) :args (@t480)) % 1.71/1.95 (step @p10827 :rule trans :premises (@p10826 @p10824)) % 1.71/1.95 (step @p10828 :rule refl :args (tptp.powersetE1)) % 1.71/1.95 (step @p10829 :rule cong :premises (@p10828 @p10827) :args (@t481)) % 1.71/1.95 (step @p10830 :rule eq_resolve :premises (@p94 @p10829)) % 1.71/1.95 (step @p10831 :rule cong :premises (@p10830 @p10810) :args (@t6886)) % 1.71/1.95 (step @p10832 :rule nary_cong :premises (@p10418 @p10821) :args (@t6887)) % 1.71/1.95 (step @p10833 :rule cong :premises (@p10832) :args ((forall @t12 @t6887))) % 1.71/1.95 (step @p10834 :rule bool-impl-elim :args (@t427 @t35)) % 1.71/1.95 (step @p10835 :rule cong :premises (@p10834) :args (@t478)) % 1.71/1.95 (step @p10836 :rule trans :premises (@p10835 @p10833)) % 1.71/1.95 (step @p10837 :rule refl :args (tptp.powersetI1)) % 1.71/1.95 (step @p10838 :rule cong :premises (@p10837 @p10836) :args (@t479)) % 1.71/1.95 (step @p10839 :rule eq_resolve :premises (@p93 @p10838)) % 1.71/1.95 (step @p10840 :rule cong :premises (@p10839 @p10831) :args (@t6888)) % 1.71/1.95 (step @p10841 :rule refl :args (@t196)) % 1.71/1.95 (step @p10842 :rule refl :args (@t3289)) % 1.71/1.95 (step @p10843 :rule refl :args (@t475)) % 1.71/1.95 (step @p10844 :rule cong :premises (@p10843 @p10842) :args ((= @t475 @t3289))) % 1.71/1.95 (step @p10845 :rule symm :premises (@p10844)) % 1.71/1.95 (step @p10846 :rule eq_resolve :premises (@p10843 @p10845)) % 1.71/1.95 (step @p10847 :rule cong :premises (@p10846) :args (@t6889)) % 1.71/1.95 (step @p10848 :rule nary_cong :premises (@p10847 @p10841) :args (@t6890)) % 1.71/1.95 (step @p10849 :rule cong :premises (@p10848) :args ((forall @t64 @t6890))) % 1.71/1.95 (step @p10850 :rule bool-impl-elim :args (@t475 @t196)) % 1.71/1.95 (step @p10851 :rule cong :premises (@p10850) :args (@t476)) % 1.71/1.95 (step @p10852 :rule trans :premises (@p10851 @p10849)) % 1.71/1.95 (step @p10853 :rule refl :args (tptp.subsetemptysetimpeq)) % 1.71/1.95 (step @p10854 :rule cong :premises (@p10853 @p10852) :args (@t477)) % 1.71/1.95 (step @p10855 :rule eq_resolve :premises (@p92 @p10854)) % 1.71/1.95 (step @p10856 :rule cong :premises (@p10855 @p10840) :args (@t6891)) % 1.71/1.95 (step @p10857 :rule refl :args (@t3)) % 1.71/1.95 (step @p10858 :rule nary_cong :premises (@p10306 @p10418 @p10857) :args (@t6892)) % 1.71/1.95 (step @p10859 :rule cong :premises (@p10858) :args ((forall @t12 @t6892))) % 1.71/1.95 (step @p10860 :rule aci_norm :args ((= (or @t441 (or @t6825 @t3)) @t6892))) % 1.71/1.95 (step @p10861 :rule bool-impl-elim :args (@t427 @t3)) % 1.71/1.95 (step @p10862 :rule refl :args (@t441)) % 1.71/1.95 (step @p10863 :rule nary_cong :premises (@p10862 @p10861) :args ((or @t441 @t472))) % 1.71/1.95 (step @p10864 :rule trans :premises (@p10863 @p10860)) % 1.71/1.95 (step @p10865 :rule bool-impl-elim :args (@t422 @t472)) % 1.71/1.95 (step @p10866 :rule trans :premises (@p10865 @p10864)) % 1.71/1.95 (step @p10867 :rule cong :premises (@p10866) :args (@t473)) % 1.71/1.95 (step @p10868 :rule trans :premises (@p10867 @p10859)) % 1.71/1.95 (step @p10869 :rule refl :args (tptp.setextsub)) % 1.71/1.95 (step @p10870 :rule cong :premises (@p10869 @p10868) :args (@t474)) % 1.71/1.95 (step @p10871 :rule eq_resolve :premises (@p91 @p10870)) % 1.71/1.95 (step @p10872 :rule cong :premises (@p10871 @p10856) :args (@t6893)) % 1.71/1.95 (step @p10873 :rule refl :args ((tptp.in @t2 @t393))) % 1.71/1.95 (step @p10874 :rule cong :premises (@p973 @p10770) :args (@t3292)) % 1.71/1.95 (step @p10875 :rule trans :premises (@p10874 @p10873)) % 1.71/1.95 (step @p10876 :rule ho_cong :premises (@p10798 @p10770)) % 1.71/1.95 (step @p10877 :rule cong :premises (@p10876 @p10875) :args ((= (_ @t468 @t3280) @t3292))) % 1.71/1.95 (step @p10878 :rule symm :premises (@p10877)) % 1.71/1.95 (step @p10879 :rule refl :args (@t469)) % 1.71/1.95 (step @p10880 :rule eq_resolve :premises (@p10879 @p10878)) % 1.71/1.95 (step @p10881 :rule ho_cong :premises (@p10798 @p10782)) % 1.71/1.95 (step @p10882 :rule trans :premises (@p10881 @p10880)) % 1.71/1.95 (step @p10883 :rule nary_cong :premises (@p10306 @p10882) :args (@t6894)) % 1.71/1.95 (step @p10884 :rule cong :premises (@p10883) :args ((forall @t12 @t6894))) % 1.71/1.95 (step @p10885 :rule bool-impl-elim :args (@t422 @t469)) % 1.71/1.95 (step @p10886 :rule cong :premises (@p10885) :args (@t470)) % 1.71/1.95 (step @p10887 :rule trans :premises (@p10886 @p10884)) % 1.71/1.95 (step @p10888 :rule refl :args (tptp.subset2powerset)) % 1.71/1.95 (step @p10889 :rule cong :premises (@p10888 @p10887) :args (@t471)) % 1.71/1.95 (step @p10890 :rule eq_resolve :premises (@p90 @p10889)) % 1.71/1.95 (step @p10891 :rule cong :premises (@p10890 @p10872) :args (@t6895)) % 1.71/1.95 (step @p10892 :rule refl :args ((tptp.subset @t2 @t464))) % 1.71/1.95 (step @p10893 :rule refl :args (@t3294)) % 1.71/1.95 (step @p10894 :rule cong :premises (@p973 @p10893) :args (@t3295)) % 1.71/1.95 (step @p10895 :rule trans :premises (@p10894 @p10892)) % 1.71/1.95 (step @p10896 :rule ho_cong :premises (@p9455 @p10893)) % 1.71/1.95 (step @p10897 :rule cong :premises (@p10896 @p10895) :args ((= (_ @t421 @t3294) @t3295))) % 1.71/1.95 (step @p10898 :rule symm :premises (@p10897)) % 1.71/1.95 (step @p10899 :rule refl :args (@t465)) % 1.71/1.95 (step @p10900 :rule eq_resolve :premises (@p10899 @p10898)) % 1.71/1.95 (step @p10901 :rule refl :args (@t464)) % 1.71/1.95 (step @p10902 :rule cong :premises (@p10901 @p10893) :args ((= @t464 @t3294))) % 1.71/1.95 (step @p10903 :rule symm :premises (@p10902)) % 1.71/1.95 (step @p10904 :rule eq_resolve :premises (@p10901 @p10903)) % 1.71/1.95 (step @p10905 :rule ho_cong :premises (@p9455 @p10904)) % 1.71/1.95 (step @p10906 :rule trans :premises (@p10905 @p10900)) % 1.71/1.95 (step @p10907 :rule nary_cong :premises (@p10306 @p10906) :args (@t6896)) % 1.71/1.95 (step @p10908 :rule cong :premises (@p10907) :args ((forall @t249 @t6896))) % 1.71/1.95 (step @p10909 :rule bool-impl-elim :args (@t422 @t465)) % 1.71/1.95 (step @p10910 :rule cong :premises (@p10909) :args (@t466)) % 1.71/1.95 (step @p10911 :rule trans :premises (@p10910 @p10908)) % 1.71/1.95 (step @p10912 :rule refl :args (tptp.setadjoinSub2)) % 1.71/1.95 (step @p10913 :rule cong :premises (@p10912 @p10911) :args (@t467)) % 1.71/1.95 (step @p10914 :rule eq_resolve :premises (@p89 @p10913)) % 1.71/1.95 (step @p10915 :rule cong :premises (@p10914 @p10891) :args (@t6897)) % 1.71/1.95 (step @p10916 :rule refl :args ((tptp.subset @t2 @t25))) % 1.71/1.95 (step @p10917 :rule refl :args (@t3297)) % 1.71/1.95 (step @p10918 :rule cong :premises (@p973 @p10917) :args (@t3298)) % 1.71/1.95 (step @p10919 :rule trans :premises (@p10918 @p10916)) % 1.71/1.95 (step @p10920 :rule ho_cong :premises (@p9455 @p10917)) % 1.71/1.95 (step @p10921 :rule cong :premises (@p10920 @p10919) :args ((= (_ @t421 @t3297) @t3298))) % 1.71/1.95 (step @p10922 :rule symm :premises (@p10921)) % 1.71/1.95 (step @p10923 :rule refl :args (@t460)) % 1.71/1.95 (step @p10924 :rule eq_resolve :premises (@p10923 @p10922)) % 1.71/1.95 (step @p10925 :rule refl :args (@t25)) % 1.71/1.95 (step @p10926 :rule cong :premises (@p10925 @p10917) :args ((= @t25 @t3297))) % 1.71/1.95 (step @p10927 :rule symm :premises (@p10926)) % 1.71/1.95 (step @p10928 :rule eq_resolve :premises (@p10925 @p10927)) % 1.71/1.95 (step @p10929 :rule ho_cong :premises (@p9455 @p10928)) % 1.71/1.95 (step @p10930 :rule trans :premises (@p10929 @p10924)) % 1.71/1.95 (step @p10931 :rule cong :premises (@p10930) :args (@t462)) % 1.71/1.95 (step @p10932 :rule refl :args (tptp.setadjoinSub)) % 1.71/1.95 (step @p10933 :rule cong :premises (@p10932 @p10931) :args (@t463)) % 1.71/1.95 (step @p10934 :rule eq_resolve :premises (@p88 @p10933)) % 1.71/1.95 (step @p10935 :rule cong :premises (@p10934 @p10915) :args (@t6898)) % 1.71/1.95 (step @p10936 :rule refl :args (@t3300)) % 1.71/1.95 (step @p10937 :rule refl :args (@t454)) % 1.71/1.95 (step @p10938 :rule cong :premises (@p10937 @p10936) :args ((= @t454 @t3300))) % 1.71/1.95 (step @p10939 :rule symm :premises (@p10938)) % 1.71/1.95 (step @p10940 :rule eq_resolve :premises (@p10937 @p10939)) % 1.71/1.95 (step @p10941 :rule refl :args (@t3301)) % 1.71/1.95 (step @p10942 :rule refl :args (@t455)) % 1.71/1.95 (step @p10943 :rule cong :premises (@p10942 @p10941) :args ((= @t455 @t3301))) % 1.71/1.95 (step @p10944 :rule symm :premises (@p10943)) % 1.71/1.95 (step @p10945 :rule eq_resolve :premises (@p10942 @p10944)) % 1.71/1.95 (step @p10946 :rule cong :premises (@p10945) :args (@t6899)) % 1.71/1.95 (step @p10947 :rule nary_cong :premises (@p10306 @p10946 @p10940) :args (@t6900)) % 1.71/1.95 (step @p10948 :rule cong :premises (@p10947) :args ((forall @t457 @t6900))) % 1.71/1.95 (step @p10949 :rule aci_norm :args ((= (or @t441 (or @t6899 @t454)) @t6900))) % 1.71/1.95 (step @p10950 :rule bool-impl-elim :args (@t455 @t454)) % 1.71/1.95 (step @p10951 :rule nary_cong :premises (@p10862 @p10950) :args ((or @t441 @t456))) % 1.71/1.95 (step @p10952 :rule trans :premises (@p10951 @p10949)) % 1.71/1.95 (step @p10953 :rule bool-impl-elim :args (@t422 @t456)) % 1.71/1.95 (step @p10954 :rule trans :premises (@p10953 @p10952)) % 1.71/1.95 (step @p10955 :rule cong :premises (@p10954) :args (@t458)) % 1.71/1.95 (step @p10956 :rule trans :premises (@p10955 @p10948)) % 1.71/1.95 (step @p10957 :rule refl :args (tptp.subsetTrans)) % 1.71/1.95 (step @p10958 :rule cong :premises (@p10957 @p10956) :args (@t459)) % 1.71/1.95 (step @p10959 :rule eq_resolve :premises (@p87 @p10958)) % 1.71/1.95 (step @p10960 :rule cong :premises (@p10959 @p10935) :args (@t6901)) % 1.71/1.95 (step @p10961 :rule refl :args (@t3303)) % 1.71/1.95 (step @p10962 :rule refl :args (@t451)) % 1.71/1.95 (step @p10963 :rule cong :premises (@p10962 @p10961) :args ((= @t451 @t3303))) % 1.71/1.95 (step @p10964 :rule symm :premises (@p10963)) % 1.71/1.95 (step @p10965 :rule eq_resolve :premises (@p10962 @p10964)) % 1.71/1.95 (step @p10966 :rule cong :premises (@p10965) :args (@t452)) % 1.71/1.95 (step @p10967 :rule refl :args (tptp.subsetRefl)) % 1.71/1.95 (step @p10968 :rule cong :premises (@p10967 @p10966) :args (@t453)) % 1.71/1.95 (step @p10969 :rule eq_resolve :premises (@p86 @p10968)) % 1.71/1.95 (step @p10970 :rule cong :premises (@p10969 @p10960) :args (@t6902)) % 1.71/1.95 (step @p10971 :rule bool-eq-true :args (tptp.notequalI2)) % 1.71/1.95 (step @p10972 :rule symm :premises (@p10971)) % 1.71/1.95 (step @p10973 :rule quant-unused-vars :args ((= (forall @t6903 true) true))) % 1.71/1.95 (step @p10974 :rule bool-or-taut2 :args (false @t2179 false false)) % 1.71/1.95 (step @p10975 :rule cong :premises (@p10974) :args ((forall @t6903 @t6904))) % 1.71/1.95 (step @p10976 :rule trans :premises (@p10975 @p10973)) % 1.71/1.95 (step @p10977 :rule aci_norm :args ((= (or @t2180 @t2179 false) @t6904))) % 1.71/1.95 (step @p10978 :rule eq-refl :args (@t1)) % 1.71/1.95 (step @p10979 :rule cong :premises (@p10978) :args (@t6905)) % 1.71/1.95 (step @p10980 :rule trans :premises (@p10979 @p928)) % 1.71/1.95 (step @p10981 :rule nary_cong :premises (@p10144 @p10140 @p10980) :args (@t6906)) % 1.71/1.95 (step @p10982 :rule trans :premises (@p10981 @p10977)) % 1.71/1.95 (step @p10983 :rule cong :premises (@p10982) :args ((forall @t6903 @t6906))) % 1.71/1.95 (step @p10984 :rule trans :premises (@p10983 @p10976)) % 1.71/1.95 (step @p10985 :rule quant-var-elim-eq :args ((= (forall @t64 @t6907) @t6906))) % 1.71/1.95 (step @p10986 :rule aci_norm :args ((= @t6908 @t6907))) % 1.71/1.95 (step @p10987 :rule cong :premises (@p10986) :args (@t6909)) % 1.71/1.95 (step @p10988 :rule trans :premises (@p10987 @p10985)) % 1.71/1.95 (step @p10989 :rule cong :premises (@p10988) :args (@t6910)) % 1.71/1.95 (step @p10990 :rule quant-merge-prenex :args ((= @t6910 @t6911))) % 1.71/1.95 (step @p10991 :rule symm :premises (@p10990)) % 1.71/1.95 (step @p10992 :rule quant_var_reordering :args ((= (forall @t245 @t6908) @t6911))) % 1.71/1.95 (step @p10993 :rule trans :premises (@p10992 @p10991 @p10989)) % 1.71/1.95 (step @p10994 :rule trans :premises (@p10993 @p10984)) % 1.71/1.95 (step @p10995 :rule refl :args (@t445)) % 1.71/1.95 (step @p10996 :rule nary_cong :premises (@p1615 @p1147 @p10995) :args (@t6912)) % 1.71/1.95 (step @p10997 :rule cong :premises (@p10996) :args ((forall @t245 @t6912))) % 1.71/1.95 (step @p10998 :rule trans :premises (@p10997 @p10994)) % 1.71/1.95 (step @p10999 :rule aci_norm :args ((= (or @t197 (or @t6 @t445)) @t6912))) % 1.71/1.95 (step @p11000 :rule nary_cong :premises (@p10064 @p10995) :args ((or @t6770 @t445))) % 1.71/1.95 (step @p11001 :rule bool-impl-elim :args (@t437 @t445)) % 1.71/1.95 (step @p11002 :rule trans :premises (@p11001 @p11000)) % 1.71/1.95 (step @p11003 :rule nary_cong :premises (@p4095 @p11002) :args ((or @t197 @t448))) % 1.71/1.95 (step @p11004 :rule trans :premises (@p11003 @p10999)) % 1.71/1.95 (step @p11005 :rule bool-impl-elim :args (@t7 @t448)) % 1.71/1.95 (step @p11006 :rule trans :premises (@p11005 @p11004)) % 1.71/1.95 (step @p11007 :rule cong :premises (@p11006) :args (@t449)) % 1.71/1.95 (step @p11008 :rule trans :premises (@p11007 @p10998)) % 1.71/1.95 (step @p11009 :rule refl :args (tptp.notequalI2)) % 1.71/1.95 (step @p11010 :rule cong :premises (@p11009 @p11008) :args (@t450)) % 1.71/1.95 (step @p11011 :rule trans :premises (@p11010 @p10971)) % 1.71/1.95 (step @p11012 :rule eq_resolve :premises (@p85 @p11011)) % 1.71/1.95 (step @p11013 :rule eq_resolve :premises (@p11012 @p10972)) % 1.71/1.95 (step @p11014 :rule cong :premises (@p11013 @p10970) :args (@t6913)) % 1.71/1.95 (step @p11015 :rule aci_norm :args ((= (or @t3305 false) @t3305))) % 1.71/1.95 (step @p11016 :rule refl :args (@t3305)) % 1.71/1.95 (step @p11017 :rule nary_cong :premises (@p11016 @p10980) :args (@t6914)) % 1.71/1.95 (step @p11018 :rule trans :premises (@p11017 @p11015)) % 1.71/1.95 (step @p11019 :rule cong :premises (@p11018) :args ((forall @t41 @t6914))) % 1.71/1.95 (step @p11020 :rule quant-var-elim-eq :args ((= (forall @t64 @t6915) @t6914))) % 1.71/1.95 (step @p11021 :rule aci_norm :args ((= @t6916 @t6915))) % 1.71/1.95 (step @p11022 :rule cong :premises (@p11021) :args (@t6917)) % 1.71/1.95 (step @p11023 :rule trans :premises (@p11022 @p11020)) % 1.71/1.95 (step @p11024 :rule cong :premises (@p11023) :args (@t6918)) % 1.71/1.95 (step @p11025 :rule quant-merge-prenex :args ((= @t6918 @t6920))) % 1.71/1.95 (step @p11026 :rule symm :premises (@p11025)) % 1.71/1.95 (step @p11027 :rule quant_var_reordering :args ((= (forall @t12 @t6916) @t6920))) % 1.71/1.95 (step @p11028 :rule trans :premises (@p11027 @p11026 @p11024)) % 1.71/1.95 (step @p11029 :rule trans :premises (@p11028 @p11019)) % 1.71/1.95 (step @p11030 :rule nary_cong :premises (@p10198 @p10995) :args (@t6921)) % 1.71/1.95 (step @p11031 :rule cong :premises (@p11030) :args ((forall @t12 @t6921))) % 1.71/1.95 (step @p11032 :rule trans :premises (@p11031 @p11029)) % 1.71/1.95 (step @p11033 :rule bool-double-not-elim :args (@t422)) % 1.71/1.95 (step @p11034 :rule nary_cong :premises (@p11033 @p10995) :args ((or (not @t441) @t445))) % 1.71/1.95 (step @p11035 :rule bool-impl-elim :args (@t441 @t445)) % 1.71/1.95 (step @p11036 :rule trans :premises (@p11035 @p11034)) % 1.71/1.95 (step @p11037 :rule cong :premises (@p11036) :args (@t446)) % 1.71/1.95 (step @p11038 :rule trans :premises (@p11037 @p11032)) % 1.71/1.95 (step @p11039 :rule refl :args (tptp.notequalI1)) % 1.71/1.95 (step @p11040 :rule cong :premises (@p11039 @p11038) :args (@t447)) % 1.71/1.95 (step @p11041 :rule eq_resolve :premises (@p84 @p11040)) % 1.71/1.95 (step @p11042 :rule cong :premises (@p11041 @p11014) :args (@t6922)) % 1.71/1.95 (step @p11043 :rule nary_cong :premises (@p1615 @p1147 @p10306) :args (@t6923)) % 1.71/1.95 (step @p11044 :rule cong :premises (@p11043) :args ((forall @t245 @t6923))) % 1.71/1.95 (step @p11045 :rule aci_norm :args ((= (or @t197 (or @t6 @t441)) @t6923))) % 1.71/1.95 (step @p11046 :rule nary_cong :premises (@p10064 @p10862) :args ((or @t6770 @t441))) % 1.71/1.95 (step @p11047 :rule bool-impl-elim :args (@t437 @t441)) % 1.71/1.95 (step @p11048 :rule trans :premises (@p11047 @p11046)) % 1.71/1.95 (step @p11049 :rule nary_cong :premises (@p4095 @p11048) :args ((or @t197 @t442))) % 1.71/1.95 (step @p11050 :rule trans :premises (@p11049 @p11045)) % 1.71/1.95 (step @p11051 :rule bool-impl-elim :args (@t7 @t442)) % 1.71/1.95 (step @p11052 :rule trans :premises (@p11051 @p11050)) % 1.71/1.95 (step @p11053 :rule cong :premises (@p11052) :args (@t443)) % 1.71/1.95 (step @p11054 :rule trans :premises (@p11053 @p11044)) % 1.71/1.95 (step @p11055 :rule refl :args (tptp.notsubsetI)) % 1.71/1.95 (step @p11056 :rule cong :premises (@p11055 @p11054) :args (@t444)) % 1.71/1.95 (step @p11057 :rule eq_resolve :premises (@p83 @p11056)) % 1.71/1.95 (step @p11058 :rule cong :premises (@p11057 @p11042) :args (@t6924)) % 1.71/1.95 (step @p11059 :rule nary_cong :premises (@p10306 @p1147 @p1615) :args (@t6925)) % 1.71/1.95 (step @p11060 :rule cong :premises (@p11059) :args ((forall @t245 @t6925))) % 1.71/1.95 (step @p11061 :rule aci_norm :args ((= (or @t441 @t6805) @t6925))) % 1.71/1.95 (step @p11062 :rule nary_cong :premises (@p10862 @p10274) :args ((or @t441 @t438))) % 1.71/1.95 (step @p11063 :rule trans :premises (@p11062 @p11061)) % 1.71/1.95 (step @p11064 :rule bool-impl-elim :args (@t422 @t438)) % 1.71/1.95 (step @p11065 :rule trans :premises (@p11064 @p11063)) % 1.71/1.95 (step @p11066 :rule cong :premises (@p11065) :args (@t439)) % 1.71/1.95 (step @p11067 :rule trans :premises (@p11066 @p11060)) % 1.71/1.95 (step @p11068 :rule refl :args (tptp.subsetE2)) % 1.71/1.95 (step @p11069 :rule cong :premises (@p11068 @p11067) :args (@t440)) % 1.71/1.95 (step @p11070 :rule eq_resolve :premises (@p82 @p11069)) % 1.71/1.95 (step @p11071 :rule cong :premises (@p11070 @p11058) :args (@t6926)) % 1.71/1.95 (step @p11072 :rule nary_cong :premises (@p10306 @p1615 @p1147) :args (@t6927)) % 1.71/1.95 (step @p11073 :rule cong :premises (@p11072) :args ((forall @t245 @t6927))) % 1.71/1.95 (step @p11074 :rule aci_norm :args ((= (or @t441 @t6809) @t6927))) % 1.71/1.95 (step @p11075 :rule nary_cong :premises (@p10862 @p10292) :args ((or @t441 @t191))) % 1.71/1.95 (step @p11076 :rule trans :premises (@p11075 @p11074)) % 1.71/1.95 (step @p11077 :rule bool-impl-elim :args (@t422 @t191)) % 1.71/1.95 (step @p11078 :rule trans :premises (@p11077 @p11076)) % 1.71/1.95 (step @p11079 :rule cong :premises (@p11078) :args (@t435)) % 1.71/1.95 (step @p11080 :rule trans :premises (@p11079 @p11073)) % 1.71/1.95 (step @p11081 :rule refl :args (tptp.subsetE)) % 1.71/1.95 (step @p11082 :rule cong :premises (@p11081 @p11080) :args (@t436)) % 1.71/1.95 (step @p11083 :rule eq_resolve :premises (@p81 @p11082)) % 1.71/1.95 (step @p11084 :rule cong :premises (@p11083 @p11071) :args (@t6928)) % 1.71/1.95 (step @p11085 :rule refl :args (@t3310)) % 1.71/1.95 (step @p11086 :rule refl :args (@t432)) % 1.71/1.95 (step @p11087 :rule cong :premises (@p11086 @p11085) :args ((= @t432 @t3310))) % 1.71/1.95 (step @p11088 :rule symm :premises (@p11087)) % 1.71/1.95 (step @p11089 :rule eq_resolve :premises (@p11086 @p11088)) % 1.71/1.95 (step @p11090 :rule cong :premises (@p11089) :args (@t433)) % 1.71/1.95 (step @p11091 :rule refl :args (tptp.emptysetsubset)) % 1.71/1.95 (step @p11092 :rule cong :premises (@p11091 @p11090) :args (@t434)) % 1.71/1.95 (step @p11093 :rule eq_resolve :premises (@p80 @p11092)) % 1.71/1.95 (step @p11094 :rule cong :premises (@p11093 @p11084) :args (@t6929)) % 1.71/1.95 (step @p11095 :rule eq-symm :args (@t3314 tptp.subsetI2)) % 1.71/1.95 (step @p11096 :rule refl :args (tptp.subsetI2)) % 1.71/1.95 (step @p11097 :rule refl :args (@t3313)) % 1.71/1.95 (step @p11098 :rule nary_cong :premises (@p11097 @p10198) :args (@t6930)) % 1.71/1.95 (step @p11099 :rule cong :premises (@p11098) :args ((forall @t12 @t6930))) % 1.71/1.95 (step @p11100 :rule bool-impl-elim :args (@t3312 @t422)) % 1.71/1.95 (step @p11101 :rule cong :premises (@p11100) :args ((forall @t12 (=> @t3312 @t422)))) % 1.71/1.95 (step @p11102 :rule trans :premises (@p11101 @p11099)) % 1.71/1.95 (step @p11103 :rule nary_cong :premises (@p1615 @p1147) :args (@t6809)) % 1.71/1.95 (step @p11104 :rule cong :premises (@p11103) :args ((forall @t9 @t6809))) % 1.71/1.95 (step @p11105 :rule cong :premises (@p10292) :args (@t192)) % 1.71/1.95 (step @p11106 :rule trans :premises (@p11105 @p11104)) % 1.71/1.95 (step @p11107 :rule cong :premises (@p11106 @p10211) :args (@t423)) % 1.71/1.95 (step @p11108 :rule cong :premises (@p11107) :args (@t424)) % 1.71/1.95 (step @p11109 :rule trans :premises (@p11108 @p11102)) % 1.71/1.95 (step @p11110 :rule cong :premises (@p11109 @p11096) :args ((= @t424 tptp.subsetI2))) % 1.71/1.95 (step @p11111 :rule trans :premises (@p11110 @p11095)) % 1.71/1.95 (step @p11112 :rule eq-symm :args (tptp.subsetI2 @t424)) % 1.71/1.95 (step @p11113 :rule trans :premises (@p11112 @p11111)) % 1.71/1.95 (step @p11114 :rule eq_resolve :premises (@p79 @p11113)) % 1.71/1.95 (step @p11115 :rule cong :premises (@p11114 @p11094) :args (@t6931)) % 1.71/1.95 (step @p11116 :rule aci_norm :args ((= (or false @t3305) @t3305))) % 1.71/1.95 (step @p11117 :rule nary_cong :premises (@p10980 @p11016) :args (@t6932)) % 1.71/1.95 (step @p11118 :rule trans :premises (@p11117 @p11116)) % 1.71/1.95 (step @p11119 :rule cong :premises (@p11118) :args ((forall @t41 @t6932))) % 1.71/1.95 (step @p11120 :rule quant-var-elim-eq :args ((= (forall @t64 @t6933) @t6932))) % 1.71/1.95 (step @p11121 :rule aci_norm :args ((= @t6934 @t6933))) % 1.71/1.95 (step @p11122 :rule cong :premises (@p11121) :args (@t6935)) % 1.71/1.95 (step @p11123 :rule trans :premises (@p11122 @p11120)) % 1.71/1.95 (step @p11124 :rule cong :premises (@p11123) :args (@t6936)) % 1.71/1.95 (step @p11125 :rule quant-merge-prenex :args ((= @t6936 @t6937))) % 1.71/1.95 (step @p11126 :rule symm :premises (@p11125)) % 1.71/1.95 (step @p11127 :rule quant_var_reordering :args ((= (forall @t12 @t6934) @t6937))) % 1.71/1.95 (step @p11128 :rule trans :premises (@p11127 @p11126 @p11124)) % 1.71/1.95 (step @p11129 :rule trans :premises (@p11128 @p11119)) % 1.71/1.95 (step @p11130 :rule nary_cong :premises (@p10995 @p10198) :args (@t6938)) % 1.71/1.95 (step @p11131 :rule cong :premises (@p11130) :args ((forall @t12 @t6938))) % 1.71/1.95 (step @p11132 :rule trans :premises (@p11131 @p11129)) % 1.71/1.95 (step @p11133 :rule bool-impl-elim :args (@t3 @t422)) % 1.71/1.95 (step @p11134 :rule cong :premises (@p11133) :args (@t430)) % 1.71/1.95 (step @p11135 :rule trans :premises (@p11134 @p11132)) % 1.71/1.95 (step @p11136 :rule refl :args (tptp.eqimpsubset1)) % 1.71/1.95 (step @p11137 :rule cong :premises (@p11136 @p11135) :args (@t431)) % 1.71/1.95 (step @p11138 :rule eq_resolve :premises (@p78 @p11137)) % 1.71/1.95 (step @p11139 :rule cong :premises (@p11138 @p11115) :args (@t6939)) % 1.71/1.95 (step @p11140 :rule quant-var-elim-eq :args ((= (forall @t64 @t6940) @t6932))) % 1.71/1.95 (step @p11141 :rule aci_norm :args ((= @t6941 @t6940))) % 1.71/1.95 (step @p11142 :rule cong :premises (@p11141) :args (@t6942)) % 1.71/1.95 (step @p11143 :rule trans :premises (@p11142 @p11140)) % 1.71/1.95 (step @p11144 :rule cong :premises (@p11143) :args (@t6943)) % 1.71/1.95 (step @p11145 :rule quant-merge-prenex :args ((= @t6943 @t6944))) % 1.71/1.95 (step @p11146 :rule symm :premises (@p11145)) % 1.71/1.95 (step @p11147 :rule quant_var_reordering :args ((= (forall @t12 @t6941) @t6944))) % 1.71/1.95 (step @p11148 :rule trans :premises (@p11147 @p11146 @p11144)) % 1.71/1.95 (step @p11149 :rule trans :premises (@p11148 @p11119)) % 1.71/1.95 (step @p11150 :rule nary_cong :premises (@p10995 @p10417) :args (@t6945)) % 1.71/1.95 (step @p11151 :rule cong :premises (@p11150) :args ((forall @t12 @t6945))) % 1.71/1.95 (step @p11152 :rule trans :premises (@p11151 @p11149)) % 1.71/1.95 (step @p11153 :rule bool-impl-elim :args (@t3 @t427)) % 1.71/1.95 (step @p11154 :rule cong :premises (@p11153) :args (@t428)) % 1.71/1.95 (step @p11155 :rule trans :premises (@p11154 @p11152)) % 1.71/1.95 (step @p11156 :rule refl :args (tptp.eqimpsubset2)) % 1.71/1.95 (step @p11157 :rule cong :premises (@p11156 @p11155) :args (@t429)) % 1.71/1.95 (step @p11158 :rule eq_resolve :premises (@p77 @p11157)) % 1.71/1.95 (step @p11159 :rule cong :premises (@p11158 @p11139) :args (@t6946)) % 1.71/1.95 (step @p11160 :rule refl :args (tptp.subsetI1)) % 1.71/1.95 (step @p11161 :rule cong :premises (@p11160 @p11109) :args (@t425)) % 1.71/1.95 (step @p11162 :rule eq_resolve :premises (@p76 @p11161)) % 1.71/1.95 (step @p11163 :rule cong :premises (@p11162 @p11159) :args (@t6947)) % 1.71/1.95 (step @p11164 :rule aci_norm :args ((= (or false @t3322 @t3319) @t3323))) % 1.71/1.95 (step @p11165 :rule eq-symm :args (@t3316 @t3318)) % 1.71/1.95 (step @p11166 :rule aci_norm :args ((= @t6948 @t3321))) % 1.71/1.95 (step @p11167 :rule cong :premises (@p11166) :args (@t6949)) % 1.71/1.95 (step @p11168 :rule cong :premises (@p11167) :args (@t6950)) % 1.71/1.95 (step @p11169 :rule nary_cong :premises (@p10980 @p11168 @p11165) :args (@t6951)) % 1.71/1.95 (step @p11170 :rule trans :premises (@p11169 @p11164)) % 1.71/1.95 (step @p11171 :rule cong :premises (@p11170) :args ((forall @t3324 @t6951))) % 1.71/1.95 (step @p11172 :rule quant-var-elim-eq :args ((= (forall @t64 @t6954) @t6951))) % 1.71/1.95 (step @p11173 :rule aci_norm :args ((= @t6955 @t6954))) % 1.71/1.95 (step @p11174 :rule cong :premises (@p11173) :args (@t6956)) % 1.71/1.95 (step @p11175 :rule trans :premises (@p11174 @p11172)) % 1.71/1.95 (step @p11176 :rule cong :premises (@p11175) :args (@t6957)) % 1.71/1.95 (step @p11177 :rule quant-merge-prenex :args ((= @t6957 @t6958))) % 1.71/1.95 (step @p11178 :rule symm :premises (@p11177)) % 1.71/1.95 (step @p11179 :rule quant_var_reordering :args ((= (forall @t6959 @t6955) @t6958))) % 1.71/1.95 (step @p11180 :rule trans :premises (@p11179 @p11178 @p11176)) % 1.71/1.95 (step @p11181 :rule trans :premises (@p11180 @p11171)) % 1.71/1.95 (step @p11182 :rule aci_norm :args ((= @t6961 @t6955))) % 1.71/1.95 (step @p11183 :rule cong :premises (@p11182) :args (@t6962)) % 1.71/1.95 (step @p11184 :rule trans :premises (@p11183 @p11181)) % 1.71/1.95 (step @p11185 :rule quant-merge-prenex :args ((= (forall @t12 @t6964) @t6962))) % 1.71/1.95 (step @p11186 :rule alpha_equiv :args (@t6965 (@list @t3315 @t3317) (@list @t143 @t368))) % 1.71/1.95 (step @p11187 :rule nary_cong :premises (@p10995 @p11186) :args (@t6966)) % 1.71/1.95 (step @p11188 :rule quant-miniscope-or :args ((= @t6964 @t6966))) % 1.71/1.95 (step @p11189 :rule trans :premises (@p11188 @p11187)) % 1.71/1.95 (step @p11190 :rule symm :premises (@p11189)) % 1.71/1.95 (step @p11191 :rule cong :premises (@p11190) :args ((forall @t12 (or @t445 @t6970)))) % 1.71/1.95 (step @p11192 :rule trans :premises (@p11191 @p11185)) % 1.71/1.95 (step @p11193 :rule trans :premises (@p11192 @p11184)) % 1.71/1.95 (step @p11194 :rule bool-impl-elim :args (@t3 @t6970)) % 1.71/1.95 (step @p11195 :rule cong :premises (@p11194) :args ((forall @t12 (=> @t3 @t6970)))) % 1.71/1.95 (step @p11196 :rule trans :premises (@p11195 @p11193)) % 1.71/1.95 (step @p11197 :rule lambda-elim :args ((= @t6971 @t368))) % 1.71/1.95 (step @p11198 :rule cong :premises (@p7194 @p11197) :args (@t6972)) % 1.71/1.95 (step @p11199 :rule cong :premises (@p9381 @p11198) :args (@t6973)) % 1.71/1.95 (step @p11200 :rule refl :args (@t6969)) % 1.71/1.95 (step @p11201 :rule nary_cong :premises (@p11200 @p11199) :args (@t6974)) % 1.71/1.95 (step @p11202 :rule cong :premises (@p11201) :args ((forall @t378 @t6974))) % 1.71/1.95 (step @p11203 :rule refl :args ((tptp.dsetconstr @t1 @t370))) % 1.71/1.95 (step @p11204 :rule refl :args (@t3349)) % 1.71/1.95 (step @p11205 :rule cong :premises (@p11204) :args (@t6971)) % 1.71/1.95 (step @p11206 :rule cong :premises (@p2930 @p11205) :args (@t6972)) % 1.71/1.95 (step @p11207 :rule trans :premises (@p11206 @p11203)) % 1.71/1.95 (step @p11208 :rule ho_cong :premises (@p2941 @p11205)) % 1.71/1.95 (step @p11209 :rule cong :premises (@p11208 @p11207) :args ((= (_ @t410 @t6971) @t6972))) % 1.71/1.95 (step @p11210 :rule symm :premises (@p11209)) % 1.71/1.95 (step @p11211 :rule refl :args (@t411)) % 1.71/1.95 (step @p11212 :rule eq_resolve :premises (@p11211 @p11210)) % 1.71/1.95 (step @p11213 :rule refl :args (@t369)) % 1.71/1.95 (step @p11214 :rule cong :premises (@p11213 @p11204) :args ((= @t369 @t3349))) % 1.71/1.95 (step @p11215 :rule symm :premises (@p11214)) % 1.71/1.95 (step @p11216 :rule eq_resolve :premises (@p11213 @p11215)) % 1.71/1.95 (step @p11217 :rule cong :premises (@p11216) :args (@t370)) % 1.71/1.95 (step @p11218 :rule ho_cong :premises (@p2941 @p11217)) % 1.71/1.95 (step @p11219 :rule trans :premises (@p11218 @p11212)) % 1.71/1.95 (step @p11220 :rule cong :premises (@p9404 @p11219) :args (@t412)) % 1.71/1.95 (step @p11221 :rule refl :args (@t6969)) % 1.71/1.95 (step @p11222 :rule nary_cong :premises (@p11221 @p11220) :args (@t6975)) % 1.71/1.95 (step @p11223 :rule cong :premises (@p11222) :args ((forall @t378 @t6975))) % 1.71/1.95 (step @p11224 :rule trans :premises (@p11223 @p11202)) % 1.71/1.95 (step @p11225 :rule bool-impl-elim :args (@t6968 @t412)) % 1.71/1.95 (step @p11226 :rule cong :premises (@p11225) :args ((forall @t378 (=> @t6968 @t412)))) % 1.71/1.95 (step @p11227 :rule trans :premises (@p11226 @p11224)) % 1.71/1.95 (step @p11228 :rule refl :args (@t412)) % 1.71/1.95 (step @p11229 :rule refl :args (@t6967)) % 1.71/1.95 (step @p11230 :rule refl :args (@t2180)) % 1.71/1.95 (step @p11231 :rule nary_cong :premises (@p1615 @p11230 @p11229) :args (@t6976)) % 1.71/1.95 (step @p11232 :rule cong :premises (@p11231) :args ((forall @t9 @t6976))) % 1.71/1.95 (step @p11233 :rule aci_norm :args ((= (or @t197 @t6977) @t6976))) % 1.71/1.95 (step @p11234 :rule bool-impl-elim :args (@t7 @t6977)) % 1.71/1.95 (step @p11235 :rule trans :premises (@p11234 @p11233)) % 1.71/1.95 (step @p11236 :rule cong :premises (@p11235) :args ((forall @t9 (=> @t7 @t6977)))) % 1.71/1.95 (step @p11237 :rule trans :premises (@p11236 @p11232)) % 1.71/1.95 (step @p11238 :rule aci_norm :args ((= (or @t2180 false @t6967) @t6977))) % 1.71/1.95 (step @p11239 :rule refl :args (@t6967)) % 1.71/1.95 (step @p11240 :rule eq-refl :args (@t4)) % 1.71/1.95 (step @p11241 :rule cong :premises (@p11240) :args (@t6978)) % 1.71/1.95 (step @p11242 :rule trans :premises (@p11241 @p928)) % 1.71/1.95 (step @p11243 :rule nary_cong :premises (@p10144 @p11242 @p11239) :args (@t6979)) % 1.71/1.95 (step @p11244 :rule trans :premises (@p11243 @p11238)) % 1.71/1.95 (step @p11245 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t2401 @t282 @t6980)) @t6979))) % 1.71/1.95 (step @p11246 :rule refl :args (@t6980)) % 1.71/1.95 (step @p11247 :rule refl :args (@t2401)) % 1.71/1.95 (step @p11248 :rule eq-symm :args (@t4 @t19)) % 1.71/1.95 (step @p11249 :rule cong :premises (@p11248) :args (@t282)) % 1.71/1.95 (step @p11250 :rule nary_cong :premises (@p11249 @p11247 @p9056 @p11246) :args (@t6981)) % 1.71/1.95 (step @p11251 :rule aci_norm :args ((= @t6982 @t6981))) % 1.71/1.95 (step @p11252 :rule trans :premises (@p11251 @p11250)) % 1.71/1.95 (step @p11253 :rule cong :premises (@p11252) :args ((forall @t70 @t6982))) % 1.71/1.95 (step @p11254 :rule trans :premises (@p11253 @p11245)) % 1.71/1.95 (step @p11255 :rule trans :premises (@p11254 @p11244)) % 1.71/1.95 (step @p11256 :rule refl :args (@t3327)) % 1.71/1.95 (step @p11257 :rule refl :args (@t373)) % 1.71/1.95 (step @p11258 :rule cong :premises (@p11257 @p11256) :args ((= @t373 @t3327))) % 1.71/1.95 (step @p11259 :rule symm :premises (@p11258)) % 1.71/1.95 (step @p11260 :rule eq_resolve :premises (@p11257 @p11259)) % 1.71/1.95 (step @p11261 :rule cong :premises (@p1167 @p11260) :args (@t374)) % 1.71/1.95 (step @p11262 :rule nary_cong :premises (@p3021 @p9056 @p11261) :args (@t6983)) % 1.71/1.95 (step @p11263 :rule cong :premises (@p11262) :args ((forall @t70 @t6983))) % 1.71/1.95 (step @p11264 :rule trans :premises (@p11263 @p11255)) % 1.71/1.95 (step @p11265 :rule aci_norm :args ((= (or @t4584 @t6984) @t6983))) % 1.71/1.95 (step @p11266 :rule bool-impl-elim :args (@t129 @t374)) % 1.71/1.95 (step @p11267 :rule nary_cong :premises (@p7523 @p11266) :args ((or @t4584 @t375))) % 1.71/1.95 (step @p11268 :rule trans :premises (@p11267 @p11265)) % 1.71/1.95 (step @p11269 :rule bool-impl-elim :args (@t354 @t375)) % 1.71/1.95 (step @p11270 :rule trans :premises (@p11269 @p11268)) % 1.71/1.95 (step @p11271 :rule cong :premises (@p11270) :args (@t413)) % 1.71/1.95 (step @p11272 :rule trans :premises (@p11271 @p11264)) % 1.71/1.95 (step @p11273 :rule cong :premises (@p1729 @p11272) :args (@t414)) % 1.71/1.95 (step @p11274 :rule cong :premises (@p11273) :args (@t415)) % 1.71/1.95 (step @p11275 :rule trans :premises (@p11274 @p11237)) % 1.71/1.95 (step @p11276 :rule cong :premises (@p11275 @p11228) :args (@t416)) % 1.71/1.95 (step @p11277 :rule cong :premises (@p11276) :args (@t417)) % 1.71/1.95 (step @p11278 :rule trans :premises (@p11277 @p11227)) % 1.71/1.95 (step @p11279 :rule refl :args (@t3)) % 1.71/1.95 (step @p11280 :rule cong :premises (@p11279 @p11278) :args (@t418)) % 1.71/1.95 (step @p11281 :rule cong :premises (@p11280) :args (@t419)) % 1.71/1.95 (step @p11282 :rule trans :premises (@p11281 @p11196)) % 1.71/1.95 (step @p11283 :rule refl :args (tptp.dsetconstr__Cong)) % 1.71/1.95 (step @p11284 :rule cong :premises (@p11283 @p11282) :args (@t420)) % 1.71/1.95 (step @p11285 :rule eq_resolve :premises (@p75 @p11284)) % 1.71/1.95 (step @p11286 :rule cong :premises (@p11285 @p11163) :args (@t6985)) % 1.71/1.95 (step @p11287 :rule eq-symm :args (@t3326 @t19)) % 1.71/1.95 (step @p11288 :rule refl :args (@t3328)) % 1.71/1.95 (step @p11289 :rule nary_cong :premises (@p11288 @p11287) :args (@t6986)) % 1.71/1.95 (step @p11290 :rule cong :premises (@p11289) :args (@t6987)) % 1.71/1.95 (step @p11291 :rule cong :premises (@p11290) :args (@t6988)) % 1.71/1.95 (step @p11292 :rule refl :args (@t3329)) % 1.71/1.95 (step @p11293 :rule eq-symm :args (@t3330 @t19)) % 1.71/1.95 (step @p11294 :rule refl :args (@t3116)) % 1.71/1.95 (step @p11295 :rule nary_cong :premises (@p11294 @p11293) :args (@t6989)) % 1.71/1.95 (step @p11296 :rule cong :premises (@p11295) :args (@t6990)) % 1.71/1.95 (step @p11297 :rule cong :premises (@p11296) :args (@t6991)) % 1.71/1.95 (step @p11298 :rule refl :args (@t3331)) % 1.71/1.95 (step @p11299 :rule refl :args (@t3333)) % 1.71/1.95 (step @p11300 :rule refl :args (@t3336)) % 1.71/1.95 (step @p11301 :rule nary_cong :premises (@p11300 @p11299 @p11298 @p11297 @p11292 @p11291) :args (@t6992)) % 1.71/1.95 (step @p11302 :rule aci_norm :args ((= @t6995 @t6992))) % 1.71/1.95 (step @p11303 :rule trans :premises (@p11302 @p11301)) % 1.71/1.95 (step @p11304 :rule cong :premises (@p11303) :args (@t6996)) % 1.71/1.95 (step @p11305 :rule quant-merge-prenex :args ((= (forall @t378 @t6997) @t6996))) % 1.71/1.95 (step @p11306 :rule refl :args (@t3333)) % 1.71/1.95 (step @p11307 :rule alpha_equiv :args (@t6998 (@list @t3326) @t3867)) % 1.71/1.95 (step @p11308 :rule alpha_equiv :args (@t6999 (@list @t3330) @t3867)) % 1.71/1.95 (step @p11309 :rule refl :args (@t3336)) % 1.71/1.95 (step @p11310 :rule nary_cong :premises (@p11309 @p11308 @p11307 @p11306) :args (@t7000)) % 1.71/1.95 (step @p11311 :rule quant-miniscope-or :args ((= @t6997 @t7000))) % 1.71/1.95 (step @p11312 :rule trans :premises (@p11311 @p11310)) % 1.71/1.95 (step @p11313 :rule symm :premises (@p11312)) % 1.71/1.95 (step @p11314 :rule cong :premises (@p11313) :args ((forall @t378 (or @t3336 @t3354 @t3350 @t3333)))) % 1.71/1.95 (step @p11315 :rule trans :premises (@p11314 @p11305)) % 1.71/1.95 (step @p11316 :rule trans :premises (@p11315 @p11304)) % 1.71/1.95 (step @p11317 :rule cong :premises (@p11197) :args (@t7001)) % 1.71/1.95 (step @p11318 :rule cong :premises (@p7919) :args (@t7002)) % 1.71/1.95 (step @p11319 :rule cong :premises (@p11318 @p11317) :args (@t7003)) % 1.71/1.95 (step @p11320 :rule refl :args (@t3350)) % 1.71/1.95 (step @p11321 :rule refl :args (@t3354)) % 1.71/1.95 (step @p11322 :rule nary_cong :premises (@p11300 @p11321 @p11320 @p11319) :args (@t7004)) % 1.71/1.95 (step @p11323 :rule cong :premises (@p11322) :args ((forall @t378 @t7004))) % 1.71/1.95 (step @p11324 :rule trans :premises (@p11323 @p11316)) % 1.71/1.95 (step @p11325 :rule refl :args ((tptp.descr @t370))) % 1.71/1.95 (step @p11326 :rule cong :premises (@p11205) :args (@t7001)) % 1.71/1.95 (step @p11327 :rule trans :premises (@p11326 @p11325)) % 1.71/1.95 (step @p11328 :rule refl :args (tptp.descr)) % 1.71/1.95 (step @p11329 :rule ho_cong :premises (@p11328 @p11205)) % 1.71/1.95 (step @p11330 :rule cong :premises (@p11329 @p11327) :args ((= (_ tptp.descr @t6971) @t7001))) % 1.71/1.95 (step @p11331 :rule symm :premises (@p11330)) % 1.71/1.95 (step @p11332 :rule refl :args (@t403)) % 1.71/1.95 (step @p11333 :rule eq_resolve :premises (@p11332 @p11331)) % 1.71/1.95 (step @p11334 :rule ho_cong :premises (@p11328 @p11217)) % 1.71/1.95 (step @p11335 :rule trans :premises (@p11334 @p11333)) % 1.71/1.95 (step @p11336 :rule refl :args ((tptp.descr @t145))) % 1.71/1.95 (step @p11337 :rule cong :premises (@p7927) :args (@t7002)) % 1.71/1.95 (step @p11338 :rule trans :premises (@p11337 @p11336)) % 1.71/1.95 (step @p11339 :rule ho_cong :premises (@p11328 @p7927)) % 1.71/1.95 (step @p11340 :rule cong :premises (@p11339 @p11338) :args ((= (_ tptp.descr @t6336) @t7002))) % 1.71/1.95 (step @p11341 :rule symm :premises (@p11340)) % 1.71/1.95 (step @p11342 :rule refl :args (@t146)) % 1.71/1.95 (step @p11343 :rule eq_resolve :premises (@p11342 @p11341)) % 1.71/1.95 (step @p11344 :rule ho_cong :premises (@p11328 @p7936)) % 1.71/1.95 (step @p11345 :rule trans :premises (@p11344 @p11343)) % 1.71/1.95 (step @p11346 :rule cong :premises (@p11345 @p11335) :args (@t404)) % 1.71/1.95 (step @p11347 :rule refl :args (@t3350)) % 1.71/1.95 (step @p11348 :rule refl :args (@t3354)) % 1.71/1.95 (step @p11349 :rule nary_cong :premises (@p11309 @p11348 @p11347 @p11346) :args (@t7005)) % 1.71/1.95 (step @p11350 :rule cong :premises (@p11349) :args ((forall @t378 @t7005))) % 1.71/1.95 (step @p11351 :rule trans :premises (@p11350 @p11324)) % 1.71/1.95 (step @p11352 :rule aci_norm :args ((= (or @t3336 @t7006) @t7005))) % 1.71/1.95 (step @p11353 :rule aci_norm :args ((= (or @t3354 (or @t3350 @t404)) @t7006))) % 1.71/1.95 (step @p11354 :rule refl :args (@t404)) % 1.71/1.95 (step @p11355 :rule bool-double-not-elim :args (@t3350)) % 1.71/1.95 (step @p11356 :rule nary_cong :premises (@p11355 @p11354) :args ((or (not @t3351) @t404))) % 1.71/1.95 (step @p11357 :rule bool-impl-elim :args (@t3351 @t404)) % 1.71/1.95 (step @p11358 :rule trans :premises (@p11357 @p11356)) % 1.71/1.95 (step @p11359 :rule nary_cong :premises (@p11348 @p11358) :args ((or @t3354 @t7007))) % 1.71/1.95 (step @p11360 :rule trans :premises (@p11359 @p11353)) % 1.71/1.95 (step @p11361 :rule refl :args (@t7007)) % 1.71/1.95 (step @p11362 :rule bool-double-not-elim :args (@t3354)) % 1.71/1.95 (step @p11363 :rule nary_cong :premises (@p11362 @p11361) :args ((or @t7008 @t7007))) % 1.71/1.95 (step @p11364 :rule bool-impl-elim :args (@t3355 @t7007)) % 1.71/1.95 (step @p11365 :rule trans :premises (@p11364 @p11363)) % 1.71/1.95 (step @p11366 :rule trans :premises (@p11365 @p11360)) % 1.71/1.95 (step @p11367 :rule nary_cong :premises (@p11309 @p11366) :args ((or @t3336 @t7009))) % 1.71/1.95 (step @p11368 :rule trans :premises (@p11367 @p11352)) % 1.71/1.95 (step @p11369 :rule bool-impl-elim :args (@t3335 @t7009)) % 1.71/1.95 (step @p11370 :rule trans :premises (@p11369 @p11368)) % 1.71/1.95 (step @p11371 :rule cong :premises (@p11370) :args ((forall @t378 (=> @t3335 @t7009)))) % 1.71/1.95 (step @p11372 :rule trans :premises (@p11371 @p11351)) % 1.71/1.95 (step @p11373 :rule refl :args (@t404)) % 1.71/1.95 (step @p11374 :rule refl :args (@t3348)) % 1.71/1.95 (step @p11375 :rule cong :premises (@p11216) :args (@t7010)) % 1.71/1.95 (step @p11376 :rule nary_cong :premises (@p11375 @p11374) :args (@t7011)) % 1.71/1.95 (step @p11377 :rule cong :premises (@p11376) :args ((forall @t9 @t7011))) % 1.71/1.95 (step @p11378 :rule cong :premises (@p11260) :args (@t7012)) % 1.71/1.95 (step @p11379 :rule nary_cong :premises (@p11378 @p1090) :args (@t7013)) % 1.71/1.95 (step @p11380 :rule cong :premises (@p11379) :args ((forall @t70 @t7013))) % 1.71/1.95 (step @p11381 :rule beta-reduce :args ((= @t7014 @t373))) % 1.71/1.95 (step @p11382 :rule cong :premises (@p11381) :args (@t7015)) % 1.71/1.95 (step @p11383 :rule nary_cong :premises (@p11382 @p1071) :args (@t7016)) % 1.71/1.95 (step @p11384 :rule cong :premises (@p11383) :args (@t7017)) % 1.71/1.95 (step @p11385 :rule trans :premises (@p11384 @p11380)) % 1.71/1.95 (step @p11386 :rule cong :premises (@p11385) :args (@t7018)) % 1.71/1.95 (step @p11387 :rule beta-reduce :args ((= @t7019 @t369))) % 1.71/1.95 (step @p11388 :rule cong :premises (@p11387) :args (@t7020)) % 1.71/1.95 (step @p11389 :rule nary_cong :premises (@p11388 @p11386) :args (@t7021)) % 1.71/1.95 (step @p11390 :rule cong :premises (@p11389) :args (@t7022)) % 1.71/1.95 (step @p11391 :rule trans :premises (@p11390 @p11377)) % 1.71/1.95 (step @p11392 :rule cong :premises (@p11391) :args (@t7023)) % 1.71/1.95 (step @p11393 :rule beta-reduce :args ((= @t7024 @t7023))) % 1.71/1.95 (step @p11394 :rule trans :premises (@p11393 @p11392)) % 1.71/1.95 (step @p11395 :rule cong :premises (@p11394 @p11373) :args (@t7025)) % 1.71/1.95 (step @p11396 :rule beta-reduce :args ((= @t7026 @t153))) % 1.71/1.95 (step @p11397 :rule cong :premises (@p11396) :args (@t7027)) % 1.71/1.95 (step @p11398 :rule nary_cong :premises (@p11397 @p1071) :args (@t7028)) % 1.71/1.95 (step @p11399 :rule cong :premises (@p11398) :args (@t7029)) % 1.71/1.95 (step @p11400 :rule trans :premises (@p11399 @p1184)) % 1.71/1.95 (step @p11401 :rule cong :premises (@p11400) :args (@t7030)) % 1.71/1.95 (step @p11402 :rule beta-reduce :args ((= @t7031 @t144))) % 1.71/1.95 (step @p11403 :rule cong :premises (@p11402) :args (@t7032)) % 1.71/1.95 (step @p11404 :rule nary_cong :premises (@p11403 @p11401) :args (@t7033)) % 1.71/1.95 (step @p11405 :rule cong :premises (@p11404) :args (@t7034)) % 1.71/1.95 (step @p11406 :rule trans :premises (@p11405 @p1170)) % 1.71/1.95 (step @p11407 :rule cong :premises (@p11406) :args (@t7035)) % 1.71/1.95 (step @p11408 :rule beta-reduce :args ((= @t7036 @t7035))) % 1.71/1.95 (step @p11409 :rule trans :premises (@p11408 @p11407)) % 1.71/1.95 (step @p11410 :rule cong :premises (@p11409 @p11395) :args (@t7037)) % 1.71/1.95 (step @p11411 :rule aci_norm :args ((= (or false @t3334) @t3334))) % 1.71/1.95 (step @p11412 :rule refl :args (@t3334)) % 1.71/1.95 (step @p11413 :rule nary_cong :premises (@p9031 @p11412) :args (@t7038)) % 1.71/1.95 (step @p11414 :rule trans :premises (@p11413 @p11411)) % 1.71/1.95 (step @p11415 :rule cong :premises (@p11414) :args ((forall @t70 @t7038))) % 1.71/1.95 (step @p11416 :rule quant-var-elim-eq :args ((= (forall @t9 @t7039) @t7038))) % 1.71/1.95 (step @p11417 :rule aci_norm :args ((= @t7040 @t7039))) % 1.71/1.95 (step @p11418 :rule cong :premises (@p11417) :args (@t7041)) % 1.71/1.95 (step @p11419 :rule trans :premises (@p11418 @p11416)) % 1.71/1.95 (step @p11420 :rule cong :premises (@p11419) :args (@t7042)) % 1.71/1.95 (step @p11421 :rule quant-merge-prenex :args ((= @t7042 @t7043))) % 1.71/1.95 (step @p11422 :rule symm :premises (@p11421)) % 1.71/1.95 (step @p11423 :rule quant_var_reordering :args ((= (forall @t135 @t7040) @t7043))) % 1.71/1.95 (step @p11424 :rule trans :premises (@p11423 @p11422 @p11420)) % 1.71/1.95 (step @p11425 :rule trans :premises (@p11424 @p11415)) % 1.71/1.95 (step @p11426 :rule nary_cong :premises (@p9056 @p11261) :args (@t6984)) % 1.71/1.95 (step @p11427 :rule cong :premises (@p11426) :args ((forall @t135 @t6984))) % 1.71/1.95 (step @p11428 :rule trans :premises (@p11427 @p11425)) % 1.71/1.95 (step @p11429 :rule cong :premises (@p11266) :args (@t376)) % 1.71/1.95 (step @p11430 :rule trans :premises (@p11429 @p11428)) % 1.71/1.95 (step @p11431 :rule cong :premises (@p11430 @p11410) :args (@t7044)) % 1.71/1.95 (step @p11432 :rule cong :premises (@p11431) :args (@t7045)) % 1.71/1.95 (step @p11433 :rule trans :premises (@p11432 @p11372)) % 1.71/1.95 (step @p11434 :rule refl :args (tptp.descr__Cong)) % 1.71/1.95 (step @p11435 :rule cong :premises (@p11434 @p11433) :args ((= tptp.descr__Cong @t7045))) % 1.71/1.95 (step @p11436 :rule refl :args (@t370)) % 1.71/1.95 (step @p11437 :rule ho_cong :premises (@p1193 @p11436)) % 1.71/1.95 (step @p11438 :rule cong :premises (@p11437 @p11373) :args (@t405)) % 1.71/1.95 (step @p11439 :rule refl :args (@t145)) % 1.71/1.95 (step @p11440 :rule ho_cong :premises (@p1193 @p11439)) % 1.71/1.95 (step @p11441 :rule cong :premises (@p11440 @p11438) :args (@t406)) % 1.71/1.95 (step @p11442 :rule refl :args (@t376)) % 1.71/1.95 (step @p11443 :rule cong :premises (@p11442 @p11441) :args (@t407)) % 1.71/1.95 (step @p11444 :rule cong :premises (@p11443) :args (@t408)) % 1.71/1.95 (step @p11445 :rule cong :premises (@p11434 @p11444) :args (@t409)) % 1.71/1.95 (step @p11446 :rule trans :premises (@p11445 @p11435)) % 1.71/1.95 (step @p11447 :rule eq_resolve :premises (@p74 @p11446)) % 1.71/1.95 (step @p11448 :rule cong :premises (@p11447 @p11286) :args (@t7046)) % 1.71/1.95 (step @p11449 :rule refl :args (@t3341)) % 1.71/1.95 (step @p11450 :rule refl :args (@t3342)) % 1.71/1.95 (step @p11451 :rule refl :args (@t3343)) % 1.71/1.95 (step @p11452 :rule eq-symm :args (@t3344 @t19)) % 1.71/1.95 (step @p11453 :rule nary_cong :premises (@p11294 @p11452) :args (@t7047)) % 1.71/1.95 (step @p11454 :rule cong :premises (@p11453) :args (@t7048)) % 1.71/1.95 (step @p11455 :rule cong :premises (@p11454) :args (@t7049)) % 1.71/1.95 (step @p11456 :rule refl :args (@t3345)) % 1.71/1.95 (step @p11457 :rule nary_cong :premises (@p11456 @p11455 @p11451 @p11450 @p11449) :args (@t7050)) % 1.71/1.95 (step @p11458 :rule aci_norm :args ((= @t7053 @t7050))) % 1.71/1.95 (step @p11459 :rule trans :premises (@p11458 @p11457)) % 1.71/1.95 (step @p11460 :rule cong :premises (@p11459) :args (@t7054)) % 1.71/1.95 (step @p11461 :rule quant-merge-prenex :args ((= (forall @t150 @t7055) @t7054))) % 1.71/1.95 (step @p11462 :rule alpha_equiv :args (@t7056 (@list @t3340 @t3339) (@list @t4 @t19))) % 1.71/1.95 (step @p11463 :rule alpha_equiv :args (@t7057 (@list @t3344) @t3867)) % 1.71/1.95 (step @p11464 :rule nary_cong :premises (@p11463 @p11462) :args (@t7058)) % 1.71/1.95 (step @p11465 :rule quant-miniscope-or :args ((= @t7055 @t7058))) % 1.71/1.95 (step @p11466 :rule trans :premises (@p11465 @p11464)) % 1.71/1.95 (step @p11467 :rule symm :premises (@p11466)) % 1.71/1.95 (step @p11468 :rule cong :premises (@p11467) :args ((forall @t150 (or @t3354 @t3361)))) % 1.71/1.95 (step @p11469 :rule trans :premises (@p11468 @p11461)) % 1.71/1.95 (step @p11470 :rule trans :premises (@p11469 @p11460)) % 1.71/1.95 (step @p11471 :rule refl :args (@t3361)) % 1.71/1.95 (step @p11472 :rule nary_cong :premises (@p11362 @p11471) :args ((or @t7008 @t3361))) % 1.71/1.95 (step @p11473 :rule bool-impl-elim :args (@t3355 @t3361)) % 1.71/1.95 (step @p11474 :rule trans :premises (@p11473 @p11472)) % 1.71/1.95 (step @p11475 :rule cong :premises (@p11474) :args ((forall @t150 (=> @t3355 @t3361)))) % 1.71/1.95 (step @p11476 :rule trans :premises (@p11475 @p11470)) % 1.71/1.95 (step @p11477 :rule nary_cong :premises (@p1168 @p1182 @p1090) :args (@t6356)) % 1.71/1.95 (step @p11478 :rule cong :premises (@p11477) :args ((forall @t135 @t6356))) % 1.71/1.95 (step @p11479 :rule cong :premises (@p7982) :args (@t346)) % 1.71/1.95 (step @p11480 :rule trans :premises (@p11479 @p11478)) % 1.71/1.95 (step @p11481 :rule cong :premises (@p11409 @p11480) :args (@t7059)) % 1.71/1.95 (step @p11482 :rule cong :premises (@p11481) :args (@t7060)) % 1.71/1.95 (step @p11483 :rule trans :premises (@p11482 @p11476)) % 1.71/1.95 (step @p11484 :rule refl :args (tptp.exuEu)) % 1.71/1.95 (step @p11485 :rule cong :premises (@p11484 @p11483) :args ((= tptp.exuEu @t7060))) % 1.71/1.95 (step @p11486 :rule refl :args (@t346)) % 1.71/1.95 (step @p11487 :rule cong :premises (@p11440 @p11486) :args (@t365)) % 1.71/1.95 (step @p11488 :rule cong :premises (@p11487) :args (@t366)) % 1.71/1.95 (step @p11489 :rule cong :premises (@p11484 @p11488) :args (@t402)) % 1.71/1.95 (step @p11490 :rule trans :premises (@p11489 @p11485)) % 1.71/1.95 (step @p11491 :rule eq_resolve :premises (@p73 @p11490)) % 1.71/1.95 (step @p11492 :rule cong :premises (@p11491 @p11448) :args (@t7061)) % 1.71/1.95 (step @p11493 :rule bool-eq-true :args (tptp.omega__Cong)) % 1.71/1.95 (step @p11494 :rule symm :premises (@p11493)) % 1.71/1.95 (step @p11495 :rule eq-refl :args (tptp.omega)) % 1.71/1.95 (step @p11496 :rule refl :args (tptp.omega__Cong)) % 1.71/1.95 (step @p11497 :rule cong :premises (@p11496 @p11495) :args (@t401)) % 1.71/1.95 (step @p11498 :rule trans :premises (@p11497 @p11493)) % 1.71/1.95 (step @p11499 :rule eq_resolve :premises (@p72 @p11498)) % 1.71/1.95 (step @p11500 :rule eq_resolve :premises (@p11499 @p11494)) % 1.71/1.95 (step @p11501 :rule cong :premises (@p11500 @p11492) :args (@t7062)) % 1.71/1.95 (step @p11502 :rule bool-eq-true :args (tptp.setunion__Cong)) % 1.71/1.95 (step @p11503 :rule symm :premises (@p11502)) % 1.71/1.95 (step @p11504 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 1.71/1.95 (step @p11505 :rule evaluate :args ((or false true))) % 1.71/1.95 (step @p11506 :rule eq-refl :args (@t7063)) % 1.71/1.95 (step @p11507 :rule nary_cong :premises (@p10980 @p11506) :args (@t7064)) % 1.71/1.95 (step @p11508 :rule trans :premises (@p11507 @p11505)) % 1.71/1.95 (step @p11509 :rule cong :premises (@p11508) :args ((forall @t41 @t7064))) % 1.71/1.95 (step @p11510 :rule trans :premises (@p11509 @p11504)) % 1.71/1.95 (step @p11511 :rule quant-var-elim-eq :args ((= (forall @t64 @t7066) @t7064))) % 1.71/1.95 (step @p11512 :rule aci_norm :args ((= @t7067 @t7066))) % 1.71/1.95 (step @p11513 :rule cong :premises (@p11512) :args (@t7068)) % 1.71/1.95 (step @p11514 :rule trans :premises (@p11513 @p11511)) % 1.71/1.95 (step @p11515 :rule cong :premises (@p11514) :args (@t7069)) % 1.71/1.95 (step @p11516 :rule quant-merge-prenex :args ((= @t7069 @t7070))) % 1.71/1.95 (step @p11517 :rule symm :premises (@p11516)) % 1.71/1.95 (step @p11518 :rule quant_var_reordering :args ((= (forall @t12 @t7067) @t7070))) % 1.71/1.95 (step @p11519 :rule trans :premises (@p11518 @p11517 @p11515)) % 1.71/1.95 (step @p11520 :rule trans :premises (@p11519 @p11510)) % 1.71/1.95 (step @p11521 :rule refl :args (@t7063)) % 1.71/1.95 (step @p11522 :rule refl :args (@t397)) % 1.71/1.95 (step @p11523 :rule cong :premises (@p11522 @p11521) :args ((= @t397 @t7063))) % 1.71/1.95 (step @p11524 :rule symm :premises (@p11523)) % 1.71/1.95 (step @p11525 :rule eq_resolve :premises (@p11522 @p11524)) % 1.71/1.95 (step @p11526 :rule cong :premises (@p9509 @p11525) :args (@t398)) % 1.71/1.95 (step @p11527 :rule nary_cong :premises (@p10995 @p11526) :args (@t7071)) % 1.71/1.95 (step @p11528 :rule cong :premises (@p11527) :args ((forall @t12 @t7071))) % 1.71/1.95 (step @p11529 :rule trans :premises (@p11528 @p11520)) % 1.71/1.95 (step @p11530 :rule bool-impl-elim :args (@t3 @t398)) % 1.71/1.95 (step @p11531 :rule cong :premises (@p11530) :args (@t399)) % 1.71/1.95 (step @p11532 :rule trans :premises (@p11531 @p11529)) % 1.71/1.95 (step @p11533 :rule refl :args (tptp.setunion__Cong)) % 1.71/1.95 (step @p11534 :rule cong :premises (@p11533 @p11532) :args (@t400)) % 1.71/1.95 (step @p11535 :rule trans :premises (@p11534 @p11502)) % 1.71/1.95 (step @p11536 :rule eq_resolve :premises (@p71 @p11535)) % 1.71/1.95 (step @p11537 :rule eq_resolve :premises (@p11536 @p11503)) % 1.71/1.95 (step @p11538 :rule cong :premises (@p11537 @p11501) :args (@t7072)) % 1.71/1.95 (step @p11539 :rule bool-eq-true :args (tptp.powerset__Cong)) % 1.71/1.95 (step @p11540 :rule symm :premises (@p11539)) % 1.71/1.95 (step @p11541 :rule eq-refl :args (@t3280)) % 1.71/1.95 (step @p11542 :rule nary_cong :premises (@p10980 @p11541) :args (@t7073)) % 1.71/1.95 (step @p11543 :rule trans :premises (@p11542 @p11505)) % 1.71/1.95 (step @p11544 :rule cong :premises (@p11543) :args ((forall @t41 @t7073))) % 1.71/1.95 (step @p11545 :rule trans :premises (@p11544 @p11504)) % 1.71/1.95 (step @p11546 :rule quant-var-elim-eq :args ((= (forall @t64 @t7075) @t7073))) % 1.71/1.95 (step @p11547 :rule aci_norm :args ((= @t7076 @t7075))) % 1.71/1.95 (step @p11548 :rule cong :premises (@p11547) :args (@t7077)) % 1.71/1.95 (step @p11549 :rule trans :premises (@p11548 @p11546)) % 1.71/1.95 (step @p11550 :rule cong :premises (@p11549) :args (@t7078)) % 1.71/1.95 (step @p11551 :rule quant-merge-prenex :args ((= @t7078 @t7079))) % 1.71/1.95 (step @p11552 :rule symm :premises (@p11551)) % 1.71/1.95 (step @p11553 :rule quant_var_reordering :args ((= (forall @t12 @t7076) @t7079))) % 1.71/1.95 (step @p11554 :rule trans :premises (@p11553 @p11552 @p11550)) % 1.71/1.95 (step @p11555 :rule trans :premises (@p11554 @p11545)) % 1.71/1.95 (step @p11556 :rule cong :premises (@p3098 @p10782) :args (@t394)) % 1.71/1.95 (step @p11557 :rule nary_cong :premises (@p10995 @p11556) :args (@t7080)) % 1.71/1.95 (step @p11558 :rule cong :premises (@p11557) :args ((forall @t12 @t7080))) % 1.71/1.95 (step @p11559 :rule trans :premises (@p11558 @p11555)) % 1.71/1.95 (step @p11560 :rule bool-impl-elim :args (@t3 @t394)) % 1.71/1.95 (step @p11561 :rule cong :premises (@p11560) :args (@t395)) % 1.71/1.95 (step @p11562 :rule trans :premises (@p11561 @p11559)) % 1.71/1.95 (step @p11563 :rule refl :args (tptp.powerset__Cong)) % 1.71/1.95 (step @p11564 :rule cong :premises (@p11563 @p11562) :args (@t396)) % 1.71/1.95 (step @p11565 :rule trans :premises (@p11564 @p11539)) % 1.71/1.95 (step @p11566 :rule eq_resolve :premises (@p70 @p11565)) % 1.71/1.95 (step @p11567 :rule eq_resolve :premises (@p11566 @p11540)) % 1.71/1.95 (step @p11568 :rule cong :premises (@p11567 @p11538) :args (@t7081)) % 1.71/1.95 (step @p11569 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 1.71/1.95 (step @p11570 :rule symm :premises (@p11569)) % 1.71/1.95 (step @p11571 :rule quant-unused-vars :args ((= (forall @t7083 true) true))) % 1.71/1.95 (step @p11572 :rule eq-refl :args (@t7084)) % 1.71/1.95 (step @p11573 :rule nary_cong :premises (@p9031 @p11572) :args (@t7085)) % 1.71/1.95 (step @p11574 :rule trans :premises (@p11573 @p11505)) % 1.71/1.95 (step @p11575 :rule cong :premises (@p11574) :args ((forall @t7083 @t7085))) % 1.71/1.95 (step @p11576 :rule trans :premises (@p11575 @p11571)) % 1.71/1.95 (step @p11577 :rule quant-var-elim-eq :args ((= (forall @t9 @t7087) @t7085))) % 1.71/1.95 (step @p11578 :rule aci_norm :args ((= @t7088 @t7087))) % 1.71/1.95 (step @p11579 :rule cong :premises (@p11578) :args (@t7089)) % 1.71/1.95 (step @p11580 :rule trans :premises (@p11579 @p11577)) % 1.71/1.95 (step @p11581 :rule cong :premises (@p11580) :args (@t7090)) % 1.71/1.95 (step @p11582 :rule quant-merge-prenex :args ((= @t7090 @t7091))) % 1.71/1.95 (step @p11583 :rule symm :premises (@p11582)) % 1.71/1.95 (step @p11584 :rule quant_var_reordering :args ((= @t7092 @t7091))) % 1.71/1.95 (step @p11585 :rule trans :premises (@p11584 @p11583 @p11581)) % 1.71/1.95 (step @p11586 :rule trans :premises (@p11585 @p11576)) % 1.71/1.95 (step @p11587 :rule quant-merge-prenex :args ((= (forall @t135 @t7094) @t7092))) % 1.71/1.95 (step @p11588 :rule alpha_equiv :args (@t7095 (@list @t7082) (@list @t383))) % 1.71/1.95 (step @p11589 :rule nary_cong :premises (@p9056 @p11588) :args (@t7096)) % 1.71/1.95 (step @p11590 :rule quant-miniscope-or :args ((= @t7094 @t7096))) % 1.71/1.95 (step @p11591 :rule trans :premises (@p11590 @p11589)) % 1.71/1.95 (step @p11592 :rule symm :premises (@p11591)) % 1.71/1.95 (step @p11593 :rule cong :premises (@p11592) :args ((forall @t135 (or @t282 @t7100)))) % 1.71/1.95 (step @p11594 :rule trans :premises (@p11593 @p11587)) % 1.71/1.95 (step @p11595 :rule trans :premises (@p11594 @p11586)) % 1.71/1.95 (step @p11596 :rule bool-impl-elim :args (@t129 @t7100)) % 1.71/1.95 (step @p11597 :rule cong :premises (@p11596) :args ((forall @t135 (=> @t129 @t7100)))) % 1.71/1.95 (step @p11598 :rule trans :premises (@p11597 @p11595)) % 1.71/1.95 (step @p11599 :rule aci_norm :args ((= (or false @t7099) @t7099))) % 1.71/1.95 (step @p11600 :rule eq-symm :args (@t7097 @t7098)) % 1.71/1.95 (step @p11601 :rule nary_cong :premises (@p8995 @p11600) :args (@t7101)) % 1.71/1.95 (step @p11602 :rule trans :premises (@p11601 @p11599)) % 1.71/1.95 (step @p11603 :rule cong :premises (@p11602) :args ((forall @t757 @t7101))) % 1.71/1.95 (step @p11604 :rule quant-var-elim-eq :args ((= (forall @t1068 @t7104) @t7101))) % 1.71/1.95 (step @p11605 :rule aci_norm :args ((= @t7105 @t7104))) % 1.71/1.95 (step @p11606 :rule cong :premises (@p11605) :args (@t7106)) % 1.71/1.95 (step @p11607 :rule trans :premises (@p11606 @p11604)) % 1.71/1.95 (step @p11608 :rule cong :premises (@p11607) :args (@t7107)) % 1.71/1.95 (step @p11609 :rule quant-merge-prenex :args ((= @t7107 @t7108))) % 1.71/1.95 (step @p11610 :rule symm :premises (@p11609)) % 1.71/1.95 (step @p11611 :rule quant_var_reordering :args ((= (forall @t388 @t7105) @t7108))) % 1.71/1.95 (step @p11612 :rule trans :premises (@p11611 @p11610 @p11608)) % 1.71/1.95 (step @p11613 :rule trans :premises (@p11612 @p11603)) % 1.71/1.95 (step @p11614 :rule refl :args (@t7098)) % 1.71/1.95 (step @p11615 :rule refl :args (@t384)) % 1.71/1.95 (step @p11616 :rule cong :premises (@p11615 @p11614) :args ((= @t384 @t7098))) % 1.71/1.95 (step @p11617 :rule symm :premises (@p11616)) % 1.71/1.95 (step @p11618 :rule eq_resolve :premises (@p11615 @p11617)) % 1.71/1.95 (step @p11619 :rule refl :args (@t7102)) % 1.71/1.95 (step @p11620 :rule refl :args (@t385)) % 1.71/1.95 (step @p11621 :rule cong :premises (@p11620 @p11619) :args ((= @t385 @t7102))) % 1.71/1.95 (step @p11622 :rule symm :premises (@p11621)) % 1.71/1.95 (step @p11623 :rule eq_resolve :premises (@p11620 @p11622)) % 1.71/1.95 (step @p11624 :rule cong :premises (@p11623 @p11618) :args (@t386)) % 1.71/1.95 (step @p11625 :rule nary_cong :premises (@p9010 @p11624) :args (@t7109)) % 1.71/1.95 (step @p11626 :rule cong :premises (@p11625) :args ((forall @t388 @t7109))) % 1.71/1.95 (step @p11627 :rule trans :premises (@p11626 @p11613)) % 1.71/1.95 (step @p11628 :rule bool-impl-elim :args (@t387 @t386)) % 1.71/1.95 (step @p11629 :rule cong :premises (@p11628) :args (@t389)) % 1.71/1.95 (step @p11630 :rule trans :premises (@p11629 @p11627)) % 1.71/1.95 (step @p11631 :rule cong :premises (@p1071 @p11630) :args (@t390)) % 1.71/1.95 (step @p11632 :rule cong :premises (@p11631) :args (@t391)) % 1.71/1.95 (step @p11633 :rule trans :premises (@p11632 @p11598)) % 1.71/1.95 (step @p11634 :rule refl :args (tptp.setadjoin__Cong)) % 1.71/1.95 (step @p11635 :rule cong :premises (@p11634 @p11633) :args (@t392)) % 1.71/1.95 (step @p11636 :rule trans :premises (@p11635 @p11569)) % 1.71/1.95 (step @p11637 :rule eq_resolve :premises (@p69 @p11636)) % 1.71/1.95 (step @p11638 :rule eq_resolve :premises (@p11637 @p11570)) % 1.71/1.95 (step @p11639 :rule cong :premises (@p11638 @p11568) :args (@t7110)) % 1.71/1.95 (step @p11640 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 1.71/1.95 (step @p11641 :rule symm :premises (@p11640)) % 1.71/1.95 (step @p11642 :rule eq-refl :args (tptp.emptyset)) % 1.71/1.95 (step @p11643 :rule refl :args (tptp.emptyset__Cong)) % 1.71/1.95 (step @p11644 :rule cong :premises (@p11643 @p11642) :args (@t382)) % 1.71/1.95 (step @p11645 :rule trans :premises (@p11644 @p11640)) % 1.71/1.95 (step @p11646 :rule eq_resolve :premises (@p68 @p11645)) % 1.71/1.95 (step @p11647 :rule eq_resolve :premises (@p11646 @p11641)) % 1.71/1.95 (step @p11648 :rule cong :premises (@p11647 @p11639) :args (@t7111)) % 1.71/1.95 (step @p11649 :rule bool-impl-elim :args (@t3335 @t3356)) % 1.71/1.95 (step @p11650 :rule cong :premises (@p11649) :args ((forall @t378 (=> @t3335 @t3356)))) % 1.71/1.95 (step @p11651 :rule cong :premises (@p11409 @p11394) :args (@t7112)) % 1.71/1.95 (step @p11652 :rule cong :premises (@p11430 @p11651) :args (@t7113)) % 1.71/1.95 (step @p11653 :rule cong :premises (@p11652) :args (@t7114)) % 1.71/1.95 (step @p11654 :rule trans :premises (@p11653 @p11650)) % 1.71/1.95 (step @p11655 :rule refl :args (tptp.exu__Cong)) % 1.71/1.95 (step @p11656 :rule cong :premises (@p11655 @p11654) :args ((= tptp.exu__Cong @t7114))) % 1.71/1.95 (step @p11657 :rule cong :premises (@p11440 @p11437) :args (@t372)) % 1.71/1.95 (step @p11658 :rule cong :premises (@p11442 @p11657) :args (@t377)) % 1.71/1.95 (step @p11659 :rule cong :premises (@p11658) :args (@t379)) % 1.71/1.95 (step @p11660 :rule cong :premises (@p11655 @p11659) :args (@t380)) % 1.71/1.95 (step @p11661 :rule trans :premises (@p11660 @p11656)) % 1.71/1.95 (step @p11662 :rule eq_resolve :premises (@p67 @p11661)) % 1.71/1.95 (step @p11663 :rule cong :premises (@p11662 @p11648) :args (@t7115)) % 1.71/1.95 (step @p11664 :rule refl :args (tptp.exuE3u)) % 1.71/1.95 (step @p11665 :rule cong :premises (@p11664 @p11483) :args ((= tptp.exuE3u @t7060))) % 1.71/1.95 (step @p11666 :rule cong :premises (@p11664 @p11488) :args (@t367)) % 1.71/1.95 (step @p11667 :rule trans :premises (@p11666 @p11665)) % 1.71/1.95 (step @p11668 :rule eq_resolve :premises (@p66 @p11667)) % 1.71/1.95 (step @p11669 :rule cong :premises (@p11668 @p11663) :args (@t7116)) % 1.71/1.95 (step @p11670 :rule bool-eq-true :args (tptp.in__Cong)) % 1.71/1.95 (step @p11671 :rule symm :premises (@p11670)) % 1.71/1.95 (step @p11672 :rule quant-unused-vars :args ((= (forall @t7118 true) true))) % 1.71/1.95 (step @p11673 :rule eq-refl :args (@t7119)) % 1.71/1.95 (step @p11674 :rule nary_cong :premises (@p10980 @p11673) :args (@t7120)) % 1.71/1.95 (step @p11675 :rule trans :premises (@p11674 @p11505)) % 1.71/1.95 (step @p11676 :rule cong :premises (@p11675) :args ((forall @t7118 @t7120))) % 1.71/1.95 (step @p11677 :rule trans :premises (@p11676 @p11672)) % 1.71/1.95 (step @p11678 :rule quant-var-elim-eq :args ((= (forall @t64 @t7122) @t7120))) % 1.71/1.95 (step @p11679 :rule aci_norm :args ((= @t7123 @t7122))) % 1.71/1.95 (step @p11680 :rule cong :premises (@p11679) :args (@t7124)) % 1.71/1.95 (step @p11681 :rule trans :premises (@p11680 @p11678)) % 1.71/1.95 (step @p11682 :rule cong :premises (@p11681) :args (@t7125)) % 1.71/1.95 (step @p11683 :rule quant-merge-prenex :args ((= @t7125 @t7126))) % 1.71/1.95 (step @p11684 :rule symm :premises (@p11683)) % 1.71/1.95 (step @p11685 :rule quant_var_reordering :args ((= @t7127 @t7126))) % 1.71/1.95 (step @p11686 :rule trans :premises (@p11685 @p11684 @p11682)) % 1.71/1.95 (step @p11687 :rule trans :premises (@p11686 @p11677)) % 1.71/1.95 (step @p11688 :rule quant-merge-prenex :args ((= (forall @t12 @t7129) @t7127))) % 1.71/1.95 (step @p11689 :rule alpha_equiv :args (@t7130 (@list @t7117) @t3833)) % 1.71/1.95 (step @p11690 :rule nary_cong :premises (@p10995 @p11689) :args (@t7131)) % 1.71/1.95 (step @p11691 :rule quant-miniscope-or :args ((= @t7129 @t7131))) % 1.71/1.95 (step @p11692 :rule trans :premises (@p11691 @p11690)) % 1.71/1.95 (step @p11693 :rule symm :premises (@p11692)) % 1.71/1.95 (step @p11694 :rule cong :premises (@p11693) :args ((forall @t12 (or @t445 @t7133)))) % 1.71/1.95 (step @p11695 :rule trans :premises (@p11694 @p11688)) % 1.71/1.95 (step @p11696 :rule trans :premises (@p11695 @p11687)) % 1.71/1.95 (step @p11697 :rule bool-impl-elim :args (@t3 @t7133)) % 1.71/1.95 (step @p11698 :rule cong :premises (@p11697) :args ((forall @t12 (=> @t3 @t7133)))) % 1.71/1.95 (step @p11699 :rule trans :premises (@p11698 @p11696)) % 1.71/1.95 (step @p11700 :rule aci_norm :args ((= (or false @t7132) @t7132))) % 1.71/1.95 (step @p11701 :rule refl :args (@t7132)) % 1.71/1.95 (step @p11702 :rule nary_cong :premises (@p9031 @p11701) :args (@t7134)) % 1.71/1.95 (step @p11703 :rule trans :premises (@p11702 @p11700)) % 1.71/1.95 (step @p11704 :rule cong :premises (@p11703) :args ((forall @t70 @t7134))) % 1.71/1.95 (step @p11705 :rule quant-var-elim-eq :args ((= (forall @t9 @t7136) @t7134))) % 1.71/1.95 (step @p11706 :rule aci_norm :args ((= @t7137 @t7136))) % 1.71/1.95 (step @p11707 :rule cong :premises (@p11706) :args (@t7138)) % 1.71/1.95 (step @p11708 :rule trans :premises (@p11707 @p11705)) % 1.71/1.95 (step @p11709 :rule cong :premises (@p11708) :args (@t7139)) % 1.71/1.95 (step @p11710 :rule quant-merge-prenex :args ((= @t7139 @t7140))) % 1.71/1.95 (step @p11711 :rule symm :premises (@p11710)) % 1.71/1.95 (step @p11712 :rule quant_var_reordering :args ((= (forall @t135 @t7137) @t7140))) % 1.71/1.95 (step @p11713 :rule trans :premises (@p11712 @p11711 @p11709)) % 1.71/1.95 (step @p11714 :rule trans :premises (@p11713 @p11704)) % 1.71/1.95 (step @p11715 :rule cong :premises (@p1614 @p3020) :args (@t360)) % 1.71/1.95 (step @p11716 :rule nary_cong :premises (@p9056 @p11715) :args (@t7141)) % 1.71/1.95 (step @p11717 :rule cong :premises (@p11716) :args ((forall @t135 @t7141))) % 1.71/1.95 (step @p11718 :rule trans :premises (@p11717 @p11714)) % 1.71/1.95 (step @p11719 :rule bool-impl-elim :args (@t129 @t360)) % 1.71/1.95 (step @p11720 :rule cong :premises (@p11719) :args (@t361)) % 1.71/1.95 (step @p11721 :rule trans :premises (@p11720 @p11718)) % 1.71/1.95 (step @p11722 :rule cong :premises (@p11279 @p11721) :args (@t362)) % 1.71/1.95 (step @p11723 :rule cong :premises (@p11722) :args (@t363)) % 1.71/1.95 (step @p11724 :rule trans :premises (@p11723 @p11699)) % 1.71/1.95 (step @p11725 :rule refl :args (tptp.in__Cong)) % 1.71/1.95 (step @p11726 :rule cong :premises (@p11725 @p11724) :args (@t364)) % 1.71/1.95 (step @p11727 :rule trans :premises (@p11726 @p11670)) % 1.71/1.95 (step @p11728 :rule eq_resolve :premises (@p65 @p11727)) % 1.71/1.95 (step @p11729 :rule eq_resolve :premises (@p11728 @p11671)) % 1.71/1.95 (step @p11730 :rule cong :premises (@p11729 @p11669) :args (@t7142)) % 1.71/1.95 (step @p11731 :rule bool-eq-true :args (tptp.inCongP)) % 1.71/1.95 (step @p11732 :rule symm :premises (@p11731)) % 1.71/1.95 (step @p11733 :rule quant-unused-vars :args ((= (forall @t7144 true) true))) % 1.71/1.95 (step @p11734 :rule bool-or-taut2 :args (false @t7145 false false)) % 1.71/1.95 (step @p11735 :rule cong :premises (@p11734) :args ((forall @t7144 @t7147))) % 1.71/1.95 (step @p11736 :rule trans :premises (@p11735 @p11733)) % 1.71/1.95 (step @p11737 :rule aci_norm :args ((= (or false @t7146 @t7145) @t7147))) % 1.71/1.95 (step @p11738 :rule refl :args (@t7145)) % 1.71/1.95 (step @p11739 :rule refl :args (@t7146)) % 1.71/1.95 (step @p11740 :rule nary_cong :premises (@p10980 @p11739 @p11738) :args (@t7148)) % 1.71/1.95 (step @p11741 :rule trans :premises (@p11740 @p11737)) % 1.71/1.95 (step @p11742 :rule cong :premises (@p11741) :args ((forall @t7144 @t7148))) % 1.71/1.95 (step @p11743 :rule trans :premises (@p11742 @p11736)) % 1.71/1.95 (step @p11744 :rule quant-var-elim-eq :args ((= (forall @t64 @t7150) @t7148))) % 1.71/1.95 (step @p11745 :rule aci_norm :args ((= @t7151 @t7150))) % 1.71/1.95 (step @p11746 :rule cong :premises (@p11745) :args (@t7152)) % 1.71/1.95 (step @p11747 :rule trans :premises (@p11746 @p11744)) % 1.71/1.95 (step @p11748 :rule cong :premises (@p11747) :args (@t7153)) % 1.71/1.95 (step @p11749 :rule quant-merge-prenex :args ((= @t7153 @t7154))) % 1.71/1.95 (step @p11750 :rule symm :premises (@p11749)) % 1.71/1.95 (step @p11751 :rule quant_var_reordering :args ((= (forall @t7155 @t7151) @t7154))) % 1.71/1.95 (step @p11752 :rule trans :premises (@p11751 @p11750 @p11748)) % 1.71/1.95 (step @p11753 :rule trans :premises (@p11752 @p11743)) % 1.71/1.95 (step @p11754 :rule aci_norm :args ((= @t7157 @t7151))) % 1.71/1.95 (step @p11755 :rule cong :premises (@p11754) :args (@t7158)) % 1.71/1.95 (step @p11756 :rule trans :premises (@p11755 @p11753)) % 1.71/1.95 (step @p11757 :rule quant-merge-prenex :args ((= (forall @t12 @t7160) @t7158))) % 1.71/1.95 (step @p11758 :rule alpha_equiv :args (@t7161 (@list @t7143) @t3833)) % 1.71/1.95 (step @p11759 :rule nary_cong :premises (@p10995 @p11758) :args (@t7162)) % 1.71/1.95 (step @p11760 :rule quant-miniscope-or :args ((= @t7160 @t7162))) % 1.71/1.95 (step @p11761 :rule trans :premises (@p11760 @p11759)) % 1.71/1.95 (step @p11762 :rule symm :premises (@p11761)) % 1.71/1.95 (step @p11763 :rule cong :premises (@p11762) :args ((forall @t12 (or @t445 @t7164)))) % 1.71/1.95 (step @p11764 :rule trans :premises (@p11763 @p11757)) % 1.71/1.95 (step @p11765 :rule trans :premises (@p11764 @p11756)) % 1.71/1.95 (step @p11766 :rule bool-impl-elim :args (@t3 @t7164)) % 1.71/1.95 (step @p11767 :rule cong :premises (@p11766) :args ((forall @t12 (=> @t3 @t7164)))) % 1.71/1.95 (step @p11768 :rule trans :premises (@p11767 @p11765)) % 1.71/1.95 (step @p11769 :rule aci_norm :args ((= (or false @t2175 @t2400) @t7163))) % 1.71/1.95 (step @p11770 :rule nary_cong :premises (@p9031 @p1121 @p8432) :args (@t7165)) % 1.71/1.95 (step @p11771 :rule trans :premises (@p11770 @p11769)) % 1.71/1.95 (step @p11772 :rule cong :premises (@p11771) :args ((forall @t70 @t7165))) % 1.71/1.95 (step @p11773 :rule quant-var-elim-eq :args ((= (forall @t9 @t7166) @t7165))) % 1.71/1.95 (step @p11774 :rule aci_norm :args ((= @t7167 @t7166))) % 1.71/1.95 (step @p11775 :rule cong :premises (@p11774) :args (@t7168)) % 1.71/1.95 (step @p11776 :rule trans :premises (@p11775 @p11773)) % 1.71/1.95 (step @p11777 :rule cong :premises (@p11776) :args (@t7169)) % 1.71/1.95 (step @p11778 :rule quant-merge-prenex :args ((= @t7169 @t7170))) % 1.71/1.95 (step @p11779 :rule symm :premises (@p11778)) % 1.71/1.95 (step @p11780 :rule quant_var_reordering :args ((= (forall @t135 @t7167) @t7170))) % 1.71/1.95 (step @p11781 :rule trans :premises (@p11780 @p11779 @p11777)) % 1.71/1.95 (step @p11782 :rule trans :premises (@p11781 @p11772)) % 1.71/1.95 (step @p11783 :rule nary_cong :premises (@p9056 @p1615 @p3020) :args (@t7171)) % 1.71/1.95 (step @p11784 :rule cong :premises (@p11783) :args ((forall @t135 @t7171))) % 1.71/1.95 (step @p11785 :rule trans :premises (@p11784 @p11782)) % 1.71/1.95 (step @p11786 :rule aci_norm :args ((= (or @t282 (or @t197 @t354)) @t7171))) % 1.71/1.95 (step @p11787 :rule bool-impl-elim :args (@t7 @t354)) % 1.71/1.95 (step @p11788 :rule nary_cong :premises (@p9056 @p11787) :args ((or @t282 @t355))) % 1.71/1.95 (step @p11789 :rule trans :premises (@p11788 @p11786)) % 1.71/1.95 (step @p11790 :rule bool-impl-elim :args (@t129 @t355)) % 1.71/1.95 (step @p11791 :rule trans :premises (@p11790 @p11789)) % 1.71/1.95 (step @p11792 :rule cong :premises (@p11791) :args (@t356)) % 1.71/1.95 (step @p11793 :rule trans :premises (@p11792 @p11785)) % 1.71/1.95 (step @p11794 :rule cong :premises (@p11279 @p11793) :args (@t357)) % 1.71/1.95 (step @p11795 :rule cong :premises (@p11794) :args (@t358)) % 1.71/1.95 (step @p11796 :rule trans :premises (@p11795 @p11768)) % 1.71/1.95 (step @p11797 :rule refl :args (tptp.inCongP)) % 1.71/1.95 (step @p11798 :rule cong :premises (@p11797 @p11796) :args (@t359)) % 1.71/1.95 (step @p11799 :rule trans :premises (@p11798 @p11731)) % 1.71/1.95 (step @p11800 :rule eq_resolve :premises (@p64 @p11799)) % 1.71/1.95 (step @p11801 :rule eq_resolve :premises (@p11800 @p11732)) % 1.71/1.95 (step @p11802 :rule cong :premises (@p11801 @p11730) :args (@t7172)) % 1.71/1.95 (step @p11803 :rule refl :args (@t3355)) % 1.71/1.95 (step @p11804 :rule eq-symm :args (@t3358 @t19)) % 1.71/1.95 (step @p11805 :rule refl :args (@t3115)) % 1.71/1.95 (step @p11806 :rule cong :premises (@p11805 @p11804) :args ((= @t3115 @t7173))) % 1.71/1.95 (step @p11807 :rule eq-symm :args (@t7173 @t3115)) % 1.71/1.95 (step @p11808 :rule trans :premises (@p11807 @p11806)) % 1.71/1.95 (step @p11809 :rule cong :premises (@p11808) :args (@t7174)) % 1.71/1.95 (step @p11810 :rule cong :premises (@p11809) :args (@t7175)) % 1.71/1.95 (step @p11811 :rule nary_cong :premises (@p11810 @p11803) :args (@t7176)) % 1.71/1.95 (step @p11812 :rule cong :premises (@p11811) :args (@t7177)) % 1.71/1.95 (step @p11813 :rule quant-merge-prenex :args ((= (forall @t150 @t7179) @t7177))) % 1.71/1.95 (step @p11814 :rule refl :args (@t3355)) % 1.71/1.95 (step @p11815 :rule alpha_equiv :args (@t7180 (@list @t3358) @t3867)) % 1.71/1.95 (step @p11816 :rule nary_cong :premises (@p11815 @p11814) :args (@t7181)) % 1.71/1.95 (step @p11817 :rule quant-miniscope-or :args ((= @t7179 @t7181))) % 1.71/1.95 (step @p11818 :rule trans :premises (@p11817 @p11816)) % 1.71/1.95 (step @p11819 :rule symm :premises (@p11818)) % 1.71/1.95 (step @p11820 :rule cong :premises (@p11819) :args ((forall @t150 (or @t3409 @t3355)))) % 1.71/1.95 (step @p11821 :rule trans :premises (@p11820 @p11813)) % 1.71/1.95 (step @p11822 :rule trans :premises (@p11821 @p11812)) % 1.71/1.95 (step @p11823 :rule bool-double-not-elim :args (@t3409)) % 1.71/1.95 (step @p11824 :rule nary_cong :premises (@p11823 @p11814) :args ((or (not @t3410) @t3355))) % 1.71/1.95 (step @p11825 :rule bool-impl-elim :args (@t3410 @t3355)) % 1.71/1.95 (step @p11826 :rule trans :premises (@p11825 @p11824)) % 1.71/1.95 (step @p11827 :rule cong :premises (@p11826) :args ((forall @t150 (=> @t3410 @t3355)))) % 1.71/1.95 (step @p11828 :rule trans :premises (@p11827 @p11822)) % 1.71/1.95 (step @p11829 :rule exists-elim :args ((= (exists @t9 @t3408) @t3410))) % 1.71/1.95 (step @p11830 :rule eq-symm :args (@t3115 @t129)) % 1.71/1.95 (step @p11831 :rule cong :premises (@p11830) :args ((forall @t70 (= @t3115 @t129)))) % 1.71/1.95 (step @p11832 :rule cong :premises (@p1181 @p1090) :args (@t7182)) % 1.71/1.95 (step @p11833 :rule cong :premises (@p11832) :args ((forall @t70 @t7182))) % 1.71/1.95 (step @p11834 :rule trans :premises (@p11833 @p11831)) % 1.71/1.95 (step @p11835 :rule cong :premises (@p9338 @p9337) :args (@t263)) % 1.71/1.95 (step @p11836 :rule cong :premises (@p11835) :args (@t264)) % 1.71/1.95 (step @p11837 :rule trans :premises (@p11836 @p11834)) % 1.71/1.95 (step @p11838 :rule cong :premises (@p11837) :args (@t265)) % 1.71/1.95 (step @p11839 :rule trans :premises (@p11838 @p11829)) % 1.71/1.95 (step @p11840 :rule cong :premises (@p11839 @p11409) :args (@t7183)) % 1.71/1.95 (step @p11841 :rule cong :premises (@p11840) :args (@t7184)) % 1.71/1.95 (step @p11842 :rule trans :premises (@p11841 @p11828)) % 1.71/1.95 (step @p11843 :rule refl :args (tptp.exuI2)) % 1.71/1.95 (step @p11844 :rule cong :premises (@p11843 @p11842) :args ((= tptp.exuI2 @t7184))) % 1.71/1.95 (step @p11845 :rule refl :args (@t265)) % 1.71/1.95 (step @p11846 :rule cong :premises (@p11845 @p11440) :args (@t351)) % 1.71/1.95 (step @p11847 :rule cong :premises (@p11846) :args (@t352)) % 1.71/1.96 (step @p11848 :rule cong :premises (@p11843 @p11847) :args (@t353)) % 1.71/1.96 (step @p11849 :rule trans :premises (@p11848 @p11844)) % 1.71/1.96 (step @p11850 :rule eq_resolve :premises (@p63 @p11849)) % 1.71/1.96 (step @p11851 :rule cong :premises (@p11850 @p11802) :args (@t7185)) % 1.71/1.96 (step @p11852 :rule quant-merge-prenex :args ((= (forall @t150 @t7187) @t3366))) % 1.71/1.96 (step @p11853 :rule refl :args (@t3362)) % 1.71/1.96 (step @p11854 :rule alpha_equiv :args (@t7188 (@list @t3363) @t3867)) % 1.71/1.96 (step @p11855 :rule nary_cong :premises (@p11854 @p11853 @p11814) :args (@t7189)) % 1.71/1.96 (step @p11856 :rule quant-miniscope-or :args ((= @t7187 @t7189))) % 1.71/1.96 (step @p11857 :rule trans :premises (@p11856 @p11855)) % 1.71/1.96 (step @p11858 :rule symm :premises (@p11857)) % 1.71/1.96 (step @p11859 :rule cong :premises (@p11858) :args ((forall @t150 @t7190))) % 1.71/1.96 (step @p11860 :rule trans :premises (@p11859 @p11852)) % 1.71/1.96 (step @p11861 :rule aci_norm :args ((= (or @t3473 (or @t3362 @t3355)) @t7190))) % 1.71/1.96 (step @p11862 :rule bool-impl-elim :args (@t3361 @t3355)) % 1.71/1.96 (step @p11863 :rule refl :args (@t3473)) % 1.71/1.96 (step @p11864 :rule nary_cong :premises (@p11863 @p11862) :args ((or @t3473 @t7191))) % 1.71/1.96 (step @p11865 :rule trans :premises (@p11864 @p11861)) % 1.71/1.96 (step @p11866 :rule refl :args (@t7191)) % 1.71/1.96 (step @p11867 :rule bool-double-not-elim :args (@t3473)) % 1.71/1.96 (step @p11868 :rule nary_cong :premises (@p11867 @p11866) :args ((or (not @t3474) @t7191))) % 1.71/1.96 (step @p11869 :rule bool-impl-elim :args (@t3474 @t7191)) % 1.71/1.96 (step @p11870 :rule trans :premises (@p11869 @p11868)) % 1.71/1.96 (step @p11871 :rule trans :premises (@p11870 @p11865)) % 1.71/1.96 (step @p11872 :rule cong :premises (@p11871) :args ((forall @t150 (=> @t3474 @t7191)))) % 1.71/1.96 (step @p11873 :rule trans :premises (@p11872 @p11860)) % 1.71/1.96 (step @p11874 :rule cong :premises (@p11480 @p11409) :args (@t7192)) % 1.71/1.96 (step @p11875 :rule cong :premises (@p1168) :args (@t7193)) % 1.71/1.96 (step @p11876 :rule cong :premises (@p11875) :args (@t7194)) % 1.71/1.96 (step @p11877 :rule exists-elim :args ((= @t186 @t7194))) % 1.71/1.96 (step @p11878 :rule trans :premises (@p11877 @p11876)) % 1.71/1.96 (step @p11879 :rule cong :premises (@p11878 @p11874) :args (@t7195)) % 1.71/1.96 (step @p11880 :rule cong :premises (@p11879) :args (@t7196)) % 1.71/1.96 (step @p11881 :rule trans :premises (@p11880 @p11873)) % 1.71/1.96 (step @p11882 :rule refl :args (tptp.exuI3)) % 1.71/1.96 (step @p11883 :rule cong :premises (@p11882 @p11881) :args ((= tptp.exuI3 @t7196))) % 1.71/1.96 (step @p11884 :rule cong :premises (@p11486 @p11440) :args (@t347)) % 1.71/1.96 (step @p11885 :rule refl :args (@t186)) % 1.71/1.96 (step @p11886 :rule cong :premises (@p11885 @p11884) :args (@t348)) % 1.71/1.96 (step @p11887 :rule cong :premises (@p11886) :args (@t349)) % 1.71/1.96 (step @p11888 :rule cong :premises (@p11882 @p11887) :args (@t350)) % 1.71/1.96 (step @p11889 :rule trans :premises (@p11888 @p11883)) % 1.71/1.96 (step @p11890 :rule eq_resolve :premises (@p62 @p11889)) % 1.71/1.96 (step @p11891 :rule cong :premises (@p11890 @p11851) :args (@t7197)) % 1.71/1.96 (step @p11892 :rule bool-eq-true :args (tptp.exuI1)) % 1.71/1.96 (step @p11893 :rule symm :premises (@p11892)) % 1.71/1.96 (step @p11894 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 1.71/1.96 (step @p11895 :rule bool-or-taut :args (false @t3354 false false)) % 1.71/1.96 (step @p11896 :rule nary_cong :premises (@p11362 @p11814) :args ((or @t7008 @t3355))) % 1.71/1.96 (step @p11897 :rule bool-impl-elim :args (@t3355 @t3355)) % 1.71/1.96 (step @p11898 :rule trans :premises (@p11897 @p11896)) % 1.71/1.96 (step @p11899 :rule trans :premises (@p11898 @p11895)) % 1.71/1.96 (step @p11900 :rule cong :premises (@p11899) :args ((forall @t150 (=> @t3355 @t3355)))) % 1.71/1.96 (step @p11901 :rule trans :premises (@p11900 @p11894)) % 1.71/1.96 (step @p11902 :rule cong :premises (@p1191 @p11409) :args (@t7198)) % 1.71/1.96 (step @p11903 :rule cong :premises (@p11902) :args (@t7199)) % 1.71/1.96 (step @p11904 :rule trans :premises (@p11903 @p11901)) % 1.71/1.96 (step @p11905 :rule refl :args (tptp.exuI1)) % 1.71/1.96 (step @p11906 :rule cong :premises (@p11905 @p11904) :args ((= tptp.exuI1 @t7199))) % 1.71/1.96 (step @p11907 :rule trans :premises (@p11906 @p11892)) % 1.71/1.96 (step @p11908 :rule refl :args (@t169)) % 1.71/1.96 (step @p11909 :rule cong :premises (@p11908 @p11440) :args (@t342)) % 1.71/1.96 (step @p11910 :rule cong :premises (@p11909) :args (@t343)) % 1.71/1.96 (step @p11911 :rule cong :premises (@p11905 @p11910) :args (@t344)) % 1.71/1.96 (step @p11912 :rule trans :premises (@p11911 @p11907)) % 1.71/1.96 (step @p11913 :rule eq_resolve :premises (@p61 @p11912)) % 1.71/1.96 (step @p11914 :rule eq_resolve :premises (@p11913 @p11893)) % 1.71/1.96 (step @p11915 :rule cong :premises (@p11914 @p11891) :args (@t7200)) % 1.71/1.96 (step @p11916 :rule bool-eq-true :args (tptp.notdallE)) % 1.71/1.96 (step @p11917 :rule symm :premises (@p11916)) % 1.71/1.96 (step @p11918 :rule bool-eq-true :args (tptp.notdallE)) % 1.71/1.96 (step @p11919 :rule eq-symm :args (true tptp.notdallE)) % 1.71/1.96 (step @p11920 :rule trans :premises (@p11919 @p11918)) % 1.71/1.96 (step @p11921 :rule refl :args (tptp.notdallE)) % 1.71/1.96 (step @p11922 :rule quant-unused-vars :args ((= (forall @t311 true) true))) % 1.71/1.96 (step @p11923 :rule bool-or-taut :args (false @t7201 false false)) % 1.71/1.96 (step @p11924 :rule refl :args (@t7202)) % 1.71/1.96 (step @p11925 :rule bool-double-not-elim :args (@t7201)) % 1.71/1.96 (step @p11926 :rule nary_cong :premises (@p11925 @p11924) :args ((or (not @t7202) @t7202))) % 1.71/1.96 (step @p11927 :rule bool-impl-elim :args (@t7202 @t7202)) % 1.71/1.96 (step @p11928 :rule trans :premises (@p11927 @p11926)) % 1.71/1.96 (step @p11929 :rule trans :premises (@p11928 @p11923)) % 1.71/1.96 (step @p11930 :rule cong :premises (@p11929) :args ((forall @t311 (=> @t7202 @t7202)))) % 1.71/1.96 (step @p11931 :rule trans :premises (@p11930 @p11922)) % 1.71/1.96 (step @p11932 :rule nary_cong :premises (@p1615 @p1167) :args (@t7203)) % 1.71/1.96 (step @p11933 :rule cong :premises (@p11932) :args ((forall @t9 @t7203))) % 1.71/1.96 (step @p11934 :rule bool-double-not-elim :args (@t144)) % 1.71/1.96 (step @p11935 :rule nary_cong :premises (@p4095 @p11934) :args ((or @t197 (not @t317)))) % 1.71/1.96 (step @p11936 :rule bool-and-de-morgan :args (@t7 @t317 true)) % 1.71/1.96 (step @p11937 :rule trans :premises (@p11936 @p11935)) % 1.71/1.96 (step @p11938 :rule cong :premises (@p11937) :args (@t7204)) % 1.71/1.96 (step @p11939 :rule trans :premises (@p11938 @p11933)) % 1.71/1.96 (step @p11940 :rule cong :premises (@p11939) :args (@t7205)) % 1.71/1.96 (step @p11941 :rule exists-elim :args ((= @t319 @t7205))) % 1.71/1.96 (step @p11942 :rule trans :premises (@p11941 @p11940)) % 1.71/1.96 (step @p11943 :rule bool-impl-elim :args (@t7 @t144)) % 1.71/1.96 (step @p11944 :rule cong :premises (@p11943) :args (@t320)) % 1.71/1.96 (step @p11945 :rule trans :premises (@p11944 @p11933)) % 1.71/1.96 (step @p11946 :rule cong :premises (@p11945) :args (@t321)) % 1.71/1.96 (step @p11947 :rule cong :premises (@p11946 @p11942) :args (@t322)) % 1.71/1.96 (step @p11948 :rule cong :premises (@p11947) :args (@t323)) % 1.71/1.96 (step @p11949 :rule trans :premises (@p11948 @p11931)) % 1.71/1.96 (step @p11950 :rule cong :premises (@p11949 @p11921) :args ((= @t323 tptp.notdallE))) % 1.71/1.96 (step @p11951 :rule trans :premises (@p11950 @p11920)) % 1.71/1.96 (step @p11952 :rule eq-symm :args (tptp.notdallE @t323)) % 1.71/1.96 (step @p11953 :rule trans :premises (@p11952 @p11951)) % 1.71/1.96 (step @p11954 :rule eq_resolve :premises (@p60 @p11953)) % 1.71/1.96 (step @p11955 :rule eq_resolve :premises (@p11954 @p11917)) % 1.71/1.96 (step @p11956 :rule cong :premises (@p11955 @p11915) :args (@t7206)) % 1.71/1.96 (step @p11957 :rule bool-eq-true :args (tptp.notdexE)) % 1.71/1.96 (step @p11958 :rule symm :premises (@p11957)) % 1.71/1.96 (step @p11959 :rule bool-eq-true :args (tptp.notdexE)) % 1.71/1.96 (step @p11960 :rule eq-symm :args (true tptp.notdexE)) % 1.71/1.96 (step @p11961 :rule trans :premises (@p11960 @p11959)) % 1.71/1.96 (step @p11962 :rule refl :args (tptp.notdexE)) % 1.71/1.96 (step @p11963 :rule bool-or-taut2 :args (false @t3120 false false)) % 1.71/1.96 (step @p11964 :rule bool-impl-elim :args (@t3120 @t3120)) % 1.71/1.96 (step @p11965 :rule trans :premises (@p11964 @p11963)) % 1.71/1.96 (step @p11966 :rule cong :premises (@p11965) :args ((forall @t311 (=> @t3120 @t3120)))) % 1.71/1.96 (step @p11967 :rule trans :premises (@p11966 @p11922)) % 1.71/1.96 (step @p11968 :rule bool-impl-elim :args (@t7 @t317)) % 1.71/1.96 (step @p11969 :rule cong :premises (@p11968) :args (@t326)) % 1.71/1.96 (step @p11970 :rule trans :premises (@p11969 @p9279)) % 1.71/1.96 (step @p11971 :rule bool-double-not-elim :args (@t3120)) % 1.71/1.96 (step @p11972 :rule cong :premises (@p9285) :args (@t325)) % 1.71/1.96 (step @p11973 :rule trans :premises (@p11972 @p11971)) % 1.71/1.96 (step @p11974 :rule cong :premises (@p11973 @p11970) :args (@t330)) % 1.71/1.96 (step @p11975 :rule cong :premises (@p11974) :args (@t331)) % 1.71/1.96 (step @p11976 :rule trans :premises (@p11975 @p11967)) % 1.71/1.96 (step @p11977 :rule cong :premises (@p11976 @p11962) :args ((= @t331 tptp.notdexE))) % 1.71/1.96 (step @p11978 :rule trans :premises (@p11977 @p11961)) % 1.71/1.96 (step @p11979 :rule eq-symm :args (tptp.notdexE @t331)) % 1.71/1.96 (step @p11980 :rule trans :premises (@p11979 @p11978)) % 1.71/1.96 (step @p11981 :rule eq_resolve :premises (@p59 @p11980)) % 1.71/1.96 (step @p11982 :rule eq_resolve :premises (@p11981 @p11958)) % 1.71/1.96 (step @p11983 :rule cong :premises (@p11982 @p11956) :args (@t7207)) % 1.71/1.96 (step @p11984 :rule aci_norm :args ((= (or false @t3369) @t3369))) % 1.71/1.96 (step @p11985 :rule nary_cong :premises (@p928 @p761) :args (@t7208)) % 1.71/1.96 (step @p11986 :rule trans :premises (@p11985 @p11984)) % 1.71/1.96 (step @p11987 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5867 @t1064 @t7210)) @t7208))) % 1.71/1.96 (step @p11988 :rule refl :args (@t7210)) % 1.71/1.96 (step @p11989 :rule nary_cong :premises (@p6532 @p1684 @p11988) :args (@t7211)) % 1.71/1.96 (step @p11990 :rule aci_norm :args ((= @t7212 @t7211))) % 1.71/1.96 (step @p11991 :rule trans :premises (@p11990 @p11989)) % 1.71/1.96 (step @p11992 :rule cong :premises (@p11991) :args ((forall @t179 @t7212))) % 1.71/1.96 (step @p11993 :rule trans :premises (@p11992 @p11987)) % 1.71/1.96 (step @p11994 :rule trans :premises (@p11993 @p11986)) % 1.71/1.96 (step @p11995 :rule refl :args ((tptp.set2prop @t174))) % 1.71/1.96 (step @p11996 :rule refl :args (@t7209)) % 1.71/1.96 (step @p11997 :rule cong :premises (@p11996) :args (@t7210)) % 1.71/1.96 (step @p11998 :rule trans :premises (@p11997 @p11995)) % 1.71/1.96 (step @p11999 :rule refl :args (tptp.set2prop)) % 1.71/1.96 (step @p12000 :rule ho_cong :premises (@p11999 @p11996)) % 1.71/1.96 (step @p12001 :rule cong :premises (@p12000 @p11998) :args ((= (_ tptp.set2prop @t7209) @t7210))) % 1.71/1.96 (step @p12002 :rule symm :premises (@p12001)) % 1.71/1.96 (step @p12003 :rule refl :args (@t339)) % 1.71/1.96 (step @p12004 :rule eq_resolve :premises (@p12003 @p12002)) % 1.71/1.96 (step @p12005 :rule refl :args (@t174)) % 1.71/1.96 (step @p12006 :rule cong :premises (@p12005 @p11996) :args ((= @t174 @t7209))) % 1.71/1.96 (step @p12007 :rule symm :premises (@p12006)) % 1.71/1.96 (step @p12008 :rule eq_resolve :premises (@p12005 @p12007)) % 1.71/1.96 (step @p12009 :rule ho_cong :premises (@p11999 @p12008)) % 1.71/1.96 (step @p12010 :rule trans :premises (@p12009 @p12004)) % 1.71/1.96 (step @p12011 :rule nary_cong :premises (@p1684 @p12010) :args (@t7213)) % 1.71/1.96 (step @p12012 :rule cong :premises (@p12011) :args ((forall @t179 @t7213))) % 1.71/1.96 (step @p12013 :rule trans :premises (@p12012 @p11994)) % 1.71/1.96 (step @p12014 :rule bool-impl-elim :args (@t173 @t339)) % 1.71/1.96 (step @p12015 :rule cong :premises (@p12014) :args (@t340)) % 1.71/1.96 (step @p12016 :rule trans :premises (@p12015 @p12013)) % 1.71/1.96 (step @p12017 :rule refl :args (tptp.prop2set2propI)) % 1.71/1.96 (step @p12018 :rule cong :premises (@p12017 @p12016) :args (@t341)) % 1.71/1.96 (step @p12019 :rule eq_resolve :premises (@p58 @p12018)) % 1.71/1.96 (step @p12020 :rule cong :premises (@p12019 @p11983) :args (@t7214)) % 1.71/1.96 (step @p12021 :rule aci_norm :args ((= (or false @t3371) @t3371))) % 1.71/1.96 (step @p12022 :rule nary_cong :premises (@p928 @p763) :args (@t7215)) % 1.71/1.96 (step @p12023 :rule trans :premises (@p12022 @p12021)) % 1.71/1.96 (step @p12024 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t5867 @t1064 @t7216)) @t7215))) % 1.71/1.96 (step @p12025 :rule refl :args (@t7216)) % 1.71/1.96 (step @p12026 :rule nary_cong :premises (@p6532 @p1684 @p12025) :args (@t7217)) % 1.71/1.96 (step @p12027 :rule aci_norm :args ((= @t7218 @t7217))) % 1.71/1.96 (step @p12028 :rule trans :premises (@p12027 @p12026)) % 1.71/1.96 (step @p12029 :rule cong :premises (@p12028) :args ((forall @t179 @t7218))) % 1.71/1.96 (step @p12030 :rule trans :premises (@p12029 @p12024)) % 1.71/1.96 (step @p12031 :rule trans :premises (@p12030 @p12023)) % 1.71/1.96 (step @p12032 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 1.71/1.96 (step @p12033 :rule cong :premises (@p377 @p11996) :args (@t7216)) % 1.71/1.96 (step @p12034 :rule trans :premises (@p12033 @p12032)) % 1.71/1.96 (step @p12035 :rule ho_cong :premises (@p380 @p11996)) % 1.71/1.96 (step @p12036 :rule cong :premises (@p12035 @p12034) :args ((= (_ @t49 @t7209) @t7216))) % 1.71/1.96 (step @p12037 :rule symm :premises (@p12036)) % 1.71/1.96 (step @p12038 :rule refl :args (@t336)) % 1.71/1.96 (step @p12039 :rule eq_resolve :premises (@p12038 @p12037)) % 1.71/1.96 (step @p12040 :rule ho_cong :premises (@p380 @p12008)) % 1.71/1.96 (step @p12041 :rule trans :premises (@p12040 @p12039)) % 1.71/1.96 (step @p12042 :rule nary_cong :premises (@p1684 @p12041) :args (@t7219)) % 1.71/1.96 (step @p12043 :rule cong :premises (@p12042) :args ((forall @t179 @t7219))) % 1.71/1.96 (step @p12044 :rule trans :premises (@p12043 @p12031)) % 1.71/1.96 (step @p12045 :rule bool-impl-elim :args (@t173 @t336)) % 1.71/1.96 (step @p12046 :rule cong :premises (@p12045) :args (@t337)) % 1.71/1.96 (step @p12047 :rule trans :premises (@p12046 @p12044)) % 1.71/1.96 (step @p12048 :rule refl :args (tptp.prop2setI)) % 1.71/1.96 (step @p12049 :rule cong :premises (@p12048 @p12047) :args (@t338)) % 1.71/1.96 (step @p12050 :rule eq_resolve :premises (@p57 @p12049)) % 1.71/1.96 (step @p12051 :rule cong :premises (@p12050 @p12020) :args (@t7220)) % 1.71/1.96 (step @p12052 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 1.71/1.96 (step @p12053 :rule symm :premises (@p12052)) % 1.71/1.96 (step @p12054 :rule cong :premises (@p11942 @p11946) :args (@t333)) % 1.71/1.96 (step @p12055 :rule cong :premises (@p12054) :args (@t334)) % 1.71/1.96 (step @p12056 :rule trans :premises (@p12055 @p11931)) % 1.71/1.96 (step @p12057 :rule refl :args (tptp.quantDeMorgan4)) % 1.71/1.96 (step @p12058 :rule cong :premises (@p12057 @p12056) :args (@t335)) % 1.71/1.96 (step @p12059 :rule trans :premises (@p12058 @p12052)) % 1.71/1.96 (step @p12060 :rule eq_resolve :premises (@p56 @p12059)) % 1.71/1.96 (step @p12061 :rule eq_resolve :premises (@p12060 @p12053)) % 1.71/1.96 (step @p12062 :rule cong :premises (@p12061 @p12051) :args (@t7221)) % 1.71/1.96 (step @p12063 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 1.71/1.96 (step @p12064 :rule symm :premises (@p12063)) % 1.71/1.96 (step @p12065 :rule refl :args (tptp.quantDeMorgan3)) % 1.71/1.96 (step @p12066 :rule cong :premises (@p12065 @p11976) :args (@t332)) % 1.71/1.96 (step @p12067 :rule trans :premises (@p12066 @p12063)) % 1.71/1.96 (step @p12068 :rule eq_resolve :premises (@p55 @p12067)) % 1.71/1.96 (step @p12069 :rule eq_resolve :premises (@p12068 @p12064)) % 1.71/1.96 (step @p12070 :rule cong :premises (@p12069 @p12062) :args (@t7222)) % 1.71/1.96 (step @p12071 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 1.71/1.96 (step @p12072 :rule symm :premises (@p12071)) % 1.71/1.96 (step @p12073 :rule cong :premises (@p11970 @p11973) :args (@t327)) % 1.71/1.96 (step @p12074 :rule cong :premises (@p12073) :args (@t328)) % 1.71/1.96 (step @p12075 :rule trans :premises (@p12074 @p11967)) % 1.71/1.96 (step @p12076 :rule refl :args (tptp.quantDeMorgan2)) % 1.71/1.96 (step @p12077 :rule cong :premises (@p12076 @p12075) :args (@t329)) % 1.71/1.96 (step @p12078 :rule trans :premises (@p12077 @p12071)) % 1.71/1.96 (step @p12079 :rule eq_resolve :premises (@p54 @p12078)) % 1.71/1.96 (step @p12080 :rule eq_resolve :premises (@p12079 @p12072)) % 1.71/1.96 (step @p12081 :rule cong :premises (@p12080 @p12070) :args (@t7223)) % 1.71/1.96 (step @p12082 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 1.71/1.96 (step @p12083 :rule symm :premises (@p12082)) % 1.71/1.96 (step @p12084 :rule refl :args (tptp.quantDeMorgan1)) % 1.71/1.96 (step @p12085 :rule cong :premises (@p12084 @p11949) :args (@t324)) % 1.71/1.96 (step @p12086 :rule trans :premises (@p12085 @p12082)) % 1.71/1.96 (step @p12087 :rule eq_resolve :premises (@p53 @p12086)) % 1.71/1.96 (step @p12088 :rule eq_resolve :premises (@p12087 @p12083)) % 1.71/1.96 (step @p12089 :rule cong :premises (@p12088 @p12081) :args (@t7224)) % 1.71/1.96 (step @p12090 :rule refl :args (@t3373)) % 1.71/1.96 (step @p12091 :rule refl :args (@t15)) % 1.71/1.96 (step @p12092 :rule cong :premises (@p12091 @p12090) :args ((= @t15 @t3373))) % 1.71/1.96 (step @p12093 :rule symm :premises (@p12092)) % 1.71/1.96 (step @p12094 :rule eq_resolve :premises (@p12091 @p12093)) % 1.71/1.96 (step @p12095 :rule cong :premises (@p12094) :args (@t16)) % 1.71/1.96 (step @p12096 :rule nary_cong :premises (@p12095 @p1167) :args (@t7225)) % 1.71/1.96 (step @p12097 :rule cong :premises (@p12096) :args ((forall @t314 @t7225))) % 1.71/1.96 (step @p12098 :rule bool-impl-elim :args (@t15 @t144)) % 1.71/1.96 (step @p12099 :rule cong :premises (@p12098) :args (@t315)) % 1.71/1.96 (step @p12100 :rule trans :premises (@p12099 @p12097)) % 1.71/1.96 (step @p12101 :rule refl :args (tptp.vacuousDall)) % 1.71/1.96 (step @p12102 :rule cong :premises (@p12101 @p12100) :args (@t316)) % 1.71/1.96 (step @p12103 :rule eq_resolve :premises (@p52 @p12102)) % 1.71/1.96 (step @p12104 :rule cong :premises (@p12103 @p12089) :args (@t7226)) % 1.71/1.96 (step @p12105 :rule aci_norm :args ((= @t7228 @t3381))) % 1.71/1.96 (step @p12106 :rule cong :premises (@p12105) :args (@t7229)) % 1.71/1.96 (step @p12107 :rule quant-merge-prenex :args ((= (forall @t311 @t7231) @t7229))) % 1.71/1.96 (step @p12108 :rule refl :args (@t3380)) % 1.71/1.96 (step @p12109 :rule alpha_equiv :args (@t7232 (@list @t3377) @t3867)) % 1.71/1.96 (step @p12110 :rule nary_cong :premises (@p12109 @p12108) :args (@t7233)) % 1.71/1.96 (step @p12111 :rule quant-miniscope-or :args ((= @t7231 @t7233))) % 1.71/1.96 (step @p12112 :rule trans :premises (@p12111 @p12110)) % 1.71/1.96 (step @p12113 :rule symm :premises (@p12112)) % 1.71/1.96 (step @p12114 :rule cong :premises (@p12113) :args ((forall @t311 (or @t3120 @t3380)))) % 1.71/1.96 (step @p12115 :rule trans :premises (@p12114 @p12107)) % 1.71/1.96 (step @p12116 :rule trans :premises (@p12115 @p12106)) % 1.71/1.96 (step @p12117 :rule cong :premises (@p330 @p9381) :args (@t7234)) % 1.71/1.96 (step @p12118 :rule cong :premises (@p12117) :args (@t7235)) % 1.71/1.96 (step @p12119 :rule nary_cong :premises (@p9258 @p12118) :args (@t7236)) % 1.71/1.96 (step @p12120 :rule cong :premises (@p12119) :args ((forall @t311 @t7236))) % 1.71/1.96 (step @p12121 :rule trans :premises (@p12120 @p12116)) % 1.71/1.96 (step @p12122 :rule cong :premises (@p377 @p9404) :args (@t7237)) % 1.71/1.96 (step @p12123 :rule cong :premises (@p12122) :args (@t7238)) % 1.71/1.96 (step @p12124 :rule nary_cong :premises (@p9263 @p12123) :args (@t7239)) % 1.71/1.96 (step @p12125 :rule cong :premises (@p12124) :args ((forall @t311 @t7239))) % 1.71/1.96 (step @p12126 :rule trans :premises (@p12125 @p12121)) % 1.71/1.96 (step @p12127 :rule refl :args (@t7238)) % 1.71/1.96 (step @p12128 :rule nary_cong :premises (@p9268 @p12127) :args ((or @t6621 @t7238))) % 1.71/1.96 (step @p12129 :rule bool-impl-elim :args (@t3121 @t7238)) % 1.71/1.96 (step @p12130 :rule trans :premises (@p12129 @p12128)) % 1.71/1.96 (step @p12131 :rule cong :premises (@p12130) :args ((forall @t311 (=> @t3121 @t7238)))) % 1.71/1.96 (step @p12132 :rule trans :premises (@p12131 @p12126)) % 1.71/1.96 (step @p12133 :rule eq-symm :args (@t306 tptp.emptyset)) % 1.71/1.96 (step @p12134 :rule cong :premises (@p12133) :args ((not @t307))) % 1.71/1.96 (step @p12135 :rule bool-impl-false1 :args (@t307)) % 1.71/1.96 (step @p12136 :rule trans :premises (@p12135 @p12134)) % 1.71/1.96 (step @p12137 :rule cong :premises (@p9285 @p12136) :args (@t310)) % 1.71/1.96 (step @p12138 :rule cong :premises (@p12137) :args (@t312)) % 1.71/1.96 (step @p12139 :rule trans :premises (@p12138 @p12132)) % 1.71/1.96 (step @p12140 :rule refl :args (tptp.emptyE1)) % 1.71/1.96 (step @p12141 :rule cong :premises (@p12140 @p12139) :args (@t313)) % 1.71/1.96 (step @p12142 :rule eq_resolve :premises (@p51 @p12141)) % 1.71/1.96 (step @p12143 :rule cong :premises (@p12142 @p12104) :args (@t7240)) % 1.71/1.96 (step @p12144 :rule refl :args (tptp.upairsetIR)) % 1.71/1.96 (step @p12145 :rule cong :premises (@p12144 @p10037) :args (@t305)) % 1.71/1.96 (step @p12146 :rule eq_resolve :premises (@p50 @p12145)) % 1.71/1.96 (step @p12147 :rule cong :premises (@p12146 @p12143) :args (@t7241)) % 1.71/1.96 (step @p12148 :rule refl :args ((tptp.in @t4 @t293))) % 1.71/1.96 (step @p12149 :rule cong :premises (@p976 @p6410) :args (@t3386)) % 1.71/1.96 (step @p12150 :rule trans :premises (@p12149 @p12148)) % 1.71/1.96 (step @p12151 :rule ho_cong :premises (@p979 @p6410)) % 1.71/1.96 (step @p12152 :rule cong :premises (@p12151 @p12150) :args ((= (_ @t5 @t3067) @t3386))) % 1.71/1.96 (step @p12153 :rule symm :premises (@p12152)) % 1.71/1.96 (step @p12154 :rule refl :args (@t300)) % 1.71/1.96 (step @p12155 :rule eq_resolve :premises (@p12154 @p12153)) % 1.71/1.96 (step @p12156 :rule ho_cong :premises (@p979 @p6431)) % 1.71/1.96 (step @p12157 :rule trans :premises (@p12156 @p12155)) % 1.71/1.96 (step @p12158 :rule cong :premises (@p12157) :args (@t301)) % 1.71/1.96 (step @p12159 :rule refl :args (tptp.upairsetIL)) % 1.71/1.96 (step @p12160 :rule cong :premises (@p12159 @p12158) :args (@t302)) % 1.71/1.96 (step @p12161 :rule eq_resolve :premises (@p49 @p12160)) % 1.71/1.96 (step @p12162 :rule cong :premises (@p12161 @p12147) :args (@t7242)) % 1.71/1.96 (step @p12163 :rule refl :args (tptp.upairsetE)) % 1.71/1.96 (step @p12164 :rule cong :premises (@p12163 @p9888) :args (@t299)) % 1.71/1.96 (step @p12165 :rule eq_resolve :premises (@p48 @p12164)) % 1.71/1.96 (step @p12166 :rule cong :premises (@p12165 @p12162) :args (@t7243)) % 1.71/1.96 (step @p12167 :rule refl :args ((tptp.in @t19 @t279))) % 1.71/1.96 (step @p12168 :rule cong :premises (@p1104 @p6815) :args (@t3390)) % 1.71/1.96 (step @p12169 :rule trans :premises (@p12168 @p12167)) % 1.71/1.96 (step @p12170 :rule ho_cong :premises (@p7105 @p6815)) % 1.71/1.96 (step @p12171 :rule cong :premises (@p12170 @p12169) :args ((= (_ @t20 @t2817) @t3390))) % 1.71/1.96 (step @p12172 :rule symm :premises (@p12171)) % 1.71/1.96 (step @p12173 :rule refl :args (@t280)) % 1.71/1.96 (step @p12174 :rule eq_resolve :premises (@p12173 @p12172)) % 1.71/1.96 (step @p12175 :rule ho_cong :premises (@p7105 @p6819)) % 1.71/1.96 (step @p12176 :rule trans :premises (@p12175 @p12174)) % 1.71/1.96 (step @p12177 :rule refl :args ((tptp.in @t4 @t275))) % 1.71/1.96 (step @p12178 :rule cong :premises (@p976 @p6408) :args (@t3391)) % 1.71/1.96 (step @p12179 :rule trans :premises (@p12178 @p12177)) % 1.71/1.96 (step @p12180 :rule ho_cong :premises (@p979 @p6408)) % 1.71/1.96 (step @p12181 :rule cong :premises (@p12180 @p12179) :args ((= (_ @t5 @t3066) @t3391))) % 1.71/1.96 (step @p12182 :rule symm :premises (@p12181)) % 1.71/1.96 (step @p12183 :rule refl :args (@t276)) % 1.71/1.96 (step @p12184 :rule eq_resolve :premises (@p12183 @p12182)) % 1.71/1.96 (step @p12185 :rule ho_cong :premises (@p979 @p6429)) % 1.71/1.96 (step @p12186 :rule trans :premises (@p12185 @p12184)) % 1.71/1.96 (step @p12187 :rule cong :premises (@p12186) :args (@t7244)) % 1.71/1.96 (step @p12188 :rule nary_cong :premises (@p12187 @p12176) :args (@t7245)) % 1.71/1.96 (step @p12189 :rule cong :premises (@p12188) :args ((forall @t135 @t7245))) % 1.71/1.96 (step @p12190 :rule bool-impl-elim :args (@t276 @t280)) % 1.71/1.96 (step @p12191 :rule cong :premises (@p12190) :args (@t287)) % 1.71/1.96 (step @p12192 :rule trans :premises (@p12191 @p12189)) % 1.71/1.96 (step @p12193 :rule refl :args (tptp.singletonsswitch)) % 1.71/1.96 (step @p12194 :rule cong :premises (@p12193 @p12192) :args (@t288)) % 1.71/1.96 (step @p12195 :rule eq_resolve :premises (@p47 @p12194)) % 1.71/1.96 (step @p12196 :rule cong :premises (@p12195 @p12166) :args (@t7246)) % 1.71/1.96 (step @p12197 :rule aci_norm :args ((= (or false @t3395) @t3395))) % 1.71/1.96 (step @p12198 :rule refl :args (@t3395)) % 1.71/1.96 (step @p12199 :rule nary_cong :premises (@p9031 @p12198) :args (@t7247)) % 1.71/1.96 (step @p12200 :rule trans :premises (@p12199 @p12197)) % 1.71/1.96 (step @p12201 :rule cong :premises (@p12200) :args ((forall @t70 @t7247))) % 1.71/1.96 (step @p12202 :rule quant-var-elim-eq :args ((= (forall @t9 @t7248) @t7247))) % 1.71/1.96 (step @p12203 :rule aci_norm :args ((= @t7249 @t7248))) % 1.71/1.96 (step @p12204 :rule cong :premises (@p12203) :args (@t7250)) % 1.71/1.96 (step @p12205 :rule trans :premises (@p12204 @p12202)) % 1.71/1.96 (step @p12206 :rule cong :premises (@p12205) :args (@t7251)) % 1.71/1.96 (step @p12207 :rule quant-merge-prenex :args ((= @t7251 @t7252))) % 1.71/1.96 (step @p12208 :rule symm :premises (@p12207)) % 1.71/1.96 (step @p12209 :rule quant_var_reordering :args ((= (forall @t135 @t7249) @t7252))) % 1.71/1.96 (step @p12210 :rule trans :premises (@p12209 @p12208 @p12206)) % 1.71/1.96 (step @p12211 :rule trans :premises (@p12210 @p12201)) % 1.71/1.96 (step @p12212 :rule nary_cong :premises (@p9056 @p12186) :args (@t7253)) % 1.71/1.96 (step @p12213 :rule cong :premises (@p12212) :args ((forall @t135 @t7253))) % 1.71/1.96 (step @p12214 :rule trans :premises (@p12213 @p12211)) % 1.71/1.96 (step @p12215 :rule bool-impl-elim :args (@t129 @t276)) % 1.71/1.96 (step @p12216 :rule cong :premises (@p12215) :args (@t285)) % 1.71/1.96 (step @p12217 :rule trans :premises (@p12216 @p12214)) % 1.71/1.96 (step @p12218 :rule refl :args (tptp.eqinunit)) % 1.71/1.96 (step @p12219 :rule cong :premises (@p12218 @p12217) :args (@t286)) % 1.71/1.96 (step @p12220 :rule eq_resolve :premises (@p46 @p12219)) % 1.71/1.96 (step @p12221 :rule cong :premises (@p12220 @p12196) :args (@t7254)) % 1.71/1.96 (step @p12222 :rule cong :premises (@p12176) :args (@t281)) % 1.71/1.96 (step @p12223 :rule nary_cong :premises (@p1090 @p12222) :args (@t7255)) % 1.71/1.96 (step @p12224 :rule cong :premises (@p12223) :args ((forall @t135 @t7255))) % 1.71/1.96 (step @p12225 :rule refl :args (@t281)) % 1.71/1.96 (step @p12226 :rule bool-double-not-elim :args (@t129)) % 1.71/1.96 (step @p12227 :rule nary_cong :premises (@p12226 @p12225) :args ((or (not @t282) @t281))) % 1.71/1.96 (step @p12228 :rule bool-impl-elim :args (@t282 @t281)) % 1.71/1.96 (step @p12229 :rule trans :premises (@p12228 @p12227)) % 1.71/1.96 (step @p12230 :rule cong :premises (@p12229) :args (@t283)) % 1.71/1.96 (step @p12231 :rule trans :premises (@p12230 @p12224)) % 1.71/1.96 (step @p12232 :rule refl :args (tptp.notinsingleton)) % 1.71/1.96 (step @p12233 :rule cong :premises (@p12232 @p12231) :args (@t284)) % 1.71/1.96 (step @p12234 :rule eq_resolve :premises (@p45 @p12233)) % 1.71/1.96 (step @p12235 :rule cong :premises (@p12234 @p12221) :args (@t7256)) % 1.71/1.96 (step @p12236 :rule nary_cong :premises (@p12187 @p1090) :args (@t7257)) % 1.71/1.96 (step @p12237 :rule cong :premises (@p12236) :args ((forall @t135 @t7257))) % 1.71/1.96 (step @p12238 :rule bool-impl-elim :args (@t276 @t129)) % 1.71/1.96 (step @p12239 :rule cong :premises (@p12238) :args (@t277)) % 1.71/1.96 (step @p12240 :rule trans :premises (@p12239 @p12237)) % 1.71/1.96 (step @p12241 :rule refl :args (tptp.uniqinunit)) % 1.71/1.96 (step @p12242 :rule cong :premises (@p12241 @p12240) :args (@t278)) % 1.71/1.96 (step @p12243 :rule eq_resolve :premises (@p44 @p12242)) % 1.71/1.96 (step @p12244 :rule cong :premises (@p12243 @p12235) :args (@t7258)) % 1.71/1.96 (step @p12245 :rule refl :args (@t3403)) % 1.71/1.96 (step @p12246 :rule bool-double-not-elim :args (@t196)) % 1.71/1.96 (step @p12247 :rule nary_cong :premises (@p12246 @p12245) :args ((or (not @t7259) @t3403))) % 1.71/1.96 (step @p12248 :rule bool-impl-elim :args (@t7259 @t3403)) % 1.71/1.96 (step @p12249 :rule trans :premises (@p12248 @p12247)) % 1.71/1.96 (step @p12250 :rule cong :premises (@p12249) :args ((forall @t64 (=> @t7259 @t3403)))) % 1.71/1.96 (step @p12251 :rule cong :premises (@p1615) :args (@t198)) % 1.71/1.96 (step @p12252 :rule cong :premises (@p12251) :args (@t7260)) % 1.71/1.96 (step @p12253 :rule exists-elim :args ((= @t89 @t7260))) % 1.71/1.96 (step @p12254 :rule trans :premises (@p12253 @p12252)) % 1.71/1.96 (step @p12255 :rule aci_norm :args ((= @t269 @t7))) % 1.71/1.96 (step @p12256 :rule cong :premises (@p12255) :args (@t270)) % 1.71/1.96 (step @p12257 :rule trans :premises (@p12256 @p12254)) % 1.71/1.96 (step @p12258 :rule beta-reduce :args ((= @t7261 @t7259))) % 1.71/1.96 (step @p12259 :rule cong :premises (@p12258 @p12257) :args (@t7262)) % 1.71/1.96 (step @p12260 :rule cong :premises (@p12259) :args (@t7263)) % 1.71/1.96 (step @p12261 :rule trans :premises (@p12260 @p12250)) % 1.71/1.96 (step @p12262 :rule refl :args (tptp.nonemptyImpWitness)) % 1.71/1.96 (step @p12263 :rule cong :premises (@p12262 @p12261) :args ((= tptp.nonemptyImpWitness @t7263))) % 1.71/1.96 (step @p12264 :rule refl :args (@t270)) % 1.71/1.96 (step @p12265 :rule ho_cong :premises (@p321 @p961)) % 1.71/1.96 (step @p12266 :rule cong :premises (@p12265 @p12264) :args (@t271)) % 1.71/1.96 (step @p12267 :rule cong :premises (@p12266) :args (@t272)) % 1.71/1.96 (step @p12268 :rule cong :premises (@p12262 @p12267) :args (@t273)) % 1.71/1.96 (step @p12269 :rule trans :premises (@p12268 @p12263)) % 1.71/1.96 (step @p12270 :rule eq_resolve :premises (@p43 @p12269)) % 1.71/1.96 (step @p12271 :rule cong :premises (@p12270 @p12244) :args (@t7264)) % 1.71/1.96 (step @p12272 :rule eq-symm :args (@t3406 @t19)) % 1.71/1.96 (step @p12273 :rule nary_cong :premises (@p11294 @p12272) :args (@t7265)) % 1.71/1.96 (step @p12274 :rule cong :premises (@p12273) :args (@t7266)) % 1.71/1.96 (step @p12275 :rule cong :premises (@p12274) :args (@t7267)) % 1.71/1.96 (step @p12276 :rule refl :args (@t3407)) % 1.71/1.96 (step @p12277 :rule refl :args (@t3410)) % 1.71/1.96 (step @p12278 :rule nary_cong :premises (@p12277 @p12276 @p12275) :args (@t7268)) % 1.71/1.96 (step @p12279 :rule aci_norm :args ((= @t7270 @t7268))) % 1.71/1.96 (step @p12280 :rule trans :premises (@p12279 @p12278)) % 1.71/1.96 (step @p12281 :rule cong :premises (@p12280) :args (@t7271)) % 1.71/1.96 (step @p12282 :rule quant-merge-prenex :args ((= (forall @t150 @t7273) @t7271))) % 1.71/1.96 (step @p12283 :rule refl :args (@t3410)) % 1.71/1.96 (step @p12284 :rule alpha_equiv :args (@t7274 (@list @t3406) @t3867)) % 1.71/1.96 (step @p12285 :rule nary_cong :premises (@p12284 @p12283) :args (@t7275)) % 1.71/1.96 (step @p12286 :rule quant-miniscope-or :args ((= @t7273 @t7275))) % 1.71/1.96 (step @p12287 :rule trans :premises (@p12286 @p12285)) % 1.71/1.96 (step @p12288 :rule symm :premises (@p12287)) % 1.71/1.96 (step @p12289 :rule cong :premises (@p12288) :args ((forall @t150 (or @t3354 @t3410)))) % 1.71/1.96 (step @p12290 :rule trans :premises (@p12289 @p12282)) % 1.71/1.96 (step @p12291 :rule trans :premises (@p12290 @p12281)) % 1.71/1.96 (step @p12292 :rule nary_cong :premises (@p11362 @p12283) :args ((or @t7008 @t3410))) % 1.71/1.96 (step @p12293 :rule bool-impl-elim :args (@t3355 @t3410)) % 1.71/1.96 (step @p12294 :rule trans :premises (@p12293 @p12292)) % 1.71/1.96 (step @p12295 :rule cong :premises (@p12294) :args ((forall @t150 (=> @t3355 @t3410)))) % 1.71/1.96 (step @p12296 :rule trans :premises (@p12295 @p12291)) % 1.71/1.96 (step @p12297 :rule cong :premises (@p11409 @p11839) :args (@t7276)) % 1.71/1.96 (step @p12298 :rule cong :premises (@p12297) :args (@t7277)) % 1.71/1.96 (step @p12299 :rule trans :premises (@p12298 @p12296)) % 1.71/1.96 (step @p12300 :rule refl :args (tptp.exuE2)) % 1.71/1.96 (step @p12301 :rule cong :premises (@p12300 @p12299) :args ((= tptp.exuE2 @t7277))) % 1.71/1.96 (step @p12302 :rule cong :premises (@p11440 @p11845) :args (@t266)) % 1.71/1.96 (step @p12303 :rule cong :premises (@p12302) :args (@t267)) % 1.71/1.96 (step @p12304 :rule cong :premises (@p12300 @p12303) :args (@t268)) % 1.71/1.96 (step @p12305 :rule trans :premises (@p12304 @p12301)) % 1.71/1.96 (step @p12306 :rule eq_resolve :premises (@p42 @p12305)) % 1.71/1.96 (step @p12307 :rule cong :premises (@p12306 @p12271) :args (@t7278)) % 1.71/1.96 (step @p12308 :rule refl :args ((tptp.in @t4 @t259))) % 1.71/1.96 (step @p12309 :rule refl :args ((tptp.powerset @t43))) % 1.71/1.96 (step @p12310 :rule cong :premises (@p9498) :args (@t3414)) % 1.71/1.96 (step @p12311 :rule trans :premises (@p12310 @p12309)) % 1.71/1.96 (step @p12312 :rule cong :premises (@p976 @p12311) :args (@t3415)) % 1.71/1.96 (step @p12313 :rule trans :premises (@p12312 @p12308)) % 1.71/1.96 (step @p12314 :rule ho_cong :premises (@p979 @p12311)) % 1.71/1.96 (step @p12315 :rule cong :premises (@p12314 @p12313) :args ((= (_ @t5 @t3414) @t3415))) % 1.71/1.96 (step @p12316 :rule symm :premises (@p12315)) % 1.71/1.96 (step @p12317 :rule refl :args (@t260)) % 1.71/1.96 (step @p12318 :rule eq_resolve :premises (@p12317 @p12316)) % 1.71/1.96 (step @p12319 :rule ho_cong :premises (@p3125 @p9498)) % 1.71/1.96 (step @p12320 :rule cong :premises (@p12319 @p12311) :args ((= (_ tptp.powerset @t3141) @t3414))) % 1.71/1.96 (step @p12321 :rule symm :premises (@p12320)) % 1.71/1.96 (step @p12322 :rule refl :args (@t259)) % 1.71/1.96 (step @p12323 :rule eq_resolve :premises (@p12322 @p12321)) % 1.71/1.96 (step @p12324 :rule ho_cong :premises (@p3125 @p9509)) % 1.71/1.96 (step @p12325 :rule trans :premises (@p12324 @p12323)) % 1.71/1.96 (step @p12326 :rule ho_cong :premises (@p979 @p12325)) % 1.71/1.96 (step @p12327 :rule trans :premises (@p12326 @p12318)) % 1.71/1.96 (step @p12328 :rule nary_cong :premises (@p1615 @p12327) :args (@t7279)) % 1.71/1.96 (step @p12329 :rule cong :premises (@p12328) :args ((forall @t46 @t7279))) % 1.71/1.96 (step @p12330 :rule bool-impl-elim :args (@t7 @t260)) % 1.71/1.96 (step @p12331 :rule cong :premises (@p12330) :args (@t261)) % 1.71/1.96 (step @p12332 :rule trans :premises (@p12331 @p12329)) % 1.71/1.96 (step @p12333 :rule refl :args (tptp.subPowSU)) % 1.71/1.96 (step @p12334 :rule cong :premises (@p12333 @p12332) :args (@t262)) % 1.71/1.96 (step @p12335 :rule eq_resolve :premises (@p41 @p12334)) % 1.71/1.96 (step @p12336 :rule cong :premises (@p12335 @p12307) :args (@t7280)) % 1.71/1.96 (step @p12337 :rule refl :args (@t3421)) % 1.71/1.96 (step @p12338 :rule nary_cong :premises (@p9512 @p12337) :args (@t7281)) % 1.71/1.96 (step @p12339 :rule cong :premises (@p12338) :args ((forall @t46 @t7281))) % 1.71/1.96 (step @p12340 :rule bool-impl-elim :args (@t44 @t3421)) % 1.71/1.96 (step @p12341 :rule cong :premises (@p12340) :args ((forall @t46 (=> @t44 @t3421)))) % 1.71/1.96 (step @p12342 :rule trans :premises (@p12341 @p12339)) % 1.71/1.96 (step @p12343 :rule aci_norm :args ((= (and true @t3421) @t3421))) % 1.71/1.96 (step @p12344 :rule refl :args (@t3421)) % 1.71/1.96 (step @p12345 :rule nary_cong :premises (@p1657 @p12344) :args (@t7282)) % 1.71/1.96 (step @p12346 :rule trans :premises (@p12345 @p12343)) % 1.71/1.96 (step @p12347 :rule aci_norm :args ((= @t7283 @t7282))) % 1.71/1.96 (step @p12348 :rule trans :premises (@p12347 @p12346)) % 1.71/1.96 (step @p12349 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t7284 @t173)) @t7283))) % 1.71/1.96 (step @p12350 :rule refl :args (@t7284)) % 1.71/1.96 (step @p12351 :rule nary_cong :premises (@p1677 @p12350 @p1669) :args (@t7285)) % 1.71/1.96 (step @p12352 :rule aci_norm :args ((= @t7286 @t7285))) % 1.71/1.96 (step @p12353 :rule trans :premises (@p12352 @p12351)) % 1.71/1.96 (step @p12354 :rule cong :premises (@p12353) :args ((forall @t179 @t7286))) % 1.71/1.96 (step @p12355 :rule trans :premises (@p12354 @p12349)) % 1.71/1.96 (step @p12356 :rule trans :premises (@p12355 @p12348)) % 1.71/1.96 (step @p12357 :rule bool-or-de-morgan :args (@t173 @t3420 false)) % 1.71/1.96 (step @p12358 :rule nary_cong :premises (@p12357 @p1669) :args ((or (not @t7287) @t173))) % 1.71/1.96 (step @p12359 :rule bool-impl-elim :args (@t7287 @t173)) % 1.71/1.96 (step @p12360 :rule trans :premises (@p12359 @p12358)) % 1.71/1.96 (step @p12361 :rule cong :premises (@p12360) :args ((forall @t179 (=> @t7287 @t173)))) % 1.71/1.96 (step @p12362 :rule trans :premises (@p12361 @p12356)) % 1.71/1.96 (step @p12363 :rule refl :args (@t3418)) % 1.71/1.96 (step @p12364 :rule refl :args (@t39)) % 1.71/1.96 (step @p12365 :rule cong :premises (@p12364 @p12363) :args ((= @t39 @t3418))) % 1.71/1.96 (step @p12366 :rule symm :premises (@p12365)) % 1.71/1.96 (step @p12367 :rule eq_resolve :premises (@p12364 @p12366)) % 1.71/1.96 (step @p12368 :rule cong :premises (@p12367) :args (@t7288)) % 1.71/1.96 (step @p12369 :rule nary_cong :premises (@p10082 @p12368) :args (@t7289)) % 1.71/1.96 (step @p12370 :rule cong :premises (@p12369) :args (@t7290)) % 1.71/1.96 (step @p12371 :rule nary_cong :premises (@p2142 @p12370) :args (@t7291)) % 1.71/1.96 (step @p12372 :rule quant-miniscope-or :args ((= (forall @t41 @t7292) @t7291))) % 1.71/1.96 (step @p12373 :rule aci_norm :args ((= @t7293 @t7292))) % 1.71/1.96 (step @p12374 :rule cong :premises (@p12373) :args ((forall @t41 @t7293))) % 1.71/1.96 (step @p12375 :rule trans :premises (@p12374 @p12372)) % 1.71/1.96 (step @p12376 :rule trans :premises (@p12375 @p12371)) % 1.71/1.96 (step @p12377 :rule aci_norm :args ((= (or @t437 (or @t7288 @t173)) @t7293))) % 1.71/1.96 (step @p12378 :rule bool-impl-elim :args (@t39 @t173)) % 1.71/1.96 (step @p12379 :rule refl :args (@t437)) % 1.71/1.96 (step @p12380 :rule nary_cong :premises (@p12379 @p12378) :args ((or @t437 @t252))) % 1.71/1.96 (step @p12381 :rule trans :premises (@p12380 @p12377)) % 1.71/1.96 (step @p12382 :rule bool-impl-elim :args (@t6 @t252)) % 1.71/1.96 (step @p12383 :rule trans :premises (@p12382 @p12381)) % 1.71/1.96 (step @p12384 :rule cong :premises (@p12383) :args (@t253)) % 1.71/1.96 (step @p12385 :rule trans :premises (@p12384 @p12376)) % 1.71/1.96 (step @p12386 :rule cong :premises (@p12385 @p2142) :args (@t254)) % 1.71/1.96 (step @p12387 :rule cong :premises (@p12386) :args (@t255)) % 1.71/1.96 (step @p12388 :rule trans :premises (@p12387 @p12362)) % 1.71/1.96 (step @p12389 :rule cong :premises (@p9532 @p12388) :args (@t256)) % 1.71/1.96 (step @p12390 :rule cong :premises (@p12389) :args (@t257)) % 1.71/1.96 (step @p12391 :rule trans :premises (@p12390 @p12342)) % 1.71/1.96 (step @p12392 :rule refl :args (tptp.setunionE)) % 1.71/1.96 (step @p12393 :rule cong :premises (@p12392 @p12391) :args (@t258)) % 1.71/1.96 (step @p12394 :rule eq_resolve :premises (@p40 @p12393)) % 1.71/1.96 (step @p12395 :rule cong :premises (@p12394 @p12336) :args (@t7294)) % 1.71/1.96 (step @p12396 :rule nary_cong :premises (@p10082 @p12368 @p9511) :args (@t7295)) % 1.71/1.96 (step @p12397 :rule cong :premises (@p12396) :args ((forall @t249 @t7295))) % 1.71/1.96 (step @p12398 :rule aci_norm :args ((= (or @t437 (or @t7288 @t44)) @t7295))) % 1.71/1.96 (step @p12399 :rule bool-impl-elim :args (@t39 @t44)) % 1.71/1.96 (step @p12400 :rule nary_cong :premises (@p12379 @p12399) :args ((or @t437 @t248))) % 1.71/1.96 (step @p12401 :rule trans :premises (@p12400 @p12398)) % 1.71/1.96 (step @p12402 :rule bool-impl-elim :args (@t6 @t248)) % 1.71/1.96 (step @p12403 :rule trans :premises (@p12402 @p12401)) % 1.71/1.96 (step @p12404 :rule cong :premises (@p12403) :args (@t250)) % 1.71/1.96 (step @p12405 :rule trans :premises (@p12404 @p12397)) % 1.71/1.96 (step @p12406 :rule refl :args (tptp.setunionI)) % 1.71/1.96 (step @p12407 :rule cong :premises (@p12406 @p12405) :args (@t251)) % 1.71/1.96 (step @p12408 :rule eq_resolve :premises (@p39 @p12407)) % 1.71/1.96 (step @p12409 :rule cong :premises (@p12408 @p12395) :args (@t7296)) % 1.71/1.96 (step @p12410 :rule nary_cong :premises (@p10822 @p10082 @p1614) :args (@t7297)) % 1.71/1.96 (step @p12411 :rule cong :premises (@p12410) :args ((forall @t245 @t7297))) % 1.71/1.96 (step @p12412 :rule aci_norm :args ((= (or @t6884 @t7298) @t7297))) % 1.71/1.96 (step @p12413 :rule bool-impl-elim :args (@t6 @t7)) % 1.71/1.96 (step @p12414 :rule refl :args (@t6884)) % 1.71/1.96 (step @p12415 :rule nary_cong :premises (@p12414 @p12413) :args ((or @t6884 @t31))) % 1.71/1.96 (step @p12416 :rule trans :premises (@p12415 @p12412)) % 1.71/1.96 (step @p12417 :rule bool-impl-elim :args (@t35 @t31)) % 1.71/1.96 (step @p12418 :rule trans :premises (@p12417 @p12416)) % 1.71/1.96 (step @p12419 :rule cong :premises (@p12418) :args (@t246)) % 1.71/1.96 (step @p12420 :rule trans :premises (@p12419 @p12411)) % 1.71/1.96 (step @p12421 :rule refl :args (tptp.powersetE)) % 1.71/1.96 (step @p12422 :rule cong :premises (@p12421 @p12420) :args (@t247)) % 1.71/1.96 (step @p12423 :rule eq_resolve :premises (@p38 @p12422)) % 1.71/1.96 (step @p12424 :rule cong :premises (@p12423 @p12409) :args (@t7299)) % 1.71/1.96 (step @p12425 :rule eq-symm :args (@t3429 tptp.emptyInPowerset)) % 1.71/1.96 (step @p12426 :rule refl :args (tptp.emptyInPowerset)) % 1.71/1.96 (step @p12427 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 1.71/1.96 (step @p12428 :rule cong :premises (@p377 @p3085) :args (@t3428)) % 1.71/1.96 (step @p12429 :rule trans :premises (@p12428 @p12427)) % 1.71/1.96 (step @p12430 :rule ho_cong :premises (@p380 @p3085)) % 1.71/1.96 (step @p12431 :rule cong :premises (@p12430 @p12429) :args ((= (_ @t49 @t2413) @t3428))) % 1.71/1.96 (step @p12432 :rule symm :premises (@p12431)) % 1.71/1.96 (step @p12433 :rule refl :args (@t242)) % 1.71/1.96 (step @p12434 :rule eq_resolve :premises (@p12433 @p12432)) % 1.71/1.96 (step @p12435 :rule ho_cong :premises (@p380 @p3098)) % 1.71/1.96 (step @p12436 :rule trans :premises (@p12435 @p12434)) % 1.71/1.96 (step @p12437 :rule cong :premises (@p12436) :args (@t243)) % 1.71/1.96 (step @p12438 :rule cong :premises (@p12437 @p12426) :args ((= @t243 tptp.emptyInPowerset))) % 1.71/1.96 (step @p12439 :rule trans :premises (@p12438 @p12425)) % 1.71/1.96 (step @p12440 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 1.71/1.96 (step @p12441 :rule trans :premises (@p12440 @p12439)) % 1.71/1.96 (step @p12442 :rule eq_resolve :premises (@p37 @p12441)) % 1.71/1.96 (step @p12443 :rule cong :premises (@p12442 @p12424) :args (@t7300)) % 1.71/1.96 (step @p12444 :rule refl :args (tptp.emptyinPowerset)) % 1.71/1.96 (step @p12445 :rule cong :premises (@p12444 @p12437) :args (@t244)) % 1.71/1.96 (step @p12446 :rule eq_resolve :premises (@p36 @p12445)) % 1.71/1.96 (step @p12447 :rule cong :premises (@p12446 @p12443) :args (@t7301)) % 1.71/1.96 (step @p12448 :rule refl :args (@t3433)) % 1.71/1.96 (step @p12449 :rule nary_cong :premises (@p12448 @p10821) :args (@t7302)) % 1.71/1.96 (step @p12450 :rule cong :premises (@p12449) :args ((forall @t12 @t7302))) % 1.71/1.96 (step @p12451 :rule bool-impl-elim :args (@t3432 @t35)) % 1.71/1.96 (step @p12452 :rule cong :premises (@p12451) :args ((forall @t12 (=> @t3432 @t35)))) % 1.71/1.96 (step @p12453 :rule trans :premises (@p12452 @p12450)) % 1.71/1.96 (step @p12454 :rule refl :args (@t35)) % 1.71/1.96 (step @p12455 :rule nary_cong :premises (@p10082 @p1614) :args (@t7298)) % 1.71/1.96 (step @p12456 :rule cong :premises (@p12455) :args ((forall @t9 @t7298))) % 1.71/1.96 (step @p12457 :rule cong :premises (@p12413) :args (@t32)) % 1.71/1.96 (step @p12458 :rule trans :premises (@p12457 @p12456)) % 1.71/1.96 (step @p12459 :rule cong :premises (@p12458 @p12454) :args (@t239)) % 1.71/1.96 (step @p12460 :rule cong :premises (@p12459) :args (@t240)) % 1.71/1.96 (step @p12461 :rule trans :premises (@p12460 @p12453)) % 1.71/1.96 (step @p12462 :rule refl :args (tptp.powersetI)) % 1.71/1.96 (step @p12463 :rule cong :premises (@p12462 @p12461) :args (@t241)) % 1.71/1.96 (step @p12464 :rule eq_resolve :premises (@p35 @p12463)) % 1.71/1.96 (step @p12465 :rule cong :premises (@p12464 @p12447) :args (@t7303)) % 1.71/1.96 (step @p12466 :rule refl :args (@t3438)) % 1.71/1.96 (step @p12467 :rule refl :args (@t3437)) % 1.71/1.96 (step @p12468 :rule cong :premises (@p973 @p12467) :args (@t3438)) % 1.71/1.96 (step @p12469 :rule trans :premises (@p12468 @p12466)) % 1.71/1.96 (step @p12470 :rule ho_cong :premises (@p9397 @p12467)) % 1.71/1.96 (step @p12471 :rule cong :premises (@p12470 @p12469) :args ((= @t7304 @t3438))) % 1.71/1.96 (step @p12472 :rule symm :premises (@p12471)) % 1.71/1.96 (step @p12473 :rule refl :args ((_ @t155 @t3437))) % 1.71/1.96 (step @p12474 :rule eq_resolve :premises (@p12473 @p12472)) % 1.71/1.96 (step @p12475 :rule cong :premises (@p973 @p12474) :args (@t7305)) % 1.71/1.96 (step @p12476 :rule cong :premises (@p12475) :args ((forall @t64 @t7305))) % 1.71/1.96 (step @p12477 :rule eq-symm :args (@t7304 @t2)) % 1.71/1.96 (step @p12478 :rule symm :premises (@p12467)) % 1.71/1.96 (step @p12479 :rule alpha_equiv :args (@t235 @t3867 (@list @t3436))) % 1.71/1.96 (step @p12480 :rule trans :premises (@p12479 @p12478)) % 1.71/1.96 (step @p12481 :rule ho_cong :premises (@p6742 @p12480)) % 1.71/1.96 (step @p12482 :rule cong :premises (@p12481 @p961) :args (@t236)) % 1.71/1.96 (step @p12483 :rule trans :premises (@p12482 @p12477)) % 1.71/1.96 (step @p12484 :rule cong :premises (@p12483) :args (@t237)) % 1.71/1.96 (step @p12485 :rule trans :premises (@p12484 @p12476)) % 1.71/1.96 (step @p12486 :rule refl :args (tptp.setoftrueEq)) % 1.71/1.96 (step @p12487 :rule cong :premises (@p12486 @p12485) :args (@t238)) % 1.71/1.96 (step @p12488 :rule eq_resolve :premises (@p34 @p12487)) % 1.71/1.96 (step @p12489 :rule cong :premises (@p12488 @p12465) :args (@t7306)) % 1.71/1.96 (step @p12490 :rule refl :args ((tptp.in @t19 @t25))) % 1.71/1.96 (step @p12491 :rule cong :premises (@p1104 @p10917) :args (@t3441)) % 1.71/1.96 (step @p12492 :rule trans :premises (@p12491 @p12490)) % 1.71/1.96 (step @p12493 :rule ho_cong :premises (@p7105 @p10917)) % 1.71/1.96 (step @p12494 :rule cong :premises (@p12493 @p12492) :args ((= (_ @t20 @t3297) @t3441))) % 1.71/1.96 (step @p12495 :rule symm :premises (@p12494)) % 1.71/1.96 (step @p12496 :rule refl :args (@t26)) % 1.71/1.96 (step @p12497 :rule eq_resolve :premises (@p12496 @p12495)) % 1.71/1.96 (step @p12498 :rule ho_cong :premises (@p7105 @p10928)) % 1.71/1.96 (step @p12499 :rule trans :premises (@p12498 @p12497)) % 1.71/1.96 (step @p12500 :rule cong :premises (@p12499) :args (@t7307)) % 1.71/1.96 (step @p12501 :rule nary_cong :premises (@p12500 @p1090 @p1017) :args (@t7308)) % 1.71/1.96 (step @p12502 :rule cong :premises (@p12501) :args ((forall @t28 @t7308))) % 1.71/1.96 (step @p12503 :rule aci_norm :args ((= (or @t7307 @t7309) @t7308))) % 1.71/1.96 (step @p12504 :rule bool-impl-elim :args (@t26 @t7309)) % 1.71/1.96 (step @p12505 :rule trans :premises (@p12504 @p12503)) % 1.71/1.96 (step @p12506 :rule cong :premises (@p12505) :args ((forall @t28 (=> @t26 @t7309)))) % 1.71/1.96 (step @p12507 :rule trans :premises (@p12506 @p12502)) % 1.71/1.96 (step @p12508 :rule nary_cong :premises (@p9337 @p1725) :args (@t23)) % 1.71/1.96 (step @p12509 :rule refl :args (@t26)) % 1.71/1.96 (step @p12510 :rule cong :premises (@p12509 @p12508) :args (@t232)) % 1.71/1.96 (step @p12511 :rule cong :premises (@p12510) :args (@t233)) % 1.71/1.96 (step @p12512 :rule trans :premises (@p12511 @p12507)) % 1.71/1.96 (step @p12513 :rule refl :args (tptp.setadjoinOr)) % 1.71/1.96 (step @p12514 :rule cong :premises (@p12513 @p12512) :args (@t234)) % 1.71/1.96 (step @p12515 :rule eq_resolve :premises (@p33 @p12514)) % 1.71/1.96 (step @p12516 :rule cong :premises (@p12515 @p12489) :args (@t7310)) % 1.71/1.96 (step @p12517 :rule refl :args (@t2174)) % 1.71/1.96 (step @p12518 :rule nary_cong :premises (@p12500 @p1090 @p12517) :args (@t7311)) % 1.71/1.96 (step @p12519 :rule cong :premises (@p12518) :args ((forall @t28 @t7311))) % 1.71/1.96 (step @p12520 :rule aci_norm :args ((= (or @t7307 @t3595) @t7311))) % 1.71/1.96 (step @p12521 :rule bool-impl-elim :args (@t26 @t3595)) % 1.71/1.96 (step @p12522 :rule trans :premises (@p12521 @p12520)) % 1.71/1.96 (step @p12523 :rule cong :premises (@p12522) :args ((forall @t28 (=> @t26 @t3595)))) % 1.71/1.96 (step @p12524 :rule trans :premises (@p12523 @p12519)) % 1.71/1.96 (step @p12525 :rule aci_norm :args ((= (and @t2174 true) @t2174))) % 1.71/1.96 (step @p12526 :rule refl :args (@t2174)) % 1.71/1.96 (step @p12527 :rule nary_cong :premises (@p12526 @p1657) :args (@t7312)) % 1.71/1.96 (step @p12528 :rule trans :premises (@p12527 @p12525)) % 1.71/1.96 (step @p12529 :rule aci_norm :args ((= (and @t129 true) @t129))) % 1.71/1.96 (step @p12530 :rule nary_cong :premises (@p1071 @p1657) :args (@t7313)) % 1.71/1.96 (step @p12531 :rule trans :premises (@p12530 @p12529)) % 1.71/1.96 (step @p12532 :rule nary_cong :premises (@p12531 @p12528) :args (@t7314)) % 1.71/1.96 (step @p12533 :rule aci_norm :args ((= @t7315 @t7314))) % 1.71/1.96 (step @p12534 :rule trans :premises (@p12533 @p12532)) % 1.71/1.96 (step @p12535 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t7317 @t7316 @t173)) @t7315))) % 1.71/1.96 (step @p12536 :rule refl :args (@t7316)) % 1.71/1.96 (step @p12537 :rule refl :args (@t7317)) % 1.71/1.96 (step @p12538 :rule nary_cong :premises (@p1677 @p12537 @p12536 @p1669) :args (@t7318)) % 1.71/1.96 (step @p12539 :rule aci_norm :args ((= @t7319 @t7318))) % 1.71/1.96 (step @p12540 :rule trans :premises (@p12539 @p12538)) % 1.71/1.96 (step @p12541 :rule cong :premises (@p12540) :args ((forall @t179 @t7319))) % 1.71/1.96 (step @p12542 :rule trans :premises (@p12541 @p12535)) % 1.71/1.96 (step @p12543 :rule trans :premises (@p12542 @p12534)) % 1.71/1.96 (step @p12544 :rule nary_cong :premises (@p1017 @p1684) :args (@t7320)) % 1.71/1.96 (step @p12545 :rule nary_cong :premises (@p12537 @p12544 @p1669) :args (@t7321)) % 1.71/1.96 (step @p12546 :rule cong :premises (@p12545) :args ((forall @t179 @t7321))) % 1.71/1.96 (step @p12547 :rule trans :premises (@p12546 @p12543)) % 1.71/1.96 (step @p12548 :rule aci_norm :args ((= (or @t7317 (or @t7320 @t173)) @t7321))) % 1.71/1.96 (step @p12549 :rule bool-implies-de-morgan :args (@t21 @t173)) % 1.71/1.96 (step @p12550 :rule nary_cong :premises (@p12549 @p1669) :args ((or (not @t224) @t173))) % 1.71/1.96 (step @p12551 :rule bool-impl-elim :args (@t224 @t173)) % 1.71/1.96 (step @p12552 :rule trans :premises (@p12551 @p12550)) % 1.71/1.96 (step @p12553 :rule bool-implies-de-morgan :args (@t129 @t173)) % 1.71/1.96 (step @p12554 :rule nary_cong :premises (@p12553 @p12552) :args ((or (not @t7322) @t225))) % 1.71/1.96 (step @p12555 :rule trans :premises (@p12554 @p12548)) % 1.71/1.96 (step @p12556 :rule bool-impl-elim :args (@t7322 @t225)) % 1.71/1.96 (step @p12557 :rule trans :premises (@p12556 @p12555)) % 1.71/1.96 (step @p12558 :rule cong :premises (@p12557) :args ((forall @t179 (=> @t7322 @t225)))) % 1.71/1.96 (step @p12559 :rule trans :premises (@p12558 @p12547)) % 1.71/1.96 (step @p12560 :rule refl :args (@t225)) % 1.71/1.96 (step @p12561 :rule cong :premises (@p9337 @p2142) :args (@t226)) % 1.71/1.96 (step @p12562 :rule cong :premises (@p12561 @p12560) :args (@t227)) % 1.71/1.96 (step @p12563 :rule cong :premises (@p12562) :args (@t228)) % 1.71/1.96 (step @p12564 :rule trans :premises (@p12563 @p12559)) % 1.71/1.96 (step @p12565 :rule cong :premises (@p12509 @p12564) :args (@t229)) % 1.71/1.96 (step @p12566 :rule cong :premises (@p12565) :args (@t230)) % 1.71/1.96 (step @p12567 :rule trans :premises (@p12566 @p12524)) % 1.71/1.96 (step @p12568 :rule refl :args (tptp.setadjoinE)) % 1.71/1.96 (step @p12569 :rule cong :premises (@p12568 @p12567) :args (@t231)) % 1.71/1.96 (step @p12570 :rule eq_resolve :premises (@p32 @p12569)) % 1.71/1.96 (step @p12571 :rule cong :premises (@p12570 @p12516) :args (@t7323)) % 1.71/1.96 (step @p12572 :rule nary_cong :premises (@p1018 @p12499) :args (@t7324)) % 1.71/1.96 (step @p12573 :rule cong :premises (@p12572) :args ((forall @t28 @t7324))) % 1.71/1.96 (step @p12574 :rule bool-impl-elim :args (@t21 @t26)) % 1.71/1.96 (step @p12575 :rule cong :premises (@p12574) :args (@t222)) % 1.71/1.96 (step @p12576 :rule trans :premises (@p12575 @p12573)) % 1.71/1.96 (step @p12577 :rule refl :args (tptp.setadjoinIR)) % 1.71/1.96 (step @p12578 :rule cong :premises (@p12577 @p12576) :args (@t223)) % 1.71/1.96 (step @p12579 :rule eq_resolve :premises (@p31 @p12578)) % 1.71/1.96 (step @p12580 :rule cong :premises (@p12579 @p12571) :args (@t7325)) % 1.71/1.96 (step @p12581 :rule cong :premises (@p30 @p12580) :args (@t7326)) % 1.71/1.96 (step @p12582 :rule refl :args ((tptp.in @t4 @t216))) % 1.71/1.96 (step @p12583 :rule refl :args (@t3450)) % 1.71/1.96 (step @p12584 :rule cong :premises (@p976 @p12583) :args (@t3451)) % 1.71/1.96 (step @p12585 :rule trans :premises (@p12584 @p12582)) % 1.71/1.96 (step @p12586 :rule ho_cong :premises (@p979 @p12583)) % 1.71/1.96 (step @p12587 :rule cong :premises (@p12586 @p12585) :args ((= (_ @t5 @t3450) @t3451))) % 1.71/1.96 (step @p12588 :rule symm :premises (@p12587)) % 1.71/1.96 (step @p12589 :rule refl :args (@t217)) % 1.71/1.96 (step @p12590 :rule eq_resolve :premises (@p12589 @p12588)) % 1.71/1.96 (step @p12591 :rule refl :args (@t216)) % 1.71/1.96 (step @p12592 :rule cong :premises (@p12591 @p12583) :args ((= @t216 @t3450))) % 1.71/1.96 (step @p12593 :rule symm :premises (@p12592)) % 1.71/1.96 (step @p12594 :rule eq_resolve :premises (@p12591 @p12593)) % 1.71/1.96 (step @p12595 :rule ho_cong :premises (@p979 @p12594)) % 1.71/1.96 (step @p12596 :rule trans :premises (@p12595 @p12590)) % 1.71/1.96 (step @p12597 :rule cong :premises (@p12596) :args (@t218)) % 1.71/1.96 (step @p12598 :rule refl :args (tptp.setadjoinIL)) % 1.71/1.96 (step @p12599 :rule cong :premises (@p12598 @p12597) :args (@t219)) % 1.71/1.96 (step @p12600 :rule eq_resolve :premises (@p29 @p12599)) % 1.71/1.96 (step @p12601 :rule cong :premises (@p12600 @p12581) :args (@t7327)) % 1.71/1.96 (step @p12602 :rule aci_norm :args ((= (or @t3455 false) @t3455))) % 1.71/1.96 (step @p12603 :rule cong :premises (@p11642) :args (@t7328)) % 1.71/1.96 (step @p12604 :rule trans :premises (@p12603 @p928)) % 1.71/1.96 (step @p12605 :rule refl :args (@t3455)) % 1.71/1.96 (step @p12606 :rule nary_cong :premises (@p12605 @p12604) :args (@t7329)) % 1.71/1.96 (step @p12607 :rule trans :premises (@p12606 @p12602)) % 1.71/1.96 (step @p12608 :rule cong :premises (@p12607) :args ((forall @t3456 @t7329))) % 1.71/1.96 (step @p12609 :rule quant-var-elim-eq :args ((= (forall @t64 @t7331) @t7329))) % 1.71/1.96 (step @p12610 :rule aci_norm :args ((= @t7332 @t7331))) % 1.71/1.96 (step @p12611 :rule cong :premises (@p12610) :args (@t7333)) % 1.71/1.96 (step @p12612 :rule trans :premises (@p12611 @p12609)) % 1.71/1.96 (step @p12613 :rule cong :premises (@p12612) :args (@t7334)) % 1.71/1.96 (step @p12614 :rule quant-merge-prenex :args ((= @t7334 @t7335))) % 1.71/1.96 (step @p12615 :rule symm :premises (@p12614)) % 1.71/1.96 (step @p12616 :rule quant_var_reordering :args ((= @t7336 @t7335))) % 1.71/1.96 (step @p12617 :rule trans :premises (@p12616 @p12615 @p12613)) % 1.71/1.96 (step @p12618 :rule trans :premises (@p12617 @p12608)) % 1.71/1.96 (step @p12619 :rule quant-merge-prenex :args ((= (forall @t64 @t7337) @t7336))) % 1.71/1.96 (step @p12620 :rule refl :args (@t7259)) % 1.71/1.96 (step @p12621 :rule alpha_equiv :args (@t7338 (@list @t3454) @t3867)) % 1.71/1.96 (step @p12622 :rule nary_cong :premises (@p12621 @p12620) :args (@t7339)) % 1.71/1.96 (step @p12623 :rule quant-miniscope-or :args ((= @t7337 @t7339))) % 1.71/1.96 (step @p12624 :rule trans :premises (@p12623 @p12622)) % 1.71/1.96 (step @p12625 :rule symm :premises (@p12624)) % 1.71/1.96 (step @p12626 :rule cong :premises (@p12625) :args ((forall @t64 (or @t3402 @t7259)))) % 1.71/1.96 (step @p12627 :rule trans :premises (@p12626 @p12619)) % 1.71/1.96 (step @p12628 :rule trans :premises (@p12627 @p12618)) % 1.71/1.96 (step @p12629 :rule bool-double-not-elim :args (@t3402)) % 1.71/1.96 (step @p12630 :rule nary_cong :premises (@p12629 @p12620) :args ((or @t7340 @t7259))) % 1.71/1.96 (step @p12631 :rule bool-impl-elim :args (@t3403 @t7259)) % 1.71/1.96 (step @p12632 :rule trans :premises (@p12631 @p12630)) % 1.71/1.96 (step @p12633 :rule cong :premises (@p12632) :args ((forall @t64 (=> @t3403 @t7259)))) % 1.71/1.96 (step @p12634 :rule trans :premises (@p12633 @p12628)) % 1.71/1.96 (step @p12635 :rule cong :premises (@p12254 @p12258) :args (@t7341)) % 1.71/1.96 (step @p12636 :rule cong :premises (@p12635) :args (@t7342)) % 1.71/1.96 (step @p12637 :rule trans :premises (@p12636 @p12634)) % 1.71/1.96 (step @p12638 :rule refl :args (tptp.nonemptyI1)) % 1.71/1.96 (step @p12639 :rule cong :premises (@p12638 @p12637) :args ((= tptp.nonemptyI1 @t7342))) % 1.71/1.96 (step @p12640 :rule refl :args (@t89)) % 1.71/1.96 (step @p12641 :rule cong :premises (@p12640 @p12265) :args (@t213)) % 1.71/1.96 (step @p12642 :rule cong :premises (@p12641) :args (@t214)) % 1.71/1.96 (step @p12643 :rule cong :premises (@p12638 @p12642) :args (@t215)) % 1.71/1.96 (step @p12644 :rule trans :premises (@p12643 @p12639)) % 1.71/1.96 (step @p12645 :rule eq_resolve :premises (@p28 @p12644)) % 1.71/1.96 (step @p12646 :rule cong :premises (@p12645 @p12601) :args (@t7343)) % 1.71/1.96 (step @p12647 :rule cong :premises (@p961 @p9294) :args (@t7344)) % 1.71/1.96 (step @p12648 :rule cong :premises (@p330 @p12647) :args (@t7345)) % 1.71/1.96 (step @p12649 :rule cong :premises (@p12648) :args (@t7346)) % 1.71/1.96 (step @p12650 :rule nary_cong :premises (@p4685 @p9297 @p12649) :args (@t7347)) % 1.71/1.96 (step @p12651 :rule cong :premises (@p12650) :args ((forall @t159 @t7347))) % 1.71/1.96 (step @p12652 :rule refl :args ((tptp.dsetconstr @t2 @t154))) % 1.71/1.96 (step @p12653 :rule cong :premises (@p973 @p9301) :args (@t7344)) % 1.71/1.96 (step @p12654 :rule trans :premises (@p12653 @p12652)) % 1.71/1.96 (step @p12655 :rule ho_cong :premises (@p9397 @p9301)) % 1.71/1.96 (step @p12656 :rule cong :premises (@p12655 @p12654) :args ((= (_ @t155 @t6627) @t7344))) % 1.71/1.96 (step @p12657 :rule symm :premises (@p12656)) % 1.71/1.96 (step @p12658 :rule refl :args (@t156)) % 1.71/1.96 (step @p12659 :rule eq_resolve :premises (@p12658 @p12657)) % 1.71/1.96 (step @p12660 :rule ho_cong :premises (@p9397 @p9309)) % 1.71/1.96 (step @p12661 :rule trans :premises (@p12660 @p12659)) % 1.71/1.96 (step @p12662 :rule cong :premises (@p377 @p12661) :args (@t7348)) % 1.71/1.96 (step @p12663 :rule cong :premises (@p12662) :args (@t7349)) % 1.71/1.96 (step @p12664 :rule nary_cong :premises (@p1615 @p1168 @p12663) :args (@t7350)) % 1.71/1.96 (step @p12665 :rule cong :premises (@p12664) :args ((forall @t159 @t7350))) % 1.71/1.96 (step @p12666 :rule trans :premises (@p12665 @p12651)) % 1.71/1.96 (step @p12667 :rule aci_norm :args ((= (or @t197 (or @t317 @t7349)) @t7350))) % 1.71/1.96 (step @p12668 :rule bool-impl-elim :args (@t144 @t7349)) % 1.71/1.96 (step @p12669 :rule nary_cong :premises (@p4095 @p12668) :args ((or @t197 @t7351))) % 1.71/1.96 (step @p12670 :rule trans :premises (@p12669 @p12667)) % 1.71/1.96 (step @p12671 :rule bool-impl-elim :args (@t7 @t7351)) % 1.71/1.96 (step @p12672 :rule trans :premises (@p12671 @p12670)) % 1.71/1.96 (step @p12673 :rule cong :premises (@p12672) :args ((forall @t159 (=> @t7 @t7351)))) % 1.71/1.96 (step @p12674 :rule trans :premises (@p12673 @p12666)) % 1.71/1.96 (step @p12675 :rule eq-symm :args (@t156 tptp.emptyset)) % 1.71/1.96 (step @p12676 :rule cong :premises (@p12675) :args (@t7352)) % 1.71/1.96 (step @p12677 :rule beta-reduce :args ((= @t7353 @t7352))) % 1.71/1.96 (step @p12678 :rule trans :premises (@p12677 @p12676)) % 1.71/1.96 (step @p12679 :rule cong :premises (@p1188 @p12678) :args (@t7354)) % 1.71/1.96 (step @p12680 :rule cong :premises (@p1729 @p12679) :args (@t7355)) % 1.71/1.96 (step @p12681 :rule cong :premises (@p12680) :args (@t7356)) % 1.71/1.96 (step @p12682 :rule trans :premises (@p12681 @p12674)) % 1.71/1.96 (step @p12683 :rule refl :args (tptp.nonemptyI)) % 1.71/1.96 (step @p12684 :rule cong :premises (@p12683 @p12682) :args ((= tptp.nonemptyI @t7356))) % 1.71/1.96 (step @p12685 :rule refl :args (@t156)) % 1.71/1.96 (step @p12686 :rule ho_cong :premises (@p321 @p12685)) % 1.71/1.96 (step @p12687 :rule cong :premises (@p1188 @p12686) :args (@t209)) % 1.71/1.96 (step @p12688 :rule cong :premises (@p1729 @p12687) :args (@t210)) % 1.71/1.96 (step @p12689 :rule cong :premises (@p12688) :args (@t211)) % 1.71/1.96 (step @p12690 :rule cong :premises (@p12683 @p12689) :args (@t212)) % 1.71/1.96 (step @p12691 :rule trans :premises (@p12690 @p12684)) % 1.71/1.96 (step @p12692 :rule eq_resolve :premises (@p27 @p12691)) % 1.71/1.96 (step @p12693 :rule cong :premises (@p12692 @p12646) :args (@t7357)) % 1.71/1.96 (step @p12694 :rule cong :premises (@p12258 @p12254) :args (@t7358)) % 1.71/1.96 (step @p12695 :rule cong :premises (@p12694) :args (@t7359)) % 1.71/1.96 (step @p12696 :rule trans :premises (@p12695 @p12250)) % 1.71/1.96 (step @p12697 :rule refl :args (tptp.nonemptyE1)) % 1.71/1.96 (step @p12698 :rule cong :premises (@p12697 @p12696) :args ((= tptp.nonemptyE1 @t7359))) % 1.71/1.96 (step @p12699 :rule cong :premises (@p12265 @p12640) :args (@t206)) % 1.71/1.96 (step @p12700 :rule cong :premises (@p12699) :args (@t207)) % 1.71/1.96 (step @p12701 :rule cong :premises (@p12697 @p12700) :args (@t208)) % 1.71/1.96 (step @p12702 :rule trans :premises (@p12701 @p12698)) % 1.71/1.96 (step @p12703 :rule eq_resolve :premises (@p26 @p12702)) % 1.71/1.96 (step @p12704 :rule cong :premises (@p12703 @p12693) :args (@t7360)) % 1.71/1.96 (step @p12705 :rule cong :premises (@p963 @p12647) :args (@t7361)) % 1.71/1.96 (step @p12706 :rule refl :args (@t3106)) % 1.71/1.96 (step @p12707 :rule cong :premises (@p12706 @p12705) :args (@t7362)) % 1.71/1.96 (step @p12708 :rule nary_cong :premises (@p4685 @p12707) :args (@t7363)) % 1.71/1.96 (step @p12709 :rule cong :premises (@p12708) :args ((forall @t159 @t7363))) % 1.71/1.96 (step @p12710 :rule refl :args ((tptp.in @t4 @t156))) % 1.71/1.96 (step @p12711 :rule cong :premises (@p976 @p12654) :args (@t7361)) % 1.71/1.96 (step @p12712 :rule trans :premises (@p12711 @p12710)) % 1.71/1.96 (step @p12713 :rule ho_cong :premises (@p979 @p12654)) % 1.71/1.96 (step @p12714 :rule cong :premises (@p12713 @p12712) :args ((= (_ @t5 @t7344) @t7361))) % 1.71/1.96 (step @p12715 :rule symm :premises (@p12714)) % 1.71/1.96 (step @p12716 :rule refl :args (@t157)) % 1.71/1.96 (step @p12717 :rule eq_resolve :premises (@p12716 @p12715)) % 1.71/1.96 (step @p12718 :rule ho_cong :premises (@p979 @p12661)) % 1.71/1.96 (step @p12719 :rule trans :premises (@p12718 @p12717)) % 1.71/1.96 (step @p12720 :rule cong :premises (@p1167 @p12719) :args (@t7364)) % 1.71/1.96 (step @p12721 :rule nary_cong :premises (@p1615 @p12720) :args (@t7365)) % 1.71/1.96 (step @p12722 :rule cong :premises (@p12721) :args ((forall @t159 @t7365))) % 1.71/1.96 (step @p12723 :rule trans :premises (@p12722 @p12709)) % 1.71/1.96 (step @p12724 :rule bool-impl-elim :args (@t7 @t7364)) % 1.71/1.96 (step @p12725 :rule cong :premises (@p12724) :args ((forall @t159 (=> @t7 @t7364)))) % 1.71/1.96 (step @p12726 :rule trans :premises (@p12725 @p12723)) % 1.71/1.96 (step @p12727 :rule eq-symm :args (@t157 @t144)) % 1.71/1.96 (step @p12728 :rule cong :premises (@p1729 @p12727) :args (@t202)) % 1.71/1.96 (step @p12729 :rule cong :premises (@p12728) :args (@t203)) % 1.71/1.96 (step @p12730 :rule trans :premises (@p12729 @p12726)) % 1.71/1.96 (step @p12731 :rule refl :args (tptp.setbeta)) % 1.71/1.96 (step @p12732 :rule cong :premises (@p12731 @p12730) :args (@t204)) % 1.71/1.96 (step @p12733 :rule eq_resolve :premises (@p25 @p12732)) % 1.71/1.96 (step @p12734 :rule cong :premises (@p12733 @p12704) :args (@t7366)) % 1.71/1.96 (step @p12735 :rule eq-symm :args (@t3465 tptp.noeltsimpempty)) % 1.71/1.96 (step @p12736 :rule refl :args (tptp.noeltsimpempty)) % 1.71/1.96 (step @p12737 :rule bool-impl-elim :args (@t3402 @t196)) % 1.71/1.96 (step @p12738 :rule cong :premises (@p12737) :args ((forall @t64 (=> @t3402 @t196)))) % 1.71/1.96 (step @p12739 :rule refl :args (@t196)) % 1.71/1.96 (step @p12740 :rule cong :premises (@p12251 @p12739) :args (@t199)) % 1.71/1.96 (step @p12741 :rule cong :premises (@p12740) :args (@t200)) % 1.71/1.96 (step @p12742 :rule trans :premises (@p12741 @p12738)) % 1.71/1.96 (step @p12743 :rule cong :premises (@p12742 @p12736) :args ((= @t200 tptp.noeltsimpempty))) % 1.71/1.96 (step @p12744 :rule trans :premises (@p12743 @p12735)) % 1.71/1.96 (step @p12745 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 1.71/1.96 (step @p12746 :rule trans :premises (@p12745 @p12744)) % 1.71/1.96 (step @p12747 :rule eq_resolve :premises (@p24 @p12746)) % 1.71/1.96 (step @p12748 :rule cong :premises (@p12747 @p12734) :args (@t7367)) % 1.71/1.96 (step @p12749 :rule refl :args (tptp.emptyI)) % 1.71/1.96 (step @p12750 :rule cong :premises (@p12749 @p12742) :args (@t201)) % 1.71/1.96 (step @p12751 :rule eq_resolve :premises (@p23 @p12750)) % 1.71/1.96 (step @p12752 :rule cong :premises (@p12751 @p12748) :args (@t7368)) % 1.71/1.96 (step @p12753 :rule aci_norm :args ((= (or @t3313 (or @t3433 @t3)) @t3468))) % 1.71/1.96 (step @p12754 :rule bool-impl-elim :args (@t3432 @t3)) % 1.71/1.96 (step @p12755 :rule nary_cong :premises (@p11097 @p12754) :args ((or @t3313 @t7369))) % 1.71/1.96 (step @p12756 :rule trans :premises (@p12755 @p12753)) % 1.71/1.96 (step @p12757 :rule bool-impl-elim :args (@t3312 @t7369)) % 1.71/1.96 (step @p12758 :rule trans :premises (@p12757 @p12756)) % 1.71/1.96 (step @p12759 :rule cong :premises (@p12758) :args ((forall @t12 (=> @t3312 @t7369)))) % 1.71/1.96 (step @p12760 :rule cong :premises (@p12458 @p11279) :args (@t190)) % 1.71/1.96 (step @p12761 :rule cong :premises (@p11106 @p12760) :args (@t193)) % 1.71/1.96 (step @p12762 :rule cong :premises (@p12761) :args (@t194)) % 1.71/1.96 (step @p12763 :rule trans :premises (@p12762 @p12759)) % 1.71/1.96 (step @p12764 :rule refl :args (tptp.setext)) % 1.71/1.96 (step @p12765 :rule cong :premises (@p12764 @p12763) :args (@t195)) % 1.71/1.96 (step @p12766 :rule eq_resolve :premises (@p22 @p12765)) % 1.71/1.96 (step @p12767 :rule cong :premises (@p12766 @p12752) :args (@t7370)) % 1.71/1.96 (step @p12768 :rule eq-symm :args (@t3471 @t19)) % 1.71/1.96 (step @p12769 :rule nary_cong :premises (@p11294 @p12768) :args (@t7371)) % 1.71/1.96 (step @p12770 :rule cong :premises (@p12769) :args (@t7372)) % 1.71/1.96 (step @p12771 :rule cong :premises (@p12770) :args (@t7373)) % 1.71/1.96 (step @p12772 :rule refl :args (@t3472)) % 1.71/1.96 (step @p12773 :rule refl :args (@t3474)) % 1.71/1.96 (step @p12774 :rule nary_cong :premises (@p12773 @p12772 @p12771) :args (@t7374)) % 1.71/1.96 (step @p12775 :rule aci_norm :args ((= @t7376 @t7374))) % 1.71/1.96 (step @p12776 :rule trans :premises (@p12775 @p12774)) % 1.71/1.96 (step @p12777 :rule cong :premises (@p12776) :args (@t7377)) % 1.71/1.96 (step @p12778 :rule quant-merge-prenex :args ((= (forall @t150 @t7379) @t7377))) % 1.71/1.96 (step @p12779 :rule refl :args (@t3474)) % 1.71/1.96 (step @p12780 :rule alpha_equiv :args (@t7380 (@list @t3471) @t3867)) % 1.71/1.96 (step @p12781 :rule nary_cong :premises (@p12780 @p12779) :args (@t7381)) % 1.71/1.96 (step @p12782 :rule quant-miniscope-or :args ((= @t7379 @t7381))) % 1.71/1.96 (step @p12783 :rule trans :premises (@p12782 @p12781)) % 1.71/1.96 (step @p12784 :rule symm :premises (@p12783)) % 1.71/1.96 (step @p12785 :rule cong :premises (@p12784) :args ((forall @t150 (or @t3354 @t3474)))) % 1.71/1.96 (step @p12786 :rule trans :premises (@p12785 @p12778)) % 1.71/1.96 (step @p12787 :rule trans :premises (@p12786 @p12777)) % 1.71/1.96 (step @p12788 :rule nary_cong :premises (@p11362 @p12779) :args ((or @t7008 @t3474))) % 1.71/1.96 (step @p12789 :rule bool-impl-elim :args (@t3355 @t3474)) % 1.71/1.96 (step @p12790 :rule trans :premises (@p12789 @p12788)) % 1.71/1.96 (step @p12791 :rule cong :premises (@p12790) :args ((forall @t150 (=> @t3355 @t3474)))) % 1.71/1.96 (step @p12792 :rule trans :premises (@p12791 @p12787)) % 1.71/1.96 (step @p12793 :rule cong :premises (@p11409 @p11878) :args (@t7382)) % 1.71/1.96 (step @p12794 :rule cong :premises (@p12793) :args (@t7383)) % 1.71/1.96 (step @p12795 :rule trans :premises (@p12794 @p12792)) % 1.71/1.96 (step @p12796 :rule refl :args (tptp.exuE3e)) % 1.71/1.96 (step @p12797 :rule cong :premises (@p12796 @p12795) :args ((= tptp.exuE3e @t7383))) % 1.71/1.96 (step @p12798 :rule cong :premises (@p11440 @p11885) :args (@t187)) % 1.71/1.96 (step @p12799 :rule cong :premises (@p12798) :args (@t188)) % 1.71/1.96 (step @p12800 :rule cong :premises (@p12796 @p12799) :args (@t189)) % 1.71/1.96 (step @p12801 :rule trans :premises (@p12800 @p12797)) % 1.71/1.96 (step @p12802 :rule eq_resolve :premises (@p21 @p12801)) % 1.71/1.96 (step @p12803 :rule cong :premises (@p12802 @p12767) :args (@t7384)) % 1.71/1.96 (step @p12804 :rule eq-symm :args (@t3478 tptp.notinemptyset)) % 1.71/1.96 (step @p12805 :rule refl :args (tptp.notinemptyset)) % 1.71/1.96 (step @p12806 :rule cong :premises (@p12095) :args (@t17)) % 1.71/1.96 (step @p12807 :rule cong :premises (@p12806 @p12805) :args ((= @t17 tptp.notinemptyset))) % 1.71/1.96 (step @p12808 :rule trans :premises (@p12807 @p12804)) % 1.71/1.96 (step @p12809 :rule eq-symm :args (tptp.notinemptyset @t17)) % 1.71/1.96 (step @p12810 :rule trans :premises (@p12809 @p12808)) % 1.71/1.96 (step @p12811 :rule eq_resolve :premises (@p20 @p12810)) % 1.71/1.96 (step @p12812 :rule cong :premises (@p12811 @p12803) :args (@t7385)) % 1.71/1.96 (step @p12813 :rule bool-impl-false1 :args (@t15)) % 1.71/1.96 (step @p12814 :rule cong :premises (@p12813) :args (@t184)) % 1.71/1.96 (step @p12815 :rule trans :premises (@p12814 @p12806)) % 1.71/1.96 (step @p12816 :rule refl :args (tptp.emptysetimpfalse)) % 1.71/1.96 (step @p12817 :rule cong :premises (@p12816 @p12815) :args (@t185)) % 1.71/1.96 (step @p12818 :rule eq_resolve :premises (@p19 @p12817)) % 1.71/1.96 (step @p12819 :rule cong :premises (@p12818 @p12812) :args (@t7386)) % 1.71/1.96 (step @p12820 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t173)) false))) % 1.71/1.96 (step @p12821 :rule nary_cong :premises (@p1677 @p1669) :args (@t7387)) % 1.71/1.96 (step @p12822 :rule aci_norm :args ((= @t173 @t7387))) % 1.71/1.96 (step @p12823 :rule trans :premises (@p12822 @p12821)) % 1.71/1.96 (step @p12824 :rule cong :premises (@p12823) :args (@t180)) % 1.71/1.96 (step @p12825 :rule trans :premises (@p12824 @p12820)) % 1.71/1.96 (step @p12826 :rule refl :args (@t15)) % 1.71/1.96 (step @p12827 :rule cong :premises (@p12826 @p12825) :args (@t181)) % 1.71/1.96 (step @p12828 :rule trans :premises (@p12827 @p12813)) % 1.71/1.96 (step @p12829 :rule cong :premises (@p12828) :args (@t182)) % 1.71/1.96 (step @p12830 :rule trans :premises (@p12829 @p12806)) % 1.71/1.96 (step @p12831 :rule refl :args (tptp.emptysetE)) % 1.71/1.96 (step @p12832 :rule cong :premises (@p12831 @p12830) :args (@t183)) % 1.71/1.96 (step @p12833 :rule eq_resolve :premises (@p18 @p12832)) % 1.71/1.96 (step @p12834 :rule cong :premises (@p12833 @p12819) :args (@t7388)) % 1.71/1.96 (step @p12835 :rule aci_norm :args ((= @t7389 @t3482))) % 1.71/1.96 (step @p12836 :rule cong :premises (@p12835) :args ((forall @t9 @t7389))) % 1.71/1.96 (step @p12837 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t4061 @t7391 @t173)) @t7389))) % 1.71/1.96 (step @p12838 :rule refl :args (@t7391)) % 1.71/1.96 (step @p12839 :rule nary_cong :premises (@p1677 @p12838 @p1669) :args (@t7392)) % 1.71/1.96 (step @p12840 :rule aci_norm :args ((= @t7393 @t7392))) % 1.71/1.96 (step @p12841 :rule trans :premises (@p12840 @p12839)) % 1.71/1.96 (step @p12842 :rule cong :premises (@p12841) :args (@t7394)) % 1.71/1.96 (step @p12843 :rule trans :premises (@p12842 @p12837)) % 1.71/1.96 (step @p12844 :rule cong :premises (@p12843) :args (@t7395)) % 1.71/1.96 (step @p12845 :rule quant-merge-prenex :args ((= @t7395 @t7396))) % 1.71/1.96 (step @p12846 :rule symm :premises (@p12845)) % 1.71/1.96 (step @p12847 :rule quant_var_reordering :args ((= (forall @t176 @t7393) @t7396))) % 1.71/1.96 (step @p12848 :rule trans :premises (@p12847 @p12846 @p12844)) % 1.71/1.96 (step @p12849 :rule trans :premises (@p12848 @p12836)) % 1.71/1.96 (step @p12850 :rule refl :args ((tptp.in @t4 @t174))) % 1.71/1.96 (step @p12851 :rule cong :premises (@p976 @p11996) :args (@t7390)) % 1.71/1.96 (step @p12852 :rule trans :premises (@p12851 @p12850)) % 1.71/1.96 (step @p12853 :rule ho_cong :premises (@p979 @p11996)) % 1.71/1.96 (step @p12854 :rule cong :premises (@p12853 @p12852) :args ((= (_ @t5 @t7209) @t7390))) % 1.71/1.96 (step @p12855 :rule symm :premises (@p12854)) % 1.71/1.96 (step @p12856 :rule refl :args (@t175)) % 1.71/1.96 (step @p12857 :rule eq_resolve :premises (@p12856 @p12855)) % 1.71/1.96 (step @p12858 :rule ho_cong :premises (@p979 @p12008)) % 1.71/1.96 (step @p12859 :rule trans :premises (@p12858 @p12857)) % 1.71/1.96 (step @p12860 :rule cong :premises (@p12859) :args (@t7397)) % 1.71/1.96 (step @p12861 :rule nary_cong :premises (@p12860 @p1669) :args (@t7398)) % 1.71/1.96 (step @p12862 :rule cong :premises (@p12861) :args ((forall @t176 @t7398))) % 1.71/1.96 (step @p12863 :rule trans :premises (@p12862 @p12849)) % 1.71/1.96 (step @p12864 :rule bool-impl-elim :args (@t175 @t173)) % 1.71/1.96 (step @p12865 :rule cong :premises (@p12864) :args (@t177)) % 1.71/1.96 (step @p12866 :rule trans :premises (@p12865 @p12863)) % 1.71/1.96 (step @p12867 :rule refl :args (tptp.prop2setE)) % 1.71/1.96 (step @p12868 :rule cong :premises (@p12867 @p12866) :args (@t178)) % 1.71/1.96 (step @p12869 :rule eq_resolve :premises (@p17 @p12868)) % 1.71/1.96 (step @p12870 :rule cong :premises (@p12869 @p12834) :args (@t7399)) % 1.71/1.96 (step @p12871 :rule bool-eq-true :args (tptp.exuE1)) % 1.71/1.96 (step @p12872 :rule symm :premises (@p12871)) % 1.71/1.96 (step @p12873 :rule cong :premises (@p11409 @p1191) :args (@t7400)) % 1.71/1.96 (step @p12874 :rule cong :premises (@p12873) :args (@t7401)) % 1.71/1.96 (step @p12875 :rule trans :premises (@p12874 @p11901)) % 1.71/1.96 (step @p12876 :rule refl :args (tptp.exuE1)) % 1.71/1.96 (step @p12877 :rule cong :premises (@p12876 @p12875) :args ((= tptp.exuE1 @t7401))) % 1.71/1.96 (step @p12878 :rule trans :premises (@p12877 @p12871)) % 1.71/1.96 (step @p12879 :rule cong :premises (@p11440 @p11908) :args (@t170)) % 1.71/1.96 (step @p12880 :rule cong :premises (@p12879) :args (@t171)) % 1.71/1.96 (step @p12881 :rule cong :premises (@p12876 @p12880) :args (@t172)) % 1.71/1.96 (step @p12882 :rule trans :premises (@p12881 @p12878)) % 1.71/1.96 (step @p12883 :rule eq_resolve :premises (@p16 @p12882)) % 1.71/1.96 (step @p12884 :rule eq_resolve :premises (@p12883 @p12872)) % 1.71/1.96 (step @p12885 :rule cong :premises (@p12884 @p12870) :args (@t7402)) % 1.71/1.96 (step @p12886 :rule cong :premises (@p12705) :args (@t7403)) % 1.71/1.96 (step @p12887 :rule nary_cong :premises (@p12886 @p12706) :args (@t7404)) % 1.71/1.96 (step @p12888 :rule cong :premises (@p12887) :args ((forall @t159 @t7404))) % 1.71/1.96 (step @p12889 :rule cong :premises (@p12719) :args (@t7405)) % 1.71/1.96 (step @p12890 :rule nary_cong :premises (@p12889 @p1167) :args (@t7406)) % 1.71/1.96 (step @p12891 :rule cong :premises (@p12890) :args ((forall @t159 @t7406))) % 1.71/1.96 (step @p12892 :rule trans :premises (@p12891 @p12888)) % 1.71/1.96 (step @p12893 :rule bool-impl-elim :args (@t157 @t144)) % 1.71/1.96 (step @p12894 :rule cong :premises (@p12893) :args (@t164)) % 1.71/1.96 (step @p12895 :rule trans :premises (@p12894 @p12892)) % 1.71/1.96 (step @p12896 :rule refl :args (tptp.dsetconstrER)) % 1.71/1.96 (step @p12897 :rule cong :premises (@p12896 @p12895) :args (@t165)) % 1.71/1.96 (step @p12898 :rule eq_resolve :premises (@p15 @p12897)) % 1.71/1.96 (step @p12899 :rule cong :premises (@p12898 @p12885) :args (@t7407)) % 1.71/1.96 (step @p12900 :rule nary_cong :premises (@p12886 @p8445) :args (@t7408)) % 1.71/1.96 (step @p12901 :rule cong :premises (@p12900) :args ((forall @t159 @t7408))) % 1.71/1.96 (step @p12902 :rule nary_cong :premises (@p12889 @p1614) :args (@t7409)) % 1.71/1.96 (step @p12903 :rule cong :premises (@p12902) :args ((forall @t159 @t7409))) % 1.71/1.96 (step @p12904 :rule trans :premises (@p12903 @p12901)) % 1.71/1.96 (step @p12905 :rule bool-impl-elim :args (@t157 @t7)) % 1.71/1.96 (step @p12906 :rule cong :premises (@p12905) :args (@t162)) % 1.71/1.96 (step @p12907 :rule trans :premises (@p12906 @p12904)) % 1.71/1.96 (step @p12908 :rule refl :args (tptp.dsetconstrEL)) % 1.71/1.96 (step @p12909 :rule cong :premises (@p12908 @p12907) :args (@t163)) % 1.71/1.96 (step @p12910 :rule eq_resolve :premises (@p14 @p12909)) % 1.71/1.96 (step @p12911 :rule cong :premises (@p12910 @p12899) :args (@t7410)) % 1.71/1.96 (step @p12912 :rule nary_cong :premises (@p4685 @p9297 @p12705) :args (@t7411)) % 1.71/1.96 (step @p12913 :rule cong :premises (@p12912) :args ((forall @t159 @t7411))) % 1.71/1.96 (step @p12914 :rule nary_cong :premises (@p1615 @p1168 @p12719) :args (@t7412)) % 1.71/1.96 (step @p12915 :rule cong :premises (@p12914) :args ((forall @t159 @t7412))) % 1.71/1.96 (step @p12916 :rule trans :premises (@p12915 @p12913)) % 1.71/1.96 (step @p12917 :rule aci_norm :args ((= (or @t197 (or @t317 @t157)) @t7412))) % 1.71/1.96 (step @p12918 :rule bool-impl-elim :args (@t144 @t157)) % 1.71/1.96 (step @p12919 :rule nary_cong :premises (@p4095 @p12918) :args ((or @t197 @t158))) % 1.71/1.96 (step @p12920 :rule trans :premises (@p12919 @p12917)) % 1.71/1.96 (step @p12921 :rule bool-impl-elim :args (@t7 @t158)) % 1.71/1.96 (step @p12922 :rule trans :premises (@p12921 @p12920)) % 1.71/1.96 (step @p12923 :rule cong :premises (@p12922) :args (@t160)) % 1.71/1.96 (step @p12924 :rule trans :premises (@p12923 @p12916)) % 1.71/1.96 (step @p12925 :rule refl :args (tptp.dsetconstrI)) % 1.71/1.96 (step @p12926 :rule cong :premises (@p12925 @p12924) :args (@t161)) % 1.71/1.96 (step @p12927 :rule eq_resolve :premises (@p13 @p12926)) % 1.71/1.96 (step @p12928 :rule cong :premises (@p12927 @p12911) :args (@t7413)) % 1.71/1.96 (step @p12929 :rule eq-symm :args (@t3492 @t19)) % 1.71/1.96 (step @p12930 :rule nary_cong :premises (@p11294 @p12929) :args (@t7414)) % 1.71/1.96 (step @p12931 :rule cong :premises (@p12930) :args (@t7415)) % 1.71/1.96 (step @p12932 :rule cong :premises (@p12931) :args (@t7416)) % 1.71/1.96 (step @p12933 :rule refl :args (@t3493)) % 1.71/1.96 (step @p12934 :rule refl :args (@t3494)) % 1.71/1.96 (step @p12935 :rule nary_cong :premises (@p12934 @p12933 @p12932) :args (@t7417)) % 1.71/1.96 (step @p12936 :rule aci_norm :args ((= @t7419 @t7417))) % 1.71/1.96 (step @p12937 :rule trans :premises (@p12936 @p12935)) % 1.71/1.96 (step @p12938 :rule cong :premises (@p12937) :args (@t7420)) % 1.71/1.96 (step @p12939 :rule quant-merge-prenex :args ((= (forall @t150 @t7422) @t7420))) % 1.71/1.96 (step @p12940 :rule refl :args (@t3494)) % 1.71/1.96 (step @p12941 :rule alpha_equiv :args (@t7423 (@list @t3492) @t3867)) % 1.71/1.96 (step @p12942 :rule nary_cong :premises (@p12941 @p12940) :args (@t7424)) % 1.71/1.96 (step @p12943 :rule quant-miniscope-or :args ((= @t7422 @t7424))) % 1.71/1.96 (step @p12944 :rule trans :premises (@p12943 @p12942)) % 1.71/1.96 (step @p12945 :rule symm :premises (@p12944)) % 1.71/1.96 (step @p12946 :rule cong :premises (@p12945) :args ((forall @t150 (or @t3354 @t3494)))) % 1.71/1.96 (step @p12947 :rule trans :premises (@p12946 @p12939)) % 1.71/1.96 (step @p12948 :rule trans :premises (@p12947 @p12938)) % 1.71/1.96 (step @p12949 :rule cong :premises (@p11318) :args (@t7425)) % 1.71/1.96 (step @p12950 :rule nary_cong :premises (@p11321 @p12949) :args (@t7426)) % 1.71/1.96 (step @p12951 :rule cong :premises (@p12950) :args ((forall @t150 @t7426))) % 1.71/1.96 (step @p12952 :rule trans :premises (@p12951 @p12948)) % 1.71/1.96 (step @p12953 :rule refl :args ((_ @t143 @t146))) % 1.71/1.96 (step @p12954 :rule cong :premises (@p11338) :args (@t7425)) % 1.71/1.96 (step @p12955 :rule trans :premises (@p12954 @p12953)) % 1.71/1.96 (step @p12956 :rule ho_cong :premises (@p2781 @p11338)) % 1.71/1.96 (step @p12957 :rule cong :premises (@p12956 @p12955) :args ((= (_ @t143 @t7002) @t7425))) % 1.71/1.96 (step @p12958 :rule symm :premises (@p12957)) % 1.71/1.96 (step @p12959 :rule refl :args (@t147)) % 1.71/1.96 (step @p12960 :rule eq_resolve :premises (@p12959 @p12958)) % 1.71/1.96 (step @p12961 :rule ho_cong :premises (@p2781 @p11345)) % 1.71/1.96 (step @p12962 :rule trans :premises (@p12961 @p12960)) % 1.71/1.96 (step @p12963 :rule nary_cong :premises (@p11348 @p12962) :args (@t7427)) % 1.71/1.96 (step @p12964 :rule cong :premises (@p12963) :args ((forall @t150 @t7427))) % 1.71/1.96 (step @p12965 :rule trans :premises (@p12964 @p12952)) % 1.71/1.96 (step @p12966 :rule nary_cong :premises (@p11362 @p12959) :args ((or @t7008 @t147))) % 1.71/1.96 (step @p12967 :rule bool-impl-elim :args (@t3355 @t147)) % 1.71/1.96 (step @p12968 :rule trans :premises (@p12967 @p12966)) % 1.71/1.96 (step @p12969 :rule cong :premises (@p12968) :args ((forall @t150 (=> @t3355 @t147)))) % 1.71/1.96 (step @p12970 :rule trans :premises (@p12969 @p12965)) % 1.71/1.96 (step @p12971 :rule refl :args (@t147)) % 1.71/1.96 (step @p12972 :rule cong :premises (@p11409 @p12971) :args (@t7428)) % 1.71/1.96 (step @p12973 :rule cong :premises (@p12972) :args (@t7429)) % 1.71/1.96 (step @p12974 :rule trans :premises (@p12973 @p12970)) % 1.71/1.96 (step @p12975 :rule refl :args (tptp.descrp)) % 1.71/1.96 (step @p12976 :rule cong :premises (@p12975 @p12974) :args ((= tptp.descrp @t7429))) % 1.71/1.96 (step @p12977 :rule cong :premises (@p11440 @p12971) :args (@t149)) % 1.71/1.96 (step @p12978 :rule cong :premises (@p12977) :args (@t151)) % 1.71/1.96 (step @p12979 :rule cong :premises (@p12975 @p12978) :args (@t152)) % 1.71/1.96 (step @p12980 :rule trans :premises (@p12979 @p12976)) % 1.71/1.96 (step @p12981 :rule eq_resolve :premises (@p12 @p12980)) % 1.71/1.96 (step @p12982 :rule cong :premises (@p12981 @p12928) :args (@t7430)) % 1.71/1.96 (step @p12983 :rule aci_norm :args ((= (or @t3546 (or @t3539 (or @t3535 @t3523))) @t3547))) % 1.71/1.96 (step @p12984 :rule bool-and-de-morgan :args (@t3534 @t3522 true)) % 1.71/1.96 (step @p12985 :rule refl :args (@t3539)) % 1.71/1.96 (step @p12986 :rule nary_cong :premises (@p12985 @p12984) :args ((or @t3539 (not (and @t3534 @t3522))))) % 1.71/1.96 (step @p12987 :rule bool-and-de-morgan :args (@t3538 @t3534 (and @t3522))) % 1.71/1.96 (step @p12988 :rule trans :premises (@p12987 @p12986)) % 1.71/1.96 (step @p12989 :rule refl :args (@t3546)) % 1.71/1.96 (step @p12990 :rule nary_cong :premises (@p12989 @p12988) :args ((or @t3546 (not (and @t3538 @t3534 @t3522))))) % 1.71/1.96 (step @p12991 :rule bool-and-de-morgan :args (@t3545 @t3538 (and @t3534 @t3522))) % 1.71/1.96 (step @p12992 :rule trans :premises (@p12991 @p12990)) % 1.71/1.96 (step @p12993 :rule trans :premises (@p12992 @p12983)) % 1.71/1.96 (step @p12994 :rule cong :premises (@p12993) :args (@t7432)) % 1.71/1.96 (step @p12995 :rule cong :premises (@p12994) :args (@t7433)) % 1.71/1.96 (step @p12996 :rule exists-elim :args ((= (exists @t41 @t7431) @t7433))) % 1.71/1.96 (step @p12997 :rule trans :premises (@p12996 @p12995)) % 1.71/1.96 (step @p12998 :rule quant-merge-prenex :args ((= (forall @t118 @t7435) @t3522))) % 1.71/1.96 (step @p12999 :rule refl :args (@t3516)) % 1.71/1.96 (step @p13000 :rule alpha_equiv :args (@t7436 (@list @t3517) @t3867)) % 1.71/1.96 (step @p13001 :rule refl :args (@t3520)) % 1.71/1.96 (step @p13002 :rule nary_cong :premises (@p13001 @p13000 @p12999) :args (@t7437)) % 1.71/1.96 (step @p13003 :rule quant-miniscope-or :args ((= @t7435 @t7437))) % 1.71/1.96 (step @p13004 :rule trans :premises (@p13003 @p13002)) % 1.71/1.96 (step @p13005 :rule symm :premises (@p13004)) % 1.71/1.96 (step @p13006 :rule cong :premises (@p13005) :args ((forall @t118 @t7439))) % 1.71/1.96 (step @p13007 :rule trans :premises (@p13006 @p12998)) % 1.71/1.96 (step @p13008 :rule aci_norm :args ((= (or (or @t3520 @t7438) @t3516) @t7439))) % 1.71/1.96 (step @p13009 :rule bool-double-not-elim :args (@t7438)) % 1.71/1.96 (step @p13010 :rule nary_cong :premises (@p13001 @p13009) :args ((or @t3520 (not @t7440)))) % 1.71/1.96 (step @p13011 :rule bool-and-de-morgan :args (@t3519 @t7440 true)) % 1.71/1.96 (step @p13012 :rule trans :premises (@p13011 @p13010)) % 1.71/1.96 (step @p13013 :rule nary_cong :premises (@p13012 @p12999) :args ((or (not @t7441) @t3516))) % 1.71/1.96 (step @p13014 :rule trans :premises (@p13013 @p13008)) % 1.71/1.96 (step @p13015 :rule bool-impl-elim :args (@t7441 @t3516)) % 1.71/1.96 (step @p13016 :rule trans :premises (@p13015 @p13014)) % 1.71/1.96 (step @p13017 :rule cong :premises (@p13016) :args ((forall @t118 (=> @t7441 @t3516)))) % 1.71/1.96 (step @p13018 :rule trans :premises (@p13017 @p13007)) % 1.71/1.96 (step @p13019 :rule refl :args (@t3507)) % 1.71/1.96 (step @p13020 :rule refl :args (@t3511)) % 1.71/1.96 (step @p13021 :rule refl :args (@t3512)) % 1.71/1.96 (step @p13022 :rule refl :args (@t109)) % 1.71/1.96 (step @p13023 :rule cong :premises (@p13022 @p13021) :args ((= @t109 @t3512))) % 1.71/1.96 (step @p13024 :rule symm :premises (@p13023)) % 1.71/1.96 (step @p13025 :rule eq_resolve :premises (@p13022 @p13024)) % 1.71/1.96 (step @p13026 :rule cong :premises (@p13025) :args (@t7442)) % 1.71/1.96 (step @p13027 :rule refl :args (@t3514)) % 1.71/1.96 (step @p13028 :rule refl :args (@t110)) % 1.71/1.96 (step @p13029 :rule cong :premises (@p13028 @p13027) :args ((= @t110 @t3514))) % 1.71/1.96 (step @p13030 :rule symm :premises (@p13029)) % 1.71/1.96 (step @p13031 :rule eq_resolve :premises (@p13028 @p13030)) % 1.71/1.96 (step @p13032 :rule cong :premises (@p13031) :args (@t7443)) % 1.71/1.96 (step @p13033 :rule nary_cong :premises (@p13032 @p13026 @p13020 @p13019) :args (@t7444)) % 1.71/1.96 (step @p13034 :rule cong :premises (@p13033) :args ((forall @t112 @t7444))) % 1.71/1.96 (step @p13035 :rule aci_norm :args ((= (or @t7443 (or @t7442 (or @t3511 @t3507))) @t7444))) % 1.71/1.96 (step @p13036 :rule bool-and-de-morgan :args (@t3510 @t3506 true)) % 1.71/1.96 (step @p13037 :rule refl :args (@t7442)) % 1.71/1.96 (step @p13038 :rule nary_cong :premises (@p13037 @p13036) :args ((or @t7442 (not (and @t3510 @t3506))))) % 1.71/1.96 (step @p13039 :rule bool-and-de-morgan :args (@t109 @t3510 (and @t3506))) % 1.71/1.96 (step @p13040 :rule trans :premises (@p13039 @p13038)) % 1.71/1.96 (step @p13041 :rule refl :args (@t7443)) % 1.71/1.96 (step @p13042 :rule nary_cong :premises (@p13041 @p13040) :args ((or @t7443 (not (and @t109 @t3510 @t3506))))) % 1.71/1.96 (step @p13043 :rule bool-and-de-morgan :args (@t110 @t109 (and @t3510 @t3506))) % 1.71/1.96 (step @p13044 :rule trans :premises (@p13043 @p13042)) % 1.71/1.96 (step @p13045 :rule trans :premises (@p13044 @p13035)) % 1.71/1.96 (step @p13046 :rule cong :premises (@p13045) :args (@t7446)) % 1.71/1.96 (step @p13047 :rule trans :premises (@p13046 @p13034)) % 1.71/1.96 (step @p13048 :rule cong :premises (@p13047) :args (@t7447)) % 1.71/1.96 (step @p13049 :rule exists-elim :args ((= (exists @t112 @t7445) @t7447))) % 1.71/1.96 (step @p13050 :rule trans :premises (@p13049 @p13048)) % 1.71/1.96 (step @p13051 :rule aci_norm :args ((= @t7449 @t3504))) % 1.71/1.96 (step @p13052 :rule cong :premises (@p13051) :args (@t7450)) % 1.71/1.96 (step @p13053 :rule quant-merge-prenex :args ((= (forall @t102 @t7452) @t7450))) % 1.71/1.96 (step @p13054 :rule refl :args (@t3501)) % 1.71/1.96 (step @p13055 :rule alpha_equiv :args (@t7453 (@list @t3498) @t3833)) % 1.71/1.96 (step @p13056 :rule refl :args (@t3503)) % 1.71/1.96 (step @p13057 :rule nary_cong :premises (@p13056 @p13055 @p13054) :args (@t7454)) % 1.71/1.96 (step @p13058 :rule quant-miniscope-or :args ((= @t7452 @t7454))) % 1.71/1.96 (step @p13059 :rule trans :premises (@p13058 @p13057)) % 1.71/1.96 (step @p13060 :rule symm :premises (@p13059)) % 1.71/1.96 (step @p13061 :rule cong :premises (@p13060) :args ((forall @t102 (or @t3503 @t7456 @t3501)))) % 1.71/1.96 (step @p13062 :rule trans :premises (@p13061 @p13053)) % 1.71/1.96 (step @p13063 :rule trans :premises (@p13062 @p13052)) % 1.71/1.96 (step @p13064 :rule refl :args (@t3501)) % 1.71/1.96 (step @p13065 :rule refl :args (@t94)) % 1.71/1.96 (step @p13066 :rule cong :premises (@p13065 @p13064) :args ((= @t94 @t3501))) % 1.71/1.96 (step @p13067 :rule symm :premises (@p13066)) % 1.71/1.96 (step @p13068 :rule eq_resolve :premises (@p13065 @p13067)) % 1.71/1.96 (step @p13069 :rule refl :args (@t7456)) % 1.71/1.96 (step @p13070 :rule refl :args (@t3502)) % 1.71/1.96 (step @p13071 :rule refl :args (@t100)) % 1.71/1.96 (step @p13072 :rule cong :premises (@p13071 @p13070) :args ((= @t100 @t3502))) % 1.71/1.96 (step @p13073 :rule symm :premises (@p13072)) % 1.71/1.96 (step @p13074 :rule eq_resolve :premises (@p13071 @p13073)) % 1.71/1.96 (step @p13075 :rule cong :premises (@p13074) :args (@t7457)) % 1.71/1.96 (step @p13076 :rule nary_cong :premises (@p13075 @p13069 @p13068) :args (@t7458)) % 1.71/1.96 (step @p13077 :rule cong :premises (@p13076) :args ((forall @t102 @t7458))) % 1.71/1.96 (step @p13078 :rule trans :premises (@p13077 @p13063)) % 1.71/1.96 (step @p13079 :rule aci_norm :args ((= (or @t7457 @t7459) @t7458))) % 1.71/1.96 (step @p13080 :rule bool-impl-elim :args (@t100 @t7459)) % 1.71/1.96 (step @p13081 :rule trans :premises (@p13080 @p13079)) % 1.71/1.96 (step @p13082 :rule cong :premises (@p13081) :args ((forall @t102 (=> @t100 @t7459)))) % 1.71/1.96 (step @p13083 :rule trans :premises (@p13082 @p13078)) % 1.71/1.96 (step @p13084 :rule refl :args (@t94)) % 1.71/1.96 (step @p13085 :rule refl :args (@t3509)) % 1.71/1.96 (step @p13086 :rule refl :args (@t96)) % 1.71/1.96 (step @p13087 :rule cong :premises (@p13086 @p13085) :args ((= @t96 @t3509))) % 1.71/1.96 (step @p13088 :rule symm :premises (@p13087)) % 1.71/1.96 (step @p13089 :rule eq_resolve :premises (@p13086 @p13088)) % 1.71/1.96 (step @p13090 :rule refl :args (@t7455)) % 1.71/1.96 (step @p13091 :rule refl :args (@t97)) % 1.71/1.96 (step @p13092 :rule cong :premises (@p13091 @p13090) :args ((= @t97 @t7455))) % 1.71/1.96 (step @p13093 :rule symm :premises (@p13092)) % 1.71/1.96 (step @p13094 :rule eq_resolve :premises (@p13091 @p13093)) % 1.71/1.96 (step @p13095 :rule cong :premises (@p13094) :args (@t7460)) % 1.71/1.96 (step @p13096 :rule nary_cong :premises (@p13095 @p13089) :args (@t7461)) % 1.71/1.96 (step @p13097 :rule cong :premises (@p13096) :args ((forall @t70 @t7461))) % 1.71/1.96 (step @p13098 :rule bool-impl-elim :args (@t97 @t96)) % 1.71/1.96 (step @p13099 :rule cong :premises (@p13098) :args (@t98)) % 1.71/1.96 (step @p13100 :rule trans :premises (@p13099 @p13097)) % 1.71/1.96 (step @p13101 :rule nary_cong :premises (@p13100 @p13084) :args (@t99)) % 1.71/1.96 (step @p13102 :rule refl :args (@t100)) % 1.71/1.96 (step @p13103 :rule cong :premises (@p13102 @p13101) :args (@t101)) % 1.71/1.96 (step @p13104 :rule cong :premises (@p13103) :args (@t103)) % 1.71/1.96 (step @p13105 :rule trans :premises (@p13104 @p13083)) % 1.71/1.96 (step @p13106 :rule bool-double-not-elim :args (@t3510)) % 1.71/1.96 (step @p13107 :rule refl :args (@t3508)) % 1.71/1.96 (step @p13108 :rule refl :args (@t105)) % 1.71/1.96 (step @p13109 :rule cong :premises (@p13108 @p13107) :args ((= @t105 @t3508))) % 1.71/1.96 (step @p13110 :rule symm :premises (@p13109)) % 1.71/1.96 (step @p13111 :rule eq_resolve :premises (@p13108 @p13110)) % 1.71/1.96 (step @p13112 :rule cong :premises (@p13111) :args (@t7462)) % 1.71/1.96 (step @p13113 :rule cong :premises (@p13089) :args (@t7463)) % 1.71/1.96 (step @p13114 :rule nary_cong :premises (@p13113 @p13112) :args (@t7464)) % 1.71/1.96 (step @p13115 :rule cong :premises (@p13114) :args ((forall @t70 @t7464))) % 1.71/1.96 (step @p13116 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 1.71/1.96 (step @p13117 :rule cong :premises (@p13116) :args (@t7465)) % 1.71/1.96 (step @p13118 :rule trans :premises (@p13117 @p13115)) % 1.71/1.96 (step @p13119 :rule cong :premises (@p13118) :args (@t7466)) % 1.71/1.96 (step @p13120 :rule exists-elim :args ((= @t107 @t7466))) % 1.71/1.96 (step @p13121 :rule trans :premises (@p13120 @p13119)) % 1.71/1.96 (step @p13122 :rule cong :premises (@p13121) :args (@t108)) % 1.71/1.96 (step @p13123 :rule trans :premises (@p13122 @p13106)) % 1.71/1.96 (step @p13124 :rule refl :args (@t109)) % 1.71/1.96 (step @p13125 :rule refl :args (@t110)) % 1.71/1.96 (step @p13126 :rule nary_cong :premises (@p13125 @p13124 @p13123 @p13105) :args (@t111)) % 1.71/1.96 (step @p13127 :rule cong :premises (@p13126) :args (@t113)) % 1.71/1.96 (step @p13128 :rule trans :premises (@p13127 @p13050)) % 1.71/1.96 (step @p13129 :rule cong :premises (@p13026) :args (@t7467)) % 1.71/1.96 (step @p13130 :rule cong :premises (@p13129) :args (@t7468)) % 1.71/1.96 (step @p13131 :rule exists-elim :args ((= @t114 @t7468))) % 1.71/1.96 (step @p13132 :rule trans :premises (@p13131 @p13130)) % 1.71/1.96 (step @p13133 :rule nary_cong :premises (@p13026 @p1614) :args (@t7469)) % 1.71/1.96 (step @p13134 :rule cong :premises (@p13133) :args ((forall @t9 @t7469))) % 1.71/1.96 (step @p13135 :rule bool-impl-elim :args (@t109 @t7)) % 1.71/1.96 (step @p13136 :rule cong :premises (@p13135) :args (@t115)) % 1.71/1.96 (step @p13137 :rule trans :premises (@p13136 @p13134)) % 1.71/1.96 (step @p13138 :rule nary_cong :premises (@p13137 @p13132) :args (@t116)) % 1.71/1.96 (step @p13139 :rule cong :premises (@p13138 @p13128) :args (@t117)) % 1.71/1.96 (step @p13140 :rule cong :premises (@p13139) :args (@t119)) % 1.71/1.96 (step @p13141 :rule trans :premises (@p13140 @p13018)) % 1.71/1.96 (step @p13142 :rule aci_norm :args ((= @t7472 @t3532))) % 1.71/1.96 (step @p13143 :rule cong :premises (@p13142) :args (@t7473)) % 1.71/1.96 (step @p13144 :rule quant-merge-prenex :args ((= (forall @t127 @t7474) @t7473))) % 1.71/1.96 (step @p13145 :rule alpha_equiv :args (@t7475 (@list @t3524) @t3867)) % 1.71/1.96 (step @p13146 :rule alpha_equiv :args (@t7476 (@list @t3527) @t3867)) % 1.71/1.96 (step @p13147 :rule refl :args (@t3515)) % 1.71/1.96 (step @p13148 :rule refl :args (@t3531)) % 1.71/1.96 (step @p13149 :rule nary_cong :premises (@p13148 @p13147 @p13146 @p13145) :args (@t7477)) % 1.71/1.96 (step @p13150 :rule quant-miniscope-or :args ((= @t7474 @t7477))) % 1.71/1.96 (step @p13151 :rule trans :premises (@p13150 @p13149)) % 1.71/1.96 (step @p13152 :rule symm :premises (@p13151)) % 1.71/1.96 (step @p13153 :rule cong :premises (@p13152) :args ((forall @t127 (or @t3531 @t3515 @t7480 @t7479)))) % 1.71/1.96 (step @p13154 :rule trans :premises (@p13153 @p13144)) % 1.71/1.96 (step @p13155 :rule trans :premises (@p13154 @p13143)) % 1.71/1.96 (step @p13156 :rule refl :args (@t7479)) % 1.71/1.96 (step @p13157 :rule refl :args (@t7480)) % 1.71/1.96 (step @p13158 :rule refl :args (@t3530)) % 1.71/1.96 (step @p13159 :rule refl :args (@t124)) % 1.71/1.96 (step @p13160 :rule cong :premises (@p13159 @p13158) :args ((= @t124 @t3530))) % 1.71/1.96 (step @p13161 :rule symm :premises (@p13160)) % 1.71/1.96 (step @p13162 :rule eq_resolve :premises (@p13159 @p13161)) % 1.71/1.96 (step @p13163 :rule cong :premises (@p13162) :args (@t7481)) % 1.71/1.96 (step @p13164 :rule nary_cong :premises (@p13163 @p13032 @p13157 @p13156) :args (@t7482)) % 1.71/1.96 (step @p13165 :rule cong :premises (@p13164) :args ((forall @t127 @t7482))) % 1.71/1.96 (step @p13166 :rule trans :premises (@p13165 @p13155)) % 1.71/1.96 (step @p13167 :rule aci_norm :args ((= (or (or @t7481 @t7443) @t7483) @t7482))) % 1.71/1.96 (step @p13168 :rule refl :args (@t7483)) % 1.71/1.96 (step @p13169 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 1.71/1.96 (step @p13170 :rule nary_cong :premises (@p13169 @p13168) :args ((or (not @t125) @t7483))) % 1.71/1.96 (step @p13171 :rule trans :premises (@p13170 @p13167)) % 1.71/1.96 (step @p13172 :rule bool-impl-elim :args (@t125 @t7483)) % 1.71/1.96 (step @p13173 :rule trans :premises (@p13172 @p13171)) % 1.71/1.96 (step @p13174 :rule cong :premises (@p13173) :args ((forall @t127 (=> @t125 @t7483)))) % 1.71/1.96 (step @p13175 :rule trans :premises (@p13174 @p13166)) % 1.71/1.96 (step @p13176 :rule refl :args (@t7478)) % 1.71/1.96 (step @p13177 :rule refl :args (@t120)) % 1.71/1.96 (step @p13178 :rule cong :premises (@p13177 @p13176) :args ((= @t120 @t7478))) % 1.71/1.96 (step @p13179 :rule symm :premises (@p13178)) % 1.71/1.96 (step @p13180 :rule eq_resolve :premises (@p13177 @p13179)) % 1.71/1.96 (step @p13181 :rule cong :premises (@p13180) :args (@t7484)) % 1.71/1.96 (step @p13182 :rule nary_cong :premises (@p13181 @p13025) :args (@t7485)) % 1.71/1.96 (step @p13183 :rule cong :premises (@p13182) :args ((forall @t9 @t7485))) % 1.71/1.96 (step @p13184 :rule bool-impl-elim :args (@t120 @t109)) % 1.71/1.96 (step @p13185 :rule cong :premises (@p13184) :args (@t121)) % 1.71/1.96 (step @p13186 :rule trans :premises (@p13185 @p13183)) % 1.71/1.96 (step @p13187 :rule nary_cong :premises (@p13026 @p13180) :args (@t7486)) % 1.71/1.96 (step @p13188 :rule cong :premises (@p13187) :args ((forall @t9 @t7486))) % 1.71/1.96 (step @p13189 :rule bool-impl-elim :args (@t109 @t120)) % 1.71/1.96 (step @p13190 :rule cong :premises (@p13189) :args (@t122)) % 1.71/1.96 (step @p13191 :rule trans :premises (@p13190 @p13188)) % 1.71/1.96 (step @p13192 :rule nary_cong :premises (@p13191 @p13186) :args (@t123)) % 1.71/1.96 (step @p13193 :rule refl :args (@t125)) % 1.71/1.96 (step @p13194 :rule cong :premises (@p13193 @p13192) :args (@t126)) % 1.71/1.96 (step @p13195 :rule cong :premises (@p13194) :args (@t128)) % 1.71/1.96 (step @p13196 :rule trans :premises (@p13195 @p13175)) % 1.71/1.96 (step @p13197 :rule refl :args (@t3537)) % 1.71/1.96 (step @p13198 :rule nary_cong :premises (@p1615 @p1018 @p13197 @p1090) :args (@t7487)) % 1.71/1.96 (step @p13199 :rule cong :premises (@p13198) :args ((forall @t135 @t7487))) % 1.71/1.96 (step @p13200 :rule aci_norm :args ((= (or (or @t197 @t3841) (or @t3537 @t129)) @t7487))) % 1.71/1.96 (step @p13201 :rule bool-impl-elim :args (@t3536 @t129)) % 1.71/1.96 (step @p13202 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 1.71/1.96 (step @p13203 :rule nary_cong :premises (@p13202 @p13201) :args ((or (not @t133) @t7488))) % 1.71/1.96 (step @p13204 :rule trans :premises (@p13203 @p13200)) % 1.71/1.96 (step @p13205 :rule bool-impl-elim :args (@t133 @t7488)) % 1.71/1.96 (step @p13206 :rule trans :premises (@p13205 @p13204)) % 1.71/1.96 (step @p13207 :rule cong :premises (@p13206) :args ((forall @t135 (=> @t133 @t7488)))) % 1.71/1.96 (step @p13208 :rule trans :premises (@p13207 @p13199)) % 1.71/1.96 (step @p13209 :rule cong :premises (@p13025 @p13111) :args (@t130)) % 1.71/1.96 (step @p13210 :rule nary_cong :premises (@p13163 @p13209) :args (@t7489)) % 1.71/1.96 (step @p13211 :rule cong :premises (@p13210) :args ((forall @t118 @t7489))) % 1.71/1.96 (step @p13212 :rule bool-impl-elim :args (@t124 @t130)) % 1.71/1.96 (step @p13213 :rule cong :premises (@p13212) :args (@t131)) % 1.71/1.96 (step @p13214 :rule trans :premises (@p13213 @p13211)) % 1.71/1.96 (step @p13215 :rule cong :premises (@p13214 @p1071) :args (@t132)) % 1.71/1.96 (step @p13216 :rule refl :args (@t133)) % 1.71/1.96 (step @p13217 :rule cong :premises (@p13216 @p13215) :args (@t134)) % 1.71/1.96 (step @p13218 :rule cong :premises (@p13217) :args (@t136)) % 1.71/1.96 (step @p13219 :rule trans :premises (@p13218 @p13208)) % 1.71/1.96 (step @p13220 :rule aci_norm :args ((= @t7491 @t3543))) % 1.71/1.96 (step @p13221 :rule cong :premises (@p13220) :args (@t7492)) % 1.71/1.96 (step @p13222 :rule quant-merge-prenex :args ((= (forall @t118 @t7494) @t7492))) % 1.71/1.96 (step @p13223 :rule alpha_equiv :args (@t7495 (@list @t3540) @t3867)) % 1.71/1.96 (step @p13224 :rule nary_cong :premises (@p13148 @p13223) :args (@t7496)) % 1.71/1.96 (step @p13225 :rule quant-miniscope-or :args ((= @t7494 @t7496))) % 1.71/1.96 (step @p13226 :rule trans :premises (@p13225 @p13224)) % 1.71/1.96 (step @p13227 :rule symm :premises (@p13226)) % 1.71/1.96 (step @p13228 :rule cong :premises (@p13227) :args ((forall @t118 (or @t3531 @t3519)))) % 1.71/1.96 (step @p13229 :rule trans :premises (@p13228 @p13222)) % 1.71/1.96 (step @p13230 :rule trans :premises (@p13229 @p13221)) % 1.71/1.96 (step @p13231 :rule refl :args (@t3519)) % 1.71/1.96 (step @p13232 :rule nary_cong :premises (@p13163 @p13231) :args (@t7497)) % 1.71/1.96 (step @p13233 :rule cong :premises (@p13232) :args ((forall @t118 @t7497))) % 1.71/1.96 (step @p13234 :rule trans :premises (@p13233 @p13230)) % 1.71/1.96 (step @p13235 :rule bool-impl-elim :args (@t124 @t3519)) % 1.71/1.96 (step @p13236 :rule cong :premises (@p13235) :args ((forall @t118 (=> @t124 @t3519)))) % 1.71/1.96 (step @p13237 :rule trans :premises (@p13236 @p13234)) % 1.71/1.96 (step @p13238 :rule refl :args (@t124)) % 1.71/1.96 (step @p13239 :rule cong :premises (@p13238 @p13137) :args (@t137)) % 1.71/1.96 (step @p13240 :rule cong :premises (@p13239) :args (@t138)) % 1.71/1.96 (step @p13241 :rule trans :premises (@p13240 @p13237)) % 1.71/1.96 (step @p13242 :rule nary_cong :premises (@p13241 @p13219 @p13196 @p13141) :args (@t139)) % 1.71/1.96 (step @p13243 :rule cong :premises (@p13242) :args (@t140)) % 1.71/1.96 (step @p13244 :rule trans :premises (@p13243 @p12997)) % 1.71/1.96 (step @p13245 :rule cong :premises (@p13244) :args (@t141)) % 1.71/1.96 (step @p13246 :rule refl :args (tptp.wellorderingAx)) % 1.71/1.96 (step @p13247 :rule cong :premises (@p13246 @p13245) :args (@t142)) % 1.71/1.96 (step @p13248 :rule eq_resolve :premises (@p11 @p13247)) % 1.71/1.96 (step @p13249 :rule cong :premises (@p13248 @p12982) :args (@t7498)) % 1.71/1.96 (step @p13250 :rule quant-merge-prenex :args ((= (forall @t64 @t7500) @t3556))) % 1.71/1.96 (step @p13251 :rule refl :args (@t3552)) % 1.71/1.96 (step @p13252 :rule alpha_equiv :args (@t7501 (@list @t3553) @t3867)) % 1.71/1.96 (step @p13253 :rule nary_cong :premises (@p13252 @p13251) :args (@t7502)) % 1.71/1.96 (step @p13254 :rule quant-miniscope-or :args ((= @t7500 @t7502))) % 1.71/1.96 (step @p13255 :rule trans :premises (@p13254 @p13253)) % 1.71/1.96 (step @p13256 :rule symm :premises (@p13255)) % 1.71/1.96 (step @p13257 :rule cong :premises (@p13256) :args ((forall @t64 (or @t3402 @t3552)))) % 1.71/1.96 (step @p13258 :rule trans :premises (@p13257 @p13250)) % 1.71/1.96 (step @p13259 :rule nary_cong :premises (@p12629 @p13251) :args ((or @t7340 @t3552))) % 1.71/1.96 (step @p13260 :rule bool-impl-elim :args (@t3403 @t3552)) % 1.71/1.96 (step @p13261 :rule trans :premises (@p13260 @p13259)) % 1.71/1.96 (step @p13262 :rule cong :premises (@p13261) :args ((forall @t64 (=> @t3403 @t3552)))) % 1.71/1.96 (step @p13263 :rule trans :premises (@p13262 @p13258)) % 1.71/1.96 (step @p13264 :rule refl :args (@t3551)) % 1.71/1.96 (step @p13265 :rule nary_cong :premises (@p12368 @p13264) :args (@t7503)) % 1.71/1.96 (step @p13266 :rule cong :premises (@p13265) :args ((forall @t41 @t7503))) % 1.71/1.96 (step @p13267 :rule bool-and-de-morgan :args (@t39 @t3550 true)) % 1.71/1.96 (step @p13268 :rule cong :premises (@p13267) :args (@t7505)) % 1.71/1.96 (step @p13269 :rule trans :premises (@p13268 @p13266)) % 1.71/1.96 (step @p13270 :rule cong :premises (@p13269) :args (@t7506)) % 1.71/1.96 (step @p13271 :rule exists-elim :args ((= (exists @t41 @t7504) @t7506))) % 1.71/1.96 (step @p13272 :rule trans :premises (@p13271 @p13270)) % 1.71/1.96 (step @p13273 :rule bool-double-not-elim :args (@t3550)) % 1.71/1.96 (step @p13274 :rule nary_cong :premises (@p10082 @p1615) :args (@t7507)) % 1.71/1.96 (step @p13275 :rule cong :premises (@p13274) :args ((forall @t9 @t7507))) % 1.71/1.96 (step @p13276 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 1.71/1.96 (step @p13277 :rule cong :premises (@p13276) :args (@t7508)) % 1.71/1.96 (step @p13278 :rule trans :premises (@p13277 @p13275)) % 1.71/1.96 (step @p13279 :rule cong :premises (@p13278) :args (@t7509)) % 1.71/1.96 (step @p13280 :rule exists-elim :args ((= @t85 @t7509))) % 1.71/1.96 (step @p13281 :rule trans :premises (@p13280 @p13279)) % 1.71/1.96 (step @p13282 :rule cong :premises (@p13281) :args (@t86)) % 1.71/1.96 (step @p13283 :rule trans :premises (@p13282 @p13273)) % 1.71/1.96 (step @p13284 :rule refl :args (@t39)) % 1.71/1.96 (step @p13285 :rule nary_cong :premises (@p13284 @p13283) :args (@t87)) % 1.71/1.96 (step @p13286 :rule cong :premises (@p13285) :args (@t88)) % 1.71/1.96 (step @p13287 :rule trans :premises (@p13286 @p13272)) % 1.71/1.96 (step @p13288 :rule cong :premises (@p12254 @p13287) :args (@t90)) % 1.71/1.96 (step @p13289 :rule cong :premises (@p13288) :args (@t91)) % 1.71/1.96 (step @p13290 :rule trans :premises (@p13289 @p13263)) % 1.71/1.96 (step @p13291 :rule refl :args (tptp.foundationAx)) % 1.71/1.96 (step @p13292 :rule cong :premises (@p13291 @p13290) :args (@t92)) % 1.71/1.96 (step @p13293 :rule eq_resolve :premises (@p10 @p13292)) % 1.71/1.96 (step @p13294 :rule cong :premises (@p13293 @p13249) :args (@t7510)) % 1.71/1.96 (step @p13295 :rule bool-impl-elim :args (@t3568 @t3561)) % 1.71/1.96 (step @p13296 :rule cong :premises (@p13295) :args ((forall @t81 (=> @t3568 @t3561)))) % 1.71/1.96 (step @p13297 :rule exists-elim :args ((= (exists @t41 @t3560) @t3561))) % 1.71/1.96 (step @p13298 :rule refl :args (@t3559)) % 1.71/1.96 (step @p13299 :rule cong :premises (@p1147 @p13298) :args (@t7511)) % 1.71/1.96 (step @p13300 :rule cong :premises (@p13299) :args ((forall @t9 @t7511))) % 1.71/1.96 (step @p13301 :rule refl :args (@t3558)) % 1.71/1.96 (step @p13302 :rule refl :args (@t68)) % 1.71/1.96 (step @p13303 :rule cong :premises (@p13302 @p13301) :args ((= @t68 @t3558))) % 1.71/1.96 (step @p13304 :rule symm :premises (@p13303)) % 1.71/1.96 (step @p13305 :rule eq_resolve :premises (@p13302 @p13304)) % 1.71/1.96 (step @p13306 :rule cong :premises (@p13305) :args (@t7512)) % 1.71/1.96 (step @p13307 :rule nary_cong :premises (@p1018 @p13306) :args (@t7513)) % 1.71/1.96 (step @p13308 :rule cong :premises (@p13307) :args ((forall @t70 @t7513))) % 1.71/1.96 (step @p13309 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 1.71/1.96 (step @p13310 :rule cong :premises (@p13309) :args (@t7514)) % 1.71/1.96 (step @p13311 :rule trans :premises (@p13310 @p13308)) % 1.71/1.96 (step @p13312 :rule cong :premises (@p13311) :args (@t7515)) % 1.71/1.96 (step @p13313 :rule exists-elim :args ((= @t71 @t7515))) % 1.71/1.96 (step @p13314 :rule trans :premises (@p13313 @p13312)) % 1.71/1.96 (step @p13315 :rule cong :premises (@p1150 @p13314) :args (@t72)) % 1.71/1.96 (step @p13316 :rule cong :premises (@p13315) :args (@t73)) % 1.71/1.96 (step @p13317 :rule trans :premises (@p13316 @p13300)) % 1.71/1.96 (step @p13318 :rule cong :premises (@p13317) :args (@t74)) % 1.71/1.96 (step @p13319 :rule trans :premises (@p13318 @p13297)) % 1.71/1.96 (step @p13320 :rule refl :args (@t3567)) % 1.71/1.96 (step @p13321 :rule nary_cong :premises (@p1615 @p13320) :args (@t7516)) % 1.71/1.96 (step @p13322 :rule cong :premises (@p13321) :args ((forall @t9 @t7516))) % 1.71/1.96 (step @p13323 :rule bool-impl-elim :args (@t7 @t3567)) % 1.71/1.96 (step @p13324 :rule cong :premises (@p13323) :args ((forall @t9 (=> @t7 @t3567)))) % 1.71/1.96 (step @p13325 :rule trans :premises (@p13324 @p13322)) % 1.71/1.96 (step @p13326 :rule refl :args (@t3564)) % 1.71/1.96 (step @p13327 :rule refl :args (@t3565)) % 1.71/1.96 (step @p13328 :rule refl :args (@t7517)) % 1.71/1.96 (step @p13329 :rule cong :premises (@p13328 @p13327) :args ((= @t7517 @t3565))) % 1.71/1.96 (step @p13330 :rule symm :premises (@p13329)) % 1.71/1.96 (step @p13331 :rule eq_resolve :premises (@p13328 @p13330)) % 1.71/1.96 (step @p13332 :rule cong :premises (@p13331) :args (@t7518)) % 1.71/1.96 (step @p13333 :rule nary_cong :premises (@p13332 @p13326) :args (@t7519)) % 1.71/1.96 (step @p13334 :rule cong :premises (@p13333) :args ((forall @t3566 @t7519))) % 1.71/1.96 (step @p13335 :rule refl :args (@t3563)) % 1.71/1.96 (step @p13336 :rule nary_cong :premises (@p3015 @p13335) :args (@t7520)) % 1.71/1.96 (step @p13337 :rule cong :premises (@p13336) :args ((forall @t70 @t7520))) % 1.71/1.96 (step @p13338 :rule refl :args (@t3563)) % 1.71/1.96 (step @p13339 :rule beta-reduce :args ((= @t7521 @t76))) % 1.71/1.96 (step @p13340 :rule cong :premises (@p13339) :args (@t7522)) % 1.71/1.96 (step @p13341 :rule nary_cong :premises (@p13340 @p13338) :args (@t7523)) % 1.71/1.96 (step @p13342 :rule cong :premises (@p13341) :args (@t7524)) % 1.71/1.96 (step @p13343 :rule trans :premises (@p13342 @p13337)) % 1.71/1.96 (step @p13344 :rule cong :premises (@p13343) :args (@t7525)) % 1.71/1.96 (step @p13345 :rule beta-reduce :args ((= @t7526 @t7517))) % 1.71/1.96 (step @p13346 :rule cong :premises (@p13345) :args (@t7527)) % 1.71/1.96 (step @p13347 :rule nary_cong :premises (@p13346 @p13344) :args (@t7528)) % 1.71/1.96 (step @p13348 :rule cong :premises (@p13347) :args (@t7529)) % 1.71/1.96 (step @p13349 :rule trans :premises (@p13348 @p13334)) % 1.71/1.96 (step @p13350 :rule cong :premises (@p13349) :args (@t7530)) % 1.71/1.96 (step @p13351 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t3566 (or @t7531 (not (forall @t70 (or @t3116 @t3563))))))) @t77) @t7530))) % 1.71/1.96 (step @p13352 :rule trans :premises (@p13351 @p13350)) % 1.71/1.96 (step @p13353 :rule refl :args (@t77)) % 1.71/1.96 (step @p13354 :rule eq-symm :args (@t3562 @t19)) % 1.71/1.96 (step @p13355 :rule nary_cong :premises (@p11294 @p13354) :args (@t7532)) % 1.71/1.96 (step @p13356 :rule cong :premises (@p13355) :args (@t7533)) % 1.71/1.96 (step @p13357 :rule cong :premises (@p13356) :args (@t7534)) % 1.71/1.96 (step @p13358 :rule refl :args (@t7531)) % 1.71/1.96 (step @p13359 :rule nary_cong :premises (@p13358 @p13357) :args (@t7535)) % 1.71/1.96 (step @p13360 :rule cong :premises (@p13359) :args (@t7536)) % 1.71/1.96 (step @p13361 :rule cong :premises (@p13360) :args (@t7537)) % 1.71/1.96 (step @p13362 :rule cong :premises (@p13361) :args ((lambda @t150 @t7537))) % 1.71/1.96 (step @p13363 :rule ho_cong :premises (@p13362 @p13353)) % 1.71/1.96 (step @p13364 :rule trans :premises (@p13363 @p13352)) % 1.71/1.96 (step @p13365 :rule refl :args (@t77)) % 1.71/1.96 (step @p13366 :rule alpha_equiv :args (@t3354 @t3867 (@list @t3562))) % 1.71/1.96 (step @p13367 :rule cong :premises (@p13366) :args (@t3355)) % 1.71/1.96 (step @p13368 :rule cong :premises (@p13367) :args (@t3888)) % 1.71/1.96 (step @p13369 :rule ho_cong :premises (@p13368 @p13365)) % 1.71/1.96 (step @p13370 :rule trans :premises (@p13369 @p13364)) % 1.71/1.96 (step @p13371 :rule cong :premises (@p1729 @p13370) :args (@t7538)) % 1.71/1.96 (step @p13372 :rule cong :premises (@p13371) :args (@t7539)) % 1.71/1.96 (step @p13373 :rule trans :premises (@p13372 @p13325)) % 1.71/1.96 (step @p13374 :rule cong :premises (@p13373 @p13319) :args (@t7540)) % 1.71/1.96 (step @p13375 :rule cong :premises (@p13374) :args (@t7541)) % 1.71/1.96 (step @p13376 :rule trans :premises (@p13375 @p13296)) % 1.71/1.96 (step @p13377 :rule refl :args (tptp.replAx)) % 1.71/1.96 (step @p13378 :rule cong :premises (@p13377 @p13376) :args ((= tptp.replAx @t7541))) % 1.71/1.96 (step @p13379 :rule refl :args (@t74)) % 1.71/1.96 (step @p13380 :rule ho_cong :premises (@p1193 @p13353)) % 1.71/1.96 (step @p13381 :rule cong :premises (@p1729 @p13380) :args (@t78)) % 1.71/1.96 (step @p13382 :rule cong :premises (@p13381) :args (@t79)) % 1.71/1.96 (step @p13383 :rule cong :premises (@p13382 @p13379) :args (@t80)) % 1.71/1.96 (step @p13384 :rule cong :premises (@p13383) :args (@t82)) % 1.71/1.96 (step @p13385 :rule cong :premises (@p13377 @p13384) :args (@t83)) % 1.71/1.96 (step @p13386 :rule trans :premises (@p13385 @p13378)) % 1.71/1.96 (step @p13387 :rule eq_resolve :premises (@p9 @p13386)) % 1.71/1.96 (step @p13388 :rule cong :premises (@p13387 @p13294) :args (@t7542)) % 1.71/1.96 (step @p13389 :rule aci_norm :args ((= @t7544 @t3582))) % 1.71/1.96 (step @p13390 :rule cong :premises (@p13389) :args (@t7545)) % 1.71/1.96 (step @p13391 :rule quant-merge-prenex :args ((= (forall @t64 @t7547) @t7545))) % 1.71/1.96 (step @p13392 :rule alpha_equiv :args (@t7548 (@list @t3571) @t3867)) % 1.71/1.96 (step @p13393 :rule refl :args (@t3579)) % 1.71/1.96 (step @p13394 :rule refl :args (@t3581)) % 1.71/1.96 (step @p13395 :rule nary_cong :premises (@p13394 @p13393 @p13392) :args (@t7549)) % 1.71/1.96 (step @p13396 :rule quant-miniscope-or :args ((= @t7547 @t7549))) % 1.71/1.96 (step @p13397 :rule trans :premises (@p13396 @p13395)) % 1.71/1.96 (step @p13398 :rule symm :premises (@p13397)) % 1.71/1.96 (step @p13399 :rule cong :premises (@p13398) :args ((forall @t64 (or @t3581 @t3579 @t7550)))) % 1.71/1.96 (step @p13400 :rule trans :premises (@p13399 @p13391)) % 1.71/1.96 (step @p13401 :rule trans :premises (@p13400 @p13390)) % 1.71/1.96 (step @p13402 :rule refl :args (@t7550)) % 1.71/1.96 (step @p13403 :rule refl :args (@t3580)) % 1.71/1.96 (step @p13404 :rule refl :args (@t61)) % 1.71/1.96 (step @p13405 :rule cong :premises (@p13404 @p13403) :args ((= @t61 @t3580))) % 1.71/1.96 (step @p13406 :rule symm :premises (@p13405)) % 1.71/1.96 (step @p13407 :rule eq_resolve :premises (@p13404 @p13406)) % 1.71/1.96 (step @p13408 :rule cong :premises (@p13407) :args (@t7551)) % 1.71/1.96 (step @p13409 :rule nary_cong :premises (@p13408 @p13393 @p13402) :args (@t7552)) % 1.71/1.96 (step @p13410 :rule cong :premises (@p13409) :args ((forall @t64 @t7552))) % 1.71/1.96 (step @p13411 :rule trans :premises (@p13410 @p13401)) % 1.71/1.96 (step @p13412 :rule aci_norm :args ((= (or (or @t7551 @t3579) @t7550) @t7552))) % 1.71/1.96 (step @p13413 :rule bool-and-de-morgan :args (@t61 @t3578 true)) % 1.71/1.96 (step @p13414 :rule nary_cong :premises (@p13413 @p13402) :args ((or (not @t7553) @t7550))) % 1.71/1.96 (step @p13415 :rule trans :premises (@p13414 @p13412)) % 1.71/1.96 (step @p13416 :rule bool-impl-elim :args (@t7553 @t7550)) % 1.71/1.96 (step @p13417 :rule trans :premises (@p13416 @p13415)) % 1.71/1.96 (step @p13418 :rule cong :premises (@p13417) :args ((forall @t64 (=> @t7553 @t7550)))) % 1.71/1.96 (step @p13419 :rule trans :premises (@p13418 @p13411)) % 1.71/1.96 (step @p13420 :rule refl :args (@t3576)) % 1.71/1.96 (step @p13421 :rule refl :args (@t54)) % 1.71/1.96 (step @p13422 :rule cong :premises (@p13421 @p13420) :args ((= @t54 @t3576))) % 1.71/1.96 (step @p13423 :rule symm :premises (@p13422)) % 1.71/1.96 (step @p13424 :rule eq_resolve :premises (@p13421 @p13423)) % 1.71/1.96 (step @p13425 :rule cong :premises (@p13424) :args (@t7554)) % 1.71/1.96 (step @p13426 :rule nary_cong :premises (@p13425 @p1614) :args (@t7555)) % 1.71/1.96 (step @p13427 :rule cong :premises (@p13426) :args ((forall @t9 @t7555))) % 1.71/1.96 (step @p13428 :rule bool-impl-elim :args (@t54 @t7)) % 1.71/1.96 (step @p13429 :rule cong :premises (@p13428) :args (@t57)) % 1.71/1.96 (step @p13430 :rule trans :premises (@p13429 @p13427)) % 1.71/1.96 (step @p13431 :rule refl :args ((tptp.in @t51 @t2))) % 1.71/1.96 (step @p13432 :rule refl :args (@t3574)) % 1.71/1.96 (step @p13433 :rule cong :premises (@p13432 @p973) :args (@t3575)) % 1.71/1.96 (step @p13434 :rule trans :premises (@p13433 @p13431)) % 1.71/1.96 (step @p13435 :rule ho_cong :premises (@p1628 @p13432)) % 1.71/1.96 (step @p13436 :rule ho_cong :premises (@p13435 @p973)) % 1.71/1.96 (step @p13437 :rule cong :premises (@p13436 @p13434) :args ((= (_ @t7556 @t2) @t3575))) % 1.71/1.96 (step @p13438 :rule symm :premises (@p13437)) % 1.71/1.96 (step @p13439 :rule refl :args (@t58)) % 1.71/1.96 (step @p13440 :rule eq_resolve :premises (@p13439 @p13438)) % 1.71/1.96 (step @p13441 :rule refl :args (@t51)) % 1.71/1.96 (step @p13442 :rule cong :premises (@p13441 @p13432) :args ((= @t51 @t3574))) % 1.71/1.96 (step @p13443 :rule symm :premises (@p13442)) % 1.71/1.96 (step @p13444 :rule eq_resolve :premises (@p13441 @p13443)) % 1.71/1.96 (step @p13445 :rule ho_cong :premises (@p1628 @p13444)) % 1.71/1.96 (step @p13446 :rule ho_cong :premises (@p13445 @p973)) % 1.71/1.96 (step @p13447 :rule trans :premises (@p13446 @p13440)) % 1.71/1.96 (step @p13448 :rule nary_cong :premises (@p13425 @p1615 @p13447) :args (@t7557)) % 1.71/1.96 (step @p13449 :rule cong :premises (@p13448) :args ((forall @t9 @t7557))) % 1.71/1.96 (step @p13450 :rule aci_norm :args ((= (or (or @t7554 @t197) @t58) @t7557))) % 1.71/1.96 (step @p13451 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 1.71/1.96 (step @p13452 :rule nary_cong :premises (@p13451 @p13439) :args ((or (not @t59) @t58))) % 1.71/1.96 (step @p13453 :rule trans :premises (@p13452 @p13450)) % 1.71/1.96 (step @p13454 :rule bool-impl-elim :args (@t59 @t58)) % 1.71/1.96 (step @p13455 :rule trans :premises (@p13454 @p13453)) % 1.71/1.96 (step @p13456 :rule cong :premises (@p13455) :args (@t60)) % 1.71/1.96 (step @p13457 :rule trans :premises (@p13456 @p13449)) % 1.71/1.96 (step @p13458 :rule refl :args (@t61)) % 1.71/1.96 (step @p13459 :rule nary_cong :premises (@p13458 @p13457) :args (@t62)) % 1.71/1.96 (step @p13460 :rule cong :premises (@p13459 @p13430) :args (@t63)) % 1.71/1.96 (step @p13461 :rule cong :premises (@p13460) :args (@t65)) % 1.71/1.96 (step @p13462 :rule trans :premises (@p13461 @p13419)) % 1.71/1.96 (step @p13463 :rule refl :args (tptp.omegaIndAx)) % 1.71/1.96 (step @p13464 :rule cong :premises (@p13463 @p13462) :args (@t66)) % 1.71/1.96 (step @p13465 :rule eq_resolve :premises (@p8 @p13464)) % 1.71/1.96 (step @p13466 :rule cong :premises (@p13465 @p13388) :args (@t7558)) % 1.71/1.96 (step @p13467 :rule refl :args ((tptp.in @t51 tptp.omega))) % 1.71/1.96 (step @p13468 :rule refl :args (tptp.omega)) % 1.71/1.96 (step @p13469 :rule cong :premises (@p13432 @p13468) :args (@t3586)) % 1.71/1.96 (step @p13470 :rule trans :premises (@p13469 @p13467)) % 1.71/1.96 (step @p13471 :rule ho_cong :premises (@p13435 @p13468)) % 1.71/1.96 (step @p13472 :rule cong :premises (@p13471 @p13470) :args ((= (_ @t7556 tptp.omega) @t3586))) % 1.71/1.96 (step @p13473 :rule symm :premises (@p13472)) % 1.71/1.96 (step @p13474 :rule refl :args (@t53)) % 1.71/1.96 (step @p13475 :rule eq_resolve :premises (@p13474 @p13473)) % 1.71/1.96 (step @p13476 :rule ho_cong :premises (@p13445 @p13468)) % 1.71/1.96 (step @p13477 :rule trans :premises (@p13476 @p13475)) % 1.71/1.96 (step @p13478 :rule nary_cong :premises (@p13425 @p13477) :args (@t7559)) % 1.71/1.96 (step @p13479 :rule cong :premises (@p13478) :args ((forall @t9 @t7559))) % 1.71/1.96 (step @p13480 :rule bool-impl-elim :args (@t54 @t53)) % 1.71/1.96 (step @p13481 :rule cong :premises (@p13480) :args (@t55)) % 1.71/1.96 (step @p13482 :rule trans :premises (@p13481 @p13479)) % 1.71/1.96 (step @p13483 :rule refl :args (tptp.omegaSAx)) % 1.71/1.96 (step @p13484 :rule cong :premises (@p13483 @p13482) :args (@t56)) % 1.71/1.96 (step @p13485 :rule eq_resolve :premises (@p7 @p13484)) % 1.71/1.96 (step @p13486 :rule cong :premises (@p13485 @p13466) :args (@t7560)) % 1.71/1.96 (step @p13487 :rule cong :premises (@p6 @p13486) :args (@t7561)) % 1.71/1.96 (step @p13488 :rule eq-symm :args (@t3142 @t3421)) % 1.71/1.96 (step @p13489 :rule cong :premises (@p13488) :args ((forall @t46 (= @t3142 @t3421)))) % 1.71/1.96 (step @p13490 :rule cong :premises (@p9511 @p12337) :args (@t7562)) % 1.71/1.96 (step @p13491 :rule cong :premises (@p13490) :args ((forall @t46 @t7562))) % 1.71/1.96 (step @p13492 :rule trans :premises (@p13491 @p13489)) % 1.71/1.96 (step @p13493 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 1.71/1.96 (step @p13494 :rule cong :premises (@p13493) :args (@t7563)) % 1.71/1.96 (step @p13495 :rule trans :premises (@p13494 @p12370)) % 1.71/1.96 (step @p13496 :rule cong :premises (@p13495) :args (@t7564)) % 1.71/1.96 (step @p13497 :rule exists-elim :args ((= @t42 @t7564))) % 1.71/1.96 (step @p13498 :rule trans :premises (@p13497 @p13496)) % 1.71/1.96 (step @p13499 :rule cong :premises (@p9532 @p13498) :args (@t45)) % 1.71/1.96 (step @p13500 :rule cong :premises (@p13499) :args (@t47)) % 1.71/1.96 (step @p13501 :rule trans :premises (@p13500 @p13492)) % 1.71/1.96 (step @p13502 :rule refl :args (tptp.setunionAx)) % 1.71/1.96 (step @p13503 :rule cong :premises (@p13502 @p13501) :args (@t48)) % 1.71/1.96 (step @p13504 :rule eq_resolve :premises (@p5 @p13503)) % 1.71/1.96 (step @p13505 :rule cong :premises (@p13504 @p13487) :args (@t7565)) % 1.71/1.96 (step @p13506 :rule eq-symm :args (@t3285 @t3432)) % 1.71/1.96 (step @p13507 :rule cong :premises (@p13506) :args ((forall @t12 (= @t3285 @t3432)))) % 1.71/1.96 (step @p13508 :rule refl :args (@t3432)) % 1.71/1.96 (step @p13509 :rule cong :premises (@p10821 @p13508) :args (@t7566)) % 1.71/1.96 (step @p13510 :rule cong :premises (@p13509) :args ((forall @t12 @t7566))) % 1.71/1.96 (step @p13511 :rule trans :premises (@p13510 @p13507)) % 1.71/1.96 (step @p13512 :rule cong :premises (@p12454 @p12458) :args (@t36)) % 1.71/1.96 (step @p13513 :rule cong :premises (@p13512) :args (@t37)) % 1.71/1.96 (step @p13514 :rule trans :premises (@p13513 @p13511)) % 1.71/1.96 (step @p13515 :rule refl :args (tptp.powersetAx)) % 1.71/1.96 (step @p13516 :rule cong :premises (@p13515 @p13514) :args (@t38)) % 1.71/1.96 (step @p13517 :rule eq_resolve :premises (@p4 @p13516)) % 1.71/1.96 (step @p13518 :rule cong :premises (@p13517 @p13505) :args (@t7567)) % 1.71/1.96 (step @p13519 :rule nary_cong :premises (@p1090 @p1017) :args (@t7309)) % 1.71/1.96 (step @p13520 :rule cong :premises (@p12499 @p13519) :args (@t7568)) % 1.71/1.96 (step @p13521 :rule cong :premises (@p13520) :args ((forall @t28 @t7568))) % 1.71/1.96 (step @p13522 :rule cong :premises (@p12509 @p12508) :args (@t27)) % 1.71/1.96 (step @p13523 :rule cong :premises (@p13522) :args (@t29)) % 1.71/1.96 (step @p13524 :rule trans :premises (@p13523 @p13521)) % 1.71/1.96 (step @p13525 :rule refl :args (tptp.setadjoinAx)) % 1.71/1.96 (step @p13526 :rule cong :premises (@p13525 @p13524) :args (@t30)) % 1.71/1.96 (step @p13527 :rule eq_resolve :premises (@p3 @p13526)) % 1.71/1.96 (step @p13528 :rule cong :premises (@p13527 @p13518) :args (@t7569)) % 1.71/1.96 (step @p13529 :rule refl :args (tptp.emptysetAx)) % 1.71/1.96 (step @p13530 :rule cong :premises (@p13529 @p12806) :args (@t18)) % 1.71/1.96 (step @p13531 :rule eq_resolve :premises (@p2 @p13530)) % 1.71/1.96 (step @p13532 :rule cong :premises (@p13531 @p13528) :args (@t7570)) % 1.71/1.96 (step @p13533 :rule bool-impl-elim :args (@t3599 @t3)) % 1.71/1.96 (step @p13534 :rule cong :premises (@p13533) :args ((forall @t12 (=> @t3599 @t3)))) % 1.71/1.96 (step @p13535 :rule eq-symm :args (@t2356 @t2179)) % 1.71/1.96 (step @p13536 :rule cong :premises (@p13535) :args ((forall @t9 (= @t2356 @t2179)))) % 1.71/1.96 (step @p13537 :rule cong :premises (@p1614 @p1147) :args (@t8)) % 1.71/1.96 (step @p13538 :rule cong :premises (@p13537) :args (@t10)) % 1.71/1.96 (step @p13539 :rule trans :premises (@p13538 @p13536)) % 1.71/1.96 (step @p13540 :rule cong :premises (@p13539 @p11279) :args (@t11)) % 1.71/1.96 (step @p13541 :rule cong :premises (@p13540) :args (@t13)) % 1.71/1.96 (step @p13542 :rule trans :premises (@p13541 @p13534)) % 1.71/1.96 (step @p13543 :rule refl :args (tptp.setextAx)) % 1.71/1.96 (step @p13544 :rule cong :premises (@p13543 @p13542) :args (@t14)) % 1.71/1.96 (step @p13545 :rule eq_resolve :premises (@p1 @p13544)) % 1.71/1.96 (step @p13546 :rule cong :premises (@p13545 @p13532) :args (@t7571)) % 1.71/1.96 (step @p13547 :rule cong :premises (@p13546) :args ((not @t7571))) % 1.71/1.96 (step @p13548 :rule trans :premises (@p13547 @p831)) % 1.71/1.96 (step @p13549 :rule refl :args ((tptp.in @t882 @t7573))) % 1.71/1.96 (step @p13550 :rule refl :args ((tptp.dsetconstr @t908 @t7572))) % 1.71/1.96 (step @p13551 :rule refl :args (@t2171)) % 1.71/1.96 (step @p13552 :rule cong :premises (@p976 @p13551) :args (@t2172)) % 1.71/1.96 (step @p13553 :rule cong :premises (@p13552) :args (@t2173)) % 1.71/1.96 (step @p13554 :rule cong :premises (@p1013) :args (@t2175)) % 1.71/1.96 (step @p13555 :rule nary_cong :premises (@p13554 @p13553) :args (@t2176)) % 1.71/1.96 (step @p13556 :rule cong :premises (@p13555) :args (@t2177)) % 1.71/1.96 (step @p13557 :rule cong :premises (@p13556) :args (@t2178)) % 1.71/1.96 (step @p13558 :rule cong :premises (@p1143) :args (@t2180)) % 1.71/1.96 (step @p13559 :rule nary_cong :premises (@p13558 @p13557) :args (@t2181)) % 1.71/1.96 (step @p13560 :rule cong :premises (@p13559) :args (@t2182)) % 1.71/1.96 (step @p13561 :rule cong :premises (@p13560) :args (@t2184)) % 1.71/1.96 (step @p13562 :rule cong :premises (@p866 @p13561) :args (@t2185)) % 1.71/1.96 (step @p13563 :rule trans :premises (@p13562 @p13550)) % 1.71/1.96 (step @p13564 :rule cong :premises (@p840 @p13563) :args (@t2186)) % 1.71/1.96 (step @p13565 :rule trans :premises (@p13564 @p13549)) % 1.71/1.96 (step @p13566 :rule ho_cong :premises (@p843 @p13563)) % 1.71/1.96 (step @p13567 :rule cong :premises (@p13566 @p13565) :args ((= (_ @t909 @t2185) @t2186))) % 1.71/1.96 (step @p13568 :rule symm :premises (@p13567)) % 1.71/1.96 (step @p13569 :rule refl :args ((_ @t909 @t7573))) % 1.71/1.96 (step @p13570 :rule eq_resolve :premises (@p13569 @p13568)) % 1.71/1.96 (step @p13571 :rule ho_cong :premises (@p8847 @p866)) % 1.71/1.96 (step @p13572 :rule ho_cong :premises (@p13571 @p13561)) % 1.71/1.96 (step @p13573 :rule cong :premises (@p13572 @p13563) :args ((= (_ (_ tptp.dsetconstr @t2168) @t2184) @t2185))) % 1.71/1.96 (step @p13574 :rule symm :premises (@p13573)) % 1.71/1.96 (step @p13575 :rule refl :args (@t7573)) % 1.71/1.96 (step @p13576 :rule eq_resolve :premises (@p13575 @p13574)) % 1.71/1.96 (step @p13577 :rule refl :args (@t2184)) % 1.71/1.96 (step @p13578 :rule ho_cong :premises (@p8847 @p877)) % 1.71/1.96 (step @p13579 :rule ho_cong :premises (@p13578 @p13577)) % 1.71/1.96 (step @p13580 :rule trans :premises (@p13579 @p13576)) % 1.71/1.96 (step @p13581 :rule ho_cong :premises (@p843 @p13580)) % 1.71/1.96 (step @p13582 :rule trans :premises (@p13581 @p13570)) % 1.71/1.96 (step @p13583 :rule cong :premises (@p13582) :args (@t7575)) % 1.71/1.96 (step @p13584 :rule nary_cong :premises (@p13583 @p879) :args (@t7576)) % 1.71/1.96 (step @p13585 :rule cong :premises (@p13584) :args ((forall @t891 @t7576))) % 1.71/1.96 (step @p13586 :rule bool-impl-elim :args (@t7574 @t910)) % 1.71/1.96 (step @p13587 :rule cong :premises (@p13586) :args ((forall @t891 (=> @t7574 @t910)))) % 1.71/1.96 (step @p13588 :rule trans :premises (@p13587 @p13585)) % 1.71/1.96 (step @p13589 :rule alpha_equiv :args (@t7580 (@list @t882) (@list @t2170))) % 1.71/1.96 (step @p13590 :rule refl :args (@t2166)) % 1.71/1.96 (step @p13591 :rule ho_cong :premises (@p13590 @p13589)) % 1.71/1.96 (step @p13592 :rule ho_cong :premises (@p843 @p13591)) % 1.71/1.96 (step @p13593 :rule cong :premises (@p13592 @p872) :args (@t7582)) % 1.71/1.96 (step @p13594 :rule cong :premises (@p13593) :args ((forall @t891 @t7582))) % 1.71/1.96 (step @p13595 :rule trans :premises (@p13594 @p13588)) % 1.71/1.96 (step @p13596 :rule beta-reduce :args ((= (_ @t7583 @t1) @t7581))) % 1.71/1.96 (step @p13597 :rule beta-reduce :args ((= @t7584 @t7583))) % 1.71/1.96 (step @p13598 :rule ho_cong :premises (@p13597 @p7194)) % 1.71/1.96 (step @p13599 :rule trans :premises (@p13598 @p13596)) % 1.71/1.96 (step @p13600 :rule refl :args (@t909)) % 1.71/1.96 (step @p13601 :rule ho_cong :premises (@p13600 @p13599)) % 1.71/1.96 (step @p13602 :rule cong :premises (@p13601 @p7169) :args (@t7585)) % 1.71/1.96 (step @p13603 :rule cong :premises (@p13602) :args (@t7586)) % 1.71/1.96 (step @p13604 :rule trans :premises (@p13603 @p13595)) % 1.71/1.96 (step @p13605 :rule cong :premises (@p861 @p13604) :args (@t7587)) % 1.71/1.96 (step @p13606 :rule cong :premises (@p901 @p13605) :args (@t7588)) % 1.71/1.96 (step @p13607 :rule cong :premises (@p923 @p13606) :args (@t7589)) % 1.71/1.96 (step @p13608 :rule cong :premises (@p1030 @p13607) :args (@t7590)) % 1.71/1.96 (step @p13609 :rule cong :premises (@p1049 @p13608) :args (@t7591)) % 1.71/1.96 (step @p13610 :rule cong :premises (@p1067 @p13609) :args (@t7592)) % 1.71/1.96 (step @p13611 :rule cong :premises (@p1159 @p13610) :args (@t7593)) % 1.71/1.96 (step @p13612 :rule cong :premises (@p1204 @p13611) :args (@t7594)) % 1.71/1.96 (step @p13613 :rule cong :premises (@p1368 @p13612) :args (@t7595)) % 1.71/1.96 (step @p13614 :rule cong :premises (@p1442 @p13613) :args (@t7596)) % 1.71/1.96 (step @p13615 :rule cong :premises (@p1500 @p13614) :args (@t7597)) % 1.71/1.96 (step @p13616 :rule cong :premises (@p1521 @p13615) :args (@t7598)) % 1.71/1.96 (step @p13617 :rule cong :premises (@p1557 @p13616) :args (@t7599)) % 1.71/1.96 (step @p13618 :rule cong :premises (@p1739 @p13617) :args (@t7600)) % 1.71/1.96 (step @p13619 :rule cong :premises (@p1764 @p13618) :args (@t7601)) % 1.71/1.96 (step @p13620 :rule cong :premises (@p1847 @p13619) :args (@t7602)) % 1.71/1.96 (step @p13621 :rule cong :premises (@p1924 @p13620) :args (@t7603)) % 1.71/1.96 (step @p13622 :rule cong :premises (@p2001 @p13621) :args (@t7604)) % 1.71/1.96 (step @p13623 :rule cong :premises (@p2042 @p13622) :args (@t7605)) % 1.71/1.96 (step @p13624 :rule cong :premises (@p2225 @p13623) :args (@t7606)) % 1.71/1.96 (step @p13625 :rule cong :premises (@p2253 @p13624) :args (@t7607)) % 1.71/1.96 (step @p13626 :rule cong :premises (@p2364 @p13625) :args (@t7608)) % 1.71/1.96 (step @p13627 :rule cong :premises (@p2404 @p13626) :args (@t7609)) % 1.71/1.96 (step @p13628 :rule cong :premises (@p2478 @p13627) :args (@t7610)) % 1.71/1.96 (step @p13629 :rule cong :premises (@p2534 @p13628) :args (@t7611)) % 1.71/1.96 (step @p13630 :rule cong :premises (@p2553 @p13629) :args (@t7612)) % 1.71/1.96 (step @p13631 :rule cong :premises (@p2665 @p13630) :args (@t7613)) % 1.71/1.96 (step @p13632 :rule cong :premises (@p2710 @p13631) :args (@t7614)) % 1.71/1.96 (step @p13633 :rule cong :premises (@p2715 @p13632) :args (@t7615)) % 1.71/1.96 (step @p13634 :rule cong :premises (@p2848 @p13633) :args (@t7616)) % 1.71/1.96 (step @p13635 :rule cong :premises (@p3036 @p13634) :args (@t7617)) % 1.71/1.96 (step @p13636 :rule cong :premises (@p3061 @p13635) :args (@t7618)) % 1.71/1.96 (step @p13637 :rule cong :premises (@p3065 @p13636) :args (@t7619)) % 1.71/1.96 (step @p13638 :rule cong :premises (@p3070 @p13637) :args (@t7620)) % 1.71/1.96 (step @p13639 :rule cong :premises (@p3181 @p13638) :args (@t7621)) % 1.71/1.96 (step @p13640 :rule cong :premises (@p3249 @p13639) :args (@t7622)) % 1.71/1.96 (step @p13641 :rule cong :premises (@p3525 @p13640) :args (@t7623)) % 1.71/1.96 (step @p13642 :rule cong :premises (@p3530 @p13641) :args (@t7624)) % 1.71/1.96 (step @p13643 :rule cong :premises (@p3715 @p13642) :args (@t7625)) % 1.71/1.96 (step @p13644 :rule cong :premises (@p3809 @p13643) :args (@t7626)) % 1.71/1.96 (step @p13645 :rule cong :premises (@p3881 @p13644) :args (@t7627)) % 1.71/1.96 (step @p13646 :rule cong :premises (@p3937 @p13645) :args (@t7628)) % 1.71/1.96 (step @p13647 :rule cong :premises (@p3999 @p13646) :args (@t7629)) % 1.71/1.96 (step @p13648 :rule cong :premises (@p4030 @p13647) :args (@t7630)) % 1.71/1.96 (step @p13649 :rule cong :premises (@p4108 @p13648) :args (@t7631)) % 1.71/1.96 (step @p13650 :rule cong :premises (@p4192 @p13649) :args (@t7632)) % 1.71/1.96 (step @p13651 :rule cong :premises (@p4249 @p13650) :args (@t7633)) % 1.71/1.96 (step @p13652 :rule cong :premises (@p4292 @p13651) :args (@t7634)) % 1.71/1.96 (step @p13653 :rule cong :premises (@p4369 @p13652) :args (@t7635)) % 1.71/1.96 (step @p13654 :rule cong :premises (@p4426 @p13653) :args (@t7636)) % 1.71/1.96 (step @p13655 :rule cong :premises (@p4482 @p13654) :args (@t7637)) % 1.71/1.96 (step @p13656 :rule cong :premises (@p4486 @p13655) :args (@t7638)) % 1.71/1.96 (step @p13657 :rule cong :premises (@p4491 @p13656) :args (@t7639)) % 1.71/1.96 (step @p13658 :rule cong :premises (@p4636 @p13657) :args (@t7640)) % 1.71/1.96 (step @p13659 :rule cong :premises (@p4738 @p13658) :args (@t7641)) % 1.71/1.96 (step @p13660 :rule cong :premises (@p4742 @p13659) :args (@t7642)) % 1.71/1.96 (step @p13661 :rule cong :premises (@p4799 @p13660) :args (@t7643)) % 1.71/1.96 (step @p13662 :rule cong :premises (@p4803 @p13661) :args (@t7644)) % 1.71/1.96 (step @p13663 :rule cong :premises (@p4890 @p13662) :args (@t7645)) % 1.71/1.96 (step @p13664 :rule cong :premises (@p4977 @p13663) :args (@t7646)) % 1.71/1.96 (step @p13665 :rule cong :premises (@p5064 @p13664) :args (@t7647)) % 1.71/1.96 (step @p13666 :rule cong :premises (@p5125 @p13665) :args (@t7648)) % 1.71/1.96 (step @p13667 :rule cong :premises (@p5184 @p13666) :args (@t7649)) % 1.71/1.96 (step @p13668 :rule cong :premises (@p5188 @p13667) :args (@t7650)) % 1.71/1.96 (step @p13669 :rule cong :premises (@p5252 @p13668) :args (@t7651)) % 1.71/1.96 (step @p13670 :rule cong :premises (@p5256 @p13669) :args (@t7652)) % 1.71/1.96 (step @p13671 :rule cong :premises (@p5298 @p13670) :args (@t7653)) % 1.71/1.96 (step @p13672 :rule cong :premises (@p5354 @p13671) :args (@t7654)) % 1.71/1.96 (step @p13673 :rule cong :premises (@p5410 @p13672) :args (@t7655)) % 1.71/1.96 (step @p13674 :rule cong :premises (@p5430 @p13673) :args (@t7656)) % 1.71/1.96 (step @p13675 :rule cong :premises (@p5451 @p13674) :args (@t7657)) % 1.71/1.96 (step @p13676 :rule cong :premises (@p5470 @p13675) :args (@t7658)) % 1.71/1.96 (step @p13677 :rule cong :premises (@p5516 @p13676) :args (@t7659)) % 1.71/1.96 (step @p13678 :rule cong :premises (@p5551 @p13677) :args (@t7660)) % 1.71/1.96 (step @p13679 :rule cong :premises (@p5599 @p13678) :args (@t7661)) % 1.71/1.96 (step @p13680 :rule cong :premises (@p5634 @p13679) :args (@t7662)) % 1.71/1.96 (step @p13681 :rule cong :premises (@p5705 @p13680) :args (@t7663)) % 1.71/1.96 (step @p13682 :rule cong :premises (@p5776 @p13681) :args (@t7664)) % 1.71/1.96 (step @p13683 :rule cong :premises (@p5835 @p13682) :args (@t7665)) % 1.71/1.96 (step @p13684 :rule cong :premises (@p5893 @p13683) :args (@t7666)) % 1.71/1.96 (step @p13685 :rule cong :premises (@p5931 @p13684) :args (@t7667)) % 1.71/1.96 (step @p13686 :rule cong :premises (@p5966 @p13685) :args (@t7668)) % 1.71/1.96 (step @p13687 :rule cong :premises (@p6054 @p13686) :args (@t7669)) % 1.71/1.96 (step @p13688 :rule cong :premises (@p6102 @p13687) :args (@t7670)) % 1.71/1.96 (step @p13689 :rule cong :premises (@p6142 @p13688) :args (@t7671)) % 1.71/1.96 (step @p13690 :rule cong :premises (@p6200 @p13689) :args (@t7672)) % 1.71/1.96 (step @p13691 :rule cong :premises (@p6219 @p13690) :args (@t7673)) % 1.71/1.96 (step @p13692 :rule cong :premises (@p6266 @p13691) :args (@t7674)) % 1.71/1.96 (step @p13693 :rule cong :premises (@p6302 @p13692) :args (@t7675)) % 1.71/1.96 (step @p13694 :rule cong :premises (@p6344 @p13693) :args (@t7676)) % 1.71/1.96 (step @p13695 :rule cong :premises (@p6384 @p13694) :args (@t7677)) % 1.71/1.96 (step @p13696 :rule cong :premises (@p6447 @p13695) :args (@t7678)) % 1.71/1.96 (step @p13697 :rule cong :premises (@p6517 @p13696) :args (@t7679)) % 1.71/1.96 (step @p13698 :rule cong :premises (@p6590 @p13697) :args (@t7680)) % 1.71/1.96 (step @p13699 :rule cong :premises (@p6644 @p13698) :args (@t7681)) % 1.71/1.96 (step @p13700 :rule cong :premises (@p6684 @p13699) :args (@t7682)) % 1.71/1.96 (step @p13701 :rule cong :premises (@p6751 @p13700) :args (@t7683)) % 1.71/1.96 (step @p13702 :rule cong :premises (@p6848 @p13701) :args (@t7684)) % 1.71/1.96 (step @p13703 :rule cong :premises (@p6944 @p13702) :args (@t7685)) % 1.71/1.96 (step @p13704 :rule cong :premises (@p7039 @p13703) :args (@t7686)) % 1.71/1.96 (step @p13705 :rule cong :premises (@p7140 @p13704) :args (@t7687)) % 1.71/1.96 (step @p13706 :rule cong :premises (@p7173 @p13705) :args (@t7688)) % 1.71/1.96 (step @p13707 :rule cong :premises (@p7178 @p13706) :args (@t7689)) % 1.71/1.96 (step @p13708 :rule cong :premises (@p7275 @p13707) :args (@t7690)) % 1.71/1.96 (step @p13709 :rule cong :premises (@p7296 @p13708) :args (@t7691)) % 1.71/1.96 (step @p13710 :rule cong :premises (@p7300 @p13709) :args (@t7692)) % 1.71/1.96 (step @p13711 :rule cong :premises (@p7319 @p13710) :args (@t7693)) % 1.71/1.96 (step @p13712 :rule cong :premises (@p7332 @p13711) :args (@t7694)) % 1.71/1.96 (step @p13713 :rule cong :premises (@p7403 @p13712) :args (@t7695)) % 1.71/1.96 (step @p13714 :rule cong :premises (@p7449 @p13713) :args (@t7696)) % 1.71/1.96 (step @p13715 :rule cong :premises (@p7573 @p13714) :args (@t7697)) % 1.71/1.96 (step @p13716 :rule cong :premises (@p7612 @p13715) :args (@t7698)) % 1.71/1.96 (step @p13717 :rule cong :premises (@p7699 @p13716) :args (@t7699)) % 1.71/1.96 (step @p13718 :rule cong :premises (@p7794 @p13717) :args (@t7700)) % 1.71/1.96 (step @p13719 :rule cong :premises (@p7825 @p13718) :args (@t7701)) % 1.71/1.96 (step @p13720 :rule cong :premises (@p7878 @p13719) :args (@t7702)) % 1.71/1.96 (step @p13721 :rule cong :premises (@p7902 @p13720) :args (@t7703)) % 1.71/1.96 (step @p13722 :rule cong :premises (@p7996 @p13721) :args (@t7704)) % 1.71/1.96 (step @p13723 :rule cong :premises (@p8001 @p13722) :args (@t7705)) % 1.71/1.96 (step @p13724 :rule cong :premises (@p8077 @p13723) :args (@t7706)) % 1.71/1.96 (step @p13725 :rule cong :premises (@p8122 @p13724) :args (@t7707)) % 1.71/1.96 (step @p13726 :rule cong :premises (@p8150 @p13725) :args (@t7708)) % 1.71/1.96 (step @p13727 :rule cong :premises (@p8193 @p13726) :args (@t7709)) % 1.71/1.96 (step @p13728 :rule cong :premises (@p8202 @p13727) :args (@t7710)) % 1.71/1.96 (step @p13729 :rule cong :premises (@p8244 @p13728) :args (@t7711)) % 1.71/1.96 (step @p13730 :rule cong :premises (@p8253 @p13729) :args (@t7712)) % 1.71/1.96 (step @p13731 :rule cong :premises (@p8277 @p13730) :args (@t7713)) % 1.71/1.96 (step @p13732 :rule cong :premises (@p8342 @p13731) :args (@t7714)) % 1.71/1.96 (step @p13733 :rule cong :premises (@p8382 @p13732) :args (@t7715)) % 1.71/1.96 (step @p13734 :rule cong :premises (@p8428 @p13733) :args (@t7716)) % 1.71/1.96 (step @p13735 :rule cong :premises (@p8441 @p13734) :args (@t7717)) % 1.71/1.96 (step @p13736 :rule cong :premises (@p8454 @p13735) :args (@t7718)) % 1.71/1.96 (step @p13737 :rule cong :premises (@p8492 @p13736) :args (@t7719)) % 1.71/1.96 (step @p13738 :rule cong :premises (@p8522 @p13737) :args (@t7720)) % 1.71/1.96 (step @p13739 :rule cong :premises (@p8548 @p13738) :args (@t7721)) % 1.71/1.96 (step @p13740 :rule cong :premises (@p8587 @p13739) :args (@t7722)) % 1.71/1.96 (step @p13741 :rule cong :premises (@p8638 @p13740) :args (@t7723)) % 1.71/1.96 (step @p13742 :rule cong :premises (@p8684 @p13741) :args (@t7724)) % 1.71/1.96 (step @p13743 :rule cong :premises (@p8730 @p13742) :args (@t7725)) % 1.71/1.96 (step @p13744 :rule cong :premises (@p8748 @p13743) :args (@t7726)) % 1.71/1.96 (step @p13745 :rule cong :premises (@p8770 @p13744) :args (@t7727)) % 1.71/1.96 (step @p13746 :rule cong :premises (@p8779 @p13745) :args (@t7728)) % 1.71/1.96 (step @p13747 :rule cong :premises (@p8800 @p13746) :args (@t7729)) % 1.71/1.96 (step @p13748 :rule cong :premises (@p8819 @p13747) :args (@t7730)) % 1.71/1.96 (step @p13749 :rule cong :premises (@p8826 @p13748) :args (@t7731)) % 1.71/1.96 (step @p13750 :rule cong :premises (@p8877 @p13749) :args (@t7732)) % 1.71/1.96 (step @p13751 :rule cong :premises (@p8894 @p13750) :args (@t7733)) % 1.71/1.96 (step @p13752 :rule cong :premises (@p8976 @p13751) :args (@t7734)) % 1.71/1.96 (step @p13753 :rule cong :premises (@p8987 @p13752) :args (@t7735)) % 1.71/1.96 (step @p13754 :rule cong :premises (@p9023 @p13753) :args (@t7736)) % 1.71/1.96 (step @p13755 :rule cong :premises (@p9063 @p13754) :args (@t7737)) % 1.71/1.96 (step @p13756 :rule cong :premises (@p9093 @p13755) :args (@t7738)) % 1.71/1.96 (step @p13757 :rule cong :premises (@p9103 @p13756) :args (@t7739)) % 1.71/1.96 (step @p13758 :rule cong :premises (@p9112 @p13757) :args (@t7740)) % 1.71/1.96 (step @p13759 :rule cong :premises (@p9133 @p13758) :args (@t7741)) % 1.71/1.96 (step @p13760 :rule cong :premises (@p9140 @p13759) :args (@t7742)) % 1.71/1.96 (step @p13761 :rule cong :premises (@p9161 @p13760) :args (@t7743)) % 1.71/1.96 (step @p13762 :rule cong :premises (@p9204 @p13761) :args (@t7744)) % 1.71/1.96 (step @p13763 :rule cong :premises (@p9226 @p13762) :args (@t7745)) % 1.71/1.96 (step @p13764 :rule cong :premises (@p9241 @p13763) :args (@t7746)) % 1.71/1.96 (step @p13765 :rule cong :premises (@p9290 @p13764) :args (@t7747)) % 1.71/1.96 (step @p13766 :rule cong :premises (@p9348 @p13765) :args (@t7748)) % 1.71/1.96 (step @p13767 :rule cong :premises (@p9365 @p13766) :args (@t7749)) % 1.71/1.96 (step @p13768 :rule cong :premises (@p9425 @p13767) :args (@t7750)) % 1.71/1.96 (step @p13769 :rule cong :premises (@p9444 @p13768) :args (@t7751)) % 1.71/1.96 (step @p13770 :rule cong :premises (@p9475 @p13769) :args (@t7752)) % 1.71/1.96 (step @p13771 :rule cong :premises (@p9492 @p13770) :args (@t7753)) % 1.71/1.96 (step @p13772 :rule cong :premises (@p9536 @p13771) :args (@t7754)) % 1.71/1.96 (step @p13773 :rule cong :premises (@p9545 @p13772) :args (@t7755)) % 1.71/1.96 (step @p13774 :rule cong :premises (@p9595 @p13773) :args (@t7756)) % 1.71/1.96 (step @p13775 :rule cong :premises (@p9625 @p13774) :args (@t7757)) % 1.71/1.96 (step @p13776 :rule cong :premises (@p9690 @p13775) :args (@t7758)) % 1.71/1.96 (step @p13777 :rule cong :premises (@p9732 @p13776) :args (@t7759)) % 1.71/1.96 (step @p13778 :rule cong :premises (@p9774 @p13777) :args (@t7760)) % 1.71/1.96 (step @p13779 :rule cong :premises (@p9816 @p13778) :args (@t7761)) % 1.71/1.96 (step @p13780 :rule cong :premises (@p9858 @p13779) :args (@t7762)) % 1.71/1.96 (step @p13781 :rule cong :premises (@p9863 @p13780) :args (@t7763)) % 1.71/1.96 (step @p13782 :rule cong :premises (@p9910 @p13781) :args (@t7764)) % 1.71/1.96 (step @p13783 :rule cong :premises (@p9929 @p13782) :args (@t7765)) % 1.71/1.96 (step @p13784 :rule cong :premises (@p9950 @p13783) :args (@t7766)) % 1.71/1.96 (step @p13785 :rule cong :premises (@p9966 @p13784) :args (@t7767)) % 1.71/1.96 (step @p13786 :rule cong :premises (@p9981 @p13785) :args (@t7768)) % 1.71/1.96 (step @p13787 :rule cong :premises (@p10006 @p13786) :args (@t7769)) % 1.71/1.96 (step @p13788 :rule cong :premises (@p10021 @p13787) :args (@t7770)) % 1.71/1.96 (step @p13789 :rule cong :premises (@p10026 @p13788) :args (@t7771)) % 1.71/1.96 (step @p13790 :rule cong :premises (@p10078 @p13789) :args (@t7772)) % 1.71/1.96 (step @p13791 :rule cong :premises (@p10093 @p13790) :args (@t7773)) % 1.71/1.96 (step @p13792 :rule cong :premises (@p10110 @p13791) :args (@t7774)) % 1.71/1.96 (step @p13793 :rule cong :premises (@p10126 @p13792) :args (@t7775)) % 1.71/1.96 (step @p13794 :rule cong :premises (@p10190 @p13793) :args (@t7776)) % 1.71/1.96 (step @p13795 :rule cong :premises (@p10216 @p13794) :args (@t7777)) % 1.71/1.96 (step @p13796 :rule cong :premises (@p10233 @p13795) :args (@t7778)) % 1.71/1.96 (step @p13797 :rule cong :premises (@p10253 @p13796) :args (@t7779)) % 1.71/1.96 (step @p13798 :rule cong :premises (@p10265 @p13797) :args (@t7780)) % 1.71/1.96 (step @p13799 :rule cong :premises (@p10285 @p13798) :args (@t7781)) % 1.71/1.96 (step @p13800 :rule cong :premises (@p10302 @p13799) :args (@t7782)) % 1.71/1.96 (step @p13801 :rule cong :premises (@p10315 @p13800) :args (@t7783)) % 1.71/1.96 (step @p13802 :rule cong :premises (@p10324 @p13801) :args (@t7784)) % 1.71/1.96 (step @p13803 :rule cong :premises (@p10333 @p13802) :args (@t7785)) % 1.71/1.96 (step @p13804 :rule cong :premises (@p10349 @p13803) :args (@t7786)) % 1.71/1.96 (step @p13805 :rule cong :premises (@p10393 @p13804) :args (@t7787)) % 1.71/1.96 (step @p13806 :rule cong :premises (@p10408 @p13805) :args (@t7788)) % 1.71/1.96 (step @p13807 :rule cong :premises (@p10429 @p13806) :args (@t7789)) % 1.71/1.96 (step @p13808 :rule cong :premises (@p10446 @p13807) :args (@t7790)) % 1.71/1.96 (step @p13809 :rule cong :premises (@p10472 @p13808) :args (@t7791)) % 1.71/1.96 (step @p13810 :rule cong :premises (@p10492 @p13809) :args (@t7792)) % 1.71/1.96 (step @p13811 :rule cong :premises (@p10505 @p13810) :args (@t7793)) % 1.71/1.96 (step @p13812 :rule cong :premises (@p10517 @p13811) :args (@t7794)) % 1.71/1.96 (step @p13813 :rule cong :premises (@p10532 @p13812) :args (@t7795)) % 1.71/1.96 (step @p13814 :rule cong :premises (@p10541 @p13813) :args (@t7796)) % 1.71/1.96 (step @p13815 :rule cong :premises (@p10580 @p13814) :args (@t7797)) % 1.71/1.96 (step @p13816 :rule cong :premises (@p10594 @p13815) :args (@t7798)) % 1.71/1.96 (step @p13817 :rule cong :premises (@p10610 @p13816) :args (@t7799)) % 1.71/1.96 (step @p13818 :rule cong :premises (@p10625 @p13817) :args (@t7800)) % 1.71/1.96 (step @p13819 :rule cong :premises (@p10647 @p13818) :args (@t7801)) % 1.71/1.96 (step @p13820 :rule cong :premises (@p10698 @p13819) :args (@t7802)) % 1.71/1.96 (step @p13821 :rule cong :premises (@p10707 @p13820) :args (@t7803)) % 1.71/1.96 (step @p13822 :rule cong :premises (@p10712 @p13821) :args (@t7804)) % 1.71/1.96 (step @p13823 :rule cong :premises (@p10724 @p13822) :args (@t7805)) % 1.71/1.96 (step @p13824 :rule cong :premises (@p10744 @p13823) :args (@t7806)) % 1.71/1.96 (step @p13825 :rule cong :premises (@p10765 @p13824) :args (@t7807)) % 1.71/1.96 (step @p13826 :rule cong :premises (@p10791 @p13825) :args (@t7808)) % 1.71/1.96 (step @p13827 :rule cong :premises (@p10807 @p13826) :args (@t7809)) % 1.71/1.96 (step @p13828 :rule cong :premises (@p10828 @p13827) :args (@t7810)) % 1.71/1.96 (step @p13829 :rule cong :premises (@p10837 @p13828) :args (@t7811)) % 1.71/1.96 (step @p13830 :rule cong :premises (@p10853 @p13829) :args (@t7812)) % 1.71/1.96 (step @p13831 :rule cong :premises (@p10869 @p13830) :args (@t7813)) % 1.71/1.96 (step @p13832 :rule cong :premises (@p10888 @p13831) :args (@t7814)) % 1.71/1.96 (step @p13833 :rule cong :premises (@p10912 @p13832) :args (@t7815)) % 1.71/1.96 (step @p13834 :rule cong :premises (@p10932 @p13833) :args (@t7816)) % 1.71/1.96 (step @p13835 :rule cong :premises (@p10957 @p13834) :args (@t7817)) % 1.71/1.96 (step @p13836 :rule cong :premises (@p10967 @p13835) :args (@t7818)) % 1.71/1.96 (step @p13837 :rule cong :premises (@p11009 @p13836) :args (@t7819)) % 1.71/1.96 (step @p13838 :rule cong :premises (@p11039 @p13837) :args (@t7820)) % 1.71/1.96 (step @p13839 :rule cong :premises (@p11055 @p13838) :args (@t7821)) % 1.71/1.96 (step @p13840 :rule cong :premises (@p11068 @p13839) :args (@t7822)) % 1.71/1.96 (step @p13841 :rule cong :premises (@p11081 @p13840) :args (@t7823)) % 1.71/1.96 (step @p13842 :rule cong :premises (@p11091 @p13841) :args (@t7824)) % 1.71/1.96 (step @p13843 :rule cong :premises (@p11096 @p13842) :args (@t7825)) % 1.71/1.96 (step @p13844 :rule cong :premises (@p11136 @p13843) :args (@t7826)) % 1.71/1.96 (step @p13845 :rule cong :premises (@p11156 @p13844) :args (@t7827)) % 1.71/1.96 (step @p13846 :rule cong :premises (@p11160 @p13845) :args (@t7828)) % 1.71/1.96 (step @p13847 :rule cong :premises (@p11283 @p13846) :args (@t7829)) % 1.71/1.96 (step @p13848 :rule cong :premises (@p11434 @p13847) :args (@t7830)) % 1.71/1.96 (step @p13849 :rule cong :premises (@p11484 @p13848) :args (@t7831)) % 1.71/1.96 (step @p13850 :rule cong :premises (@p11496 @p13849) :args (@t7832)) % 1.71/1.96 (step @p13851 :rule cong :premises (@p11533 @p13850) :args (@t7833)) % 1.71/1.96 (step @p13852 :rule cong :premises (@p11563 @p13851) :args (@t7834)) % 1.71/1.96 (step @p13853 :rule cong :premises (@p11634 @p13852) :args (@t7835)) % 1.71/1.96 (step @p13854 :rule cong :premises (@p11643 @p13853) :args (@t7836)) % 1.71/1.96 (step @p13855 :rule cong :premises (@p11655 @p13854) :args (@t7837)) % 1.71/1.96 (step @p13856 :rule cong :premises (@p11664 @p13855) :args (@t7838)) % 1.71/1.96 (step @p13857 :rule cong :premises (@p11725 @p13856) :args (@t7839)) % 1.71/1.96 (step @p13858 :rule cong :premises (@p11797 @p13857) :args (@t7840)) % 1.71/1.96 (step @p13859 :rule cong :premises (@p11843 @p13858) :args (@t7841)) % 1.71/1.96 (step @p13860 :rule cong :premises (@p11882 @p13859) :args (@t7842)) % 1.71/1.96 (step @p13861 :rule cong :premises (@p11905 @p13860) :args (@t7843)) % 1.71/1.96 (step @p13862 :rule cong :premises (@p11921 @p13861) :args (@t7844)) % 1.71/1.96 (step @p13863 :rule cong :premises (@p11962 @p13862) :args (@t7845)) % 1.71/1.96 (step @p13864 :rule cong :premises (@p12017 @p13863) :args (@t7846)) % 1.71/1.96 (step @p13865 :rule cong :premises (@p12048 @p13864) :args (@t7847)) % 1.71/1.96 (step @p13866 :rule cong :premises (@p12057 @p13865) :args (@t7848)) % 1.71/1.96 (step @p13867 :rule cong :premises (@p12065 @p13866) :args (@t7849)) % 1.71/1.96 (step @p13868 :rule cong :premises (@p12076 @p13867) :args (@t7850)) % 1.71/1.96 (step @p13869 :rule cong :premises (@p12084 @p13868) :args (@t7851)) % 1.71/1.96 (step @p13870 :rule cong :premises (@p12101 @p13869) :args (@t7852)) % 1.71/1.96 (step @p13871 :rule cong :premises (@p12140 @p13870) :args (@t7853)) % 1.71/1.96 (step @p13872 :rule cong :premises (@p12144 @p13871) :args (@t7854)) % 1.71/1.96 (step @p13873 :rule cong :premises (@p12159 @p13872) :args (@t7855)) % 1.71/1.96 (step @p13874 :rule cong :premises (@p12163 @p13873) :args (@t7856)) % 1.71/1.96 (step @p13875 :rule cong :premises (@p12193 @p13874) :args (@t7857)) % 1.71/1.96 (step @p13876 :rule cong :premises (@p12218 @p13875) :args (@t7858)) % 1.71/1.96 (step @p13877 :rule cong :premises (@p12232 @p13876) :args (@t7859)) % 1.71/1.96 (step @p13878 :rule cong :premises (@p12241 @p13877) :args (@t7860)) % 1.71/1.96 (step @p13879 :rule cong :premises (@p12262 @p13878) :args (@t7861)) % 1.71/1.96 (step @p13880 :rule cong :premises (@p12300 @p13879) :args (@t7862)) % 1.71/1.96 (step @p13881 :rule cong :premises (@p12333 @p13880) :args (@t7863)) % 1.71/1.96 (step @p13882 :rule cong :premises (@p12392 @p13881) :args (@t7864)) % 1.71/1.96 (step @p13883 :rule cong :premises (@p12406 @p13882) :args (@t7865)) % 1.71/1.96 (step @p13884 :rule cong :premises (@p12421 @p13883) :args (@t7866)) % 1.71/1.96 (step @p13885 :rule cong :premises (@p12426 @p13884) :args (@t7867)) % 1.71/1.96 (step @p13886 :rule cong :premises (@p12444 @p13885) :args (@t7868)) % 1.71/1.96 (step @p13887 :rule cong :premises (@p12462 @p13886) :args (@t7869)) % 1.71/1.96 (step @p13888 :rule cong :premises (@p12486 @p13887) :args (@t7870)) % 1.71/1.96 (step @p13889 :rule cong :premises (@p12513 @p13888) :args (@t7871)) % 1.71/1.96 (step @p13890 :rule cong :premises (@p12568 @p13889) :args (@t7872)) % 1.71/1.96 (step @p13891 :rule cong :premises (@p12577 @p13890) :args (@t7873)) % 1.71/1.96 (step @p13892 :rule refl :args (tptp.emptyinunitempty)) % 1.71/1.96 (step @p13893 :rule cong :premises (@p13892 @p13891) :args (@t7874)) % 1.71/1.96 (step @p13894 :rule cong :premises (@p12598 @p13893) :args (@t7875)) % 1.71/1.96 (step @p13895 :rule cong :premises (@p12638 @p13894) :args (@t7876)) % 1.71/1.96 (step @p13896 :rule cong :premises (@p12683 @p13895) :args (@t7877)) % 1.71/1.96 (step @p13897 :rule cong :premises (@p12697 @p13896) :args (@t7878)) % 1.71/1.96 (step @p13898 :rule cong :premises (@p12731 @p13897) :args (@t7879)) % 1.71/1.96 (step @p13899 :rule cong :premises (@p12736 @p13898) :args (@t7880)) % 1.71/1.96 (step @p13900 :rule cong :premises (@p12749 @p13899) :args (@t7881)) % 1.71/1.96 (step @p13901 :rule cong :premises (@p12764 @p13900) :args (@t7882)) % 1.71/1.96 (step @p13902 :rule cong :premises (@p12796 @p13901) :args (@t7883)) % 1.71/1.96 (step @p13903 :rule cong :premises (@p12805 @p13902) :args (@t7884)) % 1.71/1.96 (step @p13904 :rule cong :premises (@p12816 @p13903) :args (@t7885)) % 1.71/1.96 (step @p13905 :rule cong :premises (@p12831 @p13904) :args (@t7886)) % 1.71/1.96 (step @p13906 :rule cong :premises (@p12867 @p13905) :args (@t7887)) % 1.71/1.96 (step @p13907 :rule cong :premises (@p12876 @p13906) :args (@t7888)) % 1.71/1.96 (step @p13908 :rule cong :premises (@p12896 @p13907) :args (@t7889)) % 1.71/1.96 (step @p13909 :rule cong :premises (@p12908 @p13908) :args (@t7890)) % 1.71/1.96 (step @p13910 :rule cong :premises (@p12925 @p13909) :args (@t7891)) % 1.71/1.96 (step @p13911 :rule cong :premises (@p12975 @p13910) :args (@t7892)) % 1.71/1.96 (step @p13912 :rule cong :premises (@p13246 @p13911) :args (@t7893)) % 1.71/1.96 (step @p13913 :rule cong :premises (@p13291 @p13912) :args (@t7894)) % 1.71/1.96 (step @p13914 :rule cong :premises (@p13377 @p13913) :args (@t7895)) % 1.71/1.96 (step @p13915 :rule cong :premises (@p13463 @p13914) :args (@t7896)) % 1.71/1.96 (step @p13916 :rule cong :premises (@p13483 @p13915) :args (@t7897)) % 1.71/1.96 (step @p13917 :rule refl :args (tptp.omega0Ax)) % 1.71/1.96 (step @p13918 :rule cong :premises (@p13917 @p13916) :args (@t7898)) % 1.71/1.96 (step @p13919 :rule cong :premises (@p13502 @p13918) :args (@t7899)) % 1.71/1.96 (step @p13920 :rule cong :premises (@p13515 @p13919) :args (@t7900)) % 1.71/1.96 (step @p13921 :rule cong :premises (@p13525 @p13920) :args (@t7901)) % 1.71/1.96 (step @p13922 :rule cong :premises (@p13529 @p13921) :args (@t7902)) % 1.71/1.96 (step @p13923 :rule cong :premises (@p13543 @p13922) :args (@t7903)) % 1.71/1.96 (step @p13924 :rule cong :premises (@p13923) :args ((not @t7903))) % 1.71/1.96 (step @p13925 :rule beta-reduce :args ((= (_ @t7580 @t882) @t7579))) % 1.71/1.96 (step @p13926 :rule refl :args (@t882)) % 1.71/1.96 (step @p13927 :rule beta-reduce :args ((= (_ @t7904 @t1) @t7580))) % 1.71/1.96 (step @p13928 :rule beta-reduce :args ((= @t7905 @t7904))) % 1.71/1.96 (step @p13929 :rule ho_cong :premises (@p13928 @p7194)) % 1.71/1.96 (step @p13930 :rule trans :premises (@p13929 @p13927)) % 1.71/1.96 (step @p13931 :rule ho_cong :premises (@p13930 @p13926)) % 1.71/1.96 (step @p13932 :rule trans :premises (@p13931 @p13925)) % 1.71/1.96 (step @p13933 :rule cong :premises (@p13932) :args ((lambda @t2164 (_ (_ @t7905 @t1) @t882)))) % 1.71/1.96 (step @p13934 :rule refl :args (@t2166)) % 1.71/1.96 (step @p13935 :rule ho_cong :premises (@p13934 @p13933)) % 1.71/1.96 (step @p13936 :rule refl :args (@t7578)) % 1.71/1.96 (step @p13937 :rule nary_cong :premises (@p10082 @p13936) :args (@t7906)) % 1.71/1.96 (step @p13938 :rule cong :premises (@p13937) :args ((forall @t9 @t7906))) % 1.71/1.96 (step @p13939 :rule bool-impl-elim :args (@t6 @t7578)) % 1.71/1.96 (step @p13940 :rule cong :premises (@p13939) :args ((forall @t9 (=> @t6 @t7578)))) % 1.71/1.96 (step @p13941 :rule trans :premises (@p13940 @p13938)) % 1.71/1.96 (step @p13942 :rule refl :args (@t7577)) % 1.71/1.96 (step @p13943 :rule refl :args (@t2158)) % 1.71/1.96 (step @p13944 :rule cong :premises (@p13943 @p13942) :args ((= @t2158 @t7577))) % 1.71/1.96 (step @p13945 :rule symm :premises (@p13944)) % 1.71/1.96 (step @p13946 :rule eq_resolve :premises (@p13943 @p13945)) % 1.71/1.96 (step @p13947 :rule cong :premises (@p976 @p13946) :args (@t7907)) % 1.71/1.96 (step @p13948 :rule cong :premises (@p13947) :args (@t7908)) % 1.71/1.96 (step @p13949 :rule nary_cong :premises (@p1018 @p13948) :args (@t7909)) % 1.71/1.96 (step @p13950 :rule cong :premises (@p13949) :args ((forall @t70 @t7909))) % 1.71/1.96 (step @p13951 :rule bool-and-de-morgan :args (@t21 @t7907 true)) % 1.71/1.96 (step @p13952 :rule cong :premises (@p13951) :args (@t7911)) % 1.71/1.96 (step @p13953 :rule trans :premises (@p13952 @p13950)) % 1.71/1.96 (step @p13954 :rule cong :premises (@p13953) :args (@t7912)) % 1.71/1.96 (step @p13955 :rule exists-elim :args ((= (exists @t70 @t7910) @t7912))) % 1.71/1.96 (step @p13956 :rule trans :premises (@p13955 @p13954)) % 1.71/1.96 (step @p13957 :rule eq-symm :args (@t2158 @t4)) % 1.71/1.96 (step @p13958 :rule nary_cong :premises (@p1725 @p13957) :args (@t2159)) % 1.71/1.96 (step @p13959 :rule cong :premises (@p13958) :args (@t2160)) % 1.71/1.96 (step @p13960 :rule trans :premises (@p13959 @p13956)) % 1.71/1.96 (step @p13961 :rule cong :premises (@p1150 @p13960) :args (@t2161)) % 1.71/1.96 (step @p13962 :rule cong :premises (@p13961) :args (@t2162)) % 1.71/1.96 (step @p13963 :rule trans :premises (@p13962 @p13941)) % 1.71/1.96 (step @p13964 :rule cong :premises (@p13963) :args (@t2163)) % 1.71/1.96 (step @p13965 :rule trans :premises (@p322 @p13964)) % 1.71/1.96 (step @p13966 :rule ho_cong :premises (@p13965 @p961)) % 1.71/1.96 (step @p13967 :rule ho_cong :premises (@p13966 @p7194)) % 1.71/1.96 (step @p13968 :rule ho_cong :premises (@p13967 @p13926)) % 1.71/1.96 (step @p13969 :rule cong :premises (@p13968) :args (@t2165)) % 1.71/1.96 (step @p13970 :rule ho_cong :premises (@p13934 @p13969)) % 1.71/1.96 (step @p13971 :rule trans :premises (@p13970 @p13935)) % 1.71/1.96 (step @p13972 :rule cong :premises (@p13971) :args (@t2167)) % 1.71/1.96 (step @p13973 :rule trans :premises (@p323 @p13972)) % 1.71/1.96 (step @p13974 :rule ho_cong :premises (@p13973 @p961)) % 1.71/1.96 (step @p13975 :rule ho_cong :premises (@p13974 @p7194)) % 1.71/1.96 (step @p13976 :rule ho_cong :premises (@p13600 @p13975)) % 1.71/1.96 (step @p13977 :rule cong :premises (@p13976 @p7169) :args (@t1836)) % 1.71/1.96 (step @p13978 :rule cong :premises (@p13977) :args (@t1837)) % 1.71/1.96 (step @p13979 :rule cong :premises (@p861 @p13978) :args (@t1838)) % 1.71/1.96 (step @p13980 :rule cong :premises (@p901 @p13979) :args (@t1839)) % 1.71/1.96 (step @p13981 :rule cong :premises (@p923 @p13980) :args (@t1840)) % 1.71/1.96 (step @p13982 :rule cong :premises (@p1030 @p13981) :args (@t1841)) % 1.71/1.96 (step @p13983 :rule cong :premises (@p1049 @p13982) :args (@t1842)) % 1.71/1.96 (step @p13984 :rule cong :premises (@p1067 @p13983) :args (@t1843)) % 1.71/1.96 (step @p13985 :rule cong :premises (@p1159 @p13984) :args (@t1844)) % 1.71/1.96 (step @p13986 :rule cong :premises (@p1204 @p13985) :args (@t1845)) % 1.71/1.96 (step @p13987 :rule cong :premises (@p1368 @p13986) :args (@t1846)) % 1.71/1.96 (step @p13988 :rule cong :premises (@p1442 @p13987) :args (@t1847)) % 1.71/1.96 (step @p13989 :rule cong :premises (@p1500 @p13988) :args (@t1848)) % 1.71/1.96 (step @p13990 :rule cong :premises (@p1521 @p13989) :args (@t1849)) % 1.71/1.96 (step @p13991 :rule cong :premises (@p1557 @p13990) :args (@t1850)) % 1.71/1.96 (step @p13992 :rule cong :premises (@p1739 @p13991) :args (@t1851)) % 1.71/1.96 (step @p13993 :rule cong :premises (@p1764 @p13992) :args (@t1852)) % 1.71/1.96 (step @p13994 :rule cong :premises (@p1847 @p13993) :args (@t1853)) % 1.71/1.96 (step @p13995 :rule cong :premises (@p1924 @p13994) :args (@t1854)) % 1.71/1.96 (step @p13996 :rule cong :premises (@p2001 @p13995) :args (@t1855)) % 1.71/1.96 (step @p13997 :rule cong :premises (@p2042 @p13996) :args (@t1856)) % 1.71/1.96 (step @p13998 :rule cong :premises (@p2225 @p13997) :args (@t1857)) % 1.71/1.96 (step @p13999 :rule cong :premises (@p2253 @p13998) :args (@t1858)) % 1.71/1.96 (step @p14000 :rule cong :premises (@p2364 @p13999) :args (@t1859)) % 1.71/1.96 (step @p14001 :rule cong :premises (@p2404 @p14000) :args (@t1860)) % 1.71/1.96 (step @p14002 :rule cong :premises (@p2478 @p14001) :args (@t1861)) % 1.71/1.96 (step @p14003 :rule cong :premises (@p2534 @p14002) :args (@t1862)) % 1.71/1.96 (step @p14004 :rule cong :premises (@p2553 @p14003) :args (@t1863)) % 1.71/1.96 (step @p14005 :rule cong :premises (@p2665 @p14004) :args (@t1864)) % 1.71/1.96 (step @p14006 :rule cong :premises (@p2710 @p14005) :args (@t1865)) % 1.71/1.96 (step @p14007 :rule cong :premises (@p2715 @p14006) :args (@t1866)) % 1.71/1.96 (step @p14008 :rule cong :premises (@p2848 @p14007) :args (@t1867)) % 1.71/1.96 (step @p14009 :rule cong :premises (@p3036 @p14008) :args (@t1868)) % 1.71/1.96 (step @p14010 :rule cong :premises (@p3061 @p14009) :args (@t1869)) % 1.71/1.96 (step @p14011 :rule cong :premises (@p3065 @p14010) :args (@t1870)) % 1.71/1.96 (step @p14012 :rule cong :premises (@p3070 @p14011) :args (@t1871)) % 1.71/1.96 (step @p14013 :rule cong :premises (@p3181 @p14012) :args (@t1872)) % 1.71/1.96 (step @p14014 :rule cong :premises (@p3249 @p14013) :args (@t1873)) % 1.71/1.96 (step @p14015 :rule cong :premises (@p3525 @p14014) :args (@t1874)) % 1.71/1.96 (step @p14016 :rule cong :premises (@p3530 @p14015) :args (@t1875)) % 1.71/1.96 (step @p14017 :rule cong :premises (@p3715 @p14016) :args (@t1876)) % 1.71/1.96 (step @p14018 :rule cong :premises (@p3809 @p14017) :args (@t1877)) % 1.71/1.96 (step @p14019 :rule cong :premises (@p3881 @p14018) :args (@t1878)) % 1.71/1.96 (step @p14020 :rule cong :premises (@p3937 @p14019) :args (@t1879)) % 1.71/1.96 (step @p14021 :rule cong :premises (@p3999 @p14020) :args (@t1880)) % 1.71/1.96 (step @p14022 :rule cong :premises (@p4030 @p14021) :args (@t1881)) % 1.71/1.96 (step @p14023 :rule cong :premises (@p4108 @p14022) :args (@t1882)) % 1.71/1.96 (step @p14024 :rule cong :premises (@p4192 @p14023) :args (@t1883)) % 1.71/1.96 (step @p14025 :rule cong :premises (@p4249 @p14024) :args (@t1884)) % 1.71/1.96 (step @p14026 :rule cong :premises (@p4292 @p14025) :args (@t1885)) % 1.71/1.96 (step @p14027 :rule cong :premises (@p4369 @p14026) :args (@t1886)) % 1.71/1.96 (step @p14028 :rule cong :premises (@p4426 @p14027) :args (@t1887)) % 1.71/1.96 (step @p14029 :rule cong :premises (@p4482 @p14028) :args (@t1888)) % 1.71/1.96 (step @p14030 :rule cong :premises (@p4486 @p14029) :args (@t1889)) % 1.71/1.96 (step @p14031 :rule cong :premises (@p4491 @p14030) :args (@t1890)) % 1.71/1.96 (step @p14032 :rule cong :premises (@p4636 @p14031) :args (@t1891)) % 1.71/1.96 (step @p14033 :rule cong :premises (@p4738 @p14032) :args (@t1892)) % 1.71/1.96 (step @p14034 :rule cong :premises (@p4742 @p14033) :args (@t1893)) % 1.71/1.96 (step @p14035 :rule cong :premises (@p4799 @p14034) :args (@t1894)) % 1.71/1.96 (step @p14036 :rule cong :premises (@p4803 @p14035) :args (@t1895)) % 1.71/1.96 (step @p14037 :rule cong :premises (@p4890 @p14036) :args (@t1896)) % 1.71/1.96 (step @p14038 :rule cong :premises (@p4977 @p14037) :args (@t1897)) % 1.71/1.96 (step @p14039 :rule cong :premises (@p5064 @p14038) :args (@t1898)) % 1.71/1.96 (step @p14040 :rule cong :premises (@p5125 @p14039) :args (@t1899)) % 1.71/1.96 (step @p14041 :rule cong :premises (@p5184 @p14040) :args (@t1900)) % 1.71/1.96 (step @p14042 :rule cong :premises (@p5188 @p14041) :args (@t1901)) % 1.71/1.96 (step @p14043 :rule cong :premises (@p5252 @p14042) :args (@t1902)) % 1.71/1.96 (step @p14044 :rule cong :premises (@p5256 @p14043) :args (@t1903)) % 1.71/1.96 (step @p14045 :rule cong :premises (@p5298 @p14044) :args (@t1904)) % 1.71/1.96 (step @p14046 :rule cong :premises (@p5354 @p14045) :args (@t1905)) % 1.71/1.96 (step @p14047 :rule cong :premises (@p5410 @p14046) :args (@t1906)) % 1.71/1.96 (step @p14048 :rule cong :premises (@p5430 @p14047) :args (@t1907)) % 1.71/1.96 (step @p14049 :rule cong :premises (@p5451 @p14048) :args (@t1908)) % 1.71/1.96 (step @p14050 :rule cong :premises (@p5470 @p14049) :args (@t1909)) % 1.71/1.96 (step @p14051 :rule cong :premises (@p5516 @p14050) :args (@t1910)) % 1.71/1.96 (step @p14052 :rule cong :premises (@p5551 @p14051) :args (@t1911)) % 1.71/1.96 (step @p14053 :rule cong :premises (@p5599 @p14052) :args (@t1912)) % 1.71/1.96 (step @p14054 :rule cong :premises (@p5634 @p14053) :args (@t1913)) % 1.71/1.96 (step @p14055 :rule cong :premises (@p5705 @p14054) :args (@t1914)) % 1.71/1.96 (step @p14056 :rule cong :premises (@p5776 @p14055) :args (@t1915)) % 1.71/1.96 (step @p14057 :rule cong :premises (@p5835 @p14056) :args (@t1916)) % 1.71/1.96 (step @p14058 :rule cong :premises (@p5893 @p14057) :args (@t1917)) % 1.71/1.96 (step @p14059 :rule cong :premises (@p5931 @p14058) :args (@t1918)) % 1.71/1.96 (step @p14060 :rule cong :premises (@p5966 @p14059) :args (@t1919)) % 1.71/1.96 (step @p14061 :rule cong :premises (@p6054 @p14060) :args (@t1920)) % 1.71/1.96 (step @p14062 :rule cong :premises (@p6102 @p14061) :args (@t1921)) % 1.71/1.96 (step @p14063 :rule cong :premises (@p6142 @p14062) :args (@t1922)) % 1.71/1.96 (step @p14064 :rule cong :premises (@p6200 @p14063) :args (@t1923)) % 1.71/1.96 (step @p14065 :rule cong :premises (@p6219 @p14064) :args (@t1924)) % 1.71/1.96 (step @p14066 :rule cong :premises (@p6266 @p14065) :args (@t1925)) % 1.71/1.96 (step @p14067 :rule cong :premises (@p6302 @p14066) :args (@t1926)) % 1.71/1.96 (step @p14068 :rule cong :premises (@p6344 @p14067) :args (@t1927)) % 1.71/1.96 (step @p14069 :rule cong :premises (@p6384 @p14068) :args (@t1928)) % 1.71/1.96 (step @p14070 :rule cong :premises (@p6447 @p14069) :args (@t1929)) % 1.71/1.96 (step @p14071 :rule cong :premises (@p6517 @p14070) :args (@t1930)) % 1.71/1.96 (step @p14072 :rule cong :premises (@p6590 @p14071) :args (@t1931)) % 1.71/1.96 (step @p14073 :rule cong :premises (@p6644 @p14072) :args (@t1932)) % 1.71/1.96 (step @p14074 :rule cong :premises (@p6684 @p14073) :args (@t1933)) % 1.71/1.96 (step @p14075 :rule cong :premises (@p6751 @p14074) :args (@t1934)) % 1.71/1.96 (step @p14076 :rule cong :premises (@p6848 @p14075) :args (@t1935)) % 1.71/1.96 (step @p14077 :rule cong :premises (@p6944 @p14076) :args (@t1936)) % 1.71/1.96 (step @p14078 :rule cong :premises (@p7039 @p14077) :args (@t1937)) % 1.71/1.96 (step @p14079 :rule cong :premises (@p7140 @p14078) :args (@t1938)) % 1.71/1.96 (step @p14080 :rule cong :premises (@p7173 @p14079) :args (@t1939)) % 1.71/1.96 (step @p14081 :rule cong :premises (@p7178 @p14080) :args (@t1940)) % 1.71/1.96 (step @p14082 :rule cong :premises (@p7275 @p14081) :args (@t1941)) % 1.71/1.96 (step @p14083 :rule cong :premises (@p7296 @p14082) :args (@t1942)) % 1.71/1.96 (step @p14084 :rule cong :premises (@p7300 @p14083) :args (@t1943)) % 1.71/1.96 (step @p14085 :rule cong :premises (@p7319 @p14084) :args (@t1944)) % 1.71/1.96 (step @p14086 :rule cong :premises (@p7332 @p14085) :args (@t1945)) % 1.71/1.96 (step @p14087 :rule cong :premises (@p7403 @p14086) :args (@t1946)) % 1.71/1.96 (step @p14088 :rule cong :premises (@p7449 @p14087) :args (@t1947)) % 1.71/1.96 (step @p14089 :rule cong :premises (@p7573 @p14088) :args (@t1948)) % 1.71/1.96 (step @p14090 :rule cong :premises (@p7612 @p14089) :args (@t1949)) % 1.71/1.96 (step @p14091 :rule cong :premises (@p7699 @p14090) :args (@t1950)) % 1.71/1.96 (step @p14092 :rule cong :premises (@p7794 @p14091) :args (@t1951)) % 1.71/1.96 (step @p14093 :rule cong :premises (@p7825 @p14092) :args (@t1952)) % 1.71/1.96 (step @p14094 :rule cong :premises (@p7878 @p14093) :args (@t1953)) % 1.71/1.96 (step @p14095 :rule cong :premises (@p7902 @p14094) :args (@t1954)) % 1.71/1.96 (step @p14096 :rule cong :premises (@p7996 @p14095) :args (@t1955)) % 1.71/1.96 (step @p14097 :rule cong :premises (@p8001 @p14096) :args (@t1956)) % 1.71/1.96 (step @p14098 :rule cong :premises (@p8077 @p14097) :args (@t1957)) % 1.71/1.96 (step @p14099 :rule cong :premises (@p8122 @p14098) :args (@t1958)) % 1.71/1.96 (step @p14100 :rule cong :premises (@p8150 @p14099) :args (@t1959)) % 1.71/1.96 (step @p14101 :rule cong :premises (@p8193 @p14100) :args (@t1960)) % 1.71/1.96 (step @p14102 :rule cong :premises (@p8202 @p14101) :args (@t1961)) % 1.71/1.96 (step @p14103 :rule cong :premises (@p8244 @p14102) :args (@t1962)) % 1.71/1.96 (step @p14104 :rule cong :premises (@p8253 @p14103) :args (@t1963)) % 1.71/1.96 (step @p14105 :rule cong :premises (@p8277 @p14104) :args (@t1964)) % 1.71/1.96 (step @p14106 :rule cong :premises (@p8342 @p14105) :args (@t1965)) % 1.71/1.96 (step @p14107 :rule cong :premises (@p8382 @p14106) :args (@t1966)) % 1.71/1.96 (step @p14108 :rule cong :premises (@p8428 @p14107) :args (@t1967)) % 1.71/1.96 (step @p14109 :rule cong :premises (@p8441 @p14108) :args (@t1968)) % 1.71/1.96 (step @p14110 :rule cong :premises (@p8454 @p14109) :args (@t1969)) % 1.71/1.96 (step @p14111 :rule cong :premises (@p8492 @p14110) :args (@t1970)) % 1.71/1.96 (step @p14112 :rule cong :premises (@p8522 @p14111) :args (@t1971)) % 1.71/1.96 (step @p14113 :rule cong :premises (@p8548 @p14112) :args (@t1972)) % 1.71/1.96 (step @p14114 :rule cong :premises (@p8587 @p14113) :args (@t1973)) % 1.71/1.96 (step @p14115 :rule cong :premises (@p8638 @p14114) :args (@t1974)) % 1.71/1.96 (step @p14116 :rule cong :premises (@p8684 @p14115) :args (@t1975)) % 1.71/1.96 (step @p14117 :rule cong :premises (@p8730 @p14116) :args (@t1976)) % 1.71/1.96 (step @p14118 :rule cong :premises (@p8748 @p14117) :args (@t1977)) % 1.71/1.96 (step @p14119 :rule cong :premises (@p8770 @p14118) :args (@t1978)) % 1.71/1.96 (step @p14120 :rule cong :premises (@p8779 @p14119) :args (@t1979)) % 1.71/1.96 (step @p14121 :rule cong :premises (@p8800 @p14120) :args (@t1980)) % 1.71/1.96 (step @p14122 :rule cong :premises (@p8819 @p14121) :args (@t1981)) % 1.71/1.96 (step @p14123 :rule cong :premises (@p8826 @p14122) :args (@t1982)) % 1.71/1.96 (step @p14124 :rule cong :premises (@p8877 @p14123) :args (@t1983)) % 1.71/1.96 (step @p14125 :rule cong :premises (@p8894 @p14124) :args (@t1984)) % 1.71/1.96 (step @p14126 :rule cong :premises (@p8976 @p14125) :args (@t1985)) % 1.71/1.96 (step @p14127 :rule cong :premises (@p8987 @p14126) :args (@t1986)) % 1.71/1.96 (step @p14128 :rule cong :premises (@p9023 @p14127) :args (@t1987)) % 1.71/1.96 (step @p14129 :rule cong :premises (@p9063 @p14128) :args (@t1988)) % 1.71/1.96 (step @p14130 :rule cong :premises (@p9093 @p14129) :args (@t1989)) % 1.71/1.96 (step @p14131 :rule cong :premises (@p9103 @p14130) :args (@t1990)) % 1.71/1.96 (step @p14132 :rule cong :premises (@p9112 @p14131) :args (@t1991)) % 1.71/1.96 (step @p14133 :rule cong :premises (@p9133 @p14132) :args (@t1992)) % 1.71/1.96 (step @p14134 :rule cong :premises (@p9140 @p14133) :args (@t1993)) % 1.71/1.96 (step @p14135 :rule cong :premises (@p9161 @p14134) :args (@t1994)) % 1.71/1.96 (step @p14136 :rule cong :premises (@p9204 @p14135) :args (@t1995)) % 1.71/1.96 (step @p14137 :rule cong :premises (@p9226 @p14136) :args (@t1996)) % 1.71/1.96 (step @p14138 :rule cong :premises (@p9241 @p14137) :args (@t1997)) % 1.71/1.96 (step @p14139 :rule cong :premises (@p9290 @p14138) :args (@t1998)) % 1.71/1.96 (step @p14140 :rule cong :premises (@p9348 @p14139) :args (@t1999)) % 1.71/1.96 (step @p14141 :rule cong :premises (@p9365 @p14140) :args (@t2000)) % 1.71/1.96 (step @p14142 :rule cong :premises (@p9425 @p14141) :args (@t2001)) % 1.71/1.96 (step @p14143 :rule cong :premises (@p9444 @p14142) :args (@t2002)) % 1.71/1.96 (step @p14144 :rule cong :premises (@p9475 @p14143) :args (@t2003)) % 1.71/1.96 (step @p14145 :rule cong :premises (@p9492 @p14144) :args (@t2004)) % 1.71/1.96 (step @p14146 :rule cong :premises (@p9536 @p14145) :args (@t2005)) % 1.71/1.96 (step @p14147 :rule cong :premises (@p9545 @p14146) :args (@t2006)) % 1.71/1.96 (step @p14148 :rule cong :premises (@p9595 @p14147) :args (@t2007)) % 1.71/1.96 (step @p14149 :rule cong :premises (@p9625 @p14148) :args (@t2008)) % 1.71/1.96 (step @p14150 :rule cong :premises (@p9690 @p14149) :args (@t2009)) % 1.71/1.96 (step @p14151 :rule cong :premises (@p9732 @p14150) :args (@t2010)) % 1.71/1.96 (step @p14152 :rule cong :premises (@p9774 @p14151) :args (@t2011)) % 1.71/1.96 (step @p14153 :rule cong :premises (@p9816 @p14152) :args (@t2012)) % 1.71/1.96 (step @p14154 :rule cong :premises (@p9858 @p14153) :args (@t2013)) % 1.71/1.96 (step @p14155 :rule cong :premises (@p9863 @p14154) :args (@t2014)) % 1.71/1.96 (step @p14156 :rule cong :premises (@p9910 @p14155) :args (@t2015)) % 1.71/1.96 (step @p14157 :rule cong :premises (@p9929 @p14156) :args (@t2016)) % 1.71/1.96 (step @p14158 :rule cong :premises (@p9950 @p14157) :args (@t2017)) % 1.71/1.96 (step @p14159 :rule cong :premises (@p9966 @p14158) :args (@t2018)) % 1.71/1.96 (step @p14160 :rule cong :premises (@p9981 @p14159) :args (@t2019)) % 1.71/1.96 (step @p14161 :rule cong :premises (@p10006 @p14160) :args (@t2020)) % 1.71/1.96 (step @p14162 :rule cong :premises (@p10021 @p14161) :args (@t2021)) % 1.71/1.96 (step @p14163 :rule cong :premises (@p10026 @p14162) :args (@t2022)) % 1.71/1.96 (step @p14164 :rule cong :premises (@p10078 @p14163) :args (@t2023)) % 1.71/1.96 (step @p14165 :rule cong :premises (@p10093 @p14164) :args (@t2024)) % 1.71/1.96 (step @p14166 :rule cong :premises (@p10110 @p14165) :args (@t2025)) % 1.71/1.96 (step @p14167 :rule cong :premises (@p10126 @p14166) :args (@t2026)) % 1.71/1.96 (step @p14168 :rule cong :premises (@p10190 @p14167) :args (@t2027)) % 1.71/1.96 (step @p14169 :rule cong :premises (@p10216 @p14168) :args (@t2028)) % 1.71/1.96 (step @p14170 :rule cong :premises (@p10233 @p14169) :args (@t2029)) % 1.71/1.96 (step @p14171 :rule cong :premises (@p10253 @p14170) :args (@t2030)) % 1.71/1.96 (step @p14172 :rule cong :premises (@p10265 @p14171) :args (@t2031)) % 1.71/1.96 (step @p14173 :rule cong :premises (@p10285 @p14172) :args (@t2032)) % 1.71/1.96 (step @p14174 :rule cong :premises (@p10302 @p14173) :args (@t2033)) % 1.71/1.96 (step @p14175 :rule cong :premises (@p10315 @p14174) :args (@t2034)) % 1.71/1.96 (step @p14176 :rule cong :premises (@p10324 @p14175) :args (@t2035)) % 1.71/1.96 (step @p14177 :rule cong :premises (@p10333 @p14176) :args (@t2036)) % 1.71/1.96 (step @p14178 :rule cong :premises (@p10349 @p14177) :args (@t2037)) % 1.71/1.96 (step @p14179 :rule cong :premises (@p10393 @p14178) :args (@t2038)) % 1.71/1.96 (step @p14180 :rule cong :premises (@p10408 @p14179) :args (@t2039)) % 1.71/1.96 (step @p14181 :rule cong :premises (@p10429 @p14180) :args (@t2040)) % 1.71/1.96 (step @p14182 :rule cong :premises (@p10446 @p14181) :args (@t2041)) % 1.71/1.96 (step @p14183 :rule cong :premises (@p10472 @p14182) :args (@t2042)) % 1.71/1.96 (step @p14184 :rule cong :premises (@p10492 @p14183) :args (@t2043)) % 1.71/1.96 (step @p14185 :rule cong :premises (@p10505 @p14184) :args (@t2044)) % 1.71/1.96 (step @p14186 :rule cong :premises (@p10517 @p14185) :args (@t2045)) % 1.71/1.96 (step @p14187 :rule cong :premises (@p10532 @p14186) :args (@t2046)) % 1.71/1.96 (step @p14188 :rule cong :premises (@p10541 @p14187) :args (@t2047)) % 1.71/1.96 (step @p14189 :rule cong :premises (@p10580 @p14188) :args (@t2048)) % 1.71/1.96 (step @p14190 :rule cong :premises (@p10594 @p14189) :args (@t2049)) % 1.71/1.96 (step @p14191 :rule cong :premises (@p10610 @p14190) :args (@t2050)) % 1.71/1.96 (step @p14192 :rule cong :premises (@p10625 @p14191) :args (@t2051)) % 1.71/1.96 (step @p14193 :rule cong :premises (@p10647 @p14192) :args (@t2052)) % 1.71/1.96 (step @p14194 :rule cong :premises (@p10698 @p14193) :args (@t2053)) % 1.71/1.96 (step @p14195 :rule cong :premises (@p10707 @p14194) :args (@t2054)) % 1.71/1.96 (step @p14196 :rule cong :premises (@p10712 @p14195) :args (@t2055)) % 1.71/1.96 (step @p14197 :rule cong :premises (@p10724 @p14196) :args (@t2056)) % 1.71/1.96 (step @p14198 :rule cong :premises (@p10744 @p14197) :args (@t2057)) % 1.71/1.96 (step @p14199 :rule cong :premises (@p10765 @p14198) :args (@t2058)) % 1.71/1.96 (step @p14200 :rule cong :premises (@p10791 @p14199) :args (@t2059)) % 1.71/1.96 (step @p14201 :rule cong :premises (@p10807 @p14200) :args (@t2060)) % 1.71/1.96 (step @p14202 :rule cong :premises (@p10828 @p14201) :args (@t2061)) % 1.71/1.96 (step @p14203 :rule cong :premises (@p10837 @p14202) :args (@t2062)) % 1.71/1.96 (step @p14204 :rule cong :premises (@p10853 @p14203) :args (@t2063)) % 1.71/1.96 (step @p14205 :rule cong :premises (@p10869 @p14204) :args (@t2064)) % 1.71/1.96 (step @p14206 :rule cong :premises (@p10888 @p14205) :args (@t2065)) % 1.71/1.96 (step @p14207 :rule cong :premises (@p10912 @p14206) :args (@t2066)) % 1.71/1.96 (step @p14208 :rule cong :premises (@p10932 @p14207) :args (@t2067)) % 1.71/1.96 (step @p14209 :rule cong :premises (@p10957 @p14208) :args (@t2068)) % 1.71/1.96 (step @p14210 :rule cong :premises (@p10967 @p14209) :args (@t2069)) % 1.71/1.96 (step @p14211 :rule cong :premises (@p11009 @p14210) :args (@t2070)) % 1.71/1.96 (step @p14212 :rule cong :premises (@p11039 @p14211) :args (@t2071)) % 1.71/1.96 (step @p14213 :rule cong :premises (@p11055 @p14212) :args (@t2072)) % 1.71/1.96 (step @p14214 :rule cong :premises (@p11068 @p14213) :args (@t2073)) % 1.71/1.96 (step @p14215 :rule cong :premises (@p11081 @p14214) :args (@t2074)) % 1.71/1.96 (step @p14216 :rule cong :premises (@p11091 @p14215) :args (@t2075)) % 1.71/1.96 (step @p14217 :rule cong :premises (@p11096 @p14216) :args (@t2076)) % 1.71/1.96 (step @p14218 :rule cong :premises (@p11136 @p14217) :args (@t2077)) % 1.71/1.96 (step @p14219 :rule cong :premises (@p11156 @p14218) :args (@t2078)) % 1.71/1.96 (step @p14220 :rule cong :premises (@p11160 @p14219) :args (@t2079)) % 1.71/1.96 (step @p14221 :rule cong :premises (@p11283 @p14220) :args (@t2080)) % 1.71/1.96 (step @p14222 :rule cong :premises (@p11434 @p14221) :args (@t2081)) % 1.71/1.96 (step @p14223 :rule cong :premises (@p11484 @p14222) :args (@t2082)) % 1.71/1.96 (step @p14224 :rule cong :premises (@p11496 @p14223) :args (@t2083)) % 1.71/1.96 (step @p14225 :rule cong :premises (@p11533 @p14224) :args (@t2084)) % 1.71/1.96 (step @p14226 :rule cong :premises (@p11563 @p14225) :args (@t2085)) % 1.71/1.96 (step @p14227 :rule cong :premises (@p11634 @p14226) :args (@t2086)) % 1.71/1.96 (step @p14228 :rule cong :premises (@p11643 @p14227) :args (@t2087)) % 1.71/1.96 (step @p14229 :rule cong :premises (@p11655 @p14228) :args (@t2088)) % 1.71/1.96 (step @p14230 :rule cong :premises (@p11664 @p14229) :args (@t2089)) % 1.71/1.96 (step @p14231 :rule cong :premises (@p11725 @p14230) :args (@t2090)) % 1.71/1.96 (step @p14232 :rule cong :premises (@p11797 @p14231) :args (@t2091)) % 1.71/1.96 (step @p14233 :rule cong :premises (@p11843 @p14232) :args (@t2092)) % 1.71/1.96 (step @p14234 :rule cong :premises (@p11882 @p14233) :args (@t2093)) % 1.71/1.96 (step @p14235 :rule cong :premises (@p11905 @p14234) :args (@t2094)) % 1.71/1.96 (step @p14236 :rule cong :premises (@p11921 @p14235) :args (@t2095)) % 1.71/1.96 (step @p14237 :rule cong :premises (@p11962 @p14236) :args (@t2096)) % 1.71/1.96 (step @p14238 :rule cong :premises (@p12017 @p14237) :args (@t2097)) % 1.71/1.96 (step @p14239 :rule cong :premises (@p12048 @p14238) :args (@t2098)) % 1.71/1.96 (step @p14240 :rule cong :premises (@p12057 @p14239) :args (@t2099)) % 1.71/1.96 (step @p14241 :rule cong :premises (@p12065 @p14240) :args (@t2100)) % 1.71/1.96 (step @p14242 :rule cong :premises (@p12076 @p14241) :args (@t2101)) % 1.71/1.96 (step @p14243 :rule cong :premises (@p12084 @p14242) :args (@t2102)) % 1.71/1.96 (step @p14244 :rule cong :premises (@p12101 @p14243) :args (@t2103)) % 1.71/1.96 (step @p14245 :rule cong :premises (@p12140 @p14244) :args (@t2104)) % 1.71/1.96 (step @p14246 :rule cong :premises (@p12144 @p14245) :args (@t2105)) % 1.71/1.96 (step @p14247 :rule cong :premises (@p12159 @p14246) :args (@t2106)) % 1.71/1.96 (step @p14248 :rule cong :premises (@p12163 @p14247) :args (@t2107)) % 1.71/1.96 (step @p14249 :rule cong :premises (@p12193 @p14248) :args (@t2108)) % 1.71/1.96 (step @p14250 :rule cong :premises (@p12218 @p14249) :args (@t2109)) % 1.71/1.96 (step @p14251 :rule cong :premises (@p12232 @p14250) :args (@t2110)) % 1.71/1.96 (step @p14252 :rule cong :premises (@p12241 @p14251) :args (@t2111)) % 1.71/1.96 (step @p14253 :rule cong :premises (@p12262 @p14252) :args (@t2112)) % 1.71/1.96 (step @p14254 :rule cong :premises (@p12300 @p14253) :args (@t2113)) % 1.71/1.96 (step @p14255 :rule cong :premises (@p12333 @p14254) :args (@t2114)) % 1.71/1.96 (step @p14256 :rule cong :premises (@p12392 @p14255) :args (@t2115)) % 1.71/1.96 (step @p14257 :rule cong :premises (@p12406 @p14256) :args (@t2116)) % 1.71/1.96 (step @p14258 :rule cong :premises (@p12421 @p14257) :args (@t2117)) % 1.71/1.96 (step @p14259 :rule cong :premises (@p12426 @p14258) :args (@t2118)) % 1.71/1.96 (step @p14260 :rule cong :premises (@p12444 @p14259) :args (@t2119)) % 1.71/1.96 (step @p14261 :rule cong :premises (@p12462 @p14260) :args (@t2120)) % 1.71/1.96 (step @p14262 :rule cong :premises (@p12486 @p14261) :args (@t2121)) % 1.71/1.96 (step @p14263 :rule cong :premises (@p12513 @p14262) :args (@t2122)) % 1.71/1.96 (step @p14264 :rule cong :premises (@p12568 @p14263) :args (@t2123)) % 1.71/1.96 (step @p14265 :rule cong :premises (@p12577 @p14264) :args (@t2124)) % 1.71/1.96 (step @p14266 :rule cong :premises (@p13892 @p14265) :args (@t2125)) % 1.71/1.96 (step @p14267 :rule cong :premises (@p12598 @p14266) :args (@t2126)) % 1.71/1.96 (step @p14268 :rule cong :premises (@p12638 @p14267) :args (@t2127)) % 1.71/1.96 (step @p14269 :rule cong :premises (@p12683 @p14268) :args (@t2128)) % 1.71/1.96 (step @p14270 :rule cong :premises (@p12697 @p14269) :args (@t2129)) % 1.71/1.96 (step @p14271 :rule cong :premises (@p12731 @p14270) :args (@t2130)) % 1.71/1.96 (step @p14272 :rule cong :premises (@p12736 @p14271) :args (@t2131)) % 1.71/1.96 (step @p14273 :rule cong :premises (@p12749 @p14272) :args (@t2132)) % 1.71/1.96 (step @p14274 :rule cong :premises (@p12764 @p14273) :args (@t2133)) % 1.71/1.96 (step @p14275 :rule cong :premises (@p12796 @p14274) :args (@t2134)) % 1.71/1.96 (step @p14276 :rule cong :premises (@p12805 @p14275) :args (@t2135)) % 1.71/1.96 (step @p14277 :rule cong :premises (@p12816 @p14276) :args (@t2136)) % 1.71/1.96 (step @p14278 :rule cong :premises (@p12831 @p14277) :args (@t2137)) % 1.71/1.96 (step @p14279 :rule cong :premises (@p12867 @p14278) :args (@t2138)) % 1.71/1.96 (step @p14280 :rule cong :premises (@p12876 @p14279) :args (@t2139)) % 1.71/1.96 (step @p14281 :rule cong :premises (@p12896 @p14280) :args (@t2140)) % 1.71/1.96 (step @p14282 :rule cong :premises (@p12908 @p14281) :args (@t2141)) % 1.71/1.96 (step @p14283 :rule cong :premises (@p12925 @p14282) :args (@t2142)) % 1.71/1.96 (step @p14284 :rule cong :premises (@p12975 @p14283) :args (@t2143)) % 1.71/1.96 (step @p14285 :rule cong :premises (@p13246 @p14284) :args (@t2144)) % 1.71/1.96 (step @p14286 :rule cong :premises (@p13291 @p14285) :args (@t2145)) % 1.71/1.96 (step @p14287 :rule cong :premises (@p13377 @p14286) :args (@t2146)) % 1.71/1.96 (step @p14288 :rule cong :premises (@p13463 @p14287) :args (@t2147)) % 1.71/1.96 (step @p14289 :rule cong :premises (@p13483 @p14288) :args (@t2148)) % 1.71/1.96 (step @p14290 :rule cong :premises (@p13917 @p14289) :args (@t2149)) % 1.71/1.96 (step @p14291 :rule cong :premises (@p13502 @p14290) :args (@t2150)) % 1.71/1.96 (step @p14292 :rule cong :premises (@p13515 @p14291) :args (@t2151)) % 1.71/1.96 (step @p14293 :rule cong :premises (@p13525 @p14292) :args (@t2152)) % 1.71/1.96 (step @p14294 :rule cong :premises (@p13529 @p14293) :args (@t2153)) % 1.71/1.96 (step @p14295 :rule cong :premises (@p13543 @p14294) :args (@t2154)) % 1.71/1.96 (step @p14296 :rule cong :premises (@p14295) :args (@t2155)) % 1.71/1.96 (step @p14297 :rule trans :premises (@p14296 @p13924)) % 1.71/1.96 (step @p14298 :rule trans :premises (@p14297 @p13548 @p449)) % 1.71/1.96 (step @p14299 :rule eq_resolve :premises (@p318 @p14298)) % 1.71/1.96 (step @p14300 :rule not_implies_elim2 :premises (@p14299)) % 1.71/1.96 (step @p14301 :rule not_implies_elim2 :premises (@p14300)) % 1.71/1.96 (step @p14302 :rule not_implies_elim2 :premises (@p14301)) % 1.71/1.96 (step @p14303 :rule not_implies_elim2 :premises (@p14302)) % 1.71/1.96 (step @p14304 :rule not_implies_elim2 :premises (@p14303)) % 1.71/1.96 (step @p14305 :rule not_implies_elim2 :premises (@p14304)) % 1.71/1.96 (step @p14306 :rule not_implies_elim2 :premises (@p14305)) % 1.71/1.96 (step @p14307 :rule not_implies_elim2 :premises (@p14306)) % 1.71/1.96 (step @p14308 :rule not_implies_elim2 :premises (@p14307)) % 1.71/1.96 (step @p14309 :rule not_implies_elim2 :premises (@p14308)) % 1.71/1.96 (step @p14310 :rule not_implies_elim2 :premises (@p14309)) % 1.71/1.96 (step @p14311 :rule not_implies_elim2 :premises (@p14310)) % 1.71/1.96 (step @p14312 :rule not_implies_elim2 :premises (@p14311)) % 1.71/1.96 (step @p14313 :rule not_implies_elim1 :premises (@p14312)) % 1.71/1.96 (step @p14314 :rule not_implies_elim2 :premises (@p14312)) % 1.71/1.96 (step @p14315 :rule not_implies_elim2 :premises (@p14314)) % 1.71/1.96 (step @p14316 :rule not_implies_elim2 :premises (@p14315)) % 1.71/1.96 (step @p14317 :rule not_implies_elim2 :premises (@p14316)) % 1.71/1.96 (step @p14318 :rule not_implies_elim2 :premises (@p14317)) % 1.71/1.96 (step @p14319 :rule not_implies_elim2 :premises (@p14318)) % 1.71/1.96 (step @p14320 :rule not_implies_elim2 :premises (@p14319)) % 1.71/1.96 (step @p14321 :rule not_implies_elim2 :premises (@p14320)) % 1.71/1.96 (step @p14322 :rule not_implies_elim2 :premises (@p14321)) % 1.71/1.96 (step @p14323 :rule not_implies_elim2 :premises (@p14322)) % 1.71/1.96 (step @p14324 :rule not_implies_elim2 :premises (@p14323)) % 1.71/1.96 (step @p14325 :rule not_implies_elim2 :premises (@p14324)) % 1.71/1.96 (step @p14326 :rule not_implies_elim2 :premises (@p14325)) % 1.71/1.96 (step @p14327 :rule not_implies_elim2 :premises (@p14326)) % 1.71/1.96 (step @p14328 :rule not_implies_elim2 :premises (@p14327)) % 1.71/1.96 (step @p14329 :rule not_implies_elim2 :premises (@p14328)) % 1.71/1.96 (step @p14330 :rule not_implies_elim2 :premises (@p14329)) % 1.71/1.96 (step @p14331 :rule not_implies_elim2 :premises (@p14330)) % 1.71/1.96 (step @p14332 :rule not_implies_elim2 :premises (@p14331)) % 1.71/1.96 (step @p14333 :rule not_implies_elim2 :premises (@p14332)) % 1.71/1.96 (step @p14334 :rule not_implies_elim2 :premises (@p14333)) % 1.71/1.96 (step @p14335 :rule not_implies_elim2 :premises (@p14334)) % 1.71/1.96 (step @p14336 :rule not_implies_elim2 :premises (@p14335)) % 1.71/1.96 (step @p14337 :rule not_implies_elim2 :premises (@p14336)) % 1.71/1.96 (step @p14338 :rule not_implies_elim2 :premises (@p14337)) % 1.71/1.96 (step @p14339 :rule not_implies_elim2 :premises (@p14338)) % 1.71/1.96 (step @p14340 :rule not_implies_elim2 :premises (@p14339)) % 1.71/1.96 (step @p14341 :rule not_implies_elim2 :premises (@p14340)) % 1.71/1.96 (step @p14342 :rule not_implies_elim2 :premises (@p14341)) % 1.71/1.96 (step @p14343 :rule not_implies_elim2 :premises (@p14342)) % 1.71/1.96 (step @p14344 :rule not_implies_elim2 :premises (@p14343)) % 1.71/1.96 (step @p14345 :rule not_implies_elim2 :premises (@p14344)) % 1.71/1.96 (step @p14346 :rule not_implies_elim2 :premises (@p14345)) % 1.71/1.96 (step @p14347 :rule not_implies_elim2 :premises (@p14346)) % 1.71/1.96 (step @p14348 :rule not_implies_elim2 :premises (@p14347)) % 1.71/1.96 (step @p14349 :rule not_implies_elim2 :premises (@p14348)) % 1.71/1.96 (step @p14350 :rule not_implies_elim2 :premises (@p14349)) % 1.71/1.96 (step @p14351 :rule not_implies_elim2 :premises (@p14350)) % 1.71/1.96 (step @p14352 :rule not_implies_elim2 :premises (@p14351)) % 1.71/1.96 (step @p14353 :rule not_implies_elim2 :premises (@p14352)) % 1.71/1.96 (step @p14354 :rule not_implies_elim2 :premises (@p14353)) % 1.71/1.96 (step @p14355 :rule not_implies_elim2 :premises (@p14354)) % 1.71/1.96 (step @p14356 :rule not_implies_elim2 :premises (@p14355)) % 1.71/1.96 (step @p14357 :rule not_implies_elim2 :premises (@p14356)) % 1.71/1.96 (step @p14358 :rule not_implies_elim2 :premises (@p14357)) % 1.71/1.96 (step @p14359 :rule not_implies_elim2 :premises (@p14358)) % 1.71/1.96 (step @p14360 :rule not_implies_elim2 :premises (@p14359)) % 1.71/1.96 (step @p14361 :rule not_implies_elim2 :premises (@p14360)) % 1.71/1.96 (step @p14362 :rule not_implies_elim2 :premises (@p14361)) % 1.71/1.96 (step @p14363 :rule not_implies_elim2 :premises (@p14362)) % 1.71/1.96 (step @p14364 :rule not_implies_elim2 :premises (@p14363)) % 1.71/1.96 (step @p14365 :rule not_implies_elim2 :premises (@p14364)) % 1.71/1.96 (step @p14366 :rule not_implies_elim2 :premises (@p14365)) % 1.71/1.96 (step @p14367 :rule not_implies_elim2 :premises (@p14366)) % 1.71/1.96 (step @p14368 :rule not_implies_elim2 :premises (@p14367)) % 1.71/1.96 (step @p14369 :rule not_implies_elim2 :premises (@p14368)) % 1.71/1.96 (step @p14370 :rule not_implies_elim2 :premises (@p14369)) % 1.71/1.96 (step @p14371 :rule not_implies_elim2 :premises (@p14370)) % 1.71/1.96 (step @p14372 :rule not_implies_elim2 :premises (@p14371)) % 1.71/1.96 (step @p14373 :rule not_implies_elim2 :premises (@p14372)) % 1.71/1.96 (step @p14374 :rule not_implies_elim2 :premises (@p14373)) % 1.71/1.96 (step @p14375 :rule not_implies_elim2 :premises (@p14374)) % 1.71/1.96 (step @p14376 :rule not_implies_elim2 :premises (@p14375)) % 1.71/1.96 (step @p14377 :rule not_implies_elim2 :premises (@p14376)) % 1.71/1.96 (step @p14378 :rule not_implies_elim2 :premises (@p14377)) % 1.71/1.96 (step @p14379 :rule not_implies_elim2 :premises (@p14378)) % 1.71/1.96 (step @p14380 :rule not_implies_elim2 :premises (@p14379)) % 1.71/1.96 (step @p14381 :rule not_implies_elim2 :premises (@p14380)) % 1.71/1.96 (step @p14382 :rule not_implies_elim2 :premises (@p14381)) % 1.71/1.96 (step @p14383 :rule not_implies_elim2 :premises (@p14382)) % 1.71/1.96 (step @p14384 :rule not_implies_elim2 :premises (@p14383)) % 1.71/1.96 (step @p14385 :rule not_implies_elim2 :premises (@p14384)) % 1.71/1.96 (step @p14386 :rule not_implies_elim2 :premises (@p14385)) % 1.71/1.96 (step @p14387 :rule not_implies_elim2 :premises (@p14386)) % 1.71/1.96 (step @p14388 :rule not_implies_elim2 :premises (@p14387)) % 1.71/1.96 (step @p14389 :rule not_implies_elim2 :premises (@p14388)) % 1.71/1.96 (step @p14390 :rule not_implies_elim2 :premises (@p14389)) % 1.71/1.96 (step @p14391 :rule not_implies_elim2 :premises (@p14390)) % 1.71/1.96 (step @p14392 :rule not_implies_elim2 :premises (@p14391)) % 1.71/1.96 (step @p14393 :rule not_implies_elim2 :premises (@p14392)) % 1.71/1.96 (step @p14394 :rule not_implies_elim2 :premises (@p14393)) % 1.71/1.96 (step @p14395 :rule not_implies_elim2 :premises (@p14394)) % 1.71/1.96 (step @p14396 :rule not_implies_elim2 :premises (@p14395)) % 1.71/1.96 (step @p14397 :rule not_implies_elim2 :premises (@p14396)) % 1.71/1.96 (step @p14398 :rule not_implies_elim2 :premises (@p14397)) % 1.71/1.96 (step @p14399 :rule not_implies_elim2 :premises (@p14398)) % 1.71/1.96 (step @p14400 :rule not_implies_elim2 :premises (@p14399)) % 1.71/1.96 (step @p14401 :rule not_implies_elim2 :premises (@p14400)) % 1.71/1.96 (step @p14402 :rule not_implies_elim2 :premises (@p14401)) % 1.71/1.96 (step @p14403 :rule not_implies_elim2 :premises (@p14402)) % 1.71/1.96 (step @p14404 :rule not_implies_elim2 :premises (@p14403)) % 1.71/1.96 (step @p14405 :rule not_implies_elim2 :premises (@p14404)) % 1.71/1.96 (step @p14406 :rule not_implies_elim2 :premises (@p14405)) % 1.71/1.96 (step @p14407 :rule not_implies_elim2 :premises (@p14406)) % 1.71/1.96 (step @p14408 :rule not_implies_elim2 :premises (@p14407)) % 1.71/1.96 (step @p14409 :rule not_implies_elim2 :premises (@p14408)) % 1.71/1.96 (step @p14410 :rule not_implies_elim2 :premises (@p14409)) % 1.71/1.96 (step @p14411 :rule not_implies_elim2 :premises (@p14410)) % 1.71/1.96 (step @p14412 :rule not_implies_elim2 :premises (@p14411)) % 1.71/1.96 (step @p14413 :rule not_implies_elim2 :premises (@p14412)) % 1.71/1.96 (step @p14414 :rule not_implies_elim2 :premises (@p14413)) % 1.71/1.96 (step @p14415 :rule not_implies_elim2 :premises (@p14414)) % 1.71/1.96 (step @p14416 :rule not_implies_elim2 :premises (@p14415)) % 1.71/1.96 (step @p14417 :rule not_implies_elim2 :premises (@p14416)) % 1.71/1.96 (step @p14418 :rule not_implies_elim2 :premises (@p14417)) % 1.71/1.96 (step @p14419 :rule not_implies_elim2 :premises (@p14418)) % 1.71/1.96 (step @p14420 :rule not_implies_elim2 :premises (@p14419)) % 1.71/1.96 (step @p14421 :rule not_implies_elim2 :premises (@p14420)) % 1.71/1.96 (step @p14422 :rule not_implies_elim2 :premises (@p14421)) % 1.71/1.96 (step @p14423 :rule not_implies_elim2 :premises (@p14422)) % 1.71/1.96 (step @p14424 :rule not_implies_elim2 :premises (@p14423)) % 1.71/1.96 (step @p14425 :rule not_implies_elim2 :premises (@p14424)) % 1.71/1.96 (step @p14426 :rule not_implies_elim2 :premises (@p14425)) % 1.71/1.96 (step @p14427 :rule not_implies_elim2 :premises (@p14426)) % 1.71/1.96 (step @p14428 :rule not_implies_elim2 :premises (@p14427)) % 1.71/1.96 (step @p14429 :rule not_implies_elim2 :premises (@p14428)) % 1.71/1.96 (step @p14430 :rule not_implies_elim2 :premises (@p14429)) % 1.71/1.96 (step @p14431 :rule not_implies_elim2 :premises (@p14430)) % 1.71/1.96 (step @p14432 :rule not_implies_elim2 :premises (@p14431)) % 1.71/1.96 (step @p14433 :rule not_implies_elim2 :premises (@p14432)) % 1.71/1.96 (step @p14434 :rule not_implies_elim2 :premises (@p14433)) % 1.71/1.96 (step @p14435 :rule not_implies_elim2 :premises (@p14434)) % 1.71/1.96 (step @p14436 :rule not_implies_elim2 :premises (@p14435)) % 1.71/1.96 (step @p14437 :rule not_implies_elim2 :premises (@p14436)) % 1.71/1.96 (step @p14438 :rule not_implies_elim2 :premises (@p14437)) % 1.71/1.96 (step @p14439 :rule not_implies_elim2 :premises (@p14438)) % 1.71/1.96 (step @p14440 :rule not_implies_elim2 :premises (@p14439)) % 1.71/1.96 (step @p14441 :rule not_implies_elim2 :premises (@p14440)) % 1.71/1.96 (step @p14442 :rule not_implies_elim2 :premises (@p14441)) % 1.71/1.96 (step @p14443 :rule not_implies_elim2 :premises (@p14442)) % 1.71/1.96 (step @p14444 :rule not_implies_elim2 :premises (@p14443)) % 1.71/1.96 (step @p14445 :rule not_implies_elim2 :premises (@p14444)) % 1.71/1.96 (step @p14446 :rule not_implies_elim2 :premises (@p14445)) % 1.71/1.96 (step @p14447 :rule not_implies_elim2 :premises (@p14446)) % 1.71/1.96 (step @p14448 :rule not_implies_elim2 :premises (@p14447)) % 1.71/1.96 (step @p14449 :rule not_implies_elim2 :premises (@p14448)) % 1.71/1.96 (step @p14450 :rule not_implies_elim2 :premises (@p14449)) % 1.71/1.96 (step @p14451 :rule not_implies_elim2 :premises (@p14450)) % 1.71/1.96 (step @p14452 :rule not_implies_elim2 :premises (@p14451)) % 1.71/1.96 (step @p14453 :rule not_implies_elim2 :premises (@p14452)) % 1.71/1.96 (step @p14454 :rule not_implies_elim2 :premises (@p14453)) % 1.71/1.96 (step @p14455 :rule not_implies_elim2 :premises (@p14454)) % 1.71/1.96 (step @p14456 :rule not_implies_elim2 :premises (@p14455)) % 1.71/1.96 (step @p14457 :rule not_implies_elim2 :premises (@p14456)) % 1.71/1.96 (step @p14458 :rule not_implies_elim2 :premises (@p14457)) % 1.71/1.96 (step @p14459 :rule not_implies_elim2 :premises (@p14458)) % 1.71/1.96 (step @p14460 :rule not_implies_elim2 :premises (@p14459)) % 1.71/1.96 (step @p14461 :rule not_implies_elim2 :premises (@p14460)) % 1.71/1.96 (step @p14462 :rule not_implies_elim2 :premises (@p14461)) % 1.71/1.96 (step @p14463 :rule not_implies_elim2 :premises (@p14462)) % 1.71/1.96 (step @p14464 :rule not_implies_elim2 :premises (@p14463)) % 1.71/1.96 (step @p14465 :rule not_implies_elim2 :premises (@p14464)) % 1.71/1.96 (step @p14466 :rule not_implies_elim2 :premises (@p14465)) % 1.71/1.96 (step @p14467 :rule not_implies_elim2 :premises (@p14466)) % 1.71/1.96 (step @p14468 :rule not_implies_elim2 :premises (@p14467)) % 1.71/1.96 (step @p14469 :rule not_implies_elim2 :premises (@p14468)) % 1.71/1.96 (step @p14470 :rule not_implies_elim2 :premises (@p14469)) % 1.71/1.96 (step @p14471 :rule not_implies_elim2 :premises (@p14470)) % 1.71/1.96 (step @p14472 :rule not_implies_elim2 :premises (@p14471)) % 1.71/1.96 (step @p14473 :rule not_implies_elim2 :premises (@p14472)) % 1.71/1.96 (step @p14474 :rule not_implies_elim2 :premises (@p14473)) % 1.71/1.96 (step @p14475 :rule not_implies_elim2 :premises (@p14474)) % 1.71/1.96 (step @p14476 :rule not_implies_elim2 :premises (@p14475)) % 1.71/1.96 (step @p14477 :rule not_implies_elim2 :premises (@p14476)) % 1.71/1.96 (step @p14478 :rule not_implies_elim2 :premises (@p14477)) % 1.71/1.96 (step @p14479 :rule not_implies_elim2 :premises (@p14478)) % 1.71/1.96 (step @p14480 :rule not_implies_elim2 :premises (@p14479)) % 1.71/1.96 (step @p14481 :rule not_implies_elim2 :premises (@p14480)) % 1.71/1.96 (step @p14482 :rule not_implies_elim2 :premises (@p14481)) % 1.71/1.96 (step @p14483 :rule not_implies_elim2 :premises (@p14482)) % 1.71/1.96 (step @p14484 :rule not_implies_elim2 :premises (@p14483)) % 1.71/1.96 (step @p14485 :rule not_implies_elim2 :premises (@p14484)) % 1.71/1.96 (step @p14486 :rule not_implies_elim2 :premises (@p14485)) % 1.71/1.96 (step @p14487 :rule not_implies_elim2 :premises (@p14486)) % 1.71/1.96 (step @p14488 :rule not_implies_elim2 :premises (@p14487)) % 1.71/1.96 (step @p14489 :rule not_implies_elim2 :premises (@p14488)) % 1.71/1.96 (step @p14490 :rule not_implies_elim2 :premises (@p14489)) % 1.71/1.96 (step @p14491 :rule not_implies_elim2 :premises (@p14490)) % 1.71/1.96 (step @p14492 :rule not_implies_elim2 :premises (@p14491)) % 1.71/1.96 (step @p14493 :rule not_implies_elim2 :premises (@p14492)) % 1.71/1.96 (step @p14494 :rule not_implies_elim2 :premises (@p14493)) % 1.71/1.96 (step @p14495 :rule not_implies_elim2 :premises (@p14494)) % 1.71/1.96 (step @p14496 :rule not_implies_elim2 :premises (@p14495)) % 1.71/1.96 (step @p14497 :rule not_implies_elim2 :premises (@p14496)) % 1.71/1.96 (step @p14498 :rule not_implies_elim2 :premises (@p14497)) % 1.71/1.96 (step @p14499 :rule not_implies_elim2 :premises (@p14498)) % 1.71/1.96 (step @p14500 :rule not_implies_elim2 :premises (@p14499)) % 1.71/1.96 (step @p14501 :rule not_implies_elim2 :premises (@p14500)) % 1.71/1.96 (step @p14502 :rule not_implies_elim2 :premises (@p14501)) % 1.71/1.96 (step @p14503 :rule not_implies_elim2 :premises (@p14502)) % 1.71/1.96 (step @p14504 :rule not_implies_elim2 :premises (@p14503)) % 1.71/1.96 (step @p14505 :rule not_implies_elim2 :premises (@p14504)) % 1.71/1.96 (step @p14506 :rule not_implies_elim2 :premises (@p14505)) % 1.71/1.96 (step @p14507 :rule not_implies_elim2 :premises (@p14506)) % 1.71/1.96 (step @p14508 :rule not_implies_elim2 :premises (@p14507)) % 1.71/1.96 (step @p14509 :rule not_implies_elim2 :premises (@p14508)) % 1.71/1.96 (step @p14510 :rule not_implies_elim2 :premises (@p14509)) % 1.71/1.96 (step @p14511 :rule not_implies_elim2 :premises (@p14510)) % 1.71/1.96 (step @p14512 :rule not_implies_elim2 :premises (@p14511)) % 1.71/1.96 (step @p14513 :rule not_implies_elim2 :premises (@p14512)) % 1.71/1.96 (step @p14514 :rule not_implies_elim2 :premises (@p14513)) % 1.71/1.96 (step @p14515 :rule not_implies_elim2 :premises (@p14514)) % 1.71/1.96 (step @p14516 :rule not_implies_elim2 :premises (@p14515)) % 1.71/1.96 (step @p14517 :rule not_implies_elim2 :premises (@p14516)) % 1.71/1.96 (step @p14518 :rule not_implies_elim2 :premises (@p14517)) % 1.71/1.96 (step @p14519 :rule not_implies_elim2 :premises (@p14518)) % 1.71/1.96 (step @p14520 :rule not_implies_elim2 :premises (@p14519)) % 1.71/1.96 (step @p14521 :rule not_implies_elim2 :premises (@p14520)) % 1.71/1.96 (step @p14522 :rule not_implies_elim2 :premises (@p14521)) % 1.71/1.96 (step @p14523 :rule not_implies_elim2 :premises (@p14522)) % 1.71/1.96 (step @p14524 :rule not_implies_elim2 :premises (@p14523)) % 1.71/1.96 (step @p14525 :rule not_implies_elim2 :premises (@p14524)) % 1.71/1.96 (step @p14526 :rule not_implies_elim2 :premises (@p14525)) % 1.71/1.96 (step @p14527 :rule not_implies_elim2 :premises (@p14526)) % 1.71/1.96 (step @p14528 :rule not_implies_elim2 :premises (@p14527)) % 1.71/1.96 (step @p14529 :rule not_implies_elim2 :premises (@p14528)) % 1.71/1.96 (step @p14530 :rule not_implies_elim2 :premises (@p14529)) % 1.71/1.96 (step @p14531 :rule not_implies_elim2 :premises (@p14530)) % 1.71/1.96 (step @p14532 :rule not_implies_elim2 :premises (@p14531)) % 1.71/1.96 (step @p14533 :rule not_implies_elim2 :premises (@p14532)) % 1.71/1.96 (step @p14534 :rule not_implies_elim2 :premises (@p14533)) % 1.71/1.96 (step @p14535 :rule not_implies_elim2 :premises (@p14534)) % 1.71/1.96 (step @p14536 :rule not_implies_elim2 :premises (@p14535)) % 1.71/1.96 (step @p14537 :rule not_implies_elim2 :premises (@p14536)) % 1.71/1.96 (step @p14538 :rule not_implies_elim2 :premises (@p14537)) % 1.71/1.96 (step @p14539 :rule not_implies_elim2 :premises (@p14538)) % 1.71/1.96 (step @p14540 :rule not_implies_elim2 :premises (@p14539)) % 1.71/1.96 (step @p14541 :rule not_implies_elim2 :premises (@p14540)) % 1.71/1.96 (step @p14542 :rule not_implies_elim2 :premises (@p14541)) % 1.71/1.96 (step @p14543 :rule not_implies_elim2 :premises (@p14542)) % 1.71/1.96 (step @p14544 :rule not_implies_elim2 :premises (@p14543)) % 1.71/1.96 (step @p14545 :rule not_implies_elim2 :premises (@p14544)) % 1.71/1.96 (step @p14546 :rule not_implies_elim2 :premises (@p14545)) % 1.71/1.96 (step @p14547 :rule not_implies_elim2 :premises (@p14546)) % 1.71/1.96 (step @p14548 :rule not_implies_elim2 :premises (@p14547)) % 1.71/1.96 (step @p14549 :rule not_implies_elim2 :premises (@p14548)) % 1.71/1.96 (step @p14550 :rule not_implies_elim2 :premises (@p14549)) % 1.71/1.96 (step @p14551 :rule not_implies_elim2 :premises (@p14550)) % 1.71/1.96 (step @p14552 :rule not_implies_elim2 :premises (@p14551)) % 1.71/1.96 (step @p14553 :rule not_implies_elim2 :premises (@p14552)) % 1.71/1.96 (step @p14554 :rule not_implies_elim2 :premises (@p14553)) % 1.71/1.96 (step @p14555 :rule not_implies_elim2 :premises (@p14554)) % 1.71/1.96 (step @p14556 :rule not_implies_elim2 :premises (@p14555)) % 1.71/1.96 (step @p14557 :rule not_implies_elim2 :premises (@p14556)) % 1.71/1.96 (step @p14558 :rule not_implies_elim2 :premises (@p14557)) % 1.71/1.96 (step @p14559 :rule not_implies_elim2 :premises (@p14558)) % 1.71/1.96 (step @p14560 :rule not_implies_elim2 :premises (@p14559)) % 1.71/1.96 (step @p14561 :rule not_implies_elim2 :premises (@p14560)) % 1.71/1.96 (step @p14562 :rule not_implies_elim2 :premises (@p14561)) % 1.71/1.96 (step @p14563 :rule not_implies_elim2 :premises (@p14562)) % 1.71/1.96 (step @p14564 :rule not_implies_elim2 :premises (@p14563)) % 1.71/1.96 (step @p14565 :rule not_implies_elim2 :premises (@p14564)) % 1.71/1.96 (step @p14566 :rule not_implies_elim2 :premises (@p14565)) % 1.71/1.96 (step @p14567 :rule not_implies_elim2 :premises (@p14566)) % 1.71/1.96 (step @p14568 :rule not_implies_elim2 :premises (@p14567)) % 1.71/1.96 (step @p14569 :rule not_implies_elim2 :premises (@p14568)) % 1.71/1.96 (step @p14570 :rule not_implies_elim2 :premises (@p14569)) % 1.71/1.96 (step @p14571 :rule not_implies_elim2 :premises (@p14570)) % 1.71/1.96 (step @p14572 :rule not_implies_elim2 :premises (@p14571)) % 1.71/1.96 (step @p14573 :rule not_implies_elim2 :premises (@p14572)) % 1.71/1.96 (step @p14574 :rule not_implies_elim2 :premises (@p14573)) % 1.71/1.96 (step @p14575 :rule not_implies_elim2 :premises (@p14574)) % 1.71/1.96 (step @p14576 :rule not_implies_elim2 :premises (@p14575)) % 1.71/1.96 (step @p14577 :rule not_implies_elim2 :premises (@p14576)) % 1.71/1.96 (step @p14578 :rule not_implies_elim2 :premises (@p14577)) % 1.71/1.96 (step @p14579 :rule not_implies_elim2 :premises (@p14578)) % 1.71/1.96 (step @p14580 :rule not_implies_elim2 :premises (@p14579)) % 1.71/1.96 (step @p14581 :rule not_implies_elim2 :premises (@p14580)) % 1.71/1.96 (step @p14582 :rule not_implies_elim2 :premises (@p14581)) % 1.71/1.96 (step @p14583 :rule not_implies_elim2 :premises (@p14582)) % 1.71/1.96 (step @p14584 :rule not_implies_elim2 :premises (@p14583)) % 1.71/1.96 (step @p14585 :rule not_implies_elim2 :premises (@p14584)) % 1.71/1.96 (step @p14586 :rule not_implies_elim2 :premises (@p14585)) % 1.71/1.96 (step @p14587 :rule not_implies_elim2 :premises (@p14586)) % 1.71/1.96 (step @p14588 :rule not_implies_elim2 :premises (@p14587)) % 1.71/1.96 (step @p14589 :rule not_implies_elim2 :premises (@p14588)) % 1.71/1.96 (step @p14590 :rule not_implies_elim2 :premises (@p14589)) % 1.71/1.96 (step @p14591 :rule not_implies_elim2 :premises (@p14590)) % 1.71/1.96 (step @p14592 :rule not_implies_elim2 :premises (@p14591)) % 1.71/1.96 (step @p14593 :rule not_implies_elim2 :premises (@p14592)) % 1.71/1.96 (step @p14594 :rule not_implies_elim2 :premises (@p14593)) % 1.71/1.96 (step @p14595 :rule not_implies_elim2 :premises (@p14594)) % 1.71/1.96 (step @p14596 :rule not_implies_elim2 :premises (@p14595)) % 1.71/1.96 (step @p14597 :rule not_implies_elim2 :premises (@p14596)) % 1.71/1.96 (step @p14598 :rule refl :args (@t7921)) % 1.71/1.96 (step @p14599 :rule bool-double-not-elim :args (@t2187)) % 1.71/1.96 (step @p14600 :rule nary_cong :premises (@p14599 @p14598) :args ((or (not @t7922) @t7921))) % 1.71/1.96 (step @p14601 :rule refl :args (@t7917)) % 1.71/1.96 (step @p14602 :rule eq-refl :args (@t7918)) % 1.71/1.96 (step @p14603 :rule skolem_intro :args (@t7919)) % 1.71/1.96 (step @p14604 :rule refl :args (@t7918)) % 1.71/1.96 (step @p14605 :rule cong :premises (@p14604 @p14603) :args ((= @t7918 @t7919))) % 1.71/1.96 (step @p14606 :rule trans :premises (@p14605 @p14602)) % 1.71/1.96 (step @p14607 :rule true_elim :premises (@p14606)) % 1.71/1.96 (step @p14608 :rule refl :args (@t7915)) % 1.71/1.96 (step @p14609 :rule cong :premises (@p14608 @p14607) :args (@t7923)) % 1.71/1.96 (step @p14610 :rule refl :args (@t7916)) % 1.71/1.96 (step @p14611 :rule cong :premises (@p14610 @p14609) :args (@t7924)) % 1.71/1.96 (step @p14612 :rule cong :premises (@p14611) :args (@t7925)) % 1.71/1.96 (step @p14613 :rule nary_cong :premises (@p14612 @p14601) :args (@t7926)) % 1.71/1.96 (step @p14614 :rule cong :premises (@p14613) :args (@t7927)) % 1.71/1.96 (step @p14615 :rule refl :args (@t7922)) % 1.71/1.96 (step @p14616 :rule cong :premises (@p14615 @p14614) :args ((=> @t7922 @t7927))) % 1.71/1.96 (assume-push @p14631 @t7922) % 1.71/1.96 (step @p14618 :rule skolemize :premises (@p14597)) % 1.71/1.96 (step-pop @p14632 :rule scope :premises (@p14618)) % 1.71/1.96 (step @p14619 :rule process_scope :premises (@p14632) :args (@t7927)) % 1.71/1.96 (step @p14621 :rule eq_resolve :premises (@p14619 @p14616)) % 1.71/1.96 (step @p14622 :rule implies_elim :premises (@p14621)) % 1.71/1.96 (step @p14623 :rule eq_resolve :premises (@p14622 @p14600)) % 1.71/1.96 (step @p14624 :rule chain_m_resolution :premises (@p14623 @p14597) :args (@t7921 (@list true) (@list @t2187))) % 1.71/1.96 (assume-push @p14633 @t3488) % 1.71/1.96 (step @p14626 :rule instantiate :premises (@p14313) :args ((@list @t7915 @t7919 @t7916))) % 1.71/1.96 (step-pop @p14634 :rule scope :premises (@p14626)) % 1.71/1.96 (step @p14627 :rule process_scope :premises (@p14634) :args (@t7920)) % 1.71/1.96 (step @p14629 :rule implies_elim :premises (@p14627)) % 1.71/1.96 (step @p14630 false :rule chain_m_resolution :premises (@p14629 @p14624 @p14313) :args (false (@list true false) (@list @t7920 @t3488))) % 1.71/1.96 ) % 1.71/1.96 % SZS output end Proof % 1.71/1.96 % cvc5 exiting %------------------------------------------------------------------------------