%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU809^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:53:17 AM UTC 2026 % Result : Theorem 0.53s 0.99s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU809^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:53:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.68 %----Proving TH0 % 0.53/0.99 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.99 % SZS status Theorem % 0.53/0.99 % SZS output start Proof % 0.53/0.99 ( % 0.53/0.99 (declare-sort $$unsorted 0) % 0.53/0.99 (declare-const tptp.emptyset $$unsorted) % 0.53/0.99 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.99 (declare-const tptp.omegaSp Bool) % 0.53/0.99 (declare-const tptp.notinself2 Bool) % 0.53/0.99 (declare-const tptp.foundation2 Bool) % 0.53/0.99 (declare-const tptp.surjCantorThm Bool) % 0.53/0.99 (declare-const tptp.leftInvIsSurj Bool) % 0.53/0.99 (declare-const tptp.injFuncSetFuncInj Bool) % 0.53/0.99 (declare-const tptp.injFuncSetFuncIn Bool) % 0.53/0.99 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.99 (declare-const tptp.injFuncSet (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.99 (declare-const tptp.image1E Bool) % 0.53/0.99 (declare-const tptp.image1Equiv Bool) % 0.53/0.99 (declare-const tptp.image1Ex1 Bool) % 0.53/0.99 (declare-const tptp.image1Ex Bool) % 0.53/0.99 (declare-const tptp.woz2B Bool) % 0.53/0.99 (declare-const tptp.woz2A Bool) % 0.53/0.99 (declare-const tptp.woz2Ex Bool) % 0.53/0.99 (declare-const tptp.breln1unionE Bool) % 0.53/0.99 (declare-const tptp.breln1unionIL Bool) % 0.53/0.99 (declare-const tptp.breln1compEex Bool) % 0.53/0.99 (declare-const tptp.breln1compprop Bool) % 0.53/0.99 (declare-const tptp.breln1invI Bool) % 0.53/0.99 (declare-const tptp.breln1invprop Bool) % 0.53/0.99 (declare-const tptp.choice2fnsingleton Bool) % 0.53/0.99 (declare-const tptp.reflwellordering (-> $$unsorted $$unsorted Bool)) % 0.53/0.99 (declare-const tptp.breln1SetBreln1 Bool) % 0.53/0.99 (declare-const tptp.breln1Set (-> $$unsorted $$unsorted)) % 0.53/0.99 (declare-const tptp.breln1all2 Bool) % 0.53/0.99 (declare-const tptp.woz1_3 Bool) % 0.53/0.99 (declare-const tptp.woz1_2 Bool) % 0.53/0.99 (declare-const tptp.woz1_1 Bool) % 0.53/0.99 (declare-const tptp.woz13rule3 Bool) % 0.53/0.99 (declare-const tptp.woz13rule2 Bool) % 0.53/0.99 (declare-const tptp.woz13rule1 Bool) % 0.53/0.99 (declare-const tptp.woz13rule0 Bool) % 0.53/0.99 (declare-const tptp.demorgan2b Bool) % 0.53/0.99 (declare-const tptp.demorgan2a Bool) % 0.53/0.99 (declare-const tptp.demorgan1a Bool) % 0.53/0.99 (declare-const tptp.demorgan2a2 Bool) % 0.53/0.99 (declare-const tptp.complementUnionInPowersetComplement Bool) % 0.53/0.99 (declare-const tptp.demorgan2a1 Bool) % 0.53/0.99 (declare-const tptp.binunionTE Bool) % 0.53/0.99 (declare-const tptp.inComplementUnionImpInComplement1 Bool) % 0.53/0.99 (declare-const tptp.inComplementUnionImpNotIn1 Bool) % 0.53/0.99 (declare-const tptp.intersectInPowersetIntersectUnions Bool) % 0.53/0.99 (declare-const tptp.inIntersectImpInUnion2 Bool) % 0.53/0.99 (declare-const tptp.inIntersectImpInUnion Bool) % 0.53/0.99 (declare-const tptp.binunionTILcontra Bool) % 0.53/0.99 (declare-const tptp.complementTcontraSubset Bool) % 0.53/0.99 (declare-const tptp.contraSubsetComplement Bool) % 0.53/0.99 (declare-const tptp.breln1unionI Bool) % 0.53/0.99 (declare-const tptp.complementInPowersetComplementIntersect Bool) % 0.53/0.99 (declare-const tptp.complementImpComplementIntersect Bool) % 0.53/0.99 (declare-const tptp.complementTnotintersectT Bool) % 0.53/0.99 (declare-const tptp.doubleComplementE1 Bool) % 0.53/0.99 (declare-const tptp.doubleComplementI1 Bool) % 0.53/0.99 (declare-const tptp.binintersectTERcontra Bool) % 0.53/0.99 (declare-const tptp.complementTE1 Bool) % 0.53/0.99 (declare-const tptp.eqbreln1 Bool) % 0.53/0.99 (declare-const tptp.complementTI1 Bool) % 0.53/0.99 (declare-const tptp.powersetTI1 Bool) % 0.53/0.99 (declare-const tptp.subsetTI Bool) % 0.53/0.99 (declare-const tptp.setminusT_lem Bool) % 0.53/0.99 (declare-const tptp.powersetT_lem Bool) % 0.53/0.99 (declare-const tptp.binintersectER Bool) % 0.53/1.00 (declare-const tptp.setext Bool) % 0.53/1.00 (declare-const tptp.binintersectSubset2 Bool) % 0.53/1.00 (declare-const tptp.binintersectEL Bool) % 0.53/1.00 (declare-const tptp.lam2lamEq Bool) % 0.53/1.00 (declare-const tptp.doubleComplementSub2 Bool) % 0.53/1.00 (declare-const tptp.binintersectI Bool) % 0.53/1.00 (declare-const tptp.exuI1 Bool) % 0.53/1.00 (declare-const tptp.breln1compE Bool) % 0.53/1.00 (declare-const tptp.binunionEcases Bool) % 0.53/1.00 (declare-const tptp.quantDeMorgan3 Bool) % 0.53/1.00 (declare-const tptp.descrp Bool) % 0.53/1.00 (declare-const tptp.binunionIR Bool) % 0.53/1.00 (declare-const tptp.binunionIL Bool) % 0.53/1.00 (declare-const tptp.contrasubsetT2 Bool) % 0.53/1.00 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.setextsub Bool) % 0.53/1.00 (declare-const tptp.singletonsubset Bool) % 0.53/1.00 (declare-const tptp.disjointsetsI1 Bool) % 0.53/1.00 (declare-const tptp.singleton (-> $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.kpairiskpair Bool) % 0.53/1.00 (declare-const tptp.setadjoinSub Bool) % 0.53/1.00 (declare-const tptp.subbreln1 Bool) % 0.53/1.00 (declare-const tptp.notequalI2 Bool) % 0.53/1.00 (declare-const tptp.funcGraphProp1 Bool) % 0.53/1.00 (declare-const tptp.notsubsetI Bool) % 0.53/1.00 (declare-const tptp.subsetI2 Bool) % 0.53/1.00 (declare-const tptp.symdiffE Bool) % 0.53/1.00 (declare-const tptp.binintersectT_lem Bool) % 0.53/1.00 (declare-const tptp.powerset__Cong Bool) % 0.53/1.00 (declare-const tptp.binintersectRsub Bool) % 0.53/1.00 (declare-const tptp.emptyset__Cong Bool) % 0.53/1.00 (declare-const tptp.complementSubsetComplementIntersect Bool) % 0.53/1.00 (declare-const tptp.binintersectSubset3 Bool) % 0.53/1.00 (declare-const tptp.exu__Cong Bool) % 0.53/1.00 (declare-const tptp.breln1unionprop Bool) % 0.53/1.00 (declare-const tptp.funcImageSingleton Bool) % 0.53/1.00 (declare-const tptp.inCongP Bool) % 0.53/1.00 (declare-const tptp.subsetE2 Bool) % 0.53/1.00 (declare-const tptp.setunionsingleton2 Bool) % 0.53/1.00 (declare-const tptp.exuI3 Bool) % 0.53/1.00 (declare-const tptp.subsetE Bool) % 0.53/1.00 (declare-const tptp.sepSubset Bool) % 0.53/1.00 (declare-const tptp.dsetconstr__Cong Bool) % 0.53/1.00 (declare-const tptp.setminusSubset2 Bool) % 0.53/1.00 (declare-const tptp.demorgan2b2 Bool) % 0.53/1.00 (declare-const tptp.quantDeMorgan1 Bool) % 0.53/1.00 (declare-const tptp.ubforcartprodlem1 Bool) % 0.53/1.00 (declare-const tptp.contrasubsetT1 Bool) % 0.53/1.00 (declare-const tptp.sepInPowerset Bool) % 0.53/1.00 (declare-const tptp.inPowerset Bool) % 0.53/1.00 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.upairset2E Bool) % 0.53/1.00 (declare-const tptp.emptyE1 Bool) % 0.53/1.00 (declare-const tptp.setukpairinjR Bool) % 0.53/1.00 (declare-const tptp.notequalI1 Bool) % 0.53/1.00 (declare-const tptp.symdiffIneg1 Bool) % 0.53/1.00 (declare-const tptp.omega__Cong Bool) % 0.53/1.00 (declare-const tptp.setadjoinIL Bool) % 0.53/1.00 (declare-const tptp.woz1_5 Bool) % 0.53/1.00 (declare-const tptp.exuEu Bool) % 0.53/1.00 (declare-const tptp.prop2setE Bool) % 0.53/1.00 (declare-const tptp.exuI2 Bool) % 0.53/1.00 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.53/1.00 (declare-const tptp.vacuousDall Bool) % 0.53/1.00 (declare-const tptp.eta1 Bool) % 0.53/1.00 (declare-const tptp.dsetconstrI Bool) % 0.53/1.00 (declare-const tptp.demorgan1b Bool) % 0.53/1.00 (declare-const tptp.ap2apEq1 Bool) % 0.53/1.00 (declare-const tptp.binintersectLsub Bool) % 0.53/1.00 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.53/1.00 (declare-const tptp.breln1compset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.wellorderingAx Bool) % 0.53/1.00 (declare-const tptp.omega0Ax Bool) % 0.53/1.00 (declare-const tptp.ksndsingleton Bool) % 0.53/1.00 (declare-const tptp.breln1invset (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.replAx Bool) % 0.53/1.00 (declare-const tptp.upairinpowunion Bool) % 0.53/1.00 (declare-const tptp.upairsetE Bool) % 0.53/1.00 (declare-const tptp.binunionLsub Bool) % 0.53/1.00 (declare-const tptp.prop2set2propI Bool) % 0.53/1.00 (declare-const tptp.dsetconstrEL Bool) % 0.53/1.00 (declare-const tptp.emptyinPowerset Bool) % 0.53/1.00 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.funcextLem Bool) % 0.53/1.00 (declare-const tptp.setadjoinOr Bool) % 0.53/1.00 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.setukpairIL Bool) % 0.53/1.00 (declare-const tptp.funcGraphProp3 Bool) % 0.53/1.00 (declare-const tptp.woz13rule4 Bool) % 0.53/1.00 (declare-const tptp.exuE3u Bool) % 0.53/1.00 (declare-const tptp.subsetRefl Bool) % 0.53/1.00 (declare-const tptp.dpsetconstrER Bool) % 0.53/1.00 (declare-const tptp.injFuncInInjFuncSet Bool) % 0.53/1.00 (declare-const tptp.binunionTEcontra Bool) % 0.53/1.00 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.exuE2 Bool) % 0.53/1.00 (declare-const tptp.foundationAx Bool) % 0.53/1.00 (declare-const tptp.dpsetconstrEL2 Bool) % 0.53/1.00 (declare-const tptp.doubleComplementSub1 Bool) % 0.53/1.00 (declare-const tptp.binunionRsub Bool) % 0.53/1.00 (declare-const tptp.beta1 Bool) % 0.53/1.00 (declare-const tptp.breln1unionIR Bool) % 0.53/1.00 (declare-const tptp.dsetconstrER Bool) % 0.53/1.00 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.53/1.00 (declare-const tptp.cartprodpairin Bool) % 0.53/1.00 (declare-const tptp.eqimpsubset1 Bool) % 0.53/1.00 (declare-const tptp.emptyInPowerset Bool) % 0.53/1.00 (declare-const tptp.breln1all1 Bool) % 0.53/1.00 (declare-const tptp.omega $$unsorted) % 0.53/1.00 (declare-const tptp.setadjoinAx Bool) % 0.53/1.00 (declare-const tptp.subsetemptysetimpeq Bool) % 0.53/1.00 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.iftrue Bool) % 0.53/1.00 (declare-const tptp.complementT_lem Bool) % 0.53/1.00 (declare-const tptp.setukpairinjL Bool) % 0.53/1.00 (declare-const tptp.eqimpsubset2 Bool) % 0.53/1.00 (declare-const tptp.powersetAx Bool) % 0.53/1.00 (declare-const tptp.setminusELneg Bool) % 0.53/1.00 (declare-const tptp.upairset2IR Bool) % 0.53/1.00 (declare-const tptp.surjFuncSet (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.funcext Bool) % 0.53/1.00 (declare-const tptp.setoftrueEq Bool) % 0.53/1.00 (declare-const tptp.breln1unionCommutes Bool) % 0.53/1.00 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 0.53/1.00 (declare-const tptp.setadjoin__Cong Bool) % 0.53/1.00 (declare-const tptp.iffalse Bool) % 0.53/1.00 (declare-const tptp.setunionAx Bool) % 0.53/1.00 (declare-const tptp.omegaIndAx Bool) % 0.53/1.00 (declare-const tptp.setunionE Bool) % 0.53/1.00 (declare-const tptp.quantDeMorgan4 Bool) % 0.53/1.00 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.53/1.00 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.emptyI Bool) % 0.53/1.00 (declare-const tptp.binunionTIRcontra Bool) % 0.53/1.00 (declare-const tptp.noeltsimpempty Bool) % 0.53/1.00 (declare-const tptp.setminusER Bool) % 0.53/1.00 (declare-const tptp.kpairp Bool) % 0.53/1.00 (declare-const tptp.funcGraphProp4 Bool) % 0.53/1.00 (declare-const tptp.upairsetIL Bool) % 0.53/1.00 (declare-const tptp.nonemptyI Bool) % 0.53/1.00 (declare-const tptp.subsetI1 Bool) % 0.53/1.00 (declare-const tptp.emptysetAx Bool) % 0.53/1.00 (declare-const tptp.in__Cong Bool) % 0.53/1.00 (declare-const tptp.ifp Bool) % 0.53/1.00 (declare-const tptp.nonemptyI1 Bool) % 0.53/1.00 (declare-const tptp.singletonsuniq Bool) % 0.53/1.00 (declare-const tptp.breln1 (-> $$unsorted $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.descr__Cong Bool) % 0.53/1.00 (declare-const tptp.setminusEL Bool) % 0.53/1.00 (declare-const tptp.setminusLsub Bool) % 0.53/1.00 (declare-const tptp.emptyinunitempty Bool) % 0.53/1.00 (declare-const tptp.setukpairinjL1 Bool) % 0.53/1.00 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.setadjoinE Bool) % 0.53/1.00 (declare-const tptp.kfstsingleton Bool) % 0.53/1.00 (declare-const tptp.powersetTE1 Bool) % 0.53/1.00 (declare-const tptp.omegaSAx Bool) % 0.53/1.00 (declare-const tptp.setukpairinjL2 Bool) % 0.53/1.00 (declare-const tptp.powersetE Bool) % 0.53/1.00 (declare-const tptp.setunionsingleton1 Bool) % 0.53/1.00 (declare-const tptp.notdexE Bool) % 0.53/1.00 (declare-const tptp.setunionI Bool) % 0.53/1.00 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.contrasubsetT3 Bool) % 0.53/1.00 (declare-const tptp.dpsetconstrSub Bool) % 0.53/1.00 (declare-const tptp.binintersectSubset5 Bool) % 0.53/1.00 (declare-const tptp.image1I Bool) % 0.53/1.00 (declare-const tptp.subPowSU Bool) % 0.53/1.00 (declare-const tptp.binintersectTELcontra Bool) % 0.53/1.00 (declare-const tptp.cartprodpairmemEL Bool) % 0.53/1.00 (declare-const tptp.subset2powerset Bool) % 0.53/1.00 (declare-const tptp.emptysetimpfalse Bool) % 0.53/1.00 (declare-const tptp.binintersectSubset4 Bool) % 0.53/1.00 (declare-const tptp.ex1 (-> $$unsorted (-> $$unsorted Bool) Bool)) % 0.53/1.00 (declare-const tptp.notdallE Bool) % 0.53/1.00 (declare-const tptp.iftrueProp1 Bool) % 0.53/1.00 (declare-const tptp.singletonsswitch Bool) % 0.53/1.00 (declare-const tptp.powersetE1 Bool) % 0.53/1.00 (declare-const tptp.subbreln Bool) % 0.53/1.00 (declare-const tptp.setunion__Cong Bool) % 0.53/1.00 (declare-const tptp.ex1I2 Bool) % 0.53/1.00 (declare-const tptp.notinemptyset Bool) % 0.53/1.00 (declare-const tptp.binintersectSubset1 Bool) % 0.53/1.00 (declare-const tptp.bs114d Bool) % 0.53/1.00 (declare-const tptp.app Bool) % 0.53/1.00 (declare-const tptp.iftrueProp2 Bool) % 0.53/1.00 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.setminusI Bool) % 0.53/1.00 (declare-const tptp.woz2W Bool) % 0.53/1.00 (declare-const tptp.setminusERneg Bool) % 0.53/1.00 (declare-const tptp.setminusILneg Bool) % 0.53/1.00 (declare-const tptp.setminusIRneg Bool) % 0.53/1.00 (declare-const tptp.setbeta Bool) % 0.53/1.00 (declare-const tptp.lamp Bool) % 0.53/1.00 (declare-const tptp.symdiffI1 Bool) % 0.53/1.00 (declare-const tptp.powersetI Bool) % 0.53/1.00 (declare-const tptp.symdiffI2 Bool) % 0.53/1.00 (declare-const tptp.symdiffIneg2 Bool) % 0.53/1.00 (declare-const tptp.emptysetsubset Bool) % 0.53/1.00 (declare-const tptp.setukpairinjR12 Bool) % 0.53/1.00 (declare-const tptp.image1 (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 0.53/1.00 (declare-const tptp.secondinupair Bool) % 0.53/1.00 (declare-const tptp.setukpairinjR1 Bool) % 0.53/1.00 (declare-const tptp.setukpairIR Bool) % 0.53/1.00 (declare-const tptp.setOfPairsIsBReln1 Bool) % 0.53/1.00 (declare-const tptp.setukpairinjR2 Bool) % 0.53/1.00 (declare-const tptp.singletoninpowerset Bool) % 0.53/1.00 (declare-const tptp.notinsingleton Bool) % 0.53/1.00 (declare-const tptp.singletoninpowunion Bool) % 0.53/1.00 (declare-const tptp.surjFuncSetFuncIn Bool) % 0.53/1.00 (declare-const tptp.eqinunit Bool) % 0.53/1.00 (declare-const tptp.upairsubunion Bool) % 0.53/1.00 (declare-const tptp.demorgan1 Bool) % 0.53/1.00 (declare-const tptp.upairsetIR Bool) % 0.53/1.00 (declare-const tptp.ubforcartprodlem2 Bool) % 0.53/1.00 (declare-const tptp.ubforcartprodlem3 Bool) % 0.53/1.00 (declare-const tptp.nonemptyImpWitness Bool) % 0.53/1.00 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.demorgan2 Bool) % 0.53/1.00 (declare-const tptp.cartprodmempair Bool) % 0.53/1.00 (declare-const tptp.setOfPairsIsBReln Bool) % 0.53/1.00 (declare-const tptp.prop2setI Bool) % 0.53/1.00 (declare-const tptp.setunionE2 Bool) % 0.53/1.00 (declare-const tptp.setunionsingleton Bool) % 0.53/1.00 (declare-const tptp.ifSingleton Bool) % 0.53/1.00 (declare-const tptp.singletonprop Bool) % 0.53/1.00 (declare-const tptp.ex1E1 Bool) % 0.53/1.00 (declare-const tptp.ex1I Bool) % 0.53/1.00 (declare-const tptp.exuE1 Bool) % 0.53/1.00 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.woz1_4 Bool) % 0.53/1.00 (declare-const tptp.theprop Bool) % 0.53/1.00 (declare-const tptp.kfstpairEq Bool) % 0.53/1.00 (declare-const tptp.setextAx Bool) % 0.53/1.00 (declare-const tptp.cartprodfstin Bool) % 0.53/1.00 (declare-const tptp.nonemptyE1 Bool) % 0.53/1.00 (declare-const tptp.lam2p Bool) % 0.53/1.00 (declare-const tptp.setextT Bool) % 0.53/1.00 (declare-const tptp.setukpairinjR11 Bool) % 0.53/1.00 (declare-const tptp.inIntersectImpInIntersectUnions Bool) % 0.53/1.00 (declare-const tptp.ex1E2 Bool) % 0.53/1.00 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.upairequniteq Bool) % 0.53/1.00 (declare-const tptp.funcGraphProp2 Bool) % 0.53/1.00 (declare-const tptp.subsetTrans Bool) % 0.53/1.00 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.ksndpairEq Bool) % 0.53/1.00 (declare-const tptp.kpairsurjEq Bool) % 0.53/1.00 (declare-const tptp.setadjoinSub2 Bool) % 0.53/1.00 (declare-const tptp.cartprodsndin Bool) % 0.53/1.00 (declare-const tptp.cartprodpairmemER Bool) % 0.53/1.00 (declare-const tptp.cartprodmempaircEq Bool) % 0.53/1.00 (declare-const tptp.breln1invE Bool) % 0.53/1.00 (declare-const tptp.powersetI1 Bool) % 0.53/1.00 (declare-const tptp.cartprodfstpairEq Bool) % 0.53/1.00 (declare-const tptp.contrasubsetT Bool) % 0.53/1.00 (declare-const tptp.cartprodsndpairEq Bool) % 0.53/1.00 (declare-const tptp.powersetsubset Bool) % 0.53/1.00 (declare-const tptp.cartprodpairsurjEq Bool) % 0.53/1.00 (declare-const tptp.breln1compI Bool) % 0.53/1.00 (declare-const tptp.dpsetconstrI Bool) % 0.53/1.00 (declare-const tptp.breln (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.surjFuncSetFuncSurj Bool) % 0.53/1.00 (declare-const tptp.funcext2 Bool) % 0.53/1.00 (declare-const tptp.binunionE Bool) % 0.53/1.00 (declare-const tptp.dpsetconstrERa Bool) % 0.53/1.00 (declare-const tptp.dpsetconstrEL1 Bool) % 0.53/1.00 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.apProp Bool) % 0.53/1.00 (declare-const tptp.doubleComplementEq Bool) % 0.53/1.00 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.emptysetE Bool) % 0.53/1.00 (declare-const tptp.infuncsetfunc Bool) % 0.53/1.00 (declare-const tptp.ap2p Bool) % 0.53/1.00 (declare-const tptp.exuE3e Bool) % 0.53/1.00 (declare-const tptp.funcinfuncset Bool) % 0.53/1.00 (declare-const tptp.breln1unionEcases Bool) % 0.53/1.00 (declare-const tptp.lamProp Bool) % 0.53/1.00 (declare-const tptp.brelnall1 Bool) % 0.53/1.00 (declare-const tptp.setadjoinIR Bool) % 0.53/1.00 (declare-const tptp.setminusSubset1 Bool) % 0.53/1.00 (declare-const tptp.brelnall2 Bool) % 0.53/1.00 (declare-const tptp.uniqinunit Bool) % 0.53/1.00 (declare-const tptp.eqbreln Bool) % 0.53/1.00 (declare-const tptp.ap2apEq2 Bool) % 0.53/1.00 (declare-const tptp.cartprodmempair1 Bool) % 0.53/1.00 (declare-const tptp.beta2 Bool) % 0.53/1.00 (declare-const tptp.quantDeMorgan2 Bool) % 0.53/1.00 (declare-const tptp.eta2 Bool) % 0.53/1.00 (declare-const tptp.notinself Bool) % 0.53/1.00 (declare-const tptp.iffalseProp1 Bool) % 0.53/1.00 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.53/1.00 (declare-const tptp.iffalseProp2 Bool) % 0.53/1.00 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 0.53/1.00 (declare-const tptp.theeq Bool) % 0.53/1.00 (declare-const tptp.iftrueorfalse Bool) % 0.53/1.00 (declare-const tptp.binunionT_lem Bool) % 0.53/1.00 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.53/1.00 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.53/1.00 (define tptp.omegaS () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.setadjoin _let_1) _let_1)))) % 0.53/1.00 (define @t1 () (@var "B" $$unsorted)) % 0.53/1.00 (define @t2 () (@var "A" $$unsorted)) % 0.53/1.00 (define @t3 () (= @t2 @t1)) % 0.53/1.00 (define @t4 () (@var "Xx" $$unsorted)) % 0.53/1.00 (define @t5 () (_ tptp.in @t4)) % 0.53/1.00 (define @t6 () (_ @t5 @t1)) % 0.53/1.00 (define @t7 () (_ @t5 @t2)) % 0.53/1.00 (define @t8 () (@list @t4)) % 0.53/1.00 (define @t9 () (@list @t2 @t1)) % 0.53/1.00 (define @t10 () (_ @t5 tptp.emptyset)) % 0.53/1.00 (define @t11 () (forall @t8 (not @t10))) % 0.53/1.00 (define @t12 () (@var "Xy" $$unsorted)) % 0.53/1.00 (define @t13 () (_ tptp.in @t12)) % 0.53/1.00 (define @t14 () (_ @t13 @t2)) % 0.53/1.00 (define @t15 () (= @t12 @t4)) % 0.53/1.00 (define @t16 () (or @t15 @t14)) % 0.53/1.00 (define @t17 () (_ tptp.setadjoin @t4)) % 0.53/1.00 (define @t18 () (_ @t17 @t2)) % 0.53/1.00 (define @t19 () (_ @t13 @t18)) % 0.53/1.00 (define @t20 () (@list @t4 @t2 @t12)) % 0.53/1.00 (define @t21 () (=> @t6 @t7)) % 0.53/1.00 (define @t22 () (forall @t8 @t21)) % 0.53/1.00 (define @t23 () (_ tptp.powerset @t2)) % 0.53/1.00 (define @t24 () (_ tptp.in @t1)) % 0.53/1.00 (define @t25 () (_ @t24 @t23)) % 0.53/1.00 (define @t26 () (_ @t24 @t2)) % 0.53/1.00 (define @t27 () (@list @t1)) % 0.53/1.00 (define @t28 () (_ tptp.setunion @t2)) % 0.53/1.00 (define @t29 () (_ @t5 @t28)) % 0.53/1.00 (define @t30 () (@list @t2 @t4)) % 0.53/1.00 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.53/1.00 (define @t32 () (_ @t17 @t4)) % 0.53/1.00 (define @t33 () (_ tptp.in @t32)) % 0.53/1.00 (define @t34 () (_ @t33 tptp.omega)) % 0.53/1.00 (define @t35 () (_ @t5 tptp.omega)) % 0.53/1.00 (define @t36 () (forall @t8 (=> @t35 @t34))) % 0.53/1.00 (define @t37 () (= tptp.omegaSAx @t36)) % 0.53/1.00 (define @t38 () (@list @t2)) % 0.53/1.00 (define @t39 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.53/1.00 (define @t40 () (@list @t12)) % 0.53/1.00 (define @t41 () (_ @t39 @t4)) % 0.53/1.00 (define @t42 () (_ @t41 @t12)) % 0.53/1.00 (define @t43 () (exists @t8 @t7)) % 0.53/1.00 (define @t44 () (@var "E" $$unsorted)) % 0.53/1.00 (define @t45 () (@var "D" $$unsorted)) % 0.53/1.00 (define @t46 () (_ @t13 @t45)) % 0.53/1.00 (define @t47 () (@var "C" $$unsorted)) % 0.53/1.00 (define @t48 () (_ @t13 @t47)) % 0.53/1.00 (define @t49 () (_ @t5 @t47)) % 0.53/1.00 (define @t50 () (_ (_ tptp.in @t45) @t1)) % 0.53/1.00 (define @t51 () (forall @t8 (=> @t49 @t7))) % 0.53/1.00 (define @t52 () (@list @t47)) % 0.53/1.00 (define @t53 () (_ @t5 @t45)) % 0.53/1.00 (define @t54 () (_ (_ tptp.in @t47) @t1)) % 0.53/1.00 (define @t55 () (= @t4 @t12)) % 0.53/1.00 (define @t56 () (@list @t4 @t12)) % 0.53/1.00 (define @t57 () (@var "Xphi" (-> $$unsorted Bool))) % 0.53/1.00 (define @t58 () (_ @t57 @t4)) % 0.53/1.00 (define @t59 () (lambda @t8 @t58)) % 0.53/1.00 (define @t60 () (_ tptp.descr @t59)) % 0.53/1.00 (define @t61 () (_ tptp.exu @t59)) % 0.53/1.00 (define @t62 () (@list @t57)) % 0.53/1.00 (define @t63 () (_ @t57 @t12)) % 0.53/1.00 (define @t64 () (lambda @t40 @t63)) % 0.53/1.00 (define @t65 () (_ tptp.dsetconstr @t2)) % 0.53/1.00 (define @t66 () (_ @t65 @t64)) % 0.53/1.00 (define @t67 () (_ @t5 @t66)) % 0.53/1.00 (define @t68 () (@list @t2 @t57 @t4)) % 0.53/1.00 (define @t69 () (=> @t63 @t55)) % 0.53/1.00 (define @t70 () (exists @t8 (and @t58 (forall @t40 @t69)))) % 0.53/1.00 (define @t71 () (@var "Xphi" Bool)) % 0.53/1.00 (define @t72 () (_ tptp.prop2set @t71)) % 0.53/1.00 (define @t73 () (@list @t71 @t4)) % 0.53/1.00 (define @t74 () (@list @t71)) % 0.53/1.00 (define @t75 () (exists @t8 @t58)) % 0.53/1.00 (define @t76 () (=> @t7 @t6)) % 0.53/1.00 (define @t77 () (forall @t8 @t76)) % 0.53/1.00 (define @t78 () (= @t2 tptp.emptyset)) % 0.53/1.00 (define @t79 () (not @t7)) % 0.53/1.00 (define @t80 () (forall @t38 (=> (forall @t8 @t79) @t78))) % 0.53/1.00 (define @t81 () (_ tptp.nonempty @t2)) % 0.53/1.00 (define @t82 () (forall @t38 (_ @t31 @t23))) % 0.53/1.00 (define @t83 () (@list @t2 @t1 @t4)) % 0.53/1.00 (define @t84 () (@list @t2 @t4 @t1)) % 0.53/1.00 (define @t85 () (exists @t8 (forall @t40 (= @t63 @t15)))) % 0.53/1.00 (define @t86 () (_ tptp.setadjoin @t12)) % 0.53/1.00 (define @t87 () (_ @t86 tptp.emptyset)) % 0.53/1.00 (define @t88 () (_ @t5 @t87)) % 0.53/1.00 (define @t89 () (_ @t17 tptp.emptyset)) % 0.53/1.00 (define @t90 () (_ @t13 @t89)) % 0.53/1.00 (define @t91 () (@var "Xz" $$unsorted)) % 0.53/1.00 (define @t92 () (= @t91 @t12)) % 0.53/1.00 (define @t93 () (= @t91 @t4)) % 0.53/1.00 (define @t94 () (_ @t17 @t87)) % 0.53/1.00 (define @t95 () (_ tptp.in @t91)) % 0.53/1.00 (define @t96 () (@list @t4 @t12 @t91)) % 0.53/1.00 (define @t97 () (forall @t96 (=> (_ @t95 @t94) (or @t93 @t92)))) % 0.53/1.00 (define @t98 () (forall @t56 (_ @t13 @t94))) % 0.53/1.00 (define @t99 () (_ @t65 @t59)) % 0.53/1.00 (define @t100 () (exists @t8 (and @t7 @t58))) % 0.53/1.00 (define @t101 () (@list @t2 @t57)) % 0.53/1.00 (define @t102 () (not @t58)) % 0.53/1.00 (define @t103 () (exists @t8 (and @t7 @t102))) % 0.53/1.00 (define @t104 () (not (forall @t8 (=> @t7 @t58)))) % 0.53/1.00 (define @t105 () (forall @t101 (=> @t104 @t103))) % 0.53/1.00 (define @t106 () (not @t100)) % 0.53/1.00 (define @t107 () (forall @t8 (=> @t7 @t102))) % 0.53/1.00 (define @t108 () (forall @t101 (=> @t106 @t107))) % 0.53/1.00 (define @t109 () (=> @t58 @t69)) % 0.53/1.00 (define @t110 () (forall @t56 @t109)) % 0.53/1.00 (define @t111 () (_ @t13 @t1)) % 0.53/1.00 (define @t112 () (forall @t62 (=> @t61 @t110))) % 0.53/1.00 (define @t113 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.53/1.00 (define @t114 () (lambda @t8 (_ @t113 @t4))) % 0.53/1.00 (define @t115 () (_ tptp.exu @t114)) % 0.53/1.00 (define @t116 () (=> @t55 (= @t58 (_ @t113 @t12)))) % 0.53/1.00 (define @t117 () (forall @t56 @t116)) % 0.53/1.00 (define @t118 () (@list @t57 @t113)) % 0.53/1.00 (define @t119 () (@var "Xu" $$unsorted)) % 0.53/1.00 (define @t120 () (= @t91 @t119)) % 0.53/1.00 (define @t121 () (@list @t91 @t119)) % 0.53/1.00 (define @t122 () (_ tptp.powerset @t1)) % 0.53/1.00 (define @t123 () (_ tptp.dsetconstr @t1)) % 0.53/1.00 (define @t124 () (_ tptp.subset @t2)) % 0.53/1.00 (define @t125 () (_ @t124 @t1)) % 0.53/1.00 (define @t126 () (forall @t9 (=> @t77 @t125))) % 0.53/1.00 (define @t127 () (_ tptp.subset @t1)) % 0.53/1.00 (define @t128 () (_ @t127 @t2)) % 0.53/1.00 (define @t129 () (not @t6)) % 0.53/1.00 (define @t130 () (=> @t129 @t79)) % 0.53/1.00 (define @t131 () (not @t125)) % 0.53/1.00 (define @t132 () (not @t3)) % 0.53/1.00 (define @t133 () (@list @t2 @t1 @t47)) % 0.53/1.00 (define @t134 () (_ tptp.in @t2)) % 0.53/1.00 (define @t135 () (_ (_ tptp.binunion @t2) @t1)) % 0.53/1.00 (define @t136 () (_ @t5 @t135)) % 0.53/1.00 (define @t137 () (=> @t6 @t71)) % 0.53/1.00 (define @t138 () (_ tptp.binintersect @t2)) % 0.53/1.00 (define @t139 () (_ @t138 @t1)) % 0.53/1.00 (define @t140 () (_ @t5 @t139)) % 0.53/1.00 (define @t141 () (_ tptp.subset @t47)) % 0.53/1.00 (define @t142 () (_ tptp.subset @t139)) % 0.53/1.00 (define @t143 () (= @t139 @t2)) % 0.53/1.00 (define @t144 () (= @t139 @t1)) % 0.53/1.00 (define @t145 () (_ tptp.setminus @t2)) % 0.53/1.00 (define @t146 () (_ @t145 @t1)) % 0.53/1.00 (define @t147 () (_ @t5 @t146)) % 0.53/1.00 (define @t148 () (= @t146 tptp.emptyset)) % 0.53/1.00 (define @t149 () (not @t147)) % 0.53/1.00 (define @t150 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.53/1.00 (define @t151 () (not @t150)) % 0.53/1.00 (define @t152 () (_ tptp.setadjoin @t89)) % 0.53/1.00 (define @t153 () (_ @t152 (_ (_ tptp.setadjoin @t94) tptp.emptyset))) % 0.53/1.00 (define @t154 () (_ tptp.setunion @t153)) % 0.53/1.00 (define @t155 () (_ tptp.kpair @t4)) % 0.53/1.00 (define @t156 () (_ @t155 @t12)) % 0.53/1.00 (define @t157 () (_ tptp.in @t89)) % 0.53/1.00 (define @t158 () (_ tptp.powerset @t135)) % 0.53/1.00 (define @t159 () (_ tptp.powerset @t158)) % 0.53/1.00 (define @t160 () (_ tptp.in @t156)) % 0.53/1.00 (define @t161 () (_ (_ tptp.cartprod @t2) @t1)) % 0.53/1.00 (define @t162 () (_ @t160 @t161)) % 0.53/1.00 (define @t163 () (_ (_ tptp.in @t119) @t161)) % 0.53/1.00 (define @t164 () (@list @t2 @t1 @t119)) % 0.53/1.00 (define @t165 () (_ tptp.iskpair @t119)) % 0.53/1.00 (define @t166 () (@var "X" $$unsorted)) % 0.53/1.00 (define @t167 () (_ @t5 @t166)) % 0.53/1.00 (define @t168 () (_ tptp.in @t166)) % 0.53/1.00 (define @t169 () (_ @t168 @t2)) % 0.53/1.00 (define @t170 () (@list @t166)) % 0.53/1.00 (define @t171 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.53/1.00 (define @t172 () (forall @t8 (=> @t7 (forall @t40 (=> @t14 @t109))))) % 0.53/1.00 (define @t173 () (_ tptp.ex1 @t2)) % 0.53/1.00 (define @t174 () (_ @t173 @t59)) % 0.53/1.00 (define @t175 () (= @t4 @t91)) % 0.53/1.00 (define @t176 () (_ tptp.setadjoin @t91)) % 0.53/1.00 (define @t177 () (_ @t176 tptp.emptyset)) % 0.53/1.00 (define @t178 () (_ tptp.dsetconstr (_ tptp.setunion @t119))) % 0.53/1.00 (define @t179 () (@list @t119)) % 0.53/1.00 (define @t180 () (_ tptp.setunion @t166)) % 0.53/1.00 (define @t181 () (_ tptp.singleton @t166)) % 0.53/1.00 (define @t182 () (= (_ tptp.kfst @t156) @t4)) % 0.53/1.00 (define @t183 () (_ tptp.kfst @t119)) % 0.53/1.00 (define @t184 () (= @t153 (_ (_ tptp.setadjoin @t177) (_ (_ tptp.setadjoin (_ @t176 (_ (_ tptp.setadjoin @t119) tptp.emptyset))) tptp.emptyset)))) % 0.53/1.00 (define @t185 () (@list @t4 @t12 @t91 @t119)) % 0.53/1.00 (define @t186 () (_ tptp.kpair @t91)) % 0.53/1.00 (define @t187 () (= @t156 (_ @t186 @t119))) % 0.53/1.00 (define @t188 () (= @t12 @t119)) % 0.53/1.00 (define @t189 () (_ tptp.kpair @t183)) % 0.53/1.00 (define @t190 () (= (_ tptp.ksnd @t156) @t12)) % 0.53/1.00 (define @t191 () (_ tptp.ksnd @t119)) % 0.53/1.00 (define @t192 () (= (_ @t189 @t191) @t119)) % 0.53/1.00 (define @t193 () (@list @t2 @t1 @t4 @t12)) % 0.53/1.00 (define @t194 () (_ tptp.dpsetconstr @t2)) % 0.53/1.00 (define @t195 () (_ @t194 @t1)) % 0.53/1.00 (define @t196 () (_ @t160 (_ @t195 (lambda @t121 (_ (_ @t39 @t91) @t119))))) % 0.53/1.00 (define @t197 () (@list @t2 @t1 @t39 @t4)) % 0.53/1.00 (define @t198 () (lambda @t56 @t42)) % 0.53/1.00 (define @t199 () (_ @t195 @t198)) % 0.53/1.00 (define @t200 () (@list @t2 @t1 @t39)) % 0.53/1.00 (define @t201 () (_ (_ tptp.breln @t2) @t1)) % 0.53/1.00 (define @t202 () (=> @t196 @t42)) % 0.53/1.00 (define @t203 () (@list @t2 @t1 @t39 @t4 @t12)) % 0.53/1.00 (define @t204 () (@var "Xf" $$unsorted)) % 0.53/1.00 (define @t205 () (_ @t160 @t204)) % 0.53/1.00 (define @t206 () (_ @t123 (lambda @t40 @t205))) % 0.53/1.00 (define @t207 () (_ (_ tptp.func @t2) @t1)) % 0.53/1.00 (define @t208 () (_ @t207 @t204)) % 0.53/1.00 (define @t209 () (@list @t2 @t1 @t204)) % 0.53/1.00 (define @t210 () (_ (_ tptp.ap @t2) @t1)) % 0.53/1.00 (define @t211 () (_ (_ @t210 @t204) @t4)) % 0.53/1.00 (define @t212 () (forall @t8 (=> @t7 (_ (_ tptp.in @t211) @t1)))) % 0.53/1.00 (define @t213 () (_ tptp.funcSet @t2)) % 0.53/1.00 (define @t214 () (_ @t213 @t1)) % 0.53/1.00 (define @t215 () (_ tptp.in @t204)) % 0.53/1.00 (define @t216 () (_ @t215 @t214)) % 0.53/1.00 (define @t217 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.53/1.00 (define @t218 () (_ @t217 @t4)) % 0.53/1.00 (define @t219 () (forall @t8 (=> @t7 (_ (_ tptp.in @t218) @t1)))) % 0.53/1.00 (define @t220 () (@list @t2 @t1 @t217)) % 0.53/1.00 (define @t221 () (_ (_ tptp.lam @t2) @t1)) % 0.53/1.00 (define @t222 () (_ @t221 (lambda @t8 @t218))) % 0.53/1.00 (define @t223 () (@var "R" $$unsorted)) % 0.53/1.00 (define @t224 () (forall @t8 (=> (_ @t5 @t223) @t58))) % 0.53/1.00 (define @t225 () (_ @t160 @t223)) % 0.53/1.00 (define @t226 () (=> @t225 (_ @t57 @t156))) % 0.53/1.00 (define @t227 () (_ @t201 @t223)) % 0.53/1.00 (define @t228 () (@list @t2 @t1 @t223)) % 0.53/1.00 (define @t229 () (forall @t228 (=> @t227 (forall @t62 (=> (forall @t8 (=> @t7 (forall @t40 (=> @t111 @t226)))) @t224))))) % 0.53/1.00 (define @t230 () (forall @t8 (=> @t7 (_ (_ tptp.in (_ @t155 @t211)) @t204)))) % 0.53/1.00 (define @t231 () (forall @t8 (=> @t7 (forall @t40 (=> @t111 (=> @t205 (= @t211 @t12))))))) % 0.53/1.00 (define @t232 () (@var "Xg" $$unsorted)) % 0.53/1.00 (define @t233 () (forall @t8 (=> @t7 (= @t211 (_ (_ @t210 @t232) @t4))))) % 0.53/1.00 (define @t234 () (_ @t207 @t232)) % 0.53/1.00 (define @t235 () (@list @t232)) % 0.53/1.00 (define @t236 () (@var "S" $$unsorted)) % 0.53/1.00 (define @t237 () (_ (_ tptp.subset @t223) @t236)) % 0.53/1.00 (define @t238 () (_ @t160 @t236)) % 0.53/1.00 (define @t239 () (=> @t225 @t238)) % 0.53/1.00 (define @t240 () (forall @t8 (=> @t7 (forall @t40 (=> @t111 @t239))))) % 0.53/1.00 (define @t241 () (_ @t201 @t236)) % 0.53/1.00 (define @t242 () (@list @t236)) % 0.53/1.00 (define @t243 () (= @t223 @t236)) % 0.53/1.00 (define @t244 () (=> @t238 @t225)) % 0.53/1.00 (define @t245 () (=> @t233 (= @t204 @t232))) % 0.53/1.00 (define @t246 () (_ tptp.in @t232)) % 0.53/1.00 (define @t247 () (forall @t8 (=> @t7 (= @t211 @t211)))) % 0.53/1.00 (define @t248 () (_ @t217 @t12)) % 0.53/1.00 (define @t249 () (lambda @t40 @t248)) % 0.53/1.00 (define @t250 () (forall @t220 (=> @t219 (forall @t8 (=> @t7 (= (_ (_ @t210 (_ @t221 @t249)) @t4) @t218)))))) % 0.53/1.00 (define @t251 () (= (_ @t221 (lambda @t8 @t211)) @t204)) % 0.53/1.00 (define @t252 () (not @t71)) % 0.53/1.00 (define @t253 () (@list @t91)) % 0.53/1.00 (define @t254 () (_ @t65 (lambda @t253 (or (and @t71 @t93) (and @t252 @t92))))) % 0.53/1.00 (define @t255 () (@list @t2 @t71 @t4)) % 0.53/1.00 (define @t256 () (_ (_ (_ (_ tptp.if @t2) @t71) @t4) @t12)) % 0.53/1.00 (define @t257 () (_ tptp.in @t256)) % 0.53/1.00 (define @t258 () (@var "Y" $$unsorted)) % 0.53/1.00 (define @t259 () (_ tptp.binintersect @t166)) % 0.53/1.00 (define @t260 () (_ @t259 @t258)) % 0.53/1.00 (define @t261 () (_ tptp.in @t260)) % 0.53/1.00 (define @t262 () (_ (_ tptp.in @t258) @t23)) % 0.53/1.00 (define @t263 () (@list @t258)) % 0.53/1.00 (define @t264 () (_ @t168 @t23)) % 0.53/1.00 (define @t265 () (@list @t2 @t166)) % 0.53/1.00 (define @t266 () (_ tptp.binunion @t166)) % 0.53/1.00 (define @t267 () (_ @t266 @t258)) % 0.53/1.00 (define @t268 () (_ @t145 @t166)) % 0.53/1.00 (define @t269 () (_ tptp.in @t268)) % 0.53/1.00 (define @t270 () (_ @t5 @t258)) % 0.53/1.00 (define @t271 () (=> @t167 @t270)) % 0.53/1.00 (define @t272 () (forall @t8 (=> @t7 @t271))) % 0.53/1.00 (define @t273 () (_ tptp.subset @t166)) % 0.53/1.00 (define @t274 () (_ @t273 @t258)) % 0.53/1.00 (define @t275 () (_ @t168 (_ tptp.powerset @t258))) % 0.53/1.00 (define @t276 () (_ @t5 @t268)) % 0.53/1.00 (define @t277 () (not @t276)) % 0.53/1.00 (define @t278 () (_ @t5 @t260)) % 0.53/1.00 (define @t279 () (not @t278)) % 0.53/1.00 (define @t280 () (not @t167)) % 0.53/1.00 (define @t281 () (not @t270)) % 0.53/1.00 (define @t282 () (_ @t145 @t258)) % 0.53/1.00 (define @t283 () (_ @t273 @t282)) % 0.53/1.00 (define @t284 () (_ (_ tptp.subset @t282) @t268)) % 0.53/1.00 (define @t285 () (_ @t145 @t268)) % 0.53/1.00 (define @t286 () (_ @t5 @t285)) % 0.53/1.00 (define @t287 () (_ @t145 @t260)) % 0.53/1.00 (define @t288 () (_ @t5 @t287)) % 0.53/1.00 (define @t289 () (forall @t265 (=> @t264 (forall @t263 (=> @t262 (_ @t269 (_ tptp.powerset @t287))))))) % 0.53/1.00 (define @t290 () (_ tptp.subset @t258)) % 0.53/1.00 (define @t291 () (forall @t265 (=> @t264 (forall @t263 (=> @t262 (=> @t283 (_ @t290 @t268))))))) % 0.53/1.00 (define @t292 () (_ @t5 @t267)) % 0.53/1.00 (define @t293 () (not @t292)) % 0.53/1.00 (define @t294 () (@var "Z" $$unsorted)) % 0.53/1.00 (define @t295 () (_ @t266 @t294)) % 0.53/1.00 (define @t296 () (_ (_ tptp.in @t294) @t23)) % 0.53/1.00 (define @t297 () (@list @t294)) % 0.53/1.00 (define @t298 () (_ (_ tptp.binunion @t258) @t294)) % 0.53/1.00 (define @t299 () (_ (_ tptp.binintersect @t295) @t298)) % 0.53/1.00 (define @t300 () (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (_ @t261 (_ tptp.powerset @t299))))))))) % 0.53/1.00 (define @t301 () (_ @t145 @t267)) % 0.53/1.00 (define @t302 () (_ @t5 @t301)) % 0.53/1.00 (define @t303 () (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t302 @t276)))))))) % 0.53/1.00 (define @t304 () (forall @t265 (=> @t264 (forall @t263 (=> @t262 (_ (_ tptp.in @t301) (_ tptp.powerset @t268))))))) % 0.53/1.00 (define @t305 () (_ @t5 @t282)) % 0.53/1.00 (define @t306 () (_ (_ tptp.binunion @t268) @t282)) % 0.53/1.00 (define @t307 () (_ @t5 @t306)) % 0.53/1.00 (define @t308 () (_ (_ tptp.binintersect @t268) @t282)) % 0.53/1.00 (define @t309 () (_ @t5 @t308)) % 0.53/1.00 (define @t310 () (_ tptp.subset @t260)) % 0.53/1.00 (define @t311 () (_ @t310 @t294)) % 0.53/1.00 (define @t312 () (_ @t273 @t294)) % 0.53/1.00 (define @t313 () (@var "W" $$unsorted)) % 0.53/1.00 (define @t314 () (_ (_ tptp.in @t313) @t23)) % 0.53/1.00 (define @t315 () (@list @t313)) % 0.53/1.00 (define @t316 () (_ tptp.breln1 @t2)) % 0.53/1.00 (define @t317 () (_ @t316 @t223)) % 0.53/1.00 (define @t318 () (@list @t2 @t223)) % 0.53/1.00 (define @t319 () (forall @t318 (=> @t317 (forall @t62 (=> (forall @t8 (=> @t7 (forall @t40 (=> @t14 @t226)))) @t224))))) % 0.53/1.00 (define @t320 () (_ tptp.in @t223)) % 0.53/1.00 (define @t321 () (_ tptp.kpair @t12)) % 0.53/1.00 (define @t322 () (forall @t8 (=> @t7 (forall @t40 (=> @t14 @t239))))) % 0.53/1.00 (define @t323 () (_ @t316 @t236)) % 0.53/1.00 (define @t324 () (_ tptp.breln1invset @t2)) % 0.53/1.00 (define @t325 () (_ @t324 @t223)) % 0.53/1.00 (define @t326 () (_ (_ tptp.in (_ @t321 @t4)) @t325)) % 0.53/1.00 (define @t327 () (_ tptp.breln1compset @t2)) % 0.53/1.00 (define @t328 () (_ @t327 @t223)) % 0.53/1.00 (define @t329 () (_ @t328 @t236)) % 0.53/1.00 (define @t330 () (_ @t160 @t329)) % 0.53/1.00 (define @t331 () (_ (_ tptp.in (_ @t186 @t12)) @t236)) % 0.53/1.00 (define @t332 () (_ (_ tptp.in (_ @t155 @t91)) @t223)) % 0.53/1.00 (define @t333 () (_ @t95 @t2)) % 0.53/1.00 (define @t334 () (_ (_ tptp.binunion @t223) @t236)) % 0.53/1.00 (define @t335 () (_ @t160 @t334)) % 0.53/1.00 (define @t336 () (or @t225 @t238)) % 0.53/1.00 (define @t337 () (_ @t324 @t236)) % 0.53/1.00 (define @t338 () (@var "T" $$unsorted)) % 0.53/1.00 (define @t339 () (_ (_ @t327 @t334) @t338)) % 0.53/1.00 (define @t340 () (_ @t316 @t338)) % 0.53/1.00 (define @t341 () (@list @t338)) % 0.53/1.00 (define @t342 () (_ @t327 (_ @t324 @t338))) % 0.53/1.00 (define @t343 () (exists @t40 (and @t14 (= @t4 @t248)))) % 0.53/1.00 (define @t344 () (forall @t8 (= @t6 @t343))) % 0.53/1.00 (define @t345 () (@list @t2 @t217)) % 0.53/1.00 (define @t346 () (_ @t5 (_ (_ tptp.image1 @t2) @t249))) % 0.53/1.00 (define @t347 () (@list @t2 @t217 @t4)) % 0.53/1.00 (define @t348 () (_ @t215 (_ (_ tptp.injFuncSet @t2) @t1))) % 0.53/1.00 (define @t349 () (@list @t4 @t12 @t204)) % 0.53/1.00 (define @t350 () (=> tptp.omegaSp @t36)) % 0.53/1.00 (define @t351 () (=> tptp.notinself2 @t350)) % 0.53/1.00 (define @t352 () (=> tptp.notinself @t351)) % 0.53/1.00 (define @t353 () (=> tptp.foundation2 @t352)) % 0.53/1.00 (define @t354 () (=> tptp.surjCantorThm @t353)) % 0.53/1.00 (define @t355 () (=> tptp.leftInvIsSurj @t354)) % 0.53/1.00 (define @t356 () (=> tptp.surjFuncSetFuncSurj @t355)) % 0.53/1.00 (define @t357 () (=> tptp.surjFuncSetFuncIn @t356)) % 0.53/1.00 (define @t358 () (=> tptp.injFuncSetFuncInj @t357)) % 0.53/1.00 (define @t359 () (=> tptp.injFuncSetFuncIn @t358)) % 0.53/1.00 (define @t360 () (=> tptp.injFuncInInjFuncSet @t359)) % 0.53/1.00 (define @t361 () (=> tptp.image1I @t360)) % 0.53/1.00 (define @t362 () (=> tptp.image1E @t361)) % 0.53/1.00 (define @t363 () (=> tptp.image1Equiv @t362)) % 0.53/1.00 (define @t364 () (=> tptp.image1Ex1 @t363)) % 0.53/1.00 (define @t365 () (=> tptp.image1Ex @t364)) % 0.53/1.00 (define @t366 () (=> tptp.woz2B @t365)) % 0.53/1.00 (define @t367 () (=> tptp.woz2A @t366)) % 0.53/1.00 (define @t368 () (=> tptp.woz2W @t367)) % 0.53/1.00 (define @t369 () (=> tptp.woz2Ex @t368)) % 0.53/1.00 (define @t370 () (=> tptp.breln1unionCommutes @t369)) % 0.53/1.00 (define @t371 () (=> tptp.breln1unionEcases @t370)) % 0.53/1.00 (define @t372 () (=> tptp.breln1unionE @t371)) % 0.53/1.00 (define @t373 () (=> tptp.breln1unionI @t372)) % 0.53/1.00 (define @t374 () (=> tptp.breln1unionIR @t373)) % 0.53/1.00 (define @t375 () (=> tptp.breln1unionIL @t374)) % 0.53/1.00 (define @t376 () (=> tptp.breln1unionprop @t375)) % 0.53/1.00 (define @t377 () (=> tptp.breln1compEex @t376)) % 0.53/1.00 (define @t378 () (=> tptp.breln1compE @t377)) % 0.53/1.00 (define @t379 () (=> tptp.breln1compI @t378)) % 0.53/1.00 (define @t380 () (=> tptp.breln1compprop @t379)) % 0.53/1.00 (define @t381 () (=> tptp.breln1invE @t380)) % 0.53/1.00 (define @t382 () (=> tptp.breln1invI @t381)) % 0.53/1.00 (define @t383 () (=> tptp.breln1invprop @t382)) % 0.53/1.00 (define @t384 () (=> tptp.eqbreln1 @t383)) % 0.53/1.00 (define @t385 () (=> tptp.subbreln1 @t384)) % 0.53/1.00 (define @t386 () (=> tptp.breln1all1 @t385)) % 0.53/1.00 (define @t387 () (=> tptp.setOfPairsIsBReln1 @t386)) % 0.53/1.00 (define @t388 () (=> tptp.choice2fnsingleton @t387)) % 0.53/1.00 (define @t389 () (=> tptp.breln1SetBreln1 @t388)) % 0.53/1.00 (define @t390 () (=> tptp.breln1all2 @t389)) % 0.53/1.00 (define @t391 () (=> tptp.woz1_5 @t390)) % 0.53/1.00 (define @t392 () (=> tptp.woz1_4 @t391)) % 0.53/1.00 (define @t393 () (=> tptp.woz1_3 @t392)) % 0.53/1.00 (define @t394 () (=> tptp.woz1_2 @t393)) % 0.53/1.00 (define @t395 () (=> tptp.woz1_1 @t394)) % 0.53/1.00 (define @t396 () (=> tptp.woz13rule4 @t395)) % 0.53/1.00 (define @t397 () (=> tptp.woz13rule3 @t396)) % 0.53/1.00 (define @t398 () (=> tptp.woz13rule2 @t397)) % 0.53/1.00 (define @t399 () (=> tptp.woz13rule1 @t398)) % 0.53/1.00 (define @t400 () (=> tptp.woz13rule0 @t399)) % 0.53/1.00 (define @t401 () (=> tptp.demorgan2 @t400)) % 0.53/1.00 (define @t402 () (=> tptp.demorgan2b @t401)) % 0.53/1.00 (define @t403 () (=> tptp.demorgan2b2 @t402)) % 0.53/1.00 (define @t404 () (=> tptp.demorgan2a @t403)) % 0.53/1.00 (define @t405 () (=> tptp.demorgan1 @t404)) % 0.53/1.00 (define @t406 () (=> tptp.demorgan1b @t405)) % 0.53/1.00 (define @t407 () (=> tptp.demorgan1a @t406)) % 0.53/1.00 (define @t408 () (=> tptp.demorgan2a2 @t407)) % 0.53/1.00 (define @t409 () (=> tptp.complementUnionInPowersetComplement @t408)) % 0.53/1.00 (define @t410 () (=> tptp.demorgan2a1 @t409)) % 0.53/1.00 (define @t411 () (=> tptp.binunionTEcontra @t410)) % 0.53/1.00 (define @t412 () (=> tptp.binunionTE @t411)) % 0.53/1.00 (define @t413 () (=> tptp.inComplementUnionImpInComplement1 @t412)) % 0.53/1.00 (define @t414 () (=> tptp.inComplementUnionImpNotIn1 @t413)) % 0.53/1.00 (define @t415 () (=> tptp.intersectInPowersetIntersectUnions @t414)) % 0.53/1.00 (define @t416 () (=> tptp.inIntersectImpInIntersectUnions @t415)) % 0.53/1.00 (define @t417 () (=> tptp.inIntersectImpInUnion2 @t416)) % 0.53/1.00 (define @t418 () (=> tptp.inIntersectImpInUnion @t417)) % 0.53/1.00 (define @t419 () (=> tptp.binunionTIRcontra @t418)) % 0.53/1.00 (define @t420 () (=> tptp.binunionTILcontra @t419)) % 0.53/1.00 (define @t421 () (=> tptp.complementTcontraSubset @t420)) % 0.53/1.00 (define @t422 () (=> tptp.contraSubsetComplement @t421)) % 0.53/1.00 (define @t423 () (=> tptp.complementInPowersetComplementIntersect @t422)) % 0.53/1.00 (define @t424 () (=> tptp.complementSubsetComplementIntersect @t423)) % 0.53/1.00 (define @t425 () (=> tptp.complementImpComplementIntersect @t424)) % 0.53/1.00 (define @t426 () (=> tptp.complementTnotintersectT @t425)) % 0.53/1.00 (define @t427 () (=> tptp.doubleComplementEq @t426)) % 0.53/1.00 (define @t428 () (=> tptp.doubleComplementSub2 @t427)) % 0.53/1.00 (define @t429 () (=> tptp.doubleComplementSub1 @t428)) % 0.53/1.00 (define @t430 () (=> tptp.doubleComplementE1 @t429)) % 0.53/1.00 (define @t431 () (=> tptp.doubleComplementI1 @t430)) % 0.53/1.00 (define @t432 () (=> tptp.contrasubsetT3 @t431)) % 0.53/1.00 (define @t433 () (=> tptp.contrasubsetT2 @t432)) % 0.53/1.00 (define @t434 () (=> tptp.contrasubsetT1 @t433)) % 0.53/1.00 (define @t435 () (=> tptp.contrasubsetT @t434)) % 0.53/1.00 (define @t436 () (=> tptp.binintersectTERcontra @t435)) % 0.53/1.00 (define @t437 () (=> tptp.binintersectTELcontra @t436)) % 0.53/1.00 (define @t438 () (=> tptp.complementTE1 @t437)) % 0.53/1.00 (define @t439 () (=> tptp.complementTI1 @t438)) % 0.53/1.00 (define @t440 () (=> tptp.powersetTE1 @t439)) % 0.53/1.00 (define @t441 () (=> tptp.powersetTI1 @t440)) % 0.53/1.00 (define @t442 () (=> tptp.subsetTI @t441)) % 0.53/1.00 (define @t443 () (=> tptp.setextT @t442)) % 0.53/1.00 (define @t444 () (=> tptp.complementT_lem @t443)) % 0.53/1.00 (define @t445 () (=> tptp.setminusT_lem @t444)) % 0.53/1.00 (define @t446 () (=> tptp.powersetT_lem @t445)) % 0.53/1.00 (define @t447 () (=> tptp.binunionT_lem @t446)) % 0.53/1.00 (define @t448 () (=> tptp.binintersectT_lem @t447)) % 0.53/1.00 (define @t449 () (=> tptp.iftrueorfalse @t448)) % 0.53/1.00 (define @t450 () (=> tptp.iffalse @t449)) % 0.53/1.00 (define @t451 () (=> tptp.iftrue @t450)) % 0.53/1.00 (define @t452 () (=> tptp.theeq @t451)) % 0.53/1.00 (define @t453 () (=> tptp.ifp @t452)) % 0.53/1.00 (define @t454 () (=> tptp.ifSingleton @t453)) % 0.53/1.00 (define @t455 () (=> tptp.iftrueProp2 @t454)) % 0.53/1.00 (define @t456 () (=> tptp.iftrueProp1 @t455)) % 0.53/1.00 (define @t457 () (=> tptp.iffalseProp2 @t456)) % 0.53/1.00 (define @t458 () (=> tptp.iffalseProp1 @t457)) % 0.53/1.00 (define @t459 () (=> tptp.eta2 @t458)) % 0.53/1.00 (define @t460 () (=> tptp.beta2 @t459)) % 0.53/1.00 (define @t461 () (=> tptp.lam2lamEq @t460)) % 0.53/1.00 (define @t462 () (=> tptp.eta1 @t461)) % 0.53/1.00 (define @t463 () (=> tptp.beta1 @t462)) % 0.53/1.00 (define @t464 () (=> tptp.ap2apEq2 @t463)) % 0.53/1.00 (define @t465 () (=> tptp.ap2apEq1 @t464)) % 0.53/1.00 (define @t466 () (=> tptp.funcext2 @t465)) % 0.53/1.00 (define @t467 () (=> tptp.funcext @t466)) % 0.53/1.00 (define @t468 () (=> tptp.eqbreln @t467)) % 0.53/1.00 (define @t469 () (=> tptp.subbreln @t468)) % 0.53/1.00 (define @t470 () (=> tptp.funcGraphProp4 @t469)) % 0.53/1.00 (define @t471 () (=> tptp.funcextLem @t470)) % 0.53/1.00 (define @t472 () (=> tptp.funcGraphProp2 @t471)) % 0.53/1.00 (define @t473 () (=> tptp.funcGraphProp3 @t472)) % 0.53/1.00 (define @t474 () (=> tptp.funcGraphProp1 @t473)) % 0.53/1.00 (define @t475 () (=> tptp.ex1E2 @t474)) % 0.53/1.00 (define @t476 () (=> tptp.brelnall2 @t475)) % 0.53/1.00 (define @t477 () (=> tptp.brelnall1 @t476)) % 0.53/1.00 (define @t478 () (=> tptp.lam2p @t477)) % 0.53/1.00 (define @t479 () (=> tptp.lamp @t478)) % 0.53/1.00 (define @t480 () (=> tptp.lamProp @t479)) % 0.53/1.00 (define @t481 () (=> tptp.funcinfuncset @t480)) % 0.53/1.00 (define @t482 () (=> tptp.ap2p @t481)) % 0.53/1.00 (define @t483 () (=> tptp.infuncsetfunc @t482)) % 0.53/1.00 (define @t484 () (=> tptp.app @t483)) % 0.53/1.00 (define @t485 () (=> tptp.apProp @t484)) % 0.53/1.00 (define @t486 () (=> tptp.funcImageSingleton @t485)) % 0.53/1.00 (define @t487 () (=> tptp.dpsetconstrER @t486)) % 0.53/1.00 (define @t488 () (=> tptp.dpsetconstrEL2 @t487)) % 0.53/1.00 (define @t489 () (=> tptp.dpsetconstrEL1 @t488)) % 0.53/1.00 (define @t490 () (=> tptp.dpsetconstrERa @t489)) % 0.53/1.00 (define @t491 () (=> tptp.setOfPairsIsBReln @t490)) % 0.53/1.00 (define @t492 () (=> tptp.dpsetconstrSub @t491)) % 0.53/1.00 (define @t493 () (=> tptp.dpsetconstrI @t492)) % 0.53/1.00 (define @t494 () (=> tptp.cartprodpairsurjEq @t493)) % 0.53/1.00 (define @t495 () (=> tptp.cartprodsndpairEq @t494)) % 0.53/1.00 (define @t496 () (=> tptp.cartprodfstpairEq @t495)) % 0.53/1.00 (define @t497 () (=> tptp.cartprodmempaircEq @t496)) % 0.53/1.00 (define @t498 () (=> tptp.cartprodpairmemER @t497)) % 0.53/1.00 (define @t499 () (=> tptp.cartprodpairmemEL @t498)) % 0.53/1.00 (define @t500 () (=> tptp.cartprodsndin @t499)) % 0.53/1.00 (define @t501 () (=> tptp.kpairsurjEq @t500)) % 0.53/1.00 (define @t502 () (=> tptp.ksndpairEq @t501)) % 0.53/1.00 (define @t503 () (=> tptp.ksndsingleton @t502)) % 0.53/1.00 (define @t504 () (=> tptp.setukpairinjR @t503)) % 0.53/1.00 (define @t505 () (=> tptp.setukpairinjR2 @t504)) % 0.53/1.00 (define @t506 () (=> tptp.upairequniteq @t505)) % 0.53/1.00 (define @t507 () (=> tptp.setukpairinjR1 @t506)) % 0.53/1.00 (define @t508 () (=> tptp.setukpairinjR12 @t507)) % 0.53/1.00 (define @t509 () (=> tptp.setukpairinjR11 @t508)) % 0.53/1.00 (define @t510 () (=> tptp.setukpairinjL @t509)) % 0.53/1.00 (define @t511 () (=> tptp.setukpairinjL2 @t510)) % 0.53/1.00 (define @t512 () (=> tptp.cartprodfstin @t511)) % 0.53/1.00 (define @t513 () (=> tptp.kfstpairEq @t512)) % 0.53/1.00 (define @t514 () (=> tptp.theprop @t513)) % 0.53/1.00 (define @t515 () (=> tptp.kfstsingleton @t514)) % 0.53/1.00 (define @t516 () (=> tptp.setukpairinjL1 @t515)) % 0.53/1.00 (define @t517 () (=> tptp.singletonsuniq @t516)) % 0.53/1.00 (define @t518 () (=> tptp.ex1I2 @t517)) % 0.53/1.00 (define @t519 () (=> tptp.ex1I @t518)) % 0.53/1.00 (define @t520 () (=> tptp.ex1E1 @t519)) % 0.53/1.00 (define @t521 () (=> tptp.singletonprop @t520)) % 0.53/1.00 (define @t522 () (=> tptp.setunionsingleton @t521)) % 0.53/1.00 (define @t523 () (=> tptp.setunionsingleton2 @t522)) % 0.53/1.00 (define @t524 () (=> tptp.setunionsingleton1 @t523)) % 0.53/1.00 (define @t525 () (=> tptp.setunionE2 @t524)) % 0.53/1.00 (define @t526 () (=> tptp.cartprodmempair @t525)) % 0.53/1.00 (define @t527 () (=> tptp.cartprodmempair1 @t526)) % 0.53/1.00 (define @t528 () (=> tptp.cartprodpairin @t527)) % 0.53/1.00 (define @t529 () (=> tptp.ubforcartprodlem3 @t528)) % 0.53/1.00 (define @t530 () (=> tptp.ubforcartprodlem2 @t529)) % 0.53/1.00 (define @t531 () (=> tptp.ubforcartprodlem1 @t530)) % 0.53/1.00 (define @t532 () (=> tptp.upairinpowunion @t531)) % 0.53/1.00 (define @t533 () (=> tptp.upairsubunion @t532)) % 0.53/1.00 (define @t534 () (=> tptp.upairset2E @t533)) % 0.53/1.00 (define @t535 () (=> tptp.singletoninpowunion @t534)) % 0.53/1.00 (define @t536 () (=> tptp.singletoninpowerset @t535)) % 0.53/1.00 (define @t537 () (=> tptp.singletonsubset @t536)) % 0.53/1.00 (define @t538 () (=> tptp.kpairp @t537)) % 0.53/1.00 (define @t539 () (=> tptp.kpairiskpair @t538)) % 0.53/1.00 (define @t540 () (=> tptp.setukpairIR @t539)) % 0.53/1.00 (define @t541 () (=> tptp.setukpairIL @t540)) % 0.53/1.00 (define @t542 () (=> tptp.secondinupair @t541)) % 0.53/1.00 (define @t543 () (=> tptp.symdiffIneg2 @t542)) % 0.53/1.00 (define @t544 () (=> tptp.symdiffIneg1 @t543)) % 0.53/1.00 (define @t545 () (=> tptp.symdiffI2 @t544)) % 0.53/1.00 (define @t546 () (=> tptp.symdiffI1 @t545)) % 0.53/1.00 (define @t547 () (=> tptp.symdiffE @t546)) % 0.53/1.00 (define @t548 () (=> tptp.setminusSubset1 @t547)) % 0.53/1.00 (define @t549 () (=> tptp.setminusLsub @t548)) % 0.53/1.00 (define @t550 () (=> tptp.setminusIRneg @t549)) % 0.53/1.00 (define @t551 () (=> tptp.setminusILneg @t550)) % 0.53/1.00 (define @t552 () (=> tptp.setminusELneg @t551)) % 0.53/1.00 (define @t553 () (=> tptp.setminusERneg @t552)) % 0.53/1.00 (define @t554 () (=> tptp.setminusSubset2 @t553)) % 0.53/1.00 (define @t555 () (=> tptp.setminusER @t554)) % 0.53/1.00 (define @t556 () (=> tptp.setminusEL @t555)) % 0.53/1.00 (define @t557 () (=> tptp.setminusI @t556)) % 0.53/1.00 (define @t558 () (=> tptp.bs114d @t557)) % 0.53/1.00 (define @t559 () (=> tptp.binintersectSubset1 @t558)) % 0.53/1.00 (define @t560 () (=> tptp.binintersectSubset4 @t559)) % 0.53/1.00 (define @t561 () (=> tptp.binintersectRsub @t560)) % 0.53/1.00 (define @t562 () (=> tptp.disjointsetsI1 @t561)) % 0.53/1.00 (define @t563 () (=> tptp.binintersectER @t562)) % 0.53/1.00 (define @t564 () (=> tptp.binintersectSubset3 @t563)) % 0.53/1.00 (define @t565 () (=> tptp.binintersectSubset2 @t564)) % 0.53/1.00 (define @t566 () (=> tptp.binintersectLsub @t565)) % 0.53/1.00 (define @t567 () (=> tptp.binintersectEL @t566)) % 0.53/1.00 (define @t568 () (=> tptp.binintersectSubset5 @t567)) % 0.53/1.00 (define @t569 () (=> tptp.binintersectI @t568)) % 0.53/1.00 (define @t570 () (=> tptp.binunionRsub @t569)) % 0.53/1.00 (define @t571 () (=> tptp.binunionLsub @t570)) % 0.53/1.00 (define @t572 () (=> tptp.binunionE @t571)) % 0.53/1.00 (define @t573 () (=> tptp.binunionEcases @t572)) % 0.53/1.00 (define @t574 () (=> tptp.binunionIR @t573)) % 0.53/1.00 (define @t575 () (=> tptp.upairset2IR @t574)) % 0.53/1.00 (define @t576 () (=> tptp.binunionIL @t575)) % 0.53/1.00 (define @t577 () (=> tptp.sepSubset @t576)) % 0.53/1.00 (define @t578 () (=> tptp.sepInPowerset @t577)) % 0.53/1.00 (define @t579 () (=> tptp.powersetsubset @t578)) % 0.53/1.00 (define @t580 () (=> tptp.inPowerset @t579)) % 0.53/1.00 (define @t581 () (=> tptp.powersetE1 @t580)) % 0.53/1.00 (define @t582 () (=> tptp.powersetI1 @t581)) % 0.53/1.00 (define @t583 () (=> tptp.subsetemptysetimpeq @t582)) % 0.53/1.00 (define @t584 () (=> tptp.setextsub @t583)) % 0.53/1.00 (define @t585 () (=> tptp.subset2powerset @t584)) % 0.53/1.00 (define @t586 () (=> tptp.setadjoinSub2 @t585)) % 0.53/1.00 (define @t587 () (=> tptp.setadjoinSub @t586)) % 0.53/1.00 (define @t588 () (=> tptp.subsetTrans @t587)) % 0.53/1.00 (define @t589 () (=> tptp.subsetRefl @t588)) % 0.53/1.00 (define @t590 () (=> tptp.notequalI2 @t589)) % 0.53/1.00 (define @t591 () (=> tptp.notequalI1 @t590)) % 0.53/1.00 (define @t592 () (=> tptp.notsubsetI @t591)) % 0.53/1.00 (define @t593 () (=> tptp.subsetE2 @t592)) % 0.53/1.00 (define @t594 () (=> tptp.subsetE @t593)) % 0.53/1.00 (define @t595 () (=> tptp.emptysetsubset @t594)) % 0.53/1.00 (define @t596 () (=> tptp.subsetI2 @t595)) % 0.53/1.00 (define @t597 () (=> tptp.eqimpsubset1 @t596)) % 0.53/1.00 (define @t598 () (=> tptp.eqimpsubset2 @t597)) % 0.53/1.00 (define @t599 () (=> tptp.subsetI1 @t598)) % 0.53/1.00 (define @t600 () (=> tptp.dsetconstr__Cong @t599)) % 0.53/1.00 (define @t601 () (=> tptp.descr__Cong @t600)) % 0.53/1.00 (define @t602 () (=> tptp.exuEu @t601)) % 0.53/1.00 (define @t603 () (=> tptp.omega__Cong @t602)) % 0.53/1.00 (define @t604 () (=> tptp.setunion__Cong @t603)) % 0.53/1.00 (define @t605 () (=> tptp.powerset__Cong @t604)) % 0.53/1.00 (define @t606 () (=> tptp.setadjoin__Cong @t605)) % 0.53/1.00 (define @t607 () (=> tptp.emptyset__Cong @t606)) % 0.53/1.00 (define @t608 () (=> tptp.exu__Cong @t607)) % 0.53/1.00 (define @t609 () (=> tptp.exuE3u @t608)) % 0.53/1.00 (define @t610 () (=> tptp.in__Cong @t609)) % 0.53/1.00 (define @t611 () (=> tptp.inCongP @t610)) % 0.53/1.00 (define @t612 () (=> tptp.exuI2 @t611)) % 0.53/1.00 (define @t613 () (=> tptp.exuI3 @t612)) % 0.53/1.00 (define @t614 () (=> tptp.exuI1 @t613)) % 0.53/1.00 (define @t615 () (=> tptp.notdallE @t614)) % 0.53/1.00 (define @t616 () (=> tptp.notdexE @t615)) % 0.53/1.00 (define @t617 () (=> tptp.prop2set2propI @t616)) % 0.53/1.00 (define @t618 () (=> tptp.prop2setI @t617)) % 0.53/1.00 (define @t619 () (=> tptp.quantDeMorgan4 @t618)) % 0.53/1.00 (define @t620 () (=> tptp.quantDeMorgan3 @t619)) % 0.53/1.00 (define @t621 () (=> tptp.quantDeMorgan2 @t620)) % 0.53/1.00 (define @t622 () (=> tptp.quantDeMorgan1 @t621)) % 0.53/1.00 (define @t623 () (=> tptp.vacuousDall @t622)) % 0.53/1.00 (define @t624 () (=> tptp.emptyE1 @t623)) % 0.53/1.00 (define @t625 () (=> tptp.upairsetIR @t624)) % 0.53/1.00 (define @t626 () (=> tptp.upairsetIL @t625)) % 0.53/1.00 (define @t627 () (=> tptp.upairsetE @t626)) % 0.53/1.00 (define @t628 () (=> tptp.singletonsswitch @t627)) % 0.53/1.00 (define @t629 () (=> tptp.eqinunit @t628)) % 0.53/1.00 (define @t630 () (=> tptp.notinsingleton @t629)) % 0.53/1.00 (define @t631 () (=> tptp.uniqinunit @t630)) % 0.53/1.00 (define @t632 () (=> tptp.nonemptyImpWitness @t631)) % 0.53/1.00 (define @t633 () (=> tptp.exuE2 @t632)) % 0.53/1.00 (define @t634 () (=> tptp.subPowSU @t633)) % 0.53/1.00 (define @t635 () (=> tptp.setunionE @t634)) % 0.53/1.00 (define @t636 () (=> tptp.setunionI @t635)) % 0.53/1.00 (define @t637 () (=> tptp.powersetE @t636)) % 0.53/1.00 (define @t638 () (=> tptp.emptyInPowerset @t637)) % 0.53/1.00 (define @t639 () (=> tptp.emptyinPowerset @t638)) % 0.53/1.00 (define @t640 () (=> tptp.powersetI @t639)) % 0.53/1.00 (define @t641 () (=> tptp.setoftrueEq @t640)) % 0.53/1.00 (define @t642 () (=> tptp.setadjoinOr @t641)) % 0.53/1.00 (define @t643 () (=> tptp.setadjoinE @t642)) % 0.53/1.00 (define @t644 () (=> tptp.setadjoinIR @t643)) % 0.53/1.00 (define @t645 () (=> tptp.emptyinunitempty @t644)) % 0.53/1.00 (define @t646 () (=> tptp.setadjoinIL @t645)) % 0.53/1.00 (define @t647 () (=> tptp.nonemptyI1 @t646)) % 0.53/1.00 (define @t648 () (=> tptp.nonemptyI @t647)) % 0.53/1.00 (define @t649 () (=> tptp.nonemptyE1 @t648)) % 0.53/1.00 (define @t650 () (=> tptp.setbeta @t649)) % 0.53/1.00 (define @t651 () (=> tptp.noeltsimpempty @t650)) % 0.53/1.00 (define @t652 () (=> tptp.emptyI @t651)) % 0.53/1.00 (define @t653 () (=> tptp.setext @t652)) % 0.53/1.00 (define @t654 () (=> tptp.exuE3e @t653)) % 0.53/1.00 (define @t655 () (=> tptp.notinemptyset @t654)) % 0.53/1.00 (define @t656 () (=> tptp.emptysetimpfalse @t655)) % 0.53/1.00 (define @t657 () (=> tptp.emptysetE @t656)) % 0.53/1.00 (define @t658 () (=> tptp.prop2setE @t657)) % 0.53/1.00 (define @t659 () (=> tptp.exuE1 @t658)) % 0.53/1.00 (define @t660 () (=> tptp.dsetconstrER @t659)) % 0.53/1.00 (define @t661 () (=> tptp.dsetconstrEL @t660)) % 0.53/1.00 (define @t662 () (=> tptp.dsetconstrI @t661)) % 0.53/1.00 (define @t663 () (=> tptp.descrp @t662)) % 0.53/1.00 (define @t664 () (=> tptp.wellorderingAx @t663)) % 0.53/1.00 (define @t665 () (=> tptp.foundationAx @t664)) % 0.53/1.00 (define @t666 () (=> tptp.replAx @t665)) % 0.53/1.00 (define @t667 () (=> tptp.omegaIndAx @t666)) % 0.53/1.00 (define @t668 () (=> tptp.omegaSAx @t667)) % 0.53/1.00 (define @t669 () (=> tptp.omega0Ax @t668)) % 0.53/1.00 (define @t670 () (=> tptp.setunionAx @t669)) % 0.53/1.00 (define @t671 () (=> tptp.powersetAx @t670)) % 0.53/1.00 (define @t672 () (=> tptp.setadjoinAx @t671)) % 0.53/1.00 (define @t673 () (=> tptp.emptysetAx @t672)) % 0.53/1.00 (define @t674 () (=> tptp.setextAx @t673)) % 0.53/1.00 (define @t675 () (not @t674)) % 0.53/1.00 (define @t676 () (lambda @t62 @t70)) % 0.53/1.00 (define @t677 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.53/1.00 (define @t678 () (lambda @t8 @t32)) % 0.53/1.00 (define @t679 () (tptp.setadjoin @t4 @t4)) % 0.53/1.00 (define @t680 () (tptp.in @t679 tptp.omega)) % 0.53/1.00 (define @t681 () (tptp.in @t4 tptp.omega)) % 0.53/1.00 (define @t682 () (not @t35)) % 0.53/1.00 (define @t683 () (or @t682 @t34)) % 0.53/1.00 (define @t684 () (forall @t8 (or (not @t681) @t680))) % 0.53/1.00 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.53/1.00 (assume @p2 (= tptp.emptysetAx @t11)) % 0.53/1.00 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.53/1.00 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.53/1.00 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.53/1.00 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.53/1.00 (assume @p7 @t37) % 0.53/1.00 (assume @p8 (= tptp.omegaIndAx (forall @t38 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t35 @t7) (_ @t33 @t2)))) (forall @t8 (=> @t35 @t7)))))) % 0.53/1.00 (assume @p9 (= tptp.replAx (forall (@list @t39 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t40 @t42)))) (exists @t27 (forall @t8 (= @t6 (exists @t40 (and @t14 (_ (_ @t39 @t12) @t4)))))))))) % 0.53/1.00 (assume @p10 (= tptp.foundationAx (forall @t38 (=> @t43 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.53/1.00 (assume @p11 (= tptp.wellorderingAx (forall @t38 (exists @t27 (and (forall @t52 (=> @t54 @t51)) (forall @t56 (=> (and @t7 @t14) (=> (forall @t52 (=> @t54 (= @t49 @t48))) @t55))) (forall (@list @t47 @t45) (=> (and @t54 @t50) (or (forall @t8 (=> @t49 @t53)) (forall @t8 (=> @t53 @t49))))) (forall @t52 (=> (and @t51 (exists @t8 @t49)) (exists (@list @t45 @t4) (and @t50 @t49 (not (exists @t40 (and @t46 @t48))) (forall (@list @t44) (=> (_ (_ tptp.in @t44) @t1) (or (forall @t40 (=> (_ @t13 @t44) @t46)) (_ @t5 @t44))))))))))))) % 0.53/1.00 (assume @p12 (= tptp.descrp (forall @t62 (=> @t61 (_ @t57 @t60))))) % 0.53/1.00 (assume @p13 (= tptp.dsetconstrI (forall @t68 (=> @t7 (=> @t58 @t67))))) % 0.53/1.00 (assume @p14 (= tptp.dsetconstrEL (forall @t68 (=> @t67 @t7)))) % 0.53/1.00 (assume @p15 (= tptp.dsetconstrER (forall @t68 (=> @t67 @t58)))) % 0.53/1.00 (assume @p16 (= tptp.exuE1 (forall @t62 (=> @t61 @t70)))) % 0.53/1.00 (assume @p17 (= tptp.prop2setE (forall @t73 (=> (_ @t5 @t72) @t71)))) % 0.53/1.00 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t74 @t71))))) % 0.53/1.00 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.53/1.00 (assume @p20 (= tptp.notinemptyset @t11)) % 0.53/1.00 (assume @p21 (= tptp.exuE3e (forall @t62 (=> @t61 @t75)))) % 0.53/1.00 (assume @p22 (= tptp.setext (forall @t9 (=> @t77 (=> @t22 @t3))))) % 0.53/1.00 (assume @p23 (= tptp.emptyI @t80)) % 0.53/1.00 (assume @p24 (= tptp.noeltsimpempty @t80)) % 0.53/1.00 (assume @p25 (= tptp.setbeta (forall @t68 (=> @t7 (= @t67 @t58))))) % 0.53/1.00 (assume @p26 (= tptp.nonemptyE1 (forall @t38 (=> @t81 @t43)))) % 0.53/1.00 (assume @p27 (= tptp.nonemptyI (forall @t68 (=> @t7 (=> @t58 (_ tptp.nonempty @t66)))))) % 0.53/1.00 (assume @p28 (= tptp.nonemptyI1 (forall @t38 (=> @t43 @t81)))) % 0.53/1.00 (assume @p29 (= tptp.setadjoinIL (forall @t56 (_ @t5 (_ @t17 @t12))))) % 0.53/1.00 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.53/1.00 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.53/1.00 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t74 (=> (=> @t15 @t71) (=> (=> @t14 @t71) @t71))))))) % 0.53/1.00 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.53/1.00 (assume @p34 (= tptp.setoftrueEq (forall @t38 (= (_ @t65 (lambda @t8 true)) @t2)))) % 0.53/1.00 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.53/1.00 (assume @p36 (= tptp.emptyinPowerset @t82)) % 0.53/1.00 (assume @p37 (= tptp.emptyInPowerset @t82)) % 0.53/1.00 (assume @p38 (= tptp.powersetE (forall @t83 (=> @t25 @t21)))) % 0.53/1.00 (assume @p39 (= tptp.setunionI (forall @t84 (=> @t6 (=> @t26 @t29))))) % 0.53/1.00 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t74 (=> (forall @t27 (=> @t6 (=> @t26 @t71))) @t71)))))) % 0.53/1.00 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.53/1.00 (assume @p42 (= tptp.exuE2 (forall @t62 (=> @t61 @t85)))) % 0.53/1.00 (assume @p43 (= tptp.nonemptyImpWitness (forall @t38 (=> @t81 (exists @t8 (and @t7 true)))))) % 0.53/1.00 (assume @p44 (= tptp.uniqinunit (forall @t56 (=> @t88 @t55)))) % 0.53/1.00 (assume @p45 (= tptp.notinsingleton (forall @t56 (=> (not @t55) (not @t90))))) % 0.53/1.00 (assume @p46 (= tptp.eqinunit (forall @t56 (=> @t55 @t88)))) % 0.53/1.00 (assume @p47 (= tptp.singletonsswitch (forall @t56 (=> @t88 @t90)))) % 0.53/1.00 (assume @p48 (= tptp.upairsetE @t97)) % 0.53/1.00 (assume @p49 (= tptp.upairsetIL (forall @t56 (_ @t5 @t94)))) % 0.53/1.00 (assume @p50 (= tptp.upairsetIR @t98)) % 0.53/1.00 (assume @p51 (= tptp.emptyE1 (forall @t101 (=> @t100 (=> (= @t99 tptp.emptyset) false))))) % 0.53/1.00 (assume @p52 (= tptp.vacuousDall (forall (@list @t57 @t4) (=> @t10 @t58)))) % 0.53/1.00 (assume @p53 (= tptp.quantDeMorgan1 @t105)) % 0.53/1.00 (assume @p54 (= tptp.quantDeMorgan2 (forall @t101 (=> @t107 @t106)))) % 0.53/1.00 (assume @p55 (= tptp.quantDeMorgan3 @t108)) % 0.53/1.00 (assume @p56 (= tptp.quantDeMorgan4 (forall @t101 (=> @t103 @t104)))) % 0.53/1.00 (assume @p57 (= tptp.prop2setI (forall @t74 (=> @t71 (_ @t31 @t72))))) % 0.53/1.00 (assume @p58 (= tptp.prop2set2propI (forall @t74 (=> @t71 (_ tptp.set2prop @t72))))) % 0.53/1.00 (assume @p59 (= tptp.notdexE @t108)) % 0.53/1.00 (assume @p60 (= tptp.notdallE @t105)) % 0.53/1.00 (assume @p61 (= tptp.exuI1 (forall @t62 (=> @t70 @t61)))) % 0.53/1.00 (assume @p62 (= tptp.exuI3 (forall @t62 (=> @t75 (=> @t110 @t61))))) % 0.53/1.00 (assume @p63 (= tptp.exuI2 (forall @t62 (=> @t85 @t61)))) % 0.53/1.00 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t56 (=> @t55 (=> @t7 @t111))))))) % 0.53/1.00 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t56 (=> @t55 (= @t7 @t111))))))) % 0.53/1.00 (assume @p66 (= tptp.exuE3u @t112)) % 0.53/1.00 (assume @p67 (= tptp.exu__Cong (forall @t118 (=> @t117 (= @t61 @t115))))) % 0.53/1.00 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.53/1.00 (assume @p69 (= tptp.setadjoin__Cong (forall @t56 (=> @t55 (forall @t121 (=> @t120 (= (_ @t17 @t91) (_ @t86 @t119)))))))) % 0.53/1.00 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t122))))) % 0.53/1.00 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.53/1.00 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.53/1.00 (assume @p73 (= tptp.exuEu @t112)) % 0.53/1.00 (assume @p74 (= tptp.descr__Cong (forall @t118 (=> @t117 (=> @t61 (=> @t115 (= @t60 (_ tptp.descr @t114)))))))) % 0.53/1.00 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t118 (=> (forall @t8 (=> @t7 (forall @t40 (=> @t111 @t116)))) (= @t99 (_ @t123 @t114)))))))) % 0.53/1.00 (assume @p76 (= tptp.subsetI1 @t126)) % 0.53/1.00 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t128)))) % 0.53/1.00 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t125)))) % 0.53/1.00 (assume @p79 (= tptp.subsetI2 @t126)) % 0.53/1.00 (assume @p80 (= tptp.emptysetsubset (forall @t38 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.53/1.00 (assume @p81 (= tptp.subsetE (forall @t83 (=> @t125 @t76)))) % 0.53/1.00 (assume @p82 (= tptp.subsetE2 (forall @t83 (=> @t125 @t130)))) % 0.53/1.00 (assume @p83 (= tptp.notsubsetI (forall @t83 (=> @t7 (=> @t129 @t131))))) % 0.53/1.00 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t131 @t132)))) % 0.53/1.00 (assume @p85 (= tptp.notequalI2 (forall @t83 (=> @t7 (=> @t129 @t132))))) % 0.53/1.00 (assume @p86 (= tptp.subsetRefl (forall @t38 (_ @t124 @t2)))) % 0.53/1.00 (assume @p87 (= tptp.subsetTrans (forall @t133 (=> @t125 (=> (_ @t127 @t47) (_ @t124 @t47)))))) % 0.53/1.00 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t124 @t18)))) % 0.53/1.00 (assume @p89 (= tptp.setadjoinSub2 (forall @t84 (=> @t125 (_ @t124 (_ @t17 @t1)))))) % 0.53/1.00 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t125 (_ @t134 @t122))))) % 0.53/1.00 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t125 (=> @t128 @t3))))) % 0.53/1.00 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t38 (=> (_ @t124 tptp.emptyset) @t78)))) % 0.53/1.00 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t128 @t25)))) % 0.53/1.00 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t128)))) % 0.53/1.00 (assume @p95 (= tptp.inPowerset (forall @t38 (_ @t134 @t23)))) % 0.53/1.00 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t125 (_ (_ tptp.subset @t23) @t122))))) % 0.53/1.00 (assume @p97 (= tptp.sepInPowerset (forall @t101 (_ (_ tptp.in @t99) @t23)))) % 0.53/1.00 (assume @p98 (= tptp.sepSubset (forall @t101 (_ (_ tptp.subset @t99) @t2)))) % 0.53/1.00 (assume @p99 (= tptp.binunionIL (forall @t83 (=> @t7 @t136)))) % 0.53/1.00 (assume @p100 (= tptp.upairset2IR @t98)) % 0.53/1.00 (assume @p101 (= tptp.binunionIR (forall @t83 (=> @t6 @t136)))) % 0.53/1.00 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t71) (=> @t136 (=> (=> @t7 @t71) (=> @t137 @t71)))))) % 0.53/1.00 (assume @p103 (= tptp.binunionE (forall @t83 (=> @t136 (or @t7 @t6))))) % 0.53/1.00 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t124 @t135)))) % 0.53/1.00 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t127 @t135)))) % 0.53/1.00 (assume @p106 (= tptp.binintersectI (forall @t83 (=> @t7 (=> @t6 @t140))))) % 0.53/1.00 (assume @p107 (= tptp.binintersectSubset5 (forall @t133 (=> (_ @t141 @t2) (=> (_ @t141 @t1) (_ @t141 @t139)))))) % 0.53/1.00 (assume @p108 (= tptp.binintersectEL (forall @t83 (=> @t140 @t7)))) % 0.53/1.00 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t142 @t2)))) % 0.53/1.00 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t125 @t143)))) % 0.53/1.00 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t144 @t128)))) % 0.53/1.00 (assume @p112 (= tptp.binintersectER (forall @t83 (=> @t140 @t6)))) % 0.53/1.00 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t139 tptp.emptyset))))) % 0.53/1.00 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t142 @t1)))) % 0.53/1.00 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t128 @t144)))) % 0.53/1.00 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t143 @t125)))) % 0.53/1.00 (assume @p117 (= tptp.bs114d (forall @t133 (= (_ @t138 (_ (_ tptp.binunion @t1) @t47)) (_ (_ tptp.binunion @t139) (_ @t138 @t47)))))) % 0.53/1.00 (assume @p118 (= tptp.setminusI (forall @t83 (=> @t7 (=> @t129 @t147))))) % 0.53/1.00 (assume @p119 (= tptp.setminusEL (forall @t83 (=> @t147 @t7)))) % 0.53/1.00 (assume @p120 (= tptp.setminusER (forall @t83 (=> @t147 @t129)))) % 0.53/1.00 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t125 @t148)))) % 0.53/1.00 (assume @p122 (= tptp.setminusERneg (forall @t83 (=> @t149 @t76)))) % 0.53/1.00 (assume @p123 (= tptp.setminusELneg (forall @t83 (=> @t149 @t130)))) % 0.53/1.00 (assume @p124 (= tptp.setminusILneg (forall @t83 (=> @t79 @t149)))) % 0.53/1.00 (assume @p125 (= tptp.setminusIRneg (forall @t83 (=> @t6 @t149)))) % 0.53/1.00 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t146) @t2)))) % 0.53/1.00 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t148 @t125)))) % 0.53/1.00 (assume @p128 (= tptp.symdiffE (forall @t83 (=> @t150 (forall @t74 (=> (=> @t7 (=> @t129 @t71)) (=> (=> @t79 @t137) @t71))))))) % 0.53/1.00 (assume @p129 (= tptp.symdiffI1 (forall @t83 (=> @t7 (=> @t129 @t150))))) % 0.53/1.00 (assume @p130 (= tptp.symdiffI2 (forall @t83 (=> @t79 (=> @t6 @t150))))) % 0.53/1.00 (assume @p131 (= tptp.symdiffIneg1 (forall @t83 (=> @t7 (=> @t6 @t151))))) % 0.53/1.00 (assume @p132 (= tptp.symdiffIneg2 (forall @t83 (=> @t79 (=> @t129 @t151))))) % 0.53/1.00 (assume @p133 (= tptp.secondinupair @t98)) % 0.53/1.00 (assume @p134 (= tptp.setukpairIL (forall @t56 (_ @t5 @t154)))) % 0.53/1.00 (assume @p135 (= tptp.setukpairIR (forall @t56 (_ @t13 @t154)))) % 0.53/1.00 (assume @p136 (= tptp.kpairiskpair (forall @t56 (_ tptp.iskpair @t153)))) % 0.53/1.00 (assume @p137 (= tptp.kpairp (forall @t56 (_ tptp.iskpair @t156)))) % 0.53/1.00 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t89) @t2))))) % 0.53/1.00 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t157 @t23))))) % 0.53/1.00 (assume @p140 (= tptp.singletoninpowunion (forall @t83 (=> @t7 (_ @t157 @t158))))) % 0.53/1.00 (assume @p141 (= tptp.upairset2E @t97)) % 0.53/1.00 (assume @p142 (= tptp.upairsubunion (forall @t83 (=> @t7 (forall @t40 (=> @t111 (_ (_ tptp.subset @t94) @t135))))))) % 0.53/1.00 (assume @p143 (= tptp.upairinpowunion (forall @t83 (=> @t7 (forall @t40 (=> @t111 (_ (_ tptp.in @t94) @t158))))))) % 0.53/1.00 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t83 (=> @t7 (forall @t40 (=> @t111 (_ (_ tptp.subset @t153) @t158))))))) % 0.53/1.00 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t83 (=> @t7 (forall @t40 (=> @t111 (_ (_ tptp.in @t153) @t159))))))) % 0.53/1.00 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t83 (=> @t7 (forall @t40 (=> @t111 (_ @t160 @t159))))))) % 0.53/1.00 (assume @p147 (= tptp.cartprodpairin (forall @t83 (=> @t7 (forall @t40 (=> @t111 @t162)))))) % 0.53/1.00 (assume @p148 (= tptp.cartprodmempair1 (forall @t164 (=> @t163 (exists @t8 (and @t7 (exists @t40 (and @t111 (= @t119 @t156))))))))) % 0.53/1.00 (assume @p149 (= tptp.cartprodmempair (forall @t164 (=> @t163 @t165)))) % 0.53/1.00 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t170 (and @t169 @t167)))))) % 0.53/1.00 (assume @p151 (= tptp.setunionsingleton1 (forall @t38 (_ (_ tptp.subset @t171) @t2)))) % 0.53/1.00 (assume @p152 (= tptp.setunionsingleton2 (forall @t38 (_ @t124 @t171)))) % 0.53/1.00 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t89) @t4)))) % 0.53/1.00 (assume @p154 (= tptp.singletonprop (forall @t101 (=> @t172 (=> @t100 (_ tptp.singleton @t99)))))) % 0.53/1.00 (assume @p155 (= tptp.ex1E1 (forall @t101 (=> @t174 @t100)))) % 0.53/1.00 (assume @p156 (= tptp.ex1I (forall @t68 (=> @t7 (=> @t58 (=> (forall @t40 (=> @t14 (=> @t63 @t15))) (_ @t173 @t64))))))) % 0.53/1.00 (assume @p157 (= tptp.ex1I2 (forall @t101 (=> @t172 (=> @t100 @t174))))) % 0.53/1.00 (assume @p158 (= tptp.singletonsuniq (forall @t56 (=> (= @t89 @t87) @t55)))) % 0.53/1.00 (assume @p159 (= tptp.setukpairinjL1 (forall @t96 (=> (_ (_ tptp.in @t177) @t153) @t175)))) % 0.53/1.00 (assume @p160 (= tptp.kfstsingleton (forall @t179 (=> @t165 (_ tptp.singleton (_ @t178 (lambda @t8 (_ @t157 @t119)))))))) % 0.53/1.00 (assume @p161 (= tptp.theprop (forall @t170 (=> @t181 (_ (_ tptp.in @t180) @t166))))) % 0.53/1.00 (assume @p162 (= tptp.kfstpairEq (forall @t56 @t182))) % 0.53/1.00 (assume @p163 (= tptp.cartprodfstin (forall @t164 (=> @t163 (_ (_ tptp.in @t183) @t2))))) % 0.53/1.00 (assume @p164 (= tptp.setukpairinjL2 (forall @t185 (=> @t184 @t175)))) % 0.53/1.00 (assume @p165 (= tptp.setukpairinjL (forall @t185 (=> @t187 @t175)))) % 0.53/1.00 (assume @p166 (= tptp.setukpairinjR11 (forall @t56 (=> @t55 (= @t94 @t89))))) % 0.53/1.00 (assume @p167 (= tptp.setukpairinjR12 (forall @t56 (=> @t55 (= @t153 (_ @t152 tptp.emptyset)))))) % 0.53/1.00 (assume @p168 (= tptp.setukpairinjR1 (forall @t185 (=> @t184 (=> @t120 @t188))))) % 0.53/1.00 (assume @p169 (= tptp.upairequniteq (forall @t96 (=> (= @t94 @t177) @t55)))) % 0.53/1.00 (assume @p170 (= tptp.setukpairinjR2 (forall @t185 (=> @t184 @t188)))) % 0.53/1.00 (assume @p171 (= tptp.setukpairinjR (forall @t185 (=> @t187 @t188)))) % 0.53/1.00 (assume @p172 (= tptp.ksndsingleton (forall @t179 (=> @t165 (_ tptp.singleton (_ @t178 (lambda @t8 (= @t119 (_ @t189 @t4))))))))) % 0.53/1.00 (assume @p173 (= tptp.ksndpairEq (forall @t56 @t190))) % 0.53/1.00 (assume @p174 (= tptp.kpairsurjEq (forall @t179 (=> @t165 @t192)))) % 0.53/1.00 (assume @p175 (= tptp.cartprodsndin (forall @t164 (=> @t163 (_ (_ tptp.in @t191) @t1))))) % 0.53/1.00 (assume @p176 (= tptp.cartprodpairmemEL (forall @t193 (=> @t162 @t7)))) % 0.53/1.00 (assume @p177 (= tptp.cartprodpairmemER (forall @t193 (=> @t162 @t111)))) % 0.53/1.00 (assume @p178 (= tptp.cartprodmempaircEq (forall @t83 (=> @t7 (forall @t40 (=> @t111 (= @t156 @t156))))))) % 0.53/1.00 (assume @p179 (= tptp.cartprodfstpairEq (forall @t83 (=> @t7 (forall @t40 (=> @t111 @t182)))))) % 0.53/1.00 (assume @p180 (= tptp.cartprodsndpairEq (forall @t83 (=> @t7 (forall @t40 (=> @t111 @t190)))))) % 0.53/1.00 (assume @p181 (= tptp.cartprodpairsurjEq (forall @t164 (=> @t163 @t192)))) % 0.53/1.00 (assume @p182 (= tptp.dpsetconstrI (forall @t197 (=> @t7 (forall @t40 (=> @t111 (=> @t42 @t196))))))) % 0.53/1.00 (assume @p183 (= tptp.dpsetconstrSub (forall @t200 (_ (_ tptp.subset @t199) @t161)))) % 0.53/1.00 (assume @p184 (= tptp.setOfPairsIsBReln (forall @t200 (_ @t201 @t199)))) % 0.53/1.00 (assume @p185 (= tptp.dpsetconstrERa (forall @t197 (=> @t7 (forall @t40 (=> @t111 @t202)))))) % 0.53/1.00 (assume @p186 (= tptp.dpsetconstrEL1 (forall @t203 (=> @t196 @t7)))) % 0.53/1.00 (assume @p187 (= tptp.dpsetconstrEL2 (forall @t203 (=> @t196 @t111)))) % 0.53/1.00 (assume @p188 (= tptp.dpsetconstrER (forall @t203 @t202))) % 0.53/1.00 (assume @p189 (= tptp.funcImageSingleton (forall @t209 (=> @t208 (forall @t8 (=> @t7 (_ tptp.singleton @t206))))))) % 0.53/1.00 (assume @p190 (= tptp.apProp (forall @t209 (=> @t208 (forall @t8 (=> @t7 (_ (_ tptp.in (_ tptp.setunion @t206)) @t1))))))) % 0.53/1.00 (assume @p191 (= tptp.app (forall @t209 (=> @t208 @t212)))) % 0.53/1.00 (assume @p192 (= tptp.infuncsetfunc (forall @t209 (=> @t216 @t208)))) % 0.53/1.00 (assume @p193 (= tptp.ap2p (forall @t209 (=> @t216 @t212)))) % 0.53/1.00 (assume @p194 (= tptp.funcinfuncset (forall @t209 (=> @t208 @t216)))) % 0.53/1.00 (assume @p195 (= tptp.lamProp (forall @t220 (=> @t219 (_ @t207 (_ @t195 (lambda @t56 (= @t218 @t12)))))))) % 0.53/1.00 (assume @p196 (= tptp.lamp (forall @t220 (=> @t219 (_ @t207 @t222))))) % 0.53/1.00 (assume @p197 (= tptp.lam2p (forall @t220 (=> @t219 (_ (_ tptp.in @t222) @t214))))) % 0.53/1.00 (assume @p198 (= tptp.brelnall1 @t229)) % 0.53/1.00 (assume @p199 (= tptp.brelnall2 @t229)) % 0.53/1.00 (assume @p200 (= tptp.ex1E2 (forall @t101 (=> @t174 @t172)))) % 0.53/1.00 (assume @p201 (= tptp.funcGraphProp1 (forall @t209 (=> @t208 @t230)))) % 0.53/1.00 (assume @p202 (= tptp.funcGraphProp3 (forall @t209 (=> @t216 @t230)))) % 0.53/1.00 (assume @p203 (= tptp.funcGraphProp2 (forall @t209 (=> @t208 @t231)))) % 0.53/1.00 (assume @p204 (= tptp.funcextLem (forall @t209 (=> @t208 (forall @t235 (=> @t234 (=> @t233 (forall @t8 (=> @t7 (forall @t40 (=> @t111 (=> (_ @t160 @t232) @t205)))))))))))) % 0.53/1.00 (assume @p205 (= tptp.funcGraphProp4 (forall @t209 (=> @t216 @t231)))) % 0.53/1.00 (assume @p206 (= tptp.subbreln (forall @t228 (=> @t227 (forall @t242 (=> @t241 (=> @t240 @t237))))))) % 0.53/1.00 (assume @p207 (= tptp.eqbreln (forall @t228 (=> @t227 (forall @t242 (=> @t241 (=> @t240 (=> (forall @t8 (=> @t7 (forall @t40 (=> @t111 @t244)))) @t243)))))))) % 0.53/1.00 (assume @p208 (= tptp.funcext (forall @t209 (=> @t208 (forall @t235 (=> @t234 @t245)))))) % 0.53/1.00 (assume @p209 (= tptp.funcext2 (forall @t209 (=> @t216 (forall @t235 (=> (_ @t246 @t214) @t245)))))) % 0.53/1.00 (assume @p210 (= tptp.ap2apEq1 (forall @t209 (=> @t216 @t247)))) % 0.53/1.00 (assume @p211 (= tptp.ap2apEq2 (forall @t209 (=> @t208 @t247)))) % 0.53/1.00 (assume @p212 (= tptp.beta1 @t250)) % 0.53/1.00 (assume @p213 (= tptp.eta1 (forall @t209 (=> @t208 @t251)))) % 0.53/1.00 (assume @p214 (= tptp.lam2lamEq (forall @t220 (=> @t219 (= @t222 @t222))))) % 0.53/1.00 (assume @p215 (= tptp.beta2 @t250)) % 0.53/1.00 (assume @p216 (= tptp.eta2 (forall @t209 (=> @t216 @t251)))) % 0.53/1.00 (assume @p217 (= tptp.iffalseProp1 (forall @t255 (=> @t7 (forall @t40 (=> @t14 (=> @t252 (_ @t13 @t254)))))))) % 0.53/1.00 (assume @p218 (= tptp.iffalseProp2 (forall @t255 (=> @t7 (forall @t40 (=> @t14 (=> @t252 (= @t254 @t87)))))))) % 0.53/1.00 (assume @p219 (= tptp.iftrueProp1 (forall @t255 (=> @t7 (forall @t40 (=> @t14 (=> @t71 (_ @t5 @t254)))))))) % 0.53/1.00 (assume @p220 (= tptp.iftrueProp2 (forall @t255 (=> @t7 (forall @t40 (=> @t14 (=> @t71 (= @t254 @t89)))))))) % 0.53/1.00 (assume @p221 (= tptp.ifSingleton (forall @t255 (=> @t7 (forall @t40 (=> @t14 (_ tptp.singleton @t254))))))) % 0.53/1.00 (assume @p222 (= tptp.ifp (forall @t255 (=> @t7 (forall @t40 (=> @t14 (_ @t257 @t2))))))) % 0.53/1.00 (assume @p223 (= tptp.theeq (forall @t170 (=> @t181 (forall @t8 (=> @t167 (= @t180 @t4))))))) % 0.53/1.00 (assume @p224 (= tptp.iftrue (forall @t255 (=> @t7 (forall @t40 (=> @t14 (=> @t71 (= @t256 @t4)))))))) % 0.53/1.00 (assume @p225 (= tptp.iffalse (forall @t255 (=> @t7 (forall @t40 (=> @t14 (=> @t252 (= @t256 @t12)))))))) % 0.53/1.00 (assume @p226 (= tptp.iftrueorfalse (forall @t255 (=> @t7 (forall @t40 (=> @t14 (_ @t257 @t94))))))) % 0.53/1.00 (assume @p227 (= tptp.binintersectT_lem (forall @t265 (=> @t264 (forall @t263 (=> @t262 (_ @t261 @t23))))))) % 0.53/1.00 (assume @p228 (= tptp.binunionT_lem (forall @t265 (=> @t264 (forall @t263 (=> @t262 (_ (_ tptp.in @t267) @t23))))))) % 0.53/1.00 (assume @p229 (= tptp.powersetT_lem (forall @t265 (=> @t264 (_ (_ tptp.in (_ tptp.powerset @t166)) (_ tptp.powerset @t23)))))) % 0.53/1.00 (assume @p230 (= tptp.setminusT_lem (forall @t265 (=> @t264 (forall @t263 (=> @t262 (_ (_ tptp.in (_ (_ tptp.setminus @t166) @t258)) @t23))))))) % 0.53/1.00 (assume @p231 (= tptp.complementT_lem (forall @t265 (=> @t264 (_ @t269 @t23))))) % 0.53/1.00 (assume @p232 (= tptp.setextT (forall @t265 (=> @t264 (forall @t263 (=> @t262 (=> @t272 (=> (forall @t8 (=> @t7 (=> @t270 @t167))) (= @t166 @t258))))))))) % 0.53/1.00 (assume @p233 (= tptp.subsetTI (forall @t265 (=> @t264 (forall @t263 (=> @t262 (=> @t272 @t274))))))) % 0.53/1.00 (assume @p234 (= tptp.powersetTI1 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (=> @t272 @t275))))))) % 0.53/1.00 (assume @p235 (= tptp.powersetTE1 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t275 @t271))))))))) % 0.53/1.00 (assume @p236 (= tptp.complementTI1 (forall @t265 (=> @t264 (forall @t8 (=> @t7 (=> @t167 @t277))))))) % 0.53/1.00 (assume @p237 (= tptp.complementTE1 (forall @t265 (=> @t264 (forall @t8 (=> @t7 (=> @t277 @t167))))))) % 0.53/1.00 (assume @p238 (= tptp.binintersectTELcontra (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t280 @t279))))))))) % 0.53/1.00 (assume @p239 (= tptp.binintersectTERcontra (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t281 @t279))))))))) % 0.53/1.00 (assume @p240 (= tptp.contrasubsetT (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t283 (=> @t270 @t280)))))))))) % 0.53/1.00 (assume @p241 (= tptp.contrasubsetT1 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t274 (=> @t281 @t280)))))))))) % 0.53/1.00 (assume @p242 (= tptp.contrasubsetT2 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (=> @t274 @t284))))))) % 0.53/1.00 (assume @p243 (= tptp.contrasubsetT3 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (=> @t284 @t274))))))) % 0.53/1.00 (assume @p244 (= tptp.doubleComplementI1 (forall @t265 (=> @t264 (forall @t8 (=> @t7 (=> @t167 @t286))))))) % 0.53/1.00 (assume @p245 (= tptp.doubleComplementE1 (forall @t265 (=> @t264 (forall @t8 (=> @t7 (=> @t286 @t167))))))) % 0.53/1.00 (assume @p246 (= tptp.doubleComplementSub1 (forall @t265 (=> @t264 (_ @t273 @t285))))) % 0.53/1.00 (assume @p247 (= tptp.doubleComplementSub2 (forall @t265 (=> @t264 (_ (_ tptp.subset @t285) @t166))))) % 0.53/1.00 (assume @p248 (= tptp.doubleComplementEq (forall @t265 (=> @t264 (= @t166 @t285))))) % 0.53/1.00 (assume @p249 (= tptp.complementTnotintersectT (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t276 @t279))))))))) % 0.53/1.00 (assume @p250 (= tptp.complementImpComplementIntersect (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t276 @t288))))))))) % 0.53/1.00 (assume @p251 (= tptp.complementSubsetComplementIntersect (forall @t265 (=> @t264 (forall @t263 (=> @t262 (_ (_ tptp.subset @t268) @t287))))))) % 0.53/1.00 (assume @p252 (= tptp.complementInPowersetComplementIntersect @t289)) % 0.53/1.00 (assume @p253 (= tptp.contraSubsetComplement (forall @t265 (=> @t264 (forall @t263 (=> @t262 (=> @t283 (forall @t8 (=> @t7 (=> @t270 @t276)))))))))) % 0.53/1.00 (assume @p254 (= tptp.complementTcontraSubset @t291)) % 0.53/1.00 (assume @p255 (= tptp.binunionTILcontra (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t293 @t280))))))))) % 0.53/1.00 (assume @p256 (= tptp.binunionTIRcontra (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t293 @t281))))))))) % 0.53/1.00 (assume @p257 (= tptp.inIntersectImpInUnion (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (forall @t8 (=> @t7 (=> @t278 (_ @t5 @t295)))))))))))) % 0.53/1.00 (assume @p258 (= tptp.inIntersectImpInUnion2 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (forall @t8 (=> @t7 (=> @t278 (_ @t5 @t298)))))))))))) % 0.53/1.00 (assume @p259 (= tptp.inIntersectImpInIntersectUnions (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (forall @t8 (=> @t7 (=> @t278 (_ @t5 @t299)))))))))))) % 0.53/1.00 (assume @p260 (= tptp.intersectInPowersetIntersectUnions @t300)) % 0.53/1.00 (assume @p261 (= tptp.inComplementUnionImpNotIn1 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t302 @t280))))))))) % 0.53/1.00 (assume @p262 (= tptp.inComplementUnionImpInComplement1 @t303)) % 0.53/1.00 (assume @p263 (= tptp.binunionTE (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t73 (=> @t7 (=> @t292 (=> (=> @t167 @t71) (=> (=> @t270 @t71) @t71))))))))))) % 0.53/1.00 (assume @p264 (= tptp.binunionTEcontra (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t280 (=> @t281 @t293)))))))))) % 0.53/1.00 (assume @p265 (= tptp.demorgan2a1 @t303)) % 0.53/1.00 (assume @p266 (= tptp.complementUnionInPowersetComplement @t304)) % 0.53/1.00 (assume @p267 (= tptp.demorgan2a2 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t302 @t305))))))))) % 0.53/1.00 (assume @p268 (= tptp.demorgan1a (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t288 @t307))))))))) % 0.53/1.00 (assume @p269 (= tptp.demorgan1b (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t307 @t288))))))))) % 0.53/1.00 (assume @p270 (= tptp.demorgan1 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (= @t287 @t306))))))) % 0.53/1.00 (assume @p271 (= tptp.demorgan2a (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t302 @t309))))))))) % 0.53/1.00 (assume @p272 (= tptp.demorgan2b2 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t276 (=> @t305 @t302)))))))))) % 0.53/1.00 (assume @p273 (= tptp.demorgan2b (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t7 (=> @t309 @t302))))))))) % 0.53/1.00 (assume @p274 (= tptp.demorgan2 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (= @t301 @t308))))))) % 0.53/1.00 (assume @p275 (= tptp.woz13rule0 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t8 (=> @t278 @t7)))))))) % 0.53/1.00 (assume @p276 (= tptp.woz13rule1 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (=> @t312 @t311))))))))) % 0.53/1.00 (assume @p277 (= tptp.woz13rule2 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (=> (_ @t290 @t294) @t311))))))))) % 0.53/1.00 (assume @p278 (= tptp.woz13rule3 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (=> @t274 (=> @t312 (_ @t273 (_ (_ tptp.binintersect @t258) @t294)))))))))))) % 0.53/1.00 (assume @p279 (= tptp.woz13rule4 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (forall @t315 (=> @t314 (=> @t312 (=> (_ @t290 @t313) (_ @t310 (_ (_ tptp.binintersect @t294) @t313)))))))))))))) % 0.53/1.00 (assume @p280 (= tptp.woz1_1 @t289)) % 0.53/1.00 (assume @p281 (= tptp.woz1_2 (forall @t265 (=> @t264 (forall @t263 (=> @t262 (forall @t297 (=> @t296 (forall @t315 (=> @t314 (= (_ @t145 (_ (_ tptp.binintersect @t267) (_ (_ tptp.binunion @t294) @t313))) (_ (_ tptp.binunion @t308) (_ (_ tptp.binintersect (_ @t145 @t294)) (_ @t145 @t313)))))))))))))) % 0.53/1.00 (assume @p282 (= tptp.woz1_3 @t300)) % 0.53/1.00 (assume @p283 (= tptp.woz1_4 @t291)) % 0.53/1.00 (assume @p284 (= tptp.woz1_5 @t304)) % 0.53/1.00 (assume @p285 (= tptp.breln1all2 @t319)) % 0.53/1.00 (assume @p286 (= tptp.breln1SetBreln1 (forall @t318 (=> (_ @t320 (_ tptp.breln1Set @t2)) @t317)))) % 0.53/1.00 (assume @p287 (= tptp.choice2fnsingleton (forall @t200 (=> (forall @t8 (=> @t7 (exists @t40 (and @t111 @t42)))) (forall (@list @t223) (=> (_ @t320 (_ tptp.breln1Set @t1)) (=> (_ (_ tptp.reflwellordering @t1) @t223) (forall @t8 (=> @t7 (_ tptp.singleton (_ @t123 (lambda @t40 (and @t42 (forall @t253 (=> (_ @t95 @t1) (=> (_ @t41 @t91) (_ (_ tptp.in (_ @t321 @t91)) @t223))))))))))))))))) % 0.53/1.00 (assume @p288 (= tptp.setOfPairsIsBReln1 (forall (@list @t2 @t39) (_ @t316 (_ (_ @t194 @t2) @t198))))) % 0.53/1.00 (assume @p289 (= tptp.breln1all1 @t319)) % 0.53/1.00 (assume @p290 (= tptp.subbreln1 (forall @t318 (=> @t317 (forall @t242 (=> @t323 (=> @t322 @t237))))))) % 0.53/1.00 (assume @p291 (= tptp.eqbreln1 (forall @t318 (=> @t317 (forall @t242 (=> @t323 (=> @t322 (=> (forall @t8 (=> @t7 (forall @t40 (=> @t14 @t244)))) @t243)))))))) % 0.53/1.00 (assume @p292 (= tptp.breln1invprop (forall @t318 (=> @t317 (_ @t316 @t325))))) % 0.53/1.00 (assume @p293 (= tptp.breln1invI (forall @t318 (=> @t317 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t225 @t326))))))))) % 0.53/1.00 (assume @p294 (= tptp.breln1invE (forall @t318 (=> @t317 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t326 @t225))))))))) % 0.53/1.00 (assume @p295 (= tptp.breln1compprop (forall @t318 (=> @t317 (forall @t242 (=> @t323 (_ @t316 @t329))))))) % 0.53/1.00 (assume @p296 (= tptp.breln1compI (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (forall @t253 (=> @t333 (=> @t332 (=> @t331 @t330)))))))))))))) % 0.53/1.00 (assume @p297 (= tptp.breln1compE (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t330 (exists @t253 (and @t333 @t332 @t331))))))))))))) % 0.53/1.00 (assume @p298 (= tptp.breln1compEex (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t330 (forall @t74 (=> (forall @t253 (=> @t333 (=> @t332 (=> @t331 @t71)))) @t71))))))))))))) % 0.53/1.00 (assume @p299 (= tptp.breln1unionprop (forall @t318 (=> @t317 (forall @t242 (=> @t323 (_ @t316 @t334))))))) % 0.53/1.00 (assume @p300 (= tptp.breln1unionIL (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t225 @t335))))))))))) % 0.53/1.00 (assume @p301 (= tptp.breln1unionIR (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t238 @t335))))))))))) % 0.53/1.00 (assume @p302 (= tptp.breln1unionI (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t336 @t335))))))))))) % 0.53/1.00 (assume @p303 (= tptp.breln1unionE (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t335 @t336))))))))))) % 0.53/1.00 (assume @p304 (= tptp.breln1unionEcases (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t8 (=> @t7 (forall @t40 (=> @t14 (=> @t335 (forall @t74 (=> (=> @t225 @t71) (=> (=> @t238 @t71) @t71)))))))))))))) % 0.53/1.00 (assume @p305 (= tptp.breln1unionCommutes (forall @t318 (=> @t317 (forall @t242 (=> @t323 (= @t334 (_ (_ tptp.binunion @t236) @t223)))))))) % 0.53/1.00 (assume @p306 (= tptp.woz2Ex (forall @t318 (=> @t317 (= @t223 (_ @t324 @t325)))))) % 0.53/1.00 (assume @p307 (= tptp.woz2W (forall @t318 (=> @t317 (forall @t242 (=> @t323 (= (_ @t324 @t329) (_ (_ @t327 @t337) @t325)))))))) % 0.53/1.00 (assume @p308 (= tptp.woz2A (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t341 (=> @t340 (= @t339 (_ (_ tptp.binunion (_ @t328 @t338)) (_ (_ @t327 @t236) @t338))))))))))) % 0.53/1.00 (assume @p309 (= tptp.woz2B (forall @t318 (=> @t317 (forall @t242 (=> @t323 (forall @t341 (=> @t340 (= @t339 (_ (_ tptp.binunion (_ @t324 (_ @t342 @t337))) (_ @t324 (_ @t342 @t325)))))))))))) % 0.53/1.00 (assume @p310 (= tptp.image1Ex (forall @t345 (exists @t27 @t344)))) % 0.53/1.00 (assume @p311 (= tptp.image1Ex1 (forall @t345 (_ tptp.exu (lambda @t27 @t344))))) % 0.53/1.00 (assume @p312 (= tptp.image1Equiv (forall @t347 (= @t346 @t343)))) % 0.53/1.00 (assume @p313 (= tptp.image1E (forall @t347 (=> @t346 @t343)))) % 0.53/1.00 (assume @p314 (= tptp.image1I (forall @t347 (=> @t343 @t346)))) % 0.53/1.00 (assume @p315 (= tptp.injFuncInInjFuncSet (forall @t209 (=> @t216 (=> (_ (_ (_ tptp.injective @t2) @t1) @t204) @t348))))) % 0.53/1.00 (assume @p316 (= tptp.injFuncSetFuncIn (forall @t209 (=> @t348 @t216)))) % 0.53/1.00 (assume @p317 (= tptp.injFuncSetFuncInj (forall @t349 (=> (_ @t215 (_ (_ tptp.injFuncSet @t4) @t12)) (_ (_ (_ tptp.injective @t4) @t12) @t204))))) % 0.53/1.00 (assume @p318 (= tptp.surjFuncSetFuncIn (forall @t209 (=> (_ @t215 (_ (_ tptp.surjFuncSet @t2) @t1)) @t216)))) % 0.53/1.00 (assume @p319 (= tptp.surjFuncSetFuncSurj (forall @t349 (=> (_ @t215 (_ (_ tptp.surjFuncSet @t4) @t12)) (_ (_ (_ tptp.surjective @t4) @t12) @t204))))) % 0.53/1.00 (assume @p320 (= tptp.leftInvIsSurj (forall @t220 (=> @t219 (forall @t235 (=> (_ @t246 (_ (_ tptp.funcSet @t1) @t2)) (=> (forall @t8 (=> @t7 (= (_ (_ (_ (_ tptp.ap @t1) @t2) @t232) @t218) @t4))) (_ (_ (_ tptp.surjective @t1) @t2) @t232)))))))) % 0.53/1.00 (assume @p321 (= tptp.surjCantorThm (forall (@list @t2 @t204) (=> (_ @t215 (_ @t213 @t23)) (not (_ (_ (_ tptp.surjective @t2) @t23) @t204)))))) % 0.53/1.00 (assume @p322 (= tptp.foundation2 (forall @t38 (=> @t81 (exists @t170 (and @t169 (= (_ @t259 @t2) tptp.emptyset))))))) % 0.53/1.00 (assume @p323 (= tptp.notinself (forall @t38 (not (_ @t134 @t2))))) % 0.53/1.00 (assume @p324 (= tptp.notinself2 (forall @t9 (=> (_ @t134 @t1) (not @t26))))) % 0.53/1.00 (assume @p325 (= tptp.omegaSp (forall @t8 (=> @t35 (_ (_ tptp.in (_ tptp.omegaS @t4)) tptp.omega))))) % 0.53/1.00 (assume @p326 @t675) % 0.53/1.00 (assume @p327 true) % 0.53/1.00 (step @p328 (= tptp.exu @t676) :rule refl :args (@t676)) % 0.53/1.00 (step @p329 (= tptp.nonempty @t677) :rule refl :args (@t677)) % 0.53/1.00 (step @p330 (= tptp.omegaS @t678) :rule refl :args (@t678)) % 0.53/1.00 (step @p331 :rule refl :args ((tptp.in @t32 tptp.omega))) % 0.53/1.00 (step @p332 :rule refl :args (tptp.omega)) % 0.53/1.00 (step @p333 :rule refl :args (@t679)) % 0.53/1.00 (step @p334 :rule cong :premises (@p333 @p332) :args (@t680)) % 0.53/1.00 (step @p335 :rule trans :premises (@p334 @p331)) % 0.53/1.00 (step @p336 :rule refl :args (tptp.in)) % 0.53/1.00 (step @p337 :rule ho_cong :premises (@p336 @p333)) % 0.53/1.00 (step @p338 :rule ho_cong :premises (@p337 @p332)) % 0.53/1.00 (step @p339 :rule cong :premises (@p338 @p335) :args ((= (_ (_ tptp.in @t679) tptp.omega) @t680))) % 0.53/1.00 (step @p340 :rule symm :premises (@p339)) % 0.53/1.00 (step @p341 :rule refl :args (@t34)) % 0.53/1.00 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 0.53/1.00 (step @p343 :rule refl :args (@t32)) % 0.53/1.00 (step @p344 :rule cong :premises (@p343 @p333) :args ((= @t32 @t679))) % 0.53/1.00 (step @p345 :rule symm :premises (@p344)) % 0.53/1.00 (step @p346 :rule eq_resolve :premises (@p343 @p345)) % 0.53/1.00 (step @p347 :rule ho_cong :premises (@p336 @p346)) % 0.53/1.00 (step @p348 :rule ho_cong :premises (@p347 @p332)) % 0.53/1.00 (step @p349 :rule trans :premises (@p348 @p342)) % 0.53/1.00 (step @p350 :rule refl :args (@t681)) % 0.53/1.00 (step @p351 :rule refl :args (@t35)) % 0.53/1.00 (step @p352 :rule cong :premises (@p351 @p350) :args ((= @t35 @t681))) % 0.53/1.00 (step @p353 :rule symm :premises (@p352)) % 0.53/1.00 (step @p354 :rule eq_resolve :premises (@p351 @p353)) % 0.53/1.00 (step @p355 :rule cong :premises (@p354) :args (@t682)) % 0.53/1.00 (step @p356 :rule nary_cong :premises (@p355 @p349) :args (@t683)) % 0.53/1.00 (step @p357 :rule cong :premises (@p356) :args ((forall @t8 @t683))) % 0.53/1.00 (step @p358 :rule bool-impl-elim :args (@t35 @t34)) % 0.53/1.00 (step @p359 :rule cong :premises (@p358) :args (@t36)) % 0.53/1.00 (step @p360 :rule trans :premises (@p359 @p357)) % 0.53/1.00 (step @p361 :rule refl :args (tptp.omegaSp)) % 0.53/1.00 (step @p362 :rule cong :premises (@p361 @p360) :args (@t350)) % 0.53/1.00 (step @p363 :rule refl :args (tptp.notinself2)) % 0.53/1.00 (step @p364 :rule cong :premises (@p363 @p362) :args (@t351)) % 0.53/1.00 (step @p365 :rule refl :args (tptp.notinself)) % 0.53/1.00 (step @p366 :rule cong :premises (@p365 @p364) :args (@t352)) % 0.53/1.00 (step @p367 :rule refl :args (tptp.foundation2)) % 0.53/1.00 (step @p368 :rule cong :premises (@p367 @p366) :args (@t353)) % 0.53/1.00 (step @p369 :rule refl :args (tptp.surjCantorThm)) % 0.53/1.00 (step @p370 :rule cong :premises (@p369 @p368) :args (@t354)) % 0.53/1.00 (step @p371 :rule refl :args (tptp.leftInvIsSurj)) % 0.53/1.00 (step @p372 :rule cong :premises (@p371 @p370) :args (@t355)) % 0.53/1.00 (step @p373 :rule refl :args (tptp.surjFuncSetFuncSurj)) % 0.53/1.00 (step @p374 :rule cong :premises (@p373 @p372) :args (@t356)) % 0.53/1.00 (step @p375 :rule refl :args (tptp.surjFuncSetFuncIn)) % 0.53/1.00 (step @p376 :rule cong :premises (@p375 @p374) :args (@t357)) % 0.53/1.00 (step @p377 :rule refl :args (tptp.injFuncSetFuncInj)) % 0.53/1.00 (step @p378 :rule cong :premises (@p377 @p376) :args (@t358)) % 0.53/1.00 (step @p379 :rule refl :args (tptp.injFuncSetFuncIn)) % 0.53/1.00 (step @p380 :rule cong :premises (@p379 @p378) :args (@t359)) % 0.53/1.00 (step @p381 :rule refl :args (tptp.injFuncInInjFuncSet)) % 0.53/1.00 (step @p382 :rule cong :premises (@p381 @p380) :args (@t360)) % 0.53/1.00 (step @p383 :rule refl :args (tptp.image1I)) % 0.53/1.00 (step @p384 :rule cong :premises (@p383 @p382) :args (@t361)) % 0.53/1.00 (step @p385 :rule refl :args (tptp.image1E)) % 0.53/1.00 (step @p386 :rule cong :premises (@p385 @p384) :args (@t362)) % 0.53/1.00 (step @p387 :rule refl :args (tptp.image1Equiv)) % 0.53/1.00 (step @p388 :rule cong :premises (@p387 @p386) :args (@t363)) % 0.53/1.00 (step @p389 :rule refl :args (tptp.image1Ex1)) % 0.53/1.00 (step @p390 :rule cong :premises (@p389 @p388) :args (@t364)) % 0.53/1.00 (step @p391 :rule refl :args (tptp.image1Ex)) % 0.53/1.00 (step @p392 :rule cong :premises (@p391 @p390) :args (@t365)) % 0.53/1.00 (step @p393 :rule refl :args (tptp.woz2B)) % 0.53/1.00 (step @p394 :rule cong :premises (@p393 @p392) :args (@t366)) % 0.53/1.00 (step @p395 :rule refl :args (tptp.woz2A)) % 0.53/1.00 (step @p396 :rule cong :premises (@p395 @p394) :args (@t367)) % 0.53/1.00 (step @p397 :rule refl :args (tptp.woz2W)) % 0.53/1.00 (step @p398 :rule cong :premises (@p397 @p396) :args (@t368)) % 0.53/1.00 (step @p399 :rule refl :args (tptp.woz2Ex)) % 0.53/1.00 (step @p400 :rule cong :premises (@p399 @p398) :args (@t369)) % 0.53/1.00 (step @p401 :rule refl :args (tptp.breln1unionCommutes)) % 0.53/1.00 (step @p402 :rule cong :premises (@p401 @p400) :args (@t370)) % 0.53/1.00 (step @p403 :rule refl :args (tptp.breln1unionEcases)) % 0.53/1.00 (step @p404 :rule cong :premises (@p403 @p402) :args (@t371)) % 0.53/1.00 (step @p405 :rule refl :args (tptp.breln1unionE)) % 0.53/1.00 (step @p406 :rule cong :premises (@p405 @p404) :args (@t372)) % 0.53/1.00 (step @p407 :rule refl :args (tptp.breln1unionI)) % 0.53/1.00 (step @p408 :rule cong :premises (@p407 @p406) :args (@t373)) % 0.53/1.00 (step @p409 :rule refl :args (tptp.breln1unionIR)) % 0.53/1.00 (step @p410 :rule cong :premises (@p409 @p408) :args (@t374)) % 0.53/1.00 (step @p411 :rule refl :args (tptp.breln1unionIL)) % 0.53/1.00 (step @p412 :rule cong :premises (@p411 @p410) :args (@t375)) % 0.53/1.00 (step @p413 :rule refl :args (tptp.breln1unionprop)) % 0.53/1.00 (step @p414 :rule cong :premises (@p413 @p412) :args (@t376)) % 0.53/1.00 (step @p415 :rule refl :args (tptp.breln1compEex)) % 0.53/1.00 (step @p416 :rule cong :premises (@p415 @p414) :args (@t377)) % 0.53/1.00 (step @p417 :rule refl :args (tptp.breln1compE)) % 0.53/1.00 (step @p418 :rule cong :premises (@p417 @p416) :args (@t378)) % 0.53/1.00 (step @p419 :rule refl :args (tptp.breln1compI)) % 0.53/1.00 (step @p420 :rule cong :premises (@p419 @p418) :args (@t379)) % 0.53/1.00 (step @p421 :rule refl :args (tptp.breln1compprop)) % 0.53/1.00 (step @p422 :rule cong :premises (@p421 @p420) :args (@t380)) % 0.53/1.00 (step @p423 :rule refl :args (tptp.breln1invE)) % 0.53/1.00 (step @p424 :rule cong :premises (@p423 @p422) :args (@t381)) % 0.53/1.00 (step @p425 :rule refl :args (tptp.breln1invI)) % 0.53/1.00 (step @p426 :rule cong :premises (@p425 @p424) :args (@t382)) % 0.53/1.00 (step @p427 :rule refl :args (tptp.breln1invprop)) % 0.53/1.00 (step @p428 :rule cong :premises (@p427 @p426) :args (@t383)) % 0.53/1.00 (step @p429 :rule refl :args (tptp.eqbreln1)) % 0.53/1.00 (step @p430 :rule cong :premises (@p429 @p428) :args (@t384)) % 0.53/1.00 (step @p431 :rule refl :args (tptp.subbreln1)) % 0.53/1.00 (step @p432 :rule cong :premises (@p431 @p430) :args (@t385)) % 0.53/1.00 (step @p433 :rule refl :args (tptp.breln1all1)) % 0.53/1.00 (step @p434 :rule cong :premises (@p433 @p432) :args (@t386)) % 0.53/1.00 (step @p435 :rule refl :args (tptp.setOfPairsIsBReln1)) % 0.53/1.00 (step @p436 :rule cong :premises (@p435 @p434) :args (@t387)) % 0.53/1.00 (step @p437 :rule refl :args (tptp.choice2fnsingleton)) % 0.53/1.00 (step @p438 :rule cong :premises (@p437 @p436) :args (@t388)) % 0.53/1.00 (step @p439 :rule refl :args (tptp.breln1SetBreln1)) % 0.53/1.00 (step @p440 :rule cong :premises (@p439 @p438) :args (@t389)) % 0.53/1.00 (step @p441 :rule refl :args (tptp.breln1all2)) % 0.53/1.00 (step @p442 :rule cong :premises (@p441 @p440) :args (@t390)) % 0.53/1.00 (step @p443 :rule refl :args (tptp.woz1_5)) % 0.53/1.00 (step @p444 :rule cong :premises (@p443 @p442) :args (@t391)) % 0.53/1.00 (step @p445 :rule refl :args (tptp.woz1_4)) % 0.53/1.00 (step @p446 :rule cong :premises (@p445 @p444) :args (@t392)) % 0.53/1.00 (step @p447 :rule refl :args (tptp.woz1_3)) % 0.53/1.00 (step @p448 :rule cong :premises (@p447 @p446) :args (@t393)) % 0.53/1.00 (step @p449 :rule refl :args (tptp.woz1_2)) % 0.53/1.00 (step @p450 :rule cong :premises (@p449 @p448) :args (@t394)) % 0.53/1.00 (step @p451 :rule refl :args (tptp.woz1_1)) % 0.53/1.00 (step @p452 :rule cong :premises (@p451 @p450) :args (@t395)) % 0.53/1.00 (step @p453 :rule refl :args (tptp.woz13rule4)) % 0.53/1.00 (step @p454 :rule cong :premises (@p453 @p452) :args (@t396)) % 0.53/1.00 (step @p455 :rule refl :args (tptp.woz13rule3)) % 0.53/1.00 (step @p456 :rule cong :premises (@p455 @p454) :args (@t397)) % 0.53/1.00 (step @p457 :rule refl :args (tptp.woz13rule2)) % 0.53/1.00 (step @p458 :rule cong :premises (@p457 @p456) :args (@t398)) % 0.53/1.00 (step @p459 :rule refl :args (tptp.woz13rule1)) % 0.53/1.00 (step @p460 :rule cong :premises (@p459 @p458) :args (@t399)) % 0.53/1.00 (step @p461 :rule refl :args (tptp.woz13rule0)) % 0.53/1.00 (step @p462 :rule cong :premises (@p461 @p460) :args (@t400)) % 0.53/1.00 (step @p463 :rule refl :args (tptp.demorgan2)) % 0.53/1.00 (step @p464 :rule cong :premises (@p463 @p462) :args (@t401)) % 0.53/1.00 (step @p465 :rule refl :args (tptp.demorgan2b)) % 0.53/1.00 (step @p466 :rule cong :premises (@p465 @p464) :args (@t402)) % 0.53/1.00 (step @p467 :rule refl :args (tptp.demorgan2b2)) % 0.53/1.00 (step @p468 :rule cong :premises (@p467 @p466) :args (@t403)) % 0.53/1.00 (step @p469 :rule refl :args (tptp.demorgan2a)) % 0.53/1.00 (step @p470 :rule cong :premises (@p469 @p468) :args (@t404)) % 0.53/1.00 (step @p471 :rule refl :args (tptp.demorgan1)) % 0.53/1.00 (step @p472 :rule cong :premises (@p471 @p470) :args (@t405)) % 0.53/1.00 (step @p473 :rule refl :args (tptp.demorgan1b)) % 0.53/1.00 (step @p474 :rule cong :premises (@p473 @p472) :args (@t406)) % 0.53/1.00 (step @p475 :rule refl :args (tptp.demorgan1a)) % 0.53/1.00 (step @p476 :rule cong :premises (@p475 @p474) :args (@t407)) % 0.53/1.00 (step @p477 :rule refl :args (tptp.demorgan2a2)) % 0.53/1.00 (step @p478 :rule cong :premises (@p477 @p476) :args (@t408)) % 0.53/1.00 (step @p479 :rule refl :args (tptp.complementUnionInPowersetComplement)) % 0.53/1.00 (step @p480 :rule cong :premises (@p479 @p478) :args (@t409)) % 0.53/1.00 (step @p481 :rule refl :args (tptp.demorgan2a1)) % 0.53/1.00 (step @p482 :rule cong :premises (@p481 @p480) :args (@t410)) % 0.53/1.00 (step @p483 :rule refl :args (tptp.binunionTEcontra)) % 0.53/1.00 (step @p484 :rule cong :premises (@p483 @p482) :args (@t411)) % 0.53/1.00 (step @p485 :rule refl :args (tptp.binunionTE)) % 0.53/1.00 (step @p486 :rule cong :premises (@p485 @p484) :args (@t412)) % 0.53/1.00 (step @p487 :rule refl :args (tptp.inComplementUnionImpInComplement1)) % 0.53/1.00 (step @p488 :rule cong :premises (@p487 @p486) :args (@t413)) % 0.53/1.00 (step @p489 :rule refl :args (tptp.inComplementUnionImpNotIn1)) % 0.53/1.00 (step @p490 :rule cong :premises (@p489 @p488) :args (@t414)) % 0.53/1.00 (step @p491 :rule refl :args (tptp.intersectInPowersetIntersectUnions)) % 0.53/1.00 (step @p492 :rule cong :premises (@p491 @p490) :args (@t415)) % 0.53/1.00 (step @p493 :rule refl :args (tptp.inIntersectImpInIntersectUnions)) % 0.53/1.00 (step @p494 :rule cong :premises (@p493 @p492) :args (@t416)) % 0.53/1.00 (step @p495 :rule refl :args (tptp.inIntersectImpInUnion2)) % 0.53/1.00 (step @p496 :rule cong :premises (@p495 @p494) :args (@t417)) % 0.53/1.00 (step @p497 :rule refl :args (tptp.inIntersectImpInUnion)) % 0.53/1.00 (step @p498 :rule cong :premises (@p497 @p496) :args (@t418)) % 0.53/1.00 (step @p499 :rule refl :args (tptp.binunionTIRcontra)) % 0.53/1.00 (step @p500 :rule cong :premises (@p499 @p498) :args (@t419)) % 0.53/1.00 (step @p501 :rule refl :args (tptp.binunionTILcontra)) % 0.53/1.00 (step @p502 :rule cong :premises (@p501 @p500) :args (@t420)) % 0.53/1.00 (step @p503 :rule refl :args (tptp.complementTcontraSubset)) % 0.53/1.00 (step @p504 :rule cong :premises (@p503 @p502) :args (@t421)) % 0.53/1.00 (step @p505 :rule refl :args (tptp.contraSubsetComplement)) % 0.53/1.00 (step @p506 :rule cong :premises (@p505 @p504) :args (@t422)) % 0.53/1.00 (step @p507 :rule refl :args (tptp.complementInPowersetComplementIntersect)) % 0.53/1.00 (step @p508 :rule cong :premises (@p507 @p506) :args (@t423)) % 0.53/1.00 (step @p509 :rule refl :args (tptp.complementSubsetComplementIntersect)) % 0.53/1.00 (step @p510 :rule cong :premises (@p509 @p508) :args (@t424)) % 0.53/1.00 (step @p511 :rule refl :args (tptp.complementImpComplementIntersect)) % 0.53/1.00 (step @p512 :rule cong :premises (@p511 @p510) :args (@t425)) % 0.53/1.00 (step @p513 :rule refl :args (tptp.complementTnotintersectT)) % 0.53/1.00 (step @p514 :rule cong :premises (@p513 @p512) :args (@t426)) % 0.53/1.00 (step @p515 :rule refl :args (tptp.doubleComplementEq)) % 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(step @p530 :rule cong :premises (@p529 @p528) :args (@t434)) % 0.53/1.00 (step @p531 :rule refl :args (tptp.contrasubsetT)) % 0.53/1.00 (step @p532 :rule cong :premises (@p531 @p530) :args (@t435)) % 0.53/1.00 (step @p533 :rule refl :args (tptp.binintersectTERcontra)) % 0.53/1.00 (step @p534 :rule cong :premises (@p533 @p532) :args (@t436)) % 0.53/1.00 (step @p535 :rule refl :args (tptp.binintersectTELcontra)) % 0.53/1.00 (step @p536 :rule cong :premises (@p535 @p534) :args (@t437)) % 0.53/1.00 (step @p537 :rule refl :args (tptp.complementTE1)) % 0.53/1.00 (step @p538 :rule cong :premises (@p537 @p536) :args (@t438)) % 0.53/1.00 (step @p539 :rule refl :args (tptp.complementTI1)) % 0.53/1.00 (step @p540 :rule cong :premises (@p539 @p538) :args (@t439)) % 0.53/1.00 (step @p541 :rule refl :args (tptp.powersetTE1)) % 0.53/1.00 (step @p542 :rule cong :premises (@p541 @p540) :args (@t440)) % 0.53/1.00 (step @p543 :rule refl :args (tptp.powersetTI1)) % 0.53/1.00 (step @p544 :rule cong 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(@t493)) % 0.53/1.00 (step @p649 :rule refl :args (tptp.cartprodpairsurjEq)) % 0.53/1.00 (step @p650 :rule cong :premises (@p649 @p648) :args (@t494)) % 0.53/1.00 (step @p651 :rule refl :args (tptp.cartprodsndpairEq)) % 0.53/1.00 (step @p652 :rule cong :premises (@p651 @p650) :args (@t495)) % 0.53/1.00 (step @p653 :rule refl :args (tptp.cartprodfstpairEq)) % 0.53/1.00 (step @p654 :rule cong :premises (@p653 @p652) :args (@t496)) % 0.53/1.00 (step @p655 :rule refl :args (tptp.cartprodmempaircEq)) % 0.53/1.00 (step @p656 :rule cong :premises (@p655 @p654) :args (@t497)) % 0.53/1.00 (step @p657 :rule refl :args (tptp.cartprodpairmemER)) % 0.53/1.00 (step @p658 :rule cong :premises (@p657 @p656) :args (@t498)) % 0.53/1.00 (step @p659 :rule refl :args (tptp.cartprodpairmemEL)) % 0.53/1.00 (step @p660 :rule cong :premises (@p659 @p658) :args (@t499)) % 0.53/1.00 (step @p661 :rule refl :args (tptp.cartprodsndin)) % 0.53/1.00 (step @p662 :rule cong :premises (@p661 @p660) :args (@t500)) % 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:rule not_implies_elim2 :premises (@p1289)) % 0.53/1.00 (step @p1291 :rule not_implies_elim2 :premises (@p1290)) % 0.53/1.00 (step @p1292 :rule not_implies_elim2 :premises (@p1291)) % 0.53/1.00 (step @p1293 :rule not_implies_elim2 :premises (@p1292)) % 0.53/1.00 (step @p1294 :rule not_implies_elim2 :premises (@p1293)) % 0.53/1.00 (step @p1295 :rule not_implies_elim2 :premises (@p1294)) % 0.53/1.00 (step @p1296 :rule not_implies_elim2 :premises (@p1295)) % 0.53/1.00 (step @p1297 :rule not_implies_elim2 :premises (@p1296)) % 0.53/1.00 (step @p1298 :rule not_implies_elim2 :premises (@p1297)) % 0.53/1.00 (step @p1299 :rule not_implies_elim2 :premises (@p1298)) % 0.53/1.00 (step @p1300 :rule not_implies_elim2 :premises (@p1299)) % 0.53/1.00 (step @p1301 :rule not_implies_elim2 :premises (@p1300)) % 0.53/1.00 (step @p1302 :rule not_implies_elim2 :premises (@p1301)) % 0.53/1.00 (step @p1303 :rule not_implies_elim2 :premises (@p1302)) % 0.53/1.00 (step @p1304 :rule not_implies_elim2 :premises (@p1303)) % 0.53/1.00 (step @p1305 :rule not_implies_elim2 :premises (@p1304)) % 0.53/1.00 (step @p1306 :rule not_implies_elim2 :premises (@p1305)) % 0.53/1.00 (step @p1307 :rule not_implies_elim2 :premises (@p1306)) % 0.53/1.00 (step @p1308 :rule not_implies_elim2 :premises (@p1307)) % 0.53/1.00 (step @p1309 :rule not_implies_elim2 :premises (@p1308)) % 0.53/1.00 (step @p1310 :rule not_implies_elim2 :premises (@p1309)) % 0.53/1.00 (step @p1311 :rule not_implies_elim2 :premises (@p1310)) % 0.53/1.00 (step @p1312 :rule not_implies_elim2 :premises (@p1311)) % 0.53/1.00 (step @p1313 :rule not_implies_elim2 :premises (@p1312)) % 0.53/1.00 (step @p1314 :rule not_implies_elim2 :premises (@p1313)) % 0.53/1.00 (step @p1315 :rule not_implies_elim2 :premises (@p1314)) % 0.53/1.00 (step @p1316 :rule not_implies_elim2 :premises (@p1315)) % 0.53/1.00 (step @p1317 :rule not_implies_elim2 :premises (@p1316)) % 0.53/1.00 (step @p1318 :rule not_implies_elim2 :premises (@p1317)) % 0.53/1.00 (step @p1319 :rule not_implies_elim2 :premises (@p1318)) % 0.53/1.00 (step @p1320 :rule not_implies_elim2 :premises (@p1319)) % 0.53/1.00 (step @p1321 :rule not_implies_elim2 :premises (@p1320)) % 0.53/1.00 (step @p1322 :rule not_implies_elim2 :premises (@p1321)) % 0.53/1.00 (step @p1323 :rule not_implies_elim2 :premises (@p1322)) % 0.53/1.00 (step @p1324 :rule not_implies_elim2 :premises (@p1323)) % 0.53/1.00 (step @p1325 :rule not_implies_elim2 :premises (@p1324)) % 0.53/1.00 (step @p1326 :rule not_implies_elim2 :premises (@p1325)) % 0.53/1.00 (step @p1327 :rule not_implies_elim2 :premises (@p1326)) % 0.53/1.00 (step @p1328 :rule not_implies_elim2 :premises (@p1327)) % 0.53/1.00 (step @p1329 :rule not_implies_elim2 :premises (@p1328)) % 0.53/1.00 (step @p1330 :rule not_implies_elim2 :premises (@p1329)) % 0.53/1.00 (step @p1331 :rule not_implies_elim2 :premises (@p1330)) % 0.53/1.00 (step @p1332 :rule not_implies_elim2 :premises (@p1331)) % 0.53/1.00 (step @p1333 :rule not_implies_elim2 :premises (@p1332)) % 0.53/1.00 (step @p1334 :rule not_implies_elim2 :premises (@p1333)) % 0.53/1.00 (step @p1335 :rule not_implies_elim2 :premises (@p1334)) % 0.53/1.00 (step @p1336 :rule not_implies_elim2 :premises (@p1335)) % 0.53/1.00 (step @p1337 :rule cong :premises (@p997 @p360) :args (@t37)) % 0.53/1.00 (step @p1338 :rule eq_resolve :premises (@p7 @p1337)) % 0.53/1.00 (step @p1339 :rule not_implies_elim1 :premises (@p1018)) % 0.53/1.00 (step @p1340 :rule eq_resolve :premises (@p1339 @p1338)) % 0.53/1.00 (step @p1341 :rule cnf_implies_neg2 :args ((=> tptp.omegaSp @t684))) % 0.53/1.00 (step @p1342 :rule resolution :premises (@p1341 @p1340) :args (false @t684)) % 0.53/1.00 (step @p1343 false :rule contra :premises (@p1342 @p1336)) % 0.53/1.00 ) % 0.53/1.00 % SZS output end Proof % 0.53/1.00 % cvc5 exiting %------------------------------------------------------------------------------