%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU781^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:53:10 AM UTC 2026 % Result : Theorem 0.51s 0.96s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU781^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:52:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.65 %----Proving TH0 % 0.51/0.96 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.96 % SZS status Theorem % 0.51/0.96 % SZS output start Proof % 0.51/0.96 ( % 0.51/0.96 (declare-sort $$unsorted 0) % 0.51/0.96 (declare-const tptp.emptyset $$unsorted) % 0.51/0.96 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.51/0.96 (declare-const tptp.breln1compE Bool) % 0.51/0.96 (declare-const tptp.breln1compset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.breln1invI Bool) % 0.51/0.96 (declare-const tptp.eqbreln1 Bool) % 0.51/0.96 (declare-const tptp.breln1all1 Bool) % 0.51/0.96 (declare-const tptp.setOfPairsIsBReln1 Bool) % 0.51/0.96 (declare-const tptp.choice2fnsingleton Bool) % 0.51/0.96 (declare-const tptp.breln1SetBreln1 Bool) % 0.51/0.96 (declare-const tptp.woz1_5 Bool) % 0.51/0.96 (declare-const tptp.woz1_1 Bool) % 0.51/0.96 (declare-const tptp.woz13rule3 Bool) % 0.51/0.96 (declare-const tptp.woz13rule1 Bool) % 0.51/0.96 (declare-const tptp.demorgan2 Bool) % 0.51/0.96 (declare-const tptp.demorgan2b Bool) % 0.51/0.96 (declare-const tptp.demorgan2b2 Bool) % 0.51/0.96 (declare-const tptp.demorgan2a Bool) % 0.51/0.96 (declare-const tptp.demorgan1a Bool) % 0.51/0.96 (declare-const tptp.demorgan2a2 Bool) % 0.51/0.96 (declare-const tptp.complementUnionInPowersetComplement Bool) % 0.51/0.96 (declare-const tptp.binunionTEcontra Bool) % 0.51/0.96 (declare-const tptp.binunionTE Bool) % 0.51/0.96 (declare-const tptp.inComplementUnionImpInComplement1 Bool) % 0.51/0.96 (declare-const tptp.inComplementUnionImpNotIn1 Bool) % 0.51/0.96 (declare-const tptp.intersectInPowersetIntersectUnions Bool) % 0.51/0.96 (declare-const tptp.inIntersectImpInUnion2 Bool) % 0.51/0.96 (declare-const tptp.binunionTIRcontra Bool) % 0.51/0.96 (declare-const tptp.complementTcontraSubset Bool) % 0.51/0.96 (declare-const tptp.contraSubsetComplement Bool) % 0.51/0.96 (declare-const tptp.complementInPowersetComplementIntersect Bool) % 0.51/0.96 (declare-const tptp.complementSubsetComplementIntersect Bool) % 0.51/0.96 (declare-const tptp.complementTnotintersectT Bool) % 0.51/0.96 (declare-const tptp.doubleComplementE1 Bool) % 0.51/0.96 (declare-const tptp.breln1compI Bool) % 0.51/0.96 (declare-const tptp.doubleComplementI1 Bool) % 0.51/0.96 (declare-const tptp.contrasubsetT2 Bool) % 0.51/0.96 (declare-const tptp.contrasubsetT1 Bool) % 0.51/0.96 (declare-const tptp.contrasubsetT Bool) % 0.51/0.96 (declare-const tptp.binintersectTELcontra Bool) % 0.51/0.96 (declare-const tptp.complementTE1 Bool) % 0.51/0.96 (declare-const tptp.complementTI1 Bool) % 0.51/0.96 (declare-const tptp.powersetTE1 Bool) % 0.51/0.96 (declare-const tptp.setextT Bool) % 0.51/0.96 (declare-const tptp.complementT_lem Bool) % 0.51/0.96 (declare-const tptp.setext Bool) % 0.51/0.96 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.96 (declare-const tptp.beta2 Bool) % 0.51/0.96 (declare-const tptp.binintersectEL Bool) % 0.51/0.96 (declare-const tptp.dpsetconstrERa Bool) % 0.51/0.96 (declare-const tptp.binintersectI Bool) % 0.51/0.96 (declare-const tptp.exuI1 Bool) % 0.51/0.96 (declare-const tptp.binunionEcases Bool) % 0.51/0.96 (declare-const tptp.quantDeMorgan3 Bool) % 0.51/0.96 (declare-const tptp.doubleComplementSub2 Bool) % 0.51/0.96 (declare-const tptp.descrp Bool) % 0.51/0.96 (declare-const tptp.breln1compprop Bool) % 0.51/0.96 (declare-const tptp.binunionIR Bool) % 0.51/0.96 (declare-const tptp.binunionIL Bool) % 0.51/0.96 (declare-const tptp.breln1invE Bool) % 0.51/0.96 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.setextsub Bool) % 0.51/0.96 (declare-const tptp.singletonsubset Bool) % 0.51/0.96 (declare-const tptp.disjointsetsI1 Bool) % 0.51/0.96 (declare-const tptp.singleton (-> $$unsorted Bool)) % 0.51/0.96 (declare-const tptp.kpairiskpair Bool) % 0.51/0.96 (declare-const tptp.setadjoinSub Bool) % 0.51/0.96 (declare-const tptp.notequalI2 Bool) % 0.51/0.96 (declare-const tptp.inIntersectImpInIntersectUnions Bool) % 0.51/0.96 (declare-const tptp.ex1E2 Bool) % 0.51/0.96 (declare-const tptp.subsetTI Bool) % 0.51/0.96 (declare-const tptp.notsubsetI Bool) % 0.51/0.96 (declare-const tptp.subsetI2 Bool) % 0.51/0.96 (declare-const tptp.symdiffE Bool) % 0.51/0.96 (declare-const tptp.inIntersectImpInUnion Bool) % 0.51/0.96 (declare-const tptp.nonemptyE1 Bool) % 0.51/0.96 (declare-const tptp.binintersectER Bool) % 0.51/0.96 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.binintersectRsub Bool) % 0.51/0.96 (declare-const tptp.emptyset__Cong Bool) % 0.51/0.96 (declare-const tptp.iffalseProp2 Bool) % 0.51/0.96 (declare-const tptp.setadjoin__Cong Bool) % 0.51/0.96 (declare-const tptp.binintersectSubset3 Bool) % 0.51/0.96 (declare-const tptp.woz13rule4 Bool) % 0.51/0.96 (declare-const tptp.exu__Cong Bool) % 0.51/0.96 (declare-const tptp.in__Cong Bool) % 0.51/0.96 (declare-const tptp.inCongP Bool) % 0.51/0.96 (declare-const tptp.subsetE2 Bool) % 0.51/0.96 (declare-const tptp.setunionsingleton2 Bool) % 0.51/0.96 (declare-const tptp.exuI3 Bool) % 0.51/0.96 (declare-const tptp.subsetE Bool) % 0.51/0.96 (declare-const tptp.brelnall1 Bool) % 0.51/0.96 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.51/0.96 (declare-const tptp.quantDeMorgan2 Bool) % 0.51/0.96 (declare-const tptp.dsetconstr__Cong Bool) % 0.51/0.96 (declare-const tptp.setminusSubset2 Bool) % 0.51/0.96 (declare-const tptp.quantDeMorgan1 Bool) % 0.51/0.96 (declare-const tptp.ubforcartprodlem1 Bool) % 0.51/0.96 (declare-const tptp.eqbreln Bool) % 0.51/0.96 (declare-const tptp.sepInPowerset Bool) % 0.51/0.96 (declare-const tptp.vacuousDall Bool) % 0.51/0.96 (declare-const tptp.breln1invset (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.inPowerset Bool) % 0.51/0.96 (declare-const tptp.upairset2E Bool) % 0.51/0.96 (declare-const tptp.subbreln Bool) % 0.51/0.96 (declare-const tptp.demorgan1 Bool) % 0.51/0.96 (declare-const tptp.emptyE1 Bool) % 0.51/0.96 (declare-const tptp.powersetE1 Bool) % 0.51/0.96 (declare-const tptp.funcGraphProp4 Bool) % 0.51/0.96 (declare-const tptp.setunion__Cong Bool) % 0.51/0.96 (declare-const tptp.ex1I2 Bool) % 0.51/0.96 (declare-const tptp.setukpairinjR Bool) % 0.51/0.96 (declare-const tptp.notequalI1 Bool) % 0.51/0.96 (declare-const tptp.symdiffIneg1 Bool) % 0.51/0.96 (declare-const tptp.emptysetE Bool) % 0.51/0.96 (declare-const tptp.omega__Cong Bool) % 0.51/0.96 (declare-const tptp.setadjoinIL Bool) % 0.51/0.96 (declare-const tptp.woz1_3 Bool) % 0.51/0.96 (declare-const tptp.exuEu Bool) % 0.51/0.96 (declare-const tptp.prop2setE Bool) % 0.51/0.96 (declare-const tptp.woz13rule2 Bool) % 0.51/0.96 (declare-const tptp.exuI2 Bool) % 0.51/0.96 (declare-const tptp.setOfPairsIsBReln Bool) % 0.51/0.96 (declare-const tptp.dsetconstrI Bool) % 0.51/0.96 (declare-const tptp.binintersectLsub Bool) % 0.51/0.96 (declare-const tptp.lam2lamEq Bool) % 0.51/0.96 (declare-const tptp.nonemptyImpWitness Bool) % 0.51/0.96 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.51/0.96 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.51/0.96 (declare-const tptp.breln1invprop Bool) % 0.51/0.96 (declare-const tptp.wellorderingAx Bool) % 0.51/0.96 (declare-const tptp.omega0Ax Bool) % 0.51/0.96 (declare-const tptp.ksndsingleton Bool) % 0.51/0.96 (declare-const tptp.replAx Bool) % 0.51/0.96 (declare-const tptp.upairinpowunion Bool) % 0.51/0.96 (declare-const tptp.upairsetE Bool) % 0.51/0.96 (declare-const tptp.binunionLsub Bool) % 0.51/0.96 (declare-const tptp.woz13rule0 Bool) % 0.51/0.96 (declare-const tptp.prop2set2propI Bool) % 0.51/0.96 (declare-const tptp.demorgan1b Bool) % 0.51/0.96 (declare-const tptp.ap2apEq1 Bool) % 0.51/0.96 (declare-const tptp.complementImpComplementIntersect Bool) % 0.51/0.96 (declare-const tptp.dsetconstrEL Bool) % 0.51/0.96 (declare-const tptp.sepSubset Bool) % 0.51/0.96 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.51/0.96 (declare-const tptp.emptyinPowerset Bool) % 0.51/0.96 (declare-const tptp.setadjoinIR Bool) % 0.51/0.96 (declare-const tptp.setminusSubset1 Bool) % 0.51/0.96 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.51/0.96 (declare-const tptp.setadjoinOr Bool) % 0.51/0.96 (declare-const tptp.setukpairIL Bool) % 0.51/0.96 (declare-const tptp.exuE3u Bool) % 0.51/0.96 (declare-const tptp.uniqinunit Bool) % 0.51/0.96 (declare-const tptp.foundationAx Bool) % 0.51/0.96 (declare-const tptp.subsetRefl Bool) % 0.51/0.96 (declare-const tptp.dpsetconstrEL2 Bool) % 0.51/0.96 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.exuE2 Bool) % 0.51/0.96 (declare-const tptp.woz1_2 Bool) % 0.51/0.96 (declare-const tptp.setukpairinjL1 Bool) % 0.51/0.96 (declare-const tptp.binunionRsub Bool) % 0.51/0.96 (declare-const tptp.cartprodmempair1 Bool) % 0.51/0.96 (declare-const tptp.notdallE Bool) % 0.51/0.96 (declare-const tptp.ap2apEq2 Bool) % 0.51/0.96 (declare-const tptp.dsetconstrER Bool) % 0.51/0.96 (declare-const tptp.binunionE Bool) % 0.51/0.96 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.51/0.96 (declare-const tptp.cartprodpairin Bool) % 0.51/0.96 (declare-const tptp.dpsetconstrI Bool) % 0.51/0.96 (declare-const tptp.eqimpsubset1 Bool) % 0.51/0.96 (declare-const tptp.emptyInPowerset Bool) % 0.51/0.96 (declare-const tptp.powersetTI1 Bool) % 0.51/0.96 (declare-const tptp.omega $$unsorted) % 0.51/0.96 (declare-const tptp.setadjoinAx Bool) % 0.51/0.96 (declare-const tptp.subsetemptysetimpeq Bool) % 0.51/0.96 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.breln1all2 Bool) % 0.51/0.96 (declare-const tptp.setukpairinjL Bool) % 0.51/0.96 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.eqimpsubset2 Bool) % 0.51/0.96 (declare-const tptp.emptyinunitempty Bool) % 0.51/0.96 (declare-const tptp.setminusLsub Bool) % 0.51/0.96 (declare-const tptp.lamp Bool) % 0.51/0.96 (declare-const tptp.powersetAx Bool) % 0.51/0.96 (declare-const tptp.setminusELneg Bool) % 0.51/0.96 (declare-const tptp.lam2p Bool) % 0.51/0.96 (declare-const tptp.omegaSAx Bool) % 0.51/0.96 (declare-const tptp.setukpairinjL2 Bool) % 0.51/0.96 (declare-const tptp.binintersectT_lem Bool) % 0.51/0.96 (declare-const tptp.upairset2IR Bool) % 0.51/0.96 (declare-const tptp.setoftrueEq Bool) % 0.51/0.96 (declare-const tptp.reflwellordering (-> $$unsorted $$unsorted Bool)) % 0.51/0.96 (declare-const tptp.setunionAx Bool) % 0.51/0.96 (declare-const tptp.omegaIndAx Bool) % 0.51/0.96 (declare-const tptp.setunionE Bool) % 0.51/0.96 (declare-const tptp.quantDeMorgan4 Bool) % 0.51/0.96 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.binunionTILcontra Bool) % 0.51/0.96 (declare-const tptp.emptyI Bool) % 0.51/0.96 (declare-const tptp.noeltsimpempty Bool) % 0.51/0.96 (declare-const tptp.setminusER Bool) % 0.51/0.96 (declare-const tptp.kpairp Bool) % 0.51/0.96 (declare-const tptp.powersetE Bool) % 0.51/0.96 (declare-const tptp.funcextLem Bool) % 0.51/0.96 (declare-const tptp.upairsetIL Bool) % 0.51/0.96 (declare-const tptp.nonemptyI Bool) % 0.51/0.96 (declare-const tptp.infuncsetfunc Bool) % 0.51/0.96 (declare-const tptp.nonemptyI1 Bool) % 0.51/0.96 (declare-const tptp.iftrue Bool) % 0.51/0.96 (declare-const tptp.singletonsuniq Bool) % 0.51/0.96 (declare-const tptp.woz1_4 Bool) % 0.51/0.96 (declare-const tptp.descr__Cong Bool) % 0.51/0.96 (declare-const tptp.setminusEL Bool) % 0.51/0.96 (declare-const tptp.kfstsingleton Bool) % 0.51/0.96 (declare-const tptp.setunionsingleton1 Bool) % 0.51/0.96 (declare-const tptp.notdexE Bool) % 0.51/0.96 (declare-const tptp.setunionI Bool) % 0.51/0.96 (declare-const tptp.doubleComplementSub1 Bool) % 0.51/0.96 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.exuE1 Bool) % 0.51/0.96 (declare-const tptp.binintersectSubset5 Bool) % 0.51/0.96 (declare-const tptp.subPowSU Bool) % 0.51/0.96 (declare-const tptp.subbreln1 Bool) % 0.51/0.96 (declare-const tptp.cartprodpairmemEL Bool) % 0.51/0.96 (declare-const tptp.subset2powerset Bool) % 0.51/0.96 (declare-const tptp.setbeta Bool) % 0.51/0.96 (declare-const tptp.emptysetimpfalse Bool) % 0.51/0.96 (declare-const tptp.binintersectSubset4 Bool) % 0.51/0.96 (declare-const tptp.ex1 (-> $$unsorted (-> $$unsorted Bool) Bool)) % 0.51/0.96 (declare-const tptp.singletonsswitch Bool) % 0.51/0.96 (declare-const tptp.notinemptyset Bool) % 0.51/0.96 (declare-const tptp.binintersectSubset1 Bool) % 0.51/0.96 (declare-const tptp.iftrueProp1 Bool) % 0.51/0.96 (declare-const tptp.bs114d Bool) % 0.51/0.96 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.setminusI Bool) % 0.51/0.96 (declare-const tptp.ifSingleton Bool) % 0.51/0.96 (declare-const tptp.setminusERneg Bool) % 0.51/0.96 (declare-const tptp.lamProp Bool) % 0.51/0.96 (declare-const tptp.setminusILneg Bool) % 0.51/0.96 (declare-const tptp.setminusIRneg Bool) % 0.51/0.96 (declare-const tptp.symdiffI1 Bool) % 0.51/0.96 (declare-const tptp.funcGraphProp2 Bool) % 0.51/0.96 (declare-const tptp.powersetI Bool) % 0.51/0.96 (declare-const tptp.symdiffI2 Bool) % 0.51/0.96 (declare-const tptp.symdiffIneg2 Bool) % 0.51/0.96 (declare-const tptp.breln1Set (-> $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.emptysetsubset Bool) % 0.51/0.96 (declare-const tptp.setukpairinjR12 Bool) % 0.51/0.96 (declare-const tptp.secondinupair Bool) % 0.51/0.96 (declare-const tptp.setukpairinjR1 Bool) % 0.51/0.96 (declare-const tptp.setukpairIR Bool) % 0.51/0.96 (declare-const tptp.setukpairinjR2 Bool) % 0.51/0.96 (declare-const tptp.demorgan2a1 Bool) % 0.51/0.96 (declare-const tptp.singletoninpowerset Bool) % 0.51/0.96 (declare-const tptp.notinsingleton Bool) % 0.51/0.96 (declare-const tptp.singletoninpowunion Bool) % 0.51/0.96 (declare-const tptp.eqinunit Bool) % 0.51/0.96 (declare-const tptp.upairsubunion Bool) % 0.51/0.96 (declare-const tptp.upairsetIR Bool) % 0.51/0.96 (declare-const tptp.ubforcartprodlem2 Bool) % 0.51/0.96 (declare-const tptp.ubforcartprodlem3 Bool) % 0.51/0.96 (declare-const tptp.cartprodmempair Bool) % 0.51/0.96 (declare-const tptp.prop2setI Bool) % 0.51/0.96 (declare-const tptp.setunionE2 Bool) % 0.51/0.96 (declare-const tptp.setunionsingleton Bool) % 0.51/0.96 (declare-const tptp.singletonprop Bool) % 0.51/0.96 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.ex1E1 Bool) % 0.51/0.96 (declare-const tptp.binintersectSubset2 Bool) % 0.51/0.96 (declare-const tptp.apProp Bool) % 0.51/0.96 (declare-const tptp.ex1I Bool) % 0.51/0.96 (declare-const tptp.theprop Bool) % 0.51/0.96 (declare-const tptp.kfstpairEq Bool) % 0.51/0.96 (declare-const tptp.setextAx Bool) % 0.51/0.96 (declare-const tptp.cartprodfstin Bool) % 0.51/0.96 (declare-const tptp.powerset__Cong Bool) % 0.51/0.96 (declare-const tptp.iftrueorfalse Bool) % 0.51/0.96 (declare-const tptp.setukpairinjR11 Bool) % 0.51/0.96 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.upairequniteq Bool) % 0.51/0.96 (declare-const tptp.funcGraphProp3 Bool) % 0.51/0.96 (declare-const tptp.subsetTrans Bool) % 0.51/0.96 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.ksndpairEq Bool) % 0.51/0.96 (declare-const tptp.kpairsurjEq Bool) % 0.51/0.96 (declare-const tptp.setadjoinSub2 Bool) % 0.51/0.96 (declare-const tptp.cartprodsndin Bool) % 0.51/0.96 (declare-const tptp.cartprodpairmemER Bool) % 0.51/0.96 (declare-const tptp.cartprodmempaircEq Bool) % 0.51/0.96 (declare-const tptp.binintersectTERcontra Bool) % 0.51/0.96 (declare-const tptp.powersetI1 Bool) % 0.51/0.96 (declare-const tptp.cartprodfstpairEq Bool) % 0.51/0.96 (declare-const tptp.cartprodsndpairEq Bool) % 0.51/0.96 (declare-const tptp.powersetsubset Bool) % 0.51/0.96 (declare-const tptp.cartprodpairsurjEq Bool) % 0.51/0.96 (declare-const tptp.contrasubsetT3 Bool) % 0.51/0.96 (declare-const tptp.dpsetconstrSub Bool) % 0.51/0.96 (declare-const tptp.dpsetconstrEL1 Bool) % 0.51/0.96 (declare-const tptp.dpsetconstrER Bool) % 0.51/0.96 (declare-const tptp.funcImageSingleton Bool) % 0.51/0.96 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.51/0.96 (declare-const tptp.app Bool) % 0.51/0.96 (declare-const tptp.iftrueProp2 Bool) % 0.51/0.96 (declare-const tptp.doubleComplementEq Bool) % 0.51/0.96 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.exuE3e Bool) % 0.51/0.96 (declare-const tptp.ap2p Bool) % 0.51/0.96 (declare-const tptp.funcinfuncset Bool) % 0.51/0.96 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 0.51/0.96 (declare-const tptp.iffalse Bool) % 0.51/0.96 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.96 (declare-const tptp.setadjoinE Bool) % 0.51/0.96 (declare-const tptp.brelnall2 Bool) % 0.51/0.96 (declare-const tptp.funcGraphProp1 Bool) % 0.51/0.96 (declare-const tptp.funcext Bool) % 0.51/0.96 (declare-const tptp.funcext2 Bool) % 0.51/0.96 (declare-const tptp.beta1 Bool) % 0.51/0.96 (declare-const tptp.eta1 Bool) % 0.51/0.96 (declare-const tptp.eta2 Bool) % 0.51/0.96 (declare-const tptp.iffalseProp1 Bool) % 0.51/0.96 (declare-const tptp.ifp Bool) % 0.51/0.96 (declare-const tptp.theeq Bool) % 0.51/0.96 (declare-const tptp.binunionT_lem Bool) % 0.51/0.96 (declare-const tptp.powersetT_lem Bool) % 0.51/0.96 (declare-const tptp.subsetI1 Bool) % 0.51/0.96 (declare-const tptp.emptysetAx Bool) % 0.51/0.96 (declare-const tptp.setminusT_lem Bool) % 0.51/0.96 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.51/0.96 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.51/0.96 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.51/0.96 (define tptp.breln1 () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.breln _let_2) _let_2) _let_1))))) % 0.51/0.96 (define @t1 () (@var "B" $$unsorted)) % 0.51/0.96 (define @t2 () (@var "A" $$unsorted)) % 0.51/0.96 (define @t3 () (= @t2 @t1)) % 0.51/0.96 (define @t4 () (@var "Xx" $$unsorted)) % 0.51/0.96 (define @t5 () (_ tptp.in @t4)) % 0.51/0.96 (define @t6 () (_ @t5 @t1)) % 0.51/0.96 (define @t7 () (_ @t5 @t2)) % 0.51/0.96 (define @t8 () (@list @t4)) % 0.51/0.96 (define @t9 () (@list @t2 @t1)) % 0.51/0.96 (define @t10 () (_ @t5 tptp.emptyset)) % 0.51/0.96 (define @t11 () (forall @t8 (not @t10))) % 0.51/0.96 (define @t12 () (@var "Xy" $$unsorted)) % 0.51/0.96 (define @t13 () (_ tptp.in @t12)) % 0.51/0.96 (define @t14 () (_ @t13 @t2)) % 0.51/0.96 (define @t15 () (= @t12 @t4)) % 0.51/0.96 (define @t16 () (or @t15 @t14)) % 0.51/0.96 (define @t17 () (_ tptp.setadjoin @t4)) % 0.51/0.96 (define @t18 () (_ @t17 @t2)) % 0.51/0.96 (define @t19 () (_ @t13 @t18)) % 0.51/0.96 (define @t20 () (@list @t4 @t2 @t12)) % 0.51/0.96 (define @t21 () (=> @t6 @t7)) % 0.51/0.96 (define @t22 () (forall @t8 @t21)) % 0.51/0.96 (define @t23 () (_ tptp.powerset @t2)) % 0.51/0.96 (define @t24 () (_ tptp.in @t1)) % 0.51/0.96 (define @t25 () (_ @t24 @t23)) % 0.51/0.96 (define @t26 () (_ @t24 @t2)) % 0.51/0.96 (define @t27 () (@list @t1)) % 0.51/0.96 (define @t28 () (_ tptp.setunion @t2)) % 0.51/0.96 (define @t29 () (_ @t5 @t28)) % 0.51/0.96 (define @t30 () (@list @t2 @t4)) % 0.51/0.96 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.51/0.96 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.51/0.96 (define @t33 () (_ @t5 tptp.omega)) % 0.51/0.96 (define @t34 () (@list @t2)) % 0.51/0.96 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.51/0.96 (define @t36 () (@list @t12)) % 0.51/0.96 (define @t37 () (_ @t35 @t4)) % 0.51/0.96 (define @t38 () (_ @t37 @t12)) % 0.51/0.96 (define @t39 () (exists @t8 @t7)) % 0.51/0.96 (define @t40 () (@var "E" $$unsorted)) % 0.51/0.96 (define @t41 () (@var "D" $$unsorted)) % 0.51/0.96 (define @t42 () (_ @t13 @t41)) % 0.51/0.96 (define @t43 () (@var "C" $$unsorted)) % 0.51/0.96 (define @t44 () (_ @t13 @t43)) % 0.51/0.96 (define @t45 () (_ @t5 @t43)) % 0.51/0.96 (define @t46 () (_ (_ tptp.in @t41) @t1)) % 0.51/0.97 (define @t47 () (forall @t8 (=> @t45 @t7))) % 0.51/0.97 (define @t48 () (@list @t43)) % 0.51/0.97 (define @t49 () (_ @t5 @t41)) % 0.51/0.97 (define @t50 () (_ (_ tptp.in @t43) @t1)) % 0.51/0.97 (define @t51 () (= @t4 @t12)) % 0.51/0.97 (define @t52 () (@list @t4 @t12)) % 0.51/0.97 (define @t53 () (@var "Xphi" (-> $$unsorted Bool))) % 0.51/0.97 (define @t54 () (_ @t53 @t4)) % 0.51/0.97 (define @t55 () (lambda @t8 @t54)) % 0.51/0.97 (define @t56 () (_ tptp.descr @t55)) % 0.51/0.97 (define @t57 () (_ tptp.exu @t55)) % 0.51/0.97 (define @t58 () (@list @t53)) % 0.51/0.97 (define @t59 () (_ @t53 @t12)) % 0.51/0.97 (define @t60 () (lambda @t36 @t59)) % 0.51/0.97 (define @t61 () (_ tptp.dsetconstr @t2)) % 0.51/0.97 (define @t62 () (_ @t61 @t60)) % 0.51/0.97 (define @t63 () (_ @t5 @t62)) % 0.51/0.97 (define @t64 () (@list @t2 @t53 @t4)) % 0.51/0.97 (define @t65 () (=> @t59 @t51)) % 0.51/0.97 (define @t66 () (exists @t8 (and @t54 (forall @t36 @t65)))) % 0.51/0.97 (define @t67 () (@var "Xphi" Bool)) % 0.51/0.97 (define @t68 () (_ tptp.prop2set @t67)) % 0.51/0.97 (define @t69 () (@list @t67 @t4)) % 0.51/0.97 (define @t70 () (@list @t67)) % 0.51/0.97 (define @t71 () (exists @t8 @t54)) % 0.51/0.97 (define @t72 () (=> @t7 @t6)) % 0.51/0.97 (define @t73 () (forall @t8 @t72)) % 0.51/0.97 (define @t74 () (= @t2 tptp.emptyset)) % 0.51/0.97 (define @t75 () (not @t7)) % 0.51/0.97 (define @t76 () (forall @t34 (=> (forall @t8 @t75) @t74))) % 0.51/0.97 (define @t77 () (_ tptp.nonempty @t2)) % 0.51/0.97 (define @t78 () (forall @t34 (_ @t31 @t23))) % 0.51/0.97 (define @t79 () (@list @t2 @t1 @t4)) % 0.51/0.97 (define @t80 () (@list @t2 @t4 @t1)) % 0.51/0.97 (define @t81 () (exists @t8 (forall @t36 (= @t59 @t15)))) % 0.51/0.97 (define @t82 () (_ tptp.setadjoin @t12)) % 0.51/0.97 (define @t83 () (_ @t82 tptp.emptyset)) % 0.51/0.97 (define @t84 () (_ @t5 @t83)) % 0.51/0.97 (define @t85 () (_ @t17 tptp.emptyset)) % 0.51/0.97 (define @t86 () (_ @t13 @t85)) % 0.51/0.97 (define @t87 () (@var "Xz" $$unsorted)) % 0.51/0.97 (define @t88 () (= @t87 @t12)) % 0.51/0.97 (define @t89 () (= @t87 @t4)) % 0.51/0.97 (define @t90 () (_ @t17 @t83)) % 0.51/0.97 (define @t91 () (_ tptp.in @t87)) % 0.51/0.97 (define @t92 () (@list @t4 @t12 @t87)) % 0.51/0.97 (define @t93 () (forall @t92 (=> (_ @t91 @t90) (or @t89 @t88)))) % 0.51/0.97 (define @t94 () (forall @t52 (_ @t13 @t90))) % 0.51/0.97 (define @t95 () (_ @t61 @t55)) % 0.51/0.97 (define @t96 () (exists @t8 (and @t7 @t54))) % 0.51/0.97 (define @t97 () (@list @t2 @t53)) % 0.51/0.97 (define @t98 () (not @t54)) % 0.51/0.97 (define @t99 () (exists @t8 (and @t7 @t98))) % 0.51/0.97 (define @t100 () (not (forall @t8 (=> @t7 @t54)))) % 0.51/0.97 (define @t101 () (forall @t97 (=> @t100 @t99))) % 0.51/0.97 (define @t102 () (not @t96)) % 0.51/0.97 (define @t103 () (forall @t8 (=> @t7 @t98))) % 0.51/0.97 (define @t104 () (forall @t97 (=> @t102 @t103))) % 0.51/0.97 (define @t105 () (=> @t54 @t65)) % 0.51/0.97 (define @t106 () (forall @t52 @t105)) % 0.51/0.97 (define @t107 () (_ @t13 @t1)) % 0.51/0.97 (define @t108 () (forall @t58 (=> @t57 @t106))) % 0.51/0.97 (define @t109 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.51/0.97 (define @t110 () (lambda @t8 (_ @t109 @t4))) % 0.51/0.97 (define @t111 () (_ tptp.exu @t110)) % 0.51/0.97 (define @t112 () (=> @t51 (= @t54 (_ @t109 @t12)))) % 0.51/0.97 (define @t113 () (forall @t52 @t112)) % 0.51/0.97 (define @t114 () (@list @t53 @t109)) % 0.51/0.97 (define @t115 () (@var "Xu" $$unsorted)) % 0.51/0.97 (define @t116 () (= @t87 @t115)) % 0.51/0.97 (define @t117 () (@list @t87 @t115)) % 0.51/0.97 (define @t118 () (_ tptp.powerset @t1)) % 0.51/0.97 (define @t119 () (_ tptp.dsetconstr @t1)) % 0.51/0.97 (define @t120 () (_ tptp.subset @t2)) % 0.51/0.97 (define @t121 () (_ @t120 @t1)) % 0.51/0.97 (define @t122 () (forall @t9 (=> @t73 @t121))) % 0.51/0.97 (define @t123 () (_ tptp.subset @t1)) % 0.51/0.97 (define @t124 () (_ @t123 @t2)) % 0.51/0.97 (define @t125 () (not @t6)) % 0.51/0.97 (define @t126 () (=> @t125 @t75)) % 0.51/0.97 (define @t127 () (not @t121)) % 0.51/0.97 (define @t128 () (not @t3)) % 0.51/0.97 (define @t129 () (@list @t2 @t1 @t43)) % 0.51/0.97 (define @t130 () (_ tptp.in @t2)) % 0.51/0.97 (define @t131 () (_ (_ tptp.binunion @t2) @t1)) % 0.51/0.97 (define @t132 () (_ @t5 @t131)) % 0.51/0.97 (define @t133 () (=> @t6 @t67)) % 0.51/0.97 (define @t134 () (_ tptp.binintersect @t2)) % 0.51/0.97 (define @t135 () (_ @t134 @t1)) % 0.51/0.97 (define @t136 () (_ @t5 @t135)) % 0.51/0.97 (define @t137 () (_ tptp.subset @t43)) % 0.51/0.97 (define @t138 () (_ tptp.subset @t135)) % 0.51/0.97 (define @t139 () (= @t135 @t2)) % 0.51/0.97 (define @t140 () (= @t135 @t1)) % 0.51/0.97 (define @t141 () (_ tptp.setminus @t2)) % 0.51/0.97 (define @t142 () (_ @t141 @t1)) % 0.51/0.97 (define @t143 () (_ @t5 @t142)) % 0.51/0.97 (define @t144 () (= @t142 tptp.emptyset)) % 0.51/0.97 (define @t145 () (not @t143)) % 0.51/0.97 (define @t146 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.51/0.97 (define @t147 () (not @t146)) % 0.51/0.97 (define @t148 () (_ tptp.setadjoin @t85)) % 0.51/0.97 (define @t149 () (_ @t148 (_ (_ tptp.setadjoin @t90) tptp.emptyset))) % 0.51/0.97 (define @t150 () (_ tptp.setunion @t149)) % 0.51/0.97 (define @t151 () (_ tptp.kpair @t4)) % 0.51/0.97 (define @t152 () (_ @t151 @t12)) % 0.51/0.97 (define @t153 () (_ tptp.in @t85)) % 0.51/0.97 (define @t154 () (_ tptp.powerset @t131)) % 0.51/0.97 (define @t155 () (_ tptp.powerset @t154)) % 0.51/0.97 (define @t156 () (_ tptp.in @t152)) % 0.51/0.97 (define @t157 () (_ tptp.cartprod @t2)) % 0.51/0.97 (define @t158 () (_ @t157 @t1)) % 0.51/0.97 (define @t159 () (_ @t156 @t158)) % 0.51/0.97 (define @t160 () (_ (_ tptp.in @t115) @t158)) % 0.51/0.97 (define @t161 () (@list @t2 @t1 @t115)) % 0.51/0.97 (define @t162 () (_ tptp.iskpair @t115)) % 0.51/0.97 (define @t163 () (@var "X" $$unsorted)) % 0.51/0.97 (define @t164 () (_ @t5 @t163)) % 0.51/0.97 (define @t165 () (_ tptp.in @t163)) % 0.51/0.97 (define @t166 () (@list @t163)) % 0.51/0.97 (define @t167 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.51/0.97 (define @t168 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t105))))) % 0.51/0.97 (define @t169 () (_ tptp.ex1 @t2)) % 0.51/0.97 (define @t170 () (_ @t169 @t55)) % 0.51/0.97 (define @t171 () (= @t4 @t87)) % 0.51/0.97 (define @t172 () (_ tptp.setadjoin @t87)) % 0.51/0.97 (define @t173 () (_ @t172 tptp.emptyset)) % 0.51/0.97 (define @t174 () (_ tptp.dsetconstr (_ tptp.setunion @t115))) % 0.51/0.97 (define @t175 () (@list @t115)) % 0.51/0.97 (define @t176 () (_ tptp.setunion @t163)) % 0.51/0.97 (define @t177 () (_ tptp.singleton @t163)) % 0.51/0.97 (define @t178 () (= (_ tptp.kfst @t152) @t4)) % 0.51/0.97 (define @t179 () (_ tptp.kfst @t115)) % 0.51/0.97 (define @t180 () (= @t149 (_ (_ tptp.setadjoin @t173) (_ (_ tptp.setadjoin (_ @t172 (_ (_ tptp.setadjoin @t115) tptp.emptyset))) tptp.emptyset)))) % 0.51/0.97 (define @t181 () (@list @t4 @t12 @t87 @t115)) % 0.51/0.97 (define @t182 () (_ tptp.kpair @t87)) % 0.51/0.97 (define @t183 () (= @t152 (_ @t182 @t115))) % 0.51/0.97 (define @t184 () (= @t12 @t115)) % 0.51/0.97 (define @t185 () (_ tptp.kpair @t179)) % 0.51/0.97 (define @t186 () (= (_ tptp.ksnd @t152) @t12)) % 0.51/0.97 (define @t187 () (_ tptp.ksnd @t115)) % 0.51/0.97 (define @t188 () (= (_ @t185 @t187) @t115)) % 0.51/0.97 (define @t189 () (@list @t2 @t1 @t4 @t12)) % 0.51/0.97 (define @t190 () (_ tptp.dpsetconstr @t2)) % 0.51/0.97 (define @t191 () (_ @t190 @t1)) % 0.51/0.97 (define @t192 () (_ @t156 (_ @t191 (lambda @t117 (_ (_ @t35 @t87) @t115))))) % 0.51/0.97 (define @t193 () (@list @t2 @t1 @t35 @t4)) % 0.51/0.97 (define @t194 () (lambda @t52 @t38)) % 0.51/0.97 (define @t195 () (_ @t191 @t194)) % 0.51/0.97 (define @t196 () (@list @t2 @t1 @t35)) % 0.51/0.97 (define @t197 () (_ tptp.breln @t2)) % 0.51/0.97 (define @t198 () (_ @t197 @t1)) % 0.51/0.97 (define @t199 () (=> @t192 @t38)) % 0.51/0.97 (define @t200 () (@list @t2 @t1 @t35 @t4 @t12)) % 0.51/0.97 (define @t201 () (@var "Xf" $$unsorted)) % 0.51/0.97 (define @t202 () (_ @t156 @t201)) % 0.51/0.97 (define @t203 () (_ @t119 (lambda @t36 @t202))) % 0.51/0.97 (define @t204 () (_ (_ tptp.func @t2) @t1)) % 0.51/0.97 (define @t205 () (_ @t204 @t201)) % 0.51/0.97 (define @t206 () (@list @t2 @t1 @t201)) % 0.51/0.97 (define @t207 () (_ (_ tptp.ap @t2) @t1)) % 0.51/0.97 (define @t208 () (_ (_ @t207 @t201) @t4)) % 0.51/0.97 (define @t209 () (forall @t8 (=> @t7 (_ (_ tptp.in @t208) @t1)))) % 0.51/0.97 (define @t210 () (_ (_ tptp.funcSet @t2) @t1)) % 0.51/0.97 (define @t211 () (_ (_ tptp.in @t201) @t210)) % 0.51/0.97 (define @t212 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.51/0.97 (define @t213 () (_ @t212 @t4)) % 0.51/0.97 (define @t214 () (forall @t8 (=> @t7 (_ (_ tptp.in @t213) @t1)))) % 0.51/0.97 (define @t215 () (@list @t2 @t1 @t212)) % 0.51/0.97 (define @t216 () (_ (_ tptp.lam @t2) @t1)) % 0.51/0.97 (define @t217 () (_ @t216 (lambda @t8 @t213))) % 0.51/0.97 (define @t218 () (@var "R" $$unsorted)) % 0.51/0.97 (define @t219 () (forall @t8 (=> (_ @t5 @t218) @t54))) % 0.51/0.97 (define @t220 () (_ @t156 @t218)) % 0.51/0.97 (define @t221 () (=> @t220 (_ @t53 @t152))) % 0.51/0.97 (define @t222 () (_ @t198 @t218)) % 0.51/0.97 (define @t223 () (@list @t2 @t1 @t218)) % 0.51/0.97 (define @t224 () (forall @t223 (=> @t222 (forall @t58 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t107 @t221)))) @t219))))) % 0.51/0.97 (define @t225 () (forall @t8 (=> @t7 (_ (_ tptp.in (_ @t151 @t208)) @t201)))) % 0.51/0.97 (define @t226 () (forall @t8 (=> @t7 (forall @t36 (=> @t107 (=> @t202 (= @t208 @t12))))))) % 0.51/0.97 (define @t227 () (@var "Xg" $$unsorted)) % 0.51/0.97 (define @t228 () (forall @t8 (=> @t7 (= @t208 (_ (_ @t207 @t227) @t4))))) % 0.51/0.97 (define @t229 () (_ @t204 @t227)) % 0.51/0.97 (define @t230 () (@list @t227)) % 0.51/0.97 (define @t231 () (@var "S" $$unsorted)) % 0.51/0.97 (define @t232 () (_ tptp.subset @t218)) % 0.51/0.97 (define @t233 () (_ @t232 @t231)) % 0.51/0.97 (define @t234 () (_ @t156 @t231)) % 0.51/0.97 (define @t235 () (=> @t220 @t234)) % 0.51/0.97 (define @t236 () (forall @t8 (=> @t7 (forall @t36 (=> @t107 @t235))))) % 0.51/0.97 (define @t237 () (_ @t198 @t231)) % 0.51/0.97 (define @t238 () (@list @t231)) % 0.51/0.97 (define @t239 () (= @t218 @t231)) % 0.51/0.97 (define @t240 () (=> @t234 @t220)) % 0.51/0.97 (define @t241 () (=> @t228 (= @t201 @t227))) % 0.51/0.97 (define @t242 () (forall @t8 (=> @t7 (= @t208 @t208)))) % 0.51/0.97 (define @t243 () (forall @t215 (=> @t214 (forall @t8 (=> @t7 (= (_ (_ @t207 (_ @t216 (lambda @t36 (_ @t212 @t12)))) @t4) @t213)))))) % 0.51/0.97 (define @t244 () (= (_ @t216 (lambda @t8 @t208)) @t201)) % 0.51/0.97 (define @t245 () (not @t67)) % 0.51/0.97 (define @t246 () (@list @t87)) % 0.51/0.97 (define @t247 () (_ @t61 (lambda @t246 (or (and @t67 @t89) (and @t245 @t88))))) % 0.51/0.97 (define @t248 () (@list @t2 @t67 @t4)) % 0.51/0.97 (define @t249 () (_ (_ (_ (_ tptp.if @t2) @t67) @t4) @t12)) % 0.51/0.97 (define @t250 () (_ tptp.in @t249)) % 0.51/0.97 (define @t251 () (@var "Y" $$unsorted)) % 0.51/0.97 (define @t252 () (_ (_ tptp.binintersect @t163) @t251)) % 0.51/0.97 (define @t253 () (_ tptp.in @t252)) % 0.51/0.97 (define @t254 () (_ (_ tptp.in @t251) @t23)) % 0.51/0.97 (define @t255 () (@list @t251)) % 0.51/0.97 (define @t256 () (_ @t165 @t23)) % 0.51/0.97 (define @t257 () (@list @t2 @t163)) % 0.51/0.97 (define @t258 () (_ tptp.binunion @t163)) % 0.51/0.97 (define @t259 () (_ @t258 @t251)) % 0.51/0.97 (define @t260 () (_ @t141 @t163)) % 0.51/0.97 (define @t261 () (_ tptp.in @t260)) % 0.51/0.97 (define @t262 () (_ @t5 @t251)) % 0.51/0.97 (define @t263 () (=> @t164 @t262)) % 0.51/0.97 (define @t264 () (forall @t8 (=> @t7 @t263))) % 0.51/0.97 (define @t265 () (_ tptp.subset @t163)) % 0.51/0.97 (define @t266 () (_ @t265 @t251)) % 0.51/0.97 (define @t267 () (_ @t165 (_ tptp.powerset @t251))) % 0.51/0.97 (define @t268 () (_ @t5 @t260)) % 0.51/0.97 (define @t269 () (not @t268)) % 0.51/0.97 (define @t270 () (_ @t5 @t252)) % 0.51/0.97 (define @t271 () (not @t270)) % 0.51/0.97 (define @t272 () (not @t164)) % 0.51/0.97 (define @t273 () (not @t262)) % 0.51/0.97 (define @t274 () (_ @t141 @t251)) % 0.51/0.97 (define @t275 () (_ @t265 @t274)) % 0.51/0.97 (define @t276 () (_ (_ tptp.subset @t274) @t260)) % 0.51/0.97 (define @t277 () (_ @t141 @t260)) % 0.51/0.97 (define @t278 () (_ @t5 @t277)) % 0.51/0.97 (define @t279 () (_ @t141 @t252)) % 0.51/0.97 (define @t280 () (_ @t5 @t279)) % 0.51/0.97 (define @t281 () (forall @t257 (=> @t256 (forall @t255 (=> @t254 (_ @t261 (_ tptp.powerset @t279))))))) % 0.51/0.97 (define @t282 () (_ tptp.subset @t251)) % 0.51/0.97 (define @t283 () (forall @t257 (=> @t256 (forall @t255 (=> @t254 (=> @t275 (_ @t282 @t260))))))) % 0.51/0.97 (define @t284 () (_ @t5 @t259)) % 0.51/0.97 (define @t285 () (not @t284)) % 0.51/0.97 (define @t286 () (@var "Z" $$unsorted)) % 0.51/0.97 (define @t287 () (_ @t258 @t286)) % 0.51/0.97 (define @t288 () (_ (_ tptp.in @t286) @t23)) % 0.51/0.97 (define @t289 () (@list @t286)) % 0.51/0.97 (define @t290 () (_ (_ tptp.binunion @t251) @t286)) % 0.51/0.97 (define @t291 () (_ (_ tptp.binintersect @t287) @t290)) % 0.51/0.97 (define @t292 () (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (_ @t253 (_ tptp.powerset @t291))))))))) % 0.51/0.97 (define @t293 () (_ @t141 @t259)) % 0.51/0.97 (define @t294 () (_ @t5 @t293)) % 0.51/0.97 (define @t295 () (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t294 @t268)))))))) % 0.51/0.97 (define @t296 () (forall @t257 (=> @t256 (forall @t255 (=> @t254 (_ (_ tptp.in @t293) (_ tptp.powerset @t260))))))) % 0.51/0.97 (define @t297 () (_ @t5 @t274)) % 0.51/0.97 (define @t298 () (_ (_ tptp.binunion @t260) @t274)) % 0.51/0.97 (define @t299 () (_ @t5 @t298)) % 0.51/0.97 (define @t300 () (_ (_ tptp.binintersect @t260) @t274)) % 0.51/0.97 (define @t301 () (_ @t5 @t300)) % 0.51/0.97 (define @t302 () (_ tptp.subset @t252)) % 0.51/0.97 (define @t303 () (_ @t302 @t286)) % 0.51/0.97 (define @t304 () (_ @t265 @t286)) % 0.51/0.97 (define @t305 () (@var "W" $$unsorted)) % 0.51/0.97 (define @t306 () (_ (_ tptp.in @t305) @t23)) % 0.51/0.97 (define @t307 () (@list @t305)) % 0.51/0.97 (define @t308 () (_ tptp.breln1 @t2)) % 0.51/0.97 (define @t309 () (_ @t308 @t218)) % 0.51/0.97 (define @t310 () (@list @t2 @t218)) % 0.51/0.97 (define @t311 () (forall @t310 (=> @t309 (forall @t58 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t221)))) @t219))))) % 0.51/0.97 (define @t312 () (_ tptp.in @t218)) % 0.51/0.97 (define @t313 () (_ tptp.kpair @t12)) % 0.51/0.97 (define @t314 () (@list @t218)) % 0.51/0.97 (define @t315 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t235))))) % 0.51/0.97 (define @t316 () (_ @t308 @t231)) % 0.51/0.97 (define @t317 () (_ (_ tptp.breln1invset @t2) @t218)) % 0.51/0.97 (define @t318 () (_ (_ tptp.in (_ @t313 @t4)) @t317)) % 0.51/0.97 (define @t319 () (_ (_ (_ tptp.breln1compset @t2) @t218) @t231)) % 0.51/0.97 (define @t320 () (_ @t156 @t319)) % 0.51/0.97 (define @t321 () (_ @t182 @t12)) % 0.51/0.97 (define @t322 () (_ (_ tptp.in @t321) @t231)) % 0.51/0.97 (define @t323 () (_ @t151 @t87)) % 0.51/0.97 (define @t324 () (_ (_ tptp.in @t323) @t218)) % 0.51/0.97 (define @t325 () (_ @t91 @t2)) % 0.51/0.97 (define @t326 () (and @t325 @t324 @t322)) % 0.51/0.97 (define @t327 () (exists @t246 @t326)) % 0.51/0.97 (define @t328 () (=> @t320 @t327)) % 0.51/0.97 (define @t329 () (=> @t14 @t328)) % 0.51/0.97 (define @t330 () (forall @t36 @t329)) % 0.51/0.97 (define @t331 () (=> @t7 @t330)) % 0.51/0.97 (define @t332 () (forall @t8 @t331)) % 0.51/0.97 (define @t333 () (=> @t316 @t332)) % 0.51/0.97 (define @t334 () (forall @t238 @t333)) % 0.51/0.97 (define @t335 () (=> @t309 @t334)) % 0.51/0.97 (define @t336 () (forall @t310 @t335)) % 0.51/0.97 (define @t337 () (= tptp.breln1compE @t336)) % 0.51/0.97 (define @t338 () (=> @t322 @t67)) % 0.51/0.97 (define @t339 () (=> @t324 @t338)) % 0.51/0.97 (define @t340 () (forall @t246 (=> @t325 @t339))) % 0.51/0.97 (define @t341 () (=> @t340 @t67)) % 0.51/0.97 (define @t342 () (forall @t70 @t341)) % 0.51/0.97 (define @t343 () (=> @t320 @t342)) % 0.51/0.97 (define @t344 () (=> @t14 @t343)) % 0.51/0.97 (define @t345 () (forall @t36 @t344)) % 0.51/0.97 (define @t346 () (=> @t7 @t345)) % 0.51/0.97 (define @t347 () (forall @t8 @t346)) % 0.51/0.97 (define @t348 () (=> @t316 @t347)) % 0.51/0.97 (define @t349 () (forall @t238 @t348)) % 0.51/0.97 (define @t350 () (=> @t309 @t349)) % 0.51/0.97 (define @t351 () (forall @t310 @t350)) % 0.51/0.97 (define @t352 () (=> tptp.breln1compE @t351)) % 0.51/0.97 (define @t353 () (=> tptp.breln1compI @t352)) % 0.51/0.97 (define @t354 () (=> tptp.breln1compprop @t353)) % 0.51/0.97 (define @t355 () (=> tptp.breln1invE @t354)) % 0.51/0.97 (define @t356 () (=> tptp.breln1invI @t355)) % 0.51/0.97 (define @t357 () (=> tptp.breln1invprop @t356)) % 0.51/0.97 (define @t358 () (=> tptp.eqbreln1 @t357)) % 0.51/0.97 (define @t359 () (=> tptp.subbreln1 @t358)) % 0.51/0.97 (define @t360 () (=> tptp.breln1all1 @t359)) % 0.51/0.97 (define @t361 () (=> tptp.setOfPairsIsBReln1 @t360)) % 0.51/0.97 (define @t362 () (=> tptp.choice2fnsingleton @t361)) % 0.51/0.97 (define @t363 () (=> tptp.breln1SetBreln1 @t362)) % 0.51/0.97 (define @t364 () (=> tptp.breln1all2 @t363)) % 0.51/0.97 (define @t365 () (=> tptp.woz1_5 @t364)) % 0.51/0.97 (define @t366 () (=> tptp.woz1_4 @t365)) % 0.51/0.97 (define @t367 () (=> tptp.woz1_3 @t366)) % 0.51/0.97 (define @t368 () (=> tptp.woz1_2 @t367)) % 0.51/0.97 (define @t369 () (=> tptp.woz1_1 @t368)) % 0.51/0.97 (define @t370 () (=> tptp.woz13rule4 @t369)) % 0.51/0.97 (define @t371 () (=> tptp.woz13rule3 @t370)) % 0.51/0.97 (define @t372 () (=> tptp.woz13rule2 @t371)) % 0.51/0.97 (define @t373 () (=> tptp.woz13rule1 @t372)) % 0.51/0.97 (define @t374 () (=> tptp.woz13rule0 @t373)) % 0.51/0.97 (define @t375 () (=> tptp.demorgan2 @t374)) % 0.51/0.97 (define @t376 () (=> tptp.demorgan2b @t375)) % 0.51/0.97 (define @t377 () (=> tptp.demorgan2b2 @t376)) % 0.51/0.97 (define @t378 () (=> tptp.demorgan2a @t377)) % 0.51/0.97 (define @t379 () (=> tptp.demorgan1 @t378)) % 0.51/0.97 (define @t380 () (=> tptp.demorgan1b @t379)) % 0.51/0.97 (define @t381 () (=> tptp.demorgan1a @t380)) % 0.51/0.97 (define @t382 () (=> tptp.demorgan2a2 @t381)) % 0.51/0.97 (define @t383 () (=> tptp.complementUnionInPowersetComplement @t382)) % 0.51/0.97 (define @t384 () (=> tptp.demorgan2a1 @t383)) % 0.51/0.97 (define @t385 () (=> tptp.binunionTEcontra @t384)) % 0.51/0.97 (define @t386 () (=> tptp.binunionTE @t385)) % 0.51/0.97 (define @t387 () (=> tptp.inComplementUnionImpInComplement1 @t386)) % 0.51/0.97 (define @t388 () (=> tptp.inComplementUnionImpNotIn1 @t387)) % 0.51/0.97 (define @t389 () (=> tptp.intersectInPowersetIntersectUnions @t388)) % 0.51/0.97 (define @t390 () (=> tptp.inIntersectImpInIntersectUnions @t389)) % 0.51/0.97 (define @t391 () (=> tptp.inIntersectImpInUnion2 @t390)) % 0.51/0.97 (define @t392 () (=> tptp.inIntersectImpInUnion @t391)) % 0.51/0.97 (define @t393 () (=> tptp.binunionTIRcontra @t392)) % 0.51/0.97 (define @t394 () (=> tptp.binunionTILcontra @t393)) % 0.51/0.97 (define @t395 () (=> tptp.complementTcontraSubset @t394)) % 0.51/0.97 (define @t396 () (=> tptp.contraSubsetComplement @t395)) % 0.51/0.97 (define @t397 () (=> tptp.complementInPowersetComplementIntersect @t396)) % 0.51/0.97 (define @t398 () (=> tptp.complementSubsetComplementIntersect @t397)) % 0.51/0.97 (define @t399 () (=> tptp.complementImpComplementIntersect @t398)) % 0.51/0.97 (define @t400 () (=> tptp.complementTnotintersectT @t399)) % 0.51/0.97 (define @t401 () (=> tptp.doubleComplementEq @t400)) % 0.51/0.97 (define @t402 () (=> tptp.doubleComplementSub2 @t401)) % 0.51/0.97 (define @t403 () (=> tptp.doubleComplementSub1 @t402)) % 0.51/0.97 (define @t404 () (=> tptp.doubleComplementE1 @t403)) % 0.51/0.97 (define @t405 () (=> tptp.doubleComplementI1 @t404)) % 0.51/0.97 (define @t406 () (=> tptp.contrasubsetT3 @t405)) % 0.51/0.97 (define @t407 () (=> tptp.contrasubsetT2 @t406)) % 0.51/0.97 (define @t408 () (=> tptp.contrasubsetT1 @t407)) % 0.51/0.97 (define @t409 () (=> tptp.contrasubsetT @t408)) % 0.51/0.97 (define @t410 () (=> tptp.binintersectTERcontra @t409)) % 0.51/0.97 (define @t411 () (=> tptp.binintersectTELcontra @t410)) % 0.51/0.97 (define @t412 () (=> tptp.complementTE1 @t411)) % 0.51/0.97 (define @t413 () (=> tptp.complementTI1 @t412)) % 0.51/0.97 (define @t414 () (=> tptp.powersetTE1 @t413)) % 0.51/0.97 (define @t415 () (=> tptp.powersetTI1 @t414)) % 0.51/0.97 (define @t416 () (=> tptp.subsetTI @t415)) % 0.51/0.97 (define @t417 () (=> tptp.setextT @t416)) % 0.51/0.97 (define @t418 () (=> tptp.complementT_lem @t417)) % 0.51/0.97 (define @t419 () (=> tptp.setminusT_lem @t418)) % 0.51/0.97 (define @t420 () (=> tptp.powersetT_lem @t419)) % 0.51/0.97 (define @t421 () (=> tptp.binunionT_lem @t420)) % 0.51/0.97 (define @t422 () (=> tptp.binintersectT_lem @t421)) % 0.51/0.97 (define @t423 () (=> tptp.iftrueorfalse @t422)) % 0.51/0.97 (define @t424 () (=> tptp.iffalse @t423)) % 0.51/0.97 (define @t425 () (=> tptp.iftrue @t424)) % 0.51/0.97 (define @t426 () (=> tptp.theeq @t425)) % 0.51/0.97 (define @t427 () (=> tptp.ifp @t426)) % 0.51/0.97 (define @t428 () (=> tptp.ifSingleton @t427)) % 0.51/0.97 (define @t429 () (=> tptp.iftrueProp2 @t428)) % 0.51/0.97 (define @t430 () (=> tptp.iftrueProp1 @t429)) % 0.51/0.97 (define @t431 () (=> tptp.iffalseProp2 @t430)) % 0.51/0.97 (define @t432 () (=> tptp.iffalseProp1 @t431)) % 0.51/0.97 (define @t433 () (=> tptp.eta2 @t432)) % 0.51/0.97 (define @t434 () (=> tptp.beta2 @t433)) % 0.51/0.97 (define @t435 () (=> tptp.lam2lamEq @t434)) % 0.51/0.97 (define @t436 () (=> tptp.eta1 @t435)) % 0.51/0.97 (define @t437 () (=> tptp.beta1 @t436)) % 0.51/0.97 (define @t438 () (=> tptp.ap2apEq2 @t437)) % 0.51/0.97 (define @t439 () (=> tptp.ap2apEq1 @t438)) % 0.51/0.97 (define @t440 () (=> tptp.funcext2 @t439)) % 0.51/0.97 (define @t441 () (=> tptp.funcext @t440)) % 0.51/0.97 (define @t442 () (=> tptp.eqbreln @t441)) % 0.51/0.97 (define @t443 () (=> tptp.subbreln @t442)) % 0.51/0.97 (define @t444 () (=> tptp.funcGraphProp4 @t443)) % 0.51/0.97 (define @t445 () (=> tptp.funcextLem @t444)) % 0.51/0.97 (define @t446 () (=> tptp.funcGraphProp2 @t445)) % 0.51/0.97 (define @t447 () (=> tptp.funcGraphProp3 @t446)) % 0.51/0.97 (define @t448 () (=> tptp.funcGraphProp1 @t447)) % 0.51/0.97 (define @t449 () (=> tptp.ex1E2 @t448)) % 0.51/0.97 (define @t450 () (=> tptp.brelnall2 @t449)) % 0.51/0.97 (define @t451 () (=> tptp.brelnall1 @t450)) % 0.51/0.97 (define @t452 () (=> tptp.lam2p @t451)) % 0.51/0.97 (define @t453 () (=> tptp.lamp @t452)) % 0.51/0.97 (define @t454 () (=> tptp.lamProp @t453)) % 0.51/0.97 (define @t455 () (=> tptp.funcinfuncset @t454)) % 0.51/0.97 (define @t456 () (=> tptp.ap2p @t455)) % 0.51/0.97 (define @t457 () (=> tptp.infuncsetfunc @t456)) % 0.51/0.97 (define @t458 () (=> tptp.app @t457)) % 0.51/0.97 (define @t459 () (=> tptp.apProp @t458)) % 0.51/0.97 (define @t460 () (=> tptp.funcImageSingleton @t459)) % 0.51/0.97 (define @t461 () (=> tptp.dpsetconstrER @t460)) % 0.51/0.97 (define @t462 () (=> tptp.dpsetconstrEL2 @t461)) % 0.51/0.97 (define @t463 () (=> tptp.dpsetconstrEL1 @t462)) % 0.51/0.97 (define @t464 () (=> tptp.dpsetconstrERa @t463)) % 0.51/0.97 (define @t465 () (=> tptp.setOfPairsIsBReln @t464)) % 0.51/0.97 (define @t466 () (=> tptp.dpsetconstrSub @t465)) % 0.51/0.97 (define @t467 () (=> tptp.dpsetconstrI @t466)) % 0.51/0.97 (define @t468 () (=> tptp.cartprodpairsurjEq @t467)) % 0.51/0.97 (define @t469 () (=> tptp.cartprodsndpairEq @t468)) % 0.51/0.97 (define @t470 () (=> tptp.cartprodfstpairEq @t469)) % 0.51/0.97 (define @t471 () (=> tptp.cartprodmempaircEq @t470)) % 0.51/0.97 (define @t472 () (=> tptp.cartprodpairmemER @t471)) % 0.51/0.97 (define @t473 () (=> tptp.cartprodpairmemEL @t472)) % 0.51/0.97 (define @t474 () (=> tptp.cartprodsndin @t473)) % 0.51/0.97 (define @t475 () (=> tptp.kpairsurjEq @t474)) % 0.51/0.97 (define @t476 () (=> tptp.ksndpairEq @t475)) % 0.51/0.97 (define @t477 () (=> tptp.ksndsingleton @t476)) % 0.51/0.97 (define @t478 () (=> tptp.setukpairinjR @t477)) % 0.51/0.97 (define @t479 () (=> tptp.setukpairinjR2 @t478)) % 0.51/0.97 (define @t480 () (=> tptp.upairequniteq @t479)) % 0.51/0.97 (define @t481 () (=> tptp.setukpairinjR1 @t480)) % 0.51/0.97 (define @t482 () (=> tptp.setukpairinjR12 @t481)) % 0.51/0.97 (define @t483 () (=> tptp.setukpairinjR11 @t482)) % 0.51/0.97 (define @t484 () (=> tptp.setukpairinjL @t483)) % 0.51/0.97 (define @t485 () (=> tptp.setukpairinjL2 @t484)) % 0.51/0.97 (define @t486 () (=> tptp.cartprodfstin @t485)) % 0.51/0.97 (define @t487 () (=> tptp.kfstpairEq @t486)) % 0.51/0.97 (define @t488 () (=> tptp.theprop @t487)) % 0.51/0.97 (define @t489 () (=> tptp.kfstsingleton @t488)) % 0.51/0.97 (define @t490 () (=> tptp.setukpairinjL1 @t489)) % 0.51/0.97 (define @t491 () (=> tptp.singletonsuniq @t490)) % 0.51/0.97 (define @t492 () (=> tptp.ex1I2 @t491)) % 0.51/0.97 (define @t493 () (=> tptp.ex1I @t492)) % 0.51/0.97 (define @t494 () (=> tptp.ex1E1 @t493)) % 0.51/0.97 (define @t495 () (=> tptp.singletonprop @t494)) % 0.51/0.97 (define @t496 () (=> tptp.setunionsingleton @t495)) % 0.51/0.97 (define @t497 () (=> tptp.setunionsingleton2 @t496)) % 0.51/0.97 (define @t498 () (=> tptp.setunionsingleton1 @t497)) % 0.51/0.97 (define @t499 () (=> tptp.setunionE2 @t498)) % 0.51/0.97 (define @t500 () (=> tptp.cartprodmempair @t499)) % 0.51/0.97 (define @t501 () (=> tptp.cartprodmempair1 @t500)) % 0.51/0.97 (define @t502 () (=> tptp.cartprodpairin @t501)) % 0.51/0.97 (define @t503 () (=> tptp.ubforcartprodlem3 @t502)) % 0.51/0.97 (define @t504 () (=> tptp.ubforcartprodlem2 @t503)) % 0.51/0.97 (define @t505 () (=> tptp.ubforcartprodlem1 @t504)) % 0.51/0.97 (define @t506 () (=> tptp.upairinpowunion @t505)) % 0.51/0.97 (define @t507 () (=> tptp.upairsubunion @t506)) % 0.51/0.97 (define @t508 () (=> tptp.upairset2E @t507)) % 0.51/0.97 (define @t509 () (=> tptp.singletoninpowunion @t508)) % 0.51/0.97 (define @t510 () (=> tptp.singletoninpowerset @t509)) % 0.51/0.97 (define @t511 () (=> tptp.singletonsubset @t510)) % 0.51/0.97 (define @t512 () (=> tptp.kpairp @t511)) % 0.51/0.97 (define @t513 () (=> tptp.kpairiskpair @t512)) % 0.51/0.97 (define @t514 () (=> tptp.setukpairIR @t513)) % 0.51/0.97 (define @t515 () (=> tptp.setukpairIL @t514)) % 0.51/0.97 (define @t516 () (=> tptp.secondinupair @t515)) % 0.51/0.97 (define @t517 () (=> tptp.symdiffIneg2 @t516)) % 0.51/0.97 (define @t518 () (=> tptp.symdiffIneg1 @t517)) % 0.51/0.97 (define @t519 () (=> tptp.symdiffI2 @t518)) % 0.51/0.97 (define @t520 () (=> tptp.symdiffI1 @t519)) % 0.51/0.97 (define @t521 () (=> tptp.symdiffE @t520)) % 0.51/0.97 (define @t522 () (=> tptp.setminusSubset1 @t521)) % 0.51/0.97 (define @t523 () (=> tptp.setminusLsub @t522)) % 0.51/0.97 (define @t524 () (=> tptp.setminusIRneg @t523)) % 0.51/0.97 (define @t525 () (=> tptp.setminusILneg @t524)) % 0.51/0.97 (define @t526 () (=> tptp.setminusELneg @t525)) % 0.51/0.97 (define @t527 () (=> tptp.setminusERneg @t526)) % 0.51/0.97 (define @t528 () (=> tptp.setminusSubset2 @t527)) % 0.51/0.97 (define @t529 () (=> tptp.setminusER @t528)) % 0.51/0.97 (define @t530 () (=> tptp.setminusEL @t529)) % 0.51/0.97 (define @t531 () (=> tptp.setminusI @t530)) % 0.51/0.97 (define @t532 () (=> tptp.bs114d @t531)) % 0.51/0.97 (define @t533 () (=> tptp.binintersectSubset1 @t532)) % 0.51/0.97 (define @t534 () (=> tptp.binintersectSubset4 @t533)) % 0.51/0.97 (define @t535 () (=> tptp.binintersectRsub @t534)) % 0.51/0.97 (define @t536 () (=> tptp.disjointsetsI1 @t535)) % 0.51/0.97 (define @t537 () (=> tptp.binintersectER @t536)) % 0.51/0.97 (define @t538 () (=> tptp.binintersectSubset3 @t537)) % 0.51/0.97 (define @t539 () (=> tptp.binintersectSubset2 @t538)) % 0.51/0.97 (define @t540 () (=> tptp.binintersectLsub @t539)) % 0.51/0.97 (define @t541 () (=> tptp.binintersectEL @t540)) % 0.51/0.97 (define @t542 () (=> tptp.binintersectSubset5 @t541)) % 0.51/0.97 (define @t543 () (=> tptp.binintersectI @t542)) % 0.51/0.97 (define @t544 () (=> tptp.binunionRsub @t543)) % 0.51/0.97 (define @t545 () (=> tptp.binunionLsub @t544)) % 0.51/0.97 (define @t546 () (=> tptp.binunionE @t545)) % 0.51/0.97 (define @t547 () (=> tptp.binunionEcases @t546)) % 0.51/0.97 (define @t548 () (=> tptp.binunionIR @t547)) % 0.51/0.97 (define @t549 () (=> tptp.upairset2IR @t548)) % 0.51/0.97 (define @t550 () (=> tptp.binunionIL @t549)) % 0.51/0.97 (define @t551 () (=> tptp.sepSubset @t550)) % 0.51/0.97 (define @t552 () (=> tptp.sepInPowerset @t551)) % 0.51/0.97 (define @t553 () (=> tptp.powersetsubset @t552)) % 0.51/0.97 (define @t554 () (=> tptp.inPowerset @t553)) % 0.51/0.97 (define @t555 () (=> tptp.powersetE1 @t554)) % 0.51/0.97 (define @t556 () (=> tptp.powersetI1 @t555)) % 0.51/0.97 (define @t557 () (=> tptp.subsetemptysetimpeq @t556)) % 0.51/0.97 (define @t558 () (=> tptp.setextsub @t557)) % 0.51/0.97 (define @t559 () (=> tptp.subset2powerset @t558)) % 0.51/0.97 (define @t560 () (=> tptp.setadjoinSub2 @t559)) % 0.51/0.97 (define @t561 () (=> tptp.setadjoinSub @t560)) % 0.51/0.97 (define @t562 () (=> tptp.subsetTrans @t561)) % 0.51/0.97 (define @t563 () (=> tptp.subsetRefl @t562)) % 0.51/0.97 (define @t564 () (=> tptp.notequalI2 @t563)) % 0.51/0.97 (define @t565 () (=> tptp.notequalI1 @t564)) % 0.51/0.97 (define @t566 () (=> tptp.notsubsetI @t565)) % 0.51/0.97 (define @t567 () (=> tptp.subsetE2 @t566)) % 0.51/0.97 (define @t568 () (=> tptp.subsetE @t567)) % 0.51/0.97 (define @t569 () (=> tptp.emptysetsubset @t568)) % 0.51/0.97 (define @t570 () (=> tptp.subsetI2 @t569)) % 0.51/0.97 (define @t571 () (=> tptp.eqimpsubset1 @t570)) % 0.51/0.97 (define @t572 () (=> tptp.eqimpsubset2 @t571)) % 0.51/0.97 (define @t573 () (=> tptp.subsetI1 @t572)) % 0.51/0.97 (define @t574 () (=> tptp.dsetconstr__Cong @t573)) % 0.51/0.97 (define @t575 () (=> tptp.descr__Cong @t574)) % 0.51/0.97 (define @t576 () (=> tptp.exuEu @t575)) % 0.51/0.97 (define @t577 () (=> tptp.omega__Cong @t576)) % 0.51/0.97 (define @t578 () (=> tptp.setunion__Cong @t577)) % 0.51/0.97 (define @t579 () (=> tptp.powerset__Cong @t578)) % 0.51/0.97 (define @t580 () (=> tptp.setadjoin__Cong @t579)) % 0.51/0.97 (define @t581 () (=> tptp.emptyset__Cong @t580)) % 0.51/0.97 (define @t582 () (=> tptp.exu__Cong @t581)) % 0.51/0.97 (define @t583 () (=> tptp.exuE3u @t582)) % 0.51/0.97 (define @t584 () (=> tptp.in__Cong @t583)) % 0.51/0.97 (define @t585 () (=> tptp.inCongP @t584)) % 0.51/0.97 (define @t586 () (=> tptp.exuI2 @t585)) % 0.51/0.97 (define @t587 () (=> tptp.exuI3 @t586)) % 0.51/0.97 (define @t588 () (=> tptp.exuI1 @t587)) % 0.51/0.97 (define @t589 () (=> tptp.notdallE @t588)) % 0.51/0.97 (define @t590 () (=> tptp.notdexE @t589)) % 0.51/0.97 (define @t591 () (=> tptp.prop2set2propI @t590)) % 0.51/0.97 (define @t592 () (=> tptp.prop2setI @t591)) % 0.51/0.97 (define @t593 () (=> tptp.quantDeMorgan4 @t592)) % 0.51/0.97 (define @t594 () (=> tptp.quantDeMorgan3 @t593)) % 0.51/0.97 (define @t595 () (=> tptp.quantDeMorgan2 @t594)) % 0.51/0.97 (define @t596 () (=> tptp.quantDeMorgan1 @t595)) % 0.51/0.97 (define @t597 () (=> tptp.vacuousDall @t596)) % 0.51/0.97 (define @t598 () (=> tptp.emptyE1 @t597)) % 0.51/0.97 (define @t599 () (=> tptp.upairsetIR @t598)) % 0.51/0.97 (define @t600 () (=> tptp.upairsetIL @t599)) % 0.51/0.97 (define @t601 () (=> tptp.upairsetE @t600)) % 0.51/0.97 (define @t602 () (=> tptp.singletonsswitch @t601)) % 0.51/0.97 (define @t603 () (=> tptp.eqinunit @t602)) % 0.51/0.97 (define @t604 () (=> tptp.notinsingleton @t603)) % 0.51/0.97 (define @t605 () (=> tptp.uniqinunit @t604)) % 0.51/0.97 (define @t606 () (=> tptp.nonemptyImpWitness @t605)) % 0.51/0.97 (define @t607 () (=> tptp.exuE2 @t606)) % 0.51/0.97 (define @t608 () (=> tptp.subPowSU @t607)) % 0.51/0.97 (define @t609 () (=> tptp.setunionE @t608)) % 0.51/0.97 (define @t610 () (=> tptp.setunionI @t609)) % 0.51/0.97 (define @t611 () (=> tptp.powersetE @t610)) % 0.51/0.97 (define @t612 () (=> tptp.emptyInPowerset @t611)) % 0.51/0.97 (define @t613 () (=> tptp.emptyinPowerset @t612)) % 0.51/0.97 (define @t614 () (=> tptp.powersetI @t613)) % 0.51/0.97 (define @t615 () (=> tptp.setoftrueEq @t614)) % 0.51/0.97 (define @t616 () (=> tptp.setadjoinOr @t615)) % 0.51/0.97 (define @t617 () (=> tptp.setadjoinE @t616)) % 0.51/0.97 (define @t618 () (=> tptp.setadjoinIR @t617)) % 0.51/0.97 (define @t619 () (=> tptp.emptyinunitempty @t618)) % 0.51/0.97 (define @t620 () (=> tptp.setadjoinIL @t619)) % 0.51/0.97 (define @t621 () (=> tptp.nonemptyI1 @t620)) % 0.51/0.97 (define @t622 () (=> tptp.nonemptyI @t621)) % 0.51/0.97 (define @t623 () (=> tptp.nonemptyE1 @t622)) % 0.51/0.97 (define @t624 () (=> tptp.setbeta @t623)) % 0.51/0.97 (define @t625 () (=> tptp.noeltsimpempty @t624)) % 0.51/0.97 (define @t626 () (=> tptp.emptyI @t625)) % 0.51/0.97 (define @t627 () (=> tptp.setext @t626)) % 0.51/0.97 (define @t628 () (=> tptp.exuE3e @t627)) % 0.51/0.97 (define @t629 () (=> tptp.notinemptyset @t628)) % 0.51/0.97 (define @t630 () (=> tptp.emptysetimpfalse @t629)) % 0.51/0.97 (define @t631 () (=> tptp.emptysetE @t630)) % 0.51/0.97 (define @t632 () (=> tptp.prop2setE @t631)) % 0.51/0.97 (define @t633 () (=> tptp.exuE1 @t632)) % 0.51/0.97 (define @t634 () (=> tptp.dsetconstrER @t633)) % 0.51/0.97 (define @t635 () (=> tptp.dsetconstrEL @t634)) % 0.51/0.97 (define @t636 () (=> tptp.dsetconstrI @t635)) % 0.51/0.97 (define @t637 () (=> tptp.descrp @t636)) % 0.51/0.97 (define @t638 () (=> tptp.wellorderingAx @t637)) % 0.51/0.97 (define @t639 () (=> tptp.foundationAx @t638)) % 0.51/0.97 (define @t640 () (=> tptp.replAx @t639)) % 0.51/0.97 (define @t641 () (=> tptp.omegaIndAx @t640)) % 0.51/0.97 (define @t642 () (=> tptp.omegaSAx @t641)) % 0.51/0.97 (define @t643 () (=> tptp.omega0Ax @t642)) % 0.51/0.97 (define @t644 () (=> tptp.setunionAx @t643)) % 0.51/0.97 (define @t645 () (=> tptp.powersetAx @t644)) % 0.51/0.97 (define @t646 () (=> tptp.setadjoinAx @t645)) % 0.51/0.97 (define @t647 () (=> tptp.emptysetAx @t646)) % 0.51/0.97 (define @t648 () (=> tptp.setextAx @t647)) % 0.51/0.97 (define @t649 () (not @t648)) % 0.51/0.97 (define @t650 () (lambda @t58 @t66)) % 0.51/0.97 (define @t651 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.51/0.97 (define @t652 () (_ @t137 @t158)) % 0.51/0.97 (define @t653 () (lambda @t129 @t652)) % 0.51/0.97 (define @t654 () (lambda @t310 (_ (_ @t197 @t2) @t218))) % 0.51/0.97 (define @t655 () (@var "BOUND_VARIABLE_17421" $$unsorted)) % 0.51/0.97 (define @t656 () (@var "BOUND_VARIABLE_17425" $$unsorted)) % 0.51/0.97 (define @t657 () (@var "BOUND_VARIABLE_17423" $$unsorted)) % 0.51/0.97 (define @t658 () (tptp.in @t87 @t2)) % 0.51/0.97 (define @t659 () (not @t658)) % 0.51/0.97 (define @t660 () (not (forall @t246 (or @t659 (not (tptp.in (tptp.kpair @t657 @t87) @t218)) (not (tptp.in (tptp.kpair @t87 @t656) @t655)))))) % 0.51/0.97 (define @t661 () (not (tptp.in (tptp.kpair @t657 @t656) (tptp.breln1compset @t2 @t218 @t655)))) % 0.51/0.97 (define @t662 () (not (tptp.in @t656 @t2))) % 0.51/0.97 (define @t663 () (not (tptp.in @t657 @t2))) % 0.51/0.97 (define @t664 () (tptp.cartprod @t2 @t2)) % 0.51/0.97 (define @t665 () (not (tptp.subset @t655 @t664))) % 0.51/0.97 (define @t666 () (tptp.subset @t218 @t664)) % 0.51/0.97 (define @t667 () (not @t666)) % 0.51/0.97 (define @t668 () (or @t667 @t665 @t663 @t662 @t661 @t660)) % 0.51/0.97 (define @t669 () (or @t665 @t663 @t662 @t661 @t660)) % 0.51/0.97 (define @t670 () (or @t667 @t669)) % 0.51/0.97 (define @t671 () (@list @t2 @t218 @t655 @t657 @t656)) % 0.51/0.97 (define @t672 () (forall @t671 @t670)) % 0.51/0.97 (define @t673 () (@list @t655 @t657 @t656)) % 0.51/0.97 (define @t674 () (forall @t673 @t670)) % 0.51/0.97 (define @t675 () (forall @t673 @t669)) % 0.51/0.97 (define @t676 () (@var "BOUND_VARIABLE_17391" $$unsorted)) % 0.51/0.97 (define @t677 () (@var "BOUND_VARIABLE_17389" $$unsorted)) % 0.51/0.97 (define @t678 () (or @t667 @t675)) % 0.51/0.97 (define @t679 () (not (forall @t246 (or @t659 (not (tptp.in (tptp.kpair @t677 @t87) @t218)) (not (tptp.in (tptp.kpair @t87 @t676) @t231)))))) % 0.51/0.97 (define @t680 () (tptp.breln1compset @t2 @t218 @t231)) % 0.51/0.97 (define @t681 () (not (tptp.in (tptp.kpair @t677 @t676) @t680))) % 0.51/0.97 (define @t682 () (not (tptp.in @t676 @t2))) % 0.51/0.97 (define @t683 () (not (tptp.in @t677 @t2))) % 0.51/0.97 (define @t684 () (tptp.subset @t231 @t664)) % 0.51/0.97 (define @t685 () (not @t684)) % 0.51/0.97 (define @t686 () (or @t685 @t683 @t682 @t681 @t679)) % 0.51/0.97 (define @t687 () (@list @t231 @t677 @t676)) % 0.51/0.97 (define @t688 () (forall @t687 @t686)) % 0.51/0.97 (define @t689 () (_ @t157 @t2)) % 0.51/0.97 (define @t690 () (_ @t232 @t689)) % 0.51/0.97 (define @t691 () (not @t690)) % 0.51/0.97 (define @t692 () (or @t691 @t688)) % 0.51/0.97 (define @t693 () (or @t683 @t682 @t681 @t679)) % 0.51/0.97 (define @t694 () (or @t685 @t693)) % 0.51/0.97 (define @t695 () (forall @t687 @t694)) % 0.51/0.97 (define @t696 () (@list @t677 @t676)) % 0.51/0.97 (define @t697 () (forall @t696 @t694)) % 0.51/0.97 (define @t698 () (forall @t696 @t693)) % 0.51/0.97 (define @t699 () (@var "BOUND_VARIABLE_17364" $$unsorted)) % 0.51/0.97 (define @t700 () (or @t685 @t698)) % 0.51/0.97 (define @t701 () (tptp.kpair @t4 @t87)) % 0.51/0.97 (define @t702 () (tptp.in @t701 @t218)) % 0.51/0.97 (define @t703 () (not @t702)) % 0.51/0.97 (define @t704 () (not (forall @t246 (or @t659 @t703 (not (tptp.in (tptp.kpair @t87 @t699) @t231)))))) % 0.51/0.97 (define @t705 () (not (tptp.in (tptp.kpair @t4 @t699) @t680))) % 0.51/0.97 (define @t706 () (not (tptp.in @t699 @t2))) % 0.51/0.97 (define @t707 () (tptp.in @t4 @t2)) % 0.51/0.97 (define @t708 () (not @t707)) % 0.51/0.97 (define @t709 () (or @t708 @t706 @t705 @t704)) % 0.51/0.97 (define @t710 () (@list @t4 @t699)) % 0.51/0.97 (define @t711 () (forall @t710 @t709)) % 0.51/0.97 (define @t712 () (_ tptp.subset @t231)) % 0.51/0.97 (define @t713 () (_ @t712 @t689)) % 0.51/0.97 (define @t714 () (not @t713)) % 0.51/0.97 (define @t715 () (or @t714 @t711)) % 0.51/0.97 (define @t716 () (or @t706 @t705 @t704)) % 0.51/0.97 (define @t717 () (or @t708 @t716)) % 0.51/0.97 (define @t718 () (forall @t710 @t717)) % 0.51/0.97 (define @t719 () (@list @t699)) % 0.51/0.97 (define @t720 () (forall @t719 @t717)) % 0.51/0.97 (define @t721 () (forall @t719 @t716)) % 0.51/0.97 (define @t722 () (or @t708 @t721)) % 0.51/0.97 (define @t723 () (tptp.kpair @t87 @t12)) % 0.51/0.97 (define @t724 () (tptp.in @t723 @t231)) % 0.51/0.97 (define @t725 () (forall @t246 (or @t659 @t703 (not @t724)))) % 0.51/0.97 (define @t726 () (not @t725)) % 0.51/0.97 (define @t727 () (tptp.kpair @t4 @t12)) % 0.51/0.97 (define @t728 () (tptp.in @t727 @t680)) % 0.51/0.97 (define @t729 () (tptp.in @t12 @t2)) % 0.51/0.97 (define @t730 () (forall @t36 (or (not @t729) (not @t728) @t726))) % 0.51/0.97 (define @t731 () (or @t75 @t730)) % 0.51/0.97 (define @t732 () (not @t320)) % 0.51/0.97 (define @t733 () (not @t14)) % 0.51/0.97 (define @t734 () (or @t733 @t732 @t726)) % 0.51/0.97 (define @t735 () (=> @t320 @t726)) % 0.51/0.97 (define @t736 () (not false)) % 0.51/0.97 (define @t737 () (and @t736 @t726)) % 0.51/0.97 (define @t738 () (or @t737 false)) % 0.51/0.97 (define @t739 () (and @t245 @t726)) % 0.51/0.97 (define @t740 () (or @t67 @t739 @t67)) % 0.51/0.97 (define @t741 () (or @t739 @t67)) % 0.51/0.97 (define @t742 () (or @t67 @t725)) % 0.51/0.97 (define @t743 () (not @t322)) % 0.51/0.97 (define @t744 () (not @t324)) % 0.51/0.97 (define @t745 () (not @t325)) % 0.51/0.97 (define @t746 () (or @t745 @t744 @t743)) % 0.51/0.97 (define @t747 () (forall @t246 @t746)) % 0.51/0.97 (define @t748 () (or @t67 @t747)) % 0.51/0.97 (define @t749 () (or @t67 @t746)) % 0.51/0.97 (define @t750 () (or @t745 @t744 @t743 @t67)) % 0.51/0.97 (define @t751 () (or @t744 @t743 @t67)) % 0.51/0.97 (define @t752 () (lambda @t314 @t690)) % 0.51/0.97 (define @t753 () (_ (lambda @t310 @t690) @t2)) % 0.51/0.97 (define @t754 () (_ @t753 @t231)) % 0.51/0.97 (define @t755 () (=> @t754 @t347)) % 0.51/0.97 (define @t756 () (forall @t238 @t755)) % 0.51/0.97 (define @t757 () (_ @t753 @t218)) % 0.51/0.97 (define @t758 () (=> @t757 @t756)) % 0.51/0.97 (define @t759 () (forall @t310 @t758)) % 0.51/0.97 (define @t760 () (=> tptp.breln1compE @t759)) % 0.51/0.97 (define @t761 () (=> tptp.breln1compI @t760)) % 0.51/0.97 (define @t762 () (=> tptp.breln1compprop @t761)) % 0.51/0.97 (define @t763 () (=> tptp.breln1invE @t762)) % 0.51/0.97 (define @t764 () (=> tptp.breln1invI @t763)) % 0.51/0.97 (define @t765 () (=> tptp.breln1invprop @t764)) % 0.51/0.97 (define @t766 () (=> tptp.eqbreln1 @t765)) % 0.51/0.97 (define @t767 () (=> tptp.subbreln1 @t766)) % 0.51/0.97 (define @t768 () (=> tptp.breln1all1 @t767)) % 0.51/0.97 (define @t769 () (=> tptp.setOfPairsIsBReln1 @t768)) % 0.51/0.97 (define @t770 () (=> tptp.choice2fnsingleton @t769)) % 0.51/0.97 (define @t771 () (=> tptp.breln1SetBreln1 @t770)) % 0.51/0.97 (define @t772 () (=> tptp.breln1all2 @t771)) % 0.51/0.97 (define @t773 () (=> tptp.woz1_5 @t772)) % 0.51/0.97 (define @t774 () (=> tptp.woz1_4 @t773)) % 0.51/0.97 (define @t775 () (=> tptp.woz1_3 @t774)) % 0.51/0.97 (define @t776 () (=> tptp.woz1_2 @t775)) % 0.51/0.97 (define @t777 () (=> tptp.woz1_1 @t776)) % 0.51/0.97 (define @t778 () (=> tptp.woz13rule4 @t777)) % 0.51/0.97 (define @t779 () (=> tptp.woz13rule3 @t778)) % 0.51/0.97 (define @t780 () (=> tptp.woz13rule2 @t779)) % 0.51/0.97 (define @t781 () (=> tptp.woz13rule1 @t780)) % 0.51/0.97 (define @t782 () (=> tptp.woz13rule0 @t781)) % 0.51/0.97 (define @t783 () (=> tptp.demorgan2 @t782)) % 0.51/0.97 (define @t784 () (=> tptp.demorgan2b @t783)) % 0.51/0.97 (define @t785 () (=> tptp.demorgan2b2 @t784)) % 0.51/0.97 (define @t786 () (=> tptp.demorgan2a @t785)) % 0.51/0.97 (define @t787 () (=> tptp.demorgan1 @t786)) % 0.51/0.97 (define @t788 () (=> tptp.demorgan1b @t787)) % 0.51/0.97 (define @t789 () (=> tptp.demorgan1a @t788)) % 0.51/0.97 (define @t790 () (=> tptp.demorgan2a2 @t789)) % 0.51/0.97 (define @t791 () (=> tptp.complementUnionInPowersetComplement @t790)) % 0.51/0.97 (define @t792 () (=> tptp.demorgan2a1 @t791)) % 0.51/0.97 (define @t793 () (=> tptp.binunionTEcontra @t792)) % 0.51/0.97 (define @t794 () (=> tptp.binunionTE @t793)) % 0.51/0.97 (define @t795 () (=> tptp.inComplementUnionImpInComplement1 @t794)) % 0.51/0.97 (define @t796 () (=> tptp.inComplementUnionImpNotIn1 @t795)) % 0.51/0.97 (define @t797 () (=> tptp.intersectInPowersetIntersectUnions @t796)) % 0.51/0.97 (define @t798 () (=> tptp.inIntersectImpInIntersectUnions @t797)) % 0.51/0.97 (define @t799 () (=> tptp.inIntersectImpInUnion2 @t798)) % 0.51/0.97 (define @t800 () (=> tptp.inIntersectImpInUnion @t799)) % 0.51/0.97 (define @t801 () (=> tptp.binunionTIRcontra @t800)) % 0.51/0.97 (define @t802 () (=> tptp.binunionTILcontra @t801)) % 0.51/0.97 (define @t803 () (=> tptp.complementTcontraSubset @t802)) % 0.51/0.97 (define @t804 () (=> tptp.contraSubsetComplement @t803)) % 0.51/0.97 (define @t805 () (=> tptp.complementInPowersetComplementIntersect @t804)) % 0.51/0.97 (define @t806 () (=> tptp.complementSubsetComplementIntersect @t805)) % 0.51/0.97 (define @t807 () (=> tptp.complementImpComplementIntersect @t806)) % 0.51/0.97 (define @t808 () (=> tptp.complementTnotintersectT @t807)) % 0.51/0.97 (define @t809 () (=> tptp.doubleComplementEq @t808)) % 0.51/0.97 (define @t810 () (=> tptp.doubleComplementSub2 @t809)) % 0.51/0.97 (define @t811 () (=> tptp.doubleComplementSub1 @t810)) % 0.51/0.97 (define @t812 () (=> tptp.doubleComplementE1 @t811)) % 0.51/0.97 (define @t813 () (=> tptp.doubleComplementI1 @t812)) % 0.51/0.97 (define @t814 () (=> tptp.contrasubsetT3 @t813)) % 0.51/0.97 (define @t815 () (=> tptp.contrasubsetT2 @t814)) % 0.51/0.97 (define @t816 () (=> tptp.contrasubsetT1 @t815)) % 0.51/0.97 (define @t817 () (=> tptp.contrasubsetT @t816)) % 0.51/0.97 (define @t818 () (=> tptp.binintersectTERcontra @t817)) % 0.51/0.97 (define @t819 () (=> tptp.binintersectTELcontra @t818)) % 0.51/0.97 (define @t820 () (=> tptp.complementTE1 @t819)) % 0.51/0.97 (define @t821 () (=> tptp.complementTI1 @t820)) % 0.51/0.97 (define @t822 () (=> tptp.powersetTE1 @t821)) % 0.51/0.97 (define @t823 () (=> tptp.powersetTI1 @t822)) % 0.51/0.97 (define @t824 () (=> tptp.subsetTI @t823)) % 0.51/0.97 (define @t825 () (=> tptp.setextT @t824)) % 0.51/0.97 (define @t826 () (=> tptp.complementT_lem @t825)) % 0.51/0.97 (define @t827 () (=> tptp.setminusT_lem @t826)) % 0.51/0.97 (define @t828 () (=> tptp.powersetT_lem @t827)) % 0.51/0.97 (define @t829 () (=> tptp.binunionT_lem @t828)) % 0.51/0.97 (define @t830 () (=> tptp.binintersectT_lem @t829)) % 0.51/0.97 (define @t831 () (=> tptp.iftrueorfalse @t830)) % 0.51/0.97 (define @t832 () (=> tptp.iffalse @t831)) % 0.51/0.97 (define @t833 () (=> tptp.iftrue @t832)) % 0.51/0.97 (define @t834 () (=> tptp.theeq @t833)) % 0.51/0.97 (define @t835 () (=> tptp.ifp @t834)) % 0.51/0.97 (define @t836 () (=> tptp.ifSingleton @t835)) % 0.51/0.97 (define @t837 () (=> tptp.iftrueProp2 @t836)) % 0.51/0.97 (define @t838 () (=> tptp.iftrueProp1 @t837)) % 0.51/0.97 (define @t839 () (=> tptp.iffalseProp2 @t838)) % 0.51/0.97 (define @t840 () (=> tptp.iffalseProp1 @t839)) % 0.51/0.97 (define @t841 () (=> tptp.eta2 @t840)) % 0.51/0.97 (define @t842 () (=> tptp.beta2 @t841)) % 0.51/0.97 (define @t843 () (=> tptp.lam2lamEq @t842)) % 0.51/0.97 (define @t844 () (=> tptp.eta1 @t843)) % 0.51/0.97 (define @t845 () (=> tptp.beta1 @t844)) % 0.51/0.97 (define @t846 () (=> tptp.ap2apEq2 @t845)) % 0.51/0.97 (define @t847 () (=> tptp.ap2apEq1 @t846)) % 0.51/0.97 (define @t848 () (=> tptp.funcext2 @t847)) % 0.51/0.97 (define @t849 () (=> tptp.funcext @t848)) % 0.51/0.97 (define @t850 () (=> tptp.eqbreln @t849)) % 0.51/0.97 (define @t851 () (=> tptp.subbreln @t850)) % 0.51/0.97 (define @t852 () (=> tptp.funcGraphProp4 @t851)) % 0.51/0.97 (define @t853 () (=> tptp.funcextLem @t852)) % 0.51/0.97 (define @t854 () (=> tptp.funcGraphProp2 @t853)) % 0.51/0.97 (define @t855 () (=> tptp.funcGraphProp3 @t854)) % 0.51/0.97 (define @t856 () (=> tptp.funcGraphProp1 @t855)) % 0.51/0.97 (define @t857 () (=> tptp.ex1E2 @t856)) % 0.51/0.97 (define @t858 () (=> tptp.brelnall2 @t857)) % 0.51/0.97 (define @t859 () (=> tptp.brelnall1 @t858)) % 0.51/0.97 (define @t860 () (=> tptp.lam2p @t859)) % 0.51/0.97 (define @t861 () (=> tptp.lamp @t860)) % 0.51/0.97 (define @t862 () (=> tptp.lamProp @t861)) % 0.51/0.97 (define @t863 () (=> tptp.funcinfuncset @t862)) % 0.51/0.97 (define @t864 () (=> tptp.ap2p @t863)) % 0.51/0.97 (define @t865 () (=> tptp.infuncsetfunc @t864)) % 0.51/0.97 (define @t866 () (=> tptp.app @t865)) % 0.51/0.97 (define @t867 () (=> tptp.apProp @t866)) % 0.51/0.97 (define @t868 () (=> tptp.funcImageSingleton @t867)) % 0.51/0.97 (define @t869 () (=> tptp.dpsetconstrER @t868)) % 0.51/0.97 (define @t870 () (=> tptp.dpsetconstrEL2 @t869)) % 0.51/0.97 (define @t871 () (=> tptp.dpsetconstrEL1 @t870)) % 0.51/0.97 (define @t872 () (=> tptp.dpsetconstrERa @t871)) % 0.51/0.97 (define @t873 () (=> tptp.setOfPairsIsBReln @t872)) % 0.51/0.97 (define @t874 () (=> tptp.dpsetconstrSub @t873)) % 0.51/0.97 (define @t875 () (=> tptp.dpsetconstrI @t874)) % 0.51/0.97 (define @t876 () (=> tptp.cartprodpairsurjEq @t875)) % 0.51/0.97 (define @t877 () (=> tptp.cartprodsndpairEq @t876)) % 0.51/0.97 (define @t878 () (=> tptp.cartprodfstpairEq @t877)) % 0.51/0.97 (define @t879 () (=> tptp.cartprodmempaircEq @t878)) % 0.51/0.97 (define @t880 () (=> tptp.cartprodpairmemER @t879)) % 0.51/0.97 (define @t881 () (=> tptp.cartprodpairmemEL @t880)) % 0.51/0.97 (define @t882 () (=> tptp.cartprodsndin @t881)) % 0.51/0.97 (define @t883 () (=> tptp.kpairsurjEq @t882)) % 0.51/0.97 (define @t884 () (=> tptp.ksndpairEq @t883)) % 0.51/0.97 (define @t885 () (=> tptp.ksndsingleton @t884)) % 0.51/0.97 (define @t886 () (=> tptp.setukpairinjR @t885)) % 0.51/0.97 (define @t887 () (=> tptp.setukpairinjR2 @t886)) % 0.51/0.97 (define @t888 () (=> tptp.upairequniteq @t887)) % 0.51/0.97 (define @t889 () (=> tptp.setukpairinjR1 @t888)) % 0.51/0.97 (define @t890 () (=> tptp.setukpairinjR12 @t889)) % 0.51/0.97 (define @t891 () (=> tptp.setukpairinjR11 @t890)) % 0.51/0.97 (define @t892 () (=> tptp.setukpairinjL @t891)) % 0.51/0.97 (define @t893 () (=> tptp.setukpairinjL2 @t892)) % 0.51/0.97 (define @t894 () (=> tptp.cartprodfstin @t893)) % 0.51/0.97 (define @t895 () (=> tptp.kfstpairEq @t894)) % 0.51/0.97 (define @t896 () (=> tptp.theprop @t895)) % 0.51/0.97 (define @t897 () (=> tptp.kfstsingleton @t896)) % 0.51/0.97 (define @t898 () (=> tptp.setukpairinjL1 @t897)) % 0.51/0.97 (define @t899 () (=> tptp.singletonsuniq @t898)) % 0.51/0.97 (define @t900 () (=> tptp.ex1I2 @t899)) % 0.51/0.97 (define @t901 () (=> tptp.ex1I @t900)) % 0.51/0.97 (define @t902 () (=> tptp.ex1E1 @t901)) % 0.51/0.97 (define @t903 () (=> tptp.singletonprop @t902)) % 0.51/0.97 (define @t904 () (=> tptp.setunionsingleton @t903)) % 0.51/0.97 (define @t905 () (=> tptp.setunionsingleton2 @t904)) % 0.51/0.97 (define @t906 () (=> tptp.setunionsingleton1 @t905)) % 0.51/0.97 (define @t907 () (=> tptp.setunionE2 @t906)) % 0.51/0.97 (define @t908 () (=> tptp.cartprodmempair @t907)) % 0.51/0.97 (define @t909 () (=> tptp.cartprodmempair1 @t908)) % 0.51/0.97 (define @t910 () (=> tptp.cartprodpairin @t909)) % 0.51/0.97 (define @t911 () (=> tptp.ubforcartprodlem3 @t910)) % 0.51/0.97 (define @t912 () (=> tptp.ubforcartprodlem2 @t911)) % 0.51/0.97 (define @t913 () (=> tptp.ubforcartprodlem1 @t912)) % 0.51/0.97 (define @t914 () (=> tptp.upairinpowunion @t913)) % 0.51/0.97 (define @t915 () (=> tptp.upairsubunion @t914)) % 0.51/0.97 (define @t916 () (=> tptp.upairset2E @t915)) % 0.51/0.97 (define @t917 () (=> tptp.singletoninpowunion @t916)) % 0.51/0.97 (define @t918 () (=> tptp.singletoninpowerset @t917)) % 0.51/0.97 (define @t919 () (=> tptp.singletonsubset @t918)) % 0.51/0.97 (define @t920 () (=> tptp.kpairp @t919)) % 0.51/0.97 (define @t921 () (=> tptp.kpairiskpair @t920)) % 0.51/0.97 (define @t922 () (=> tptp.setukpairIR @t921)) % 0.51/0.97 (define @t923 () (=> tptp.setukpairIL @t922)) % 0.51/0.97 (define @t924 () (=> tptp.secondinupair @t923)) % 0.51/0.97 (define @t925 () (=> tptp.symdiffIneg2 @t924)) % 0.51/0.97 (define @t926 () (=> tptp.symdiffIneg1 @t925)) % 0.51/0.97 (define @t927 () (=> tptp.symdiffI2 @t926)) % 0.51/0.97 (define @t928 () (=> tptp.symdiffI1 @t927)) % 0.51/0.97 (define @t929 () (=> tptp.symdiffE @t928)) % 0.51/0.97 (define @t930 () (=> tptp.setminusSubset1 @t929)) % 0.51/0.97 (define @t931 () (=> tptp.setminusLsub @t930)) % 0.51/0.97 (define @t932 () (=> tptp.setminusIRneg @t931)) % 0.51/0.97 (define @t933 () (=> tptp.setminusILneg @t932)) % 0.51/0.97 (define @t934 () (=> tptp.setminusELneg @t933)) % 0.51/0.97 (define @t935 () (=> tptp.setminusERneg @t934)) % 0.51/0.97 (define @t936 () (=> tptp.setminusSubset2 @t935)) % 0.51/0.97 (define @t937 () (=> tptp.setminusER @t936)) % 0.51/0.97 (define @t938 () (=> tptp.setminusEL @t937)) % 0.51/0.97 (define @t939 () (=> tptp.setminusI @t938)) % 0.51/0.97 (define @t940 () (=> tptp.bs114d @t939)) % 0.51/0.97 (define @t941 () (=> tptp.binintersectSubset1 @t940)) % 0.51/0.97 (define @t942 () (=> tptp.binintersectSubset4 @t941)) % 0.51/0.97 (define @t943 () (=> tptp.binintersectRsub @t942)) % 0.51/0.97 (define @t944 () (=> tptp.disjointsetsI1 @t943)) % 0.51/0.97 (define @t945 () (=> tptp.binintersectER @t944)) % 0.51/0.97 (define @t946 () (=> tptp.binintersectSubset3 @t945)) % 0.51/0.97 (define @t947 () (=> tptp.binintersectSubset2 @t946)) % 0.51/0.97 (define @t948 () (=> tptp.binintersectLsub @t947)) % 0.51/0.97 (define @t949 () (=> tptp.binintersectEL @t948)) % 0.51/0.97 (define @t950 () (=> tptp.binintersectSubset5 @t949)) % 0.51/0.97 (define @t951 () (=> tptp.binintersectI @t950)) % 0.51/0.97 (define @t952 () (=> tptp.binunionRsub @t951)) % 0.51/0.97 (define @t953 () (=> tptp.binunionLsub @t952)) % 0.51/0.97 (define @t954 () (=> tptp.binunionE @t953)) % 0.51/0.97 (define @t955 () (=> tptp.binunionEcases @t954)) % 0.51/0.97 (define @t956 () (=> tptp.binunionIR @t955)) % 0.51/0.97 (define @t957 () (=> tptp.upairset2IR @t956)) % 0.51/0.97 (define @t958 () (=> tptp.binunionIL @t957)) % 0.51/0.97 (define @t959 () (=> tptp.sepSubset @t958)) % 0.51/0.97 (define @t960 () (=> tptp.sepInPowerset @t959)) % 0.51/0.97 (define @t961 () (=> tptp.powersetsubset @t960)) % 0.51/0.97 (define @t962 () (=> tptp.inPowerset @t961)) % 0.51/0.97 (define @t963 () (=> tptp.powersetE1 @t962)) % 0.51/0.97 (define @t964 () (=> tptp.powersetI1 @t963)) % 0.51/0.97 (define @t965 () (=> tptp.subsetemptysetimpeq @t964)) % 0.51/0.97 (define @t966 () (=> tptp.setextsub @t965)) % 0.51/0.97 (define @t967 () (=> tptp.subset2powerset @t966)) % 0.51/0.97 (define @t968 () (=> tptp.setadjoinSub2 @t967)) % 0.51/0.97 (define @t969 () (=> tptp.setadjoinSub @t968)) % 0.51/0.97 (define @t970 () (=> tptp.subsetTrans @t969)) % 0.51/0.97 (define @t971 () (=> tptp.subsetRefl @t970)) % 0.51/0.97 (define @t972 () (=> tptp.notequalI2 @t971)) % 0.51/0.97 (define @t973 () (=> tptp.notequalI1 @t972)) % 0.51/0.97 (define @t974 () (=> tptp.notsubsetI @t973)) % 0.51/0.97 (define @t975 () (=> tptp.subsetE2 @t974)) % 0.51/0.97 (define @t976 () (=> tptp.subsetE @t975)) % 0.51/0.97 (define @t977 () (=> tptp.emptysetsubset @t976)) % 0.51/0.97 (define @t978 () (=> tptp.subsetI2 @t977)) % 0.51/0.97 (define @t979 () (=> tptp.eqimpsubset1 @t978)) % 0.51/0.97 (define @t980 () (=> tptp.eqimpsubset2 @t979)) % 0.51/0.97 (define @t981 () (=> tptp.subsetI1 @t980)) % 0.51/0.97 (define @t982 () (=> tptp.dsetconstr__Cong @t981)) % 0.51/0.97 (define @t983 () (=> tptp.descr__Cong @t982)) % 0.51/0.97 (define @t984 () (=> tptp.exuEu @t983)) % 0.51/0.97 (define @t985 () (=> tptp.omega__Cong @t984)) % 0.51/0.97 (define @t986 () (=> tptp.setunion__Cong @t985)) % 0.51/0.97 (define @t987 () (=> tptp.powerset__Cong @t986)) % 0.51/0.97 (define @t988 () (=> tptp.setadjoin__Cong @t987)) % 0.51/0.97 (define @t989 () (=> tptp.emptyset__Cong @t988)) % 0.51/0.97 (define @t990 () (=> tptp.exu__Cong @t989)) % 0.51/0.97 (define @t991 () (=> tptp.exuE3u @t990)) % 0.51/0.97 (define @t992 () (=> tptp.in__Cong @t991)) % 0.51/0.97 (define @t993 () (=> tptp.inCongP @t992)) % 0.51/0.97 (define @t994 () (=> tptp.exuI2 @t993)) % 0.51/0.97 (define @t995 () (=> tptp.exuI3 @t994)) % 0.51/0.97 (define @t996 () (=> tptp.exuI1 @t995)) % 0.51/0.97 (define @t997 () (=> tptp.notdallE @t996)) % 0.51/0.97 (define @t998 () (=> tptp.notdexE @t997)) % 0.51/0.97 (define @t999 () (=> tptp.prop2set2propI @t998)) % 0.51/0.97 (define @t1000 () (=> tptp.prop2setI @t999)) % 0.51/0.97 (define @t1001 () (=> tptp.quantDeMorgan4 @t1000)) % 0.51/0.97 (define @t1002 () (=> tptp.quantDeMorgan3 @t1001)) % 0.51/0.97 (define @t1003 () (=> tptp.quantDeMorgan2 @t1002)) % 0.51/0.97 (define @t1004 () (=> tptp.quantDeMorgan1 @t1003)) % 0.51/0.97 (define @t1005 () (=> tptp.vacuousDall @t1004)) % 0.51/0.97 (define @t1006 () (=> tptp.emptyE1 @t1005)) % 0.51/0.97 (define @t1007 () (=> tptp.upairsetIR @t1006)) % 0.51/0.97 (define @t1008 () (=> tptp.upairsetIL @t1007)) % 0.51/0.97 (define @t1009 () (=> tptp.upairsetE @t1008)) % 0.51/0.97 (define @t1010 () (=> tptp.singletonsswitch @t1009)) % 0.51/0.97 (define @t1011 () (=> tptp.eqinunit @t1010)) % 0.51/0.97 (define @t1012 () (=> tptp.notinsingleton @t1011)) % 0.51/0.97 (define @t1013 () (=> tptp.uniqinunit @t1012)) % 0.51/0.97 (define @t1014 () (=> tptp.nonemptyImpWitness @t1013)) % 0.51/0.97 (define @t1015 () (=> tptp.exuE2 @t1014)) % 0.51/0.97 (define @t1016 () (=> tptp.subPowSU @t1015)) % 0.51/0.97 (define @t1017 () (=> tptp.setunionE @t1016)) % 0.51/0.97 (define @t1018 () (=> tptp.setunionI @t1017)) % 0.51/0.97 (define @t1019 () (=> tptp.powersetE @t1018)) % 0.51/0.97 (define @t1020 () (=> tptp.emptyInPowerset @t1019)) % 0.51/0.97 (define @t1021 () (=> tptp.emptyinPowerset @t1020)) % 0.51/0.97 (define @t1022 () (=> tptp.powersetI @t1021)) % 0.51/0.97 (define @t1023 () (=> tptp.setoftrueEq @t1022)) % 0.51/0.97 (define @t1024 () (=> tptp.setadjoinOr @t1023)) % 0.51/0.97 (define @t1025 () (=> tptp.setadjoinE @t1024)) % 0.51/0.97 (define @t1026 () (=> tptp.setadjoinIR @t1025)) % 0.51/0.97 (define @t1027 () (=> tptp.emptyinunitempty @t1026)) % 0.51/0.97 (define @t1028 () (=> tptp.setadjoinIL @t1027)) % 0.51/0.97 (define @t1029 () (=> tptp.nonemptyI1 @t1028)) % 0.51/0.97 (define @t1030 () (=> tptp.nonemptyI @t1029)) % 0.51/0.97 (define @t1031 () (=> tptp.nonemptyE1 @t1030)) % 0.51/0.97 (define @t1032 () (=> tptp.setbeta @t1031)) % 0.51/0.97 (define @t1033 () (=> tptp.noeltsimpempty @t1032)) % 0.51/0.97 (define @t1034 () (=> tptp.emptyI @t1033)) % 0.51/0.97 (define @t1035 () (=> tptp.setext @t1034)) % 0.51/0.97 (define @t1036 () (=> tptp.exuE3e @t1035)) % 0.51/0.97 (define @t1037 () (=> tptp.notinemptyset @t1036)) % 0.51/0.97 (define @t1038 () (=> tptp.emptysetimpfalse @t1037)) % 0.51/0.97 (define @t1039 () (=> tptp.emptysetE @t1038)) % 0.51/0.97 (define @t1040 () (=> tptp.prop2setE @t1039)) % 0.51/0.97 (define @t1041 () (=> tptp.exuE1 @t1040)) % 0.51/0.97 (define @t1042 () (=> tptp.dsetconstrER @t1041)) % 0.51/0.97 (define @t1043 () (=> tptp.dsetconstrEL @t1042)) % 0.51/0.97 (define @t1044 () (=> tptp.dsetconstrI @t1043)) % 0.51/0.97 (define @t1045 () (=> tptp.descrp @t1044)) % 0.51/0.97 (define @t1046 () (=> tptp.wellorderingAx @t1045)) % 0.51/0.97 (define @t1047 () (=> tptp.foundationAx @t1046)) % 0.51/0.97 (define @t1048 () (=> tptp.replAx @t1047)) % 0.51/0.97 (define @t1049 () (=> tptp.omegaIndAx @t1048)) % 0.51/0.97 (define @t1050 () (=> tptp.omegaSAx @t1049)) % 0.51/0.97 (define @t1051 () (=> tptp.omega0Ax @t1050)) % 0.51/0.97 (define @t1052 () (=> tptp.setunionAx @t1051)) % 0.51/0.97 (define @t1053 () (=> tptp.powersetAx @t1052)) % 0.51/0.97 (define @t1054 () (=> tptp.setadjoinAx @t1053)) % 0.51/0.97 (define @t1055 () (=> tptp.emptysetAx @t1054)) % 0.51/0.97 (define @t1056 () (=> tptp.setextAx @t1055)) % 0.51/0.97 (define @t1057 () (lambda @t48 (_ @t137 @t689))) % 0.51/0.97 (define @t1058 () (lambda (@list @t1 @t43) @t652)) % 0.51/0.97 (define @t1059 () (forall @t671 @t668)) % 0.51/0.97 (define @t1060 () (forall @t246 (not @t326))) % 0.51/0.97 (define @t1061 () (not @t1060)) % 0.51/0.97 (define @t1062 () (=> @t754 @t332)) % 0.51/0.97 (define @t1063 () (forall @t238 @t1062)) % 0.51/0.97 (define @t1064 () (=> @t757 @t1063)) % 0.51/0.97 (define @t1065 () (forall @t310 @t1064)) % 0.51/0.97 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.51/0.97 (assume @p2 (= tptp.emptysetAx @t11)) % 0.51/0.97 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.51/0.97 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.51/0.97 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.51/0.97 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.51/0.97 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.51/0.97 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.51/0.97 (assume @p9 (= tptp.replAx (forall (@list @t35 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t36 @t38)))) (exists @t27 (forall @t8 (= @t6 (exists @t36 (and @t14 (_ (_ @t35 @t12) @t4)))))))))) % 0.51/0.97 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t39 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.51/0.97 (assume @p11 (= tptp.wellorderingAx (forall @t34 (exists @t27 (and (forall @t48 (=> @t50 @t47)) (forall @t52 (=> (and @t7 @t14) (=> (forall @t48 (=> @t50 (= @t45 @t44))) @t51))) (forall (@list @t43 @t41) (=> (and @t50 @t46) (or (forall @t8 (=> @t45 @t49)) (forall @t8 (=> @t49 @t45))))) (forall @t48 (=> (and @t47 (exists @t8 @t45)) (exists (@list @t41 @t4) (and @t46 @t45 (not (exists @t36 (and @t42 @t44))) (forall (@list @t40) (=> (_ (_ tptp.in @t40) @t1) (or (forall @t36 (=> (_ @t13 @t40) @t42)) (_ @t5 @t40))))))))))))) % 0.51/0.97 (assume @p12 (= tptp.descrp (forall @t58 (=> @t57 (_ @t53 @t56))))) % 0.51/0.97 (assume @p13 (= tptp.dsetconstrI (forall @t64 (=> @t7 (=> @t54 @t63))))) % 0.51/0.97 (assume @p14 (= tptp.dsetconstrEL (forall @t64 (=> @t63 @t7)))) % 0.51/0.97 (assume @p15 (= tptp.dsetconstrER (forall @t64 (=> @t63 @t54)))) % 0.51/0.97 (assume @p16 (= tptp.exuE1 (forall @t58 (=> @t57 @t66)))) % 0.51/0.97 (assume @p17 (= tptp.prop2setE (forall @t69 (=> (_ @t5 @t68) @t67)))) % 0.51/0.97 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t70 @t67))))) % 0.51/0.97 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.51/0.97 (assume @p20 (= tptp.notinemptyset @t11)) % 0.51/0.97 (assume @p21 (= tptp.exuE3e (forall @t58 (=> @t57 @t71)))) % 0.51/0.97 (assume @p22 (= tptp.setext (forall @t9 (=> @t73 (=> @t22 @t3))))) % 0.51/0.97 (assume @p23 (= tptp.emptyI @t76)) % 0.51/0.97 (assume @p24 (= tptp.noeltsimpempty @t76)) % 0.51/0.97 (assume @p25 (= tptp.setbeta (forall @t64 (=> @t7 (= @t63 @t54))))) % 0.51/0.97 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t77 @t39)))) % 0.51/0.97 (assume @p27 (= tptp.nonemptyI (forall @t64 (=> @t7 (=> @t54 (_ tptp.nonempty @t62)))))) % 0.51/0.97 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t39 @t77)))) % 0.51/0.97 (assume @p29 (= tptp.setadjoinIL (forall @t52 (_ @t5 (_ @t17 @t12))))) % 0.51/0.97 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.51/0.97 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.51/0.97 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t70 (=> (=> @t15 @t67) (=> (=> @t14 @t67) @t67))))))) % 0.51/0.97 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.51/0.97 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t61 (lambda @t8 true)) @t2)))) % 0.51/0.97 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.51/0.97 (assume @p36 (= tptp.emptyinPowerset @t78)) % 0.51/0.97 (assume @p37 (= tptp.emptyInPowerset @t78)) % 0.51/0.97 (assume @p38 (= tptp.powersetE (forall @t79 (=> @t25 @t21)))) % 0.51/0.97 (assume @p39 (= tptp.setunionI (forall @t80 (=> @t6 (=> @t26 @t29))))) % 0.51/0.97 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t70 (=> (forall @t27 (=> @t6 (=> @t26 @t67))) @t67)))))) % 0.51/0.97 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.51/0.97 (assume @p42 (= tptp.exuE2 (forall @t58 (=> @t57 @t81)))) % 0.51/0.97 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t77 (exists @t8 (and @t7 true)))))) % 0.51/0.97 (assume @p44 (= tptp.uniqinunit (forall @t52 (=> @t84 @t51)))) % 0.51/0.97 (assume @p45 (= tptp.notinsingleton (forall @t52 (=> (not @t51) (not @t86))))) % 0.51/0.97 (assume @p46 (= tptp.eqinunit (forall @t52 (=> @t51 @t84)))) % 0.51/0.97 (assume @p47 (= tptp.singletonsswitch (forall @t52 (=> @t84 @t86)))) % 0.51/0.97 (assume @p48 (= tptp.upairsetE @t93)) % 0.51/0.97 (assume @p49 (= tptp.upairsetIL (forall @t52 (_ @t5 @t90)))) % 0.51/0.97 (assume @p50 (= tptp.upairsetIR @t94)) % 0.51/0.97 (assume @p51 (= tptp.emptyE1 (forall @t97 (=> @t96 (=> (= @t95 tptp.emptyset) false))))) % 0.51/0.97 (assume @p52 (= tptp.vacuousDall (forall (@list @t53 @t4) (=> @t10 @t54)))) % 0.51/0.97 (assume @p53 (= tptp.quantDeMorgan1 @t101)) % 0.51/0.97 (assume @p54 (= tptp.quantDeMorgan2 (forall @t97 (=> @t103 @t102)))) % 0.51/0.97 (assume @p55 (= tptp.quantDeMorgan3 @t104)) % 0.51/0.97 (assume @p56 (= tptp.quantDeMorgan4 (forall @t97 (=> @t99 @t100)))) % 0.51/0.97 (assume @p57 (= tptp.prop2setI (forall @t70 (=> @t67 (_ @t31 @t68))))) % 0.51/0.97 (assume @p58 (= tptp.prop2set2propI (forall @t70 (=> @t67 (_ tptp.set2prop @t68))))) % 0.51/0.97 (assume @p59 (= tptp.notdexE @t104)) % 0.51/0.97 (assume @p60 (= tptp.notdallE @t101)) % 0.51/0.97 (assume @p61 (= tptp.exuI1 (forall @t58 (=> @t66 @t57)))) % 0.51/0.97 (assume @p62 (= tptp.exuI3 (forall @t58 (=> @t71 (=> @t106 @t57))))) % 0.51/0.97 (assume @p63 (= tptp.exuI2 (forall @t58 (=> @t81 @t57)))) % 0.51/0.97 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t52 (=> @t51 (=> @t7 @t107))))))) % 0.51/0.97 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t52 (=> @t51 (= @t7 @t107))))))) % 0.51/0.97 (assume @p66 (= tptp.exuE3u @t108)) % 0.51/0.97 (assume @p67 (= tptp.exu__Cong (forall @t114 (=> @t113 (= @t57 @t111))))) % 0.51/0.97 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.51/0.97 (assume @p69 (= tptp.setadjoin__Cong (forall @t52 (=> @t51 (forall @t117 (=> @t116 (= (_ @t17 @t87) (_ @t82 @t115)))))))) % 0.51/0.97 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t118))))) % 0.51/0.97 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.51/0.97 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.51/0.97 (assume @p73 (= tptp.exuEu @t108)) % 0.51/0.97 (assume @p74 (= tptp.descr__Cong (forall @t114 (=> @t113 (=> @t57 (=> @t111 (= @t56 (_ tptp.descr @t110)))))))) % 0.51/0.97 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t114 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t107 @t112)))) (= @t95 (_ @t119 @t110)))))))) % 0.51/0.97 (assume @p76 (= tptp.subsetI1 @t122)) % 0.51/0.97 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t124)))) % 0.51/0.97 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t121)))) % 0.51/0.97 (assume @p79 (= tptp.subsetI2 @t122)) % 0.51/0.97 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.51/0.97 (assume @p81 (= tptp.subsetE (forall @t79 (=> @t121 @t72)))) % 0.51/0.97 (assume @p82 (= tptp.subsetE2 (forall @t79 (=> @t121 @t126)))) % 0.51/0.97 (assume @p83 (= tptp.notsubsetI (forall @t79 (=> @t7 (=> @t125 @t127))))) % 0.51/0.97 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t127 @t128)))) % 0.51/0.97 (assume @p85 (= tptp.notequalI2 (forall @t79 (=> @t7 (=> @t125 @t128))))) % 0.51/0.97 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t120 @t2)))) % 0.51/0.97 (assume @p87 (= tptp.subsetTrans (forall @t129 (=> @t121 (=> (_ @t123 @t43) (_ @t120 @t43)))))) % 0.51/0.97 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t120 @t18)))) % 0.51/0.97 (assume @p89 (= tptp.setadjoinSub2 (forall @t80 (=> @t121 (_ @t120 (_ @t17 @t1)))))) % 0.51/0.97 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t121 (_ @t130 @t118))))) % 0.51/0.97 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t121 (=> @t124 @t3))))) % 0.51/0.97 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t120 tptp.emptyset) @t74)))) % 0.51/0.97 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t124 @t25)))) % 0.51/0.97 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t124)))) % 0.51/0.97 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t130 @t23)))) % 0.51/0.97 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t121 (_ (_ tptp.subset @t23) @t118))))) % 0.51/0.97 (assume @p97 (= tptp.sepInPowerset (forall @t97 (_ (_ tptp.in @t95) @t23)))) % 0.51/0.97 (assume @p98 (= tptp.sepSubset (forall @t97 (_ (_ tptp.subset @t95) @t2)))) % 0.51/0.97 (assume @p99 (= tptp.binunionIL (forall @t79 (=> @t7 @t132)))) % 0.51/0.97 (assume @p100 (= tptp.upairset2IR @t94)) % 0.51/0.97 (assume @p101 (= tptp.binunionIR (forall @t79 (=> @t6 @t132)))) % 0.51/0.97 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t67) (=> @t132 (=> (=> @t7 @t67) (=> @t133 @t67)))))) % 0.51/0.97 (assume @p103 (= tptp.binunionE (forall @t79 (=> @t132 (or @t7 @t6))))) % 0.51/0.97 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t120 @t131)))) % 0.51/0.97 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t123 @t131)))) % 0.51/0.97 (assume @p106 (= tptp.binintersectI (forall @t79 (=> @t7 (=> @t6 @t136))))) % 0.51/0.97 (assume @p107 (= tptp.binintersectSubset5 (forall @t129 (=> (_ @t137 @t2) (=> (_ @t137 @t1) (_ @t137 @t135)))))) % 0.51/0.97 (assume @p108 (= tptp.binintersectEL (forall @t79 (=> @t136 @t7)))) % 0.51/0.97 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t138 @t2)))) % 0.51/0.97 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t121 @t139)))) % 0.51/0.97 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t140 @t124)))) % 0.51/0.97 (assume @p112 (= tptp.binintersectER (forall @t79 (=> @t136 @t6)))) % 0.51/0.97 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t135 tptp.emptyset))))) % 0.51/0.97 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t138 @t1)))) % 0.51/0.97 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t124 @t140)))) % 0.51/0.97 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t139 @t121)))) % 0.51/0.97 (assume @p117 (= tptp.bs114d (forall @t129 (= (_ @t134 (_ (_ tptp.binunion @t1) @t43)) (_ (_ tptp.binunion @t135) (_ @t134 @t43)))))) % 0.51/0.97 (assume @p118 (= tptp.setminusI (forall @t79 (=> @t7 (=> @t125 @t143))))) % 0.51/0.97 (assume @p119 (= tptp.setminusEL (forall @t79 (=> @t143 @t7)))) % 0.51/0.97 (assume @p120 (= tptp.setminusER (forall @t79 (=> @t143 @t125)))) % 0.51/0.97 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t121 @t144)))) % 0.51/0.97 (assume @p122 (= tptp.setminusERneg (forall @t79 (=> @t145 @t72)))) % 0.51/0.97 (assume @p123 (= tptp.setminusELneg (forall @t79 (=> @t145 @t126)))) % 0.51/0.97 (assume @p124 (= tptp.setminusILneg (forall @t79 (=> @t75 @t145)))) % 0.51/0.97 (assume @p125 (= tptp.setminusIRneg (forall @t79 (=> @t6 @t145)))) % 0.51/0.97 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t142) @t2)))) % 0.51/0.97 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t144 @t121)))) % 0.51/0.97 (assume @p128 (= tptp.symdiffE (forall @t79 (=> @t146 (forall @t70 (=> (=> @t7 (=> @t125 @t67)) (=> (=> @t75 @t133) @t67))))))) % 0.51/0.97 (assume @p129 (= tptp.symdiffI1 (forall @t79 (=> @t7 (=> @t125 @t146))))) % 0.51/0.97 (assume @p130 (= tptp.symdiffI2 (forall @t79 (=> @t75 (=> @t6 @t146))))) % 0.51/0.97 (assume @p131 (= tptp.symdiffIneg1 (forall @t79 (=> @t7 (=> @t6 @t147))))) % 0.51/0.97 (assume @p132 (= tptp.symdiffIneg2 (forall @t79 (=> @t75 (=> @t125 @t147))))) % 0.51/0.97 (assume @p133 (= tptp.secondinupair @t94)) % 0.51/0.97 (assume @p134 (= tptp.setukpairIL (forall @t52 (_ @t5 @t150)))) % 0.51/0.97 (assume @p135 (= tptp.setukpairIR (forall @t52 (_ @t13 @t150)))) % 0.51/0.97 (assume @p136 (= tptp.kpairiskpair (forall @t52 (_ tptp.iskpair @t149)))) % 0.51/0.97 (assume @p137 (= tptp.kpairp (forall @t52 (_ tptp.iskpair @t152)))) % 0.51/0.97 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t85) @t2))))) % 0.51/0.97 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t153 @t23))))) % 0.51/0.97 (assume @p140 (= tptp.singletoninpowunion (forall @t79 (=> @t7 (_ @t153 @t154))))) % 0.51/0.97 (assume @p141 (= tptp.upairset2E @t93)) % 0.51/0.97 (assume @p142 (= tptp.upairsubunion (forall @t79 (=> @t7 (forall @t36 (=> @t107 (_ (_ tptp.subset @t90) @t131))))))) % 0.51/0.97 (assume @p143 (= tptp.upairinpowunion (forall @t79 (=> @t7 (forall @t36 (=> @t107 (_ (_ tptp.in @t90) @t154))))))) % 0.51/0.97 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t79 (=> @t7 (forall @t36 (=> @t107 (_ (_ tptp.subset @t149) @t154))))))) % 0.51/0.97 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t79 (=> @t7 (forall @t36 (=> @t107 (_ (_ tptp.in @t149) @t155))))))) % 0.51/0.97 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t79 (=> @t7 (forall @t36 (=> @t107 (_ @t156 @t155))))))) % 0.51/0.97 (assume @p147 (= tptp.cartprodpairin (forall @t79 (=> @t7 (forall @t36 (=> @t107 @t159)))))) % 0.51/0.97 (assume @p148 (= tptp.cartprodmempair1 (forall @t161 (=> @t160 (exists @t8 (and @t7 (exists @t36 (and @t107 (= @t115 @t152))))))))) % 0.51/0.97 (assume @p149 (= tptp.cartprodmempair (forall @t161 (=> @t160 @t162)))) % 0.51/0.97 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t166 (and (_ @t165 @t2) @t164)))))) % 0.51/0.97 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t167) @t2)))) % 0.51/0.97 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t120 @t167)))) % 0.51/0.97 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t85) @t4)))) % 0.51/0.97 (assume @p154 (= tptp.singletonprop (forall @t97 (=> @t168 (=> @t96 (_ tptp.singleton @t95)))))) % 0.51/0.97 (assume @p155 (= tptp.ex1E1 (forall @t97 (=> @t170 @t96)))) % 0.51/0.97 (assume @p156 (= tptp.ex1I (forall @t64 (=> @t7 (=> @t54 (=> (forall @t36 (=> @t14 (=> @t59 @t15))) (_ @t169 @t60))))))) % 0.51/0.97 (assume @p157 (= tptp.ex1I2 (forall @t97 (=> @t168 (=> @t96 @t170))))) % 0.51/0.97 (assume @p158 (= tptp.singletonsuniq (forall @t52 (=> (= @t85 @t83) @t51)))) % 0.51/0.97 (assume @p159 (= tptp.setukpairinjL1 (forall @t92 (=> (_ (_ tptp.in @t173) @t149) @t171)))) % 0.51/0.97 (assume @p160 (= tptp.kfstsingleton (forall @t175 (=> @t162 (_ tptp.singleton (_ @t174 (lambda @t8 (_ @t153 @t115)))))))) % 0.51/0.97 (assume @p161 (= tptp.theprop (forall @t166 (=> @t177 (_ (_ tptp.in @t176) @t163))))) % 0.51/0.97 (assume @p162 (= tptp.kfstpairEq (forall @t52 @t178))) % 0.51/0.97 (assume @p163 (= tptp.cartprodfstin (forall @t161 (=> @t160 (_ (_ tptp.in @t179) @t2))))) % 0.51/0.97 (assume @p164 (= tptp.setukpairinjL2 (forall @t181 (=> @t180 @t171)))) % 0.51/0.97 (assume @p165 (= tptp.setukpairinjL (forall @t181 (=> @t183 @t171)))) % 0.51/0.97 (assume @p166 (= tptp.setukpairinjR11 (forall @t52 (=> @t51 (= @t90 @t85))))) % 0.51/0.97 (assume @p167 (= tptp.setukpairinjR12 (forall @t52 (=> @t51 (= @t149 (_ @t148 tptp.emptyset)))))) % 0.51/0.97 (assume @p168 (= tptp.setukpairinjR1 (forall @t181 (=> @t180 (=> @t116 @t184))))) % 0.51/0.97 (assume @p169 (= tptp.upairequniteq (forall @t92 (=> (= @t90 @t173) @t51)))) % 0.51/0.97 (assume @p170 (= tptp.setukpairinjR2 (forall @t181 (=> @t180 @t184)))) % 0.51/0.97 (assume @p171 (= tptp.setukpairinjR (forall @t181 (=> @t183 @t184)))) % 0.51/0.97 (assume @p172 (= tptp.ksndsingleton (forall @t175 (=> @t162 (_ tptp.singleton (_ @t174 (lambda @t8 (= @t115 (_ @t185 @t4))))))))) % 0.51/0.97 (assume @p173 (= tptp.ksndpairEq (forall @t52 @t186))) % 0.51/0.97 (assume @p174 (= tptp.kpairsurjEq (forall @t175 (=> @t162 @t188)))) % 0.51/0.97 (assume @p175 (= tptp.cartprodsndin (forall @t161 (=> @t160 (_ (_ tptp.in @t187) @t1))))) % 0.51/0.97 (assume @p176 (= tptp.cartprodpairmemEL (forall @t189 (=> @t159 @t7)))) % 0.51/0.97 (assume @p177 (= tptp.cartprodpairmemER (forall @t189 (=> @t159 @t107)))) % 0.51/0.97 (assume @p178 (= tptp.cartprodmempaircEq (forall @t79 (=> @t7 (forall @t36 (=> @t107 (= @t152 @t152))))))) % 0.51/0.97 (assume @p179 (= tptp.cartprodfstpairEq (forall @t79 (=> @t7 (forall @t36 (=> @t107 @t178)))))) % 0.51/0.97 (assume @p180 (= tptp.cartprodsndpairEq (forall @t79 (=> @t7 (forall @t36 (=> @t107 @t186)))))) % 0.51/0.97 (assume @p181 (= tptp.cartprodpairsurjEq (forall @t161 (=> @t160 @t188)))) % 0.51/0.97 (assume @p182 (= tptp.dpsetconstrI (forall @t193 (=> @t7 (forall @t36 (=> @t107 (=> @t38 @t192))))))) % 0.51/0.97 (assume @p183 (= tptp.dpsetconstrSub (forall @t196 (_ (_ tptp.subset @t195) @t158)))) % 0.51/0.97 (assume @p184 (= tptp.setOfPairsIsBReln (forall @t196 (_ @t198 @t195)))) % 0.51/0.97 (assume @p185 (= tptp.dpsetconstrERa (forall @t193 (=> @t7 (forall @t36 (=> @t107 @t199)))))) % 0.51/0.97 (assume @p186 (= tptp.dpsetconstrEL1 (forall @t200 (=> @t192 @t7)))) % 0.51/0.97 (assume @p187 (= tptp.dpsetconstrEL2 (forall @t200 (=> @t192 @t107)))) % 0.51/0.97 (assume @p188 (= tptp.dpsetconstrER (forall @t200 @t199))) % 0.51/0.97 (assume @p189 (= tptp.funcImageSingleton (forall @t206 (=> @t205 (forall @t8 (=> @t7 (_ tptp.singleton @t203))))))) % 0.51/0.97 (assume @p190 (= tptp.apProp (forall @t206 (=> @t205 (forall @t8 (=> @t7 (_ (_ tptp.in (_ tptp.setunion @t203)) @t1))))))) % 0.51/0.97 (assume @p191 (= tptp.app (forall @t206 (=> @t205 @t209)))) % 0.51/0.97 (assume @p192 (= tptp.infuncsetfunc (forall @t206 (=> @t211 @t205)))) % 0.51/0.97 (assume @p193 (= tptp.ap2p (forall @t206 (=> @t211 @t209)))) % 0.51/0.97 (assume @p194 (= tptp.funcinfuncset (forall @t206 (=> @t205 @t211)))) % 0.51/0.97 (assume @p195 (= tptp.lamProp (forall @t215 (=> @t214 (_ @t204 (_ @t191 (lambda @t52 (= @t213 @t12)))))))) % 0.51/0.97 (assume @p196 (= tptp.lamp (forall @t215 (=> @t214 (_ @t204 @t217))))) % 0.51/0.97 (assume @p197 (= tptp.lam2p (forall @t215 (=> @t214 (_ (_ tptp.in @t217) @t210))))) % 0.51/0.97 (assume @p198 (= tptp.brelnall1 @t224)) % 0.51/0.97 (assume @p199 (= tptp.brelnall2 @t224)) % 0.51/0.97 (assume @p200 (= tptp.ex1E2 (forall @t97 (=> @t170 @t168)))) % 0.51/0.97 (assume @p201 (= tptp.funcGraphProp1 (forall @t206 (=> @t205 @t225)))) % 0.51/0.97 (assume @p202 (= tptp.funcGraphProp3 (forall @t206 (=> @t211 @t225)))) % 0.51/0.97 (assume @p203 (= tptp.funcGraphProp2 (forall @t206 (=> @t205 @t226)))) % 0.51/0.97 (assume @p204 (= tptp.funcextLem (forall @t206 (=> @t205 (forall @t230 (=> @t229 (=> @t228 (forall @t8 (=> @t7 (forall @t36 (=> @t107 (=> (_ @t156 @t227) @t202)))))))))))) % 0.51/0.97 (assume @p205 (= tptp.funcGraphProp4 (forall @t206 (=> @t211 @t226)))) % 0.51/0.97 (assume @p206 (= tptp.subbreln (forall @t223 (=> @t222 (forall @t238 (=> @t237 (=> @t236 @t233))))))) % 0.51/0.97 (assume @p207 (= tptp.eqbreln (forall @t223 (=> @t222 (forall @t238 (=> @t237 (=> @t236 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t107 @t240)))) @t239)))))))) % 0.51/0.97 (assume @p208 (= tptp.funcext (forall @t206 (=> @t205 (forall @t230 (=> @t229 @t241)))))) % 0.51/0.97 (assume @p209 (= tptp.funcext2 (forall @t206 (=> @t211 (forall @t230 (=> (_ (_ tptp.in @t227) @t210) @t241)))))) % 0.51/0.97 (assume @p210 (= tptp.ap2apEq1 (forall @t206 (=> @t211 @t242)))) % 0.51/0.97 (assume @p211 (= tptp.ap2apEq2 (forall @t206 (=> @t205 @t242)))) % 0.51/0.97 (assume @p212 (= tptp.beta1 @t243)) % 0.51/0.97 (assume @p213 (= tptp.eta1 (forall @t206 (=> @t205 @t244)))) % 0.51/0.97 (assume @p214 (= tptp.lam2lamEq (forall @t215 (=> @t214 (= @t217 @t217))))) % 0.51/0.97 (assume @p215 (= tptp.beta2 @t243)) % 0.51/0.97 (assume @p216 (= tptp.eta2 (forall @t206 (=> @t211 @t244)))) % 0.51/0.97 (assume @p217 (= tptp.iffalseProp1 (forall @t248 (=> @t7 (forall @t36 (=> @t14 (=> @t245 (_ @t13 @t247)))))))) % 0.51/0.97 (assume @p218 (= tptp.iffalseProp2 (forall @t248 (=> @t7 (forall @t36 (=> @t14 (=> @t245 (= @t247 @t83)))))))) % 0.51/0.97 (assume @p219 (= tptp.iftrueProp1 (forall @t248 (=> @t7 (forall @t36 (=> @t14 (=> @t67 (_ @t5 @t247)))))))) % 0.51/0.97 (assume @p220 (= tptp.iftrueProp2 (forall @t248 (=> @t7 (forall @t36 (=> @t14 (=> @t67 (= @t247 @t85)))))))) % 0.51/0.97 (assume @p221 (= tptp.ifSingleton (forall @t248 (=> @t7 (forall @t36 (=> @t14 (_ tptp.singleton @t247))))))) % 0.51/0.97 (assume @p222 (= tptp.ifp (forall @t248 (=> @t7 (forall @t36 (=> @t14 (_ @t250 @t2))))))) % 0.51/0.97 (assume @p223 (= tptp.theeq (forall @t166 (=> @t177 (forall @t8 (=> @t164 (= @t176 @t4))))))) % 0.51/0.97 (assume @p224 (= tptp.iftrue (forall @t248 (=> @t7 (forall @t36 (=> @t14 (=> @t67 (= @t249 @t4)))))))) % 0.51/0.97 (assume @p225 (= tptp.iffalse (forall @t248 (=> @t7 (forall @t36 (=> @t14 (=> @t245 (= @t249 @t12)))))))) % 0.51/0.97 (assume @p226 (= tptp.iftrueorfalse (forall @t248 (=> @t7 (forall @t36 (=> @t14 (_ @t250 @t90))))))) % 0.51/0.97 (assume @p227 (= tptp.binintersectT_lem (forall @t257 (=> @t256 (forall @t255 (=> @t254 (_ @t253 @t23))))))) % 0.51/0.97 (assume @p228 (= tptp.binunionT_lem (forall @t257 (=> @t256 (forall @t255 (=> @t254 (_ (_ tptp.in @t259) @t23))))))) % 0.51/0.97 (assume @p229 (= tptp.powersetT_lem (forall @t257 (=> @t256 (_ (_ tptp.in (_ tptp.powerset @t163)) (_ tptp.powerset @t23)))))) % 0.51/0.97 (assume @p230 (= tptp.setminusT_lem (forall @t257 (=> @t256 (forall @t255 (=> @t254 (_ (_ tptp.in (_ (_ tptp.setminus @t163) @t251)) @t23))))))) % 0.51/0.97 (assume @p231 (= tptp.complementT_lem (forall @t257 (=> @t256 (_ @t261 @t23))))) % 0.51/0.97 (assume @p232 (= tptp.setextT (forall @t257 (=> @t256 (forall @t255 (=> @t254 (=> @t264 (=> (forall @t8 (=> @t7 (=> @t262 @t164))) (= @t163 @t251))))))))) % 0.51/0.97 (assume @p233 (= tptp.subsetTI (forall @t257 (=> @t256 (forall @t255 (=> @t254 (=> @t264 @t266))))))) % 0.51/0.97 (assume @p234 (= tptp.powersetTI1 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (=> @t264 @t267))))))) % 0.51/0.97 (assume @p235 (= tptp.powersetTE1 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t267 @t263))))))))) % 0.51/0.97 (assume @p236 (= tptp.complementTI1 (forall @t257 (=> @t256 (forall @t8 (=> @t7 (=> @t164 @t269))))))) % 0.51/0.97 (assume @p237 (= tptp.complementTE1 (forall @t257 (=> @t256 (forall @t8 (=> @t7 (=> @t269 @t164))))))) % 0.51/0.97 (assume @p238 (= tptp.binintersectTELcontra (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t272 @t271))))))))) % 0.51/0.97 (assume @p239 (= tptp.binintersectTERcontra (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t273 @t271))))))))) % 0.51/0.97 (assume @p240 (= tptp.contrasubsetT (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t275 (=> @t262 @t272)))))))))) % 0.51/0.97 (assume @p241 (= tptp.contrasubsetT1 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t266 (=> @t273 @t272)))))))))) % 0.51/0.97 (assume @p242 (= tptp.contrasubsetT2 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (=> @t266 @t276))))))) % 0.51/0.97 (assume @p243 (= tptp.contrasubsetT3 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (=> @t276 @t266))))))) % 0.51/0.97 (assume @p244 (= tptp.doubleComplementI1 (forall @t257 (=> @t256 (forall @t8 (=> @t7 (=> @t164 @t278))))))) % 0.51/0.97 (assume @p245 (= tptp.doubleComplementE1 (forall @t257 (=> @t256 (forall @t8 (=> @t7 (=> @t278 @t164))))))) % 0.51/0.97 (assume @p246 (= tptp.doubleComplementSub1 (forall @t257 (=> @t256 (_ @t265 @t277))))) % 0.51/0.97 (assume @p247 (= tptp.doubleComplementSub2 (forall @t257 (=> @t256 (_ (_ tptp.subset @t277) @t163))))) % 0.51/0.97 (assume @p248 (= tptp.doubleComplementEq (forall @t257 (=> @t256 (= @t163 @t277))))) % 0.51/0.97 (assume @p249 (= tptp.complementTnotintersectT (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t268 @t271))))))))) % 0.51/0.97 (assume @p250 (= tptp.complementImpComplementIntersect (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t268 @t280))))))))) % 0.51/0.97 (assume @p251 (= tptp.complementSubsetComplementIntersect (forall @t257 (=> @t256 (forall @t255 (=> @t254 (_ (_ tptp.subset @t260) @t279))))))) % 0.51/0.97 (assume @p252 (= tptp.complementInPowersetComplementIntersect @t281)) % 0.51/0.97 (assume @p253 (= tptp.contraSubsetComplement (forall @t257 (=> @t256 (forall @t255 (=> @t254 (=> @t275 (forall @t8 (=> @t7 (=> @t262 @t268)))))))))) % 0.51/0.97 (assume @p254 (= tptp.complementTcontraSubset @t283)) % 0.51/0.97 (assume @p255 (= tptp.binunionTILcontra (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t285 @t272))))))))) % 0.51/0.97 (assume @p256 (= tptp.binunionTIRcontra (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t285 @t273))))))))) % 0.51/0.97 (assume @p257 (= tptp.inIntersectImpInUnion (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (forall @t8 (=> @t7 (=> @t270 (_ @t5 @t287)))))))))))) % 0.51/0.97 (assume @p258 (= tptp.inIntersectImpInUnion2 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (forall @t8 (=> @t7 (=> @t270 (_ @t5 @t290)))))))))))) % 0.51/0.97 (assume @p259 (= tptp.inIntersectImpInIntersectUnions (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (forall @t8 (=> @t7 (=> @t270 (_ @t5 @t291)))))))))))) % 0.51/0.97 (assume @p260 (= tptp.intersectInPowersetIntersectUnions @t292)) % 0.51/0.97 (assume @p261 (= tptp.inComplementUnionImpNotIn1 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t294 @t272))))))))) % 0.51/0.97 (assume @p262 (= tptp.inComplementUnionImpInComplement1 @t295)) % 0.51/0.97 (assume @p263 (= tptp.binunionTE (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t69 (=> @t7 (=> @t284 (=> (=> @t164 @t67) (=> (=> @t262 @t67) @t67))))))))))) % 0.51/0.97 (assume @p264 (= tptp.binunionTEcontra (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t272 (=> @t273 @t285)))))))))) % 0.51/0.97 (assume @p265 (= tptp.demorgan2a1 @t295)) % 0.51/0.97 (assume @p266 (= tptp.complementUnionInPowersetComplement @t296)) % 0.51/0.97 (assume @p267 (= tptp.demorgan2a2 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t294 @t297))))))))) % 0.51/0.97 (assume @p268 (= tptp.demorgan1a (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t280 @t299))))))))) % 0.51/0.97 (assume @p269 (= tptp.demorgan1b (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t299 @t280))))))))) % 0.51/0.97 (assume @p270 (= tptp.demorgan1 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (= @t279 @t298))))))) % 0.51/0.97 (assume @p271 (= tptp.demorgan2a (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t294 @t301))))))))) % 0.51/0.97 (assume @p272 (= tptp.demorgan2b2 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t268 (=> @t297 @t294)))))))))) % 0.51/0.97 (assume @p273 (= tptp.demorgan2b (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t7 (=> @t301 @t294))))))))) % 0.51/0.97 (assume @p274 (= tptp.demorgan2 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (= @t293 @t300))))))) % 0.51/0.97 (assume @p275 (= tptp.woz13rule0 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t8 (=> @t270 @t7)))))))) % 0.51/0.97 (assume @p276 (= tptp.woz13rule1 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (=> @t304 @t303))))))))) % 0.51/0.97 (assume @p277 (= tptp.woz13rule2 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (=> (_ @t282 @t286) @t303))))))))) % 0.51/0.97 (assume @p278 (= tptp.woz13rule3 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (=> @t266 (=> @t304 (_ @t265 (_ (_ tptp.binintersect @t251) @t286)))))))))))) % 0.51/0.97 (assume @p279 (= tptp.woz13rule4 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (forall @t307 (=> @t306 (=> @t304 (=> (_ @t282 @t305) (_ @t302 (_ (_ tptp.binintersect @t286) @t305)))))))))))))) % 0.51/0.97 (assume @p280 (= tptp.woz1_1 @t281)) % 0.51/0.97 (assume @p281 (= tptp.woz1_2 (forall @t257 (=> @t256 (forall @t255 (=> @t254 (forall @t289 (=> @t288 (forall @t307 (=> @t306 (= (_ @t141 (_ (_ tptp.binintersect @t259) (_ (_ tptp.binunion @t286) @t305))) (_ (_ tptp.binunion @t300) (_ (_ tptp.binintersect (_ @t141 @t286)) (_ @t141 @t305)))))))))))))) % 0.51/0.97 (assume @p282 (= tptp.woz1_3 @t292)) % 0.51/0.97 (assume @p283 (= tptp.woz1_4 @t283)) % 0.51/0.97 (assume @p284 (= tptp.woz1_5 @t296)) % 0.51/0.97 (assume @p285 (= tptp.breln1all2 @t311)) % 0.51/0.97 (assume @p286 (= tptp.breln1SetBreln1 (forall @t310 (=> (_ @t312 (_ tptp.breln1Set @t2)) @t309)))) % 0.51/0.97 (assume @p287 (= tptp.choice2fnsingleton (forall @t196 (=> (forall @t8 (=> @t7 (exists @t36 (and @t107 @t38)))) (forall @t314 (=> (_ @t312 (_ tptp.breln1Set @t1)) (=> (_ (_ tptp.reflwellordering @t1) @t218) (forall @t8 (=> @t7 (_ tptp.singleton (_ @t119 (lambda @t36 (and @t38 (forall @t246 (=> (_ @t91 @t1) (=> (_ @t37 @t87) (_ (_ tptp.in (_ @t313 @t87)) @t218))))))))))))))))) % 0.51/0.97 (assume @p288 (= tptp.setOfPairsIsBReln1 (forall (@list @t2 @t35) (_ @t308 (_ (_ @t190 @t2) @t194))))) % 0.51/0.97 (assume @p289 (= tptp.breln1all1 @t311)) % 0.51/0.97 (assume @p290 (= tptp.subbreln1 (forall @t310 (=> @t309 (forall @t238 (=> @t316 (=> @t315 @t233))))))) % 0.51/0.97 (assume @p291 (= tptp.eqbreln1 (forall @t310 (=> @t309 (forall @t238 (=> @t316 (=> @t315 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t240)))) @t239)))))))) % 0.51/0.97 (assume @p292 (= tptp.breln1invprop (forall @t310 (=> @t309 (_ @t308 @t317))))) % 0.51/0.97 (assume @p293 (= tptp.breln1invI (forall @t310 (=> @t309 (forall @t8 (=> @t7 (forall @t36 (=> @t14 (=> @t220 @t318))))))))) % 0.51/0.97 (assume @p294 (= tptp.breln1invE (forall @t310 (=> @t309 (forall @t8 (=> @t7 (forall @t36 (=> @t14 (=> @t318 @t220))))))))) % 0.51/0.97 (assume @p295 (= tptp.breln1compprop (forall @t310 (=> @t309 (forall @t238 (=> @t316 (_ @t308 @t319))))))) % 0.51/0.97 (assume @p296 (= tptp.breln1compI (forall @t310 (=> @t309 (forall @t238 (=> @t316 (forall @t8 (=> @t7 (forall @t36 (=> @t14 (forall @t246 (=> @t325 (=> @t324 (=> @t322 @t320)))))))))))))) % 0.51/0.97 (assume @p297 @t337) % 0.51/0.97 (assume @p298 @t649) % 0.51/0.97 (assume @p299 true) % 0.51/0.97 (step @p300 (= tptp.exu @t650) :rule refl :args (@t650)) % 0.51/0.97 (step @p301 (= tptp.nonempty @t651) :rule refl :args (@t651)) % 0.51/0.97 (step @p302 (= tptp.breln @t653) :rule refl :args (@t653)) % 0.51/0.97 (step @p303 (= tptp.breln1 @t654) :rule refl :args (@t654)) % 0.51/0.97 (step @p304 :rule aci_norm :args ((= @t670 @t668))) % 0.51/0.97 (step @p305 :rule cong :premises (@p304) :args (@t672)) % 0.51/0.97 (step @p306 :rule quant-merge-prenex :args ((= (forall @t310 @t674) @t672))) % 0.51/0.97 (step @p307 :rule alpha_equiv :args (@t675 (@list @t655 @t657 @t656) (@list @t231 @t677 @t676))) % 0.51/0.97 (step @p308 :rule refl :args (@t667)) % 0.51/0.97 (step @p309 :rule nary_cong :premises (@p308 @p307) :args (@t678)) % 0.51/0.97 (step @p310 :rule quant-miniscope-or :args ((= @t674 @t678))) % 0.51/0.97 (step @p311 :rule trans :premises (@p310 @p309)) % 0.51/0.97 (step @p312 :rule symm :premises (@p311)) % 0.51/0.97 (step @p313 :rule cong :premises (@p312) :args ((forall @t310 (or @t667 @t688)))) % 0.51/0.97 (step @p314 :rule trans :premises (@p313 @p306)) % 0.51/0.97 (step @p315 :rule trans :premises (@p314 @p305)) % 0.51/0.97 (step @p316 :rule refl :args (@t688)) % 0.51/0.97 (step @p317 :rule refl :args ((tptp.subset @t218 @t689))) % 0.51/0.97 (step @p318 :rule refl :args (@t664)) % 0.51/0.97 (step @p319 :rule refl :args (@t218)) % 0.51/0.97 (step @p320 :rule cong :premises (@p319 @p318) :args (@t666)) % 0.51/0.97 (step @p321 :rule trans :premises (@p320 @p317)) % 0.51/0.97 (step @p322 :rule refl :args (@t232)) % 0.51/0.97 (step @p323 :rule ho_cong :premises (@p322 @p318)) % 0.51/0.97 (step @p324 :rule cong :premises (@p323 @p321) :args ((= (_ @t232 @t664) @t666))) % 0.51/0.97 (step @p325 :rule symm :premises (@p324)) % 0.51/0.97 (step @p326 :rule refl :args (@t690)) % 0.51/0.97 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 0.51/0.97 (step @p328 :rule refl :args (@t689)) % 0.51/0.97 (step @p329 :rule cong :premises (@p328 @p318) :args ((= @t689 @t664))) % 0.51/0.97 (step @p330 :rule symm :premises (@p329)) % 0.51/0.97 (step @p331 :rule eq_resolve :premises (@p328 @p330)) % 0.51/0.97 (step @p332 :rule ho_cong :premises (@p322 @p331)) % 0.51/0.97 (step @p333 :rule trans :premises (@p332 @p327)) % 0.51/0.97 (step @p334 :rule cong :premises (@p333) :args (@t691)) % 0.51/0.97 (step @p335 :rule nary_cong :premises (@p334 @p316) :args (@t692)) % 0.51/0.97 (step @p336 :rule cong :premises (@p335) :args ((forall @t310 @t692))) % 0.51/0.97 (step @p337 :rule trans :premises (@p336 @p315)) % 0.51/0.97 (step @p338 :rule bool-impl-elim :args (@t690 @t688)) % 0.51/0.97 (step @p339 :rule cong :premises (@p338) :args ((forall @t310 (=> @t690 @t688)))) % 0.51/0.97 (step @p340 :rule trans :premises (@p339 @p337)) % 0.51/0.97 (step @p341 :rule aci_norm :args ((= @t694 @t686))) % 0.51/0.97 (step @p342 :rule cong :premises (@p341) :args (@t695)) % 0.51/0.97 (step @p343 :rule quant-merge-prenex :args ((= (forall @t238 @t697) @t695))) % 0.51/0.97 (step @p344 :rule alpha_equiv :args (@t698 (@list @t677 @t676) (@list @t4 @t699))) % 0.51/0.97 (step @p345 :rule refl :args (@t685)) % 0.51/0.97 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t700)) % 0.51/0.97 (step @p347 :rule quant-miniscope-or :args ((= @t697 @t700))) % 0.51/0.97 (step @p348 :rule trans :premises (@p347 @p346)) % 0.51/0.97 (step @p349 :rule symm :premises (@p348)) % 0.51/0.97 (step @p350 :rule cong :premises (@p349) :args ((forall @t238 (or @t685 @t711)))) % 0.51/0.97 (step @p351 :rule trans :premises (@p350 @p343)) % 0.51/0.97 (step @p352 :rule trans :premises (@p351 @p342)) % 0.51/0.97 (step @p353 :rule refl :args (@t711)) % 0.51/0.97 (step @p354 :rule refl :args ((tptp.subset @t231 @t689))) % 0.51/0.97 (step @p355 :rule refl :args (@t231)) % 0.51/0.97 (step @p356 :rule cong :premises (@p355 @p318) :args (@t684)) % 0.51/0.97 (step @p357 :rule trans :premises (@p356 @p354)) % 0.51/0.97 (step @p358 :rule refl :args (@t712)) % 0.51/0.97 (step @p359 :rule ho_cong :premises (@p358 @p318)) % 0.51/0.97 (step @p360 :rule cong :premises (@p359 @p357) :args ((= (_ @t712 @t664) @t684))) % 0.51/0.97 (step @p361 :rule symm :premises (@p360)) % 0.51/0.97 (step @p362 :rule refl :args (@t713)) % 0.51/0.97 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 0.51/0.97 (step @p364 :rule ho_cong :premises (@p358 @p331)) % 0.51/0.97 (step @p365 :rule trans :premises (@p364 @p363)) % 0.51/0.97 (step @p366 :rule cong :premises (@p365) :args (@t714)) % 0.51/0.97 (step @p367 :rule nary_cong :premises (@p366 @p353) :args (@t715)) % 0.51/0.97 (step @p368 :rule cong :premises (@p367) :args ((forall @t238 @t715))) % 0.51/0.97 (step @p369 :rule trans :premises (@p368 @p352)) % 0.51/0.97 (step @p370 :rule bool-impl-elim :args (@t713 @t711)) % 0.51/0.97 (step @p371 :rule cong :premises (@p370) :args ((forall @t238 (=> @t713 @t711)))) % 0.51/0.97 (step @p372 :rule trans :premises (@p371 @p369)) % 0.51/0.97 (step @p373 :rule aci_norm :args ((= @t717 @t709))) % 0.51/0.97 (step @p374 :rule cong :premises (@p373) :args (@t718)) % 0.51/0.97 (step @p375 :rule quant-merge-prenex :args ((= (forall @t8 @t720) @t718))) % 0.51/0.97 (step @p376 :rule alpha_equiv :args (@t721 (@list @t699) (@list @t12))) % 0.51/0.97 (step @p377 :rule refl :args (@t708)) % 0.51/0.97 (step @p378 :rule nary_cong :premises (@p377 @p376) :args (@t722)) % 0.51/0.97 (step @p379 :rule quant-miniscope-or :args ((= @t720 @t722))) % 0.51/0.97 (step @p380 :rule trans :premises (@p379 @p378)) % 0.51/0.97 (step @p381 :rule symm :premises (@p380)) % 0.51/0.97 (step @p382 :rule cong :premises (@p381) :args ((forall @t8 (or @t708 @t730)))) % 0.51/0.97 (step @p383 :rule trans :premises (@p382 @p375)) % 0.51/0.97 (step @p384 :rule trans :premises (@p383 @p374)) % 0.51/0.97 (step @p385 :rule refl :args (@t730)) % 0.51/0.97 (step @p386 :rule refl :args (@t707)) % 0.51/0.97 (step @p387 :rule refl :args (@t7)) % 0.51/0.97 (step @p388 :rule cong :premises (@p387 @p386) :args ((= @t7 @t707))) % 0.51/0.97 (step @p389 :rule symm :premises (@p388)) % 0.51/0.97 (step @p390 :rule eq_resolve :premises (@p387 @p389)) % 0.51/0.97 (step @p391 :rule cong :premises (@p390) :args (@t75)) % 0.51/0.97 (step @p392 :rule nary_cong :premises (@p391 @p385) :args (@t731)) % 0.51/0.97 (step @p393 :rule cong :premises (@p392) :args ((forall @t8 @t731))) % 0.51/0.97 (step @p394 :rule trans :premises (@p393 @p384)) % 0.51/0.97 (step @p395 :rule bool-impl-elim :args (@t7 @t730)) % 0.51/0.97 (step @p396 :rule cong :premises (@p395) :args ((forall @t8 (=> @t7 @t730)))) % 0.51/0.97 (step @p397 :rule trans :premises (@p396 @p394)) % 0.51/0.97 (step @p398 :rule refl :args (@t726)) % 0.51/0.97 (step @p399 :rule refl :args ((tptp.in @t152 @t319))) % 0.51/0.97 (step @p400 :rule refl :args (@t680)) % 0.51/0.97 (step @p401 :rule refl :args (@t727)) % 0.51/0.97 (step @p402 :rule cong :premises (@p401 @p400) :args (@t728)) % 0.51/0.97 (step @p403 :rule trans :premises (@p402 @p399)) % 0.51/0.97 (step @p404 :rule refl :args (tptp.in)) % 0.51/0.97 (step @p405 :rule ho_cong :premises (@p404 @p401)) % 0.51/0.97 (step @p406 :rule ho_cong :premises (@p405 @p400)) % 0.51/0.97 (step @p407 :rule cong :premises (@p406 @p403) :args ((= (_ (_ tptp.in @t727) @t680) @t728))) % 0.51/0.97 (step @p408 :rule symm :premises (@p407)) % 0.51/0.97 (step @p409 :rule refl :args (@t320)) % 0.51/0.97 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 0.51/0.97 (step @p411 :rule refl :args (@t319)) % 0.51/0.97 (step @p412 :rule cong :premises (@p411 @p400) :args ((= @t319 @t680))) % 0.51/0.97 (step @p413 :rule symm :premises (@p412)) % 0.51/0.97 (step @p414 :rule eq_resolve :premises (@p411 @p413)) % 0.51/0.97 (step @p415 :rule refl :args (@t152)) % 0.51/0.97 (step @p416 :rule cong :premises (@p415 @p401) :args ((= @t152 @t727))) % 0.51/0.97 (step @p417 :rule symm :premises (@p416)) % 0.51/0.97 (step @p418 :rule eq_resolve :premises (@p415 @p417)) % 0.51/0.97 (step @p419 :rule ho_cong :premises (@p404 @p418)) % 0.51/0.97 (step @p420 :rule ho_cong :premises (@p419 @p414)) % 0.51/0.97 (step @p421 :rule trans :premises (@p420 @p410)) % 0.51/0.97 (step @p422 :rule cong :premises (@p421) :args (@t732)) % 0.51/0.97 (step @p423 :rule refl :args (@t729)) % 0.51/0.97 (step @p424 :rule refl :args (@t14)) % 0.51/0.97 (step @p425 :rule cong :premises (@p424 @p423) :args ((= @t14 @t729))) % 0.51/0.97 (step @p426 :rule symm :premises (@p425)) % 0.51/0.97 (step @p427 :rule eq_resolve :premises (@p424 @p426)) % 0.51/0.97 (step @p428 :rule cong :premises (@p427) :args (@t733)) % 0.51/0.97 (step @p429 :rule nary_cong :premises (@p428 @p422 @p398) :args (@t734)) % 0.51/0.97 (step @p430 :rule cong :premises (@p429) :args ((forall @t36 @t734))) % 0.51/0.97 (step @p431 :rule aci_norm :args ((= (or @t733 (or @t732 @t726)) @t734))) % 0.51/0.97 (step @p432 :rule bool-impl-elim :args (@t320 @t726)) % 0.51/0.97 (step @p433 :rule refl :args (@t733)) % 0.51/0.97 (step @p434 :rule nary_cong :premises (@p433 @p432) :args ((or @t733 @t735))) % 0.51/0.97 (step @p435 :rule trans :premises (@p434 @p431)) % 0.51/0.97 (step @p436 :rule bool-impl-elim :args (@t14 @t735)) % 0.51/0.97 (step @p437 :rule trans :premises (@p436 @p435)) % 0.51/0.97 (step @p438 :rule cong :premises (@p437) :args ((forall @t36 (=> @t14 @t735)))) % 0.51/0.97 (step @p439 :rule trans :premises (@p438 @p430)) % 0.51/0.97 (step @p440 :rule aci_norm :args ((= (and true @t726) @t726))) % 0.51/0.97 (step @p441 :rule refl :args (@t726)) % 0.51/0.97 (step @p442 :rule evaluate :args (@t736)) % 0.51/0.97 (step @p443 :rule nary_cong :premises (@p442 @p441) :args (@t737)) % 0.51/0.97 (step @p444 :rule trans :premises (@p443 @p440)) % 0.51/0.97 (step @p445 :rule aci_norm :args ((= @t738 @t737))) % 0.51/0.97 (step @p446 :rule trans :premises (@p445 @p444)) % 0.51/0.97 (step @p447 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not (= @t67 false)) @t739 @t67)) @t738))) % 0.51/0.97 (step @p448 :rule refl :args (@t67)) % 0.51/0.97 (step @p449 :rule refl :args (@t739)) % 0.51/0.97 (step @p450 :rule bool-eq-false :args (@t67)) % 0.51/0.97 (step @p451 :rule symm :premises (@p450)) % 0.51/0.97 (step @p452 :rule cong :premises (@p451) :args ((not @t245))) % 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@p963) :args (@t961)) % 0.51/0.97 (step @p966 :rule refl :args (tptp.inPowerset)) % 0.51/0.97 (step @p967 :rule cong :premises (@p966 @p965) :args (@t962)) % 0.51/0.97 (step @p968 :rule refl :args (tptp.powersetE1)) % 0.51/0.97 (step @p969 :rule cong :premises (@p968 @p967) :args (@t963)) % 0.51/0.97 (step @p970 :rule refl :args (tptp.powersetI1)) % 0.51/0.97 (step @p971 :rule cong :premises (@p970 @p969) :args (@t964)) % 0.51/0.97 (step @p972 :rule refl :args (tptp.subsetemptysetimpeq)) % 0.51/0.97 (step @p973 :rule cong :premises (@p972 @p971) :args (@t965)) % 0.51/0.97 (step @p974 :rule refl :args (tptp.setextsub)) % 0.51/0.97 (step @p975 :rule cong :premises (@p974 @p973) :args (@t966)) % 0.51/0.97 (step @p976 :rule refl :args (tptp.subset2powerset)) % 0.51/0.97 (step @p977 :rule cong :premises (@p976 @p975) :args (@t967)) % 0.51/0.97 (step @p978 :rule refl :args (tptp.setadjoinSub2)) % 0.51/0.97 (step @p979 :rule cong :premises (@p978 @p977) :args (@t968)) % 0.51/0.97 (step @p980 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% 0.51/0.97 (step @p1024 :rule refl :args (tptp.exuE3u)) % 0.51/0.97 (step @p1025 :rule cong :premises (@p1024 @p1023) :args (@t991)) % 0.51/0.97 (step @p1026 :rule refl :args (tptp.in__Cong)) % 0.51/0.97 (step @p1027 :rule cong :premises (@p1026 @p1025) :args (@t992)) % 0.51/0.97 (step @p1028 :rule refl :args (tptp.inCongP)) % 0.51/0.97 (step @p1029 :rule cong :premises (@p1028 @p1027) :args (@t993)) % 0.51/0.97 (step @p1030 :rule refl :args (tptp.exuI2)) % 0.51/0.97 (step @p1031 :rule cong :premises (@p1030 @p1029) :args (@t994)) % 0.51/0.97 (step @p1032 :rule refl :args (tptp.exuI3)) % 0.51/0.97 (step @p1033 :rule cong :premises (@p1032 @p1031) :args (@t995)) % 0.51/0.97 (step @p1034 :rule refl :args (tptp.exuI1)) % 0.51/0.97 (step @p1035 :rule cong :premises (@p1034 @p1033) :args (@t996)) % 0.51/0.97 (step @p1036 :rule refl :args (tptp.notdallE)) % 0.51/0.97 (step @p1037 :rule cong :premises (@p1036 @p1035) :args (@t997)) % 0.51/0.97 (step @p1038 :rule refl :args (tptp.notdexE)) % 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(step @p1053 :rule cong :premises (@p1052 @p1051) :args (@t1005)) % 0.51/0.97 (step @p1054 :rule refl :args (tptp.emptyE1)) % 0.51/0.97 (step @p1055 :rule cong :premises (@p1054 @p1053) :args (@t1006)) % 0.51/0.97 (step @p1056 :rule refl :args (tptp.upairsetIR)) % 0.51/0.97 (step @p1057 :rule cong :premises (@p1056 @p1055) :args (@t1007)) % 0.51/0.97 (step @p1058 :rule refl :args (tptp.upairsetIL)) % 0.51/0.97 (step @p1059 :rule cong :premises (@p1058 @p1057) :args (@t1008)) % 0.51/0.97 (step @p1060 :rule refl :args (tptp.upairsetE)) % 0.51/0.97 (step @p1061 :rule cong :premises (@p1060 @p1059) :args (@t1009)) % 0.51/0.97 (step @p1062 :rule refl :args (tptp.singletonsswitch)) % 0.51/0.97 (step @p1063 :rule cong :premises (@p1062 @p1061) :args (@t1010)) % 0.51/0.97 (step @p1064 :rule refl :args (tptp.eqinunit)) % 0.51/0.97 (step @p1065 :rule cong :premises (@p1064 @p1063) :args (@t1011)) % 0.51/0.97 (step @p1066 :rule refl :args (tptp.notinsingleton)) % 0.51/0.97 (step @p1067 :rule cong 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(@p1714)) % 0.51/0.97 (step @p1716 :rule not_implies_elim2 :premises (@p1715)) % 0.51/0.97 (step @p1717 :rule not_implies_elim2 :premises (@p1716)) % 0.51/0.97 (step @p1718 :rule not_implies_elim2 :premises (@p1717)) % 0.51/0.97 (step @p1719 :rule not_implies_elim2 :premises (@p1718)) % 0.51/0.97 (step @p1720 :rule not_implies_elim2 :premises (@p1719)) % 0.51/0.97 (step @p1721 :rule not_implies_elim2 :premises (@p1720)) % 0.51/0.97 (step @p1722 :rule not_implies_elim2 :premises (@p1721)) % 0.51/0.97 (step @p1723 :rule not_implies_elim2 :premises (@p1722)) % 0.51/0.97 (step @p1724 :rule not_implies_elim2 :premises (@p1723)) % 0.51/0.97 (step @p1725 :rule not_implies_elim2 :premises (@p1724)) % 0.51/0.97 (step @p1726 :rule not_implies_elim2 :premises (@p1725)) % 0.51/0.97 (step @p1727 :rule not_implies_elim2 :premises (@p1726)) % 0.51/0.97 (step @p1728 :rule not_implies_elim2 :premises (@p1727)) % 0.51/0.97 (step @p1729 :rule not_implies_elim2 :premises (@p1728)) % 0.51/0.97 (step @p1730 :rule not_implies_elim2 :premises (@p1729)) % 0.51/0.97 (step @p1731 :rule not_implies_elim2 :premises (@p1730)) % 0.51/0.97 (step @p1732 :rule not_implies_elim2 :premises (@p1731)) % 0.51/0.97 (step @p1733 :rule not_implies_elim2 :premises (@p1732)) % 0.51/0.97 (step @p1734 :rule not_implies_elim2 :premises (@p1733)) % 0.51/0.97 (step @p1735 :rule not_implies_elim2 :premises (@p1734)) % 0.51/0.97 (step @p1736 :rule not_implies_elim2 :premises (@p1735)) % 0.51/0.97 (step @p1737 :rule not_implies_elim2 :premises (@p1736)) % 0.51/0.97 (step @p1738 :rule not_implies_elim2 :premises (@p1737)) % 0.51/0.97 (step @p1739 :rule not_implies_elim2 :premises (@p1738)) % 0.51/0.97 (step @p1740 :rule not_implies_elim2 :premises (@p1739)) % 0.51/0.97 (step @p1741 :rule not_implies_elim2 :premises (@p1740)) % 0.51/0.97 (step @p1742 :rule not_implies_elim2 :premises (@p1741)) % 0.51/0.97 (step @p1743 :rule not_implies_elim2 :premises (@p1742)) % 0.51/0.97 (step @p1744 :rule not_implies_elim2 :premises (@p1743)) % 0.51/0.97 (step @p1745 :rule not_implies_elim2 :premises (@p1744)) % 0.51/0.97 (step @p1746 :rule not_implies_elim2 :premises (@p1745)) % 0.51/0.97 (step @p1747 :rule not_implies_elim2 :premises (@p1746)) % 0.51/0.97 (step @p1748 :rule not_implies_elim2 :premises (@p1747)) % 0.51/0.97 (step @p1749 :rule not_implies_elim2 :premises (@p1748)) % 0.51/0.97 (step @p1750 :rule not_implies_elim2 :premises (@p1749)) % 0.51/0.97 (step @p1751 :rule not_implies_elim2 :premises (@p1750)) % 0.51/0.97 (step @p1752 :rule not_implies_elim2 :premises (@p1751)) % 0.51/0.97 (step @p1753 :rule not_implies_elim2 :premises (@p1752)) % 0.51/0.97 (step @p1754 :rule not_implies_elim2 :premises (@p1753)) % 0.51/0.97 (step @p1755 :rule not_implies_elim2 :premises (@p1754)) % 0.51/0.97 (step @p1756 :rule not_implies_elim2 :premises (@p1755)) % 0.51/0.97 (step @p1757 :rule not_implies_elim2 :premises (@p1756)) % 0.51/0.97 (step @p1758 :rule not_implies_elim2 :premises (@p1757)) % 0.51/0.97 (step @p1759 :rule not_implies_elim2 :premises (@p1758)) % 0.51/0.97 (step @p1760 :rule not_implies_elim2 :premises (@p1759)) % 0.51/0.97 (step @p1761 :rule not_implies_elim2 :premises (@p1760)) % 0.51/0.97 (step @p1762 :rule not_implies_elim2 :premises (@p1761)) % 0.51/0.97 (step @p1763 :rule not_implies_elim2 :premises (@p1762)) % 0.51/0.97 (step @p1764 :rule not_implies_elim2 :premises (@p1763)) % 0.51/0.97 (step @p1765 :rule not_implies_elim2 :premises (@p1764)) % 0.51/0.97 (step @p1766 :rule not_implies_elim2 :premises (@p1765)) % 0.51/0.97 (step @p1767 :rule not_implies_elim2 :premises (@p1766)) % 0.51/0.97 (step @p1768 :rule not_implies_elim2 :premises (@p1767)) % 0.51/0.97 (step @p1769 :rule not_implies_elim2 :premises (@p1768)) % 0.51/0.97 (step @p1770 :rule not_implies_elim2 :premises (@p1769)) % 0.51/0.97 (step @p1771 :rule not_implies_elim2 :premises (@p1770)) % 0.51/0.97 (step @p1772 :rule not_implies_elim2 :premises (@p1771)) % 0.51/0.97 (step @p1773 :rule not_implies_elim2 :premises (@p1772)) % 0.51/0.97 (step @p1774 :rule not_implies_elim2 :premises (@p1773)) % 0.51/0.97 (step @p1775 :rule not_implies_elim2 :premises (@p1774)) % 0.51/0.97 (step @p1776 :rule not_implies_elim1 :premises (@p1774)) % 0.51/0.97 (step @p1777 :rule cnf_equiv_pos1 :args ((= tptp.breln1compE @t1059))) % 0.51/0.97 (step @p1778 :rule chain_resolution :premises (@p1777 @p1776 @p1775) :args ((@list false true) (@list tptp.breln1compE @t1059))) % 0.51/0.97 (step @p1779 :rule aci_norm :args ((= (or @t745 (or @t744 @t743)) @t746))) % 0.51/0.97 (step @p1780 :rule bool-and-de-morgan :args (@t324 @t322 true)) % 0.51/0.97 (step @p1781 :rule nary_cong :premises (@p527 @p1780) :args ((or @t745 (not (and @t324 @t322))))) % 0.51/0.97 (step @p1782 :rule bool-and-de-morgan :args (@t325 @t324 (and @t322))) % 0.51/0.97 (step @p1783 :rule trans :premises (@p1782 @p1781)) % 0.51/0.97 (step @p1784 :rule trans :premises (@p1783 @p1779)) % 0.51/0.97 (step @p1785 :rule cong :premises (@p1784) :args (@t1060)) % 0.51/0.97 (step @p1786 :rule trans :premises (@p1785 @p512)) % 0.51/0.97 (step @p1787 :rule cong :premises (@p1786) :args (@t1061)) % 0.51/0.97 (step @p1788 :rule exists-elim :args ((= @t327 @t1061))) % 0.51/0.97 (step @p1789 :rule trans :premises (@p1788 @p1787)) % 0.51/0.97 (step @p1790 :rule cong :premises (@p537 @p1789) :args (@t328)) % 0.51/0.97 (step @p1791 :rule cong :premises (@p539 @p1790) :args (@t329)) % 0.51/0.97 (step @p1792 :rule cong :premises (@p1791) :args (@t330)) % 0.51/0.97 (step @p1793 :rule trans :premises (@p1792 @p439)) % 0.51/0.97 (step @p1794 :rule cong :premises (@p543 @p1793) :args (@t331)) % 0.51/0.97 (step @p1795 :rule cong :premises (@p1794) :args (@t332)) % 0.51/0.97 (step @p1796 :rule trans :premises (@p1795 @p397)) % 0.51/0.97 (step @p1797 :rule cong :premises (@p551 @p1796) :args (@t1062)) % 0.51/0.97 (step @p1798 :rule cong :premises (@p1797) :args (@t1063)) % 0.51/0.97 (step @p1799 :rule trans :premises (@p1798 @p372)) % 0.51/0.97 (step @p1800 :rule cong :premises (@p558 @p1799) :args (@t1064)) % 0.51/0.97 (step @p1801 :rule cong :premises (@p1800) :args (@t1065)) % 0.51/0.97 (step @p1802 :rule trans :premises (@p1801 @p340)) % 0.51/0.97 (step @p1803 :rule cong :premises (@p562 @p1802) :args ((= tptp.breln1compE @t1065))) % 0.51/0.97 (step @p1804 :rule refl :args (@t332)) % 0.51/0.97 (step @p1805 :rule cong :premises (@p1173 @p1804) :args (@t333)) % 0.51/0.97 (step @p1806 :rule cong :premises (@p1805) :args (@t334)) % 0.51/0.97 (step @p1807 :rule cong :premises (@p1176 @p1806) :args (@t335)) % 0.51/0.97 (step @p1808 :rule cong :premises (@p1807) :args (@t336)) % 0.51/0.97 (step @p1809 :rule cong :premises (@p562 @p1808) :args (@t337)) % 0.51/0.97 (step @p1810 :rule trans :premises (@p1809 @p1803)) % 0.51/0.97 (step @p1811 :rule eq_resolve :premises (@p297 @p1810)) % 0.51/0.97 (step @p1812 false :rule contra :premises (@p1811 @p1778)) % 0.51/0.97 ) % 0.51/0.97 % SZS output end Proof % 0.51/0.97 % cvc5 exiting %------------------------------------------------------------------------------