%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU766^1 : 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 : n009.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 08:53:06 AM UTC 2026 % Result : Theorem 0.51s 0.92s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU766^1 : 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 : n009.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 17:50:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.66 %----Proving TH0 % 0.51/0.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.92 % SZS status Theorem % 0.51/0.92 % SZS output start Proof % 0.51/0.92 ( % 0.51/0.92 (declare-sort $$unsorted 0) % 0.51/0.92 (declare-const tptp.emptyset $$unsorted) % 0.51/0.92 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.51/0.92 (declare-const tptp.singleton (-> $$unsorted Bool)) % 0.51/0.92 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.51/0.92 (declare-const tptp.woz1_3 Bool) % 0.51/0.92 (declare-const tptp.woz1_1 Bool) % 0.51/0.92 (declare-const tptp.woz13rule4 Bool) % 0.51/0.92 (declare-const tptp.woz13rule3 Bool) % 0.51/0.92 (declare-const tptp.woz13rule1 Bool) % 0.51/0.92 (declare-const tptp.woz13rule0 Bool) % 0.51/0.92 (declare-const tptp.demorgan2 Bool) % 0.51/0.92 (declare-const tptp.demorgan2b Bool) % 0.51/0.92 (declare-const tptp.demorgan1 Bool) % 0.51/0.92 (declare-const tptp.demorgan1a Bool) % 0.51/0.92 (declare-const tptp.complementUnionInPowersetComplement Bool) % 0.51/0.92 (declare-const tptp.demorgan2a1 Bool) % 0.51/0.92 (declare-const tptp.binunionTILcontra Bool) % 0.51/0.92 (declare-const tptp.complementTcontraSubset Bool) % 0.51/0.92 (declare-const tptp.contraSubsetComplement Bool) % 0.51/0.92 (declare-const tptp.complementImpComplementIntersect Bool) % 0.51/0.92 (declare-const tptp.complementTnotintersectT Bool) % 0.51/0.92 (declare-const tptp.doubleComplementSub2 Bool) % 0.51/0.92 (declare-const tptp.doubleComplementSub1 Bool) % 0.51/0.92 (declare-const tptp.contrasubsetT2 Bool) % 0.51/0.92 (declare-const tptp.contrasubsetT1 Bool) % 0.51/0.92 (declare-const tptp.contrasubsetT Bool) % 0.51/0.92 (declare-const tptp.binintersectTELcontra Bool) % 0.51/0.92 (declare-const tptp.complementTI1 Bool) % 0.51/0.92 (declare-const tptp.powersetTE1 Bool) % 0.51/0.92 (declare-const tptp.powersetTI1 Bool) % 0.51/0.92 (declare-const tptp.subsetTI Bool) % 0.51/0.92 (declare-const tptp.binintersectER Bool) % 0.51/0.92 (declare-const tptp.setext Bool) % 0.51/0.92 (declare-const tptp.dpsetconstrER Bool) % 0.51/0.92 (declare-const tptp.binintersectSubset2 Bool) % 0.51/0.92 (declare-const tptp.binintersectEL Bool) % 0.51/0.92 (declare-const tptp.eta1 Bool) % 0.51/0.92 (declare-const tptp.exuI1 Bool) % 0.51/0.92 (declare-const tptp.binunionEcases Bool) % 0.51/0.92 (declare-const tptp.descrp Bool) % 0.51/0.92 (declare-const tptp.cartprodpairsurjEq Bool) % 0.51/0.92 (declare-const tptp.binunionIR Bool) % 0.51/0.92 (declare-const tptp.binunionIL Bool) % 0.51/0.92 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.setbeta Bool) % 0.51/0.92 (declare-const tptp.setextsub Bool) % 0.51/0.92 (declare-const tptp.singletonsubset Bool) % 0.51/0.92 (declare-const tptp.doubleComplementEq Bool) % 0.51/0.92 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.setadjoinSub2 Bool) % 0.51/0.92 (declare-const tptp.kpairiskpair Bool) % 0.51/0.92 (declare-const tptp.setadjoinSub Bool) % 0.51/0.92 (declare-const tptp.notequalI2 Bool) % 0.51/0.92 (declare-const tptp.emptysetsubset Bool) % 0.51/0.92 (declare-const tptp.omega0Ax Bool) % 0.51/0.92 (declare-const tptp.symdiffE Bool) % 0.51/0.92 (declare-const tptp.cartprodfstin Bool) % 0.51/0.92 (declare-const tptp.iftrueorfalse Bool) % 0.51/0.92 (declare-const tptp.powerset__Cong Bool) % 0.51/0.92 (declare-const tptp.setextAx Bool) % 0.51/0.92 (declare-const tptp.nonemptyE1 Bool) % 0.51/0.92 (declare-const tptp.binintersectRsub Bool) % 0.51/0.92 (declare-const tptp.emptyset__Cong Bool) % 0.51/0.92 (declare-const tptp.setadjoin__Cong Bool) % 0.51/0.92 (declare-const tptp.iffalseProp2 Bool) % 0.51/0.92 (declare-const tptp.binintersectSubset3 Bool) % 0.51/0.92 (declare-const tptp.exuE3e Bool) % 0.51/0.92 (declare-const tptp.quantDeMorgan3 Bool) % 0.51/0.92 (declare-const tptp.eta2 Bool) % 0.51/0.92 (declare-const tptp.exu__Cong Bool) % 0.51/0.92 (declare-const tptp.in__Cong Bool) % 0.51/0.92 (declare-const tptp.inCongP Bool) % 0.51/0.92 (declare-const tptp.setunionsingleton2 Bool) % 0.51/0.92 (declare-const tptp.exuI3 Bool) % 0.51/0.92 (declare-const tptp.subsetE Bool) % 0.51/0.92 (declare-const tptp.setukpairinjL2 Bool) % 0.51/0.92 (declare-const tptp.binintersectT_lem Bool) % 0.51/0.92 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.51/0.92 (declare-const tptp.sepSubset Bool) % 0.51/0.92 (declare-const tptp.cartprodmempaircEq Bool) % 0.51/0.92 (declare-const tptp.setminusSubset2 Bool) % 0.51/0.92 (declare-const tptp.ap2p Bool) % 0.51/0.92 (declare-const tptp.quantDeMorgan1 Bool) % 0.51/0.92 (declare-const tptp.ubforcartprodlem1 Bool) % 0.51/0.92 (declare-const tptp.sepInPowerset Bool) % 0.51/0.92 (declare-const tptp.demorgan2a Bool) % 0.51/0.92 (declare-const tptp.vacuousDall Bool) % 0.51/0.92 (declare-const tptp.inPowerset Bool) % 0.51/0.92 (declare-const tptp.upairset2E Bool) % 0.51/0.92 (declare-const tptp.cartprodsndin Bool) % 0.51/0.92 (declare-const tptp.emptyE1 Bool) % 0.51/0.92 (declare-const tptp.subbreln Bool) % 0.51/0.92 (declare-const tptp.notequalI1 Bool) % 0.51/0.92 (declare-const tptp.symdiffIneg1 Bool) % 0.51/0.92 (declare-const tptp.binunionT_lem Bool) % 0.51/0.92 (declare-const tptp.complementInPowersetComplementIntersect Bool) % 0.51/0.92 (declare-const tptp.emptysetE Bool) % 0.51/0.92 (declare-const tptp.omega__Cong Bool) % 0.51/0.92 (declare-const tptp.ifSingleton Bool) % 0.51/0.92 (declare-const tptp.setadjoinIL Bool) % 0.51/0.92 (declare-const tptp.exuEu Bool) % 0.51/0.92 (declare-const tptp.complementSubsetComplementIntersect Bool) % 0.51/0.92 (declare-const tptp.prop2setE Bool) % 0.51/0.92 (declare-const tptp.exuI2 Bool) % 0.51/0.92 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.51/0.92 (declare-const tptp.binintersectLsub Bool) % 0.51/0.92 (declare-const tptp.binunionTEcontra Bool) % 0.51/0.92 (declare-const tptp.nonemptyImpWitness Bool) % 0.51/0.92 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.51/0.92 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.51/0.92 (declare-const tptp.replAx Bool) % 0.51/0.92 (declare-const tptp.upairinpowunion Bool) % 0.51/0.92 (declare-const tptp.upairsetE Bool) % 0.51/0.92 (declare-const tptp.binunionLsub Bool) % 0.51/0.92 (declare-const tptp.prop2set2propI Bool) % 0.51/0.92 (declare-const tptp.dsetconstrEL Bool) % 0.51/0.92 (declare-const tptp.emptyinPowerset Bool) % 0.51/0.92 (declare-const tptp.setadjoinIR Bool) % 0.51/0.92 (declare-const tptp.setminusSubset1 Bool) % 0.51/0.92 (declare-const tptp.dsetconstr__Cong Bool) % 0.51/0.92 (declare-const tptp.kfstpairEq Bool) % 0.51/0.92 (declare-const tptp.complementT_lem Bool) % 0.51/0.92 (declare-const tptp.subsetTrans Bool) % 0.51/0.92 (declare-const tptp.setukpairIL Bool) % 0.51/0.92 (declare-const tptp.uniqinunit Bool) % 0.51/0.92 (declare-const tptp.foundationAx Bool) % 0.51/0.92 (declare-const tptp.notsubsetI Bool) % 0.51/0.92 (declare-const tptp.upairequniteq Bool) % 0.51/0.92 (declare-const tptp.funcGraphProp3 Bool) % 0.51/0.92 (declare-const tptp.binintersectSubset4 Bool) % 0.51/0.92 (declare-const tptp.emptysetimpfalse Bool) % 0.51/0.92 (declare-const tptp.subsetRefl Bool) % 0.51/0.92 (declare-const tptp.powersetT_lem Bool) % 0.51/0.92 (declare-const tptp.beta2 Bool) % 0.51/0.92 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.exuE2 Bool) % 0.51/0.92 (declare-const tptp.subsetI2 Bool) % 0.51/0.92 (declare-const tptp.setukpairinjR11 Bool) % 0.51/0.92 (declare-const tptp.powersetsubset Bool) % 0.51/0.92 (declare-const tptp.eqimpsubset2 Bool) % 0.51/0.92 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.inIntersectImpInUnion2 Bool) % 0.51/0.92 (declare-const tptp.setminusLsub Bool) % 0.51/0.92 (declare-const tptp.emptyinunitempty Bool) % 0.51/0.92 (declare-const tptp.doubleComplementE1 Bool) % 0.51/0.92 (declare-const tptp.binunionRsub Bool) % 0.51/0.92 (declare-const tptp.demorgan2b2 Bool) % 0.51/0.92 (declare-const tptp.cartprodmempair1 Bool) % 0.51/0.92 (declare-const tptp.notdallE Bool) % 0.51/0.92 (declare-const tptp.dsetconstrER Bool) % 0.51/0.92 (declare-const tptp.ap2apEq2 Bool) % 0.51/0.92 (declare-const tptp.doubleComplementI1 Bool) % 0.51/0.92 (declare-const tptp.binunionE Bool) % 0.51/0.92 (declare-const tptp.cartprodpairin Bool) % 0.51/0.92 (declare-const tptp.funcext2 Bool) % 0.51/0.92 (declare-const tptp.eqimpsubset1 Bool) % 0.51/0.92 (declare-const tptp.emptyInPowerset Bool) % 0.51/0.92 (declare-const tptp.setadjoinAx Bool) % 0.51/0.92 (declare-const tptp.exuE3u Bool) % 0.51/0.92 (declare-const tptp.ifp Bool) % 0.51/0.92 (declare-const tptp.subsetemptysetimpeq Bool) % 0.51/0.92 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.setextT Bool) % 0.51/0.92 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.theeq Bool) % 0.51/0.92 (declare-const tptp.setminusELneg Bool) % 0.51/0.92 (declare-const tptp.inComplementUnionImpNotIn1 Bool) % 0.51/0.92 (declare-const tptp.powersetE Bool) % 0.51/0.92 (declare-const tptp.omegaSAx Bool) % 0.51/0.92 (declare-const tptp.lam2p Bool) % 0.51/0.92 (declare-const tptp.upairset2IR Bool) % 0.51/0.92 (declare-const tptp.wellorderingAx Bool) % 0.51/0.92 (declare-const tptp.cartprodsndpairEq Bool) % 0.51/0.92 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.setoftrueEq Bool) % 0.51/0.92 (declare-const tptp.setunionAx Bool) % 0.51/0.92 (declare-const tptp.omegaIndAx Bool) % 0.51/0.92 (declare-const tptp.inComplementUnionImpInComplement1 Bool) % 0.51/0.92 (declare-const tptp.setunionE Bool) % 0.51/0.92 (declare-const tptp.emptyI Bool) % 0.51/0.92 (declare-const tptp.noeltsimpempty Bool) % 0.51/0.92 (declare-const tptp.binunionTIRcontra Bool) % 0.51/0.92 (declare-const tptp.setminusER Bool) % 0.51/0.92 (declare-const tptp.kpairp Bool) % 0.51/0.92 (declare-const tptp.powersetI1 Bool) % 0.51/0.92 (declare-const tptp.upairsetIL Bool) % 0.51/0.92 (declare-const tptp.nonemptyI Bool) % 0.51/0.92 (declare-const tptp.subsetI1 Bool) % 0.51/0.92 (declare-const tptp.emptysetAx Bool) % 0.51/0.92 (declare-const tptp.iftrue Bool) % 0.51/0.92 (declare-const tptp.singletonsuniq Bool) % 0.51/0.92 (declare-const tptp.nonemptyI1 Bool) % 0.51/0.92 (declare-const tptp.descr__Cong Bool) % 0.51/0.92 (declare-const tptp.setminusEL Bool) % 0.51/0.92 (declare-const tptp.infuncsetfunc Bool) % 0.51/0.92 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.setadjoinE Bool) % 0.51/0.92 (declare-const tptp.funcinfuncset Bool) % 0.51/0.92 (declare-const tptp.setunionsingleton1 Bool) % 0.51/0.92 (declare-const tptp.notdexE Bool) % 0.51/0.92 (declare-const tptp.setunionI Bool) % 0.51/0.92 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.exuE1 Bool) % 0.51/0.92 (declare-const tptp.binintersectSubset5 Bool) % 0.51/0.92 (declare-const tptp.binunionTE Bool) % 0.51/0.92 (declare-const tptp.subPowSU Bool) % 0.51/0.92 (declare-const tptp.complementTE1 Bool) % 0.51/0.92 (declare-const tptp.subset2powerset Bool) % 0.51/0.92 (declare-const tptp.singletonsswitch Bool) % 0.51/0.92 (declare-const tptp.powersetE1 Bool) % 0.51/0.92 (declare-const tptp.setunion__Cong Bool) % 0.51/0.92 (declare-const tptp.funcGraphProp4 Bool) % 0.51/0.92 (declare-const tptp.notinemptyset Bool) % 0.51/0.92 (declare-const tptp.binintersectSubset1 Bool) % 0.51/0.92 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.ex1E1 Bool) % 0.51/0.92 (declare-const tptp.apProp Bool) % 0.51/0.92 (declare-const tptp.bs114d Bool) % 0.51/0.92 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.setminusI Bool) % 0.51/0.92 (declare-const tptp.ex1I2 Bool) % 0.51/0.92 (declare-const tptp.inIntersectImpInUnion Bool) % 0.51/0.92 (declare-const tptp.setminusERneg Bool) % 0.51/0.92 (declare-const tptp.setminusILneg Bool) % 0.51/0.92 (declare-const tptp.setminusIRneg Bool) % 0.51/0.92 (declare-const tptp.theprop Bool) % 0.51/0.92 (declare-const tptp.symdiffI1 Bool) % 0.51/0.92 (declare-const tptp.intersectInPowersetIntersectUnions Bool) % 0.51/0.92 (declare-const tptp.powersetI Bool) % 0.51/0.92 (declare-const tptp.symdiffI2 Bool) % 0.51/0.92 (declare-const tptp.symdiffIneg2 Bool) % 0.51/0.92 (declare-const tptp.brelnall2 Bool) % 0.51/0.92 (declare-const tptp.secondinupair Bool) % 0.51/0.92 (declare-const tptp.setadjoinOr Bool) % 0.51/0.92 (declare-const tptp.funcGraphProp1 Bool) % 0.51/0.92 (declare-const tptp.setukpairIR Bool) % 0.51/0.92 (declare-const tptp.singletoninpowerset Bool) % 0.51/0.92 (declare-const tptp.ksndpairEq Bool) % 0.51/0.92 (declare-const tptp.eqbreln Bool) % 0.51/0.92 (declare-const tptp.notinsingleton Bool) % 0.51/0.92 (declare-const tptp.singletoninpowunion Bool) % 0.51/0.92 (declare-const tptp.demorgan2a2 Bool) % 0.51/0.92 (declare-const tptp.eqinunit Bool) % 0.51/0.92 (declare-const tptp.upairsubunion Bool) % 0.51/0.92 (declare-const tptp.upairsetIR Bool) % 0.51/0.92 (declare-const tptp.ubforcartprodlem2 Bool) % 0.51/0.92 (declare-const tptp.beta1 Bool) % 0.51/0.92 (declare-const tptp.ubforcartprodlem3 Bool) % 0.51/0.92 (declare-const tptp.funcext Bool) % 0.51/0.92 (declare-const tptp.cartprodmempair Bool) % 0.51/0.92 (declare-const tptp.prop2setI Bool) % 0.51/0.92 (declare-const tptp.setunionE2 Bool) % 0.51/0.92 (declare-const tptp.setunionsingleton Bool) % 0.51/0.92 (declare-const tptp.quantDeMorgan4 Bool) % 0.51/0.92 (declare-const tptp.iffalseProp1 Bool) % 0.51/0.92 (declare-const tptp.woz13rule2 Bool) % 0.51/0.92 (declare-const tptp.singletonprop Bool) % 0.51/0.92 (declare-const tptp.dsetconstrI Bool) % 0.51/0.92 (declare-const tptp.funcImageSingleton Bool) % 0.51/0.92 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.51/0.92 (declare-const tptp.ex1I Bool) % 0.51/0.92 (declare-const tptp.woz1_2 Bool) % 0.51/0.92 (declare-const tptp.setukpairinjL1 Bool) % 0.51/0.92 (declare-const tptp.kfstsingleton Bool) % 0.51/0.92 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.setukpairinjL Bool) % 0.51/0.92 (declare-const tptp.powersetAx Bool) % 0.51/0.92 (declare-const tptp.setukpairinjR12 Bool) % 0.51/0.92 (declare-const tptp.subsetE2 Bool) % 0.51/0.92 (declare-const tptp.setukpairinjR1 Bool) % 0.51/0.92 (declare-const tptp.setukpairinjR2 Bool) % 0.51/0.92 (declare-const tptp.omega $$unsorted) % 0.51/0.92 (declare-const tptp.setukpairinjR Bool) % 0.51/0.92 (declare-const tptp.ksndsingleton Bool) % 0.51/0.92 (declare-const tptp.kpairsurjEq Bool) % 0.51/0.92 (declare-const tptp.cartprodpairmemEL Bool) % 0.51/0.92 (declare-const tptp.cartprodpairmemER Bool) % 0.51/0.92 (declare-const tptp.binintersectTERcontra Bool) % 0.51/0.92 (declare-const tptp.cartprodfstpairEq Bool) % 0.51/0.92 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.51/0.92 (declare-const tptp.dpsetconstrI Bool) % 0.51/0.92 (declare-const tptp.contrasubsetT3 Bool) % 0.51/0.92 (declare-const tptp.dpsetconstrSub Bool) % 0.51/0.92 (declare-const tptp.setOfPairsIsBReln Bool) % 0.51/0.92 (declare-const tptp.dpsetconstrERa Bool) % 0.51/0.92 (declare-const tptp.binintersectI Bool) % 0.51/0.92 (declare-const tptp.dpsetconstrEL1 Bool) % 0.51/0.92 (declare-const tptp.dpsetconstrEL2 Bool) % 0.51/0.92 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.92 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.92 (declare-const tptp.disjointsetsI1 Bool) % 0.51/0.92 (declare-const tptp.app Bool) % 0.51/0.92 (declare-const tptp.iftrueProp2 Bool) % 0.51/0.92 (declare-const tptp.lamProp Bool) % 0.51/0.92 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 0.51/0.92 (declare-const tptp.iffalse Bool) % 0.51/0.92 (declare-const tptp.lamp Bool) % 0.51/0.92 (declare-const tptp.brelnall1 Bool) % 0.51/0.92 (declare-const tptp.inIntersectImpInIntersectUnions Bool) % 0.51/0.92 (declare-const tptp.ex1E2 Bool) % 0.51/0.92 (declare-const tptp.funcGraphProp2 Bool) % 0.51/0.92 (declare-const tptp.funcextLem Bool) % 0.51/0.92 (declare-const tptp.demorgan1b Bool) % 0.51/0.92 (declare-const tptp.ap2apEq1 Bool) % 0.51/0.92 (declare-const tptp.quantDeMorgan2 Bool) % 0.51/0.92 (declare-const tptp.lam2lamEq Bool) % 0.51/0.92 (declare-const tptp.iftrueProp1 Bool) % 0.51/0.92 (declare-const tptp.setminusT_lem Bool) % 0.51/0.92 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.51/0.92 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.51/0.92 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.51/0.92 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.51/0.92 (define @t1 () (@var "B" $$unsorted)) % 0.51/0.92 (define @t2 () (@var "A" $$unsorted)) % 0.51/0.92 (define @t3 () (= @t2 @t1)) % 0.51/0.92 (define @t4 () (@var "Xx" $$unsorted)) % 0.51/0.92 (define @t5 () (_ tptp.in @t4)) % 0.51/0.92 (define @t6 () (_ @t5 @t1)) % 0.51/0.92 (define @t7 () (_ @t5 @t2)) % 0.51/0.92 (define @t8 () (@list @t4)) % 0.51/0.92 (define @t9 () (@list @t2 @t1)) % 0.51/0.92 (define @t10 () (_ @t5 tptp.emptyset)) % 0.51/0.92 (define @t11 () (forall @t8 (not @t10))) % 0.51/0.92 (define @t12 () (@var "Xy" $$unsorted)) % 0.51/0.92 (define @t13 () (_ tptp.in @t12)) % 0.51/0.92 (define @t14 () (_ @t13 @t2)) % 0.51/0.92 (define @t15 () (= @t12 @t4)) % 0.51/0.92 (define @t16 () (or @t15 @t14)) % 0.51/0.92 (define @t17 () (_ tptp.setadjoin @t4)) % 0.51/0.92 (define @t18 () (_ @t17 @t2)) % 0.51/0.92 (define @t19 () (_ @t13 @t18)) % 0.51/0.92 (define @t20 () (@list @t4 @t2 @t12)) % 0.51/0.92 (define @t21 () (=> @t6 @t7)) % 0.51/0.92 (define @t22 () (forall @t8 @t21)) % 0.51/0.92 (define @t23 () (_ tptp.powerset @t2)) % 0.51/0.92 (define @t24 () (_ tptp.in @t1)) % 0.51/0.92 (define @t25 () (_ @t24 @t23)) % 0.51/0.92 (define @t26 () (_ @t24 @t2)) % 0.51/0.92 (define @t27 () (@list @t1)) % 0.51/0.92 (define @t28 () (_ tptp.setunion @t2)) % 0.51/0.92 (define @t29 () (_ @t5 @t28)) % 0.51/0.92 (define @t30 () (@list @t2 @t4)) % 0.51/0.92 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.51/0.92 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.51/0.92 (define @t33 () (_ @t5 tptp.omega)) % 0.51/0.92 (define @t34 () (@list @t2)) % 0.51/0.92 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.51/0.92 (define @t36 () (@list @t12)) % 0.51/0.92 (define @t37 () (_ (_ @t35 @t4) @t12)) % 0.51/0.92 (define @t38 () (exists @t8 @t7)) % 0.51/0.92 (define @t39 () (@var "E" $$unsorted)) % 0.51/0.92 (define @t40 () (@var "D" $$unsorted)) % 0.51/0.92 (define @t41 () (_ @t13 @t40)) % 0.51/0.92 (define @t42 () (@var "C" $$unsorted)) % 0.51/0.92 (define @t43 () (_ @t13 @t42)) % 0.51/0.92 (define @t44 () (_ @t5 @t42)) % 0.51/0.92 (define @t45 () (_ (_ tptp.in @t40) @t1)) % 0.51/0.92 (define @t46 () (forall @t8 (=> @t44 @t7))) % 0.51/0.92 (define @t47 () (@list @t42)) % 0.51/0.92 (define @t48 () (_ @t5 @t40)) % 0.51/0.92 (define @t49 () (_ (_ tptp.in @t42) @t1)) % 0.51/0.92 (define @t50 () (= @t4 @t12)) % 0.51/0.92 (define @t51 () (@list @t4 @t12)) % 0.51/0.92 (define @t52 () (@var "Xphi" (-> $$unsorted Bool))) % 0.51/0.92 (define @t53 () (_ @t52 @t4)) % 0.51/0.92 (define @t54 () (lambda @t8 @t53)) % 0.51/0.92 (define @t55 () (_ tptp.descr @t54)) % 0.51/0.92 (define @t56 () (_ tptp.exu @t54)) % 0.51/0.92 (define @t57 () (@list @t52)) % 0.51/0.92 (define @t58 () (_ @t52 @t12)) % 0.51/0.92 (define @t59 () (lambda @t36 @t58)) % 0.51/0.92 (define @t60 () (_ tptp.dsetconstr @t2)) % 0.51/0.92 (define @t61 () (_ @t60 @t59)) % 0.51/0.92 (define @t62 () (_ @t5 @t61)) % 0.51/0.92 (define @t63 () (@list @t2 @t52 @t4)) % 0.51/0.92 (define @t64 () (=> @t58 @t50)) % 0.51/0.92 (define @t65 () (exists @t8 (and @t53 (forall @t36 @t64)))) % 0.51/0.92 (define @t66 () (@var "Xphi" Bool)) % 0.51/0.92 (define @t67 () (_ tptp.prop2set @t66)) % 0.51/0.92 (define @t68 () (@list @t66 @t4)) % 0.51/0.92 (define @t69 () (@list @t66)) % 0.51/0.92 (define @t70 () (exists @t8 @t53)) % 0.51/0.92 (define @t71 () (=> @t7 @t6)) % 0.51/0.92 (define @t72 () (forall @t8 @t71)) % 0.51/0.92 (define @t73 () (= @t2 tptp.emptyset)) % 0.51/0.92 (define @t74 () (not @t7)) % 0.51/0.92 (define @t75 () (forall @t34 (=> (forall @t8 @t74) @t73))) % 0.51/0.92 (define @t76 () (_ tptp.nonempty @t2)) % 0.51/0.92 (define @t77 () (forall @t34 (_ @t31 @t23))) % 0.51/0.92 (define @t78 () (@list @t2 @t1 @t4)) % 0.51/0.92 (define @t79 () (@list @t2 @t4 @t1)) % 0.51/0.92 (define @t80 () (exists @t8 (forall @t36 (= @t58 @t15)))) % 0.51/0.92 (define @t81 () (_ tptp.setadjoin @t12)) % 0.51/0.92 (define @t82 () (_ @t81 tptp.emptyset)) % 0.51/0.92 (define @t83 () (_ @t5 @t82)) % 0.51/0.92 (define @t84 () (_ @t17 tptp.emptyset)) % 0.51/0.92 (define @t85 () (_ @t13 @t84)) % 0.51/0.92 (define @t86 () (@var "Xz" $$unsorted)) % 0.51/0.92 (define @t87 () (= @t86 @t12)) % 0.51/0.92 (define @t88 () (= @t86 @t4)) % 0.51/0.92 (define @t89 () (_ @t17 @t82)) % 0.51/0.92 (define @t90 () (@list @t4 @t12 @t86)) % 0.51/0.92 (define @t91 () (forall @t90 (=> (_ (_ tptp.in @t86) @t89) (or @t88 @t87)))) % 0.51/0.92 (define @t92 () (forall @t51 (_ @t13 @t89))) % 0.51/0.92 (define @t93 () (_ @t60 @t54)) % 0.51/0.92 (define @t94 () (exists @t8 (and @t7 @t53))) % 0.51/0.92 (define @t95 () (@list @t2 @t52)) % 0.51/0.92 (define @t96 () (not @t53)) % 0.51/0.92 (define @t97 () (exists @t8 (and @t7 @t96))) % 0.51/0.92 (define @t98 () (not (forall @t8 (=> @t7 @t53)))) % 0.51/0.92 (define @t99 () (forall @t95 (=> @t98 @t97))) % 0.51/0.92 (define @t100 () (not @t94)) % 0.51/0.92 (define @t101 () (forall @t8 (=> @t7 @t96))) % 0.51/0.92 (define @t102 () (forall @t95 (=> @t100 @t101))) % 0.51/0.92 (define @t103 () (=> @t53 @t64)) % 0.51/0.92 (define @t104 () (forall @t51 @t103)) % 0.51/0.92 (define @t105 () (_ @t13 @t1)) % 0.51/0.92 (define @t106 () (forall @t57 (=> @t56 @t104))) % 0.51/0.92 (define @t107 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.51/0.92 (define @t108 () (lambda @t8 (_ @t107 @t4))) % 0.51/0.92 (define @t109 () (_ tptp.exu @t108)) % 0.51/0.92 (define @t110 () (=> @t50 (= @t53 (_ @t107 @t12)))) % 0.51/0.92 (define @t111 () (forall @t51 @t110)) % 0.51/0.92 (define @t112 () (@list @t52 @t107)) % 0.51/0.92 (define @t113 () (@var "Xu" $$unsorted)) % 0.51/0.92 (define @t114 () (= @t86 @t113)) % 0.51/0.92 (define @t115 () (@list @t86 @t113)) % 0.51/0.92 (define @t116 () (_ tptp.powerset @t1)) % 0.51/0.92 (define @t117 () (_ tptp.dsetconstr @t1)) % 0.51/0.92 (define @t118 () (_ tptp.subset @t2)) % 0.51/0.92 (define @t119 () (_ @t118 @t1)) % 0.51/0.92 (define @t120 () (forall @t9 (=> @t72 @t119))) % 0.51/0.92 (define @t121 () (_ tptp.subset @t1)) % 0.51/0.92 (define @t122 () (_ @t121 @t2)) % 0.51/0.92 (define @t123 () (not @t6)) % 0.51/0.92 (define @t124 () (=> @t123 @t74)) % 0.51/0.92 (define @t125 () (not @t119)) % 0.51/0.92 (define @t126 () (not @t3)) % 0.51/0.92 (define @t127 () (@list @t2 @t1 @t42)) % 0.51/0.92 (define @t128 () (_ tptp.in @t2)) % 0.51/0.92 (define @t129 () (_ (_ tptp.binunion @t2) @t1)) % 0.51/0.92 (define @t130 () (_ @t5 @t129)) % 0.51/0.92 (define @t131 () (=> @t6 @t66)) % 0.51/0.92 (define @t132 () (_ tptp.binintersect @t2)) % 0.51/0.92 (define @t133 () (_ @t132 @t1)) % 0.51/0.92 (define @t134 () (_ @t5 @t133)) % 0.51/0.92 (define @t135 () (_ tptp.subset @t42)) % 0.51/0.92 (define @t136 () (_ tptp.subset @t133)) % 0.51/0.92 (define @t137 () (= @t133 @t2)) % 0.51/0.92 (define @t138 () (= @t133 @t1)) % 0.51/0.92 (define @t139 () (_ tptp.setminus @t2)) % 0.51/0.92 (define @t140 () (_ @t139 @t1)) % 0.51/0.92 (define @t141 () (_ @t5 @t140)) % 0.51/0.92 (define @t142 () (= @t140 tptp.emptyset)) % 0.51/0.92 (define @t143 () (not @t141)) % 0.51/0.92 (define @t144 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.51/0.92 (define @t145 () (not @t144)) % 0.51/0.92 (define @t146 () (_ tptp.setadjoin @t84)) % 0.51/0.92 (define @t147 () (_ @t146 (_ (_ tptp.setadjoin @t89) tptp.emptyset))) % 0.51/0.92 (define @t148 () (_ tptp.setunion @t147)) % 0.51/0.92 (define @t149 () (_ tptp.kpair @t4)) % 0.51/0.92 (define @t150 () (_ @t149 @t12)) % 0.51/0.92 (define @t151 () (_ tptp.in @t84)) % 0.51/0.92 (define @t152 () (_ tptp.powerset @t129)) % 0.51/0.92 (define @t153 () (_ tptp.powerset @t152)) % 0.51/0.92 (define @t154 () (_ tptp.in @t150)) % 0.51/0.92 (define @t155 () (_ (_ tptp.cartprod @t2) @t1)) % 0.51/0.92 (define @t156 () (_ @t154 @t155)) % 0.51/0.92 (define @t157 () (_ (_ tptp.in @t113) @t155)) % 0.51/0.92 (define @t158 () (@list @t2 @t1 @t113)) % 0.51/0.92 (define @t159 () (_ tptp.iskpair @t113)) % 0.51/0.92 (define @t160 () (@var "X" $$unsorted)) % 0.51/0.92 (define @t161 () (_ @t5 @t160)) % 0.51/0.92 (define @t162 () (_ tptp.in @t160)) % 0.51/0.92 (define @t163 () (@list @t160)) % 0.51/0.92 (define @t164 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.51/0.92 (define @t165 () (_ tptp.singleton @t93)) % 0.51/0.92 (define @t166 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t103))))) % 0.51/0.92 (define @t167 () (_ tptp.ex1 @t2)) % 0.51/0.92 (define @t168 () (_ @t167 @t54)) % 0.51/0.92 (define @t169 () (= @t4 @t86)) % 0.51/0.92 (define @t170 () (_ tptp.setadjoin @t86)) % 0.51/0.92 (define @t171 () (_ @t170 tptp.emptyset)) % 0.51/0.92 (define @t172 () (_ tptp.dsetconstr (_ tptp.setunion @t113))) % 0.51/0.92 (define @t173 () (@list @t113)) % 0.51/0.92 (define @t174 () (_ tptp.setunion @t160)) % 0.51/0.92 (define @t175 () (_ tptp.singleton @t160)) % 0.51/0.92 (define @t176 () (= (_ tptp.kfst @t150) @t4)) % 0.51/0.92 (define @t177 () (_ tptp.kfst @t113)) % 0.51/0.92 (define @t178 () (= @t147 (_ (_ tptp.setadjoin @t171) (_ (_ tptp.setadjoin (_ @t170 (_ (_ tptp.setadjoin @t113) tptp.emptyset))) tptp.emptyset)))) % 0.51/0.92 (define @t179 () (@list @t4 @t12 @t86 @t113)) % 0.51/0.92 (define @t180 () (= @t150 (_ (_ tptp.kpair @t86) @t113))) % 0.51/0.92 (define @t181 () (= @t12 @t113)) % 0.51/0.92 (define @t182 () (_ tptp.kpair @t177)) % 0.51/0.92 (define @t183 () (= (_ tptp.ksnd @t150) @t12)) % 0.51/0.92 (define @t184 () (_ tptp.ksnd @t113)) % 0.51/0.92 (define @t185 () (= (_ @t182 @t184) @t113)) % 0.51/0.92 (define @t186 () (@list @t2 @t1 @t4 @t12)) % 0.51/0.92 (define @t187 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 0.51/0.92 (define @t188 () (_ @t154 (_ @t187 (lambda @t115 (_ (_ @t35 @t86) @t113))))) % 0.51/0.92 (define @t189 () (@list @t2 @t1 @t35 @t4)) % 0.51/0.92 (define @t190 () (_ @t187 (lambda @t51 @t37))) % 0.51/0.92 (define @t191 () (@list @t2 @t1 @t35)) % 0.51/0.92 (define @t192 () (_ (_ tptp.breln @t2) @t1)) % 0.51/0.92 (define @t193 () (=> @t188 @t37)) % 0.51/0.92 (define @t194 () (@list @t2 @t1 @t35 @t4 @t12)) % 0.51/0.92 (define @t195 () (@var "Xf" $$unsorted)) % 0.51/0.92 (define @t196 () (_ @t154 @t195)) % 0.51/0.92 (define @t197 () (_ @t117 (lambda @t36 @t196))) % 0.51/0.92 (define @t198 () (_ (_ tptp.func @t2) @t1)) % 0.51/0.92 (define @t199 () (_ @t198 @t195)) % 0.51/0.92 (define @t200 () (@list @t2 @t1 @t195)) % 0.51/0.92 (define @t201 () (_ (_ tptp.ap @t2) @t1)) % 0.51/0.92 (define @t202 () (_ (_ @t201 @t195) @t4)) % 0.51/0.92 (define @t203 () (forall @t8 (=> @t7 (_ (_ tptp.in @t202) @t1)))) % 0.51/0.92 (define @t204 () (_ (_ tptp.funcSet @t2) @t1)) % 0.51/0.92 (define @t205 () (_ (_ tptp.in @t195) @t204)) % 0.51/0.92 (define @t206 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.51/0.92 (define @t207 () (_ @t206 @t4)) % 0.51/0.92 (define @t208 () (forall @t8 (=> @t7 (_ (_ tptp.in @t207) @t1)))) % 0.51/0.92 (define @t209 () (@list @t2 @t1 @t206)) % 0.51/0.92 (define @t210 () (_ (_ tptp.lam @t2) @t1)) % 0.51/0.92 (define @t211 () (_ @t210 (lambda @t8 @t207))) % 0.51/0.92 (define @t212 () (@var "R" $$unsorted)) % 0.51/0.92 (define @t213 () (_ @t154 @t212)) % 0.51/0.92 (define @t214 () (_ @t192 @t212)) % 0.51/0.92 (define @t215 () (@list @t2 @t1 @t212)) % 0.51/0.92 (define @t216 () (forall @t215 (=> @t214 (forall @t57 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t213 (_ @t52 @t150)))))) (forall @t8 (=> (_ @t5 @t212) @t53))))))) % 0.51/0.92 (define @t217 () (forall @t8 (=> @t7 (_ (_ tptp.in (_ @t149 @t202)) @t195)))) % 0.51/0.92 (define @t218 () (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t196 (= @t202 @t12))))))) % 0.51/0.92 (define @t219 () (@var "Xg" $$unsorted)) % 0.51/0.92 (define @t220 () (forall @t8 (=> @t7 (= @t202 (_ (_ @t201 @t219) @t4))))) % 0.51/0.92 (define @t221 () (_ @t198 @t219)) % 0.51/0.92 (define @t222 () (@list @t219)) % 0.51/0.92 (define @t223 () (@var "S" $$unsorted)) % 0.51/0.92 (define @t224 () (_ @t154 @t223)) % 0.51/0.92 (define @t225 () (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t213 @t224)))))) % 0.51/0.92 (define @t226 () (_ @t192 @t223)) % 0.51/0.92 (define @t227 () (@list @t223)) % 0.51/0.92 (define @t228 () (=> @t220 (= @t195 @t219))) % 0.51/0.92 (define @t229 () (forall @t8 (=> @t7 (= @t202 @t202)))) % 0.51/0.92 (define @t230 () (forall @t209 (=> @t208 (forall @t8 (=> @t7 (= (_ (_ @t201 (_ @t210 (lambda @t36 (_ @t206 @t12)))) @t4) @t207)))))) % 0.51/0.92 (define @t231 () (= (_ @t210 (lambda @t8 @t202)) @t195)) % 0.51/0.92 (define @t232 () (not @t66)) % 0.51/0.92 (define @t233 () (_ @t60 (lambda (@list @t86) (or (and @t66 @t88) (and @t232 @t87))))) % 0.51/0.92 (define @t234 () (@list @t2 @t66 @t4)) % 0.51/0.92 (define @t235 () (_ (_ (_ (_ tptp.if @t2) @t66) @t4) @t12)) % 0.51/0.92 (define @t236 () (_ tptp.in @t235)) % 0.51/0.92 (define @t237 () (@var "Y" $$unsorted)) % 0.51/0.92 (define @t238 () (_ (_ tptp.binintersect @t160) @t237)) % 0.51/0.92 (define @t239 () (_ tptp.in @t238)) % 0.51/0.92 (define @t240 () (_ tptp.in @t237)) % 0.51/0.92 (define @t241 () (_ @t240 @t23)) % 0.51/0.92 (define @t242 () (@list @t237)) % 0.51/0.92 (define @t243 () (_ @t162 @t23)) % 0.51/0.92 (define @t244 () (@list @t2 @t160)) % 0.51/0.92 (define @t245 () (_ tptp.binunion @t160)) % 0.51/0.92 (define @t246 () (_ @t245 @t237)) % 0.51/0.92 (define @t247 () (_ @t139 @t160)) % 0.51/0.92 (define @t248 () (_ tptp.in @t247)) % 0.51/0.92 (define @t249 () (_ @t5 @t237)) % 0.51/0.92 (define @t250 () (=> @t161 @t249)) % 0.51/0.92 (define @t251 () (forall @t8 (=> @t7 @t250))) % 0.51/0.92 (define @t252 () (_ tptp.subset @t160)) % 0.51/0.92 (define @t253 () (_ @t252 @t237)) % 0.51/0.92 (define @t254 () (_ @t162 (_ tptp.powerset @t237))) % 0.51/0.92 (define @t255 () (_ @t5 @t247)) % 0.51/0.92 (define @t256 () (not @t255)) % 0.51/0.92 (define @t257 () (_ @t5 @t238)) % 0.51/0.92 (define @t258 () (not @t257)) % 0.51/0.92 (define @t259 () (not @t161)) % 0.51/0.92 (define @t260 () (not @t249)) % 0.51/0.92 (define @t261 () (_ @t139 @t237)) % 0.51/0.92 (define @t262 () (_ @t252 @t261)) % 0.51/0.92 (define @t263 () (_ (_ tptp.subset @t261) @t247)) % 0.51/0.92 (define @t264 () (_ @t139 @t247)) % 0.51/0.92 (define @t265 () (_ @t5 @t264)) % 0.51/0.92 (define @t266 () (_ @t139 @t238)) % 0.51/0.92 (define @t267 () (_ @t5 @t266)) % 0.51/0.92 (define @t268 () (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ @t248 (_ tptp.powerset @t266))))))) % 0.51/0.92 (define @t269 () (_ tptp.subset @t237)) % 0.51/0.92 (define @t270 () (_ @t269 @t247)) % 0.51/0.92 (define @t271 () (=> @t262 @t270)) % 0.51/0.92 (define @t272 () (forall @t242 (=> @t241 @t271))) % 0.51/0.92 (define @t273 () (=> @t243 @t272)) % 0.51/0.92 (define @t274 () (forall @t244 @t273)) % 0.51/0.92 (define @t275 () (= tptp.complementTcontraSubset @t274)) % 0.51/0.92 (define @t276 () (_ @t5 @t246)) % 0.51/0.92 (define @t277 () (not @t276)) % 0.51/0.92 (define @t278 () (@var "Z" $$unsorted)) % 0.51/0.92 (define @t279 () (_ @t245 @t278)) % 0.51/0.92 (define @t280 () (_ (_ tptp.in @t278) @t23)) % 0.51/0.92 (define @t281 () (@list @t278)) % 0.51/0.92 (define @t282 () (_ (_ tptp.binunion @t237) @t278)) % 0.51/0.92 (define @t283 () (_ (_ tptp.binintersect @t279) @t282)) % 0.51/0.92 (define @t284 () (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (_ @t239 (_ tptp.powerset @t283))))))))) % 0.51/0.92 (define @t285 () (_ @t139 @t246)) % 0.51/0.92 (define @t286 () (_ @t5 @t285)) % 0.51/0.92 (define @t287 () (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t286 @t255)))))))) % 0.51/0.92 (define @t288 () (_ @t5 @t261)) % 0.51/0.92 (define @t289 () (_ (_ tptp.binunion @t247) @t261)) % 0.51/0.92 (define @t290 () (_ @t5 @t289)) % 0.51/0.92 (define @t291 () (_ (_ tptp.binintersect @t247) @t261)) % 0.51/0.92 (define @t292 () (_ @t5 @t291)) % 0.51/0.92 (define @t293 () (_ tptp.subset @t238)) % 0.51/0.92 (define @t294 () (_ @t293 @t278)) % 0.51/0.92 (define @t295 () (_ @t252 @t278)) % 0.51/0.92 (define @t296 () (@var "W" $$unsorted)) % 0.51/0.92 (define @t297 () (_ (_ tptp.in @t296) @t23)) % 0.51/0.92 (define @t298 () (@list @t296)) % 0.51/0.92 (define @t299 () (=> tptp.woz1_3 @t274)) % 0.51/0.92 (define @t300 () (=> tptp.woz1_2 @t299)) % 0.51/0.92 (define @t301 () (=> tptp.woz1_1 @t300)) % 0.51/0.92 (define @t302 () (=> tptp.woz13rule4 @t301)) % 0.51/0.92 (define @t303 () (=> tptp.woz13rule3 @t302)) % 0.51/0.92 (define @t304 () (=> tptp.woz13rule2 @t303)) % 0.51/0.92 (define @t305 () (=> tptp.woz13rule1 @t304)) % 0.51/0.92 (define @t306 () (=> tptp.woz13rule0 @t305)) % 0.51/0.92 (define @t307 () (=> tptp.demorgan2 @t306)) % 0.51/0.92 (define @t308 () (=> tptp.demorgan2b @t307)) % 0.51/0.92 (define @t309 () (=> tptp.demorgan2b2 @t308)) % 0.51/0.92 (define @t310 () (=> tptp.demorgan2a @t309)) % 0.51/0.92 (define @t311 () (=> tptp.demorgan1 @t310)) % 0.51/0.92 (define @t312 () (=> tptp.demorgan1b @t311)) % 0.51/0.92 (define @t313 () (=> tptp.demorgan1a @t312)) % 0.51/0.92 (define @t314 () (=> tptp.demorgan2a2 @t313)) % 0.51/0.92 (define @t315 () (=> tptp.complementUnionInPowersetComplement @t314)) % 0.51/0.92 (define @t316 () (=> tptp.demorgan2a1 @t315)) % 0.51/0.92 (define @t317 () (=> tptp.binunionTEcontra @t316)) % 0.51/0.92 (define @t318 () (=> tptp.binunionTE @t317)) % 0.51/0.92 (define @t319 () (=> tptp.inComplementUnionImpInComplement1 @t318)) % 0.51/0.92 (define @t320 () (=> tptp.inComplementUnionImpNotIn1 @t319)) % 0.51/0.92 (define @t321 () (=> tptp.intersectInPowersetIntersectUnions @t320)) % 0.51/0.92 (define @t322 () (=> tptp.inIntersectImpInIntersectUnions @t321)) % 0.51/0.92 (define @t323 () (=> tptp.inIntersectImpInUnion2 @t322)) % 0.51/0.92 (define @t324 () (=> tptp.inIntersectImpInUnion @t323)) % 0.51/0.92 (define @t325 () (=> tptp.binunionTIRcontra @t324)) % 0.51/0.92 (define @t326 () (=> tptp.binunionTILcontra @t325)) % 0.51/0.92 (define @t327 () (=> tptp.complementTcontraSubset @t326)) % 0.51/0.92 (define @t328 () (=> tptp.contraSubsetComplement @t327)) % 0.51/0.92 (define @t329 () (=> tptp.complementInPowersetComplementIntersect @t328)) % 0.51/0.92 (define @t330 () (=> tptp.complementSubsetComplementIntersect @t329)) % 0.51/0.92 (define @t331 () (=> tptp.complementImpComplementIntersect @t330)) % 0.51/0.92 (define @t332 () (=> tptp.complementTnotintersectT @t331)) % 0.51/0.92 (define @t333 () (=> tptp.doubleComplementEq @t332)) % 0.51/0.92 (define @t334 () (=> tptp.doubleComplementSub2 @t333)) % 0.51/0.92 (define @t335 () (=> tptp.doubleComplementSub1 @t334)) % 0.51/0.92 (define @t336 () (=> tptp.doubleComplementE1 @t335)) % 0.51/0.92 (define @t337 () (=> tptp.doubleComplementI1 @t336)) % 0.51/0.92 (define @t338 () (=> tptp.contrasubsetT3 @t337)) % 0.51/0.92 (define @t339 () (=> tptp.contrasubsetT2 @t338)) % 0.51/0.92 (define @t340 () (=> tptp.contrasubsetT1 @t339)) % 0.51/0.92 (define @t341 () (=> tptp.contrasubsetT @t340)) % 0.51/0.92 (define @t342 () (=> tptp.binintersectTERcontra @t341)) % 0.51/0.92 (define @t343 () (=> tptp.binintersectTELcontra @t342)) % 0.51/0.92 (define @t344 () (=> tptp.complementTE1 @t343)) % 0.51/0.92 (define @t345 () (=> tptp.complementTI1 @t344)) % 0.51/0.92 (define @t346 () (=> tptp.powersetTE1 @t345)) % 0.51/0.92 (define @t347 () (=> tptp.powersetTI1 @t346)) % 0.51/0.92 (define @t348 () (=> tptp.subsetTI @t347)) % 0.51/0.92 (define @t349 () (=> tptp.setextT @t348)) % 0.51/0.92 (define @t350 () (=> tptp.complementT_lem @t349)) % 0.51/0.92 (define @t351 () (=> tptp.setminusT_lem @t350)) % 0.51/0.92 (define @t352 () (=> tptp.powersetT_lem @t351)) % 0.51/0.92 (define @t353 () (=> tptp.binunionT_lem @t352)) % 0.51/0.92 (define @t354 () (=> tptp.binintersectT_lem @t353)) % 0.51/0.92 (define @t355 () (=> tptp.iftrueorfalse @t354)) % 0.51/0.92 (define @t356 () (=> tptp.iffalse @t355)) % 0.51/0.92 (define @t357 () (=> tptp.iftrue @t356)) % 0.51/0.92 (define @t358 () (=> tptp.theeq @t357)) % 0.51/0.92 (define @t359 () (=> tptp.ifp @t358)) % 0.51/0.92 (define @t360 () (=> tptp.ifSingleton @t359)) % 0.51/0.92 (define @t361 () (=> tptp.iftrueProp2 @t360)) % 0.51/0.92 (define @t362 () (=> tptp.iftrueProp1 @t361)) % 0.51/0.92 (define @t363 () (=> tptp.iffalseProp2 @t362)) % 0.51/0.92 (define @t364 () (=> tptp.iffalseProp1 @t363)) % 0.51/0.92 (define @t365 () (=> tptp.eta2 @t364)) % 0.51/0.92 (define @t366 () (=> tptp.beta2 @t365)) % 0.51/0.92 (define @t367 () (=> tptp.lam2lamEq @t366)) % 0.51/0.92 (define @t368 () (=> tptp.eta1 @t367)) % 0.51/0.92 (define @t369 () (=> tptp.beta1 @t368)) % 0.51/0.92 (define @t370 () (=> tptp.ap2apEq2 @t369)) % 0.51/0.92 (define @t371 () (=> tptp.ap2apEq1 @t370)) % 0.51/0.92 (define @t372 () (=> tptp.funcext2 @t371)) % 0.51/0.92 (define @t373 () (=> tptp.funcext @t372)) % 0.51/0.92 (define @t374 () (=> tptp.eqbreln @t373)) % 0.51/0.92 (define @t375 () (=> tptp.subbreln @t374)) % 0.51/0.92 (define @t376 () (=> tptp.funcGraphProp4 @t375)) % 0.51/0.92 (define @t377 () (=> tptp.funcextLem @t376)) % 0.51/0.92 (define @t378 () (=> tptp.funcGraphProp2 @t377)) % 0.51/0.92 (define @t379 () (=> tptp.funcGraphProp3 @t378)) % 0.51/0.92 (define @t380 () (=> tptp.funcGraphProp1 @t379)) % 0.51/0.92 (define @t381 () (=> tptp.ex1E2 @t380)) % 0.51/0.92 (define @t382 () (=> tptp.brelnall2 @t381)) % 0.51/0.92 (define @t383 () (=> tptp.brelnall1 @t382)) % 0.51/0.92 (define @t384 () (=> tptp.lam2p @t383)) % 0.51/0.92 (define @t385 () (=> tptp.lamp @t384)) % 0.51/0.92 (define @t386 () (=> tptp.lamProp @t385)) % 0.51/0.92 (define @t387 () (=> tptp.funcinfuncset @t386)) % 0.51/0.92 (define @t388 () (=> tptp.ap2p @t387)) % 0.51/0.92 (define @t389 () (=> tptp.infuncsetfunc @t388)) % 0.51/0.92 (define @t390 () (=> tptp.app @t389)) % 0.51/0.92 (define @t391 () (=> tptp.apProp @t390)) % 0.51/0.92 (define @t392 () (=> tptp.funcImageSingleton @t391)) % 0.51/0.92 (define @t393 () (=> tptp.dpsetconstrER @t392)) % 0.51/0.92 (define @t394 () (=> tptp.dpsetconstrEL2 @t393)) % 0.51/0.92 (define @t395 () (=> tptp.dpsetconstrEL1 @t394)) % 0.51/0.92 (define @t396 () (=> tptp.dpsetconstrERa @t395)) % 0.51/0.92 (define @t397 () (=> tptp.setOfPairsIsBReln @t396)) % 0.51/0.92 (define @t398 () (=> tptp.dpsetconstrSub @t397)) % 0.51/0.92 (define @t399 () (=> tptp.dpsetconstrI @t398)) % 0.51/0.92 (define @t400 () (=> tptp.cartprodpairsurjEq @t399)) % 0.51/0.92 (define @t401 () (=> tptp.cartprodsndpairEq @t400)) % 0.51/0.92 (define @t402 () (=> tptp.cartprodfstpairEq @t401)) % 0.51/0.92 (define @t403 () (=> tptp.cartprodmempaircEq @t402)) % 0.51/0.92 (define @t404 () (=> tptp.cartprodpairmemER @t403)) % 0.51/0.92 (define @t405 () (=> tptp.cartprodpairmemEL @t404)) % 0.51/0.92 (define @t406 () (=> tptp.cartprodsndin @t405)) % 0.51/0.92 (define @t407 () (=> tptp.kpairsurjEq @t406)) % 0.51/0.92 (define @t408 () (=> tptp.ksndpairEq @t407)) % 0.51/0.92 (define @t409 () (=> tptp.ksndsingleton @t408)) % 0.51/0.92 (define @t410 () (=> tptp.setukpairinjR @t409)) % 0.51/0.92 (define @t411 () (=> tptp.setukpairinjR2 @t410)) % 0.51/0.92 (define @t412 () (=> tptp.upairequniteq @t411)) % 0.51/0.92 (define @t413 () (=> tptp.setukpairinjR1 @t412)) % 0.51/0.92 (define @t414 () (=> tptp.setukpairinjR12 @t413)) % 0.51/0.92 (define @t415 () (=> tptp.setukpairinjR11 @t414)) % 0.51/0.92 (define @t416 () (=> tptp.setukpairinjL @t415)) % 0.51/0.92 (define @t417 () (=> tptp.setukpairinjL2 @t416)) % 0.51/0.92 (define @t418 () (=> tptp.cartprodfstin @t417)) % 0.51/0.92 (define @t419 () (=> tptp.kfstpairEq @t418)) % 0.51/0.92 (define @t420 () (=> tptp.theprop @t419)) % 0.51/0.92 (define @t421 () (=> tptp.kfstsingleton @t420)) % 0.51/0.92 (define @t422 () (=> tptp.setukpairinjL1 @t421)) % 0.51/0.92 (define @t423 () (=> tptp.singletonsuniq @t422)) % 0.51/0.92 (define @t424 () (=> tptp.ex1I2 @t423)) % 0.51/0.92 (define @t425 () (=> tptp.ex1I @t424)) % 0.51/0.92 (define @t426 () (=> tptp.ex1E1 @t425)) % 0.51/0.92 (define @t427 () (=> tptp.singletonprop @t426)) % 0.51/0.92 (define @t428 () (=> tptp.setunionsingleton @t427)) % 0.51/0.92 (define @t429 () (=> tptp.setunionsingleton2 @t428)) % 0.51/0.92 (define @t430 () (=> tptp.setunionsingleton1 @t429)) % 0.51/0.92 (define @t431 () (=> tptp.setunionE2 @t430)) % 0.51/0.92 (define @t432 () (=> tptp.cartprodmempair @t431)) % 0.51/0.92 (define @t433 () (=> tptp.cartprodmempair1 @t432)) % 0.51/0.92 (define @t434 () (=> tptp.cartprodpairin @t433)) % 0.51/0.92 (define @t435 () (=> tptp.ubforcartprodlem3 @t434)) % 0.51/0.92 (define @t436 () (=> tptp.ubforcartprodlem2 @t435)) % 0.51/0.92 (define @t437 () (=> tptp.ubforcartprodlem1 @t436)) % 0.51/0.92 (define @t438 () (=> tptp.upairinpowunion @t437)) % 0.51/0.92 (define @t439 () (=> tptp.upairsubunion @t438)) % 0.51/0.92 (define @t440 () (=> tptp.upairset2E @t439)) % 0.51/0.92 (define @t441 () (=> tptp.singletoninpowunion @t440)) % 0.51/0.92 (define @t442 () (=> tptp.singletoninpowerset @t441)) % 0.51/0.92 (define @t443 () (=> tptp.singletonsubset @t442)) % 0.51/0.92 (define @t444 () (=> tptp.kpairp @t443)) % 0.51/0.92 (define @t445 () (=> tptp.kpairiskpair @t444)) % 0.51/0.92 (define @t446 () (=> tptp.setukpairIR @t445)) % 0.51/0.92 (define @t447 () (=> tptp.setukpairIL @t446)) % 0.51/0.92 (define @t448 () (=> tptp.secondinupair @t447)) % 0.51/0.92 (define @t449 () (=> tptp.symdiffIneg2 @t448)) % 0.51/0.92 (define @t450 () (=> tptp.symdiffIneg1 @t449)) % 0.51/0.92 (define @t451 () (=> tptp.symdiffI2 @t450)) % 0.51/0.92 (define @t452 () (=> tptp.symdiffI1 @t451)) % 0.51/0.92 (define @t453 () (=> tptp.symdiffE @t452)) % 0.51/0.92 (define @t454 () (=> tptp.setminusSubset1 @t453)) % 0.51/0.92 (define @t455 () (=> tptp.setminusLsub @t454)) % 0.51/0.92 (define @t456 () (=> tptp.setminusIRneg @t455)) % 0.51/0.92 (define @t457 () (=> tptp.setminusILneg @t456)) % 0.51/0.92 (define @t458 () (=> tptp.setminusELneg @t457)) % 0.51/0.92 (define @t459 () (=> tptp.setminusERneg @t458)) % 0.51/0.92 (define @t460 () (=> tptp.setminusSubset2 @t459)) % 0.51/0.92 (define @t461 () (=> tptp.setminusER @t460)) % 0.51/0.92 (define @t462 () (=> tptp.setminusEL @t461)) % 0.51/0.92 (define @t463 () (=> tptp.setminusI @t462)) % 0.51/0.92 (define @t464 () (=> tptp.bs114d @t463)) % 0.51/0.92 (define @t465 () (=> tptp.binintersectSubset1 @t464)) % 0.51/0.92 (define @t466 () (=> tptp.binintersectSubset4 @t465)) % 0.51/0.92 (define @t467 () (=> tptp.binintersectRsub @t466)) % 0.51/0.92 (define @t468 () (=> tptp.disjointsetsI1 @t467)) % 0.51/0.92 (define @t469 () (=> tptp.binintersectER @t468)) % 0.51/0.92 (define @t470 () (=> tptp.binintersectSubset3 @t469)) % 0.51/0.92 (define @t471 () (=> tptp.binintersectSubset2 @t470)) % 0.51/0.92 (define @t472 () (=> tptp.binintersectLsub @t471)) % 0.51/0.92 (define @t473 () (=> tptp.binintersectEL @t472)) % 0.51/0.92 (define @t474 () (=> tptp.binintersectSubset5 @t473)) % 0.51/0.92 (define @t475 () (=> tptp.binintersectI @t474)) % 0.51/0.92 (define @t476 () (=> tptp.binunionRsub @t475)) % 0.51/0.92 (define @t477 () (=> tptp.binunionLsub @t476)) % 0.51/0.92 (define @t478 () (=> tptp.binunionE @t477)) % 0.51/0.92 (define @t479 () (=> tptp.binunionEcases @t478)) % 0.51/0.92 (define @t480 () (=> tptp.binunionIR @t479)) % 0.51/0.92 (define @t481 () (=> tptp.upairset2IR @t480)) % 0.51/0.92 (define @t482 () (=> tptp.binunionIL @t481)) % 0.51/0.92 (define @t483 () (=> tptp.sepSubset @t482)) % 0.51/0.92 (define @t484 () (=> tptp.sepInPowerset @t483)) % 0.51/0.92 (define @t485 () (=> tptp.powersetsubset @t484)) % 0.51/0.92 (define @t486 () (=> tptp.inPowerset @t485)) % 0.51/0.92 (define @t487 () (=> tptp.powersetE1 @t486)) % 0.51/0.92 (define @t488 () (=> tptp.powersetI1 @t487)) % 0.51/0.92 (define @t489 () (=> tptp.subsetemptysetimpeq @t488)) % 0.51/0.92 (define @t490 () (=> tptp.setextsub @t489)) % 0.51/0.92 (define @t491 () (=> tptp.subset2powerset @t490)) % 0.51/0.92 (define @t492 () (=> tptp.setadjoinSub2 @t491)) % 0.51/0.92 (define @t493 () (=> tptp.setadjoinSub @t492)) % 0.51/0.92 (define @t494 () (=> tptp.subsetTrans @t493)) % 0.51/0.92 (define @t495 () (=> tptp.subsetRefl @t494)) % 0.51/0.92 (define @t496 () (=> tptp.notequalI2 @t495)) % 0.51/0.92 (define @t497 () (=> tptp.notequalI1 @t496)) % 0.51/0.92 (define @t498 () (=> tptp.notsubsetI @t497)) % 0.51/0.92 (define @t499 () (=> tptp.subsetE2 @t498)) % 0.51/0.92 (define @t500 () (=> tptp.subsetE @t499)) % 0.51/0.92 (define @t501 () (=> tptp.emptysetsubset @t500)) % 0.51/0.92 (define @t502 () (=> tptp.subsetI2 @t501)) % 0.51/0.92 (define @t503 () (=> tptp.eqimpsubset1 @t502)) % 0.51/0.92 (define @t504 () (=> tptp.eqimpsubset2 @t503)) % 0.51/0.92 (define @t505 () (=> tptp.subsetI1 @t504)) % 0.51/0.92 (define @t506 () (=> tptp.dsetconstr__Cong @t505)) % 0.51/0.92 (define @t507 () (=> tptp.descr__Cong @t506)) % 0.51/0.92 (define @t508 () (=> tptp.exuEu @t507)) % 0.51/0.92 (define @t509 () (=> tptp.omega__Cong @t508)) % 0.51/0.92 (define @t510 () (=> tptp.setunion__Cong @t509)) % 0.51/0.92 (define @t511 () (=> tptp.powerset__Cong @t510)) % 0.51/0.92 (define @t512 () (=> tptp.setadjoin__Cong @t511)) % 0.51/0.92 (define @t513 () (=> tptp.emptyset__Cong @t512)) % 0.51/0.92 (define @t514 () (=> tptp.exu__Cong @t513)) % 0.51/0.92 (define @t515 () (=> tptp.exuE3u @t514)) % 0.51/0.92 (define @t516 () (=> tptp.in__Cong @t515)) % 0.51/0.92 (define @t517 () (=> tptp.inCongP @t516)) % 0.51/0.92 (define @t518 () (=> tptp.exuI2 @t517)) % 0.51/0.92 (define @t519 () (=> tptp.exuI3 @t518)) % 0.51/0.92 (define @t520 () (=> tptp.exuI1 @t519)) % 0.51/0.92 (define @t521 () (=> tptp.notdallE @t520)) % 0.51/0.92 (define @t522 () (=> tptp.notdexE @t521)) % 0.51/0.92 (define @t523 () (=> tptp.prop2set2propI @t522)) % 0.51/0.92 (define @t524 () (=> tptp.prop2setI @t523)) % 0.51/0.92 (define @t525 () (=> tptp.quantDeMorgan4 @t524)) % 0.51/0.92 (define @t526 () (=> tptp.quantDeMorgan3 @t525)) % 0.51/0.92 (define @t527 () (=> tptp.quantDeMorgan2 @t526)) % 0.51/0.92 (define @t528 () (=> tptp.quantDeMorgan1 @t527)) % 0.51/0.92 (define @t529 () (=> tptp.vacuousDall @t528)) % 0.51/0.92 (define @t530 () (=> tptp.emptyE1 @t529)) % 0.51/0.92 (define @t531 () (=> tptp.upairsetIR @t530)) % 0.51/0.92 (define @t532 () (=> tptp.upairsetIL @t531)) % 0.51/0.92 (define @t533 () (=> tptp.upairsetE @t532)) % 0.51/0.92 (define @t534 () (=> tptp.singletonsswitch @t533)) % 0.51/0.92 (define @t535 () (=> tptp.eqinunit @t534)) % 0.51/0.92 (define @t536 () (=> tptp.notinsingleton @t535)) % 0.51/0.92 (define @t537 () (=> tptp.uniqinunit @t536)) % 0.51/0.92 (define @t538 () (=> tptp.nonemptyImpWitness @t537)) % 0.51/0.92 (define @t539 () (=> tptp.exuE2 @t538)) % 0.51/0.92 (define @t540 () (=> tptp.subPowSU @t539)) % 0.51/0.92 (define @t541 () (=> tptp.setunionE @t540)) % 0.51/0.92 (define @t542 () (=> tptp.setunionI @t541)) % 0.51/0.92 (define @t543 () (=> tptp.powersetE @t542)) % 0.51/0.92 (define @t544 () (=> tptp.emptyInPowerset @t543)) % 0.51/0.92 (define @t545 () (=> tptp.emptyinPowerset @t544)) % 0.51/0.92 (define @t546 () (=> tptp.powersetI @t545)) % 0.51/0.92 (define @t547 () (=> tptp.setoftrueEq @t546)) % 0.51/0.92 (define @t548 () (=> tptp.setadjoinOr @t547)) % 0.51/0.92 (define @t549 () (=> tptp.setadjoinE @t548)) % 0.51/0.92 (define @t550 () (=> tptp.setadjoinIR @t549)) % 0.51/0.92 (define @t551 () (=> tptp.emptyinunitempty @t550)) % 0.51/0.92 (define @t552 () (=> tptp.setadjoinIL @t551)) % 0.51/0.92 (define @t553 () (=> tptp.nonemptyI1 @t552)) % 0.51/0.92 (define @t554 () (=> tptp.nonemptyI @t553)) % 0.51/0.92 (define @t555 () (=> tptp.nonemptyE1 @t554)) % 0.51/0.92 (define @t556 () (=> tptp.setbeta @t555)) % 0.51/0.92 (define @t557 () (=> tptp.noeltsimpempty @t556)) % 0.51/0.92 (define @t558 () (=> tptp.emptyI @t557)) % 0.51/0.92 (define @t559 () (=> tptp.setext @t558)) % 0.51/0.92 (define @t560 () (=> tptp.exuE3e @t559)) % 0.51/0.92 (define @t561 () (=> tptp.notinemptyset @t560)) % 0.51/0.92 (define @t562 () (=> tptp.emptysetimpfalse @t561)) % 0.51/0.92 (define @t563 () (=> tptp.emptysetE @t562)) % 0.51/0.92 (define @t564 () (=> tptp.prop2setE @t563)) % 0.51/0.92 (define @t565 () (=> tptp.exuE1 @t564)) % 0.51/0.92 (define @t566 () (=> tptp.dsetconstrER @t565)) % 0.51/0.92 (define @t567 () (=> tptp.dsetconstrEL @t566)) % 0.51/0.92 (define @t568 () (=> tptp.dsetconstrI @t567)) % 0.51/0.92 (define @t569 () (=> tptp.descrp @t568)) % 0.51/0.92 (define @t570 () (=> tptp.wellorderingAx @t569)) % 0.51/0.92 (define @t571 () (=> tptp.foundationAx @t570)) % 0.51/0.92 (define @t572 () (=> tptp.replAx @t571)) % 0.51/0.92 (define @t573 () (=> tptp.omegaIndAx @t572)) % 0.51/0.92 (define @t574 () (=> tptp.omegaSAx @t573)) % 0.51/0.92 (define @t575 () (=> tptp.omega0Ax @t574)) % 0.51/0.92 (define @t576 () (=> tptp.setunionAx @t575)) % 0.51/0.92 (define @t577 () (=> tptp.powersetAx @t576)) % 0.51/0.92 (define @t578 () (=> tptp.setadjoinAx @t577)) % 0.51/0.92 (define @t579 () (=> tptp.emptysetAx @t578)) % 0.51/0.92 (define @t580 () (=> tptp.setextAx @t579)) % 0.51/0.92 (define @t581 () (not @t580)) % 0.51/0.92 (define @t582 () (lambda @t57 @t65)) % 0.51/0.92 (define @t583 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.51/0.92 (define @t584 () (lambda @t95 @t165)) % 0.51/0.92 (define @t585 () (lambda @t127 (_ @t135 @t155))) % 0.51/0.92 (define @t586 () (tptp.setminus @t2 @t160)) % 0.51/0.92 (define @t587 () (@var "BOUND_VARIABLE_14914" $$unsorted)) % 0.51/0.92 (define @t588 () (tptp.subset @t587 @t586)) % 0.51/0.92 (define @t589 () (not (tptp.subset @t160 (tptp.setminus @t2 @t587)))) % 0.51/0.92 (define @t590 () (tptp.powerset @t2)) % 0.51/0.92 (define @t591 () (not (tptp.in @t587 @t590))) % 0.51/0.92 (define @t592 () (tptp.in @t160 @t590)) % 0.51/0.92 (define @t593 () (not @t592)) % 0.51/0.92 (define @t594 () (or @t593 @t591 @t589 @t588)) % 0.51/0.92 (define @t595 () (or @t591 @t589 @t588)) % 0.51/0.92 (define @t596 () (or @t593 @t595)) % 0.51/0.92 (define @t597 () (@list @t2 @t160 @t587)) % 0.51/0.92 (define @t598 () (forall @t597 @t596)) % 0.51/0.92 (define @t599 () (@list @t587)) % 0.51/0.92 (define @t600 () (forall @t599 @t596)) % 0.51/0.92 (define @t601 () (forall @t599 @t595)) % 0.51/0.92 (define @t602 () (or @t593 @t601)) % 0.51/0.92 (define @t603 () (tptp.subset @t237 @t586)) % 0.51/0.92 (define @t604 () (tptp.setminus @t2 @t237)) % 0.51/0.92 (define @t605 () (tptp.subset @t160 @t604)) % 0.51/0.92 (define @t606 () (tptp.in @t237 @t590)) % 0.51/0.92 (define @t607 () (forall @t242 (or (not @t606) (not @t605) @t603))) % 0.51/0.92 (define @t608 () (not @t243)) % 0.51/0.92 (define @t609 () (or @t608 @t607)) % 0.51/0.92 (define @t610 () (not @t262)) % 0.51/0.92 (define @t611 () (not @t241)) % 0.51/0.92 (define @t612 () (or @t611 @t610 @t270)) % 0.51/0.92 (define @t613 () (forall @t597 @t594)) % 0.51/0.92 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.51/0.92 (assume @p2 (= tptp.emptysetAx @t11)) % 0.51/0.92 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.51/0.92 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.51/0.92 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.51/0.92 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.51/0.92 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.51/0.92 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.51/0.92 (assume @p9 (= tptp.replAx (forall (@list @t35 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t36 @t37)))) (exists @t27 (forall @t8 (= @t6 (exists @t36 (and @t14 (_ (_ @t35 @t12) @t4)))))))))) % 0.51/0.92 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t38 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.51/0.92 (assume @p11 (= tptp.wellorderingAx (forall @t34 (exists @t27 (and (forall @t47 (=> @t49 @t46)) (forall @t51 (=> (and @t7 @t14) (=> (forall @t47 (=> @t49 (= @t44 @t43))) @t50))) (forall (@list @t42 @t40) (=> (and @t49 @t45) (or (forall @t8 (=> @t44 @t48)) (forall @t8 (=> @t48 @t44))))) (forall @t47 (=> (and @t46 (exists @t8 @t44)) (exists (@list @t40 @t4) (and @t45 @t44 (not (exists @t36 (and @t41 @t43))) (forall (@list @t39) (=> (_ (_ tptp.in @t39) @t1) (or (forall @t36 (=> (_ @t13 @t39) @t41)) (_ @t5 @t39))))))))))))) % 0.51/0.92 (assume @p12 (= tptp.descrp (forall @t57 (=> @t56 (_ @t52 @t55))))) % 0.51/0.92 (assume @p13 (= tptp.dsetconstrI (forall @t63 (=> @t7 (=> @t53 @t62))))) % 0.51/0.92 (assume @p14 (= tptp.dsetconstrEL (forall @t63 (=> @t62 @t7)))) % 0.51/0.92 (assume @p15 (= tptp.dsetconstrER (forall @t63 (=> @t62 @t53)))) % 0.51/0.92 (assume @p16 (= tptp.exuE1 (forall @t57 (=> @t56 @t65)))) % 0.51/0.92 (assume @p17 (= tptp.prop2setE (forall @t68 (=> (_ @t5 @t67) @t66)))) % 0.51/0.92 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t69 @t66))))) % 0.51/0.92 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.51/0.92 (assume @p20 (= tptp.notinemptyset @t11)) % 0.51/0.92 (assume @p21 (= tptp.exuE3e (forall @t57 (=> @t56 @t70)))) % 0.51/0.92 (assume @p22 (= tptp.setext (forall @t9 (=> @t72 (=> @t22 @t3))))) % 0.51/0.92 (assume @p23 (= tptp.emptyI @t75)) % 0.51/0.92 (assume @p24 (= tptp.noeltsimpempty @t75)) % 0.51/0.92 (assume @p25 (= tptp.setbeta (forall @t63 (=> @t7 (= @t62 @t53))))) % 0.51/0.92 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t76 @t38)))) % 0.51/0.92 (assume @p27 (= tptp.nonemptyI (forall @t63 (=> @t7 (=> @t53 (_ tptp.nonempty @t61)))))) % 0.51/0.92 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t38 @t76)))) % 0.51/0.92 (assume @p29 (= tptp.setadjoinIL (forall @t51 (_ @t5 (_ @t17 @t12))))) % 0.51/0.92 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.51/0.92 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.51/0.92 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t69 (=> (=> @t15 @t66) (=> (=> @t14 @t66) @t66))))))) % 0.51/0.92 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.51/0.92 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t60 (lambda @t8 true)) @t2)))) % 0.51/0.92 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.51/0.92 (assume @p36 (= tptp.emptyinPowerset @t77)) % 0.51/0.92 (assume @p37 (= tptp.emptyInPowerset @t77)) % 0.51/0.92 (assume @p38 (= tptp.powersetE (forall @t78 (=> @t25 @t21)))) % 0.51/0.92 (assume @p39 (= tptp.setunionI (forall @t79 (=> @t6 (=> @t26 @t29))))) % 0.51/0.92 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t69 (=> (forall @t27 (=> @t6 (=> @t26 @t66))) @t66)))))) % 0.51/0.92 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.51/0.92 (assume @p42 (= tptp.exuE2 (forall @t57 (=> @t56 @t80)))) % 0.51/0.92 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t76 (exists @t8 (and @t7 true)))))) % 0.51/0.92 (assume @p44 (= tptp.uniqinunit (forall @t51 (=> @t83 @t50)))) % 0.51/0.92 (assume @p45 (= tptp.notinsingleton (forall @t51 (=> (not @t50) (not @t85))))) % 0.51/0.92 (assume @p46 (= tptp.eqinunit (forall @t51 (=> @t50 @t83)))) % 0.51/0.92 (assume @p47 (= tptp.singletonsswitch (forall @t51 (=> @t83 @t85)))) % 0.51/0.92 (assume @p48 (= tptp.upairsetE @t91)) % 0.51/0.92 (assume @p49 (= tptp.upairsetIL (forall @t51 (_ @t5 @t89)))) % 0.51/0.92 (assume @p50 (= tptp.upairsetIR @t92)) % 0.51/0.92 (assume @p51 (= tptp.emptyE1 (forall @t95 (=> @t94 (=> (= @t93 tptp.emptyset) false))))) % 0.51/0.92 (assume @p52 (= tptp.vacuousDall (forall (@list @t52 @t4) (=> @t10 @t53)))) % 0.51/0.92 (assume @p53 (= tptp.quantDeMorgan1 @t99)) % 0.51/0.92 (assume @p54 (= tptp.quantDeMorgan2 (forall @t95 (=> @t101 @t100)))) % 0.51/0.92 (assume @p55 (= tptp.quantDeMorgan3 @t102)) % 0.51/0.92 (assume @p56 (= tptp.quantDeMorgan4 (forall @t95 (=> @t97 @t98)))) % 0.51/0.92 (assume @p57 (= tptp.prop2setI (forall @t69 (=> @t66 (_ @t31 @t67))))) % 0.51/0.92 (assume @p58 (= tptp.prop2set2propI (forall @t69 (=> @t66 (_ tptp.set2prop @t67))))) % 0.51/0.92 (assume @p59 (= tptp.notdexE @t102)) % 0.51/0.92 (assume @p60 (= tptp.notdallE @t99)) % 0.51/0.92 (assume @p61 (= tptp.exuI1 (forall @t57 (=> @t65 @t56)))) % 0.51/0.92 (assume @p62 (= tptp.exuI3 (forall @t57 (=> @t70 (=> @t104 @t56))))) % 0.51/0.92 (assume @p63 (= tptp.exuI2 (forall @t57 (=> @t80 @t56)))) % 0.51/0.92 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t51 (=> @t50 (=> @t7 @t105))))))) % 0.51/0.92 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t51 (=> @t50 (= @t7 @t105))))))) % 0.51/0.92 (assume @p66 (= tptp.exuE3u @t106)) % 0.51/0.92 (assume @p67 (= tptp.exu__Cong (forall @t112 (=> @t111 (= @t56 @t109))))) % 0.51/0.92 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.51/0.92 (assume @p69 (= tptp.setadjoin__Cong (forall @t51 (=> @t50 (forall @t115 (=> @t114 (= (_ @t17 @t86) (_ @t81 @t113)))))))) % 0.51/0.92 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t116))))) % 0.51/0.92 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.51/0.92 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.51/0.92 (assume @p73 (= tptp.exuEu @t106)) % 0.51/0.92 (assume @p74 (= tptp.descr__Cong (forall @t112 (=> @t111 (=> @t56 (=> @t109 (= @t55 (_ tptp.descr @t108)))))))) % 0.51/0.92 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t112 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 @t110)))) (= @t93 (_ @t117 @t108)))))))) % 0.51/0.92 (assume @p76 (= tptp.subsetI1 @t120)) % 0.51/0.92 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t122)))) % 0.51/0.92 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t119)))) % 0.51/0.92 (assume @p79 (= tptp.subsetI2 @t120)) % 0.51/0.92 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.51/0.92 (assume @p81 (= tptp.subsetE (forall @t78 (=> @t119 @t71)))) % 0.51/0.92 (assume @p82 (= tptp.subsetE2 (forall @t78 (=> @t119 @t124)))) % 0.51/0.92 (assume @p83 (= tptp.notsubsetI (forall @t78 (=> @t7 (=> @t123 @t125))))) % 0.51/0.92 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t125 @t126)))) % 0.51/0.92 (assume @p85 (= tptp.notequalI2 (forall @t78 (=> @t7 (=> @t123 @t126))))) % 0.51/0.92 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t118 @t2)))) % 0.51/0.92 (assume @p87 (= tptp.subsetTrans (forall @t127 (=> @t119 (=> (_ @t121 @t42) (_ @t118 @t42)))))) % 0.51/0.92 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t118 @t18)))) % 0.51/0.92 (assume @p89 (= tptp.setadjoinSub2 (forall @t79 (=> @t119 (_ @t118 (_ @t17 @t1)))))) % 0.51/0.92 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t119 (_ @t128 @t116))))) % 0.51/0.92 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t119 (=> @t122 @t3))))) % 0.51/0.92 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t118 tptp.emptyset) @t73)))) % 0.51/0.92 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t122 @t25)))) % 0.51/0.92 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t122)))) % 0.51/0.92 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t128 @t23)))) % 0.51/0.92 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t119 (_ (_ tptp.subset @t23) @t116))))) % 0.51/0.92 (assume @p97 (= tptp.sepInPowerset (forall @t95 (_ (_ tptp.in @t93) @t23)))) % 0.51/0.92 (assume @p98 (= tptp.sepSubset (forall @t95 (_ (_ tptp.subset @t93) @t2)))) % 0.51/0.92 (assume @p99 (= tptp.binunionIL (forall @t78 (=> @t7 @t130)))) % 0.51/0.92 (assume @p100 (= tptp.upairset2IR @t92)) % 0.51/0.92 (assume @p101 (= tptp.binunionIR (forall @t78 (=> @t6 @t130)))) % 0.51/0.92 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t66) (=> @t130 (=> (=> @t7 @t66) (=> @t131 @t66)))))) % 0.51/0.92 (assume @p103 (= tptp.binunionE (forall @t78 (=> @t130 (or @t7 @t6))))) % 0.51/0.92 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t118 @t129)))) % 0.51/0.92 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t121 @t129)))) % 0.51/0.92 (assume @p106 (= tptp.binintersectI (forall @t78 (=> @t7 (=> @t6 @t134))))) % 0.51/0.92 (assume @p107 (= tptp.binintersectSubset5 (forall @t127 (=> (_ @t135 @t2) (=> (_ @t135 @t1) (_ @t135 @t133)))))) % 0.51/0.92 (assume @p108 (= tptp.binintersectEL (forall @t78 (=> @t134 @t7)))) % 0.51/0.92 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t136 @t2)))) % 0.51/0.92 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t119 @t137)))) % 0.51/0.92 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t138 @t122)))) % 0.51/0.92 (assume @p112 (= tptp.binintersectER (forall @t78 (=> @t134 @t6)))) % 0.51/0.92 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t133 tptp.emptyset))))) % 0.51/0.92 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t136 @t1)))) % 0.51/0.92 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t122 @t138)))) % 0.51/0.92 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t137 @t119)))) % 0.51/0.92 (assume @p117 (= tptp.bs114d (forall @t127 (= (_ @t132 (_ (_ tptp.binunion @t1) @t42)) (_ (_ tptp.binunion @t133) (_ @t132 @t42)))))) % 0.51/0.92 (assume @p118 (= tptp.setminusI (forall @t78 (=> @t7 (=> @t123 @t141))))) % 0.51/0.92 (assume @p119 (= tptp.setminusEL (forall @t78 (=> @t141 @t7)))) % 0.51/0.92 (assume @p120 (= tptp.setminusER (forall @t78 (=> @t141 @t123)))) % 0.51/0.92 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t119 @t142)))) % 0.51/0.92 (assume @p122 (= tptp.setminusERneg (forall @t78 (=> @t143 @t71)))) % 0.51/0.92 (assume @p123 (= tptp.setminusELneg (forall @t78 (=> @t143 @t124)))) % 0.51/0.92 (assume @p124 (= tptp.setminusILneg (forall @t78 (=> @t74 @t143)))) % 0.51/0.92 (assume @p125 (= tptp.setminusIRneg (forall @t78 (=> @t6 @t143)))) % 0.51/0.92 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t140) @t2)))) % 0.51/0.92 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t142 @t119)))) % 0.51/0.92 (assume @p128 (= tptp.symdiffE (forall @t78 (=> @t144 (forall @t69 (=> (=> @t7 (=> @t123 @t66)) (=> (=> @t74 @t131) @t66))))))) % 0.51/0.92 (assume @p129 (= tptp.symdiffI1 (forall @t78 (=> @t7 (=> @t123 @t144))))) % 0.51/0.92 (assume @p130 (= tptp.symdiffI2 (forall @t78 (=> @t74 (=> @t6 @t144))))) % 0.51/0.92 (assume @p131 (= tptp.symdiffIneg1 (forall @t78 (=> @t7 (=> @t6 @t145))))) % 0.51/0.92 (assume @p132 (= tptp.symdiffIneg2 (forall @t78 (=> @t74 (=> @t123 @t145))))) % 0.51/0.92 (assume @p133 (= tptp.secondinupair @t92)) % 0.51/0.92 (assume @p134 (= tptp.setukpairIL (forall @t51 (_ @t5 @t148)))) % 0.51/0.92 (assume @p135 (= tptp.setukpairIR (forall @t51 (_ @t13 @t148)))) % 0.51/0.92 (assume @p136 (= tptp.kpairiskpair (forall @t51 (_ tptp.iskpair @t147)))) % 0.51/0.92 (assume @p137 (= tptp.kpairp (forall @t51 (_ tptp.iskpair @t150)))) % 0.51/0.92 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t84) @t2))))) % 0.51/0.92 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t151 @t23))))) % 0.51/0.92 (assume @p140 (= tptp.singletoninpowunion (forall @t78 (=> @t7 (_ @t151 @t152))))) % 0.51/0.92 (assume @p141 (= tptp.upairset2E @t91)) % 0.51/0.92 (assume @p142 (= tptp.upairsubunion (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.subset @t89) @t129))))))) % 0.51/0.92 (assume @p143 (= tptp.upairinpowunion (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.in @t89) @t152))))))) % 0.51/0.92 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.subset @t147) @t152))))))) % 0.51/0.92 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.in @t147) @t153))))))) % 0.51/0.92 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ @t154 @t153))))))) % 0.51/0.92 (assume @p147 (= tptp.cartprodpairin (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t156)))))) % 0.51/0.92 (assume @p148 (= tptp.cartprodmempair1 (forall @t158 (=> @t157 (exists @t8 (and @t7 (exists @t36 (and @t105 (= @t113 @t150))))))))) % 0.51/0.92 (assume @p149 (= tptp.cartprodmempair (forall @t158 (=> @t157 @t159)))) % 0.51/0.92 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t163 (and (_ @t162 @t2) @t161)))))) % 0.51/0.92 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t164) @t2)))) % 0.51/0.92 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t118 @t164)))) % 0.51/0.92 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t84) @t4)))) % 0.51/0.92 (assume @p154 (= tptp.singletonprop (forall @t95 (=> @t166 (=> @t94 @t165))))) % 0.51/0.92 (assume @p155 (= tptp.ex1E1 (forall @t95 (=> @t168 @t94)))) % 0.51/0.92 (assume @p156 (= tptp.ex1I (forall @t63 (=> @t7 (=> @t53 (=> (forall @t36 (=> @t14 (=> @t58 @t15))) (_ @t167 @t59))))))) % 0.51/0.92 (assume @p157 (= tptp.ex1I2 (forall @t95 (=> @t166 (=> @t94 @t168))))) % 0.51/0.92 (assume @p158 (= tptp.singletonsuniq (forall @t51 (=> (= @t84 @t82) @t50)))) % 0.51/0.92 (assume @p159 (= tptp.setukpairinjL1 (forall @t90 (=> (_ (_ tptp.in @t171) @t147) @t169)))) % 0.51/0.92 (assume @p160 (= tptp.kfstsingleton (forall @t173 (=> @t159 (_ tptp.singleton (_ @t172 (lambda @t8 (_ @t151 @t113)))))))) % 0.51/0.92 (assume @p161 (= tptp.theprop (forall @t163 (=> @t175 (_ (_ tptp.in @t174) @t160))))) % 0.51/0.92 (assume @p162 (= tptp.kfstpairEq (forall @t51 @t176))) % 0.51/0.92 (assume @p163 (= tptp.cartprodfstin (forall @t158 (=> @t157 (_ (_ tptp.in @t177) @t2))))) % 0.51/0.92 (assume @p164 (= tptp.setukpairinjL2 (forall @t179 (=> @t178 @t169)))) % 0.51/0.92 (assume @p165 (= tptp.setukpairinjL (forall @t179 (=> @t180 @t169)))) % 0.51/0.92 (assume @p166 (= tptp.setukpairinjR11 (forall @t51 (=> @t50 (= @t89 @t84))))) % 0.51/0.92 (assume @p167 (= tptp.setukpairinjR12 (forall @t51 (=> @t50 (= @t147 (_ @t146 tptp.emptyset)))))) % 0.51/0.92 (assume @p168 (= tptp.setukpairinjR1 (forall @t179 (=> @t178 (=> @t114 @t181))))) % 0.51/0.92 (assume @p169 (= tptp.upairequniteq (forall @t90 (=> (= @t89 @t171) @t50)))) % 0.51/0.92 (assume @p170 (= tptp.setukpairinjR2 (forall @t179 (=> @t178 @t181)))) % 0.51/0.92 (assume @p171 (= tptp.setukpairinjR (forall @t179 (=> @t180 @t181)))) % 0.51/0.92 (assume @p172 (= tptp.ksndsingleton (forall @t173 (=> @t159 (_ tptp.singleton (_ @t172 (lambda @t8 (= @t113 (_ @t182 @t4))))))))) % 0.51/0.92 (assume @p173 (= tptp.ksndpairEq (forall @t51 @t183))) % 0.51/0.92 (assume @p174 (= tptp.kpairsurjEq (forall @t173 (=> @t159 @t185)))) % 0.51/0.92 (assume @p175 (= tptp.cartprodsndin (forall @t158 (=> @t157 (_ (_ tptp.in @t184) @t1))))) % 0.51/0.92 (assume @p176 (= tptp.cartprodpairmemEL (forall @t186 (=> @t156 @t7)))) % 0.51/0.92 (assume @p177 (= tptp.cartprodpairmemER (forall @t186 (=> @t156 @t105)))) % 0.51/0.92 (assume @p178 (= tptp.cartprodmempaircEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 (= @t150 @t150))))))) % 0.51/0.92 (assume @p179 (= tptp.cartprodfstpairEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t176)))))) % 0.51/0.92 (assume @p180 (= tptp.cartprodsndpairEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t183)))))) % 0.51/0.92 (assume @p181 (= tptp.cartprodpairsurjEq (forall @t158 (=> @t157 @t185)))) % 0.51/0.92 (assume @p182 (= tptp.dpsetconstrI (forall @t189 (=> @t7 (forall @t36 (=> @t105 (=> @t37 @t188))))))) % 0.51/0.92 (assume @p183 (= tptp.dpsetconstrSub (forall @t191 (_ (_ tptp.subset @t190) @t155)))) % 0.51/0.92 (assume @p184 (= tptp.setOfPairsIsBReln (forall @t191 (_ @t192 @t190)))) % 0.51/0.92 (assume @p185 (= tptp.dpsetconstrERa (forall @t189 (=> @t7 (forall @t36 (=> @t105 @t193)))))) % 0.51/0.92 (assume @p186 (= tptp.dpsetconstrEL1 (forall @t194 (=> @t188 @t7)))) % 0.51/0.92 (assume @p187 (= tptp.dpsetconstrEL2 (forall @t194 (=> @t188 @t105)))) % 0.51/0.92 (assume @p188 (= tptp.dpsetconstrER (forall @t194 @t193))) % 0.51/0.92 (assume @p189 (= tptp.funcImageSingleton (forall @t200 (=> @t199 (forall @t8 (=> @t7 (_ tptp.singleton @t197))))))) % 0.51/0.92 (assume @p190 (= tptp.apProp (forall @t200 (=> @t199 (forall @t8 (=> @t7 (_ (_ tptp.in (_ tptp.setunion @t197)) @t1))))))) % 0.51/0.92 (assume @p191 (= tptp.app (forall @t200 (=> @t199 @t203)))) % 0.51/0.92 (assume @p192 (= tptp.infuncsetfunc (forall @t200 (=> @t205 @t199)))) % 0.51/0.92 (assume @p193 (= tptp.ap2p (forall @t200 (=> @t205 @t203)))) % 0.51/0.92 (assume @p194 (= tptp.funcinfuncset (forall @t200 (=> @t199 @t205)))) % 0.51/0.92 (assume @p195 (= tptp.lamProp (forall @t209 (=> @t208 (_ @t198 (_ @t187 (lambda @t51 (= @t207 @t12)))))))) % 0.51/0.92 (assume @p196 (= tptp.lamp (forall @t209 (=> @t208 (_ @t198 @t211))))) % 0.51/0.92 (assume @p197 (= tptp.lam2p (forall @t209 (=> @t208 (_ (_ tptp.in @t211) @t204))))) % 0.51/0.92 (assume @p198 (= tptp.brelnall1 @t216)) % 0.51/0.92 (assume @p199 (= tptp.brelnall2 @t216)) % 0.51/0.92 (assume @p200 (= tptp.ex1E2 (forall @t95 (=> @t168 @t166)))) % 0.51/0.92 (assume @p201 (= tptp.funcGraphProp1 (forall @t200 (=> @t199 @t217)))) % 0.51/0.92 (assume @p202 (= tptp.funcGraphProp3 (forall @t200 (=> @t205 @t217)))) % 0.51/0.92 (assume @p203 (= tptp.funcGraphProp2 (forall @t200 (=> @t199 @t218)))) % 0.51/0.92 (assume @p204 (= tptp.funcextLem (forall @t200 (=> @t199 (forall @t222 (=> @t221 (=> @t220 (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> (_ @t154 @t219) @t196)))))))))))) % 0.51/0.92 (assume @p205 (= tptp.funcGraphProp4 (forall @t200 (=> @t205 @t218)))) % 0.51/0.92 (assume @p206 (= tptp.subbreln (forall @t215 (=> @t214 (forall @t227 (=> @t226 (=> @t225 (_ (_ tptp.subset @t212) @t223)))))))) % 0.51/0.92 (assume @p207 (= tptp.eqbreln (forall @t215 (=> @t214 (forall @t227 (=> @t226 (=> @t225 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t224 @t213))))) (= @t212 @t223))))))))) % 0.51/0.92 (assume @p208 (= tptp.funcext (forall @t200 (=> @t199 (forall @t222 (=> @t221 @t228)))))) % 0.51/0.92 (assume @p209 (= tptp.funcext2 (forall @t200 (=> @t205 (forall @t222 (=> (_ (_ tptp.in @t219) @t204) @t228)))))) % 0.51/0.92 (assume @p210 (= tptp.ap2apEq1 (forall @t200 (=> @t205 @t229)))) % 0.51/0.92 (assume @p211 (= tptp.ap2apEq2 (forall @t200 (=> @t199 @t229)))) % 0.51/0.92 (assume @p212 (= tptp.beta1 @t230)) % 0.51/0.92 (assume @p213 (= tptp.eta1 (forall @t200 (=> @t199 @t231)))) % 0.51/0.92 (assume @p214 (= tptp.lam2lamEq (forall @t209 (=> @t208 (= @t211 @t211))))) % 0.51/0.92 (assume @p215 (= tptp.beta2 @t230)) % 0.51/0.92 (assume @p216 (= tptp.eta2 (forall @t200 (=> @t205 @t231)))) % 0.51/0.92 (assume @p217 (= tptp.iffalseProp1 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (_ @t13 @t233)))))))) % 0.51/0.92 (assume @p218 (= tptp.iffalseProp2 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (= @t233 @t82)))))))) % 0.51/0.92 (assume @p219 (= tptp.iftrueProp1 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (_ @t5 @t233)))))))) % 0.51/0.92 (assume @p220 (= tptp.iftrueProp2 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (= @t233 @t84)))))))) % 0.51/0.92 (assume @p221 (= tptp.ifSingleton (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ tptp.singleton @t233))))))) % 0.51/0.92 (assume @p222 (= tptp.ifp (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ @t236 @t2))))))) % 0.51/0.92 (assume @p223 (= tptp.theeq (forall @t163 (=> @t175 (forall @t8 (=> @t161 (= @t174 @t4))))))) % 0.51/0.92 (assume @p224 (= tptp.iftrue (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (= @t235 @t4)))))))) % 0.51/0.92 (assume @p225 (= tptp.iffalse (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (= @t235 @t12)))))))) % 0.51/0.92 (assume @p226 (= tptp.iftrueorfalse (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ @t236 @t89))))))) % 0.51/0.92 (assume @p227 (= tptp.binintersectT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ @t239 @t23))))))) % 0.51/0.92 (assume @p228 (= tptp.binunionT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.in @t246) @t23))))))) % 0.51/0.92 (assume @p229 (= tptp.powersetT_lem (forall @t244 (=> @t243 (_ (_ tptp.in (_ tptp.powerset @t160)) (_ tptp.powerset @t23)))))) % 0.51/0.92 (assume @p230 (= tptp.setminusT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.in (_ (_ tptp.setminus @t160) @t237)) @t23))))))) % 0.51/0.92 (assume @p231 (= tptp.complementT_lem (forall @t244 (=> @t243 (_ @t248 @t23))))) % 0.51/0.92 (assume @p232 (= tptp.setextT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 (=> (forall @t8 (=> @t7 (=> @t249 @t161))) (= @t160 @t237))))))))) % 0.51/0.92 (assume @p233 (= tptp.subsetTI (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 @t253))))))) % 0.51/0.92 (assume @p234 (= tptp.powersetTI1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 @t254))))))) % 0.51/0.92 (assume @p235 (= tptp.powersetTE1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t254 @t250))))))))) % 0.51/0.92 (assume @p236 (= tptp.complementTI1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t161 @t256))))))) % 0.51/0.92 (assume @p237 (= tptp.complementTE1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t256 @t161))))))) % 0.51/0.92 (assume @p238 (= tptp.binintersectTELcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t259 @t258))))))))) % 0.51/0.92 (assume @p239 (= tptp.binintersectTERcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t260 @t258))))))))) % 0.51/0.92 (assume @p240 (= tptp.contrasubsetT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t262 (=> @t249 @t259)))))))))) % 0.51/0.92 (assume @p241 (= tptp.contrasubsetT1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t253 (=> @t260 @t259)))))))))) % 0.51/0.92 (assume @p242 (= tptp.contrasubsetT2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t253 @t263))))))) % 0.51/0.92 (assume @p243 (= tptp.contrasubsetT3 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t263 @t253))))))) % 0.51/0.92 (assume @p244 (= tptp.doubleComplementI1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t161 @t265))))))) % 0.51/0.92 (assume @p245 (= tptp.doubleComplementE1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t265 @t161))))))) % 0.51/0.92 (assume @p246 (= tptp.doubleComplementSub1 (forall @t244 (=> @t243 (_ @t252 @t264))))) % 0.51/0.92 (assume @p247 (= tptp.doubleComplementSub2 (forall @t244 (=> @t243 (_ (_ tptp.subset @t264) @t160))))) % 0.51/0.92 (assume @p248 (= tptp.doubleComplementEq (forall @t244 (=> @t243 (= @t160 @t264))))) % 0.51/0.92 (assume @p249 (= tptp.complementTnotintersectT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t255 @t258))))))))) % 0.51/0.92 (assume @p250 (= tptp.complementImpComplementIntersect (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t255 @t267))))))))) % 0.51/0.92 (assume @p251 (= tptp.complementSubsetComplementIntersect (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.subset @t247) @t266))))))) % 0.51/0.92 (assume @p252 (= tptp.complementInPowersetComplementIntersect @t268)) % 0.51/0.92 (assume @p253 (= tptp.contraSubsetComplement (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t262 (forall @t8 (=> @t7 (=> @t249 @t255)))))))))) % 0.51/0.92 (assume @p254 @t275) % 0.51/0.92 (assume @p255 (= tptp.binunionTILcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t277 @t259))))))))) % 0.51/0.92 (assume @p256 (= tptp.binunionTIRcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t277 @t260))))))))) % 0.51/0.92 (assume @p257 (= tptp.inIntersectImpInUnion (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t279)))))))))))) % 0.51/0.92 (assume @p258 (= tptp.inIntersectImpInUnion2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t282)))))))))))) % 0.51/0.92 (assume @p259 (= tptp.inIntersectImpInIntersectUnions (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t283)))))))))))) % 0.51/0.92 (assume @p260 (= tptp.intersectInPowersetIntersectUnions @t284)) % 0.51/0.92 (assume @p261 (= tptp.inComplementUnionImpNotIn1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t286 @t259))))))))) % 0.51/0.92 (assume @p262 (= tptp.inComplementUnionImpInComplement1 @t287)) % 0.51/0.92 (assume @p263 (= tptp.binunionTE (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t68 (=> @t7 (=> @t276 (=> (=> @t161 @t66) (=> (=> @t249 @t66) @t66))))))))))) % 0.51/0.92 (assume @p264 (= tptp.binunionTEcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t259 (=> @t260 @t277)))))))))) % 0.51/0.92 (assume @p265 (= tptp.demorgan2a1 @t287)) % 0.51/0.92 (assume @p266 (= tptp.complementUnionInPowersetComplement (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.in @t285) (_ tptp.powerset @t247)))))))) % 0.51/0.92 (assume @p267 (= tptp.demorgan2a2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t286 @t288))))))))) % 0.51/0.92 (assume @p268 (= tptp.demorgan1a (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t267 @t290))))))))) % 0.51/0.92 (assume @p269 (= tptp.demorgan1b (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t290 @t267))))))))) % 0.51/0.92 (assume @p270 (= tptp.demorgan1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (= @t266 @t289))))))) % 0.51/0.92 (assume @p271 (= tptp.demorgan2a (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t286 @t292))))))))) % 0.51/0.92 (assume @p272 (= tptp.demorgan2b2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t255 (=> @t288 @t286)))))))))) % 0.51/0.92 (assume @p273 (= tptp.demorgan2b (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t292 @t286))))))))) % 0.51/0.92 (assume @p274 (= tptp.demorgan2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (= @t285 @t291))))))) % 0.51/0.92 (assume @p275 (= tptp.woz13rule0 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t257 @t7)))))))) % 0.51/0.92 (assume @p276 (= tptp.woz13rule1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (=> @t295 @t294))))))))) % 0.51/0.92 (assume @p277 (= tptp.woz13rule2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (=> (_ @t269 @t278) @t294))))))))) % 0.51/0.92 (assume @p278 (= tptp.woz13rule3 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (=> @t253 (=> @t295 (_ @t252 (_ (_ tptp.binintersect @t237) @t278)))))))))))) % 0.51/0.92 (assume @p279 (= tptp.woz13rule4 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (forall @t298 (=> @t297 (=> @t295 (=> (_ @t269 @t296) (_ @t293 (_ (_ tptp.binintersect @t278) @t296)))))))))))))) % 0.51/0.92 (assume @p280 (= tptp.woz1_1 @t268)) % 0.51/0.92 (assume @p281 (= tptp.woz1_2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t281 (=> @t280 (forall @t298 (=> @t297 (= (_ @t139 (_ (_ tptp.binintersect @t246) (_ (_ tptp.binunion @t278) @t296))) (_ (_ tptp.binunion @t291) (_ (_ tptp.binintersect (_ @t139 @t278)) (_ @t139 @t296)))))))))))))) % 0.51/0.92 (assume @p282 (= tptp.woz1_3 @t284)) % 0.51/0.92 (assume @p283 @t581) % 0.51/0.92 (assume @p284 true) % 0.51/0.92 (step @p285 (= tptp.exu @t582) :rule refl :args (@t582)) % 0.51/0.92 (step @p286 (= tptp.nonempty @t583) :rule refl :args (@t583)) % 0.51/0.92 (step @p287 (= tptp.ex1 @t584) :rule refl :args (@t584)) % 0.51/0.92 (step @p288 (= tptp.breln @t585) :rule refl :args (@t585)) % 0.51/0.92 (step @p289 :rule aci_norm :args ((= @t596 @t594))) % 0.51/0.92 (step @p290 :rule cong :premises (@p289) :args (@t598)) % 0.51/0.92 (step @p291 :rule quant-merge-prenex :args ((= (forall @t244 @t600) @t598))) % 0.51/0.92 (step @p292 :rule alpha_equiv :args (@t601 (@list @t587) (@list @t237))) % 0.51/0.92 (step @p293 :rule refl :args (@t593)) % 0.51/0.92 (step @p294 :rule nary_cong :premises (@p293 @p292) :args (@t602)) % 0.51/0.92 (step @p295 :rule quant-miniscope-or :args ((= @t600 @t602))) % 0.51/0.92 (step @p296 :rule trans :premises (@p295 @p294)) % 0.51/0.92 (step @p297 :rule symm :premises (@p296)) % 0.51/0.92 (step @p298 :rule cong :premises (@p297) :args ((forall @t244 (or @t593 @t607)))) % 0.51/0.92 (step @p299 :rule trans :premises (@p298 @p291)) % 0.51/0.92 (step @p300 :rule trans :premises (@p299 @p290)) % 0.51/0.92 (step @p301 :rule refl :args (@t607)) % 0.51/0.92 (step @p302 :rule refl :args ((tptp.in @t160 @t23))) % 0.51/0.92 (step @p303 :rule refl :args (@t590)) % 0.51/0.92 (step @p304 :rule refl :args (@t160)) % 0.51/0.92 (step @p305 :rule cong :premises (@p304 @p303) :args (@t592)) % 0.51/0.92 (step @p306 :rule trans :premises (@p305 @p302)) % 0.51/0.92 (step @p307 :rule refl :args (@t162)) % 0.51/0.92 (step @p308 :rule ho_cong :premises (@p307 @p303)) % 0.51/0.92 (step @p309 :rule cong :premises (@p308 @p306) :args ((= (_ @t162 @t590) @t592))) % 0.51/0.92 (step @p310 :rule symm :premises (@p309)) % 0.51/0.92 (step @p311 :rule refl :args (@t243)) % 0.51/0.92 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.51/0.92 (step @p313 :rule refl :args (@t23)) % 0.51/0.92 (step @p314 :rule cong :premises (@p313 @p303) :args ((= @t23 @t590))) % 0.51/0.92 (step @p315 :rule symm :premises (@p314)) % 0.51/0.92 (step @p316 :rule eq_resolve :premises (@p313 @p315)) % 0.51/0.92 (step @p317 :rule ho_cong :premises (@p307 @p316)) % 0.51/0.92 (step @p318 :rule trans :premises (@p317 @p312)) % 0.51/0.92 (step @p319 :rule cong :premises (@p318) :args (@t608)) % 0.51/0.92 (step @p320 :rule nary_cong :premises (@p319 @p301) :args (@t609)) % 0.51/0.92 (step @p321 :rule cong :premises (@p320) :args ((forall @t244 @t609))) % 0.51/0.92 (step @p322 :rule trans :premises (@p321 @p300)) % 0.51/0.92 (step @p323 :rule bool-impl-elim :args (@t243 @t607)) % 0.51/0.92 (step @p324 :rule cong :premises (@p323) :args ((forall @t244 (=> @t243 @t607)))) % 0.51/0.92 (step @p325 :rule trans :premises (@p324 @p322)) % 0.51/0.92 (step @p326 :rule refl :args ((tptp.subset @t237 @t247))) % 0.51/0.92 (step @p327 :rule refl :args (@t586)) % 0.51/0.92 (step @p328 :rule refl :args (@t237)) % 0.51/0.92 (step @p329 :rule cong :premises (@p328 @p327) :args (@t603)) % 0.51/0.93 (step @p330 :rule trans :premises (@p329 @p326)) % 0.51/0.93 (step @p331 :rule refl :args (@t269)) % 0.51/0.93 (step @p332 :rule ho_cong :premises (@p331 @p327)) % 0.51/0.93 (step @p333 :rule cong :premises (@p332 @p330) :args ((= (_ @t269 @t586) @t603))) % 0.51/0.93 (step @p334 :rule symm :premises (@p333)) % 0.51/0.93 (step @p335 :rule refl :args (@t270)) % 0.51/0.93 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 0.51/0.93 (step @p337 :rule refl :args (@t247)) % 0.51/0.93 (step @p338 :rule cong :premises (@p337 @p327) :args ((= @t247 @t586))) % 0.51/0.93 (step @p339 :rule symm :premises (@p338)) % 0.51/0.93 (step @p340 :rule eq_resolve :premises (@p337 @p339)) % 0.51/0.93 (step @p341 :rule ho_cong :premises (@p331 @p340)) % 0.51/0.93 (step @p342 :rule trans :premises (@p341 @p336)) % 0.51/0.93 (step @p343 :rule refl :args ((tptp.subset @t160 @t261))) % 0.51/0.93 (step @p344 :rule refl :args (@t604)) % 0.51/0.93 (step @p345 :rule cong :premises (@p304 @p344) :args (@t605)) % 0.51/0.93 (step @p346 :rule trans :premises (@p345 @p343)) % 0.51/0.93 (step @p347 :rule refl :args (@t252)) % 0.51/0.93 (step @p348 :rule ho_cong :premises (@p347 @p344)) % 0.51/0.93 (step @p349 :rule cong :premises (@p348 @p346) :args ((= (_ @t252 @t604) @t605))) % 0.51/0.93 (step @p350 :rule symm :premises (@p349)) % 0.51/0.93 (step @p351 :rule refl :args (@t262)) % 0.51/0.93 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 0.51/0.93 (step @p353 :rule refl :args (@t261)) % 0.51/0.93 (step @p354 :rule cong :premises (@p353 @p344) :args ((= @t261 @t604))) % 0.51/0.93 (step @p355 :rule symm :premises (@p354)) % 0.51/0.93 (step @p356 :rule eq_resolve :premises (@p353 @p355)) % 0.51/0.93 (step @p357 :rule ho_cong :premises (@p347 @p356)) % 0.51/0.93 (step @p358 :rule trans :premises (@p357 @p352)) % 0.51/0.93 (step @p359 :rule cong :premises (@p358) :args (@t610)) % 0.51/0.93 (step @p360 :rule refl :args ((tptp.in @t237 @t23))) % 0.51/0.93 (step @p361 :rule cong :premises (@p328 @p303) :args (@t606)) % 0.51/0.93 (step @p362 :rule trans :premises (@p361 @p360)) % 0.51/0.93 (step @p363 :rule refl :args (@t240)) % 0.51/0.93 (step @p364 :rule ho_cong :premises (@p363 @p303)) % 0.51/0.93 (step @p365 :rule cong :premises (@p364 @p362) :args ((= (_ @t240 @t590) @t606))) % 0.51/0.93 (step @p366 :rule symm :premises (@p365)) % 0.51/0.93 (step @p367 :rule refl :args (@t241)) % 0.51/0.93 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 0.51/0.93 (step @p369 :rule ho_cong :premises (@p363 @p316)) % 0.51/0.93 (step @p370 :rule trans :premises (@p369 @p368)) % 0.51/0.93 (step @p371 :rule cong :premises (@p370) :args (@t611)) % 0.51/0.93 (step @p372 :rule nary_cong :premises (@p371 @p359 @p342) :args (@t612)) % 0.51/0.93 (step @p373 :rule cong :premises (@p372) :args ((forall @t242 @t612))) % 0.51/0.93 (step @p374 :rule aci_norm :args ((= (or @t611 (or @t610 @t270)) @t612))) % 0.51/0.93 (step @p375 :rule bool-impl-elim :args (@t262 @t270)) % 0.51/0.93 (step @p376 :rule refl :args (@t611)) % 0.51/0.93 (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or @t611 @t271))) % 0.51/0.93 (step @p378 :rule trans :premises (@p377 @p374)) % 0.51/0.93 (step @p379 :rule bool-impl-elim :args (@t241 @t271)) % 0.51/0.93 (step @p380 :rule trans :premises (@p379 @p378)) % 0.51/0.93 (step @p381 :rule cong :premises (@p380) :args (@t272)) % 0.51/0.93 (step @p382 :rule trans :premises (@p381 @p373)) % 0.51/0.93 (step @p383 :rule refl :args (@t243)) % 0.51/0.93 (step @p384 :rule cong :premises (@p383 @p382) :args (@t273)) % 0.51/0.93 (step @p385 :rule cong :premises (@p384) :args (@t274)) % 0.51/0.93 (step @p386 :rule trans :premises (@p385 @p325)) % 0.51/0.93 (step @p387 :rule refl :args (tptp.woz1_3)) % 0.51/0.93 (step @p388 :rule cong :premises (@p387 @p386) :args (@t299)) % 0.51/0.93 (step @p389 :rule refl :args (tptp.woz1_2)) % 0.51/0.93 (step @p390 :rule cong :premises (@p389 @p388) :args (@t300)) % 0.51/0.93 (step @p391 :rule refl :args (tptp.woz1_1)) % 0.51/0.93 (step @p392 :rule cong :premises (@p391 @p390) :args (@t301)) % 0.51/0.93 (step @p393 :rule refl :args (tptp.woz13rule4)) % 0.51/0.93 (step @p394 :rule cong :premises (@p393 @p392) :args (@t302)) % 0.51/0.93 (step @p395 :rule refl :args (tptp.woz13rule3)) % 0.51/0.93 (step @p396 :rule cong :premises (@p395 @p394) :args (@t303)) % 0.51/0.93 (step @p397 :rule refl :args (tptp.woz13rule2)) % 0.51/0.93 (step @p398 :rule cong :premises (@p397 @p396) :args (@t304)) % 0.51/0.93 (step @p399 :rule refl :args (tptp.woz13rule1)) % 0.51/0.93 (step @p400 :rule cong :premises (@p399 @p398) :args (@t305)) % 0.51/0.93 (step @p401 :rule refl :args (tptp.woz13rule0)) % 0.51/0.93 (step @p402 :rule cong :premises (@p401 @p400) :args (@t306)) % 0.51/0.93 (step @p403 :rule refl :args (tptp.demorgan2)) % 0.51/0.93 (step @p404 :rule cong :premises (@p403 @p402) :args (@t307)) % 0.51/0.93 (step @p405 :rule refl :args (tptp.demorgan2b)) % 0.51/0.93 (step @p406 :rule cong :premises (@p405 @p404) :args (@t308)) % 0.51/0.93 (step @p407 :rule refl :args (tptp.demorgan2b2)) % 0.51/0.93 (step @p408 :rule cong :premises (@p407 @p406) :args (@t309)) % 0.51/0.93 (step @p409 :rule refl :args (tptp.demorgan2a)) % 0.51/0.93 (step @p410 :rule cong :premises (@p409 @p408) :args (@t310)) % 0.51/0.93 (step @p411 :rule refl :args (tptp.demorgan1)) % 0.51/0.93 (step @p412 :rule cong :premises (@p411 @p410) :args (@t311)) % 0.51/0.93 (step @p413 :rule refl :args (tptp.demorgan1b)) % 0.51/0.93 (step @p414 :rule cong :premises (@p413 @p412) :args (@t312)) % 0.51/0.93 (step @p415 :rule refl :args (tptp.demorgan1a)) % 0.51/0.93 (step @p416 :rule cong :premises (@p415 @p414) :args (@t313)) % 0.51/0.93 (step @p417 :rule refl :args (tptp.demorgan2a2)) % 0.51/0.93 (step @p418 :rule cong :premises (@p417 @p416) :args (@t314)) % 0.51/0.93 (step @p419 :rule refl :args (tptp.complementUnionInPowersetComplement)) % 0.51/0.93 (step @p420 :rule cong :premises (@p419 @p418) :args (@t315)) % 0.51/0.93 (step @p421 :rule refl :args (tptp.demorgan2a1)) % 0.51/0.93 (step @p422 :rule cong :premises (@p421 @p420) :args (@t316)) % 0.51/0.93 (step @p423 :rule refl :args (tptp.binunionTEcontra)) % 0.51/0.93 (step @p424 :rule cong :premises (@p423 @p422) :args (@t317)) % 0.51/0.93 (step @p425 :rule refl :args (tptp.binunionTE)) % 0.51/0.93 (step @p426 :rule cong :premises (@p425 @p424) :args (@t318)) % 0.51/0.93 (step @p427 :rule refl :args (tptp.inComplementUnionImpInComplement1)) % 0.51/0.93 (step @p428 :rule cong :premises (@p427 @p426) :args (@t319)) % 0.51/0.93 (step @p429 :rule refl :args (tptp.inComplementUnionImpNotIn1)) % 0.51/0.93 (step @p430 :rule cong :premises (@p429 @p428) :args (@t320)) % 0.51/0.93 (step @p431 :rule refl :args (tptp.intersectInPowersetIntersectUnions)) % 0.51/0.93 (step @p432 :rule cong :premises (@p431 @p430) :args (@t321)) % 0.51/0.93 (step @p433 :rule refl :args (tptp.inIntersectImpInIntersectUnions)) % 0.51/0.93 (step @p434 :rule cong :premises (@p433 @p432) :args (@t322)) % 0.51/0.93 (step @p435 :rule refl :args (tptp.inIntersectImpInUnion2)) % 0.51/0.93 (step @p436 :rule cong :premises (@p435 @p434) :args (@t323)) % 0.51/0.93 (step @p437 :rule refl :args (tptp.inIntersectImpInUnion)) % 0.51/0.93 (step @p438 :rule cong :premises (@p437 @p436) :args (@t324)) % 0.51/0.93 (step @p439 :rule refl :args (tptp.binunionTIRcontra)) % 0.51/0.93 (step @p440 :rule cong :premises (@p439 @p438) :args (@t325)) % 0.51/0.93 (step @p441 :rule refl :args (tptp.binunionTILcontra)) % 0.51/0.93 (step @p442 :rule cong :premises (@p441 @p440) :args (@t326)) % 0.51/0.93 (step @p443 :rule refl :args (tptp.complementTcontraSubset)) % 0.51/0.93 (step @p444 :rule cong :premises (@p443 @p442) :args (@t327)) % 0.51/0.93 (step @p445 :rule refl :args (tptp.contraSubsetComplement)) % 0.51/0.93 (step @p446 :rule cong :premises (@p445 @p444) :args (@t328)) % 0.51/0.93 (step @p447 :rule refl :args (tptp.complementInPowersetComplementIntersect)) % 0.51/0.93 (step @p448 :rule cong :premises (@p447 @p446) :args (@t329)) % 0.51/0.93 (step @p449 :rule refl :args (tptp.complementSubsetComplementIntersect)) % 0.51/0.93 (step @p450 :rule cong :premises (@p449 @p448) :args (@t330)) % 0.51/0.93 (step @p451 :rule refl :args (tptp.complementImpComplementIntersect)) % 0.51/0.93 (step @p452 :rule cong :premises (@p451 @p450) :args (@t331)) % 0.51/0.93 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(@p1112)) % 0.51/0.93 (step @p1114 :rule not_implies_elim2 :premises (@p1113)) % 0.51/0.93 (step @p1115 :rule not_implies_elim2 :premises (@p1114)) % 0.51/0.93 (step @p1116 :rule not_implies_elim2 :premises (@p1115)) % 0.51/0.93 (step @p1117 :rule not_implies_elim2 :premises (@p1116)) % 0.51/0.93 (step @p1118 :rule not_implies_elim2 :premises (@p1117)) % 0.51/0.93 (step @p1119 :rule not_implies_elim2 :premises (@p1118)) % 0.51/0.93 (step @p1120 :rule not_implies_elim2 :premises (@p1119)) % 0.51/0.93 (step @p1121 :rule not_implies_elim2 :premises (@p1120)) % 0.51/0.93 (step @p1122 :rule not_implies_elim2 :premises (@p1121)) % 0.51/0.93 (step @p1123 :rule not_implies_elim2 :premises (@p1122)) % 0.51/0.93 (step @p1124 :rule not_implies_elim2 :premises (@p1123)) % 0.51/0.93 (step @p1125 :rule not_implies_elim2 :premises (@p1124)) % 0.51/0.93 (step @p1126 :rule not_implies_elim2 :premises (@p1125)) % 0.51/0.93 (step @p1127 :rule not_implies_elim2 :premises (@p1126)) % 0.51/0.93 (step @p1128 :rule not_implies_elim2 :premises (@p1127)) % 0.51/0.93 (step @p1129 :rule not_implies_elim2 :premises (@p1128)) % 0.51/0.93 (step @p1130 :rule not_implies_elim2 :premises (@p1129)) % 0.51/0.93 (step @p1131 :rule not_implies_elim2 :premises (@p1130)) % 0.51/0.93 (step @p1132 :rule not_implies_elim2 :premises (@p1131)) % 0.51/0.93 (step @p1133 :rule not_implies_elim2 :premises (@p1132)) % 0.51/0.93 (step @p1134 :rule not_implies_elim2 :premises (@p1133)) % 0.51/0.93 (step @p1135 :rule not_implies_elim2 :premises (@p1134)) % 0.51/0.93 (step @p1136 :rule not_implies_elim2 :premises (@p1135)) % 0.51/0.93 (step @p1137 :rule not_implies_elim2 :premises (@p1136)) % 0.51/0.93 (step @p1138 :rule not_implies_elim2 :premises (@p1137)) % 0.51/0.93 (step @p1139 :rule not_implies_elim2 :premises (@p1138)) % 0.51/0.93 (step @p1140 :rule not_implies_elim2 :premises (@p1139)) % 0.51/0.93 (step @p1141 :rule not_implies_elim2 :premises (@p1140)) % 0.51/0.93 (step @p1142 :rule not_implies_elim2 :premises (@p1141)) % 0.51/0.93 (step @p1143 :rule not_implies_elim2 :premises (@p1142)) % 0.51/0.93 (step @p1144 :rule not_implies_elim2 :premises (@p1143)) % 0.51/0.93 (step @p1145 :rule not_implies_elim2 :premises (@p1144)) % 0.51/0.93 (step @p1146 :rule not_implies_elim2 :premises (@p1145)) % 0.51/0.93 (step @p1147 :rule not_implies_elim2 :premises (@p1146)) % 0.51/0.93 (step @p1148 :rule not_implies_elim2 :premises (@p1147)) % 0.51/0.93 (step @p1149 :rule not_implies_elim2 :premises (@p1148)) % 0.51/0.93 (step @p1150 :rule not_implies_elim2 :premises (@p1149)) % 0.51/0.93 (step @p1151 :rule not_implies_elim2 :premises (@p1150)) % 0.51/0.93 (step @p1152 :rule not_implies_elim2 :premises (@p1151)) % 0.51/0.93 (step @p1153 :rule not_implies_elim2 :premises (@p1152)) % 0.51/0.93 (step @p1154 :rule not_implies_elim2 :premises (@p1153)) % 0.51/0.93 (step @p1155 :rule not_implies_elim2 :premises (@p1154)) % 0.51/0.93 (step @p1156 :rule not_implies_elim2 :premises (@p1155)) % 0.51/0.93 (step @p1157 :rule not_implies_elim2 :premises (@p1156)) % 0.51/0.93 (step @p1158 :rule not_implies_elim2 :premises (@p1157)) % 0.51/0.93 (step @p1159 :rule not_implies_elim2 :premises (@p1158)) % 0.51/0.93 (step @p1160 :rule not_implies_elim2 :premises (@p1159)) % 0.51/0.93 (step @p1161 :rule not_implies_elim2 :premises (@p1160)) % 0.51/0.93 (step @p1162 :rule not_implies_elim2 :premises (@p1161)) % 0.51/0.93 (step @p1163 :rule not_implies_elim2 :premises (@p1162)) % 0.51/0.93 (step @p1164 :rule not_implies_elim2 :premises (@p1163)) % 0.51/0.93 (step @p1165 :rule not_implies_elim2 :premises (@p1164)) % 0.51/0.93 (step @p1166 :rule not_implies_elim2 :premises (@p1165)) % 0.51/0.93 (step @p1167 :rule not_implies_elim2 :premises (@p1166)) % 0.51/0.93 (step @p1168 :rule not_implies_elim2 :premises (@p1167)) % 0.51/0.93 (step @p1169 :rule not_implies_elim2 :premises (@p1168)) % 0.51/0.93 (step @p1170 :rule not_implies_elim2 :premises (@p1169)) % 0.51/0.93 (step @p1171 :rule not_implies_elim2 :premises (@p1170)) % 0.51/0.93 (step @p1172 :rule not_implies_elim2 :premises (@p1171)) % 0.51/0.93 (step @p1173 :rule not_implies_elim2 :premises (@p1172)) % 0.51/0.93 (step @p1174 :rule not_implies_elim2 :premises (@p1173)) % 0.51/0.93 (step @p1175 :rule not_implies_elim2 :premises (@p1174)) % 0.51/0.93 (step @p1176 :rule not_implies_elim2 :premises (@p1175)) % 0.51/0.93 (step @p1177 :rule not_implies_elim2 :premises (@p1176)) % 0.51/0.93 (step @p1178 :rule not_implies_elim2 :premises (@p1177)) % 0.51/0.93 (step @p1179 :rule not_implies_elim2 :premises (@p1178)) % 0.51/0.93 (step @p1180 :rule not_implies_elim2 :premises (@p1179)) % 0.51/0.93 (step @p1181 :rule not_implies_elim2 :premises (@p1180)) % 0.51/0.93 (step @p1182 :rule not_implies_elim2 :premises (@p1181)) % 0.51/0.93 (step @p1183 :rule not_implies_elim2 :premises (@p1182)) % 0.51/0.93 (step @p1184 :rule not_implies_elim2 :premises (@p1183)) % 0.51/0.93 (step @p1185 :rule not_implies_elim2 :premises (@p1184)) % 0.51/0.93 (step @p1186 :rule not_implies_elim2 :premises (@p1185)) % 0.51/0.93 (step @p1187 :rule not_implies_elim2 :premises (@p1186)) % 0.51/0.93 (step @p1188 :rule not_implies_elim2 :premises (@p1187)) % 0.51/0.93 (step @p1189 :rule not_implies_elim2 :premises (@p1188)) % 0.51/0.93 (step @p1190 :rule not_implies_elim2 :premises (@p1189)) % 0.51/0.93 (step @p1191 :rule not_implies_elim2 :premises (@p1190)) % 0.51/0.93 (step @p1192 :rule not_implies_elim2 :premises (@p1191)) % 0.51/0.93 (step @p1193 :rule not_implies_elim2 :premises (@p1192)) % 0.51/0.93 (step @p1194 :rule not_implies_elim2 :premises (@p1193)) % 0.51/0.93 (step @p1195 :rule not_implies_elim2 :premises (@p1194)) % 0.51/0.93 (step @p1196 :rule not_implies_elim2 :premises (@p1195)) % 0.51/0.93 (step @p1197 :rule not_implies_elim2 :premises (@p1196)) % 0.51/0.93 (step @p1198 :rule not_implies_elim2 :premises (@p1197)) % 0.51/0.93 (step @p1199 :rule not_implies_elim2 :premises (@p1198)) % 0.51/0.93 (step @p1200 :rule not_implies_elim2 :premises (@p1199)) % 0.51/0.93 (step @p1201 :rule not_implies_elim2 :premises (@p1200)) % 0.51/0.93 (step @p1202 :rule not_implies_elim2 :premises (@p1201)) % 0.51/0.93 (step @p1203 :rule not_implies_elim2 :premises (@p1202)) % 0.51/0.93 (step @p1204 :rule not_implies_elim2 :premises (@p1203)) % 0.51/0.93 (step @p1205 :rule not_implies_elim2 :premises (@p1204)) % 0.51/0.93 (step @p1206 :rule not_implies_elim2 :premises (@p1205)) % 0.51/0.93 (step @p1207 :rule not_implies_elim2 :premises (@p1206)) % 0.51/0.93 (step @p1208 :rule not_implies_elim2 :premises (@p1207)) % 0.51/0.93 (step @p1209 :rule not_implies_elim2 :premises (@p1208)) % 0.51/0.93 (step @p1210 :rule not_implies_elim2 :premises (@p1209)) % 0.51/0.93 (step @p1211 :rule not_implies_elim2 :premises (@p1210)) % 0.51/0.93 (step @p1212 :rule not_implies_elim2 :premises (@p1211)) % 0.51/0.93 (step @p1213 :rule not_implies_elim2 :premises (@p1212)) % 0.51/0.93 (step @p1214 :rule not_implies_elim2 :premises (@p1213)) % 0.51/0.93 (step @p1215 :rule not_implies_elim2 :premises (@p1214)) % 0.51/0.93 (step @p1216 :rule not_implies_elim2 :premises (@p1215)) % 0.51/0.93 (step @p1217 :rule not_implies_elim2 :premises (@p1216)) % 0.51/0.93 (step @p1218 :rule not_implies_elim2 :premises (@p1217)) % 0.51/0.93 (step @p1219 :rule not_implies_elim2 :premises (@p1218)) % 0.51/0.93 (step @p1220 :rule not_implies_elim2 :premises (@p1219)) % 0.51/0.93 (step @p1221 :rule not_implies_elim2 :premises (@p1220)) % 0.51/0.93 (step @p1222 :rule not_implies_elim2 :premises (@p1221)) % 0.51/0.93 (step @p1223 :rule not_implies_elim2 :premises (@p1222)) % 0.51/0.93 (step @p1224 :rule not_implies_elim2 :premises (@p1223)) % 0.51/0.93 (step @p1225 :rule not_implies_elim2 :premises (@p1224)) % 0.51/0.93 (step @p1226 :rule not_implies_elim2 :premises (@p1225)) % 0.51/0.93 (step @p1227 :rule not_implies_elim2 :premises (@p1226)) % 0.51/0.93 (step @p1228 :rule not_implies_elim2 :premises (@p1227)) % 0.51/0.93 (step @p1229 :rule not_implies_elim2 :premises (@p1228)) % 0.51/0.93 (step @p1230 :rule not_implies_elim2 :premises (@p1229)) % 0.51/0.93 (step @p1231 :rule not_implies_elim2 :premises (@p1230)) % 0.51/0.93 (step @p1232 :rule not_implies_elim2 :premises (@p1231)) % 0.51/0.93 (step @p1233 :rule not_implies_elim2 :premises (@p1232)) % 0.51/0.93 (step @p1234 :rule cong :premises (@p443 @p386) :args (@t275)) % 0.51/0.93 (step @p1235 :rule eq_resolve :premises (@p254 @p1234)) % 0.51/0.93 (step @p1236 :rule not_implies_elim1 :premises (@p1205)) % 0.51/0.93 (step @p1237 :rule eq_resolve :premises (@p1236 @p1235)) % 0.51/0.93 (step @p1238 :rule cnf_implies_neg2 :args ((=> tptp.woz1_3 @t613))) % 0.51/0.93 (step @p1239 :rule resolution :premises (@p1238 @p1237) :args (false @t613)) % 0.51/0.93 (step @p1240 false :rule contra :premises (@p1239 @p1233)) % 0.51/0.93 ) % 0.51/0.93 % SZS output end Proof % 0.51/0.93 % cvc5 exiting %------------------------------------------------------------------------------