%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU669^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:52:39 AM UTC 2026 % Result : Theorem 1.02s 1.25s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU669^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:46:16 EDT 2026 % 0.15/0.34 % CPUTime : % 0.40/0.57 %----Proving TH0 % 1.02/1.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.02/1.25 % SZS status Theorem % 1.02/1.25 % SZS output start Proof % 1.02/1.25 ( % 1.02/1.25 (declare-sort $$unsorted 0) % 1.02/1.25 (declare-const tptp.emptyset $$unsorted) % 1.02/1.25 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.02/1.25 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.dpsetconstrERa Bool) % 1.02/1.25 (declare-const tptp.setOfPairsIsBReln Bool) % 1.02/1.25 (declare-const tptp.dpsetconstrI Bool) % 1.02/1.25 (declare-const tptp.cartprodpairsurjEq Bool) % 1.02/1.25 (declare-const tptp.cartprodsndpairEq Bool) % 1.02/1.25 (declare-const tptp.cartprodfstpairEq Bool) % 1.02/1.25 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.setukpairinjR Bool) % 1.02/1.25 (declare-const tptp.setukpairinjR2 Bool) % 1.02/1.25 (declare-const tptp.upairequniteq Bool) % 1.02/1.25 (declare-const tptp.setukpairinjR11 Bool) % 1.02/1.25 (declare-const tptp.setukpairinjL Bool) % 1.02/1.25 (declare-const tptp.kfstpairEq Bool) % 1.02/1.25 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.kfstsingleton Bool) % 1.02/1.25 (declare-const tptp.setukpairinjL1 Bool) % 1.02/1.25 (declare-const tptp.setunionsingleton Bool) % 1.02/1.25 (declare-const tptp.kpairsurjEq Bool) % 1.02/1.25 (declare-const tptp.setunionE2 Bool) % 1.02/1.25 (declare-const tptp.ksndpairEq Bool) % 1.02/1.25 (declare-const tptp.cartprodmempair Bool) % 1.02/1.25 (declare-const tptp.ubforcartprodlem3 Bool) % 1.02/1.25 (declare-const tptp.ubforcartprodlem2 Bool) % 1.02/1.25 (declare-const tptp.upairsubunion Bool) % 1.02/1.25 (declare-const tptp.singletoninpowunion Bool) % 1.02/1.25 (declare-const tptp.singletoninpowerset Bool) % 1.02/1.25 (declare-const tptp.setukpairIR Bool) % 1.02/1.25 (declare-const tptp.secondinupair Bool) % 1.02/1.25 (declare-const tptp.symdiffIneg2 Bool) % 1.02/1.25 (declare-const tptp.ex1I Bool) % 1.02/1.25 (declare-const tptp.symdiffI2 Bool) % 1.02/1.25 (declare-const tptp.symdiffI1 Bool) % 1.02/1.25 (declare-const tptp.setminusIRneg Bool) % 1.02/1.25 (declare-const tptp.setminusILneg Bool) % 1.02/1.25 (declare-const tptp.setminusERneg Bool) % 1.02/1.25 (declare-const tptp.setminusI Bool) % 1.02/1.25 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.setukpairinjL2 Bool) % 1.02/1.25 (declare-const tptp.emptyE1 Bool) % 1.02/1.25 (declare-const tptp.upairset2E Bool) % 1.02/1.25 (declare-const tptp.inPowerset Bool) % 1.02/1.25 (declare-const tptp.upairsetIR Bool) % 1.02/1.25 (declare-const tptp.setunion__Cong Bool) % 1.02/1.25 (declare-const tptp.cartprodfstin Bool) % 1.02/1.25 (declare-const tptp.powersetE1 Bool) % 1.02/1.25 (declare-const tptp.singletonsswitch Bool) % 1.02/1.25 (declare-const tptp.subset2powerset Bool) % 1.02/1.25 (declare-const tptp.notinsingleton Bool) % 1.02/1.25 (declare-const tptp.subPowSU Bool) % 1.02/1.25 (declare-const tptp.binintersectSubset5 Bool) % 1.02/1.25 (declare-const tptp.exuE1 Bool) % 1.02/1.25 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.setunionI Bool) % 1.02/1.25 (declare-const tptp.ksndsingleton Bool) % 1.02/1.25 (declare-const tptp.notdexE Bool) % 1.02/1.25 (declare-const tptp.powersetE Bool) % 1.02/1.25 (declare-const tptp.omegaSAx Bool) % 1.02/1.25 (declare-const tptp.setadjoinE Bool) % 1.02/1.25 (declare-const tptp.emptyinunitempty Bool) % 1.02/1.25 (declare-const tptp.setminusEL Bool) % 1.02/1.25 (declare-const tptp.descr__Cong Bool) % 1.02/1.25 (declare-const tptp.nonemptyI1 Bool) % 1.02/1.25 (declare-const tptp.emptysetAx Bool) % 1.02/1.25 (declare-const tptp.singletonprop Bool) % 1.02/1.25 (declare-const tptp.nonemptyI Bool) % 1.02/1.25 (declare-const tptp.upairsetIL Bool) % 1.02/1.25 (declare-const tptp.powersetI1 Bool) % 1.02/1.25 (declare-const tptp.kpairp Bool) % 1.02/1.25 (declare-const tptp.eqinunit Bool) % 1.02/1.25 (declare-const tptp.noeltsimpempty Bool) % 1.02/1.25 (declare-const tptp.upairsetE Bool) % 1.02/1.25 (declare-const tptp.dpsetconstrSub Bool) % 1.02/1.25 (declare-const tptp.replAx Bool) % 1.02/1.25 (declare-const tptp.powersetI Bool) % 1.02/1.25 (declare-const tptp.quantDeMorgan4 Bool) % 1.02/1.25 (declare-const tptp.ex1E1 Bool) % 1.02/1.25 (declare-const tptp.setunionE Bool) % 1.02/1.25 (declare-const tptp.omegaIndAx Bool) % 1.02/1.25 (declare-const tptp.setunionAx Bool) % 1.02/1.25 (declare-const tptp.setoftrueEq Bool) % 1.02/1.25 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.setukpairinjR12 Bool) % 1.02/1.25 (declare-const tptp.upairset2IR Bool) % 1.02/1.25 (declare-const tptp.setminusELneg Bool) % 1.02/1.25 (declare-const tptp.powersetAx Bool) % 1.02/1.25 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.emptyI Bool) % 1.02/1.25 (declare-const tptp.subsetemptysetimpeq Bool) % 1.02/1.25 (declare-const tptp.setminusER Bool) % 1.02/1.25 (declare-const tptp.setadjoinAx Bool) % 1.02/1.25 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.omega $$unsorted) % 1.02/1.25 (declare-const tptp.emptyInPowerset Bool) % 1.02/1.25 (declare-const tptp.eqimpsubset1 Bool) % 1.02/1.25 (declare-const tptp.cartprodpairin Bool) % 1.02/1.25 (declare-const tptp.binunionE Bool) % 1.02/1.25 (declare-const tptp.dsetconstrER Bool) % 1.02/1.25 (declare-const tptp.notdallE Bool) % 1.02/1.25 (declare-const tptp.cartprodmempair1 Bool) % 1.02/1.25 (declare-const tptp.binunionRsub Bool) % 1.02/1.25 (declare-const tptp.cartprodpairmemEL Bool) % 1.02/1.25 (declare-const tptp.emptysetimpfalse Bool) % 1.02/1.25 (declare-const tptp.foundationAx Bool) % 1.02/1.25 (declare-const tptp.exuE2 Bool) % 1.02/1.25 (declare-const tptp.notinemptyset Bool) % 1.02/1.25 (declare-const tptp.singletonsuniq Bool) % 1.02/1.25 (declare-const tptp.subsetRefl Bool) % 1.02/1.25 (declare-const tptp.uniqinunit Bool) % 1.02/1.25 (declare-const tptp.cartprodpairmemER Bool) % 1.02/1.25 (declare-const tptp.exuE3u Bool) % 1.02/1.25 (declare-const tptp.setukpairIL Bool) % 1.02/1.25 (declare-const tptp.subsetTrans Bool) % 1.02/1.25 (declare-const tptp.setadjoinOr Bool) % 1.02/1.25 (declare-const tptp.wellorderingAx Bool) % 1.02/1.25 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.02/1.25 (declare-const tptp.vacuousDall Bool) % 1.02/1.25 (declare-const tptp.upairinpowunion Bool) % 1.02/1.25 (declare-const tptp.sepInPowerset Bool) % 1.02/1.25 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.nonemptyImpWitness Bool) % 1.02/1.25 (declare-const tptp.binintersectLsub Bool) % 1.02/1.25 (declare-const tptp.dsetconstrI Bool) % 1.02/1.25 (declare-const tptp.setminusSubset1 Bool) % 1.02/1.25 (declare-const tptp.emptyinPowerset Bool) % 1.02/1.25 (declare-const tptp.prop2setI Bool) % 1.02/1.25 (declare-const tptp.dsetconstrEL Bool) % 1.02/1.25 (declare-const tptp.prop2set2propI Bool) % 1.02/1.25 (declare-const tptp.binunionLsub Bool) % 1.02/1.25 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.02/1.25 (declare-const tptp.exuI2 Bool) % 1.02/1.25 (declare-const tptp.prop2setE Bool) % 1.02/1.25 (declare-const tptp.exuEu Bool) % 1.02/1.25 (declare-const tptp.setadjoinIL Bool) % 1.02/1.25 (declare-const tptp.omega__Cong Bool) % 1.02/1.25 (declare-const tptp.cartprodsndin Bool) % 1.02/1.25 (declare-const tptp.emptysetE Bool) % 1.02/1.25 (declare-const tptp.symdiffIneg1 Bool) % 1.02/1.25 (declare-const tptp.notequalI1 Bool) % 1.02/1.25 (declare-const tptp.ubforcartprodlem1 Bool) % 1.02/1.25 (declare-const tptp.quantDeMorgan1 Bool) % 1.02/1.25 (declare-const tptp.setminusSubset2 Bool) % 1.02/1.25 (declare-const tptp.setadjoinIR Bool) % 1.02/1.25 (declare-const tptp.dsetconstr__Cong Bool) % 1.02/1.25 (declare-const tptp.sepSubset Bool) % 1.02/1.25 (declare-const tptp.quantDeMorgan2 Bool) % 1.02/1.25 (declare-const tptp.subsetI1 Bool) % 1.02/1.25 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.subsetE Bool) % 1.02/1.25 (declare-const tptp.exuI3 Bool) % 1.02/1.25 (declare-const tptp.subsetE2 Bool) % 1.02/1.25 (declare-const tptp.inCongP Bool) % 1.02/1.25 (declare-const tptp.setunionsingleton1 Bool) % 1.02/1.25 (declare-const tptp.in__Cong Bool) % 1.02/1.25 (declare-const tptp.cartprodmempaircEq Bool) % 1.02/1.25 (declare-const tptp.exu__Cong Bool) % 1.02/1.25 (declare-const tptp.setunionsingleton2 Bool) % 1.02/1.25 (declare-const tptp.exuE3e Bool) % 1.02/1.25 (declare-const tptp.binintersectSubset3 Bool) % 1.02/1.25 (declare-const tptp.setadjoin__Cong Bool) % 1.02/1.25 (declare-const tptp.emptyset__Cong Bool) % 1.02/1.25 (declare-const tptp.binintersectRsub Bool) % 1.02/1.25 (declare-const tptp.nonemptyE1 Bool) % 1.02/1.25 (declare-const tptp.setextAx Bool) % 1.02/1.25 (declare-const tptp.powerset__Cong Bool) % 1.02/1.25 (declare-const tptp.bs114d Bool) % 1.02/1.25 (declare-const tptp.setminusLsub Bool) % 1.02/1.25 (declare-const tptp.eqimpsubset2 Bool) % 1.02/1.25 (declare-const tptp.symdiffE Bool) % 1.02/1.25 (declare-const tptp.omega0Ax Bool) % 1.02/1.25 (declare-const tptp.subsetI2 Bool) % 1.02/1.25 (declare-const tptp.emptysetsubset Bool) % 1.02/1.25 (declare-const tptp.notsubsetI Bool) % 1.02/1.25 (declare-const tptp.ex1I2 Bool) % 1.02/1.25 (declare-const tptp.notequalI2 Bool) % 1.02/1.25 (declare-const tptp.setadjoinSub Bool) % 1.02/1.25 (declare-const tptp.kpairiskpair Bool) % 1.02/1.25 (declare-const tptp.setadjoinSub2 Bool) % 1.02/1.25 (declare-const tptp.disjointsetsI1 Bool) % 1.02/1.25 (declare-const tptp.theprop Bool) % 1.02/1.25 (declare-const tptp.singletonsubset Bool) % 1.02/1.25 (declare-const tptp.setextsub Bool) % 1.02/1.25 (declare-const tptp.setbeta Bool) % 1.02/1.25 (declare-const tptp.binintersectSubset4 Bool) % 1.02/1.25 (declare-const tptp.powersetsubset Bool) % 1.02/1.25 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.binunionIL Bool) % 1.02/1.25 (declare-const tptp.binunionIR Bool) % 1.02/1.25 (declare-const tptp.setukpairinjR1 Bool) % 1.02/1.25 (declare-const tptp.descrp Bool) % 1.02/1.25 (declare-const tptp.quantDeMorgan3 Bool) % 1.02/1.25 (declare-const tptp.binunionEcases Bool) % 1.02/1.25 (declare-const tptp.exuI1 Bool) % 1.02/1.25 (declare-const tptp.binintersectI Bool) % 1.02/1.25 (declare-const tptp.binintersectEL Bool) % 1.02/1.25 (declare-const tptp.binintersectSubset2 Bool) % 1.02/1.25 (declare-const tptp.setext Bool) % 1.02/1.25 (declare-const tptp.binintersectER Bool) % 1.02/1.25 (declare-const tptp.binintersectSubset1 Bool) % 1.02/1.25 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 1.02/1.25 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.02/1.25 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 1.02/1.25 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 1.02/1.25 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 1.02/1.25 (define tptp.dpsetconstr () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xu" $$unsorted))) (let ((_let_4 (@var "Xphi" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (@var "B" $$unsorted))) (let ((_let_6 (@var "A" $$unsorted))) (lambda (@list _let_6 _let_5 _let_4) (_ (_ tptp.dsetconstr (_ (_ tptp.cartprod _let_6) _let_5)) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_6) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (_ (_ _let_4 _let_2) _let_1) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1)))))))))))))))) % 1.02/1.25 (define @t1 () (@var "B" $$unsorted)) % 1.02/1.25 (define @t2 () (@var "A" $$unsorted)) % 1.02/1.25 (define @t3 () (= @t2 @t1)) % 1.02/1.25 (define @t4 () (@var "Xx" $$unsorted)) % 1.02/1.25 (define @t5 () (_ tptp.in @t4)) % 1.02/1.25 (define @t6 () (_ @t5 @t1)) % 1.02/1.25 (define @t7 () (_ @t5 @t2)) % 1.02/1.25 (define @t8 () (= @t7 @t6)) % 1.02/1.25 (define @t9 () (@list @t4)) % 1.02/1.25 (define @t10 () (forall @t9 @t8)) % 1.02/1.25 (define @t11 () (=> @t10 @t3)) % 1.02/1.25 (define @t12 () (@list @t2 @t1)) % 1.02/1.25 (define @t13 () (forall @t12 @t11)) % 1.02/1.25 (define @t14 () (= tptp.setextAx @t13)) % 1.02/1.25 (define @t15 () (_ @t5 tptp.emptyset)) % 1.02/1.25 (define @t16 () (not @t15)) % 1.02/1.25 (define @t17 () (forall @t9 @t16)) % 1.02/1.25 (define @t18 () (= tptp.emptysetAx @t17)) % 1.02/1.25 (define @t19 () (@var "Xy" $$unsorted)) % 1.02/1.25 (define @t20 () (_ tptp.in @t19)) % 1.02/1.25 (define @t21 () (_ @t20 @t2)) % 1.02/1.25 (define @t22 () (= @t19 @t4)) % 1.02/1.25 (define @t23 () (or @t22 @t21)) % 1.02/1.25 (define @t24 () (_ tptp.setadjoin @t4)) % 1.02/1.25 (define @t25 () (_ @t24 @t2)) % 1.02/1.25 (define @t26 () (_ @t20 @t25)) % 1.02/1.25 (define @t27 () (= @t26 @t23)) % 1.02/1.25 (define @t28 () (@list @t4 @t2 @t19)) % 1.02/1.25 (define @t29 () (forall @t28 @t27)) % 1.02/1.25 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.02/1.25 (define @t31 () (=> @t6 @t7)) % 1.02/1.25 (define @t32 () (forall @t9 @t31)) % 1.02/1.25 (define @t33 () (_ tptp.powerset @t2)) % 1.02/1.25 (define @t34 () (_ tptp.in @t1)) % 1.02/1.25 (define @t35 () (_ @t34 @t33)) % 1.02/1.25 (define @t36 () (= @t35 @t32)) % 1.02/1.25 (define @t37 () (forall @t12 @t36)) % 1.02/1.25 (define @t38 () (= tptp.powersetAx @t37)) % 1.02/1.25 (define @t39 () (_ @t34 @t2)) % 1.02/1.25 (define @t40 () (and @t6 @t39)) % 1.02/1.25 (define @t41 () (@list @t1)) % 1.02/1.25 (define @t42 () (exists @t41 @t40)) % 1.02/1.25 (define @t43 () (_ tptp.setunion @t2)) % 1.02/1.25 (define @t44 () (_ @t5 @t43)) % 1.02/1.25 (define @t45 () (= @t44 @t42)) % 1.02/1.25 (define @t46 () (@list @t2 @t4)) % 1.02/1.25 (define @t47 () (forall @t46 @t45)) % 1.02/1.25 (define @t48 () (= tptp.setunionAx @t47)) % 1.02/1.25 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.02/1.25 (define @t50 () (_ @t49 tptp.omega)) % 1.02/1.25 (define @t51 () (_ @t24 @t4)) % 1.02/1.25 (define @t52 () (_ tptp.in @t51)) % 1.02/1.25 (define @t53 () (_ @t52 tptp.omega)) % 1.02/1.25 (define @t54 () (_ @t5 tptp.omega)) % 1.02/1.25 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.02/1.25 (define @t56 () (= tptp.omegaSAx @t55)) % 1.02/1.25 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.02/1.25 (define @t58 () (_ @t52 @t2)) % 1.02/1.25 (define @t59 () (and @t54 @t7)) % 1.02/1.25 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.02/1.25 (define @t61 () (_ @t49 @t2)) % 1.02/1.25 (define @t62 () (and @t61 @t60)) % 1.02/1.25 (define @t63 () (=> @t62 @t57)) % 1.02/1.25 (define @t64 () (@list @t2)) % 1.02/1.25 (define @t65 () (forall @t64 @t63)) % 1.02/1.25 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.02/1.25 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.02/1.25 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.02/1.25 (define @t69 () (and @t21 @t68)) % 1.02/1.25 (define @t70 () (@list @t19)) % 1.02/1.25 (define @t71 () (exists @t70 @t69)) % 1.02/1.25 (define @t72 () (= @t6 @t71)) % 1.02/1.25 (define @t73 () (forall @t9 @t72)) % 1.02/1.25 (define @t74 () (exists @t41 @t73)) % 1.02/1.25 (define @t75 () (_ @t67 @t4)) % 1.02/1.25 (define @t76 () (_ @t75 @t19)) % 1.02/1.25 (define @t77 () (lambda @t70 @t76)) % 1.02/1.25 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.02/1.25 (define @t79 () (forall @t9 @t78)) % 1.02/1.25 (define @t80 () (=> @t79 @t74)) % 1.02/1.25 (define @t81 () (@list @t67 @t2)) % 1.02/1.25 (define @t82 () (forall @t81 @t80)) % 1.02/1.25 (define @t83 () (= tptp.replAx @t82)) % 1.02/1.25 (define @t84 () (and @t6 @t7)) % 1.02/1.25 (define @t85 () (exists @t9 @t84)) % 1.02/1.25 (define @t86 () (not @t85)) % 1.02/1.25 (define @t87 () (and @t39 @t86)) % 1.02/1.25 (define @t88 () (exists @t41 @t87)) % 1.02/1.25 (define @t89 () (exists @t9 @t7)) % 1.02/1.25 (define @t90 () (=> @t89 @t88)) % 1.02/1.25 (define @t91 () (forall @t64 @t90)) % 1.02/1.25 (define @t92 () (= tptp.foundationAx @t91)) % 1.02/1.25 (define @t93 () (@var "E" $$unsorted)) % 1.02/1.25 (define @t94 () (_ @t5 @t93)) % 1.02/1.25 (define @t95 () (@var "D" $$unsorted)) % 1.02/1.25 (define @t96 () (_ @t20 @t95)) % 1.02/1.25 (define @t97 () (_ @t20 @t93)) % 1.02/1.25 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.02/1.25 (define @t99 () (or @t98 @t94)) % 1.02/1.25 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.02/1.25 (define @t101 () (=> @t100 @t99)) % 1.02/1.25 (define @t102 () (@list @t93)) % 1.02/1.25 (define @t103 () (forall @t102 @t101)) % 1.02/1.25 (define @t104 () (@var "C" $$unsorted)) % 1.02/1.25 (define @t105 () (_ @t20 @t104)) % 1.02/1.25 (define @t106 () (and @t96 @t105)) % 1.02/1.25 (define @t107 () (exists @t70 @t106)) % 1.02/1.25 (define @t108 () (not @t107)) % 1.02/1.25 (define @t109 () (_ @t5 @t104)) % 1.02/1.25 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.02/1.25 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.02/1.25 (define @t112 () (@list @t95 @t4)) % 1.02/1.25 (define @t113 () (exists @t112 @t111)) % 1.02/1.25 (define @t114 () (exists @t9 @t109)) % 1.02/1.25 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.02/1.25 (define @t116 () (and @t115 @t114)) % 1.02/1.25 (define @t117 () (=> @t116 @t113)) % 1.02/1.25 (define @t118 () (@list @t104)) % 1.02/1.25 (define @t119 () (forall @t118 @t117)) % 1.02/1.25 (define @t120 () (_ @t5 @t95)) % 1.02/1.25 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.02/1.25 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.02/1.25 (define @t123 () (or @t122 @t121)) % 1.02/1.25 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.02/1.25 (define @t125 () (and @t124 @t110)) % 1.02/1.25 (define @t126 () (=> @t125 @t123)) % 1.02/1.25 (define @t127 () (@list @t104 @t95)) % 1.02/1.25 (define @t128 () (forall @t127 @t126)) % 1.02/1.25 (define @t129 () (= @t4 @t19)) % 1.02/1.25 (define @t130 () (= @t109 @t105)) % 1.02/1.25 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.02/1.25 (define @t132 () (=> @t131 @t129)) % 1.02/1.25 (define @t133 () (and @t7 @t21)) % 1.02/1.25 (define @t134 () (=> @t133 @t132)) % 1.02/1.25 (define @t135 () (@list @t4 @t19)) % 1.02/1.25 (define @t136 () (forall @t135 @t134)) % 1.02/1.25 (define @t137 () (=> @t124 @t115)) % 1.02/1.25 (define @t138 () (forall @t118 @t137)) % 1.02/1.25 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.02/1.25 (define @t140 () (exists @t41 @t139)) % 1.02/1.25 (define @t141 () (forall @t64 @t140)) % 1.02/1.25 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.02/1.25 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.02/1.25 (define @t144 () (_ @t143 @t4)) % 1.02/1.25 (define @t145 () (lambda @t9 @t144)) % 1.02/1.25 (define @t146 () (_ tptp.descr @t145)) % 1.02/1.25 (define @t147 () (_ @t143 @t146)) % 1.02/1.25 (define @t148 () (_ tptp.exu @t145)) % 1.02/1.25 (define @t149 () (=> @t148 @t147)) % 1.02/1.25 (define @t150 () (@list @t143)) % 1.02/1.25 (define @t151 () (forall @t150 @t149)) % 1.02/1.25 (define @t152 () (= tptp.descrp @t151)) % 1.02/1.25 (define @t153 () (_ @t143 @t19)) % 1.02/1.25 (define @t154 () (lambda @t70 @t153)) % 1.02/1.25 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.02/1.25 (define @t156 () (_ @t155 @t154)) % 1.02/1.25 (define @t157 () (_ @t5 @t156)) % 1.02/1.25 (define @t158 () (=> @t144 @t157)) % 1.02/1.25 (define @t159 () (@list @t2 @t143 @t4)) % 1.02/1.25 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.02/1.25 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.02/1.25 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.02/1.25 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.02/1.25 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.02/1.25 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.02/1.25 (define @t166 () (=> @t153 @t129)) % 1.02/1.25 (define @t167 () (forall @t70 @t166)) % 1.02/1.25 (define @t168 () (and @t144 @t167)) % 1.02/1.25 (define @t169 () (exists @t9 @t168)) % 1.02/1.25 (define @t170 () (=> @t148 @t169)) % 1.02/1.25 (define @t171 () (forall @t150 @t170)) % 1.02/1.25 (define @t172 () (= tptp.exuE1 @t171)) % 1.02/1.25 (define @t173 () (@var "Xphi" Bool)) % 1.02/1.25 (define @t174 () (_ tptp.prop2set @t173)) % 1.02/1.25 (define @t175 () (_ @t5 @t174)) % 1.02/1.25 (define @t176 () (@list @t173 @t4)) % 1.02/1.25 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.02/1.25 (define @t178 () (= tptp.prop2setE @t177)) % 1.02/1.25 (define @t179 () (@list @t173)) % 1.02/1.25 (define @t180 () (forall @t179 @t173)) % 1.02/1.25 (define @t181 () (=> @t15 @t180)) % 1.02/1.25 (define @t182 () (forall @t9 @t181)) % 1.02/1.25 (define @t183 () (= tptp.emptysetE @t182)) % 1.02/1.25 (define @t184 () (forall @t9 (=> @t15 false))) % 1.02/1.25 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.02/1.25 (define @t186 () (exists @t9 @t144)) % 1.02/1.25 (define @t187 () (=> @t148 @t186)) % 1.02/1.25 (define @t188 () (forall @t150 @t187)) % 1.02/1.25 (define @t189 () (= tptp.exuE3e @t188)) % 1.02/1.25 (define @t190 () (=> @t32 @t3)) % 1.02/1.25 (define @t191 () (=> @t7 @t6)) % 1.02/1.25 (define @t192 () (forall @t9 @t191)) % 1.02/1.25 (define @t193 () (=> @t192 @t190)) % 1.02/1.25 (define @t194 () (forall @t12 @t193)) % 1.02/1.25 (define @t195 () (= tptp.setext @t194)) % 1.02/1.25 (define @t196 () (= @t2 tptp.emptyset)) % 1.02/1.25 (define @t197 () (not @t7)) % 1.02/1.25 (define @t198 () (forall @t9 @t197)) % 1.02/1.25 (define @t199 () (=> @t198 @t196)) % 1.02/1.25 (define @t200 () (forall @t64 @t199)) % 1.02/1.25 (define @t201 () (= tptp.emptyI @t200)) % 1.02/1.25 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.02/1.25 (define @t203 () (forall @t159 @t202)) % 1.02/1.25 (define @t204 () (= tptp.setbeta @t203)) % 1.02/1.25 (define @t205 () (_ tptp.nonempty @t2)) % 1.02/1.25 (define @t206 () (=> @t205 @t89)) % 1.02/1.25 (define @t207 () (forall @t64 @t206)) % 1.02/1.25 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.02/1.25 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.02/1.25 (define @t210 () (=> @t7 @t209)) % 1.02/1.25 (define @t211 () (forall @t159 @t210)) % 1.02/1.25 (define @t212 () (= tptp.nonemptyI @t211)) % 1.02/1.25 (define @t213 () (=> @t89 @t205)) % 1.02/1.25 (define @t214 () (forall @t64 @t213)) % 1.02/1.25 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.02/1.25 (define @t216 () (_ @t24 @t19)) % 1.02/1.25 (define @t217 () (_ @t5 @t216)) % 1.02/1.25 (define @t218 () (forall @t135 @t217)) % 1.02/1.25 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.02/1.25 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.02/1.25 (define @t221 () (_ @t49 @t220)) % 1.02/1.25 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.02/1.25 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.02/1.25 (define @t224 () (=> @t21 @t173)) % 1.02/1.25 (define @t225 () (=> @t224 @t173)) % 1.02/1.25 (define @t226 () (=> @t22 @t173)) % 1.02/1.25 (define @t227 () (=> @t226 @t225)) % 1.02/1.25 (define @t228 () (forall @t179 @t227)) % 1.02/1.25 (define @t229 () (=> @t26 @t228)) % 1.02/1.25 (define @t230 () (forall @t28 @t229)) % 1.02/1.25 (define @t231 () (= tptp.setadjoinE @t230)) % 1.02/1.25 (define @t232 () (=> @t26 @t23)) % 1.02/1.25 (define @t233 () (forall @t28 @t232)) % 1.02/1.25 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.02/1.25 (define @t235 () (lambda @t9 true)) % 1.02/1.25 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.02/1.25 (define @t237 () (forall @t64 @t236)) % 1.02/1.25 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.02/1.25 (define @t239 () (=> @t32 @t35)) % 1.02/1.25 (define @t240 () (forall @t12 @t239)) % 1.02/1.25 (define @t241 () (= tptp.powersetI @t240)) % 1.02/1.25 (define @t242 () (_ @t49 @t33)) % 1.02/1.25 (define @t243 () (forall @t64 @t242)) % 1.02/1.25 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.02/1.25 (define @t245 () (@list @t2 @t1 @t4)) % 1.02/1.25 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.02/1.25 (define @t247 () (= tptp.powersetE @t246)) % 1.02/1.25 (define @t248 () (=> @t39 @t44)) % 1.02/1.25 (define @t249 () (@list @t2 @t4 @t1)) % 1.02/1.25 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.02/1.25 (define @t251 () (= tptp.setunionI @t250)) % 1.02/1.25 (define @t252 () (=> @t39 @t173)) % 1.02/1.25 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.02/1.25 (define @t254 () (=> @t253 @t173)) % 1.02/1.25 (define @t255 () (forall @t179 @t254)) % 1.02/1.25 (define @t256 () (=> @t44 @t255)) % 1.02/1.25 (define @t257 () (forall @t46 @t256)) % 1.02/1.25 (define @t258 () (= tptp.setunionE @t257)) % 1.02/1.25 (define @t259 () (_ tptp.powerset @t43)) % 1.02/1.25 (define @t260 () (_ @t5 @t259)) % 1.02/1.25 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.02/1.25 (define @t262 () (= tptp.subPowSU @t261)) % 1.02/1.25 (define @t263 () (= @t153 @t22)) % 1.02/1.25 (define @t264 () (forall @t70 @t263)) % 1.02/1.25 (define @t265 () (exists @t9 @t264)) % 1.02/1.25 (define @t266 () (=> @t148 @t265)) % 1.02/1.25 (define @t267 () (forall @t150 @t266)) % 1.02/1.25 (define @t268 () (= tptp.exuE2 @t267)) % 1.02/1.25 (define @t269 () (and @t7 true)) % 1.02/1.25 (define @t270 () (exists @t9 @t269)) % 1.02/1.25 (define @t271 () (=> @t205 @t270)) % 1.02/1.25 (define @t272 () (forall @t64 @t271)) % 1.02/1.25 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.02/1.25 (define @t274 () (_ tptp.setadjoin @t19)) % 1.02/1.25 (define @t275 () (_ @t274 tptp.emptyset)) % 1.02/1.25 (define @t276 () (_ @t5 @t275)) % 1.02/1.25 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.02/1.25 (define @t278 () (= tptp.uniqinunit @t277)) % 1.02/1.25 (define @t279 () (_ @t24 tptp.emptyset)) % 1.02/1.25 (define @t280 () (_ @t20 @t279)) % 1.02/1.25 (define @t281 () (not @t280)) % 1.02/1.25 (define @t282 () (not @t129)) % 1.02/1.25 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.02/1.25 (define @t284 () (= tptp.notinsingleton @t283)) % 1.02/1.25 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.02/1.25 (define @t286 () (= tptp.eqinunit @t285)) % 1.02/1.25 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.02/1.25 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.02/1.25 (define @t289 () (@var "Xz" $$unsorted)) % 1.02/1.25 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 1.02/1.25 (define @t291 () (_ @t24 @t275)) % 1.02/1.25 (define @t292 () (_ tptp.in @t289)) % 1.02/1.25 (define @t293 () (_ @t292 @t291)) % 1.02/1.25 (define @t294 () (=> @t293 @t290)) % 1.02/1.25 (define @t295 () (@list @t4 @t19 @t289)) % 1.02/1.25 (define @t296 () (forall @t295 @t294)) % 1.02/1.25 (define @t297 () (= tptp.upairsetE @t296)) % 1.02/1.25 (define @t298 () (_ @t5 @t291)) % 1.02/1.25 (define @t299 () (forall @t135 @t298)) % 1.02/1.25 (define @t300 () (= tptp.upairsetIL @t299)) % 1.02/1.25 (define @t301 () (_ @t20 @t291)) % 1.02/1.25 (define @t302 () (forall @t135 @t301)) % 1.02/1.25 (define @t303 () (= tptp.upairsetIR @t302)) % 1.02/1.25 (define @t304 () (_ @t155 @t145)) % 1.02/1.25 (define @t305 () (= @t304 tptp.emptyset)) % 1.02/1.25 (define @t306 () (and @t7 @t144)) % 1.02/1.25 (define @t307 () (exists @t9 @t306)) % 1.02/1.25 (define @t308 () (=> @t307 (=> @t305 false))) % 1.02/1.25 (define @t309 () (@list @t2 @t143)) % 1.02/1.25 (define @t310 () (forall @t309 @t308)) % 1.02/1.25 (define @t311 () (= tptp.emptyE1 @t310)) % 1.02/1.25 (define @t312 () (@list @t143 @t4)) % 1.02/1.25 (define @t313 () (forall @t312 (=> @t15 @t144))) % 1.02/1.25 (define @t314 () (= tptp.vacuousDall @t313)) % 1.02/1.25 (define @t315 () (not @t144)) % 1.02/1.25 (define @t316 () (and @t7 @t315)) % 1.02/1.25 (define @t317 () (exists @t9 @t316)) % 1.02/1.25 (define @t318 () (forall @t9 (=> @t7 @t144))) % 1.02/1.25 (define @t319 () (not @t318)) % 1.02/1.25 (define @t320 () (=> @t319 @t317)) % 1.02/1.25 (define @t321 () (forall @t309 @t320)) % 1.02/1.25 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 1.02/1.25 (define @t323 () (not @t307)) % 1.02/1.25 (define @t324 () (forall @t9 (=> @t7 @t315))) % 1.02/1.25 (define @t325 () (=> @t324 @t323)) % 1.02/1.25 (define @t326 () (forall @t309 @t325)) % 1.02/1.25 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 1.02/1.25 (define @t328 () (=> @t323 @t324)) % 1.02/1.25 (define @t329 () (forall @t309 @t328)) % 1.02/1.25 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 1.02/1.25 (define @t331 () (=> @t317 @t319)) % 1.02/1.25 (define @t332 () (forall @t309 @t331)) % 1.02/1.25 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 1.02/1.25 (define @t334 () (_ @t49 @t174)) % 1.02/1.25 (define @t335 () (forall @t179 (=> @t173 @t334))) % 1.02/1.25 (define @t336 () (= tptp.prop2setI @t335)) % 1.02/1.25 (define @t337 () (_ tptp.set2prop @t174)) % 1.02/1.25 (define @t338 () (forall @t179 (=> @t173 @t337))) % 1.02/1.25 (define @t339 () (= tptp.prop2set2propI @t338)) % 1.02/1.25 (define @t340 () (=> @t169 @t148)) % 1.02/1.25 (define @t341 () (forall @t150 @t340)) % 1.02/1.25 (define @t342 () (= tptp.exuI1 @t341)) % 1.02/1.25 (define @t343 () (=> @t144 @t166)) % 1.02/1.25 (define @t344 () (forall @t135 @t343)) % 1.02/1.25 (define @t345 () (=> @t344 @t148)) % 1.02/1.25 (define @t346 () (=> @t186 @t345)) % 1.02/1.25 (define @t347 () (forall @t150 @t346)) % 1.02/1.25 (define @t348 () (= tptp.exuI3 @t347)) % 1.02/1.25 (define @t349 () (=> @t265 @t148)) % 1.02/1.25 (define @t350 () (forall @t150 @t349)) % 1.02/1.25 (define @t351 () (= tptp.exuI2 @t350)) % 1.02/1.25 (define @t352 () (_ @t20 @t1)) % 1.02/1.25 (define @t353 () (=> @t7 @t352)) % 1.02/1.25 (define @t354 () (forall @t135 (=> @t129 @t353))) % 1.02/1.25 (define @t355 () (=> @t3 @t354)) % 1.02/1.25 (define @t356 () (forall @t12 @t355)) % 1.02/1.25 (define @t357 () (= tptp.inCongP @t356)) % 1.02/1.25 (define @t358 () (= @t7 @t352)) % 1.02/1.25 (define @t359 () (forall @t135 (=> @t129 @t358))) % 1.02/1.25 (define @t360 () (=> @t3 @t359)) % 1.02/1.25 (define @t361 () (forall @t12 @t360)) % 1.02/1.25 (define @t362 () (= tptp.in__Cong @t361)) % 1.02/1.25 (define @t363 () (=> @t148 @t344)) % 1.02/1.25 (define @t364 () (forall @t150 @t363)) % 1.02/1.25 (define @t365 () (= tptp.exuE3u @t364)) % 1.02/1.25 (define @t366 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.02/1.25 (define @t367 () (_ @t366 @t4)) % 1.02/1.25 (define @t368 () (lambda @t9 @t367)) % 1.02/1.25 (define @t369 () (_ tptp.exu @t368)) % 1.02/1.25 (define @t370 () (= @t148 @t369)) % 1.02/1.25 (define @t371 () (_ @t366 @t19)) % 1.02/1.25 (define @t372 () (= @t144 @t371)) % 1.02/1.25 (define @t373 () (=> @t129 @t372)) % 1.02/1.25 (define @t374 () (forall @t135 @t373)) % 1.02/1.25 (define @t375 () (=> @t374 @t370)) % 1.02/1.25 (define @t376 () (@list @t143 @t366)) % 1.02/1.25 (define @t377 () (forall @t376 @t375)) % 1.02/1.25 (define @t378 () (= tptp.exu__Cong @t377)) % 1.02/1.25 (define @t379 () (= tptp.emptyset tptp.emptyset)) % 1.02/1.25 (define @t380 () (= tptp.emptyset__Cong @t379)) % 1.02/1.25 (define @t381 () (@var "Xu" $$unsorted)) % 1.02/1.25 (define @t382 () (_ @t274 @t381)) % 1.02/1.25 (define @t383 () (_ @t24 @t289)) % 1.02/1.25 (define @t384 () (= @t383 @t382)) % 1.02/1.25 (define @t385 () (= @t289 @t381)) % 1.02/1.25 (define @t386 () (@list @t289 @t381)) % 1.02/1.25 (define @t387 () (forall @t386 (=> @t385 @t384))) % 1.02/1.25 (define @t388 () (=> @t129 @t387)) % 1.02/1.25 (define @t389 () (forall @t135 @t388)) % 1.02/1.25 (define @t390 () (= tptp.setadjoin__Cong @t389)) % 1.02/1.25 (define @t391 () (_ tptp.powerset @t1)) % 1.02/1.25 (define @t392 () (= @t33 @t391)) % 1.02/1.25 (define @t393 () (forall @t12 (=> @t3 @t392))) % 1.02/1.25 (define @t394 () (= tptp.powerset__Cong @t393)) % 1.02/1.25 (define @t395 () (_ tptp.setunion @t1)) % 1.02/1.25 (define @t396 () (= @t43 @t395)) % 1.02/1.25 (define @t397 () (forall @t12 (=> @t3 @t396))) % 1.02/1.25 (define @t398 () (= tptp.setunion__Cong @t397)) % 1.02/1.25 (define @t399 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.02/1.25 (define @t400 () (= tptp.exuEu @t364)) % 1.02/1.25 (define @t401 () (_ tptp.descr @t368)) % 1.02/1.25 (define @t402 () (= @t146 @t401)) % 1.02/1.25 (define @t403 () (=> @t369 @t402)) % 1.02/1.25 (define @t404 () (=> @t148 @t403)) % 1.02/1.25 (define @t405 () (=> @t374 @t404)) % 1.02/1.25 (define @t406 () (forall @t376 @t405)) % 1.02/1.25 (define @t407 () (= tptp.descr__Cong @t406)) % 1.02/1.25 (define @t408 () (_ tptp.dsetconstr @t1)) % 1.02/1.25 (define @t409 () (_ @t408 @t368)) % 1.02/1.25 (define @t410 () (= @t304 @t409)) % 1.02/1.25 (define @t411 () (forall @t70 (=> @t352 @t373))) % 1.02/1.25 (define @t412 () (=> @t7 @t411)) % 1.02/1.25 (define @t413 () (forall @t9 @t412)) % 1.02/1.25 (define @t414 () (=> @t413 @t410)) % 1.02/1.25 (define @t415 () (forall @t376 @t414)) % 1.02/1.25 (define @t416 () (=> @t3 @t415)) % 1.02/1.25 (define @t417 () (forall @t12 @t416)) % 1.02/1.25 (define @t418 () (= tptp.dsetconstr__Cong @t417)) % 1.02/1.25 (define @t419 () (_ tptp.subset @t2)) % 1.02/1.25 (define @t420 () (_ @t419 @t1)) % 1.02/1.25 (define @t421 () (=> @t192 @t420)) % 1.02/1.25 (define @t422 () (forall @t12 @t421)) % 1.02/1.25 (define @t423 () (= tptp.subsetI1 @t422)) % 1.02/1.25 (define @t424 () (_ tptp.subset @t1)) % 1.02/1.25 (define @t425 () (_ @t424 @t2)) % 1.02/1.25 (define @t426 () (forall @t12 (=> @t3 @t425))) % 1.02/1.25 (define @t427 () (= tptp.eqimpsubset2 @t426)) % 1.02/1.25 (define @t428 () (forall @t12 (=> @t3 @t420))) % 1.02/1.25 (define @t429 () (= tptp.eqimpsubset1 @t428)) % 1.02/1.25 (define @t430 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.02/1.25 (define @t431 () (forall @t64 @t430)) % 1.02/1.25 (define @t432 () (= tptp.emptysetsubset @t431)) % 1.02/1.25 (define @t433 () (forall @t245 (=> @t420 @t191))) % 1.02/1.25 (define @t434 () (= tptp.subsetE @t433)) % 1.02/1.25 (define @t435 () (not @t6)) % 1.02/1.25 (define @t436 () (=> @t435 @t197)) % 1.02/1.25 (define @t437 () (forall @t245 (=> @t420 @t436))) % 1.02/1.25 (define @t438 () (= tptp.subsetE2 @t437)) % 1.02/1.25 (define @t439 () (not @t420)) % 1.02/1.25 (define @t440 () (=> @t435 @t439)) % 1.02/1.25 (define @t441 () (forall @t245 (=> @t7 @t440))) % 1.02/1.25 (define @t442 () (= tptp.notsubsetI @t441)) % 1.02/1.25 (define @t443 () (not @t3)) % 1.02/1.25 (define @t444 () (forall @t12 (=> @t439 @t443))) % 1.02/1.25 (define @t445 () (= tptp.notequalI1 @t444)) % 1.02/1.25 (define @t446 () (=> @t435 @t443)) % 1.02/1.25 (define @t447 () (forall @t245 (=> @t7 @t446))) % 1.02/1.25 (define @t448 () (= tptp.notequalI2 @t447)) % 1.02/1.25 (define @t449 () (_ @t419 @t2)) % 1.02/1.25 (define @t450 () (forall @t64 @t449)) % 1.02/1.25 (define @t451 () (= tptp.subsetRefl @t450)) % 1.02/1.25 (define @t452 () (_ @t419 @t104)) % 1.02/1.25 (define @t453 () (_ @t424 @t104)) % 1.02/1.25 (define @t454 () (=> @t453 @t452)) % 1.02/1.25 (define @t455 () (@list @t2 @t1 @t104)) % 1.02/1.25 (define @t456 () (forall @t455 (=> @t420 @t454))) % 1.02/1.25 (define @t457 () (= tptp.subsetTrans @t456)) % 1.02/1.25 (define @t458 () (_ @t419 @t25)) % 1.02/1.25 (define @t459 () (@list @t4 @t2)) % 1.02/1.25 (define @t460 () (forall @t459 @t458)) % 1.02/1.25 (define @t461 () (= tptp.setadjoinSub @t460)) % 1.02/1.25 (define @t462 () (_ @t24 @t1)) % 1.02/1.25 (define @t463 () (_ @t419 @t462)) % 1.02/1.25 (define @t464 () (forall @t249 (=> @t420 @t463))) % 1.02/1.25 (define @t465 () (= tptp.setadjoinSub2 @t464)) % 1.02/1.25 (define @t466 () (_ tptp.in @t2)) % 1.02/1.25 (define @t467 () (_ @t466 @t391)) % 1.02/1.25 (define @t468 () (forall @t12 (=> @t420 @t467))) % 1.02/1.25 (define @t469 () (= tptp.subset2powerset @t468)) % 1.02/1.25 (define @t470 () (=> @t425 @t3)) % 1.02/1.25 (define @t471 () (forall @t12 (=> @t420 @t470))) % 1.02/1.25 (define @t472 () (= tptp.setextsub @t471)) % 1.02/1.25 (define @t473 () (_ @t419 tptp.emptyset)) % 1.02/1.25 (define @t474 () (forall @t64 (=> @t473 @t196))) % 1.02/1.25 (define @t475 () (= tptp.subsetemptysetimpeq @t474)) % 1.02/1.25 (define @t476 () (forall @t12 (=> @t425 @t35))) % 1.02/1.25 (define @t477 () (= tptp.powersetI1 @t476)) % 1.02/1.25 (define @t478 () (forall @t12 (=> @t35 @t425))) % 1.02/1.25 (define @t479 () (= tptp.powersetE1 @t478)) % 1.02/1.25 (define @t480 () (_ @t466 @t33)) % 1.02/1.25 (define @t481 () (forall @t64 @t480)) % 1.02/1.25 (define @t482 () (= tptp.inPowerset @t481)) % 1.02/1.25 (define @t483 () (_ (_ tptp.subset @t33) @t391)) % 1.02/1.25 (define @t484 () (forall @t12 (=> @t420 @t483))) % 1.02/1.25 (define @t485 () (= tptp.powersetsubset @t484)) % 1.02/1.25 (define @t486 () (_ (_ tptp.in @t304) @t33)) % 1.02/1.25 (define @t487 () (forall @t309 @t486)) % 1.02/1.25 (define @t488 () (= tptp.sepInPowerset @t487)) % 1.02/1.25 (define @t489 () (_ (_ tptp.subset @t304) @t2)) % 1.02/1.25 (define @t490 () (forall @t309 @t489)) % 1.02/1.25 (define @t491 () (= tptp.sepSubset @t490)) % 1.02/1.25 (define @t492 () (_ (_ tptp.binunion @t2) @t1)) % 1.02/1.25 (define @t493 () (_ @t5 @t492)) % 1.02/1.25 (define @t494 () (forall @t245 (=> @t7 @t493))) % 1.02/1.25 (define @t495 () (= tptp.binunionIL @t494)) % 1.02/1.25 (define @t496 () (forall @t245 (=> @t6 @t493))) % 1.02/1.25 (define @t497 () (= tptp.binunionIR @t496)) % 1.02/1.25 (define @t498 () (=> @t6 @t173)) % 1.02/1.25 (define @t499 () (=> @t498 @t173)) % 1.02/1.25 (define @t500 () (=> @t7 @t173)) % 1.02/1.25 (define @t501 () (=> @t500 @t499)) % 1.02/1.25 (define @t502 () (@list @t2 @t1 @t4 @t173)) % 1.02/1.25 (define @t503 () (forall @t502 (=> @t493 @t501))) % 1.02/1.25 (define @t504 () (= tptp.binunionEcases @t503)) % 1.02/1.25 (define @t505 () (or @t7 @t6)) % 1.02/1.25 (define @t506 () (forall @t245 (=> @t493 @t505))) % 1.02/1.25 (define @t507 () (= tptp.binunionE @t506)) % 1.02/1.25 (define @t508 () (_ @t419 @t492)) % 1.02/1.25 (define @t509 () (forall @t12 @t508)) % 1.02/1.25 (define @t510 () (= tptp.binunionLsub @t509)) % 1.02/1.25 (define @t511 () (_ @t424 @t492)) % 1.02/1.25 (define @t512 () (forall @t12 @t511)) % 1.02/1.25 (define @t513 () (= tptp.binunionRsub @t512)) % 1.02/1.25 (define @t514 () (_ tptp.binintersect @t2)) % 1.02/1.25 (define @t515 () (_ @t514 @t1)) % 1.02/1.25 (define @t516 () (_ @t5 @t515)) % 1.02/1.25 (define @t517 () (=> @t6 @t516)) % 1.02/1.25 (define @t518 () (forall @t245 (=> @t7 @t517))) % 1.02/1.25 (define @t519 () (= tptp.binintersectI @t518)) % 1.02/1.25 (define @t520 () (_ tptp.subset @t104)) % 1.02/1.25 (define @t521 () (_ @t520 @t515)) % 1.02/1.25 (define @t522 () (_ @t520 @t1)) % 1.02/1.25 (define @t523 () (=> @t522 @t521)) % 1.02/1.25 (define @t524 () (_ @t520 @t2)) % 1.02/1.25 (define @t525 () (forall @t455 (=> @t524 @t523))) % 1.02/1.25 (define @t526 () (= tptp.binintersectSubset5 @t525)) % 1.02/1.25 (define @t527 () (forall @t245 (=> @t516 @t7))) % 1.02/1.25 (define @t528 () (= tptp.binintersectEL @t527)) % 1.02/1.25 (define @t529 () (_ tptp.subset @t515)) % 1.02/1.25 (define @t530 () (_ @t529 @t2)) % 1.02/1.25 (define @t531 () (forall @t12 @t530)) % 1.02/1.25 (define @t532 () (= tptp.binintersectLsub @t531)) % 1.02/1.25 (define @t533 () (= @t515 @t2)) % 1.02/1.25 (define @t534 () (=> @t420 @t533)) % 1.02/1.25 (define @t535 () (forall @t12 @t534)) % 1.02/1.25 (define @t536 () (= tptp.binintersectSubset2 @t535)) % 1.02/1.25 (define @t537 () (= @t515 @t1)) % 1.02/1.25 (define @t538 () (=> @t537 @t425)) % 1.02/1.25 (define @t539 () (forall @t12 @t538)) % 1.02/1.25 (define @t540 () (= tptp.binintersectSubset3 @t539)) % 1.02/1.25 (define @t541 () (forall @t245 (=> @t516 @t6))) % 1.02/1.25 (define @t542 () (= tptp.binintersectER @t541)) % 1.02/1.25 (define @t543 () (and @t7 @t6)) % 1.02/1.25 (define @t544 () (exists @t9 @t543)) % 1.02/1.25 (define @t545 () (not @t544)) % 1.02/1.25 (define @t546 () (=> @t545 (= @t515 tptp.emptyset))) % 1.02/1.25 (define @t547 () (forall @t12 @t546)) % 1.02/1.25 (define @t548 () (= tptp.disjointsetsI1 @t547)) % 1.02/1.25 (define @t549 () (_ @t529 @t1)) % 1.02/1.25 (define @t550 () (forall @t12 @t549)) % 1.02/1.25 (define @t551 () (= tptp.binintersectRsub @t550)) % 1.02/1.25 (define @t552 () (=> @t425 @t537)) % 1.02/1.25 (define @t553 () (forall @t12 @t552)) % 1.02/1.25 (define @t554 () (= tptp.binintersectSubset4 @t553)) % 1.02/1.25 (define @t555 () (=> @t533 @t420)) % 1.02/1.25 (define @t556 () (forall @t12 @t555)) % 1.02/1.25 (define @t557 () (= tptp.binintersectSubset1 @t556)) % 1.02/1.25 (define @t558 () (_ @t514 @t104)) % 1.02/1.25 (define @t559 () (_ (_ tptp.binunion @t515) @t558)) % 1.02/1.25 (define @t560 () (_ (_ tptp.binunion @t1) @t104)) % 1.02/1.25 (define @t561 () (_ @t514 @t560)) % 1.02/1.25 (define @t562 () (= @t561 @t559)) % 1.02/1.25 (define @t563 () (forall @t455 @t562)) % 1.02/1.25 (define @t564 () (= tptp.bs114d @t563)) % 1.02/1.25 (define @t565 () (_ (_ tptp.setminus @t2) @t1)) % 1.02/1.25 (define @t566 () (_ @t5 @t565)) % 1.02/1.25 (define @t567 () (=> @t435 @t566)) % 1.02/1.25 (define @t568 () (forall @t245 (=> @t7 @t567))) % 1.02/1.25 (define @t569 () (= tptp.setminusI @t568)) % 1.02/1.25 (define @t570 () (forall @t245 (=> @t566 @t7))) % 1.02/1.25 (define @t571 () (= tptp.setminusEL @t570)) % 1.02/1.25 (define @t572 () (forall @t245 (=> @t566 @t435))) % 1.02/1.25 (define @t573 () (= tptp.setminusER @t572)) % 1.02/1.25 (define @t574 () (= @t565 tptp.emptyset)) % 1.02/1.25 (define @t575 () (=> @t420 @t574)) % 1.02/1.25 (define @t576 () (forall @t12 @t575)) % 1.02/1.25 (define @t577 () (= tptp.setminusSubset2 @t576)) % 1.02/1.25 (define @t578 () (not @t566)) % 1.02/1.25 (define @t579 () (forall @t245 (=> @t578 @t191))) % 1.02/1.25 (define @t580 () (= tptp.setminusERneg @t579)) % 1.02/1.25 (define @t581 () (forall @t245 (=> @t578 @t436))) % 1.02/1.25 (define @t582 () (= tptp.setminusELneg @t581)) % 1.02/1.25 (define @t583 () (forall @t245 (=> @t197 @t578))) % 1.02/1.25 (define @t584 () (= tptp.setminusILneg @t583)) % 1.02/1.25 (define @t585 () (forall @t245 (=> @t6 @t578))) % 1.02/1.25 (define @t586 () (= tptp.setminusIRneg @t585)) % 1.02/1.25 (define @t587 () (_ (_ tptp.subset @t565) @t2)) % 1.02/1.25 (define @t588 () (forall @t12 @t587)) % 1.02/1.25 (define @t589 () (= tptp.setminusLsub @t588)) % 1.02/1.25 (define @t590 () (=> @t574 @t420)) % 1.02/1.25 (define @t591 () (forall @t12 @t590)) % 1.02/1.25 (define @t592 () (= tptp.setminusSubset1 @t591)) % 1.02/1.25 (define @t593 () (=> @t197 @t498)) % 1.02/1.25 (define @t594 () (=> @t593 @t173)) % 1.02/1.25 (define @t595 () (=> @t435 @t173)) % 1.02/1.25 (define @t596 () (=> @t7 @t595)) % 1.02/1.25 (define @t597 () (forall @t179 (=> @t596 @t594))) % 1.02/1.25 (define @t598 () (_ (_ tptp.symdiff @t2) @t1)) % 1.02/1.25 (define @t599 () (_ @t5 @t598)) % 1.02/1.25 (define @t600 () (=> @t599 @t597)) % 1.02/1.25 (define @t601 () (forall @t245 @t600)) % 1.02/1.25 (define @t602 () (= tptp.symdiffE @t601)) % 1.02/1.25 (define @t603 () (=> @t435 @t599)) % 1.02/1.25 (define @t604 () (forall @t245 (=> @t7 @t603))) % 1.02/1.25 (define @t605 () (= tptp.symdiffI1 @t604)) % 1.02/1.25 (define @t606 () (=> @t6 @t599)) % 1.02/1.25 (define @t607 () (forall @t245 (=> @t197 @t606))) % 1.02/1.25 (define @t608 () (= tptp.symdiffI2 @t607)) % 1.02/1.25 (define @t609 () (not @t599)) % 1.02/1.25 (define @t610 () (=> @t6 @t609)) % 1.02/1.25 (define @t611 () (forall @t245 (=> @t7 @t610))) % 1.02/1.25 (define @t612 () (= tptp.symdiffIneg1 @t611)) % 1.02/1.25 (define @t613 () (=> @t435 @t609)) % 1.02/1.25 (define @t614 () (forall @t245 (=> @t197 @t613))) % 1.02/1.25 (define @t615 () (= tptp.symdiffIneg2 @t614)) % 1.02/1.25 (define @t616 () (_ (_ tptp.setadjoin @t291) tptp.emptyset)) % 1.02/1.25 (define @t617 () (_ tptp.setadjoin @t279)) % 1.02/1.25 (define @t618 () (_ @t617 @t616)) % 1.02/1.25 (define @t619 () (_ tptp.setunion @t618)) % 1.02/1.25 (define @t620 () (_ @t5 @t619)) % 1.02/1.25 (define @t621 () (forall @t135 @t620)) % 1.02/1.25 (define @t622 () (= tptp.setukpairIL @t621)) % 1.02/1.25 (define @t623 () (_ @t20 @t619)) % 1.02/1.25 (define @t624 () (forall @t135 @t623)) % 1.02/1.25 (define @t625 () (= tptp.setukpairIR @t624)) % 1.02/1.25 (define @t626 () (_ tptp.iskpair @t618)) % 1.02/1.25 (define @t627 () (forall @t135 @t626)) % 1.02/1.25 (define @t628 () (= tptp.kpairiskpair @t627)) % 1.02/1.25 (define @t629 () (_ tptp.kpair @t4)) % 1.02/1.25 (define @t630 () (_ @t629 @t19)) % 1.02/1.25 (define @t631 () (_ tptp.iskpair @t630)) % 1.02/1.25 (define @t632 () (forall @t135 @t631)) % 1.02/1.25 (define @t633 () (= tptp.kpairp @t632)) % 1.02/1.25 (define @t634 () (_ (_ tptp.subset @t279) @t2)) % 1.02/1.25 (define @t635 () (forall @t46 (=> @t7 @t634))) % 1.02/1.25 (define @t636 () (= tptp.singletonsubset @t635)) % 1.02/1.25 (define @t637 () (_ tptp.in @t279)) % 1.02/1.25 (define @t638 () (_ @t637 @t33)) % 1.02/1.25 (define @t639 () (forall @t46 (=> @t7 @t638))) % 1.02/1.25 (define @t640 () (= tptp.singletoninpowerset @t639)) % 1.02/1.25 (define @t641 () (_ tptp.powerset @t492)) % 1.02/1.25 (define @t642 () (_ @t637 @t641)) % 1.02/1.25 (define @t643 () (forall @t245 (=> @t7 @t642))) % 1.02/1.25 (define @t644 () (= tptp.singletoninpowunion @t643)) % 1.02/1.25 (define @t645 () (_ (_ tptp.subset @t291) @t492)) % 1.02/1.25 (define @t646 () (forall @t70 (=> @t352 @t645))) % 1.02/1.25 (define @t647 () (=> @t7 @t646)) % 1.02/1.25 (define @t648 () (forall @t245 @t647)) % 1.02/1.25 (define @t649 () (= tptp.upairsubunion @t648)) % 1.02/1.25 (define @t650 () (_ (_ tptp.in @t291) @t641)) % 1.02/1.25 (define @t651 () (forall @t70 (=> @t352 @t650))) % 1.02/1.25 (define @t652 () (=> @t7 @t651)) % 1.02/1.25 (define @t653 () (forall @t245 @t652)) % 1.02/1.25 (define @t654 () (= tptp.upairinpowunion @t653)) % 1.02/1.25 (define @t655 () (_ (_ tptp.subset @t618) @t641)) % 1.02/1.25 (define @t656 () (forall @t70 (=> @t352 @t655))) % 1.02/1.25 (define @t657 () (=> @t7 @t656)) % 1.02/1.25 (define @t658 () (forall @t245 @t657)) % 1.02/1.25 (define @t659 () (= tptp.ubforcartprodlem1 @t658)) % 1.02/1.25 (define @t660 () (_ tptp.powerset @t641)) % 1.02/1.25 (define @t661 () (_ (_ tptp.in @t618) @t660)) % 1.02/1.25 (define @t662 () (forall @t70 (=> @t352 @t661))) % 1.02/1.25 (define @t663 () (=> @t7 @t662)) % 1.02/1.25 (define @t664 () (forall @t245 @t663)) % 1.02/1.25 (define @t665 () (= tptp.ubforcartprodlem2 @t664)) % 1.02/1.25 (define @t666 () (_ tptp.in @t630)) % 1.02/1.25 (define @t667 () (_ @t666 @t660)) % 1.02/1.25 (define @t668 () (forall @t70 (=> @t352 @t667))) % 1.02/1.25 (define @t669 () (=> @t7 @t668)) % 1.02/1.25 (define @t670 () (forall @t245 @t669)) % 1.02/1.25 (define @t671 () (= tptp.ubforcartprodlem3 @t670)) % 1.02/1.25 (define @t672 () (_ (_ tptp.cartprod @t2) @t1)) % 1.02/1.25 (define @t673 () (_ @t666 @t672)) % 1.02/1.25 (define @t674 () (forall @t70 (=> @t352 @t673))) % 1.02/1.25 (define @t675 () (=> @t7 @t674)) % 1.02/1.25 (define @t676 () (forall @t245 @t675)) % 1.02/1.25 (define @t677 () (= tptp.cartprodpairin @t676)) % 1.02/1.25 (define @t678 () (= @t381 @t630)) % 1.02/1.25 (define @t679 () (and @t352 @t678)) % 1.02/1.25 (define @t680 () (exists @t70 @t679)) % 1.02/1.25 (define @t681 () (and @t7 @t680)) % 1.02/1.25 (define @t682 () (exists @t9 @t681)) % 1.02/1.25 (define @t683 () (_ tptp.in @t381)) % 1.02/1.25 (define @t684 () (_ @t683 @t672)) % 1.02/1.25 (define @t685 () (=> @t684 @t682)) % 1.02/1.25 (define @t686 () (@list @t2 @t1 @t381)) % 1.02/1.25 (define @t687 () (forall @t686 @t685)) % 1.02/1.25 (define @t688 () (= tptp.cartprodmempair1 @t687)) % 1.02/1.25 (define @t689 () (_ tptp.iskpair @t381)) % 1.02/1.25 (define @t690 () (forall @t686 (=> @t684 @t689))) % 1.02/1.25 (define @t691 () (= tptp.cartprodmempair @t690)) % 1.02/1.25 (define @t692 () (@var "X" $$unsorted)) % 1.02/1.25 (define @t693 () (_ @t5 @t692)) % 1.02/1.25 (define @t694 () (_ (_ tptp.in @t692) @t2)) % 1.02/1.25 (define @t695 () (and @t694 @t693)) % 1.02/1.25 (define @t696 () (@list @t692)) % 1.02/1.25 (define @t697 () (exists @t696 @t695)) % 1.02/1.25 (define @t698 () (=> @t44 @t697)) % 1.02/1.25 (define @t699 () (forall @t46 @t698)) % 1.02/1.25 (define @t700 () (= tptp.setunionE2 @t699)) % 1.02/1.25 (define @t701 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 1.02/1.25 (define @t702 () (_ tptp.setunion @t701)) % 1.02/1.25 (define @t703 () (_ (_ tptp.subset @t702) @t2)) % 1.02/1.25 (define @t704 () (forall @t64 @t703)) % 1.02/1.25 (define @t705 () (= tptp.setunionsingleton1 @t704)) % 1.02/1.25 (define @t706 () (_ @t419 @t702)) % 1.02/1.25 (define @t707 () (forall @t64 @t706)) % 1.02/1.25 (define @t708 () (= tptp.setunionsingleton2 @t707)) % 1.02/1.25 (define @t709 () (_ tptp.setunion @t279)) % 1.02/1.25 (define @t710 () (forall @t9 (= @t709 @t4))) % 1.02/1.25 (define @t711 () (= tptp.setunionsingleton @t710)) % 1.02/1.25 (define @t712 () (_ tptp.singleton @t304)) % 1.02/1.25 (define @t713 () (=> @t307 @t712)) % 1.02/1.25 (define @t714 () (forall @t70 (=> @t21 @t343))) % 1.02/1.25 (define @t715 () (=> @t7 @t714)) % 1.02/1.25 (define @t716 () (forall @t9 @t715)) % 1.02/1.25 (define @t717 () (=> @t716 @t713)) % 1.02/1.25 (define @t718 () (forall @t309 @t717)) % 1.02/1.25 (define @t719 () (= tptp.singletonprop @t718)) % 1.02/1.25 (define @t720 () (_ tptp.ex1 @t2)) % 1.02/1.25 (define @t721 () (_ @t720 @t145)) % 1.02/1.25 (define @t722 () (=> @t721 @t307)) % 1.02/1.25 (define @t723 () (forall @t309 @t722)) % 1.02/1.25 (define @t724 () (= tptp.ex1E1 @t723)) % 1.02/1.25 (define @t725 () (=> @t153 @t22)) % 1.02/1.25 (define @t726 () (=> @t21 @t725)) % 1.02/1.25 (define @t727 () (forall @t70 @t726)) % 1.02/1.25 (define @t728 () (=> @t727 (_ @t720 @t154))) % 1.02/1.25 (define @t729 () (=> @t144 @t728)) % 1.02/1.25 (define @t730 () (=> @t7 @t729)) % 1.02/1.25 (define @t731 () (forall @t159 @t730)) % 1.02/1.25 (define @t732 () (= tptp.ex1I @t731)) % 1.02/1.25 (define @t733 () (=> @t307 @t721)) % 1.02/1.25 (define @t734 () (=> @t716 @t733)) % 1.02/1.25 (define @t735 () (forall @t309 @t734)) % 1.02/1.25 (define @t736 () (= tptp.ex1I2 @t735)) % 1.02/1.25 (define @t737 () (=> (= @t279 @t275) @t129)) % 1.02/1.25 (define @t738 () (forall @t135 @t737)) % 1.02/1.25 (define @t739 () (= tptp.singletonsuniq @t738)) % 1.02/1.25 (define @t740 () (= @t4 @t289)) % 1.02/1.25 (define @t741 () (_ tptp.setadjoin @t289)) % 1.02/1.25 (define @t742 () (_ @t741 tptp.emptyset)) % 1.02/1.25 (define @t743 () (_ (_ tptp.in @t742) @t618)) % 1.02/1.25 (define @t744 () (forall @t295 (=> @t743 @t740))) % 1.02/1.25 (define @t745 () (= tptp.setukpairinjL1 @t744)) % 1.02/1.25 (define @t746 () (lambda @t9 (_ @t637 @t381))) % 1.02/1.25 (define @t747 () (_ tptp.setunion @t381)) % 1.02/1.25 (define @t748 () (_ tptp.dsetconstr @t747)) % 1.02/1.25 (define @t749 () (_ @t748 @t746)) % 1.02/1.25 (define @t750 () (=> @t689 (_ tptp.singleton @t749))) % 1.02/1.25 (define @t751 () (@list @t381)) % 1.02/1.25 (define @t752 () (forall @t751 @t750)) % 1.02/1.25 (define @t753 () (= tptp.kfstsingleton @t752)) % 1.02/1.25 (define @t754 () (_ tptp.setunion @t692)) % 1.02/1.25 (define @t755 () (_ (_ tptp.in @t754) @t692)) % 1.02/1.25 (define @t756 () (=> (_ tptp.singleton @t692) @t755)) % 1.02/1.25 (define @t757 () (forall @t696 @t756)) % 1.02/1.25 (define @t758 () (= tptp.theprop @t757)) % 1.02/1.25 (define @t759 () (_ tptp.kfst @t630)) % 1.02/1.25 (define @t760 () (= @t759 @t4)) % 1.02/1.25 (define @t761 () (forall @t135 @t760)) % 1.02/1.25 (define @t762 () (= tptp.kfstpairEq @t761)) % 1.02/1.25 (define @t763 () (_ tptp.kfst @t381)) % 1.02/1.25 (define @t764 () (_ (_ tptp.in @t763) @t2)) % 1.02/1.25 (define @t765 () (forall @t686 (=> @t684 @t764))) % 1.02/1.25 (define @t766 () (= tptp.cartprodfstin @t765)) % 1.02/1.25 (define @t767 () (_ (_ tptp.setadjoin @t381) tptp.emptyset)) % 1.02/1.25 (define @t768 () (_ @t741 @t767)) % 1.02/1.25 (define @t769 () (_ (_ tptp.setadjoin @t768) tptp.emptyset)) % 1.02/1.25 (define @t770 () (_ (_ tptp.setadjoin @t742) @t769)) % 1.02/1.25 (define @t771 () (= @t618 @t770)) % 1.02/1.25 (define @t772 () (@list @t4 @t19 @t289 @t381)) % 1.02/1.25 (define @t773 () (forall @t772 (=> @t771 @t740))) % 1.02/1.25 (define @t774 () (= tptp.setukpairinjL2 @t773)) % 1.02/1.25 (define @t775 () (_ (_ tptp.kpair @t289) @t381)) % 1.02/1.25 (define @t776 () (= @t630 @t775)) % 1.02/1.25 (define @t777 () (forall @t772 (=> @t776 @t740))) % 1.02/1.25 (define @t778 () (= tptp.setukpairinjL @t777)) % 1.02/1.25 (define @t779 () (=> @t129 (= @t291 @t279))) % 1.02/1.25 (define @t780 () (forall @t135 @t779)) % 1.02/1.25 (define @t781 () (= tptp.setukpairinjR11 @t780)) % 1.02/1.25 (define @t782 () (_ @t617 tptp.emptyset)) % 1.02/1.25 (define @t783 () (= @t618 @t782)) % 1.02/1.25 (define @t784 () (forall @t135 (=> @t129 @t783))) % 1.02/1.25 (define @t785 () (= tptp.setukpairinjR12 @t784)) % 1.02/1.25 (define @t786 () (= @t19 @t381)) % 1.02/1.25 (define @t787 () (=> @t385 @t786)) % 1.02/1.25 (define @t788 () (forall @t772 (=> @t771 @t787))) % 1.02/1.25 (define @t789 () (= tptp.setukpairinjR1 @t788)) % 1.02/1.25 (define @t790 () (= @t291 @t742)) % 1.02/1.25 (define @t791 () (forall @t295 (=> @t790 @t129))) % 1.02/1.25 (define @t792 () (= tptp.upairequniteq @t791)) % 1.02/1.25 (define @t793 () (forall @t772 (=> @t771 @t786))) % 1.02/1.25 (define @t794 () (= tptp.setukpairinjR2 @t793)) % 1.02/1.25 (define @t795 () (forall @t772 (=> @t776 @t786))) % 1.02/1.25 (define @t796 () (= tptp.setukpairinjR @t795)) % 1.02/1.25 (define @t797 () (_ tptp.kpair @t763)) % 1.02/1.25 (define @t798 () (lambda @t9 (= @t381 (_ @t797 @t4)))) % 1.02/1.25 (define @t799 () (_ @t748 @t798)) % 1.02/1.25 (define @t800 () (=> @t689 (_ tptp.singleton @t799))) % 1.02/1.25 (define @t801 () (forall @t751 @t800)) % 1.02/1.25 (define @t802 () (= tptp.ksndsingleton @t801)) % 1.02/1.25 (define @t803 () (_ tptp.ksnd @t630)) % 1.02/1.25 (define @t804 () (= @t803 @t19)) % 1.02/1.25 (define @t805 () (forall @t135 @t804)) % 1.02/1.25 (define @t806 () (= tptp.ksndpairEq @t805)) % 1.02/1.25 (define @t807 () (_ tptp.ksnd @t381)) % 1.02/1.25 (define @t808 () (_ @t797 @t807)) % 1.02/1.25 (define @t809 () (= @t808 @t381)) % 1.02/1.25 (define @t810 () (=> @t689 @t809)) % 1.02/1.25 (define @t811 () (forall @t751 @t810)) % 1.02/1.25 (define @t812 () (= tptp.kpairsurjEq @t811)) % 1.02/1.25 (define @t813 () (_ (_ tptp.in @t807) @t1)) % 1.02/1.25 (define @t814 () (forall @t686 (=> @t684 @t813))) % 1.02/1.25 (define @t815 () (= tptp.cartprodsndin @t814)) % 1.02/1.25 (define @t816 () (@list @t2 @t1 @t4 @t19)) % 1.02/1.25 (define @t817 () (forall @t816 (=> @t673 @t7))) % 1.02/1.25 (define @t818 () (= tptp.cartprodpairmemEL @t817)) % 1.02/1.25 (define @t819 () (forall @t816 (=> @t673 @t352))) % 1.02/1.25 (define @t820 () (= tptp.cartprodpairmemER @t819)) % 1.02/1.25 (define @t821 () (=> @t352 (= @t630 @t630))) % 1.02/1.25 (define @t822 () (forall @t70 @t821)) % 1.02/1.25 (define @t823 () (=> @t7 @t822)) % 1.02/1.25 (define @t824 () (forall @t245 @t823)) % 1.02/1.25 (define @t825 () (= tptp.cartprodmempaircEq @t824)) % 1.02/1.25 (define @t826 () (=> @t352 @t760)) % 1.02/1.25 (define @t827 () (forall @t70 @t826)) % 1.02/1.25 (define @t828 () (=> @t7 @t827)) % 1.02/1.25 (define @t829 () (forall @t245 @t828)) % 1.02/1.25 (define @t830 () (= tptp.cartprodfstpairEq @t829)) % 1.02/1.25 (define @t831 () (=> @t352 @t804)) % 1.02/1.25 (define @t832 () (forall @t70 @t831)) % 1.02/1.25 (define @t833 () (=> @t7 @t832)) % 1.02/1.25 (define @t834 () (forall @t245 @t833)) % 1.02/1.25 (define @t835 () (= tptp.cartprodsndpairEq @t834)) % 1.02/1.25 (define @t836 () (=> @t684 @t809)) % 1.02/1.25 (define @t837 () (forall @t686 @t836)) % 1.02/1.25 (define @t838 () (= tptp.cartprodpairsurjEq @t837)) % 1.02/1.25 (define @t839 () (lambda @t386 (_ (_ @t67 @t289) @t381))) % 1.02/1.25 (define @t840 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 1.02/1.25 (define @t841 () (_ @t666 (_ @t840 @t839))) % 1.02/1.25 (define @t842 () (=> @t76 @t841)) % 1.02/1.25 (define @t843 () (=> @t352 @t842)) % 1.02/1.25 (define @t844 () (forall @t70 @t843)) % 1.02/1.25 (define @t845 () (=> @t7 @t844)) % 1.02/1.25 (define @t846 () (@list @t2 @t1 @t67 @t4)) % 1.02/1.25 (define @t847 () (forall @t846 @t845)) % 1.02/1.25 (define @t848 () (= tptp.dpsetconstrI @t847)) % 1.02/1.25 (define @t849 () (lambda @t135 @t76)) % 1.02/1.25 (define @t850 () (_ @t840 @t849)) % 1.02/1.25 (define @t851 () (@list @t2 @t1 @t67)) % 1.02/1.25 (define @t852 () (forall @t851 (_ (_ tptp.subset @t850) @t672))) % 1.02/1.25 (define @t853 () (= tptp.dpsetconstrSub @t852)) % 1.02/1.25 (define @t854 () (forall @t851 (_ (_ (_ tptp.breln @t2) @t1) @t850))) % 1.02/1.25 (define @t855 () (= tptp.setOfPairsIsBReln @t854)) % 1.02/1.25 (define @t856 () (=> @t841 @t76)) % 1.02/1.25 (define @t857 () (=> @t352 @t856)) % 1.02/1.25 (define @t858 () (forall @t70 @t857)) % 1.02/1.25 (define @t859 () (=> @t7 @t858)) % 1.02/1.25 (define @t860 () (forall @t846 @t859)) % 1.02/1.25 (define @t861 () (= tptp.dpsetconstrERa @t860)) % 1.02/1.25 (define @t862 () (=> @t841 @t7)) % 1.02/1.25 (define @t863 () (@list @t2 @t1 @t67 @t4 @t19)) % 1.02/1.25 (define @t864 () (forall @t863 @t862)) % 1.02/1.25 (define @t865 () (=> tptp.dpsetconstrERa @t864)) % 1.02/1.25 (define @t866 () (=> tptp.setOfPairsIsBReln @t865)) % 1.02/1.25 (define @t867 () (=> tptp.dpsetconstrSub @t866)) % 1.02/1.25 (define @t868 () (=> tptp.dpsetconstrI @t867)) % 1.02/1.25 (define @t869 () (=> tptp.cartprodpairsurjEq @t868)) % 1.02/1.25 (define @t870 () (=> tptp.cartprodsndpairEq @t869)) % 1.02/1.25 (define @t871 () (=> tptp.cartprodfstpairEq @t870)) % 1.02/1.25 (define @t872 () (=> tptp.cartprodmempaircEq @t871)) % 1.02/1.25 (define @t873 () (=> tptp.cartprodpairmemER @t872)) % 1.02/1.25 (define @t874 () (=> tptp.cartprodpairmemEL @t873)) % 1.02/1.25 (define @t875 () (=> tptp.cartprodsndin @t874)) % 1.02/1.25 (define @t876 () (=> tptp.kpairsurjEq @t875)) % 1.02/1.25 (define @t877 () (=> tptp.ksndpairEq @t876)) % 1.02/1.25 (define @t878 () (=> tptp.ksndsingleton @t877)) % 1.02/1.25 (define @t879 () (=> tptp.setukpairinjR @t878)) % 1.02/1.25 (define @t880 () (=> tptp.setukpairinjR2 @t879)) % 1.02/1.25 (define @t881 () (=> tptp.upairequniteq @t880)) % 1.02/1.25 (define @t882 () (=> tptp.setukpairinjR1 @t881)) % 1.02/1.25 (define @t883 () (=> tptp.setukpairinjR12 @t882)) % 1.02/1.25 (define @t884 () (=> tptp.setukpairinjR11 @t883)) % 1.02/1.25 (define @t885 () (=> tptp.setukpairinjL @t884)) % 1.02/1.25 (define @t886 () (=> tptp.setukpairinjL2 @t885)) % 1.02/1.25 (define @t887 () (=> tptp.cartprodfstin @t886)) % 1.02/1.25 (define @t888 () (=> tptp.kfstpairEq @t887)) % 1.02/1.25 (define @t889 () (=> tptp.theprop @t888)) % 1.02/1.25 (define @t890 () (=> tptp.kfstsingleton @t889)) % 1.02/1.25 (define @t891 () (=> tptp.setukpairinjL1 @t890)) % 1.02/1.25 (define @t892 () (=> tptp.singletonsuniq @t891)) % 1.02/1.25 (define @t893 () (=> tptp.ex1I2 @t892)) % 1.02/1.25 (define @t894 () (=> tptp.ex1I @t893)) % 1.02/1.25 (define @t895 () (=> tptp.ex1E1 @t894)) % 1.02/1.25 (define @t896 () (=> tptp.singletonprop @t895)) % 1.02/1.25 (define @t897 () (=> tptp.setunionsingleton @t896)) % 1.02/1.25 (define @t898 () (=> tptp.setunionsingleton2 @t897)) % 1.02/1.25 (define @t899 () (=> tptp.setunionsingleton1 @t898)) % 1.02/1.25 (define @t900 () (=> tptp.setunionE2 @t899)) % 1.02/1.25 (define @t901 () (=> tptp.cartprodmempair @t900)) % 1.02/1.25 (define @t902 () (=> tptp.cartprodmempair1 @t901)) % 1.02/1.25 (define @t903 () (=> tptp.cartprodpairin @t902)) % 1.02/1.25 (define @t904 () (=> tptp.ubforcartprodlem3 @t903)) % 1.02/1.25 (define @t905 () (=> tptp.ubforcartprodlem2 @t904)) % 1.02/1.25 (define @t906 () (=> tptp.ubforcartprodlem1 @t905)) % 1.02/1.25 (define @t907 () (=> tptp.upairinpowunion @t906)) % 1.02/1.25 (define @t908 () (=> tptp.upairsubunion @t907)) % 1.02/1.25 (define @t909 () (=> tptp.upairset2E @t908)) % 1.02/1.25 (define @t910 () (=> tptp.singletoninpowunion @t909)) % 1.02/1.25 (define @t911 () (=> tptp.singletoninpowerset @t910)) % 1.02/1.25 (define @t912 () (=> tptp.singletonsubset @t911)) % 1.02/1.25 (define @t913 () (=> tptp.kpairp @t912)) % 1.02/1.25 (define @t914 () (=> tptp.kpairiskpair @t913)) % 1.02/1.25 (define @t915 () (=> tptp.setukpairIR @t914)) % 1.02/1.25 (define @t916 () (=> tptp.setukpairIL @t915)) % 1.02/1.25 (define @t917 () (=> tptp.secondinupair @t916)) % 1.02/1.25 (define @t918 () (=> tptp.symdiffIneg2 @t917)) % 1.02/1.25 (define @t919 () (=> tptp.symdiffIneg1 @t918)) % 1.02/1.25 (define @t920 () (=> tptp.symdiffI2 @t919)) % 1.02/1.25 (define @t921 () (=> tptp.symdiffI1 @t920)) % 1.02/1.25 (define @t922 () (=> tptp.symdiffE @t921)) % 1.02/1.25 (define @t923 () (=> tptp.setminusSubset1 @t922)) % 1.02/1.25 (define @t924 () (=> tptp.setminusLsub @t923)) % 1.02/1.25 (define @t925 () (=> tptp.setminusIRneg @t924)) % 1.02/1.25 (define @t926 () (=> tptp.setminusILneg @t925)) % 1.02/1.25 (define @t927 () (=> tptp.setminusELneg @t926)) % 1.02/1.25 (define @t928 () (=> tptp.setminusERneg @t927)) % 1.02/1.25 (define @t929 () (=> tptp.setminusSubset2 @t928)) % 1.02/1.25 (define @t930 () (=> tptp.setminusER @t929)) % 1.02/1.25 (define @t931 () (=> tptp.setminusEL @t930)) % 1.02/1.25 (define @t932 () (=> tptp.setminusI @t931)) % 1.02/1.25 (define @t933 () (=> tptp.bs114d @t932)) % 1.02/1.25 (define @t934 () (=> tptp.binintersectSubset1 @t933)) % 1.02/1.25 (define @t935 () (=> tptp.binintersectSubset4 @t934)) % 1.02/1.25 (define @t936 () (=> tptp.binintersectRsub @t935)) % 1.02/1.25 (define @t937 () (=> tptp.disjointsetsI1 @t936)) % 1.02/1.25 (define @t938 () (=> tptp.binintersectER @t937)) % 1.02/1.25 (define @t939 () (=> tptp.binintersectSubset3 @t938)) % 1.02/1.25 (define @t940 () (=> tptp.binintersectSubset2 @t939)) % 1.02/1.25 (define @t941 () (=> tptp.binintersectLsub @t940)) % 1.02/1.25 (define @t942 () (=> tptp.binintersectEL @t941)) % 1.02/1.25 (define @t943 () (=> tptp.binintersectSubset5 @t942)) % 1.02/1.25 (define @t944 () (=> tptp.binintersectI @t943)) % 1.02/1.25 (define @t945 () (=> tptp.binunionRsub @t944)) % 1.02/1.25 (define @t946 () (=> tptp.binunionLsub @t945)) % 1.02/1.25 (define @t947 () (=> tptp.binunionE @t946)) % 1.02/1.25 (define @t948 () (=> tptp.binunionEcases @t947)) % 1.02/1.25 (define @t949 () (=> tptp.binunionIR @t948)) % 1.02/1.25 (define @t950 () (=> tptp.upairset2IR @t949)) % 1.02/1.25 (define @t951 () (=> tptp.binunionIL @t950)) % 1.02/1.25 (define @t952 () (=> tptp.sepSubset @t951)) % 1.02/1.25 (define @t953 () (=> tptp.sepInPowerset @t952)) % 1.02/1.25 (define @t954 () (=> tptp.powersetsubset @t953)) % 1.02/1.25 (define @t955 () (=> tptp.inPowerset @t954)) % 1.02/1.25 (define @t956 () (=> tptp.powersetE1 @t955)) % 1.02/1.25 (define @t957 () (=> tptp.powersetI1 @t956)) % 1.02/1.25 (define @t958 () (=> tptp.subsetemptysetimpeq @t957)) % 1.02/1.25 (define @t959 () (=> tptp.setextsub @t958)) % 1.02/1.25 (define @t960 () (=> tptp.subset2powerset @t959)) % 1.02/1.25 (define @t961 () (=> tptp.setadjoinSub2 @t960)) % 1.02/1.25 (define @t962 () (=> tptp.setadjoinSub @t961)) % 1.02/1.25 (define @t963 () (=> tptp.subsetTrans @t962)) % 1.02/1.25 (define @t964 () (=> tptp.subsetRefl @t963)) % 1.02/1.25 (define @t965 () (=> tptp.notequalI2 @t964)) % 1.02/1.25 (define @t966 () (=> tptp.notequalI1 @t965)) % 1.02/1.25 (define @t967 () (=> tptp.notsubsetI @t966)) % 1.02/1.25 (define @t968 () (=> tptp.subsetE2 @t967)) % 1.02/1.25 (define @t969 () (=> tptp.subsetE @t968)) % 1.02/1.25 (define @t970 () (=> tptp.emptysetsubset @t969)) % 1.02/1.25 (define @t971 () (=> tptp.subsetI2 @t970)) % 1.02/1.25 (define @t972 () (=> tptp.eqimpsubset1 @t971)) % 1.02/1.25 (define @t973 () (=> tptp.eqimpsubset2 @t972)) % 1.02/1.25 (define @t974 () (=> tptp.subsetI1 @t973)) % 1.02/1.25 (define @t975 () (=> tptp.dsetconstr__Cong @t974)) % 1.02/1.25 (define @t976 () (=> tptp.descr__Cong @t975)) % 1.02/1.25 (define @t977 () (=> tptp.exuEu @t976)) % 1.02/1.25 (define @t978 () (=> tptp.omega__Cong @t977)) % 1.02/1.25 (define @t979 () (=> tptp.setunion__Cong @t978)) % 1.02/1.25 (define @t980 () (=> tptp.powerset__Cong @t979)) % 1.02/1.25 (define @t981 () (=> tptp.setadjoin__Cong @t980)) % 1.02/1.25 (define @t982 () (=> tptp.emptyset__Cong @t981)) % 1.02/1.25 (define @t983 () (=> tptp.exu__Cong @t982)) % 1.02/1.25 (define @t984 () (=> tptp.exuE3u @t983)) % 1.02/1.25 (define @t985 () (=> tptp.in__Cong @t984)) % 1.02/1.25 (define @t986 () (=> tptp.inCongP @t985)) % 1.02/1.25 (define @t987 () (=> tptp.exuI2 @t986)) % 1.02/1.25 (define @t988 () (=> tptp.exuI3 @t987)) % 1.02/1.25 (define @t989 () (=> tptp.exuI1 @t988)) % 1.02/1.25 (define @t990 () (=> tptp.notdallE @t989)) % 1.02/1.25 (define @t991 () (=> tptp.notdexE @t990)) % 1.02/1.25 (define @t992 () (=> tptp.prop2set2propI @t991)) % 1.02/1.25 (define @t993 () (=> tptp.prop2setI @t992)) % 1.02/1.25 (define @t994 () (=> tptp.quantDeMorgan4 @t993)) % 1.02/1.25 (define @t995 () (=> tptp.quantDeMorgan3 @t994)) % 1.02/1.25 (define @t996 () (=> tptp.quantDeMorgan2 @t995)) % 1.02/1.25 (define @t997 () (=> tptp.quantDeMorgan1 @t996)) % 1.02/1.25 (define @t998 () (=> tptp.vacuousDall @t997)) % 1.02/1.25 (define @t999 () (=> tptp.emptyE1 @t998)) % 1.02/1.25 (define @t1000 () (=> tptp.upairsetIR @t999)) % 1.02/1.25 (define @t1001 () (=> tptp.upairsetIL @t1000)) % 1.02/1.25 (define @t1002 () (=> tptp.upairsetE @t1001)) % 1.02/1.25 (define @t1003 () (=> tptp.singletonsswitch @t1002)) % 1.02/1.25 (define @t1004 () (=> tptp.eqinunit @t1003)) % 1.02/1.25 (define @t1005 () (=> tptp.notinsingleton @t1004)) % 1.02/1.25 (define @t1006 () (=> tptp.uniqinunit @t1005)) % 1.02/1.25 (define @t1007 () (=> tptp.nonemptyImpWitness @t1006)) % 1.02/1.25 (define @t1008 () (=> tptp.exuE2 @t1007)) % 1.02/1.25 (define @t1009 () (=> tptp.subPowSU @t1008)) % 1.02/1.25 (define @t1010 () (=> tptp.setunionE @t1009)) % 1.02/1.25 (define @t1011 () (=> tptp.setunionI @t1010)) % 1.02/1.25 (define @t1012 () (=> tptp.powersetE @t1011)) % 1.02/1.25 (define @t1013 () (=> tptp.emptyInPowerset @t1012)) % 1.02/1.25 (define @t1014 () (=> tptp.emptyinPowerset @t1013)) % 1.02/1.25 (define @t1015 () (=> tptp.powersetI @t1014)) % 1.02/1.25 (define @t1016 () (=> tptp.setoftrueEq @t1015)) % 1.02/1.25 (define @t1017 () (=> tptp.setadjoinOr @t1016)) % 1.02/1.25 (define @t1018 () (=> tptp.setadjoinE @t1017)) % 1.02/1.25 (define @t1019 () (=> tptp.setadjoinIR @t1018)) % 1.02/1.25 (define @t1020 () (=> tptp.emptyinunitempty @t1019)) % 1.02/1.25 (define @t1021 () (=> tptp.setadjoinIL @t1020)) % 1.02/1.25 (define @t1022 () (=> tptp.nonemptyI1 @t1021)) % 1.02/1.25 (define @t1023 () (=> tptp.nonemptyI @t1022)) % 1.02/1.25 (define @t1024 () (=> tptp.nonemptyE1 @t1023)) % 1.02/1.25 (define @t1025 () (=> tptp.setbeta @t1024)) % 1.02/1.25 (define @t1026 () (=> tptp.noeltsimpempty @t1025)) % 1.02/1.25 (define @t1027 () (=> tptp.emptyI @t1026)) % 1.02/1.25 (define @t1028 () (=> tptp.setext @t1027)) % 1.02/1.25 (define @t1029 () (=> tptp.exuE3e @t1028)) % 1.02/1.25 (define @t1030 () (=> tptp.notinemptyset @t1029)) % 1.02/1.25 (define @t1031 () (=> tptp.emptysetimpfalse @t1030)) % 1.02/1.25 (define @t1032 () (=> tptp.emptysetE @t1031)) % 1.02/1.25 (define @t1033 () (=> tptp.prop2setE @t1032)) % 1.02/1.25 (define @t1034 () (=> tptp.exuE1 @t1033)) % 1.02/1.25 (define @t1035 () (=> tptp.dsetconstrER @t1034)) % 1.02/1.25 (define @t1036 () (=> tptp.dsetconstrEL @t1035)) % 1.02/1.25 (define @t1037 () (=> tptp.dsetconstrI @t1036)) % 1.02/1.25 (define @t1038 () (=> tptp.descrp @t1037)) % 1.02/1.25 (define @t1039 () (=> tptp.wellorderingAx @t1038)) % 1.02/1.25 (define @t1040 () (=> tptp.foundationAx @t1039)) % 1.02/1.25 (define @t1041 () (=> tptp.replAx @t1040)) % 1.02/1.25 (define @t1042 () (=> tptp.omegaIndAx @t1041)) % 1.02/1.25 (define @t1043 () (=> tptp.omegaSAx @t1042)) % 1.02/1.25 (define @t1044 () (=> tptp.omega0Ax @t1043)) % 1.02/1.25 (define @t1045 () (=> tptp.setunionAx @t1044)) % 1.02/1.25 (define @t1046 () (=> tptp.powersetAx @t1045)) % 1.02/1.25 (define @t1047 () (=> tptp.setadjoinAx @t1046)) % 1.02/1.25 (define @t1048 () (=> tptp.emptysetAx @t1047)) % 1.02/1.25 (define @t1049 () (=> tptp.setextAx @t1048)) % 1.02/1.25 (define @t1050 () (not @t1049)) % 1.02/1.25 (define @t1051 () (lambda @t150 @t169)) % 1.02/1.25 (define @t1052 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.02/1.25 (define @t1053 () (= @t2 @t279)) % 1.02/1.25 (define @t1054 () (and @t7 @t1053)) % 1.02/1.25 (define @t1055 () (exists @t9 @t1054)) % 1.02/1.25 (define @t1056 () (lambda @t64 @t1055)) % 1.02/1.25 (define @t1057 () (lambda @t309 @t712)) % 1.02/1.25 (define @t1058 () (_ @t520 @t672)) % 1.02/1.25 (define @t1059 () (lambda @t455 @t1058)) % 1.02/1.25 (define @t1060 () (and @t352 @t76 @t678)) % 1.02/1.25 (define @t1061 () (exists @t70 @t1060)) % 1.02/1.25 (define @t1062 () (and @t7 @t1061)) % 1.02/1.25 (define @t1063 () (exists @t9 @t1062)) % 1.02/1.25 (define @t1064 () (lambda @t751 @t1063)) % 1.02/1.25 (define @t1065 () (_ tptp.dsetconstr @t672)) % 1.02/1.25 (define @t1066 () (lambda @t851 (_ @t1065 @t1064))) % 1.02/1.25 (define @t1067 () (tptp.in @t4 @t2)) % 1.02/1.25 (define @t1068 () (@var "BOUND_VARIABLE_8778" $$unsorted)) % 1.02/1.25 (define @t1069 () (@var "BOUND_VARIABLE_12199" $$unsorted)) % 1.02/1.25 (define @t1070 () (tptp.kpair @t1069 @t1068)) % 1.02/1.25 (define @t1071 () (= @t381 @t1070)) % 1.02/1.25 (define @t1072 () (not @t1071)) % 1.02/1.25 (define @t1073 () (_ @t67 @t1069 @t1068)) % 1.02/1.25 (define @t1074 () (not @t1073)) % 1.02/1.25 (define @t1075 () (tptp.in @t1068 @t1)) % 1.02/1.25 (define @t1076 () (not @t1075)) % 1.02/1.25 (define @t1077 () (tptp.in @t1069 @t2)) % 1.02/1.25 (define @t1078 () (not @t1077)) % 1.02/1.25 (define @t1079 () (or @t1078 @t1076 @t1074 @t1072)) % 1.02/1.25 (define @t1080 () (@list @t1069 @t1068)) % 1.02/1.25 (define @t1081 () (forall @t1080 @t1079)) % 1.02/1.25 (define @t1082 () (not @t1081)) % 1.02/1.25 (define @t1083 () (lambda @t751 @t1082)) % 1.02/1.25 (define @t1084 () (tptp.cartprod @t2 @t1)) % 1.02/1.25 (define @t1085 () (tptp.dsetconstr @t1084 @t1083)) % 1.02/1.25 (define @t1086 () (tptp.kpair @t4 @t19)) % 1.02/1.25 (define @t1087 () (tptp.in @t1086 @t1085)) % 1.02/1.25 (define @t1088 () (forall @t863 (or (not @t1087) @t1067))) % 1.02/1.25 (define @t1089 () (@var "BOUND_VARIABLE_11993" $$unsorted)) % 1.02/1.25 (define @t1090 () (_ @t67 @t4 @t1089)) % 1.02/1.25 (define @t1091 () (@var "BOUND_VARIABLE_11968" $$unsorted)) % 1.02/1.25 (define @t1092 () (tptp.dsetconstr @t1084 (lambda @t751 (not (forall (@list @t1091 @t1068) (or (not (tptp.in @t1091 @t2)) @t1076 (not (_ @t67 @t1091 @t1068)) (not (= @t381 (tptp.kpair @t1091 @t1068))))))))) % 1.02/1.25 (define @t1093 () (not (tptp.in (tptp.kpair @t4 @t1089) @t1092))) % 1.02/1.25 (define @t1094 () (not (tptp.in @t1089 @t1))) % 1.02/1.25 (define @t1095 () (not @t1067)) % 1.02/1.25 (define @t1096 () (or @t1095 @t1094 @t1093 @t1090)) % 1.02/1.25 (define @t1097 () (@list @t2 @t1 @t67 @t4 @t1089)) % 1.02/1.25 (define @t1098 () (tptp.kpair @t4 @t1068)) % 1.02/1.25 (define @t1099 () (= @t381 @t1098)) % 1.02/1.25 (define @t1100 () (not @t1099)) % 1.02/1.25 (define @t1101 () (_ @t67 @t4 @t1068)) % 1.02/1.25 (define @t1102 () (not @t1101)) % 1.02/1.25 (define @t1103 () (or @t1095 @t1076 @t1102 @t1100)) % 1.02/1.25 (define @t1104 () (@list @t4 @t1068)) % 1.02/1.25 (define @t1105 () (forall @t1104 @t1103)) % 1.02/1.25 (define @t1106 () (not @t1105)) % 1.02/1.25 (define @t1107 () (lambda @t751 @t1106)) % 1.02/1.25 (define @t1108 () (tptp.dsetconstr @t1084 @t1107)) % 1.02/1.25 (define @t1109 () (tptp.subset @t1108 @t1084)) % 1.02/1.25 (define @t1110 () (forall @t851 @t1109)) % 1.02/1.25 (define @t1111 () (@var "BOUND_VARIABLE_11876" $$unsorted)) % 1.02/1.25 (define @t1112 () (tptp.dsetconstr @t1084 (lambda @t751 (not (forall (@list @t1111 @t1068) (or (not (tptp.in @t1111 @t2)) @t1076 (not (_ @t67 @t1111 @t1068)) (not (= @t381 (tptp.kpair @t1111 @t1068))))))))) % 1.02/1.25 (define @t1113 () (@var "BOUND_VARIABLE_11900" $$unsorted)) % 1.02/1.25 (define @t1114 () (tptp.in (tptp.kpair @t4 @t1113) @t1112)) % 1.02/1.25 (define @t1115 () (not (_ @t67 @t4 @t1113))) % 1.02/1.25 (define @t1116 () (not (tptp.in @t1113 @t1))) % 1.02/1.25 (define @t1117 () (or @t1095 @t1116 @t1115 @t1114)) % 1.02/1.25 (define @t1118 () (@list @t2 @t1 @t67 @t4 @t1113)) % 1.02/1.25 (define @t1119 () (tptp.ksnd @t381)) % 1.02/1.25 (define @t1120 () (tptp.kfst @t381)) % 1.02/1.25 (define @t1121 () (tptp.kpair @t1120 @t1119)) % 1.02/1.25 (define @t1122 () (= @t381 @t1121)) % 1.02/1.25 (define @t1123 () (tptp.in @t381 @t1084)) % 1.02/1.25 (define @t1124 () (not @t1123)) % 1.02/1.25 (define @t1125 () (@var "BOUND_VARIABLE_11805" $$unsorted)) % 1.02/1.25 (define @t1126 () (= @t1125 (tptp.ksnd (tptp.kpair @t4 @t1125)))) % 1.02/1.25 (define @t1127 () (not (tptp.in @t1125 @t1))) % 1.02/1.25 (define @t1128 () (or @t1095 @t1127 @t1126)) % 1.02/1.25 (define @t1129 () (@list @t2 @t1 @t4 @t1125)) % 1.02/1.25 (define @t1130 () (@var "BOUND_VARIABLE_11778" $$unsorted)) % 1.02/1.25 (define @t1131 () (= @t4 (tptp.kfst (tptp.kpair @t4 @t1130)))) % 1.02/1.25 (define @t1132 () (not (tptp.in @t1130 @t1))) % 1.02/1.25 (define @t1133 () (or @t1095 @t1132 @t1131)) % 1.02/1.25 (define @t1134 () (@list @t2 @t1 @t4 @t1130)) % 1.02/1.25 (define @t1135 () (=> (forall @t1134 @t1133) (=> (forall @t1129 @t1128) (=> (forall @t686 (or @t1124 @t1122)) (=> (forall @t1118 @t1117) (=> @t1110 (=> @t1110 (=> (forall @t1097 @t1096) @t1088)))))))) % 1.02/1.25 (define @t1136 () (tptp.in @t19 @t1)) % 1.02/1.25 (define @t1137 () (tptp.in @t1086 @t1084)) % 1.02/1.25 (define @t1138 () (not @t1137)) % 1.02/1.25 (define @t1139 () (forall @t816 (or @t1138 @t1136))) % 1.02/1.25 (define @t1140 () (forall @t816 (or @t1138 @t1067))) % 1.02/1.25 (define @t1141 () (tptp.in @t1119 @t1)) % 1.02/1.25 (define @t1142 () (forall @t686 (or @t1124 @t1141))) % 1.02/1.25 (define @t1143 () (tptp.iskpair @t381)) % 1.02/1.25 (define @t1144 () (not @t1143)) % 1.02/1.25 (define @t1145 () (forall @t751 (or @t1144 @t1122))) % 1.02/1.25 (define @t1146 () (tptp.ksnd @t1086)) % 1.02/1.25 (define @t1147 () (= @t19 @t1146)) % 1.02/1.25 (define @t1148 () (forall @t135 @t1147)) % 1.02/1.25 (define @t1149 () (@var "BOUND_VARIABLE_11681" $$unsorted)) % 1.02/1.25 (define @t1150 () (tptp.kpair @t1120 @t1149)) % 1.02/1.25 (define @t1151 () (= @t381 @t1150)) % 1.02/1.25 (define @t1152 () (@list @t1149)) % 1.02/1.25 (define @t1153 () (lambda @t1152 @t1151)) % 1.02/1.25 (define @t1154 () (tptp.setunion @t381)) % 1.02/1.25 (define @t1155 () (tptp.dsetconstr @t1154 @t1153)) % 1.02/1.25 (define @t1156 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.02/1.25 (define @t1157 () (not (forall @t9 (or (not (tptp.in @t4 @t1155)) (not (= @t1156 @t1155)))))) % 1.02/1.25 (define @t1158 () (forall @t751 (or @t1144 @t1157))) % 1.02/1.25 (define @t1159 () (tptp.kpair @t289 @t381)) % 1.02/1.25 (define @t1160 () (not (= @t1086 @t1159))) % 1.02/1.25 (define @t1161 () (forall @t772 (or @t1160 @t786))) % 1.02/1.25 (define @t1162 () (tptp.setadjoin @t381 tptp.emptyset)) % 1.02/1.25 (define @t1163 () (tptp.setadjoin @t289 @t1162)) % 1.02/1.25 (define @t1164 () (tptp.setadjoin @t1163 tptp.emptyset)) % 1.02/1.25 (define @t1165 () (tptp.setadjoin @t289 tptp.emptyset)) % 1.02/1.25 (define @t1166 () (tptp.setadjoin @t1165 @t1164)) % 1.02/1.25 (define @t1167 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.02/1.25 (define @t1168 () (tptp.setadjoin @t4 @t1167)) % 1.02/1.25 (define @t1169 () (tptp.setadjoin @t1168 tptp.emptyset)) % 1.02/1.25 (define @t1170 () (tptp.setadjoin @t1156 @t1169)) % 1.02/1.25 (define @t1171 () (not (= @t1170 @t1166))) % 1.02/1.25 (define @t1172 () (forall @t772 (or @t1171 @t786))) % 1.02/1.25 (define @t1173 () (forall @t295 (or (not (= @t1168 @t1165)) @t129))) % 1.02/1.25 (define @t1174 () (not (= @t1170 (tptp.setadjoin @t1162 (tptp.setadjoin (tptp.setadjoin @t381 @t1162) tptp.emptyset))))) % 1.02/1.25 (define @t1175 () (or @t1174 @t786)) % 1.02/1.25 (define @t1176 () (@list @t4 @t19 @t381)) % 1.02/1.25 (define @t1177 () (forall @t1176 @t1175)) % 1.02/1.25 (define @t1178 () (tptp.setadjoin @t19 @t1167)) % 1.02/1.25 (define @t1179 () (= (tptp.setadjoin @t1167 (tptp.setadjoin @t1178 tptp.emptyset)) (tptp.setadjoin @t1167 tptp.emptyset))) % 1.02/1.25 (define @t1180 () (forall @t70 @t1179)) % 1.02/1.25 (define @t1181 () (= @t1167 @t1178)) % 1.02/1.25 (define @t1182 () (forall @t70 @t1181)) % 1.02/1.25 (define @t1183 () (forall @t772 (or @t1160 @t740))) % 1.02/1.25 (define @t1184 () (forall @t772 (or @t1171 @t740))) % 1.02/1.25 (define @t1185 () (tptp.in @t1120 @t2)) % 1.02/1.25 (define @t1186 () (forall @t686 (or @t1124 @t1185))) % 1.02/1.25 (define @t1187 () (tptp.kfst @t1086)) % 1.02/1.25 (define @t1188 () (= @t4 @t1187)) % 1.02/1.25 (define @t1189 () (forall @t135 @t1188)) % 1.02/1.25 (define @t1190 () (@var "BOUND_VARIABLE_11521" $$unsorted)) % 1.02/1.25 (define @t1191 () (tptp.setadjoin @t1190 tptp.emptyset)) % 1.02/1.25 (define @t1192 () (not (tptp.in @t1190 @t1191))) % 1.02/1.25 (define @t1193 () (tptp.in (tptp.setunion @t1191) @t1191)) % 1.02/1.25 (define @t1194 () (or @t1193 @t1192)) % 1.02/1.25 (define @t1195 () (@list @t1190)) % 1.02/1.25 (define @t1196 () (forall @t1195 @t1194)) % 1.02/1.25 (define @t1197 () (@var "BOUND_VARIABLE_11461" $$unsorted)) % 1.02/1.25 (define @t1198 () (tptp.setadjoin @t1197 tptp.emptyset)) % 1.02/1.25 (define @t1199 () (tptp.in @t1198 @t381)) % 1.02/1.25 (define @t1200 () (@list @t1197)) % 1.02/1.25 (define @t1201 () (lambda @t1200 @t1199)) % 1.02/1.25 (define @t1202 () (tptp.dsetconstr @t1154 @t1201)) % 1.02/1.25 (define @t1203 () (not (forall @t9 (or (not (tptp.in @t4 @t1202)) (not (= @t1156 @t1202)))))) % 1.02/1.25 (define @t1204 () (forall @t751 (or @t1144 @t1203))) % 1.02/1.25 (define @t1205 () (tptp.in @t1165 @t1170)) % 1.02/1.25 (define @t1206 () (forall @t295 (or (not @t1205) @t740))) % 1.02/1.25 (define @t1207 () (forall @t135 (or (not (= @t1156 @t1167)) @t129))) % 1.02/1.25 (define @t1208 () (@var "BOUND_VARIABLE_11278" $$unsorted)) % 1.02/1.25 (define @t1209 () (not (_ @t143 @t1208))) % 1.02/1.25 (define @t1210 () (not (tptp.in @t1208 @t2))) % 1.02/1.25 (define @t1211 () (tptp.dsetconstr @t2 @t143)) % 1.02/1.25 (define @t1212 () (tptp.in @t4 @t1211)) % 1.02/1.25 (define @t1213 () (not @t1212)) % 1.02/1.25 (define @t1214 () (forall @t9 (or @t1213 (not (= @t1156 @t1211))))) % 1.02/1.25 (define @t1215 () (not @t1214)) % 1.02/1.25 (define @t1216 () (@var "BOUND_VARIABLE_11258" $$unsorted)) % 1.02/1.25 (define @t1217 () (= @t4 @t1216)) % 1.02/1.25 (define @t1218 () (not (_ @t143 @t1216))) % 1.02/1.25 (define @t1219 () (not (tptp.in @t1216 @t2))) % 1.02/1.25 (define @t1220 () (_ @t143 @t4)) % 1.02/1.25 (define @t1221 () (not @t1220)) % 1.02/1.25 (define @t1222 () (or @t1095 @t1221 @t1219 @t1218 @t1217)) % 1.02/1.25 (define @t1223 () (@list @t4 @t1216)) % 1.02/1.25 (define @t1224 () (forall @t1223 @t1222)) % 1.02/1.25 (define @t1225 () (not @t1224)) % 1.02/1.25 (define @t1226 () (or @t1225 @t1215 @t1210 @t1209)) % 1.02/1.25 (define @t1227 () (@list @t2 @t143 @t1208)) % 1.02/1.25 (define @t1228 () (forall @t1227 @t1226)) % 1.02/1.25 (define @t1229 () (@var "BOUND_VARIABLE_11379" $$unsorted)) % 1.02/1.25 (define @t1230 () (tptp.setadjoin @t1229 tptp.emptyset)) % 1.02/1.25 (define @t1231 () (not (tptp.in @t1229 @t1211))) % 1.02/1.25 (define @t1232 () (@list @t1229)) % 1.02/1.25 (define @t1233 () (not (forall @t1232 (or @t1231 (not (= @t1211 @t1230)))))) % 1.02/1.25 (define @t1234 () (_ @t143 @t19)) % 1.02/1.25 (define @t1235 () (not @t1234)) % 1.02/1.25 (define @t1236 () (tptp.in @t19 @t2)) % 1.02/1.25 (define @t1237 () (not @t1236)) % 1.02/1.25 (define @t1238 () (forall @t70 (or @t1237 @t1235 @t129))) % 1.02/1.25 (define @t1239 () (not @t1238)) % 1.02/1.25 (define @t1240 () (forall @t159 (or @t1095 @t1221 @t1239 @t1233))) % 1.02/1.25 (define @t1241 () (@var "BOUND_VARIABLE_11336" $$unsorted)) % 1.02/1.25 (define @t1242 () (tptp.setadjoin @t1241 tptp.emptyset)) % 1.02/1.25 (define @t1243 () (not (tptp.in @t1241 @t1211))) % 1.02/1.25 (define @t1244 () (forall @t9 (or @t1095 @t1221))) % 1.02/1.25 (define @t1245 () (not @t1244)) % 1.02/1.25 (define @t1246 () (@list @t2 @t143 @t1241)) % 1.02/1.25 (define @t1247 () (forall @t1246 (or @t1245 @t1243 (not (= @t1211 @t1242))))) % 1.02/1.25 (define @t1248 () (tptp.setunion @t1156)) % 1.02/1.25 (define @t1249 () (forall @t9 (= @t4 @t1248))) % 1.02/1.25 (define @t1250 () (tptp.setadjoin @t2 tptp.emptyset)) % 1.02/1.25 (define @t1251 () (tptp.setunion @t1250)) % 1.02/1.25 (define @t1252 () (tptp.subset @t2 @t1251)) % 1.02/1.25 (define @t1253 () (forall @t64 @t1252)) % 1.02/1.25 (define @t1254 () (tptp.subset @t1251 @t2)) % 1.02/1.25 (define @t1255 () (forall @t64 @t1254)) % 1.02/1.25 (define @t1256 () (tptp.in @t4 @t692)) % 1.02/1.25 (define @t1257 () (not @t1256)) % 1.02/1.25 (define @t1258 () (tptp.in @t692 @t2)) % 1.02/1.25 (define @t1259 () (not (forall @t696 (or (not @t1258) @t1257)))) % 1.02/1.25 (define @t1260 () (tptp.setunion @t2)) % 1.02/1.25 (define @t1261 () (tptp.in @t4 @t1260)) % 1.02/1.25 (define @t1262 () (not @t1261)) % 1.02/1.25 (define @t1263 () (forall @t46 (or @t1262 @t1259))) % 1.02/1.25 (define @t1264 () (forall @t686 (or @t1124 @t1143))) % 1.02/1.25 (define @t1265 () (@var "BOUND_VARIABLE_11161" $$unsorted)) % 1.02/1.25 (define @t1266 () (not (= @t381 (tptp.kpair @t4 @t1265)))) % 1.02/1.25 (define @t1267 () (not (tptp.in @t1265 @t1))) % 1.02/1.25 (define @t1268 () (or @t1095 @t1267 @t1266)) % 1.02/1.25 (define @t1269 () (@list @t4 @t1265)) % 1.02/1.25 (define @t1270 () (not (forall @t1269 @t1268))) % 1.02/1.25 (define @t1271 () (forall @t686 (or @t1124 @t1270))) % 1.02/1.25 (define @t1272 () (@var "BOUND_VARIABLE_11130" $$unsorted)) % 1.02/1.25 (define @t1273 () (tptp.in (tptp.kpair @t4 @t1272) @t1084)) % 1.02/1.25 (define @t1274 () (not (tptp.in @t1272 @t1))) % 1.02/1.25 (define @t1275 () (or @t1095 @t1274 @t1273)) % 1.02/1.25 (define @t1276 () (@list @t2 @t1 @t4 @t1272)) % 1.02/1.25 (define @t1277 () (forall @t1276 @t1275)) % 1.02/1.25 (define @t1278 () (tptp.binunion @t2 @t1)) % 1.02/1.25 (define @t1279 () (tptp.powerset @t1278)) % 1.02/1.25 (define @t1280 () (tptp.powerset @t1279)) % 1.02/1.25 (define @t1281 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 1.02/1.25 (define @t1282 () (tptp.in (tptp.kpair @t4 @t1281) @t1280)) % 1.02/1.25 (define @t1283 () (not (tptp.in @t1281 @t1))) % 1.02/1.25 (define @t1284 () (or @t1095 @t1283 @t1282)) % 1.02/1.25 (define @t1285 () (@list @t2 @t1 @t4 @t1281)) % 1.02/1.25 (define @t1286 () (forall @t1285 @t1284)) % 1.02/1.25 (define @t1287 () (@var "BOUND_VARIABLE_11073" $$unsorted)) % 1.02/1.25 (define @t1288 () (tptp.in (tptp.setadjoin @t1156 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1287 tptp.emptyset)) tptp.emptyset)) @t1280)) % 1.02/1.25 (define @t1289 () (not (tptp.in @t1287 @t1))) % 1.02/1.25 (define @t1290 () (or @t1095 @t1289 @t1288)) % 1.02/1.25 (define @t1291 () (@list @t2 @t1 @t4 @t1287)) % 1.02/1.25 (define @t1292 () (forall @t1291 @t1290)) % 1.02/1.25 (define @t1293 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 1.02/1.25 (define @t1294 () (tptp.subset (tptp.setadjoin @t1156 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1293 tptp.emptyset)) tptp.emptyset)) @t1279)) % 1.02/1.25 (define @t1295 () (not (tptp.in @t1293 @t1))) % 1.02/1.25 (define @t1296 () (or @t1095 @t1295 @t1294)) % 1.02/1.25 (define @t1297 () (@list @t2 @t1 @t4 @t1293)) % 1.02/1.25 (define @t1298 () (forall @t1297 @t1296)) % 1.02/1.25 (define @t1299 () (@var "BOUND_VARIABLE_11013" $$unsorted)) % 1.02/1.25 (define @t1300 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t1299 tptp.emptyset)) @t1279)) % 1.02/1.25 (define @t1301 () (not (tptp.in @t1299 @t1))) % 1.02/1.25 (define @t1302 () (or @t1095 @t1301 @t1300)) % 1.02/1.25 (define @t1303 () (@list @t2 @t1 @t4 @t1299)) % 1.02/1.25 (define @t1304 () (forall @t1303 @t1302)) % 1.02/1.25 (define @t1305 () (@var "BOUND_VARIABLE_10985" $$unsorted)) % 1.02/1.25 (define @t1306 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t1305 tptp.emptyset)) @t1278)) % 1.02/1.25 (define @t1307 () (not (tptp.in @t1305 @t1))) % 1.02/1.25 (define @t1308 () (or @t1095 @t1307 @t1306)) % 1.02/1.25 (define @t1309 () (@list @t2 @t1 @t4 @t1305)) % 1.02/1.25 (define @t1310 () (forall @t1309 @t1308)) % 1.02/1.25 (define @t1311 () (= @t19 @t289)) % 1.02/1.25 (define @t1312 () (tptp.in @t289 @t1168)) % 1.02/1.25 (define @t1313 () (forall @t295 (or (not @t1312) @t740 @t1311))) % 1.02/1.25 (define @t1314 () (tptp.in @t1156 @t1279)) % 1.02/1.25 (define @t1315 () (forall @t245 (or @t1095 @t1314))) % 1.02/1.25 (define @t1316 () (tptp.powerset @t2)) % 1.02/1.25 (define @t1317 () (tptp.in @t1156 @t1316)) % 1.02/1.25 (define @t1318 () (forall @t46 (or @t1095 @t1317))) % 1.02/1.25 (define @t1319 () (tptp.subset @t1156 @t2)) % 1.02/1.25 (define @t1320 () (forall @t46 (or @t1095 @t1319))) % 1.02/1.25 (define @t1321 () (tptp.iskpair @t1086)) % 1.02/1.25 (define @t1322 () (forall @t135 @t1321)) % 1.02/1.25 (define @t1323 () (tptp.iskpair @t1170)) % 1.02/1.25 (define @t1324 () (forall @t135 @t1323)) % 1.02/1.25 (define @t1325 () (tptp.setunion @t1170)) % 1.02/1.25 (define @t1326 () (tptp.in @t19 @t1325)) % 1.02/1.25 (define @t1327 () (forall @t135 @t1326)) % 1.02/1.25 (define @t1328 () (tptp.in @t4 @t1325)) % 1.02/1.25 (define @t1329 () (forall @t135 @t1328)) % 1.02/1.25 (define @t1330 () (tptp.in @t19 @t1168)) % 1.02/1.25 (define @t1331 () (forall @t135 @t1330)) % 1.02/1.25 (define @t1332 () (tptp.symdiff @t2 @t1)) % 1.02/1.25 (define @t1333 () (tptp.in @t4 @t1332)) % 1.02/1.25 (define @t1334 () (not @t1333)) % 1.02/1.25 (define @t1335 () (tptp.in @t4 @t1)) % 1.02/1.25 (define @t1336 () (forall @t245 (or @t1067 @t1335 @t1334))) % 1.02/1.25 (define @t1337 () (not @t1335)) % 1.02/1.25 (define @t1338 () (forall @t245 (or @t1095 @t1337 @t1334))) % 1.02/1.25 (define @t1339 () (forall @t245 (or @t1067 @t1337 @t1333))) % 1.02/1.25 (define @t1340 () (forall @t245 (or @t1095 @t1335 @t1333))) % 1.02/1.25 (define @t1341 () (and @t1095 @t1335)) % 1.02/1.25 (define @t1342 () (and @t1067 @t1337)) % 1.02/1.25 (define @t1343 () (forall @t245 (or @t1334 @t1342 @t1341))) % 1.02/1.25 (define @t1344 () (tptp.subset @t2 @t1)) % 1.02/1.25 (define @t1345 () (tptp.setminus @t2 @t1)) % 1.02/1.25 (define @t1346 () (= tptp.emptyset @t1345)) % 1.02/1.25 (define @t1347 () (forall @t12 (or (not @t1346) @t1344))) % 1.02/1.25 (define @t1348 () (tptp.subset @t1345 @t2)) % 1.02/1.25 (define @t1349 () (forall @t12 @t1348)) % 1.02/1.25 (define @t1350 () (tptp.in @t4 @t1345)) % 1.02/1.25 (define @t1351 () (not @t1350)) % 1.02/1.25 (define @t1352 () (forall @t245 (or @t1337 @t1351))) % 1.02/1.25 (define @t1353 () (forall @t245 (or @t1067 @t1351))) % 1.02/1.25 (define @t1354 () (forall @t245 (or @t1350 @t1335 @t1095))) % 1.02/1.25 (define @t1355 () (forall @t245 (or @t1350 @t1095 @t1335))) % 1.02/1.25 (define @t1356 () (not @t1344)) % 1.02/1.25 (define @t1357 () (forall @t12 (or @t1356 @t1346))) % 1.02/1.25 (define @t1358 () (forall @t245 (or @t1351 @t1337))) % 1.02/1.25 (define @t1359 () (forall @t245 (or @t1351 @t1067))) % 1.02/1.25 (define @t1360 () (forall @t245 (or @t1095 @t1335 @t1350))) % 1.02/1.25 (define @t1361 () (tptp.binintersect @t2 @t104)) % 1.02/1.25 (define @t1362 () (tptp.binintersect @t2 @t1)) % 1.02/1.25 (define @t1363 () (tptp.binunion @t1362 @t1361)) % 1.02/1.25 (define @t1364 () (tptp.binunion @t1 @t104)) % 1.02/1.25 (define @t1365 () (tptp.binintersect @t2 @t1364)) % 1.02/1.25 (define @t1366 () (forall @t455 (= @t1365 @t1363))) % 1.02/1.25 (define @t1367 () (= @t2 @t1362)) % 1.02/1.25 (define @t1368 () (forall @t12 (or (not @t1367) @t1344))) % 1.02/1.25 (define @t1369 () (= @t1 @t1362)) % 1.02/1.25 (define @t1370 () (tptp.subset @t1 @t2)) % 1.02/1.25 (define @t1371 () (not @t1370)) % 1.02/1.25 (define @t1372 () (forall @t12 (or @t1371 @t1369))) % 1.02/1.25 (define @t1373 () (tptp.subset @t1362 @t1)) % 1.02/1.25 (define @t1374 () (forall @t12 @t1373)) % 1.02/1.25 (define @t1375 () (forall @t9 (or @t1095 @t1337))) % 1.02/1.25 (define @t1376 () (not @t1375)) % 1.02/1.25 (define @t1377 () (forall @t12 (or @t1376 (= tptp.emptyset @t1362)))) % 1.02/1.25 (define @t1378 () (tptp.in @t4 @t1362)) % 1.02/1.25 (define @t1379 () (not @t1378)) % 1.02/1.25 (define @t1380 () (forall @t245 (or @t1379 @t1335))) % 1.02/1.25 (define @t1381 () (forall @t12 (or (not @t1369) @t1370))) % 1.02/1.25 (define @t1382 () (forall @t12 (or @t1356 @t1367))) % 1.02/1.25 (define @t1383 () (tptp.subset @t1362 @t2)) % 1.02/1.25 (define @t1384 () (forall @t12 @t1383)) % 1.02/1.25 (define @t1385 () (forall @t245 (or @t1379 @t1067))) % 1.02/1.25 (define @t1386 () (tptp.subset @t104 @t1362)) % 1.02/1.25 (define @t1387 () (tptp.subset @t104 @t1)) % 1.02/1.25 (define @t1388 () (tptp.subset @t104 @t2)) % 1.02/1.25 (define @t1389 () (forall @t455 (or (not @t1388) (not @t1387) @t1386))) % 1.02/1.25 (define @t1390 () (forall @t245 (or @t1095 @t1337 @t1378))) % 1.02/1.25 (define @t1391 () (tptp.subset @t1 @t1278)) % 1.02/1.25 (define @t1392 () (forall @t12 @t1391)) % 1.02/1.25 (define @t1393 () (tptp.subset @t2 @t1278)) % 1.02/1.25 (define @t1394 () (forall @t12 @t1393)) % 1.02/1.25 (define @t1395 () (tptp.in @t4 @t1278)) % 1.02/1.25 (define @t1396 () (not @t1395)) % 1.02/1.25 (define @t1397 () (forall @t245 (or @t1396 @t1067 @t1335))) % 1.02/1.25 (define @t1398 () (forall @t245 (or @t1337 @t1395))) % 1.02/1.25 (define @t1399 () (forall @t245 (or @t1095 @t1395))) % 1.02/1.25 (define @t1400 () (forall @t309 (tptp.subset @t1211 @t2))) % 1.02/1.25 (define @t1401 () (forall @t309 (tptp.in @t1211 @t1316))) % 1.02/1.25 (define @t1402 () (tptp.powerset @t1)) % 1.02/1.25 (define @t1403 () (tptp.subset @t1316 @t1402)) % 1.02/1.25 (define @t1404 () (forall @t12 (or @t1356 @t1403))) % 1.02/1.25 (define @t1405 () (tptp.in @t2 @t1316)) % 1.02/1.25 (define @t1406 () (forall @t64 @t1405)) % 1.02/1.25 (define @t1407 () (tptp.in @t1 @t1316)) % 1.02/1.25 (define @t1408 () (not @t1407)) % 1.02/1.25 (define @t1409 () (forall @t12 (or @t1408 @t1370))) % 1.02/1.25 (define @t1410 () (forall @t12 (or @t1371 @t1407))) % 1.02/1.25 (define @t1411 () (tptp.subset @t2 tptp.emptyset)) % 1.02/1.25 (define @t1412 () (forall @t64 (or (not @t1411) @t196))) % 1.02/1.25 (define @t1413 () (forall @t12 (or @t1356 @t1371 @t3))) % 1.02/1.25 (define @t1414 () (tptp.in @t2 @t1402)) % 1.02/1.25 (define @t1415 () (forall @t12 (or @t1356 @t1414))) % 1.02/1.25 (define @t1416 () (tptp.setadjoin @t4 @t1)) % 1.02/1.25 (define @t1417 () (tptp.subset @t2 @t1416)) % 1.02/1.25 (define @t1418 () (forall @t249 (or @t1356 @t1417))) % 1.02/1.25 (define @t1419 () (tptp.setadjoin @t4 @t2)) % 1.02/1.25 (define @t1420 () (tptp.subset @t2 @t1419)) % 1.02/1.25 (define @t1421 () (forall @t459 @t1420)) % 1.02/1.25 (define @t1422 () (tptp.subset @t2 @t104)) % 1.02/1.25 (define @t1423 () (tptp.subset @t1 @t104)) % 1.02/1.25 (define @t1424 () (forall @t455 (or @t1356 (not @t1423) @t1422))) % 1.02/1.25 (define @t1425 () (tptp.subset @t2 @t2)) % 1.02/1.25 (define @t1426 () (forall @t64 @t1425)) % 1.02/1.25 (define @t1427 () (tptp.subset @t1 @t1)) % 1.02/1.25 (define @t1428 () (forall @t41 @t1427)) % 1.02/1.25 (define @t1429 () (forall @t245 (or @t1095 @t1335 @t1356))) % 1.02/1.25 (define @t1430 () (forall @t245 (or @t1356 @t1335 @t1095))) % 1.02/1.25 (define @t1431 () (forall @t245 (or @t1356 @t1095 @t1335))) % 1.02/1.25 (define @t1432 () (tptp.subset tptp.emptyset @t2)) % 1.02/1.25 (define @t1433 () (forall @t64 @t1432)) % 1.02/1.25 (define @t1434 () (forall @t9 (or @t1095 @t1335))) % 1.02/1.25 (define @t1435 () (not @t1434)) % 1.02/1.25 (define @t1436 () (forall @t12 (or @t1435 @t1344))) % 1.02/1.25 (define @t1437 () (@var "BOUND_VARIABLE_10383" (-> $$unsorted Bool))) % 1.02/1.25 (define @t1438 () (tptp.dsetconstr @t1 @t1437)) % 1.02/1.25 (define @t1439 () (@var "BOUND_VARIABLE_10385" (-> $$unsorted Bool))) % 1.02/1.25 (define @t1440 () (tptp.dsetconstr @t1 @t1439)) % 1.02/1.25 (define @t1441 () (= @t1440 @t1438)) % 1.02/1.25 (define @t1442 () (= (_ @t1437 @t4) (_ @t1439 @t4))) % 1.02/1.25 (define @t1443 () (or @t1337 @t1442)) % 1.02/1.25 (define @t1444 () (not (forall @t9 @t1443))) % 1.02/1.25 (define @t1445 () (or @t1444 @t1441)) % 1.02/1.25 (define @t1446 () (@list @t1 @t1437 @t1439)) % 1.02/1.25 (define @t1447 () (forall @t1446 @t1445)) % 1.02/1.25 (define @t1448 () (@var "BOUND_VARIABLE_10324" $$unsorted)) % 1.02/1.25 (define @t1449 () (_ @t366 @t19)) % 1.02/1.25 (define @t1450 () (not @t1449)) % 1.02/1.25 (define @t1451 () (not (_ @t366 @t1448))) % 1.02/1.25 (define @t1452 () (@var "BOUND_VARIABLE_10315" $$unsorted)) % 1.02/1.25 (define @t1453 () (not (_ @t143 @t1452))) % 1.02/1.25 (define @t1454 () (tptp.descr @t143)) % 1.02/1.25 (define @t1455 () (= @t1454 (tptp.descr @t366))) % 1.02/1.25 (define @t1456 () (= @t1234 @t1449)) % 1.02/1.25 (define @t1457 () (forall @t70 @t1456)) % 1.02/1.25 (define @t1458 () (not @t1457)) % 1.02/1.25 (define @t1459 () (@list @t143 @t366 @t1452 @t1448)) % 1.02/1.25 (define @t1460 () (forall @t1459 (or @t1458 @t1455 @t1453 (not (forall @t70 (or @t1235 (= @t19 @t1452)))) @t1451 (not (forall @t70 (or @t1450 (= @t19 @t1448))))))) % 1.02/1.25 (define @t1461 () (@var "BOUND_VARIABLE_10157" $$unsorted)) % 1.02/1.25 (define @t1462 () (@var "BOUND_VARIABLE_10155" $$unsorted)) % 1.02/1.25 (define @t1463 () (= @t1462 @t1461)) % 1.02/1.25 (define @t1464 () (not (_ @t143 @t1461))) % 1.02/1.25 (define @t1465 () (not (_ @t143 @t1462))) % 1.02/1.25 (define @t1466 () (@var "BOUND_VARIABLE_10146" $$unsorted)) % 1.02/1.25 (define @t1467 () (not (_ @t143 @t1466))) % 1.02/1.25 (define @t1468 () (@list @t143 @t1466 @t1462 @t1461)) % 1.02/1.25 (define @t1469 () (forall @t1468 (or @t1467 (not (forall @t70 (or @t1235 (= @t19 @t1466)))) @t1465 @t1464 @t1463))) % 1.02/1.25 (define @t1470 () (not (forall @t70 (or @t1450 @t129)))) % 1.02/1.25 (define @t1471 () (_ @t366 @t4)) % 1.02/1.25 (define @t1472 () (forall @t9 (or (not @t1471) @t1470))) % 1.02/1.25 (define @t1473 () (not @t1472)) % 1.02/1.25 (define @t1474 () (forall @t70 (or @t1235 @t129))) % 1.02/1.25 (define @t1475 () (not @t1474)) % 1.02/1.25 (define @t1476 () (forall @t9 (or @t1221 @t1475))) % 1.02/1.25 (define @t1477 () (not @t1476)) % 1.02/1.25 (define @t1478 () (= @t1477 @t1473)) % 1.02/1.25 (define @t1479 () (forall @t376 (or @t1458 @t1478))) % 1.02/1.25 (define @t1480 () (@var "BOUND_VARIABLE_10053" $$unsorted)) % 1.02/1.25 (define @t1481 () (@list @t143 @t1480)) % 1.02/1.25 (define @t1482 () (forall @t1481 (or (not (forall @t70 (= @t1234 (= @t19 @t1480)))) @t1477))) % 1.02/1.25 (define @t1483 () (forall @t135 (or @t1221 @t1235 @t129))) % 1.02/1.25 (define @t1484 () (not @t1483)) % 1.02/1.25 (define @t1485 () (@var "BOUND_VARIABLE_10037" $$unsorted)) % 1.02/1.25 (define @t1486 () (not (_ @t143 @t1485))) % 1.02/1.25 (define @t1487 () (or @t1486 @t1484 @t1477)) % 1.02/1.25 (define @t1488 () (forall (@list @t143 @t1485) @t1487)) % 1.02/1.25 (define @t1489 () (=> @t1488 (=> @t1482 (=> @t1469 (=> @t1479 (=> @t1469 (=> @t1460 (=> @t1447 (=> @t1436 (=> @t1428 (=> @t1428 (=> @t1436 (=> @t1433 (=> @t1431 (=> @t1430 (=> @t1429 (=> @t1428 (=> @t1426 (=> @t1424 (=> @t1421 (=> @t1418 (=> @t1415 (=> @t1413 (=> @t1412 (=> @t1410 (=> @t1409 (=> @t1406 (=> @t1404 (=> @t1401 (=> @t1400 (=> @t1399 (=> @t1331 (=> @t1398 (=> @t1397 (=> @t1397 (=> @t1394 (=> @t1392 (=> @t1390 (=> @t1389 (=> @t1385 (=> @t1384 (=> @t1382 (=> @t1381 (=> @t1380 (=> @t1377 (=> @t1374 (=> @t1372 (=> @t1368 (=> @t1366 (=> @t1360 (=> @t1359 (=> @t1358 (=> @t1357 (=> @t1355 (=> @t1354 (=> @t1353 (=> @t1352 (=> @t1349 (=> @t1347 (=> @t1343 (=> @t1340 (=> @t1339 (=> @t1338 (=> @t1336 (=> @t1331 (=> @t1329 (=> @t1327 (=> @t1324 (=> @t1322 (=> @t1320 (=> @t1318 (=> @t1315 (=> @t1313 (=> @t1310 (=> @t1304 (=> @t1298 (=> @t1292 (=> @t1286 (=> @t1277 (=> @t1271 (=> @t1264 (=> @t1263 (=> @t1255 (=> @t1253 (=> @t1249 (=> @t1228 (=> @t1247 (=> @t1240 (=> @t1228 (=> @t1207 (=> @t1206 (=> @t1204 (=> @t1196 (=> @t1189 (=> @t1186 (=> @t1184 (=> @t1183 (=> @t1182 (=> @t1180 (=> @t1177 (=> @t1173 (=> @t1172 (=> @t1161 (=> @t1158 (=> @t1148 (=> @t1145 (=> @t1142 (=> @t1140 (=> @t1139 @t1135))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.02/1.25 (define @t1490 () (tptp.prop2set true)) % 1.02/1.25 (define @t1491 () (tptp.set2prop @t1490)) % 1.02/1.25 (define @t1492 () (=> @t1491 @t1489)) % 1.02/1.25 (define @t1493 () (tptp.in tptp.emptyset @t1490)) % 1.02/1.25 (define @t1494 () (=> @t1493 @t1492)) % 1.02/1.25 (define @t1495 () (tptp.in @t4 tptp.emptyset)) % 1.02/1.25 (define @t1496 () (not @t1495)) % 1.02/1.25 (define @t1497 () (forall @t312 (or @t1496 @t1220))) % 1.02/1.25 (define @t1498 () (=> @t1497 @t1494)) % 1.02/1.25 (define @t1499 () (@var "BOUND_VARIABLE_9946" $$unsorted)) % 1.02/1.25 (define @t1500 () (not (_ @t143 @t1499))) % 1.02/1.25 (define @t1501 () (not (tptp.in @t1499 @t2))) % 1.02/1.25 (define @t1502 () (not (= tptp.emptyset @t1211))) % 1.02/1.25 (define @t1503 () (or @t1502 @t1501 @t1500)) % 1.02/1.25 (define @t1504 () (@list @t2 @t143 @t1499)) % 1.02/1.25 (define @t1505 () (forall @t1504 @t1503)) % 1.02/1.25 (define @t1506 () (=> @t1505 @t1498)) % 1.02/1.25 (define @t1507 () (=> @t1331 @t1506)) % 1.02/1.25 (define @t1508 () (tptp.in @t4 @t1168)) % 1.02/1.25 (define @t1509 () (forall @t135 @t1508)) % 1.02/1.25 (define @t1510 () (=> @t1509 @t1507)) % 1.02/1.25 (define @t1511 () (=> @t1313 @t1510)) % 1.02/1.25 (define @t1512 () (tptp.in @t19 @t1156)) % 1.02/1.25 (define @t1513 () (tptp.in @t4 @t1167)) % 1.02/1.25 (define @t1514 () (not @t1513)) % 1.02/1.25 (define @t1515 () (forall @t135 (or @t1514 @t1512))) % 1.02/1.25 (define @t1516 () (=> @t1515 @t1511)) % 1.02/1.25 (define @t1517 () (tptp.in @t19 @t1167)) % 1.02/1.25 (define @t1518 () (forall @t70 @t1517)) % 1.02/1.25 (define @t1519 () (=> @t1518 @t1516)) % 1.02/1.25 (define @t1520 () (forall @t135 (or @t129 (not @t1512)))) % 1.02/1.25 (define @t1521 () (=> @t1520 @t1519)) % 1.02/1.25 (define @t1522 () (forall @t135 (or @t1514 @t129))) % 1.02/1.25 (define @t1523 () (=> @t1522 @t1521)) % 1.02/1.25 (define @t1524 () (forall @t9 @t1095)) % 1.02/1.25 (define @t1525 () (not @t1524)) % 1.02/1.25 (define @t1526 () (forall @t64 (or @t196 @t1525))) % 1.02/1.25 (define @t1527 () (=> @t1526 @t1523)) % 1.02/1.25 (define @t1528 () (@var "BOUND_VARIABLE_9832" $$unsorted)) % 1.02/1.25 (define @t1529 () (not (_ @t143 @t1528))) % 1.02/1.25 (define @t1530 () (forall @t70 (= @t129 @t1234))) % 1.02/1.25 (define @t1531 () (forall @t9 (not @t1530))) % 1.02/1.25 (define @t1532 () (not @t1531)) % 1.02/1.25 (define @t1533 () (@list @t143 @t1528)) % 1.02/1.25 (define @t1534 () (forall @t1533 (or @t1532 @t1529 (not (forall @t70 (or @t1235 (= @t19 @t1528))))))) % 1.02/1.25 (define @t1535 () (=> @t1534 @t1527)) % 1.02/1.25 (define @t1536 () (tptp.powerset @t1260)) % 1.02/1.25 (define @t1537 () (tptp.in @t4 @t1536)) % 1.02/1.25 (define @t1538 () (forall @t46 (or @t1095 @t1537))) % 1.02/1.25 (define @t1539 () (=> @t1538 @t1535)) % 1.02/1.25 (define @t1540 () (tptp.in @t1 @t2)) % 1.02/1.25 (define @t1541 () (not @t1540)) % 1.02/1.25 (define @t1542 () (forall @t41 (or @t1337 @t1541))) % 1.02/1.25 (define @t1543 () (not @t1542)) % 1.02/1.25 (define @t1544 () (forall @t46 (or @t1262 @t1543))) % 1.02/1.25 (define @t1545 () (=> @t1544 @t1539)) % 1.02/1.25 (define @t1546 () (forall @t249 (or @t1337 @t1541 @t1261))) % 1.02/1.25 (define @t1547 () (=> @t1546 @t1545)) % 1.02/1.25 (define @t1548 () (forall @t245 (or @t1408 @t1337 @t1067))) % 1.02/1.25 (define @t1549 () (=> @t1548 @t1547)) % 1.02/1.25 (define @t1550 () (tptp.in tptp.emptyset @t1316)) % 1.02/1.25 (define @t1551 () (forall @t64 @t1550)) % 1.02/1.25 (define @t1552 () (=> @t1551 @t1549)) % 1.02/1.25 (define @t1553 () (=> @t1551 @t1552)) % 1.02/1.25 (define @t1554 () (forall @t9 (or @t1337 @t1067))) % 1.02/1.25 (define @t1555 () (not @t1554)) % 1.02/1.25 (define @t1556 () (forall @t12 (or @t1555 @t1407))) % 1.02/1.25 (define @t1557 () (=> @t1556 @t1553)) % 1.02/1.25 (define @t1558 () (@var "BOUND_VARIABLE_35614" $$unsorted)) % 1.02/1.25 (define @t1559 () (lambda (@list @t1558) true)) % 1.02/1.25 (define @t1560 () (tptp.dsetconstr @t2 @t1559)) % 1.02/1.25 (define @t1561 () (forall @t64 (= @t2 @t1560))) % 1.02/1.25 (define @t1562 () (=> @t1561 @t1557)) % 1.02/1.25 (define @t1563 () (tptp.in @t19 @t1419)) % 1.02/1.25 (define @t1564 () (forall @t28 (or (not @t1563) @t129 @t1236))) % 1.02/1.25 (define @t1565 () (=> @t1564 @t1562)) % 1.02/1.25 (define @t1566 () (=> @t1564 @t1565)) % 1.02/1.25 (define @t1567 () (forall @t28 (or @t1237 @t1563))) % 1.02/1.25 (define @t1568 () (=> @t1567 @t1566)) % 1.02/1.25 (define @t1569 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.02/1.25 (define @t1570 () (tptp.in tptp.emptyset @t1569)) % 1.02/1.25 (define @t1571 () (=> @t221 @t1568)) % 1.02/1.25 (define @t1572 () (tptp.setadjoin @t4 @t19)) % 1.02/1.25 (define @t1573 () (tptp.in @t4 @t1572)) % 1.02/1.25 (define @t1574 () (forall @t135 @t1573)) % 1.02/1.25 (define @t1575 () (=> @t1574 @t1571)) % 1.02/1.25 (define @t1576 () (@var "BOUND_VARIABLE_9673" $$unsorted)) % 1.02/1.25 (define @t1577 () (not (tptp.in @t1576 tptp.emptyset))) % 1.02/1.25 (define @t1578 () (@list @t1576)) % 1.02/1.25 (define @t1579 () (forall @t1578 @t1577)) % 1.02/1.25 (define @t1580 () (=> @t1579 @t1575)) % 1.02/1.25 (define @t1581 () (forall @t159 (or @t1095 @t1221 @t1502))) % 1.02/1.25 (define @t1582 () (=> @t1581 @t1580)) % 1.02/1.25 (define @t1583 () (=> @t1526 @t1582)) % 1.02/1.25 (define @t1584 () (forall @t159 (or @t1095 (= @t1220 @t1212)))) % 1.02/1.25 (define @t1585 () (=> @t1584 @t1583)) % 1.02/1.25 (define @t1586 () (forall @t64 (or @t1525 @t196))) % 1.02/1.25 (define @t1587 () (=> @t1586 @t1585)) % 1.02/1.25 (define @t1588 () (=> @t1586 @t1587)) % 1.02/1.25 (define @t1589 () (or @t1435 @t1555 @t3)) % 1.02/1.25 (define @t1590 () (forall @t12 @t1589)) % 1.02/1.25 (define @t1591 () (=> @t1590 @t1588)) % 1.02/1.25 (define @t1592 () (@var "BOUND_VARIABLE_9570" $$unsorted)) % 1.02/1.25 (define @t1593 () (not (_ @t143 @t1592))) % 1.02/1.25 (define @t1594 () (forall @t9 @t1221)) % 1.02/1.25 (define @t1595 () (not @t1594)) % 1.02/1.25 (define @t1596 () (@list @t143 @t1592)) % 1.02/1.25 (define @t1597 () (forall @t1596 (or @t1595 @t1593 (not (forall @t70 (or @t1235 (= @t19 @t1592))))))) % 1.02/1.25 (define @t1598 () (=> @t1597 @t1591)) % 1.02/1.25 (define @t1599 () (forall @t9 @t1496)) % 1.02/1.25 (define @t1600 () (=> @t1599 @t1598)) % 1.02/1.25 (define @t1601 () (=> @t1599 @t1600)) % 1.02/1.25 (define @t1602 () (=> @t1599 @t1601)) % 1.02/1.25 (define @t1603 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.02/1.25 (define @t1604 () (forall @t9 @t1603)) % 1.02/1.25 (define @t1605 () (=> @t1604 @t1602)) % 1.02/1.25 (define @t1606 () (forall @t159 (or @t1213 @t1220))) % 1.02/1.25 (define @t1607 () (=> @t1606 @t1605)) % 1.02/1.25 (define @t1608 () (forall @t159 (or @t1213 @t1067))) % 1.02/1.25 (define @t1609 () (=> @t1608 @t1607)) % 1.02/1.25 (define @t1610 () (forall @t159 (or @t1095 @t1221 @t1212))) % 1.02/1.25 (define @t1611 () (=> @t1610 @t1609)) % 1.02/1.25 (define @t1612 () (@var "BOUND_VARIABLE_9472" $$unsorted)) % 1.02/1.25 (define @t1613 () (not (_ @t143 @t1612))) % 1.02/1.25 (define @t1614 () (_ @t143 @t1454)) % 1.02/1.25 (define @t1615 () (@list @t143 @t1612)) % 1.02/1.25 (define @t1616 () (forall @t1615 (or @t1614 @t1613 (not (forall @t70 (or @t1235 (= @t19 @t1612))))))) % 1.02/1.25 (define @t1617 () (=> @t1616 @t1611)) % 1.02/1.25 (define @t1618 () (@var "BOUND_VARIABLE_9392" $$unsorted)) % 1.02/1.25 (define @t1619 () (tptp.in @t1618 @t95)) % 1.02/1.25 (define @t1620 () (not (tptp.in @t1618 @t93))) % 1.02/1.25 (define @t1621 () (tptp.in @t4 @t93)) % 1.02/1.25 (define @t1622 () (tptp.in @t93 @t1)) % 1.02/1.25 (define @t1623 () (not @t1622)) % 1.02/1.25 (define @t1624 () (or @t1623 @t1621 @t1620 @t1619)) % 1.02/1.25 (define @t1625 () (@list @t93 @t1618)) % 1.02/1.25 (define @t1626 () (forall @t1625 @t1624)) % 1.02/1.25 (define @t1627 () (not @t1626)) % 1.02/1.25 (define @t1628 () (tptp.in @t19 @t104)) % 1.02/1.25 (define @t1629 () (tptp.in @t19 @t95)) % 1.02/1.25 (define @t1630 () (forall @t70 (or (not @t1629) (not @t1628)))) % 1.02/1.25 (define @t1631 () (not @t1630)) % 1.02/1.25 (define @t1632 () (tptp.in @t4 @t104)) % 1.02/1.25 (define @t1633 () (not @t1632)) % 1.02/1.25 (define @t1634 () (tptp.in @t95 @t1)) % 1.02/1.25 (define @t1635 () (not @t1634)) % 1.02/1.25 (define @t1636 () (not (forall @t112 (or @t1635 @t1633 @t1631 @t1627)))) % 1.02/1.25 (define @t1637 () (@var "BOUND_VARIABLE_9421" $$unsorted)) % 1.02/1.25 (define @t1638 () (not (tptp.in @t1637 @t104))) % 1.02/1.25 (define @t1639 () (forall @t9 (or @t1633 @t1067))) % 1.02/1.25 (define @t1640 () (not @t1639)) % 1.02/1.25 (define @t1641 () (or @t1640 @t1638 @t1636)) % 1.02/1.25 (define @t1642 () (forall (@list @t104 @t1637) @t1641)) % 1.02/1.25 (define @t1643 () (not @t1642)) % 1.02/1.25 (define @t1644 () (@var "BOUND_VARIABLE_9344" $$unsorted)) % 1.02/1.25 (define @t1645 () (tptp.in @t1644 @t104)) % 1.02/1.25 (define @t1646 () (not (tptp.in @t1644 @t95))) % 1.02/1.25 (define @t1647 () (@var "BOUND_VARIABLE_9338" $$unsorted)) % 1.02/1.25 (define @t1648 () (tptp.in @t1647 @t95)) % 1.02/1.25 (define @t1649 () (not (tptp.in @t1647 @t104))) % 1.02/1.25 (define @t1650 () (tptp.in @t104 @t1)) % 1.02/1.25 (define @t1651 () (not @t1650)) % 1.02/1.25 (define @t1652 () (or @t1651 @t1635 @t1649 @t1648 @t1646 @t1645)) % 1.02/1.25 (define @t1653 () (@list @t104 @t95 @t1647 @t1644)) % 1.02/1.25 (define @t1654 () (forall @t1653 @t1652)) % 1.02/1.25 (define @t1655 () (not @t1654)) % 1.02/1.25 (define @t1656 () (forall @t118 (or @t1651 (= @t1632 @t1628)))) % 1.02/1.25 (define @t1657 () (not @t1656)) % 1.02/1.25 (define @t1658 () (forall @t135 (or @t1095 @t1237 @t1657 @t129))) % 1.02/1.25 (define @t1659 () (not @t1658)) % 1.02/1.25 (define @t1660 () (@var "BOUND_VARIABLE_9287" $$unsorted)) % 1.02/1.25 (define @t1661 () (tptp.in @t1660 @t2)) % 1.02/1.25 (define @t1662 () (not (tptp.in @t1660 @t104))) % 1.02/1.25 (define @t1663 () (or @t1651 @t1662 @t1661)) % 1.02/1.25 (define @t1664 () (@list @t104 @t1660)) % 1.02/1.25 (define @t1665 () (forall @t1664 @t1663)) % 1.02/1.25 (define @t1666 () (not @t1665)) % 1.02/1.25 (define @t1667 () (or @t1666 @t1659 @t1655 @t1643)) % 1.02/1.25 (define @t1668 () (forall @t64 (not (forall @t41 @t1667)))) % 1.02/1.25 (define @t1669 () (=> @t1668 @t1617)) % 1.02/1.25 (define @t1670 () (forall @t9 (or @t1337 @t1095))) % 1.02/1.25 (define @t1671 () (not @t1670)) % 1.02/1.25 (define @t1672 () (not (forall @t41 (or @t1541 @t1671)))) % 1.02/1.25 (define @t1673 () (@var "BOUND_VARIABLE_9262" $$unsorted)) % 1.02/1.25 (define @t1674 () (not (tptp.in @t1673 @t2))) % 1.02/1.25 (define @t1675 () (or @t1674 @t1672)) % 1.02/1.25 (define @t1676 () (forall (@list @t2 @t1673) @t1675)) % 1.02/1.25 (define @t1677 () (=> @t1676 @t1669)) % 1.02/1.25 (define @t1678 () (_ @t67 @t19 @t4)) % 1.02/1.25 (define @t1679 () (not (forall @t70 (or @t1237 (not @t1678))))) % 1.02/1.25 (define @t1680 () (forall @t9 (= @t1335 @t1679))) % 1.02/1.25 (define @t1681 () (not (forall @t41 (not @t1680)))) % 1.02/1.25 (define @t1682 () (@var "BOUND_VARIABLE_9155" $$unsorted)) % 1.02/1.25 (define @t1683 () (= @t19 @t1682)) % 1.02/1.25 (define @t1684 () (_ @t67 @t4 @t19)) % 1.02/1.25 (define @t1685 () (not @t1684)) % 1.02/1.25 (define @t1686 () (not (forall @t70 (or @t1685 @t1683)))) % 1.02/1.25 (define @t1687 () (_ @t67 @t4 @t1682)) % 1.02/1.25 (define @t1688 () (@list @t1682)) % 1.02/1.25 (define @t1689 () (not (forall @t1688 (or (not @t1687) @t1686)))) % 1.02/1.25 (define @t1690 () (forall @t9 (or @t1095 @t1689))) % 1.02/1.25 (define @t1691 () (forall @t81 (or (not @t1690) @t1681))) % 1.02/1.25 (define @t1692 () (=> @t1691 @t1677)) % 1.02/1.25 (define @t1693 () (@var "BOUND_VARIABLE_9136" $$unsorted)) % 1.02/1.25 (define @t1694 () (tptp.in @t1693 @t2)) % 1.02/1.25 (define @t1695 () (not (tptp.in @t1693 tptp.omega))) % 1.02/1.25 (define @t1696 () (tptp.setadjoin @t4 @t4)) % 1.02/1.25 (define @t1697 () (tptp.in @t1696 @t2)) % 1.02/1.25 (define @t1698 () (tptp.in @t4 tptp.omega)) % 1.02/1.25 (define @t1699 () (not @t1698)) % 1.02/1.25 (define @t1700 () (forall @t9 (or @t1699 @t1095 @t1697))) % 1.02/1.25 (define @t1701 () (not @t1700)) % 1.02/1.25 (define @t1702 () (tptp.in tptp.emptyset @t2)) % 1.02/1.25 (define @t1703 () (not @t1702)) % 1.02/1.25 (define @t1704 () (or @t1703 @t1701 @t1695 @t1694)) % 1.02/1.25 (define @t1705 () (@list @t2 @t1693)) % 1.02/1.25 (define @t1706 () (forall @t1705 @t1704)) % 1.02/1.25 (define @t1707 () (=> @t1706 @t1692)) % 1.02/1.25 (define @t1708 () (tptp.in @t1696 tptp.omega)) % 1.02/1.25 (define @t1709 () (forall @t9 (or @t1699 @t1708))) % 1.02/1.25 (define @t1710 () (=> @t1709 @t1707)) % 1.02/1.25 (define @t1711 () (tptp.in tptp.emptyset tptp.omega)) % 1.02/1.25 (define @t1712 () (=> @t50 @t1710)) % 1.02/1.25 (define @t1713 () (forall @t46 (= @t1543 @t1261))) % 1.02/1.25 (define @t1714 () (=> @t1713 @t1712)) % 1.02/1.25 (define @t1715 () (forall @t12 (= @t1554 @t1407))) % 1.02/1.25 (define @t1716 () (=> @t1715 @t1714)) % 1.02/1.25 (define @t1717 () (or @t129 @t1236)) % 1.02/1.25 (define @t1718 () (forall @t28 (= @t1563 @t1717))) % 1.02/1.25 (define @t1719 () (=> @t1718 @t1716)) % 1.02/1.25 (define @t1720 () (=> @t1599 @t1719)) % 1.02/1.25 (define @t1721 () (forall @t9 (= @t1067 @t1335))) % 1.02/1.25 (define @t1722 () (forall @t12 (or (not @t1721) @t3))) % 1.02/1.25 (define @t1723 () (=> @t1722 @t1720)) % 1.02/1.25 (define @t1724 () (=> @t1139 (=> true @t1135))) % 1.02/1.25 (define @t1725 () (=> @t1140 @t1724)) % 1.02/1.25 (define @t1726 () (=> @t1142 @t1725)) % 1.02/1.25 (define @t1727 () (=> @t1145 @t1726)) % 1.02/1.25 (define @t1728 () (=> @t1148 @t1727)) % 1.02/1.25 (define @t1729 () (=> @t1158 @t1728)) % 1.02/1.25 (define @t1730 () (=> @t1161 @t1729)) % 1.02/1.25 (define @t1731 () (=> @t1172 @t1730)) % 1.02/1.25 (define @t1732 () (=> @t1173 @t1731)) % 1.02/1.25 (define @t1733 () (=> @t1177 @t1732)) % 1.02/1.25 (define @t1734 () (=> @t1180 @t1733)) % 1.02/1.25 (define @t1735 () (=> @t1182 @t1734)) % 1.02/1.25 (define @t1736 () (=> @t1183 @t1735)) % 1.02/1.25 (define @t1737 () (=> @t1184 @t1736)) % 1.02/1.25 (define @t1738 () (=> @t1186 @t1737)) % 1.02/1.25 (define @t1739 () (=> @t1189 @t1738)) % 1.02/1.25 (define @t1740 () (=> @t1196 @t1739)) % 1.02/1.25 (define @t1741 () (=> @t1204 @t1740)) % 1.02/1.25 (define @t1742 () (=> @t1206 @t1741)) % 1.02/1.25 (define @t1743 () (=> @t1207 @t1742)) % 1.02/1.25 (define @t1744 () (=> @t1228 @t1743)) % 1.02/1.25 (define @t1745 () (=> @t1240 @t1744)) % 1.02/1.25 (define @t1746 () (=> @t1247 @t1745)) % 1.02/1.25 (define @t1747 () (=> @t1228 @t1746)) % 1.02/1.25 (define @t1748 () (=> @t1249 @t1747)) % 1.02/1.25 (define @t1749 () (=> @t1253 @t1748)) % 1.02/1.25 (define @t1750 () (=> @t1255 @t1749)) % 1.02/1.25 (define @t1751 () (=> @t1263 @t1750)) % 1.02/1.25 (define @t1752 () (=> @t1264 @t1751)) % 1.02/1.25 (define @t1753 () (=> @t1271 @t1752)) % 1.02/1.25 (define @t1754 () (=> @t1277 @t1753)) % 1.02/1.25 (define @t1755 () (=> @t1286 @t1754)) % 1.02/1.25 (define @t1756 () (=> @t1292 @t1755)) % 1.02/1.25 (define @t1757 () (=> @t1298 @t1756)) % 1.02/1.25 (define @t1758 () (=> @t1304 @t1757)) % 1.02/1.25 (define @t1759 () (=> @t1310 @t1758)) % 1.02/1.25 (define @t1760 () (=> @t1313 @t1759)) % 1.02/1.25 (define @t1761 () (=> @t1315 @t1760)) % 1.02/1.25 (define @t1762 () (=> @t1318 @t1761)) % 1.02/1.25 (define @t1763 () (=> @t1320 @t1762)) % 1.02/1.25 (define @t1764 () (=> @t1322 @t1763)) % 1.02/1.25 (define @t1765 () (=> @t1324 @t1764)) % 1.02/1.25 (define @t1766 () (=> @t1327 @t1765)) % 1.02/1.25 (define @t1767 () (=> @t1329 @t1766)) % 1.02/1.25 (define @t1768 () (=> @t1331 @t1767)) % 1.02/1.25 (define @t1769 () (=> @t1336 @t1768)) % 1.02/1.25 (define @t1770 () (=> @t1338 @t1769)) % 1.02/1.25 (define @t1771 () (=> @t1339 @t1770)) % 1.02/1.25 (define @t1772 () (=> @t1340 @t1771)) % 1.02/1.25 (define @t1773 () (=> @t1343 @t1772)) % 1.02/1.25 (define @t1774 () (=> @t1347 @t1773)) % 1.02/1.25 (define @t1775 () (=> @t1349 @t1774)) % 1.02/1.25 (define @t1776 () (=> @t1352 @t1775)) % 1.02/1.25 (define @t1777 () (=> @t1353 @t1776)) % 1.02/1.25 (define @t1778 () (=> @t1354 @t1777)) % 1.02/1.25 (define @t1779 () (=> @t1355 @t1778)) % 1.02/1.25 (define @t1780 () (=> @t1357 @t1779)) % 1.02/1.25 (define @t1781 () (=> @t1358 @t1780)) % 1.02/1.25 (define @t1782 () (=> @t1359 @t1781)) % 1.02/1.25 (define @t1783 () (=> @t1360 @t1782)) % 1.02/1.25 (define @t1784 () (=> @t1366 @t1783)) % 1.02/1.25 (define @t1785 () (=> @t1368 @t1784)) % 1.02/1.25 (define @t1786 () (=> @t1372 @t1785)) % 1.02/1.25 (define @t1787 () (=> @t1374 @t1786)) % 1.02/1.25 (define @t1788 () (=> @t1377 @t1787)) % 1.02/1.25 (define @t1789 () (=> @t1380 @t1788)) % 1.02/1.25 (define @t1790 () (=> @t1381 @t1789)) % 1.02/1.25 (define @t1791 () (=> @t1382 @t1790)) % 1.02/1.25 (define @t1792 () (=> @t1384 @t1791)) % 1.02/1.25 (define @t1793 () (=> @t1385 @t1792)) % 1.02/1.25 (define @t1794 () (=> @t1389 @t1793)) % 1.02/1.25 (define @t1795 () (=> @t1390 @t1794)) % 1.02/1.25 (define @t1796 () (=> @t1392 @t1795)) % 1.02/1.25 (define @t1797 () (=> @t1394 @t1796)) % 1.02/1.25 (define @t1798 () (=> @t1397 @t1797)) % 1.02/1.25 (define @t1799 () (=> @t1397 @t1798)) % 1.02/1.25 (define @t1800 () (=> @t1398 @t1799)) % 1.02/1.25 (define @t1801 () (=> @t1331 @t1800)) % 1.02/1.25 (define @t1802 () (=> @t1399 @t1801)) % 1.02/1.25 (define @t1803 () (=> @t1400 @t1802)) % 1.02/1.25 (define @t1804 () (=> @t1401 @t1803)) % 1.02/1.25 (define @t1805 () (=> @t1404 @t1804)) % 1.02/1.25 (define @t1806 () (=> @t1406 @t1805)) % 1.02/1.25 (define @t1807 () (=> @t1409 @t1806)) % 1.02/1.25 (define @t1808 () (=> @t1410 @t1807)) % 1.02/1.25 (define @t1809 () (=> @t1412 @t1808)) % 1.02/1.25 (define @t1810 () (=> @t1413 @t1809)) % 1.02/1.25 (define @t1811 () (=> @t1415 @t1810)) % 1.02/1.25 (define @t1812 () (=> @t1418 @t1811)) % 1.02/1.25 (define @t1813 () (=> @t1421 @t1812)) % 1.02/1.25 (define @t1814 () (=> @t1424 @t1813)) % 1.02/1.25 (define @t1815 () (=> @t1426 @t1814)) % 1.02/1.25 (define @t1816 () (=> @t1428 (=> true @t1815))) % 1.02/1.25 (define @t1817 () (=> @t1429 @t1816)) % 1.02/1.25 (define @t1818 () (=> @t1430 @t1817)) % 1.02/1.25 (define @t1819 () (=> @t1431 @t1818)) % 1.02/1.25 (define @t1820 () (=> @t1433 @t1819)) % 1.02/1.25 (define @t1821 () (=> @t1436 @t1820)) % 1.02/1.25 (define @t1822 () (=> @t1428 @t1821)) % 1.02/1.25 (define @t1823 () (=> @t1428 @t1822)) % 1.02/1.25 (define @t1824 () (=> @t1436 @t1823)) % 1.02/1.25 (define @t1825 () (=> @t1447 @t1824)) % 1.02/1.25 (define @t1826 () (=> @t1460 @t1825)) % 1.02/1.25 (define @t1827 () (=> @t1469 @t1826)) % 1.02/1.25 (define @t1828 () (=> true (=> true @t1827))) % 1.02/1.25 (define @t1829 () (=> true @t1828)) % 1.02/1.25 (define @t1830 () (=> true @t1829)) % 1.02/1.25 (define @t1831 () (=> true @t1830)) % 1.02/1.25 (define @t1832 () (=> @t1479 @t1831)) % 1.02/1.25 (define @t1833 () (=> @t1469 @t1832)) % 1.02/1.25 (define @t1834 () (=> true (=> true @t1833))) % 1.02/1.25 (define @t1835 () (=> @t1482 @t1834)) % 1.02/1.25 (define @t1836 () (=> @t1488 @t1835)) % 1.02/1.25 (define @t1837 () (=> true (=> true @t1836))) % 1.02/1.25 (define @t1838 () (=> true @t1837)) % 1.02/1.25 (define @t1839 () (=> @t1491 @t1838)) % 1.02/1.25 (define @t1840 () (=> @t1493 @t1839)) % 1.02/1.25 (define @t1841 () (=> true (=> true @t1840))) % 1.02/1.25 (define @t1842 () (=> true @t1841)) % 1.02/1.25 (define @t1843 () (=> true @t1842)) % 1.02/1.25 (define @t1844 () (=> @t1497 @t1843)) % 1.02/1.25 (define @t1845 () (=> @t1505 @t1844)) % 1.02/1.25 (define @t1846 () (=> @t1331 @t1845)) % 1.02/1.25 (define @t1847 () (=> @t1509 @t1846)) % 1.02/1.25 (define @t1848 () (=> @t1313 @t1847)) % 1.02/1.25 (define @t1849 () (=> @t1515 @t1848)) % 1.02/1.25 (define @t1850 () (=> @t1518 @t1849)) % 1.02/1.25 (define @t1851 () (=> @t1520 @t1850)) % 1.02/1.25 (define @t1852 () (=> @t1522 @t1851)) % 1.02/1.25 (define @t1853 () (=> @t1526 @t1852)) % 1.02/1.25 (define @t1854 () (=> @t1534 @t1853)) % 1.02/1.25 (define @t1855 () (=> @t1538 @t1854)) % 1.02/1.25 (define @t1856 () (=> @t1544 @t1855)) % 1.02/1.25 (define @t1857 () (=> @t1546 @t1856)) % 1.02/1.25 (define @t1858 () (=> @t1548 @t1857)) % 1.02/1.25 (define @t1859 () (=> @t1551 @t1858)) % 1.02/1.25 (define @t1860 () (=> @t1551 @t1859)) % 1.02/1.25 (define @t1861 () (=> @t1556 @t1860)) % 1.02/1.25 (define @t1862 () (=> @t1561 @t1861)) % 1.02/1.25 (define @t1863 () (=> @t1564 @t1862)) % 1.02/1.25 (define @t1864 () (=> @t1564 @t1863)) % 1.02/1.25 (define @t1865 () (=> @t1567 @t1864)) % 1.02/1.25 (define @t1866 () (=> @t221 @t1865)) % 1.02/1.25 (define @t1867 () (=> @t1574 @t1866)) % 1.02/1.25 (define @t1868 () (=> @t1579 @t1867)) % 1.02/1.25 (define @t1869 () (=> @t1581 @t1868)) % 1.02/1.25 (define @t1870 () (=> @t1526 @t1869)) % 1.02/1.25 (define @t1871 () (=> @t1584 @t1870)) % 1.02/1.25 (define @t1872 () (=> @t1586 @t1871)) % 1.02/1.25 (define @t1873 () (=> @t1586 @t1872)) % 1.02/1.25 (define @t1874 () (=> @t1590 @t1873)) % 1.02/1.25 (define @t1875 () (=> @t1597 @t1874)) % 1.02/1.25 (define @t1876 () (=> @t1599 @t1875)) % 1.02/1.25 (define @t1877 () (=> @t1599 @t1876)) % 1.02/1.25 (define @t1878 () (=> @t1599 @t1877)) % 1.02/1.25 (define @t1879 () (=> @t1604 @t1878)) % 1.02/1.25 (define @t1880 () (=> @t1606 (=> true @t1879))) % 1.02/1.25 (define @t1881 () (=> @t1608 @t1880)) % 1.02/1.25 (define @t1882 () (=> @t1610 @t1881)) % 1.02/1.25 (define @t1883 () (=> @t1616 @t1882)) % 1.02/1.25 (define @t1884 () (=> @t1668 @t1883)) % 1.02/1.25 (define @t1885 () (=> @t1676 @t1884)) % 1.02/1.25 (define @t1886 () (=> @t1691 @t1885)) % 1.02/1.25 (define @t1887 () (=> @t1706 @t1886)) % 1.02/1.25 (define @t1888 () (=> @t1709 @t1887)) % 1.02/1.25 (define @t1889 () (=> @t50 @t1888)) % 1.02/1.25 (define @t1890 () (=> @t1713 @t1889)) % 1.02/1.25 (define @t1891 () (=> @t1715 @t1890)) % 1.02/1.25 (define @t1892 () (=> @t1718 @t1891)) % 1.02/1.25 (define @t1893 () (=> @t1599 @t1892)) % 1.02/1.25 (define @t1894 () (=> @t1722 @t1893)) % 1.02/1.25 (define @t1895 () (or @t1094 @t1093 @t1090)) % 1.02/1.25 (define @t1896 () (or @t1095 @t1895)) % 1.02/1.25 (define @t1897 () (forall @t1097 @t1896)) % 1.02/1.25 (define @t1898 () (@list @t1089)) % 1.02/1.25 (define @t1899 () (forall @t1898 @t1896)) % 1.02/1.25 (define @t1900 () (forall @t1898 @t1895)) % 1.02/1.25 (define @t1901 () (@list @t19)) % 1.02/1.25 (define @t1902 () (or @t1095 @t1900)) % 1.02/1.25 (define @t1903 () (not @t1136)) % 1.02/1.25 (define @t1904 () (forall @t70 (or @t1903 (not (tptp.in @t1086 @t1092)) @t1684))) % 1.02/1.25 (define @t1905 () (or @t197 @t1904)) % 1.02/1.25 (define @t1906 () (@list @t4)) % 1.02/1.25 (define @t1907 () (tptp.in @t1086 @t1108)) % 1.02/1.25 (define @t1908 () (not @t1907)) % 1.02/1.25 (define @t1909 () (or @t1903 @t1908 @t1684)) % 1.02/1.25 (define @t1910 () (forall @t70 @t1909)) % 1.02/1.25 (define @t1911 () (=> @t7 @t1910)) % 1.02/1.25 (define @t1912 () (_ @t75 @t1068)) % 1.02/1.25 (define @t1913 () (not @t1912)) % 1.02/1.25 (define @t1914 () (not (_ (_ tptp.in @t1068) @t1))) % 1.02/1.25 (define @t1915 () (lambda @t751 (not (forall @t1104 (or @t197 @t1914 @t1913 (not (= @t381 (_ @t629 @t1068)))))))) % 1.02/1.25 (define @t1916 () (_ @t1065 @t1915)) % 1.02/1.25 (define @t1917 () (_ tptp.in @t1086)) % 1.02/1.25 (define @t1918 () (_ tptp.dsetconstr @t1084)) % 1.02/1.25 (define @t1919 () (_ @t1065 @t1107)) % 1.02/1.25 (define @t1920 () (_ @t666 @t1919)) % 1.02/1.25 (define @t1921 () (not @t1920)) % 1.02/1.25 (define @t1922 () (not @t352)) % 1.02/1.25 (define @t1923 () (or @t1922 @t1921 @t76)) % 1.02/1.25 (define @t1924 () (=> @t1920 @t76)) % 1.02/1.25 (define @t1925 () (or @t1095 @t1076 @t1913 @t1100)) % 1.02/1.25 (define @t1926 () (_ @t839 @t4 @t1068)) % 1.02/1.25 (define @t1927 () (not @t1926)) % 1.02/1.25 (define @t1928 () (or @t1095 @t1076 @t1927 @t1100)) % 1.02/1.25 (define @t1929 () (forall @t1104 @t1928)) % 1.02/1.25 (define @t1930 () (not @t1929)) % 1.02/1.25 (define @t1931 () (lambda @t751 @t1930)) % 1.02/1.25 (define @t1932 () (lambda (@list @t67) @t1919)) % 1.02/1.25 (define @t1933 () (lambda (@list @t1 @t67) @t1919)) % 1.02/1.25 (define @t1934 () (_ (lambda @t851 @t1919) @t2)) % 1.02/1.25 (define @t1935 () (_ @t1934 @t1)) % 1.02/1.25 (define @t1936 () (_ @t666 (_ @t1935 @t839))) % 1.02/1.25 (define @t1937 () (=> @t1936 @t76)) % 1.02/1.25 (define @t1938 () (=> @t352 @t1937)) % 1.02/1.25 (define @t1939 () (forall @t70 @t1938)) % 1.02/1.25 (define @t1940 () (=> @t7 @t1939)) % 1.02/1.25 (define @t1941 () (forall @t846 @t1940)) % 1.02/1.25 (define @t1942 () (or @t1076 @t1102 @t1100)) % 1.02/1.25 (define @t1943 () (or @t1095 @t1942)) % 1.02/1.25 (define @t1944 () (forall @t1104 @t1943)) % 1.02/1.25 (define @t1945 () (@list @t1068)) % 1.02/1.25 (define @t1946 () (forall @t1945 @t1943)) % 1.02/1.25 (define @t1947 () (forall @t1945 @t1942)) % 1.02/1.25 (define @t1948 () (or @t1095 @t1947)) % 1.02/1.25 (define @t1949 () (not (= @t381 @t1086))) % 1.02/1.25 (define @t1950 () (forall @t70 (or @t1903 @t1685 @t1949))) % 1.02/1.25 (define @t1951 () (or @t197 @t1950)) % 1.02/1.25 (define @t1952 () (not @t1950)) % 1.02/1.25 (define @t1953 () (and @t7 @t1952)) % 1.02/1.25 (define @t1954 () (forall @t9 (not @t1953))) % 1.02/1.25 (define @t1955 () (not @t1954)) % 1.02/1.25 (define @t1956 () (not @t678)) % 1.02/1.25 (define @t1957 () (not @t76)) % 1.02/1.25 (define @t1958 () (or @t1922 @t1957 @t1956)) % 1.02/1.25 (define @t1959 () (forall @t70 (not @t1060))) % 1.02/1.25 (define @t1960 () (not @t1959)) % 1.02/1.25 (define @t1961 () (=> tptp.dpsetconstrERa @t1088)) % 1.02/1.25 (define @t1962 () (_ (_ tptp.subset @t1919) @t672)) % 1.02/1.25 (define @t1963 () (lambda @t118 @t1058)) % 1.02/1.25 (define @t1964 () (_ @t849 @t4 @t1068)) % 1.02/1.25 (define @t1965 () (not @t1964)) % 1.02/1.25 (define @t1966 () (or @t1095 @t1076 @t1965 @t1100)) % 1.02/1.25 (define @t1967 () (forall @t1104 @t1966)) % 1.02/1.25 (define @t1968 () (not @t1967)) % 1.02/1.25 (define @t1969 () (lambda @t751 @t1968)) % 1.02/1.25 (define @t1970 () (lambda (@list @t1 @t104) @t1058)) % 1.02/1.25 (define @t1971 () (_ @t1059 @t2)) % 1.02/1.25 (define @t1972 () (_ @t1935 @t849)) % 1.02/1.25 (define @t1973 () (forall @t851 (_ (_ @t1971 @t1) @t1972))) % 1.02/1.25 (define @t1974 () (=> tptp.setOfPairsIsBReln @t1961)) % 1.02/1.25 (define @t1975 () (forall @t851 (_ (_ tptp.subset @t1972) @t672))) % 1.02/1.25 (define @t1976 () (=> tptp.dpsetconstrSub @t1974)) % 1.02/1.25 (define @t1977 () (or @t1116 @t1115 @t1114)) % 1.02/1.25 (define @t1978 () (or @t1095 @t1977)) % 1.02/1.25 (define @t1979 () (forall @t1118 @t1978)) % 1.02/1.25 (define @t1980 () (@list @t1113)) % 1.02/1.25 (define @t1981 () (forall @t1980 @t1978)) % 1.02/1.25 (define @t1982 () (forall @t1980 @t1977)) % 1.02/1.25 (define @t1983 () (or @t1095 @t1982)) % 1.02/1.25 (define @t1984 () (forall @t70 (or @t1903 @t1685 (tptp.in @t1086 @t1112)))) % 1.02/1.25 (define @t1985 () (or @t197 @t1984)) % 1.02/1.25 (define @t1986 () (or @t1903 @t1685 @t1907)) % 1.02/1.25 (define @t1987 () (forall @t70 @t1986)) % 1.02/1.25 (define @t1988 () (=> @t7 @t1987)) % 1.02/1.25 (define @t1989 () (or @t1922 @t1957 @t1920)) % 1.02/1.25 (define @t1990 () (=> @t76 @t1920)) % 1.02/1.25 (define @t1991 () (=> @t76 @t1936)) % 1.02/1.25 (define @t1992 () (=> @t352 @t1991)) % 1.02/1.25 (define @t1993 () (forall @t70 @t1992)) % 1.02/1.25 (define @t1994 () (=> @t7 @t1993)) % 1.02/1.25 (define @t1995 () (forall @t846 @t1994)) % 1.02/1.25 (define @t1996 () (=> tptp.dpsetconstrI @t1976)) % 1.02/1.25 (define @t1997 () (_ tptp.kpair @t1120)) % 1.02/1.25 (define @t1998 () (= @t381 @t808)) % 1.02/1.25 (define @t1999 () (not @t684)) % 1.02/1.25 (define @t2000 () (or @t1999 @t1998)) % 1.02/1.25 (define @t2001 () (=> tptp.cartprodpairsurjEq @t1996)) % 1.02/1.25 (define @t2002 () (or @t1127 @t1126)) % 1.02/1.25 (define @t2003 () (or @t1095 @t2002)) % 1.02/1.25 (define @t2004 () (forall @t1129 @t2003)) % 1.02/1.25 (define @t2005 () (@list @t1125)) % 1.02/1.25 (define @t2006 () (forall @t2005 @t2003)) % 1.02/1.25 (define @t2007 () (forall @t2005 @t2002)) % 1.02/1.25 (define @t2008 () (or @t1095 @t2007)) % 1.02/1.25 (define @t2009 () (forall @t70 (or @t1903 @t1147))) % 1.02/1.25 (define @t2010 () (or @t197 @t2009)) % 1.02/1.25 (define @t2011 () (= @t19 @t803)) % 1.02/1.25 (define @t2012 () (or @t1922 @t2011)) % 1.02/1.25 (define @t2013 () (=> tptp.cartprodsndpairEq @t2001)) % 1.02/1.25 (define @t2014 () (or @t1132 @t1131)) % 1.02/1.25 (define @t2015 () (or @t1095 @t2014)) % 1.02/1.25 (define @t2016 () (forall @t1134 @t2015)) % 1.02/1.25 (define @t2017 () (@list @t1130)) % 1.02/1.25 (define @t2018 () (forall @t2017 @t2015)) % 1.02/1.25 (define @t2019 () (forall @t2017 @t2014)) % 1.02/1.25 (define @t2020 () (or @t1095 @t2019)) % 1.02/1.25 (define @t2021 () (forall @t70 (or @t1903 @t1188))) % 1.02/1.25 (define @t2022 () (or @t197 @t2021)) % 1.02/1.25 (define @t2023 () (= @t4 @t759)) % 1.02/1.25 (define @t2024 () (or @t1922 @t2023)) % 1.02/1.25 (define @t2025 () (=> tptp.cartprodfstpairEq @t2013)) % 1.02/1.25 (define @t2026 () (=> tptp.cartprodmempaircEq @t2025)) % 1.02/1.25 (define @t2027 () (not @t673)) % 1.02/1.25 (define @t2028 () (or @t2027 @t352)) % 1.02/1.25 (define @t2029 () (=> tptp.cartprodpairmemER @t2026)) % 1.02/1.25 (define @t2030 () (or @t2027 @t7)) % 1.02/1.25 (define @t2031 () (=> tptp.cartprodpairmemEL @t2029)) % 1.02/1.25 (define @t2032 () (or @t1999 @t813)) % 1.02/1.25 (define @t2033 () (=> tptp.cartprodsndin @t2031)) % 1.02/1.25 (define @t2034 () (not @t689)) % 1.02/1.25 (define @t2035 () (or @t2034 @t1998)) % 1.02/1.25 (define @t2036 () (=> tptp.kpairsurjEq @t2033)) % 1.02/1.25 (define @t2037 () (=> tptp.ksndpairEq @t2036)) % 1.02/1.25 (define @t2038 () (or @t2034 @t1157)) % 1.02/1.25 (define @t2039 () (_ @t797 @t1149)) % 1.02/1.25 (define @t2040 () (= @t381 @t2039)) % 1.02/1.25 (define @t2041 () (lambda @t1152 @t2040)) % 1.02/1.25 (define @t2042 () (_ tptp.dsetconstr @t1154)) % 1.02/1.25 (define @t2043 () (_ @t748 @t2041)) % 1.02/1.25 (define @t2044 () (= @t1156 @t2043)) % 1.02/1.25 (define @t2045 () (not @t2044)) % 1.02/1.25 (define @t2046 () (tptp.in @t4 @t2043)) % 1.02/1.25 (define @t2047 () (not @t2046)) % 1.02/1.25 (define @t2048 () (or @t2047 @t2045)) % 1.02/1.25 (define @t2049 () (= @t1156 @t799)) % 1.02/1.25 (define @t2050 () (not @t2049)) % 1.02/1.25 (define @t2051 () (tptp.in @t4 @t799)) % 1.02/1.25 (define @t2052 () (not @t2051)) % 1.02/1.25 (define @t2053 () (or @t2052 @t2050)) % 1.02/1.25 (define @t2054 () (not (= @t799 @t1156))) % 1.02/1.25 (define @t2055 () (or @t2052 @t2054)) % 1.02/1.25 (define @t2056 () (forall @t9 @t2055)) % 1.02/1.25 (define @t2057 () (not @t2056)) % 1.02/1.25 (define @t2058 () (lambda @t64 (not (forall @t9 (or @t1095 (not (= @t2 @t1156))))))) % 1.02/1.25 (define @t2059 () (_ @t2058 @t799)) % 1.02/1.25 (define @t2060 () (=> @t689 @t2059)) % 1.02/1.25 (define @t2061 () (forall @t751 @t2060)) % 1.02/1.25 (define @t2062 () (not @t1053)) % 1.02/1.25 (define @t2063 () (or @t197 @t2062)) % 1.02/1.25 (define @t2064 () (forall @t9 (not @t1054))) % 1.02/1.25 (define @t2065 () (not @t2064)) % 1.02/1.25 (define @t2066 () (=> tptp.ksndsingleton @t2037)) % 1.02/1.25 (define @t2067 () (not @t776)) % 1.02/1.25 (define @t2068 () (or @t2067 @t786)) % 1.02/1.25 (define @t2069 () (=> tptp.setukpairinjR @t2066)) % 1.02/1.25 (define @t2070 () (_ tptp.setadjoin @t1156)) % 1.02/1.25 (define @t2071 () (not @t771)) % 1.02/1.25 (define @t2072 () (or @t2071 @t786)) % 1.02/1.25 (define @t2073 () (=> tptp.setukpairinjR2 @t2069)) % 1.02/1.25 (define @t2074 () (not @t790)) % 1.02/1.25 (define @t2075 () (or @t2074 @t129)) % 1.02/1.25 (define @t2076 () (=> tptp.upairequniteq @t2073)) % 1.02/1.25 (define @t2077 () (not true)) % 1.02/1.25 (define @t2078 () (not (= @t381 @t381))) % 1.02/1.25 (define @t2079 () (or @t1174 @t2078 @t786)) % 1.02/1.25 (define @t2080 () (not @t385)) % 1.02/1.25 (define @t2081 () (or @t2080 @t1171 @t2080 @t786)) % 1.02/1.25 (define @t2082 () (@list @t289)) % 1.02/1.25 (define @t2083 () (or @t1171 @t2080 @t786)) % 1.02/1.25 (define @t2084 () (forall @t2082 @t2083)) % 1.02/1.25 (define @t2085 () (forall @t1176 @t2084)) % 1.02/1.25 (define @t2086 () (forall (@list @t4 @t19 @t381 @t289) @t2083)) % 1.02/1.25 (define @t2087 () (or @t2071 @t2080 @t786)) % 1.02/1.25 (define @t2088 () (=> tptp.setukpairinjR1 @t2076)) % 1.02/1.25 (define @t2089 () (not (= @t19 @t19))) % 1.02/1.25 (define @t2090 () (or @t2089 @t1179)) % 1.02/1.25 (define @t2091 () (tptp.setadjoin @t1156 tptp.emptyset)) % 1.02/1.25 (define @t2092 () (= @t1170 @t2091)) % 1.02/1.25 (define @t2093 () (or @t282 @t282 @t2092)) % 1.02/1.25 (define @t2094 () (or @t282 @t2092)) % 1.02/1.25 (define @t2095 () (forall @t9 @t2094)) % 1.02/1.25 (define @t2096 () (forall @t70 @t2095)) % 1.02/1.25 (define @t2097 () (@list @t19 @t4)) % 1.02/1.25 (define @t2098 () (forall @t2097 @t2094)) % 1.02/1.25 (define @t2099 () (or @t282 @t783)) % 1.02/1.25 (define @t2100 () (=> tptp.setukpairinjR12 @t2088)) % 1.02/1.25 (define @t2101 () (or @t2089 @t1181)) % 1.02/1.25 (define @t2102 () (= @t1156 @t1168)) % 1.02/1.25 (define @t2103 () (or @t282 @t282 @t2102)) % 1.02/1.25 (define @t2104 () (or @t282 @t2102)) % 1.02/1.25 (define @t2105 () (forall @t9 @t2104)) % 1.02/1.25 (define @t2106 () (forall @t70 @t2105)) % 1.02/1.25 (define @t2107 () (forall @t2097 @t2104)) % 1.02/1.25 (define @t2108 () (= @t279 @t291)) % 1.02/1.25 (define @t2109 () (or @t282 @t2108)) % 1.02/1.25 (define @t2110 () (=> tptp.setukpairinjR11 @t2100)) % 1.02/1.25 (define @t2111 () (or @t2067 @t740)) % 1.02/1.25 (define @t2112 () (=> tptp.setukpairinjL @t2110)) % 1.02/1.25 (define @t2113 () (or @t2071 @t740)) % 1.02/1.25 (define @t2114 () (=> tptp.setukpairinjL2 @t2112)) % 1.02/1.25 (define @t2115 () (or @t1999 @t764)) % 1.02/1.25 (define @t2116 () (=> tptp.cartprodfstin @t2114)) % 1.02/1.25 (define @t2117 () (=> tptp.kfstpairEq @t2116)) % 1.02/1.25 (define @t2118 () (not (= @t1191 @t1191))) % 1.02/1.25 (define @t2119 () (or @t1193 @t1192 @t2118)) % 1.02/1.25 (define @t2120 () (not (= @t692 @t1191))) % 1.02/1.25 (define @t2121 () (not (tptp.in @t1190 @t692))) % 1.02/1.25 (define @t2122 () (tptp.setunion @t692)) % 1.02/1.25 (define @t2123 () (tptp.in @t2122 @t692)) % 1.02/1.25 (define @t2124 () (or @t2120 @t2123 @t2121 @t2120)) % 1.02/1.25 (define @t2125 () (or @t2123 @t2121 @t2120)) % 1.02/1.25 (define @t2126 () (forall @t696 @t2125)) % 1.02/1.25 (define @t2127 () (forall @t1195 @t2126)) % 1.02/1.25 (define @t2128 () (forall (@list @t1190 @t692) @t2125)) % 1.02/1.25 (define @t2129 () (@list @t692 @t1190)) % 1.02/1.25 (define @t2130 () (or @t2121 @t2120)) % 1.02/1.25 (define @t2131 () (or @t2130 @t2123)) % 1.02/1.25 (define @t2132 () (forall @t2129 @t2131)) % 1.02/1.25 (define @t2133 () (forall @t1195 @t2131)) % 1.02/1.25 (define @t2134 () (forall @t1195 @t2130)) % 1.02/1.25 (define @t2135 () (or @t2134 @t2123)) % 1.02/1.25 (define @t2136 () (forall @t9 (or @t1257 (not (= @t692 @t1156))))) % 1.02/1.25 (define @t2137 () (or @t2136 @t755)) % 1.02/1.25 (define @t2138 () (not @t2136)) % 1.02/1.25 (define @t2139 () (_ @t2058 @t692)) % 1.02/1.25 (define @t2140 () (=> @t2139 @t755)) % 1.02/1.25 (define @t2141 () (forall @t696 @t2140)) % 1.02/1.25 (define @t2142 () (=> tptp.theprop @t2117)) % 1.02/1.25 (define @t2143 () (or @t2034 @t1203)) % 1.02/1.25 (define @t2144 () (_ (_ tptp.setadjoin @t1197) tptp.emptyset)) % 1.02/1.25 (define @t2145 () (_ (_ tptp.in @t2144) @t381)) % 1.02/1.25 (define @t2146 () (lambda @t1200 @t2145)) % 1.02/1.25 (define @t2147 () (_ @t748 @t2146)) % 1.02/1.25 (define @t2148 () (= @t1156 @t2147)) % 1.02/1.25 (define @t2149 () (not @t2148)) % 1.02/1.25 (define @t2150 () (tptp.in @t4 @t2147)) % 1.02/1.25 (define @t2151 () (not @t2150)) % 1.02/1.25 (define @t2152 () (or @t2151 @t2149)) % 1.02/1.25 (define @t2153 () (= @t1156 @t749)) % 1.02/1.25 (define @t2154 () (not @t2153)) % 1.02/1.25 (define @t2155 () (tptp.in @t4 @t749)) % 1.02/1.25 (define @t2156 () (not @t2155)) % 1.02/1.25 (define @t2157 () (or @t2156 @t2154)) % 1.02/1.25 (define @t2158 () (not (= @t749 @t1156))) % 1.02/1.25 (define @t2159 () (or @t2156 @t2158)) % 1.02/1.25 (define @t2160 () (forall @t9 @t2159)) % 1.02/1.25 (define @t2161 () (not @t2160)) % 1.02/1.25 (define @t2162 () (_ @t2058 @t749)) % 1.02/1.25 (define @t2163 () (=> @t689 @t2162)) % 1.02/1.25 (define @t2164 () (forall @t751 @t2163)) % 1.02/1.25 (define @t2165 () (=> tptp.kfstsingleton @t2142)) % 1.02/1.25 (define @t2166 () (not @t743)) % 1.02/1.25 (define @t2167 () (or @t2166 @t740)) % 1.02/1.25 (define @t2168 () (=> tptp.setukpairinjL1 @t2165)) % 1.02/1.25 (define @t2169 () (not (= @t1167 @t1156))) % 1.02/1.25 (define @t2170 () (or @t2169 @t129)) % 1.02/1.25 (define @t2171 () (= @t275 @t279)) % 1.02/1.25 (define @t2172 () (not @t2171)) % 1.02/1.25 (define @t2173 () (or @t2172 @t129)) % 1.02/1.25 (define @t2174 () (=> tptp.singletonsuniq @t2168)) % 1.02/1.25 (define @t2175 () (or @t1210 @t1209)) % 1.02/1.25 (define @t2176 () (or @t1225 @t2175 @t1215)) % 1.02/1.25 (define @t2177 () (forall @t1227 @t2176)) % 1.02/1.25 (define @t2178 () (@list @t1208)) % 1.02/1.25 (define @t2179 () (forall @t2178 @t2176)) % 1.02/1.25 (define @t2180 () (forall @t2178 @t2175)) % 1.02/1.25 (define @t2181 () (or @t1225 @t2180 @t1215)) % 1.02/1.25 (define @t2182 () (or @t1225 @t1244 @t1215)) % 1.02/1.25 (define @t2183 () (not @t1245)) % 1.02/1.25 (define @t2184 () (=> @t1245 @t1215)) % 1.02/1.25 (define @t2185 () (@var "BOUND_VARIABLE_11311" $$unsorted)) % 1.02/1.25 (define @t2186 () (_ @t143 @t2185)) % 1.02/1.25 (define @t2187 () (@list @t2185)) % 1.02/1.25 (define @t2188 () (lambda @t2187 @t2186)) % 1.02/1.25 (define @t2189 () (tptp.dsetconstr @t2 @t2188)) % 1.02/1.25 (define @t2190 () (= @t1156 @t2189)) % 1.02/1.25 (define @t2191 () (not @t2190)) % 1.02/1.25 (define @t2192 () (tptp.in @t4 @t2189)) % 1.02/1.25 (define @t2193 () (not @t2192)) % 1.02/1.25 (define @t2194 () (or @t2193 @t2191)) % 1.02/1.25 (define @t2195 () (_ @t143 @t2185)) % 1.02/1.25 (define @t2196 () (lambda @t2187 @t2195)) % 1.02/1.25 (define @t2197 () (tptp.dsetconstr @t2 @t2196)) % 1.02/1.25 (define @t2198 () (= @t1156 @t2197)) % 1.02/1.25 (define @t2199 () (not @t2198)) % 1.02/1.25 (define @t2200 () (tptp.in @t4 @t2197)) % 1.02/1.25 (define @t2201 () (not @t2200)) % 1.02/1.25 (define @t2202 () (or @t2201 @t2199)) % 1.02/1.25 (define @t2203 () (tptp.dsetconstr @t2 @t145)) % 1.02/1.25 (define @t2204 () (= @t1156 @t2203)) % 1.02/1.25 (define @t2205 () (not @t2204)) % 1.02/1.25 (define @t2206 () (tptp.in @t4 @t2203)) % 1.02/1.25 (define @t2207 () (not @t2206)) % 1.02/1.25 (define @t2208 () (or @t2207 @t2205)) % 1.02/1.25 (define @t2209 () (forall @t9 @t2208)) % 1.02/1.25 (define @t2210 () (not @t2209)) % 1.02/1.25 (define @t2211 () (lambda @t150 @t1215)) % 1.02/1.25 (define @t2212 () (_ (lambda @t309 @t1215) @t2)) % 1.02/1.25 (define @t2213 () (or @t197 @t315)) % 1.02/1.25 (define @t2214 () (forall @t9 (not @t306))) % 1.02/1.25 (define @t2215 () (not @t2214)) % 1.02/1.25 (define @t2216 () (_ @t2212 @t145)) % 1.02/1.25 (define @t2217 () (=> @t307 @t2216)) % 1.02/1.25 (define @t2218 () (or @t1219 @t1218 @t1217)) % 1.02/1.25 (define @t2219 () (or @t1095 @t1221 @t2218)) % 1.02/1.25 (define @t2220 () (forall @t1223 @t2219)) % 1.02/1.25 (define @t2221 () (@list @t1216)) % 1.02/1.25 (define @t2222 () (forall @t2221 @t2219)) % 1.02/1.25 (define @t2223 () (forall @t2221 @t2218)) % 1.02/1.25 (define @t2224 () (or @t1095 @t1221 @t2223)) % 1.02/1.25 (define @t2225 () (or @t197 @t315 @t1238)) % 1.02/1.25 (define @t2226 () (or @t315 @t1238)) % 1.02/1.25 (define @t2227 () (not @t153)) % 1.02/1.25 (define @t2228 () (not @t21)) % 1.02/1.25 (define @t2229 () (or @t2228 @t2227 @t129)) % 1.02/1.25 (define @t2230 () (forall @t70 @t2229)) % 1.02/1.25 (define @t2231 () (or @t315 @t2230)) % 1.02/1.25 (define @t2232 () (or @t315 @t2229)) % 1.02/1.25 (define @t2233 () (or @t2228 @t315 @t2227 @t129)) % 1.02/1.25 (define @t2234 () (or @t315 @t2227 @t129)) % 1.02/1.25 (define @t2235 () (or @t2227 @t129)) % 1.02/1.25 (define @t2236 () (=> @t716 @t2217)) % 1.02/1.25 (define @t2237 () (forall @t309 @t2236)) % 1.02/1.25 (define @t2238 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 1.02/1.25 (define @t2239 () (_ @t143 @t2238)) % 1.02/1.25 (define @t2240 () (@list @t2238)) % 1.02/1.25 (define @t2241 () (lambda @t2240 @t2239)) % 1.02/1.25 (define @t2242 () (tptp.dsetconstr @t2 @t2241)) % 1.02/1.25 (define @t2243 () (= @t1156 @t2242)) % 1.02/1.25 (define @t2244 () (not @t2243)) % 1.02/1.25 (define @t2245 () (tptp.in @t4 @t2242)) % 1.02/1.25 (define @t2246 () (not @t2245)) % 1.02/1.25 (define @t2247 () (or @t2246 @t2244)) % 1.02/1.25 (define @t2248 () (_ @t143 @t2238)) % 1.02/1.25 (define @t2249 () (lambda @t2240 @t2248)) % 1.02/1.25 (define @t2250 () (_ @t155 @t2249)) % 1.02/1.25 (define @t2251 () (= @t1156 @t2250)) % 1.02/1.25 (define @t2252 () (not @t2251)) % 1.02/1.25 (define @t2253 () (tptp.in @t4 @t2250)) % 1.02/1.25 (define @t2254 () (not @t2253)) % 1.02/1.25 (define @t2255 () (or @t2254 @t2252)) % 1.02/1.25 (define @t2256 () (not (= @t2250 @t1156))) % 1.02/1.25 (define @t2257 () (or @t2254 @t2256)) % 1.02/1.25 (define @t2258 () (= @t304 @t1156)) % 1.02/1.25 (define @t2259 () (not @t2258)) % 1.02/1.25 (define @t2260 () (tptp.in @t4 @t304)) % 1.02/1.25 (define @t2261 () (not @t2260)) % 1.02/1.25 (define @t2262 () (or @t2261 @t2259)) % 1.02/1.25 (define @t2263 () (forall @t9 @t2262)) % 1.02/1.25 (define @t2264 () (not @t2263)) % 1.02/1.25 (define @t2265 () (_ @t2058 @t304)) % 1.02/1.25 (define @t2266 () (=> tptp.ex1I2 @t2174)) % 1.02/1.25 (define @t2267 () (or @t197 @t315 @t1239 @t1233)) % 1.02/1.25 (define @t2268 () (or @t315 @t1239 @t1233)) % 1.02/1.25 (define @t2269 () (=> @t1238 @t1233)) % 1.02/1.25 (define @t2270 () (=> @t144 @t2269)) % 1.02/1.25 (define @t2271 () (not (= @t1230 @t1211))) % 1.02/1.25 (define @t2272 () (or @t1231 @t2271)) % 1.02/1.25 (define @t2273 () (forall @t1232 @t2272)) % 1.02/1.25 (define @t2274 () (not @t2273)) % 1.02/1.25 (define @t2275 () (=> @t1238 @t2274)) % 1.02/1.25 (define @t2276 () (=> @t144 @t2275)) % 1.02/1.25 (define @t2277 () (=> @t7 @t2276)) % 1.02/1.25 (define @t2278 () (=> @t1238 @t1215)) % 1.02/1.25 (define @t2279 () (=> @t144 @t2278)) % 1.02/1.25 (define @t2280 () (=> @t7 @t2279)) % 1.02/1.25 (define @t2281 () (lambda @t70 @t1234)) % 1.02/1.25 (define @t2282 () (tptp.dsetconstr @t2 @t2281)) % 1.02/1.25 (define @t2283 () (= @t1156 @t2282)) % 1.02/1.25 (define @t2284 () (not @t2283)) % 1.02/1.25 (define @t2285 () (tptp.in @t4 @t2282)) % 1.02/1.25 (define @t2286 () (not @t2285)) % 1.02/1.25 (define @t2287 () (or @t2286 @t2284)) % 1.02/1.25 (define @t2288 () (tptp.dsetconstr @t2 @t154)) % 1.02/1.25 (define @t2289 () (= @t1156 @t2288)) % 1.02/1.25 (define @t2290 () (not @t2289)) % 1.02/1.25 (define @t2291 () (tptp.in @t4 @t2288)) % 1.02/1.25 (define @t2292 () (not @t2291)) % 1.02/1.25 (define @t2293 () (or @t2292 @t2290)) % 1.02/1.25 (define @t2294 () (forall @t9 @t2293)) % 1.02/1.25 (define @t2295 () (not @t2294)) % 1.02/1.25 (define @t2296 () (=> @t727 (_ @t2212 @t154))) % 1.02/1.25 (define @t2297 () (=> @t144 @t2296)) % 1.02/1.25 (define @t2298 () (=> @t7 @t2297)) % 1.02/1.25 (define @t2299 () (forall @t159 @t2298)) % 1.02/1.25 (define @t2300 () (=> tptp.ex1I @t2266)) % 1.02/1.25 (define @t2301 () (not (= @t1242 @t1211))) % 1.02/1.25 (define @t2302 () (or @t1245 @t1243 @t2301)) % 1.02/1.25 (define @t2303 () (or @t1243 @t2301)) % 1.02/1.25 (define @t2304 () (or @t2303 @t1245)) % 1.02/1.25 (define @t2305 () (forall @t1246 @t2304)) % 1.02/1.25 (define @t2306 () (@list @t1241)) % 1.02/1.25 (define @t2307 () (forall @t2306 @t2304)) % 1.02/1.25 (define @t2308 () (forall @t2306 @t2303)) % 1.02/1.25 (define @t2309 () (or @t2308 @t1245)) % 1.02/1.25 (define @t2310 () (=> @t2216 @t307)) % 1.02/1.25 (define @t2311 () (forall @t309 @t2310)) % 1.02/1.25 (define @t2312 () (=> tptp.ex1E1 @t2300)) % 1.02/1.25 (define @t2313 () (=> @t307 @t2265)) % 1.02/1.25 (define @t2314 () (=> @t716 @t2313)) % 1.02/1.25 (define @t2315 () (forall @t309 @t2314)) % 1.02/1.25 (define @t2316 () (=> tptp.singletonprop @t2312)) % 1.02/1.25 (define @t2317 () (= @t4 @t709)) % 1.02/1.25 (define @t2318 () (=> tptp.setunionsingleton @t2316)) % 1.02/1.25 (define @t2319 () (=> tptp.setunionsingleton2 @t2318)) % 1.02/1.25 (define @t2320 () (=> tptp.setunionsingleton1 @t2319)) % 1.02/1.25 (define @t2321 () (not @t44)) % 1.02/1.25 (define @t2322 () (or @t2321 @t1259)) % 1.02/1.25 (define @t2323 () (not @t693)) % 1.02/1.25 (define @t2324 () (not @t694)) % 1.02/1.25 (define @t2325 () (or @t2324 @t2323)) % 1.02/1.25 (define @t2326 () (forall @t696 (not @t695))) % 1.02/1.25 (define @t2327 () (not @t2326)) % 1.02/1.25 (define @t2328 () (=> tptp.setunionE2 @t2320)) % 1.02/1.25 (define @t2329 () (or @t1999 @t689)) % 1.02/1.25 (define @t2330 () (=> tptp.cartprodmempair @t2328)) % 1.02/1.25 (define @t2331 () (or @t1999 @t1270)) % 1.02/1.25 (define @t2332 () (or @t1267 @t1266)) % 1.02/1.25 (define @t2333 () (or @t1095 @t2332)) % 1.02/1.25 (define @t2334 () (forall @t1269 @t2333)) % 1.02/1.25 (define @t2335 () (@list @t1265)) % 1.02/1.25 (define @t2336 () (forall @t2335 @t2333)) % 1.02/1.25 (define @t2337 () (forall @t2335 @t2332)) % 1.02/1.25 (define @t2338 () (or @t1095 @t2337)) % 1.02/1.25 (define @t2339 () (forall @t70 (or @t1903 @t1949))) % 1.02/1.25 (define @t2340 () (or @t197 @t2339)) % 1.02/1.25 (define @t2341 () (not @t2339)) % 1.02/1.25 (define @t2342 () (and @t7 @t2341)) % 1.02/1.25 (define @t2343 () (forall @t9 (not @t2342))) % 1.02/1.25 (define @t2344 () (not @t2343)) % 1.02/1.25 (define @t2345 () (or @t1922 @t1956)) % 1.02/1.25 (define @t2346 () (forall @t70 (not @t679))) % 1.02/1.25 (define @t2347 () (not @t2346)) % 1.02/1.25 (define @t2348 () (=> tptp.cartprodmempair1 @t2330)) % 1.02/1.25 (define @t2349 () (or @t1274 @t1273)) % 1.02/1.25 (define @t2350 () (or @t1095 @t2349)) % 1.02/1.25 (define @t2351 () (forall @t1276 @t2350)) % 1.02/1.25 (define @t2352 () (@list @t1272)) % 1.02/1.25 (define @t2353 () (forall @t2352 @t2350)) % 1.02/1.25 (define @t2354 () (forall @t2352 @t2349)) % 1.02/1.25 (define @t2355 () (or @t1095 @t2354)) % 1.02/1.25 (define @t2356 () (forall @t70 (or @t1903 @t1137))) % 1.02/1.25 (define @t2357 () (or @t197 @t2356)) % 1.02/1.25 (define @t2358 () (or @t1922 @t673)) % 1.02/1.25 (define @t2359 () (=> tptp.cartprodpairin @t2348)) % 1.02/1.25 (define @t2360 () (or @t1283 @t1282)) % 1.02/1.25 (define @t2361 () (or @t1095 @t2360)) % 1.02/1.25 (define @t2362 () (forall @t1285 @t2361)) % 1.02/1.25 (define @t2363 () (@list @t1281)) % 1.02/1.25 (define @t2364 () (forall @t2363 @t2361)) % 1.02/1.25 (define @t2365 () (forall @t2363 @t2360)) % 1.02/1.25 (define @t2366 () (or @t1095 @t2365)) % 1.02/1.25 (define @t2367 () (tptp.in @t1086 @t1280)) % 1.02/1.25 (define @t2368 () (forall @t70 (or @t1903 @t2367))) % 1.02/1.25 (define @t2369 () (or @t197 @t2368)) % 1.02/1.25 (define @t2370 () (or @t1922 @t667)) % 1.02/1.25 (define @t2371 () (=> tptp.ubforcartprodlem3 @t2359)) % 1.02/1.25 (define @t2372 () (or @t1289 @t1288)) % 1.02/1.25 (define @t2373 () (or @t1095 @t2372)) % 1.02/1.25 (define @t2374 () (forall @t1291 @t2373)) % 1.02/1.25 (define @t2375 () (@list @t1287)) % 1.02/1.25 (define @t2376 () (forall @t2375 @t2373)) % 1.02/1.25 (define @t2377 () (forall @t2375 @t2372)) % 1.02/1.25 (define @t2378 () (or @t1095 @t2377)) % 1.02/1.25 (define @t2379 () (tptp.in @t1170 @t1280)) % 1.02/1.25 (define @t2380 () (forall @t70 (or @t1903 @t2379))) % 1.02/1.25 (define @t2381 () (or @t197 @t2380)) % 1.02/1.25 (define @t2382 () (or @t1922 @t661)) % 1.02/1.25 (define @t2383 () (=> tptp.ubforcartprodlem2 @t2371)) % 1.02/1.25 (define @t2384 () (or @t1295 @t1294)) % 1.02/1.25 (define @t2385 () (or @t1095 @t2384)) % 1.02/1.25 (define @t2386 () (forall @t1297 @t2385)) % 1.02/1.25 (define @t2387 () (@list @t1293)) % 1.02/1.25 (define @t2388 () (forall @t2387 @t2385)) % 1.02/1.25 (define @t2389 () (forall @t2387 @t2384)) % 1.02/1.25 (define @t2390 () (or @t1095 @t2389)) % 1.02/1.25 (define @t2391 () (tptp.subset @t1170 @t1279)) % 1.02/1.25 (define @t2392 () (forall @t70 (or @t1903 @t2391))) % 1.02/1.25 (define @t2393 () (or @t197 @t2392)) % 1.02/1.25 (define @t2394 () (or @t1922 @t655)) % 1.02/1.25 (define @t2395 () (=> tptp.ubforcartprodlem1 @t2383)) % 1.02/1.25 (define @t2396 () (or @t1301 @t1300)) % 1.02/1.25 (define @t2397 () (or @t1095 @t2396)) % 1.02/1.25 (define @t2398 () (forall @t1303 @t2397)) % 1.02/1.25 (define @t2399 () (@list @t1299)) % 1.02/1.25 (define @t2400 () (forall @t2399 @t2397)) % 1.02/1.25 (define @t2401 () (forall @t2399 @t2396)) % 1.02/1.25 (define @t2402 () (or @t1095 @t2401)) % 1.02/1.25 (define @t2403 () (tptp.in @t1168 @t1279)) % 1.02/1.25 (define @t2404 () (forall @t70 (or @t1903 @t2403))) % 1.02/1.25 (define @t2405 () (or @t197 @t2404)) % 1.02/1.25 (define @t2406 () (or @t1922 @t650)) % 1.02/1.25 (define @t2407 () (=> tptp.upairinpowunion @t2395)) % 1.02/1.25 (define @t2408 () (or @t1307 @t1306)) % 1.02/1.25 (define @t2409 () (or @t1095 @t2408)) % 1.02/1.25 (define @t2410 () (forall @t1309 @t2409)) % 1.02/1.25 (define @t2411 () (@list @t1305)) % 1.02/1.25 (define @t2412 () (forall @t2411 @t2409)) % 1.02/1.25 (define @t2413 () (forall @t2411 @t2408)) % 1.02/1.25 (define @t2414 () (or @t1095 @t2413)) % 1.02/1.25 (define @t2415 () (tptp.subset @t1168 @t1278)) % 1.02/1.25 (define @t2416 () (forall @t70 (or @t1903 @t2415))) % 1.02/1.25 (define @t2417 () (or @t197 @t2416)) % 1.02/1.25 (define @t2418 () (or @t1922 @t645)) % 1.02/1.25 (define @t2419 () (=> tptp.upairsubunion @t2407)) % 1.02/1.25 (define @t2420 () (not @t293)) % 1.02/1.25 (define @t2421 () (or @t2420 @t740 @t1311)) % 1.02/1.25 (define @t2422 () (or @t740 @t1311)) % 1.02/1.25 (define @t2423 () (=> tptp.upairset2E @t2419)) % 1.02/1.25 (define @t2424 () (_ tptp.in @t1156)) % 1.02/1.25 (define @t2425 () (or @t197 @t642)) % 1.02/1.25 (define @t2426 () (=> tptp.singletoninpowunion @t2423)) % 1.02/1.25 (define @t2427 () (or @t197 @t638)) % 1.02/1.25 (define @t2428 () (=> tptp.singletoninpowerset @t2426)) % 1.02/1.25 (define @t2429 () (or @t197 @t634)) % 1.02/1.25 (define @t2430 () (=> tptp.singletonsubset @t2428)) % 1.02/1.25 (define @t2431 () (=> tptp.kpairp @t2430)) % 1.02/1.25 (define @t2432 () (=> tptp.kpairiskpair @t2431)) % 1.02/1.25 (define @t2433 () (=> tptp.setukpairIR @t2432)) % 1.02/1.25 (define @t2434 () (=> tptp.setukpairIL @t2433)) % 1.02/1.25 (define @t2435 () (=> tptp.secondinupair @t2434)) % 1.02/1.25 (define @t2436 () (or @t7 @t6 @t609)) % 1.02/1.25 (define @t2437 () (not @t435)) % 1.02/1.25 (define @t2438 () (not @t197)) % 1.02/1.25 (define @t2439 () (=> tptp.symdiffIneg2 @t2435)) % 1.02/1.25 (define @t2440 () (or @t197 @t435 @t609)) % 1.02/1.25 (define @t2441 () (=> tptp.symdiffIneg1 @t2439)) % 1.02/1.25 (define @t2442 () (or @t7 @t435 @t599)) % 1.02/1.25 (define @t2443 () (=> tptp.symdiffI2 @t2441)) % 1.02/1.25 (define @t2444 () (or @t197 @t6 @t599)) % 1.02/1.25 (define @t2445 () (=> tptp.symdiffI1 @t2443)) % 1.02/1.25 (define @t2446 () (or @t609 @t1342 @t1341)) % 1.02/1.25 (define @t2447 () (or @t1342 @t1341)) % 1.02/1.25 (define @t2448 () (not false)) % 1.02/1.25 (define @t2449 () (and @t1095 @t1335 @t2448)) % 1.02/1.25 (define @t2450 () (and @t1067 @t1337 @t2448)) % 1.02/1.25 (define @t2451 () (or @t2450 @t2449)) % 1.02/1.25 (define @t2452 () (or @t2450 @t2449 false)) % 1.02/1.25 (define @t2453 () (not @t173)) % 1.02/1.25 (define @t2454 () (and @t1095 @t1335 @t2453)) % 1.02/1.25 (define @t2455 () (and @t1067 @t1337 @t2453)) % 1.02/1.25 (define @t2456 () (not (= @t173 false))) % 1.02/1.25 (define @t2457 () (or @t173 @t2455 @t2454 @t173)) % 1.02/1.25 (define @t2458 () (or @t2455 @t2454 @t173)) % 1.02/1.25 (define @t2459 () (and @t197 @t6 @t2453)) % 1.02/1.25 (define @t2460 () (and @t7 @t435 @t2453)) % 1.02/1.25 (define @t2461 () (or @t2460 @t2459 @t173)) % 1.02/1.25 (define @t2462 () (and @t6 @t2453)) % 1.02/1.25 (define @t2463 () (not @t498)) % 1.02/1.25 (define @t2464 () (=> tptp.symdiffE @t2445)) % 1.02/1.25 (define @t2465 () (= tptp.emptyset @t565)) % 1.02/1.25 (define @t2466 () (not @t2465)) % 1.02/1.25 (define @t2467 () (or @t2466 @t420)) % 1.02/1.25 (define @t2468 () (=> tptp.setminusSubset1 @t2464)) % 1.02/1.25 (define @t2469 () (=> tptp.setminusLsub @t2468)) % 1.02/1.25 (define @t2470 () (or @t435 @t578)) % 1.02/1.25 (define @t2471 () (=> tptp.setminusIRneg @t2469)) % 1.02/1.25 (define @t2472 () (or @t7 @t578)) % 1.02/1.25 (define @t2473 () (=> tptp.setminusILneg @t2471)) % 1.02/1.25 (define @t2474 () (or @t566 @t6 @t197)) % 1.02/1.25 (define @t2475 () (or @t6 @t197)) % 1.02/1.25 (define @t2476 () (not @t578)) % 1.02/1.25 (define @t2477 () (=> tptp.setminusELneg @t2473)) % 1.02/1.25 (define @t2478 () (or @t566 @t197 @t6)) % 1.02/1.25 (define @t2479 () (or @t197 @t6)) % 1.02/1.25 (define @t2480 () (=> tptp.setminusERneg @t2477)) % 1.02/1.25 (define @t2481 () (or @t439 @t2465)) % 1.02/1.25 (define @t2482 () (=> tptp.setminusSubset2 @t2480)) % 1.02/1.25 (define @t2483 () (or @t578 @t435)) % 1.02/1.25 (define @t2484 () (=> tptp.setminusER @t2482)) % 1.02/1.25 (define @t2485 () (or @t578 @t7)) % 1.02/1.25 (define @t2486 () (=> tptp.setminusEL @t2484)) % 1.02/1.25 (define @t2487 () (or @t197 @t6 @t566)) % 1.02/1.25 (define @t2488 () (=> tptp.setminusI @t2486)) % 1.02/1.25 (define @t2489 () (=> tptp.bs114d @t2488)) % 1.02/1.25 (define @t2490 () (= @t2 @t515)) % 1.02/1.25 (define @t2491 () (not @t2490)) % 1.02/1.25 (define @t2492 () (or @t2491 @t420)) % 1.02/1.25 (define @t2493 () (=> tptp.binintersectSubset1 @t2489)) % 1.02/1.25 (define @t2494 () (= @t1 @t515)) % 1.02/1.25 (define @t2495 () (not @t425)) % 1.02/1.25 (define @t2496 () (or @t2495 @t2494)) % 1.02/1.25 (define @t2497 () (=> tptp.binintersectSubset4 @t2493)) % 1.02/1.25 (define @t2498 () (_ tptp.subset @t1362)) % 1.02/1.25 (define @t2499 () (=> tptp.binintersectRsub @t2497)) % 1.02/1.25 (define @t2500 () (= tptp.emptyset @t515)) % 1.02/1.25 (define @t2501 () (or @t1376 @t2500)) % 1.02/1.25 (define @t2502 () (or @t197 @t435)) % 1.02/1.25 (define @t2503 () (forall @t9 (not @t543))) % 1.02/1.25 (define @t2504 () (not @t2503)) % 1.02/1.25 (define @t2505 () (=> tptp.disjointsetsI1 @t2499)) % 1.02/1.25 (define @t2506 () (not @t516)) % 1.02/1.25 (define @t2507 () (or @t2506 @t6)) % 1.02/1.25 (define @t2508 () (=> tptp.binintersectER @t2505)) % 1.02/1.25 (define @t2509 () (not @t2494)) % 1.02/1.25 (define @t2510 () (or @t2509 @t425)) % 1.02/1.25 (define @t2511 () (=> tptp.binintersectSubset3 @t2508)) % 1.02/1.25 (define @t2512 () (or @t439 @t2490)) % 1.02/1.25 (define @t2513 () (=> tptp.binintersectSubset2 @t2511)) % 1.02/1.25 (define @t2514 () (=> tptp.binintersectLsub @t2513)) % 1.02/1.25 (define @t2515 () (or @t2506 @t7)) % 1.02/1.25 (define @t2516 () (=> tptp.binintersectEL @t2514)) % 1.02/1.25 (define @t2517 () (not @t522)) % 1.02/1.25 (define @t2518 () (not @t524)) % 1.02/1.25 (define @t2519 () (or @t2518 @t2517 @t521)) % 1.02/1.25 (define @t2520 () (=> tptp.binintersectSubset5 @t2516)) % 1.02/1.25 (define @t2521 () (or @t197 @t435 @t516)) % 1.02/1.25 (define @t2522 () (=> tptp.binintersectI @t2520)) % 1.02/1.25 (define @t2523 () (=> tptp.binunionRsub @t2522)) % 1.02/1.25 (define @t2524 () (=> tptp.binunionLsub @t2523)) % 1.02/1.25 (define @t2525 () (not @t493)) % 1.02/1.25 (define @t2526 () (or @t2525 @t7 @t6)) % 1.02/1.25 (define @t2527 () (=> tptp.binunionE @t2524)) % 1.02/1.25 (define @t2528 () (and @t1335 @t2448)) % 1.02/1.25 (define @t2529 () (and @t1067 @t2448)) % 1.02/1.25 (define @t2530 () (or @t1396 @t2529 @t2528)) % 1.02/1.25 (define @t2531 () (or @t1396 @t2529 @t2528 false)) % 1.02/1.25 (define @t2532 () (and @t1335 @t2453)) % 1.02/1.25 (define @t2533 () (and @t1067 @t2453)) % 1.02/1.25 (define @t2534 () (or @t173 @t1396 @t2533 @t2532 @t173)) % 1.02/1.25 (define @t2535 () (or @t1396 @t2533 @t2532 @t173)) % 1.02/1.25 (define @t2536 () (forall @t179 @t2535)) % 1.02/1.25 (define @t2537 () (forall @t245 @t2536)) % 1.02/1.25 (define @t2538 () (and @t7 @t2453)) % 1.02/1.25 (define @t2539 () (or @t2525 @t2538 @t2462 @t173)) % 1.02/1.25 (define @t2540 () (or @t2538 @t2462 @t173)) % 1.02/1.25 (define @t2541 () (=> tptp.binunionEcases @t2527)) % 1.02/1.25 (define @t2542 () (or @t435 @t493)) % 1.02/1.25 (define @t2543 () (=> tptp.binunionIR @t2541)) % 1.02/1.25 (define @t2544 () (=> tptp.upairset2IR @t2543)) % 1.02/1.25 (define @t2545 () (or @t197 @t493)) % 1.02/1.25 (define @t2546 () (=> tptp.binunionIL @t2544)) % 1.02/1.25 (define @t2547 () (lambda @t9 @t1220)) % 1.02/1.25 (define @t2548 () (tptp.dsetconstr @t2 @t2547)) % 1.02/1.25 (define @t2549 () (tptp.subset @t2548 @t2)) % 1.02/1.25 (define @t2550 () (=> tptp.sepSubset @t2546)) % 1.02/1.25 (define @t2551 () (tptp.in @t2548 @t1316)) % 1.02/1.25 (define @t2552 () (=> tptp.sepInPowerset @t2550)) % 1.02/1.25 (define @t2553 () (or @t439 @t483)) % 1.02/1.25 (define @t2554 () (=> tptp.powersetsubset @t2552)) % 1.02/1.25 (define @t2555 () (=> tptp.inPowerset @t2554)) % 1.02/1.25 (define @t2556 () (not @t35)) % 1.02/1.25 (define @t2557 () (or @t2556 @t425)) % 1.02/1.25 (define @t2558 () (=> tptp.powersetE1 @t2555)) % 1.02/1.25 (define @t2559 () (or @t2495 @t35)) % 1.02/1.25 (define @t2560 () (=> tptp.powersetI1 @t2558)) % 1.02/1.25 (define @t2561 () (not @t473)) % 1.02/1.25 (define @t2562 () (or @t2561 @t196)) % 1.02/1.25 (define @t2563 () (=> tptp.subsetemptysetimpeq @t2560)) % 1.02/1.25 (define @t2564 () (or @t439 @t2495 @t3)) % 1.02/1.25 (define @t2565 () (=> tptp.setextsub @t2563)) % 1.02/1.25 (define @t2566 () (or @t439 @t467)) % 1.02/1.25 (define @t2567 () (=> tptp.subset2powerset @t2565)) % 1.02/1.25 (define @t2568 () (or @t439 @t463)) % 1.02/1.25 (define @t2569 () (=> tptp.setadjoinSub2 @t2567)) % 1.02/1.25 (define @t2570 () (=> tptp.setadjoinSub @t2569)) % 1.02/1.25 (define @t2571 () (not @t453)) % 1.02/1.25 (define @t2572 () (or @t439 @t2571 @t452)) % 1.02/1.25 (define @t2573 () (=> tptp.subsetTrans @t2570)) % 1.02/1.25 (define @t2574 () (=> tptp.subsetRefl @t2573)) % 1.02/1.25 (define @t2575 () (@list @t1 @t4)) % 1.02/1.25 (define @t2576 () (or @t1337 @t1335)) % 1.02/1.25 (define @t2577 () (not (= @t1 @t1))) % 1.02/1.25 (define @t2578 () (or @t1337 @t1335 @t2577)) % 1.02/1.25 (define @t2579 () (or @t443 @t1095 @t1335 @t443)) % 1.02/1.25 (define @t2580 () (or @t1095 @t1335 @t443)) % 1.02/1.25 (define @t2581 () (forall @t64 @t2580)) % 1.02/1.25 (define @t2582 () (forall @t2575 @t2581)) % 1.02/1.25 (define @t2583 () (forall (@list @t1 @t4 @t2) @t2580)) % 1.02/1.25 (define @t2584 () (or @t197 @t6 @t443)) % 1.02/1.25 (define @t2585 () (=> tptp.notequalI2 @t2574)) % 1.02/1.25 (define @t2586 () (or @t1427 @t2577)) % 1.02/1.25 (define @t2587 () (or @t443 @t1344 @t443)) % 1.02/1.25 (define @t2588 () (or @t1344 @t443)) % 1.02/1.25 (define @t2589 () (forall @t64 @t2588)) % 1.02/1.25 (define @t2590 () (forall @t41 @t2589)) % 1.02/1.25 (define @t2591 () (@list @t1 @t2)) % 1.02/1.25 (define @t2592 () (forall @t2591 @t2588)) % 1.02/1.25 (define @t2593 () (or @t420 @t443)) % 1.02/1.25 (define @t2594 () (=> tptp.notequalI1 @t2585)) % 1.02/1.25 (define @t2595 () (or @t197 @t6 @t439)) % 1.02/1.25 (define @t2596 () (=> tptp.notsubsetI @t2594)) % 1.02/1.25 (define @t2597 () (or @t439 @t6 @t197)) % 1.02/1.25 (define @t2598 () (=> tptp.subsetE2 @t2596)) % 1.02/1.25 (define @t2599 () (or @t439 @t197 @t6)) % 1.02/1.25 (define @t2600 () (=> tptp.subsetE @t2598)) % 1.02/1.25 (define @t2601 () (=> tptp.emptysetsubset @t2600)) % 1.02/1.25 (define @t2602 () (or @t1435 @t420)) % 1.02/1.25 (define @t2603 () (=> tptp.subsetI2 @t2601)) % 1.02/1.25 (define @t2604 () (or @t2577 @t1427)) % 1.02/1.25 (define @t2605 () (or @t443 @t443 @t1344)) % 1.02/1.25 (define @t2606 () (or @t443 @t1344)) % 1.02/1.25 (define @t2607 () (forall @t64 @t2606)) % 1.02/1.25 (define @t2608 () (forall @t41 @t2607)) % 1.02/1.25 (define @t2609 () (forall @t2591 @t2606)) % 1.02/1.25 (define @t2610 () (or @t443 @t420)) % 1.02/1.25 (define @t2611 () (=> tptp.eqimpsubset1 @t2603)) % 1.02/1.25 (define @t2612 () (or @t443 @t443 @t1370)) % 1.02/1.25 (define @t2613 () (or @t443 @t1370)) % 1.02/1.25 (define @t2614 () (forall @t64 @t2613)) % 1.02/1.25 (define @t2615 () (forall @t41 @t2614)) % 1.02/1.25 (define @t2616 () (forall @t2591 @t2613)) % 1.02/1.25 (define @t2617 () (or @t443 @t425)) % 1.02/1.25 (define @t2618 () (=> tptp.eqimpsubset2 @t2611)) % 1.02/1.25 (define @t2619 () (=> tptp.subsetI1 @t2618)) % 1.02/1.25 (define @t2620 () (or @t1337 @t1337 @t1442)) % 1.02/1.25 (define @t2621 () (forall @t9 @t2620)) % 1.02/1.25 (define @t2622 () (not @t2621)) % 1.02/1.25 (define @t2623 () (or @t2577 @t2622 (= @t1438 @t1440))) % 1.02/1.25 (define @t2624 () (= (tptp.dsetconstr @t2 @t1437) @t1440)) % 1.02/1.25 (define @t2625 () (not (forall @t9 (or @t1095 @t1337 @t1442)))) % 1.02/1.25 (define @t2626 () (or @t443 @t443 @t2625 @t2624)) % 1.02/1.25 (define @t2627 () (or @t443 @t2625 @t2624)) % 1.02/1.25 (define @t2628 () (forall @t64 @t2627)) % 1.02/1.25 (define @t2629 () (forall @t1446 @t2628)) % 1.02/1.25 (define @t2630 () (forall (@list @t1 @t1437 @t1439 @t2) @t2627)) % 1.02/1.25 (define @t2631 () (@list @t2 @t1 @t1437 @t1439)) % 1.02/1.25 (define @t2632 () (or @t2625 @t2624)) % 1.02/1.25 (define @t2633 () (or @t443 @t2632)) % 1.02/1.25 (define @t2634 () (forall @t2631 @t2633)) % 1.02/1.25 (define @t2635 () (@list @t1437 @t1439)) % 1.02/1.25 (define @t2636 () (forall @t2635 @t2633)) % 1.02/1.25 (define @t2637 () (forall @t2635 @t2632)) % 1.02/1.25 (define @t2638 () (or @t443 @t2637)) % 1.02/1.25 (define @t2639 () (= @t1220 @t1471)) % 1.02/1.25 (define @t2640 () (forall @t9 (or @t1095 @t1337 @t2639))) % 1.02/1.25 (define @t2641 () (not @t2640)) % 1.02/1.25 (define @t2642 () (forall @t376 (or @t2641 (= @t1211 (tptp.dsetconstr @t1 @t366))))) % 1.02/1.25 (define @t2643 () (lambda @t9 @t1471)) % 1.02/1.25 (define @t2644 () (tptp.dsetconstr @t1 @t2643)) % 1.02/1.25 (define @t2645 () (= @t2548 @t2644)) % 1.02/1.25 (define @t2646 () (or @t2641 @t2645)) % 1.02/1.25 (define @t2647 () (or @t2641 @t410)) % 1.02/1.25 (define @t2648 () (or @t197 @t1337 @t2639)) % 1.02/1.25 (define @t2649 () (or @t1337 @t2639)) % 1.02/1.25 (define @t2650 () (not (= @t4 @t4))) % 1.02/1.25 (define @t2651 () (or @t1337 @t2650 @t2639)) % 1.02/1.25 (define @t2652 () (= @t1220 @t1449)) % 1.02/1.25 (define @t2653 () (or @t282 @t1903 @t282 @t2652)) % 1.02/1.25 (define @t2654 () (or @t1903 @t282 @t2652)) % 1.02/1.25 (define @t2655 () (or @t1922 @t282 @t372)) % 1.02/1.25 (define @t2656 () (or @t282 @t372)) % 1.02/1.25 (define @t2657 () (=> tptp.dsetconstr__Cong @t2619)) % 1.02/1.25 (define @t2658 () (or @t1450 (= @t1448 @t19))) % 1.02/1.25 (define @t2659 () (forall @t70 @t2658)) % 1.02/1.25 (define @t2660 () (not @t2659)) % 1.02/1.25 (define @t2661 () (or @t1235 (= @t1452 @t19))) % 1.02/1.25 (define @t2662 () (forall @t70 @t2661)) % 1.02/1.25 (define @t2663 () (not @t2662)) % 1.02/1.25 (define @t2664 () (or @t1458 @t1455 @t1453 @t2663 @t1451 @t2660)) % 1.02/1.25 (define @t2665 () (or @t1451 @t2660)) % 1.02/1.25 (define @t2666 () (or @t1453 @t2663)) % 1.02/1.25 (define @t2667 () (or @t1458 @t2666 @t2665 @t1455)) % 1.02/1.25 (define @t2668 () (forall @t1459 @t2667)) % 1.02/1.25 (define @t2669 () (forall (@list @t1452 @t1448) @t2667)) % 1.02/1.25 (define @t2670 () (forall (@list @t1448) @t2665)) % 1.02/1.25 (define @t2671 () (forall (@list @t1452) @t2666)) % 1.02/1.25 (define @t2672 () (or @t1458 @t2671 @t2670 @t1455)) % 1.02/1.25 (define @t2673 () (tptp.descr @t2643)) % 1.02/1.25 (define @t2674 () (tptp.descr @t2547)) % 1.02/1.25 (define @t2675 () (= @t2674 @t2673)) % 1.02/1.25 (define @t2676 () (or @t1458 @t1476 @t1472 @t2675)) % 1.02/1.25 (define @t2677 () (or @t1458 @t1476 @t1472 @t402)) % 1.02/1.25 (define @t2678 () (or @t1476 @t1472 @t402)) % 1.02/1.25 (define @t2679 () (=> @t1473 @t402)) % 1.02/1.25 (define @t2680 () (not @t1477)) % 1.02/1.25 (define @t2681 () (=> @t1477 @t2679)) % 1.02/1.25 (define @t2682 () (not @t367)) % 1.02/1.25 (define @t2683 () (or @t2682 @t1470)) % 1.02/1.25 (define @t2684 () (not @t371)) % 1.02/1.25 (define @t2685 () (or @t2684 @t129)) % 1.02/1.25 (define @t2686 () (_ @t368 @t19)) % 1.02/1.25 (define @t2687 () (not @t2686)) % 1.02/1.25 (define @t2688 () (or @t2687 @t129)) % 1.02/1.25 (define @t2689 () (forall @t70 @t2688)) % 1.02/1.25 (define @t2690 () (not @t2689)) % 1.02/1.25 (define @t2691 () (_ @t368 @t4)) % 1.02/1.25 (define @t2692 () (not @t2691)) % 1.02/1.25 (define @t2693 () (or @t2692 @t2690)) % 1.02/1.25 (define @t2694 () (forall @t9 @t2693)) % 1.02/1.25 (define @t2695 () (not @t2694)) % 1.02/1.25 (define @t2696 () (lambda @t150 @t1477)) % 1.02/1.25 (define @t2697 () (_ @t2696 @t368)) % 1.02/1.25 (define @t2698 () (=> @t2697 @t402)) % 1.02/1.25 (define @t2699 () (or @t315 @t1475)) % 1.02/1.25 (define @t2700 () (_ @t145 @t19)) % 1.02/1.25 (define @t2701 () (not @t2700)) % 1.02/1.25 (define @t2702 () (or @t2701 @t129)) % 1.02/1.25 (define @t2703 () (forall @t70 @t2702)) % 1.02/1.25 (define @t2704 () (not @t2703)) % 1.02/1.25 (define @t2705 () (_ @t145 @t4)) % 1.02/1.25 (define @t2706 () (not @t2705)) % 1.02/1.25 (define @t2707 () (or @t2706 @t2704)) % 1.02/1.25 (define @t2708 () (forall @t9 @t2707)) % 1.02/1.25 (define @t2709 () (not @t2708)) % 1.02/1.25 (define @t2710 () (_ @t2696 @t145)) % 1.02/1.25 (define @t2711 () (=> @t2710 @t2698)) % 1.02/1.25 (define @t2712 () (or @t2089 @t1456)) % 1.02/1.25 (define @t2713 () (or @t282 @t282 @t2652)) % 1.02/1.25 (define @t2714 () (or @t282 @t2652)) % 1.02/1.25 (define @t2715 () (forall @t9 @t2714)) % 1.02/1.25 (define @t2716 () (forall @t70 @t2715)) % 1.02/1.25 (define @t2717 () (forall @t2097 @t2714)) % 1.02/1.25 (define @t2718 () (=> @t374 @t2711)) % 1.02/1.25 (define @t2719 () (forall @t376 @t2718)) % 1.02/1.25 (define @t2720 () (and @t144 @t1474)) % 1.02/1.25 (define @t2721 () (forall @t9 (not @t2720))) % 1.02/1.25 (define @t2722 () (not @t2721)) % 1.02/1.25 (define @t2723 () (=> tptp.descr__Cong @t2657)) % 1.02/1.25 (define @t2724 () (or @t1235 (= @t1466 @t19))) % 1.02/1.25 (define @t2725 () (forall @t70 @t2724)) % 1.02/1.25 (define @t2726 () (not @t2725)) % 1.02/1.25 (define @t2727 () (or @t1467 @t2726 @t1465 @t1464 @t1463)) % 1.02/1.25 (define @t2728 () (or @t1465 @t1464 @t1463)) % 1.02/1.25 (define @t2729 () (or @t1467 @t2726)) % 1.02/1.25 (define @t2730 () (or @t2729 @t2728)) % 1.02/1.25 (define @t2731 () (forall @t1468 @t2730)) % 1.02/1.25 (define @t2732 () (forall (@list @t1466 @t1462 @t1461) @t2730)) % 1.02/1.25 (define @t2733 () (forall (@list @t1462 @t1461) @t2728)) % 1.02/1.25 (define @t2734 () (forall (@list @t1466) @t2729)) % 1.02/1.25 (define @t2735 () (or @t2734 @t2733)) % 1.02/1.25 (define @t2736 () (=> @t2710 @t344)) % 1.02/1.25 (define @t2737 () (forall @t150 @t2736)) % 1.02/1.25 (define @t2738 () (=> tptp.exuEu @t2723)) % 1.02/1.25 (define @t2739 () (=> tptp.omega__Cong @t2738)) % 1.02/1.25 (define @t2740 () (tptp.setunion @t1)) % 1.02/1.25 (define @t2741 () (or @t2577 (= @t2740 @t2740))) % 1.02/1.25 (define @t2742 () (= @t1260 @t2740)) % 1.02/1.25 (define @t2743 () (or @t443 @t443 @t2742)) % 1.02/1.25 (define @t2744 () (or @t443 @t2742)) % 1.02/1.25 (define @t2745 () (forall @t64 @t2744)) % 1.02/1.25 (define @t2746 () (forall @t41 @t2745)) % 1.02/1.25 (define @t2747 () (forall @t2591 @t2744)) % 1.02/1.25 (define @t2748 () (or @t443 @t396)) % 1.02/1.25 (define @t2749 () (=> tptp.setunion__Cong @t2739)) % 1.02/1.25 (define @t2750 () (or @t2577 (= @t1402 @t1402))) % 1.02/1.25 (define @t2751 () (= @t1316 @t1402)) % 1.02/1.25 (define @t2752 () (or @t443 @t443 @t2751)) % 1.02/1.25 (define @t2753 () (or @t443 @t2751)) % 1.02/1.25 (define @t2754 () (forall @t64 @t2753)) % 1.02/1.25 (define @t2755 () (forall @t41 @t2754)) % 1.02/1.25 (define @t2756 () (forall @t2591 @t2753)) % 1.02/1.25 (define @t2757 () (or @t443 @t392)) % 1.02/1.25 (define @t2758 () (=> tptp.powerset__Cong @t2749)) % 1.02/1.25 (define @t2759 () (@var "BOUND_VARIABLE_10249" $$unsorted)) % 1.02/1.25 (define @t2760 () (@list @t19 @t2759)) % 1.02/1.25 (define @t2761 () (tptp.setadjoin @t19 @t2759)) % 1.02/1.25 (define @t2762 () (or @t2089 (= @t2761 @t2761))) % 1.02/1.25 (define @t2763 () (= @t2761 (tptp.setadjoin @t4 @t2759))) % 1.02/1.25 (define @t2764 () (or @t282 @t282 @t2763)) % 1.02/1.25 (define @t2765 () (or @t282 @t2763)) % 1.02/1.25 (define @t2766 () (forall @t9 @t2765)) % 1.02/1.25 (define @t2767 () (forall @t2760 @t2766)) % 1.02/1.25 (define @t2768 () (forall (@list @t19 @t2759 @t4) @t2765)) % 1.02/1.25 (define @t2769 () (forall (@list @t4 @t19 @t2759) @t2765)) % 1.02/1.25 (define @t2770 () (@list @t2759)) % 1.02/1.25 (define @t2771 () (forall @t2770 @t2765)) % 1.02/1.25 (define @t2772 () (forall @t2770 @t2763)) % 1.02/1.25 (define @t2773 () (or @t282 @t2772)) % 1.02/1.25 (define @t2774 () (tptp.setadjoin @t4 @t381)) % 1.02/1.25 (define @t2775 () (tptp.setadjoin @t19 @t381)) % 1.02/1.25 (define @t2776 () (= @t2775 @t2774)) % 1.02/1.25 (define @t2777 () (forall @t751 @t2776)) % 1.02/1.25 (define @t2778 () (or @t2078 (= @t2774 @t2775))) % 1.02/1.25 (define @t2779 () (tptp.setadjoin @t4 @t289)) % 1.02/1.25 (define @t2780 () (= @t2779 @t2775)) % 1.02/1.25 (define @t2781 () (or @t2080 @t2080 @t2780)) % 1.02/1.25 (define @t2782 () (or @t2080 @t2780)) % 1.02/1.25 (define @t2783 () (forall @t2082 @t2782)) % 1.02/1.25 (define @t2784 () (forall @t751 @t2783)) % 1.02/1.25 (define @t2785 () (forall (@list @t381 @t289) @t2782)) % 1.02/1.25 (define @t2786 () (or @t2080 @t384)) % 1.02/1.25 (define @t2787 () (=> tptp.setadjoin__Cong @t2758)) % 1.02/1.25 (define @t2788 () (=> tptp.emptyset__Cong @t2787)) % 1.02/1.25 (define @t2789 () (= @t2710 @t2697)) % 1.02/1.25 (define @t2790 () (=> @t374 @t2789)) % 1.02/1.25 (define @t2791 () (forall @t376 @t2790)) % 1.02/1.25 (define @t2792 () (=> tptp.exu__Cong @t2788)) % 1.02/1.25 (define @t2793 () (=> tptp.exuE3u @t2792)) % 1.02/1.25 (define @t2794 () (@var "BOUND_VARIABLE_10123" $$unsorted)) % 1.02/1.25 (define @t2795 () (@list @t1 @t2794)) % 1.02/1.25 (define @t2796 () (tptp.in @t2794 @t1)) % 1.02/1.25 (define @t2797 () (or @t2577 (= @t2796 @t2796))) % 1.02/1.25 (define @t2798 () (= @t2796 (tptp.in @t2794 @t2))) % 1.02/1.25 (define @t2799 () (or @t443 @t443 @t2798)) % 1.02/1.25 (define @t2800 () (or @t443 @t2798)) % 1.02/1.25 (define @t2801 () (forall @t64 @t2800)) % 1.02/1.25 (define @t2802 () (forall @t2795 @t2801)) % 1.02/1.25 (define @t2803 () (forall (@list @t1 @t2794 @t2) @t2800)) % 1.02/1.25 (define @t2804 () (forall (@list @t2 @t1 @t2794) @t2800)) % 1.02/1.25 (define @t2805 () (@list @t2794)) % 1.02/1.25 (define @t2806 () (forall @t2805 @t2800)) % 1.02/1.25 (define @t2807 () (forall @t2805 @t2798)) % 1.02/1.25 (define @t2808 () (or @t443 @t2807)) % 1.02/1.25 (define @t2809 () (= @t1136 @t1236)) % 1.02/1.25 (define @t2810 () (forall @t70 @t2809)) % 1.02/1.25 (define @t2811 () (or @t2089 (= @t1236 @t1136))) % 1.02/1.25 (define @t2812 () (= @t1067 @t1136)) % 1.02/1.25 (define @t2813 () (or @t282 @t282 @t2812)) % 1.02/1.25 (define @t2814 () (or @t282 @t2812)) % 1.02/1.25 (define @t2815 () (forall @t9 @t2814)) % 1.02/1.25 (define @t2816 () (forall @t70 @t2815)) % 1.02/1.25 (define @t2817 () (forall @t2097 @t2814)) % 1.02/1.25 (define @t2818 () (or @t282 @t358)) % 1.02/1.25 (define @t2819 () (=> tptp.in__Cong @t2793)) % 1.02/1.25 (define @t2820 () (@var "BOUND_VARIABLE_10085" $$unsorted)) % 1.02/1.25 (define @t2821 () (@list @t1 @t2820)) % 1.02/1.25 (define @t2822 () (tptp.in @t2820 @t1)) % 1.02/1.25 (define @t2823 () (not @t2822)) % 1.02/1.25 (define @t2824 () (or @t2823 @t2822)) % 1.02/1.25 (define @t2825 () (or @t2577 @t2823 @t2822)) % 1.02/1.25 (define @t2826 () (not (tptp.in @t2820 @t2))) % 1.02/1.25 (define @t2827 () (or @t443 @t443 @t2826 @t2822)) % 1.02/1.25 (define @t2828 () (or @t443 @t2826 @t2822)) % 1.02/1.25 (define @t2829 () (forall @t64 @t2828)) % 1.02/1.25 (define @t2830 () (forall @t2821 @t2829)) % 1.02/1.25 (define @t2831 () (forall (@list @t1 @t2820 @t2) @t2828)) % 1.02/1.25 (define @t2832 () (@list @t2 @t1 @t2820)) % 1.02/1.25 (define @t2833 () (or @t2826 @t2822)) % 1.02/1.25 (define @t2834 () (or @t443 @t2833)) % 1.02/1.25 (define @t2835 () (forall @t2832 @t2834)) % 1.02/1.25 (define @t2836 () (@list @t2820)) % 1.02/1.25 (define @t2837 () (forall @t2836 @t2834)) % 1.02/1.25 (define @t2838 () (forall @t2836 @t2833)) % 1.02/1.25 (define @t2839 () (or @t443 @t2838)) % 1.02/1.25 (define @t2840 () (or @t1237 @t1136)) % 1.02/1.25 (define @t2841 () (forall @t70 @t2840)) % 1.02/1.25 (define @t2842 () (or @t2089 @t1237 @t1136)) % 1.02/1.25 (define @t2843 () (or @t282 @t282 @t1095 @t1136)) % 1.02/1.25 (define @t2844 () (or @t282 @t1095 @t1136)) % 1.02/1.25 (define @t2845 () (forall @t9 @t2844)) % 1.02/1.25 (define @t2846 () (forall @t70 @t2845)) % 1.02/1.25 (define @t2847 () (forall @t2097 @t2844)) % 1.02/1.25 (define @t2848 () (or @t282 @t197 @t352)) % 1.02/1.25 (define @t2849 () (=> tptp.inCongP @t2819)) % 1.02/1.25 (define @t2850 () (= @t1480 @t19)) % 1.02/1.25 (define @t2851 () (forall @t70 (= @t2850 @t1234))) % 1.02/1.25 (define @t2852 () (not @t2851)) % 1.02/1.25 (define @t2853 () (or @t2852 @t1477)) % 1.02/1.25 (define @t2854 () (forall @t1481 @t2853)) % 1.02/1.25 (define @t2855 () (@list @t1480)) % 1.02/1.25 (define @t2856 () (forall @t2855 @t2853)) % 1.02/1.25 (define @t2857 () (forall @t2855 @t2852)) % 1.02/1.25 (define @t2858 () (or @t2857 @t1477)) % 1.02/1.25 (define @t2859 () (= @t153 @t129)) % 1.02/1.25 (define @t2860 () (=> @t265 @t2710)) % 1.02/1.25 (define @t2861 () (forall @t150 @t2860)) % 1.02/1.25 (define @t2862 () (=> tptp.exuI2 @t2849)) % 1.02/1.25 (define @t2863 () (@list @t1485)) % 1.02/1.25 (define @t2864 () (forall @t2863 @t1487)) % 1.02/1.25 (define @t2865 () (forall @t2863 @t1486)) % 1.02/1.25 (define @t2866 () (or @t2865 @t1484 @t1477)) % 1.02/1.25 (define @t2867 () (or @t1594 @t1484 @t1477)) % 1.02/1.25 (define @t2868 () (=> @t1483 @t1477)) % 1.02/1.25 (define @t2869 () (=> @t344 @t2710)) % 1.02/1.25 (define @t2870 () (forall @t9 @t315)) % 1.02/1.25 (define @t2871 () (not @t2870)) % 1.02/1.25 (define @t2872 () (=> @t186 @t2869)) % 1.02/1.25 (define @t2873 () (forall @t150 @t2872)) % 1.02/1.25 (define @t2874 () (=> tptp.exuI3 @t2862)) % 1.02/1.25 (define @t2875 () (=> @t169 @t2710)) % 1.02/1.25 (define @t2876 () (forall @t150 @t2875)) % 1.02/1.25 (define @t2877 () (=> tptp.exuI1 @t2874)) % 1.02/1.25 (define @t2878 () (forall @t9 (or @t1095 @t1220))) % 1.02/1.25 (define @t2879 () (not @t2878)) % 1.02/1.25 (define @t2880 () (or @t197 @t144)) % 1.02/1.25 (define @t2881 () (forall @t9 (not @t316))) % 1.02/1.25 (define @t2882 () (not @t2881)) % 1.02/1.25 (define @t2883 () (=> tptp.notdallE @t2877)) % 1.02/1.25 (define @t2884 () (=> tptp.notdexE @t2883)) % 1.02/1.25 (define @t2885 () (or @t2077 @t1491)) % 1.02/1.25 (define @t2886 () (tptp.prop2set @t173)) % 1.02/1.25 (define @t2887 () (tptp.set2prop @t2886)) % 1.02/1.25 (define @t2888 () (not (= @t173 true))) % 1.02/1.25 (define @t2889 () (or @t2453 @t2453 @t2887)) % 1.02/1.25 (define @t2890 () (or @t2453 @t2887)) % 1.02/1.25 (define @t2891 () (or @t2453 @t337)) % 1.02/1.25 (define @t2892 () (=> tptp.prop2set2propI @t2884)) % 1.02/1.25 (define @t2893 () (or @t2077 @t1493)) % 1.02/1.25 (define @t2894 () (tptp.in tptp.emptyset @t2886)) % 1.02/1.25 (define @t2895 () (or @t2453 @t2453 @t2894)) % 1.02/1.25 (define @t2896 () (or @t2453 @t2894)) % 1.02/1.25 (define @t2897 () (or @t2453 @t334)) % 1.02/1.25 (define @t2898 () (=> tptp.prop2setI @t2892)) % 1.02/1.25 (define @t2899 () (=> tptp.quantDeMorgan4 @t2898)) % 1.02/1.25 (define @t2900 () (=> tptp.quantDeMorgan3 @t2899)) % 1.02/1.25 (define @t2901 () (=> tptp.quantDeMorgan2 @t2900)) % 1.02/1.25 (define @t2902 () (=> tptp.quantDeMorgan1 @t2901)) % 1.02/1.25 (define @t2903 () (or @t16 @t144)) % 1.02/1.25 (define @t2904 () (=> tptp.vacuousDall @t2902)) % 1.02/1.25 (define @t2905 () (or @t1501 @t1500)) % 1.02/1.25 (define @t2906 () (or @t2905 @t1502)) % 1.02/1.25 (define @t2907 () (forall @t1504 @t2906)) % 1.02/1.25 (define @t2908 () (@list @t1499)) % 1.02/1.25 (define @t2909 () (forall @t2908 @t2906)) % 1.02/1.25 (define @t2910 () (forall @t2908 @t2905)) % 1.02/1.25 (define @t2911 () (or @t2910 @t1502)) % 1.02/1.25 (define @t2912 () (= tptp.emptyset @t2548)) % 1.02/1.25 (define @t2913 () (not @t2912)) % 1.02/1.25 (define @t2914 () (or @t1244 @t2913)) % 1.02/1.25 (define @t2915 () (= tptp.emptyset @t304)) % 1.02/1.25 (define @t2916 () (not @t2915)) % 1.02/1.25 (define @t2917 () (or @t1244 @t2916)) % 1.02/1.25 (define @t2918 () (=> tptp.emptyE1 @t2904)) % 1.02/1.25 (define @t2919 () (=> tptp.upairsetIR @t2918)) % 1.02/1.25 (define @t2920 () (=> tptp.upairsetIL @t2919)) % 1.02/1.25 (define @t2921 () (=> tptp.upairsetE @t2920)) % 1.02/1.25 (define @t2922 () (not @t276)) % 1.02/1.25 (define @t2923 () (or @t2922 @t280)) % 1.02/1.25 (define @t2924 () (=> tptp.singletonsswitch @t2921)) % 1.02/1.25 (define @t2925 () (or @t2089 @t1517)) % 1.02/1.25 (define @t2926 () (or @t282 @t282 @t1513)) % 1.02/1.25 (define @t2927 () (or @t282 @t1513)) % 1.02/1.25 (define @t2928 () (forall @t9 @t2927)) % 1.02/1.25 (define @t2929 () (forall @t70 @t2928)) % 1.02/1.25 (define @t2930 () (forall @t2097 @t2927)) % 1.02/1.25 (define @t2931 () (or @t282 @t276)) % 1.02/1.25 (define @t2932 () (=> tptp.eqinunit @t2924)) % 1.02/1.25 (define @t2933 () (or @t129 @t281)) % 1.02/1.25 (define @t2934 () (=> tptp.notinsingleton @t2932)) % 1.02/1.25 (define @t2935 () (or @t2922 @t129)) % 1.02/1.25 (define @t2936 () (=> tptp.uniqinunit @t2934)) % 1.02/1.25 (define @t2937 () (not @t196)) % 1.02/1.25 (define @t2938 () (not @t198)) % 1.02/1.25 (define @t2939 () (_ @t1052 @t2)) % 1.02/1.25 (define @t2940 () (=> @t2939 @t270)) % 1.02/1.25 (define @t2941 () (forall @t64 @t2940)) % 1.02/1.25 (define @t2942 () (=> tptp.nonemptyImpWitness @t2936)) % 1.02/1.25 (define @t2943 () (or @t1235 (= @t1528 @t19))) % 1.02/1.25 (define @t2944 () (forall @t70 @t2943)) % 1.02/1.25 (define @t2945 () (not @t2944)) % 1.02/1.25 (define @t2946 () (or @t1532 @t1529 @t2945)) % 1.02/1.25 (define @t2947 () (or @t1529 @t2945)) % 1.02/1.25 (define @t2948 () (or @t2947 @t1532)) % 1.02/1.25 (define @t2949 () (forall @t1533 @t2948)) % 1.02/1.25 (define @t2950 () (@list @t1528)) % 1.02/1.25 (define @t2951 () (forall @t2950 @t2948)) % 1.02/1.25 (define @t2952 () (forall @t2950 @t2947)) % 1.02/1.25 (define @t2953 () (or @t2952 @t1532)) % 1.02/1.25 (define @t2954 () (=> @t2710 @t265)) % 1.02/1.25 (define @t2955 () (forall @t150 @t2954)) % 1.02/1.25 (define @t2956 () (=> tptp.exuE2 @t2942)) % 1.02/1.25 (define @t2957 () (or @t197 @t260)) % 1.02/1.25 (define @t2958 () (=> tptp.subPowSU @t2956)) % 1.02/1.25 (define @t2959 () (or @t2321 @t1543)) % 1.02/1.25 (define @t2960 () (and @t2448 @t1543)) % 1.02/1.25 (define @t2961 () (or @t2960 false)) % 1.02/1.25 (define @t2962 () (and @t2453 @t1543)) % 1.02/1.25 (define @t2963 () (or @t173 @t2962 @t173)) % 1.02/1.25 (define @t2964 () (or @t2962 @t173)) % 1.02/1.25 (define @t2965 () (or @t173 @t1542)) % 1.02/1.25 (define @t2966 () (not @t39)) % 1.02/1.25 (define @t2967 () (or @t435 @t2966)) % 1.02/1.25 (define @t2968 () (forall @t41 @t2967)) % 1.02/1.25 (define @t2969 () (or @t173 @t2968)) % 1.02/1.25 (define @t2970 () (or @t173 @t2967)) % 1.02/1.25 (define @t2971 () (or @t435 @t2966 @t173)) % 1.02/1.25 (define @t2972 () (=> tptp.setunionE @t2958)) % 1.02/1.25 (define @t2973 () (or @t435 @t2966 @t44)) % 1.02/1.25 (define @t2974 () (=> tptp.setunionI @t2972)) % 1.02/1.25 (define @t2975 () (or @t2556 @t435 @t7)) % 1.02/1.25 (define @t2976 () (or @t435 @t7)) % 1.02/1.25 (define @t2977 () (=> tptp.powersetE @t2974)) % 1.02/1.25 (define @t2978 () (=> tptp.emptyInPowerset @t2977)) % 1.02/1.25 (define @t2979 () (=> tptp.emptyinPowerset @t2978)) % 1.02/1.25 (define @t2980 () (or @t1555 @t35)) % 1.02/1.25 (define @t2981 () (=> tptp.powersetI @t2979)) % 1.02/1.25 (define @t2982 () (_ @t155 @t1559)) % 1.02/1.25 (define @t2983 () (= @t2 @t2982)) % 1.02/1.25 (define @t2984 () (=> tptp.setoftrueEq @t2981)) % 1.02/1.25 (define @t2985 () (not @t26)) % 1.02/1.25 (define @t2986 () (or @t2985 @t129 @t21)) % 1.02/1.25 (define @t2987 () (or @t129 @t21)) % 1.02/1.25 (define @t2988 () (=> tptp.setadjoinOr @t2984)) % 1.02/1.25 (define @t2989 () (or @t2985 @t129 @t1236)) % 1.02/1.25 (define @t2990 () (and @t1236 @t2448)) % 1.02/1.25 (define @t2991 () (and @t129 @t2448)) % 1.02/1.25 (define @t2992 () (or @t2991 @t2990)) % 1.02/1.25 (define @t2993 () (or @t2991 @t2990 false)) % 1.02/1.25 (define @t2994 () (and @t1236 @t2453)) % 1.02/1.25 (define @t2995 () (and @t129 @t2453)) % 1.02/1.25 (define @t2996 () (or @t173 @t2995 @t2994 @t173)) % 1.02/1.25 (define @t2997 () (or @t2995 @t2994 @t173)) % 1.02/1.25 (define @t2998 () (and @t21 @t2453)) % 1.02/1.25 (define @t2999 () (or @t2995 @t2998 @t173)) % 1.02/1.25 (define @t3000 () (=> @t129 @t173)) % 1.02/1.25 (define @t3001 () (=> tptp.setadjoinE @t2988)) % 1.02/1.25 (define @t3002 () (or @t2228 @t26)) % 1.02/1.25 (define @t3003 () (=> tptp.setadjoinIR @t3001)) % 1.02/1.25 (define @t3004 () (=> tptp.emptyinunitempty @t3003)) % 1.02/1.25 (define @t3005 () (=> tptp.setadjoinIL @t3004)) % 1.02/1.25 (define @t3006 () (not @t379)) % 1.02/1.25 (define @t3007 () (or @t1577 @t3006)) % 1.02/1.25 (define @t3008 () (not (tptp.in @t1576 @t2))) % 1.02/1.25 (define @t3009 () (or @t2937 @t3008 @t2937)) % 1.02/1.25 (define @t3010 () (or @t3008 @t2937)) % 1.02/1.25 (define @t3011 () (forall @t64 @t3010)) % 1.02/1.25 (define @t3012 () (forall @t1578 @t3011)) % 1.02/1.25 (define @t3013 () (forall (@list @t1576 @t2) @t3010)) % 1.02/1.25 (define @t3014 () (forall (@list @t2 @t1576) @t3010)) % 1.02/1.25 (define @t3015 () (forall @t1578 @t3010)) % 1.02/1.25 (define @t3016 () (forall @t1578 @t3008)) % 1.02/1.25 (define @t3017 () (or @t3016 @t2937)) % 1.02/1.25 (define @t3018 () (not @t1525)) % 1.02/1.25 (define @t3019 () (=> @t89 @t2939)) % 1.02/1.25 (define @t3020 () (forall @t64 @t3019)) % 1.02/1.25 (define @t3021 () (=> tptp.nonemptyI1 @t3005)) % 1.02/1.25 (define @t3022 () (= tptp.emptyset @t2282)) % 1.02/1.25 (define @t3023 () (not @t3022)) % 1.02/1.25 (define @t3024 () (or @t1095 @t1221 @t3023)) % 1.02/1.25 (define @t3025 () (= tptp.emptyset @t156)) % 1.02/1.25 (define @t3026 () (not @t3025)) % 1.02/1.25 (define @t3027 () (or @t197 @t315 @t3026)) % 1.02/1.25 (define @t3028 () (=> @t144 @t3026)) % 1.02/1.25 (define @t3029 () (not (= @t156 tptp.emptyset))) % 1.02/1.25 (define @t3030 () (_ @t1052 @t156)) % 1.02/1.25 (define @t3031 () (=> @t144 @t3030)) % 1.02/1.25 (define @t3032 () (=> @t7 @t3031)) % 1.02/1.25 (define @t3033 () (forall @t159 @t3032)) % 1.02/1.25 (define @t3034 () (=> tptp.nonemptyI @t3021)) % 1.02/1.25 (define @t3035 () (=> @t2939 @t89)) % 1.02/1.25 (define @t3036 () (forall @t64 @t3035)) % 1.02/1.25 (define @t3037 () (=> tptp.nonemptyE1 @t3034)) % 1.02/1.25 (define @t3038 () (= @t1220 @t2285)) % 1.02/1.25 (define @t3039 () (or @t1095 @t3038)) % 1.02/1.25 (define @t3040 () (= @t144 @t157)) % 1.02/1.25 (define @t3041 () (or @t197 @t3040)) % 1.02/1.25 (define @t3042 () (=> tptp.setbeta @t3037)) % 1.02/1.25 (define @t3043 () (=> tptp.noeltsimpempty @t3042)) % 1.02/1.25 (define @t3044 () (=> tptp.emptyI @t3043)) % 1.02/1.25 (define @t3045 () (=> @t1554 @t3)) % 1.02/1.25 (define @t3046 () (=> tptp.setext @t3044)) % 1.02/1.25 (define @t3047 () (or @t1235 (= @t1592 @t19))) % 1.02/1.25 (define @t3048 () (forall @t70 @t3047)) % 1.02/1.25 (define @t3049 () (not @t3048)) % 1.02/1.25 (define @t3050 () (or @t1595 @t1593 @t3049)) % 1.02/1.25 (define @t3051 () (or @t1593 @t3049)) % 1.02/1.25 (define @t3052 () (or @t3051 @t1595)) % 1.02/1.25 (define @t3053 () (forall @t1596 @t3052)) % 1.02/1.25 (define @t3054 () (@list @t1592)) % 1.02/1.25 (define @t3055 () (forall @t3054 @t3052)) % 1.02/1.25 (define @t3056 () (forall @t3054 @t3051)) % 1.02/1.25 (define @t3057 () (or @t3056 @t1595)) % 1.02/1.25 (define @t3058 () (=> @t2710 @t186)) % 1.02/1.25 (define @t3059 () (forall @t150 @t3058)) % 1.02/1.25 (define @t3060 () (=> tptp.exuE3e @t3046)) % 1.02/1.25 (define @t3061 () (=> tptp.notinemptyset @t3060)) % 1.02/1.25 (define @t3062 () (=> tptp.emptysetimpfalse @t3061)) % 1.02/1.25 (define @t3063 () (or @t173 @t173)) % 1.02/1.25 (define @t3064 () (=> tptp.emptysetE @t3062)) % 1.02/1.25 (define @t3065 () (or @t1603 false)) % 1.02/1.25 (define @t3066 () (tptp.in @t4 @t2886)) % 1.02/1.25 (define @t3067 () (not @t3066)) % 1.02/1.25 (define @t3068 () (or @t173 @t3067 @t173)) % 1.02/1.25 (define @t3069 () (or @t3067 @t173)) % 1.02/1.25 (define @t3070 () (forall @t179 @t3069)) % 1.02/1.25 (define @t3071 () (forall @t9 @t3070)) % 1.02/1.25 (define @t3072 () (forall (@list @t4 @t173) @t3069)) % 1.02/1.25 (define @t3073 () (not @t175)) % 1.02/1.25 (define @t3074 () (or @t3073 @t173)) % 1.02/1.25 (define @t3075 () (=> tptp.prop2setE @t3064)) % 1.02/1.25 (define @t3076 () (=> @t2710 @t169)) % 1.02/1.25 (define @t3077 () (forall @t150 @t3076)) % 1.02/1.25 (define @t3078 () (=> tptp.exuE1 @t3075)) % 1.02/1.25 (define @t3079 () (or @t2286 @t1220)) % 1.02/1.25 (define @t3080 () (not @t157)) % 1.02/1.25 (define @t3081 () (or @t3080 @t144)) % 1.02/1.25 (define @t3082 () (=> tptp.dsetconstrER @t3078)) % 1.02/1.25 (define @t3083 () (or @t2286 @t1067)) % 1.02/1.25 (define @t3084 () (or @t3080 @t7)) % 1.02/1.25 (define @t3085 () (=> tptp.dsetconstrEL @t3082)) % 1.02/1.25 (define @t3086 () (or @t1095 @t1221 @t2285)) % 1.02/1.25 (define @t3087 () (or @t197 @t315 @t157)) % 1.02/1.25 (define @t3088 () (=> tptp.dsetconstrI @t3085)) % 1.02/1.25 (define @t3089 () (or @t1235 (= @t1612 @t19))) % 1.02/1.25 (define @t3090 () (forall @t70 @t3089)) % 1.02/1.25 (define @t3091 () (not @t3090)) % 1.02/1.25 (define @t3092 () (or @t1614 @t1613 @t3091)) % 1.02/1.25 (define @t3093 () (or @t1613 @t3091)) % 1.02/1.25 (define @t3094 () (or @t3093 @t1614)) % 1.02/1.25 (define @t3095 () (forall @t1615 @t3094)) % 1.02/1.25 (define @t3096 () (@list @t1612)) % 1.02/1.25 (define @t3097 () (forall @t3096 @t3094)) % 1.02/1.25 (define @t3098 () (forall @t3096 @t3093)) % 1.02/1.25 (define @t3099 () (or @t3098 @t1614)) % 1.02/1.25 (define @t3100 () (_ @t143 @t2674)) % 1.02/1.25 (define @t3101 () (or @t1476 @t3100)) % 1.02/1.25 (define @t3102 () (or @t1476 @t147)) % 1.02/1.25 (define @t3103 () (=> @t2710 @t147)) % 1.02/1.25 (define @t3104 () (forall @t150 @t3103)) % 1.02/1.25 (define @t3105 () (=> tptp.descrp @t3088)) % 1.02/1.25 (define @t3106 () (and @t1665 @t1658 @t1654 @t1642)) % 1.02/1.25 (define @t3107 () (forall @t41 (not @t3106))) % 1.02/1.25 (define @t3108 () (not @t3107)) % 1.02/1.25 (define @t3109 () (@list @t1637)) % 1.02/1.25 (define @t3110 () (forall @t3109 @t1641)) % 1.02/1.25 (define @t3111 () (forall @t3109 @t1638)) % 1.02/1.25 (define @t3112 () (or @t1640 @t3111 @t1636)) % 1.02/1.25 (define @t3113 () (forall @t9 @t1633)) % 1.02/1.25 (define @t3114 () (or @t1640 @t3113 @t1636)) % 1.02/1.25 (define @t3115 () (not @t3113)) % 1.02/1.25 (define @t3116 () (and @t1639 @t3115)) % 1.02/1.25 (define @t3117 () (not @t109)) % 1.02/1.25 (define @t3118 () (not @t110)) % 1.02/1.25 (define @t3119 () (or @t3118 @t3117 @t1631 @t1627)) % 1.02/1.25 (define @t3120 () (and @t110 @t109 @t1630 @t1626)) % 1.02/1.25 (define @t3121 () (forall @t112 (not @t3120))) % 1.02/1.25 (define @t3122 () (not @t3121)) % 1.02/1.25 (define @t3123 () (or @t1620 @t1619)) % 1.02/1.25 (define @t3124 () (or @t1623 @t3123 @t1621)) % 1.02/1.25 (define @t3125 () (forall @t1625 @t3124)) % 1.02/1.25 (define @t3126 () (@list @t1618)) % 1.02/1.25 (define @t3127 () (forall @t3126 @t3124)) % 1.02/1.25 (define @t3128 () (forall @t3126 @t3123)) % 1.02/1.25 (define @t3129 () (or @t1623 @t3128 @t1621)) % 1.02/1.25 (define @t3130 () (tptp.in @t19 @t93)) % 1.02/1.25 (define @t3131 () (forall @t70 (or (not @t3130) @t1629))) % 1.02/1.25 (define @t3132 () (not @t100)) % 1.02/1.25 (define @t3133 () (or @t3132 @t3131 @t94)) % 1.02/1.25 (define @t3134 () (or @t3131 @t94)) % 1.02/1.25 (define @t3135 () (not @t97)) % 1.02/1.25 (define @t3136 () (or @t3135 @t96)) % 1.02/1.25 (define @t3137 () (not @t105)) % 1.02/1.25 (define @t3138 () (not @t96)) % 1.02/1.25 (define @t3139 () (or @t3138 @t3137)) % 1.02/1.25 (define @t3140 () (forall @t70 (not @t106))) % 1.02/1.25 (define @t3141 () (not @t3140)) % 1.02/1.25 (define @t3142 () (forall @t9 @t3117)) % 1.02/1.25 (define @t3143 () (not @t3142)) % 1.02/1.25 (define @t3144 () (or @t3117 @t7)) % 1.02/1.25 (define @t3145 () (or @t1646 @t1645)) % 1.02/1.25 (define @t3146 () (or @t1649 @t1648)) % 1.02/1.25 (define @t3147 () (or @t1651 @t1635 @t3146 @t3145)) % 1.02/1.25 (define @t3148 () (forall @t1653 @t3147)) % 1.02/1.25 (define @t3149 () (forall (@list @t1647 @t1644) @t3147)) % 1.02/1.25 (define @t3150 () (forall (@list @t1644) @t3145)) % 1.02/1.25 (define @t3151 () (forall (@list @t1647) @t3146)) % 1.02/1.25 (define @t3152 () (or @t1651 @t1635 @t3151 @t3150)) % 1.02/1.25 (define @t3153 () (tptp.in @t4 @t95)) % 1.02/1.25 (define @t3154 () (forall @t9 (or (not @t3153) @t1632))) % 1.02/1.25 (define @t3155 () (forall @t9 (or @t1633 @t3153))) % 1.02/1.25 (define @t3156 () (not @t124)) % 1.02/1.25 (define @t3157 () (or @t3156 @t3118 @t3155 @t3154)) % 1.02/1.25 (define @t3158 () (or @t3155 @t3154)) % 1.02/1.25 (define @t3159 () (not @t120)) % 1.02/1.25 (define @t3160 () (or @t3159 @t109)) % 1.02/1.25 (define @t3161 () (or @t3117 @t120)) % 1.02/1.25 (define @t3162 () (or @t197 @t2228 @t1657 @t129)) % 1.02/1.25 (define @t3163 () (=> @t1656 @t129)) % 1.02/1.25 (define @t3164 () (or @t3156 @t130)) % 1.02/1.25 (define @t3165 () (or @t1662 @t1661)) % 1.02/1.25 (define @t3166 () (or @t1651 @t3165)) % 1.02/1.25 (define @t3167 () (forall @t1664 @t3166)) % 1.02/1.25 (define @t3168 () (@list @t1660)) % 1.02/1.25 (define @t3169 () (forall @t3168 @t3166)) % 1.02/1.25 (define @t3170 () (forall @t3168 @t3165)) % 1.02/1.25 (define @t3171 () (or @t1651 @t3170)) % 1.02/1.25 (define @t3172 () (or @t3156 @t1639)) % 1.02/1.25 (define @t3173 () (=> tptp.wellorderingAx @t3105)) % 1.02/1.25 (define @t3174 () (@list @t1673)) % 1.02/1.25 (define @t3175 () (forall @t3174 @t1675)) % 1.02/1.25 (define @t3176 () (forall @t3174 @t1674)) % 1.02/1.25 (define @t3177 () (or @t3176 @t1672)) % 1.02/1.25 (define @t3178 () (or @t2966 @t1671)) % 1.02/1.25 (define @t3179 () (and @t39 @t1670)) % 1.02/1.25 (define @t3180 () (forall @t41 (not @t3179))) % 1.02/1.25 (define @t3181 () (not @t3180)) % 1.02/1.25 (define @t3182 () (or @t435 @t197)) % 1.02/1.25 (define @t3183 () (forall @t9 (not @t84))) % 1.02/1.25 (define @t3184 () (not @t3183)) % 1.02/1.25 (define @t3185 () (=> tptp.foundationAx @t3173)) % 1.02/1.25 (define @t3186 () (= @t6 @t1679)) % 1.02/1.25 (define @t3187 () (not @t68)) % 1.02/1.25 (define @t3188 () (or @t2228 @t3187)) % 1.02/1.25 (define @t3189 () (forall @t70 (not @t69))) % 1.02/1.25 (define @t3190 () (not @t3189)) % 1.02/1.25 (define @t3191 () (or @t197 @t1689)) % 1.02/1.25 (define @t3192 () (_ @t75 @t1682)) % 1.02/1.25 (define @t3193 () (not @t3192)) % 1.02/1.25 (define @t3194 () (or @t3193 @t1686)) % 1.02/1.25 (define @t3195 () (or @t1957 @t1683)) % 1.02/1.25 (define @t3196 () (_ @t77 @t19)) % 1.02/1.25 (define @t3197 () (not @t3196)) % 1.02/1.25 (define @t3198 () (or @t3197 @t1683)) % 1.02/1.25 (define @t3199 () (forall @t70 @t3198)) % 1.02/1.25 (define @t3200 () (not @t3199)) % 1.02/1.25 (define @t3201 () (_ @t77 @t1682)) % 1.02/1.25 (define @t3202 () (not @t3201)) % 1.02/1.25 (define @t3203 () (or @t3202 @t3200)) % 1.02/1.25 (define @t3204 () (forall @t1688 @t3203)) % 1.02/1.25 (define @t3205 () (not @t3204)) % 1.02/1.25 (define @t3206 () (not (_ @t143 @t1682))) % 1.02/1.25 (define @t3207 () (or @t1235 (= @t1682 @t19))) % 1.02/1.25 (define @t3208 () (forall @t70 @t3207)) % 1.02/1.25 (define @t3209 () (not @t3208)) % 1.02/1.25 (define @t3210 () (or @t3206 @t3209)) % 1.02/1.25 (define @t3211 () (forall @t1688 @t3210)) % 1.02/1.25 (define @t3212 () (not @t3211)) % 1.02/1.25 (define @t3213 () (=> @t7 (_ @t2696 @t77))) % 1.02/1.25 (define @t3214 () (forall @t9 @t3213)) % 1.02/1.25 (define @t3215 () (=> @t3214 @t74)) % 1.02/1.25 (define @t3216 () (forall @t81 @t3215)) % 1.02/1.25 (define @t3217 () (=> tptp.replAx @t3185)) % 1.02/1.25 (define @t3218 () (or @t1695 @t1694)) % 1.02/1.25 (define @t3219 () (or @t1703 @t1701 @t3218)) % 1.02/1.25 (define @t3220 () (forall @t1705 @t3219)) % 1.02/1.25 (define @t3221 () (@list @t1693)) % 1.02/1.25 (define @t3222 () (forall @t3221 @t3219)) % 1.02/1.25 (define @t3223 () (forall @t3221 @t3218)) % 1.02/1.25 (define @t3224 () (or @t1703 @t1701 @t3223)) % 1.02/1.25 (define @t3225 () (forall @t9 (or @t1699 @t1067))) % 1.02/1.25 (define @t3226 () (not @t61)) % 1.02/1.25 (define @t3227 () (or @t3226 @t1701 @t3225)) % 1.02/1.25 (define @t3228 () (and @t61 @t1700)) % 1.02/1.25 (define @t3229 () (not @t54)) % 1.02/1.25 (define @t3230 () (or @t3229 @t7)) % 1.02/1.25 (define @t3231 () (_ tptp.in @t1696)) % 1.02/1.25 (define @t3232 () (or @t3229 @t197 @t58)) % 1.02/1.25 (define @t3233 () (=> tptp.omegaIndAx @t3217)) % 1.02/1.25 (define @t3234 () (or @t3229 @t53)) % 1.02/1.25 (define @t3235 () (=> tptp.omegaSAx @t3233)) % 1.02/1.25 (define @t3236 () (=> tptp.omega0Ax @t3235)) % 1.02/1.25 (define @t3237 () (= @t44 @t1543)) % 1.02/1.25 (define @t3238 () (forall @t41 (not @t40))) % 1.02/1.25 (define @t3239 () (not @t3238)) % 1.02/1.25 (define @t3240 () (=> tptp.setunionAx @t3236)) % 1.02/1.25 (define @t3241 () (= @t35 @t1554)) % 1.02/1.25 (define @t3242 () (=> tptp.powersetAx @t3240)) % 1.02/1.25 (define @t3243 () (= @t26 @t2987)) % 1.02/1.25 (define @t3244 () (=> tptp.setadjoinAx @t3242)) % 1.02/1.25 (define @t3245 () (=> tptp.emptysetAx @t3244)) % 1.02/1.25 (define @t3246 () (=> tptp.setextAx @t3245)) % 1.02/1.25 (define @t3247 () (lambda @t751 (not (forall @t1080 (or (not (_ (_ tptp.in @t1069) @t2)) @t1914 (not (_ (_ @t67 @t1069) @t1068)) (not (= @t381 (_ (_ tptp.kpair @t1069) @t1068)))))))) % 1.02/1.25 (define @t3248 () (_ @t1065 @t3247)) % 1.02/1.25 (define @t3249 () (_ @t666 (_ @t1065 @t1083))) % 1.02/1.25 (define @t3250 () (not @t3249)) % 1.02/1.25 (define @t3251 () (or @t3250 @t7)) % 1.02/1.25 (define @t3252 () (=> @t1920 @t7)) % 1.02/1.25 (define @t3253 () (=> @t1936 @t7)) % 1.02/1.25 (define @t3254 () (forall @t863 @t3253)) % 1.02/1.25 (define @t3255 () (=> tptp.dpsetconstrERa @t3254)) % 1.02/1.25 (define @t3256 () (=> tptp.setOfPairsIsBReln @t3255)) % 1.02/1.25 (define @t3257 () (=> tptp.dpsetconstrSub @t3256)) % 1.02/1.25 (define @t3258 () (=> tptp.dpsetconstrI @t3257)) % 1.02/1.25 (define @t3259 () (=> tptp.cartprodpairsurjEq @t3258)) % 1.02/1.25 (define @t3260 () (=> tptp.cartprodsndpairEq @t3259)) % 1.02/1.25 (define @t3261 () (=> tptp.cartprodfstpairEq @t3260)) % 1.02/1.25 (define @t3262 () (=> tptp.cartprodmempaircEq @t3261)) % 1.02/1.25 (define @t3263 () (=> tptp.cartprodpairmemER @t3262)) % 1.02/1.25 (define @t3264 () (=> tptp.cartprodpairmemEL @t3263)) % 1.02/1.25 (define @t3265 () (=> tptp.cartprodsndin @t3264)) % 1.02/1.25 (define @t3266 () (=> tptp.kpairsurjEq @t3265)) % 1.02/1.25 (define @t3267 () (=> tptp.ksndpairEq @t3266)) % 1.02/1.25 (define @t3268 () (=> tptp.ksndsingleton @t3267)) % 1.02/1.25 (define @t3269 () (=> tptp.setukpairinjR @t3268)) % 1.02/1.25 (define @t3270 () (=> tptp.setukpairinjR2 @t3269)) % 1.02/1.25 (define @t3271 () (=> tptp.upairequniteq @t3270)) % 1.02/1.25 (define @t3272 () (=> tptp.setukpairinjR1 @t3271)) % 1.02/1.25 (define @t3273 () (=> tptp.setukpairinjR12 @t3272)) % 1.02/1.25 (define @t3274 () (=> tptp.setukpairinjR11 @t3273)) % 1.02/1.25 (define @t3275 () (=> tptp.setukpairinjL @t3274)) % 1.02/1.25 (define @t3276 () (=> tptp.setukpairinjL2 @t3275)) % 1.02/1.25 (define @t3277 () (=> tptp.cartprodfstin @t3276)) % 1.02/1.25 (define @t3278 () (=> tptp.kfstpairEq @t3277)) % 1.02/1.25 (define @t3279 () (=> tptp.theprop @t3278)) % 1.02/1.25 (define @t3280 () (=> tptp.kfstsingleton @t3279)) % 1.02/1.25 (define @t3281 () (=> tptp.setukpairinjL1 @t3280)) % 1.02/1.25 (define @t3282 () (=> tptp.singletonsuniq @t3281)) % 1.02/1.25 (define @t3283 () (=> tptp.ex1I2 @t3282)) % 1.02/1.25 (define @t3284 () (=> tptp.ex1I @t3283)) % 1.02/1.25 (define @t3285 () (=> tptp.ex1E1 @t3284)) % 1.02/1.25 (define @t3286 () (=> tptp.singletonprop @t3285)) % 1.02/1.25 (define @t3287 () (=> tptp.setunionsingleton @t3286)) % 1.02/1.25 (define @t3288 () (=> tptp.setunionsingleton2 @t3287)) % 1.02/1.25 (define @t3289 () (=> tptp.setunionsingleton1 @t3288)) % 1.02/1.25 (define @t3290 () (=> tptp.setunionE2 @t3289)) % 1.02/1.25 (define @t3291 () (=> tptp.cartprodmempair @t3290)) % 1.02/1.25 (define @t3292 () (=> tptp.cartprodmempair1 @t3291)) % 1.02/1.25 (define @t3293 () (=> tptp.cartprodpairin @t3292)) % 1.02/1.25 (define @t3294 () (=> tptp.ubforcartprodlem3 @t3293)) % 1.02/1.25 (define @t3295 () (=> tptp.ubforcartprodlem2 @t3294)) % 1.02/1.25 (define @t3296 () (=> tptp.ubforcartprodlem1 @t3295)) % 1.02/1.25 (define @t3297 () (=> tptp.upairinpowunion @t3296)) % 1.02/1.25 (define @t3298 () (=> tptp.upairsubunion @t3297)) % 1.02/1.25 (define @t3299 () (=> tptp.upairset2E @t3298)) % 1.02/1.25 (define @t3300 () (=> tptp.singletoninpowunion @t3299)) % 1.02/1.25 (define @t3301 () (=> tptp.singletoninpowerset @t3300)) % 1.02/1.25 (define @t3302 () (=> tptp.singletonsubset @t3301)) % 1.02/1.25 (define @t3303 () (=> tptp.kpairp @t3302)) % 1.02/1.25 (define @t3304 () (=> tptp.kpairiskpair @t3303)) % 1.02/1.25 (define @t3305 () (=> tptp.setukpairIR @t3304)) % 1.02/1.25 (define @t3306 () (=> tptp.setukpairIL @t3305)) % 1.02/1.25 (define @t3307 () (=> tptp.secondinupair @t3306)) % 1.02/1.25 (define @t3308 () (=> tptp.symdiffIneg2 @t3307)) % 1.02/1.25 (define @t3309 () (=> tptp.symdiffIneg1 @t3308)) % 1.02/1.25 (define @t3310 () (=> tptp.symdiffI2 @t3309)) % 1.02/1.25 (define @t3311 () (=> tptp.symdiffI1 @t3310)) % 1.02/1.25 (define @t3312 () (=> tptp.symdiffE @t3311)) % 1.02/1.25 (define @t3313 () (=> tptp.setminusSubset1 @t3312)) % 1.02/1.25 (define @t3314 () (=> tptp.setminusLsub @t3313)) % 1.02/1.25 (define @t3315 () (=> tptp.setminusIRneg @t3314)) % 1.02/1.25 (define @t3316 () (=> tptp.setminusILneg @t3315)) % 1.02/1.25 (define @t3317 () (=> tptp.setminusELneg @t3316)) % 1.02/1.25 (define @t3318 () (=> tptp.setminusERneg @t3317)) % 1.02/1.25 (define @t3319 () (=> tptp.setminusSubset2 @t3318)) % 1.02/1.25 (define @t3320 () (=> tptp.setminusER @t3319)) % 1.02/1.25 (define @t3321 () (=> tptp.setminusEL @t3320)) % 1.02/1.25 (define @t3322 () (=> tptp.setminusI @t3321)) % 1.02/1.25 (define @t3323 () (=> tptp.bs114d @t3322)) % 1.02/1.25 (define @t3324 () (=> tptp.binintersectSubset1 @t3323)) % 1.02/1.25 (define @t3325 () (=> tptp.binintersectSubset4 @t3324)) % 1.02/1.25 (define @t3326 () (=> tptp.binintersectRsub @t3325)) % 1.02/1.25 (define @t3327 () (=> tptp.disjointsetsI1 @t3326)) % 1.02/1.25 (define @t3328 () (=> tptp.binintersectER @t3327)) % 1.02/1.25 (define @t3329 () (=> tptp.binintersectSubset3 @t3328)) % 1.02/1.25 (define @t3330 () (=> tptp.binintersectSubset2 @t3329)) % 1.02/1.25 (define @t3331 () (=> tptp.binintersectLsub @t3330)) % 1.02/1.25 (define @t3332 () (=> tptp.binintersectEL @t3331)) % 1.02/1.25 (define @t3333 () (=> tptp.binintersectSubset5 @t3332)) % 1.02/1.25 (define @t3334 () (=> tptp.binintersectI @t3333)) % 1.02/1.25 (define @t3335 () (=> tptp.binunionRsub @t3334)) % 1.02/1.25 (define @t3336 () (=> tptp.binunionLsub @t3335)) % 1.02/1.25 (define @t3337 () (=> tptp.binunionE @t3336)) % 1.02/1.25 (define @t3338 () (=> tptp.binunionEcases @t3337)) % 1.02/1.25 (define @t3339 () (=> tptp.binunionIR @t3338)) % 1.02/1.25 (define @t3340 () (=> tptp.upairset2IR @t3339)) % 1.02/1.25 (define @t3341 () (=> tptp.binunionIL @t3340)) % 1.02/1.25 (define @t3342 () (=> tptp.sepSubset @t3341)) % 1.02/1.25 (define @t3343 () (=> tptp.sepInPowerset @t3342)) % 1.02/1.25 (define @t3344 () (=> tptp.powersetsubset @t3343)) % 1.02/1.25 (define @t3345 () (=> tptp.inPowerset @t3344)) % 1.02/1.25 (define @t3346 () (=> tptp.powersetE1 @t3345)) % 1.02/1.25 (define @t3347 () (=> tptp.powersetI1 @t3346)) % 1.02/1.25 (define @t3348 () (=> tptp.subsetemptysetimpeq @t3347)) % 1.02/1.25 (define @t3349 () (=> tptp.setextsub @t3348)) % 1.02/1.25 (define @t3350 () (=> tptp.subset2powerset @t3349)) % 1.02/1.25 (define @t3351 () (=> tptp.setadjoinSub2 @t3350)) % 1.02/1.25 (define @t3352 () (=> tptp.setadjoinSub @t3351)) % 1.02/1.25 (define @t3353 () (=> tptp.subsetTrans @t3352)) % 1.02/1.25 (define @t3354 () (=> tptp.subsetRefl @t3353)) % 1.02/1.25 (define @t3355 () (=> tptp.notequalI2 @t3354)) % 1.02/1.25 (define @t3356 () (=> tptp.notequalI1 @t3355)) % 1.02/1.25 (define @t3357 () (=> tptp.notsubsetI @t3356)) % 1.02/1.25 (define @t3358 () (=> tptp.subsetE2 @t3357)) % 1.02/1.25 (define @t3359 () (=> tptp.subsetE @t3358)) % 1.02/1.25 (define @t3360 () (=> tptp.emptysetsubset @t3359)) % 1.02/1.25 (define @t3361 () (=> tptp.subsetI2 @t3360)) % 1.02/1.25 (define @t3362 () (=> tptp.eqimpsubset1 @t3361)) % 1.02/1.25 (define @t3363 () (=> tptp.eqimpsubset2 @t3362)) % 1.02/1.25 (define @t3364 () (=> tptp.subsetI1 @t3363)) % 1.02/1.25 (define @t3365 () (=> tptp.dsetconstr__Cong @t3364)) % 1.02/1.25 (define @t3366 () (=> tptp.descr__Cong @t3365)) % 1.02/1.25 (define @t3367 () (=> tptp.exuEu @t3366)) % 1.02/1.25 (define @t3368 () (=> tptp.omega__Cong @t3367)) % 1.02/1.25 (define @t3369 () (=> tptp.setunion__Cong @t3368)) % 1.02/1.25 (define @t3370 () (=> tptp.powerset__Cong @t3369)) % 1.02/1.25 (define @t3371 () (=> tptp.setadjoin__Cong @t3370)) % 1.02/1.25 (define @t3372 () (=> tptp.emptyset__Cong @t3371)) % 1.02/1.25 (define @t3373 () (=> tptp.exu__Cong @t3372)) % 1.02/1.25 (define @t3374 () (=> tptp.exuE3u @t3373)) % 1.02/1.25 (define @t3375 () (=> tptp.in__Cong @t3374)) % 1.02/1.25 (define @t3376 () (=> tptp.inCongP @t3375)) % 1.02/1.25 (define @t3377 () (=> tptp.exuI2 @t3376)) % 1.02/1.25 (define @t3378 () (=> tptp.exuI3 @t3377)) % 1.02/1.25 (define @t3379 () (=> tptp.exuI1 @t3378)) % 1.02/1.25 (define @t3380 () (=> tptp.notdallE @t3379)) % 1.02/1.25 (define @t3381 () (=> tptp.notdexE @t3380)) % 1.02/1.25 (define @t3382 () (=> tptp.prop2set2propI @t3381)) % 1.02/1.25 (define @t3383 () (=> tptp.prop2setI @t3382)) % 1.02/1.25 (define @t3384 () (=> tptp.quantDeMorgan4 @t3383)) % 1.02/1.25 (define @t3385 () (=> tptp.quantDeMorgan3 @t3384)) % 1.02/1.25 (define @t3386 () (=> tptp.quantDeMorgan2 @t3385)) % 1.02/1.25 (define @t3387 () (=> tptp.quantDeMorgan1 @t3386)) % 1.02/1.25 (define @t3388 () (=> tptp.vacuousDall @t3387)) % 1.02/1.25 (define @t3389 () (=> tptp.emptyE1 @t3388)) % 1.02/1.25 (define @t3390 () (=> tptp.upairsetIR @t3389)) % 1.02/1.25 (define @t3391 () (=> tptp.upairsetIL @t3390)) % 1.02/1.25 (define @t3392 () (=> tptp.upairsetE @t3391)) % 1.02/1.25 (define @t3393 () (=> tptp.singletonsswitch @t3392)) % 1.02/1.25 (define @t3394 () (=> tptp.eqinunit @t3393)) % 1.02/1.25 (define @t3395 () (=> tptp.notinsingleton @t3394)) % 1.02/1.25 (define @t3396 () (=> tptp.uniqinunit @t3395)) % 1.02/1.25 (define @t3397 () (=> tptp.nonemptyImpWitness @t3396)) % 1.02/1.25 (define @t3398 () (=> tptp.exuE2 @t3397)) % 1.02/1.25 (define @t3399 () (=> tptp.subPowSU @t3398)) % 1.02/1.25 (define @t3400 () (=> tptp.setunionE @t3399)) % 1.02/1.25 (define @t3401 () (=> tptp.setunionI @t3400)) % 1.02/1.25 (define @t3402 () (=> tptp.powersetE @t3401)) % 1.02/1.25 (define @t3403 () (=> tptp.emptyInPowerset @t3402)) % 1.02/1.25 (define @t3404 () (=> tptp.emptyinPowerset @t3403)) % 1.02/1.25 (define @t3405 () (=> tptp.powersetI @t3404)) % 1.02/1.25 (define @t3406 () (=> tptp.setoftrueEq @t3405)) % 1.02/1.25 (define @t3407 () (=> tptp.setadjoinOr @t3406)) % 1.02/1.25 (define @t3408 () (=> tptp.setadjoinE @t3407)) % 1.02/1.25 (define @t3409 () (=> tptp.setadjoinIR @t3408)) % 1.02/1.25 (define @t3410 () (=> tptp.emptyinunitempty @t3409)) % 1.02/1.25 (define @t3411 () (=> tptp.setadjoinIL @t3410)) % 1.02/1.25 (define @t3412 () (=> tptp.nonemptyI1 @t3411)) % 1.02/1.25 (define @t3413 () (=> tptp.nonemptyI @t3412)) % 1.02/1.25 (define @t3414 () (=> tptp.nonemptyE1 @t3413)) % 1.02/1.25 (define @t3415 () (=> tptp.setbeta @t3414)) % 1.02/1.25 (define @t3416 () (=> tptp.noeltsimpempty @t3415)) % 1.02/1.25 (define @t3417 () (=> tptp.emptyI @t3416)) % 1.02/1.25 (define @t3418 () (=> tptp.setext @t3417)) % 1.02/1.25 (define @t3419 () (=> tptp.exuE3e @t3418)) % 1.02/1.25 (define @t3420 () (=> tptp.notinemptyset @t3419)) % 1.02/1.25 (define @t3421 () (=> tptp.emptysetimpfalse @t3420)) % 1.02/1.25 (define @t3422 () (=> tptp.emptysetE @t3421)) % 1.02/1.25 (define @t3423 () (=> tptp.prop2setE @t3422)) % 1.02/1.25 (define @t3424 () (=> tptp.exuE1 @t3423)) % 1.02/1.25 (define @t3425 () (=> tptp.dsetconstrER @t3424)) % 1.02/1.25 (define @t3426 () (=> tptp.dsetconstrEL @t3425)) % 1.02/1.25 (define @t3427 () (=> tptp.dsetconstrI @t3426)) % 1.02/1.25 (define @t3428 () (=> tptp.descrp @t3427)) % 1.02/1.25 (define @t3429 () (=> tptp.wellorderingAx @t3428)) % 1.02/1.25 (define @t3430 () (=> tptp.foundationAx @t3429)) % 1.02/1.25 (define @t3431 () (=> tptp.replAx @t3430)) % 1.02/1.25 (define @t3432 () (=> tptp.omegaIndAx @t3431)) % 1.02/1.25 (define @t3433 () (=> tptp.omegaSAx @t3432)) % 1.02/1.25 (define @t3434 () (=> tptp.omega0Ax @t3433)) % 1.02/1.25 (define @t3435 () (=> tptp.setunionAx @t3434)) % 1.02/1.25 (define @t3436 () (=> tptp.powersetAx @t3435)) % 1.02/1.25 (define @t3437 () (=> tptp.setadjoinAx @t3436)) % 1.02/1.25 (define @t3438 () (=> tptp.emptysetAx @t3437)) % 1.02/1.25 (define @t3439 () (=> tptp.setextAx @t3438)) % 1.02/1.25 (define @t3440 () (@quantifiers_skolemize @t1088 4)) % 1.02/1.25 (define @t3441 () (@quantifiers_skolemize @t1088 3)) % 1.02/1.25 (define @t3442 () (tptp.kpair @t3441 @t3440)) % 1.02/1.25 (define @t3443 () (@quantifiers_skolemize @t1088 1)) % 1.02/1.25 (define @t3444 () (@quantifiers_skolemize @t1088 0)) % 1.02/1.25 (define @t3445 () (lambda @t751 (not (forall @t1080 (or (not (tptp.in @t1069 @t3444)) (not (tptp.in @t1068 @t3443)) (not (_ (@quantifiers_skolemize @t1088 2) @t1069 @t1068)) @t1072))))) % 1.02/1.25 (define @t3446 () (@purify @t3445)) % 1.02/1.25 (define @t3447 () (tptp.cartprod @t3444 @t3443)) % 1.02/1.25 (define @t3448 () (tptp.in @t3441 @t3444)) % 1.02/1.25 (define @t3449 () (tptp.in @t3442 (tptp.dsetconstr @t3447 @t3446))) % 1.02/1.25 (define @t3450 () (not @t3449)) % 1.02/1.25 (define @t3451 () (or @t3450 @t3448)) % 1.02/1.25 (define @t3452 () (not @t3451)) % 1.02/1.25 (define @t3453 () (not @t1088)) % 1.02/1.25 (define @t3454 () (tptp.dsetconstr @t3447 @t3445)) % 1.02/1.25 (define @t3455 () (tptp.in @t3442 @t3454)) % 1.02/1.25 (define @t3456 () (not @t3455)) % 1.02/1.25 (define @t3457 () (or @t3456 @t3448)) % 1.02/1.25 (define @t3458 () (not @t3457)) % 1.02/1.25 (define @t3459 () (@list true)) % 1.02/1.25 (define @t3460 () (@list @t3451)) % 1.02/1.25 (define @t3461 () (tptp.in @t3442 @t3447)) % 1.02/1.25 (define @t3462 () (or @t3450 @t3461)) % 1.02/1.25 (define @t3463 () (@list false false)) % 1.02/1.25 (define @t3464 () (tptp.in (tptp.kfst @t3442) @t3444)) % 1.02/1.25 (define @t3465 () (not @t3461)) % 1.02/1.25 (define @t3466 () (or @t3465 @t3464)) % 1.02/1.25 (assume @p1 @t14) % 1.02/1.25 (assume @p2 @t18) % 1.02/1.25 (assume @p3 @t30) % 1.02/1.25 (assume @p4 @t38) % 1.02/1.25 (assume @p5 @t48) % 1.02/1.25 (assume @p6 (= tptp.omega0Ax @t50)) % 1.02/1.25 (assume @p7 @t56) % 1.02/1.25 (assume @p8 @t66) % 1.02/1.25 (assume @p9 @t83) % 1.02/1.25 (assume @p10 @t92) % 1.02/1.25 (assume @p11 @t142) % 1.02/1.25 (assume @p12 @t152) % 1.02/1.25 (assume @p13 @t161) % 1.02/1.25 (assume @p14 @t163) % 1.02/1.25 (assume @p15 @t165) % 1.02/1.25 (assume @p16 @t172) % 1.02/1.25 (assume @p17 @t178) % 1.02/1.25 (assume @p18 @t183) % 1.02/1.25 (assume @p19 @t185) % 1.02/1.25 (assume @p20 (= tptp.notinemptyset @t17)) % 1.02/1.25 (assume @p21 @t189) % 1.02/1.25 (assume @p22 @t195) % 1.02/1.25 (assume @p23 @t201) % 1.02/1.25 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.02/1.25 (assume @p25 @t204) % 1.02/1.25 (assume @p26 @t208) % 1.02/1.25 (assume @p27 @t212) % 1.02/1.25 (assume @p28 @t215) % 1.02/1.25 (assume @p29 @t219) % 1.02/1.25 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.02/1.25 (assume @p31 @t223) % 1.02/1.25 (assume @p32 @t231) % 1.02/1.25 (assume @p33 @t234) % 1.02/1.25 (assume @p34 @t238) % 1.02/1.25 (assume @p35 @t241) % 1.02/1.25 (assume @p36 @t244) % 1.02/1.25 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.02/1.25 (assume @p38 @t247) % 1.02/1.25 (assume @p39 @t251) % 1.02/1.25 (assume @p40 @t258) % 1.02/1.25 (assume @p41 @t262) % 1.02/1.25 (assume @p42 @t268) % 1.02/1.25 (assume @p43 @t273) % 1.02/1.25 (assume @p44 @t278) % 1.02/1.25 (assume @p45 @t284) % 1.02/1.25 (assume @p46 @t286) % 1.02/1.25 (assume @p47 @t288) % 1.02/1.25 (assume @p48 @t297) % 1.02/1.25 (assume @p49 @t300) % 1.02/1.25 (assume @p50 @t303) % 1.02/1.25 (assume @p51 @t311) % 1.02/1.25 (assume @p52 @t314) % 1.02/1.25 (assume @p53 @t322) % 1.02/1.25 (assume @p54 @t327) % 1.02/1.25 (assume @p55 @t330) % 1.02/1.25 (assume @p56 @t333) % 1.02/1.25 (assume @p57 @t336) % 1.02/1.25 (assume @p58 @t339) % 1.02/1.25 (assume @p59 (= tptp.notdexE @t329)) % 1.02/1.25 (assume @p60 (= tptp.notdallE @t321)) % 1.02/1.25 (assume @p61 @t342) % 1.02/1.25 (assume @p62 @t348) % 1.02/1.25 (assume @p63 @t351) % 1.02/1.25 (assume @p64 @t357) % 1.02/1.25 (assume @p65 @t362) % 1.02/1.25 (assume @p66 @t365) % 1.02/1.25 (assume @p67 @t378) % 1.02/1.25 (assume @p68 @t380) % 1.02/1.25 (assume @p69 @t390) % 1.02/1.25 (assume @p70 @t394) % 1.02/1.25 (assume @p71 @t398) % 1.02/1.25 (assume @p72 @t399) % 1.02/1.25 (assume @p73 @t400) % 1.02/1.25 (assume @p74 @t407) % 1.02/1.25 (assume @p75 @t418) % 1.02/1.25 (assume @p76 @t423) % 1.02/1.25 (assume @p77 @t427) % 1.02/1.25 (assume @p78 @t429) % 1.02/1.25 (assume @p79 (= tptp.subsetI2 @t422)) % 1.02/1.25 (assume @p80 @t432) % 1.02/1.25 (assume @p81 @t434) % 1.02/1.25 (assume @p82 @t438) % 1.02/1.25 (assume @p83 @t442) % 1.02/1.25 (assume @p84 @t445) % 1.02/1.25 (assume @p85 @t448) % 1.02/1.25 (assume @p86 @t451) % 1.02/1.25 (assume @p87 @t457) % 1.02/1.25 (assume @p88 @t461) % 1.02/1.25 (assume @p89 @t465) % 1.02/1.25 (assume @p90 @t469) % 1.02/1.25 (assume @p91 @t472) % 1.02/1.25 (assume @p92 @t475) % 1.02/1.25 (assume @p93 @t477) % 1.02/1.25 (assume @p94 @t479) % 1.02/1.25 (assume @p95 @t482) % 1.02/1.25 (assume @p96 @t485) % 1.02/1.25 (assume @p97 @t488) % 1.02/1.25 (assume @p98 @t491) % 1.02/1.25 (assume @p99 @t495) % 1.02/1.25 (assume @p100 (= tptp.upairset2IR @t302)) % 1.02/1.25 (assume @p101 @t497) % 1.02/1.25 (assume @p102 @t504) % 1.02/1.25 (assume @p103 @t507) % 1.02/1.25 (assume @p104 @t510) % 1.02/1.25 (assume @p105 @t513) % 1.02/1.25 (assume @p106 @t519) % 1.02/1.25 (assume @p107 @t526) % 1.02/1.25 (assume @p108 @t528) % 1.02/1.25 (assume @p109 @t532) % 1.02/1.25 (assume @p110 @t536) % 1.02/1.25 (assume @p111 @t540) % 1.02/1.25 (assume @p112 @t542) % 1.02/1.25 (assume @p113 @t548) % 1.02/1.25 (assume @p114 @t551) % 1.02/1.25 (assume @p115 @t554) % 1.02/1.25 (assume @p116 @t557) % 1.02/1.25 (assume @p117 @t564) % 1.02/1.25 (assume @p118 @t569) % 1.02/1.25 (assume @p119 @t571) % 1.02/1.25 (assume @p120 @t573) % 1.02/1.25 (assume @p121 @t577) % 1.02/1.25 (assume @p122 @t580) % 1.02/1.25 (assume @p123 @t582) % 1.02/1.25 (assume @p124 @t584) % 1.02/1.25 (assume @p125 @t586) % 1.02/1.25 (assume @p126 @t589) % 1.02/1.25 (assume @p127 @t592) % 1.02/1.25 (assume @p128 @t602) % 1.02/1.25 (assume @p129 @t605) % 1.02/1.25 (assume @p130 @t608) % 1.02/1.25 (assume @p131 @t612) % 1.02/1.25 (assume @p132 @t615) % 1.02/1.25 (assume @p133 (= tptp.secondinupair @t302)) % 1.02/1.25 (assume @p134 @t622) % 1.02/1.25 (assume @p135 @t625) % 1.02/1.25 (assume @p136 @t628) % 1.02/1.25 (assume @p137 @t633) % 1.02/1.25 (assume @p138 @t636) % 1.02/1.25 (assume @p139 @t640) % 1.02/1.25 (assume @p140 @t644) % 1.02/1.25 (assume @p141 (= tptp.upairset2E @t296)) % 1.02/1.25 (assume @p142 @t649) % 1.02/1.25 (assume @p143 @t654) % 1.02/1.25 (assume @p144 @t659) % 1.02/1.25 (assume @p145 @t665) % 1.02/1.25 (assume @p146 @t671) % 1.02/1.25 (assume @p147 @t677) % 1.02/1.25 (assume @p148 @t688) % 1.02/1.25 (assume @p149 @t691) % 1.02/1.25 (assume @p150 @t700) % 1.02/1.25 (assume @p151 @t705) % 1.02/1.25 (assume @p152 @t708) % 1.02/1.25 (assume @p153 @t711) % 1.02/1.25 (assume @p154 @t719) % 1.02/1.25 (assume @p155 @t724) % 1.02/1.25 (assume @p156 @t732) % 1.02/1.25 (assume @p157 @t736) % 1.02/1.25 (assume @p158 @t739) % 1.02/1.25 (assume @p159 @t745) % 1.02/1.25 (assume @p160 @t753) % 1.02/1.25 (assume @p161 @t758) % 1.02/1.25 (assume @p162 @t762) % 1.02/1.25 (assume @p163 @t766) % 1.02/1.25 (assume @p164 @t774) % 1.02/1.25 (assume @p165 @t778) % 1.02/1.25 (assume @p166 @t781) % 1.02/1.25 (assume @p167 @t785) % 1.02/1.25 (assume @p168 @t789) % 1.02/1.25 (assume @p169 @t792) % 1.02/1.25 (assume @p170 @t794) % 1.02/1.25 (assume @p171 @t796) % 1.02/1.25 (assume @p172 @t802) % 1.02/1.25 (assume @p173 @t806) % 1.02/1.25 (assume @p174 @t812) % 1.02/1.25 (assume @p175 @t815) % 1.02/1.25 (assume @p176 @t818) % 1.02/1.25 (assume @p177 @t820) % 1.02/1.25 (assume @p178 @t825) % 1.02/1.25 (assume @p179 @t830) % 1.02/1.25 (assume @p180 @t835) % 1.02/1.25 (assume @p181 @t838) % 1.02/1.25 (assume @p182 @t848) % 1.02/1.25 (assume @p183 @t853) % 1.02/1.25 (assume @p184 @t855) % 1.02/1.25 (assume @p185 @t861) % 1.02/1.25 (assume @p186 @t1050) % 1.02/1.25 (assume @p187 true) % 1.02/1.25 (step @p188 (= tptp.exu @t1051) :rule refl :args (@t1051)) % 1.02/1.25 (step @p189 (= tptp.nonempty @t1052) :rule refl :args (@t1052)) % 1.02/1.25 (step @p190 (= tptp.singleton @t1056) :rule refl :args (@t1056)) % 1.02/1.25 (step @p191 (= tptp.ex1 @t1057) :rule refl :args (@t1057)) % 1.02/1.25 (step @p192 (= tptp.breln @t1059) :rule refl :args (@t1059)) % 1.02/1.25 (step @p193 (= tptp.dpsetconstr @t1066) :rule refl :args (@t1066)) % 1.02/1.25 (step @p194 :rule evaluate :args ((= false true))) % 1.02/1.25 (step @p195 :rule refl :args (@t1489)) % 1.02/1.25 (step @p196 :rule skolem_intro :args ((@purify true))) % 1.02/1.25 (step @p197 :rule symm :premises (@p196)) % 1.02/1.25 (step @p198 :rule cong :premises (@p197) :args (@t1490)) % 1.02/1.25 (step @p199 :rule cong :premises (@p198) :args (@t1491)) % 1.02/1.25 (step @p200 :rule cong :premises (@p199 @p195) :args (@t1492)) % 1.02/1.25 (step @p201 :rule refl :args (tptp.emptyset)) % 1.02/1.25 (step @p202 :rule cong :premises (@p201 @p198) :args (@t1493)) % 1.02/1.25 (step @p203 :rule cong :premises (@p202 @p200) :args (@t1494)) % 1.02/1.25 (step @p204 :rule refl :args (@t1497)) % 1.02/1.25 (step @p205 :rule cong :premises (@p204 @p203) :args (@t1498)) % 1.02/1.25 (step @p206 :rule refl :args (@t1505)) % 1.02/1.25 (step @p207 :rule cong :premises (@p206 @p205) :args (@t1506)) % 1.02/1.25 (step @p208 :rule refl :args (@t1331)) % 1.02/1.25 (step @p209 :rule cong :premises (@p208 @p207) :args (@t1507)) % 1.02/1.25 (step @p210 :rule refl :args (@t1509)) % 1.02/1.25 (step @p211 :rule cong :premises (@p210 @p209) :args (@t1510)) % 1.02/1.25 (step @p212 :rule refl :args (@t1313)) % 1.02/1.25 (step @p213 :rule cong :premises (@p212 @p211) :args (@t1511)) % 1.02/1.25 (step @p214 :rule refl :args (@t1515)) % 1.02/1.25 (step @p215 :rule cong :premises (@p214 @p213) :args (@t1516)) % 1.02/1.25 (step @p216 :rule refl :args (@t1518)) % 1.02/1.25 (step @p217 :rule cong :premises (@p216 @p215) :args (@t1519)) % 1.02/1.25 (step @p218 :rule refl :args (@t1520)) % 1.02/1.25 (step @p219 :rule cong :premises (@p218 @p217) :args (@t1521)) % 1.02/1.25 (step @p220 :rule refl :args (@t1522)) % 1.02/1.25 (step @p221 :rule cong :premises (@p220 @p219) :args (@t1523)) % 1.02/1.25 (step @p222 :rule refl :args (@t1526)) % 1.02/1.25 (step @p223 :rule cong :premises (@p222 @p221) :args (@t1527)) % 1.02/1.25 (step @p224 :rule refl :args (@t1534)) % 1.02/1.25 (step @p225 :rule cong :premises (@p224 @p223) :args (@t1535)) % 1.02/1.25 (step @p226 :rule refl :args (@t1538)) % 1.02/1.25 (step @p227 :rule cong :premises (@p226 @p225) :args (@t1539)) % 1.02/1.25 (step @p228 :rule refl :args (@t1544)) % 1.02/1.25 (step @p229 :rule cong :premises (@p228 @p227) :args (@t1545)) % 1.02/1.25 (step @p230 :rule refl :args (@t1546)) % 1.02/1.25 (step @p231 :rule cong :premises (@p230 @p229) :args (@t1547)) % 1.02/1.25 (step @p232 :rule refl :args (@t1548)) % 1.02/1.25 (step @p233 :rule cong :premises (@p232 @p231) :args (@t1549)) % 1.02/1.25 (step @p234 :rule refl :args (@t1551)) % 1.02/1.25 (step @p235 :rule cong :premises (@p234 @p233) :args (@t1552)) % 1.02/1.25 (step @p236 :rule cong :premises (@p234 @p235) :args (@t1553)) % 1.02/1.25 (step @p237 :rule refl :args (@t1556)) % 1.02/1.25 (step @p238 :rule cong :premises (@p237 @p236) :args (@t1557)) % 1.02/1.25 (step @p239 :rule refl :args (@t1561)) % 1.02/1.25 (step @p240 :rule cong :premises (@p239 @p238) :args (@t1562)) % 1.02/1.25 (step @p241 :rule refl :args (@t1564)) % 1.02/1.25 (step @p242 :rule cong :premises (@p241 @p240) :args (@t1565)) % 1.02/1.25 (step @p243 :rule cong :premises (@p241 @p242) :args (@t1566)) % 1.02/1.25 (step @p244 :rule refl :args (@t1567)) % 1.02/1.25 (step @p245 :rule cong :premises (@p244 @p243) :args (@t1568)) % 1.02/1.25 (step @p246 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.02/1.25 (step @p247 :rule refl :args (@t1569)) % 1.02/1.25 (step @p248 :rule refl :args (tptp.emptyset)) % 1.02/1.25 (step @p249 :rule cong :premises (@p248 @p247) :args (@t1570)) % 1.02/1.25 (step @p250 :rule trans :premises (@p249 @p246)) % 1.02/1.25 (step @p251 :rule refl :args (@t49)) % 1.02/1.25 (step @p252 :rule ho_cong :premises (@p251 @p247)) % 1.02/1.25 (step @p253 :rule cong :premises (@p252 @p250) :args ((= (_ @t49 @t1569) @t1570))) % 1.02/1.25 (step @p254 :rule symm :premises (@p253)) % 1.02/1.25 (step @p255 :rule refl :args (@t221)) % 1.02/1.25 (step @p256 :rule eq_resolve :premises (@p255 @p254)) % 1.02/1.25 (step @p257 :rule refl :args (@t220)) % 1.02/1.25 (step @p258 :rule cong :premises (@p257 @p247) :args ((= @t220 @t1569))) % 1.02/1.25 (step @p259 :rule symm :premises (@p258)) % 1.02/1.25 (step @p260 :rule eq_resolve :premises (@p257 @p259)) % 1.02/1.25 (step @p261 :rule refl :args (@t49)) % 1.02/1.25 (step @p262 :rule ho_cong :premises (@p261 @p260)) % 1.02/1.25 (step @p263 :rule trans :premises (@p262 @p256)) % 1.02/1.25 (step @p264 :rule cong :premises (@p263 @p245) :args (@t1571)) % 1.02/1.25 (step @p265 :rule refl :args (@t1574)) % 1.02/1.25 (step @p266 :rule cong :premises (@p265 @p264) :args (@t1575)) % 1.02/1.25 (step @p267 :rule refl :args (@t1579)) % 1.02/1.25 (step @p268 :rule cong :premises (@p267 @p266) :args (@t1580)) % 1.02/1.25 (step @p269 :rule refl :args (@t1581)) % 1.02/1.25 (step @p270 :rule cong :premises (@p269 @p268) :args (@t1582)) % 1.02/1.25 (step @p271 :rule cong :premises (@p222 @p270) :args (@t1583)) % 1.02/1.25 (step @p272 :rule refl :args (@t1584)) % 1.02/1.25 (step @p273 :rule cong :premises (@p272 @p271) :args (@t1585)) % 1.02/1.25 (step @p274 :rule refl :args (@t1586)) % 1.02/1.25 (step @p275 :rule cong :premises (@p274 @p273) :args (@t1587)) % 1.02/1.25 (step @p276 :rule cong :premises (@p274 @p275) :args (@t1588)) % 1.02/1.25 (step @p277 :rule refl :args (@t1590)) % 1.02/1.25 (step @p278 :rule cong :premises (@p277 @p276) :args (@t1591)) % 1.02/1.25 (step @p279 :rule refl :args (@t1597)) % 1.02/1.25 (step @p280 :rule cong :premises (@p279 @p278) :args (@t1598)) % 1.02/1.25 (step @p281 :rule refl :args (@t1599)) % 1.02/1.25 (step @p282 :rule cong :premises (@p281 @p280) :args (@t1600)) % 1.02/1.25 (step @p283 :rule cong :premises (@p281 @p282) :args (@t1601)) % 1.02/1.25 (step @p284 :rule cong :premises (@p281 @p283) :args (@t1602)) % 1.02/1.25 (step @p285 :rule refl :args (@t1604)) % 1.02/1.25 (step @p286 :rule cong :premises (@p285 @p284) :args (@t1605)) % 1.02/1.25 (step @p287 :rule refl :args (@t1606)) % 1.02/1.25 (step @p288 :rule cong :premises (@p287 @p286) :args (@t1607)) % 1.02/1.25 (step @p289 :rule refl :args (@t1608)) % 1.02/1.25 (step @p290 :rule cong :premises (@p289 @p288) :args (@t1609)) % 1.02/1.25 (step @p291 :rule refl :args (@t1610)) % 1.02/1.25 (step @p292 :rule cong :premises (@p291 @p290) :args (@t1611)) % 1.02/1.25 (step @p293 :rule refl :args (@t1616)) % 1.02/1.25 (step @p294 :rule cong :premises (@p293 @p292) :args (@t1617)) % 1.02/1.25 (step @p295 :rule refl :args (@t1668)) % 1.02/1.25 (step @p296 :rule cong :premises (@p295 @p294) :args (@t1669)) % 1.02/1.25 (step @p297 :rule refl :args (@t1676)) % 1.02/1.25 (step @p298 :rule cong :premises (@p297 @p296) :args (@t1677)) % 1.02/1.25 (step @p299 :rule refl :args (@t1691)) % 1.02/1.25 (step @p300 :rule cong :premises (@p299 @p298) :args (@t1692)) % 1.02/1.25 (step @p301 :rule refl :args (@t1706)) % 1.02/1.25 (step @p302 :rule cong :premises (@p301 @p300) :args (@t1707)) % 1.02/1.25 (step @p303 :rule refl :args (@t1709)) % 1.02/1.25 (step @p304 :rule cong :premises (@p303 @p302) :args (@t1710)) % 1.02/1.25 (step @p305 :rule refl :args (@t1711)) % 1.02/1.25 (step @p306 :rule refl :args (@t50)) % 1.02/1.25 (step @p307 :rule cong :premises (@p306 @p305) :args ((= @t50 @t1711))) % 1.02/1.25 (step @p308 :rule symm :premises (@p307)) % 1.02/1.25 (step @p309 :rule eq_resolve :premises (@p306 @p308)) % 1.02/1.25 (step @p310 :rule cong :premises (@p309 @p304) :args (@t1712)) % 1.02/1.25 (step @p311 :rule refl :args (@t1713)) % 1.02/1.25 (step @p312 :rule cong :premises (@p311 @p310) :args (@t1714)) % 1.02/1.25 (step @p313 :rule refl :args (@t1715)) % 1.02/1.25 (step @p314 :rule cong :premises (@p313 @p312) :args (@t1716)) % 1.02/1.25 (step @p315 :rule refl :args (@t1718)) % 1.02/1.25 (step @p316 :rule cong :premises (@p315 @p314) :args (@t1719)) % 1.02/1.25 (step @p317 :rule cong :premises (@p281 @p316) :args (@t1720)) % 1.02/1.25 (step @p318 :rule refl :args (@t1722)) % 1.02/1.25 (step @p319 :rule cong :premises (@p318 @p317) :args (@t1723)) % 1.02/1.25 (step @p320 :rule cong :premises (@p319) :args ((not @t1723))) % 1.02/1.25 (step @p321 :rule bool-impl-true2 :args (@t1135)) % 1.02/1.25 (step @p322 :rule refl :args (@t1139)) % 1.02/1.25 (step @p323 :rule cong :premises (@p322 @p321) :args (@t1724)) % 1.02/1.25 (step @p324 :rule refl :args (@t1140)) % 1.02/1.25 (step @p325 :rule cong :premises (@p324 @p323) :args (@t1725)) % 1.02/1.25 (step @p326 :rule refl :args (@t1142)) % 1.02/1.25 (step @p327 :rule cong :premises (@p326 @p325) :args (@t1726)) % 1.02/1.25 (step @p328 :rule refl :args (@t1145)) % 1.02/1.25 (step @p329 :rule cong :premises (@p328 @p327) :args (@t1727)) % 1.02/1.25 (step @p330 :rule refl :args (@t1148)) % 1.02/1.25 (step @p331 :rule cong :premises (@p330 @p329) :args (@t1728)) % 1.02/1.25 (step @p332 :rule refl :args (@t1158)) % 1.02/1.25 (step @p333 :rule cong :premises (@p332 @p331) :args (@t1729)) % 1.02/1.25 (step @p334 :rule refl :args (@t1161)) % 1.02/1.25 (step @p335 :rule cong :premises (@p334 @p333) :args (@t1730)) % 1.02/1.25 (step @p336 :rule refl :args (@t1172)) % 1.02/1.25 (step @p337 :rule cong :premises (@p336 @p335) :args (@t1731)) % 1.02/1.25 (step @p338 :rule refl :args (@t1173)) % 1.02/1.25 (step @p339 :rule cong :premises (@p338 @p337) :args (@t1732)) % 1.02/1.25 (step @p340 :rule refl :args (@t1177)) % 1.02/1.25 (step @p341 :rule cong :premises (@p340 @p339) :args (@t1733)) % 1.02/1.25 (step @p342 :rule refl :args (@t1180)) % 1.02/1.25 (step @p343 :rule cong :premises (@p342 @p341) :args (@t1734)) % 1.02/1.25 (step @p344 :rule refl :args (@t1182)) % 1.02/1.25 (step @p345 :rule cong :premises (@p344 @p343) :args (@t1735)) % 1.02/1.25 (step @p346 :rule refl :args (@t1183)) % 1.02/1.25 (step @p347 :rule cong :premises (@p346 @p345) :args (@t1736)) % 1.02/1.25 (step @p348 :rule refl :args (@t1184)) % 1.02/1.25 (step @p349 :rule cong :premises (@p348 @p347) :args (@t1737)) % 1.02/1.25 (step @p350 :rule refl :args (@t1186)) % 1.02/1.25 (step @p351 :rule cong :premises (@p350 @p349) :args (@t1738)) % 1.02/1.25 (step @p352 :rule refl :args (@t1189)) % 1.02/1.25 (step @p353 :rule cong :premises (@p352 @p351) :args (@t1739)) % 1.02/1.25 (step @p354 :rule refl :args (@t1196)) % 1.02/1.25 (step @p355 :rule cong :premises (@p354 @p353) :args (@t1740)) % 1.02/1.25 (step @p356 :rule refl :args (@t1204)) % 1.02/1.25 (step @p357 :rule cong :premises (@p356 @p355) :args (@t1741)) % 1.02/1.25 (step @p358 :rule refl :args (@t1206)) % 1.02/1.25 (step @p359 :rule cong :premises (@p358 @p357) :args (@t1742)) % 1.02/1.25 (step @p360 :rule refl :args (@t1207)) % 1.02/1.25 (step @p361 :rule cong :premises (@p360 @p359) :args (@t1743)) % 1.02/1.25 (step @p362 :rule refl :args (@t1228)) % 1.02/1.25 (step @p363 :rule cong :premises (@p362 @p361) :args (@t1744)) % 1.02/1.25 (step @p364 :rule refl :args (@t1240)) % 1.02/1.25 (step @p365 :rule cong :premises (@p364 @p363) :args (@t1745)) % 1.02/1.25 (step @p366 :rule refl :args (@t1247)) % 1.02/1.25 (step @p367 :rule cong :premises (@p366 @p365) :args (@t1746)) % 1.02/1.25 (step @p368 :rule cong :premises (@p362 @p367) :args (@t1747)) % 1.02/1.25 (step @p369 :rule refl :args (@t1249)) % 1.02/1.25 (step @p370 :rule cong :premises (@p369 @p368) :args (@t1748)) % 1.02/1.25 (step @p371 :rule refl :args (@t1253)) % 1.02/1.25 (step @p372 :rule cong :premises (@p371 @p370) :args (@t1749)) % 1.02/1.25 (step @p373 :rule refl :args (@t1255)) % 1.02/1.25 (step @p374 :rule cong :premises (@p373 @p372) :args (@t1750)) % 1.02/1.25 (step @p375 :rule refl :args (@t1263)) % 1.02/1.25 (step @p376 :rule cong :premises (@p375 @p374) :args (@t1751)) % 1.02/1.25 (step @p377 :rule refl :args (@t1264)) % 1.02/1.25 (step @p378 :rule cong :premises (@p377 @p376) :args (@t1752)) % 1.02/1.25 (step @p379 :rule refl :args (@t1271)) % 1.02/1.25 (step @p380 :rule cong :premises (@p379 @p378) :args (@t1753)) % 1.02/1.25 (step @p381 :rule refl :args (@t1277)) % 1.02/1.25 (step @p382 :rule cong :premises (@p381 @p380) :args (@t1754)) % 1.02/1.25 (step @p383 :rule refl :args (@t1286)) % 1.02/1.25 (step @p384 :rule cong :premises (@p383 @p382) :args (@t1755)) % 1.02/1.25 (step @p385 :rule refl :args (@t1292)) % 1.02/1.25 (step @p386 :rule cong :premises (@p385 @p384) :args (@t1756)) % 1.02/1.25 (step @p387 :rule refl :args (@t1298)) % 1.02/1.25 (step @p388 :rule cong :premises (@p387 @p386) :args (@t1757)) % 1.02/1.25 (step @p389 :rule refl :args (@t1304)) % 1.02/1.25 (step @p390 :rule cong :premises (@p389 @p388) :args (@t1758)) % 1.02/1.25 (step @p391 :rule refl :args (@t1310)) % 1.02/1.25 (step @p392 :rule cong :premises (@p391 @p390) :args (@t1759)) % 1.02/1.25 (step @p393 :rule cong :premises (@p212 @p392) :args (@t1760)) % 1.02/1.25 (step @p394 :rule refl :args (@t1315)) % 1.02/1.25 (step @p395 :rule cong :premises (@p394 @p393) :args (@t1761)) % 1.02/1.25 (step @p396 :rule refl :args (@t1318)) % 1.02/1.25 (step @p397 :rule cong :premises (@p396 @p395) :args (@t1762)) % 1.02/1.25 (step @p398 :rule refl :args (@t1320)) % 1.02/1.25 (step @p399 :rule cong :premises (@p398 @p397) :args (@t1763)) % 1.02/1.25 (step @p400 :rule refl :args (@t1322)) % 1.02/1.25 (step @p401 :rule cong :premises (@p400 @p399) :args (@t1764)) % 1.02/1.25 (step @p402 :rule refl :args (@t1324)) % 1.02/1.25 (step @p403 :rule cong :premises (@p402 @p401) :args (@t1765)) % 1.02/1.25 (step @p404 :rule refl :args (@t1327)) % 1.02/1.25 (step @p405 :rule cong :premises (@p404 @p403) :args (@t1766)) % 1.02/1.25 (step @p406 :rule refl :args (@t1329)) % 1.02/1.25 (step @p407 :rule cong :premises (@p406 @p405) :args (@t1767)) % 1.02/1.25 (step @p408 :rule cong :premises (@p208 @p407) :args (@t1768)) % 1.02/1.25 (step @p409 :rule refl :args (@t1336)) % 1.02/1.25 (step @p410 :rule cong :premises (@p409 @p408) :args (@t1769)) % 1.02/1.25 (step @p411 :rule refl :args (@t1338)) % 1.02/1.25 (step @p412 :rule cong :premises (@p411 @p410) :args (@t1770)) % 1.02/1.25 (step @p413 :rule refl :args (@t1339)) % 1.02/1.25 (step @p414 :rule cong :premises (@p413 @p412) :args (@t1771)) % 1.02/1.25 (step @p415 :rule refl :args (@t1340)) % 1.02/1.25 (step @p416 :rule cong :premises (@p415 @p414) :args (@t1772)) % 1.02/1.25 (step @p417 :rule refl :args (@t1343)) % 1.02/1.25 (step @p418 :rule cong :premises (@p417 @p416) :args (@t1773)) % 1.02/1.25 (step @p419 :rule refl :args (@t1347)) % 1.02/1.25 (step @p420 :rule cong :premises (@p419 @p418) :args (@t1774)) % 1.02/1.25 (step @p421 :rule refl :args (@t1349)) % 1.02/1.25 (step @p422 :rule cong :premises (@p421 @p420) :args (@t1775)) % 1.02/1.25 (step @p423 :rule refl :args (@t1352)) % 1.02/1.25 (step @p424 :rule cong :premises (@p423 @p422) :args (@t1776)) % 1.02/1.25 (step @p425 :rule refl :args (@t1353)) % 1.02/1.25 (step @p426 :rule cong :premises (@p425 @p424) :args (@t1777)) % 1.02/1.25 (step @p427 :rule refl :args (@t1354)) % 1.02/1.25 (step @p428 :rule cong :premises (@p427 @p426) :args (@t1778)) % 1.02/1.25 (step @p429 :rule refl :args (@t1355)) % 1.02/1.25 (step @p430 :rule cong :premises (@p429 @p428) :args (@t1779)) % 1.02/1.25 (step @p431 :rule refl :args (@t1357)) % 1.02/1.25 (step @p432 :rule cong :premises (@p431 @p430) :args (@t1780)) % 1.02/1.25 (step @p433 :rule refl :args (@t1358)) % 1.02/1.25 (step @p434 :rule cong :premises (@p433 @p432) :args (@t1781)) % 1.02/1.25 (step @p435 :rule refl :args (@t1359)) % 1.02/1.25 (step @p436 :rule cong :premises (@p435 @p434) :args (@t1782)) % 1.02/1.25 (step @p437 :rule refl :args (@t1360)) % 1.02/1.25 (step @p438 :rule cong :premises (@p437 @p436) :args (@t1783)) % 1.02/1.25 (step @p439 :rule refl :args (@t1366)) % 1.02/1.25 (step @p440 :rule cong :premises (@p439 @p438) :args (@t1784)) % 1.02/1.25 (step @p441 :rule refl :args (@t1368)) % 1.02/1.25 (step @p442 :rule cong :premises (@p441 @p440) :args (@t1785)) % 1.02/1.25 (step @p443 :rule refl :args (@t1372)) % 1.02/1.25 (step @p444 :rule cong :premises (@p443 @p442) :args (@t1786)) % 1.02/1.25 (step @p445 :rule refl :args (@t1374)) % 1.02/1.25 (step @p446 :rule cong :premises (@p445 @p444) :args (@t1787)) % 1.02/1.25 (step @p447 :rule refl :args (@t1377)) % 1.02/1.25 (step @p448 :rule cong :premises (@p447 @p446) :args (@t1788)) % 1.02/1.25 (step @p449 :rule refl :args (@t1380)) % 1.02/1.25 (step @p450 :rule cong :premises (@p449 @p448) :args (@t1789)) % 1.02/1.25 (step @p451 :rule refl :args (@t1381)) % 1.02/1.25 (step @p452 :rule cong :premises (@p451 @p450) :args (@t1790)) % 1.02/1.25 (step @p453 :rule refl :args (@t1382)) % 1.02/1.25 (step @p454 :rule cong :premises (@p453 @p452) :args (@t1791)) % 1.02/1.25 (step @p455 :rule refl :args (@t1384)) % 1.02/1.25 (step @p456 :rule cong :premises (@p455 @p454) :args (@t1792)) % 1.02/1.25 (step @p457 :rule refl :args (@t1385)) % 1.02/1.25 (step @p458 :rule cong :premises (@p457 @p456) :args (@t1793)) % 1.02/1.25 (step @p459 :rule refl :args (@t1389)) % 1.02/1.25 (step @p460 :rule cong :premises (@p459 @p458) :args (@t1794)) % 1.02/1.25 (step @p461 :rule refl :args (@t1390)) % 1.02/1.25 (step @p462 :rule cong :premises (@p461 @p460) :args (@t1795)) % 1.02/1.25 (step @p463 :rule refl :args (@t1392)) % 1.02/1.25 (step @p464 :rule cong :premises (@p463 @p462) :args (@t1796)) % 1.02/1.25 (step @p465 :rule refl :args (@t1394)) % 1.02/1.25 (step @p466 :rule cong :premises (@p465 @p464) :args (@t1797)) % 1.02/1.25 (step @p467 :rule refl :args (@t1397)) % 1.02/1.25 (step @p468 :rule cong :premises (@p467 @p466) :args (@t1798)) % 1.02/1.25 (step @p469 :rule cong :premises (@p467 @p468) :args (@t1799)) % 1.02/1.25 (step @p470 :rule refl :args (@t1398)) % 1.02/1.25 (step @p471 :rule cong :premises (@p470 @p469) :args (@t1800)) % 1.02/1.25 (step @p472 :rule cong :premises (@p208 @p471) :args (@t1801)) % 1.02/1.25 (step @p473 :rule refl :args (@t1399)) % 1.02/1.25 (step @p474 :rule cong :premises (@p473 @p472) :args (@t1802)) % 1.02/1.25 (step @p475 :rule refl :args (@t1400)) % 1.02/1.25 (step @p476 :rule cong :premises (@p475 @p474) :args (@t1803)) % 1.02/1.25 (step @p477 :rule refl :args (@t1401)) % 1.02/1.25 (step @p478 :rule cong :premises (@p477 @p476) :args (@t1804)) % 1.02/1.25 (step @p479 :rule refl :args (@t1404)) % 1.02/1.25 (step @p480 :rule cong :premises (@p479 @p478) :args (@t1805)) % 1.02/1.25 (step @p481 :rule refl :args (@t1406)) % 1.02/1.25 (step @p482 :rule cong :premises (@p481 @p480) :args (@t1806)) % 1.02/1.25 (step @p483 :rule refl :args (@t1409)) % 1.02/1.25 (step @p484 :rule cong :premises (@p483 @p482) :args (@t1807)) % 1.02/1.25 (step @p485 :rule refl :args (@t1410)) % 1.02/1.25 (step @p486 :rule cong :premises (@p485 @p484) :args (@t1808)) % 1.02/1.25 (step @p487 :rule refl :args (@t1412)) % 1.02/1.25 (step @p488 :rule cong :premises (@p487 @p486) :args (@t1809)) % 1.02/1.25 (step @p489 :rule refl :args (@t1413)) % 1.02/1.25 (step @p490 :rule cong :premises (@p489 @p488) :args (@t1810)) % 1.02/1.25 (step @p491 :rule refl :args (@t1415)) % 1.02/1.25 (step @p492 :rule cong :premises (@p491 @p490) :args (@t1811)) % 1.02/1.25 (step @p493 :rule refl :args (@t1418)) % 1.02/1.25 (step @p494 :rule cong :premises (@p493 @p492) :args (@t1812)) % 1.02/1.25 (step @p495 :rule refl :args (@t1421)) % 1.02/1.25 (step @p496 :rule cong :premises (@p495 @p494) :args (@t1813)) % 1.02/1.25 (step @p497 :rule refl :args (@t1424)) % 1.02/1.25 (step @p498 :rule cong :premises (@p497 @p496) :args (@t1814)) % 1.02/1.25 (step @p499 :rule refl :args (@t1426)) % 1.02/1.25 (step @p500 :rule cong :premises (@p499 @p498) :args (@t1815)) % 1.02/1.25 (step @p501 :rule bool-impl-true2 :args (@t1815)) % 1.02/1.25 (step @p502 :rule trans :premises (@p501 @p500)) % 1.02/1.25 (step @p503 :rule refl :args (@t1428)) % 1.02/1.25 (step @p504 :rule cong :premises (@p503 @p502) :args (@t1816)) % 1.02/1.25 (step @p505 :rule refl :args (@t1429)) % 1.02/1.25 (step @p506 :rule cong :premises (@p505 @p504) :args (@t1817)) % 1.02/1.25 (step @p507 :rule refl :args (@t1430)) % 1.02/1.25 (step @p508 :rule cong :premises (@p507 @p506) :args (@t1818)) % 1.02/1.25 (step @p509 :rule refl :args (@t1431)) % 1.02/1.25 (step @p510 :rule cong :premises (@p509 @p508) :args (@t1819)) % 1.02/1.25 (step @p511 :rule refl :args (@t1433)) % 1.02/1.25 (step @p512 :rule cong :premises (@p511 @p510) :args (@t1820)) % 1.02/1.25 (step @p513 :rule refl :args (@t1436)) % 1.02/1.25 (step @p514 :rule cong :premises (@p513 @p512) :args (@t1821)) % 1.02/1.25 (step @p515 :rule cong :premises (@p503 @p514) :args (@t1822)) % 1.02/1.25 (step @p516 :rule cong :premises (@p503 @p515) :args (@t1823)) % 1.02/1.25 (step @p517 :rule cong :premises (@p513 @p516) :args (@t1824)) % 1.02/1.25 (step @p518 :rule refl :args (@t1447)) % 1.02/1.25 (step @p519 :rule cong :premises (@p518 @p517) :args (@t1825)) % 1.02/1.25 (step @p520 :rule refl :args (@t1460)) % 1.02/1.25 (step @p521 :rule cong :premises (@p520 @p519) :args (@t1826)) % 1.02/1.25 (step @p522 :rule refl :args (@t1469)) % 1.02/1.25 (step @p523 :rule cong :premises (@p522 @p521) :args (@t1827)) % 1.02/1.25 (step @p524 :rule bool-impl-true2 :args (@t1827)) % 1.02/1.25 (step @p525 :rule trans :premises (@p524 @p523)) % 1.02/1.25 (step @p526 :rule bool-impl-true2 :args (@t1827)) % 1.02/1.25 (step @p527 :rule refl :args (true)) % 1.02/1.25 (step @p528 :rule cong :premises (@p527 @p526) :args (@t1828)) % 1.02/1.25 (step @p529 :rule trans :premises (@p528 @p525)) % 1.02/1.25 (step @p530 :rule cong :premises (@p527 @p526) :args (@t1828)) % 1.02/1.25 (step @p531 :rule cong :premises (@p527 @p530) :args (@t1829)) % 1.02/1.25 (step @p532 :rule trans :premises (@p531 @p529)) % 1.02/1.25 (step @p533 :rule cong :premises (@p527 @p530) :args (@t1829)) % 1.02/1.25 (step @p534 :rule cong :premises (@p527 @p533) :args (@t1830)) % 1.02/1.25 (step @p535 :rule trans :premises (@p534 @p532)) % 1.02/1.25 (step @p536 :rule cong :premises (@p527 @p533) :args (@t1830)) % 1.02/1.25 (step @p537 :rule cong :premises (@p527 @p536) :args (@t1831)) % 1.02/1.25 (step @p538 :rule trans :premises (@p537 @p535)) % 1.02/1.25 (step @p539 :rule refl :args (@t1479)) % 1.02/1.25 (step @p540 :rule cong :premises (@p539 @p538) :args (@t1832)) % 1.02/1.25 (step @p541 :rule cong :premises (@p522 @p540) :args (@t1833)) % 1.02/1.25 (step @p542 :rule bool-impl-true2 :args (@t1833)) % 1.02/1.25 (step @p543 :rule trans :premises (@p542 @p541)) % 1.02/1.25 (step @p544 :rule bool-impl-true2 :args (@t1833)) % 1.02/1.25 (step @p545 :rule cong :premises (@p527 @p544) :args (@t1834)) % 1.02/1.25 (step @p546 :rule trans :premises (@p545 @p543)) % 1.02/1.25 (step @p547 :rule refl :args (@t1482)) % 1.02/1.25 (step @p548 :rule cong :premises (@p547 @p546) :args (@t1835)) % 1.02/1.25 (step @p549 :rule refl :args (@t1488)) % 1.02/1.25 (step @p550 :rule cong :premises (@p549 @p548) :args (@t1836)) % 1.02/1.25 (step @p551 :rule bool-impl-true2 :args (@t1836)) % 1.02/1.25 (step @p552 :rule trans :premises (@p551 @p550)) % 1.02/1.25 (step @p553 :rule bool-impl-true2 :args (@t1836)) % 1.02/1.25 (step @p554 :rule cong :premises (@p527 @p553) :args (@t1837)) % 1.02/1.25 (step @p555 :rule trans :premises (@p554 @p552)) % 1.02/1.25 (step @p556 :rule cong :premises (@p527 @p553) :args (@t1837)) % 1.02/1.25 (step @p557 :rule cong :premises (@p527 @p556) :args (@t1838)) % 1.02/1.25 (step @p558 :rule trans :premises (@p557 @p555)) % 1.02/1.25 (step @p559 :rule refl :args (@t1491)) % 1.02/1.25 (step @p560 :rule cong :premises (@p559 @p558) :args (@t1839)) % 1.02/1.25 (step @p561 :rule refl :args (@t1493)) % 1.02/1.25 (step @p562 :rule cong :premises (@p561 @p560) :args (@t1840)) % 1.02/1.25 (step @p563 :rule bool-impl-true2 :args (@t1840)) % 1.02/1.25 (step @p564 :rule trans :premises (@p563 @p562)) % 1.02/1.25 (step @p565 :rule bool-impl-true2 :args (@t1840)) % 1.02/1.25 (step @p566 :rule cong :premises (@p527 @p565) :args (@t1841)) % 1.02/1.25 (step @p567 :rule trans :premises (@p566 @p564)) % 1.02/1.25 (step @p568 :rule cong :premises (@p527 @p565) :args (@t1841)) % 1.02/1.25 (step @p569 :rule cong :premises (@p527 @p568) :args (@t1842)) % 1.02/1.25 (step @p570 :rule trans :premises (@p569 @p567)) % 1.02/1.25 (step @p571 :rule cong :premises (@p527 @p568) :args (@t1842)) % 1.02/1.25 (step @p572 :rule cong :premises (@p527 @p571) :args (@t1843)) % 1.02/1.25 (step @p573 :rule trans :premises (@p572 @p570)) % 1.02/1.25 (step @p574 :rule cong :premises (@p204 @p573) :args (@t1844)) % 1.02/1.25 (step @p575 :rule cong :premises (@p206 @p574) :args (@t1845)) % 1.02/1.25 (step @p576 :rule cong :premises (@p208 @p575) :args (@t1846)) % 1.02/1.25 (step @p577 :rule cong :premises (@p210 @p576) :args (@t1847)) % 1.02/1.25 (step @p578 :rule cong :premises (@p212 @p577) :args (@t1848)) % 1.02/1.25 (step @p579 :rule cong :premises (@p214 @p578) :args (@t1849)) % 1.02/1.25 (step @p580 :rule cong :premises (@p216 @p579) :args (@t1850)) % 1.02/1.25 (step @p581 :rule cong :premises (@p218 @p580) :args (@t1851)) % 1.02/1.25 (step @p582 :rule cong :premises (@p220 @p581) :args (@t1852)) % 1.02/1.25 (step @p583 :rule cong :premises (@p222 @p582) :args (@t1853)) % 1.02/1.25 (step @p584 :rule cong :premises (@p224 @p583) :args (@t1854)) % 1.02/1.25 (step @p585 :rule cong :premises (@p226 @p584) :args (@t1855)) % 1.02/1.25 (step @p586 :rule cong :premises (@p228 @p585) :args (@t1856)) % 1.02/1.25 (step @p587 :rule cong :premises (@p230 @p586) :args (@t1857)) % 1.02/1.25 (step @p588 :rule cong :premises (@p232 @p587) :args (@t1858)) % 1.02/1.25 (step @p589 :rule cong :premises (@p234 @p588) :args (@t1859)) % 1.02/1.25 (step @p590 :rule cong :premises (@p234 @p589) :args (@t1860)) % 1.02/1.25 (step @p591 :rule cong :premises (@p237 @p590) :args (@t1861)) % 1.02/1.25 (step @p592 :rule cong :premises (@p239 @p591) :args (@t1862)) % 1.02/1.25 (step @p593 :rule cong :premises (@p241 @p592) :args (@t1863)) % 1.02/1.25 (step @p594 :rule cong :premises (@p241 @p593) :args (@t1864)) % 1.02/1.25 (step @p595 :rule cong :premises (@p244 @p594) :args (@t1865)) % 1.02/1.25 (step @p596 :rule refl :args (@t221)) % 1.02/1.25 (step @p597 :rule cong :premises (@p596 @p595) :args (@t1866)) % 1.02/1.25 (step @p598 :rule cong :premises (@p265 @p597) :args (@t1867)) % 1.02/1.25 (step @p599 :rule cong :premises (@p267 @p598) :args (@t1868)) % 1.02/1.25 (step @p600 :rule cong :premises (@p269 @p599) :args (@t1869)) % 1.02/1.25 (step @p601 :rule cong :premises (@p222 @p600) :args (@t1870)) % 1.02/1.25 (step @p602 :rule cong :premises (@p272 @p601) :args (@t1871)) % 1.02/1.25 (step @p603 :rule cong :premises (@p274 @p602) :args (@t1872)) % 1.02/1.25 (step @p604 :rule cong :premises (@p274 @p603) :args (@t1873)) % 1.02/1.25 (step @p605 :rule cong :premises (@p277 @p604) :args (@t1874)) % 1.02/1.25 (step @p606 :rule cong :premises (@p279 @p605) :args (@t1875)) % 1.02/1.25 (step @p607 :rule cong :premises (@p281 @p606) :args (@t1876)) % 1.02/1.25 (step @p608 :rule cong :premises (@p281 @p607) :args (@t1877)) % 1.02/1.25 (step @p609 :rule cong :premises (@p281 @p608) :args (@t1878)) % 1.02/1.25 (step @p610 :rule cong :premises (@p285 @p609) :args (@t1879)) % 1.02/1.25 (step @p611 :rule bool-impl-true2 :args (@t1879)) % 1.02/1.25 (step @p612 :rule trans :premises (@p611 @p610)) % 1.02/1.25 (step @p613 :rule cong :premises (@p287 @p612) :args (@t1880)) % 1.02/1.25 (step @p614 :rule cong :premises (@p289 @p613) :args (@t1881)) % 1.02/1.25 (step @p615 :rule cong :premises (@p291 @p614) :args (@t1882)) % 1.02/1.25 (step @p616 :rule cong :premises (@p293 @p615) :args (@t1883)) % 1.02/1.25 (step @p617 :rule cong :premises (@p295 @p616) :args (@t1884)) % 1.02/1.25 (step @p618 :rule cong :premises (@p297 @p617) :args (@t1885)) % 1.02/1.25 (step @p619 :rule cong :premises (@p299 @p618) :args (@t1886)) % 1.02/1.25 (step @p620 :rule cong :premises (@p301 @p619) :args (@t1887)) % 1.02/1.25 (step @p621 :rule cong :premises (@p303 @p620) :args (@t1888)) % 1.02/1.25 (step @p622 :rule refl :args (@t50)) % 1.02/1.25 (step @p623 :rule cong :premises (@p622 @p621) :args (@t1889)) % 1.02/1.25 (step @p624 :rule cong :premises (@p311 @p623) :args (@t1890)) % 1.02/1.25 (step @p625 :rule cong :premises (@p313 @p624) :args (@t1891)) % 1.02/1.25 (step @p626 :rule cong :premises (@p315 @p625) :args (@t1892)) % 1.02/1.25 (step @p627 :rule cong :premises (@p281 @p626) :args (@t1893)) % 1.02/1.25 (step @p628 :rule cong :premises (@p318 @p627) :args (@t1894)) % 1.02/1.25 (step @p629 :rule cong :premises (@p628) :args ((not @t1894))) % 1.02/1.25 (step @p630 :rule refl :args (@t1088)) % 1.02/1.25 (step @p631 :rule aci_norm :args ((= @t1896 @t1096))) % 1.02/1.25 (step @p632 :rule cong :premises (@p631) :args (@t1897)) % 1.02/1.25 (step @p633 :rule quant-merge-prenex :args ((= (forall @t846 @t1899) @t1897))) % 1.02/1.25 (step @p634 :rule alpha_equiv :args (@t1900 (@list @t1089) @t1901)) % 1.02/1.25 (step @p635 :rule refl :args (@t1095)) % 1.02/1.25 (step @p636 :rule nary_cong :premises (@p635 @p634) :args (@t1902)) % 1.02/1.25 (step @p637 :rule quant-miniscope-or :args ((= @t1899 @t1902))) % 1.02/1.25 (step @p638 :rule trans :premises (@p637 @p636)) % 1.02/1.25 (step @p639 :rule symm :premises (@p638)) % 1.02/1.25 (step @p640 :rule cong :premises (@p639) :args ((forall @t846 (or @t1095 @t1904)))) % 1.02/1.25 (step @p641 :rule trans :premises (@p640 @p633)) % 1.02/1.25 (step @p642 :rule trans :premises (@p641 @p632)) % 1.02/1.25 (step @p643 :rule refl :args (@t1904)) % 1.02/1.25 (step @p644 :rule refl :args (@t1067)) % 1.02/1.25 (step @p645 :rule refl :args (@t7)) % 1.02/1.25 (step @p646 :rule cong :premises (@p645 @p644) :args ((= @t7 @t1067))) % 1.02/1.25 (step @p647 :rule symm :premises (@p646)) % 1.02/1.25 (step @p648 :rule eq_resolve :premises (@p645 @p647)) % 1.02/1.25 (step @p649 :rule cong :premises (@p648) :args (@t197)) % 1.02/1.25 (step @p650 :rule nary_cong :premises (@p649 @p643) :args (@t1905)) % 1.02/1.25 (step @p651 :rule cong :premises (@p650) :args ((forall @t846 @t1905))) % 1.02/1.25 (step @p652 :rule trans :premises (@p651 @p642)) % 1.02/1.25 (step @p653 :rule bool-impl-elim :args (@t7 @t1904)) % 1.02/1.25 (step @p654 :rule cong :premises (@p653) :args ((forall @t846 (=> @t7 @t1904)))) % 1.02/1.25 (step @p655 :rule trans :premises (@p654 @p652)) % 1.02/1.25 (step @p656 :rule refl :args (@t1684)) % 1.02/1.25 (step @p657 :rule alpha_equiv :args (@t1105 @t1906 (@list @t1091))) % 1.02/1.25 (step @p658 :rule cong :premises (@p657) :args (@t1106)) % 1.02/1.25 (step @p659 :rule cong :premises (@p658) :args (@t1107)) % 1.02/1.25 (step @p660 :rule refl :args (@t1084)) % 1.02/1.25 (step @p661 :rule cong :premises (@p660 @p659) :args (@t1108)) % 1.02/1.25 (step @p662 :rule refl :args (@t1086)) % 1.02/1.25 (step @p663 :rule cong :premises (@p662 @p661) :args (@t1907)) % 1.02/1.25 (step @p664 :rule cong :premises (@p663) :args (@t1908)) % 1.02/1.25 (step @p665 :rule refl :args (@t1903)) % 1.02/1.25 (step @p666 :rule nary_cong :premises (@p665 @p664 @p656) :args (@t1909)) % 1.02/1.25 (step @p667 :rule cong :premises (@p666) :args (@t1910)) % 1.02/1.25 (step @p668 :rule cong :premises (@p645 @p667) :args (@t1911)) % 1.02/1.25 (step @p669 :rule cong :premises (@p668) :args ((forall @t846 @t1911))) % 1.02/1.25 (step @p670 :rule trans :premises (@p669 @p655)) % 1.02/1.25 (step @p671 :rule refl :args (@t1684)) % 1.02/1.25 (step @p672 :rule refl :args (@t76)) % 1.02/1.25 (step @p673 :rule cong :premises (@p672 @p671) :args ((= @t76 @t1684))) % 1.02/1.25 (step @p674 :rule symm :premises (@p673)) % 1.02/1.25 (step @p675 :rule eq_resolve :premises (@p672 @p674)) % 1.02/1.25 (step @p676 :rule refl :args ((tptp.in @t630 @t1916))) % 1.02/1.25 (step @p677 :rule refl :args ((tptp.dsetconstr @t672 @t1915))) % 1.02/1.25 (step @p678 :rule refl :args (@t1098)) % 1.02/1.25 (step @p679 :rule refl :args (@t381)) % 1.02/1.25 (step @p680 :rule cong :premises (@p679 @p678) :args (@t1099)) % 1.02/1.25 (step @p681 :rule cong :premises (@p680) :args (@t1100)) % 1.02/1.25 (step @p682 :rule refl :args (@t1101)) % 1.02/1.25 (step @p683 :rule cong :premises (@p682) :args (@t1102)) % 1.02/1.25 (step @p684 :rule refl :args (@t1075)) % 1.02/1.25 (step @p685 :rule cong :premises (@p684) :args (@t1076)) % 1.02/1.25 (step @p686 :rule cong :premises (@p644) :args (@t1095)) % 1.02/1.25 (step @p687 :rule nary_cong :premises (@p686 @p685 @p683 @p681) :args (@t1103)) % 1.02/1.25 (step @p688 :rule cong :premises (@p687) :args (@t1105)) % 1.02/1.25 (step @p689 :rule cong :premises (@p688) :args (@t1106)) % 1.02/1.25 (step @p690 :rule cong :premises (@p689) :args (@t1107)) % 1.02/1.25 (step @p691 :rule refl :args (@t1084)) % 1.02/1.25 (step @p692 :rule cong :premises (@p691 @p690) :args (@t1108)) % 1.02/1.25 (step @p693 :rule trans :premises (@p692 @p677)) % 1.02/1.25 (step @p694 :rule refl :args (@t1086)) % 1.02/1.25 (step @p695 :rule cong :premises (@p694 @p693) :args (@t1907)) % 1.02/1.25 (step @p696 :rule trans :premises (@p695 @p676)) % 1.02/1.25 (step @p697 :rule refl :args (tptp.in)) % 1.02/1.25 (step @p698 :rule ho_cong :premises (@p697 @p694)) % 1.02/1.25 (step @p699 :rule ho_cong :premises (@p698 @p693)) % 1.02/1.25 (step @p700 :rule cong :premises (@p699 @p696) :args ((= (_ @t1917 @t1108) @t1907))) % 1.02/1.25 (step @p701 :rule symm :premises (@p700)) % 1.02/1.25 (step @p702 :rule refl :args ((_ @t666 @t1916))) % 1.02/1.25 (step @p703 :rule eq_resolve :premises (@p702 @p701)) % 1.02/1.25 (step @p704 :rule refl :args (tptp.dsetconstr)) % 1.02/1.25 (step @p705 :rule ho_cong :premises (@p704 @p691)) % 1.02/1.25 (step @p706 :rule ho_cong :premises (@p705 @p690)) % 1.02/1.25 (step @p707 :rule cong :premises (@p706 @p693) :args ((= (_ @t1918 @t1107) @t1108))) % 1.02/1.25 (step @p708 :rule symm :premises (@p707)) % 1.02/1.25 (step @p709 :rule refl :args (@t1916)) % 1.02/1.25 (step @p710 :rule eq_resolve :premises (@p709 @p708)) % 1.02/1.25 (step @p711 :rule refl :args (@t1107)) % 1.02/1.25 (step @p712 :rule refl :args (@t672)) % 1.02/1.25 (step @p713 :rule cong :premises (@p712 @p691) :args ((= @t672 @t1084))) % 1.02/1.25 (step @p714 :rule symm :premises (@p713)) % 1.02/1.25 (step @p715 :rule eq_resolve :premises (@p712 @p714)) % 1.02/1.25 (step @p716 :rule ho_cong :premises (@p704 @p715)) % 1.02/1.25 (step @p717 :rule ho_cong :premises (@p716 @p711)) % 1.02/1.25 (step @p718 :rule trans :premises (@p717 @p710)) % 1.02/1.25 (step @p719 :rule refl :args (@t630)) % 1.02/1.25 (step @p720 :rule cong :premises (@p719 @p694) :args ((= @t630 @t1086))) % 1.02/1.25 (step @p721 :rule symm :premises (@p720)) % 1.02/1.25 (step @p722 :rule eq_resolve :premises (@p719 @p721)) % 1.02/1.25 (step @p723 :rule ho_cong :premises (@p697 @p722)) % 1.02/1.25 (step @p724 :rule ho_cong :premises (@p723 @p718)) % 1.02/1.25 (step @p725 :rule trans :premises (@p724 @p703)) % 1.02/1.25 (step @p726 :rule cong :premises (@p725) :args (@t1921)) % 1.02/1.25 (step @p727 :rule refl :args (@t1136)) % 1.02/1.25 (step @p728 :rule refl :args (@t352)) % 1.02/1.25 (step @p729 :rule cong :premises (@p728 @p727) :args ((= @t352 @t1136))) % 1.02/1.25 (step @p730 :rule symm :premises (@p729)) % 1.02/1.25 (step @p731 :rule eq_resolve :premises (@p728 @p730)) % 1.02/1.25 (step @p732 :rule cong :premises (@p731) :args (@t1922)) % 1.02/1.25 (step @p733 :rule nary_cong :premises (@p732 @p726 @p675) :args (@t1923)) % 1.02/1.25 (step @p734 :rule cong :premises (@p733) :args ((forall @t70 @t1923))) % 1.02/1.25 (step @p735 :rule aci_norm :args ((= (or @t1922 (or @t1921 @t76)) @t1923))) % 1.02/1.25 (step @p736 :rule bool-impl-elim :args (@t1920 @t76)) % 1.02/1.25 (step @p737 :rule refl :args (@t1922)) % 1.02/1.25 (step @p738 :rule nary_cong :premises (@p737 @p736) :args ((or @t1922 @t1924))) % 1.02/1.25 (step @p739 :rule trans :premises (@p738 @p735)) % 1.02/1.25 (step @p740 :rule bool-impl-elim :args (@t352 @t1924)) % 1.02/1.25 (step @p741 :rule trans :premises (@p740 @p739)) % 1.02/1.25 (step @p742 :rule cong :premises (@p741) :args ((forall @t70 (=> @t352 @t1924)))) % 1.02/1.25 (step @p743 :rule trans :premises (@p742 @p734)) % 1.02/1.25 (step @p744 :rule refl :args (@t76)) % 1.02/1.25 (step @p745 :rule refl :args (@t1100)) % 1.02/1.25 (step @p746 :rule refl :args (@t1912)) % 1.02/1.25 (step @p747 :rule cong :premises (@p746 @p682) :args ((= @t1912 @t1101))) % 1.02/1.25 (step @p748 :rule symm :premises (@p747)) % 1.02/1.25 (step @p749 :rule eq_resolve :premises (@p746 @p748)) % 1.02/1.25 (step @p750 :rule cong :premises (@p749) :args (@t1913)) % 1.02/1.25 (step @p751 :rule refl :args (@t1076)) % 1.02/1.25 (step @p752 :rule nary_cong :premises (@p635 @p751 @p750 @p745) :args (@t1925)) % 1.02/1.25 (step @p753 :rule cong :premises (@p752) :args ((forall @t1104 @t1925))) % 1.02/1.25 (step @p754 :rule refl :args (@t1100)) % 1.02/1.25 (step @p755 :rule beta-reduce :args ((= @t1926 @t1912))) % 1.02/1.25 (step @p756 :rule cong :premises (@p755) :args (@t1927)) % 1.02/1.25 (step @p757 :rule refl :args (@t1076)) % 1.02/1.25 (step @p758 :rule refl :args (@t1095)) % 1.02/1.25 (step @p759 :rule nary_cong :premises (@p758 @p757 @p756 @p754) :args (@t1928)) % 1.02/1.25 (step @p760 :rule cong :premises (@p759) :args (@t1929)) % 1.02/1.25 (step @p761 :rule trans :premises (@p760 @p753)) % 1.02/1.25 (step @p762 :rule cong :premises (@p761) :args (@t1930)) % 1.02/1.25 (step @p763 :rule cong :premises (@p762) :args (@t1931)) % 1.02/1.25 (step @p764 :rule refl :args (@t1065)) % 1.02/1.25 (step @p765 :rule ho_cong :premises (@p764 @p763)) % 1.02/1.25 (step @p766 :rule beta-reduce :args ((= (_ @t1932 @t839) (_ @t1065 @t1931)))) % 1.02/1.25 (step @p767 :rule trans :premises (@p766 @p765)) % 1.02/1.25 (step @p768 :rule refl :args (@t839)) % 1.02/1.25 (step @p769 :rule beta-reduce :args ((= (_ @t1933 @t1) @t1932))) % 1.02/1.25 (step @p770 :rule refl :args (@t1)) % 1.02/1.25 (step @p771 :rule beta-reduce :args ((= @t1934 @t1933))) % 1.02/1.25 (step @p772 :rule ho_cong :premises (@p771 @p770)) % 1.02/1.25 (step @p773 :rule trans :premises (@p772 @p769)) % 1.02/1.25 (step @p774 :rule ho_cong :premises (@p773 @p768)) % 1.02/1.25 (step @p775 :rule trans :premises (@p774 @p767)) % 1.02/1.25 (step @p776 :rule refl :args (@t666)) % 1.02/1.25 (step @p777 :rule ho_cong :premises (@p776 @p775)) % 1.02/1.25 (step @p778 :rule cong :premises (@p777 @p744) :args (@t1937)) % 1.02/1.25 (step @p779 :rule refl :args (@t352)) % 1.02/1.25 (step @p780 :rule cong :premises (@p779 @p778) :args (@t1938)) % 1.02/1.25 (step @p781 :rule cong :premises (@p780) :args (@t1939)) % 1.02/1.25 (step @p782 :rule trans :premises (@p781 @p743)) % 1.02/1.25 (step @p783 :rule refl :args (@t7)) % 1.02/1.25 (step @p784 :rule cong :premises (@p783 @p782) :args (@t1940)) % 1.02/1.25 (step @p785 :rule cong :premises (@p784) :args (@t1941)) % 1.02/1.25 (step @p786 :rule trans :premises (@p785 @p670)) % 1.02/1.25 (step @p787 :rule refl :args (tptp.dpsetconstrERa)) % 1.02/1.25 (step @p788 :rule cong :premises (@p787 @p786) :args ((= tptp.dpsetconstrERa @t1941))) % 1.02/1.25 (step @p789 :rule refl :args (@t2)) % 1.02/1.25 (step @p790 :rule aci_norm :args ((= @t1943 @t1103))) % 1.02/1.25 (step @p791 :rule cong :premises (@p790) :args (@t1944)) % 1.02/1.25 (step @p792 :rule quant-merge-prenex :args ((= (forall @t9 @t1946) @t1944))) % 1.02/1.25 (step @p793 :rule alpha_equiv :args (@t1947 (@list @t1068) @t1901)) % 1.02/1.25 (step @p794 :rule nary_cong :premises (@p635 @p793) :args (@t1948)) % 1.02/1.25 (step @p795 :rule quant-miniscope-or :args ((= @t1946 @t1948))) % 1.02/1.25 (step @p796 :rule trans :premises (@p795 @p794)) % 1.02/1.25 (step @p797 :rule symm :premises (@p796)) % 1.02/1.25 (step @p798 :rule cong :premises (@p797) :args ((forall @t9 (or @t1095 @t1950)))) % 1.02/1.25 (step @p799 :rule trans :premises (@p798 @p792)) % 1.02/1.25 (step @p800 :rule trans :premises (@p799 @p791)) % 1.02/1.25 (step @p801 :rule refl :args (@t1950)) % 1.02/1.25 (step @p802 :rule nary_cong :premises (@p649 @p801) :args (@t1951)) % 1.02/1.25 (step @p803 :rule cong :premises (@p802) :args ((forall @t9 @t1951))) % 1.02/1.25 (step @p804 :rule trans :premises (@p803 @p800)) % 1.02/1.25 (step @p805 :rule bool-double-not-elim :args (@t1950)) % 1.02/1.25 (step @p806 :rule refl :args (@t197)) % 1.02/1.25 (step @p807 :rule nary_cong :premises (@p806 @p805) :args ((or @t197 (not @t1952)))) % 1.02/1.25 (step @p808 :rule bool-and-de-morgan :args (@t7 @t1952 true)) % 1.02/1.25 (step @p809 :rule trans :premises (@p808 @p807)) % 1.02/1.25 (step @p810 :rule cong :premises (@p809) :args (@t1954)) % 1.02/1.25 (step @p811 :rule trans :premises (@p810 @p804)) % 1.02/1.25 (step @p812 :rule cong :premises (@p811) :args (@t1955)) % 1.02/1.25 (step @p813 :rule exists-elim :args ((= (exists @t9 @t1953) @t1955))) % 1.02/1.25 (step @p814 :rule trans :premises (@p813 @p812)) % 1.02/1.25 (step @p815 :rule cong :premises (@p679 @p722) :args (@t678)) % 1.02/1.25 (step @p816 :rule cong :premises (@p815) :args (@t1956)) % 1.02/1.25 (step @p817 :rule cong :premises (@p675) :args (@t1957)) % 1.02/1.25 (step @p818 :rule nary_cong :premises (@p732 @p817 @p816) :args (@t1958)) % 1.02/1.25 (step @p819 :rule cong :premises (@p818) :args ((forall @t70 @t1958))) % 1.02/1.25 (step @p820 :rule aci_norm :args ((= (or @t1922 (or @t1957 @t1956)) @t1958))) % 1.02/1.25 (step @p821 :rule bool-and-de-morgan :args (@t76 @t678 true)) % 1.02/1.25 (step @p822 :rule nary_cong :premises (@p737 @p821) :args ((or @t1922 (not (and @t76 @t678))))) % 1.02/1.25 (step @p823 :rule bool-and-de-morgan :args (@t352 @t76 (and @t678))) % 1.02/1.25 (step @p824 :rule trans :premises (@p823 @p822)) % 1.02/1.25 (step @p825 :rule trans :premises (@p824 @p820)) % 1.02/1.25 (step @p826 :rule cong :premises (@p825) :args (@t1959)) % 1.02/1.25 (step @p827 :rule trans :premises (@p826 @p819)) % 1.02/1.25 (step @p828 :rule cong :premises (@p827) :args (@t1960)) % 1.02/1.25 (step @p829 :rule exists-elim :args ((= @t1061 @t1960))) % 1.02/1.25 (step @p830 :rule trans :premises (@p829 @p828)) % 1.02/1.25 (step @p831 :rule nary_cong :premises (@p783 @p830) :args (@t1062)) % 1.02/1.25 (step @p832 :rule cong :premises (@p831) :args (@t1063)) % 1.02/1.25 (step @p833 :rule trans :premises (@p832 @p814)) % 1.02/1.25 (step @p834 :rule cong :premises (@p833) :args (@t1064)) % 1.02/1.25 (step @p835 :rule ho_cong :premises (@p764 @p834)) % 1.02/1.25 (step @p836 :rule cong :premises (@p835) :args (@t1066)) % 1.02/1.25 (step @p837 :rule trans :premises (@p193 @p836)) % 1.02/1.25 (step @p838 :rule ho_cong :premises (@p837 @p789)) % 1.02/1.25 (step @p839 :rule ho_cong :premises (@p838 @p770)) % 1.02/1.25 (step @p840 :rule ho_cong :premises (@p839 @p768)) % 1.02/1.25 (step @p841 :rule ho_cong :premises (@p776 @p840)) % 1.02/1.25 (step @p842 :rule cong :premises (@p841 @p744) :args (@t856)) % 1.02/1.25 (step @p843 :rule cong :premises (@p779 @p842) :args (@t857)) % 1.02/1.25 (step @p844 :rule cong :premises (@p843) :args (@t858)) % 1.02/1.25 (step @p845 :rule cong :premises (@p783 @p844) :args (@t859)) % 1.02/1.25 (step @p846 :rule cong :premises (@p845) :args (@t860)) % 1.02/1.25 (step @p847 :rule cong :premises (@p787 @p846) :args (@t861)) % 1.02/1.25 (step @p848 :rule trans :premises (@p847 @p788)) % 1.02/1.25 (step @p849 :rule eq_resolve :premises (@p185 @p848)) % 1.02/1.25 (step @p850 :rule cong :premises (@p849 @p630) :args (@t1961)) % 1.02/1.25 (step @p851 :rule refl :args ((tptp.subset @t1916 @t672))) % 1.02/1.25 (step @p852 :rule cong :premises (@p693 @p691) :args (@t1109)) % 1.02/1.25 (step @p853 :rule trans :premises (@p852 @p851)) % 1.02/1.25 (step @p854 :rule refl :args (tptp.subset)) % 1.02/1.25 (step @p855 :rule ho_cong :premises (@p854 @p693)) % 1.02/1.25 (step @p856 :rule ho_cong :premises (@p855 @p691)) % 1.02/1.25 (step @p857 :rule cong :premises (@p856 @p853) :args ((= (_ (_ tptp.subset @t1108) @t1084) @t1109))) % 1.02/1.25 (step @p858 :rule symm :premises (@p857)) % 1.02/1.25 (step @p859 :rule refl :args ((_ (_ tptp.subset @t1916) @t672))) % 1.02/1.25 (step @p860 :rule eq_resolve :premises (@p859 @p858)) % 1.02/1.25 (step @p861 :rule ho_cong :premises (@p854 @p718)) % 1.02/1.25 (step @p862 :rule ho_cong :premises (@p861 @p715)) % 1.02/1.25 (step @p863 :rule trans :premises (@p862 @p860)) % 1.02/1.25 (step @p864 :rule cong :premises (@p863) :args ((forall @t851 @t1962))) % 1.02/1.25 (step @p865 :rule beta-reduce :args ((= (_ @t1963 @t1919) @t1962))) % 1.02/1.25 (step @p866 :rule beta-reduce :args ((= @t1964 @t1912))) % 1.02/1.25 (step @p867 :rule cong :premises (@p866) :args (@t1965)) % 1.02/1.25 (step @p868 :rule nary_cong :premises (@p758 @p757 @p867 @p754) :args (@t1966)) % 1.02/1.25 (step @p869 :rule cong :premises (@p868) :args (@t1967)) % 1.02/1.25 (step @p870 :rule trans :premises (@p869 @p753)) % 1.02/1.25 (step @p871 :rule cong :premises (@p870) :args (@t1968)) % 1.02/1.25 (step @p872 :rule cong :premises (@p871) :args (@t1969)) % 1.02/1.25 (step @p873 :rule ho_cong :premises (@p764 @p872)) % 1.02/1.25 (step @p874 :rule beta-reduce :args ((= (_ @t1932 @t849) (_ @t1065 @t1969)))) % 1.02/1.25 (step @p875 :rule trans :premises (@p874 @p873)) % 1.02/1.25 (step @p876 :rule refl :args (@t849)) % 1.02/1.25 (step @p877 :rule ho_cong :premises (@p773 @p876)) % 1.02/1.25 (step @p878 :rule trans :premises (@p877 @p875)) % 1.02/1.25 (step @p879 :rule beta-reduce :args ((= (_ @t1970 @t1) @t1963))) % 1.02/1.25 (step @p880 :rule beta-reduce :args ((= @t1971 @t1970))) % 1.02/1.25 (step @p881 :rule ho_cong :premises (@p880 @p770)) % 1.02/1.25 (step @p882 :rule trans :premises (@p881 @p879)) % 1.02/1.25 (step @p883 :rule ho_cong :premises (@p882 @p878)) % 1.02/1.25 (step @p884 :rule trans :premises (@p883 @p865)) % 1.02/1.25 (step @p885 :rule cong :premises (@p884) :args (@t1973)) % 1.02/1.25 (step @p886 :rule trans :premises (@p885 @p864)) % 1.02/1.25 (step @p887 :rule refl :args (tptp.setOfPairsIsBReln)) % 1.02/1.25 (step @p888 :rule cong :premises (@p887 @p886) :args ((= tptp.setOfPairsIsBReln @t1973))) % 1.02/1.25 (step @p889 :rule ho_cong :premises (@p839 @p876)) % 1.02/1.25 (step @p890 :rule ho_cong :premises (@p192 @p789)) % 1.02/1.25 (step @p891 :rule ho_cong :premises (@p890 @p770)) % 1.02/1.25 (step @p892 :rule ho_cong :premises (@p891 @p889)) % 1.02/1.25 (step @p893 :rule cong :premises (@p892) :args (@t854)) % 1.02/1.25 (step @p894 :rule cong :premises (@p887 @p893) :args (@t855)) % 1.02/1.25 (step @p895 :rule trans :premises (@p894 @p888)) % 1.02/1.25 (step @p896 :rule eq_resolve :premises (@p184 @p895)) % 1.02/1.25 (step @p897 :rule cong :premises (@p896 @p850) :args (@t1974)) % 1.02/1.25 (step @p898 :rule refl :args (@t672)) % 1.02/1.25 (step @p899 :rule refl :args (tptp.subset)) % 1.02/1.25 (step @p900 :rule ho_cong :premises (@p899 @p878)) % 1.02/1.25 (step @p901 :rule ho_cong :premises (@p900 @p898)) % 1.02/1.25 (step @p902 :rule cong :premises (@p901) :args (@t1975)) % 1.02/1.25 (step @p903 :rule trans :premises (@p902 @p864)) % 1.02/1.25 (step @p904 :rule refl :args (tptp.dpsetconstrSub)) % 1.02/1.25 (step @p905 :rule cong :premises (@p904 @p903) :args ((= tptp.dpsetconstrSub @t1975))) % 1.02/1.25 (step @p906 :rule ho_cong :premises (@p899 @p889)) % 1.02/1.25 (step @p907 :rule ho_cong :premises (@p906 @p898)) % 1.02/1.25 (step @p908 :rule cong :premises (@p907) :args (@t852)) % 1.02/1.25 (step @p909 :rule cong :premises (@p904 @p908) :args (@t853)) % 1.02/1.25 (step @p910 :rule trans :premises (@p909 @p905)) % 1.02/1.25 (step @p911 :rule eq_resolve :premises (@p183 @p910)) % 1.02/1.25 (step @p912 :rule cong :premises (@p911 @p897) :args (@t1976)) % 1.02/1.25 (step @p913 :rule aci_norm :args ((= @t1978 @t1117))) % 1.02/1.25 (step @p914 :rule cong :premises (@p913) :args (@t1979)) % 1.02/1.25 (step @p915 :rule quant-merge-prenex :args ((= (forall @t846 @t1981) @t1979))) % 1.02/1.25 (step @p916 :rule alpha_equiv :args (@t1982 (@list @t1113) @t1901)) % 1.02/1.25 (step @p917 :rule nary_cong :premises (@p635 @p916) :args (@t1983)) % 1.02/1.25 (step @p918 :rule quant-miniscope-or :args ((= @t1981 @t1983))) % 1.02/1.25 (step @p919 :rule trans :premises (@p918 @p917)) % 1.02/1.25 (step @p920 :rule symm :premises (@p919)) % 1.02/1.25 (step @p921 :rule cong :premises (@p920) :args ((forall @t846 (or @t1095 @t1984)))) % 1.02/1.25 (step @p922 :rule trans :premises (@p921 @p915)) % 1.02/1.25 (step @p923 :rule trans :premises (@p922 @p914)) % 1.02/1.25 (step @p924 :rule refl :args (@t1984)) % 1.02/1.25 (step @p925 :rule nary_cong :premises (@p649 @p924) :args (@t1985)) % 1.02/1.25 (step @p926 :rule cong :premises (@p925) :args ((forall @t846 @t1985))) % 1.02/1.25 (step @p927 :rule trans :premises (@p926 @p923)) % 1.02/1.25 (step @p928 :rule bool-impl-elim :args (@t7 @t1984)) % 1.02/1.25 (step @p929 :rule cong :premises (@p928) :args ((forall @t846 (=> @t7 @t1984)))) % 1.02/1.25 (step @p930 :rule trans :premises (@p929 @p927)) % 1.02/1.25 (step @p931 :rule alpha_equiv :args (@t1105 @t1906 (@list @t1111))) % 1.02/1.25 (step @p932 :rule cong :premises (@p931) :args (@t1106)) % 1.02/1.25 (step @p933 :rule cong :premises (@p932) :args (@t1107)) % 1.02/1.25 (step @p934 :rule cong :premises (@p660 @p933) :args (@t1108)) % 1.02/1.25 (step @p935 :rule cong :premises (@p662 @p934) :args (@t1907)) % 1.02/1.25 (step @p936 :rule refl :args (@t1685)) % 1.02/1.25 (step @p937 :rule nary_cong :premises (@p665 @p936 @p935) :args (@t1986)) % 1.02/1.25 (step @p938 :rule cong :premises (@p937) :args (@t1987)) % 1.02/1.25 (step @p939 :rule cong :premises (@p645 @p938) :args (@t1988)) % 1.02/1.25 (step @p940 :rule cong :premises (@p939) :args ((forall @t846 @t1988))) % 1.02/1.25 (step @p941 :rule trans :premises (@p940 @p930)) % 1.02/1.25 (step @p942 :rule nary_cong :premises (@p732 @p817 @p725) :args (@t1989)) % 1.02/1.25 (step @p943 :rule cong :premises (@p942) :args ((forall @t70 @t1989))) % 1.02/1.25 (step @p944 :rule aci_norm :args ((= (or @t1922 (or @t1957 @t1920)) @t1989))) % 1.02/1.25 (step @p945 :rule bool-impl-elim :args (@t76 @t1920)) % 1.02/1.25 (step @p946 :rule nary_cong :premises (@p737 @p945) :args ((or @t1922 @t1990))) % 1.02/1.25 (step @p947 :rule trans :premises (@p946 @p944)) % 1.02/1.25 (step @p948 :rule bool-impl-elim :args (@t352 @t1990)) % 1.02/1.25 (step @p949 :rule trans :premises (@p948 @p947)) % 1.02/1.25 (step @p950 :rule cong :premises (@p949) :args ((forall @t70 (=> @t352 @t1990)))) % 1.02/1.25 (step @p951 :rule trans :premises (@p950 @p943)) % 1.02/1.25 (step @p952 :rule cong :premises (@p744 @p777) :args (@t1991)) % 1.02/1.25 (step @p953 :rule cong :premises (@p779 @p952) :args (@t1992)) % 1.02/1.25 (step @p954 :rule cong :premises (@p953) :args (@t1993)) % 1.02/1.25 (step @p955 :rule trans :premises (@p954 @p951)) % 1.02/1.25 (step @p956 :rule cong :premises (@p783 @p955) :args (@t1994)) % 1.02/1.25 (step @p957 :rule cong :premises (@p956) :args (@t1995)) % 1.02/1.25 (step @p958 :rule trans :premises (@p957 @p941)) % 1.02/1.25 (step @p959 :rule refl :args (tptp.dpsetconstrI)) % 1.02/1.25 (step @p960 :rule cong :premises (@p959 @p958) :args ((= tptp.dpsetconstrI @t1995))) % 1.02/1.25 (step @p961 :rule cong :premises (@p744 @p841) :args (@t842)) % 1.02/1.25 (step @p962 :rule cong :premises (@p779 @p961) :args (@t843)) % 1.02/1.25 (step @p963 :rule cong :premises (@p962) :args (@t844)) % 1.02/1.25 (step @p964 :rule cong :premises (@p783 @p963) :args (@t845)) % 1.02/1.25 (step @p965 :rule cong :premises (@p964) :args (@t847)) % 1.02/1.25 (step @p966 :rule cong :premises (@p959 @p965) :args (@t848)) % 1.02/1.25 (step @p967 :rule trans :premises (@p966 @p960)) % 1.02/1.25 (step @p968 :rule eq_resolve :premises (@p182 @p967)) % 1.02/1.25 (step @p969 :rule cong :premises (@p968 @p912) :args (@t1996)) % 1.02/1.25 (step @p970 :rule refl :args ((tptp.kpair @t763 @t807))) % 1.02/1.25 (step @p971 :rule refl :args (@t1119)) % 1.02/1.25 (step @p972 :rule refl :args (@t1120)) % 1.02/1.25 (step @p973 :rule cong :premises (@p972 @p971) :args (@t1121)) % 1.02/1.25 (step @p974 :rule trans :premises (@p973 @p970)) % 1.02/1.25 (step @p975 :rule refl :args (tptp.kpair)) % 1.02/1.25 (step @p976 :rule ho_cong :premises (@p975 @p972)) % 1.02/1.25 (step @p977 :rule ho_cong :premises (@p976 @p971)) % 1.02/1.25 (step @p978 :rule cong :premises (@p977 @p974) :args ((= (_ @t1997 @t1119) @t1121))) % 1.02/1.25 (step @p979 :rule symm :premises (@p978)) % 1.02/1.25 (step @p980 :rule refl :args (@t808)) % 1.02/1.25 (step @p981 :rule eq_resolve :premises (@p980 @p979)) % 1.02/1.25 (step @p982 :rule refl :args (@t807)) % 1.02/1.25 (step @p983 :rule cong :premises (@p982 @p971) :args ((= @t807 @t1119))) % 1.02/1.25 (step @p984 :rule symm :premises (@p983)) % 1.02/1.25 (step @p985 :rule eq_resolve :premises (@p982 @p984)) % 1.02/1.25 (step @p986 :rule refl :args (@t763)) % 1.02/1.25 (step @p987 :rule cong :premises (@p986 @p972) :args ((= @t763 @t1120))) % 1.02/1.25 (step @p988 :rule symm :premises (@p987)) % 1.02/1.25 (step @p989 :rule eq_resolve :premises (@p986 @p988)) % 1.02/1.25 (step @p990 :rule ho_cong :premises (@p975 @p989)) % 1.02/1.25 (step @p991 :rule ho_cong :premises (@p990 @p985)) % 1.02/1.25 (step @p992 :rule trans :premises (@p991 @p981)) % 1.02/1.25 (step @p993 :rule cong :premises (@p679 @p992) :args (@t1998)) % 1.02/1.25 (step @p994 :rule refl :args ((tptp.in @t381 @t672))) % 1.02/1.25 (step @p995 :rule cong :premises (@p679 @p691) :args (@t1123)) % 1.02/1.25 (step @p996 :rule trans :premises (@p995 @p994)) % 1.02/1.25 (step @p997 :rule refl :args (@t683)) % 1.02/1.25 (step @p998 :rule ho_cong :premises (@p997 @p691)) % 1.02/1.25 (step @p999 :rule cong :premises (@p998 @p996) :args ((= (_ @t683 @t1084) @t1123))) % 1.02/1.25 (step @p1000 :rule symm :premises (@p999)) % 1.02/1.25 (step @p1001 :rule refl :args (@t684)) % 1.02/1.25 (step @p1002 :rule eq_resolve :premises (@p1001 @p1000)) % 1.02/1.25 (step @p1003 :rule ho_cong :premises (@p997 @p715)) % 1.02/1.25 (step @p1004 :rule trans :premises (@p1003 @p1002)) % 1.02/1.25 (step @p1005 :rule cong :premises (@p1004) :args (@t1999)) % 1.02/1.25 (step @p1006 :rule nary_cong :premises (@p1005 @p993) :args (@t2000)) % 1.02/1.25 (step @p1007 :rule cong :premises (@p1006) :args ((forall @t686 @t2000))) % 1.02/1.25 (step @p1008 :rule bool-impl-elim :args (@t684 @t1998)) % 1.02/1.25 (step @p1009 :rule cong :premises (@p1008) :args ((forall @t686 (=> @t684 @t1998)))) % 1.02/1.25 (step @p1010 :rule trans :premises (@p1009 @p1007)) % 1.02/1.25 (step @p1011 :rule eq-symm :args (@t808 @t381)) % 1.02/1.25 (step @p1012 :rule refl :args (@t684)) % 1.02/1.25 (step @p1013 :rule cong :premises (@p1012 @p1011) :args (@t836)) % 1.02/1.25 (step @p1014 :rule cong :premises (@p1013) :args (@t837)) % 1.02/1.25 (step @p1015 :rule trans :premises (@p1014 @p1010)) % 1.02/1.25 (step @p1016 :rule refl :args (tptp.cartprodpairsurjEq)) % 1.02/1.25 (step @p1017 :rule cong :premises (@p1016 @p1015) :args (@t838)) % 1.02/1.25 (step @p1018 :rule eq_resolve :premises (@p181 @p1017)) % 1.02/1.25 (step @p1019 :rule cong :premises (@p1018 @p969) :args (@t2001)) % 1.02/1.25 (step @p1020 :rule aci_norm :args ((= @t2003 @t1128))) % 1.02/1.25 (step @p1021 :rule cong :premises (@p1020) :args (@t2004)) % 1.02/1.25 (step @p1022 :rule quant-merge-prenex :args ((= (forall @t245 @t2006) @t2004))) % 1.02/1.25 (step @p1023 :rule alpha_equiv :args (@t2007 (@list @t1125) @t1901)) % 1.02/1.25 (step @p1024 :rule nary_cong :premises (@p635 @p1023) :args (@t2008)) % 1.02/1.25 (step @p1025 :rule quant-miniscope-or :args ((= @t2006 @t2008))) % 1.02/1.25 (step @p1026 :rule trans :premises (@p1025 @p1024)) % 1.02/1.25 (step @p1027 :rule symm :premises (@p1026)) % 1.02/1.25 (step @p1028 :rule cong :premises (@p1027) :args ((forall @t245 (or @t1095 @t2009)))) % 1.02/1.25 (step @p1029 :rule trans :premises (@p1028 @p1022)) % 1.02/1.25 (step @p1030 :rule trans :premises (@p1029 @p1021)) % 1.02/1.25 (step @p1031 :rule refl :args (@t2009)) % 1.02/1.25 (step @p1032 :rule nary_cong :premises (@p649 @p1031) :args (@t2010)) % 1.02/1.25 (step @p1033 :rule cong :premises (@p1032) :args ((forall @t245 @t2010))) % 1.02/1.25 (step @p1034 :rule trans :premises (@p1033 @p1030)) % 1.02/1.25 (step @p1035 :rule bool-impl-elim :args (@t7 @t2009)) % 1.02/1.25 (step @p1036 :rule cong :premises (@p1035) :args ((forall @t245 (=> @t7 @t2009)))) % 1.02/1.25 (step @p1037 :rule trans :premises (@p1036 @p1034)) % 1.02/1.25 (step @p1038 :rule refl :args ((tptp.ksnd @t630))) % 1.02/1.25 (step @p1039 :rule cong :premises (@p694) :args (@t1146)) % 1.02/1.25 (step @p1040 :rule trans :premises (@p1039 @p1038)) % 1.02/1.25 (step @p1041 :rule refl :args (tptp.ksnd)) % 1.02/1.25 (step @p1042 :rule ho_cong :premises (@p1041 @p694)) % 1.02/1.25 (step @p1043 :rule cong :premises (@p1042 @p1040) :args ((= (_ tptp.ksnd @t1086) @t1146))) % 1.02/1.25 (step @p1044 :rule symm :premises (@p1043)) % 1.02/1.25 (step @p1045 :rule refl :args (@t803)) % 1.02/1.25 (step @p1046 :rule eq_resolve :premises (@p1045 @p1044)) % 1.02/1.25 (step @p1047 :rule ho_cong :premises (@p1041 @p722)) % 1.02/1.25 (step @p1048 :rule trans :premises (@p1047 @p1046)) % 1.02/1.25 (step @p1049 :rule refl :args (@t19)) % 1.02/1.25 (step @p1050 :rule cong :premises (@p1049 @p1048) :args (@t2011)) % 1.02/1.25 (step @p1051 :rule nary_cong :premises (@p732 @p1050) :args (@t2012)) % 1.02/1.25 (step @p1052 :rule cong :premises (@p1051) :args ((forall @t70 @t2012))) % 1.02/1.25 (step @p1053 :rule bool-impl-elim :args (@t352 @t2011)) % 1.02/1.25 (step @p1054 :rule cong :premises (@p1053) :args ((forall @t70 (=> @t352 @t2011)))) % 1.02/1.25 (step @p1055 :rule trans :premises (@p1054 @p1052)) % 1.02/1.25 (step @p1056 :rule eq-symm :args (@t803 @t19)) % 1.02/1.25 (step @p1057 :rule cong :premises (@p779 @p1056) :args (@t831)) % 1.02/1.25 (step @p1058 :rule cong :premises (@p1057) :args (@t832)) % 1.02/1.25 (step @p1059 :rule trans :premises (@p1058 @p1055)) % 1.02/1.25 (step @p1060 :rule cong :premises (@p783 @p1059) :args (@t833)) % 1.02/1.25 (step @p1061 :rule cong :premises (@p1060) :args (@t834)) % 1.02/1.25 (step @p1062 :rule trans :premises (@p1061 @p1037)) % 1.02/1.26 (step @p1063 :rule refl :args (tptp.cartprodsndpairEq)) % 1.02/1.26 (step @p1064 :rule cong :premises (@p1063 @p1062) :args (@t835)) % 1.02/1.26 (step @p1065 :rule eq_resolve :premises (@p180 @p1064)) % 1.02/1.26 (step @p1066 :rule cong :premises (@p1065 @p1019) :args (@t2013)) % 1.02/1.26 (step @p1067 :rule aci_norm :args ((= @t2015 @t1133))) % 1.02/1.26 (step @p1068 :rule cong :premises (@p1067) :args (@t2016)) % 1.02/1.26 (step @p1069 :rule quant-merge-prenex :args ((= (forall @t245 @t2018) @t2016))) % 1.02/1.26 (step @p1070 :rule alpha_equiv :args (@t2019 (@list @t1130) @t1901)) % 1.02/1.26 (step @p1071 :rule nary_cong :premises (@p635 @p1070) :args (@t2020)) % 1.02/1.26 (step @p1072 :rule quant-miniscope-or :args ((= @t2018 @t2020))) % 1.02/1.26 (step @p1073 :rule trans :premises (@p1072 @p1071)) % 1.02/1.26 (step @p1074 :rule symm :premises (@p1073)) % 1.02/1.26 (step @p1075 :rule cong :premises (@p1074) :args ((forall @t245 (or @t1095 @t2021)))) % 1.02/1.26 (step @p1076 :rule trans :premises (@p1075 @p1069)) % 1.02/1.26 (step @p1077 :rule trans :premises (@p1076 @p1068)) % 1.02/1.26 (step @p1078 :rule refl :args (@t2021)) % 1.02/1.26 (step @p1079 :rule nary_cong :premises (@p649 @p1078) :args (@t2022)) % 1.02/1.26 (step @p1080 :rule cong :premises (@p1079) :args ((forall @t245 @t2022))) % 1.02/1.26 (step @p1081 :rule trans :premises (@p1080 @p1077)) % 1.02/1.26 (step @p1082 :rule bool-impl-elim :args (@t7 @t2021)) % 1.02/1.26 (step @p1083 :rule cong :premises (@p1082) :args ((forall @t245 (=> @t7 @t2021)))) % 1.02/1.26 (step @p1084 :rule trans :premises (@p1083 @p1081)) % 1.02/1.26 (step @p1085 :rule refl :args ((tptp.kfst @t630))) % 1.02/1.26 (step @p1086 :rule cong :premises (@p694) :args (@t1187)) % 1.02/1.26 (step @p1087 :rule trans :premises (@p1086 @p1085)) % 1.02/1.26 (step @p1088 :rule refl :args (tptp.kfst)) % 1.02/1.26 (step @p1089 :rule ho_cong :premises (@p1088 @p694)) % 1.02/1.26 (step @p1090 :rule cong :premises (@p1089 @p1087) :args ((= (_ tptp.kfst @t1086) @t1187))) % 1.02/1.26 (step @p1091 :rule symm :premises (@p1090)) % 1.02/1.26 (step @p1092 :rule refl :args (@t759)) % 1.02/1.26 (step @p1093 :rule eq_resolve :premises (@p1092 @p1091)) % 1.02/1.26 (step @p1094 :rule ho_cong :premises (@p1088 @p722)) % 1.02/1.26 (step @p1095 :rule trans :premises (@p1094 @p1093)) % 1.02/1.26 (step @p1096 :rule refl :args (@t4)) % 1.02/1.26 (step @p1097 :rule cong :premises (@p1096 @p1095) :args (@t2023)) % 1.02/1.26 (step @p1098 :rule nary_cong :premises (@p732 @p1097) :args (@t2024)) % 1.02/1.26 (step @p1099 :rule cong :premises (@p1098) :args ((forall @t70 @t2024))) % 1.02/1.26 (step @p1100 :rule bool-impl-elim :args (@t352 @t2023)) % 1.02/1.26 (step @p1101 :rule cong :premises (@p1100) :args ((forall @t70 (=> @t352 @t2023)))) % 1.02/1.26 (step @p1102 :rule trans :premises (@p1101 @p1099)) % 1.02/1.26 (step @p1103 :rule eq-symm :args (@t759 @t4)) % 1.02/1.26 (step @p1104 :rule cong :premises (@p779 @p1103) :args (@t826)) % 1.02/1.26 (step @p1105 :rule cong :premises (@p1104) :args (@t827)) % 1.02/1.26 (step @p1106 :rule trans :premises (@p1105 @p1102)) % 1.02/1.26 (step @p1107 :rule cong :premises (@p783 @p1106) :args (@t828)) % 1.02/1.26 (step @p1108 :rule cong :premises (@p1107) :args (@t829)) % 1.02/1.26 (step @p1109 :rule trans :premises (@p1108 @p1084)) % 1.02/1.26 (step @p1110 :rule refl :args (tptp.cartprodfstpairEq)) % 1.02/1.26 (step @p1111 :rule cong :premises (@p1110 @p1109) :args (@t830)) % 1.02/1.26 (step @p1112 :rule eq_resolve :premises (@p179 @p1111)) % 1.02/1.26 (step @p1113 :rule cong :premises (@p1112 @p1066) :args (@t2025)) % 1.02/1.26 (step @p1114 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 1.02/1.26 (step @p1115 :rule symm :premises (@p1114)) % 1.02/1.26 (step @p1116 :rule quant-unused-vars :args ((= (forall @t245 true) true))) % 1.02/1.26 (step @p1117 :rule bool-impl-true1 :args (@t7)) % 1.02/1.26 (step @p1118 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 1.02/1.26 (step @p1119 :rule bool-impl-true1 :args (@t352)) % 1.02/1.26 (step @p1120 :rule eq-refl :args (@t630)) % 1.02/1.26 (step @p1121 :rule cong :premises (@p779 @p1120) :args (@t821)) % 1.02/1.26 (step @p1122 :rule trans :premises (@p1121 @p1119)) % 1.02/1.26 (step @p1123 :rule cong :premises (@p1122) :args (@t822)) % 1.02/1.26 (step @p1124 :rule trans :premises (@p1123 @p1118)) % 1.02/1.26 (step @p1125 :rule cong :premises (@p783 @p1124) :args (@t823)) % 1.02/1.26 (step @p1126 :rule trans :premises (@p1125 @p1117)) % 1.02/1.26 (step @p1127 :rule cong :premises (@p1126) :args (@t824)) % 1.02/1.26 (step @p1128 :rule trans :premises (@p1127 @p1116)) % 1.02/1.26 (step @p1129 :rule refl :args (tptp.cartprodmempaircEq)) % 1.02/1.26 (step @p1130 :rule cong :premises (@p1129 @p1128) :args (@t825)) % 1.02/1.26 (step @p1131 :rule trans :premises (@p1130 @p1114)) % 1.02/1.26 (step @p1132 :rule eq_resolve :premises (@p178 @p1131)) % 1.02/1.26 (step @p1133 :rule eq_resolve :premises (@p1132 @p1115)) % 1.02/1.26 (step @p1134 :rule cong :premises (@p1133 @p1113) :args (@t2026)) % 1.02/1.26 (step @p1135 :rule refl :args ((tptp.in @t630 @t672))) % 1.02/1.26 (step @p1136 :rule cong :premises (@p694 @p691) :args (@t1137)) % 1.02/1.26 (step @p1137 :rule trans :premises (@p1136 @p1135)) % 1.02/1.26 (step @p1138 :rule ho_cong :premises (@p698 @p691)) % 1.02/1.26 (step @p1139 :rule cong :premises (@p1138 @p1137) :args ((= (_ @t1917 @t1084) @t1137))) % 1.02/1.26 (step @p1140 :rule symm :premises (@p1139)) % 1.02/1.26 (step @p1141 :rule refl :args (@t673)) % 1.02/1.26 (step @p1142 :rule eq_resolve :premises (@p1141 @p1140)) % 1.02/1.26 (step @p1143 :rule ho_cong :premises (@p723 @p715)) % 1.02/1.26 (step @p1144 :rule trans :premises (@p1143 @p1142)) % 1.02/1.26 (step @p1145 :rule cong :premises (@p1144) :args (@t2027)) % 1.02/1.26 (step @p1146 :rule nary_cong :premises (@p1145 @p731) :args (@t2028)) % 1.02/1.26 (step @p1147 :rule cong :premises (@p1146) :args ((forall @t816 @t2028))) % 1.02/1.26 (step @p1148 :rule bool-impl-elim :args (@t673 @t352)) % 1.02/1.26 (step @p1149 :rule cong :premises (@p1148) :args (@t819)) % 1.02/1.26 (step @p1150 :rule trans :premises (@p1149 @p1147)) % 1.02/1.26 (step @p1151 :rule refl :args (tptp.cartprodpairmemER)) % 1.02/1.26 (step @p1152 :rule cong :premises (@p1151 @p1150) :args (@t820)) % 1.02/1.26 (step @p1153 :rule eq_resolve :premises (@p177 @p1152)) % 1.02/1.26 (step @p1154 :rule cong :premises (@p1153 @p1134) :args (@t2029)) % 1.02/1.26 (step @p1155 :rule nary_cong :premises (@p1145 @p648) :args (@t2030)) % 1.02/1.26 (step @p1156 :rule cong :premises (@p1155) :args ((forall @t816 @t2030))) % 1.02/1.26 (step @p1157 :rule bool-impl-elim :args (@t673 @t7)) % 1.02/1.26 (step @p1158 :rule cong :premises (@p1157) :args (@t817)) % 1.02/1.26 (step @p1159 :rule trans :premises (@p1158 @p1156)) % 1.02/1.26 (step @p1160 :rule refl :args (tptp.cartprodpairmemEL)) % 1.02/1.26 (step @p1161 :rule cong :premises (@p1160 @p1159) :args (@t818)) % 1.02/1.26 (step @p1162 :rule eq_resolve :premises (@p176 @p1161)) % 1.02/1.26 (step @p1163 :rule cong :premises (@p1162 @p1154) :args (@t2031)) % 1.02/1.26 (step @p1164 :rule refl :args ((tptp.in @t807 @t1))) % 1.02/1.26 (step @p1165 :rule refl :args (@t1)) % 1.02/1.26 (step @p1166 :rule cong :premises (@p971 @p1165) :args (@t1141)) % 1.02/1.26 (step @p1167 :rule trans :premises (@p1166 @p1164)) % 1.02/1.26 (step @p1168 :rule ho_cong :premises (@p697 @p971)) % 1.02/1.26 (step @p1169 :rule ho_cong :premises (@p1168 @p1165)) % 1.02/1.26 (step @p1170 :rule cong :premises (@p1169 @p1167) :args ((= (_ (_ tptp.in @t1119) @t1) @t1141))) % 1.02/1.26 (step @p1171 :rule symm :premises (@p1170)) % 1.02/1.26 (step @p1172 :rule refl :args (@t813)) % 1.02/1.26 (step @p1173 :rule eq_resolve :premises (@p1172 @p1171)) % 1.02/1.26 (step @p1174 :rule ho_cong :premises (@p697 @p985)) % 1.02/1.26 (step @p1175 :rule ho_cong :premises (@p1174 @p1165)) % 1.02/1.26 (step @p1176 :rule trans :premises (@p1175 @p1173)) % 1.02/1.26 (step @p1177 :rule nary_cong :premises (@p1005 @p1176) :args (@t2032)) % 1.02/1.26 (step @p1178 :rule cong :premises (@p1177) :args ((forall @t686 @t2032))) % 1.02/1.26 (step @p1179 :rule bool-impl-elim :args (@t684 @t813)) % 1.02/1.26 (step @p1180 :rule cong :premises (@p1179) :args (@t814)) % 1.02/1.26 (step @p1181 :rule trans :premises (@p1180 @p1178)) % 1.02/1.26 (step @p1182 :rule refl :args (tptp.cartprodsndin)) % 1.02/1.26 (step @p1183 :rule cong :premises (@p1182 @p1181) :args (@t815)) % 1.02/1.26 (step @p1184 :rule eq_resolve :premises (@p175 @p1183)) % 1.02/1.26 (step @p1185 :rule cong :premises (@p1184 @p1163) :args (@t2033)) % 1.02/1.26 (step @p1186 :rule refl :args (@t1143)) % 1.02/1.26 (step @p1187 :rule refl :args (@t689)) % 1.02/1.26 (step @p1188 :rule cong :premises (@p1187 @p1186) :args ((= @t689 @t1143))) % 1.02/1.26 (step @p1189 :rule symm :premises (@p1188)) % 1.02/1.26 (step @p1190 :rule eq_resolve :premises (@p1187 @p1189)) % 1.02/1.26 (step @p1191 :rule cong :premises (@p1190) :args (@t2034)) % 1.02/1.26 (step @p1192 :rule nary_cong :premises (@p1191 @p993) :args (@t2035)) % 1.02/1.26 (step @p1193 :rule cong :premises (@p1192) :args ((forall @t751 @t2035))) % 1.02/1.26 (step @p1194 :rule bool-impl-elim :args (@t689 @t1998)) % 1.02/1.26 (step @p1195 :rule cong :premises (@p1194) :args ((forall @t751 (=> @t689 @t1998)))) % 1.02/1.26 (step @p1196 :rule trans :premises (@p1195 @p1193)) % 1.02/1.26 (step @p1197 :rule refl :args (@t689)) % 1.02/1.26 (step @p1198 :rule cong :premises (@p1197 @p1011) :args (@t810)) % 1.02/1.26 (step @p1199 :rule cong :premises (@p1198) :args (@t811)) % 1.02/1.26 (step @p1200 :rule trans :premises (@p1199 @p1196)) % 1.02/1.26 (step @p1201 :rule refl :args (tptp.kpairsurjEq)) % 1.02/1.26 (step @p1202 :rule cong :premises (@p1201 @p1200) :args (@t812)) % 1.02/1.26 (step @p1203 :rule eq_resolve :premises (@p174 @p1202)) % 1.02/1.26 (step @p1204 :rule cong :premises (@p1203 @p1185) :args (@t2036)) % 1.02/1.26 (step @p1205 :rule cong :premises (@p1050) :args ((forall @t135 @t2011))) % 1.02/1.26 (step @p1206 :rule cong :premises (@p1056) :args (@t805)) % 1.02/1.26 (step @p1207 :rule trans :premises (@p1206 @p1205)) % 1.02/1.26 (step @p1208 :rule refl :args (tptp.ksndpairEq)) % 1.02/1.26 (step @p1209 :rule cong :premises (@p1208 @p1207) :args (@t806)) % 1.02/1.26 (step @p1210 :rule eq_resolve :premises (@p173 @p1209)) % 1.02/1.26 (step @p1211 :rule cong :premises (@p1210 @p1204) :args (@t2037)) % 1.02/1.26 (step @p1212 :rule refl :args (@t1157)) % 1.02/1.26 (step @p1213 :rule nary_cong :premises (@p1191 @p1212) :args (@t2038)) % 1.02/1.26 (step @p1214 :rule cong :premises (@p1213) :args ((forall @t751 @t2038))) % 1.02/1.26 (step @p1215 :rule bool-impl-elim :args (@t689 @t1157)) % 1.02/1.26 (step @p1216 :rule cong :premises (@p1215) :args ((forall @t751 (=> @t689 @t1157)))) % 1.02/1.26 (step @p1217 :rule trans :premises (@p1216 @p1214)) % 1.02/1.26 (step @p1218 :rule refl :args ((tptp.dsetconstr @t747 @t2041))) % 1.02/1.26 (step @p1219 :rule refl :args ((tptp.kpair @t763 @t1149))) % 1.02/1.26 (step @p1220 :rule refl :args (@t1149)) % 1.02/1.26 (step @p1221 :rule cong :premises (@p972 @p1220) :args (@t1150)) % 1.02/1.26 (step @p1222 :rule trans :premises (@p1221 @p1219)) % 1.02/1.26 (step @p1223 :rule cong :premises (@p679 @p1222) :args (@t1151)) % 1.02/1.26 (step @p1224 :rule cong :premises (@p1223) :args (@t1153)) % 1.02/1.26 (step @p1225 :rule refl :args (@t1154)) % 1.02/1.26 (step @p1226 :rule cong :premises (@p1225 @p1224) :args (@t1155)) % 1.02/1.26 (step @p1227 :rule trans :premises (@p1226 @p1218)) % 1.02/1.26 (step @p1228 :rule ho_cong :premises (@p704 @p1225)) % 1.02/1.26 (step @p1229 :rule ho_cong :premises (@p1228 @p1224)) % 1.02/1.26 (step @p1230 :rule cong :premises (@p1229 @p1227) :args ((= (_ @t2042 @t1153) @t1155))) % 1.02/1.26 (step @p1231 :rule symm :premises (@p1230)) % 1.02/1.26 (step @p1232 :rule refl :args (@t2043)) % 1.02/1.26 (step @p1233 :rule eq_resolve :premises (@p1232 @p1231)) % 1.02/1.26 (step @p1234 :rule ho_cong :premises (@p976 @p1220)) % 1.02/1.26 (step @p1235 :rule cong :premises (@p1234 @p1222) :args ((= (_ @t1997 @t1149) @t1150))) % 1.02/1.26 (step @p1236 :rule symm :premises (@p1235)) % 1.02/1.26 (step @p1237 :rule refl :args (@t2039)) % 1.02/1.26 (step @p1238 :rule eq_resolve :premises (@p1237 @p1236)) % 1.02/1.26 (step @p1239 :rule ho_cong :premises (@p990 @p1220)) % 1.02/1.26 (step @p1240 :rule trans :premises (@p1239 @p1238)) % 1.02/1.26 (step @p1241 :rule cong :premises (@p679 @p1240) :args (@t2040)) % 1.02/1.26 (step @p1242 :rule cong :premises (@p1241) :args (@t2041)) % 1.02/1.26 (step @p1243 :rule refl :args (@t747)) % 1.02/1.26 (step @p1244 :rule cong :premises (@p1243 @p1225) :args ((= @t747 @t1154))) % 1.02/1.26 (step @p1245 :rule symm :premises (@p1244)) % 1.02/1.26 (step @p1246 :rule eq_resolve :premises (@p1243 @p1245)) % 1.02/1.26 (step @p1247 :rule ho_cong :premises (@p704 @p1246)) % 1.02/1.26 (step @p1248 :rule ho_cong :premises (@p1247 @p1242)) % 1.02/1.26 (step @p1249 :rule trans :premises (@p1248 @p1233)) % 1.02/1.26 (step @p1250 :rule refl :args (@t1156)) % 1.02/1.26 (step @p1251 :rule cong :premises (@p1250 @p1249) :args (@t2044)) % 1.02/1.26 (step @p1252 :rule cong :premises (@p1251) :args (@t2045)) % 1.02/1.26 (step @p1253 :rule cong :premises (@p1096 @p1249) :args (@t2046)) % 1.02/1.26 (step @p1254 :rule cong :premises (@p1253) :args (@t2047)) % 1.02/1.26 (step @p1255 :rule nary_cong :premises (@p1254 @p1252) :args (@t2048)) % 1.02/1.26 (step @p1256 :rule cong :premises (@p1255) :args ((forall @t9 @t2048))) % 1.02/1.26 (step @p1257 :rule alpha_equiv :args (@t798 @t1906 (@list @t1149))) % 1.02/1.26 (step @p1258 :rule refl :args (@t748)) % 1.02/1.26 (step @p1259 :rule ho_cong :premises (@p1258 @p1257)) % 1.02/1.26 (step @p1260 :rule cong :premises (@p1250 @p1259) :args (@t2049)) % 1.02/1.26 (step @p1261 :rule cong :premises (@p1260) :args (@t2050)) % 1.02/1.26 (step @p1262 :rule cong :premises (@p1096 @p1259) :args (@t2051)) % 1.02/1.26 (step @p1263 :rule cong :premises (@p1262) :args (@t2052)) % 1.02/1.26 (step @p1264 :rule nary_cong :premises (@p1263 @p1261) :args (@t2053)) % 1.02/1.26 (step @p1265 :rule cong :premises (@p1264) :args ((forall @t9 @t2053))) % 1.02/1.26 (step @p1266 :rule trans :premises (@p1265 @p1256)) % 1.02/1.26 (step @p1267 :rule eq-symm :args (@t799 @t1156)) % 1.02/1.26 (step @p1268 :rule cong :premises (@p1267) :args (@t2054)) % 1.02/1.26 (step @p1269 :rule refl :args (@t2052)) % 1.02/1.26 (step @p1270 :rule nary_cong :premises (@p1269 @p1268) :args (@t2055)) % 1.02/1.26 (step @p1271 :rule cong :premises (@p1270) :args (@t2056)) % 1.02/1.26 (step @p1272 :rule trans :premises (@p1271 @p1266)) % 1.02/1.26 (step @p1273 :rule cong :premises (@p1272) :args (@t2057)) % 1.02/1.26 (step @p1274 :rule beta-reduce :args ((= @t2059 @t2057))) % 1.02/1.26 (step @p1275 :rule trans :premises (@p1274 @p1273)) % 1.02/1.26 (step @p1276 :rule cong :premises (@p1197 @p1275) :args (@t2060)) % 1.02/1.26 (step @p1277 :rule cong :premises (@p1276) :args (@t2061)) % 1.02/1.26 (step @p1278 :rule trans :premises (@p1277 @p1217)) % 1.02/1.26 (step @p1279 :rule refl :args (tptp.ksndsingleton)) % 1.02/1.26 (step @p1280 :rule cong :premises (@p1279 @p1278) :args ((= tptp.ksndsingleton @t2061))) % 1.02/1.26 (step @p1281 :rule refl :args (@t799)) % 1.02/1.26 (step @p1282 :rule refl :args (@t1156)) % 1.02/1.26 (step @p1283 :rule refl :args (@t279)) % 1.02/1.26 (step @p1284 :rule cong :premises (@p1283 @p1282) :args ((= @t279 @t1156))) % 1.02/1.26 (step @p1285 :rule symm :premises (@p1284)) % 1.02/1.26 (step @p1286 :rule eq_resolve :premises (@p1283 @p1285)) % 1.02/1.26 (step @p1287 :rule refl :args (@t2)) % 1.02/1.26 (step @p1288 :rule cong :premises (@p1287 @p1286) :args (@t1053)) % 1.02/1.26 (step @p1289 :rule cong :premises (@p1288) :args (@t2062)) % 1.02/1.26 (step @p1290 :rule nary_cong :premises (@p649 @p1289) :args (@t2063)) % 1.02/1.26 (step @p1291 :rule cong :premises (@p1290) :args ((forall @t9 @t2063))) % 1.02/1.26 (step @p1292 :rule bool-and-de-morgan :args (@t7 @t1053 true)) % 1.02/1.26 (step @p1293 :rule cong :premises (@p1292) :args (@t2064)) % 1.02/1.26 (step @p1294 :rule trans :premises (@p1293 @p1291)) % 1.02/1.26 (step @p1295 :rule cong :premises (@p1294) :args (@t2065)) % 1.02/1.26 (step @p1296 :rule exists-elim :args ((= @t1055 @t2065))) % 1.02/1.26 (step @p1297 :rule trans :premises (@p1296 @p1295)) % 1.02/1.26 (step @p1298 :rule cong :premises (@p1297) :args (@t1056)) % 1.02/1.26 (step @p1299 :rule trans :premises (@p190 @p1298)) % 1.02/1.26 (step @p1300 :rule ho_cong :premises (@p1299 @p1281)) % 1.02/1.26 (step @p1301 :rule cong :premises (@p1197 @p1300) :args (@t800)) % 1.02/1.26 (step @p1302 :rule cong :premises (@p1301) :args (@t801)) % 1.02/1.26 (step @p1303 :rule cong :premises (@p1279 @p1302) :args (@t802)) % 1.02/1.26 (step @p1304 :rule trans :premises (@p1303 @p1280)) % 1.02/1.26 (step @p1305 :rule eq_resolve :premises (@p172 @p1304)) % 1.02/1.26 (step @p1306 :rule cong :premises (@p1305 @p1211) :args (@t2066)) % 1.02/1.26 (step @p1307 :rule refl :args (@t786)) % 1.02/1.26 (step @p1308 :rule refl :args (@t1159)) % 1.02/1.26 (step @p1309 :rule refl :args (@t775)) % 1.02/1.26 (step @p1310 :rule cong :premises (@p1309 @p1308) :args ((= @t775 @t1159))) % 1.02/1.26 (step @p1311 :rule symm :premises (@p1310)) % 1.02/1.26 (step @p1312 :rule eq_resolve :premises (@p1309 @p1311)) % 1.02/1.26 (step @p1313 :rule cong :premises (@p722 @p1312) :args (@t776)) % 1.02/1.26 (step @p1314 :rule cong :premises (@p1313) :args (@t2067)) % 1.02/1.26 (step @p1315 :rule nary_cong :premises (@p1314 @p1307) :args (@t2068)) % 1.02/1.26 (step @p1316 :rule cong :premises (@p1315) :args ((forall @t772 @t2068))) % 1.02/1.26 (step @p1317 :rule bool-impl-elim :args (@t776 @t786)) % 1.02/1.26 (step @p1318 :rule cong :premises (@p1317) :args (@t795)) % 1.02/1.26 (step @p1319 :rule trans :premises (@p1318 @p1316)) % 1.02/1.26 (step @p1320 :rule refl :args (tptp.setukpairinjR)) % 1.02/1.26 (step @p1321 :rule cong :premises (@p1320 @p1319) :args (@t796)) % 1.02/1.26 (step @p1322 :rule eq_resolve :premises (@p171 @p1321)) % 1.02/1.26 (step @p1323 :rule cong :premises (@p1322 @p1306) :args (@t2069)) % 1.02/1.26 (step @p1324 :rule refl :args ((tptp.setadjoin @t742 @t769))) % 1.02/1.26 (step @p1325 :rule refl :args ((tptp.setadjoin @t768 tptp.emptyset))) % 1.02/1.26 (step @p1326 :rule refl :args ((tptp.setadjoin @t289 @t767))) % 1.02/1.26 (step @p1327 :rule refl :args (@t1162)) % 1.02/1.26 (step @p1328 :rule refl :args (@t289)) % 1.02/1.26 (step @p1329 :rule cong :premises (@p1328 @p1327) :args (@t1163)) % 1.02/1.26 (step @p1330 :rule trans :premises (@p1329 @p1326)) % 1.02/1.26 (step @p1331 :rule cong :premises (@p1330 @p248) :args (@t1164)) % 1.02/1.26 (step @p1332 :rule trans :premises (@p1331 @p1325)) % 1.02/1.26 (step @p1333 :rule refl :args (@t1165)) % 1.02/1.26 (step @p1334 :rule cong :premises (@p1333 @p1332) :args (@t1166)) % 1.02/1.26 (step @p1335 :rule trans :premises (@p1334 @p1324)) % 1.02/1.26 (step @p1336 :rule refl :args (tptp.setadjoin)) % 1.02/1.26 (step @p1337 :rule ho_cong :premises (@p1336 @p1333)) % 1.02/1.26 (step @p1338 :rule ho_cong :premises (@p1337 @p1332)) % 1.02/1.26 (step @p1339 :rule cong :premises (@p1338 @p1335) :args ((= (_ (_ tptp.setadjoin @t1165) @t1164) @t1166))) % 1.02/1.26 (step @p1340 :rule symm :premises (@p1339)) % 1.02/1.26 (step @p1341 :rule refl :args (@t770)) % 1.02/1.26 (step @p1342 :rule eq_resolve :premises (@p1341 @p1340)) % 1.02/1.26 (step @p1343 :rule ho_cong :premises (@p1336 @p1330)) % 1.02/1.26 (step @p1344 :rule ho_cong :premises (@p1343 @p248)) % 1.02/1.26 (step @p1345 :rule cong :premises (@p1344 @p1332) :args ((= (_ (_ tptp.setadjoin @t1163) tptp.emptyset) @t1164))) % 1.02/1.26 (step @p1346 :rule symm :premises (@p1345)) % 1.02/1.26 (step @p1347 :rule refl :args (@t769)) % 1.02/1.26 (step @p1348 :rule eq_resolve :premises (@p1347 @p1346)) % 1.02/1.26 (step @p1349 :rule refl :args (@t741)) % 1.02/1.26 (step @p1350 :rule ho_cong :premises (@p1349 @p1327)) % 1.02/1.26 (step @p1351 :rule cong :premises (@p1350 @p1330) :args ((= (_ @t741 @t1162) @t1163))) % 1.02/1.26 (step @p1352 :rule symm :premises (@p1351)) % 1.02/1.26 (step @p1353 :rule refl :args (@t768)) % 1.02/1.26 (step @p1354 :rule eq_resolve :premises (@p1353 @p1352)) % 1.02/1.26 (step @p1355 :rule refl :args (@t767)) % 1.02/1.26 (step @p1356 :rule cong :premises (@p1355 @p1327) :args ((= @t767 @t1162))) % 1.02/1.26 (step @p1357 :rule symm :premises (@p1356)) % 1.02/1.26 (step @p1358 :rule eq_resolve :premises (@p1355 @p1357)) % 1.02/1.26 (step @p1359 :rule ho_cong :premises (@p1349 @p1358)) % 1.02/1.26 (step @p1360 :rule trans :premises (@p1359 @p1354)) % 1.02/1.26 (step @p1361 :rule ho_cong :premises (@p1336 @p1360)) % 1.02/1.26 (step @p1362 :rule ho_cong :premises (@p1361 @p248)) % 1.02/1.26 (step @p1363 :rule trans :premises (@p1362 @p1348)) % 1.02/1.26 (step @p1364 :rule refl :args (@t742)) % 1.02/1.26 (step @p1365 :rule cong :premises (@p1364 @p1333) :args ((= @t742 @t1165))) % 1.02/1.26 (step @p1366 :rule symm :premises (@p1365)) % 1.02/1.26 (step @p1367 :rule eq_resolve :premises (@p1364 @p1366)) % 1.02/1.26 (step @p1368 :rule ho_cong :premises (@p1336 @p1367)) % 1.02/1.26 (step @p1369 :rule ho_cong :premises (@p1368 @p1363)) % 1.02/1.26 (step @p1370 :rule trans :premises (@p1369 @p1342)) % 1.02/1.26 (step @p1371 :rule refl :args ((tptp.setadjoin @t279 @t616))) % 1.02/1.26 (step @p1372 :rule refl :args ((tptp.setadjoin @t291 tptp.emptyset))) % 1.02/1.26 (step @p1373 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 1.02/1.26 (step @p1374 :rule refl :args (@t1167)) % 1.02/1.26 (step @p1375 :rule cong :premises (@p1096 @p1374) :args (@t1168)) % 1.02/1.26 (step @p1376 :rule trans :premises (@p1375 @p1373)) % 1.02/1.26 (step @p1377 :rule cong :premises (@p1376 @p248) :args (@t1169)) % 1.02/1.26 (step @p1378 :rule trans :premises (@p1377 @p1372)) % 1.02/1.26 (step @p1379 :rule cong :premises (@p1282 @p1378) :args (@t1170)) % 1.02/1.26 (step @p1380 :rule trans :premises (@p1379 @p1371)) % 1.02/1.26 (step @p1381 :rule ho_cong :premises (@p1336 @p1282)) % 1.02/1.26 (step @p1382 :rule ho_cong :premises (@p1381 @p1378)) % 1.02/1.26 (step @p1383 :rule cong :premises (@p1382 @p1380) :args ((= (_ @t2070 @t1169) @t1170))) % 1.02/1.26 (step @p1384 :rule symm :premises (@p1383)) % 1.02/1.26 (step @p1385 :rule refl :args (@t618)) % 1.02/1.26 (step @p1386 :rule eq_resolve :premises (@p1385 @p1384)) % 1.02/1.26 (step @p1387 :rule ho_cong :premises (@p1336 @p1376)) % 1.02/1.26 (step @p1388 :rule ho_cong :premises (@p1387 @p248)) % 1.02/1.26 (step @p1389 :rule cong :premises (@p1388 @p1378) :args ((= (_ (_ tptp.setadjoin @t1168) tptp.emptyset) @t1169))) % 1.02/1.26 (step @p1390 :rule symm :premises (@p1389)) % 1.02/1.26 (step @p1391 :rule refl :args (@t616)) % 1.02/1.26 (step @p1392 :rule eq_resolve :premises (@p1391 @p1390)) % 1.02/1.26 (step @p1393 :rule refl :args (@t24)) % 1.02/1.26 (step @p1394 :rule ho_cong :premises (@p1393 @p1374)) % 1.02/1.26 (step @p1395 :rule cong :premises (@p1394 @p1376) :args ((= (_ @t24 @t1167) @t1168))) % 1.02/1.26 (step @p1396 :rule symm :premises (@p1395)) % 1.02/1.26 (step @p1397 :rule refl :args (@t291)) % 1.02/1.26 (step @p1398 :rule eq_resolve :premises (@p1397 @p1396)) % 1.02/1.26 (step @p1399 :rule refl :args (@t275)) % 1.02/1.26 (step @p1400 :rule cong :premises (@p1399 @p1374) :args ((= @t275 @t1167))) % 1.02/1.26 (step @p1401 :rule symm :premises (@p1400)) % 1.02/1.26 (step @p1402 :rule eq_resolve :premises (@p1399 @p1401)) % 1.02/1.26 (step @p1403 :rule ho_cong :premises (@p1393 @p1402)) % 1.02/1.26 (step @p1404 :rule trans :premises (@p1403 @p1398)) % 1.02/1.26 (step @p1405 :rule ho_cong :premises (@p1336 @p1404)) % 1.02/1.26 (step @p1406 :rule ho_cong :premises (@p1405 @p248)) % 1.02/1.26 (step @p1407 :rule trans :premises (@p1406 @p1392)) % 1.02/1.26 (step @p1408 :rule ho_cong :premises (@p1336 @p1286)) % 1.02/1.26 (step @p1409 :rule ho_cong :premises (@p1408 @p1407)) % 1.02/1.26 (step @p1410 :rule trans :premises (@p1409 @p1386)) % 1.02/1.26 (step @p1411 :rule cong :premises (@p1410 @p1370) :args (@t771)) % 1.02/1.26 (step @p1412 :rule cong :premises (@p1411) :args (@t2071)) % 1.02/1.26 (step @p1413 :rule nary_cong :premises (@p1412 @p1307) :args (@t2072)) % 1.02/1.26 (step @p1414 :rule cong :premises (@p1413) :args ((forall @t772 @t2072))) % 1.02/1.26 (step @p1415 :rule bool-impl-elim :args (@t771 @t786)) % 1.02/1.26 (step @p1416 :rule cong :premises (@p1415) :args (@t793)) % 1.02/1.26 (step @p1417 :rule trans :premises (@p1416 @p1414)) % 1.02/1.26 (step @p1418 :rule refl :args (tptp.setukpairinjR2)) % 1.02/1.26 (step @p1419 :rule cong :premises (@p1418 @p1417) :args (@t794)) % 1.02/1.26 (step @p1420 :rule eq_resolve :premises (@p170 @p1419)) % 1.02/1.26 (step @p1421 :rule cong :premises (@p1420 @p1323) :args (@t2073)) % 1.02/1.26 (step @p1422 :rule refl :args (@t129)) % 1.02/1.26 (step @p1423 :rule cong :premises (@p1404 @p1367) :args (@t790)) % 1.02/1.26 (step @p1424 :rule cong :premises (@p1423) :args (@t2074)) % 1.02/1.26 (step @p1425 :rule nary_cong :premises (@p1424 @p1422) :args (@t2075)) % 1.02/1.26 (step @p1426 :rule cong :premises (@p1425) :args ((forall @t295 @t2075))) % 1.02/1.26 (step @p1427 :rule bool-impl-elim :args (@t790 @t129)) % 1.02/1.26 (step @p1428 :rule cong :premises (@p1427) :args (@t791)) % 1.02/1.26 (step @p1429 :rule trans :premises (@p1428 @p1426)) % 1.02/1.26 (step @p1430 :rule refl :args (tptp.upairequniteq)) % 1.02/1.26 (step @p1431 :rule cong :premises (@p1430 @p1429) :args (@t792)) % 1.02/1.26 (step @p1432 :rule eq_resolve :premises (@p169 @p1431)) % 1.02/1.26 (step @p1433 :rule cong :premises (@p1432 @p1421) :args (@t2076)) % 1.02/1.26 (step @p1434 :rule aci_norm :args ((= (or @t1174 false @t786) @t1175))) % 1.02/1.26 (step @p1435 :rule refl :args (@t786)) % 1.02/1.26 (step @p1436 :rule evaluate :args (@t2077)) % 1.02/1.26 (step @p1437 :rule eq-refl :args (@t381)) % 1.02/1.26 (step @p1438 :rule cong :premises (@p1437) :args (@t2078)) % 1.02/1.26 (step @p1439 :rule trans :premises (@p1438 @p1436)) % 1.02/1.26 (step @p1440 :rule refl :args (@t1174)) % 1.02/1.26 (step @p1441 :rule nary_cong :premises (@p1440 @p1439 @p1435) :args (@t2079)) % 1.02/1.26 (step @p1442 :rule trans :premises (@p1441 @p1434)) % 1.02/1.26 (step @p1443 :rule cong :premises (@p1442) :args ((forall @t1176 @t2079))) % 1.02/1.26 (step @p1444 :rule quant-var-elim-eq :args ((= (forall @t2082 @t2081) @t2079))) % 1.02/1.26 (step @p1445 :rule aci_norm :args ((= @t2083 @t2081))) % 1.02/1.26 (step @p1446 :rule cong :premises (@p1445) :args (@t2084)) % 1.02/1.26 (step @p1447 :rule trans :premises (@p1446 @p1444)) % 1.02/1.26 (step @p1448 :rule cong :premises (@p1447) :args (@t2085)) % 1.02/1.26 (step @p1449 :rule quant-merge-prenex :args ((= @t2085 @t2086))) % 1.02/1.26 (step @p1450 :rule symm :premises (@p1449)) % 1.02/1.26 (step @p1451 :rule quant_var_reordering :args ((= (forall @t772 @t2083) @t2086))) % 1.02/1.26 (step @p1452 :rule trans :premises (@p1451 @p1450 @p1448)) % 1.02/1.26 (step @p1453 :rule trans :premises (@p1452 @p1443)) % 1.02/1.26 (step @p1454 :rule refl :args (@t2080)) % 1.02/1.26 (step @p1455 :rule nary_cong :premises (@p1412 @p1454 @p1307) :args (@t2087)) % 1.02/1.26 (step @p1456 :rule cong :premises (@p1455) :args ((forall @t772 @t2087))) % 1.02/1.26 (step @p1457 :rule trans :premises (@p1456 @p1453)) % 1.02/1.26 (step @p1458 :rule aci_norm :args ((= (or @t2071 (or @t2080 @t786)) @t2087))) % 1.02/1.26 (step @p1459 :rule bool-impl-elim :args (@t385 @t786)) % 1.02/1.26 (step @p1460 :rule refl :args (@t2071)) % 1.02/1.26 (step @p1461 :rule nary_cong :premises (@p1460 @p1459) :args ((or @t2071 @t787))) % 1.02/1.26 (step @p1462 :rule trans :premises (@p1461 @p1458)) % 1.02/1.26 (step @p1463 :rule bool-impl-elim :args (@t771 @t787)) % 1.02/1.26 (step @p1464 :rule trans :premises (@p1463 @p1462)) % 1.02/1.26 (step @p1465 :rule cong :premises (@p1464) :args (@t788)) % 1.02/1.26 (step @p1466 :rule trans :premises (@p1465 @p1457)) % 1.02/1.26 (step @p1467 :rule refl :args (tptp.setukpairinjR1)) % 1.02/1.26 (step @p1468 :rule cong :premises (@p1467 @p1466) :args (@t789)) % 1.02/1.26 (step @p1469 :rule eq_resolve :premises (@p168 @p1468)) % 1.02/1.26 (step @p1470 :rule cong :premises (@p1469 @p1433) :args (@t2088)) % 1.02/1.26 (step @p1471 :rule aci_norm :args ((= (or false @t1179) @t1179))) % 1.02/1.26 (step @p1472 :rule refl :args (@t1179)) % 1.02/1.26 (step @p1473 :rule eq-refl :args (@t19)) % 1.02/1.26 (step @p1474 :rule cong :premises (@p1473) :args (@t2089)) % 1.02/1.26 (step @p1475 :rule trans :premises (@p1474 @p1436)) % 1.02/1.26 (step @p1476 :rule nary_cong :premises (@p1475 @p1472) :args (@t2090)) % 1.02/1.26 (step @p1477 :rule trans :premises (@p1476 @p1471)) % 1.02/1.26 (step @p1478 :rule cong :premises (@p1477) :args ((forall @t70 @t2090))) % 1.02/1.26 (step @p1479 :rule quant-var-elim-eq :args ((= (forall @t9 @t2093) @t2090))) % 1.02/1.26 (step @p1480 :rule aci_norm :args ((= @t2094 @t2093))) % 1.02/1.26 (step @p1481 :rule cong :premises (@p1480) :args (@t2095)) % 1.02/1.26 (step @p1482 :rule trans :premises (@p1481 @p1479)) % 1.02/1.26 (step @p1483 :rule cong :premises (@p1482) :args (@t2096)) % 1.02/1.26 (step @p1484 :rule quant-merge-prenex :args ((= @t2096 @t2098))) % 1.02/1.26 (step @p1485 :rule symm :premises (@p1484)) % 1.02/1.26 (step @p1486 :rule quant_var_reordering :args ((= (forall @t135 @t2094) @t2098))) % 1.02/1.26 (step @p1487 :rule trans :premises (@p1486 @p1485 @p1483)) % 1.02/1.26 (step @p1488 :rule trans :premises (@p1487 @p1478)) % 1.02/1.26 (step @p1489 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 1.02/1.26 (step @p1490 :rule cong :premises (@p1282 @p248) :args (@t2091)) % 1.02/1.26 (step @p1491 :rule trans :premises (@p1490 @p1489)) % 1.02/1.26 (step @p1492 :rule ho_cong :premises (@p1381 @p248)) % 1.02/1.26 (step @p1493 :rule cong :premises (@p1492 @p1491) :args ((= (_ @t2070 tptp.emptyset) @t2091))) % 1.02/1.26 (step @p1494 :rule symm :premises (@p1493)) % 1.02/1.26 (step @p1495 :rule refl :args (@t782)) % 1.02/1.26 (step @p1496 :rule eq_resolve :premises (@p1495 @p1494)) % 1.02/1.26 (step @p1497 :rule ho_cong :premises (@p1408 @p248)) % 1.02/1.26 (step @p1498 :rule trans :premises (@p1497 @p1496)) % 1.02/1.26 (step @p1499 :rule cong :premises (@p1410 @p1498) :args (@t783)) % 1.02/1.26 (step @p1500 :rule refl :args (@t282)) % 1.02/1.26 (step @p1501 :rule nary_cong :premises (@p1500 @p1499) :args (@t2099)) % 1.02/1.26 (step @p1502 :rule cong :premises (@p1501) :args ((forall @t135 @t2099))) % 1.02/1.26 (step @p1503 :rule trans :premises (@p1502 @p1488)) % 1.02/1.26 (step @p1504 :rule bool-impl-elim :args (@t129 @t783)) % 1.02/1.26 (step @p1505 :rule cong :premises (@p1504) :args (@t784)) % 1.02/1.26 (step @p1506 :rule trans :premises (@p1505 @p1503)) % 1.02/1.26 (step @p1507 :rule refl :args (tptp.setukpairinjR12)) % 1.02/1.26 (step @p1508 :rule cong :premises (@p1507 @p1506) :args (@t785)) % 1.02/1.26 (step @p1509 :rule eq_resolve :premises (@p167 @p1508)) % 1.02/1.26 (step @p1510 :rule cong :premises (@p1509 @p1470) :args (@t2100)) % 1.02/1.26 (step @p1511 :rule aci_norm :args ((= (or false @t1181) @t1181))) % 1.02/1.26 (step @p1512 :rule refl :args (@t1181)) % 1.02/1.26 (step @p1513 :rule nary_cong :premises (@p1475 @p1512) :args (@t2101)) % 1.02/1.26 (step @p1514 :rule trans :premises (@p1513 @p1511)) % 1.02/1.26 (step @p1515 :rule cong :premises (@p1514) :args ((forall @t70 @t2101))) % 1.02/1.26 (step @p1516 :rule quant-var-elim-eq :args ((= (forall @t9 @t2103) @t2101))) % 1.02/1.26 (step @p1517 :rule aci_norm :args ((= @t2104 @t2103))) % 1.02/1.26 (step @p1518 :rule cong :premises (@p1517) :args (@t2105)) % 1.02/1.26 (step @p1519 :rule trans :premises (@p1518 @p1516)) % 1.02/1.26 (step @p1520 :rule cong :premises (@p1519) :args (@t2106)) % 1.02/1.26 (step @p1521 :rule quant-merge-prenex :args ((= @t2106 @t2107))) % 1.02/1.26 (step @p1522 :rule symm :premises (@p1521)) % 1.02/1.26 (step @p1523 :rule quant_var_reordering :args ((= (forall @t135 @t2104) @t2107))) % 1.02/1.26 (step @p1524 :rule trans :premises (@p1523 @p1522 @p1520)) % 1.02/1.26 (step @p1525 :rule trans :premises (@p1524 @p1515)) % 1.02/1.26 (step @p1526 :rule cong :premises (@p1286 @p1404) :args (@t2108)) % 1.02/1.26 (step @p1527 :rule nary_cong :premises (@p1500 @p1526) :args (@t2109)) % 1.02/1.26 (step @p1528 :rule cong :premises (@p1527) :args ((forall @t135 @t2109))) % 1.02/1.26 (step @p1529 :rule trans :premises (@p1528 @p1525)) % 1.02/1.26 (step @p1530 :rule bool-impl-elim :args (@t129 @t2108)) % 1.02/1.26 (step @p1531 :rule cong :premises (@p1530) :args ((forall @t135 (=> @t129 @t2108)))) % 1.02/1.26 (step @p1532 :rule trans :premises (@p1531 @p1529)) % 1.02/1.26 (step @p1533 :rule eq-symm :args (@t291 @t279)) % 1.02/1.26 (step @p1534 :rule refl :args (@t129)) % 1.02/1.26 (step @p1535 :rule cong :premises (@p1534 @p1533) :args (@t779)) % 1.02/1.26 (step @p1536 :rule cong :premises (@p1535) :args (@t780)) % 1.02/1.26 (step @p1537 :rule trans :premises (@p1536 @p1532)) % 1.02/1.26 (step @p1538 :rule refl :args (tptp.setukpairinjR11)) % 1.02/1.26 (step @p1539 :rule cong :premises (@p1538 @p1537) :args (@t781)) % 1.02/1.26 (step @p1540 :rule eq_resolve :premises (@p166 @p1539)) % 1.02/1.26 (step @p1541 :rule cong :premises (@p1540 @p1510) :args (@t2110)) % 1.02/1.26 (step @p1542 :rule refl :args (@t740)) % 1.02/1.26 (step @p1543 :rule nary_cong :premises (@p1314 @p1542) :args (@t2111)) % 1.02/1.26 (step @p1544 :rule cong :premises (@p1543) :args ((forall @t772 @t2111))) % 1.02/1.26 (step @p1545 :rule bool-impl-elim :args (@t776 @t740)) % 1.02/1.26 (step @p1546 :rule cong :premises (@p1545) :args (@t777)) % 1.02/1.26 (step @p1547 :rule trans :premises (@p1546 @p1544)) % 1.02/1.26 (step @p1548 :rule refl :args (tptp.setukpairinjL)) % 1.02/1.26 (step @p1549 :rule cong :premises (@p1548 @p1547) :args (@t778)) % 1.02/1.26 (step @p1550 :rule eq_resolve :premises (@p165 @p1549)) % 1.02/1.26 (step @p1551 :rule cong :premises (@p1550 @p1541) :args (@t2112)) % 1.02/1.26 (step @p1552 :rule nary_cong :premises (@p1412 @p1542) :args (@t2113)) % 1.02/1.26 (step @p1553 :rule cong :premises (@p1552) :args ((forall @t772 @t2113))) % 1.02/1.26 (step @p1554 :rule bool-impl-elim :args (@t771 @t740)) % 1.02/1.26 (step @p1555 :rule cong :premises (@p1554) :args (@t773)) % 1.02/1.26 (step @p1556 :rule trans :premises (@p1555 @p1553)) % 1.02/1.26 (step @p1557 :rule refl :args (tptp.setukpairinjL2)) % 1.02/1.26 (step @p1558 :rule cong :premises (@p1557 @p1556) :args (@t774)) % 1.02/1.26 (step @p1559 :rule eq_resolve :premises (@p164 @p1558)) % 1.02/1.26 (step @p1560 :rule cong :premises (@p1559 @p1551) :args (@t2114)) % 1.02/1.26 (step @p1561 :rule refl :args ((tptp.in @t763 @t2))) % 1.02/1.26 (step @p1562 :rule cong :premises (@p972 @p1287) :args (@t1185)) % 1.02/1.26 (step @p1563 :rule trans :premises (@p1562 @p1561)) % 1.02/1.26 (step @p1564 :rule ho_cong :premises (@p697 @p972)) % 1.02/1.26 (step @p1565 :rule ho_cong :premises (@p1564 @p1287)) % 1.02/1.26 (step @p1566 :rule cong :premises (@p1565 @p1563) :args ((= (_ (_ tptp.in @t1120) @t2) @t1185))) % 1.02/1.26 (step @p1567 :rule symm :premises (@p1566)) % 1.02/1.26 (step @p1568 :rule refl :args (@t764)) % 1.02/1.26 (step @p1569 :rule eq_resolve :premises (@p1568 @p1567)) % 1.02/1.26 (step @p1570 :rule ho_cong :premises (@p697 @p989)) % 1.02/1.26 (step @p1571 :rule ho_cong :premises (@p1570 @p1287)) % 1.02/1.26 (step @p1572 :rule trans :premises (@p1571 @p1569)) % 1.02/1.26 (step @p1573 :rule nary_cong :premises (@p1005 @p1572) :args (@t2115)) % 1.02/1.26 (step @p1574 :rule cong :premises (@p1573) :args ((forall @t686 @t2115))) % 1.02/1.26 (step @p1575 :rule bool-impl-elim :args (@t684 @t764)) % 1.02/1.26 (step @p1576 :rule cong :premises (@p1575) :args (@t765)) % 1.02/1.26 (step @p1577 :rule trans :premises (@p1576 @p1574)) % 1.02/1.26 (step @p1578 :rule refl :args (tptp.cartprodfstin)) % 1.02/1.26 (step @p1579 :rule cong :premises (@p1578 @p1577) :args (@t766)) % 1.02/1.26 (step @p1580 :rule eq_resolve :premises (@p163 @p1579)) % 1.02/1.26 (step @p1581 :rule cong :premises (@p1580 @p1560) :args (@t2116)) % 1.02/1.26 (step @p1582 :rule cong :premises (@p1097) :args ((forall @t135 @t2023))) % 1.02/1.26 (step @p1583 :rule cong :premises (@p1103) :args (@t761)) % 1.02/1.26 (step @p1584 :rule trans :premises (@p1583 @p1582)) % 1.02/1.26 (step @p1585 :rule refl :args (tptp.kfstpairEq)) % 1.02/1.26 (step @p1586 :rule cong :premises (@p1585 @p1584) :args (@t762)) % 1.02/1.26 (step @p1587 :rule eq_resolve :premises (@p162 @p1586)) % 1.02/1.26 (step @p1588 :rule cong :premises (@p1587 @p1581) :args (@t2117)) % 1.02/1.26 (step @p1589 :rule aci_norm :args ((= (or @t1193 @t1192 false) @t1194))) % 1.02/1.26 (step @p1590 :rule eq-refl :args (@t1191)) % 1.02/1.26 (step @p1591 :rule cong :premises (@p1590) :args (@t2118)) % 1.02/1.26 (step @p1592 :rule trans :premises (@p1591 @p1436)) % 1.02/1.26 (step @p1593 :rule refl :args (@t1192)) % 1.02/1.26 (step @p1594 :rule refl :args (@t1193)) % 1.02/1.26 (step @p1595 :rule nary_cong :premises (@p1594 @p1593 @p1592) :args (@t2119)) % 1.02/1.26 (step @p1596 :rule trans :premises (@p1595 @p1589)) % 1.02/1.26 (step @p1597 :rule cong :premises (@p1596) :args ((forall @t1195 @t2119))) % 1.02/1.26 (step @p1598 :rule quant-var-elim-eq :args ((= (forall @t696 @t2124) @t2119))) % 1.02/1.26 (step @p1599 :rule aci_norm :args ((= @t2125 @t2124))) % 1.02/1.26 (step @p1600 :rule cong :premises (@p1599) :args (@t2126)) % 1.02/1.26 (step @p1601 :rule trans :premises (@p1600 @p1598)) % 1.02/1.26 (step @p1602 :rule cong :premises (@p1601) :args (@t2127)) % 1.02/1.26 (step @p1603 :rule quant-merge-prenex :args ((= @t2127 @t2128))) % 1.02/1.26 (step @p1604 :rule symm :premises (@p1603)) % 1.02/1.26 (step @p1605 :rule quant_var_reordering :args ((= (forall @t2129 @t2125) @t2128))) % 1.02/1.26 (step @p1606 :rule trans :premises (@p1605 @p1604 @p1602)) % 1.02/1.26 (step @p1607 :rule trans :premises (@p1606 @p1597)) % 1.02/1.26 (step @p1608 :rule aci_norm :args ((= @t2131 @t2125))) % 1.02/1.26 (step @p1609 :rule cong :premises (@p1608) :args (@t2132)) % 1.02/1.26 (step @p1610 :rule trans :premises (@p1609 @p1607)) % 1.02/1.26 (step @p1611 :rule quant-merge-prenex :args ((= (forall @t696 @t2133) @t2132))) % 1.02/1.26 (step @p1612 :rule refl :args (@t2123)) % 1.02/1.26 (step @p1613 :rule alpha_equiv :args (@t2134 (@list @t1190) @t1906)) % 1.02/1.26 (step @p1614 :rule nary_cong :premises (@p1613 @p1612) :args (@t2135)) % 1.02/1.26 (step @p1615 :rule quant-miniscope-or :args ((= @t2133 @t2135))) % 1.02/1.26 (step @p1616 :rule trans :premises (@p1615 @p1614)) % 1.02/1.26 (step @p1617 :rule symm :premises (@p1616)) % 1.02/1.26 (step @p1618 :rule cong :premises (@p1617) :args ((forall @t696 (or @t2136 @t2123)))) % 1.02/1.26 (step @p1619 :rule trans :premises (@p1618 @p1611)) % 1.02/1.26 (step @p1620 :rule trans :premises (@p1619 @p1610)) % 1.02/1.26 (step @p1621 :rule refl :args ((tptp.in @t754 @t692))) % 1.02/1.26 (step @p1622 :rule refl :args (@t692)) % 1.02/1.26 (step @p1623 :rule refl :args (@t2122)) % 1.02/1.26 (step @p1624 :rule cong :premises (@p1623 @p1622) :args (@t2123)) % 1.02/1.26 (step @p1625 :rule trans :premises (@p1624 @p1621)) % 1.02/1.26 (step @p1626 :rule ho_cong :premises (@p697 @p1623)) % 1.02/1.26 (step @p1627 :rule ho_cong :premises (@p1626 @p1622)) % 1.02/1.26 (step @p1628 :rule cong :premises (@p1627 @p1625) :args ((= (_ (_ tptp.in @t2122) @t692) @t2123))) % 1.02/1.26 (step @p1629 :rule symm :premises (@p1628)) % 1.02/1.26 (step @p1630 :rule refl :args (@t755)) % 1.02/1.26 (step @p1631 :rule eq_resolve :premises (@p1630 @p1629)) % 1.02/1.26 (step @p1632 :rule refl :args (@t754)) % 1.02/1.26 (step @p1633 :rule cong :premises (@p1632 @p1623) :args ((= @t754 @t2122))) % 1.02/1.26 (step @p1634 :rule symm :premises (@p1633)) % 1.02/1.26 (step @p1635 :rule eq_resolve :premises (@p1632 @p1634)) % 1.02/1.26 (step @p1636 :rule ho_cong :premises (@p697 @p1635)) % 1.02/1.26 (step @p1637 :rule ho_cong :premises (@p1636 @p1622)) % 1.02/1.26 (step @p1638 :rule trans :premises (@p1637 @p1631)) % 1.02/1.26 (step @p1639 :rule refl :args (@t2136)) % 1.02/1.26 (step @p1640 :rule nary_cong :premises (@p1639 @p1638) :args (@t2137)) % 1.02/1.26 (step @p1641 :rule cong :premises (@p1640) :args ((forall @t696 @t2137))) % 1.02/1.26 (step @p1642 :rule trans :premises (@p1641 @p1620)) % 1.02/1.26 (step @p1643 :rule bool-double-not-elim :args (@t2136)) % 1.02/1.26 (step @p1644 :rule nary_cong :premises (@p1643 @p1630) :args ((or (not @t2138) @t755))) % 1.02/1.26 (step @p1645 :rule bool-impl-elim :args (@t2138 @t755)) % 1.02/1.26 (step @p1646 :rule trans :premises (@p1645 @p1644)) % 1.02/1.26 (step @p1647 :rule cong :premises (@p1646) :args ((forall @t696 (=> @t2138 @t755)))) % 1.02/1.26 (step @p1648 :rule trans :premises (@p1647 @p1642)) % 1.02/1.26 (step @p1649 :rule refl :args (@t755)) % 1.02/1.26 (step @p1650 :rule beta-reduce :args ((= @t2139 @t2138))) % 1.02/1.26 (step @p1651 :rule cong :premises (@p1650 @p1649) :args (@t2140)) % 1.02/1.26 (step @p1652 :rule cong :premises (@p1651) :args (@t2141)) % 1.02/1.26 (step @p1653 :rule trans :premises (@p1652 @p1648)) % 1.02/1.26 (step @p1654 :rule refl :args (tptp.theprop)) % 1.02/1.26 (step @p1655 :rule cong :premises (@p1654 @p1653) :args ((= tptp.theprop @t2141))) % 1.02/1.26 (step @p1656 :rule refl :args (@t692)) % 1.02/1.26 (step @p1657 :rule ho_cong :premises (@p1299 @p1656)) % 1.02/1.26 (step @p1658 :rule cong :premises (@p1657 @p1649) :args (@t756)) % 1.02/1.26 (step @p1659 :rule cong :premises (@p1658) :args (@t757)) % 1.02/1.26 (step @p1660 :rule cong :premises (@p1654 @p1659) :args (@t758)) % 1.02/1.26 (step @p1661 :rule trans :premises (@p1660 @p1655)) % 1.02/1.26 (step @p1662 :rule eq_resolve :premises (@p161 @p1661)) % 1.02/1.26 (step @p1663 :rule cong :premises (@p1662 @p1588) :args (@t2142)) % 1.02/1.26 (step @p1664 :rule refl :args (@t1203)) % 1.02/1.26 (step @p1665 :rule nary_cong :premises (@p1191 @p1664) :args (@t2143)) % 1.02/1.26 (step @p1666 :rule cong :premises (@p1665) :args ((forall @t751 @t2143))) % 1.02/1.26 (step @p1667 :rule bool-impl-elim :args (@t689 @t1203)) % 1.02/1.26 (step @p1668 :rule cong :premises (@p1667) :args ((forall @t751 (=> @t689 @t1203)))) % 1.02/1.26 (step @p1669 :rule trans :premises (@p1668 @p1666)) % 1.02/1.26 (step @p1670 :rule refl :args ((tptp.dsetconstr @t747 @t2146))) % 1.02/1.26 (step @p1671 :rule refl :args ((tptp.in @t2144 @t381))) % 1.02/1.26 (step @p1672 :rule refl :args (@t1198)) % 1.02/1.26 (step @p1673 :rule cong :premises (@p1672 @p679) :args (@t1199)) % 1.02/1.26 (step @p1674 :rule trans :premises (@p1673 @p1671)) % 1.02/1.26 (step @p1675 :rule cong :premises (@p1674) :args (@t1201)) % 1.02/1.26 (step @p1676 :rule cong :premises (@p1225 @p1675) :args (@t1202)) % 1.02/1.26 (step @p1677 :rule trans :premises (@p1676 @p1670)) % 1.02/1.26 (step @p1678 :rule ho_cong :premises (@p1228 @p1675)) % 1.02/1.26 (step @p1679 :rule cong :premises (@p1678 @p1677) :args ((= (_ @t2042 @t1201) @t1202))) % 1.02/1.26 (step @p1680 :rule symm :premises (@p1679)) % 1.02/1.26 (step @p1681 :rule refl :args (@t2147)) % 1.02/1.26 (step @p1682 :rule eq_resolve :premises (@p1681 @p1680)) % 1.02/1.26 (step @p1683 :rule ho_cong :premises (@p697 @p1672)) % 1.02/1.26 (step @p1684 :rule ho_cong :premises (@p1683 @p679)) % 1.02/1.26 (step @p1685 :rule cong :premises (@p1684 @p1674) :args ((= (_ (_ tptp.in @t1198) @t381) @t1199))) % 1.02/1.26 (step @p1686 :rule symm :premises (@p1685)) % 1.02/1.26 (step @p1687 :rule refl :args (@t2145)) % 1.02/1.26 (step @p1688 :rule eq_resolve :premises (@p1687 @p1686)) % 1.02/1.26 (step @p1689 :rule refl :args (@t2144)) % 1.02/1.26 (step @p1690 :rule cong :premises (@p1689 @p1672) :args ((= @t2144 @t1198))) % 1.02/1.26 (step @p1691 :rule symm :premises (@p1690)) % 1.02/1.26 (step @p1692 :rule eq_resolve :premises (@p1689 @p1691)) % 1.02/1.26 (step @p1693 :rule ho_cong :premises (@p697 @p1692)) % 1.02/1.26 (step @p1694 :rule ho_cong :premises (@p1693 @p679)) % 1.02/1.26 (step @p1695 :rule trans :premises (@p1694 @p1688)) % 1.02/1.26 (step @p1696 :rule cong :premises (@p1695) :args (@t2146)) % 1.02/1.26 (step @p1697 :rule ho_cong :premises (@p1247 @p1696)) % 1.02/1.26 (step @p1698 :rule trans :premises (@p1697 @p1682)) % 1.02/1.26 (step @p1699 :rule cong :premises (@p1250 @p1698) :args (@t2148)) % 1.02/1.26 (step @p1700 :rule cong :premises (@p1699) :args (@t2149)) % 1.02/1.26 (step @p1701 :rule cong :premises (@p1096 @p1698) :args (@t2150)) % 1.02/1.26 (step @p1702 :rule cong :premises (@p1701) :args (@t2151)) % 1.02/1.26 (step @p1703 :rule nary_cong :premises (@p1702 @p1700) :args (@t2152)) % 1.02/1.26 (step @p1704 :rule cong :premises (@p1703) :args ((forall @t9 @t2152))) % 1.02/1.26 (step @p1705 :rule alpha_equiv :args (@t746 @t1906 (@list @t1197))) % 1.02/1.26 (step @p1706 :rule ho_cong :premises (@p1258 @p1705)) % 1.02/1.26 (step @p1707 :rule cong :premises (@p1250 @p1706) :args (@t2153)) % 1.02/1.26 (step @p1708 :rule cong :premises (@p1707) :args (@t2154)) % 1.02/1.26 (step @p1709 :rule cong :premises (@p1096 @p1706) :args (@t2155)) % 1.02/1.26 (step @p1710 :rule cong :premises (@p1709) :args (@t2156)) % 1.02/1.26 (step @p1711 :rule nary_cong :premises (@p1710 @p1708) :args (@t2157)) % 1.02/1.26 (step @p1712 :rule cong :premises (@p1711) :args ((forall @t9 @t2157))) % 1.02/1.26 (step @p1713 :rule trans :premises (@p1712 @p1704)) % 1.02/1.26 (step @p1714 :rule eq-symm :args (@t749 @t1156)) % 1.02/1.26 (step @p1715 :rule cong :premises (@p1714) :args (@t2158)) % 1.02/1.26 (step @p1716 :rule refl :args (@t2156)) % 1.02/1.26 (step @p1717 :rule nary_cong :premises (@p1716 @p1715) :args (@t2159)) % 1.02/1.26 (step @p1718 :rule cong :premises (@p1717) :args (@t2160)) % 1.02/1.26 (step @p1719 :rule trans :premises (@p1718 @p1713)) % 1.02/1.26 (step @p1720 :rule cong :premises (@p1719) :args (@t2161)) % 1.02/1.26 (step @p1721 :rule beta-reduce :args ((= @t2162 @t2161))) % 1.02/1.26 (step @p1722 :rule trans :premises (@p1721 @p1720)) % 1.02/1.26 (step @p1723 :rule cong :premises (@p1197 @p1722) :args (@t2163)) % 1.02/1.26 (step @p1724 :rule cong :premises (@p1723) :args (@t2164)) % 1.02/1.26 (step @p1725 :rule trans :premises (@p1724 @p1669)) % 1.02/1.26 (step @p1726 :rule refl :args (tptp.kfstsingleton)) % 1.02/1.26 (step @p1727 :rule cong :premises (@p1726 @p1725) :args ((= tptp.kfstsingleton @t2164))) % 1.02/1.26 (step @p1728 :rule refl :args (@t749)) % 1.02/1.26 (step @p1729 :rule ho_cong :premises (@p1299 @p1728)) % 1.02/1.26 (step @p1730 :rule cong :premises (@p1197 @p1729) :args (@t750)) % 1.02/1.26 (step @p1731 :rule cong :premises (@p1730) :args (@t752)) % 1.02/1.26 (step @p1732 :rule cong :premises (@p1726 @p1731) :args (@t753)) % 1.02/1.26 (step @p1733 :rule trans :premises (@p1732 @p1727)) % 1.02/1.26 (step @p1734 :rule eq_resolve :premises (@p160 @p1733)) % 1.02/1.26 (step @p1735 :rule cong :premises (@p1734 @p1663) :args (@t2165)) % 1.02/1.26 (step @p1736 :rule refl :args ((tptp.in @t742 @t618))) % 1.02/1.26 (step @p1737 :rule cong :premises (@p1333 @p1380) :args (@t1205)) % 1.02/1.26 (step @p1738 :rule trans :premises (@p1737 @p1736)) % 1.02/1.26 (step @p1739 :rule ho_cong :premises (@p697 @p1333)) % 1.02/1.26 (step @p1740 :rule ho_cong :premises (@p1739 @p1380)) % 1.02/1.26 (step @p1741 :rule cong :premises (@p1740 @p1738) :args ((= (_ (_ tptp.in @t1165) @t1170) @t1205))) % 1.02/1.26 (step @p1742 :rule symm :premises (@p1741)) % 1.02/1.26 (step @p1743 :rule refl :args (@t743)) % 1.02/1.26 (step @p1744 :rule eq_resolve :premises (@p1743 @p1742)) % 1.02/1.26 (step @p1745 :rule ho_cong :premises (@p697 @p1367)) % 1.02/1.26 (step @p1746 :rule ho_cong :premises (@p1745 @p1410)) % 1.02/1.26 (step @p1747 :rule trans :premises (@p1746 @p1744)) % 1.02/1.26 (step @p1748 :rule cong :premises (@p1747) :args (@t2166)) % 1.02/1.26 (step @p1749 :rule nary_cong :premises (@p1748 @p1542) :args (@t2167)) % 1.02/1.26 (step @p1750 :rule cong :premises (@p1749) :args ((forall @t295 @t2167))) % 1.02/1.26 (step @p1751 :rule bool-impl-elim :args (@t743 @t740)) % 1.02/1.26 (step @p1752 :rule cong :premises (@p1751) :args (@t744)) % 1.02/1.26 (step @p1753 :rule trans :premises (@p1752 @p1750)) % 1.02/1.26 (step @p1754 :rule refl :args (tptp.setukpairinjL1)) % 1.02/1.26 (step @p1755 :rule cong :premises (@p1754 @p1753) :args (@t745)) % 1.02/1.26 (step @p1756 :rule eq_resolve :premises (@p159 @p1755)) % 1.02/1.26 (step @p1757 :rule cong :premises (@p1756 @p1735) :args (@t2168)) % 1.02/1.26 (step @p1758 :rule eq-symm :args (@t1167 @t1156)) % 1.02/1.26 (step @p1759 :rule cong :premises (@p1758) :args (@t2169)) % 1.02/1.26 (step @p1760 :rule nary_cong :premises (@p1759 @p1534) :args (@t2170)) % 1.02/1.26 (step @p1761 :rule cong :premises (@p1760) :args ((forall @t135 @t2170))) % 1.02/1.26 (step @p1762 :rule cong :premises (@p1402 @p1286) :args (@t2171)) % 1.02/1.26 (step @p1763 :rule cong :premises (@p1762) :args (@t2172)) % 1.02/1.26 (step @p1764 :rule nary_cong :premises (@p1763 @p1422) :args (@t2173)) % 1.02/1.26 (step @p1765 :rule cong :premises (@p1764) :args ((forall @t135 @t2173))) % 1.02/1.26 (step @p1766 :rule trans :premises (@p1765 @p1761)) % 1.02/1.26 (step @p1767 :rule bool-impl-elim :args (@t2171 @t129)) % 1.02/1.26 (step @p1768 :rule cong :premises (@p1767) :args ((forall @t135 (=> @t2171 @t129)))) % 1.02/1.26 (step @p1769 :rule trans :premises (@p1768 @p1766)) % 1.02/1.26 (step @p1770 :rule eq-symm :args (@t279 @t275)) % 1.02/1.26 (step @p1771 :rule cong :premises (@p1770 @p1534) :args (@t737)) % 1.02/1.26 (step @p1772 :rule cong :premises (@p1771) :args (@t738)) % 1.02/1.26 (step @p1773 :rule trans :premises (@p1772 @p1769)) % 1.02/1.26 (step @p1774 :rule refl :args (tptp.singletonsuniq)) % 1.02/1.26 (step @p1775 :rule cong :premises (@p1774 @p1773) :args (@t739)) % 1.02/1.26 (step @p1776 :rule eq_resolve :premises (@p158 @p1775)) % 1.02/1.26 (step @p1777 :rule cong :premises (@p1776 @p1757) :args (@t2174)) % 1.02/1.26 (step @p1778 :rule aci_norm :args ((= @t2176 @t1226))) % 1.02/1.26 (step @p1779 :rule cong :premises (@p1778) :args (@t2177)) % 1.02/1.26 (step @p1780 :rule quant-merge-prenex :args ((= (forall @t309 @t2179) @t2177))) % 1.02/1.26 (step @p1781 :rule refl :args (@t1215)) % 1.02/1.26 (step @p1782 :rule alpha_equiv :args (@t2180 (@list @t1208) @t1906)) % 1.02/1.26 (step @p1783 :rule refl :args (@t1225)) % 1.02/1.26 (step @p1784 :rule nary_cong :premises (@p1783 @p1782 @p1781) :args (@t2181)) % 1.02/1.26 (step @p1785 :rule quant-miniscope-or :args ((= @t2179 @t2181))) % 1.02/1.26 (step @p1786 :rule trans :premises (@p1785 @p1784)) % 1.02/1.26 (step @p1787 :rule symm :premises (@p1786)) % 1.02/1.26 (step @p1788 :rule cong :premises (@p1787) :args ((forall @t309 @t2182))) % 1.02/1.26 (step @p1789 :rule trans :premises (@p1788 @p1780)) % 1.02/1.26 (step @p1790 :rule trans :premises (@p1789 @p1779)) % 1.02/1.26 (step @p1791 :rule aci_norm :args ((= (or @t1225 (or @t1244 @t1215)) @t2182))) % 1.02/1.26 (step @p1792 :rule bool-double-not-elim :args (@t1244)) % 1.02/1.26 (step @p1793 :rule nary_cong :premises (@p1792 @p1781) :args ((or @t2183 @t1215))) % 1.02/1.26 (step @p1794 :rule bool-impl-elim :args (@t1245 @t1215)) % 1.02/1.26 (step @p1795 :rule trans :premises (@p1794 @p1793)) % 1.02/1.26 (step @p1796 :rule nary_cong :premises (@p1783 @p1795) :args ((or @t1225 @t2184))) % 1.02/1.26 (step @p1797 :rule trans :premises (@p1796 @p1791)) % 1.02/1.26 (step @p1798 :rule bool-impl-elim :args (@t1224 @t2184)) % 1.02/1.26 (step @p1799 :rule trans :premises (@p1798 @p1797)) % 1.02/1.26 (step @p1800 :rule cong :premises (@p1799) :args ((forall @t309 (=> @t1224 @t2184)))) % 1.02/1.26 (step @p1801 :rule trans :premises (@p1800 @p1790)) % 1.02/1.26 (step @p1802 :rule lambda-elim :args ((= @t2188 @t143))) % 1.02/1.26 (step @p1803 :rule cong :premises (@p789 @p1802) :args (@t2189)) % 1.02/1.26 (step @p1804 :rule refl :args (@t1156)) % 1.02/1.26 (step @p1805 :rule cong :premises (@p1804 @p1803) :args (@t2190)) % 1.02/1.26 (step @p1806 :rule cong :premises (@p1805) :args (@t2191)) % 1.02/1.26 (step @p1807 :rule refl :args (@t4)) % 1.02/1.26 (step @p1808 :rule cong :premises (@p1807 @p1803) :args (@t2192)) % 1.02/1.26 (step @p1809 :rule cong :premises (@p1808) :args (@t2193)) % 1.02/1.26 (step @p1810 :rule nary_cong :premises (@p1809 @p1806) :args (@t2194)) % 1.02/1.26 (step @p1811 :rule cong :premises (@p1810) :args ((forall @t9 @t2194))) % 1.02/1.26 (step @p1812 :rule refl :args (@t2186)) % 1.02/1.26 (step @p1813 :rule refl :args (@t2195)) % 1.02/1.26 (step @p1814 :rule cong :premises (@p1813 @p1812) :args ((= @t2195 @t2186))) % 1.02/1.26 (step @p1815 :rule symm :premises (@p1814)) % 1.02/1.26 (step @p1816 :rule eq_resolve :premises (@p1813 @p1815)) % 1.02/1.26 (step @p1817 :rule cong :premises (@p1816) :args (@t2196)) % 1.02/1.26 (step @p1818 :rule cong :premises (@p1287 @p1817) :args (@t2197)) % 1.02/1.26 (step @p1819 :rule cong :premises (@p1250 @p1818) :args (@t2198)) % 1.02/1.26 (step @p1820 :rule cong :premises (@p1819) :args (@t2199)) % 1.02/1.26 (step @p1821 :rule cong :premises (@p1096 @p1818) :args (@t2200)) % 1.02/1.26 (step @p1822 :rule cong :premises (@p1821) :args (@t2201)) % 1.02/1.26 (step @p1823 :rule nary_cong :premises (@p1822 @p1820) :args (@t2202)) % 1.02/1.26 (step @p1824 :rule cong :premises (@p1823) :args ((forall @t9 @t2202))) % 1.02/1.26 (step @p1825 :rule trans :premises (@p1824 @p1811)) % 1.02/1.26 (step @p1826 :rule alpha_equiv :args (@t145 @t1906 (@list @t2185))) % 1.02/1.26 (step @p1827 :rule cong :premises (@p1287 @p1826) :args (@t2203)) % 1.02/1.26 (step @p1828 :rule cong :premises (@p1250 @p1827) :args (@t2204)) % 1.02/1.26 (step @p1829 :rule cong :premises (@p1828) :args (@t2205)) % 1.02/1.26 (step @p1830 :rule cong :premises (@p1096 @p1827) :args (@t2206)) % 1.02/1.26 (step @p1831 :rule cong :premises (@p1830) :args (@t2207)) % 1.02/1.26 (step @p1832 :rule nary_cong :premises (@p1831 @p1829) :args (@t2208)) % 1.02/1.26 (step @p1833 :rule cong :premises (@p1832) :args (@t2209)) % 1.02/1.26 (step @p1834 :rule trans :premises (@p1833 @p1825)) % 1.02/1.26 (step @p1835 :rule cong :premises (@p1834) :args (@t2210)) % 1.02/1.26 (step @p1836 :rule beta-reduce :args ((= (_ @t2211 @t145) @t2210))) % 1.02/1.26 (step @p1837 :rule trans :premises (@p1836 @p1835)) % 1.02/1.26 (step @p1838 :rule refl :args (@t145)) % 1.02/1.26 (step @p1839 :rule beta-reduce :args ((= @t2212 @t2211))) % 1.02/1.26 (step @p1840 :rule ho_cong :premises (@p1839 @p1838)) % 1.02/1.26 (step @p1841 :rule trans :premises (@p1840 @p1837)) % 1.02/1.26 (step @p1842 :rule refl :args (@t1220)) % 1.02/1.26 (step @p1843 :rule refl :args (@t144)) % 1.02/1.26 (step @p1844 :rule cong :premises (@p1843 @p1842) :args ((= @t144 @t1220))) % 1.02/1.26 (step @p1845 :rule symm :premises (@p1844)) % 1.02/1.26 (step @p1846 :rule eq_resolve :premises (@p1843 @p1845)) % 1.02/1.26 (step @p1847 :rule cong :premises (@p1846) :args (@t315)) % 1.02/1.26 (step @p1848 :rule nary_cong :premises (@p649 @p1847) :args (@t2213)) % 1.02/1.26 (step @p1849 :rule cong :premises (@p1848) :args ((forall @t9 @t2213))) % 1.02/1.26 (step @p1850 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 1.02/1.26 (step @p1851 :rule cong :premises (@p1850) :args (@t2214)) % 1.02/1.26 (step @p1852 :rule trans :premises (@p1851 @p1849)) % 1.02/1.26 (step @p1853 :rule cong :premises (@p1852) :args (@t2215)) % 1.02/1.26 (step @p1854 :rule exists-elim :args ((= @t307 @t2215))) % 1.02/1.26 (step @p1855 :rule trans :premises (@p1854 @p1853)) % 1.02/1.26 (step @p1856 :rule cong :premises (@p1855 @p1841) :args (@t2217)) % 1.02/1.26 (step @p1857 :rule aci_norm :args ((= @t2219 @t1222))) % 1.02/1.26 (step @p1858 :rule cong :premises (@p1857) :args (@t2220)) % 1.02/1.26 (step @p1859 :rule quant-merge-prenex :args ((= (forall @t9 @t2222) @t2220))) % 1.02/1.26 (step @p1860 :rule alpha_equiv :args (@t2223 (@list @t1216) @t1901)) % 1.02/1.26 (step @p1861 :rule refl :args (@t1221)) % 1.02/1.26 (step @p1862 :rule nary_cong :premises (@p635 @p1861 @p1860) :args (@t2224)) % 1.02/1.26 (step @p1863 :rule quant-miniscope-or :args ((= @t2222 @t2224))) % 1.02/1.26 (step @p1864 :rule trans :premises (@p1863 @p1862)) % 1.02/1.26 (step @p1865 :rule symm :premises (@p1864)) % 1.02/1.26 (step @p1866 :rule cong :premises (@p1865) :args ((forall @t9 (or @t1095 @t1221 @t1238)))) % 1.02/1.26 (step @p1867 :rule trans :premises (@p1866 @p1859)) % 1.02/1.26 (step @p1868 :rule trans :premises (@p1867 @p1858)) % 1.02/1.26 (step @p1869 :rule refl :args (@t1238)) % 1.02/1.26 (step @p1870 :rule nary_cong :premises (@p649 @p1847 @p1869) :args (@t2225)) % 1.02/1.26 (step @p1871 :rule cong :premises (@p1870) :args ((forall @t9 @t2225))) % 1.02/1.26 (step @p1872 :rule trans :premises (@p1871 @p1868)) % 1.02/1.26 (step @p1873 :rule aci_norm :args ((= (or @t197 @t2226) @t2225))) % 1.02/1.26 (step @p1874 :rule bool-impl-elim :args (@t7 @t2226)) % 1.02/1.26 (step @p1875 :rule trans :premises (@p1874 @p1873)) % 1.02/1.26 (step @p1876 :rule cong :premises (@p1875) :args ((forall @t9 (=> @t7 @t2226)))) % 1.02/1.26 (step @p1877 :rule trans :premises (@p1876 @p1872)) % 1.02/1.26 (step @p1878 :rule refl :args (@t1234)) % 1.02/1.26 (step @p1879 :rule refl :args (@t153)) % 1.02/1.26 (step @p1880 :rule cong :premises (@p1879 @p1878) :args ((= @t153 @t1234))) % 1.02/1.26 (step @p1881 :rule symm :premises (@p1880)) % 1.02/1.26 (step @p1882 :rule eq_resolve :premises (@p1879 @p1881)) % 1.02/1.26 (step @p1883 :rule cong :premises (@p1882) :args (@t2227)) % 1.02/1.26 (step @p1884 :rule refl :args (@t1236)) % 1.02/1.26 (step @p1885 :rule refl :args (@t21)) % 1.02/1.26 (step @p1886 :rule cong :premises (@p1885 @p1884) :args ((= @t21 @t1236))) % 1.02/1.26 (step @p1887 :rule symm :premises (@p1886)) % 1.02/1.26 (step @p1888 :rule eq_resolve :premises (@p1885 @p1887)) % 1.02/1.26 (step @p1889 :rule cong :premises (@p1888) :args (@t2228)) % 1.02/1.26 (step @p1890 :rule nary_cong :premises (@p1889 @p1883 @p1422) :args (@t2229)) % 1.02/1.26 (step @p1891 :rule cong :premises (@p1890) :args (@t2230)) % 1.02/1.26 (step @p1892 :rule refl :args (@t315)) % 1.02/1.26 (step @p1893 :rule nary_cong :premises (@p1892 @p1891) :args (@t2231)) % 1.02/1.26 (step @p1894 :rule quant-miniscope-or :args ((= (forall @t70 @t2232) @t2231))) % 1.02/1.26 (step @p1895 :rule aci_norm :args ((= @t2233 @t2232))) % 1.02/1.26 (step @p1896 :rule cong :premises (@p1895) :args ((forall @t70 @t2233))) % 1.02/1.26 (step @p1897 :rule trans :premises (@p1896 @p1894)) % 1.02/1.26 (step @p1898 :rule trans :premises (@p1897 @p1893)) % 1.02/1.26 (step @p1899 :rule aci_norm :args ((= (or @t2228 @t2234) @t2233))) % 1.02/1.26 (step @p1900 :rule aci_norm :args ((= (or @t315 @t2235) @t2234))) % 1.02/1.26 (step @p1901 :rule bool-impl-elim :args (@t153 @t129)) % 1.02/1.26 (step @p1902 :rule refl :args (@t315)) % 1.02/1.26 (step @p1903 :rule nary_cong :premises (@p1902 @p1901) :args ((or @t315 @t166))) % 1.02/1.26 (step @p1904 :rule trans :premises (@p1903 @p1900)) % 1.02/1.26 (step @p1905 :rule bool-impl-elim :args (@t144 @t166)) % 1.02/1.26 (step @p1906 :rule trans :premises (@p1905 @p1904)) % 1.02/1.26 (step @p1907 :rule refl :args (@t2228)) % 1.02/1.26 (step @p1908 :rule nary_cong :premises (@p1907 @p1906) :args ((or @t2228 @t343))) % 1.02/1.26 (step @p1909 :rule trans :premises (@p1908 @p1899)) % 1.02/1.26 (step @p1910 :rule bool-impl-elim :args (@t21 @t343)) % 1.02/1.26 (step @p1911 :rule trans :premises (@p1910 @p1909)) % 1.02/1.26 (step @p1912 :rule cong :premises (@p1911) :args (@t714)) % 1.02/1.26 (step @p1913 :rule trans :premises (@p1912 @p1898)) % 1.02/1.26 (step @p1914 :rule cong :premises (@p783 @p1913) :args (@t715)) % 1.02/1.26 (step @p1915 :rule cong :premises (@p1914) :args (@t716)) % 1.02/1.26 (step @p1916 :rule trans :premises (@p1915 @p1877)) % 1.02/1.26 (step @p1917 :rule cong :premises (@p1916 @p1856) :args (@t2236)) % 1.02/1.26 (step @p1918 :rule cong :premises (@p1917) :args (@t2237)) % 1.02/1.26 (step @p1919 :rule trans :premises (@p1918 @p1801)) % 1.02/1.26 (step @p1920 :rule refl :args (tptp.ex1I2)) % 1.02/1.26 (step @p1921 :rule cong :premises (@p1920 @p1919) :args ((= tptp.ex1I2 @t2237))) % 1.02/1.26 (step @p1922 :rule lambda-elim :args ((= @t2241 @t143))) % 1.02/1.26 (step @p1923 :rule cong :premises (@p789 @p1922) :args (@t2242)) % 1.02/1.26 (step @p1924 :rule cong :premises (@p1804 @p1923) :args (@t2243)) % 1.02/1.26 (step @p1925 :rule cong :premises (@p1924) :args (@t2244)) % 1.02/1.26 (step @p1926 :rule cong :premises (@p1807 @p1923) :args (@t2245)) % 1.02/1.26 (step @p1927 :rule cong :premises (@p1926) :args (@t2246)) % 1.02/1.26 (step @p1928 :rule nary_cong :premises (@p1927 @p1925) :args (@t2247)) % 1.02/1.26 (step @p1929 :rule cong :premises (@p1928) :args ((forall @t9 @t2247))) % 1.02/1.26 (step @p1930 :rule refl :args ((tptp.dsetconstr @t2 @t2249))) % 1.02/1.26 (step @p1931 :rule refl :args (@t2239)) % 1.02/1.26 (step @p1932 :rule cong :premises (@p1931) :args (@t2241)) % 1.02/1.26 (step @p1933 :rule cong :premises (@p1287 @p1932) :args (@t2242)) % 1.02/1.26 (step @p1934 :rule trans :premises (@p1933 @p1930)) % 1.02/1.26 (step @p1935 :rule refl :args (@t155)) % 1.02/1.26 (step @p1936 :rule ho_cong :premises (@p1935 @p1932)) % 1.02/1.26 (step @p1937 :rule cong :premises (@p1936 @p1934) :args ((= (_ @t155 @t2241) @t2242))) % 1.02/1.26 (step @p1938 :rule symm :premises (@p1937)) % 1.02/1.26 (step @p1939 :rule refl :args (@t2250)) % 1.02/1.26 (step @p1940 :rule eq_resolve :premises (@p1939 @p1938)) % 1.02/1.26 (step @p1941 :rule refl :args (@t2248)) % 1.02/1.26 (step @p1942 :rule cong :premises (@p1941 @p1931) :args ((= @t2248 @t2239))) % 1.02/1.26 (step @p1943 :rule symm :premises (@p1942)) % 1.02/1.26 (step @p1944 :rule eq_resolve :premises (@p1941 @p1943)) % 1.02/1.26 (step @p1945 :rule cong :premises (@p1944) :args (@t2249)) % 1.02/1.26 (step @p1946 :rule ho_cong :premises (@p1935 @p1945)) % 1.02/1.26 (step @p1947 :rule trans :premises (@p1946 @p1940)) % 1.02/1.26 (step @p1948 :rule cong :premises (@p1250 @p1947) :args (@t2251)) % 1.02/1.26 (step @p1949 :rule cong :premises (@p1948) :args (@t2252)) % 1.02/1.26 (step @p1950 :rule cong :premises (@p1096 @p1947) :args (@t2253)) % 1.02/1.26 (step @p1951 :rule cong :premises (@p1950) :args (@t2254)) % 1.02/1.26 (step @p1952 :rule nary_cong :premises (@p1951 @p1949) :args (@t2255)) % 1.02/1.26 (step @p1953 :rule cong :premises (@p1952) :args ((forall @t9 @t2255))) % 1.02/1.26 (step @p1954 :rule trans :premises (@p1953 @p1929)) % 1.02/1.26 (step @p1955 :rule eq-symm :args (@t2250 @t1156)) % 1.02/1.26 (step @p1956 :rule cong :premises (@p1955) :args (@t2256)) % 1.02/1.26 (step @p1957 :rule refl :args (@t2254)) % 1.02/1.26 (step @p1958 :rule nary_cong :premises (@p1957 @p1956) :args (@t2257)) % 1.02/1.26 (step @p1959 :rule cong :premises (@p1958) :args ((forall @t9 @t2257))) % 1.02/1.26 (step @p1960 :rule trans :premises (@p1959 @p1954)) % 1.02/1.26 (step @p1961 :rule alpha_equiv :args (@t145 @t1906 (@list @t2238))) % 1.02/1.26 (step @p1962 :rule ho_cong :premises (@p1935 @p1961)) % 1.02/1.26 (step @p1963 :rule cong :premises (@p1962 @p1250) :args (@t2258)) % 1.02/1.26 (step @p1964 :rule cong :premises (@p1963) :args (@t2259)) % 1.02/1.26 (step @p1965 :rule cong :premises (@p1096 @p1962) :args (@t2260)) % 1.02/1.26 (step @p1966 :rule cong :premises (@p1965) :args (@t2261)) % 1.02/1.26 (step @p1967 :rule nary_cong :premises (@p1966 @p1964) :args (@t2262)) % 1.02/1.26 (step @p1968 :rule cong :premises (@p1967) :args (@t2263)) % 1.02/1.26 (step @p1969 :rule trans :premises (@p1968 @p1960)) % 1.02/1.26 (step @p1970 :rule cong :premises (@p1969) :args (@t2264)) % 1.02/1.26 (step @p1971 :rule beta-reduce :args ((= @t2265 @t2264))) % 1.02/1.26 (step @p1972 :rule trans :premises (@p1971 @p1970)) % 1.02/1.26 (step @p1973 :rule refl :args (@t304)) % 1.02/1.26 (step @p1974 :rule ho_cong :premises (@p1299 @p1973)) % 1.02/1.26 (step @p1975 :rule trans :premises (@p1974 @p1972)) % 1.02/1.26 (step @p1976 :rule cong :premises (@p1975) :args (@t1057)) % 1.02/1.26 (step @p1977 :rule trans :premises (@p191 @p1976)) % 1.02/1.26 (step @p1978 :rule ho_cong :premises (@p1977 @p789)) % 1.02/1.26 (step @p1979 :rule ho_cong :premises (@p1978 @p1838)) % 1.02/1.26 (step @p1980 :rule refl :args (@t307)) % 1.02/1.26 (step @p1981 :rule cong :premises (@p1980 @p1979) :args (@t733)) % 1.02/1.26 (step @p1982 :rule refl :args (@t716)) % 1.02/1.26 (step @p1983 :rule cong :premises (@p1982 @p1981) :args (@t734)) % 1.02/1.26 (step @p1984 :rule cong :premises (@p1983) :args (@t735)) % 1.02/1.26 (step @p1985 :rule cong :premises (@p1920 @p1984) :args (@t736)) % 1.02/1.26 (step @p1986 :rule trans :premises (@p1985 @p1921)) % 1.02/1.26 (step @p1987 :rule eq_resolve :premises (@p157 @p1986)) % 1.02/1.26 (step @p1988 :rule cong :premises (@p1987 @p1777) :args (@t2266)) % 1.02/1.26 (step @p1989 :rule refl :args (@t1233)) % 1.02/1.26 (step @p1990 :rule refl :args (@t1239)) % 1.02/1.26 (step @p1991 :rule nary_cong :premises (@p649 @p1847 @p1990 @p1989) :args (@t2267)) % 1.02/1.26 (step @p1992 :rule cong :premises (@p1991) :args ((forall @t159 @t2267))) % 1.02/1.26 (step @p1993 :rule aci_norm :args ((= (or @t197 @t2268) @t2267))) % 1.02/1.26 (step @p1994 :rule aci_norm :args ((= (or @t315 (or @t1239 @t1233)) @t2268))) % 1.02/1.26 (step @p1995 :rule bool-impl-elim :args (@t1238 @t1233)) % 1.02/1.26 (step @p1996 :rule nary_cong :premises (@p1902 @p1995) :args ((or @t315 @t2269))) % 1.02/1.26 (step @p1997 :rule trans :premises (@p1996 @p1994)) % 1.02/1.26 (step @p1998 :rule bool-impl-elim :args (@t144 @t2269)) % 1.02/1.26 (step @p1999 :rule trans :premises (@p1998 @p1997)) % 1.02/1.26 (step @p2000 :rule nary_cong :premises (@p806 @p1999) :args ((or @t197 @t2270))) % 1.02/1.26 (step @p2001 :rule trans :premises (@p2000 @p1993)) % 1.02/1.26 (step @p2002 :rule bool-impl-elim :args (@t7 @t2270)) % 1.02/1.26 (step @p2003 :rule trans :premises (@p2002 @p2001)) % 1.02/1.26 (step @p2004 :rule cong :premises (@p2003) :args ((forall @t159 (=> @t7 @t2270)))) % 1.02/1.26 (step @p2005 :rule trans :premises (@p2004 @p1992)) % 1.02/1.26 (step @p2006 :rule eq-symm :args (@t1230 @t1211)) % 1.02/1.26 (step @p2007 :rule cong :premises (@p2006) :args (@t2271)) % 1.02/1.26 (step @p2008 :rule refl :args (@t1231)) % 1.02/1.26 (step @p2009 :rule nary_cong :premises (@p2008 @p2007) :args (@t2272)) % 1.02/1.26 (step @p2010 :rule cong :premises (@p2009) :args (@t2273)) % 1.02/1.26 (step @p2011 :rule cong :premises (@p2010) :args (@t2274)) % 1.02/1.26 (step @p2012 :rule refl :args (@t1238)) % 1.02/1.26 (step @p2013 :rule cong :premises (@p2012 @p2011) :args (@t2275)) % 1.02/1.26 (step @p2014 :rule refl :args (@t144)) % 1.02/1.26 (step @p2015 :rule cong :premises (@p2014 @p2013) :args (@t2276)) % 1.02/1.26 (step @p2016 :rule cong :premises (@p783 @p2015) :args (@t2277)) % 1.02/1.26 (step @p2017 :rule cong :premises (@p2016) :args ((forall @t159 @t2277))) % 1.02/1.26 (step @p2018 :rule trans :premises (@p2017 @p2005)) % 1.02/1.26 (step @p2019 :rule alpha_equiv :args (@t1214 @t1906 (@list @t1229))) % 1.02/1.26 (step @p2020 :rule cong :premises (@p2019) :args (@t1215)) % 1.02/1.26 (step @p2021 :rule cong :premises (@p1869 @p2020) :args (@t2278)) % 1.02/1.26 (step @p2022 :rule cong :premises (@p1843 @p2021) :args (@t2279)) % 1.02/1.26 (step @p2023 :rule cong :premises (@p645 @p2022) :args (@t2280)) % 1.02/1.26 (step @p2024 :rule cong :premises (@p2023) :args ((forall @t159 @t2280))) % 1.02/1.26 (step @p2025 :rule trans :premises (@p2024 @p2018)) % 1.02/1.26 (step @p2026 :rule lambda-elim :args ((= @t2281 @t143))) % 1.02/1.26 (step @p2027 :rule cong :premises (@p789 @p2026) :args (@t2282)) % 1.02/1.26 (step @p2028 :rule cong :premises (@p1804 @p2027) :args (@t2283)) % 1.02/1.26 (step @p2029 :rule cong :premises (@p2028) :args (@t2284)) % 1.02/1.26 (step @p2030 :rule cong :premises (@p1807 @p2027) :args (@t2285)) % 1.02/1.26 (step @p2031 :rule cong :premises (@p2030) :args (@t2286)) % 1.02/1.26 (step @p2032 :rule nary_cong :premises (@p2031 @p2029) :args (@t2287)) % 1.02/1.26 (step @p2033 :rule cong :premises (@p2032) :args ((forall @t9 @t2287))) % 1.02/1.26 (step @p2034 :rule cong :premises (@p1882) :args (@t154)) % 1.02/1.26 (step @p2035 :rule cong :premises (@p1287 @p2034) :args (@t2288)) % 1.02/1.26 (step @p2036 :rule cong :premises (@p1250 @p2035) :args (@t2289)) % 1.02/1.26 (step @p2037 :rule cong :premises (@p2036) :args (@t2290)) % 1.02/1.26 (step @p2038 :rule cong :premises (@p1096 @p2035) :args (@t2291)) % 1.02/1.26 (step @p2039 :rule cong :premises (@p2038) :args (@t2292)) % 1.02/1.26 (step @p2040 :rule nary_cong :premises (@p2039 @p2037) :args (@t2293)) % 1.02/1.26 (step @p2041 :rule cong :premises (@p2040) :args (@t2294)) % 1.02/1.26 (step @p2042 :rule trans :premises (@p2041 @p2033)) % 1.02/1.26 (step @p2043 :rule cong :premises (@p2042) :args (@t2295)) % 1.02/1.26 (step @p2044 :rule beta-reduce :args ((= (_ @t2211 @t154) @t2295))) % 1.02/1.26 (step @p2045 :rule trans :premises (@p2044 @p2043)) % 1.02/1.26 (step @p2046 :rule refl :args (@t154)) % 1.02/1.26 (step @p2047 :rule ho_cong :premises (@p1839 @p2046)) % 1.02/1.26 (step @p2048 :rule trans :premises (@p2047 @p2045)) % 1.02/1.26 (step @p2049 :rule aci_norm :args ((= (or @t2228 @t2235) @t2229))) % 1.02/1.26 (step @p2050 :rule nary_cong :premises (@p1907 @p1901) :args ((or @t2228 @t166))) % 1.02/1.26 (step @p2051 :rule trans :premises (@p2050 @p2049)) % 1.02/1.26 (step @p2052 :rule bool-impl-elim :args (@t21 @t166)) % 1.02/1.26 (step @p2053 :rule trans :premises (@p2052 @p2051)) % 1.02/1.26 (step @p2054 :rule cong :premises (@p2053) :args ((forall @t70 (=> @t21 @t166)))) % 1.02/1.26 (step @p2055 :rule trans :premises (@p2054 @p1891)) % 1.02/1.26 (step @p2056 :rule eq-symm :args (@t19 @t4)) % 1.02/1.26 (step @p2057 :rule refl :args (@t153)) % 1.02/1.26 (step @p2058 :rule cong :premises (@p2057 @p2056) :args (@t725)) % 1.02/1.26 (step @p2059 :rule refl :args (@t21)) % 1.02/1.26 (step @p2060 :rule cong :premises (@p2059 @p2058) :args (@t726)) % 1.02/1.26 (step @p2061 :rule cong :premises (@p2060) :args (@t727)) % 1.02/1.26 (step @p2062 :rule trans :premises (@p2061 @p2055)) % 1.02/1.26 (step @p2063 :rule cong :premises (@p2062 @p2048) :args (@t2296)) % 1.02/1.26 (step @p2064 :rule cong :premises (@p2014 @p2063) :args (@t2297)) % 1.02/1.26 (step @p2065 :rule cong :premises (@p783 @p2064) :args (@t2298)) % 1.02/1.26 (step @p2066 :rule cong :premises (@p2065) :args (@t2299)) % 1.02/1.26 (step @p2067 :rule trans :premises (@p2066 @p2025)) % 1.02/1.26 (step @p2068 :rule refl :args (tptp.ex1I)) % 1.02/1.26 (step @p2069 :rule cong :premises (@p2068 @p2067) :args ((= tptp.ex1I @t2299))) % 1.02/1.26 (step @p2070 :rule ho_cong :premises (@p1978 @p2046)) % 1.02/1.26 (step @p2071 :rule refl :args (@t727)) % 1.02/1.26 (step @p2072 :rule cong :premises (@p2071 @p2070) :args (@t728)) % 1.02/1.26 (step @p2073 :rule cong :premises (@p2014 @p2072) :args (@t729)) % 1.02/1.26 (step @p2074 :rule cong :premises (@p783 @p2073) :args (@t730)) % 1.02/1.26 (step @p2075 :rule cong :premises (@p2074) :args (@t731)) % 1.02/1.26 (step @p2076 :rule cong :premises (@p2068 @p2075) :args (@t732)) % 1.02/1.26 (step @p2077 :rule trans :premises (@p2076 @p2069)) % 1.02/1.26 (step @p2078 :rule eq_resolve :premises (@p156 @p2077)) % 1.02/1.26 (step @p2079 :rule cong :premises (@p2078 @p1988) :args (@t2300)) % 1.02/1.26 (step @p2080 :rule eq-symm :args (@t1242 @t1211)) % 1.02/1.26 (step @p2081 :rule cong :premises (@p2080) :args (@t2301)) % 1.02/1.26 (step @p2082 :rule refl :args (@t1243)) % 1.02/1.26 (step @p2083 :rule refl :args (@t1245)) % 1.02/1.26 (step @p2084 :rule nary_cong :premises (@p2083 @p2082 @p2081) :args (@t2302)) % 1.02/1.26 (step @p2085 :rule aci_norm :args ((= @t2304 @t2302))) % 1.02/1.26 (step @p2086 :rule trans :premises (@p2085 @p2084)) % 1.02/1.26 (step @p2087 :rule cong :premises (@p2086) :args (@t2305)) % 1.02/1.26 (step @p2088 :rule quant-merge-prenex :args ((= (forall @t309 @t2307) @t2305))) % 1.02/1.26 (step @p2089 :rule refl :args (@t1245)) % 1.02/1.26 (step @p2090 :rule alpha_equiv :args (@t2308 (@list @t1241) @t1906)) % 1.02/1.26 (step @p2091 :rule nary_cong :premises (@p2090 @p2089) :args (@t2309)) % 1.02/1.26 (step @p2092 :rule quant-miniscope-or :args ((= @t2307 @t2309))) % 1.02/1.26 (step @p2093 :rule trans :premises (@p2092 @p2091)) % 1.02/1.26 (step @p2094 :rule symm :premises (@p2093)) % 1.02/1.26 (step @p2095 :rule cong :premises (@p2094) :args ((forall @t309 (or @t1214 @t1245)))) % 1.02/1.26 (step @p2096 :rule trans :premises (@p2095 @p2088)) % 1.02/1.26 (step @p2097 :rule trans :premises (@p2096 @p2087)) % 1.02/1.26 (step @p2098 :rule bool-double-not-elim :args (@t1214)) % 1.02/1.26 (step @p2099 :rule nary_cong :premises (@p2098 @p2089) :args ((or (not @t1215) @t1245))) % 1.02/1.26 (step @p2100 :rule bool-impl-elim :args (@t1215 @t1245)) % 1.02/1.26 (step @p2101 :rule trans :premises (@p2100 @p2099)) % 1.02/1.26 (step @p2102 :rule cong :premises (@p2101) :args ((forall @t309 (=> @t1215 @t1245)))) % 1.02/1.26 (step @p2103 :rule trans :premises (@p2102 @p2097)) % 1.02/1.26 (step @p2104 :rule cong :premises (@p1841 @p1855) :args (@t2310)) % 1.02/1.26 (step @p2105 :rule cong :premises (@p2104) :args (@t2311)) % 1.02/1.26 (step @p2106 :rule trans :premises (@p2105 @p2103)) % 1.02/1.26 (step @p2107 :rule refl :args (tptp.ex1E1)) % 1.02/1.26 (step @p2108 :rule cong :premises (@p2107 @p2106) :args ((= tptp.ex1E1 @t2311))) % 1.02/1.26 (step @p2109 :rule cong :premises (@p1979 @p1980) :args (@t722)) % 1.02/1.26 (step @p2110 :rule cong :premises (@p2109) :args (@t723)) % 1.02/1.26 (step @p2111 :rule cong :premises (@p2107 @p2110) :args (@t724)) % 1.02/1.26 (step @p2112 :rule trans :premises (@p2111 @p2108)) % 1.02/1.26 (step @p2113 :rule eq_resolve :premises (@p155 @p2112)) % 1.02/1.26 (step @p2114 :rule cong :premises (@p2113 @p2079) :args (@t2312)) % 1.02/1.26 (step @p2115 :rule cong :premises (@p1855 @p1972) :args (@t2313)) % 1.02/1.26 (step @p2116 :rule cong :premises (@p1916 @p2115) :args (@t2314)) % 1.02/1.26 (step @p2117 :rule cong :premises (@p2116) :args (@t2315)) % 1.02/1.26 (step @p2118 :rule trans :premises (@p2117 @p1801)) % 1.02/1.26 (step @p2119 :rule refl :args (tptp.singletonprop)) % 1.02/1.26 (step @p2120 :rule cong :premises (@p2119 @p2118) :args ((= tptp.singletonprop @t2315))) % 1.02/1.26 (step @p2121 :rule cong :premises (@p1980 @p1974) :args (@t713)) % 1.02/1.26 (step @p2122 :rule cong :premises (@p1982 @p2121) :args (@t717)) % 1.02/1.26 (step @p2123 :rule cong :premises (@p2122) :args (@t718)) % 1.02/1.26 (step @p2124 :rule cong :premises (@p2119 @p2123) :args (@t719)) % 1.02/1.26 (step @p2125 :rule trans :premises (@p2124 @p2120)) % 1.02/1.26 (step @p2126 :rule eq_resolve :premises (@p154 @p2125)) % 1.02/1.26 (step @p2127 :rule cong :premises (@p2126 @p2114) :args (@t2316)) % 1.02/1.26 (step @p2128 :rule refl :args ((tptp.setunion @t279))) % 1.02/1.26 (step @p2129 :rule cong :premises (@p1282) :args (@t1248)) % 1.02/1.26 (step @p2130 :rule trans :premises (@p2129 @p2128)) % 1.02/1.26 (step @p2131 :rule refl :args (tptp.setunion)) % 1.02/1.26 (step @p2132 :rule ho_cong :premises (@p2131 @p1282)) % 1.02/1.26 (step @p2133 :rule cong :premises (@p2132 @p2130) :args ((= (_ tptp.setunion @t1156) @t1248))) % 1.02/1.26 (step @p2134 :rule symm :premises (@p2133)) % 1.02/1.26 (step @p2135 :rule refl :args (@t709)) % 1.02/1.26 (step @p2136 :rule eq_resolve :premises (@p2135 @p2134)) % 1.02/1.26 (step @p2137 :rule ho_cong :premises (@p2131 @p1286)) % 1.02/1.26 (step @p2138 :rule trans :premises (@p2137 @p2136)) % 1.02/1.26 (step @p2139 :rule cong :premises (@p1096 @p2138) :args (@t2317)) % 1.02/1.26 (step @p2140 :rule cong :premises (@p2139) :args ((forall @t9 @t2317))) % 1.02/1.26 (step @p2141 :rule eq-symm :args (@t709 @t4)) % 1.02/1.26 (step @p2142 :rule cong :premises (@p2141) :args (@t710)) % 1.02/1.26 (step @p2143 :rule trans :premises (@p2142 @p2140)) % 1.02/1.26 (step @p2144 :rule refl :args (tptp.setunionsingleton)) % 1.02/1.26 (step @p2145 :rule cong :premises (@p2144 @p2143) :args (@t711)) % 1.02/1.26 (step @p2146 :rule eq_resolve :premises (@p153 @p2145)) % 1.02/1.26 (step @p2147 :rule cong :premises (@p2146 @p2127) :args (@t2318)) % 1.02/1.26 (step @p2148 :rule refl :args ((tptp.subset @t2 @t702))) % 1.02/1.26 (step @p2149 :rule refl :args ((tptp.setunion @t701))) % 1.02/1.26 (step @p2150 :rule refl :args (@t1250)) % 1.02/1.26 (step @p2151 :rule cong :premises (@p2150) :args (@t1251)) % 1.02/1.26 (step @p2152 :rule trans :premises (@p2151 @p2149)) % 1.02/1.26 (step @p2153 :rule cong :premises (@p1287 @p2152) :args (@t1252)) % 1.02/1.26 (step @p2154 :rule trans :premises (@p2153 @p2148)) % 1.02/1.26 (step @p2155 :rule refl :args (@t419)) % 1.02/1.26 (step @p2156 :rule ho_cong :premises (@p2155 @p2152)) % 1.02/1.26 (step @p2157 :rule cong :premises (@p2156 @p2154) :args ((= (_ @t419 @t1251) @t1252))) % 1.02/1.26 (step @p2158 :rule symm :premises (@p2157)) % 1.02/1.26 (step @p2159 :rule refl :args (@t706)) % 1.02/1.26 (step @p2160 :rule eq_resolve :premises (@p2159 @p2158)) % 1.02/1.26 (step @p2161 :rule ho_cong :premises (@p2131 @p2150)) % 1.02/1.26 (step @p2162 :rule cong :premises (@p2161 @p2152) :args ((= (_ tptp.setunion @t1250) @t1251))) % 1.02/1.26 (step @p2163 :rule symm :premises (@p2162)) % 1.02/1.26 (step @p2164 :rule refl :args (@t702)) % 1.02/1.26 (step @p2165 :rule eq_resolve :premises (@p2164 @p2163)) % 1.02/1.26 (step @p2166 :rule refl :args (@t701)) % 1.02/1.26 (step @p2167 :rule cong :premises (@p2166 @p2150) :args ((= @t701 @t1250))) % 1.02/1.26 (step @p2168 :rule symm :premises (@p2167)) % 1.02/1.26 (step @p2169 :rule eq_resolve :premises (@p2166 @p2168)) % 1.02/1.26 (step @p2170 :rule ho_cong :premises (@p2131 @p2169)) % 1.02/1.26 (step @p2171 :rule trans :premises (@p2170 @p2165)) % 1.02/1.26 (step @p2172 :rule ho_cong :premises (@p2155 @p2171)) % 1.02/1.26 (step @p2173 :rule trans :premises (@p2172 @p2160)) % 1.02/1.26 (step @p2174 :rule cong :premises (@p2173) :args (@t707)) % 1.02/1.26 (step @p2175 :rule refl :args (tptp.setunionsingleton2)) % 1.02/1.26 (step @p2176 :rule cong :premises (@p2175 @p2174) :args (@t708)) % 1.02/1.26 (step @p2177 :rule eq_resolve :premises (@p152 @p2176)) % 1.02/1.26 (step @p2178 :rule cong :premises (@p2177 @p2147) :args (@t2319)) % 1.02/1.26 (step @p2179 :rule refl :args ((tptp.subset @t702 @t2))) % 1.02/1.26 (step @p2180 :rule cong :premises (@p2152 @p1287) :args (@t1254)) % 1.02/1.26 (step @p2181 :rule trans :premises (@p2180 @p2179)) % 1.02/1.26 (step @p2182 :rule ho_cong :premises (@p854 @p2152)) % 1.02/1.26 (step @p2183 :rule ho_cong :premises (@p2182 @p1287)) % 1.02/1.26 (step @p2184 :rule cong :premises (@p2183 @p2181) :args ((= (_ (_ tptp.subset @t1251) @t2) @t1254))) % 1.02/1.26 (step @p2185 :rule symm :premises (@p2184)) % 1.02/1.26 (step @p2186 :rule refl :args (@t703)) % 1.02/1.26 (step @p2187 :rule eq_resolve :premises (@p2186 @p2185)) % 1.02/1.26 (step @p2188 :rule ho_cong :premises (@p854 @p2171)) % 1.02/1.26 (step @p2189 :rule ho_cong :premises (@p2188 @p1287)) % 1.02/1.26 (step @p2190 :rule trans :premises (@p2189 @p2187)) % 1.02/1.26 (step @p2191 :rule cong :premises (@p2190) :args (@t704)) % 1.02/1.26 (step @p2192 :rule refl :args (tptp.setunionsingleton1)) % 1.02/1.26 (step @p2193 :rule cong :premises (@p2192 @p2191) :args (@t705)) % 1.02/1.26 (step @p2194 :rule eq_resolve :premises (@p151 @p2193)) % 1.02/1.26 (step @p2195 :rule cong :premises (@p2194 @p2178) :args (@t2320)) % 1.02/1.26 (step @p2196 :rule refl :args (@t1259)) % 1.02/1.26 (step @p2197 :rule refl :args ((tptp.in @t4 @t43))) % 1.02/1.26 (step @p2198 :rule refl :args (@t1260)) % 1.02/1.26 (step @p2199 :rule cong :premises (@p1096 @p2198) :args (@t1261)) % 1.02/1.26 (step @p2200 :rule trans :premises (@p2199 @p2197)) % 1.02/1.26 (step @p2201 :rule refl :args (@t5)) % 1.02/1.26 (step @p2202 :rule ho_cong :premises (@p2201 @p2198)) % 1.02/1.26 (step @p2203 :rule cong :premises (@p2202 @p2200) :args ((= (_ @t5 @t1260) @t1261))) % 1.02/1.26 (step @p2204 :rule symm :premises (@p2203)) % 1.02/1.26 (step @p2205 :rule refl :args (@t44)) % 1.02/1.26 (step @p2206 :rule eq_resolve :premises (@p2205 @p2204)) % 1.02/1.26 (step @p2207 :rule refl :args (@t43)) % 1.02/1.26 (step @p2208 :rule cong :premises (@p2207 @p2198) :args ((= @t43 @t1260))) % 1.02/1.26 (step @p2209 :rule symm :premises (@p2208)) % 1.02/1.26 (step @p2210 :rule eq_resolve :premises (@p2207 @p2209)) % 1.02/1.26 (step @p2211 :rule ho_cong :premises (@p2201 @p2210)) % 1.02/1.26 (step @p2212 :rule trans :premises (@p2211 @p2206)) % 1.02/1.26 (step @p2213 :rule cong :premises (@p2212) :args (@t2321)) % 1.02/1.26 (step @p2214 :rule nary_cong :premises (@p2213 @p2196) :args (@t2322)) % 1.02/1.26 (step @p2215 :rule cong :premises (@p2214) :args ((forall @t46 @t2322))) % 1.02/1.26 (step @p2216 :rule bool-impl-elim :args (@t44 @t1259)) % 1.02/1.26 (step @p2217 :rule cong :premises (@p2216) :args ((forall @t46 (=> @t44 @t1259)))) % 1.02/1.26 (step @p2218 :rule trans :premises (@p2217 @p2215)) % 1.02/1.26 (step @p2219 :rule refl :args (@t1256)) % 1.02/1.26 (step @p2220 :rule refl :args (@t693)) % 1.02/1.26 (step @p2221 :rule cong :premises (@p2220 @p2219) :args ((= @t693 @t1256))) % 1.02/1.26 (step @p2222 :rule symm :premises (@p2221)) % 1.02/1.26 (step @p2223 :rule eq_resolve :premises (@p2220 @p2222)) % 1.02/1.26 (step @p2224 :rule cong :premises (@p2223) :args (@t2323)) % 1.02/1.26 (step @p2225 :rule refl :args (@t1258)) % 1.02/1.26 (step @p2226 :rule refl :args (@t694)) % 1.02/1.26 (step @p2227 :rule cong :premises (@p2226 @p2225) :args ((= @t694 @t1258))) % 1.02/1.26 (step @p2228 :rule symm :premises (@p2227)) % 1.02/1.26 (step @p2229 :rule eq_resolve :premises (@p2226 @p2228)) % 1.02/1.26 (step @p2230 :rule cong :premises (@p2229) :args (@t2324)) % 1.02/1.26 (step @p2231 :rule nary_cong :premises (@p2230 @p2224) :args (@t2325)) % 1.02/1.26 (step @p2232 :rule cong :premises (@p2231) :args ((forall @t696 @t2325))) % 1.02/1.26 (step @p2233 :rule bool-and-de-morgan :args (@t694 @t693 true)) % 1.02/1.26 (step @p2234 :rule cong :premises (@p2233) :args (@t2326)) % 1.02/1.26 (step @p2235 :rule trans :premises (@p2234 @p2232)) % 1.02/1.26 (step @p2236 :rule cong :premises (@p2235) :args (@t2327)) % 1.02/1.26 (step @p2237 :rule exists-elim :args ((= @t697 @t2327))) % 1.02/1.26 (step @p2238 :rule trans :premises (@p2237 @p2236)) % 1.02/1.26 (step @p2239 :rule refl :args (@t44)) % 1.02/1.26 (step @p2240 :rule cong :premises (@p2239 @p2238) :args (@t698)) % 1.02/1.26 (step @p2241 :rule cong :premises (@p2240) :args (@t699)) % 1.02/1.26 (step @p2242 :rule trans :premises (@p2241 @p2218)) % 1.02/1.26 (step @p2243 :rule refl :args (tptp.setunionE2)) % 1.02/1.26 (step @p2244 :rule cong :premises (@p2243 @p2242) :args (@t700)) % 1.02/1.26 (step @p2245 :rule eq_resolve :premises (@p150 @p2244)) % 1.02/1.26 (step @p2246 :rule cong :premises (@p2245 @p2195) :args (@t2328)) % 1.02/1.26 (step @p2247 :rule nary_cong :premises (@p1005 @p1190) :args (@t2329)) % 1.02/1.26 (step @p2248 :rule cong :premises (@p2247) :args ((forall @t686 @t2329))) % 1.02/1.26 (step @p2249 :rule bool-impl-elim :args (@t684 @t689)) % 1.02/1.26 (step @p2250 :rule cong :premises (@p2249) :args (@t690)) % 1.02/1.26 (step @p2251 :rule trans :premises (@p2250 @p2248)) % 1.02/1.26 (step @p2252 :rule refl :args (tptp.cartprodmempair)) % 1.02/1.26 (step @p2253 :rule cong :premises (@p2252 @p2251) :args (@t691)) % 1.02/1.26 (step @p2254 :rule eq_resolve :premises (@p149 @p2253)) % 1.02/1.26 (step @p2255 :rule cong :premises (@p2254 @p2246) :args (@t2330)) % 1.02/1.26 (step @p2256 :rule refl :args (@t1270)) % 1.02/1.26 (step @p2257 :rule nary_cong :premises (@p1005 @p2256) :args (@t2331)) % 1.02/1.26 (step @p2258 :rule cong :premises (@p2257) :args ((forall @t686 @t2331))) % 1.02/1.26 (step @p2259 :rule bool-impl-elim :args (@t684 @t1270)) % 1.02/1.26 (step @p2260 :rule cong :premises (@p2259) :args ((forall @t686 (=> @t684 @t1270)))) % 1.02/1.26 (step @p2261 :rule trans :premises (@p2260 @p2258)) % 1.02/1.26 (step @p2262 :rule aci_norm :args ((= @t2333 @t1268))) % 1.02/1.26 (step @p2263 :rule cong :premises (@p2262) :args (@t2334)) % 1.02/1.26 (step @p2264 :rule quant-merge-prenex :args ((= (forall @t9 @t2336) @t2334))) % 1.02/1.26 (step @p2265 :rule alpha_equiv :args (@t2337 (@list @t1265) @t1901)) % 1.02/1.26 (step @p2266 :rule nary_cong :premises (@p635 @p2265) :args (@t2338)) % 1.02/1.26 (step @p2267 :rule quant-miniscope-or :args ((= @t2336 @t2338))) % 1.02/1.26 (step @p2268 :rule trans :premises (@p2267 @p2266)) % 1.02/1.26 (step @p2269 :rule symm :premises (@p2268)) % 1.02/1.26 (step @p2270 :rule cong :premises (@p2269) :args ((forall @t9 (or @t1095 @t2339)))) % 1.02/1.26 (step @p2271 :rule trans :premises (@p2270 @p2264)) % 1.02/1.26 (step @p2272 :rule trans :premises (@p2271 @p2263)) % 1.02/1.26 (step @p2273 :rule refl :args (@t2339)) % 1.02/1.26 (step @p2274 :rule nary_cong :premises (@p649 @p2273) :args (@t2340)) % 1.02/1.26 (step @p2275 :rule cong :premises (@p2274) :args ((forall @t9 @t2340))) % 1.02/1.26 (step @p2276 :rule trans :premises (@p2275 @p2272)) % 1.02/1.26 (step @p2277 :rule bool-double-not-elim :args (@t2339)) % 1.02/1.26 (step @p2278 :rule nary_cong :premises (@p806 @p2277) :args ((or @t197 (not @t2341)))) % 1.02/1.26 (step @p2279 :rule bool-and-de-morgan :args (@t7 @t2341 true)) % 1.02/1.26 (step @p2280 :rule trans :premises (@p2279 @p2278)) % 1.02/1.26 (step @p2281 :rule cong :premises (@p2280) :args (@t2343)) % 1.02/1.26 (step @p2282 :rule trans :premises (@p2281 @p2276)) % 1.02/1.26 (step @p2283 :rule cong :premises (@p2282) :args (@t2344)) % 1.02/1.26 (step @p2284 :rule exists-elim :args ((= (exists @t9 @t2342) @t2344))) % 1.02/1.26 (step @p2285 :rule trans :premises (@p2284 @p2283)) % 1.02/1.26 (step @p2286 :rule nary_cong :premises (@p732 @p816) :args (@t2345)) % 1.02/1.26 (step @p2287 :rule cong :premises (@p2286) :args ((forall @t70 @t2345))) % 1.02/1.26 (step @p2288 :rule bool-and-de-morgan :args (@t352 @t678 true)) % 1.02/1.26 (step @p2289 :rule cong :premises (@p2288) :args (@t2346)) % 1.02/1.26 (step @p2290 :rule trans :premises (@p2289 @p2287)) % 1.02/1.26 (step @p2291 :rule cong :premises (@p2290) :args (@t2347)) % 1.02/1.26 (step @p2292 :rule exists-elim :args ((= @t680 @t2347))) % 1.02/1.26 (step @p2293 :rule trans :premises (@p2292 @p2291)) % 1.02/1.26 (step @p2294 :rule nary_cong :premises (@p783 @p2293) :args (@t681)) % 1.02/1.26 (step @p2295 :rule cong :premises (@p2294) :args (@t682)) % 1.02/1.26 (step @p2296 :rule trans :premises (@p2295 @p2285)) % 1.02/1.26 (step @p2297 :rule cong :premises (@p1012 @p2296) :args (@t685)) % 1.02/1.26 (step @p2298 :rule cong :premises (@p2297) :args (@t687)) % 1.02/1.26 (step @p2299 :rule trans :premises (@p2298 @p2261)) % 1.02/1.26 (step @p2300 :rule refl :args (tptp.cartprodmempair1)) % 1.02/1.26 (step @p2301 :rule cong :premises (@p2300 @p2299) :args (@t688)) % 1.02/1.26 (step @p2302 :rule eq_resolve :premises (@p148 @p2301)) % 1.02/1.26 (step @p2303 :rule cong :premises (@p2302 @p2255) :args (@t2348)) % 1.02/1.26 (step @p2304 :rule aci_norm :args ((= @t2350 @t1275))) % 1.02/1.26 (step @p2305 :rule cong :premises (@p2304) :args (@t2351)) % 1.02/1.26 (step @p2306 :rule quant-merge-prenex :args ((= (forall @t245 @t2353) @t2351))) % 1.02/1.26 (step @p2307 :rule alpha_equiv :args (@t2354 (@list @t1272) @t1901)) % 1.02/1.26 (step @p2308 :rule nary_cong :premises (@p635 @p2307) :args (@t2355)) % 1.02/1.26 (step @p2309 :rule quant-miniscope-or :args ((= @t2353 @t2355))) % 1.02/1.26 (step @p2310 :rule trans :premises (@p2309 @p2308)) % 1.02/1.26 (step @p2311 :rule symm :premises (@p2310)) % 1.02/1.26 (step @p2312 :rule cong :premises (@p2311) :args ((forall @t245 (or @t1095 @t2356)))) % 1.02/1.26 (step @p2313 :rule trans :premises (@p2312 @p2306)) % 1.02/1.26 (step @p2314 :rule trans :premises (@p2313 @p2305)) % 1.02/1.26 (step @p2315 :rule refl :args (@t2356)) % 1.02/1.26 (step @p2316 :rule nary_cong :premises (@p649 @p2315) :args (@t2357)) % 1.02/1.26 (step @p2317 :rule cong :premises (@p2316) :args ((forall @t245 @t2357))) % 1.02/1.26 (step @p2318 :rule trans :premises (@p2317 @p2314)) % 1.02/1.26 (step @p2319 :rule bool-impl-elim :args (@t7 @t2356)) % 1.02/1.26 (step @p2320 :rule cong :premises (@p2319) :args ((forall @t245 (=> @t7 @t2356)))) % 1.02/1.26 (step @p2321 :rule trans :premises (@p2320 @p2318)) % 1.02/1.26 (step @p2322 :rule nary_cong :premises (@p732 @p1144) :args (@t2358)) % 1.02/1.26 (step @p2323 :rule cong :premises (@p2322) :args ((forall @t70 @t2358))) % 1.02/1.26 (step @p2324 :rule bool-impl-elim :args (@t352 @t673)) % 1.02/1.26 (step @p2325 :rule cong :premises (@p2324) :args (@t674)) % 1.02/1.26 (step @p2326 :rule trans :premises (@p2325 @p2323)) % 1.02/1.26 (step @p2327 :rule cong :premises (@p783 @p2326) :args (@t675)) % 1.02/1.26 (step @p2328 :rule cong :premises (@p2327) :args (@t676)) % 1.02/1.26 (step @p2329 :rule trans :premises (@p2328 @p2321)) % 1.02/1.26 (step @p2330 :rule refl :args (tptp.cartprodpairin)) % 1.02/1.26 (step @p2331 :rule cong :premises (@p2330 @p2329) :args (@t677)) % 1.02/1.26 (step @p2332 :rule eq_resolve :premises (@p147 @p2331)) % 1.02/1.26 (step @p2333 :rule cong :premises (@p2332 @p2303) :args (@t2359)) % 1.02/1.26 (step @p2334 :rule aci_norm :args ((= @t2361 @t1284))) % 1.02/1.26 (step @p2335 :rule cong :premises (@p2334) :args (@t2362)) % 1.02/1.26 (step @p2336 :rule quant-merge-prenex :args ((= (forall @t245 @t2364) @t2362))) % 1.02/1.26 (step @p2337 :rule alpha_equiv :args (@t2365 (@list @t1281) @t1901)) % 1.02/1.26 (step @p2338 :rule nary_cong :premises (@p635 @p2337) :args (@t2366)) % 1.02/1.26 (step @p2339 :rule quant-miniscope-or :args ((= @t2364 @t2366))) % 1.02/1.26 (step @p2340 :rule trans :premises (@p2339 @p2338)) % 1.02/1.26 (step @p2341 :rule symm :premises (@p2340)) % 1.02/1.26 (step @p2342 :rule cong :premises (@p2341) :args ((forall @t245 (or @t1095 @t2368)))) % 1.02/1.26 (step @p2343 :rule trans :premises (@p2342 @p2336)) % 1.02/1.26 (step @p2344 :rule trans :premises (@p2343 @p2335)) % 1.02/1.26 (step @p2345 :rule refl :args (@t2368)) % 1.02/1.26 (step @p2346 :rule nary_cong :premises (@p649 @p2345) :args (@t2369)) % 1.02/1.26 (step @p2347 :rule cong :premises (@p2346) :args ((forall @t245 @t2369))) % 1.02/1.26 (step @p2348 :rule trans :premises (@p2347 @p2344)) % 1.02/1.26 (step @p2349 :rule bool-impl-elim :args (@t7 @t2368)) % 1.02/1.26 (step @p2350 :rule cong :premises (@p2349) :args ((forall @t245 (=> @t7 @t2368)))) % 1.02/1.26 (step @p2351 :rule trans :premises (@p2350 @p2348)) % 1.02/1.26 (step @p2352 :rule refl :args ((tptp.in @t630 @t660))) % 1.02/1.26 (step @p2353 :rule refl :args ((tptp.powerset @t641))) % 1.02/1.26 (step @p2354 :rule refl :args ((tptp.powerset @t492))) % 1.02/1.26 (step @p2355 :rule refl :args (@t1278)) % 1.02/1.26 (step @p2356 :rule cong :premises (@p2355) :args (@t1279)) % 1.02/1.26 (step @p2357 :rule trans :premises (@p2356 @p2354)) % 1.02/1.26 (step @p2358 :rule cong :premises (@p2357) :args (@t1280)) % 1.02/1.26 (step @p2359 :rule trans :premises (@p2358 @p2353)) % 1.02/1.26 (step @p2360 :rule cong :premises (@p694 @p2359) :args (@t2367)) % 1.02/1.26 (step @p2361 :rule trans :premises (@p2360 @p2352)) % 1.02/1.26 (step @p2362 :rule ho_cong :premises (@p698 @p2359)) % 1.02/1.26 (step @p2363 :rule cong :premises (@p2362 @p2361) :args ((= (_ @t1917 @t1280) @t2367))) % 1.02/1.26 (step @p2364 :rule symm :premises (@p2363)) % 1.02/1.26 (step @p2365 :rule refl :args (@t667)) % 1.02/1.26 (step @p2366 :rule eq_resolve :premises (@p2365 @p2364)) % 1.02/1.26 (step @p2367 :rule refl :args (tptp.powerset)) % 1.02/1.26 (step @p2368 :rule ho_cong :premises (@p2367 @p2357)) % 1.02/1.26 (step @p2369 :rule cong :premises (@p2368 @p2359) :args ((= (_ tptp.powerset @t1279) @t1280))) % 1.02/1.26 (step @p2370 :rule symm :premises (@p2369)) % 1.02/1.26 (step @p2371 :rule refl :args (@t660)) % 1.02/1.26 (step @p2372 :rule eq_resolve :premises (@p2371 @p2370)) % 1.02/1.26 (step @p2373 :rule ho_cong :premises (@p2367 @p2355)) % 1.02/1.26 (step @p2374 :rule cong :premises (@p2373 @p2357) :args ((= (_ tptp.powerset @t1278) @t1279))) % 1.02/1.26 (step @p2375 :rule symm :premises (@p2374)) % 1.02/1.26 (step @p2376 :rule refl :args (@t641)) % 1.02/1.26 (step @p2377 :rule eq_resolve :premises (@p2376 @p2375)) % 1.02/1.26 (step @p2378 :rule refl :args (@t492)) % 1.02/1.26 (step @p2379 :rule cong :premises (@p2378 @p2355) :args ((= @t492 @t1278))) % 1.02/1.26 (step @p2380 :rule symm :premises (@p2379)) % 1.02/1.26 (step @p2381 :rule eq_resolve :premises (@p2378 @p2380)) % 1.02/1.26 (step @p2382 :rule ho_cong :premises (@p2367 @p2381)) % 1.02/1.26 (step @p2383 :rule trans :premises (@p2382 @p2377)) % 1.02/1.26 (step @p2384 :rule ho_cong :premises (@p2367 @p2383)) % 1.02/1.26 (step @p2385 :rule trans :premises (@p2384 @p2372)) % 1.02/1.26 (step @p2386 :rule ho_cong :premises (@p723 @p2385)) % 1.02/1.26 (step @p2387 :rule trans :premises (@p2386 @p2366)) % 1.02/1.26 (step @p2388 :rule nary_cong :premises (@p732 @p2387) :args (@t2370)) % 1.02/1.26 (step @p2389 :rule cong :premises (@p2388) :args ((forall @t70 @t2370))) % 1.02/1.26 (step @p2390 :rule bool-impl-elim :args (@t352 @t667)) % 1.02/1.26 (step @p2391 :rule cong :premises (@p2390) :args (@t668)) % 1.02/1.26 (step @p2392 :rule trans :premises (@p2391 @p2389)) % 1.02/1.26 (step @p2393 :rule cong :premises (@p783 @p2392) :args (@t669)) % 1.02/1.26 (step @p2394 :rule cong :premises (@p2393) :args (@t670)) % 1.02/1.26 (step @p2395 :rule trans :premises (@p2394 @p2351)) % 1.02/1.26 (step @p2396 :rule refl :args (tptp.ubforcartprodlem3)) % 1.02/1.26 (step @p2397 :rule cong :premises (@p2396 @p2395) :args (@t671)) % 1.02/1.26 (step @p2398 :rule eq_resolve :premises (@p146 @p2397)) % 1.02/1.26 (step @p2399 :rule cong :premises (@p2398 @p2333) :args (@t2371)) % 1.02/1.26 (step @p2400 :rule aci_norm :args ((= @t2373 @t1290))) % 1.02/1.26 (step @p2401 :rule cong :premises (@p2400) :args (@t2374)) % 1.02/1.26 (step @p2402 :rule quant-merge-prenex :args ((= (forall @t245 @t2376) @t2374))) % 1.02/1.26 (step @p2403 :rule alpha_equiv :args (@t2377 (@list @t1287) @t1901)) % 1.02/1.26 (step @p2404 :rule nary_cong :premises (@p635 @p2403) :args (@t2378)) % 1.02/1.26 (step @p2405 :rule quant-miniscope-or :args ((= @t2376 @t2378))) % 1.02/1.26 (step @p2406 :rule trans :premises (@p2405 @p2404)) % 1.02/1.26 (step @p2407 :rule symm :premises (@p2406)) % 1.02/1.26 (step @p2408 :rule cong :premises (@p2407) :args ((forall @t245 (or @t1095 @t2380)))) % 1.02/1.26 (step @p2409 :rule trans :premises (@p2408 @p2402)) % 1.02/1.26 (step @p2410 :rule trans :premises (@p2409 @p2401)) % 1.02/1.26 (step @p2411 :rule refl :args (@t2380)) % 1.02/1.26 (step @p2412 :rule nary_cong :premises (@p649 @p2411) :args (@t2381)) % 1.02/1.26 (step @p2413 :rule cong :premises (@p2412) :args ((forall @t245 @t2381))) % 1.02/1.26 (step @p2414 :rule trans :premises (@p2413 @p2410)) % 1.02/1.26 (step @p2415 :rule bool-impl-elim :args (@t7 @t2380)) % 1.02/1.26 (step @p2416 :rule cong :premises (@p2415) :args ((forall @t245 (=> @t7 @t2380)))) % 1.02/1.26 (step @p2417 :rule trans :premises (@p2416 @p2414)) % 1.02/1.26 (step @p2418 :rule refl :args ((tptp.in @t618 @t660))) % 1.02/1.26 (step @p2419 :rule cong :premises (@p1380 @p2359) :args (@t2379)) % 1.02/1.26 (step @p2420 :rule trans :premises (@p2419 @p2418)) % 1.02/1.26 (step @p2421 :rule ho_cong :premises (@p697 @p1380)) % 1.02/1.26 (step @p2422 :rule ho_cong :premises (@p2421 @p2359)) % 1.02/1.26 (step @p2423 :rule cong :premises (@p2422 @p2420) :args ((= (_ (_ tptp.in @t1170) @t1280) @t2379))) % 1.02/1.26 (step @p2424 :rule symm :premises (@p2423)) % 1.02/1.26 (step @p2425 :rule refl :args (@t661)) % 1.02/1.26 (step @p2426 :rule eq_resolve :premises (@p2425 @p2424)) % 1.02/1.26 (step @p2427 :rule ho_cong :premises (@p697 @p1410)) % 1.02/1.26 (step @p2428 :rule ho_cong :premises (@p2427 @p2385)) % 1.02/1.26 (step @p2429 :rule trans :premises (@p2428 @p2426)) % 1.02/1.26 (step @p2430 :rule nary_cong :premises (@p732 @p2429) :args (@t2382)) % 1.02/1.26 (step @p2431 :rule cong :premises (@p2430) :args ((forall @t70 @t2382))) % 1.02/1.26 (step @p2432 :rule bool-impl-elim :args (@t352 @t661)) % 1.02/1.26 (step @p2433 :rule cong :premises (@p2432) :args (@t662)) % 1.02/1.26 (step @p2434 :rule trans :premises (@p2433 @p2431)) % 1.02/1.26 (step @p2435 :rule cong :premises (@p783 @p2434) :args (@t663)) % 1.02/1.26 (step @p2436 :rule cong :premises (@p2435) :args (@t664)) % 1.02/1.26 (step @p2437 :rule trans :premises (@p2436 @p2417)) % 1.02/1.26 (step @p2438 :rule refl :args (tptp.ubforcartprodlem2)) % 1.02/1.26 (step @p2439 :rule cong :premises (@p2438 @p2437) :args (@t665)) % 1.02/1.26 (step @p2440 :rule eq_resolve :premises (@p145 @p2439)) % 1.02/1.26 (step @p2441 :rule cong :premises (@p2440 @p2399) :args (@t2383)) % 1.02/1.26 (step @p2442 :rule aci_norm :args ((= @t2385 @t1296))) % 1.02/1.26 (step @p2443 :rule cong :premises (@p2442) :args (@t2386)) % 1.02/1.26 (step @p2444 :rule quant-merge-prenex :args ((= (forall @t245 @t2388) @t2386))) % 1.02/1.26 (step @p2445 :rule alpha_equiv :args (@t2389 (@list @t1293) @t1901)) % 1.02/1.26 (step @p2446 :rule nary_cong :premises (@p635 @p2445) :args (@t2390)) % 1.02/1.26 (step @p2447 :rule quant-miniscope-or :args ((= @t2388 @t2390))) % 1.02/1.26 (step @p2448 :rule trans :premises (@p2447 @p2446)) % 1.02/1.26 (step @p2449 :rule symm :premises (@p2448)) % 1.02/1.26 (step @p2450 :rule cong :premises (@p2449) :args ((forall @t245 (or @t1095 @t2392)))) % 1.02/1.26 (step @p2451 :rule trans :premises (@p2450 @p2444)) % 1.02/1.26 (step @p2452 :rule trans :premises (@p2451 @p2443)) % 1.02/1.26 (step @p2453 :rule refl :args (@t2392)) % 1.02/1.26 (step @p2454 :rule nary_cong :premises (@p649 @p2453) :args (@t2393)) % 1.02/1.26 (step @p2455 :rule cong :premises (@p2454) :args ((forall @t245 @t2393))) % 1.02/1.26 (step @p2456 :rule trans :premises (@p2455 @p2452)) % 1.02/1.26 (step @p2457 :rule bool-impl-elim :args (@t7 @t2392)) % 1.02/1.26 (step @p2458 :rule cong :premises (@p2457) :args ((forall @t245 (=> @t7 @t2392)))) % 1.02/1.26 (step @p2459 :rule trans :premises (@p2458 @p2456)) % 1.02/1.26 (step @p2460 :rule refl :args ((tptp.subset @t618 @t641))) % 1.02/1.26 (step @p2461 :rule cong :premises (@p1380 @p2357) :args (@t2391)) % 1.02/1.26 (step @p2462 :rule trans :premises (@p2461 @p2460)) % 1.02/1.26 (step @p2463 :rule ho_cong :premises (@p854 @p1380)) % 1.02/1.26 (step @p2464 :rule ho_cong :premises (@p2463 @p2357)) % 1.02/1.26 (step @p2465 :rule cong :premises (@p2464 @p2462) :args ((= (_ (_ tptp.subset @t1170) @t1279) @t2391))) % 1.02/1.26 (step @p2466 :rule symm :premises (@p2465)) % 1.02/1.26 (step @p2467 :rule refl :args (@t655)) % 1.02/1.26 (step @p2468 :rule eq_resolve :premises (@p2467 @p2466)) % 1.02/1.26 (step @p2469 :rule ho_cong :premises (@p854 @p1410)) % 1.02/1.26 (step @p2470 :rule ho_cong :premises (@p2469 @p2383)) % 1.02/1.26 (step @p2471 :rule trans :premises (@p2470 @p2468)) % 1.02/1.26 (step @p2472 :rule nary_cong :premises (@p732 @p2471) :args (@t2394)) % 1.02/1.26 (step @p2473 :rule cong :premises (@p2472) :args ((forall @t70 @t2394))) % 1.02/1.26 (step @p2474 :rule bool-impl-elim :args (@t352 @t655)) % 1.02/1.26 (step @p2475 :rule cong :premises (@p2474) :args (@t656)) % 1.02/1.26 (step @p2476 :rule trans :premises (@p2475 @p2473)) % 1.02/1.26 (step @p2477 :rule cong :premises (@p783 @p2476) :args (@t657)) % 1.02/1.26 (step @p2478 :rule cong :premises (@p2477) :args (@t658)) % 1.02/1.26 (step @p2479 :rule trans :premises (@p2478 @p2459)) % 1.02/1.26 (step @p2480 :rule refl :args (tptp.ubforcartprodlem1)) % 1.02/1.26 (step @p2481 :rule cong :premises (@p2480 @p2479) :args (@t659)) % 1.02/1.26 (step @p2482 :rule eq_resolve :premises (@p144 @p2481)) % 1.02/1.26 (step @p2483 :rule cong :premises (@p2482 @p2441) :args (@t2395)) % 1.02/1.26 (step @p2484 :rule aci_norm :args ((= @t2397 @t1302))) % 1.02/1.26 (step @p2485 :rule cong :premises (@p2484) :args (@t2398)) % 1.02/1.26 (step @p2486 :rule quant-merge-prenex :args ((= (forall @t245 @t2400) @t2398))) % 1.02/1.26 (step @p2487 :rule alpha_equiv :args (@t2401 (@list @t1299) @t1901)) % 1.02/1.26 (step @p2488 :rule nary_cong :premises (@p635 @p2487) :args (@t2402)) % 1.02/1.26 (step @p2489 :rule quant-miniscope-or :args ((= @t2400 @t2402))) % 1.02/1.26 (step @p2490 :rule trans :premises (@p2489 @p2488)) % 1.02/1.26 (step @p2491 :rule symm :premises (@p2490)) % 1.02/1.26 (step @p2492 :rule cong :premises (@p2491) :args ((forall @t245 (or @t1095 @t2404)))) % 1.02/1.26 (step @p2493 :rule trans :premises (@p2492 @p2486)) % 1.02/1.26 (step @p2494 :rule trans :premises (@p2493 @p2485)) % 1.02/1.26 (step @p2495 :rule refl :args (@t2404)) % 1.02/1.26 (step @p2496 :rule nary_cong :premises (@p649 @p2495) :args (@t2405)) % 1.02/1.26 (step @p2497 :rule cong :premises (@p2496) :args ((forall @t245 @t2405))) % 1.02/1.26 (step @p2498 :rule trans :premises (@p2497 @p2494)) % 1.02/1.26 (step @p2499 :rule bool-impl-elim :args (@t7 @t2404)) % 1.02/1.26 (step @p2500 :rule cong :premises (@p2499) :args ((forall @t245 (=> @t7 @t2404)))) % 1.02/1.26 (step @p2501 :rule trans :premises (@p2500 @p2498)) % 1.02/1.26 (step @p2502 :rule refl :args ((tptp.in @t291 @t641))) % 1.02/1.26 (step @p2503 :rule cong :premises (@p1376 @p2357) :args (@t2403)) % 1.02/1.26 (step @p2504 :rule trans :premises (@p2503 @p2502)) % 1.02/1.26 (step @p2505 :rule ho_cong :premises (@p697 @p1376)) % 1.02/1.26 (step @p2506 :rule ho_cong :premises (@p2505 @p2357)) % 1.02/1.26 (step @p2507 :rule cong :premises (@p2506 @p2504) :args ((= (_ (_ tptp.in @t1168) @t1279) @t2403))) % 1.02/1.26 (step @p2508 :rule symm :premises (@p2507)) % 1.02/1.26 (step @p2509 :rule refl :args (@t650)) % 1.02/1.26 (step @p2510 :rule eq_resolve :premises (@p2509 @p2508)) % 1.02/1.26 (step @p2511 :rule ho_cong :premises (@p697 @p1404)) % 1.02/1.26 (step @p2512 :rule ho_cong :premises (@p2511 @p2383)) % 1.02/1.26 (step @p2513 :rule trans :premises (@p2512 @p2510)) % 1.02/1.26 (step @p2514 :rule nary_cong :premises (@p732 @p2513) :args (@t2406)) % 1.02/1.26 (step @p2515 :rule cong :premises (@p2514) :args ((forall @t70 @t2406))) % 1.02/1.26 (step @p2516 :rule bool-impl-elim :args (@t352 @t650)) % 1.02/1.26 (step @p2517 :rule cong :premises (@p2516) :args (@t651)) % 1.02/1.26 (step @p2518 :rule trans :premises (@p2517 @p2515)) % 1.02/1.26 (step @p2519 :rule cong :premises (@p783 @p2518) :args (@t652)) % 1.02/1.26 (step @p2520 :rule cong :premises (@p2519) :args (@t653)) % 1.02/1.26 (step @p2521 :rule trans :premises (@p2520 @p2501)) % 1.02/1.26 (step @p2522 :rule refl :args (tptp.upairinpowunion)) % 1.02/1.26 (step @p2523 :rule cong :premises (@p2522 @p2521) :args (@t654)) % 1.02/1.26 (step @p2524 :rule eq_resolve :premises (@p143 @p2523)) % 1.02/1.26 (step @p2525 :rule cong :premises (@p2524 @p2483) :args (@t2407)) % 1.02/1.26 (step @p2526 :rule aci_norm :args ((= @t2409 @t1308))) % 1.02/1.26 (step @p2527 :rule cong :premises (@p2526) :args (@t2410)) % 1.02/1.26 (step @p2528 :rule quant-merge-prenex :args ((= (forall @t245 @t2412) @t2410))) % 1.02/1.26 (step @p2529 :rule alpha_equiv :args (@t2413 (@list @t1305) @t1901)) % 1.02/1.26 (step @p2530 :rule nary_cong :premises (@p635 @p2529) :args (@t2414)) % 1.02/1.26 (step @p2531 :rule quant-miniscope-or :args ((= @t2412 @t2414))) % 1.02/1.26 (step @p2532 :rule trans :premises (@p2531 @p2530)) % 1.02/1.26 (step @p2533 :rule symm :premises (@p2532)) % 1.02/1.26 (step @p2534 :rule cong :premises (@p2533) :args ((forall @t245 (or @t1095 @t2416)))) % 1.02/1.26 (step @p2535 :rule trans :premises (@p2534 @p2528)) % 1.02/1.26 (step @p2536 :rule trans :premises (@p2535 @p2527)) % 1.02/1.26 (step @p2537 :rule refl :args (@t2416)) % 1.02/1.26 (step @p2538 :rule nary_cong :premises (@p649 @p2537) :args (@t2417)) % 1.02/1.26 (step @p2539 :rule cong :premises (@p2538) :args ((forall @t245 @t2417))) % 1.02/1.26 (step @p2540 :rule trans :premises (@p2539 @p2536)) % 1.02/1.26 (step @p2541 :rule bool-impl-elim :args (@t7 @t2416)) % 1.02/1.26 (step @p2542 :rule cong :premises (@p2541) :args ((forall @t245 (=> @t7 @t2416)))) % 1.02/1.26 (step @p2543 :rule trans :premises (@p2542 @p2540)) % 1.02/1.26 (step @p2544 :rule refl :args ((tptp.subset @t291 @t492))) % 1.02/1.26 (step @p2545 :rule cong :premises (@p1376 @p2355) :args (@t2415)) % 1.02/1.26 (step @p2546 :rule trans :premises (@p2545 @p2544)) % 1.02/1.26 (step @p2547 :rule ho_cong :premises (@p854 @p1376)) % 1.02/1.26 (step @p2548 :rule ho_cong :premises (@p2547 @p2355)) % 1.02/1.26 (step @p2549 :rule cong :premises (@p2548 @p2546) :args ((= (_ (_ tptp.subset @t1168) @t1278) @t2415))) % 1.02/1.26 (step @p2550 :rule symm :premises (@p2549)) % 1.02/1.26 (step @p2551 :rule refl :args (@t645)) % 1.02/1.26 (step @p2552 :rule eq_resolve :premises (@p2551 @p2550)) % 1.02/1.26 (step @p2553 :rule ho_cong :premises (@p854 @p1404)) % 1.02/1.26 (step @p2554 :rule ho_cong :premises (@p2553 @p2381)) % 1.02/1.26 (step @p2555 :rule trans :premises (@p2554 @p2552)) % 1.02/1.26 (step @p2556 :rule nary_cong :premises (@p732 @p2555) :args (@t2418)) % 1.02/1.26 (step @p2557 :rule cong :premises (@p2556) :args ((forall @t70 @t2418))) % 1.02/1.26 (step @p2558 :rule bool-impl-elim :args (@t352 @t645)) % 1.02/1.26 (step @p2559 :rule cong :premises (@p2558) :args (@t646)) % 1.02/1.26 (step @p2560 :rule trans :premises (@p2559 @p2557)) % 1.02/1.26 (step @p2561 :rule cong :premises (@p783 @p2560) :args (@t647)) % 1.02/1.26 (step @p2562 :rule cong :premises (@p2561) :args (@t648)) % 1.02/1.26 (step @p2563 :rule trans :premises (@p2562 @p2543)) % 1.02/1.26 (step @p2564 :rule refl :args (tptp.upairsubunion)) % 1.02/1.26 (step @p2565 :rule cong :premises (@p2564 @p2563) :args (@t649)) % 1.02/1.26 (step @p2566 :rule eq_resolve :premises (@p142 @p2565)) % 1.02/1.26 (step @p2567 :rule cong :premises (@p2566 @p2525) :args (@t2419)) % 1.02/1.26 (step @p2568 :rule eq-symm :args (@t1313 tptp.upairset2E)) % 1.02/1.26 (step @p2569 :rule refl :args (tptp.upairset2E)) % 1.02/1.26 (step @p2570 :rule refl :args (@t1311)) % 1.02/1.26 (step @p2571 :rule refl :args ((tptp.in @t289 @t291))) % 1.02/1.26 (step @p2572 :rule cong :premises (@p1328 @p1376) :args (@t1312)) % 1.02/1.26 (step @p2573 :rule trans :premises (@p2572 @p2571)) % 1.02/1.26 (step @p2574 :rule refl :args (@t292)) % 1.02/1.26 (step @p2575 :rule ho_cong :premises (@p2574 @p1376)) % 1.02/1.26 (step @p2576 :rule cong :premises (@p2575 @p2573) :args ((= (_ @t292 @t1168) @t1312))) % 1.02/1.26 (step @p2577 :rule symm :premises (@p2576)) % 1.02/1.26 (step @p2578 :rule refl :args (@t293)) % 1.02/1.26 (step @p2579 :rule eq_resolve :premises (@p2578 @p2577)) % 1.02/1.26 (step @p2580 :rule ho_cong :premises (@p2574 @p1404)) % 1.02/1.26 (step @p2581 :rule trans :premises (@p2580 @p2579)) % 1.02/1.26 (step @p2582 :rule cong :premises (@p2581) :args (@t2420)) % 1.02/1.26 (step @p2583 :rule nary_cong :premises (@p2582 @p1542 @p2570) :args (@t2421)) % 1.02/1.26 (step @p2584 :rule cong :premises (@p2583) :args ((forall @t295 @t2421))) % 1.02/1.26 (step @p2585 :rule aci_norm :args ((= (or @t2420 @t2422) @t2421))) % 1.02/1.26 (step @p2586 :rule bool-impl-elim :args (@t293 @t2422)) % 1.02/1.26 (step @p2587 :rule trans :premises (@p2586 @p2585)) % 1.02/1.26 (step @p2588 :rule cong :premises (@p2587) :args ((forall @t295 (=> @t293 @t2422)))) % 1.02/1.26 (step @p2589 :rule trans :premises (@p2588 @p2584)) % 1.02/1.26 (step @p2590 :rule eq-symm :args (@t289 @t19)) % 1.02/1.26 (step @p2591 :rule eq-symm :args (@t289 @t4)) % 1.02/1.26 (step @p2592 :rule nary_cong :premises (@p2591 @p2590) :args (@t290)) % 1.02/1.26 (step @p2593 :rule refl :args (@t293)) % 1.02/1.26 (step @p2594 :rule cong :premises (@p2593 @p2592) :args (@t294)) % 1.02/1.26 (step @p2595 :rule cong :premises (@p2594) :args (@t296)) % 1.02/1.26 (step @p2596 :rule trans :premises (@p2595 @p2589)) % 1.02/1.26 (step @p2597 :rule cong :premises (@p2596 @p2569) :args ((= @t296 tptp.upairset2E))) % 1.02/1.26 (step @p2598 :rule trans :premises (@p2597 @p2568)) % 1.02/1.26 (step @p2599 :rule eq-symm :args (tptp.upairset2E @t296)) % 1.02/1.26 (step @p2600 :rule trans :premises (@p2599 @p2598)) % 1.02/1.26 (step @p2601 :rule eq_resolve :premises (@p141 @p2600)) % 1.02/1.26 (step @p2602 :rule cong :premises (@p2601 @p2567) :args (@t2423)) % 1.02/1.26 (step @p2603 :rule refl :args ((tptp.in @t279 @t641))) % 1.02/1.26 (step @p2604 :rule cong :premises (@p1282 @p2357) :args (@t1314)) % 1.02/1.26 (step @p2605 :rule trans :premises (@p2604 @p2603)) % 1.02/1.26 (step @p2606 :rule ho_cong :premises (@p697 @p1282)) % 1.02/1.26 (step @p2607 :rule ho_cong :premises (@p2606 @p2357)) % 1.02/1.26 (step @p2608 :rule cong :premises (@p2607 @p2605) :args ((= (_ @t2424 @t1279) @t1314))) % 1.02/1.26 (step @p2609 :rule symm :premises (@p2608)) % 1.02/1.26 (step @p2610 :rule refl :args (@t642)) % 1.02/1.26 (step @p2611 :rule eq_resolve :premises (@p2610 @p2609)) % 1.02/1.26 (step @p2612 :rule ho_cong :premises (@p697 @p1286)) % 1.02/1.26 (step @p2613 :rule ho_cong :premises (@p2612 @p2383)) % 1.02/1.26 (step @p2614 :rule trans :premises (@p2613 @p2611)) % 1.02/1.26 (step @p2615 :rule nary_cong :premises (@p649 @p2614) :args (@t2425)) % 1.02/1.26 (step @p2616 :rule cong :premises (@p2615) :args ((forall @t245 @t2425))) % 1.02/1.26 (step @p2617 :rule bool-impl-elim :args (@t7 @t642)) % 1.02/1.26 (step @p2618 :rule cong :premises (@p2617) :args (@t643)) % 1.02/1.26 (step @p2619 :rule trans :premises (@p2618 @p2616)) % 1.02/1.26 (step @p2620 :rule refl :args (tptp.singletoninpowunion)) % 1.02/1.26 (step @p2621 :rule cong :premises (@p2620 @p2619) :args (@t644)) % 1.02/1.26 (step @p2622 :rule eq_resolve :premises (@p140 @p2621)) % 1.02/1.26 (step @p2623 :rule cong :premises (@p2622 @p2602) :args (@t2426)) % 1.02/1.26 (step @p2624 :rule refl :args ((tptp.in @t279 @t33))) % 1.02/1.26 (step @p2625 :rule refl :args (@t1316)) % 1.02/1.26 (step @p2626 :rule cong :premises (@p1282 @p2625) :args (@t1317)) % 1.02/1.26 (step @p2627 :rule trans :premises (@p2626 @p2624)) % 1.02/1.26 (step @p2628 :rule ho_cong :premises (@p2606 @p2625)) % 1.02/1.26 (step @p2629 :rule cong :premises (@p2628 @p2627) :args ((= (_ @t2424 @t1316) @t1317))) % 1.02/1.26 (step @p2630 :rule symm :premises (@p2629)) % 1.02/1.26 (step @p2631 :rule refl :args (@t638)) % 1.02/1.26 (step @p2632 :rule eq_resolve :premises (@p2631 @p2630)) % 1.02/1.26 (step @p2633 :rule refl :args (@t33)) % 1.02/1.26 (step @p2634 :rule cong :premises (@p2633 @p2625) :args ((= @t33 @t1316))) % 1.02/1.26 (step @p2635 :rule symm :premises (@p2634)) % 1.02/1.26 (step @p2636 :rule eq_resolve :premises (@p2633 @p2635)) % 1.02/1.26 (step @p2637 :rule ho_cong :premises (@p2612 @p2636)) % 1.02/1.26 (step @p2638 :rule trans :premises (@p2637 @p2632)) % 1.02/1.26 (step @p2639 :rule nary_cong :premises (@p649 @p2638) :args (@t2427)) % 1.02/1.26 (step @p2640 :rule cong :premises (@p2639) :args ((forall @t46 @t2427))) % 1.02/1.26 (step @p2641 :rule bool-impl-elim :args (@t7 @t638)) % 1.02/1.26 (step @p2642 :rule cong :premises (@p2641) :args (@t639)) % 1.02/1.26 (step @p2643 :rule trans :premises (@p2642 @p2640)) % 1.02/1.26 (step @p2644 :rule refl :args (tptp.singletoninpowerset)) % 1.02/1.26 (step @p2645 :rule cong :premises (@p2644 @p2643) :args (@t640)) % 1.02/1.26 (step @p2646 :rule eq_resolve :premises (@p139 @p2645)) % 1.02/1.26 (step @p2647 :rule cong :premises (@p2646 @p2623) :args (@t2428)) % 1.02/1.26 (step @p2648 :rule refl :args ((tptp.subset @t279 @t2))) % 1.02/1.26 (step @p2649 :rule cong :premises (@p1282 @p1287) :args (@t1319)) % 1.02/1.26 (step @p2650 :rule trans :premises (@p2649 @p2648)) % 1.02/1.26 (step @p2651 :rule ho_cong :premises (@p854 @p1282)) % 1.02/1.26 (step @p2652 :rule ho_cong :premises (@p2651 @p1287)) % 1.02/1.26 (step @p2653 :rule cong :premises (@p2652 @p2650) :args ((= (_ (_ tptp.subset @t1156) @t2) @t1319))) % 1.02/1.26 (step @p2654 :rule symm :premises (@p2653)) % 1.02/1.26 (step @p2655 :rule refl :args (@t634)) % 1.02/1.26 (step @p2656 :rule eq_resolve :premises (@p2655 @p2654)) % 1.02/1.26 (step @p2657 :rule ho_cong :premises (@p854 @p1286)) % 1.02/1.26 (step @p2658 :rule ho_cong :premises (@p2657 @p1287)) % 1.02/1.26 (step @p2659 :rule trans :premises (@p2658 @p2656)) % 1.02/1.26 (step @p2660 :rule nary_cong :premises (@p649 @p2659) :args (@t2429)) % 1.02/1.26 (step @p2661 :rule cong :premises (@p2660) :args ((forall @t46 @t2429))) % 1.02/1.26 (step @p2662 :rule bool-impl-elim :args (@t7 @t634)) % 1.02/1.26 (step @p2663 :rule cong :premises (@p2662) :args (@t635)) % 1.02/1.26 (step @p2664 :rule trans :premises (@p2663 @p2661)) % 1.02/1.26 (step @p2665 :rule refl :args (tptp.singletonsubset)) % 1.02/1.26 (step @p2666 :rule cong :premises (@p2665 @p2664) :args (@t636)) % 1.02/1.26 (step @p2667 :rule eq_resolve :premises (@p138 @p2666)) % 1.02/1.26 (step @p2668 :rule cong :premises (@p2667 @p2647) :args (@t2430)) % 1.02/1.26 (step @p2669 :rule refl :args ((tptp.iskpair @t630))) % 1.02/1.26 (step @p2670 :rule cong :premises (@p694) :args (@t1321)) % 1.02/1.26 (step @p2671 :rule trans :premises (@p2670 @p2669)) % 1.02/1.26 (step @p2672 :rule refl :args (tptp.iskpair)) % 1.02/1.26 (step @p2673 :rule ho_cong :premises (@p2672 @p694)) % 1.02/1.26 (step @p2674 :rule cong :premises (@p2673 @p2671) :args ((= (_ tptp.iskpair @t1086) @t1321))) % 1.02/1.26 (step @p2675 :rule symm :premises (@p2674)) % 1.02/1.26 (step @p2676 :rule refl :args (@t631)) % 1.02/1.26 (step @p2677 :rule eq_resolve :premises (@p2676 @p2675)) % 1.02/1.26 (step @p2678 :rule ho_cong :premises (@p2672 @p722)) % 1.02/1.26 (step @p2679 :rule trans :premises (@p2678 @p2677)) % 1.02/1.26 (step @p2680 :rule cong :premises (@p2679) :args (@t632)) % 1.02/1.26 (step @p2681 :rule refl :args (tptp.kpairp)) % 1.02/1.26 (step @p2682 :rule cong :premises (@p2681 @p2680) :args (@t633)) % 1.02/1.26 (step @p2683 :rule eq_resolve :premises (@p137 @p2682)) % 1.02/1.26 (step @p2684 :rule cong :premises (@p2683 @p2668) :args (@t2431)) % 1.02/1.26 (step @p2685 :rule refl :args ((tptp.iskpair @t618))) % 1.02/1.26 (step @p2686 :rule cong :premises (@p1380) :args (@t1323)) % 1.02/1.26 (step @p2687 :rule trans :premises (@p2686 @p2685)) % 1.02/1.26 (step @p2688 :rule ho_cong :premises (@p2672 @p1380)) % 1.02/1.26 (step @p2689 :rule cong :premises (@p2688 @p2687) :args ((= (_ tptp.iskpair @t1170) @t1323))) % 1.02/1.26 (step @p2690 :rule symm :premises (@p2689)) % 1.02/1.26 (step @p2691 :rule refl :args (@t626)) % 1.02/1.26 (step @p2692 :rule eq_resolve :premises (@p2691 @p2690)) % 1.02/1.26 (step @p2693 :rule ho_cong :premises (@p2672 @p1410)) % 1.02/1.26 (step @p2694 :rule trans :premises (@p2693 @p2692)) % 1.02/1.26 (step @p2695 :rule cong :premises (@p2694) :args (@t627)) % 1.02/1.26 (step @p2696 :rule refl :args (tptp.kpairiskpair)) % 1.02/1.26 (step @p2697 :rule cong :premises (@p2696 @p2695) :args (@t628)) % 1.02/1.26 (step @p2698 :rule eq_resolve :premises (@p136 @p2697)) % 1.02/1.26 (step @p2699 :rule cong :premises (@p2698 @p2684) :args (@t2432)) % 1.02/1.26 (step @p2700 :rule refl :args ((tptp.in @t19 @t619))) % 1.02/1.26 (step @p2701 :rule refl :args ((tptp.setunion @t618))) % 1.02/1.26 (step @p2702 :rule cong :premises (@p1380) :args (@t1325)) % 1.02/1.26 (step @p2703 :rule trans :premises (@p2702 @p2701)) % 1.02/1.26 (step @p2704 :rule cong :premises (@p1049 @p2703) :args (@t1326)) % 1.02/1.26 (step @p2705 :rule trans :premises (@p2704 @p2700)) % 1.02/1.26 (step @p2706 :rule refl :args (@t20)) % 1.02/1.26 (step @p2707 :rule ho_cong :premises (@p2706 @p2703)) % 1.02/1.26 (step @p2708 :rule cong :premises (@p2707 @p2705) :args ((= (_ @t20 @t1325) @t1326))) % 1.02/1.26 (step @p2709 :rule symm :premises (@p2708)) % 1.02/1.26 (step @p2710 :rule refl :args (@t623)) % 1.02/1.26 (step @p2711 :rule eq_resolve :premises (@p2710 @p2709)) % 1.02/1.26 (step @p2712 :rule ho_cong :premises (@p2131 @p1380)) % 1.02/1.26 (step @p2713 :rule cong :premises (@p2712 @p2703) :args ((= (_ tptp.setunion @t1170) @t1325))) % 1.02/1.26 (step @p2714 :rule symm :premises (@p2713)) % 1.02/1.26 (step @p2715 :rule refl :args (@t619)) % 1.02/1.26 (step @p2716 :rule eq_resolve :premises (@p2715 @p2714)) % 1.02/1.26 (step @p2717 :rule ho_cong :premises (@p2131 @p1410)) % 1.02/1.26 (step @p2718 :rule trans :premises (@p2717 @p2716)) % 1.02/1.26 (step @p2719 :rule ho_cong :premises (@p2706 @p2718)) % 1.02/1.26 (step @p2720 :rule trans :premises (@p2719 @p2711)) % 1.02/1.26 (step @p2721 :rule cong :premises (@p2720) :args (@t624)) % 1.02/1.26 (step @p2722 :rule refl :args (tptp.setukpairIR)) % 1.02/1.26 (step @p2723 :rule cong :premises (@p2722 @p2721) :args (@t625)) % 1.02/1.26 (step @p2724 :rule eq_resolve :premises (@p135 @p2723)) % 1.02/1.26 (step @p2725 :rule cong :premises (@p2724 @p2699) :args (@t2433)) % 1.02/1.26 (step @p2726 :rule refl :args ((tptp.in @t4 @t619))) % 1.02/1.26 (step @p2727 :rule cong :premises (@p1096 @p2703) :args (@t1328)) % 1.02/1.26 (step @p2728 :rule trans :premises (@p2727 @p2726)) % 1.02/1.26 (step @p2729 :rule ho_cong :premises (@p2201 @p2703)) % 1.02/1.26 (step @p2730 :rule cong :premises (@p2729 @p2728) :args ((= (_ @t5 @t1325) @t1328))) % 1.02/1.26 (step @p2731 :rule symm :premises (@p2730)) % 1.02/1.26 (step @p2732 :rule refl :args (@t620)) % 1.02/1.26 (step @p2733 :rule eq_resolve :premises (@p2732 @p2731)) % 1.02/1.26 (step @p2734 :rule ho_cong :premises (@p2201 @p2718)) % 1.02/1.26 (step @p2735 :rule trans :premises (@p2734 @p2733)) % 1.02/1.26 (step @p2736 :rule cong :premises (@p2735) :args (@t621)) % 1.02/1.26 (step @p2737 :rule refl :args (tptp.setukpairIL)) % 1.02/1.26 (step @p2738 :rule cong :premises (@p2737 @p2736) :args (@t622)) % 1.02/1.26 (step @p2739 :rule eq_resolve :premises (@p134 @p2738)) % 1.02/1.26 (step @p2740 :rule cong :premises (@p2739 @p2725) :args (@t2434)) % 1.02/1.26 (step @p2741 :rule eq-symm :args (@t1331 tptp.secondinupair)) % 1.02/1.26 (step @p2742 :rule refl :args (tptp.secondinupair)) % 1.02/1.26 (step @p2743 :rule refl :args ((tptp.in @t19 @t291))) % 1.02/1.26 (step @p2744 :rule cong :premises (@p1049 @p1376) :args (@t1330)) % 1.02/1.26 (step @p2745 :rule trans :premises (@p2744 @p2743)) % 1.02/1.26 (step @p2746 :rule ho_cong :premises (@p2706 @p1376)) % 1.02/1.26 (step @p2747 :rule cong :premises (@p2746 @p2745) :args ((= (_ @t20 @t1168) @t1330))) % 1.02/1.26 (step @p2748 :rule symm :premises (@p2747)) % 1.02/1.26 (step @p2749 :rule refl :args (@t301)) % 1.02/1.26 (step @p2750 :rule eq_resolve :premises (@p2749 @p2748)) % 1.02/1.26 (step @p2751 :rule ho_cong :premises (@p2706 @p1404)) % 1.02/1.26 (step @p2752 :rule trans :premises (@p2751 @p2750)) % 1.02/1.26 (step @p2753 :rule cong :premises (@p2752) :args (@t302)) % 1.02/1.26 (step @p2754 :rule cong :premises (@p2753 @p2742) :args ((= @t302 tptp.secondinupair))) % 1.02/1.26 (step @p2755 :rule trans :premises (@p2754 @p2741)) % 1.02/1.26 (step @p2756 :rule eq-symm :args (tptp.secondinupair @t302)) % 1.02/1.26 (step @p2757 :rule trans :premises (@p2756 @p2755)) % 1.02/1.26 (step @p2758 :rule eq_resolve :premises (@p133 @p2757)) % 1.02/1.26 (step @p2759 :rule cong :premises (@p2758 @p2740) :args (@t2435)) % 1.02/1.26 (step @p2760 :rule refl :args ((tptp.in @t4 @t598))) % 1.02/1.26 (step @p2761 :rule refl :args (@t1332)) % 1.02/1.26 (step @p2762 :rule cong :premises (@p1096 @p2761) :args (@t1333)) % 1.02/1.26 (step @p2763 :rule trans :premises (@p2762 @p2760)) % 1.02/1.26 (step @p2764 :rule ho_cong :premises (@p2201 @p2761)) % 1.02/1.26 (step @p2765 :rule cong :premises (@p2764 @p2763) :args ((= (_ @t5 @t1332) @t1333))) % 1.02/1.26 (step @p2766 :rule symm :premises (@p2765)) % 1.02/1.26 (step @p2767 :rule refl :args (@t599)) % 1.02/1.26 (step @p2768 :rule eq_resolve :premises (@p2767 @p2766)) % 1.02/1.26 (step @p2769 :rule refl :args (@t598)) % 1.02/1.26 (step @p2770 :rule cong :premises (@p2769 @p2761) :args ((= @t598 @t1332))) % 1.02/1.26 (step @p2771 :rule symm :premises (@p2770)) % 1.02/1.26 (step @p2772 :rule eq_resolve :premises (@p2769 @p2771)) % 1.02/1.26 (step @p2773 :rule ho_cong :premises (@p2201 @p2772)) % 1.02/1.26 (step @p2774 :rule trans :premises (@p2773 @p2768)) % 1.02/1.26 (step @p2775 :rule cong :premises (@p2774) :args (@t609)) % 1.02/1.26 (step @p2776 :rule refl :args (@t1335)) % 1.02/1.26 (step @p2777 :rule refl :args (@t6)) % 1.02/1.26 (step @p2778 :rule cong :premises (@p2777 @p2776) :args ((= @t6 @t1335))) % 1.02/1.26 (step @p2779 :rule symm :premises (@p2778)) % 1.02/1.26 (step @p2780 :rule eq_resolve :premises (@p2777 @p2779)) % 1.02/1.26 (step @p2781 :rule nary_cong :premises (@p648 @p2780 @p2775) :args (@t2436)) % 1.02/1.26 (step @p2782 :rule cong :premises (@p2781) :args ((forall @t245 @t2436))) % 1.02/1.26 (step @p2783 :rule aci_norm :args ((= (or @t7 (or @t6 @t609)) @t2436))) % 1.02/1.26 (step @p2784 :rule refl :args (@t609)) % 1.02/1.26 (step @p2785 :rule bool-double-not-elim :args (@t6)) % 1.02/1.26 (step @p2786 :rule nary_cong :premises (@p2785 @p2784) :args ((or @t2437 @t609))) % 1.02/1.26 (step @p2787 :rule bool-impl-elim :args (@t435 @t609)) % 1.02/1.26 (step @p2788 :rule trans :premises (@p2787 @p2786)) % 1.02/1.26 (step @p2789 :rule nary_cong :premises (@p645 @p2788) :args ((or @t7 @t613))) % 1.02/1.26 (step @p2790 :rule trans :premises (@p2789 @p2783)) % 1.02/1.26 (step @p2791 :rule refl :args (@t613)) % 1.02/1.26 (step @p2792 :rule bool-double-not-elim :args (@t7)) % 1.02/1.26 (step @p2793 :rule nary_cong :premises (@p2792 @p2791) :args ((or @t2438 @t613))) % 1.02/1.26 (step @p2794 :rule bool-impl-elim :args (@t197 @t613)) % 1.02/1.26 (step @p2795 :rule trans :premises (@p2794 @p2793)) % 1.02/1.26 (step @p2796 :rule trans :premises (@p2795 @p2790)) % 1.02/1.26 (step @p2797 :rule cong :premises (@p2796) :args (@t614)) % 1.02/1.26 (step @p2798 :rule trans :premises (@p2797 @p2782)) % 1.02/1.26 (step @p2799 :rule refl :args (tptp.symdiffIneg2)) % 1.02/1.26 (step @p2800 :rule cong :premises (@p2799 @p2798) :args (@t615)) % 1.02/1.26 (step @p2801 :rule eq_resolve :premises (@p132 @p2800)) % 1.02/1.26 (step @p2802 :rule cong :premises (@p2801 @p2759) :args (@t2439)) % 1.02/1.26 (step @p2803 :rule cong :premises (@p2780) :args (@t435)) % 1.02/1.26 (step @p2804 :rule nary_cong :premises (@p649 @p2803 @p2775) :args (@t2440)) % 1.02/1.26 (step @p2805 :rule cong :premises (@p2804) :args ((forall @t245 @t2440))) % 1.02/1.26 (step @p2806 :rule aci_norm :args ((= (or @t197 (or @t435 @t609)) @t2440))) % 1.02/1.26 (step @p2807 :rule bool-impl-elim :args (@t6 @t609)) % 1.02/1.26 (step @p2808 :rule nary_cong :premises (@p806 @p2807) :args ((or @t197 @t610))) % 1.02/1.26 (step @p2809 :rule trans :premises (@p2808 @p2806)) % 1.02/1.26 (step @p2810 :rule bool-impl-elim :args (@t7 @t610)) % 1.02/1.26 (step @p2811 :rule trans :premises (@p2810 @p2809)) % 1.02/1.26 (step @p2812 :rule cong :premises (@p2811) :args (@t611)) % 1.02/1.26 (step @p2813 :rule trans :premises (@p2812 @p2805)) % 1.02/1.26 (step @p2814 :rule refl :args (tptp.symdiffIneg1)) % 1.02/1.26 (step @p2815 :rule cong :premises (@p2814 @p2813) :args (@t612)) % 1.02/1.26 (step @p2816 :rule eq_resolve :premises (@p131 @p2815)) % 1.02/1.26 (step @p2817 :rule cong :premises (@p2816 @p2802) :args (@t2441)) % 1.02/1.26 (step @p2818 :rule nary_cong :premises (@p648 @p2803 @p2774) :args (@t2442)) % 1.02/1.26 (step @p2819 :rule cong :premises (@p2818) :args ((forall @t245 @t2442))) % 1.02/1.26 (step @p2820 :rule aci_norm :args ((= (or @t7 (or @t435 @t599)) @t2442))) % 1.02/1.26 (step @p2821 :rule bool-impl-elim :args (@t6 @t599)) % 1.02/1.26 (step @p2822 :rule nary_cong :premises (@p645 @p2821) :args ((or @t7 @t606))) % 1.02/1.26 (step @p2823 :rule trans :premises (@p2822 @p2820)) % 1.02/1.26 (step @p2824 :rule refl :args (@t606)) % 1.02/1.26 (step @p2825 :rule nary_cong :premises (@p2792 @p2824) :args ((or @t2438 @t606))) % 1.02/1.26 (step @p2826 :rule bool-impl-elim :args (@t197 @t606)) % 1.02/1.26 (step @p2827 :rule trans :premises (@p2826 @p2825)) % 1.02/1.26 (step @p2828 :rule trans :premises (@p2827 @p2823)) % 1.02/1.26 (step @p2829 :rule cong :premises (@p2828) :args (@t607)) % 1.02/1.26 (step @p2830 :rule trans :premises (@p2829 @p2819)) % 1.02/1.26 (step @p2831 :rule refl :args (tptp.symdiffI2)) % 1.02/1.26 (step @p2832 :rule cong :premises (@p2831 @p2830) :args (@t608)) % 1.02/1.26 (step @p2833 :rule eq_resolve :premises (@p130 @p2832)) % 1.02/1.26 (step @p2834 :rule cong :premises (@p2833 @p2817) :args (@t2443)) % 1.02/1.26 (step @p2835 :rule nary_cong :premises (@p649 @p2780 @p2774) :args (@t2444)) % 1.02/1.26 (step @p2836 :rule cong :premises (@p2835) :args ((forall @t245 @t2444))) % 1.02/1.26 (step @p2837 :rule aci_norm :args ((= (or @t197 (or @t6 @t599)) @t2444))) % 1.02/1.26 (step @p2838 :rule nary_cong :premises (@p2785 @p2767) :args ((or @t2437 @t599))) % 1.02/1.26 (step @p2839 :rule bool-impl-elim :args (@t435 @t599)) % 1.02/1.26 (step @p2840 :rule trans :premises (@p2839 @p2838)) % 1.02/1.26 (step @p2841 :rule nary_cong :premises (@p806 @p2840) :args ((or @t197 @t603))) % 1.02/1.26 (step @p2842 :rule trans :premises (@p2841 @p2837)) % 1.02/1.26 (step @p2843 :rule bool-impl-elim :args (@t7 @t603)) % 1.02/1.26 (step @p2844 :rule trans :premises (@p2843 @p2842)) % 1.02/1.26 (step @p2845 :rule cong :premises (@p2844) :args (@t604)) % 1.02/1.26 (step @p2846 :rule trans :premises (@p2845 @p2836)) % 1.02/1.26 (step @p2847 :rule refl :args (tptp.symdiffI1)) % 1.02/1.26 (step @p2848 :rule cong :premises (@p2847 @p2846) :args (@t605)) % 1.02/1.26 (step @p2849 :rule eq_resolve :premises (@p129 @p2848)) % 1.02/1.26 (step @p2850 :rule cong :premises (@p2849 @p2834) :args (@t2445)) % 1.02/1.26 (step @p2851 :rule refl :args (@t1341)) % 1.02/1.26 (step @p2852 :rule refl :args (@t1342)) % 1.02/1.26 (step @p2853 :rule nary_cong :premises (@p2775 @p2852 @p2851) :args (@t2446)) % 1.02/1.26 (step @p2854 :rule cong :premises (@p2853) :args ((forall @t245 @t2446))) % 1.02/1.26 (step @p2855 :rule aci_norm :args ((= (or @t609 @t2447) @t2446))) % 1.02/1.26 (step @p2856 :rule bool-impl-elim :args (@t599 @t2447)) % 1.02/1.26 (step @p2857 :rule trans :premises (@p2856 @p2855)) % 1.02/1.26 (step @p2858 :rule cong :premises (@p2857) :args ((forall @t245 (=> @t599 @t2447)))) % 1.02/1.26 (step @p2859 :rule trans :premises (@p2858 @p2854)) % 1.02/1.26 (step @p2860 :rule aci_norm :args ((= (and @t1095 @t1335 true) @t1341))) % 1.02/1.26 (step @p2861 :rule evaluate :args (@t2448)) % 1.02/1.26 (step @p2862 :rule refl :args (@t1335)) % 1.02/1.26 (step @p2863 :rule nary_cong :premises (@p758 @p2862 @p2861) :args (@t2449)) % 1.02/1.26 (step @p2864 :rule trans :premises (@p2863 @p2860)) % 1.02/1.26 (step @p2865 :rule aci_norm :args ((= (and @t1067 @t1337 true) @t1342))) % 1.02/1.26 (step @p2866 :rule refl :args (@t1337)) % 1.02/1.26 (step @p2867 :rule refl :args (@t1067)) % 1.02/1.26 (step @p2868 :rule nary_cong :premises (@p2867 @p2866 @p2861) :args (@t2450)) % 1.02/1.26 (step @p2869 :rule trans :premises (@p2868 @p2865)) % 1.02/1.26 (step @p2870 :rule nary_cong :premises (@p2869 @p2864) :args (@t2451)) % 1.02/1.26 (step @p2871 :rule aci_norm :args ((= @t2452 @t2451))) % 1.02/1.26 (step @p2872 :rule trans :premises (@p2871 @p2870)) % 1.02/1.26 (step @p2873 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2456 @t2455 @t2454 @t173)) @t2452))) % 1.02/1.26 (step @p2874 :rule refl :args (@t173)) % 1.02/1.26 (step @p2875 :rule refl :args (@t2454)) % 1.02/1.26 (step @p2876 :rule refl :args (@t2455)) % 1.02/1.26 (step @p2877 :rule bool-eq-false :args (@t173)) % 1.02/1.26 (step @p2878 :rule symm :premises (@p2877)) % 1.02/1.26 (step @p2879 :rule cong :premises (@p2878) :args ((not @t2453))) % 1.02/1.26 (step @p2880 :rule bool-double-not-elim :args (@t173)) % 1.02/1.26 (step @p2881 :rule symm :premises (@p2880)) % 1.02/1.26 (step @p2882 :rule trans :premises (@p2881 @p2879)) % 1.02/1.26 (step @p2883 :rule nary_cong :premises (@p2882 @p2876 @p2875 @p2874) :args (@t2457)) % 1.02/1.26 (step @p2884 :rule aci_norm :args ((= @t2458 @t2457))) % 1.02/1.26 (step @p2885 :rule trans :premises (@p2884 @p2883)) % 1.02/1.26 (step @p2886 :rule cong :premises (@p2885) :args ((forall @t179 @t2458))) % 1.02/1.26 (step @p2887 :rule trans :premises (@p2886 @p2873)) % 1.02/1.26 (step @p2888 :rule trans :premises (@p2887 @p2872)) % 1.02/1.26 (step @p2889 :rule refl :args (@t2453)) % 1.02/1.26 (step @p2890 :rule nary_cong :premises (@p649 @p2780 @p2889) :args (@t2459)) % 1.02/1.26 (step @p2891 :rule nary_cong :premises (@p648 @p2803 @p2889) :args (@t2460)) % 1.02/1.26 (step @p2892 :rule nary_cong :premises (@p2891 @p2890 @p2874) :args (@t2461)) % 1.02/1.26 (step @p2893 :rule cong :premises (@p2892) :args ((forall @t179 @t2461))) % 1.02/1.26 (step @p2894 :rule trans :premises (@p2893 @p2888)) % 1.02/1.26 (step @p2895 :rule aci_norm :args ((= (or @t2460 (or @t2459 @t173)) @t2461))) % 1.02/1.26 (step @p2896 :rule aci_norm :args ((= (and @t197 @t2462) @t2459))) % 1.02/1.26 (step @p2897 :rule bool-implies-de-morgan :args (@t6 @t173)) % 1.02/1.26 (step @p2898 :rule nary_cong :premises (@p806 @p2897) :args ((and @t197 @t2463))) % 1.02/1.26 (step @p2899 :rule trans :premises (@p2898 @p2896)) % 1.02/1.26 (step @p2900 :rule bool-implies-de-morgan :args (@t197 @t498)) % 1.02/1.26 (step @p2901 :rule trans :premises (@p2900 @p2899)) % 1.02/1.26 (step @p2902 :rule nary_cong :premises (@p2901 @p2874) :args ((or (not @t593) @t173))) % 1.02/1.26 (step @p2903 :rule bool-impl-elim :args (@t593 @t173)) % 1.02/1.26 (step @p2904 :rule trans :premises (@p2903 @p2902)) % 1.02/1.26 (step @p2905 :rule aci_norm :args ((= (and @t7 (and @t435 @t2453)) @t2460))) % 1.02/1.26 (step @p2906 :rule bool-implies-de-morgan :args (@t435 @t173)) % 1.02/1.26 (step @p2907 :rule nary_cong :premises (@p645 @p2906) :args ((and @t7 (not @t595)))) % 1.02/1.26 (step @p2908 :rule trans :premises (@p2907 @p2905)) % 1.02/1.26 (step @p2909 :rule bool-implies-de-morgan :args (@t7 @t595)) % 1.02/1.26 (step @p2910 :rule trans :premises (@p2909 @p2908)) % 1.02/1.26 (step @p2911 :rule nary_cong :premises (@p2910 @p2904) :args ((or (not @t596) @t594))) % 1.02/1.26 (step @p2912 :rule trans :premises (@p2911 @p2895)) % 1.02/1.26 (step @p2913 :rule bool-impl-elim :args (@t596 @t594)) % 1.02/1.26 (step @p2914 :rule trans :premises (@p2913 @p2912)) % 1.02/1.26 (step @p2915 :rule cong :premises (@p2914) :args (@t597)) % 1.02/1.26 (step @p2916 :rule trans :premises (@p2915 @p2894)) % 1.02/1.26 (step @p2917 :rule refl :args (@t599)) % 1.02/1.26 (step @p2918 :rule cong :premises (@p2917 @p2916) :args (@t600)) % 1.02/1.26 (step @p2919 :rule cong :premises (@p2918) :args (@t601)) % 1.02/1.26 (step @p2920 :rule trans :premises (@p2919 @p2859)) % 1.02/1.26 (step @p2921 :rule refl :args (tptp.symdiffE)) % 1.02/1.26 (step @p2922 :rule cong :premises (@p2921 @p2920) :args (@t602)) % 1.02/1.26 (step @p2923 :rule eq_resolve :premises (@p128 @p2922)) % 1.02/1.26 (step @p2924 :rule cong :premises (@p2923 @p2850) :args (@t2464)) % 1.02/1.26 (step @p2925 :rule refl :args (@t1344)) % 1.02/1.26 (step @p2926 :rule refl :args (@t420)) % 1.02/1.26 (step @p2927 :rule cong :premises (@p2926 @p2925) :args ((= @t420 @t1344))) % 1.02/1.26 (step @p2928 :rule symm :premises (@p2927)) % 1.02/1.26 (step @p2929 :rule eq_resolve :premises (@p2926 @p2928)) % 1.02/1.26 (step @p2930 :rule refl :args (@t1345)) % 1.02/1.26 (step @p2931 :rule refl :args (@t565)) % 1.02/1.26 (step @p2932 :rule cong :premises (@p2931 @p2930) :args ((= @t565 @t1345))) % 1.02/1.26 (step @p2933 :rule symm :premises (@p2932)) % 1.02/1.26 (step @p2934 :rule eq_resolve :premises (@p2931 @p2933)) % 1.02/1.26 (step @p2935 :rule cong :premises (@p248 @p2934) :args (@t2465)) % 1.02/1.26 (step @p2936 :rule cong :premises (@p2935) :args (@t2466)) % 1.02/1.26 (step @p2937 :rule nary_cong :premises (@p2936 @p2929) :args (@t2467)) % 1.02/1.26 (step @p2938 :rule cong :premises (@p2937) :args ((forall @t12 @t2467))) % 1.02/1.26 (step @p2939 :rule bool-impl-elim :args (@t2465 @t420)) % 1.02/1.26 (step @p2940 :rule cong :premises (@p2939) :args ((forall @t12 (=> @t2465 @t420)))) % 1.02/1.26 (step @p2941 :rule trans :premises (@p2940 @p2938)) % 1.02/1.26 (step @p2942 :rule refl :args (@t420)) % 1.02/1.26 (step @p2943 :rule eq-symm :args (@t565 tptp.emptyset)) % 1.02/1.26 (step @p2944 :rule cong :premises (@p2943 @p2942) :args (@t590)) % 1.02/1.26 (step @p2945 :rule cong :premises (@p2944) :args (@t591)) % 1.02/1.26 (step @p2946 :rule trans :premises (@p2945 @p2941)) % 1.02/1.26 (step @p2947 :rule refl :args (tptp.setminusSubset1)) % 1.02/1.26 (step @p2948 :rule cong :premises (@p2947 @p2946) :args (@t592)) % 1.02/1.26 (step @p2949 :rule eq_resolve :premises (@p127 @p2948)) % 1.02/1.26 (step @p2950 :rule cong :premises (@p2949 @p2924) :args (@t2468)) % 1.02/1.26 (step @p2951 :rule refl :args ((tptp.subset @t565 @t2))) % 1.02/1.26 (step @p2952 :rule cong :premises (@p2930 @p1287) :args (@t1348)) % 1.02/1.26 (step @p2953 :rule trans :premises (@p2952 @p2951)) % 1.02/1.26 (step @p2954 :rule ho_cong :premises (@p854 @p2930)) % 1.02/1.26 (step @p2955 :rule ho_cong :premises (@p2954 @p1287)) % 1.02/1.26 (step @p2956 :rule cong :premises (@p2955 @p2953) :args ((= (_ (_ tptp.subset @t1345) @t2) @t1348))) % 1.02/1.26 (step @p2957 :rule symm :premises (@p2956)) % 1.02/1.26 (step @p2958 :rule refl :args (@t587)) % 1.02/1.26 (step @p2959 :rule eq_resolve :premises (@p2958 @p2957)) % 1.02/1.26 (step @p2960 :rule ho_cong :premises (@p854 @p2934)) % 1.02/1.26 (step @p2961 :rule ho_cong :premises (@p2960 @p1287)) % 1.02/1.26 (step @p2962 :rule trans :premises (@p2961 @p2959)) % 1.02/1.26 (step @p2963 :rule cong :premises (@p2962) :args (@t588)) % 1.02/1.26 (step @p2964 :rule refl :args (tptp.setminusLsub)) % 1.02/1.26 (step @p2965 :rule cong :premises (@p2964 @p2963) :args (@t589)) % 1.02/1.26 (step @p2966 :rule eq_resolve :premises (@p126 @p2965)) % 1.02/1.26 (step @p2967 :rule cong :premises (@p2966 @p2950) :args (@t2469)) % 1.02/1.26 (step @p2968 :rule refl :args ((tptp.in @t4 @t565))) % 1.02/1.26 (step @p2969 :rule cong :premises (@p1096 @p2930) :args (@t1350)) % 1.02/1.26 (step @p2970 :rule trans :premises (@p2969 @p2968)) % 1.02/1.26 (step @p2971 :rule ho_cong :premises (@p2201 @p2930)) % 1.02/1.26 (step @p2972 :rule cong :premises (@p2971 @p2970) :args ((= (_ @t5 @t1345) @t1350))) % 1.02/1.26 (step @p2973 :rule symm :premises (@p2972)) % 1.02/1.26 (step @p2974 :rule refl :args (@t566)) % 1.02/1.26 (step @p2975 :rule eq_resolve :premises (@p2974 @p2973)) % 1.02/1.26 (step @p2976 :rule ho_cong :premises (@p2201 @p2934)) % 1.02/1.26 (step @p2977 :rule trans :premises (@p2976 @p2975)) % 1.02/1.26 (step @p2978 :rule cong :premises (@p2977) :args (@t578)) % 1.02/1.26 (step @p2979 :rule nary_cong :premises (@p2803 @p2978) :args (@t2470)) % 1.02/1.26 (step @p2980 :rule cong :premises (@p2979) :args ((forall @t245 @t2470))) % 1.02/1.26 (step @p2981 :rule bool-impl-elim :args (@t6 @t578)) % 1.02/1.26 (step @p2982 :rule cong :premises (@p2981) :args (@t585)) % 1.02/1.26 (step @p2983 :rule trans :premises (@p2982 @p2980)) % 1.02/1.26 (step @p2984 :rule refl :args (tptp.setminusIRneg)) % 1.02/1.26 (step @p2985 :rule cong :premises (@p2984 @p2983) :args (@t586)) % 1.02/1.26 (step @p2986 :rule eq_resolve :premises (@p125 @p2985)) % 1.02/1.26 (step @p2987 :rule cong :premises (@p2986 @p2967) :args (@t2471)) % 1.02/1.26 (step @p2988 :rule nary_cong :premises (@p648 @p2978) :args (@t2472)) % 1.02/1.26 (step @p2989 :rule cong :premises (@p2988) :args ((forall @t245 @t2472))) % 1.02/1.26 (step @p2990 :rule refl :args (@t578)) % 1.02/1.26 (step @p2991 :rule nary_cong :premises (@p2792 @p2990) :args ((or @t2438 @t578))) % 1.02/1.26 (step @p2992 :rule bool-impl-elim :args (@t197 @t578)) % 1.02/1.26 (step @p2993 :rule trans :premises (@p2992 @p2991)) % 1.02/1.26 (step @p2994 :rule cong :premises (@p2993) :args (@t583)) % 1.02/1.26 (step @p2995 :rule trans :premises (@p2994 @p2989)) % 1.02/1.26 (step @p2996 :rule refl :args (tptp.setminusILneg)) % 1.02/1.26 (step @p2997 :rule cong :premises (@p2996 @p2995) :args (@t584)) % 1.02/1.26 (step @p2998 :rule eq_resolve :premises (@p124 @p2997)) % 1.02/1.26 (step @p2999 :rule cong :premises (@p2998 @p2987) :args (@t2473)) % 1.02/1.26 (step @p3000 :rule nary_cong :premises (@p2977 @p2780 @p649) :args (@t2474)) % 1.02/1.26 (step @p3001 :rule cong :premises (@p3000) :args ((forall @t245 @t2474))) % 1.02/1.26 (step @p3002 :rule aci_norm :args ((= (or @t566 @t2475) @t2474))) % 1.02/1.26 (step @p3003 :rule nary_cong :premises (@p2785 @p806) :args ((or @t2437 @t197))) % 1.02/1.26 (step @p3004 :rule bool-impl-elim :args (@t435 @t197)) % 1.02/1.26 (step @p3005 :rule trans :premises (@p3004 @p3003)) % 1.02/1.26 (step @p3006 :rule nary_cong :premises (@p2974 @p3005) :args ((or @t566 @t436))) % 1.02/1.26 (step @p3007 :rule trans :premises (@p3006 @p3002)) % 1.02/1.26 (step @p3008 :rule refl :args (@t436)) % 1.02/1.26 (step @p3009 :rule bool-double-not-elim :args (@t566)) % 1.02/1.26 (step @p3010 :rule nary_cong :premises (@p3009 @p3008) :args ((or @t2476 @t436))) % 1.02/1.26 (step @p3011 :rule bool-impl-elim :args (@t578 @t436)) % 1.02/1.26 (step @p3012 :rule trans :premises (@p3011 @p3010)) % 1.02/1.26 (step @p3013 :rule trans :premises (@p3012 @p3007)) % 1.02/1.26 (step @p3014 :rule cong :premises (@p3013) :args (@t581)) % 1.02/1.26 (step @p3015 :rule trans :premises (@p3014 @p3001)) % 1.02/1.26 (step @p3016 :rule refl :args (tptp.setminusELneg)) % 1.02/1.26 (step @p3017 :rule cong :premises (@p3016 @p3015) :args (@t582)) % 1.02/1.26 (step @p3018 :rule eq_resolve :premises (@p123 @p3017)) % 1.02/1.26 (step @p3019 :rule cong :premises (@p3018 @p2999) :args (@t2477)) % 1.02/1.26 (step @p3020 :rule nary_cong :premises (@p2977 @p649 @p2780) :args (@t2478)) % 1.02/1.26 (step @p3021 :rule cong :premises (@p3020) :args ((forall @t245 @t2478))) % 1.02/1.26 (step @p3022 :rule aci_norm :args ((= (or @t566 @t2479) @t2478))) % 1.02/1.26 (step @p3023 :rule bool-impl-elim :args (@t7 @t6)) % 1.02/1.26 (step @p3024 :rule nary_cong :premises (@p2974 @p3023) :args ((or @t566 @t191))) % 1.02/1.26 (step @p3025 :rule trans :premises (@p3024 @p3022)) % 1.02/1.26 (step @p3026 :rule refl :args (@t191)) % 1.02/1.26 (step @p3027 :rule nary_cong :premises (@p3009 @p3026) :args ((or @t2476 @t191))) % 1.02/1.26 (step @p3028 :rule bool-impl-elim :args (@t578 @t191)) % 1.02/1.26 (step @p3029 :rule trans :premises (@p3028 @p3027)) % 1.02/1.26 (step @p3030 :rule trans :premises (@p3029 @p3025)) % 1.02/1.26 (step @p3031 :rule cong :premises (@p3030) :args (@t579)) % 1.02/1.26 (step @p3032 :rule trans :premises (@p3031 @p3021)) % 1.02/1.26 (step @p3033 :rule refl :args (tptp.setminusERneg)) % 1.02/1.26 (step @p3034 :rule cong :premises (@p3033 @p3032) :args (@t580)) % 1.02/1.26 (step @p3035 :rule eq_resolve :premises (@p122 @p3034)) % 1.02/1.26 (step @p3036 :rule cong :premises (@p3035 @p3019) :args (@t2480)) % 1.02/1.26 (step @p3037 :rule cong :premises (@p2929) :args (@t439)) % 1.02/1.26 (step @p3038 :rule nary_cong :premises (@p3037 @p2935) :args (@t2481)) % 1.02/1.26 (step @p3039 :rule cong :premises (@p3038) :args ((forall @t12 @t2481))) % 1.02/1.26 (step @p3040 :rule bool-impl-elim :args (@t420 @t2465)) % 1.02/1.26 (step @p3041 :rule cong :premises (@p3040) :args ((forall @t12 (=> @t420 @t2465)))) % 1.02/1.26 (step @p3042 :rule trans :premises (@p3041 @p3039)) % 1.02/1.26 (step @p3043 :rule cong :premises (@p2942 @p2943) :args (@t575)) % 1.02/1.26 (step @p3044 :rule cong :premises (@p3043) :args (@t576)) % 1.02/1.26 (step @p3045 :rule trans :premises (@p3044 @p3042)) % 1.02/1.26 (step @p3046 :rule refl :args (tptp.setminusSubset2)) % 1.02/1.26 (step @p3047 :rule cong :premises (@p3046 @p3045) :args (@t577)) % 1.02/1.26 (step @p3048 :rule eq_resolve :premises (@p121 @p3047)) % 1.02/1.26 (step @p3049 :rule cong :premises (@p3048 @p3036) :args (@t2482)) % 1.02/1.26 (step @p3050 :rule nary_cong :premises (@p2978 @p2803) :args (@t2483)) % 1.02/1.26 (step @p3051 :rule cong :premises (@p3050) :args ((forall @t245 @t2483))) % 1.02/1.26 (step @p3052 :rule bool-impl-elim :args (@t566 @t435)) % 1.02/1.26 (step @p3053 :rule cong :premises (@p3052) :args (@t572)) % 1.02/1.26 (step @p3054 :rule trans :premises (@p3053 @p3051)) % 1.02/1.26 (step @p3055 :rule refl :args (tptp.setminusER)) % 1.02/1.26 (step @p3056 :rule cong :premises (@p3055 @p3054) :args (@t573)) % 1.02/1.26 (step @p3057 :rule eq_resolve :premises (@p120 @p3056)) % 1.02/1.26 (step @p3058 :rule cong :premises (@p3057 @p3049) :args (@t2484)) % 1.02/1.26 (step @p3059 :rule nary_cong :premises (@p2978 @p648) :args (@t2485)) % 1.02/1.26 (step @p3060 :rule cong :premises (@p3059) :args ((forall @t245 @t2485))) % 1.02/1.26 (step @p3061 :rule bool-impl-elim :args (@t566 @t7)) % 1.02/1.26 (step @p3062 :rule cong :premises (@p3061) :args (@t570)) % 1.02/1.26 (step @p3063 :rule trans :premises (@p3062 @p3060)) % 1.02/1.26 (step @p3064 :rule refl :args (tptp.setminusEL)) % 1.02/1.26 (step @p3065 :rule cong :premises (@p3064 @p3063) :args (@t571)) % 1.02/1.26 (step @p3066 :rule eq_resolve :premises (@p119 @p3065)) % 1.02/1.26 (step @p3067 :rule cong :premises (@p3066 @p3058) :args (@t2486)) % 1.02/1.26 (step @p3068 :rule nary_cong :premises (@p649 @p2780 @p2977) :args (@t2487)) % 1.02/1.26 (step @p3069 :rule cong :premises (@p3068) :args ((forall @t245 @t2487))) % 1.02/1.26 (step @p3070 :rule aci_norm :args ((= (or @t197 (or @t6 @t566)) @t2487))) % 1.02/1.26 (step @p3071 :rule nary_cong :premises (@p2785 @p2974) :args ((or @t2437 @t566))) % 1.02/1.26 (step @p3072 :rule bool-impl-elim :args (@t435 @t566)) % 1.02/1.26 (step @p3073 :rule trans :premises (@p3072 @p3071)) % 1.02/1.26 (step @p3074 :rule nary_cong :premises (@p806 @p3073) :args ((or @t197 @t567))) % 1.02/1.26 (step @p3075 :rule trans :premises (@p3074 @p3070)) % 1.02/1.26 (step @p3076 :rule bool-impl-elim :args (@t7 @t567)) % 1.02/1.26 (step @p3077 :rule trans :premises (@p3076 @p3075)) % 1.02/1.26 (step @p3078 :rule cong :premises (@p3077) :args (@t568)) % 1.02/1.26 (step @p3079 :rule trans :premises (@p3078 @p3069)) % 1.02/1.26 (step @p3080 :rule refl :args (tptp.setminusI)) % 1.02/1.26 (step @p3081 :rule cong :premises (@p3080 @p3079) :args (@t569)) % 1.02/1.26 (step @p3082 :rule eq_resolve :premises (@p118 @p3081)) % 1.02/1.26 (step @p3083 :rule cong :premises (@p3082 @p3067) :args (@t2488)) % 1.02/1.26 (step @p3084 :rule refl :args ((tptp.binunion @t515 @t558))) % 1.02/1.26 (step @p3085 :rule refl :args (@t1361)) % 1.02/1.26 (step @p3086 :rule refl :args (@t1362)) % 1.02/1.26 (step @p3087 :rule cong :premises (@p3086 @p3085) :args (@t1363)) % 1.02/1.26 (step @p3088 :rule trans :premises (@p3087 @p3084)) % 1.02/1.26 (step @p3089 :rule refl :args (tptp.binunion)) % 1.02/1.26 (step @p3090 :rule ho_cong :premises (@p3089 @p3086)) % 1.02/1.26 (step @p3091 :rule ho_cong :premises (@p3090 @p3085)) % 1.02/1.26 (step @p3092 :rule cong :premises (@p3091 @p3088) :args ((= (_ (_ tptp.binunion @t1362) @t1361) @t1363))) % 1.02/1.26 (step @p3093 :rule symm :premises (@p3092)) % 1.02/1.26 (step @p3094 :rule refl :args (@t559)) % 1.02/1.26 (step @p3095 :rule eq_resolve :premises (@p3094 @p3093)) % 1.02/1.26 (step @p3096 :rule refl :args (@t558)) % 1.02/1.26 (step @p3097 :rule cong :premises (@p3096 @p3085) :args ((= @t558 @t1361))) % 1.02/1.26 (step @p3098 :rule symm :premises (@p3097)) % 1.02/1.26 (step @p3099 :rule eq_resolve :premises (@p3096 @p3098)) % 1.02/1.26 (step @p3100 :rule refl :args (@t515)) % 1.02/1.26 (step @p3101 :rule cong :premises (@p3100 @p3086) :args ((= @t515 @t1362))) % 1.02/1.26 (step @p3102 :rule symm :premises (@p3101)) % 1.02/1.26 (step @p3103 :rule eq_resolve :premises (@p3100 @p3102)) % 1.02/1.26 (step @p3104 :rule ho_cong :premises (@p3089 @p3103)) % 1.02/1.26 (step @p3105 :rule ho_cong :premises (@p3104 @p3099)) % 1.02/1.26 (step @p3106 :rule trans :premises (@p3105 @p3095)) % 1.02/1.26 (step @p3107 :rule refl :args ((tptp.binintersect @t2 @t560))) % 1.02/1.26 (step @p3108 :rule refl :args (@t1364)) % 1.02/1.26 (step @p3109 :rule cong :premises (@p1287 @p3108) :args (@t1365)) % 1.02/1.26 (step @p3110 :rule trans :premises (@p3109 @p3107)) % 1.02/1.26 (step @p3111 :rule refl :args (@t514)) % 1.02/1.26 (step @p3112 :rule ho_cong :premises (@p3111 @p3108)) % 1.02/1.26 (step @p3113 :rule cong :premises (@p3112 @p3110) :args ((= (_ @t514 @t1364) @t1365))) % 1.02/1.26 (step @p3114 :rule symm :premises (@p3113)) % 1.02/1.26 (step @p3115 :rule refl :args (@t561)) % 1.02/1.26 (step @p3116 :rule eq_resolve :premises (@p3115 @p3114)) % 1.02/1.26 (step @p3117 :rule refl :args (@t560)) % 1.02/1.26 (step @p3118 :rule cong :premises (@p3117 @p3108) :args ((= @t560 @t1364))) % 1.02/1.26 (step @p3119 :rule symm :premises (@p3118)) % 1.02/1.26 (step @p3120 :rule eq_resolve :premises (@p3117 @p3119)) % 1.02/1.26 (step @p3121 :rule ho_cong :premises (@p3111 @p3120)) % 1.02/1.26 (step @p3122 :rule trans :premises (@p3121 @p3116)) % 1.02/1.26 (step @p3123 :rule cong :premises (@p3122 @p3106) :args (@t562)) % 1.02/1.26 (step @p3124 :rule cong :premises (@p3123) :args (@t563)) % 1.02/1.26 (step @p3125 :rule refl :args (tptp.bs114d)) % 1.02/1.26 (step @p3126 :rule cong :premises (@p3125 @p3124) :args (@t564)) % 1.02/1.26 (step @p3127 :rule eq_resolve :premises (@p117 @p3126)) % 1.02/1.26 (step @p3128 :rule cong :premises (@p3127 @p3083) :args (@t2489)) % 1.02/1.26 (step @p3129 :rule cong :premises (@p1287 @p3103) :args (@t2490)) % 1.02/1.26 (step @p3130 :rule cong :premises (@p3129) :args (@t2491)) % 1.02/1.26 (step @p3131 :rule nary_cong :premises (@p3130 @p2929) :args (@t2492)) % 1.02/1.26 (step @p3132 :rule cong :premises (@p3131) :args ((forall @t12 @t2492))) % 1.02/1.26 (step @p3133 :rule bool-impl-elim :args (@t2490 @t420)) % 1.02/1.26 (step @p3134 :rule cong :premises (@p3133) :args ((forall @t12 (=> @t2490 @t420)))) % 1.02/1.26 (step @p3135 :rule trans :premises (@p3134 @p3132)) % 1.02/1.26 (step @p3136 :rule eq-symm :args (@t515 @t2)) % 1.02/1.26 (step @p3137 :rule cong :premises (@p3136 @p2942) :args (@t555)) % 1.02/1.26 (step @p3138 :rule cong :premises (@p3137) :args (@t556)) % 1.02/1.26 (step @p3139 :rule trans :premises (@p3138 @p3135)) % 1.02/1.26 (step @p3140 :rule refl :args (tptp.binintersectSubset1)) % 1.02/1.26 (step @p3141 :rule cong :premises (@p3140 @p3139) :args (@t557)) % 1.02/1.26 (step @p3142 :rule eq_resolve :premises (@p116 @p3141)) % 1.02/1.26 (step @p3143 :rule cong :premises (@p3142 @p3128) :args (@t2493)) % 1.02/1.26 (step @p3144 :rule cong :premises (@p1165 @p3103) :args (@t2494)) % 1.02/1.26 (step @p3145 :rule refl :args (@t1370)) % 1.02/1.26 (step @p3146 :rule refl :args (@t425)) % 1.02/1.26 (step @p3147 :rule cong :premises (@p3146 @p3145) :args ((= @t425 @t1370))) % 1.02/1.26 (step @p3148 :rule symm :premises (@p3147)) % 1.02/1.26 (step @p3149 :rule eq_resolve :premises (@p3146 @p3148)) % 1.02/1.26 (step @p3150 :rule cong :premises (@p3149) :args (@t2495)) % 1.02/1.26 (step @p3151 :rule nary_cong :premises (@p3150 @p3144) :args (@t2496)) % 1.02/1.26 (step @p3152 :rule cong :premises (@p3151) :args ((forall @t12 @t2496))) % 1.02/1.26 (step @p3153 :rule bool-impl-elim :args (@t425 @t2494)) % 1.02/1.26 (step @p3154 :rule cong :premises (@p3153) :args ((forall @t12 (=> @t425 @t2494)))) % 1.02/1.26 (step @p3155 :rule trans :premises (@p3154 @p3152)) % 1.02/1.26 (step @p3156 :rule eq-symm :args (@t515 @t1)) % 1.02/1.26 (step @p3157 :rule refl :args (@t425)) % 1.02/1.26 (step @p3158 :rule cong :premises (@p3157 @p3156) :args (@t552)) % 1.02/1.26 (step @p3159 :rule cong :premises (@p3158) :args (@t553)) % 1.02/1.26 (step @p3160 :rule trans :premises (@p3159 @p3155)) % 1.02/1.26 (step @p3161 :rule refl :args (tptp.binintersectSubset4)) % 1.02/1.26 (step @p3162 :rule cong :premises (@p3161 @p3160) :args (@t554)) % 1.02/1.26 (step @p3163 :rule eq_resolve :premises (@p115 @p3162)) % 1.02/1.26 (step @p3164 :rule cong :premises (@p3163 @p3143) :args (@t2497)) % 1.02/1.26 (step @p3165 :rule refl :args ((tptp.subset @t515 @t1))) % 1.02/1.26 (step @p3166 :rule cong :premises (@p3086 @p1165) :args (@t1373)) % 1.02/1.26 (step @p3167 :rule trans :premises (@p3166 @p3165)) % 1.02/1.26 (step @p3168 :rule ho_cong :premises (@p854 @p3086)) % 1.02/1.26 (step @p3169 :rule ho_cong :premises (@p3168 @p1165)) % 1.02/1.26 (step @p3170 :rule cong :premises (@p3169 @p3167) :args ((= (_ @t2498 @t1) @t1373))) % 1.02/1.26 (step @p3171 :rule symm :premises (@p3170)) % 1.02/1.26 (step @p3172 :rule refl :args (@t549)) % 1.02/1.26 (step @p3173 :rule eq_resolve :premises (@p3172 @p3171)) % 1.02/1.26 (step @p3174 :rule ho_cong :premises (@p854 @p3103)) % 1.02/1.26 (step @p3175 :rule ho_cong :premises (@p3174 @p1165)) % 1.02/1.26 (step @p3176 :rule trans :premises (@p3175 @p3173)) % 1.02/1.26 (step @p3177 :rule cong :premises (@p3176) :args (@t550)) % 1.02/1.26 (step @p3178 :rule refl :args (tptp.binintersectRsub)) % 1.02/1.26 (step @p3179 :rule cong :premises (@p3178 @p3177) :args (@t551)) % 1.02/1.26 (step @p3180 :rule eq_resolve :premises (@p114 @p3179)) % 1.02/1.26 (step @p3181 :rule cong :premises (@p3180 @p3164) :args (@t2499)) % 1.02/1.26 (step @p3182 :rule cong :premises (@p248 @p3103) :args (@t2500)) % 1.02/1.26 (step @p3183 :rule refl :args (@t1376)) % 1.02/1.26 (step @p3184 :rule nary_cong :premises (@p3183 @p3182) :args (@t2501)) % 1.02/1.26 (step @p3185 :rule cong :premises (@p3184) :args ((forall @t12 @t2501))) % 1.02/1.26 (step @p3186 :rule bool-impl-elim :args (@t1375 @t2500)) % 1.02/1.26 (step @p3187 :rule cong :premises (@p3186) :args ((forall @t12 (=> @t1375 @t2500)))) % 1.02/1.26 (step @p3188 :rule trans :premises (@p3187 @p3185)) % 1.02/1.26 (step @p3189 :rule eq-symm :args (@t515 tptp.emptyset)) % 1.02/1.26 (step @p3190 :rule bool-double-not-elim :args (@t1375)) % 1.02/1.26 (step @p3191 :rule nary_cong :premises (@p649 @p2803) :args (@t2502)) % 1.02/1.26 (step @p3192 :rule cong :premises (@p3191) :args ((forall @t9 @t2502))) % 1.02/1.26 (step @p3193 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 1.02/1.26 (step @p3194 :rule cong :premises (@p3193) :args (@t2503)) % 1.02/1.26 (step @p3195 :rule trans :premises (@p3194 @p3192)) % 1.02/1.26 (step @p3196 :rule cong :premises (@p3195) :args (@t2504)) % 1.02/1.26 (step @p3197 :rule exists-elim :args ((= @t544 @t2504))) % 1.02/1.26 (step @p3198 :rule trans :premises (@p3197 @p3196)) % 1.02/1.26 (step @p3199 :rule cong :premises (@p3198) :args (@t545)) % 1.02/1.26 (step @p3200 :rule trans :premises (@p3199 @p3190)) % 1.02/1.26 (step @p3201 :rule cong :premises (@p3200 @p3189) :args (@t546)) % 1.02/1.26 (step @p3202 :rule cong :premises (@p3201) :args (@t547)) % 1.02/1.26 (step @p3203 :rule trans :premises (@p3202 @p3188)) % 1.02/1.26 (step @p3204 :rule refl :args (tptp.disjointsetsI1)) % 1.02/1.26 (step @p3205 :rule cong :premises (@p3204 @p3203) :args (@t548)) % 1.02/1.26 (step @p3206 :rule eq_resolve :premises (@p113 @p3205)) % 1.02/1.26 (step @p3207 :rule cong :premises (@p3206 @p3181) :args (@t2505)) % 1.02/1.26 (step @p3208 :rule refl :args ((tptp.in @t4 @t515))) % 1.02/1.26 (step @p3209 :rule cong :premises (@p1096 @p3086) :args (@t1378)) % 1.02/1.26 (step @p3210 :rule trans :premises (@p3209 @p3208)) % 1.02/1.26 (step @p3211 :rule ho_cong :premises (@p2201 @p3086)) % 1.02/1.26 (step @p3212 :rule cong :premises (@p3211 @p3210) :args ((= (_ @t5 @t1362) @t1378))) % 1.02/1.26 (step @p3213 :rule symm :premises (@p3212)) % 1.02/1.26 (step @p3214 :rule refl :args (@t516)) % 1.02/1.26 (step @p3215 :rule eq_resolve :premises (@p3214 @p3213)) % 1.02/1.26 (step @p3216 :rule ho_cong :premises (@p2201 @p3103)) % 1.02/1.26 (step @p3217 :rule trans :premises (@p3216 @p3215)) % 1.02/1.26 (step @p3218 :rule cong :premises (@p3217) :args (@t2506)) % 1.02/1.26 (step @p3219 :rule nary_cong :premises (@p3218 @p2780) :args (@t2507)) % 1.02/1.26 (step @p3220 :rule cong :premises (@p3219) :args ((forall @t245 @t2507))) % 1.02/1.26 (step @p3221 :rule bool-impl-elim :args (@t516 @t6)) % 1.02/1.26 (step @p3222 :rule cong :premises (@p3221) :args (@t541)) % 1.02/1.26 (step @p3223 :rule trans :premises (@p3222 @p3220)) % 1.02/1.26 (step @p3224 :rule refl :args (tptp.binintersectER)) % 1.02/1.26 (step @p3225 :rule cong :premises (@p3224 @p3223) :args (@t542)) % 1.02/1.26 (step @p3226 :rule eq_resolve :premises (@p112 @p3225)) % 1.02/1.26 (step @p3227 :rule cong :premises (@p3226 @p3207) :args (@t2508)) % 1.02/1.26 (step @p3228 :rule cong :premises (@p3144) :args (@t2509)) % 1.02/1.26 (step @p3229 :rule nary_cong :premises (@p3228 @p3149) :args (@t2510)) % 1.02/1.26 (step @p3230 :rule cong :premises (@p3229) :args ((forall @t12 @t2510))) % 1.02/1.26 (step @p3231 :rule bool-impl-elim :args (@t2494 @t425)) % 1.02/1.26 (step @p3232 :rule cong :premises (@p3231) :args ((forall @t12 (=> @t2494 @t425)))) % 1.02/1.26 (step @p3233 :rule trans :premises (@p3232 @p3230)) % 1.02/1.26 (step @p3234 :rule cong :premises (@p3156 @p3157) :args (@t538)) % 1.02/1.26 (step @p3235 :rule cong :premises (@p3234) :args (@t539)) % 1.02/1.26 (step @p3236 :rule trans :premises (@p3235 @p3233)) % 1.02/1.26 (step @p3237 :rule refl :args (tptp.binintersectSubset3)) % 1.02/1.26 (step @p3238 :rule cong :premises (@p3237 @p3236) :args (@t540)) % 1.02/1.26 (step @p3239 :rule eq_resolve :premises (@p111 @p3238)) % 1.02/1.26 (step @p3240 :rule cong :premises (@p3239 @p3227) :args (@t2511)) % 1.02/1.26 (step @p3241 :rule nary_cong :premises (@p3037 @p3129) :args (@t2512)) % 1.02/1.26 (step @p3242 :rule cong :premises (@p3241) :args ((forall @t12 @t2512))) % 1.02/1.26 (step @p3243 :rule bool-impl-elim :args (@t420 @t2490)) % 1.02/1.26 (step @p3244 :rule cong :premises (@p3243) :args ((forall @t12 (=> @t420 @t2490)))) % 1.02/1.26 (step @p3245 :rule trans :premises (@p3244 @p3242)) % 1.02/1.26 (step @p3246 :rule cong :premises (@p2942 @p3136) :args (@t534)) % 1.02/1.26 (step @p3247 :rule cong :premises (@p3246) :args (@t535)) % 1.02/1.26 (step @p3248 :rule trans :premises (@p3247 @p3245)) % 1.02/1.26 (step @p3249 :rule refl :args (tptp.binintersectSubset2)) % 1.02/1.26 (step @p3250 :rule cong :premises (@p3249 @p3248) :args (@t536)) % 1.02/1.26 (step @p3251 :rule eq_resolve :premises (@p110 @p3250)) % 1.02/1.26 (step @p3252 :rule cong :premises (@p3251 @p3240) :args (@t2513)) % 1.02/1.26 (step @p3253 :rule refl :args ((tptp.subset @t515 @t2))) % 1.02/1.26 (step @p3254 :rule cong :premises (@p3086 @p1287) :args (@t1383)) % 1.02/1.26 (step @p3255 :rule trans :premises (@p3254 @p3253)) % 1.02/1.26 (step @p3256 :rule ho_cong :premises (@p3168 @p1287)) % 1.02/1.26 (step @p3257 :rule cong :premises (@p3256 @p3255) :args ((= (_ @t2498 @t2) @t1383))) % 1.02/1.26 (step @p3258 :rule symm :premises (@p3257)) % 1.02/1.26 (step @p3259 :rule refl :args (@t530)) % 1.02/1.26 (step @p3260 :rule eq_resolve :premises (@p3259 @p3258)) % 1.02/1.26 (step @p3261 :rule ho_cong :premises (@p3174 @p1287)) % 1.02/1.26 (step @p3262 :rule trans :premises (@p3261 @p3260)) % 1.02/1.26 (step @p3263 :rule cong :premises (@p3262) :args (@t531)) % 1.02/1.26 (step @p3264 :rule refl :args (tptp.binintersectLsub)) % 1.02/1.26 (step @p3265 :rule cong :premises (@p3264 @p3263) :args (@t532)) % 1.02/1.26 (step @p3266 :rule eq_resolve :premises (@p109 @p3265)) % 1.02/1.26 (step @p3267 :rule cong :premises (@p3266 @p3252) :args (@t2514)) % 1.02/1.26 (step @p3268 :rule nary_cong :premises (@p3218 @p648) :args (@t2515)) % 1.02/1.26 (step @p3269 :rule cong :premises (@p3268) :args ((forall @t245 @t2515))) % 1.02/1.26 (step @p3270 :rule bool-impl-elim :args (@t516 @t7)) % 1.02/1.26 (step @p3271 :rule cong :premises (@p3270) :args (@t527)) % 1.02/1.26 (step @p3272 :rule trans :premises (@p3271 @p3269)) % 1.02/1.26 (step @p3273 :rule refl :args (tptp.binintersectEL)) % 1.02/1.26 (step @p3274 :rule cong :premises (@p3273 @p3272) :args (@t528)) % 1.02/1.26 (step @p3275 :rule eq_resolve :premises (@p108 @p3274)) % 1.02/1.26 (step @p3276 :rule cong :premises (@p3275 @p3267) :args (@t2516)) % 1.02/1.26 (step @p3277 :rule refl :args ((tptp.subset @t104 @t515))) % 1.02/1.26 (step @p3278 :rule refl :args (@t104)) % 1.02/1.26 (step @p3279 :rule cong :premises (@p3278 @p3086) :args (@t1386)) % 1.02/1.26 (step @p3280 :rule trans :premises (@p3279 @p3277)) % 1.02/1.26 (step @p3281 :rule refl :args (@t520)) % 1.02/1.26 (step @p3282 :rule ho_cong :premises (@p3281 @p3086)) % 1.02/1.26 (step @p3283 :rule cong :premises (@p3282 @p3280) :args ((= (_ @t520 @t1362) @t1386))) % 1.02/1.26 (step @p3284 :rule symm :premises (@p3283)) % 1.02/1.26 (step @p3285 :rule refl :args (@t521)) % 1.02/1.26 (step @p3286 :rule eq_resolve :premises (@p3285 @p3284)) % 1.02/1.26 (step @p3287 :rule ho_cong :premises (@p3281 @p3103)) % 1.02/1.26 (step @p3288 :rule trans :premises (@p3287 @p3286)) % 1.02/1.26 (step @p3289 :rule refl :args (@t1387)) % 1.02/1.26 (step @p3290 :rule refl :args (@t522)) % 1.02/1.26 (step @p3291 :rule cong :premises (@p3290 @p3289) :args ((= @t522 @t1387))) % 1.02/1.26 (step @p3292 :rule symm :premises (@p3291)) % 1.02/1.26 (step @p3293 :rule eq_resolve :premises (@p3290 @p3292)) % 1.02/1.26 (step @p3294 :rule cong :premises (@p3293) :args (@t2517)) % 1.02/1.26 (step @p3295 :rule refl :args (@t1388)) % 1.02/1.26 (step @p3296 :rule refl :args (@t524)) % 1.02/1.26 (step @p3297 :rule cong :premises (@p3296 @p3295) :args ((= @t524 @t1388))) % 1.02/1.26 (step @p3298 :rule symm :premises (@p3297)) % 1.02/1.26 (step @p3299 :rule eq_resolve :premises (@p3296 @p3298)) % 1.02/1.26 (step @p3300 :rule cong :premises (@p3299) :args (@t2518)) % 1.02/1.26 (step @p3301 :rule nary_cong :premises (@p3300 @p3294 @p3288) :args (@t2519)) % 1.02/1.26 (step @p3302 :rule cong :premises (@p3301) :args ((forall @t455 @t2519))) % 1.02/1.26 (step @p3303 :rule aci_norm :args ((= (or @t2518 (or @t2517 @t521)) @t2519))) % 1.02/1.26 (step @p3304 :rule bool-impl-elim :args (@t522 @t521)) % 1.02/1.26 (step @p3305 :rule refl :args (@t2518)) % 1.02/1.26 (step @p3306 :rule nary_cong :premises (@p3305 @p3304) :args ((or @t2518 @t523))) % 1.02/1.26 (step @p3307 :rule trans :premises (@p3306 @p3303)) % 1.02/1.26 (step @p3308 :rule bool-impl-elim :args (@t524 @t523)) % 1.02/1.26 (step @p3309 :rule trans :premises (@p3308 @p3307)) % 1.02/1.26 (step @p3310 :rule cong :premises (@p3309) :args (@t525)) % 1.02/1.26 (step @p3311 :rule trans :premises (@p3310 @p3302)) % 1.02/1.26 (step @p3312 :rule refl :args (tptp.binintersectSubset5)) % 1.02/1.26 (step @p3313 :rule cong :premises (@p3312 @p3311) :args (@t526)) % 1.02/1.26 (step @p3314 :rule eq_resolve :premises (@p107 @p3313)) % 1.02/1.26 (step @p3315 :rule cong :premises (@p3314 @p3276) :args (@t2520)) % 1.02/1.26 (step @p3316 :rule nary_cong :premises (@p649 @p2803 @p3217) :args (@t2521)) % 1.02/1.26 (step @p3317 :rule cong :premises (@p3316) :args ((forall @t245 @t2521))) % 1.02/1.26 (step @p3318 :rule aci_norm :args ((= (or @t197 (or @t435 @t516)) @t2521))) % 1.02/1.26 (step @p3319 :rule bool-impl-elim :args (@t6 @t516)) % 1.02/1.26 (step @p3320 :rule nary_cong :premises (@p806 @p3319) :args ((or @t197 @t517))) % 1.02/1.26 (step @p3321 :rule trans :premises (@p3320 @p3318)) % 1.02/1.26 (step @p3322 :rule bool-impl-elim :args (@t7 @t517)) % 1.02/1.26 (step @p3323 :rule trans :premises (@p3322 @p3321)) % 1.02/1.26 (step @p3324 :rule cong :premises (@p3323) :args (@t518)) % 1.02/1.26 (step @p3325 :rule trans :premises (@p3324 @p3317)) % 1.02/1.26 (step @p3326 :rule refl :args (tptp.binintersectI)) % 1.02/1.26 (step @p3327 :rule cong :premises (@p3326 @p3325) :args (@t519)) % 1.02/1.26 (step @p3328 :rule eq_resolve :premises (@p106 @p3327)) % 1.02/1.26 (step @p3329 :rule cong :premises (@p3328 @p3315) :args (@t2522)) % 1.02/1.26 (step @p3330 :rule refl :args ((tptp.subset @t1 @t492))) % 1.02/1.26 (step @p3331 :rule cong :premises (@p1165 @p2355) :args (@t1391)) % 1.02/1.26 (step @p3332 :rule trans :premises (@p3331 @p3330)) % 1.02/1.26 (step @p3333 :rule refl :args (@t424)) % 1.02/1.26 (step @p3334 :rule ho_cong :premises (@p3333 @p2355)) % 1.02/1.26 (step @p3335 :rule cong :premises (@p3334 @p3332) :args ((= (_ @t424 @t1278) @t1391))) % 1.02/1.26 (step @p3336 :rule symm :premises (@p3335)) % 1.02/1.26 (step @p3337 :rule refl :args (@t511)) % 1.02/1.26 (step @p3338 :rule eq_resolve :premises (@p3337 @p3336)) % 1.02/1.26 (step @p3339 :rule ho_cong :premises (@p3333 @p2381)) % 1.02/1.26 (step @p3340 :rule trans :premises (@p3339 @p3338)) % 1.02/1.26 (step @p3341 :rule cong :premises (@p3340) :args (@t512)) % 1.02/1.26 (step @p3342 :rule refl :args (tptp.binunionRsub)) % 1.02/1.26 (step @p3343 :rule cong :premises (@p3342 @p3341) :args (@t513)) % 1.02/1.26 (step @p3344 :rule eq_resolve :premises (@p105 @p3343)) % 1.02/1.26 (step @p3345 :rule cong :premises (@p3344 @p3329) :args (@t2523)) % 1.02/1.26 (step @p3346 :rule refl :args ((tptp.subset @t2 @t492))) % 1.02/1.26 (step @p3347 :rule cong :premises (@p1287 @p2355) :args (@t1393)) % 1.02/1.26 (step @p3348 :rule trans :premises (@p3347 @p3346)) % 1.02/1.26 (step @p3349 :rule ho_cong :premises (@p2155 @p2355)) % 1.02/1.26 (step @p3350 :rule cong :premises (@p3349 @p3348) :args ((= (_ @t419 @t1278) @t1393))) % 1.02/1.26 (step @p3351 :rule symm :premises (@p3350)) % 1.02/1.26 (step @p3352 :rule refl :args (@t508)) % 1.02/1.26 (step @p3353 :rule eq_resolve :premises (@p3352 @p3351)) % 1.02/1.26 (step @p3354 :rule ho_cong :premises (@p2155 @p2381)) % 1.02/1.26 (step @p3355 :rule trans :premises (@p3354 @p3353)) % 1.02/1.26 (step @p3356 :rule cong :premises (@p3355) :args (@t509)) % 1.02/1.26 (step @p3357 :rule refl :args (tptp.binunionLsub)) % 1.02/1.26 (step @p3358 :rule cong :premises (@p3357 @p3356) :args (@t510)) % 1.02/1.26 (step @p3359 :rule eq_resolve :premises (@p104 @p3358)) % 1.02/1.26 (step @p3360 :rule cong :premises (@p3359 @p3345) :args (@t2524)) % 1.02/1.26 (step @p3361 :rule refl :args ((tptp.in @t4 @t492))) % 1.02/1.26 (step @p3362 :rule cong :premises (@p1096 @p2355) :args (@t1395)) % 1.02/1.26 (step @p3363 :rule trans :premises (@p3362 @p3361)) % 1.02/1.26 (step @p3364 :rule ho_cong :premises (@p2201 @p2355)) % 1.02/1.26 (step @p3365 :rule cong :premises (@p3364 @p3363) :args ((= (_ @t5 @t1278) @t1395))) % 1.02/1.26 (step @p3366 :rule symm :premises (@p3365)) % 1.02/1.26 (step @p3367 :rule refl :args (@t493)) % 1.02/1.26 (step @p3368 :rule eq_resolve :premises (@p3367 @p3366)) % 1.02/1.26 (step @p3369 :rule ho_cong :premises (@p2201 @p2381)) % 1.02/1.26 (step @p3370 :rule trans :premises (@p3369 @p3368)) % 1.02/1.26 (step @p3371 :rule cong :premises (@p3370) :args (@t2525)) % 1.02/1.26 (step @p3372 :rule nary_cong :premises (@p3371 @p648 @p2780) :args (@t2526)) % 1.02/1.26 (step @p3373 :rule cong :premises (@p3372) :args ((forall @t245 @t2526))) % 1.02/1.26 (step @p3374 :rule aci_norm :args ((= (or @t2525 @t505) @t2526))) % 1.02/1.26 (step @p3375 :rule bool-impl-elim :args (@t493 @t505)) % 1.02/1.26 (step @p3376 :rule trans :premises (@p3375 @p3374)) % 1.02/1.26 (step @p3377 :rule cong :premises (@p3376) :args (@t506)) % 1.02/1.26 (step @p3378 :rule trans :premises (@p3377 @p3373)) % 1.02/1.26 (step @p3379 :rule refl :args (tptp.binunionE)) % 1.02/1.26 (step @p3380 :rule cong :premises (@p3379 @p3378) :args (@t507)) % 1.02/1.26 (step @p3381 :rule eq_resolve :premises (@p103 @p3380)) % 1.02/1.26 (step @p3382 :rule cong :premises (@p3381 @p3360) :args (@t2527)) % 1.02/1.26 (step @p3383 :rule aci_norm :args ((= (and @t1335 true) @t1335))) % 1.02/1.26 (step @p3384 :rule nary_cong :premises (@p2862 @p2861) :args (@t2528)) % 1.02/1.26 (step @p3385 :rule trans :premises (@p3384 @p3383)) % 1.02/1.26 (step @p3386 :rule aci_norm :args ((= (and @t1067 true) @t1067))) % 1.02/1.26 (step @p3387 :rule nary_cong :premises (@p2867 @p2861) :args (@t2529)) % 1.02/1.26 (step @p3388 :rule trans :premises (@p3387 @p3386)) % 1.02/1.26 (step @p3389 :rule refl :args (@t1396)) % 1.02/1.26 (step @p3390 :rule nary_cong :premises (@p3389 @p3388 @p3385) :args (@t2530)) % 1.02/1.26 (step @p3391 :rule aci_norm :args ((= @t2531 @t2530))) % 1.02/1.26 (step @p3392 :rule trans :premises (@p3391 @p3390)) % 1.02/1.26 (step @p3393 :rule cong :premises (@p3392) :args ((forall @t245 @t2531))) % 1.02/1.26 (step @p3394 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2456 @t1396 @t2533 @t2532 @t173)) @t2531))) % 1.02/1.26 (step @p3395 :rule refl :args (@t2532)) % 1.02/1.26 (step @p3396 :rule refl :args (@t2533)) % 1.02/1.26 (step @p3397 :rule refl :args (@t1396)) % 1.02/1.26 (step @p3398 :rule nary_cong :premises (@p2882 @p3397 @p3396 @p3395 @p2874) :args (@t2534)) % 1.02/1.26 (step @p3399 :rule aci_norm :args ((= @t2535 @t2534))) % 1.02/1.26 (step @p3400 :rule trans :premises (@p3399 @p3398)) % 1.02/1.26 (step @p3401 :rule cong :premises (@p3400) :args (@t2536)) % 1.02/1.26 (step @p3402 :rule trans :premises (@p3401 @p3394)) % 1.02/1.26 (step @p3403 :rule cong :premises (@p3402) :args (@t2537)) % 1.02/1.26 (step @p3404 :rule quant-merge-prenex :args ((= @t2537 (forall @t502 @t2535)))) % 1.02/1.26 (step @p3405 :rule symm :premises (@p3404)) % 1.02/1.26 (step @p3406 :rule trans :premises (@p3405 @p3403)) % 1.02/1.26 (step @p3407 :rule trans :premises (@p3406 @p3393)) % 1.02/1.26 (step @p3408 :rule nary_cong :premises (@p2780 @p2889) :args (@t2462)) % 1.02/1.26 (step @p3409 :rule nary_cong :premises (@p648 @p2889) :args (@t2538)) % 1.02/1.26 (step @p3410 :rule nary_cong :premises (@p3371 @p3409 @p3408 @p2874) :args (@t2539)) % 1.02/1.26 (step @p3411 :rule cong :premises (@p3410) :args ((forall @t502 @t2539))) % 1.02/1.26 (step @p3412 :rule trans :premises (@p3411 @p3407)) % 1.02/1.26 (step @p3413 :rule aci_norm :args ((= (or @t2525 @t2540) @t2539))) % 1.02/1.26 (step @p3414 :rule aci_norm :args ((= (or @t2538 (or @t2462 @t173)) @t2540))) % 1.02/1.26 (step @p3415 :rule nary_cong :premises (@p2897 @p2874) :args ((or @t2463 @t173))) % 1.02/1.26 (step @p3416 :rule bool-impl-elim :args (@t498 @t173)) % 1.02/1.26 (step @p3417 :rule trans :premises (@p3416 @p3415)) % 1.02/1.26 (step @p3418 :rule bool-implies-de-morgan :args (@t7 @t173)) % 1.02/1.26 (step @p3419 :rule nary_cong :premises (@p3418 @p3417) :args ((or (not @t500) @t499))) % 1.02/1.26 (step @p3420 :rule trans :premises (@p3419 @p3414)) % 1.02/1.26 (step @p3421 :rule bool-impl-elim :args (@t500 @t499)) % 1.02/1.26 (step @p3422 :rule trans :premises (@p3421 @p3420)) % 1.02/1.26 (step @p3423 :rule refl :args (@t2525)) % 1.02/1.26 (step @p3424 :rule nary_cong :premises (@p3423 @p3422) :args ((or @t2525 @t501))) % 1.02/1.26 (step @p3425 :rule trans :premises (@p3424 @p3413)) % 1.02/1.26 (step @p3426 :rule bool-impl-elim :args (@t493 @t501)) % 1.02/1.26 (step @p3427 :rule trans :premises (@p3426 @p3425)) % 1.02/1.26 (step @p3428 :rule cong :premises (@p3427) :args (@t503)) % 1.02/1.26 (step @p3429 :rule trans :premises (@p3428 @p3412)) % 1.02/1.26 (step @p3430 :rule refl :args (tptp.binunionEcases)) % 1.02/1.26 (step @p3431 :rule cong :premises (@p3430 @p3429) :args (@t504)) % 1.02/1.26 (step @p3432 :rule eq_resolve :premises (@p102 @p3431)) % 1.02/1.26 (step @p3433 :rule cong :premises (@p3432 @p3382) :args (@t2541)) % 1.02/1.26 (step @p3434 :rule nary_cong :premises (@p2803 @p3370) :args (@t2542)) % 1.02/1.26 (step @p3435 :rule cong :premises (@p3434) :args ((forall @t245 @t2542))) % 1.02/1.26 (step @p3436 :rule bool-impl-elim :args (@t6 @t493)) % 1.02/1.26 (step @p3437 :rule cong :premises (@p3436) :args (@t496)) % 1.02/1.26 (step @p3438 :rule trans :premises (@p3437 @p3435)) % 1.02/1.26 (step @p3439 :rule refl :args (tptp.binunionIR)) % 1.02/1.26 (step @p3440 :rule cong :premises (@p3439 @p3438) :args (@t497)) % 1.02/1.26 (step @p3441 :rule eq_resolve :premises (@p101 @p3440)) % 1.02/1.26 (step @p3442 :rule cong :premises (@p3441 @p3433) :args (@t2543)) % 1.02/1.26 (step @p3443 :rule eq-symm :args (@t1331 tptp.upairset2IR)) % 1.02/1.26 (step @p3444 :rule refl :args (tptp.upairset2IR)) % 1.02/1.26 (step @p3445 :rule cong :premises (@p2753 @p3444) :args ((= @t302 tptp.upairset2IR))) % 1.02/1.26 (step @p3446 :rule trans :premises (@p3445 @p3443)) % 1.02/1.26 (step @p3447 :rule eq-symm :args (tptp.upairset2IR @t302)) % 1.02/1.26 (step @p3448 :rule trans :premises (@p3447 @p3446)) % 1.02/1.26 (step @p3449 :rule eq_resolve :premises (@p100 @p3448)) % 1.02/1.26 (step @p3450 :rule cong :premises (@p3449 @p3442) :args (@t2544)) % 1.02/1.26 (step @p3451 :rule nary_cong :premises (@p649 @p3370) :args (@t2545)) % 1.02/1.26 (step @p3452 :rule cong :premises (@p3451) :args ((forall @t245 @t2545))) % 1.02/1.26 (step @p3453 :rule bool-impl-elim :args (@t7 @t493)) % 1.02/1.26 (step @p3454 :rule cong :premises (@p3453) :args (@t494)) % 1.02/1.26 (step @p3455 :rule trans :premises (@p3454 @p3452)) % 1.02/1.26 (step @p3456 :rule refl :args (tptp.binunionIL)) % 1.02/1.26 (step @p3457 :rule cong :premises (@p3456 @p3455) :args (@t495)) % 1.02/1.26 (step @p3458 :rule eq_resolve :premises (@p99 @p3457)) % 1.02/1.26 (step @p3459 :rule cong :premises (@p3458 @p3450) :args (@t2546)) % 1.02/1.26 (step @p3460 :rule lambda-elim :args ((= @t2547 @t143))) % 1.02/1.26 (step @p3461 :rule cong :premises (@p789 @p3460) :args (@t2548)) % 1.02/1.26 (step @p3462 :rule cong :premises (@p3461 @p789) :args (@t2549)) % 1.02/1.26 (step @p3463 :rule cong :premises (@p3462) :args ((forall @t309 @t2549))) % 1.02/1.26 (step @p3464 :rule refl :args ((tptp.subset @t304 @t2))) % 1.02/1.26 (step @p3465 :rule refl :args (@t2203)) % 1.02/1.26 (step @p3466 :rule cong :premises (@p1842) :args (@t2547)) % 1.02/1.26 (step @p3467 :rule cong :premises (@p1287 @p3466) :args (@t2548)) % 1.02/1.26 (step @p3468 :rule trans :premises (@p3467 @p3465)) % 1.02/1.26 (step @p3469 :rule cong :premises (@p3468 @p1287) :args (@t2549)) % 1.02/1.26 (step @p3470 :rule trans :premises (@p3469 @p3464)) % 1.02/1.26 (step @p3471 :rule ho_cong :premises (@p854 @p3468)) % 1.02/1.26 (step @p3472 :rule ho_cong :premises (@p3471 @p1287)) % 1.02/1.26 (step @p3473 :rule cong :premises (@p3472 @p3470) :args ((= (_ (_ tptp.subset @t2548) @t2) @t2549))) % 1.02/1.26 (step @p3474 :rule symm :premises (@p3473)) % 1.02/1.26 (step @p3475 :rule refl :args (@t489)) % 1.02/1.26 (step @p3476 :rule eq_resolve :premises (@p3475 @p3474)) % 1.02/1.26 (step @p3477 :rule ho_cong :premises (@p1935 @p3466)) % 1.02/1.26 (step @p3478 :rule cong :premises (@p3477 @p3468) :args ((= (_ @t155 @t2547) @t2548))) % 1.02/1.26 (step @p3479 :rule symm :premises (@p3478)) % 1.02/1.26 (step @p3480 :rule refl :args (@t304)) % 1.02/1.26 (step @p3481 :rule eq_resolve :premises (@p3480 @p3479)) % 1.02/1.26 (step @p3482 :rule cong :premises (@p1846) :args (@t145)) % 1.02/1.26 (step @p3483 :rule ho_cong :premises (@p1935 @p3482)) % 1.02/1.26 (step @p3484 :rule trans :premises (@p3483 @p3481)) % 1.02/1.26 (step @p3485 :rule ho_cong :premises (@p854 @p3484)) % 1.02/1.26 (step @p3486 :rule ho_cong :premises (@p3485 @p1287)) % 1.02/1.26 (step @p3487 :rule trans :premises (@p3486 @p3476)) % 1.02/1.26 (step @p3488 :rule cong :premises (@p3487) :args (@t490)) % 1.02/1.26 (step @p3489 :rule trans :premises (@p3488 @p3463)) % 1.02/1.26 (step @p3490 :rule refl :args (tptp.sepSubset)) % 1.02/1.26 (step @p3491 :rule cong :premises (@p3490 @p3489) :args (@t491)) % 1.02/1.26 (step @p3492 :rule eq_resolve :premises (@p98 @p3491)) % 1.02/1.26 (step @p3493 :rule cong :premises (@p3492 @p3459) :args (@t2550)) % 1.02/1.26 (step @p3494 :rule refl :args (@t1316)) % 1.02/1.26 (step @p3495 :rule cong :premises (@p3461 @p3494) :args (@t2551)) % 1.02/1.26 (step @p3496 :rule cong :premises (@p3495) :args ((forall @t309 @t2551))) % 1.02/1.26 (step @p3497 :rule refl :args ((tptp.in @t304 @t33))) % 1.02/1.26 (step @p3498 :rule cong :premises (@p3468 @p2625) :args (@t2551)) % 1.02/1.26 (step @p3499 :rule trans :premises (@p3498 @p3497)) % 1.02/1.26 (step @p3500 :rule ho_cong :premises (@p697 @p3468)) % 1.02/1.26 (step @p3501 :rule ho_cong :premises (@p3500 @p2625)) % 1.02/1.26 (step @p3502 :rule cong :premises (@p3501 @p3499) :args ((= (_ (_ tptp.in @t2548) @t1316) @t2551))) % 1.02/1.26 (step @p3503 :rule symm :premises (@p3502)) % 1.02/1.26 (step @p3504 :rule refl :args (@t486)) % 1.02/1.26 (step @p3505 :rule eq_resolve :premises (@p3504 @p3503)) % 1.02/1.26 (step @p3506 :rule ho_cong :premises (@p697 @p3484)) % 1.02/1.26 (step @p3507 :rule ho_cong :premises (@p3506 @p2636)) % 1.02/1.26 (step @p3508 :rule trans :premises (@p3507 @p3505)) % 1.02/1.26 (step @p3509 :rule cong :premises (@p3508) :args (@t487)) % 1.02/1.26 (step @p3510 :rule trans :premises (@p3509 @p3496)) % 1.02/1.26 (step @p3511 :rule refl :args (tptp.sepInPowerset)) % 1.02/1.26 (step @p3512 :rule cong :premises (@p3511 @p3510) :args (@t488)) % 1.02/1.26 (step @p3513 :rule eq_resolve :premises (@p97 @p3512)) % 1.02/1.26 (step @p3514 :rule cong :premises (@p3513 @p3493) :args (@t2552)) % 1.02/1.26 (step @p3515 :rule refl :args ((tptp.subset @t33 @t391))) % 1.02/1.26 (step @p3516 :rule refl :args (@t1402)) % 1.02/1.26 (step @p3517 :rule cong :premises (@p2625 @p3516) :args (@t1403)) % 1.02/1.26 (step @p3518 :rule trans :premises (@p3517 @p3515)) % 1.02/1.26 (step @p3519 :rule ho_cong :premises (@p854 @p2625)) % 1.02/1.26 (step @p3520 :rule ho_cong :premises (@p3519 @p3516)) % 1.02/1.26 (step @p3521 :rule cong :premises (@p3520 @p3518) :args ((= (_ (_ tptp.subset @t1316) @t1402) @t1403))) % 1.02/1.26 (step @p3522 :rule symm :premises (@p3521)) % 1.02/1.26 (step @p3523 :rule refl :args (@t483)) % 1.02/1.26 (step @p3524 :rule eq_resolve :premises (@p3523 @p3522)) % 1.02/1.26 (step @p3525 :rule refl :args (@t391)) % 1.02/1.26 (step @p3526 :rule cong :premises (@p3525 @p3516) :args ((= @t391 @t1402))) % 1.02/1.26 (step @p3527 :rule symm :premises (@p3526)) % 1.02/1.26 (step @p3528 :rule eq_resolve :premises (@p3525 @p3527)) % 1.02/1.26 (step @p3529 :rule ho_cong :premises (@p854 @p2636)) % 1.02/1.26 (step @p3530 :rule ho_cong :premises (@p3529 @p3528)) % 1.02/1.26 (step @p3531 :rule trans :premises (@p3530 @p3524)) % 1.02/1.26 (step @p3532 :rule nary_cong :premises (@p3037 @p3531) :args (@t2553)) % 1.02/1.26 (step @p3533 :rule cong :premises (@p3532) :args ((forall @t12 @t2553))) % 1.02/1.26 (step @p3534 :rule bool-impl-elim :args (@t420 @t483)) % 1.02/1.26 (step @p3535 :rule cong :premises (@p3534) :args (@t484)) % 1.02/1.26 (step @p3536 :rule trans :premises (@p3535 @p3533)) % 1.02/1.26 (step @p3537 :rule refl :args (tptp.powersetsubset)) % 1.02/1.26 (step @p3538 :rule cong :premises (@p3537 @p3536) :args (@t485)) % 1.02/1.26 (step @p3539 :rule eq_resolve :premises (@p96 @p3538)) % 1.02/1.26 (step @p3540 :rule cong :premises (@p3539 @p3514) :args (@t2554)) % 1.02/1.26 (step @p3541 :rule refl :args ((tptp.in @t2 @t33))) % 1.02/1.26 (step @p3542 :rule cong :premises (@p1287 @p2625) :args (@t1405)) % 1.02/1.26 (step @p3543 :rule trans :premises (@p3542 @p3541)) % 1.02/1.26 (step @p3544 :rule refl :args (@t466)) % 1.02/1.26 (step @p3545 :rule ho_cong :premises (@p3544 @p2625)) % 1.02/1.26 (step @p3546 :rule cong :premises (@p3545 @p3543) :args ((= (_ @t466 @t1316) @t1405))) % 1.02/1.26 (step @p3547 :rule symm :premises (@p3546)) % 1.02/1.26 (step @p3548 :rule refl :args (@t480)) % 1.02/1.26 (step @p3549 :rule eq_resolve :premises (@p3548 @p3547)) % 1.02/1.26 (step @p3550 :rule ho_cong :premises (@p3544 @p2636)) % 1.02/1.26 (step @p3551 :rule trans :premises (@p3550 @p3549)) % 1.02/1.26 (step @p3552 :rule cong :premises (@p3551) :args (@t481)) % 1.02/1.26 (step @p3553 :rule refl :args (tptp.inPowerset)) % 1.02/1.26 (step @p3554 :rule cong :premises (@p3553 @p3552) :args (@t482)) % 1.02/1.26 (step @p3555 :rule eq_resolve :premises (@p95 @p3554)) % 1.02/1.26 (step @p3556 :rule cong :premises (@p3555 @p3540) :args (@t2555)) % 1.02/1.26 (step @p3557 :rule refl :args ((tptp.in @t1 @t33))) % 1.02/1.26 (step @p3558 :rule cong :premises (@p1165 @p2625) :args (@t1407)) % 1.02/1.26 (step @p3559 :rule trans :premises (@p3558 @p3557)) % 1.02/1.26 (step @p3560 :rule refl :args (@t34)) % 1.02/1.26 (step @p3561 :rule ho_cong :premises (@p3560 @p2625)) % 1.02/1.26 (step @p3562 :rule cong :premises (@p3561 @p3559) :args ((= (_ @t34 @t1316) @t1407))) % 1.02/1.26 (step @p3563 :rule symm :premises (@p3562)) % 1.02/1.26 (step @p3564 :rule refl :args (@t35)) % 1.02/1.26 (step @p3565 :rule eq_resolve :premises (@p3564 @p3563)) % 1.02/1.26 (step @p3566 :rule ho_cong :premises (@p3560 @p2636)) % 1.02/1.26 (step @p3567 :rule trans :premises (@p3566 @p3565)) % 1.02/1.26 (step @p3568 :rule cong :premises (@p3567) :args (@t2556)) % 1.02/1.26 (step @p3569 :rule nary_cong :premises (@p3568 @p3149) :args (@t2557)) % 1.02/1.26 (step @p3570 :rule cong :premises (@p3569) :args ((forall @t12 @t2557))) % 1.02/1.26 (step @p3571 :rule bool-impl-elim :args (@t35 @t425)) % 1.02/1.26 (step @p3572 :rule cong :premises (@p3571) :args (@t478)) % 1.02/1.26 (step @p3573 :rule trans :premises (@p3572 @p3570)) % 1.02/1.26 (step @p3574 :rule refl :args (tptp.powersetE1)) % 1.02/1.26 (step @p3575 :rule cong :premises (@p3574 @p3573) :args (@t479)) % 1.02/1.26 (step @p3576 :rule eq_resolve :premises (@p94 @p3575)) % 1.02/1.26 (step @p3577 :rule cong :premises (@p3576 @p3556) :args (@t2558)) % 1.02/1.26 (step @p3578 :rule nary_cong :premises (@p3150 @p3567) :args (@t2559)) % 1.02/1.26 (step @p3579 :rule cong :premises (@p3578) :args ((forall @t12 @t2559))) % 1.02/1.26 (step @p3580 :rule bool-impl-elim :args (@t425 @t35)) % 1.02/1.26 (step @p3581 :rule cong :premises (@p3580) :args (@t476)) % 1.02/1.26 (step @p3582 :rule trans :premises (@p3581 @p3579)) % 1.02/1.26 (step @p3583 :rule refl :args (tptp.powersetI1)) % 1.02/1.26 (step @p3584 :rule cong :premises (@p3583 @p3582) :args (@t477)) % 1.02/1.26 (step @p3585 :rule eq_resolve :premises (@p93 @p3584)) % 1.02/1.26 (step @p3586 :rule cong :premises (@p3585 @p3577) :args (@t2560)) % 1.02/1.26 (step @p3587 :rule refl :args (@t196)) % 1.02/1.26 (step @p3588 :rule refl :args (@t1411)) % 1.02/1.26 (step @p3589 :rule refl :args (@t473)) % 1.02/1.26 (step @p3590 :rule cong :premises (@p3589 @p3588) :args ((= @t473 @t1411))) % 1.02/1.26 (step @p3591 :rule symm :premises (@p3590)) % 1.02/1.26 (step @p3592 :rule eq_resolve :premises (@p3589 @p3591)) % 1.02/1.26 (step @p3593 :rule cong :premises (@p3592) :args (@t2561)) % 1.02/1.26 (step @p3594 :rule nary_cong :premises (@p3593 @p3587) :args (@t2562)) % 1.02/1.26 (step @p3595 :rule cong :premises (@p3594) :args ((forall @t64 @t2562))) % 1.02/1.26 (step @p3596 :rule bool-impl-elim :args (@t473 @t196)) % 1.02/1.26 (step @p3597 :rule cong :premises (@p3596) :args (@t474)) % 1.02/1.26 (step @p3598 :rule trans :premises (@p3597 @p3595)) % 1.02/1.26 (step @p3599 :rule refl :args (tptp.subsetemptysetimpeq)) % 1.02/1.26 (step @p3600 :rule cong :premises (@p3599 @p3598) :args (@t475)) % 1.02/1.26 (step @p3601 :rule eq_resolve :premises (@p92 @p3600)) % 1.02/1.26 (step @p3602 :rule cong :premises (@p3601 @p3586) :args (@t2563)) % 1.02/1.26 (step @p3603 :rule refl :args (@t3)) % 1.02/1.26 (step @p3604 :rule nary_cong :premises (@p3037 @p3150 @p3603) :args (@t2564)) % 1.02/1.26 (step @p3605 :rule cong :premises (@p3604) :args ((forall @t12 @t2564))) % 1.02/1.26 (step @p3606 :rule aci_norm :args ((= (or @t439 (or @t2495 @t3)) @t2564))) % 1.02/1.26 (step @p3607 :rule bool-impl-elim :args (@t425 @t3)) % 1.02/1.26 (step @p3608 :rule refl :args (@t439)) % 1.02/1.26 (step @p3609 :rule nary_cong :premises (@p3608 @p3607) :args ((or @t439 @t470))) % 1.02/1.26 (step @p3610 :rule trans :premises (@p3609 @p3606)) % 1.02/1.26 (step @p3611 :rule bool-impl-elim :args (@t420 @t470)) % 1.02/1.26 (step @p3612 :rule trans :premises (@p3611 @p3610)) % 1.02/1.26 (step @p3613 :rule cong :premises (@p3612) :args (@t471)) % 1.02/1.26 (step @p3614 :rule trans :premises (@p3613 @p3605)) % 1.02/1.26 (step @p3615 :rule refl :args (tptp.setextsub)) % 1.02/1.26 (step @p3616 :rule cong :premises (@p3615 @p3614) :args (@t472)) % 1.02/1.26 (step @p3617 :rule eq_resolve :premises (@p91 @p3616)) % 1.02/1.26 (step @p3618 :rule cong :premises (@p3617 @p3602) :args (@t2565)) % 1.02/1.26 (step @p3619 :rule refl :args ((tptp.in @t2 @t391))) % 1.02/1.26 (step @p3620 :rule cong :premises (@p1287 @p3516) :args (@t1414)) % 1.02/1.26 (step @p3621 :rule trans :premises (@p3620 @p3619)) % 1.02/1.26 (step @p3622 :rule ho_cong :premises (@p3544 @p3516)) % 1.02/1.26 (step @p3623 :rule cong :premises (@p3622 @p3621) :args ((= (_ @t466 @t1402) @t1414))) % 1.02/1.26 (step @p3624 :rule symm :premises (@p3623)) % 1.02/1.26 (step @p3625 :rule refl :args (@t467)) % 1.02/1.26 (step @p3626 :rule eq_resolve :premises (@p3625 @p3624)) % 1.02/1.26 (step @p3627 :rule ho_cong :premises (@p3544 @p3528)) % 1.02/1.26 (step @p3628 :rule trans :premises (@p3627 @p3626)) % 1.02/1.26 (step @p3629 :rule nary_cong :premises (@p3037 @p3628) :args (@t2566)) % 1.02/1.26 (step @p3630 :rule cong :premises (@p3629) :args ((forall @t12 @t2566))) % 1.02/1.26 (step @p3631 :rule bool-impl-elim :args (@t420 @t467)) % 1.02/1.26 (step @p3632 :rule cong :premises (@p3631) :args (@t468)) % 1.02/1.26 (step @p3633 :rule trans :premises (@p3632 @p3630)) % 1.02/1.26 (step @p3634 :rule refl :args (tptp.subset2powerset)) % 1.02/1.26 (step @p3635 :rule cong :premises (@p3634 @p3633) :args (@t469)) % 1.02/1.26 (step @p3636 :rule eq_resolve :premises (@p90 @p3635)) % 1.02/1.26 (step @p3637 :rule cong :premises (@p3636 @p3618) :args (@t2567)) % 1.02/1.26 (step @p3638 :rule refl :args ((tptp.subset @t2 @t462))) % 1.02/1.26 (step @p3639 :rule refl :args (@t1416)) % 1.02/1.26 (step @p3640 :rule cong :premises (@p1287 @p3639) :args (@t1417)) % 1.02/1.26 (step @p3641 :rule trans :premises (@p3640 @p3638)) % 1.02/1.26 (step @p3642 :rule ho_cong :premises (@p2155 @p3639)) % 1.02/1.26 (step @p3643 :rule cong :premises (@p3642 @p3641) :args ((= (_ @t419 @t1416) @t1417))) % 1.02/1.26 (step @p3644 :rule symm :premises (@p3643)) % 1.02/1.26 (step @p3645 :rule refl :args (@t463)) % 1.02/1.26 (step @p3646 :rule eq_resolve :premises (@p3645 @p3644)) % 1.02/1.26 (step @p3647 :rule refl :args (@t462)) % 1.02/1.26 (step @p3648 :rule cong :premises (@p3647 @p3639) :args ((= @t462 @t1416))) % 1.02/1.26 (step @p3649 :rule symm :premises (@p3648)) % 1.02/1.26 (step @p3650 :rule eq_resolve :premises (@p3647 @p3649)) % 1.02/1.26 (step @p3651 :rule ho_cong :premises (@p2155 @p3650)) % 1.02/1.26 (step @p3652 :rule trans :premises (@p3651 @p3646)) % 1.02/1.26 (step @p3653 :rule nary_cong :premises (@p3037 @p3652) :args (@t2568)) % 1.02/1.26 (step @p3654 :rule cong :premises (@p3653) :args ((forall @t249 @t2568))) % 1.02/1.26 (step @p3655 :rule bool-impl-elim :args (@t420 @t463)) % 1.02/1.26 (step @p3656 :rule cong :premises (@p3655) :args (@t464)) % 1.02/1.26 (step @p3657 :rule trans :premises (@p3656 @p3654)) % 1.02/1.26 (step @p3658 :rule refl :args (tptp.setadjoinSub2)) % 1.02/1.26 (step @p3659 :rule cong :premises (@p3658 @p3657) :args (@t465)) % 1.02/1.26 (step @p3660 :rule eq_resolve :premises (@p89 @p3659)) % 1.02/1.26 (step @p3661 :rule cong :premises (@p3660 @p3637) :args (@t2569)) % 1.02/1.26 (step @p3662 :rule refl :args ((tptp.subset @t2 @t25))) % 1.02/1.26 (step @p3663 :rule refl :args (@t1419)) % 1.02/1.26 (step @p3664 :rule cong :premises (@p1287 @p3663) :args (@t1420)) % 1.02/1.26 (step @p3665 :rule trans :premises (@p3664 @p3662)) % 1.02/1.26 (step @p3666 :rule ho_cong :premises (@p2155 @p3663)) % 1.02/1.26 (step @p3667 :rule cong :premises (@p3666 @p3665) :args ((= (_ @t419 @t1419) @t1420))) % 1.02/1.26 (step @p3668 :rule symm :premises (@p3667)) % 1.02/1.26 (step @p3669 :rule refl :args (@t458)) % 1.02/1.26 (step @p3670 :rule eq_resolve :premises (@p3669 @p3668)) % 1.02/1.26 (step @p3671 :rule refl :args (@t25)) % 1.02/1.26 (step @p3672 :rule cong :premises (@p3671 @p3663) :args ((= @t25 @t1419))) % 1.02/1.26 (step @p3673 :rule symm :premises (@p3672)) % 1.02/1.26 (step @p3674 :rule eq_resolve :premises (@p3671 @p3673)) % 1.02/1.26 (step @p3675 :rule ho_cong :premises (@p2155 @p3674)) % 1.02/1.26 (step @p3676 :rule trans :premises (@p3675 @p3670)) % 1.02/1.26 (step @p3677 :rule cong :premises (@p3676) :args (@t460)) % 1.02/1.26 (step @p3678 :rule refl :args (tptp.setadjoinSub)) % 1.02/1.26 (step @p3679 :rule cong :premises (@p3678 @p3677) :args (@t461)) % 1.02/1.26 (step @p3680 :rule eq_resolve :premises (@p88 @p3679)) % 1.02/1.26 (step @p3681 :rule cong :premises (@p3680 @p3661) :args (@t2570)) % 1.02/1.26 (step @p3682 :rule refl :args (@t1422)) % 1.02/1.26 (step @p3683 :rule refl :args (@t452)) % 1.02/1.26 (step @p3684 :rule cong :premises (@p3683 @p3682) :args ((= @t452 @t1422))) % 1.02/1.26 (step @p3685 :rule symm :premises (@p3684)) % 1.02/1.26 (step @p3686 :rule eq_resolve :premises (@p3683 @p3685)) % 1.02/1.26 (step @p3687 :rule refl :args (@t1423)) % 1.02/1.26 (step @p3688 :rule refl :args (@t453)) % 1.02/1.26 (step @p3689 :rule cong :premises (@p3688 @p3687) :args ((= @t453 @t1423))) % 1.02/1.26 (step @p3690 :rule symm :premises (@p3689)) % 1.02/1.26 (step @p3691 :rule eq_resolve :premises (@p3688 @p3690)) % 1.02/1.26 (step @p3692 :rule cong :premises (@p3691) :args (@t2571)) % 1.02/1.26 (step @p3693 :rule nary_cong :premises (@p3037 @p3692 @p3686) :args (@t2572)) % 1.02/1.26 (step @p3694 :rule cong :premises (@p3693) :args ((forall @t455 @t2572))) % 1.02/1.26 (step @p3695 :rule aci_norm :args ((= (or @t439 (or @t2571 @t452)) @t2572))) % 1.02/1.26 (step @p3696 :rule bool-impl-elim :args (@t453 @t452)) % 1.02/1.26 (step @p3697 :rule nary_cong :premises (@p3608 @p3696) :args ((or @t439 @t454))) % 1.02/1.26 (step @p3698 :rule trans :premises (@p3697 @p3695)) % 1.02/1.26 (step @p3699 :rule bool-impl-elim :args (@t420 @t454)) % 1.02/1.26 (step @p3700 :rule trans :premises (@p3699 @p3698)) % 1.02/1.26 (step @p3701 :rule cong :premises (@p3700) :args (@t456)) % 1.02/1.26 (step @p3702 :rule trans :premises (@p3701 @p3694)) % 1.02/1.26 (step @p3703 :rule refl :args (tptp.subsetTrans)) % 1.02/1.26 (step @p3704 :rule cong :premises (@p3703 @p3702) :args (@t457)) % 1.02/1.26 (step @p3705 :rule eq_resolve :premises (@p87 @p3704)) % 1.02/1.26 (step @p3706 :rule cong :premises (@p3705 @p3681) :args (@t2573)) % 1.02/1.26 (step @p3707 :rule refl :args (@t1425)) % 1.02/1.26 (step @p3708 :rule refl :args (@t449)) % 1.02/1.26 (step @p3709 :rule cong :premises (@p3708 @p3707) :args ((= @t449 @t1425))) % 1.02/1.26 (step @p3710 :rule symm :premises (@p3709)) % 1.02/1.26 (step @p3711 :rule eq_resolve :premises (@p3708 @p3710)) % 1.02/1.26 (step @p3712 :rule cong :premises (@p3711) :args (@t450)) % 1.02/1.26 (step @p3713 :rule refl :args (tptp.subsetRefl)) % 1.02/1.26 (step @p3714 :rule cong :premises (@p3713 @p3712) :args (@t451)) % 1.02/1.26 (step @p3715 :rule eq_resolve :premises (@p86 @p3714)) % 1.02/1.26 (step @p3716 :rule cong :premises (@p3715 @p3706) :args (@t2574)) % 1.02/1.26 (step @p3717 :rule bool-eq-true :args (tptp.notequalI2)) % 1.02/1.26 (step @p3718 :rule symm :premises (@p3717)) % 1.02/1.26 (step @p3719 :rule quant-unused-vars :args ((= (forall @t2575 true) true))) % 1.02/1.26 (step @p3720 :rule bool-or-taut2 :args (false @t1335 false false)) % 1.02/1.26 (step @p3721 :rule cong :premises (@p3720) :args ((forall @t2575 @t2576))) % 1.02/1.26 (step @p3722 :rule trans :premises (@p3721 @p3719)) % 1.02/1.26 (step @p3723 :rule aci_norm :args ((= (or @t1337 @t1335 false) @t2576))) % 1.02/1.26 (step @p3724 :rule eq-refl :args (@t1)) % 1.02/1.26 (step @p3725 :rule cong :premises (@p3724) :args (@t2577)) % 1.02/1.26 (step @p3726 :rule trans :premises (@p3725 @p1436)) % 1.02/1.26 (step @p3727 :rule nary_cong :premises (@p2866 @p2862 @p3726) :args (@t2578)) % 1.02/1.26 (step @p3728 :rule trans :premises (@p3727 @p3723)) % 1.02/1.26 (step @p3729 :rule cong :premises (@p3728) :args ((forall @t2575 @t2578))) % 1.02/1.26 (step @p3730 :rule trans :premises (@p3729 @p3722)) % 1.02/1.26 (step @p3731 :rule quant-var-elim-eq :args ((= (forall @t64 @t2579) @t2578))) % 1.02/1.26 (step @p3732 :rule aci_norm :args ((= @t2580 @t2579))) % 1.02/1.26 (step @p3733 :rule cong :premises (@p3732) :args (@t2581)) % 1.02/1.26 (step @p3734 :rule trans :premises (@p3733 @p3731)) % 1.02/1.26 (step @p3735 :rule cong :premises (@p3734) :args (@t2582)) % 1.02/1.26 (step @p3736 :rule quant-merge-prenex :args ((= @t2582 @t2583))) % 1.02/1.26 (step @p3737 :rule symm :premises (@p3736)) % 1.02/1.26 (step @p3738 :rule quant_var_reordering :args ((= (forall @t245 @t2580) @t2583))) % 1.02/1.26 (step @p3739 :rule trans :premises (@p3738 @p3737 @p3735)) % 1.02/1.26 (step @p3740 :rule trans :premises (@p3739 @p3730)) % 1.02/1.26 (step @p3741 :rule refl :args (@t443)) % 1.02/1.26 (step @p3742 :rule nary_cong :premises (@p649 @p2780 @p3741) :args (@t2584)) % 1.02/1.26 (step @p3743 :rule cong :premises (@p3742) :args ((forall @t245 @t2584))) % 1.02/1.26 (step @p3744 :rule trans :premises (@p3743 @p3740)) % 1.02/1.26 (step @p3745 :rule aci_norm :args ((= (or @t197 (or @t6 @t443)) @t2584))) % 1.02/1.26 (step @p3746 :rule nary_cong :premises (@p2785 @p3741) :args ((or @t2437 @t443))) % 1.02/1.26 (step @p3747 :rule bool-impl-elim :args (@t435 @t443)) % 1.02/1.26 (step @p3748 :rule trans :premises (@p3747 @p3746)) % 1.02/1.26 (step @p3749 :rule nary_cong :premises (@p806 @p3748) :args ((or @t197 @t446))) % 1.02/1.26 (step @p3750 :rule trans :premises (@p3749 @p3745)) % 1.02/1.26 (step @p3751 :rule bool-impl-elim :args (@t7 @t446)) % 1.02/1.26 (step @p3752 :rule trans :premises (@p3751 @p3750)) % 1.02/1.26 (step @p3753 :rule cong :premises (@p3752) :args (@t447)) % 1.02/1.26 (step @p3754 :rule trans :premises (@p3753 @p3744)) % 1.02/1.26 (step @p3755 :rule refl :args (tptp.notequalI2)) % 1.02/1.26 (step @p3756 :rule cong :premises (@p3755 @p3754) :args (@t448)) % 1.02/1.26 (step @p3757 :rule trans :premises (@p3756 @p3717)) % 1.02/1.26 (step @p3758 :rule eq_resolve :premises (@p85 @p3757)) % 1.02/1.26 (step @p3759 :rule eq_resolve :premises (@p3758 @p3718)) % 1.02/1.26 (step @p3760 :rule cong :premises (@p3759 @p3716) :args (@t2585)) % 1.02/1.26 (step @p3761 :rule aci_norm :args ((= (or @t1427 false) @t1427))) % 1.02/1.26 (step @p3762 :rule refl :args (@t1427)) % 1.02/1.26 (step @p3763 :rule nary_cong :premises (@p3762 @p3726) :args (@t2586)) % 1.02/1.26 (step @p3764 :rule trans :premises (@p3763 @p3761)) % 1.02/1.26 (step @p3765 :rule cong :premises (@p3764) :args ((forall @t41 @t2586))) % 1.02/1.26 (step @p3766 :rule quant-var-elim-eq :args ((= (forall @t64 @t2587) @t2586))) % 1.02/1.26 (step @p3767 :rule aci_norm :args ((= @t2588 @t2587))) % 1.02/1.26 (step @p3768 :rule cong :premises (@p3767) :args (@t2589)) % 1.02/1.26 (step @p3769 :rule trans :premises (@p3768 @p3766)) % 1.02/1.26 (step @p3770 :rule cong :premises (@p3769) :args (@t2590)) % 1.02/1.26 (step @p3771 :rule quant-merge-prenex :args ((= @t2590 @t2592))) % 1.02/1.26 (step @p3772 :rule symm :premises (@p3771)) % 1.02/1.26 (step @p3773 :rule quant_var_reordering :args ((= (forall @t12 @t2588) @t2592))) % 1.02/1.26 (step @p3774 :rule trans :premises (@p3773 @p3772 @p3770)) % 1.02/1.26 (step @p3775 :rule trans :premises (@p3774 @p3765)) % 1.02/1.26 (step @p3776 :rule nary_cong :premises (@p2929 @p3741) :args (@t2593)) % 1.02/1.26 (step @p3777 :rule cong :premises (@p3776) :args ((forall @t12 @t2593))) % 1.02/1.26 (step @p3778 :rule trans :premises (@p3777 @p3775)) % 1.02/1.26 (step @p3779 :rule bool-double-not-elim :args (@t420)) % 1.02/1.26 (step @p3780 :rule nary_cong :premises (@p3779 @p3741) :args ((or (not @t439) @t443))) % 1.02/1.26 (step @p3781 :rule bool-impl-elim :args (@t439 @t443)) % 1.02/1.26 (step @p3782 :rule trans :premises (@p3781 @p3780)) % 1.02/1.26 (step @p3783 :rule cong :premises (@p3782) :args (@t444)) % 1.02/1.26 (step @p3784 :rule trans :premises (@p3783 @p3778)) % 1.02/1.26 (step @p3785 :rule refl :args (tptp.notequalI1)) % 1.02/1.26 (step @p3786 :rule cong :premises (@p3785 @p3784) :args (@t445)) % 1.02/1.26 (step @p3787 :rule eq_resolve :premises (@p84 @p3786)) % 1.02/1.26 (step @p3788 :rule cong :premises (@p3787 @p3760) :args (@t2594)) % 1.02/1.26 (step @p3789 :rule nary_cong :premises (@p649 @p2780 @p3037) :args (@t2595)) % 1.02/1.26 (step @p3790 :rule cong :premises (@p3789) :args ((forall @t245 @t2595))) % 1.02/1.26 (step @p3791 :rule aci_norm :args ((= (or @t197 (or @t6 @t439)) @t2595))) % 1.02/1.26 (step @p3792 :rule nary_cong :premises (@p2785 @p3608) :args ((or @t2437 @t439))) % 1.02/1.26 (step @p3793 :rule bool-impl-elim :args (@t435 @t439)) % 1.02/1.26 (step @p3794 :rule trans :premises (@p3793 @p3792)) % 1.02/1.26 (step @p3795 :rule nary_cong :premises (@p806 @p3794) :args ((or @t197 @t440))) % 1.02/1.26 (step @p3796 :rule trans :premises (@p3795 @p3791)) % 1.02/1.26 (step @p3797 :rule bool-impl-elim :args (@t7 @t440)) % 1.02/1.26 (step @p3798 :rule trans :premises (@p3797 @p3796)) % 1.02/1.26 (step @p3799 :rule cong :premises (@p3798) :args (@t441)) % 1.02/1.26 (step @p3800 :rule trans :premises (@p3799 @p3790)) % 1.02/1.26 (step @p3801 :rule refl :args (tptp.notsubsetI)) % 1.02/1.26 (step @p3802 :rule cong :premises (@p3801 @p3800) :args (@t442)) % 1.02/1.26 (step @p3803 :rule eq_resolve :premises (@p83 @p3802)) % 1.02/1.26 (step @p3804 :rule cong :premises (@p3803 @p3788) :args (@t2596)) % 1.02/1.26 (step @p3805 :rule nary_cong :premises (@p3037 @p2780 @p649) :args (@t2597)) % 1.02/1.26 (step @p3806 :rule cong :premises (@p3805) :args ((forall @t245 @t2597))) % 1.02/1.26 (step @p3807 :rule aci_norm :args ((= (or @t439 @t2475) @t2597))) % 1.02/1.26 (step @p3808 :rule nary_cong :premises (@p3608 @p3005) :args ((or @t439 @t436))) % 1.02/1.26 (step @p3809 :rule trans :premises (@p3808 @p3807)) % 1.02/1.26 (step @p3810 :rule bool-impl-elim :args (@t420 @t436)) % 1.02/1.26 (step @p3811 :rule trans :premises (@p3810 @p3809)) % 1.02/1.26 (step @p3812 :rule cong :premises (@p3811) :args (@t437)) % 1.02/1.26 (step @p3813 :rule trans :premises (@p3812 @p3806)) % 1.02/1.26 (step @p3814 :rule refl :args (tptp.subsetE2)) % 1.02/1.26 (step @p3815 :rule cong :premises (@p3814 @p3813) :args (@t438)) % 1.02/1.26 (step @p3816 :rule eq_resolve :premises (@p82 @p3815)) % 1.02/1.26 (step @p3817 :rule cong :premises (@p3816 @p3804) :args (@t2598)) % 1.02/1.26 (step @p3818 :rule nary_cong :premises (@p3037 @p649 @p2780) :args (@t2599)) % 1.02/1.26 (step @p3819 :rule cong :premises (@p3818) :args ((forall @t245 @t2599))) % 1.02/1.26 (step @p3820 :rule aci_norm :args ((= (or @t439 @t2479) @t2599))) % 1.02/1.26 (step @p3821 :rule nary_cong :premises (@p3608 @p3023) :args ((or @t439 @t191))) % 1.02/1.26 (step @p3822 :rule trans :premises (@p3821 @p3820)) % 1.02/1.26 (step @p3823 :rule bool-impl-elim :args (@t420 @t191)) % 1.02/1.26 (step @p3824 :rule trans :premises (@p3823 @p3822)) % 1.02/1.26 (step @p3825 :rule cong :premises (@p3824) :args (@t433)) % 1.02/1.26 (step @p3826 :rule trans :premises (@p3825 @p3819)) % 1.02/1.26 (step @p3827 :rule refl :args (tptp.subsetE)) % 1.02/1.26 (step @p3828 :rule cong :premises (@p3827 @p3826) :args (@t434)) % 1.02/1.26 (step @p3829 :rule eq_resolve :premises (@p81 @p3828)) % 1.02/1.26 (step @p3830 :rule cong :premises (@p3829 @p3817) :args (@t2600)) % 1.02/1.26 (step @p3831 :rule refl :args (@t1432)) % 1.02/1.26 (step @p3832 :rule refl :args (@t430)) % 1.02/1.26 (step @p3833 :rule cong :premises (@p3832 @p3831) :args ((= @t430 @t1432))) % 1.02/1.26 (step @p3834 :rule symm :premises (@p3833)) % 1.02/1.26 (step @p3835 :rule eq_resolve :premises (@p3832 @p3834)) % 1.02/1.26 (step @p3836 :rule cong :premises (@p3835) :args (@t431)) % 1.02/1.26 (step @p3837 :rule refl :args (tptp.emptysetsubset)) % 1.02/1.26 (step @p3838 :rule cong :premises (@p3837 @p3836) :args (@t432)) % 1.02/1.26 (step @p3839 :rule eq_resolve :premises (@p80 @p3838)) % 1.02/1.26 (step @p3840 :rule cong :premises (@p3839 @p3830) :args (@t2601)) % 1.02/1.26 (step @p3841 :rule eq-symm :args (@t1436 tptp.subsetI2)) % 1.02/1.26 (step @p3842 :rule refl :args (tptp.subsetI2)) % 1.02/1.26 (step @p3843 :rule refl :args (@t1435)) % 1.02/1.26 (step @p3844 :rule nary_cong :premises (@p3843 @p2929) :args (@t2602)) % 1.02/1.26 (step @p3845 :rule cong :premises (@p3844) :args ((forall @t12 @t2602))) % 1.02/1.26 (step @p3846 :rule bool-impl-elim :args (@t1434 @t420)) % 1.02/1.26 (step @p3847 :rule cong :premises (@p3846) :args ((forall @t12 (=> @t1434 @t420)))) % 1.02/1.26 (step @p3848 :rule trans :premises (@p3847 @p3845)) % 1.02/1.26 (step @p3849 :rule nary_cong :premises (@p649 @p2780) :args (@t2479)) % 1.02/1.26 (step @p3850 :rule cong :premises (@p3849) :args ((forall @t9 @t2479))) % 1.02/1.26 (step @p3851 :rule cong :premises (@p3023) :args (@t192)) % 1.02/1.26 (step @p3852 :rule trans :premises (@p3851 @p3850)) % 1.02/1.26 (step @p3853 :rule cong :premises (@p3852 @p2942) :args (@t421)) % 1.02/1.26 (step @p3854 :rule cong :premises (@p3853) :args (@t422)) % 1.02/1.26 (step @p3855 :rule trans :premises (@p3854 @p3848)) % 1.02/1.26 (step @p3856 :rule cong :premises (@p3855 @p3842) :args ((= @t422 tptp.subsetI2))) % 1.02/1.26 (step @p3857 :rule trans :premises (@p3856 @p3841)) % 1.02/1.26 (step @p3858 :rule eq-symm :args (tptp.subsetI2 @t422)) % 1.02/1.26 (step @p3859 :rule trans :premises (@p3858 @p3857)) % 1.02/1.26 (step @p3860 :rule eq_resolve :premises (@p79 @p3859)) % 1.02/1.26 (step @p3861 :rule cong :premises (@p3860 @p3840) :args (@t2603)) % 1.02/1.26 (step @p3862 :rule aci_norm :args ((= (or false @t1427) @t1427))) % 1.02/1.26 (step @p3863 :rule nary_cong :premises (@p3726 @p3762) :args (@t2604)) % 1.02/1.26 (step @p3864 :rule trans :premises (@p3863 @p3862)) % 1.02/1.26 (step @p3865 :rule cong :premises (@p3864) :args ((forall @t41 @t2604))) % 1.02/1.26 (step @p3866 :rule quant-var-elim-eq :args ((= (forall @t64 @t2605) @t2604))) % 1.02/1.26 (step @p3867 :rule aci_norm :args ((= @t2606 @t2605))) % 1.02/1.26 (step @p3868 :rule cong :premises (@p3867) :args (@t2607)) % 1.02/1.26 (step @p3869 :rule trans :premises (@p3868 @p3866)) % 1.02/1.26 (step @p3870 :rule cong :premises (@p3869) :args (@t2608)) % 1.02/1.26 (step @p3871 :rule quant-merge-prenex :args ((= @t2608 @t2609))) % 1.02/1.26 (step @p3872 :rule symm :premises (@p3871)) % 1.02/1.26 (step @p3873 :rule quant_var_reordering :args ((= (forall @t12 @t2606) @t2609))) % 1.02/1.26 (step @p3874 :rule trans :premises (@p3873 @p3872 @p3870)) % 1.02/1.26 (step @p3875 :rule trans :premises (@p3874 @p3865)) % 1.02/1.26 (step @p3876 :rule nary_cong :premises (@p3741 @p2929) :args (@t2610)) % 1.02/1.26 (step @p3877 :rule cong :premises (@p3876) :args ((forall @t12 @t2610))) % 1.02/1.26 (step @p3878 :rule trans :premises (@p3877 @p3875)) % 1.02/1.26 (step @p3879 :rule bool-impl-elim :args (@t3 @t420)) % 1.02/1.26 (step @p3880 :rule cong :premises (@p3879) :args (@t428)) % 1.02/1.26 (step @p3881 :rule trans :premises (@p3880 @p3878)) % 1.02/1.26 (step @p3882 :rule refl :args (tptp.eqimpsubset1)) % 1.02/1.26 (step @p3883 :rule cong :premises (@p3882 @p3881) :args (@t429)) % 1.02/1.26 (step @p3884 :rule eq_resolve :premises (@p78 @p3883)) % 1.02/1.26 (step @p3885 :rule cong :premises (@p3884 @p3861) :args (@t2611)) % 1.02/1.26 (step @p3886 :rule quant-var-elim-eq :args ((= (forall @t64 @t2612) @t2604))) % 1.02/1.26 (step @p3887 :rule aci_norm :args ((= @t2613 @t2612))) % 1.02/1.26 (step @p3888 :rule cong :premises (@p3887) :args (@t2614)) % 1.02/1.26 (step @p3889 :rule trans :premises (@p3888 @p3886)) % 1.02/1.26 (step @p3890 :rule cong :premises (@p3889) :args (@t2615)) % 1.02/1.26 (step @p3891 :rule quant-merge-prenex :args ((= @t2615 @t2616))) % 1.02/1.26 (step @p3892 :rule symm :premises (@p3891)) % 1.02/1.26 (step @p3893 :rule quant_var_reordering :args ((= (forall @t12 @t2613) @t2616))) % 1.02/1.26 (step @p3894 :rule trans :premises (@p3893 @p3892 @p3890)) % 1.02/1.26 (step @p3895 :rule trans :premises (@p3894 @p3865)) % 1.02/1.26 (step @p3896 :rule nary_cong :premises (@p3741 @p3149) :args (@t2617)) % 1.02/1.26 (step @p3897 :rule cong :premises (@p3896) :args ((forall @t12 @t2617))) % 1.02/1.26 (step @p3898 :rule trans :premises (@p3897 @p3895)) % 1.02/1.26 (step @p3899 :rule bool-impl-elim :args (@t3 @t425)) % 1.02/1.26 (step @p3900 :rule cong :premises (@p3899) :args (@t426)) % 1.02/1.26 (step @p3901 :rule trans :premises (@p3900 @p3898)) % 1.02/1.26 (step @p3902 :rule refl :args (tptp.eqimpsubset2)) % 1.02/1.26 (step @p3903 :rule cong :premises (@p3902 @p3901) :args (@t427)) % 1.02/1.26 (step @p3904 :rule eq_resolve :premises (@p77 @p3903)) % 1.02/1.26 (step @p3905 :rule cong :premises (@p3904 @p3885) :args (@t2618)) % 1.02/1.26 (step @p3906 :rule refl :args (tptp.subsetI1)) % 1.02/1.26 (step @p3907 :rule cong :premises (@p3906 @p3855) :args (@t423)) % 1.02/1.26 (step @p3908 :rule eq_resolve :premises (@p76 @p3907)) % 1.02/1.26 (step @p3909 :rule cong :premises (@p3908 @p3905) :args (@t2619)) % 1.02/1.26 (step @p3910 :rule aci_norm :args ((= (or false @t1444 @t1441) @t1445))) % 1.02/1.26 (step @p3911 :rule eq-symm :args (@t1438 @t1440)) % 1.02/1.26 (step @p3912 :rule aci_norm :args ((= @t2620 @t1443))) % 1.02/1.26 (step @p3913 :rule cong :premises (@p3912) :args (@t2621)) % 1.02/1.26 (step @p3914 :rule cong :premises (@p3913) :args (@t2622)) % 1.02/1.26 (step @p3915 :rule nary_cong :premises (@p3726 @p3914 @p3911) :args (@t2623)) % 1.02/1.26 (step @p3916 :rule trans :premises (@p3915 @p3910)) % 1.02/1.26 (step @p3917 :rule cong :premises (@p3916) :args ((forall @t1446 @t2623))) % 1.02/1.26 (step @p3918 :rule quant-var-elim-eq :args ((= (forall @t64 @t2626) @t2623))) % 1.02/1.26 (step @p3919 :rule aci_norm :args ((= @t2627 @t2626))) % 1.02/1.26 (step @p3920 :rule cong :premises (@p3919) :args (@t2628)) % 1.02/1.26 (step @p3921 :rule trans :premises (@p3920 @p3918)) % 1.02/1.26 (step @p3922 :rule cong :premises (@p3921) :args (@t2629)) % 1.02/1.26 (step @p3923 :rule quant-merge-prenex :args ((= @t2629 @t2630))) % 1.02/1.26 (step @p3924 :rule symm :premises (@p3923)) % 1.02/1.26 (step @p3925 :rule quant_var_reordering :args ((= (forall @t2631 @t2627) @t2630))) % 1.02/1.26 (step @p3926 :rule trans :premises (@p3925 @p3924 @p3922)) % 1.02/1.26 (step @p3927 :rule trans :premises (@p3926 @p3917)) % 1.02/1.26 (step @p3928 :rule aci_norm :args ((= @t2633 @t2627))) % 1.02/1.26 (step @p3929 :rule cong :premises (@p3928) :args (@t2634)) % 1.02/1.26 (step @p3930 :rule trans :premises (@p3929 @p3927)) % 1.02/1.26 (step @p3931 :rule quant-merge-prenex :args ((= (forall @t12 @t2636) @t2634))) % 1.02/1.26 (step @p3932 :rule alpha_equiv :args (@t2637 (@list @t1437 @t1439) (@list @t143 @t366))) % 1.02/1.26 (step @p3933 :rule nary_cong :premises (@p3741 @p3932) :args (@t2638)) % 1.02/1.26 (step @p3934 :rule quant-miniscope-or :args ((= @t2636 @t2638))) % 1.02/1.26 (step @p3935 :rule trans :premises (@p3934 @p3933)) % 1.02/1.26 (step @p3936 :rule symm :premises (@p3935)) % 1.02/1.26 (step @p3937 :rule cong :premises (@p3936) :args ((forall @t12 (or @t443 @t2642)))) % 1.02/1.26 (step @p3938 :rule trans :premises (@p3937 @p3931)) % 1.02/1.26 (step @p3939 :rule trans :premises (@p3938 @p3930)) % 1.02/1.26 (step @p3940 :rule bool-impl-elim :args (@t3 @t2642)) % 1.02/1.26 (step @p3941 :rule cong :premises (@p3940) :args ((forall @t12 (=> @t3 @t2642)))) % 1.02/1.26 (step @p3942 :rule trans :premises (@p3941 @p3939)) % 1.02/1.26 (step @p3943 :rule lambda-elim :args ((= @t2643 @t366))) % 1.02/1.26 (step @p3944 :rule cong :premises (@p770 @p3943) :args (@t2644)) % 1.02/1.26 (step @p3945 :rule cong :premises (@p3461 @p3944) :args (@t2645)) % 1.02/1.26 (step @p3946 :rule refl :args (@t2641)) % 1.02/1.26 (step @p3947 :rule nary_cong :premises (@p3946 @p3945) :args (@t2646)) % 1.02/1.26 (step @p3948 :rule cong :premises (@p3947) :args ((forall @t376 @t2646))) % 1.02/1.26 (step @p3949 :rule refl :args ((tptp.dsetconstr @t1 @t368))) % 1.02/1.26 (step @p3950 :rule refl :args (@t1471)) % 1.02/1.26 (step @p3951 :rule cong :premises (@p3950) :args (@t2643)) % 1.02/1.26 (step @p3952 :rule cong :premises (@p1165 @p3951) :args (@t2644)) % 1.02/1.26 (step @p3953 :rule trans :premises (@p3952 @p3949)) % 1.02/1.26 (step @p3954 :rule refl :args (@t408)) % 1.02/1.26 (step @p3955 :rule ho_cong :premises (@p3954 @p3951)) % 1.02/1.26 (step @p3956 :rule cong :premises (@p3955 @p3953) :args ((= (_ @t408 @t2643) @t2644))) % 1.02/1.26 (step @p3957 :rule symm :premises (@p3956)) % 1.02/1.26 (step @p3958 :rule refl :args (@t409)) % 1.02/1.26 (step @p3959 :rule eq_resolve :premises (@p3958 @p3957)) % 1.02/1.26 (step @p3960 :rule refl :args (@t367)) % 1.02/1.26 (step @p3961 :rule cong :premises (@p3960 @p3950) :args ((= @t367 @t1471))) % 1.02/1.26 (step @p3962 :rule symm :premises (@p3961)) % 1.02/1.26 (step @p3963 :rule eq_resolve :premises (@p3960 @p3962)) % 1.02/1.26 (step @p3964 :rule cong :premises (@p3963) :args (@t368)) % 1.02/1.26 (step @p3965 :rule ho_cong :premises (@p3954 @p3964)) % 1.02/1.26 (step @p3966 :rule trans :premises (@p3965 @p3959)) % 1.02/1.26 (step @p3967 :rule cong :premises (@p3484 @p3966) :args (@t410)) % 1.02/1.26 (step @p3968 :rule refl :args (@t2641)) % 1.02/1.26 (step @p3969 :rule nary_cong :premises (@p3968 @p3967) :args (@t2647)) % 1.02/1.26 (step @p3970 :rule cong :premises (@p3969) :args ((forall @t376 @t2647))) % 1.02/1.26 (step @p3971 :rule trans :premises (@p3970 @p3948)) % 1.02/1.26 (step @p3972 :rule bool-impl-elim :args (@t2640 @t410)) % 1.02/1.26 (step @p3973 :rule cong :premises (@p3972) :args ((forall @t376 (=> @t2640 @t410)))) % 1.02/1.26 (step @p3974 :rule trans :premises (@p3973 @p3971)) % 1.02/1.26 (step @p3975 :rule refl :args (@t410)) % 1.02/1.26 (step @p3976 :rule refl :args (@t2639)) % 1.02/1.26 (step @p3977 :rule refl :args (@t1337)) % 1.02/1.26 (step @p3978 :rule nary_cong :premises (@p649 @p3977 @p3976) :args (@t2648)) % 1.02/1.26 (step @p3979 :rule cong :premises (@p3978) :args ((forall @t9 @t2648))) % 1.02/1.26 (step @p3980 :rule aci_norm :args ((= (or @t197 @t2649) @t2648))) % 1.02/1.26 (step @p3981 :rule bool-impl-elim :args (@t7 @t2649)) % 1.02/1.26 (step @p3982 :rule trans :premises (@p3981 @p3980)) % 1.02/1.26 (step @p3983 :rule cong :premises (@p3982) :args ((forall @t9 (=> @t7 @t2649)))) % 1.02/1.26 (step @p3984 :rule trans :premises (@p3983 @p3979)) % 1.02/1.26 (step @p3985 :rule aci_norm :args ((= (or @t1337 false @t2639) @t2649))) % 1.02/1.26 (step @p3986 :rule refl :args (@t2639)) % 1.02/1.26 (step @p3987 :rule eq-refl :args (@t4)) % 1.02/1.26 (step @p3988 :rule cong :premises (@p3987) :args (@t2650)) % 1.02/1.26 (step @p3989 :rule trans :premises (@p3988 @p1436)) % 1.02/1.26 (step @p3990 :rule nary_cong :premises (@p2866 @p3989 @p3986) :args (@t2651)) % 1.02/1.26 (step @p3991 :rule trans :premises (@p3990 @p3985)) % 1.02/1.26 (step @p3992 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t1903 @t282 @t2652)) @t2651))) % 1.02/1.26 (step @p3993 :rule refl :args (@t2652)) % 1.02/1.26 (step @p3994 :rule eq-symm :args (@t4 @t19)) % 1.02/1.26 (step @p3995 :rule cong :premises (@p3994) :args (@t282)) % 1.02/1.26 (step @p3996 :rule nary_cong :premises (@p3995 @p665 @p1500 @p3993) :args (@t2653)) % 1.02/1.26 (step @p3997 :rule aci_norm :args ((= @t2654 @t2653))) % 1.02/1.26 (step @p3998 :rule trans :premises (@p3997 @p3996)) % 1.02/1.26 (step @p3999 :rule cong :premises (@p3998) :args ((forall @t70 @t2654))) % 1.02/1.26 (step @p4000 :rule trans :premises (@p3999 @p3992)) % 1.02/1.26 (step @p4001 :rule trans :premises (@p4000 @p3991)) % 1.02/1.26 (step @p4002 :rule refl :args (@t1449)) % 1.02/1.26 (step @p4003 :rule refl :args (@t371)) % 1.02/1.26 (step @p4004 :rule cong :premises (@p4003 @p4002) :args ((= @t371 @t1449))) % 1.02/1.26 (step @p4005 :rule symm :premises (@p4004)) % 1.02/1.26 (step @p4006 :rule eq_resolve :premises (@p4003 @p4005)) % 1.02/1.26 (step @p4007 :rule cong :premises (@p1846 @p4006) :args (@t372)) % 1.02/1.26 (step @p4008 :rule nary_cong :premises (@p732 @p1500 @p4007) :args (@t2655)) % 1.02/1.26 (step @p4009 :rule cong :premises (@p4008) :args ((forall @t70 @t2655))) % 1.02/1.26 (step @p4010 :rule trans :premises (@p4009 @p4001)) % 1.02/1.26 (step @p4011 :rule aci_norm :args ((= (or @t1922 @t2656) @t2655))) % 1.02/1.26 (step @p4012 :rule bool-impl-elim :args (@t129 @t372)) % 1.02/1.26 (step @p4013 :rule nary_cong :premises (@p737 @p4012) :args ((or @t1922 @t373))) % 1.02/1.26 (step @p4014 :rule trans :premises (@p4013 @p4011)) % 1.02/1.26 (step @p4015 :rule bool-impl-elim :args (@t352 @t373)) % 1.02/1.26 (step @p4016 :rule trans :premises (@p4015 @p4014)) % 1.02/1.26 (step @p4017 :rule cong :premises (@p4016) :args (@t411)) % 1.02/1.26 (step @p4018 :rule trans :premises (@p4017 @p4010)) % 1.02/1.26 (step @p4019 :rule cong :premises (@p783 @p4018) :args (@t412)) % 1.02/1.26 (step @p4020 :rule cong :premises (@p4019) :args (@t413)) % 1.02/1.26 (step @p4021 :rule trans :premises (@p4020 @p3984)) % 1.02/1.26 (step @p4022 :rule cong :premises (@p4021 @p3975) :args (@t414)) % 1.02/1.26 (step @p4023 :rule cong :premises (@p4022) :args (@t415)) % 1.02/1.26 (step @p4024 :rule trans :premises (@p4023 @p3974)) % 1.02/1.26 (step @p4025 :rule refl :args (@t3)) % 1.02/1.26 (step @p4026 :rule cong :premises (@p4025 @p4024) :args (@t416)) % 1.02/1.26 (step @p4027 :rule cong :premises (@p4026) :args (@t417)) % 1.02/1.26 (step @p4028 :rule trans :premises (@p4027 @p3942)) % 1.02/1.26 (step @p4029 :rule refl :args (tptp.dsetconstr__Cong)) % 1.02/1.26 (step @p4030 :rule cong :premises (@p4029 @p4028) :args (@t418)) % 1.02/1.26 (step @p4031 :rule eq_resolve :premises (@p75 @p4030)) % 1.02/1.26 (step @p4032 :rule cong :premises (@p4031 @p3909) :args (@t2657)) % 1.02/1.26 (step @p4033 :rule eq-symm :args (@t1448 @t19)) % 1.02/1.26 (step @p4034 :rule refl :args (@t1450)) % 1.02/1.26 (step @p4035 :rule nary_cong :premises (@p4034 @p4033) :args (@t2658)) % 1.02/1.26 (step @p4036 :rule cong :premises (@p4035) :args (@t2659)) % 1.02/1.26 (step @p4037 :rule cong :premises (@p4036) :args (@t2660)) % 1.02/1.26 (step @p4038 :rule refl :args (@t1451)) % 1.02/1.26 (step @p4039 :rule eq-symm :args (@t1452 @t19)) % 1.02/1.26 (step @p4040 :rule refl :args (@t1235)) % 1.02/1.26 (step @p4041 :rule nary_cong :premises (@p4040 @p4039) :args (@t2661)) % 1.02/1.26 (step @p4042 :rule cong :premises (@p4041) :args (@t2662)) % 1.02/1.26 (step @p4043 :rule cong :premises (@p4042) :args (@t2663)) % 1.02/1.26 (step @p4044 :rule refl :args (@t1453)) % 1.02/1.26 (step @p4045 :rule refl :args (@t1455)) % 1.02/1.26 (step @p4046 :rule refl :args (@t1458)) % 1.02/1.26 (step @p4047 :rule nary_cong :premises (@p4046 @p4045 @p4044 @p4043 @p4038 @p4037) :args (@t2664)) % 1.02/1.26 (step @p4048 :rule aci_norm :args ((= @t2667 @t2664))) % 1.02/1.26 (step @p4049 :rule trans :premises (@p4048 @p4047)) % 1.02/1.26 (step @p4050 :rule cong :premises (@p4049) :args (@t2668)) % 1.02/1.26 (step @p4051 :rule quant-merge-prenex :args ((= (forall @t376 @t2669) @t2668))) % 1.02/1.26 (step @p4052 :rule refl :args (@t1455)) % 1.02/1.26 (step @p4053 :rule alpha_equiv :args (@t2670 (@list @t1448) @t1906)) % 1.02/1.26 (step @p4054 :rule alpha_equiv :args (@t2671 (@list @t1452) @t1906)) % 1.02/1.26 (step @p4055 :rule refl :args (@t1458)) % 1.02/1.26 (step @p4056 :rule nary_cong :premises (@p4055 @p4054 @p4053 @p4052) :args (@t2672)) % 1.02/1.26 (step @p4057 :rule quant-miniscope-or :args ((= @t2669 @t2672))) % 1.02/1.26 (step @p4058 :rule trans :premises (@p4057 @p4056)) % 1.02/1.26 (step @p4059 :rule symm :premises (@p4058)) % 1.02/1.26 (step @p4060 :rule cong :premises (@p4059) :args ((forall @t376 (or @t1458 @t1476 @t1472 @t1455)))) % 1.02/1.26 (step @p4061 :rule trans :premises (@p4060 @p4051)) % 1.02/1.26 (step @p4062 :rule trans :premises (@p4061 @p4050)) % 1.02/1.26 (step @p4063 :rule cong :premises (@p3943) :args (@t2673)) % 1.02/1.26 (step @p4064 :rule cong :premises (@p3460) :args (@t2674)) % 1.02/1.26 (step @p4065 :rule cong :premises (@p4064 @p4063) :args (@t2675)) % 1.02/1.26 (step @p4066 :rule refl :args (@t1472)) % 1.02/1.26 (step @p4067 :rule refl :args (@t1476)) % 1.02/1.26 (step @p4068 :rule nary_cong :premises (@p4046 @p4067 @p4066 @p4065) :args (@t2676)) % 1.02/1.26 (step @p4069 :rule cong :premises (@p4068) :args ((forall @t376 @t2676))) % 1.02/1.26 (step @p4070 :rule trans :premises (@p4069 @p4062)) % 1.02/1.26 (step @p4071 :rule refl :args ((tptp.descr @t368))) % 1.02/1.26 (step @p4072 :rule cong :premises (@p3951) :args (@t2673)) % 1.02/1.26 (step @p4073 :rule trans :premises (@p4072 @p4071)) % 1.02/1.26 (step @p4074 :rule refl :args (tptp.descr)) % 1.02/1.26 (step @p4075 :rule ho_cong :premises (@p4074 @p3951)) % 1.02/1.26 (step @p4076 :rule cong :premises (@p4075 @p4073) :args ((= (_ tptp.descr @t2643) @t2673))) % 1.02/1.26 (step @p4077 :rule symm :premises (@p4076)) % 1.02/1.26 (step @p4078 :rule refl :args (@t401)) % 1.02/1.26 (step @p4079 :rule eq_resolve :premises (@p4078 @p4077)) % 1.02/1.26 (step @p4080 :rule ho_cong :premises (@p4074 @p3964)) % 1.02/1.26 (step @p4081 :rule trans :premises (@p4080 @p4079)) % 1.02/1.26 (step @p4082 :rule refl :args ((tptp.descr @t145))) % 1.02/1.26 (step @p4083 :rule cong :premises (@p3466) :args (@t2674)) % 1.02/1.26 (step @p4084 :rule trans :premises (@p4083 @p4082)) % 1.02/1.26 (step @p4085 :rule ho_cong :premises (@p4074 @p3466)) % 1.02/1.26 (step @p4086 :rule cong :premises (@p4085 @p4084) :args ((= (_ tptp.descr @t2547) @t2674))) % 1.02/1.26 (step @p4087 :rule symm :premises (@p4086)) % 1.02/1.26 (step @p4088 :rule refl :args (@t146)) % 1.02/1.26 (step @p4089 :rule eq_resolve :premises (@p4088 @p4087)) % 1.02/1.26 (step @p4090 :rule ho_cong :premises (@p4074 @p3482)) % 1.02/1.26 (step @p4091 :rule trans :premises (@p4090 @p4089)) % 1.02/1.26 (step @p4092 :rule cong :premises (@p4091 @p4081) :args (@t402)) % 1.02/1.26 (step @p4093 :rule refl :args (@t1472)) % 1.02/1.26 (step @p4094 :rule refl :args (@t1476)) % 1.02/1.26 (step @p4095 :rule nary_cong :premises (@p4055 @p4094 @p4093 @p4092) :args (@t2677)) % 1.02/1.26 (step @p4096 :rule cong :premises (@p4095) :args ((forall @t376 @t2677))) % 1.02/1.26 (step @p4097 :rule trans :premises (@p4096 @p4070)) % 1.02/1.26 (step @p4098 :rule aci_norm :args ((= (or @t1458 @t2678) @t2677))) % 1.02/1.26 (step @p4099 :rule aci_norm :args ((= (or @t1476 (or @t1472 @t402)) @t2678))) % 1.02/1.26 (step @p4100 :rule refl :args (@t402)) % 1.02/1.26 (step @p4101 :rule bool-double-not-elim :args (@t1472)) % 1.02/1.26 (step @p4102 :rule nary_cong :premises (@p4101 @p4100) :args ((or (not @t1473) @t402))) % 1.02/1.26 (step @p4103 :rule bool-impl-elim :args (@t1473 @t402)) % 1.02/1.26 (step @p4104 :rule trans :premises (@p4103 @p4102)) % 1.02/1.26 (step @p4105 :rule nary_cong :premises (@p4094 @p4104) :args ((or @t1476 @t2679))) % 1.02/1.26 (step @p4106 :rule trans :premises (@p4105 @p4099)) % 1.02/1.26 (step @p4107 :rule refl :args (@t2679)) % 1.02/1.26 (step @p4108 :rule bool-double-not-elim :args (@t1476)) % 1.02/1.26 (step @p4109 :rule nary_cong :premises (@p4108 @p4107) :args ((or @t2680 @t2679))) % 1.02/1.26 (step @p4110 :rule bool-impl-elim :args (@t1477 @t2679)) % 1.02/1.26 (step @p4111 :rule trans :premises (@p4110 @p4109)) % 1.02/1.26 (step @p4112 :rule trans :premises (@p4111 @p4106)) % 1.02/1.26 (step @p4113 :rule nary_cong :premises (@p4055 @p4112) :args ((or @t1458 @t2681))) % 1.02/1.26 (step @p4114 :rule trans :premises (@p4113 @p4098)) % 1.02/1.26 (step @p4115 :rule bool-impl-elim :args (@t1457 @t2681)) % 1.02/1.26 (step @p4116 :rule trans :premises (@p4115 @p4114)) % 1.02/1.26 (step @p4117 :rule cong :premises (@p4116) :args ((forall @t376 (=> @t1457 @t2681)))) % 1.02/1.26 (step @p4118 :rule trans :premises (@p4117 @p4097)) % 1.02/1.26 (step @p4119 :rule refl :args (@t402)) % 1.02/1.26 (step @p4120 :rule refl :args (@t1470)) % 1.02/1.26 (step @p4121 :rule cong :premises (@p3963) :args (@t2682)) % 1.02/1.26 (step @p4122 :rule nary_cong :premises (@p4121 @p4120) :args (@t2683)) % 1.02/1.26 (step @p4123 :rule cong :premises (@p4122) :args ((forall @t9 @t2683))) % 1.02/1.26 (step @p4124 :rule cong :premises (@p4006) :args (@t2684)) % 1.02/1.26 (step @p4125 :rule nary_cong :premises (@p4124 @p1422) :args (@t2685)) % 1.02/1.26 (step @p4126 :rule cong :premises (@p4125) :args ((forall @t70 @t2685))) % 1.02/1.26 (step @p4127 :rule beta-reduce :args ((= @t2686 @t371))) % 1.02/1.26 (step @p4128 :rule cong :premises (@p4127) :args (@t2687)) % 1.02/1.26 (step @p4129 :rule nary_cong :premises (@p4128 @p1534) :args (@t2688)) % 1.02/1.26 (step @p4130 :rule cong :premises (@p4129) :args (@t2689)) % 1.02/1.26 (step @p4131 :rule trans :premises (@p4130 @p4126)) % 1.02/1.26 (step @p4132 :rule cong :premises (@p4131) :args (@t2690)) % 1.02/1.26 (step @p4133 :rule beta-reduce :args ((= @t2691 @t367))) % 1.02/1.26 (step @p4134 :rule cong :premises (@p4133) :args (@t2692)) % 1.02/1.26 (step @p4135 :rule nary_cong :premises (@p4134 @p4132) :args (@t2693)) % 1.02/1.26 (step @p4136 :rule cong :premises (@p4135) :args (@t2694)) % 1.02/1.26 (step @p4137 :rule trans :premises (@p4136 @p4123)) % 1.02/1.26 (step @p4138 :rule cong :premises (@p4137) :args (@t2695)) % 1.02/1.26 (step @p4139 :rule beta-reduce :args ((= @t2697 @t2695))) % 1.02/1.26 (step @p4140 :rule trans :premises (@p4139 @p4138)) % 1.02/1.26 (step @p4141 :rule cong :premises (@p4140 @p4119) :args (@t2698)) % 1.02/1.26 (step @p4142 :rule refl :args (@t1475)) % 1.02/1.26 (step @p4143 :rule nary_cong :premises (@p1847 @p4142) :args (@t2699)) % 1.02/1.26 (step @p4144 :rule cong :premises (@p4143) :args ((forall @t9 @t2699))) % 1.02/1.26 (step @p4145 :rule nary_cong :premises (@p1883 @p1422) :args (@t2235)) % 1.02/1.26 (step @p4146 :rule cong :premises (@p4145) :args ((forall @t70 @t2235))) % 1.02/1.26 (step @p4147 :rule beta-reduce :args ((= @t2700 @t153))) % 1.02/1.26 (step @p4148 :rule cong :premises (@p4147) :args (@t2701)) % 1.02/1.26 (step @p4149 :rule nary_cong :premises (@p4148 @p1534) :args (@t2702)) % 1.02/1.26 (step @p4150 :rule cong :premises (@p4149) :args (@t2703)) % 1.02/1.26 (step @p4151 :rule trans :premises (@p4150 @p4146)) % 1.02/1.26 (step @p4152 :rule cong :premises (@p4151) :args (@t2704)) % 1.02/1.26 (step @p4153 :rule beta-reduce :args ((= @t2705 @t144))) % 1.02/1.26 (step @p4154 :rule cong :premises (@p4153) :args (@t2706)) % 1.02/1.26 (step @p4155 :rule nary_cong :premises (@p4154 @p4152) :args (@t2707)) % 1.02/1.26 (step @p4156 :rule cong :premises (@p4155) :args (@t2708)) % 1.02/1.26 (step @p4157 :rule trans :premises (@p4156 @p4144)) % 1.02/1.26 (step @p4158 :rule cong :premises (@p4157) :args (@t2709)) % 1.02/1.26 (step @p4159 :rule beta-reduce :args ((= @t2710 @t2709))) % 1.02/1.26 (step @p4160 :rule trans :premises (@p4159 @p4158)) % 1.02/1.26 (step @p4161 :rule cong :premises (@p4160 @p4141) :args (@t2711)) % 1.02/1.26 (step @p4162 :rule aci_norm :args ((= (or false @t1456) @t1456))) % 1.02/1.26 (step @p4163 :rule refl :args (@t1456)) % 1.02/1.26 (step @p4164 :rule nary_cong :premises (@p1475 @p4163) :args (@t2712)) % 1.02/1.26 (step @p4165 :rule trans :premises (@p4164 @p4162)) % 1.02/1.26 (step @p4166 :rule cong :premises (@p4165) :args ((forall @t70 @t2712))) % 1.02/1.26 (step @p4167 :rule quant-var-elim-eq :args ((= (forall @t9 @t2713) @t2712))) % 1.02/1.26 (step @p4168 :rule aci_norm :args ((= @t2714 @t2713))) % 1.02/1.26 (step @p4169 :rule cong :premises (@p4168) :args (@t2715)) % 1.02/1.26 (step @p4170 :rule trans :premises (@p4169 @p4167)) % 1.02/1.26 (step @p4171 :rule cong :premises (@p4170) :args (@t2716)) % 1.02/1.26 (step @p4172 :rule quant-merge-prenex :args ((= @t2716 @t2717))) % 1.02/1.26 (step @p4173 :rule symm :premises (@p4172)) % 1.02/1.26 (step @p4174 :rule quant_var_reordering :args ((= (forall @t135 @t2714) @t2717))) % 1.02/1.26 (step @p4175 :rule trans :premises (@p4174 @p4173 @p4171)) % 1.02/1.26 (step @p4176 :rule trans :premises (@p4175 @p4166)) % 1.02/1.26 (step @p4177 :rule nary_cong :premises (@p1500 @p4007) :args (@t2656)) % 1.02/1.26 (step @p4178 :rule cong :premises (@p4177) :args ((forall @t135 @t2656))) % 1.02/1.26 (step @p4179 :rule trans :premises (@p4178 @p4176)) % 1.02/1.26 (step @p4180 :rule cong :premises (@p4012) :args (@t374)) % 1.02/1.26 (step @p4181 :rule trans :premises (@p4180 @p4179)) % 1.02/1.26 (step @p4182 :rule cong :premises (@p4181 @p4161) :args (@t2718)) % 1.02/1.26 (step @p4183 :rule cong :premises (@p4182) :args (@t2719)) % 1.02/1.26 (step @p4184 :rule trans :premises (@p4183 @p4118)) % 1.02/1.26 (step @p4185 :rule refl :args (tptp.descr__Cong)) % 1.02/1.26 (step @p4186 :rule cong :premises (@p4185 @p4184) :args ((= tptp.descr__Cong @t2719))) % 1.02/1.26 (step @p4187 :rule refl :args (@t368)) % 1.02/1.26 (step @p4188 :rule bool-and-de-morgan :args (@t144 @t1474 true)) % 1.02/1.26 (step @p4189 :rule cong :premises (@p4188) :args (@t2721)) % 1.02/1.26 (step @p4190 :rule trans :premises (@p4189 @p4144)) % 1.02/1.26 (step @p4191 :rule cong :premises (@p4190) :args (@t2722)) % 1.02/1.26 (step @p4192 :rule exists-elim :args ((= (exists @t9 @t2720) @t2722))) % 1.02/1.26 (step @p4193 :rule trans :premises (@p4192 @p4191)) % 1.02/1.26 (step @p4194 :rule cong :premises (@p1901) :args (@t167)) % 1.02/1.26 (step @p4195 :rule trans :premises (@p4194 @p4146)) % 1.02/1.26 (step @p4196 :rule nary_cong :premises (@p2014 @p4195) :args (@t168)) % 1.02/1.26 (step @p4197 :rule cong :premises (@p4196) :args (@t169)) % 1.02/1.26 (step @p4198 :rule trans :premises (@p4197 @p4193)) % 1.02/1.26 (step @p4199 :rule cong :premises (@p4198) :args (@t1051)) % 1.02/1.26 (step @p4200 :rule trans :premises (@p188 @p4199)) % 1.02/1.26 (step @p4201 :rule ho_cong :premises (@p4200 @p4187)) % 1.02/1.26 (step @p4202 :rule cong :premises (@p4201 @p4119) :args (@t403)) % 1.02/1.26 (step @p4203 :rule ho_cong :premises (@p4200 @p1838)) % 1.02/1.26 (step @p4204 :rule cong :premises (@p4203 @p4202) :args (@t404)) % 1.02/1.26 (step @p4205 :rule refl :args (@t374)) % 1.02/1.26 (step @p4206 :rule cong :premises (@p4205 @p4204) :args (@t405)) % 1.02/1.26 (step @p4207 :rule cong :premises (@p4206) :args (@t406)) % 1.02/1.26 (step @p4208 :rule cong :premises (@p4185 @p4207) :args (@t407)) % 1.02/1.26 (step @p4209 :rule trans :premises (@p4208 @p4186)) % 1.02/1.26 (step @p4210 :rule eq_resolve :premises (@p74 @p4209)) % 1.02/1.26 (step @p4211 :rule cong :premises (@p4210 @p4032) :args (@t2723)) % 1.02/1.26 (step @p4212 :rule refl :args (@t1463)) % 1.02/1.26 (step @p4213 :rule refl :args (@t1464)) % 1.02/1.26 (step @p4214 :rule refl :args (@t1465)) % 1.02/1.26 (step @p4215 :rule eq-symm :args (@t1466 @t19)) % 1.02/1.26 (step @p4216 :rule nary_cong :premises (@p4040 @p4215) :args (@t2724)) % 1.02/1.26 (step @p4217 :rule cong :premises (@p4216) :args (@t2725)) % 1.02/1.26 (step @p4218 :rule cong :premises (@p4217) :args (@t2726)) % 1.02/1.26 (step @p4219 :rule refl :args (@t1467)) % 1.02/1.26 (step @p4220 :rule nary_cong :premises (@p4219 @p4218 @p4214 @p4213 @p4212) :args (@t2727)) % 1.02/1.26 (step @p4221 :rule aci_norm :args ((= @t2730 @t2727))) % 1.02/1.26 (step @p4222 :rule trans :premises (@p4221 @p4220)) % 1.02/1.26 (step @p4223 :rule cong :premises (@p4222) :args (@t2731)) % 1.02/1.26 (step @p4224 :rule quant-merge-prenex :args ((= (forall @t150 @t2732) @t2731))) % 1.02/1.26 (step @p4225 :rule alpha_equiv :args (@t2733 (@list @t1462 @t1461) (@list @t4 @t19))) % 1.02/1.26 (step @p4226 :rule alpha_equiv :args (@t2734 (@list @t1466) @t1906)) % 1.02/1.26 (step @p4227 :rule nary_cong :premises (@p4226 @p4225) :args (@t2735)) % 1.02/1.26 (step @p4228 :rule quant-miniscope-or :args ((= @t2732 @t2735))) % 1.02/1.26 (step @p4229 :rule trans :premises (@p4228 @p4227)) % 1.02/1.26 (step @p4230 :rule symm :premises (@p4229)) % 1.02/1.26 (step @p4231 :rule cong :premises (@p4230) :args ((forall @t150 (or @t1476 @t1483)))) % 1.02/1.26 (step @p4232 :rule trans :premises (@p4231 @p4224)) % 1.02/1.26 (step @p4233 :rule trans :premises (@p4232 @p4223)) % 1.02/1.26 (step @p4234 :rule refl :args (@t1483)) % 1.02/1.26 (step @p4235 :rule nary_cong :premises (@p4108 @p4234) :args ((or @t2680 @t1483))) % 1.02/1.26 (step @p4236 :rule bool-impl-elim :args (@t1477 @t1483)) % 1.02/1.26 (step @p4237 :rule trans :premises (@p4236 @p4235)) % 1.02/1.26 (step @p4238 :rule cong :premises (@p4237) :args ((forall @t150 (=> @t1477 @t1483)))) % 1.02/1.26 (step @p4239 :rule trans :premises (@p4238 @p4233)) % 1.02/1.26 (step @p4240 :rule nary_cong :premises (@p1847 @p1883 @p1422) :args (@t2234)) % 1.02/1.26 (step @p4241 :rule cong :premises (@p4240) :args ((forall @t135 @t2234))) % 1.02/1.26 (step @p4242 :rule cong :premises (@p1906) :args (@t344)) % 1.02/1.26 (step @p4243 :rule trans :premises (@p4242 @p4241)) % 1.02/1.26 (step @p4244 :rule cong :premises (@p4160 @p4243) :args (@t2736)) % 1.02/1.26 (step @p4245 :rule cong :premises (@p4244) :args (@t2737)) % 1.02/1.26 (step @p4246 :rule trans :premises (@p4245 @p4239)) % 1.02/1.26 (step @p4247 :rule refl :args (tptp.exuEu)) % 1.02/1.26 (step @p4248 :rule cong :premises (@p4247 @p4246) :args ((= tptp.exuEu @t2737))) % 1.02/1.26 (step @p4249 :rule refl :args (@t344)) % 1.02/1.26 (step @p4250 :rule cong :premises (@p4203 @p4249) :args (@t363)) % 1.02/1.26 (step @p4251 :rule cong :premises (@p4250) :args (@t364)) % 1.02/1.26 (step @p4252 :rule cong :premises (@p4247 @p4251) :args (@t400)) % 1.02/1.26 (step @p4253 :rule trans :premises (@p4252 @p4248)) % 1.02/1.26 (step @p4254 :rule eq_resolve :premises (@p73 @p4253)) % 1.02/1.26 (step @p4255 :rule cong :premises (@p4254 @p4211) :args (@t2738)) % 1.02/1.26 (step @p4256 :rule bool-eq-true :args (tptp.omega__Cong)) % 1.02/1.26 (step @p4257 :rule symm :premises (@p4256)) % 1.02/1.26 (step @p4258 :rule eq-refl :args (tptp.omega)) % 1.02/1.26 (step @p4259 :rule refl :args (tptp.omega__Cong)) % 1.02/1.26 (step @p4260 :rule cong :premises (@p4259 @p4258) :args (@t399)) % 1.02/1.26 (step @p4261 :rule trans :premises (@p4260 @p4256)) % 1.02/1.26 (step @p4262 :rule eq_resolve :premises (@p72 @p4261)) % 1.02/1.26 (step @p4263 :rule eq_resolve :premises (@p4262 @p4257)) % 1.02/1.26 (step @p4264 :rule cong :premises (@p4263 @p4255) :args (@t2739)) % 1.02/1.26 (step @p4265 :rule bool-eq-true :args (tptp.setunion__Cong)) % 1.02/1.26 (step @p4266 :rule symm :premises (@p4265)) % 1.02/1.26 (step @p4267 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 1.02/1.26 (step @p4268 :rule evaluate :args ((or false true))) % 1.02/1.26 (step @p4269 :rule eq-refl :args (@t2740)) % 1.02/1.26 (step @p4270 :rule nary_cong :premises (@p3726 @p4269) :args (@t2741)) % 1.02/1.26 (step @p4271 :rule trans :premises (@p4270 @p4268)) % 1.02/1.26 (step @p4272 :rule cong :premises (@p4271) :args ((forall @t41 @t2741))) % 1.02/1.26 (step @p4273 :rule trans :premises (@p4272 @p4267)) % 1.02/1.26 (step @p4274 :rule quant-var-elim-eq :args ((= (forall @t64 @t2743) @t2741))) % 1.02/1.26 (step @p4275 :rule aci_norm :args ((= @t2744 @t2743))) % 1.02/1.26 (step @p4276 :rule cong :premises (@p4275) :args (@t2745)) % 1.02/1.26 (step @p4277 :rule trans :premises (@p4276 @p4274)) % 1.02/1.26 (step @p4278 :rule cong :premises (@p4277) :args (@t2746)) % 1.02/1.26 (step @p4279 :rule quant-merge-prenex :args ((= @t2746 @t2747))) % 1.02/1.26 (step @p4280 :rule symm :premises (@p4279)) % 1.02/1.26 (step @p4281 :rule quant_var_reordering :args ((= (forall @t12 @t2744) @t2747))) % 1.02/1.26 (step @p4282 :rule trans :premises (@p4281 @p4280 @p4278)) % 1.02/1.26 (step @p4283 :rule trans :premises (@p4282 @p4273)) % 1.02/1.26 (step @p4284 :rule refl :args (@t2740)) % 1.02/1.26 (step @p4285 :rule refl :args (@t395)) % 1.02/1.26 (step @p4286 :rule cong :premises (@p4285 @p4284) :args ((= @t395 @t2740))) % 1.02/1.26 (step @p4287 :rule symm :premises (@p4286)) % 1.02/1.26 (step @p4288 :rule eq_resolve :premises (@p4285 @p4287)) % 1.02/1.26 (step @p4289 :rule cong :premises (@p2210 @p4288) :args (@t396)) % 1.02/1.26 (step @p4290 :rule nary_cong :premises (@p3741 @p4289) :args (@t2748)) % 1.02/1.26 (step @p4291 :rule cong :premises (@p4290) :args ((forall @t12 @t2748))) % 1.02/1.26 (step @p4292 :rule trans :premises (@p4291 @p4283)) % 1.02/1.26 (step @p4293 :rule bool-impl-elim :args (@t3 @t396)) % 1.02/1.26 (step @p4294 :rule cong :premises (@p4293) :args (@t397)) % 1.02/1.26 (step @p4295 :rule trans :premises (@p4294 @p4292)) % 1.02/1.26 (step @p4296 :rule refl :args (tptp.setunion__Cong)) % 1.02/1.26 (step @p4297 :rule cong :premises (@p4296 @p4295) :args (@t398)) % 1.02/1.26 (step @p4298 :rule trans :premises (@p4297 @p4265)) % 1.02/1.26 (step @p4299 :rule eq_resolve :premises (@p71 @p4298)) % 1.02/1.26 (step @p4300 :rule eq_resolve :premises (@p4299 @p4266)) % 1.02/1.26 (step @p4301 :rule cong :premises (@p4300 @p4264) :args (@t2749)) % 1.02/1.26 (step @p4302 :rule bool-eq-true :args (tptp.powerset__Cong)) % 1.02/1.26 (step @p4303 :rule symm :premises (@p4302)) % 1.02/1.26 (step @p4304 :rule eq-refl :args (@t1402)) % 1.02/1.26 (step @p4305 :rule nary_cong :premises (@p3726 @p4304) :args (@t2750)) % 1.02/1.26 (step @p4306 :rule trans :premises (@p4305 @p4268)) % 1.02/1.26 (step @p4307 :rule cong :premises (@p4306) :args ((forall @t41 @t2750))) % 1.02/1.26 (step @p4308 :rule trans :premises (@p4307 @p4267)) % 1.02/1.26 (step @p4309 :rule quant-var-elim-eq :args ((= (forall @t64 @t2752) @t2750))) % 1.02/1.26 (step @p4310 :rule aci_norm :args ((= @t2753 @t2752))) % 1.02/1.26 (step @p4311 :rule cong :premises (@p4310) :args (@t2754)) % 1.02/1.26 (step @p4312 :rule trans :premises (@p4311 @p4309)) % 1.02/1.26 (step @p4313 :rule cong :premises (@p4312) :args (@t2755)) % 1.02/1.26 (step @p4314 :rule quant-merge-prenex :args ((= @t2755 @t2756))) % 1.02/1.26 (step @p4315 :rule symm :premises (@p4314)) % 1.02/1.26 (step @p4316 :rule quant_var_reordering :args ((= (forall @t12 @t2753) @t2756))) % 1.02/1.26 (step @p4317 :rule trans :premises (@p4316 @p4315 @p4313)) % 1.02/1.26 (step @p4318 :rule trans :premises (@p4317 @p4308)) % 1.02/1.26 (step @p4319 :rule cong :premises (@p2636 @p3528) :args (@t392)) % 1.02/1.26 (step @p4320 :rule nary_cong :premises (@p3741 @p4319) :args (@t2757)) % 1.02/1.26 (step @p4321 :rule cong :premises (@p4320) :args ((forall @t12 @t2757))) % 1.02/1.26 (step @p4322 :rule trans :premises (@p4321 @p4318)) % 1.02/1.26 (step @p4323 :rule bool-impl-elim :args (@t3 @t392)) % 1.02/1.26 (step @p4324 :rule cong :premises (@p4323) :args (@t393)) % 1.02/1.26 (step @p4325 :rule trans :premises (@p4324 @p4322)) % 1.02/1.26 (step @p4326 :rule refl :args (tptp.powerset__Cong)) % 1.02/1.26 (step @p4327 :rule cong :premises (@p4326 @p4325) :args (@t394)) % 1.02/1.26 (step @p4328 :rule trans :premises (@p4327 @p4302)) % 1.02/1.26 (step @p4329 :rule eq_resolve :premises (@p70 @p4328)) % 1.02/1.26 (step @p4330 :rule eq_resolve :premises (@p4329 @p4303)) % 1.02/1.26 (step @p4331 :rule cong :premises (@p4330 @p4301) :args (@t2758)) % 1.02/1.26 (step @p4332 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 1.02/1.26 (step @p4333 :rule symm :premises (@p4332)) % 1.02/1.26 (step @p4334 :rule quant-unused-vars :args ((= (forall @t2760 true) true))) % 1.02/1.26 (step @p4335 :rule eq-refl :args (@t2761)) % 1.02/1.26 (step @p4336 :rule nary_cong :premises (@p1475 @p4335) :args (@t2762)) % 1.02/1.26 (step @p4337 :rule trans :premises (@p4336 @p4268)) % 1.02/1.26 (step @p4338 :rule cong :premises (@p4337) :args ((forall @t2760 @t2762))) % 1.02/1.26 (step @p4339 :rule trans :premises (@p4338 @p4334)) % 1.02/1.26 (step @p4340 :rule quant-var-elim-eq :args ((= (forall @t9 @t2764) @t2762))) % 1.02/1.26 (step @p4341 :rule aci_norm :args ((= @t2765 @t2764))) % 1.02/1.26 (step @p4342 :rule cong :premises (@p4341) :args (@t2766)) % 1.02/1.26 (step @p4343 :rule trans :premises (@p4342 @p4340)) % 1.02/1.26 (step @p4344 :rule cong :premises (@p4343) :args (@t2767)) % 1.02/1.26 (step @p4345 :rule quant-merge-prenex :args ((= @t2767 @t2768))) % 1.02/1.26 (step @p4346 :rule symm :premises (@p4345)) % 1.02/1.26 (step @p4347 :rule quant_var_reordering :args ((= @t2769 @t2768))) % 1.02/1.26 (step @p4348 :rule trans :premises (@p4347 @p4346 @p4344)) % 1.02/1.26 (step @p4349 :rule trans :premises (@p4348 @p4339)) % 1.02/1.26 (step @p4350 :rule quant-merge-prenex :args ((= (forall @t135 @t2771) @t2769))) % 1.02/1.26 (step @p4351 :rule alpha_equiv :args (@t2772 (@list @t2759) (@list @t381))) % 1.02/1.26 (step @p4352 :rule nary_cong :premises (@p1500 @p4351) :args (@t2773)) % 1.02/1.26 (step @p4353 :rule quant-miniscope-or :args ((= @t2771 @t2773))) % 1.02/1.26 (step @p4354 :rule trans :premises (@p4353 @p4352)) % 1.02/1.26 (step @p4355 :rule symm :premises (@p4354)) % 1.02/1.26 (step @p4356 :rule cong :premises (@p4355) :args ((forall @t135 (or @t282 @t2777)))) % 1.02/1.26 (step @p4357 :rule trans :premises (@p4356 @p4350)) % 1.02/1.26 (step @p4358 :rule trans :premises (@p4357 @p4349)) % 1.02/1.26 (step @p4359 :rule bool-impl-elim :args (@t129 @t2777)) % 1.02/1.26 (step @p4360 :rule cong :premises (@p4359) :args ((forall @t135 (=> @t129 @t2777)))) % 1.02/1.26 (step @p4361 :rule trans :premises (@p4360 @p4358)) % 1.02/1.26 (step @p4362 :rule aci_norm :args ((= (or false @t2776) @t2776))) % 1.02/1.26 (step @p4363 :rule eq-symm :args (@t2774 @t2775)) % 1.02/1.26 (step @p4364 :rule nary_cong :premises (@p1439 @p4363) :args (@t2778)) % 1.02/1.26 (step @p4365 :rule trans :premises (@p4364 @p4362)) % 1.02/1.26 (step @p4366 :rule cong :premises (@p4365) :args ((forall @t751 @t2778))) % 1.02/1.26 (step @p4367 :rule quant-var-elim-eq :args ((= (forall @t2082 @t2781) @t2778))) % 1.02/1.26 (step @p4368 :rule aci_norm :args ((= @t2782 @t2781))) % 1.02/1.26 (step @p4369 :rule cong :premises (@p4368) :args (@t2783)) % 1.02/1.26 (step @p4370 :rule trans :premises (@p4369 @p4367)) % 1.02/1.26 (step @p4371 :rule cong :premises (@p4370) :args (@t2784)) % 1.02/1.26 (step @p4372 :rule quant-merge-prenex :args ((= @t2784 @t2785))) % 1.02/1.26 (step @p4373 :rule symm :premises (@p4372)) % 1.02/1.26 (step @p4374 :rule quant_var_reordering :args ((= (forall @t386 @t2782) @t2785))) % 1.02/1.26 (step @p4375 :rule trans :premises (@p4374 @p4373 @p4371)) % 1.02/1.26 (step @p4376 :rule trans :premises (@p4375 @p4366)) % 1.02/1.26 (step @p4377 :rule refl :args (@t2775)) % 1.02/1.26 (step @p4378 :rule refl :args (@t382)) % 1.02/1.26 (step @p4379 :rule cong :premises (@p4378 @p4377) :args ((= @t382 @t2775))) % 1.02/1.26 (step @p4380 :rule symm :premises (@p4379)) % 1.02/1.26 (step @p4381 :rule eq_resolve :premises (@p4378 @p4380)) % 1.02/1.26 (step @p4382 :rule refl :args (@t2779)) % 1.02/1.26 (step @p4383 :rule refl :args (@t383)) % 1.02/1.26 (step @p4384 :rule cong :premises (@p4383 @p4382) :args ((= @t383 @t2779))) % 1.02/1.26 (step @p4385 :rule symm :premises (@p4384)) % 1.02/1.26 (step @p4386 :rule eq_resolve :premises (@p4383 @p4385)) % 1.02/1.26 (step @p4387 :rule cong :premises (@p4386 @p4381) :args (@t384)) % 1.02/1.26 (step @p4388 :rule nary_cong :premises (@p1454 @p4387) :args (@t2786)) % 1.02/1.26 (step @p4389 :rule cong :premises (@p4388) :args ((forall @t386 @t2786))) % 1.02/1.26 (step @p4390 :rule trans :premises (@p4389 @p4376)) % 1.02/1.26 (step @p4391 :rule bool-impl-elim :args (@t385 @t384)) % 1.02/1.26 (step @p4392 :rule cong :premises (@p4391) :args (@t387)) % 1.02/1.26 (step @p4393 :rule trans :premises (@p4392 @p4390)) % 1.02/1.26 (step @p4394 :rule cong :premises (@p1534 @p4393) :args (@t388)) % 1.02/1.26 (step @p4395 :rule cong :premises (@p4394) :args (@t389)) % 1.02/1.26 (step @p4396 :rule trans :premises (@p4395 @p4361)) % 1.02/1.26 (step @p4397 :rule refl :args (tptp.setadjoin__Cong)) % 1.02/1.26 (step @p4398 :rule cong :premises (@p4397 @p4396) :args (@t390)) % 1.02/1.26 (step @p4399 :rule trans :premises (@p4398 @p4332)) % 1.02/1.26 (step @p4400 :rule eq_resolve :premises (@p69 @p4399)) % 1.02/1.26 (step @p4401 :rule eq_resolve :premises (@p4400 @p4333)) % 1.02/1.26 (step @p4402 :rule cong :premises (@p4401 @p4331) :args (@t2787)) % 1.02/1.26 (step @p4403 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 1.02/1.26 (step @p4404 :rule symm :premises (@p4403)) % 1.02/1.26 (step @p4405 :rule eq-refl :args (tptp.emptyset)) % 1.02/1.26 (step @p4406 :rule refl :args (tptp.emptyset__Cong)) % 1.02/1.26 (step @p4407 :rule cong :premises (@p4406 @p4405) :args (@t380)) % 1.02/1.26 (step @p4408 :rule trans :premises (@p4407 @p4403)) % 1.02/1.26 (step @p4409 :rule eq_resolve :premises (@p68 @p4408)) % 1.02/1.26 (step @p4410 :rule eq_resolve :premises (@p4409 @p4404)) % 1.02/1.26 (step @p4411 :rule cong :premises (@p4410 @p4402) :args (@t2788)) % 1.02/1.26 (step @p4412 :rule bool-impl-elim :args (@t1457 @t1478)) % 1.02/1.26 (step @p4413 :rule cong :premises (@p4412) :args ((forall @t376 (=> @t1457 @t1478)))) % 1.02/1.26 (step @p4414 :rule cong :premises (@p4160 @p4140) :args (@t2789)) % 1.02/1.26 (step @p4415 :rule cong :premises (@p4181 @p4414) :args (@t2790)) % 1.02/1.26 (step @p4416 :rule cong :premises (@p4415) :args (@t2791)) % 1.02/1.26 (step @p4417 :rule trans :premises (@p4416 @p4413)) % 1.02/1.26 (step @p4418 :rule refl :args (tptp.exu__Cong)) % 1.02/1.26 (step @p4419 :rule cong :premises (@p4418 @p4417) :args ((= tptp.exu__Cong @t2791))) % 1.02/1.26 (step @p4420 :rule cong :premises (@p4203 @p4201) :args (@t370)) % 1.02/1.26 (step @p4421 :rule cong :premises (@p4205 @p4420) :args (@t375)) % 1.02/1.26 (step @p4422 :rule cong :premises (@p4421) :args (@t377)) % 1.02/1.26 (step @p4423 :rule cong :premises (@p4418 @p4422) :args (@t378)) % 1.02/1.26 (step @p4424 :rule trans :premises (@p4423 @p4419)) % 1.02/1.26 (step @p4425 :rule eq_resolve :premises (@p67 @p4424)) % 1.02/1.26 (step @p4426 :rule cong :premises (@p4425 @p4411) :args (@t2792)) % 1.02/1.26 (step @p4427 :rule refl :args (tptp.exuE3u)) % 1.02/1.26 (step @p4428 :rule cong :premises (@p4427 @p4246) :args ((= tptp.exuE3u @t2737))) % 1.02/1.26 (step @p4429 :rule cong :premises (@p4427 @p4251) :args (@t365)) % 1.02/1.26 (step @p4430 :rule trans :premises (@p4429 @p4428)) % 1.02/1.26 (step @p4431 :rule eq_resolve :premises (@p66 @p4430)) % 1.02/1.26 (step @p4432 :rule cong :premises (@p4431 @p4426) :args (@t2793)) % 1.02/1.26 (step @p4433 :rule bool-eq-true :args (tptp.in__Cong)) % 1.02/1.26 (step @p4434 :rule symm :premises (@p4433)) % 1.02/1.26 (step @p4435 :rule quant-unused-vars :args ((= (forall @t2795 true) true))) % 1.02/1.26 (step @p4436 :rule eq-refl :args (@t2796)) % 1.02/1.26 (step @p4437 :rule nary_cong :premises (@p3726 @p4436) :args (@t2797)) % 1.02/1.26 (step @p4438 :rule trans :premises (@p4437 @p4268)) % 1.02/1.26 (step @p4439 :rule cong :premises (@p4438) :args ((forall @t2795 @t2797))) % 1.02/1.26 (step @p4440 :rule trans :premises (@p4439 @p4435)) % 1.02/1.26 (step @p4441 :rule quant-var-elim-eq :args ((= (forall @t64 @t2799) @t2797))) % 1.02/1.26 (step @p4442 :rule aci_norm :args ((= @t2800 @t2799))) % 1.02/1.26 (step @p4443 :rule cong :premises (@p4442) :args (@t2801)) % 1.02/1.26 (step @p4444 :rule trans :premises (@p4443 @p4441)) % 1.02/1.26 (step @p4445 :rule cong :premises (@p4444) :args (@t2802)) % 1.02/1.26 (step @p4446 :rule quant-merge-prenex :args ((= @t2802 @t2803))) % 1.02/1.26 (step @p4447 :rule symm :premises (@p4446)) % 1.02/1.26 (step @p4448 :rule quant_var_reordering :args ((= @t2804 @t2803))) % 1.02/1.26 (step @p4449 :rule trans :premises (@p4448 @p4447 @p4445)) % 1.02/1.26 (step @p4450 :rule trans :premises (@p4449 @p4440)) % 1.02/1.26 (step @p4451 :rule quant-merge-prenex :args ((= (forall @t12 @t2806) @t2804))) % 1.02/1.26 (step @p4452 :rule alpha_equiv :args (@t2807 (@list @t2794) @t1901)) % 1.02/1.26 (step @p4453 :rule nary_cong :premises (@p3741 @p4452) :args (@t2808)) % 1.02/1.26 (step @p4454 :rule quant-miniscope-or :args ((= @t2806 @t2808))) % 1.02/1.26 (step @p4455 :rule trans :premises (@p4454 @p4453)) % 1.02/1.26 (step @p4456 :rule symm :premises (@p4455)) % 1.02/1.26 (step @p4457 :rule cong :premises (@p4456) :args ((forall @t12 (or @t443 @t2810)))) % 1.02/1.26 (step @p4458 :rule trans :premises (@p4457 @p4451)) % 1.02/1.26 (step @p4459 :rule trans :premises (@p4458 @p4450)) % 1.02/1.26 (step @p4460 :rule bool-impl-elim :args (@t3 @t2810)) % 1.02/1.26 (step @p4461 :rule cong :premises (@p4460) :args ((forall @t12 (=> @t3 @t2810)))) % 1.02/1.26 (step @p4462 :rule trans :premises (@p4461 @p4459)) % 1.02/1.26 (step @p4463 :rule aci_norm :args ((= (or false @t2809) @t2809))) % 1.02/1.26 (step @p4464 :rule eq-symm :args (@t1236 @t1136)) % 1.02/1.26 (step @p4465 :rule nary_cong :premises (@p1475 @p4464) :args (@t2811)) % 1.02/1.26 (step @p4466 :rule trans :premises (@p4465 @p4463)) % 1.02/1.26 (step @p4467 :rule cong :premises (@p4466) :args ((forall @t70 @t2811))) % 1.02/1.26 (step @p4468 :rule quant-var-elim-eq :args ((= (forall @t9 @t2813) @t2811))) % 1.02/1.26 (step @p4469 :rule aci_norm :args ((= @t2814 @t2813))) % 1.02/1.26 (step @p4470 :rule cong :premises (@p4469) :args (@t2815)) % 1.02/1.26 (step @p4471 :rule trans :premises (@p4470 @p4468)) % 1.02/1.26 (step @p4472 :rule cong :premises (@p4471) :args (@t2816)) % 1.02/1.26 (step @p4473 :rule quant-merge-prenex :args ((= @t2816 @t2817))) % 1.02/1.26 (step @p4474 :rule symm :premises (@p4473)) % 1.02/1.26 (step @p4475 :rule quant_var_reordering :args ((= (forall @t135 @t2814) @t2817))) % 1.02/1.26 (step @p4476 :rule trans :premises (@p4475 @p4474 @p4472)) % 1.02/1.26 (step @p4477 :rule trans :premises (@p4476 @p4467)) % 1.02/1.26 (step @p4478 :rule cong :premises (@p648 @p731) :args (@t358)) % 1.02/1.26 (step @p4479 :rule nary_cong :premises (@p1500 @p4478) :args (@t2818)) % 1.02/1.26 (step @p4480 :rule cong :premises (@p4479) :args ((forall @t135 @t2818))) % 1.02/1.26 (step @p4481 :rule trans :premises (@p4480 @p4477)) % 1.02/1.26 (step @p4482 :rule bool-impl-elim :args (@t129 @t358)) % 1.02/1.26 (step @p4483 :rule cong :premises (@p4482) :args (@t359)) % 1.02/1.26 (step @p4484 :rule trans :premises (@p4483 @p4481)) % 1.02/1.26 (step @p4485 :rule cong :premises (@p4025 @p4484) :args (@t360)) % 1.02/1.26 (step @p4486 :rule cong :premises (@p4485) :args (@t361)) % 1.02/1.26 (step @p4487 :rule trans :premises (@p4486 @p4462)) % 1.02/1.26 (step @p4488 :rule refl :args (tptp.in__Cong)) % 1.02/1.26 (step @p4489 :rule cong :premises (@p4488 @p4487) :args (@t362)) % 1.02/1.26 (step @p4490 :rule trans :premises (@p4489 @p4433)) % 1.02/1.26 (step @p4491 :rule eq_resolve :premises (@p65 @p4490)) % 1.02/1.26 (step @p4492 :rule eq_resolve :premises (@p4491 @p4434)) % 1.02/1.26 (step @p4493 :rule cong :premises (@p4492 @p4432) :args (@t2819)) % 1.02/1.26 (step @p4494 :rule bool-eq-true :args (tptp.inCongP)) % 1.02/1.26 (step @p4495 :rule symm :premises (@p4494)) % 1.02/1.26 (step @p4496 :rule quant-unused-vars :args ((= (forall @t2821 true) true))) % 1.02/1.26 (step @p4497 :rule bool-or-taut2 :args (false @t2822 false false)) % 1.02/1.26 (step @p4498 :rule cong :premises (@p4497) :args ((forall @t2821 @t2824))) % 1.02/1.26 (step @p4499 :rule trans :premises (@p4498 @p4496)) % 1.02/1.26 (step @p4500 :rule aci_norm :args ((= (or false @t2823 @t2822) @t2824))) % 1.02/1.26 (step @p4501 :rule refl :args (@t2822)) % 1.02/1.26 (step @p4502 :rule refl :args (@t2823)) % 1.02/1.26 (step @p4503 :rule nary_cong :premises (@p3726 @p4502 @p4501) :args (@t2825)) % 1.02/1.26 (step @p4504 :rule trans :premises (@p4503 @p4500)) % 1.02/1.26 (step @p4505 :rule cong :premises (@p4504) :args ((forall @t2821 @t2825))) % 1.02/1.26 (step @p4506 :rule trans :premises (@p4505 @p4499)) % 1.02/1.26 (step @p4507 :rule quant-var-elim-eq :args ((= (forall @t64 @t2827) @t2825))) % 1.02/1.26 (step @p4508 :rule aci_norm :args ((= @t2828 @t2827))) % 1.02/1.26 (step @p4509 :rule cong :premises (@p4508) :args (@t2829)) % 1.02/1.26 (step @p4510 :rule trans :premises (@p4509 @p4507)) % 1.02/1.26 (step @p4511 :rule cong :premises (@p4510) :args (@t2830)) % 1.02/1.26 (step @p4512 :rule quant-merge-prenex :args ((= @t2830 @t2831))) % 1.02/1.26 (step @p4513 :rule symm :premises (@p4512)) % 1.02/1.26 (step @p4514 :rule quant_var_reordering :args ((= (forall @t2832 @t2828) @t2831))) % 1.02/1.26 (step @p4515 :rule trans :premises (@p4514 @p4513 @p4511)) % 1.02/1.26 (step @p4516 :rule trans :premises (@p4515 @p4506)) % 1.02/1.26 (step @p4517 :rule aci_norm :args ((= @t2834 @t2828))) % 1.02/1.26 (step @p4518 :rule cong :premises (@p4517) :args (@t2835)) % 1.02/1.26 (step @p4519 :rule trans :premises (@p4518 @p4516)) % 1.02/1.26 (step @p4520 :rule quant-merge-prenex :args ((= (forall @t12 @t2837) @t2835))) % 1.02/1.26 (step @p4521 :rule alpha_equiv :args (@t2838 (@list @t2820) @t1901)) % 1.02/1.26 (step @p4522 :rule nary_cong :premises (@p3741 @p4521) :args (@t2839)) % 1.02/1.26 (step @p4523 :rule quant-miniscope-or :args ((= @t2837 @t2839))) % 1.02/1.26 (step @p4524 :rule trans :premises (@p4523 @p4522)) % 1.02/1.26 (step @p4525 :rule symm :premises (@p4524)) % 1.02/1.26 (step @p4526 :rule cong :premises (@p4525) :args ((forall @t12 (or @t443 @t2841)))) % 1.02/1.26 (step @p4527 :rule trans :premises (@p4526 @p4520)) % 1.02/1.26 (step @p4528 :rule trans :premises (@p4527 @p4519)) % 1.02/1.26 (step @p4529 :rule bool-impl-elim :args (@t3 @t2841)) % 1.02/1.26 (step @p4530 :rule cong :premises (@p4529) :args ((forall @t12 (=> @t3 @t2841)))) % 1.02/1.26 (step @p4531 :rule trans :premises (@p4530 @p4528)) % 1.02/1.26 (step @p4532 :rule aci_norm :args ((= (or false @t1237 @t1136) @t2840))) % 1.02/1.26 (step @p4533 :rule refl :args (@t1136)) % 1.02/1.26 (step @p4534 :rule refl :args (@t1237)) % 1.02/1.26 (step @p4535 :rule nary_cong :premises (@p1475 @p4534 @p4533) :args (@t2842)) % 1.02/1.26 (step @p4536 :rule trans :premises (@p4535 @p4532)) % 1.02/1.26 (step @p4537 :rule cong :premises (@p4536) :args ((forall @t70 @t2842))) % 1.02/1.26 (step @p4538 :rule quant-var-elim-eq :args ((= (forall @t9 @t2843) @t2842))) % 1.02/1.26 (step @p4539 :rule aci_norm :args ((= @t2844 @t2843))) % 1.02/1.26 (step @p4540 :rule cong :premises (@p4539) :args (@t2845)) % 1.02/1.26 (step @p4541 :rule trans :premises (@p4540 @p4538)) % 1.02/1.26 (step @p4542 :rule cong :premises (@p4541) :args (@t2846)) % 1.02/1.26 (step @p4543 :rule quant-merge-prenex :args ((= @t2846 @t2847))) % 1.02/1.26 (step @p4544 :rule symm :premises (@p4543)) % 1.02/1.26 (step @p4545 :rule quant_var_reordering :args ((= (forall @t135 @t2844) @t2847))) % 1.02/1.26 (step @p4546 :rule trans :premises (@p4545 @p4544 @p4542)) % 1.02/1.26 (step @p4547 :rule trans :premises (@p4546 @p4537)) % 1.02/1.26 (step @p4548 :rule nary_cong :premises (@p1500 @p649 @p731) :args (@t2848)) % 1.02/1.26 (step @p4549 :rule cong :premises (@p4548) :args ((forall @t135 @t2848))) % 1.02/1.26 (step @p4550 :rule trans :premises (@p4549 @p4547)) % 1.02/1.26 (step @p4551 :rule aci_norm :args ((= (or @t282 (or @t197 @t352)) @t2848))) % 1.02/1.26 (step @p4552 :rule bool-impl-elim :args (@t7 @t352)) % 1.02/1.26 (step @p4553 :rule nary_cong :premises (@p1500 @p4552) :args ((or @t282 @t353))) % 1.02/1.26 (step @p4554 :rule trans :premises (@p4553 @p4551)) % 1.02/1.26 (step @p4555 :rule bool-impl-elim :args (@t129 @t353)) % 1.02/1.26 (step @p4556 :rule trans :premises (@p4555 @p4554)) % 1.02/1.26 (step @p4557 :rule cong :premises (@p4556) :args (@t354)) % 1.02/1.26 (step @p4558 :rule trans :premises (@p4557 @p4550)) % 1.02/1.26 (step @p4559 :rule cong :premises (@p4025 @p4558) :args (@t355)) % 1.02/1.26 (step @p4560 :rule cong :premises (@p4559) :args (@t356)) % 1.02/1.26 (step @p4561 :rule trans :premises (@p4560 @p4531)) % 1.02/1.26 (step @p4562 :rule refl :args (tptp.inCongP)) % 1.02/1.26 (step @p4563 :rule cong :premises (@p4562 @p4561) :args (@t357)) % 1.02/1.26 (step @p4564 :rule trans :premises (@p4563 @p4494)) % 1.02/1.26 (step @p4565 :rule eq_resolve :premises (@p64 @p4564)) % 1.02/1.26 (step @p4566 :rule eq_resolve :premises (@p4565 @p4495)) % 1.02/1.26 (step @p4567 :rule cong :premises (@p4566 @p4493) :args (@t2849)) % 1.02/1.26 (step @p4568 :rule refl :args (@t1477)) % 1.02/1.26 (step @p4569 :rule eq-symm :args (@t1480 @t19)) % 1.02/1.26 (step @p4570 :rule refl :args (@t1234)) % 1.02/1.26 (step @p4571 :rule cong :premises (@p4570 @p4569) :args ((= @t1234 @t2850))) % 1.02/1.26 (step @p4572 :rule eq-symm :args (@t2850 @t1234)) % 1.02/1.26 (step @p4573 :rule trans :premises (@p4572 @p4571)) % 1.02/1.26 (step @p4574 :rule cong :premises (@p4573) :args (@t2851)) % 1.02/1.26 (step @p4575 :rule cong :premises (@p4574) :args (@t2852)) % 1.02/1.26 (step @p4576 :rule nary_cong :premises (@p4575 @p4568) :args (@t2853)) % 1.02/1.26 (step @p4577 :rule cong :premises (@p4576) :args (@t2854)) % 1.02/1.26 (step @p4578 :rule quant-merge-prenex :args ((= (forall @t150 @t2856) @t2854))) % 1.02/1.26 (step @p4579 :rule refl :args (@t1477)) % 1.02/1.26 (step @p4580 :rule alpha_equiv :args (@t2857 (@list @t1480) @t1906)) % 1.02/1.26 (step @p4581 :rule nary_cong :premises (@p4580 @p4579) :args (@t2858)) % 1.02/1.26 (step @p4582 :rule quant-miniscope-or :args ((= @t2856 @t2858))) % 1.02/1.26 (step @p4583 :rule trans :premises (@p4582 @p4581)) % 1.02/1.26 (step @p4584 :rule symm :premises (@p4583)) % 1.02/1.26 (step @p4585 :rule cong :premises (@p4584) :args ((forall @t150 (or @t1531 @t1477)))) % 1.02/1.26 (step @p4586 :rule trans :premises (@p4585 @p4578)) % 1.02/1.26 (step @p4587 :rule trans :premises (@p4586 @p4577)) % 1.02/1.26 (step @p4588 :rule bool-double-not-elim :args (@t1531)) % 1.02/1.26 (step @p4589 :rule nary_cong :premises (@p4588 @p4579) :args ((or (not @t1532) @t1477))) % 1.02/1.26 (step @p4590 :rule bool-impl-elim :args (@t1532 @t1477)) % 1.02/1.26 (step @p4591 :rule trans :premises (@p4590 @p4589)) % 1.02/1.26 (step @p4592 :rule cong :premises (@p4591) :args ((forall @t150 (=> @t1532 @t1477)))) % 1.02/1.26 (step @p4593 :rule trans :premises (@p4592 @p4587)) % 1.02/1.26 (step @p4594 :rule exists-elim :args ((= (exists @t9 @t1530) @t1532))) % 1.02/1.26 (step @p4595 :rule eq-symm :args (@t1234 @t129)) % 1.02/1.26 (step @p4596 :rule cong :premises (@p4595) :args ((forall @t70 (= @t1234 @t129)))) % 1.02/1.26 (step @p4597 :rule cong :premises (@p1882 @p1422) :args (@t2859)) % 1.02/1.26 (step @p4598 :rule cong :premises (@p4597) :args ((forall @t70 @t2859))) % 1.02/1.26 (step @p4599 :rule trans :premises (@p4598 @p4596)) % 1.02/1.26 (step @p4600 :rule cong :premises (@p2057 @p2056) :args (@t263)) % 1.02/1.26 (step @p4601 :rule cong :premises (@p4600) :args (@t264)) % 1.02/1.26 (step @p4602 :rule trans :premises (@p4601 @p4599)) % 1.02/1.26 (step @p4603 :rule cong :premises (@p4602) :args (@t265)) % 1.02/1.26 (step @p4604 :rule trans :premises (@p4603 @p4594)) % 1.02/1.26 (step @p4605 :rule cong :premises (@p4604 @p4160) :args (@t2860)) % 1.02/1.26 (step @p4606 :rule cong :premises (@p4605) :args (@t2861)) % 1.02/1.26 (step @p4607 :rule trans :premises (@p4606 @p4593)) % 1.02/1.26 (step @p4608 :rule refl :args (tptp.exuI2)) % 1.02/1.26 (step @p4609 :rule cong :premises (@p4608 @p4607) :args ((= tptp.exuI2 @t2861))) % 1.02/1.26 (step @p4610 :rule refl :args (@t265)) % 1.02/1.26 (step @p4611 :rule cong :premises (@p4610 @p4203) :args (@t349)) % 1.02/1.26 (step @p4612 :rule cong :premises (@p4611) :args (@t350)) % 1.02/1.26 (step @p4613 :rule cong :premises (@p4608 @p4612) :args (@t351)) % 1.02/1.26 (step @p4614 :rule trans :premises (@p4613 @p4609)) % 1.02/1.26 (step @p4615 :rule eq_resolve :premises (@p63 @p4614)) % 1.02/1.26 (step @p4616 :rule cong :premises (@p4615 @p4567) :args (@t2862)) % 1.02/1.26 (step @p4617 :rule quant-merge-prenex :args ((= (forall @t150 @t2864) @t1488))) % 1.02/1.26 (step @p4618 :rule refl :args (@t1484)) % 1.02/1.26 (step @p4619 :rule alpha_equiv :args (@t2865 (@list @t1485) @t1906)) % 1.02/1.26 (step @p4620 :rule nary_cong :premises (@p4619 @p4618 @p4579) :args (@t2866)) % 1.02/1.26 (step @p4621 :rule quant-miniscope-or :args ((= @t2864 @t2866))) % 1.02/1.26 (step @p4622 :rule trans :premises (@p4621 @p4620)) % 1.02/1.26 (step @p4623 :rule symm :premises (@p4622)) % 1.02/1.26 (step @p4624 :rule cong :premises (@p4623) :args ((forall @t150 @t2867))) % 1.02/1.26 (step @p4625 :rule trans :premises (@p4624 @p4617)) % 1.02/1.26 (step @p4626 :rule aci_norm :args ((= (or @t1594 (or @t1484 @t1477)) @t2867))) % 1.02/1.26 (step @p4627 :rule bool-impl-elim :args (@t1483 @t1477)) % 1.02/1.26 (step @p4628 :rule refl :args (@t1594)) % 1.02/1.26 (step @p4629 :rule nary_cong :premises (@p4628 @p4627) :args ((or @t1594 @t2868))) % 1.02/1.26 (step @p4630 :rule trans :premises (@p4629 @p4626)) % 1.02/1.26 (step @p4631 :rule refl :args (@t2868)) % 1.02/1.26 (step @p4632 :rule bool-double-not-elim :args (@t1594)) % 1.02/1.26 (step @p4633 :rule nary_cong :premises (@p4632 @p4631) :args ((or (not @t1595) @t2868))) % 1.02/1.26 (step @p4634 :rule bool-impl-elim :args (@t1595 @t2868)) % 1.02/1.26 (step @p4635 :rule trans :premises (@p4634 @p4633)) % 1.02/1.26 (step @p4636 :rule trans :premises (@p4635 @p4630)) % 1.02/1.26 (step @p4637 :rule cong :premises (@p4636) :args ((forall @t150 (=> @t1595 @t2868)))) % 1.02/1.26 (step @p4638 :rule trans :premises (@p4637 @p4625)) % 1.02/1.26 (step @p4639 :rule cong :premises (@p4243 @p4160) :args (@t2869)) % 1.02/1.26 (step @p4640 :rule cong :premises (@p1847) :args (@t2870)) % 1.02/1.26 (step @p4641 :rule cong :premises (@p4640) :args (@t2871)) % 1.02/1.26 (step @p4642 :rule exists-elim :args ((= @t186 @t2871))) % 1.02/1.26 (step @p4643 :rule trans :premises (@p4642 @p4641)) % 1.02/1.26 (step @p4644 :rule cong :premises (@p4643 @p4639) :args (@t2872)) % 1.02/1.26 (step @p4645 :rule cong :premises (@p4644) :args (@t2873)) % 1.02/1.26 (step @p4646 :rule trans :premises (@p4645 @p4638)) % 1.02/1.26 (step @p4647 :rule refl :args (tptp.exuI3)) % 1.02/1.26 (step @p4648 :rule cong :premises (@p4647 @p4646) :args ((= tptp.exuI3 @t2873))) % 1.02/1.26 (step @p4649 :rule cong :premises (@p4249 @p4203) :args (@t345)) % 1.02/1.26 (step @p4650 :rule refl :args (@t186)) % 1.02/1.26 (step @p4651 :rule cong :premises (@p4650 @p4649) :args (@t346)) % 1.02/1.26 (step @p4652 :rule cong :premises (@p4651) :args (@t347)) % 1.02/1.26 (step @p4653 :rule cong :premises (@p4647 @p4652) :args (@t348)) % 1.02/1.26 (step @p4654 :rule trans :premises (@p4653 @p4648)) % 1.02/1.26 (step @p4655 :rule eq_resolve :premises (@p62 @p4654)) % 1.02/1.26 (step @p4656 :rule cong :premises (@p4655 @p4616) :args (@t2874)) % 1.02/1.26 (step @p4657 :rule bool-eq-true :args (tptp.exuI1)) % 1.02/1.26 (step @p4658 :rule symm :premises (@p4657)) % 1.02/1.26 (step @p4659 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 1.02/1.26 (step @p4660 :rule bool-or-taut :args (false @t1476 false false)) % 1.02/1.26 (step @p4661 :rule nary_cong :premises (@p4108 @p4579) :args ((or @t2680 @t1477))) % 1.02/1.26 (step @p4662 :rule bool-impl-elim :args (@t1477 @t1477)) % 1.02/1.26 (step @p4663 :rule trans :premises (@p4662 @p4661)) % 1.02/1.26 (step @p4664 :rule trans :premises (@p4663 @p4660)) % 1.02/1.26 (step @p4665 :rule cong :premises (@p4664) :args ((forall @t150 (=> @t1477 @t1477)))) % 1.02/1.26 (step @p4666 :rule trans :premises (@p4665 @p4659)) % 1.02/1.26 (step @p4667 :rule cong :premises (@p4198 @p4160) :args (@t2875)) % 1.02/1.26 (step @p4668 :rule cong :premises (@p4667) :args (@t2876)) % 1.02/1.26 (step @p4669 :rule trans :premises (@p4668 @p4666)) % 1.02/1.26 (step @p4670 :rule refl :args (tptp.exuI1)) % 1.02/1.26 (step @p4671 :rule cong :premises (@p4670 @p4669) :args ((= tptp.exuI1 @t2876))) % 1.02/1.26 (step @p4672 :rule trans :premises (@p4671 @p4657)) % 1.02/1.26 (step @p4673 :rule refl :args (@t169)) % 1.02/1.26 (step @p4674 :rule cong :premises (@p4673 @p4203) :args (@t340)) % 1.02/1.26 (step @p4675 :rule cong :premises (@p4674) :args (@t341)) % 1.02/1.26 (step @p4676 :rule cong :premises (@p4670 @p4675) :args (@t342)) % 1.02/1.26 (step @p4677 :rule trans :premises (@p4676 @p4672)) % 1.02/1.26 (step @p4678 :rule eq_resolve :premises (@p61 @p4677)) % 1.02/1.26 (step @p4679 :rule eq_resolve :premises (@p4678 @p4658)) % 1.02/1.26 (step @p4680 :rule cong :premises (@p4679 @p4656) :args (@t2877)) % 1.02/1.26 (step @p4681 :rule bool-eq-true :args (tptp.notdallE)) % 1.02/1.26 (step @p4682 :rule symm :premises (@p4681)) % 1.02/1.26 (step @p4683 :rule bool-eq-true :args (tptp.notdallE)) % 1.02/1.26 (step @p4684 :rule eq-symm :args (true tptp.notdallE)) % 1.02/1.26 (step @p4685 :rule trans :premises (@p4684 @p4683)) % 1.02/1.26 (step @p4686 :rule refl :args (tptp.notdallE)) % 1.02/1.26 (step @p4687 :rule quant-unused-vars :args ((= (forall @t309 true) true))) % 1.02/1.26 (step @p4688 :rule bool-or-taut :args (false @t2878 false false)) % 1.02/1.26 (step @p4689 :rule refl :args (@t2879)) % 1.02/1.26 (step @p4690 :rule bool-double-not-elim :args (@t2878)) % 1.02/1.26 (step @p4691 :rule nary_cong :premises (@p4690 @p4689) :args ((or (not @t2879) @t2879))) % 1.02/1.26 (step @p4692 :rule bool-impl-elim :args (@t2879 @t2879)) % 1.02/1.26 (step @p4693 :rule trans :premises (@p4692 @p4691)) % 1.02/1.26 (step @p4694 :rule trans :premises (@p4693 @p4688)) % 1.02/1.26 (step @p4695 :rule cong :premises (@p4694) :args ((forall @t309 (=> @t2879 @t2879)))) % 1.02/1.26 (step @p4696 :rule trans :premises (@p4695 @p4687)) % 1.02/1.26 (step @p4697 :rule nary_cong :premises (@p649 @p1846) :args (@t2880)) % 1.02/1.26 (step @p4698 :rule cong :premises (@p4697) :args ((forall @t9 @t2880))) % 1.02/1.26 (step @p4699 :rule bool-double-not-elim :args (@t144)) % 1.02/1.26 (step @p4700 :rule nary_cong :premises (@p806 @p4699) :args ((or @t197 (not @t315)))) % 1.02/1.26 (step @p4701 :rule bool-and-de-morgan :args (@t7 @t315 true)) % 1.02/1.26 (step @p4702 :rule trans :premises (@p4701 @p4700)) % 1.02/1.26 (step @p4703 :rule cong :premises (@p4702) :args (@t2881)) % 1.02/1.26 (step @p4704 :rule trans :premises (@p4703 @p4698)) % 1.02/1.26 (step @p4705 :rule cong :premises (@p4704) :args (@t2882)) % 1.02/1.26 (step @p4706 :rule exists-elim :args ((= @t317 @t2882))) % 1.02/1.26 (step @p4707 :rule trans :premises (@p4706 @p4705)) % 1.02/1.26 (step @p4708 :rule bool-impl-elim :args (@t7 @t144)) % 1.02/1.26 (step @p4709 :rule cong :premises (@p4708) :args (@t318)) % 1.02/1.26 (step @p4710 :rule trans :premises (@p4709 @p4698)) % 1.02/1.26 (step @p4711 :rule cong :premises (@p4710) :args (@t319)) % 1.02/1.26 (step @p4712 :rule cong :premises (@p4711 @p4707) :args (@t320)) % 1.02/1.26 (step @p4713 :rule cong :premises (@p4712) :args (@t321)) % 1.02/1.26 (step @p4714 :rule trans :premises (@p4713 @p4696)) % 1.02/1.26 (step @p4715 :rule cong :premises (@p4714 @p4686) :args ((= @t321 tptp.notdallE))) % 1.02/1.26 (step @p4716 :rule trans :premises (@p4715 @p4685)) % 1.02/1.26 (step @p4717 :rule eq-symm :args (tptp.notdallE @t321)) % 1.02/1.26 (step @p4718 :rule trans :premises (@p4717 @p4716)) % 1.02/1.26 (step @p4719 :rule eq_resolve :premises (@p60 @p4718)) % 1.02/1.26 (step @p4720 :rule eq_resolve :premises (@p4719 @p4682)) % 1.02/1.26 (step @p4721 :rule cong :premises (@p4720 @p4680) :args (@t2883)) % 1.02/1.26 (step @p4722 :rule bool-eq-true :args (tptp.notdexE)) % 1.02/1.26 (step @p4723 :rule symm :premises (@p4722)) % 1.02/1.26 (step @p4724 :rule bool-eq-true :args (tptp.notdexE)) % 1.02/1.26 (step @p4725 :rule eq-symm :args (true tptp.notdexE)) % 1.02/1.26 (step @p4726 :rule trans :premises (@p4725 @p4724)) % 1.02/1.26 (step @p4727 :rule refl :args (tptp.notdexE)) % 1.02/1.26 (step @p4728 :rule bool-or-taut2 :args (false @t1244 false false)) % 1.02/1.26 (step @p4729 :rule bool-impl-elim :args (@t1244 @t1244)) % 1.02/1.26 (step @p4730 :rule trans :premises (@p4729 @p4728)) % 1.02/1.26 (step @p4731 :rule cong :premises (@p4730) :args ((forall @t309 (=> @t1244 @t1244)))) % 1.02/1.26 (step @p4732 :rule trans :premises (@p4731 @p4687)) % 1.02/1.26 (step @p4733 :rule bool-impl-elim :args (@t7 @t315)) % 1.02/1.26 (step @p4734 :rule cong :premises (@p4733) :args (@t324)) % 1.02/1.26 (step @p4735 :rule trans :premises (@p4734 @p1849)) % 1.02/1.26 (step @p4736 :rule bool-double-not-elim :args (@t1244)) % 1.02/1.26 (step @p4737 :rule cong :premises (@p1855) :args (@t323)) % 1.02/1.26 (step @p4738 :rule trans :premises (@p4737 @p4736)) % 1.02/1.26 (step @p4739 :rule cong :premises (@p4738 @p4735) :args (@t328)) % 1.02/1.26 (step @p4740 :rule cong :premises (@p4739) :args (@t329)) % 1.02/1.26 (step @p4741 :rule trans :premises (@p4740 @p4732)) % 1.02/1.26 (step @p4742 :rule cong :premises (@p4741 @p4727) :args ((= @t329 tptp.notdexE))) % 1.02/1.26 (step @p4743 :rule trans :premises (@p4742 @p4726)) % 1.02/1.26 (step @p4744 :rule eq-symm :args (tptp.notdexE @t329)) % 1.02/1.26 (step @p4745 :rule trans :premises (@p4744 @p4743)) % 1.02/1.26 (step @p4746 :rule eq_resolve :premises (@p59 @p4745)) % 1.02/1.26 (step @p4747 :rule eq_resolve :premises (@p4746 @p4723)) % 1.02/1.26 (step @p4748 :rule cong :premises (@p4747 @p4721) :args (@t2884)) % 1.02/1.26 (step @p4749 :rule aci_norm :args ((= (or false @t1491) @t1491))) % 1.02/1.26 (step @p4750 :rule nary_cong :premises (@p1436 @p559) :args (@t2885)) % 1.02/1.26 (step @p4751 :rule trans :premises (@p4750 @p4749)) % 1.02/1.26 (step @p4752 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2888 @t2453 @t2887)) @t2885))) % 1.02/1.26 (step @p4753 :rule refl :args (@t2887)) % 1.02/1.26 (step @p4754 :rule bool-eq-true :args (@t173)) % 1.02/1.26 (step @p4755 :rule symm :premises (@p4754)) % 1.02/1.26 (step @p4756 :rule cong :premises (@p4755) :args (@t2453)) % 1.02/1.26 (step @p4757 :rule nary_cong :premises (@p4756 @p2889 @p4753) :args (@t2889)) % 1.02/1.26 (step @p4758 :rule aci_norm :args ((= @t2890 @t2889))) % 1.02/1.26 (step @p4759 :rule trans :premises (@p4758 @p4757)) % 1.02/1.26 (step @p4760 :rule cong :premises (@p4759) :args ((forall @t179 @t2890))) % 1.02/1.26 (step @p4761 :rule trans :premises (@p4760 @p4752)) % 1.02/1.26 (step @p4762 :rule trans :premises (@p4761 @p4751)) % 1.02/1.26 (step @p4763 :rule refl :args ((tptp.set2prop @t174))) % 1.02/1.26 (step @p4764 :rule refl :args (@t2886)) % 1.02/1.26 (step @p4765 :rule cong :premises (@p4764) :args (@t2887)) % 1.02/1.26 (step @p4766 :rule trans :premises (@p4765 @p4763)) % 1.02/1.26 (step @p4767 :rule refl :args (tptp.set2prop)) % 1.02/1.26 (step @p4768 :rule ho_cong :premises (@p4767 @p4764)) % 1.02/1.26 (step @p4769 :rule cong :premises (@p4768 @p4766) :args ((= (_ tptp.set2prop @t2886) @t2887))) % 1.02/1.26 (step @p4770 :rule symm :premises (@p4769)) % 1.02/1.26 (step @p4771 :rule refl :args (@t337)) % 1.02/1.26 (step @p4772 :rule eq_resolve :premises (@p4771 @p4770)) % 1.02/1.26 (step @p4773 :rule refl :args (@t174)) % 1.02/1.26 (step @p4774 :rule cong :premises (@p4773 @p4764) :args ((= @t174 @t2886))) % 1.02/1.26 (step @p4775 :rule symm :premises (@p4774)) % 1.02/1.26 (step @p4776 :rule eq_resolve :premises (@p4773 @p4775)) % 1.02/1.26 (step @p4777 :rule ho_cong :premises (@p4767 @p4776)) % 1.02/1.26 (step @p4778 :rule trans :premises (@p4777 @p4772)) % 1.02/1.26 (step @p4779 :rule nary_cong :premises (@p2889 @p4778) :args (@t2891)) % 1.02/1.26 (step @p4780 :rule cong :premises (@p4779) :args ((forall @t179 @t2891))) % 1.02/1.26 (step @p4781 :rule trans :premises (@p4780 @p4762)) % 1.02/1.26 (step @p4782 :rule bool-impl-elim :args (@t173 @t337)) % 1.02/1.26 (step @p4783 :rule cong :premises (@p4782) :args (@t338)) % 1.02/1.26 (step @p4784 :rule trans :premises (@p4783 @p4781)) % 1.02/1.26 (step @p4785 :rule refl :args (tptp.prop2set2propI)) % 1.02/1.26 (step @p4786 :rule cong :premises (@p4785 @p4784) :args (@t339)) % 1.02/1.26 (step @p4787 :rule eq_resolve :premises (@p58 @p4786)) % 1.02/1.26 (step @p4788 :rule cong :premises (@p4787 @p4748) :args (@t2892)) % 1.02/1.26 (step @p4789 :rule aci_norm :args ((= (or false @t1493) @t1493))) % 1.02/1.26 (step @p4790 :rule nary_cong :premises (@p1436 @p561) :args (@t2893)) % 1.02/1.26 (step @p4791 :rule trans :premises (@p4790 @p4789)) % 1.02/1.26 (step @p4792 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2888 @t2453 @t2894)) @t2893))) % 1.02/1.26 (step @p4793 :rule refl :args (@t2894)) % 1.02/1.26 (step @p4794 :rule nary_cong :premises (@p4756 @p2889 @p4793) :args (@t2895)) % 1.02/1.26 (step @p4795 :rule aci_norm :args ((= @t2896 @t2895))) % 1.02/1.26 (step @p4796 :rule trans :premises (@p4795 @p4794)) % 1.02/1.26 (step @p4797 :rule cong :premises (@p4796) :args ((forall @t179 @t2896))) % 1.02/1.26 (step @p4798 :rule trans :premises (@p4797 @p4792)) % 1.02/1.26 (step @p4799 :rule trans :premises (@p4798 @p4791)) % 1.02/1.26 (step @p4800 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 1.02/1.26 (step @p4801 :rule cong :premises (@p248 @p4764) :args (@t2894)) % 1.02/1.26 (step @p4802 :rule trans :premises (@p4801 @p4800)) % 1.02/1.26 (step @p4803 :rule ho_cong :premises (@p251 @p4764)) % 1.02/1.26 (step @p4804 :rule cong :premises (@p4803 @p4802) :args ((= (_ @t49 @t2886) @t2894))) % 1.02/1.26 (step @p4805 :rule symm :premises (@p4804)) % 1.02/1.26 (step @p4806 :rule refl :args (@t334)) % 1.02/1.26 (step @p4807 :rule eq_resolve :premises (@p4806 @p4805)) % 1.02/1.26 (step @p4808 :rule ho_cong :premises (@p251 @p4776)) % 1.02/1.26 (step @p4809 :rule trans :premises (@p4808 @p4807)) % 1.02/1.26 (step @p4810 :rule nary_cong :premises (@p2889 @p4809) :args (@t2897)) % 1.02/1.26 (step @p4811 :rule cong :premises (@p4810) :args ((forall @t179 @t2897))) % 1.02/1.26 (step @p4812 :rule trans :premises (@p4811 @p4799)) % 1.02/1.26 (step @p4813 :rule bool-impl-elim :args (@t173 @t334)) % 1.02/1.26 (step @p4814 :rule cong :premises (@p4813) :args (@t335)) % 1.02/1.26 (step @p4815 :rule trans :premises (@p4814 @p4812)) % 1.02/1.26 (step @p4816 :rule refl :args (tptp.prop2setI)) % 1.02/1.26 (step @p4817 :rule cong :premises (@p4816 @p4815) :args (@t336)) % 1.02/1.26 (step @p4818 :rule eq_resolve :premises (@p57 @p4817)) % 1.02/1.26 (step @p4819 :rule cong :premises (@p4818 @p4788) :args (@t2898)) % 1.02/1.26 (step @p4820 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 1.02/1.26 (step @p4821 :rule symm :premises (@p4820)) % 1.02/1.26 (step @p4822 :rule cong :premises (@p4707 @p4711) :args (@t331)) % 1.02/1.26 (step @p4823 :rule cong :premises (@p4822) :args (@t332)) % 1.02/1.26 (step @p4824 :rule trans :premises (@p4823 @p4696)) % 1.02/1.26 (step @p4825 :rule refl :args (tptp.quantDeMorgan4)) % 1.02/1.26 (step @p4826 :rule cong :premises (@p4825 @p4824) :args (@t333)) % 1.02/1.26 (step @p4827 :rule trans :premises (@p4826 @p4820)) % 1.02/1.26 (step @p4828 :rule eq_resolve :premises (@p56 @p4827)) % 1.02/1.26 (step @p4829 :rule eq_resolve :premises (@p4828 @p4821)) % 1.02/1.26 (step @p4830 :rule cong :premises (@p4829 @p4819) :args (@t2899)) % 1.02/1.26 (step @p4831 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 1.02/1.26 (step @p4832 :rule symm :premises (@p4831)) % 1.02/1.26 (step @p4833 :rule refl :args (tptp.quantDeMorgan3)) % 1.02/1.26 (step @p4834 :rule cong :premises (@p4833 @p4741) :args (@t330)) % 1.02/1.26 (step @p4835 :rule trans :premises (@p4834 @p4831)) % 1.02/1.26 (step @p4836 :rule eq_resolve :premises (@p55 @p4835)) % 1.02/1.26 (step @p4837 :rule eq_resolve :premises (@p4836 @p4832)) % 1.02/1.26 (step @p4838 :rule cong :premises (@p4837 @p4830) :args (@t2900)) % 1.02/1.26 (step @p4839 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 1.02/1.26 (step @p4840 :rule symm :premises (@p4839)) % 1.02/1.26 (step @p4841 :rule cong :premises (@p4735 @p4738) :args (@t325)) % 1.02/1.26 (step @p4842 :rule cong :premises (@p4841) :args (@t326)) % 1.02/1.26 (step @p4843 :rule trans :premises (@p4842 @p4732)) % 1.02/1.26 (step @p4844 :rule refl :args (tptp.quantDeMorgan2)) % 1.02/1.26 (step @p4845 :rule cong :premises (@p4844 @p4843) :args (@t327)) % 1.02/1.26 (step @p4846 :rule trans :premises (@p4845 @p4839)) % 1.02/1.26 (step @p4847 :rule eq_resolve :premises (@p54 @p4846)) % 1.02/1.26 (step @p4848 :rule eq_resolve :premises (@p4847 @p4840)) % 1.02/1.26 (step @p4849 :rule cong :premises (@p4848 @p4838) :args (@t2901)) % 1.02/1.26 (step @p4850 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 1.02/1.26 (step @p4851 :rule symm :premises (@p4850)) % 1.02/1.26 (step @p4852 :rule refl :args (tptp.quantDeMorgan1)) % 1.02/1.26 (step @p4853 :rule cong :premises (@p4852 @p4714) :args (@t322)) % 1.02/1.26 (step @p4854 :rule trans :premises (@p4853 @p4850)) % 1.02/1.26 (step @p4855 :rule eq_resolve :premises (@p53 @p4854)) % 1.02/1.26 (step @p4856 :rule eq_resolve :premises (@p4855 @p4851)) % 1.02/1.26 (step @p4857 :rule cong :premises (@p4856 @p4849) :args (@t2902)) % 1.02/1.26 (step @p4858 :rule refl :args (@t1495)) % 1.02/1.26 (step @p4859 :rule refl :args (@t15)) % 1.02/1.26 (step @p4860 :rule cong :premises (@p4859 @p4858) :args ((= @t15 @t1495))) % 1.02/1.26 (step @p4861 :rule symm :premises (@p4860)) % 1.02/1.26 (step @p4862 :rule eq_resolve :premises (@p4859 @p4861)) % 1.02/1.26 (step @p4863 :rule cong :premises (@p4862) :args (@t16)) % 1.02/1.26 (step @p4864 :rule nary_cong :premises (@p4863 @p1846) :args (@t2903)) % 1.02/1.26 (step @p4865 :rule cong :premises (@p4864) :args ((forall @t312 @t2903))) % 1.02/1.26 (step @p4866 :rule bool-impl-elim :args (@t15 @t144)) % 1.02/1.26 (step @p4867 :rule cong :premises (@p4866) :args (@t313)) % 1.02/1.26 (step @p4868 :rule trans :premises (@p4867 @p4865)) % 1.02/1.26 (step @p4869 :rule refl :args (tptp.vacuousDall)) % 1.02/1.26 (step @p4870 :rule cong :premises (@p4869 @p4868) :args (@t314)) % 1.02/1.26 (step @p4871 :rule eq_resolve :premises (@p52 @p4870)) % 1.02/1.26 (step @p4872 :rule cong :premises (@p4871 @p4857) :args (@t2904)) % 1.02/1.26 (step @p4873 :rule aci_norm :args ((= @t2906 @t1503))) % 1.02/1.26 (step @p4874 :rule cong :premises (@p4873) :args (@t2907)) % 1.02/1.26 (step @p4875 :rule quant-merge-prenex :args ((= (forall @t309 @t2909) @t2907))) % 1.02/1.26 (step @p4876 :rule refl :args (@t1502)) % 1.02/1.26 (step @p4877 :rule alpha_equiv :args (@t2910 (@list @t1499) @t1906)) % 1.02/1.26 (step @p4878 :rule nary_cong :premises (@p4877 @p4876) :args (@t2911)) % 1.02/1.26 (step @p4879 :rule quant-miniscope-or :args ((= @t2909 @t2911))) % 1.02/1.26 (step @p4880 :rule trans :premises (@p4879 @p4878)) % 1.02/1.26 (step @p4881 :rule symm :premises (@p4880)) % 1.02/1.26 (step @p4882 :rule cong :premises (@p4881) :args ((forall @t309 (or @t1244 @t1502)))) % 1.02/1.26 (step @p4883 :rule trans :premises (@p4882 @p4875)) % 1.02/1.26 (step @p4884 :rule trans :premises (@p4883 @p4874)) % 1.02/1.26 (step @p4885 :rule cong :premises (@p201 @p3461) :args (@t2912)) % 1.02/1.26 (step @p4886 :rule cong :premises (@p4885) :args (@t2913)) % 1.02/1.26 (step @p4887 :rule refl :args (@t1244)) % 1.02/1.26 (step @p4888 :rule nary_cong :premises (@p4887 @p4886) :args (@t2914)) % 1.02/1.26 (step @p4889 :rule cong :premises (@p4888) :args ((forall @t309 @t2914))) % 1.02/1.26 (step @p4890 :rule trans :premises (@p4889 @p4884)) % 1.02/1.26 (step @p4891 :rule cong :premises (@p248 @p3484) :args (@t2915)) % 1.02/1.26 (step @p4892 :rule cong :premises (@p4891) :args (@t2916)) % 1.02/1.26 (step @p4893 :rule refl :args (@t1244)) % 1.02/1.26 (step @p4894 :rule nary_cong :premises (@p4893 @p4892) :args (@t2917)) % 1.02/1.26 (step @p4895 :rule cong :premises (@p4894) :args ((forall @t309 @t2917))) % 1.02/1.26 (step @p4896 :rule trans :premises (@p4895 @p4890)) % 1.02/1.26 (step @p4897 :rule refl :args (@t2916)) % 1.02/1.26 (step @p4898 :rule nary_cong :premises (@p1792 @p4897) :args ((or @t2183 @t2916))) % 1.02/1.26 (step @p4899 :rule bool-impl-elim :args (@t1245 @t2916)) % 1.02/1.26 (step @p4900 :rule trans :premises (@p4899 @p4898)) % 1.02/1.26 (step @p4901 :rule cong :premises (@p4900) :args ((forall @t309 (=> @t1245 @t2916)))) % 1.02/1.26 (step @p4902 :rule trans :premises (@p4901 @p4896)) % 1.02/1.26 (step @p4903 :rule eq-symm :args (@t304 tptp.emptyset)) % 1.02/1.26 (step @p4904 :rule cong :premises (@p4903) :args ((not @t305))) % 1.02/1.26 (step @p4905 :rule bool-impl-false1 :args (@t305)) % 1.02/1.26 (step @p4906 :rule trans :premises (@p4905 @p4904)) % 1.02/1.26 (step @p4907 :rule cong :premises (@p1855 @p4906) :args (@t308)) % 1.02/1.26 (step @p4908 :rule cong :premises (@p4907) :args (@t310)) % 1.02/1.26 (step @p4909 :rule trans :premises (@p4908 @p4902)) % 1.02/1.26 (step @p4910 :rule refl :args (tptp.emptyE1)) % 1.02/1.26 (step @p4911 :rule cong :premises (@p4910 @p4909) :args (@t311)) % 1.02/1.26 (step @p4912 :rule eq_resolve :premises (@p51 @p4911)) % 1.02/1.26 (step @p4913 :rule cong :premises (@p4912 @p4872) :args (@t2918)) % 1.02/1.26 (step @p4914 :rule refl :args (tptp.upairsetIR)) % 1.02/1.26 (step @p4915 :rule cong :premises (@p4914 @p2753) :args (@t303)) % 1.02/1.26 (step @p4916 :rule eq_resolve :premises (@p50 @p4915)) % 1.02/1.26 (step @p4917 :rule cong :premises (@p4916 @p4913) :args (@t2919)) % 1.02/1.26 (step @p4918 :rule refl :args ((tptp.in @t4 @t291))) % 1.02/1.26 (step @p4919 :rule cong :premises (@p1096 @p1376) :args (@t1508)) % 1.02/1.26 (step @p4920 :rule trans :premises (@p4919 @p4918)) % 1.02/1.26 (step @p4921 :rule ho_cong :premises (@p2201 @p1376)) % 1.02/1.26 (step @p4922 :rule cong :premises (@p4921 @p4920) :args ((= (_ @t5 @t1168) @t1508))) % 1.02/1.26 (step @p4923 :rule symm :premises (@p4922)) % 1.02/1.26 (step @p4924 :rule refl :args (@t298)) % 1.02/1.26 (step @p4925 :rule eq_resolve :premises (@p4924 @p4923)) % 1.02/1.26 (step @p4926 :rule ho_cong :premises (@p2201 @p1404)) % 1.02/1.26 (step @p4927 :rule trans :premises (@p4926 @p4925)) % 1.02/1.26 (step @p4928 :rule cong :premises (@p4927) :args (@t299)) % 1.02/1.26 (step @p4929 :rule refl :args (tptp.upairsetIL)) % 1.02/1.26 (step @p4930 :rule cong :premises (@p4929 @p4928) :args (@t300)) % 1.02/1.26 (step @p4931 :rule eq_resolve :premises (@p49 @p4930)) % 1.02/1.26 (step @p4932 :rule cong :premises (@p4931 @p4917) :args (@t2920)) % 1.02/1.26 (step @p4933 :rule refl :args (tptp.upairsetE)) % 1.02/1.26 (step @p4934 :rule cong :premises (@p4933 @p2596) :args (@t297)) % 1.02/1.26 (step @p4935 :rule eq_resolve :premises (@p48 @p4934)) % 1.02/1.26 (step @p4936 :rule cong :premises (@p4935 @p4932) :args (@t2921)) % 1.02/1.26 (step @p4937 :rule refl :args ((tptp.in @t19 @t279))) % 1.02/1.26 (step @p4938 :rule cong :premises (@p1049 @p1282) :args (@t1512)) % 1.02/1.26 (step @p4939 :rule trans :premises (@p4938 @p4937)) % 1.02/1.26 (step @p4940 :rule ho_cong :premises (@p2706 @p1282)) % 1.02/1.26 (step @p4941 :rule cong :premises (@p4940 @p4939) :args ((= (_ @t20 @t1156) @t1512))) % 1.02/1.26 (step @p4942 :rule symm :premises (@p4941)) % 1.02/1.26 (step @p4943 :rule refl :args (@t280)) % 1.02/1.26 (step @p4944 :rule eq_resolve :premises (@p4943 @p4942)) % 1.02/1.26 (step @p4945 :rule ho_cong :premises (@p2706 @p1286)) % 1.02/1.26 (step @p4946 :rule trans :premises (@p4945 @p4944)) % 1.02/1.26 (step @p4947 :rule refl :args ((tptp.in @t4 @t275))) % 1.02/1.26 (step @p4948 :rule cong :premises (@p1096 @p1374) :args (@t1513)) % 1.02/1.26 (step @p4949 :rule trans :premises (@p4948 @p4947)) % 1.02/1.26 (step @p4950 :rule ho_cong :premises (@p2201 @p1374)) % 1.02/1.26 (step @p4951 :rule cong :premises (@p4950 @p4949) :args ((= (_ @t5 @t1167) @t1513))) % 1.02/1.26 (step @p4952 :rule symm :premises (@p4951)) % 1.02/1.26 (step @p4953 :rule refl :args (@t276)) % 1.02/1.26 (step @p4954 :rule eq_resolve :premises (@p4953 @p4952)) % 1.02/1.26 (step @p4955 :rule ho_cong :premises (@p2201 @p1402)) % 1.02/1.26 (step @p4956 :rule trans :premises (@p4955 @p4954)) % 1.02/1.26 (step @p4957 :rule cong :premises (@p4956) :args (@t2922)) % 1.02/1.26 (step @p4958 :rule nary_cong :premises (@p4957 @p4946) :args (@t2923)) % 1.02/1.26 (step @p4959 :rule cong :premises (@p4958) :args ((forall @t135 @t2923))) % 1.02/1.26 (step @p4960 :rule bool-impl-elim :args (@t276 @t280)) % 1.02/1.26 (step @p4961 :rule cong :premises (@p4960) :args (@t287)) % 1.02/1.26 (step @p4962 :rule trans :premises (@p4961 @p4959)) % 1.02/1.26 (step @p4963 :rule refl :args (tptp.singletonsswitch)) % 1.02/1.26 (step @p4964 :rule cong :premises (@p4963 @p4962) :args (@t288)) % 1.02/1.26 (step @p4965 :rule eq_resolve :premises (@p47 @p4964)) % 1.02/1.26 (step @p4966 :rule cong :premises (@p4965 @p4936) :args (@t2924)) % 1.02/1.26 (step @p4967 :rule aci_norm :args ((= (or false @t1517) @t1517))) % 1.02/1.26 (step @p4968 :rule refl :args (@t1517)) % 1.02/1.26 (step @p4969 :rule nary_cong :premises (@p1475 @p4968) :args (@t2925)) % 1.02/1.26 (step @p4970 :rule trans :premises (@p4969 @p4967)) % 1.02/1.26 (step @p4971 :rule cong :premises (@p4970) :args ((forall @t70 @t2925))) % 1.02/1.26 (step @p4972 :rule quant-var-elim-eq :args ((= (forall @t9 @t2926) @t2925))) % 1.02/1.26 (step @p4973 :rule aci_norm :args ((= @t2927 @t2926))) % 1.02/1.26 (step @p4974 :rule cong :premises (@p4973) :args (@t2928)) % 1.02/1.26 (step @p4975 :rule trans :premises (@p4974 @p4972)) % 1.02/1.26 (step @p4976 :rule cong :premises (@p4975) :args (@t2929)) % 1.02/1.26 (step @p4977 :rule quant-merge-prenex :args ((= @t2929 @t2930))) % 1.02/1.26 (step @p4978 :rule symm :premises (@p4977)) % 1.02/1.26 (step @p4979 :rule quant_var_reordering :args ((= (forall @t135 @t2927) @t2930))) % 1.02/1.26 (step @p4980 :rule trans :premises (@p4979 @p4978 @p4976)) % 1.02/1.26 (step @p4981 :rule trans :premises (@p4980 @p4971)) % 1.02/1.26 (step @p4982 :rule nary_cong :premises (@p1500 @p4956) :args (@t2931)) % 1.02/1.26 (step @p4983 :rule cong :premises (@p4982) :args ((forall @t135 @t2931))) % 1.02/1.26 (step @p4984 :rule trans :premises (@p4983 @p4981)) % 1.02/1.26 (step @p4985 :rule bool-impl-elim :args (@t129 @t276)) % 1.02/1.26 (step @p4986 :rule cong :premises (@p4985) :args (@t285)) % 1.02/1.26 (step @p4987 :rule trans :premises (@p4986 @p4984)) % 1.02/1.26 (step @p4988 :rule refl :args (tptp.eqinunit)) % 1.02/1.26 (step @p4989 :rule cong :premises (@p4988 @p4987) :args (@t286)) % 1.02/1.26 (step @p4990 :rule eq_resolve :premises (@p46 @p4989)) % 1.02/1.26 (step @p4991 :rule cong :premises (@p4990 @p4966) :args (@t2932)) % 1.02/1.26 (step @p4992 :rule cong :premises (@p4946) :args (@t281)) % 1.02/1.26 (step @p4993 :rule nary_cong :premises (@p1422 @p4992) :args (@t2933)) % 1.02/1.26 (step @p4994 :rule cong :premises (@p4993) :args ((forall @t135 @t2933))) % 1.02/1.26 (step @p4995 :rule refl :args (@t281)) % 1.02/1.26 (step @p4996 :rule bool-double-not-elim :args (@t129)) % 1.02/1.26 (step @p4997 :rule nary_cong :premises (@p4996 @p4995) :args ((or (not @t282) @t281))) % 1.02/1.26 (step @p4998 :rule bool-impl-elim :args (@t282 @t281)) % 1.02/1.26 (step @p4999 :rule trans :premises (@p4998 @p4997)) % 1.02/1.26 (step @p5000 :rule cong :premises (@p4999) :args (@t283)) % 1.02/1.26 (step @p5001 :rule trans :premises (@p5000 @p4994)) % 1.02/1.26 (step @p5002 :rule refl :args (tptp.notinsingleton)) % 1.02/1.26 (step @p5003 :rule cong :premises (@p5002 @p5001) :args (@t284)) % 1.02/1.26 (step @p5004 :rule eq_resolve :premises (@p45 @p5003)) % 1.02/1.26 (step @p5005 :rule cong :premises (@p5004 @p4991) :args (@t2934)) % 1.02/1.26 (step @p5006 :rule nary_cong :premises (@p4957 @p1422) :args (@t2935)) % 1.02/1.26 (step @p5007 :rule cong :premises (@p5006) :args ((forall @t135 @t2935))) % 1.02/1.26 (step @p5008 :rule bool-impl-elim :args (@t276 @t129)) % 1.02/1.26 (step @p5009 :rule cong :premises (@p5008) :args (@t277)) % 1.02/1.26 (step @p5010 :rule trans :premises (@p5009 @p5007)) % 1.02/1.26 (step @p5011 :rule refl :args (tptp.uniqinunit)) % 1.02/1.26 (step @p5012 :rule cong :premises (@p5011 @p5010) :args (@t278)) % 1.02/1.26 (step @p5013 :rule eq_resolve :premises (@p44 @p5012)) % 1.02/1.26 (step @p5014 :rule cong :premises (@p5013 @p5005) :args (@t2936)) % 1.02/1.26 (step @p5015 :rule refl :args (@t1525)) % 1.02/1.26 (step @p5016 :rule bool-double-not-elim :args (@t196)) % 1.02/1.26 (step @p5017 :rule nary_cong :premises (@p5016 @p5015) :args ((or (not @t2937) @t1525))) % 1.02/1.26 (step @p5018 :rule bool-impl-elim :args (@t2937 @t1525)) % 1.02/1.26 (step @p5019 :rule trans :premises (@p5018 @p5017)) % 1.02/1.26 (step @p5020 :rule cong :premises (@p5019) :args ((forall @t64 (=> @t2937 @t1525)))) % 1.02/1.26 (step @p5021 :rule cong :premises (@p649) :args (@t198)) % 1.02/1.26 (step @p5022 :rule cong :premises (@p5021) :args (@t2938)) % 1.02/1.26 (step @p5023 :rule exists-elim :args ((= @t89 @t2938))) % 1.02/1.26 (step @p5024 :rule trans :premises (@p5023 @p5022)) % 1.02/1.26 (step @p5025 :rule aci_norm :args ((= @t269 @t7))) % 1.02/1.26 (step @p5026 :rule cong :premises (@p5025) :args (@t270)) % 1.02/1.26 (step @p5027 :rule trans :premises (@p5026 @p5024)) % 1.02/1.26 (step @p5028 :rule beta-reduce :args ((= @t2939 @t2937))) % 1.02/1.26 (step @p5029 :rule cong :premises (@p5028 @p5027) :args (@t2940)) % 1.02/1.26 (step @p5030 :rule cong :premises (@p5029) :args (@t2941)) % 1.02/1.26 (step @p5031 :rule trans :premises (@p5030 @p5020)) % 1.02/1.26 (step @p5032 :rule refl :args (tptp.nonemptyImpWitness)) % 1.02/1.26 (step @p5033 :rule cong :premises (@p5032 @p5031) :args ((= tptp.nonemptyImpWitness @t2941))) % 1.02/1.26 (step @p5034 :rule refl :args (@t270)) % 1.02/1.26 (step @p5035 :rule ho_cong :premises (@p189 @p789)) % 1.02/1.26 (step @p5036 :rule cong :premises (@p5035 @p5034) :args (@t271)) % 1.02/1.26 (step @p5037 :rule cong :premises (@p5036) :args (@t272)) % 1.02/1.26 (step @p5038 :rule cong :premises (@p5032 @p5037) :args (@t273)) % 1.02/1.26 (step @p5039 :rule trans :premises (@p5038 @p5033)) % 1.02/1.26 (step @p5040 :rule eq_resolve :premises (@p43 @p5039)) % 1.02/1.26 (step @p5041 :rule cong :premises (@p5040 @p5014) :args (@t2942)) % 1.02/1.26 (step @p5042 :rule eq-symm :args (@t1528 @t19)) % 1.02/1.26 (step @p5043 :rule nary_cong :premises (@p4040 @p5042) :args (@t2943)) % 1.02/1.26 (step @p5044 :rule cong :premises (@p5043) :args (@t2944)) % 1.02/1.26 (step @p5045 :rule cong :premises (@p5044) :args (@t2945)) % 1.02/1.26 (step @p5046 :rule refl :args (@t1529)) % 1.02/1.26 (step @p5047 :rule refl :args (@t1532)) % 1.02/1.26 (step @p5048 :rule nary_cong :premises (@p5047 @p5046 @p5045) :args (@t2946)) % 1.02/1.26 (step @p5049 :rule aci_norm :args ((= @t2948 @t2946))) % 1.02/1.26 (step @p5050 :rule trans :premises (@p5049 @p5048)) % 1.02/1.26 (step @p5051 :rule cong :premises (@p5050) :args (@t2949)) % 1.02/1.26 (step @p5052 :rule quant-merge-prenex :args ((= (forall @t150 @t2951) @t2949))) % 1.02/1.26 (step @p5053 :rule refl :args (@t1532)) % 1.02/1.26 (step @p5054 :rule alpha_equiv :args (@t2952 (@list @t1528) @t1906)) % 1.02/1.26 (step @p5055 :rule nary_cong :premises (@p5054 @p5053) :args (@t2953)) % 1.02/1.26 (step @p5056 :rule quant-miniscope-or :args ((= @t2951 @t2953))) % 1.02/1.26 (step @p5057 :rule trans :premises (@p5056 @p5055)) % 1.02/1.26 (step @p5058 :rule symm :premises (@p5057)) % 1.02/1.26 (step @p5059 :rule cong :premises (@p5058) :args ((forall @t150 (or @t1476 @t1532)))) % 1.02/1.26 (step @p5060 :rule trans :premises (@p5059 @p5052)) % 1.02/1.26 (step @p5061 :rule trans :premises (@p5060 @p5051)) % 1.02/1.26 (step @p5062 :rule nary_cong :premises (@p4108 @p5053) :args ((or @t2680 @t1532))) % 1.02/1.26 (step @p5063 :rule bool-impl-elim :args (@t1477 @t1532)) % 1.02/1.26 (step @p5064 :rule trans :premises (@p5063 @p5062)) % 1.02/1.26 (step @p5065 :rule cong :premises (@p5064) :args ((forall @t150 (=> @t1477 @t1532)))) % 1.02/1.26 (step @p5066 :rule trans :premises (@p5065 @p5061)) % 1.02/1.26 (step @p5067 :rule cong :premises (@p4160 @p4604) :args (@t2954)) % 1.02/1.26 (step @p5068 :rule cong :premises (@p5067) :args (@t2955)) % 1.02/1.26 (step @p5069 :rule trans :premises (@p5068 @p5066)) % 1.02/1.26 (step @p5070 :rule refl :args (tptp.exuE2)) % 1.02/1.26 (step @p5071 :rule cong :premises (@p5070 @p5069) :args ((= tptp.exuE2 @t2955))) % 1.02/1.26 (step @p5072 :rule cong :premises (@p4203 @p4610) :args (@t266)) % 1.02/1.26 (step @p5073 :rule cong :premises (@p5072) :args (@t267)) % 1.02/1.26 (step @p5074 :rule cong :premises (@p5070 @p5073) :args (@t268)) % 1.02/1.26 (step @p5075 :rule trans :premises (@p5074 @p5071)) % 1.02/1.26 (step @p5076 :rule eq_resolve :premises (@p42 @p5075)) % 1.02/1.26 (step @p5077 :rule cong :premises (@p5076 @p5041) :args (@t2956)) % 1.02/1.26 (step @p5078 :rule refl :args ((tptp.in @t4 @t259))) % 1.02/1.26 (step @p5079 :rule refl :args ((tptp.powerset @t43))) % 1.02/1.26 (step @p5080 :rule cong :premises (@p2198) :args (@t1536)) % 1.02/1.26 (step @p5081 :rule trans :premises (@p5080 @p5079)) % 1.02/1.26 (step @p5082 :rule cong :premises (@p1096 @p5081) :args (@t1537)) % 1.02/1.26 (step @p5083 :rule trans :premises (@p5082 @p5078)) % 1.02/1.26 (step @p5084 :rule ho_cong :premises (@p2201 @p5081)) % 1.02/1.26 (step @p5085 :rule cong :premises (@p5084 @p5083) :args ((= (_ @t5 @t1536) @t1537))) % 1.02/1.26 (step @p5086 :rule symm :premises (@p5085)) % 1.02/1.26 (step @p5087 :rule refl :args (@t260)) % 1.02/1.26 (step @p5088 :rule eq_resolve :premises (@p5087 @p5086)) % 1.02/1.26 (step @p5089 :rule ho_cong :premises (@p2367 @p2198)) % 1.02/1.26 (step @p5090 :rule cong :premises (@p5089 @p5081) :args ((= (_ tptp.powerset @t1260) @t1536))) % 1.02/1.26 (step @p5091 :rule symm :premises (@p5090)) % 1.02/1.26 (step @p5092 :rule refl :args (@t259)) % 1.02/1.26 (step @p5093 :rule eq_resolve :premises (@p5092 @p5091)) % 1.02/1.26 (step @p5094 :rule ho_cong :premises (@p2367 @p2210)) % 1.02/1.26 (step @p5095 :rule trans :premises (@p5094 @p5093)) % 1.02/1.26 (step @p5096 :rule ho_cong :premises (@p2201 @p5095)) % 1.02/1.26 (step @p5097 :rule trans :premises (@p5096 @p5088)) % 1.02/1.26 (step @p5098 :rule nary_cong :premises (@p649 @p5097) :args (@t2957)) % 1.02/1.26 (step @p5099 :rule cong :premises (@p5098) :args ((forall @t46 @t2957))) % 1.02/1.26 (step @p5100 :rule bool-impl-elim :args (@t7 @t260)) % 1.02/1.26 (step @p5101 :rule cong :premises (@p5100) :args (@t261)) % 1.02/1.26 (step @p5102 :rule trans :premises (@p5101 @p5099)) % 1.02/1.26 (step @p5103 :rule refl :args (tptp.subPowSU)) % 1.02/1.26 (step @p5104 :rule cong :premises (@p5103 @p5102) :args (@t262)) % 1.02/1.26 (step @p5105 :rule eq_resolve :premises (@p41 @p5104)) % 1.02/1.26 (step @p5106 :rule cong :premises (@p5105 @p5077) :args (@t2958)) % 1.02/1.26 (step @p5107 :rule refl :args (@t1543)) % 1.02/1.26 (step @p5108 :rule nary_cong :premises (@p2213 @p5107) :args (@t2959)) % 1.02/1.26 (step @p5109 :rule cong :premises (@p5108) :args ((forall @t46 @t2959))) % 1.02/1.26 (step @p5110 :rule bool-impl-elim :args (@t44 @t1543)) % 1.02/1.26 (step @p5111 :rule cong :premises (@p5110) :args ((forall @t46 (=> @t44 @t1543)))) % 1.02/1.26 (step @p5112 :rule trans :premises (@p5111 @p5109)) % 1.02/1.26 (step @p5113 :rule aci_norm :args ((= (and true @t1543) @t1543))) % 1.02/1.26 (step @p5114 :rule refl :args (@t1543)) % 1.02/1.26 (step @p5115 :rule nary_cong :premises (@p2861 @p5114) :args (@t2960)) % 1.02/1.26 (step @p5116 :rule trans :premises (@p5115 @p5113)) % 1.02/1.26 (step @p5117 :rule aci_norm :args ((= @t2961 @t2960))) % 1.02/1.26 (step @p5118 :rule trans :premises (@p5117 @p5116)) % 1.02/1.26 (step @p5119 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2456 @t2962 @t173)) @t2961))) % 1.02/1.26 (step @p5120 :rule refl :args (@t2962)) % 1.02/1.26 (step @p5121 :rule nary_cong :premises (@p2882 @p5120 @p2874) :args (@t2963)) % 1.02/1.26 (step @p5122 :rule aci_norm :args ((= @t2964 @t2963))) % 1.02/1.26 (step @p5123 :rule trans :premises (@p5122 @p5121)) % 1.02/1.26 (step @p5124 :rule cong :premises (@p5123) :args ((forall @t179 @t2964))) % 1.02/1.26 (step @p5125 :rule trans :premises (@p5124 @p5119)) % 1.02/1.26 (step @p5126 :rule trans :premises (@p5125 @p5118)) % 1.02/1.26 (step @p5127 :rule bool-or-de-morgan :args (@t173 @t1542 false)) % 1.02/1.26 (step @p5128 :rule nary_cong :premises (@p5127 @p2874) :args ((or (not @t2965) @t173))) % 1.02/1.26 (step @p5129 :rule bool-impl-elim :args (@t2965 @t173)) % 1.02/1.26 (step @p5130 :rule trans :premises (@p5129 @p5128)) % 1.02/1.26 (step @p5131 :rule cong :premises (@p5130) :args ((forall @t179 (=> @t2965 @t173)))) % 1.02/1.26 (step @p5132 :rule trans :premises (@p5131 @p5126)) % 1.02/1.26 (step @p5133 :rule refl :args (@t173)) % 1.02/1.26 (step @p5134 :rule refl :args (@t1540)) % 1.02/1.26 (step @p5135 :rule refl :args (@t39)) % 1.02/1.26 (step @p5136 :rule cong :premises (@p5135 @p5134) :args ((= @t39 @t1540))) % 1.02/1.26 (step @p5137 :rule symm :premises (@p5136)) % 1.02/1.26 (step @p5138 :rule eq_resolve :premises (@p5135 @p5137)) % 1.02/1.26 (step @p5139 :rule cong :premises (@p5138) :args (@t2966)) % 1.02/1.26 (step @p5140 :rule nary_cong :premises (@p2803 @p5139) :args (@t2967)) % 1.02/1.26 (step @p5141 :rule cong :premises (@p5140) :args (@t2968)) % 1.02/1.26 (step @p5142 :rule nary_cong :premises (@p5133 @p5141) :args (@t2969)) % 1.02/1.26 (step @p5143 :rule quant-miniscope-or :args ((= (forall @t41 @t2970) @t2969))) % 1.02/1.26 (step @p5144 :rule aci_norm :args ((= @t2971 @t2970))) % 1.02/1.26 (step @p5145 :rule cong :premises (@p5144) :args ((forall @t41 @t2971))) % 1.02/1.26 (step @p5146 :rule trans :premises (@p5145 @p5143)) % 1.02/1.26 (step @p5147 :rule trans :premises (@p5146 @p5142)) % 1.02/1.26 (step @p5148 :rule aci_norm :args ((= (or @t435 (or @t2966 @t173)) @t2971))) % 1.02/1.26 (step @p5149 :rule bool-impl-elim :args (@t39 @t173)) % 1.02/1.26 (step @p5150 :rule refl :args (@t435)) % 1.02/1.26 (step @p5151 :rule nary_cong :premises (@p5150 @p5149) :args ((or @t435 @t252))) % 1.02/1.26 (step @p5152 :rule trans :premises (@p5151 @p5148)) % 1.02/1.26 (step @p5153 :rule bool-impl-elim :args (@t6 @t252)) % 1.02/1.26 (step @p5154 :rule trans :premises (@p5153 @p5152)) % 1.02/1.26 (step @p5155 :rule cong :premises (@p5154) :args (@t253)) % 1.02/1.26 (step @p5156 :rule trans :premises (@p5155 @p5147)) % 1.02/1.26 (step @p5157 :rule cong :premises (@p5156 @p5133) :args (@t254)) % 1.02/1.26 (step @p5158 :rule cong :premises (@p5157) :args (@t255)) % 1.02/1.26 (step @p5159 :rule trans :premises (@p5158 @p5132)) % 1.02/1.26 (step @p5160 :rule cong :premises (@p2239 @p5159) :args (@t256)) % 1.02/1.26 (step @p5161 :rule cong :premises (@p5160) :args (@t257)) % 1.02/1.26 (step @p5162 :rule trans :premises (@p5161 @p5112)) % 1.02/1.26 (step @p5163 :rule refl :args (tptp.setunionE)) % 1.02/1.26 (step @p5164 :rule cong :premises (@p5163 @p5162) :args (@t258)) % 1.02/1.26 (step @p5165 :rule eq_resolve :premises (@p40 @p5164)) % 1.02/1.26 (step @p5166 :rule cong :premises (@p5165 @p5106) :args (@t2972)) % 1.02/1.26 (step @p5167 :rule nary_cong :premises (@p2803 @p5139 @p2212) :args (@t2973)) % 1.02/1.26 (step @p5168 :rule cong :premises (@p5167) :args ((forall @t249 @t2973))) % 1.02/1.26 (step @p5169 :rule aci_norm :args ((= (or @t435 (or @t2966 @t44)) @t2973))) % 1.02/1.26 (step @p5170 :rule bool-impl-elim :args (@t39 @t44)) % 1.02/1.26 (step @p5171 :rule nary_cong :premises (@p5150 @p5170) :args ((or @t435 @t248))) % 1.02/1.26 (step @p5172 :rule trans :premises (@p5171 @p5169)) % 1.02/1.26 (step @p5173 :rule bool-impl-elim :args (@t6 @t248)) % 1.02/1.26 (step @p5174 :rule trans :premises (@p5173 @p5172)) % 1.02/1.26 (step @p5175 :rule cong :premises (@p5174) :args (@t250)) % 1.02/1.26 (step @p5176 :rule trans :premises (@p5175 @p5168)) % 1.02/1.26 (step @p5177 :rule refl :args (tptp.setunionI)) % 1.02/1.26 (step @p5178 :rule cong :premises (@p5177 @p5176) :args (@t251)) % 1.02/1.26 (step @p5179 :rule eq_resolve :premises (@p39 @p5178)) % 1.02/1.26 (step @p5180 :rule cong :premises (@p5179 @p5166) :args (@t2974)) % 1.02/1.26 (step @p5181 :rule nary_cong :premises (@p3568 @p2803 @p648) :args (@t2975)) % 1.02/1.26 (step @p5182 :rule cong :premises (@p5181) :args ((forall @t245 @t2975))) % 1.02/1.26 (step @p5183 :rule aci_norm :args ((= (or @t2556 @t2976) @t2975))) % 1.02/1.26 (step @p5184 :rule bool-impl-elim :args (@t6 @t7)) % 1.02/1.26 (step @p5185 :rule refl :args (@t2556)) % 1.02/1.26 (step @p5186 :rule nary_cong :premises (@p5185 @p5184) :args ((or @t2556 @t31))) % 1.02/1.26 (step @p5187 :rule trans :premises (@p5186 @p5183)) % 1.02/1.26 (step @p5188 :rule bool-impl-elim :args (@t35 @t31)) % 1.02/1.26 (step @p5189 :rule trans :premises (@p5188 @p5187)) % 1.02/1.26 (step @p5190 :rule cong :premises (@p5189) :args (@t246)) % 1.02/1.26 (step @p5191 :rule trans :premises (@p5190 @p5182)) % 1.02/1.26 (step @p5192 :rule refl :args (tptp.powersetE)) % 1.02/1.26 (step @p5193 :rule cong :premises (@p5192 @p5191) :args (@t247)) % 1.02/1.26 (step @p5194 :rule eq_resolve :premises (@p38 @p5193)) % 1.02/1.26 (step @p5195 :rule cong :premises (@p5194 @p5180) :args (@t2977)) % 1.02/1.26 (step @p5196 :rule eq-symm :args (@t1551 tptp.emptyInPowerset)) % 1.02/1.26 (step @p5197 :rule refl :args (tptp.emptyInPowerset)) % 1.02/1.26 (step @p5198 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 1.02/1.26 (step @p5199 :rule cong :premises (@p248 @p2625) :args (@t1550)) % 1.02/1.26 (step @p5200 :rule trans :premises (@p5199 @p5198)) % 1.02/1.26 (step @p5201 :rule ho_cong :premises (@p251 @p2625)) % 1.02/1.26 (step @p5202 :rule cong :premises (@p5201 @p5200) :args ((= (_ @t49 @t1316) @t1550))) % 1.02/1.26 (step @p5203 :rule symm :premises (@p5202)) % 1.02/1.26 (step @p5204 :rule refl :args (@t242)) % 1.02/1.26 (step @p5205 :rule eq_resolve :premises (@p5204 @p5203)) % 1.02/1.26 (step @p5206 :rule ho_cong :premises (@p251 @p2636)) % 1.02/1.26 (step @p5207 :rule trans :premises (@p5206 @p5205)) % 1.02/1.26 (step @p5208 :rule cong :premises (@p5207) :args (@t243)) % 1.02/1.26 (step @p5209 :rule cong :premises (@p5208 @p5197) :args ((= @t243 tptp.emptyInPowerset))) % 1.02/1.26 (step @p5210 :rule trans :premises (@p5209 @p5196)) % 1.02/1.26 (step @p5211 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 1.02/1.26 (step @p5212 :rule trans :premises (@p5211 @p5210)) % 1.02/1.26 (step @p5213 :rule eq_resolve :premises (@p37 @p5212)) % 1.02/1.26 (step @p5214 :rule cong :premises (@p5213 @p5195) :args (@t2978)) % 1.02/1.26 (step @p5215 :rule refl :args (tptp.emptyinPowerset)) % 1.02/1.26 (step @p5216 :rule cong :premises (@p5215 @p5208) :args (@t244)) % 1.02/1.26 (step @p5217 :rule eq_resolve :premises (@p36 @p5216)) % 1.02/1.26 (step @p5218 :rule cong :premises (@p5217 @p5214) :args (@t2979)) % 1.02/1.26 (step @p5219 :rule refl :args (@t1555)) % 1.02/1.26 (step @p5220 :rule nary_cong :premises (@p5219 @p3567) :args (@t2980)) % 1.02/1.26 (step @p5221 :rule cong :premises (@p5220) :args ((forall @t12 @t2980))) % 1.02/1.26 (step @p5222 :rule bool-impl-elim :args (@t1554 @t35)) % 1.02/1.26 (step @p5223 :rule cong :premises (@p5222) :args ((forall @t12 (=> @t1554 @t35)))) % 1.02/1.26 (step @p5224 :rule trans :premises (@p5223 @p5221)) % 1.02/1.26 (step @p5225 :rule refl :args (@t35)) % 1.02/1.26 (step @p5226 :rule nary_cong :premises (@p2803 @p648) :args (@t2976)) % 1.02/1.26 (step @p5227 :rule cong :premises (@p5226) :args ((forall @t9 @t2976))) % 1.02/1.26 (step @p5228 :rule cong :premises (@p5184) :args (@t32)) % 1.02/1.26 (step @p5229 :rule trans :premises (@p5228 @p5227)) % 1.02/1.26 (step @p5230 :rule cong :premises (@p5229 @p5225) :args (@t239)) % 1.02/1.26 (step @p5231 :rule cong :premises (@p5230) :args (@t240)) % 1.02/1.26 (step @p5232 :rule trans :premises (@p5231 @p5224)) % 1.02/1.26 (step @p5233 :rule refl :args (tptp.powersetI)) % 1.02/1.26 (step @p5234 :rule cong :premises (@p5233 @p5232) :args (@t241)) % 1.02/1.26 (step @p5235 :rule eq_resolve :premises (@p35 @p5234)) % 1.02/1.26 (step @p5236 :rule cong :premises (@p5235 @p5218) :args (@t2981)) % 1.02/1.26 (step @p5237 :rule refl :args (@t1560)) % 1.02/1.26 (step @p5238 :rule refl :args (@t1559)) % 1.02/1.26 (step @p5239 :rule cong :premises (@p1287 @p5238) :args (@t1560)) % 1.02/1.26 (step @p5240 :rule trans :premises (@p5239 @p5237)) % 1.02/1.26 (step @p5241 :rule ho_cong :premises (@p1935 @p5238)) % 1.02/1.26 (step @p5242 :rule cong :premises (@p5241 @p5240) :args ((= @t2982 @t1560))) % 1.02/1.26 (step @p5243 :rule symm :premises (@p5242)) % 1.02/1.26 (step @p5244 :rule refl :args ((_ @t155 @t1559))) % 1.02/1.26 (step @p5245 :rule eq_resolve :premises (@p5244 @p5243)) % 1.02/1.26 (step @p5246 :rule cong :premises (@p1287 @p5245) :args (@t2983)) % 1.02/1.26 (step @p5247 :rule cong :premises (@p5246) :args ((forall @t64 @t2983))) % 1.02/1.26 (step @p5248 :rule eq-symm :args (@t2982 @t2)) % 1.02/1.26 (step @p5249 :rule symm :premises (@p5238)) % 1.02/1.26 (step @p5250 :rule alpha_equiv :args (@t235 @t1906 (@list @t1558))) % 1.02/1.26 (step @p5251 :rule trans :premises (@p5250 @p5249)) % 1.02/1.26 (step @p5252 :rule refl :args (@t155)) % 1.02/1.26 (step @p5253 :rule ho_cong :premises (@p5252 @p5251)) % 1.02/1.26 (step @p5254 :rule cong :premises (@p5253 @p789) :args (@t236)) % 1.02/1.26 (step @p5255 :rule trans :premises (@p5254 @p5248)) % 1.02/1.26 (step @p5256 :rule cong :premises (@p5255) :args (@t237)) % 1.02/1.26 (step @p5257 :rule trans :premises (@p5256 @p5247)) % 1.02/1.26 (step @p5258 :rule refl :args (tptp.setoftrueEq)) % 1.02/1.26 (step @p5259 :rule cong :premises (@p5258 @p5257) :args (@t238)) % 1.02/1.26 (step @p5260 :rule eq_resolve :premises (@p34 @p5259)) % 1.02/1.26 (step @p5261 :rule cong :premises (@p5260 @p5236) :args (@t2984)) % 1.02/1.26 (step @p5262 :rule refl :args ((tptp.in @t19 @t25))) % 1.02/1.26 (step @p5263 :rule cong :premises (@p1049 @p3663) :args (@t1563)) % 1.02/1.26 (step @p5264 :rule trans :premises (@p5263 @p5262)) % 1.02/1.26 (step @p5265 :rule ho_cong :premises (@p2706 @p3663)) % 1.02/1.26 (step @p5266 :rule cong :premises (@p5265 @p5264) :args ((= (_ @t20 @t1419) @t1563))) % 1.02/1.26 (step @p5267 :rule symm :premises (@p5266)) % 1.02/1.26 (step @p5268 :rule refl :args (@t26)) % 1.02/1.26 (step @p5269 :rule eq_resolve :premises (@p5268 @p5267)) % 1.02/1.26 (step @p5270 :rule ho_cong :premises (@p2706 @p3674)) % 1.02/1.26 (step @p5271 :rule trans :premises (@p5270 @p5269)) % 1.02/1.26 (step @p5272 :rule cong :premises (@p5271) :args (@t2985)) % 1.02/1.26 (step @p5273 :rule nary_cong :premises (@p5272 @p1422 @p1888) :args (@t2986)) % 1.02/1.26 (step @p5274 :rule cong :premises (@p5273) :args ((forall @t28 @t2986))) % 1.02/1.26 (step @p5275 :rule aci_norm :args ((= (or @t2985 @t2987) @t2986))) % 1.02/1.26 (step @p5276 :rule bool-impl-elim :args (@t26 @t2987)) % 1.02/1.26 (step @p5277 :rule trans :premises (@p5276 @p5275)) % 1.02/1.26 (step @p5278 :rule cong :premises (@p5277) :args ((forall @t28 (=> @t26 @t2987)))) % 1.02/1.26 (step @p5279 :rule trans :premises (@p5278 @p5274)) % 1.02/1.26 (step @p5280 :rule nary_cong :premises (@p2056 @p2059) :args (@t23)) % 1.02/1.26 (step @p5281 :rule refl :args (@t26)) % 1.02/1.26 (step @p5282 :rule cong :premises (@p5281 @p5280) :args (@t232)) % 1.02/1.26 (step @p5283 :rule cong :premises (@p5282) :args (@t233)) % 1.02/1.26 (step @p5284 :rule trans :premises (@p5283 @p5279)) % 1.02/1.26 (step @p5285 :rule refl :args (tptp.setadjoinOr)) % 1.02/1.26 (step @p5286 :rule cong :premises (@p5285 @p5284) :args (@t234)) % 1.02/1.26 (step @p5287 :rule eq_resolve :premises (@p33 @p5286)) % 1.02/1.26 (step @p5288 :rule cong :premises (@p5287 @p5261) :args (@t2988)) % 1.02/1.26 (step @p5289 :rule refl :args (@t1236)) % 1.02/1.26 (step @p5290 :rule nary_cong :premises (@p5272 @p1422 @p5289) :args (@t2989)) % 1.02/1.26 (step @p5291 :rule cong :premises (@p5290) :args ((forall @t28 @t2989))) % 1.02/1.26 (step @p5292 :rule aci_norm :args ((= (or @t2985 @t1717) @t2989))) % 1.02/1.26 (step @p5293 :rule bool-impl-elim :args (@t26 @t1717)) % 1.02/1.26 (step @p5294 :rule trans :premises (@p5293 @p5292)) % 1.02/1.26 (step @p5295 :rule cong :premises (@p5294) :args ((forall @t28 (=> @t26 @t1717)))) % 1.02/1.26 (step @p5296 :rule trans :premises (@p5295 @p5291)) % 1.02/1.26 (step @p5297 :rule aci_norm :args ((= (and @t1236 true) @t1236))) % 1.02/1.26 (step @p5298 :rule refl :args (@t1236)) % 1.02/1.26 (step @p5299 :rule nary_cong :premises (@p5298 @p2861) :args (@t2990)) % 1.02/1.26 (step @p5300 :rule trans :premises (@p5299 @p5297)) % 1.02/1.26 (step @p5301 :rule aci_norm :args ((= (and @t129 true) @t129))) % 1.02/1.26 (step @p5302 :rule nary_cong :premises (@p1534 @p2861) :args (@t2991)) % 1.02/1.26 (step @p5303 :rule trans :premises (@p5302 @p5301)) % 1.02/1.26 (step @p5304 :rule nary_cong :premises (@p5303 @p5300) :args (@t2992)) % 1.02/1.26 (step @p5305 :rule aci_norm :args ((= @t2993 @t2992))) % 1.02/1.26 (step @p5306 :rule trans :premises (@p5305 @p5304)) % 1.02/1.26 (step @p5307 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2456 @t2995 @t2994 @t173)) @t2993))) % 1.02/1.26 (step @p5308 :rule refl :args (@t2994)) % 1.02/1.26 (step @p5309 :rule refl :args (@t2995)) % 1.02/1.26 (step @p5310 :rule nary_cong :premises (@p2882 @p5309 @p5308 @p2874) :args (@t2996)) % 1.02/1.26 (step @p5311 :rule aci_norm :args ((= @t2997 @t2996))) % 1.02/1.26 (step @p5312 :rule trans :premises (@p5311 @p5310)) % 1.02/1.26 (step @p5313 :rule cong :premises (@p5312) :args ((forall @t179 @t2997))) % 1.02/1.26 (step @p5314 :rule trans :premises (@p5313 @p5307)) % 1.02/1.26 (step @p5315 :rule trans :premises (@p5314 @p5306)) % 1.02/1.26 (step @p5316 :rule nary_cong :premises (@p1888 @p2889) :args (@t2998)) % 1.02/1.26 (step @p5317 :rule nary_cong :premises (@p5309 @p5316 @p2874) :args (@t2999)) % 1.02/1.26 (step @p5318 :rule cong :premises (@p5317) :args ((forall @t179 @t2999))) % 1.02/1.26 (step @p5319 :rule trans :premises (@p5318 @p5315)) % 1.02/1.26 (step @p5320 :rule aci_norm :args ((= (or @t2995 (or @t2998 @t173)) @t2999))) % 1.02/1.26 (step @p5321 :rule bool-implies-de-morgan :args (@t21 @t173)) % 1.02/1.26 (step @p5322 :rule nary_cong :premises (@p5321 @p2874) :args ((or (not @t224) @t173))) % 1.02/1.26 (step @p5323 :rule bool-impl-elim :args (@t224 @t173)) % 1.02/1.26 (step @p5324 :rule trans :premises (@p5323 @p5322)) % 1.02/1.26 (step @p5325 :rule bool-implies-de-morgan :args (@t129 @t173)) % 1.02/1.26 (step @p5326 :rule nary_cong :premises (@p5325 @p5324) :args ((or (not @t3000) @t225))) % 1.02/1.26 (step @p5327 :rule trans :premises (@p5326 @p5320)) % 1.02/1.26 (step @p5328 :rule bool-impl-elim :args (@t3000 @t225)) % 1.02/1.26 (step @p5329 :rule trans :premises (@p5328 @p5327)) % 1.02/1.26 (step @p5330 :rule cong :premises (@p5329) :args ((forall @t179 (=> @t3000 @t225)))) % 1.02/1.26 (step @p5331 :rule trans :premises (@p5330 @p5319)) % 1.02/1.26 (step @p5332 :rule refl :args (@t225)) % 1.02/1.26 (step @p5333 :rule cong :premises (@p2056 @p5133) :args (@t226)) % 1.02/1.26 (step @p5334 :rule cong :premises (@p5333 @p5332) :args (@t227)) % 1.02/1.26 (step @p5335 :rule cong :premises (@p5334) :args (@t228)) % 1.02/1.26 (step @p5336 :rule trans :premises (@p5335 @p5331)) % 1.02/1.26 (step @p5337 :rule cong :premises (@p5281 @p5336) :args (@t229)) % 1.02/1.26 (step @p5338 :rule cong :premises (@p5337) :args (@t230)) % 1.02/1.26 (step @p5339 :rule trans :premises (@p5338 @p5296)) % 1.02/1.26 (step @p5340 :rule refl :args (tptp.setadjoinE)) % 1.02/1.26 (step @p5341 :rule cong :premises (@p5340 @p5339) :args (@t231)) % 1.02/1.26 (step @p5342 :rule eq_resolve :premises (@p32 @p5341)) % 1.02/1.26 (step @p5343 :rule cong :premises (@p5342 @p5288) :args (@t3001)) % 1.02/1.26 (step @p5344 :rule nary_cong :premises (@p1889 @p5271) :args (@t3002)) % 1.02/1.26 (step @p5345 :rule cong :premises (@p5344) :args ((forall @t28 @t3002))) % 1.02/1.26 (step @p5346 :rule bool-impl-elim :args (@t21 @t26)) % 1.02/1.26 (step @p5347 :rule cong :premises (@p5346) :args (@t222)) % 1.02/1.26 (step @p5348 :rule trans :premises (@p5347 @p5345)) % 1.02/1.26 (step @p5349 :rule refl :args (tptp.setadjoinIR)) % 1.02/1.26 (step @p5350 :rule cong :premises (@p5349 @p5348) :args (@t223)) % 1.02/1.26 (step @p5351 :rule eq_resolve :premises (@p31 @p5350)) % 1.02/1.26 (step @p5352 :rule cong :premises (@p5351 @p5343) :args (@t3003)) % 1.02/1.26 (step @p5353 :rule cong :premises (@p30 @p5352) :args (@t3004)) % 1.02/1.26 (step @p5354 :rule refl :args ((tptp.in @t4 @t216))) % 1.02/1.26 (step @p5355 :rule refl :args (@t1572)) % 1.02/1.26 (step @p5356 :rule cong :premises (@p1096 @p5355) :args (@t1573)) % 1.02/1.26 (step @p5357 :rule trans :premises (@p5356 @p5354)) % 1.02/1.26 (step @p5358 :rule ho_cong :premises (@p2201 @p5355)) % 1.02/1.26 (step @p5359 :rule cong :premises (@p5358 @p5357) :args ((= (_ @t5 @t1572) @t1573))) % 1.02/1.26 (step @p5360 :rule symm :premises (@p5359)) % 1.02/1.26 (step @p5361 :rule refl :args (@t217)) % 1.02/1.26 (step @p5362 :rule eq_resolve :premises (@p5361 @p5360)) % 1.02/1.26 (step @p5363 :rule refl :args (@t216)) % 1.02/1.26 (step @p5364 :rule cong :premises (@p5363 @p5355) :args ((= @t216 @t1572))) % 1.02/1.26 (step @p5365 :rule symm :premises (@p5364)) % 1.02/1.26 (step @p5366 :rule eq_resolve :premises (@p5363 @p5365)) % 1.02/1.26 (step @p5367 :rule ho_cong :premises (@p2201 @p5366)) % 1.02/1.26 (step @p5368 :rule trans :premises (@p5367 @p5362)) % 1.02/1.26 (step @p5369 :rule cong :premises (@p5368) :args (@t218)) % 1.02/1.26 (step @p5370 :rule refl :args (tptp.setadjoinIL)) % 1.02/1.26 (step @p5371 :rule cong :premises (@p5370 @p5369) :args (@t219)) % 1.02/1.26 (step @p5372 :rule eq_resolve :premises (@p29 @p5371)) % 1.02/1.26 (step @p5373 :rule cong :premises (@p5372 @p5353) :args (@t3005)) % 1.02/1.26 (step @p5374 :rule aci_norm :args ((= (or @t1577 false) @t1577))) % 1.02/1.26 (step @p5375 :rule cong :premises (@p4405) :args (@t3006)) % 1.02/1.26 (step @p5376 :rule trans :premises (@p5375 @p1436)) % 1.02/1.26 (step @p5377 :rule refl :args (@t1577)) % 1.02/1.26 (step @p5378 :rule nary_cong :premises (@p5377 @p5376) :args (@t3007)) % 1.02/1.26 (step @p5379 :rule trans :premises (@p5378 @p5374)) % 1.02/1.26 (step @p5380 :rule cong :premises (@p5379) :args ((forall @t1578 @t3007))) % 1.02/1.26 (step @p5381 :rule quant-var-elim-eq :args ((= (forall @t64 @t3009) @t3007))) % 1.02/1.26 (step @p5382 :rule aci_norm :args ((= @t3010 @t3009))) % 1.02/1.26 (step @p5383 :rule cong :premises (@p5382) :args (@t3011)) % 1.02/1.26 (step @p5384 :rule trans :premises (@p5383 @p5381)) % 1.02/1.26 (step @p5385 :rule cong :premises (@p5384) :args (@t3012)) % 1.02/1.26 (step @p5386 :rule quant-merge-prenex :args ((= @t3012 @t3013))) % 1.02/1.26 (step @p5387 :rule symm :premises (@p5386)) % 1.02/1.26 (step @p5388 :rule quant_var_reordering :args ((= @t3014 @t3013))) % 1.02/1.26 (step @p5389 :rule trans :premises (@p5388 @p5387 @p5385)) % 1.02/1.26 (step @p5390 :rule trans :premises (@p5389 @p5380)) % 1.02/1.26 (step @p5391 :rule quant-merge-prenex :args ((= (forall @t64 @t3015) @t3014))) % 1.02/1.26 (step @p5392 :rule refl :args (@t2937)) % 1.02/1.26 (step @p5393 :rule alpha_equiv :args (@t3016 (@list @t1576) @t1906)) % 1.02/1.26 (step @p5394 :rule nary_cong :premises (@p5393 @p5392) :args (@t3017)) % 1.02/1.26 (step @p5395 :rule quant-miniscope-or :args ((= @t3015 @t3017))) % 1.02/1.26 (step @p5396 :rule trans :premises (@p5395 @p5394)) % 1.02/1.26 (step @p5397 :rule symm :premises (@p5396)) % 1.02/1.26 (step @p5398 :rule cong :premises (@p5397) :args ((forall @t64 (or @t1524 @t2937)))) % 1.02/1.26 (step @p5399 :rule trans :premises (@p5398 @p5391)) % 1.02/1.26 (step @p5400 :rule trans :premises (@p5399 @p5390)) % 1.02/1.26 (step @p5401 :rule bool-double-not-elim :args (@t1524)) % 1.02/1.26 (step @p5402 :rule nary_cong :premises (@p5401 @p5392) :args ((or @t3018 @t2937))) % 1.02/1.26 (step @p5403 :rule bool-impl-elim :args (@t1525 @t2937)) % 1.02/1.26 (step @p5404 :rule trans :premises (@p5403 @p5402)) % 1.02/1.26 (step @p5405 :rule cong :premises (@p5404) :args ((forall @t64 (=> @t1525 @t2937)))) % 1.02/1.26 (step @p5406 :rule trans :premises (@p5405 @p5400)) % 1.02/1.26 (step @p5407 :rule cong :premises (@p5024 @p5028) :args (@t3019)) % 1.02/1.26 (step @p5408 :rule cong :premises (@p5407) :args (@t3020)) % 1.02/1.26 (step @p5409 :rule trans :premises (@p5408 @p5406)) % 1.02/1.26 (step @p5410 :rule refl :args (tptp.nonemptyI1)) % 1.02/1.26 (step @p5411 :rule cong :premises (@p5410 @p5409) :args ((= tptp.nonemptyI1 @t3020))) % 1.02/1.26 (step @p5412 :rule refl :args (@t89)) % 1.02/1.26 (step @p5413 :rule cong :premises (@p5412 @p5035) :args (@t213)) % 1.02/1.26 (step @p5414 :rule cong :premises (@p5413) :args (@t214)) % 1.02/1.26 (step @p5415 :rule cong :premises (@p5410 @p5414) :args (@t215)) % 1.02/1.26 (step @p5416 :rule trans :premises (@p5415 @p5411)) % 1.02/1.26 (step @p5417 :rule eq_resolve :premises (@p28 @p5416)) % 1.02/1.26 (step @p5418 :rule cong :premises (@p5417 @p5373) :args (@t3021)) % 1.02/1.26 (step @p5419 :rule cong :premises (@p201 @p2027) :args (@t3022)) % 1.02/1.26 (step @p5420 :rule cong :premises (@p5419) :args (@t3023)) % 1.02/1.26 (step @p5421 :rule refl :args (@t1221)) % 1.02/1.26 (step @p5422 :rule nary_cong :premises (@p758 @p5421 @p5420) :args (@t3024)) % 1.02/1.26 (step @p5423 :rule cong :premises (@p5422) :args ((forall @t159 @t3024))) % 1.02/1.26 (step @p5424 :rule refl :args (@t2288)) % 1.02/1.26 (step @p5425 :rule cong :premises (@p1878) :args (@t2281)) % 1.02/1.26 (step @p5426 :rule cong :premises (@p1287 @p5425) :args (@t2282)) % 1.02/1.26 (step @p5427 :rule trans :premises (@p5426 @p5424)) % 1.02/1.26 (step @p5428 :rule ho_cong :premises (@p1935 @p5425)) % 1.02/1.26 (step @p5429 :rule cong :premises (@p5428 @p5427) :args ((= (_ @t155 @t2281) @t2282))) % 1.02/1.26 (step @p5430 :rule symm :premises (@p5429)) % 1.02/1.26 (step @p5431 :rule refl :args (@t156)) % 1.02/1.26 (step @p5432 :rule eq_resolve :premises (@p5431 @p5430)) % 1.02/1.26 (step @p5433 :rule ho_cong :premises (@p1935 @p2034)) % 1.02/1.26 (step @p5434 :rule trans :premises (@p5433 @p5432)) % 1.02/1.26 (step @p5435 :rule cong :premises (@p248 @p5434) :args (@t3025)) % 1.02/1.26 (step @p5436 :rule cong :premises (@p5435) :args (@t3026)) % 1.02/1.26 (step @p5437 :rule nary_cong :premises (@p649 @p1847 @p5436) :args (@t3027)) % 1.02/1.26 (step @p5438 :rule cong :premises (@p5437) :args ((forall @t159 @t3027))) % 1.02/1.26 (step @p5439 :rule trans :premises (@p5438 @p5423)) % 1.02/1.26 (step @p5440 :rule aci_norm :args ((= (or @t197 (or @t315 @t3026)) @t3027))) % 1.02/1.26 (step @p5441 :rule bool-impl-elim :args (@t144 @t3026)) % 1.02/1.26 (step @p5442 :rule nary_cong :premises (@p806 @p5441) :args ((or @t197 @t3028))) % 1.02/1.26 (step @p5443 :rule trans :premises (@p5442 @p5440)) % 1.02/1.26 (step @p5444 :rule bool-impl-elim :args (@t7 @t3028)) % 1.02/1.26 (step @p5445 :rule trans :premises (@p5444 @p5443)) % 1.02/1.26 (step @p5446 :rule cong :premises (@p5445) :args ((forall @t159 (=> @t7 @t3028)))) % 1.02/1.26 (step @p5447 :rule trans :premises (@p5446 @p5439)) % 1.02/1.26 (step @p5448 :rule eq-symm :args (@t156 tptp.emptyset)) % 1.02/1.26 (step @p5449 :rule cong :premises (@p5448) :args (@t3029)) % 1.02/1.26 (step @p5450 :rule beta-reduce :args ((= @t3030 @t3029))) % 1.02/1.26 (step @p5451 :rule trans :premises (@p5450 @p5449)) % 1.02/1.26 (step @p5452 :rule cong :premises (@p2014 @p5451) :args (@t3031)) % 1.02/1.26 (step @p5453 :rule cong :premises (@p783 @p5452) :args (@t3032)) % 1.02/1.26 (step @p5454 :rule cong :premises (@p5453) :args (@t3033)) % 1.02/1.26 (step @p5455 :rule trans :premises (@p5454 @p5447)) % 1.02/1.26 (step @p5456 :rule refl :args (tptp.nonemptyI)) % 1.02/1.26 (step @p5457 :rule cong :premises (@p5456 @p5455) :args ((= tptp.nonemptyI @t3033))) % 1.02/1.26 (step @p5458 :rule refl :args (@t156)) % 1.02/1.26 (step @p5459 :rule ho_cong :premises (@p189 @p5458)) % 1.02/1.26 (step @p5460 :rule cong :premises (@p2014 @p5459) :args (@t209)) % 1.02/1.26 (step @p5461 :rule cong :premises (@p783 @p5460) :args (@t210)) % 1.02/1.26 (step @p5462 :rule cong :premises (@p5461) :args (@t211)) % 1.02/1.26 (step @p5463 :rule cong :premises (@p5456 @p5462) :args (@t212)) % 1.02/1.26 (step @p5464 :rule trans :premises (@p5463 @p5457)) % 1.02/1.26 (step @p5465 :rule eq_resolve :premises (@p27 @p5464)) % 1.02/1.26 (step @p5466 :rule cong :premises (@p5465 @p5418) :args (@t3034)) % 1.02/1.26 (step @p5467 :rule cong :premises (@p5028 @p5024) :args (@t3035)) % 1.02/1.26 (step @p5468 :rule cong :premises (@p5467) :args (@t3036)) % 1.02/1.26 (step @p5469 :rule trans :premises (@p5468 @p5020)) % 1.02/1.26 (step @p5470 :rule refl :args (tptp.nonemptyE1)) % 1.02/1.26 (step @p5471 :rule cong :premises (@p5470 @p5469) :args ((= tptp.nonemptyE1 @t3036))) % 1.02/1.26 (step @p5472 :rule cong :premises (@p5035 @p5412) :args (@t206)) % 1.02/1.26 (step @p5473 :rule cong :premises (@p5472) :args (@t207)) % 1.02/1.26 (step @p5474 :rule cong :premises (@p5470 @p5473) :args (@t208)) % 1.02/1.26 (step @p5475 :rule trans :premises (@p5474 @p5471)) % 1.02/1.26 (step @p5476 :rule eq_resolve :premises (@p26 @p5475)) % 1.02/1.26 (step @p5477 :rule cong :premises (@p5476 @p5466) :args (@t3037)) % 1.02/1.26 (step @p5478 :rule refl :args (@t1220)) % 1.02/1.26 (step @p5479 :rule cong :premises (@p5478 @p2030) :args (@t3038)) % 1.02/1.26 (step @p5480 :rule nary_cong :premises (@p758 @p5479) :args (@t3039)) % 1.02/1.26 (step @p5481 :rule cong :premises (@p5480) :args ((forall @t159 @t3039))) % 1.02/1.26 (step @p5482 :rule refl :args ((tptp.in @t4 @t156))) % 1.02/1.26 (step @p5483 :rule cong :premises (@p1096 @p5427) :args (@t2285)) % 1.02/1.26 (step @p5484 :rule trans :premises (@p5483 @p5482)) % 1.02/1.26 (step @p5485 :rule ho_cong :premises (@p2201 @p5427)) % 1.02/1.26 (step @p5486 :rule cong :premises (@p5485 @p5484) :args ((= (_ @t5 @t2282) @t2285))) % 1.02/1.26 (step @p5487 :rule symm :premises (@p5486)) % 1.02/1.26 (step @p5488 :rule refl :args (@t157)) % 1.02/1.26 (step @p5489 :rule eq_resolve :premises (@p5488 @p5487)) % 1.02/1.26 (step @p5490 :rule ho_cong :premises (@p2201 @p5434)) % 1.02/1.26 (step @p5491 :rule trans :premises (@p5490 @p5489)) % 1.02/1.26 (step @p5492 :rule cong :premises (@p1846 @p5491) :args (@t3040)) % 1.02/1.26 (step @p5493 :rule nary_cong :premises (@p649 @p5492) :args (@t3041)) % 1.02/1.26 (step @p5494 :rule cong :premises (@p5493) :args ((forall @t159 @t3041))) % 1.02/1.26 (step @p5495 :rule trans :premises (@p5494 @p5481)) % 1.02/1.26 (step @p5496 :rule bool-impl-elim :args (@t7 @t3040)) % 1.02/1.26 (step @p5497 :rule cong :premises (@p5496) :args ((forall @t159 (=> @t7 @t3040)))) % 1.02/1.26 (step @p5498 :rule trans :premises (@p5497 @p5495)) % 1.02/1.26 (step @p5499 :rule eq-symm :args (@t157 @t144)) % 1.02/1.26 (step @p5500 :rule cong :premises (@p783 @p5499) :args (@t202)) % 1.02/1.26 (step @p5501 :rule cong :premises (@p5500) :args (@t203)) % 1.02/1.26 (step @p5502 :rule trans :premises (@p5501 @p5498)) % 1.02/1.26 (step @p5503 :rule refl :args (tptp.setbeta)) % 1.02/1.26 (step @p5504 :rule cong :premises (@p5503 @p5502) :args (@t204)) % 1.02/1.26 (step @p5505 :rule eq_resolve :premises (@p25 @p5504)) % 1.02/1.26 (step @p5506 :rule cong :premises (@p5505 @p5477) :args (@t3042)) % 1.02/1.26 (step @p5507 :rule eq-symm :args (@t1586 tptp.noeltsimpempty)) % 1.02/1.26 (step @p5508 :rule refl :args (tptp.noeltsimpempty)) % 1.02/1.26 (step @p5509 :rule bool-impl-elim :args (@t1524 @t196)) % 1.02/1.26 (step @p5510 :rule cong :premises (@p5509) :args ((forall @t64 (=> @t1524 @t196)))) % 1.02/1.26 (step @p5511 :rule refl :args (@t196)) % 1.02/1.26 (step @p5512 :rule cong :premises (@p5021 @p5511) :args (@t199)) % 1.02/1.26 (step @p5513 :rule cong :premises (@p5512) :args (@t200)) % 1.02/1.26 (step @p5514 :rule trans :premises (@p5513 @p5510)) % 1.02/1.26 (step @p5515 :rule cong :premises (@p5514 @p5508) :args ((= @t200 tptp.noeltsimpempty))) % 1.02/1.26 (step @p5516 :rule trans :premises (@p5515 @p5507)) % 1.02/1.26 (step @p5517 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 1.02/1.26 (step @p5518 :rule trans :premises (@p5517 @p5516)) % 1.02/1.26 (step @p5519 :rule eq_resolve :premises (@p24 @p5518)) % 1.02/1.26 (step @p5520 :rule cong :premises (@p5519 @p5506) :args (@t3043)) % 1.02/1.26 (step @p5521 :rule refl :args (tptp.emptyI)) % 1.02/1.26 (step @p5522 :rule cong :premises (@p5521 @p5514) :args (@t201)) % 1.02/1.26 (step @p5523 :rule eq_resolve :premises (@p23 @p5522)) % 1.02/1.26 (step @p5524 :rule cong :premises (@p5523 @p5520) :args (@t3044)) % 1.02/1.26 (step @p5525 :rule aci_norm :args ((= (or @t1435 (or @t1555 @t3)) @t1589))) % 1.02/1.26 (step @p5526 :rule bool-impl-elim :args (@t1554 @t3)) % 1.02/1.26 (step @p5527 :rule nary_cong :premises (@p3843 @p5526) :args ((or @t1435 @t3045))) % 1.02/1.26 (step @p5528 :rule trans :premises (@p5527 @p5525)) % 1.02/1.26 (step @p5529 :rule bool-impl-elim :args (@t1434 @t3045)) % 1.02/1.26 (step @p5530 :rule trans :premises (@p5529 @p5528)) % 1.02/1.26 (step @p5531 :rule cong :premises (@p5530) :args ((forall @t12 (=> @t1434 @t3045)))) % 1.02/1.26 (step @p5532 :rule cong :premises (@p5229 @p4025) :args (@t190)) % 1.02/1.26 (step @p5533 :rule cong :premises (@p3852 @p5532) :args (@t193)) % 1.02/1.26 (step @p5534 :rule cong :premises (@p5533) :args (@t194)) % 1.02/1.26 (step @p5535 :rule trans :premises (@p5534 @p5531)) % 1.02/1.26 (step @p5536 :rule refl :args (tptp.setext)) % 1.02/1.26 (step @p5537 :rule cong :premises (@p5536 @p5535) :args (@t195)) % 1.02/1.26 (step @p5538 :rule eq_resolve :premises (@p22 @p5537)) % 1.02/1.26 (step @p5539 :rule cong :premises (@p5538 @p5524) :args (@t3046)) % 1.02/1.26 (step @p5540 :rule eq-symm :args (@t1592 @t19)) % 1.02/1.26 (step @p5541 :rule nary_cong :premises (@p4040 @p5540) :args (@t3047)) % 1.02/1.26 (step @p5542 :rule cong :premises (@p5541) :args (@t3048)) % 1.02/1.26 (step @p5543 :rule cong :premises (@p5542) :args (@t3049)) % 1.02/1.26 (step @p5544 :rule refl :args (@t1593)) % 1.02/1.26 (step @p5545 :rule refl :args (@t1595)) % 1.02/1.26 (step @p5546 :rule nary_cong :premises (@p5545 @p5544 @p5543) :args (@t3050)) % 1.02/1.26 (step @p5547 :rule aci_norm :args ((= @t3052 @t3050))) % 1.02/1.26 (step @p5548 :rule trans :premises (@p5547 @p5546)) % 1.02/1.26 (step @p5549 :rule cong :premises (@p5548) :args (@t3053)) % 1.02/1.26 (step @p5550 :rule quant-merge-prenex :args ((= (forall @t150 @t3055) @t3053))) % 1.02/1.26 (step @p5551 :rule refl :args (@t1595)) % 1.02/1.26 (step @p5552 :rule alpha_equiv :args (@t3056 (@list @t1592) @t1906)) % 1.02/1.26 (step @p5553 :rule nary_cong :premises (@p5552 @p5551) :args (@t3057)) % 1.02/1.26 (step @p5554 :rule quant-miniscope-or :args ((= @t3055 @t3057))) % 1.02/1.26 (step @p5555 :rule trans :premises (@p5554 @p5553)) % 1.02/1.26 (step @p5556 :rule symm :premises (@p5555)) % 1.02/1.26 (step @p5557 :rule cong :premises (@p5556) :args ((forall @t150 (or @t1476 @t1595)))) % 1.02/1.26 (step @p5558 :rule trans :premises (@p5557 @p5550)) % 1.02/1.26 (step @p5559 :rule trans :premises (@p5558 @p5549)) % 1.02/1.26 (step @p5560 :rule nary_cong :premises (@p4108 @p5551) :args ((or @t2680 @t1595))) % 1.02/1.26 (step @p5561 :rule bool-impl-elim :args (@t1477 @t1595)) % 1.02/1.26 (step @p5562 :rule trans :premises (@p5561 @p5560)) % 1.02/1.26 (step @p5563 :rule cong :premises (@p5562) :args ((forall @t150 (=> @t1477 @t1595)))) % 1.02/1.26 (step @p5564 :rule trans :premises (@p5563 @p5559)) % 1.02/1.26 (step @p5565 :rule cong :premises (@p4160 @p4643) :args (@t3058)) % 1.02/1.26 (step @p5566 :rule cong :premises (@p5565) :args (@t3059)) % 1.02/1.26 (step @p5567 :rule trans :premises (@p5566 @p5564)) % 1.02/1.26 (step @p5568 :rule refl :args (tptp.exuE3e)) % 1.02/1.26 (step @p5569 :rule cong :premises (@p5568 @p5567) :args ((= tptp.exuE3e @t3059))) % 1.02/1.26 (step @p5570 :rule cong :premises (@p4203 @p4650) :args (@t187)) % 1.02/1.26 (step @p5571 :rule cong :premises (@p5570) :args (@t188)) % 1.02/1.26 (step @p5572 :rule cong :premises (@p5568 @p5571) :args (@t189)) % 1.02/1.26 (step @p5573 :rule trans :premises (@p5572 @p5569)) % 1.02/1.26 (step @p5574 :rule eq_resolve :premises (@p21 @p5573)) % 1.02/1.26 (step @p5575 :rule cong :premises (@p5574 @p5539) :args (@t3060)) % 1.02/1.26 (step @p5576 :rule eq-symm :args (@t1599 tptp.notinemptyset)) % 1.02/1.26 (step @p5577 :rule refl :args (tptp.notinemptyset)) % 1.02/1.26 (step @p5578 :rule cong :premises (@p4863) :args (@t17)) % 1.02/1.26 (step @p5579 :rule cong :premises (@p5578 @p5577) :args ((= @t17 tptp.notinemptyset))) % 1.02/1.26 (step @p5580 :rule trans :premises (@p5579 @p5576)) % 1.02/1.26 (step @p5581 :rule eq-symm :args (tptp.notinemptyset @t17)) % 1.02/1.26 (step @p5582 :rule trans :premises (@p5581 @p5580)) % 1.02/1.26 (step @p5583 :rule eq_resolve :premises (@p20 @p5582)) % 1.02/1.26 (step @p5584 :rule cong :premises (@p5583 @p5575) :args (@t3061)) % 1.02/1.26 (step @p5585 :rule bool-impl-false1 :args (@t15)) % 1.02/1.26 (step @p5586 :rule cong :premises (@p5585) :args (@t184)) % 1.02/1.26 (step @p5587 :rule trans :premises (@p5586 @p5578)) % 1.02/1.26 (step @p5588 :rule refl :args (tptp.emptysetimpfalse)) % 1.02/1.26 (step @p5589 :rule cong :premises (@p5588 @p5587) :args (@t185)) % 1.02/1.26 (step @p5590 :rule eq_resolve :premises (@p19 @p5589)) % 1.02/1.26 (step @p5591 :rule cong :premises (@p5590 @p5584) :args (@t3062)) % 1.02/1.26 (step @p5592 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2456 @t173)) false))) % 1.02/1.26 (step @p5593 :rule nary_cong :premises (@p2882 @p2874) :args (@t3063)) % 1.02/1.26 (step @p5594 :rule aci_norm :args ((= @t173 @t3063))) % 1.02/1.26 (step @p5595 :rule trans :premises (@p5594 @p5593)) % 1.02/1.26 (step @p5596 :rule cong :premises (@p5595) :args (@t180)) % 1.02/1.26 (step @p5597 :rule trans :premises (@p5596 @p5592)) % 1.02/1.26 (step @p5598 :rule refl :args (@t15)) % 1.02/1.26 (step @p5599 :rule cong :premises (@p5598 @p5597) :args (@t181)) % 1.02/1.26 (step @p5600 :rule trans :premises (@p5599 @p5585)) % 1.02/1.26 (step @p5601 :rule cong :premises (@p5600) :args (@t182)) % 1.02/1.26 (step @p5602 :rule trans :premises (@p5601 @p5578)) % 1.02/1.26 (step @p5603 :rule refl :args (tptp.emptysetE)) % 1.02/1.26 (step @p5604 :rule cong :premises (@p5603 @p5602) :args (@t183)) % 1.02/1.26 (step @p5605 :rule eq_resolve :premises (@p18 @p5604)) % 1.02/1.26 (step @p5606 :rule cong :premises (@p5605 @p5591) :args (@t3064)) % 1.02/1.26 (step @p5607 :rule aci_norm :args ((= @t3065 @t1603))) % 1.02/1.26 (step @p5608 :rule cong :premises (@p5607) :args ((forall @t9 @t3065))) % 1.02/1.26 (step @p5609 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2456 @t3067 @t173)) @t3065))) % 1.02/1.26 (step @p5610 :rule refl :args (@t3067)) % 1.02/1.26 (step @p5611 :rule nary_cong :premises (@p2882 @p5610 @p2874) :args (@t3068)) % 1.02/1.26 (step @p5612 :rule aci_norm :args ((= @t3069 @t3068))) % 1.02/1.26 (step @p5613 :rule trans :premises (@p5612 @p5611)) % 1.02/1.26 (step @p5614 :rule cong :premises (@p5613) :args (@t3070)) % 1.02/1.26 (step @p5615 :rule trans :premises (@p5614 @p5609)) % 1.02/1.26 (step @p5616 :rule cong :premises (@p5615) :args (@t3071)) % 1.02/1.26 (step @p5617 :rule quant-merge-prenex :args ((= @t3071 @t3072))) % 1.02/1.26 (step @p5618 :rule symm :premises (@p5617)) % 1.02/1.26 (step @p5619 :rule quant_var_reordering :args ((= (forall @t176 @t3069) @t3072))) % 1.02/1.26 (step @p5620 :rule trans :premises (@p5619 @p5618 @p5616)) % 1.02/1.26 (step @p5621 :rule trans :premises (@p5620 @p5608)) % 1.02/1.26 (step @p5622 :rule refl :args ((tptp.in @t4 @t174))) % 1.02/1.26 (step @p5623 :rule cong :premises (@p1096 @p4764) :args (@t3066)) % 1.02/1.26 (step @p5624 :rule trans :premises (@p5623 @p5622)) % 1.02/1.26 (step @p5625 :rule ho_cong :premises (@p2201 @p4764)) % 1.02/1.26 (step @p5626 :rule cong :premises (@p5625 @p5624) :args ((= (_ @t5 @t2886) @t3066))) % 1.02/1.26 (step @p5627 :rule symm :premises (@p5626)) % 1.02/1.26 (step @p5628 :rule refl :args (@t175)) % 1.02/1.26 (step @p5629 :rule eq_resolve :premises (@p5628 @p5627)) % 1.02/1.26 (step @p5630 :rule ho_cong :premises (@p2201 @p4776)) % 1.02/1.26 (step @p5631 :rule trans :premises (@p5630 @p5629)) % 1.02/1.26 (step @p5632 :rule cong :premises (@p5631) :args (@t3073)) % 1.02/1.26 (step @p5633 :rule nary_cong :premises (@p5632 @p2874) :args (@t3074)) % 1.02/1.26 (step @p5634 :rule cong :premises (@p5633) :args ((forall @t176 @t3074))) % 1.02/1.26 (step @p5635 :rule trans :premises (@p5634 @p5621)) % 1.02/1.26 (step @p5636 :rule bool-impl-elim :args (@t175 @t173)) % 1.02/1.26 (step @p5637 :rule cong :premises (@p5636) :args (@t177)) % 1.02/1.26 (step @p5638 :rule trans :premises (@p5637 @p5635)) % 1.02/1.26 (step @p5639 :rule refl :args (tptp.prop2setE)) % 1.02/1.26 (step @p5640 :rule cong :premises (@p5639 @p5638) :args (@t178)) % 1.02/1.26 (step @p5641 :rule eq_resolve :premises (@p17 @p5640)) % 1.02/1.26 (step @p5642 :rule cong :premises (@p5641 @p5606) :args (@t3075)) % 1.02/1.26 (step @p5643 :rule bool-eq-true :args (tptp.exuE1)) % 1.02/1.26 (step @p5644 :rule symm :premises (@p5643)) % 1.02/1.26 (step @p5645 :rule cong :premises (@p4160 @p4198) :args (@t3076)) % 1.02/1.26 (step @p5646 :rule cong :premises (@p5645) :args (@t3077)) % 1.02/1.26 (step @p5647 :rule trans :premises (@p5646 @p4666)) % 1.02/1.26 (step @p5648 :rule refl :args (tptp.exuE1)) % 1.02/1.26 (step @p5649 :rule cong :premises (@p5648 @p5647) :args ((= tptp.exuE1 @t3077))) % 1.02/1.26 (step @p5650 :rule trans :premises (@p5649 @p5643)) % 1.02/1.26 (step @p5651 :rule cong :premises (@p4203 @p4673) :args (@t170)) % 1.02/1.26 (step @p5652 :rule cong :premises (@p5651) :args (@t171)) % 1.02/1.26 (step @p5653 :rule cong :premises (@p5648 @p5652) :args (@t172)) % 1.02/1.26 (step @p5654 :rule trans :premises (@p5653 @p5650)) % 1.02/1.26 (step @p5655 :rule eq_resolve :premises (@p16 @p5654)) % 1.02/1.26 (step @p5656 :rule eq_resolve :premises (@p5655 @p5644)) % 1.02/1.26 (step @p5657 :rule cong :premises (@p5656 @p5642) :args (@t3078)) % 1.02/1.26 (step @p5658 :rule nary_cong :premises (@p2031 @p5478) :args (@t3079)) % 1.02/1.26 (step @p5659 :rule cong :premises (@p5658) :args ((forall @t159 @t3079))) % 1.02/1.26 (step @p5660 :rule cong :premises (@p5491) :args (@t3080)) % 1.02/1.26 (step @p5661 :rule nary_cong :premises (@p5660 @p1846) :args (@t3081)) % 1.02/1.26 (step @p5662 :rule cong :premises (@p5661) :args ((forall @t159 @t3081))) % 1.02/1.26 (step @p5663 :rule trans :premises (@p5662 @p5659)) % 1.02/1.26 (step @p5664 :rule bool-impl-elim :args (@t157 @t144)) % 1.02/1.26 (step @p5665 :rule cong :premises (@p5664) :args (@t164)) % 1.02/1.26 (step @p5666 :rule trans :premises (@p5665 @p5663)) % 1.02/1.26 (step @p5667 :rule refl :args (tptp.dsetconstrER)) % 1.02/1.26 (step @p5668 :rule cong :premises (@p5667 @p5666) :args (@t165)) % 1.02/1.26 (step @p5669 :rule eq_resolve :premises (@p15 @p5668)) % 1.02/1.26 (step @p5670 :rule cong :premises (@p5669 @p5657) :args (@t3082)) % 1.02/1.26 (step @p5671 :rule nary_cong :premises (@p2031 @p2867) :args (@t3083)) % 1.02/1.26 (step @p5672 :rule cong :premises (@p5671) :args ((forall @t159 @t3083))) % 1.02/1.26 (step @p5673 :rule nary_cong :premises (@p5660 @p648) :args (@t3084)) % 1.02/1.26 (step @p5674 :rule cong :premises (@p5673) :args ((forall @t159 @t3084))) % 1.02/1.26 (step @p5675 :rule trans :premises (@p5674 @p5672)) % 1.02/1.26 (step @p5676 :rule bool-impl-elim :args (@t157 @t7)) % 1.02/1.26 (step @p5677 :rule cong :premises (@p5676) :args (@t162)) % 1.02/1.26 (step @p5678 :rule trans :premises (@p5677 @p5675)) % 1.02/1.26 (step @p5679 :rule refl :args (tptp.dsetconstrEL)) % 1.02/1.26 (step @p5680 :rule cong :premises (@p5679 @p5678) :args (@t163)) % 1.02/1.26 (step @p5681 :rule eq_resolve :premises (@p14 @p5680)) % 1.02/1.26 (step @p5682 :rule cong :premises (@p5681 @p5670) :args (@t3085)) % 1.02/1.26 (step @p5683 :rule nary_cong :premises (@p758 @p5421 @p2030) :args (@t3086)) % 1.02/1.26 (step @p5684 :rule cong :premises (@p5683) :args ((forall @t159 @t3086))) % 1.02/1.26 (step @p5685 :rule nary_cong :premises (@p649 @p1847 @p5491) :args (@t3087)) % 1.02/1.26 (step @p5686 :rule cong :premises (@p5685) :args ((forall @t159 @t3087))) % 1.02/1.26 (step @p5687 :rule trans :premises (@p5686 @p5684)) % 1.02/1.26 (step @p5688 :rule aci_norm :args ((= (or @t197 (or @t315 @t157)) @t3087))) % 1.02/1.26 (step @p5689 :rule bool-impl-elim :args (@t144 @t157)) % 1.02/1.26 (step @p5690 :rule nary_cong :premises (@p806 @p5689) :args ((or @t197 @t158))) % 1.02/1.26 (step @p5691 :rule trans :premises (@p5690 @p5688)) % 1.02/1.26 (step @p5692 :rule bool-impl-elim :args (@t7 @t158)) % 1.02/1.26 (step @p5693 :rule trans :premises (@p5692 @p5691)) % 1.02/1.26 (step @p5694 :rule cong :premises (@p5693) :args (@t160)) % 1.02/1.26 (step @p5695 :rule trans :premises (@p5694 @p5687)) % 1.02/1.26 (step @p5696 :rule refl :args (tptp.dsetconstrI)) % 1.02/1.26 (step @p5697 :rule cong :premises (@p5696 @p5695) :args (@t161)) % 1.02/1.26 (step @p5698 :rule eq_resolve :premises (@p13 @p5697)) % 1.02/1.26 (step @p5699 :rule cong :premises (@p5698 @p5682) :args (@t3088)) % 1.02/1.26 (step @p5700 :rule eq-symm :args (@t1612 @t19)) % 1.02/1.26 (step @p5701 :rule nary_cong :premises (@p4040 @p5700) :args (@t3089)) % 1.02/1.26 (step @p5702 :rule cong :premises (@p5701) :args (@t3090)) % 1.02/1.26 (step @p5703 :rule cong :premises (@p5702) :args (@t3091)) % 1.02/1.26 (step @p5704 :rule refl :args (@t1613)) % 1.02/1.26 (step @p5705 :rule refl :args (@t1614)) % 1.02/1.26 (step @p5706 :rule nary_cong :premises (@p5705 @p5704 @p5703) :args (@t3092)) % 1.02/1.26 (step @p5707 :rule aci_norm :args ((= @t3094 @t3092))) % 1.02/1.26 (step @p5708 :rule trans :premises (@p5707 @p5706)) % 1.02/1.26 (step @p5709 :rule cong :premises (@p5708) :args (@t3095)) % 1.02/1.26 (step @p5710 :rule quant-merge-prenex :args ((= (forall @t150 @t3097) @t3095))) % 1.02/1.26 (step @p5711 :rule refl :args (@t1614)) % 1.02/1.26 (step @p5712 :rule alpha_equiv :args (@t3098 (@list @t1612) @t1906)) % 1.02/1.26 (step @p5713 :rule nary_cong :premises (@p5712 @p5711) :args (@t3099)) % 1.02/1.26 (step @p5714 :rule quant-miniscope-or :args ((= @t3097 @t3099))) % 1.02/1.26 (step @p5715 :rule trans :premises (@p5714 @p5713)) % 1.02/1.26 (step @p5716 :rule symm :premises (@p5715)) % 1.02/1.26 (step @p5717 :rule cong :premises (@p5716) :args ((forall @t150 (or @t1476 @t1614)))) % 1.02/1.26 (step @p5718 :rule trans :premises (@p5717 @p5710)) % 1.02/1.26 (step @p5719 :rule trans :premises (@p5718 @p5709)) % 1.02/1.26 (step @p5720 :rule cong :premises (@p4064) :args (@t3100)) % 1.02/1.26 (step @p5721 :rule nary_cong :premises (@p4067 @p5720) :args (@t3101)) % 1.02/1.26 (step @p5722 :rule cong :premises (@p5721) :args ((forall @t150 @t3101))) % 1.02/1.26 (step @p5723 :rule trans :premises (@p5722 @p5719)) % 1.02/1.26 (step @p5724 :rule refl :args ((_ @t143 @t146))) % 1.02/1.26 (step @p5725 :rule cong :premises (@p4084) :args (@t3100)) % 1.02/1.26 (step @p5726 :rule trans :premises (@p5725 @p5724)) % 1.02/1.26 (step @p5727 :rule refl :args (@t143)) % 1.02/1.26 (step @p5728 :rule ho_cong :premises (@p5727 @p4084)) % 1.02/1.26 (step @p5729 :rule cong :premises (@p5728 @p5726) :args ((= (_ @t143 @t2674) @t3100))) % 1.02/1.26 (step @p5730 :rule symm :premises (@p5729)) % 1.02/1.26 (step @p5731 :rule refl :args (@t147)) % 1.02/1.26 (step @p5732 :rule eq_resolve :premises (@p5731 @p5730)) % 1.02/1.26 (step @p5733 :rule ho_cong :premises (@p5727 @p4091)) % 1.02/1.26 (step @p5734 :rule trans :premises (@p5733 @p5732)) % 1.02/1.26 (step @p5735 :rule nary_cong :premises (@p4094 @p5734) :args (@t3102)) % 1.02/1.26 (step @p5736 :rule cong :premises (@p5735) :args ((forall @t150 @t3102))) % 1.02/1.26 (step @p5737 :rule trans :premises (@p5736 @p5723)) % 1.02/1.26 (step @p5738 :rule nary_cong :premises (@p4108 @p5731) :args ((or @t2680 @t147))) % 1.02/1.26 (step @p5739 :rule bool-impl-elim :args (@t1477 @t147)) % 1.02/1.26 (step @p5740 :rule trans :premises (@p5739 @p5738)) % 1.02/1.26 (step @p5741 :rule cong :premises (@p5740) :args ((forall @t150 (=> @t1477 @t147)))) % 1.02/1.26 (step @p5742 :rule trans :premises (@p5741 @p5737)) % 1.02/1.26 (step @p5743 :rule refl :args (@t147)) % 1.02/1.26 (step @p5744 :rule cong :premises (@p4160 @p5743) :args (@t3103)) % 1.02/1.26 (step @p5745 :rule cong :premises (@p5744) :args (@t3104)) % 1.02/1.26 (step @p5746 :rule trans :premises (@p5745 @p5742)) % 1.02/1.26 (step @p5747 :rule refl :args (tptp.descrp)) % 1.02/1.26 (step @p5748 :rule cong :premises (@p5747 @p5746) :args ((= tptp.descrp @t3104))) % 1.02/1.26 (step @p5749 :rule cong :premises (@p4203 @p5743) :args (@t149)) % 1.02/1.26 (step @p5750 :rule cong :premises (@p5749) :args (@t151)) % 1.02/1.26 (step @p5751 :rule cong :premises (@p5747 @p5750) :args (@t152)) % 1.02/1.26 (step @p5752 :rule trans :premises (@p5751 @p5748)) % 1.02/1.26 (step @p5753 :rule eq_resolve :premises (@p12 @p5752)) % 1.02/1.26 (step @p5754 :rule cong :premises (@p5753 @p5699) :args (@t3105)) % 1.02/1.26 (step @p5755 :rule aci_norm :args ((= (or @t1666 (or @t1659 (or @t1655 @t1643))) @t1667))) % 1.02/1.26 (step @p5756 :rule bool-and-de-morgan :args (@t1654 @t1642 true)) % 1.02/1.26 (step @p5757 :rule refl :args (@t1659)) % 1.02/1.26 (step @p5758 :rule nary_cong :premises (@p5757 @p5756) :args ((or @t1659 (not (and @t1654 @t1642))))) % 1.02/1.26 (step @p5759 :rule bool-and-de-morgan :args (@t1658 @t1654 (and @t1642))) % 1.02/1.26 (step @p5760 :rule trans :premises (@p5759 @p5758)) % 1.02/1.26 (step @p5761 :rule refl :args (@t1666)) % 1.02/1.26 (step @p5762 :rule nary_cong :premises (@p5761 @p5760) :args ((or @t1666 (not (and @t1658 @t1654 @t1642))))) % 1.02/1.26 (step @p5763 :rule bool-and-de-morgan :args (@t1665 @t1658 (and @t1654 @t1642))) % 1.02/1.26 (step @p5764 :rule trans :premises (@p5763 @p5762)) % 1.02/1.26 (step @p5765 :rule trans :premises (@p5764 @p5755)) % 1.02/1.26 (step @p5766 :rule cong :premises (@p5765) :args (@t3107)) % 1.02/1.26 (step @p5767 :rule cong :premises (@p5766) :args (@t3108)) % 1.02/1.26 (step @p5768 :rule exists-elim :args ((= (exists @t41 @t3106) @t3108))) % 1.02/1.26 (step @p5769 :rule trans :premises (@p5768 @p5767)) % 1.02/1.26 (step @p5770 :rule quant-merge-prenex :args ((= (forall @t118 @t3110) @t1642))) % 1.02/1.26 (step @p5771 :rule refl :args (@t1636)) % 1.02/1.26 (step @p5772 :rule alpha_equiv :args (@t3111 (@list @t1637) @t1906)) % 1.02/1.26 (step @p5773 :rule refl :args (@t1640)) % 1.02/1.26 (step @p5774 :rule nary_cong :premises (@p5773 @p5772 @p5771) :args (@t3112)) % 1.02/1.26 (step @p5775 :rule quant-miniscope-or :args ((= @t3110 @t3112))) % 1.02/1.26 (step @p5776 :rule trans :premises (@p5775 @p5774)) % 1.02/1.26 (step @p5777 :rule symm :premises (@p5776)) % 1.02/1.26 (step @p5778 :rule cong :premises (@p5777) :args ((forall @t118 @t3114))) % 1.02/1.26 (step @p5779 :rule trans :premises (@p5778 @p5770)) % 1.02/1.26 (step @p5780 :rule aci_norm :args ((= (or (or @t1640 @t3113) @t1636) @t3114))) % 1.02/1.26 (step @p5781 :rule bool-double-not-elim :args (@t3113)) % 1.02/1.26 (step @p5782 :rule nary_cong :premises (@p5773 @p5781) :args ((or @t1640 (not @t3115)))) % 1.02/1.26 (step @p5783 :rule bool-and-de-morgan :args (@t1639 @t3115 true)) % 1.02/1.26 (step @p5784 :rule trans :premises (@p5783 @p5782)) % 1.02/1.26 (step @p5785 :rule nary_cong :premises (@p5784 @p5771) :args ((or (not @t3116) @t1636))) % 1.02/1.26 (step @p5786 :rule trans :premises (@p5785 @p5780)) % 1.02/1.26 (step @p5787 :rule bool-impl-elim :args (@t3116 @t1636)) % 1.02/1.26 (step @p5788 :rule trans :premises (@p5787 @p5786)) % 1.02/1.26 (step @p5789 :rule cong :premises (@p5788) :args ((forall @t118 (=> @t3116 @t1636)))) % 1.02/1.26 (step @p5790 :rule trans :premises (@p5789 @p5779)) % 1.02/1.26 (step @p5791 :rule refl :args (@t1627)) % 1.02/1.26 (step @p5792 :rule refl :args (@t1631)) % 1.02/1.26 (step @p5793 :rule refl :args (@t1632)) % 1.02/1.26 (step @p5794 :rule refl :args (@t109)) % 1.02/1.26 (step @p5795 :rule cong :premises (@p5794 @p5793) :args ((= @t109 @t1632))) % 1.02/1.26 (step @p5796 :rule symm :premises (@p5795)) % 1.02/1.26 (step @p5797 :rule eq_resolve :premises (@p5794 @p5796)) % 1.02/1.26 (step @p5798 :rule cong :premises (@p5797) :args (@t3117)) % 1.02/1.26 (step @p5799 :rule refl :args (@t1634)) % 1.02/1.26 (step @p5800 :rule refl :args (@t110)) % 1.02/1.26 (step @p5801 :rule cong :premises (@p5800 @p5799) :args ((= @t110 @t1634))) % 1.02/1.26 (step @p5802 :rule symm :premises (@p5801)) % 1.02/1.26 (step @p5803 :rule eq_resolve :premises (@p5800 @p5802)) % 1.02/1.26 (step @p5804 :rule cong :premises (@p5803) :args (@t3118)) % 1.02/1.26 (step @p5805 :rule nary_cong :premises (@p5804 @p5798 @p5792 @p5791) :args (@t3119)) % 1.02/1.26 (step @p5806 :rule cong :premises (@p5805) :args ((forall @t112 @t3119))) % 1.02/1.26 (step @p5807 :rule aci_norm :args ((= (or @t3118 (or @t3117 (or @t1631 @t1627))) @t3119))) % 1.02/1.26 (step @p5808 :rule bool-and-de-morgan :args (@t1630 @t1626 true)) % 1.02/1.26 (step @p5809 :rule refl :args (@t3117)) % 1.02/1.26 (step @p5810 :rule nary_cong :premises (@p5809 @p5808) :args ((or @t3117 (not (and @t1630 @t1626))))) % 1.02/1.26 (step @p5811 :rule bool-and-de-morgan :args (@t109 @t1630 (and @t1626))) % 1.02/1.26 (step @p5812 :rule trans :premises (@p5811 @p5810)) % 1.02/1.26 (step @p5813 :rule refl :args (@t3118)) % 1.02/1.26 (step @p5814 :rule nary_cong :premises (@p5813 @p5812) :args ((or @t3118 (not (and @t109 @t1630 @t1626))))) % 1.02/1.26 (step @p5815 :rule bool-and-de-morgan :args (@t110 @t109 (and @t1630 @t1626))) % 1.02/1.26 (step @p5816 :rule trans :premises (@p5815 @p5814)) % 1.02/1.26 (step @p5817 :rule trans :premises (@p5816 @p5807)) % 1.02/1.26 (step @p5818 :rule cong :premises (@p5817) :args (@t3121)) % 1.02/1.26 (step @p5819 :rule trans :premises (@p5818 @p5806)) % 1.02/1.26 (step @p5820 :rule cong :premises (@p5819) :args (@t3122)) % 1.02/1.26 (step @p5821 :rule exists-elim :args ((= (exists @t112 @t3120) @t3122))) % 1.02/1.26 (step @p5822 :rule trans :premises (@p5821 @p5820)) % 1.02/1.26 (step @p5823 :rule aci_norm :args ((= @t3124 @t1624))) % 1.02/1.26 (step @p5824 :rule cong :premises (@p5823) :args (@t3125)) % 1.02/1.26 (step @p5825 :rule quant-merge-prenex :args ((= (forall @t102 @t3127) @t3125))) % 1.02/1.26 (step @p5826 :rule refl :args (@t1621)) % 1.02/1.26 (step @p5827 :rule alpha_equiv :args (@t3128 (@list @t1618) @t1901)) % 1.02/1.26 (step @p5828 :rule refl :args (@t1623)) % 1.02/1.26 (step @p5829 :rule nary_cong :premises (@p5828 @p5827 @p5826) :args (@t3129)) % 1.02/1.26 (step @p5830 :rule quant-miniscope-or :args ((= @t3127 @t3129))) % 1.02/1.26 (step @p5831 :rule trans :premises (@p5830 @p5829)) % 1.02/1.26 (step @p5832 :rule symm :premises (@p5831)) % 1.02/1.26 (step @p5833 :rule cong :premises (@p5832) :args ((forall @t102 (or @t1623 @t3131 @t1621)))) % 1.02/1.26 (step @p5834 :rule trans :premises (@p5833 @p5825)) % 1.02/1.26 (step @p5835 :rule trans :premises (@p5834 @p5824)) % 1.02/1.26 (step @p5836 :rule refl :args (@t1621)) % 1.02/1.26 (step @p5837 :rule refl :args (@t94)) % 1.02/1.26 (step @p5838 :rule cong :premises (@p5837 @p5836) :args ((= @t94 @t1621))) % 1.02/1.26 (step @p5839 :rule symm :premises (@p5838)) % 1.02/1.26 (step @p5840 :rule eq_resolve :premises (@p5837 @p5839)) % 1.02/1.26 (step @p5841 :rule refl :args (@t3131)) % 1.02/1.26 (step @p5842 :rule refl :args (@t1622)) % 1.02/1.26 (step @p5843 :rule refl :args (@t100)) % 1.02/1.26 (step @p5844 :rule cong :premises (@p5843 @p5842) :args ((= @t100 @t1622))) % 1.02/1.26 (step @p5845 :rule symm :premises (@p5844)) % 1.02/1.26 (step @p5846 :rule eq_resolve :premises (@p5843 @p5845)) % 1.02/1.26 (step @p5847 :rule cong :premises (@p5846) :args (@t3132)) % 1.02/1.26 (step @p5848 :rule nary_cong :premises (@p5847 @p5841 @p5840) :args (@t3133)) % 1.02/1.26 (step @p5849 :rule cong :premises (@p5848) :args ((forall @t102 @t3133))) % 1.02/1.26 (step @p5850 :rule trans :premises (@p5849 @p5835)) % 1.02/1.26 (step @p5851 :rule aci_norm :args ((= (or @t3132 @t3134) @t3133))) % 1.02/1.26 (step @p5852 :rule bool-impl-elim :args (@t100 @t3134)) % 1.02/1.26 (step @p5853 :rule trans :premises (@p5852 @p5851)) % 1.02/1.26 (step @p5854 :rule cong :premises (@p5853) :args ((forall @t102 (=> @t100 @t3134)))) % 1.02/1.26 (step @p5855 :rule trans :premises (@p5854 @p5850)) % 1.02/1.26 (step @p5856 :rule refl :args (@t94)) % 1.02/1.26 (step @p5857 :rule refl :args (@t1629)) % 1.02/1.26 (step @p5858 :rule refl :args (@t96)) % 1.02/1.26 (step @p5859 :rule cong :premises (@p5858 @p5857) :args ((= @t96 @t1629))) % 1.02/1.26 (step @p5860 :rule symm :premises (@p5859)) % 1.02/1.26 (step @p5861 :rule eq_resolve :premises (@p5858 @p5860)) % 1.02/1.26 (step @p5862 :rule refl :args (@t3130)) % 1.02/1.26 (step @p5863 :rule refl :args (@t97)) % 1.02/1.26 (step @p5864 :rule cong :premises (@p5863 @p5862) :args ((= @t97 @t3130))) % 1.02/1.26 (step @p5865 :rule symm :premises (@p5864)) % 1.02/1.26 (step @p5866 :rule eq_resolve :premises (@p5863 @p5865)) % 1.02/1.26 (step @p5867 :rule cong :premises (@p5866) :args (@t3135)) % 1.02/1.26 (step @p5868 :rule nary_cong :premises (@p5867 @p5861) :args (@t3136)) % 1.02/1.26 (step @p5869 :rule cong :premises (@p5868) :args ((forall @t70 @t3136))) % 1.02/1.26 (step @p5870 :rule bool-impl-elim :args (@t97 @t96)) % 1.02/1.26 (step @p5871 :rule cong :premises (@p5870) :args (@t98)) % 1.02/1.26 (step @p5872 :rule trans :premises (@p5871 @p5869)) % 1.02/1.26 (step @p5873 :rule nary_cong :premises (@p5872 @p5856) :args (@t99)) % 1.02/1.26 (step @p5874 :rule refl :args (@t100)) % 1.02/1.26 (step @p5875 :rule cong :premises (@p5874 @p5873) :args (@t101)) % 1.02/1.26 (step @p5876 :rule cong :premises (@p5875) :args (@t103)) % 1.02/1.26 (step @p5877 :rule trans :premises (@p5876 @p5855)) % 1.02/1.26 (step @p5878 :rule bool-double-not-elim :args (@t1630)) % 1.02/1.26 (step @p5879 :rule refl :args (@t1628)) % 1.02/1.26 (step @p5880 :rule refl :args (@t105)) % 1.02/1.26 (step @p5881 :rule cong :premises (@p5880 @p5879) :args ((= @t105 @t1628))) % 1.02/1.26 (step @p5882 :rule symm :premises (@p5881)) % 1.02/1.26 (step @p5883 :rule eq_resolve :premises (@p5880 @p5882)) % 1.02/1.26 (step @p5884 :rule cong :premises (@p5883) :args (@t3137)) % 1.02/1.26 (step @p5885 :rule cong :premises (@p5861) :args (@t3138)) % 1.02/1.26 (step @p5886 :rule nary_cong :premises (@p5885 @p5884) :args (@t3139)) % 1.02/1.26 (step @p5887 :rule cong :premises (@p5886) :args ((forall @t70 @t3139))) % 1.02/1.26 (step @p5888 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 1.02/1.26 (step @p5889 :rule cong :premises (@p5888) :args (@t3140)) % 1.02/1.26 (step @p5890 :rule trans :premises (@p5889 @p5887)) % 1.02/1.26 (step @p5891 :rule cong :premises (@p5890) :args (@t3141)) % 1.02/1.26 (step @p5892 :rule exists-elim :args ((= @t107 @t3141))) % 1.02/1.26 (step @p5893 :rule trans :premises (@p5892 @p5891)) % 1.02/1.26 (step @p5894 :rule cong :premises (@p5893) :args (@t108)) % 1.02/1.26 (step @p5895 :rule trans :premises (@p5894 @p5878)) % 1.02/1.26 (step @p5896 :rule refl :args (@t109)) % 1.02/1.26 (step @p5897 :rule refl :args (@t110)) % 1.02/1.26 (step @p5898 :rule nary_cong :premises (@p5897 @p5896 @p5895 @p5877) :args (@t111)) % 1.02/1.26 (step @p5899 :rule cong :premises (@p5898) :args (@t113)) % 1.02/1.26 (step @p5900 :rule trans :premises (@p5899 @p5822)) % 1.02/1.26 (step @p5901 :rule cong :premises (@p5798) :args (@t3142)) % 1.02/1.26 (step @p5902 :rule cong :premises (@p5901) :args (@t3143)) % 1.02/1.26 (step @p5903 :rule exists-elim :args ((= @t114 @t3143))) % 1.02/1.26 (step @p5904 :rule trans :premises (@p5903 @p5902)) % 1.02/1.26 (step @p5905 :rule nary_cong :premises (@p5798 @p648) :args (@t3144)) % 1.02/1.26 (step @p5906 :rule cong :premises (@p5905) :args ((forall @t9 @t3144))) % 1.02/1.26 (step @p5907 :rule bool-impl-elim :args (@t109 @t7)) % 1.02/1.26 (step @p5908 :rule cong :premises (@p5907) :args (@t115)) % 1.02/1.26 (step @p5909 :rule trans :premises (@p5908 @p5906)) % 1.02/1.26 (step @p5910 :rule nary_cong :premises (@p5909 @p5904) :args (@t116)) % 1.02/1.26 (step @p5911 :rule cong :premises (@p5910 @p5900) :args (@t117)) % 1.02/1.26 (step @p5912 :rule cong :premises (@p5911) :args (@t119)) % 1.02/1.26 (step @p5913 :rule trans :premises (@p5912 @p5790)) % 1.02/1.26 (step @p5914 :rule aci_norm :args ((= @t3147 @t1652))) % 1.02/1.26 (step @p5915 :rule cong :premises (@p5914) :args (@t3148)) % 1.02/1.26 (step @p5916 :rule quant-merge-prenex :args ((= (forall @t127 @t3149) @t3148))) % 1.02/1.26 (step @p5917 :rule alpha_equiv :args (@t3150 (@list @t1644) @t1906)) % 1.02/1.26 (step @p5918 :rule alpha_equiv :args (@t3151 (@list @t1647) @t1906)) % 1.02/1.26 (step @p5919 :rule refl :args (@t1635)) % 1.02/1.26 (step @p5920 :rule refl :args (@t1651)) % 1.02/1.26 (step @p5921 :rule nary_cong :premises (@p5920 @p5919 @p5918 @p5917) :args (@t3152)) % 1.02/1.26 (step @p5922 :rule quant-miniscope-or :args ((= @t3149 @t3152))) % 1.02/1.26 (step @p5923 :rule trans :premises (@p5922 @p5921)) % 1.02/1.26 (step @p5924 :rule symm :premises (@p5923)) % 1.02/1.26 (step @p5925 :rule cong :premises (@p5924) :args ((forall @t127 (or @t1651 @t1635 @t3155 @t3154)))) % 1.02/1.26 (step @p5926 :rule trans :premises (@p5925 @p5916)) % 1.02/1.26 (step @p5927 :rule trans :premises (@p5926 @p5915)) % 1.02/1.26 (step @p5928 :rule refl :args (@t3154)) % 1.02/1.26 (step @p5929 :rule refl :args (@t3155)) % 1.02/1.26 (step @p5930 :rule refl :args (@t1650)) % 1.02/1.26 (step @p5931 :rule refl :args (@t124)) % 1.02/1.26 (step @p5932 :rule cong :premises (@p5931 @p5930) :args ((= @t124 @t1650))) % 1.02/1.26 (step @p5933 :rule symm :premises (@p5932)) % 1.02/1.26 (step @p5934 :rule eq_resolve :premises (@p5931 @p5933)) % 1.02/1.26 (step @p5935 :rule cong :premises (@p5934) :args (@t3156)) % 1.02/1.26 (step @p5936 :rule nary_cong :premises (@p5935 @p5804 @p5929 @p5928) :args (@t3157)) % 1.02/1.26 (step @p5937 :rule cong :premises (@p5936) :args ((forall @t127 @t3157))) % 1.02/1.26 (step @p5938 :rule trans :premises (@p5937 @p5927)) % 1.02/1.26 (step @p5939 :rule aci_norm :args ((= (or (or @t3156 @t3118) @t3158) @t3157))) % 1.02/1.26 (step @p5940 :rule refl :args (@t3158)) % 1.02/1.26 (step @p5941 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 1.02/1.26 (step @p5942 :rule nary_cong :premises (@p5941 @p5940) :args ((or (not @t125) @t3158))) % 1.02/1.26 (step @p5943 :rule trans :premises (@p5942 @p5939)) % 1.02/1.26 (step @p5944 :rule bool-impl-elim :args (@t125 @t3158)) % 1.02/1.26 (step @p5945 :rule trans :premises (@p5944 @p5943)) % 1.02/1.26 (step @p5946 :rule cong :premises (@p5945) :args ((forall @t127 (=> @t125 @t3158)))) % 1.02/1.26 (step @p5947 :rule trans :premises (@p5946 @p5938)) % 1.02/1.26 (step @p5948 :rule refl :args (@t3153)) % 1.02/1.26 (step @p5949 :rule refl :args (@t120)) % 1.02/1.26 (step @p5950 :rule cong :premises (@p5949 @p5948) :args ((= @t120 @t3153))) % 1.02/1.26 (step @p5951 :rule symm :premises (@p5950)) % 1.02/1.26 (step @p5952 :rule eq_resolve :premises (@p5949 @p5951)) % 1.02/1.26 (step @p5953 :rule cong :premises (@p5952) :args (@t3159)) % 1.02/1.26 (step @p5954 :rule nary_cong :premises (@p5953 @p5797) :args (@t3160)) % 1.02/1.26 (step @p5955 :rule cong :premises (@p5954) :args ((forall @t9 @t3160))) % 1.02/1.26 (step @p5956 :rule bool-impl-elim :args (@t120 @t109)) % 1.02/1.26 (step @p5957 :rule cong :premises (@p5956) :args (@t121)) % 1.02/1.26 (step @p5958 :rule trans :premises (@p5957 @p5955)) % 1.02/1.26 (step @p5959 :rule nary_cong :premises (@p5798 @p5952) :args (@t3161)) % 1.02/1.26 (step @p5960 :rule cong :premises (@p5959) :args ((forall @t9 @t3161))) % 1.02/1.26 (step @p5961 :rule bool-impl-elim :args (@t109 @t120)) % 1.02/1.26 (step @p5962 :rule cong :premises (@p5961) :args (@t122)) % 1.02/1.26 (step @p5963 :rule trans :premises (@p5962 @p5960)) % 1.02/1.26 (step @p5964 :rule nary_cong :premises (@p5963 @p5958) :args (@t123)) % 1.02/1.26 (step @p5965 :rule refl :args (@t125)) % 1.02/1.26 (step @p5966 :rule cong :premises (@p5965 @p5964) :args (@t126)) % 1.02/1.26 (step @p5967 :rule cong :premises (@p5966) :args (@t128)) % 1.02/1.26 (step @p5968 :rule trans :premises (@p5967 @p5947)) % 1.02/1.26 (step @p5969 :rule refl :args (@t1657)) % 1.02/1.26 (step @p5970 :rule nary_cong :premises (@p649 @p1889 @p5969 @p1422) :args (@t3162)) % 1.02/1.26 (step @p5971 :rule cong :premises (@p5970) :args ((forall @t135 @t3162))) % 1.02/1.26 (step @p5972 :rule aci_norm :args ((= (or (or @t197 @t2228) (or @t1657 @t129)) @t3162))) % 1.02/1.26 (step @p5973 :rule bool-impl-elim :args (@t1656 @t129)) % 1.02/1.26 (step @p5974 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 1.02/1.26 (step @p5975 :rule nary_cong :premises (@p5974 @p5973) :args ((or (not @t133) @t3163))) % 1.02/1.26 (step @p5976 :rule trans :premises (@p5975 @p5972)) % 1.02/1.26 (step @p5977 :rule bool-impl-elim :args (@t133 @t3163)) % 1.02/1.26 (step @p5978 :rule trans :premises (@p5977 @p5976)) % 1.02/1.26 (step @p5979 :rule cong :premises (@p5978) :args ((forall @t135 (=> @t133 @t3163)))) % 1.02/1.26 (step @p5980 :rule trans :premises (@p5979 @p5971)) % 1.02/1.26 (step @p5981 :rule cong :premises (@p5797 @p5883) :args (@t130)) % 1.02/1.26 (step @p5982 :rule nary_cong :premises (@p5935 @p5981) :args (@t3164)) % 1.02/1.26 (step @p5983 :rule cong :premises (@p5982) :args ((forall @t118 @t3164))) % 1.02/1.26 (step @p5984 :rule bool-impl-elim :args (@t124 @t130)) % 1.02/1.26 (step @p5985 :rule cong :premises (@p5984) :args (@t131)) % 1.02/1.26 (step @p5986 :rule trans :premises (@p5985 @p5983)) % 1.02/1.26 (step @p5987 :rule cong :premises (@p5986 @p1534) :args (@t132)) % 1.02/1.26 (step @p5988 :rule refl :args (@t133)) % 1.02/1.26 (step @p5989 :rule cong :premises (@p5988 @p5987) :args (@t134)) % 1.02/1.26 (step @p5990 :rule cong :premises (@p5989) :args (@t136)) % 1.02/1.26 (step @p5991 :rule trans :premises (@p5990 @p5980)) % 1.02/1.26 (step @p5992 :rule aci_norm :args ((= @t3166 @t1663))) % 1.02/1.26 (step @p5993 :rule cong :premises (@p5992) :args (@t3167)) % 1.02/1.26 (step @p5994 :rule quant-merge-prenex :args ((= (forall @t118 @t3169) @t3167))) % 1.02/1.26 (step @p5995 :rule alpha_equiv :args (@t3170 (@list @t1660) @t1906)) % 1.02/1.26 (step @p5996 :rule nary_cong :premises (@p5920 @p5995) :args (@t3171)) % 1.02/1.26 (step @p5997 :rule quant-miniscope-or :args ((= @t3169 @t3171))) % 1.02/1.26 (step @p5998 :rule trans :premises (@p5997 @p5996)) % 1.02/1.26 (step @p5999 :rule symm :premises (@p5998)) % 1.02/1.26 (step @p6000 :rule cong :premises (@p5999) :args ((forall @t118 (or @t1651 @t1639)))) % 1.02/1.26 (step @p6001 :rule trans :premises (@p6000 @p5994)) % 1.02/1.26 (step @p6002 :rule trans :premises (@p6001 @p5993)) % 1.02/1.26 (step @p6003 :rule refl :args (@t1639)) % 1.02/1.26 (step @p6004 :rule nary_cong :premises (@p5935 @p6003) :args (@t3172)) % 1.02/1.26 (step @p6005 :rule cong :premises (@p6004) :args ((forall @t118 @t3172))) % 1.02/1.26 (step @p6006 :rule trans :premises (@p6005 @p6002)) % 1.02/1.26 (step @p6007 :rule bool-impl-elim :args (@t124 @t1639)) % 1.02/1.26 (step @p6008 :rule cong :premises (@p6007) :args ((forall @t118 (=> @t124 @t1639)))) % 1.02/1.26 (step @p6009 :rule trans :premises (@p6008 @p6006)) % 1.02/1.26 (step @p6010 :rule refl :args (@t124)) % 1.02/1.26 (step @p6011 :rule cong :premises (@p6010 @p5909) :args (@t137)) % 1.02/1.26 (step @p6012 :rule cong :premises (@p6011) :args (@t138)) % 1.02/1.26 (step @p6013 :rule trans :premises (@p6012 @p6009)) % 1.02/1.26 (step @p6014 :rule nary_cong :premises (@p6013 @p5991 @p5968 @p5913) :args (@t139)) % 1.02/1.26 (step @p6015 :rule cong :premises (@p6014) :args (@t140)) % 1.02/1.26 (step @p6016 :rule trans :premises (@p6015 @p5769)) % 1.02/1.26 (step @p6017 :rule cong :premises (@p6016) :args (@t141)) % 1.02/1.26 (step @p6018 :rule refl :args (tptp.wellorderingAx)) % 1.02/1.26 (step @p6019 :rule cong :premises (@p6018 @p6017) :args (@t142)) % 1.02/1.26 (step @p6020 :rule eq_resolve :premises (@p11 @p6019)) % 1.02/1.26 (step @p6021 :rule cong :premises (@p6020 @p5754) :args (@t3173)) % 1.02/1.26 (step @p6022 :rule quant-merge-prenex :args ((= (forall @t64 @t3175) @t1676))) % 1.02/1.26 (step @p6023 :rule refl :args (@t1672)) % 1.02/1.26 (step @p6024 :rule alpha_equiv :args (@t3176 (@list @t1673) @t1906)) % 1.02/1.26 (step @p6025 :rule nary_cong :premises (@p6024 @p6023) :args (@t3177)) % 1.02/1.26 (step @p6026 :rule quant-miniscope-or :args ((= @t3175 @t3177))) % 1.02/1.26 (step @p6027 :rule trans :premises (@p6026 @p6025)) % 1.02/1.26 (step @p6028 :rule symm :premises (@p6027)) % 1.02/1.26 (step @p6029 :rule cong :premises (@p6028) :args ((forall @t64 (or @t1524 @t1672)))) % 1.02/1.26 (step @p6030 :rule trans :premises (@p6029 @p6022)) % 1.02/1.26 (step @p6031 :rule nary_cong :premises (@p5401 @p6023) :args ((or @t3018 @t1672))) % 1.02/1.26 (step @p6032 :rule bool-impl-elim :args (@t1525 @t1672)) % 1.02/1.26 (step @p6033 :rule trans :premises (@p6032 @p6031)) % 1.02/1.26 (step @p6034 :rule cong :premises (@p6033) :args ((forall @t64 (=> @t1525 @t1672)))) % 1.02/1.26 (step @p6035 :rule trans :premises (@p6034 @p6030)) % 1.02/1.26 (step @p6036 :rule refl :args (@t1671)) % 1.02/1.26 (step @p6037 :rule nary_cong :premises (@p5139 @p6036) :args (@t3178)) % 1.02/1.26 (step @p6038 :rule cong :premises (@p6037) :args ((forall @t41 @t3178))) % 1.02/1.26 (step @p6039 :rule bool-and-de-morgan :args (@t39 @t1670 true)) % 1.02/1.26 (step @p6040 :rule cong :premises (@p6039) :args (@t3180)) % 1.02/1.26 (step @p6041 :rule trans :premises (@p6040 @p6038)) % 1.02/1.26 (step @p6042 :rule cong :premises (@p6041) :args (@t3181)) % 1.02/1.26 (step @p6043 :rule exists-elim :args ((= (exists @t41 @t3179) @t3181))) % 1.02/1.26 (step @p6044 :rule trans :premises (@p6043 @p6042)) % 1.02/1.26 (step @p6045 :rule bool-double-not-elim :args (@t1670)) % 1.02/1.26 (step @p6046 :rule nary_cong :premises (@p2803 @p649) :args (@t3182)) % 1.02/1.26 (step @p6047 :rule cong :premises (@p6046) :args ((forall @t9 @t3182))) % 1.02/1.26 (step @p6048 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 1.02/1.26 (step @p6049 :rule cong :premises (@p6048) :args (@t3183)) % 1.02/1.26 (step @p6050 :rule trans :premises (@p6049 @p6047)) % 1.02/1.26 (step @p6051 :rule cong :premises (@p6050) :args (@t3184)) % 1.02/1.26 (step @p6052 :rule exists-elim :args ((= @t85 @t3184))) % 1.02/1.26 (step @p6053 :rule trans :premises (@p6052 @p6051)) % 1.02/1.26 (step @p6054 :rule cong :premises (@p6053) :args (@t86)) % 1.02/1.26 (step @p6055 :rule trans :premises (@p6054 @p6045)) % 1.02/1.26 (step @p6056 :rule refl :args (@t39)) % 1.02/1.26 (step @p6057 :rule nary_cong :premises (@p6056 @p6055) :args (@t87)) % 1.02/1.26 (step @p6058 :rule cong :premises (@p6057) :args (@t88)) % 1.02/1.26 (step @p6059 :rule trans :premises (@p6058 @p6044)) % 1.02/1.26 (step @p6060 :rule cong :premises (@p5024 @p6059) :args (@t90)) % 1.02/1.26 (step @p6061 :rule cong :premises (@p6060) :args (@t91)) % 1.02/1.26 (step @p6062 :rule trans :premises (@p6061 @p6035)) % 1.02/1.26 (step @p6063 :rule refl :args (tptp.foundationAx)) % 1.02/1.26 (step @p6064 :rule cong :premises (@p6063 @p6062) :args (@t92)) % 1.02/1.26 (step @p6065 :rule eq_resolve :premises (@p10 @p6064)) % 1.02/1.26 (step @p6066 :rule cong :premises (@p6065 @p6021) :args (@t3185)) % 1.02/1.26 (step @p6067 :rule bool-impl-elim :args (@t1690 @t1681)) % 1.02/1.26 (step @p6068 :rule cong :premises (@p6067) :args ((forall @t81 (=> @t1690 @t1681)))) % 1.02/1.26 (step @p6069 :rule exists-elim :args ((= (exists @t41 @t1680) @t1681))) % 1.02/1.26 (step @p6070 :rule refl :args (@t1679)) % 1.02/1.26 (step @p6071 :rule cong :premises (@p2780 @p6070) :args (@t3186)) % 1.02/1.26 (step @p6072 :rule cong :premises (@p6071) :args ((forall @t9 @t3186))) % 1.02/1.26 (step @p6073 :rule refl :args (@t1678)) % 1.02/1.26 (step @p6074 :rule refl :args (@t68)) % 1.02/1.26 (step @p6075 :rule cong :premises (@p6074 @p6073) :args ((= @t68 @t1678))) % 1.02/1.26 (step @p6076 :rule symm :premises (@p6075)) % 1.02/1.26 (step @p6077 :rule eq_resolve :premises (@p6074 @p6076)) % 1.02/1.26 (step @p6078 :rule cong :premises (@p6077) :args (@t3187)) % 1.02/1.26 (step @p6079 :rule nary_cong :premises (@p1889 @p6078) :args (@t3188)) % 1.02/1.26 (step @p6080 :rule cong :premises (@p6079) :args ((forall @t70 @t3188))) % 1.02/1.26 (step @p6081 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 1.02/1.26 (step @p6082 :rule cong :premises (@p6081) :args (@t3189)) % 1.02/1.26 (step @p6083 :rule trans :premises (@p6082 @p6080)) % 1.02/1.26 (step @p6084 :rule cong :premises (@p6083) :args (@t3190)) % 1.02/1.26 (step @p6085 :rule exists-elim :args ((= @t71 @t3190))) % 1.02/1.26 (step @p6086 :rule trans :premises (@p6085 @p6084)) % 1.02/1.26 (step @p6087 :rule refl :args (@t6)) % 1.02/1.26 (step @p6088 :rule cong :premises (@p6087 @p6086) :args (@t72)) % 1.02/1.26 (step @p6089 :rule cong :premises (@p6088) :args (@t73)) % 1.02/1.26 (step @p6090 :rule trans :premises (@p6089 @p6072)) % 1.02/1.26 (step @p6091 :rule cong :premises (@p6090) :args (@t74)) % 1.02/1.26 (step @p6092 :rule trans :premises (@p6091 @p6069)) % 1.02/1.26 (step @p6093 :rule refl :args (@t1689)) % 1.02/1.26 (step @p6094 :rule nary_cong :premises (@p649 @p6093) :args (@t3191)) % 1.02/1.26 (step @p6095 :rule cong :premises (@p6094) :args ((forall @t9 @t3191))) % 1.02/1.26 (step @p6096 :rule bool-impl-elim :args (@t7 @t1689)) % 1.02/1.26 (step @p6097 :rule cong :premises (@p6096) :args ((forall @t9 (=> @t7 @t1689)))) % 1.02/1.26 (step @p6098 :rule trans :premises (@p6097 @p6095)) % 1.02/1.26 (step @p6099 :rule refl :args (@t1686)) % 1.02/1.26 (step @p6100 :rule refl :args (@t1687)) % 1.02/1.26 (step @p6101 :rule refl :args (@t3192)) % 1.02/1.26 (step @p6102 :rule cong :premises (@p6101 @p6100) :args ((= @t3192 @t1687))) % 1.02/1.26 (step @p6103 :rule symm :premises (@p6102)) % 1.02/1.26 (step @p6104 :rule eq_resolve :premises (@p6101 @p6103)) % 1.02/1.26 (step @p6105 :rule cong :premises (@p6104) :args (@t3193)) % 1.02/1.26 (step @p6106 :rule nary_cong :premises (@p6105 @p6099) :args (@t3194)) % 1.02/1.26 (step @p6107 :rule cong :premises (@p6106) :args ((forall @t1688 @t3194))) % 1.02/1.26 (step @p6108 :rule refl :args (@t1683)) % 1.02/1.26 (step @p6109 :rule nary_cong :premises (@p817 @p6108) :args (@t3195)) % 1.02/1.26 (step @p6110 :rule cong :premises (@p6109) :args ((forall @t70 @t3195))) % 1.02/1.26 (step @p6111 :rule refl :args (@t1683)) % 1.02/1.26 (step @p6112 :rule beta-reduce :args ((= @t3196 @t76))) % 1.02/1.26 (step @p6113 :rule cong :premises (@p6112) :args (@t3197)) % 1.02/1.26 (step @p6114 :rule nary_cong :premises (@p6113 @p6111) :args (@t3198)) % 1.02/1.26 (step @p6115 :rule cong :premises (@p6114) :args (@t3199)) % 1.02/1.26 (step @p6116 :rule trans :premises (@p6115 @p6110)) % 1.02/1.26 (step @p6117 :rule cong :premises (@p6116) :args (@t3200)) % 1.02/1.26 (step @p6118 :rule beta-reduce :args ((= @t3201 @t3192))) % 1.02/1.26 (step @p6119 :rule cong :premises (@p6118) :args (@t3202)) % 1.02/1.26 (step @p6120 :rule nary_cong :premises (@p6119 @p6117) :args (@t3203)) % 1.02/1.26 (step @p6121 :rule cong :premises (@p6120) :args (@t3204)) % 1.02/1.26 (step @p6122 :rule trans :premises (@p6121 @p6107)) % 1.02/1.26 (step @p6123 :rule cong :premises (@p6122) :args (@t3205)) % 1.02/1.26 (step @p6124 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t1688 (or @t3206 (not (forall @t70 (or @t1235 @t1683))))))) @t77) @t3205))) % 1.02/1.26 (step @p6125 :rule trans :premises (@p6124 @p6123)) % 1.02/1.26 (step @p6126 :rule refl :args (@t77)) % 1.02/1.26 (step @p6127 :rule eq-symm :args (@t1682 @t19)) % 1.02/1.26 (step @p6128 :rule nary_cong :premises (@p4040 @p6127) :args (@t3207)) % 1.02/1.26 (step @p6129 :rule cong :premises (@p6128) :args (@t3208)) % 1.02/1.26 (step @p6130 :rule cong :premises (@p6129) :args (@t3209)) % 1.02/1.26 (step @p6131 :rule refl :args (@t3206)) % 1.02/1.26 (step @p6132 :rule nary_cong :premises (@p6131 @p6130) :args (@t3210)) % 1.02/1.26 (step @p6133 :rule cong :premises (@p6132) :args (@t3211)) % 1.02/1.26 (step @p6134 :rule cong :premises (@p6133) :args (@t3212)) % 1.02/1.26 (step @p6135 :rule cong :premises (@p6134) :args ((lambda @t150 @t3212))) % 1.02/1.26 (step @p6136 :rule ho_cong :premises (@p6135 @p6126)) % 1.02/1.26 (step @p6137 :rule trans :premises (@p6136 @p6125)) % 1.02/1.26 (step @p6138 :rule refl :args (@t77)) % 1.02/1.26 (step @p6139 :rule alpha_equiv :args (@t1476 @t1906 (@list @t1682))) % 1.02/1.26 (step @p6140 :rule cong :premises (@p6139) :args (@t1477)) % 1.02/1.26 (step @p6141 :rule cong :premises (@p6140) :args (@t2696)) % 1.02/1.26 (step @p6142 :rule ho_cong :premises (@p6141 @p6138)) % 1.02/1.26 (step @p6143 :rule trans :premises (@p6142 @p6137)) % 1.02/1.26 (step @p6144 :rule cong :premises (@p783 @p6143) :args (@t3213)) % 1.02/1.26 (step @p6145 :rule cong :premises (@p6144) :args (@t3214)) % 1.02/1.26 (step @p6146 :rule trans :premises (@p6145 @p6098)) % 1.02/1.26 (step @p6147 :rule cong :premises (@p6146 @p6092) :args (@t3215)) % 1.02/1.26 (step @p6148 :rule cong :premises (@p6147) :args (@t3216)) % 1.02/1.26 (step @p6149 :rule trans :premises (@p6148 @p6068)) % 1.02/1.26 (step @p6150 :rule refl :args (tptp.replAx)) % 1.02/1.26 (step @p6151 :rule cong :premises (@p6150 @p6149) :args ((= tptp.replAx @t3216))) % 1.02/1.26 (step @p6152 :rule refl :args (@t74)) % 1.02/1.26 (step @p6153 :rule ho_cong :premises (@p4200 @p6126)) % 1.02/1.26 (step @p6154 :rule cong :premises (@p783 @p6153) :args (@t78)) % 1.02/1.26 (step @p6155 :rule cong :premises (@p6154) :args (@t79)) % 1.02/1.26 (step @p6156 :rule cong :premises (@p6155 @p6152) :args (@t80)) % 1.02/1.26 (step @p6157 :rule cong :premises (@p6156) :args (@t82)) % 1.02/1.26 (step @p6158 :rule cong :premises (@p6150 @p6157) :args (@t83)) % 1.02/1.26 (step @p6159 :rule trans :premises (@p6158 @p6151)) % 1.02/1.26 (step @p6160 :rule eq_resolve :premises (@p9 @p6159)) % 1.02/1.26 (step @p6161 :rule cong :premises (@p6160 @p6066) :args (@t3217)) % 1.02/1.26 (step @p6162 :rule aci_norm :args ((= @t3219 @t1704))) % 1.02/1.26 (step @p6163 :rule cong :premises (@p6162) :args (@t3220)) % 1.02/1.26 (step @p6164 :rule quant-merge-prenex :args ((= (forall @t64 @t3222) @t3220))) % 1.02/1.26 (step @p6165 :rule alpha_equiv :args (@t3223 (@list @t1693) @t1906)) % 1.02/1.26 (step @p6166 :rule refl :args (@t1701)) % 1.02/1.26 (step @p6167 :rule refl :args (@t1703)) % 1.02/1.26 (step @p6168 :rule nary_cong :premises (@p6167 @p6166 @p6165) :args (@t3224)) % 1.02/1.26 (step @p6169 :rule quant-miniscope-or :args ((= @t3222 @t3224))) % 1.02/1.26 (step @p6170 :rule trans :premises (@p6169 @p6168)) % 1.02/1.26 (step @p6171 :rule symm :premises (@p6170)) % 1.02/1.26 (step @p6172 :rule cong :premises (@p6171) :args ((forall @t64 (or @t1703 @t1701 @t3225)))) % 1.02/1.26 (step @p6173 :rule trans :premises (@p6172 @p6164)) % 1.02/1.26 (step @p6174 :rule trans :premises (@p6173 @p6163)) % 1.02/1.26 (step @p6175 :rule refl :args (@t3225)) % 1.02/1.26 (step @p6176 :rule refl :args (@t1702)) % 1.02/1.26 (step @p6177 :rule refl :args (@t61)) % 1.02/1.26 (step @p6178 :rule cong :premises (@p6177 @p6176) :args ((= @t61 @t1702))) % 1.02/1.26 (step @p6179 :rule symm :premises (@p6178)) % 1.02/1.26 (step @p6180 :rule eq_resolve :premises (@p6177 @p6179)) % 1.02/1.26 (step @p6181 :rule cong :premises (@p6180) :args (@t3226)) % 1.02/1.26 (step @p6182 :rule nary_cong :premises (@p6181 @p6166 @p6175) :args (@t3227)) % 1.02/1.26 (step @p6183 :rule cong :premises (@p6182) :args ((forall @t64 @t3227))) % 1.02/1.26 (step @p6184 :rule trans :premises (@p6183 @p6174)) % 1.02/1.26 (step @p6185 :rule aci_norm :args ((= (or (or @t3226 @t1701) @t3225) @t3227))) % 1.02/1.26 (step @p6186 :rule bool-and-de-morgan :args (@t61 @t1700 true)) % 1.02/1.26 (step @p6187 :rule nary_cong :premises (@p6186 @p6175) :args ((or (not @t3228) @t3225))) % 1.02/1.26 (step @p6188 :rule trans :premises (@p6187 @p6185)) % 1.02/1.26 (step @p6189 :rule bool-impl-elim :args (@t3228 @t3225)) % 1.02/1.26 (step @p6190 :rule trans :premises (@p6189 @p6188)) % 1.02/1.26 (step @p6191 :rule cong :premises (@p6190) :args ((forall @t64 (=> @t3228 @t3225)))) % 1.02/1.26 (step @p6192 :rule trans :premises (@p6191 @p6184)) % 1.02/1.26 (step @p6193 :rule refl :args (@t1698)) % 1.02/1.26 (step @p6194 :rule refl :args (@t54)) % 1.02/1.26 (step @p6195 :rule cong :premises (@p6194 @p6193) :args ((= @t54 @t1698))) % 1.02/1.26 (step @p6196 :rule symm :premises (@p6195)) % 1.02/1.26 (step @p6197 :rule eq_resolve :premises (@p6194 @p6196)) % 1.02/1.26 (step @p6198 :rule cong :premises (@p6197) :args (@t3229)) % 1.02/1.26 (step @p6199 :rule nary_cong :premises (@p6198 @p648) :args (@t3230)) % 1.02/1.26 (step @p6200 :rule cong :premises (@p6199) :args ((forall @t9 @t3230))) % 1.02/1.26 (step @p6201 :rule bool-impl-elim :args (@t54 @t7)) % 1.02/1.26 (step @p6202 :rule cong :premises (@p6201) :args (@t57)) % 1.02/1.26 (step @p6203 :rule trans :premises (@p6202 @p6200)) % 1.02/1.26 (step @p6204 :rule refl :args ((tptp.in @t51 @t2))) % 1.02/1.26 (step @p6205 :rule refl :args (@t1696)) % 1.02/1.26 (step @p6206 :rule cong :premises (@p6205 @p1287) :args (@t1697)) % 1.02/1.26 (step @p6207 :rule trans :premises (@p6206 @p6204)) % 1.02/1.26 (step @p6208 :rule ho_cong :premises (@p697 @p6205)) % 1.02/1.26 (step @p6209 :rule ho_cong :premises (@p6208 @p1287)) % 1.02/1.26 (step @p6210 :rule cong :premises (@p6209 @p6207) :args ((= (_ @t3231 @t2) @t1697))) % 1.02/1.26 (step @p6211 :rule symm :premises (@p6210)) % 1.02/1.26 (step @p6212 :rule refl :args (@t58)) % 1.02/1.26 (step @p6213 :rule eq_resolve :premises (@p6212 @p6211)) % 1.02/1.26 (step @p6214 :rule refl :args (@t51)) % 1.02/1.26 (step @p6215 :rule cong :premises (@p6214 @p6205) :args ((= @t51 @t1696))) % 1.02/1.26 (step @p6216 :rule symm :premises (@p6215)) % 1.02/1.26 (step @p6217 :rule eq_resolve :premises (@p6214 @p6216)) % 1.02/1.26 (step @p6218 :rule ho_cong :premises (@p697 @p6217)) % 1.02/1.26 (step @p6219 :rule ho_cong :premises (@p6218 @p1287)) % 1.02/1.26 (step @p6220 :rule trans :premises (@p6219 @p6213)) % 1.02/1.26 (step @p6221 :rule nary_cong :premises (@p6198 @p649 @p6220) :args (@t3232)) % 1.02/1.26 (step @p6222 :rule cong :premises (@p6221) :args ((forall @t9 @t3232))) % 1.02/1.26 (step @p6223 :rule aci_norm :args ((= (or (or @t3229 @t197) @t58) @t3232))) % 1.02/1.26 (step @p6224 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 1.02/1.26 (step @p6225 :rule nary_cong :premises (@p6224 @p6212) :args ((or (not @t59) @t58))) % 1.02/1.26 (step @p6226 :rule trans :premises (@p6225 @p6223)) % 1.02/1.26 (step @p6227 :rule bool-impl-elim :args (@t59 @t58)) % 1.02/1.26 (step @p6228 :rule trans :premises (@p6227 @p6226)) % 1.02/1.26 (step @p6229 :rule cong :premises (@p6228) :args (@t60)) % 1.02/1.26 (step @p6230 :rule trans :premises (@p6229 @p6222)) % 1.02/1.26 (step @p6231 :rule refl :args (@t61)) % 1.02/1.26 (step @p6232 :rule nary_cong :premises (@p6231 @p6230) :args (@t62)) % 1.02/1.26 (step @p6233 :rule cong :premises (@p6232 @p6203) :args (@t63)) % 1.02/1.26 (step @p6234 :rule cong :premises (@p6233) :args (@t65)) % 1.02/1.26 (step @p6235 :rule trans :premises (@p6234 @p6192)) % 1.02/1.26 (step @p6236 :rule refl :args (tptp.omegaIndAx)) % 1.02/1.26 (step @p6237 :rule cong :premises (@p6236 @p6235) :args (@t66)) % 1.02/1.26 (step @p6238 :rule eq_resolve :premises (@p8 @p6237)) % 1.02/1.26 (step @p6239 :rule cong :premises (@p6238 @p6161) :args (@t3233)) % 1.02/1.26 (step @p6240 :rule refl :args ((tptp.in @t51 tptp.omega))) % 1.02/1.26 (step @p6241 :rule refl :args (tptp.omega)) % 1.02/1.26 (step @p6242 :rule cong :premises (@p6205 @p6241) :args (@t1708)) % 1.02/1.26 (step @p6243 :rule trans :premises (@p6242 @p6240)) % 1.02/1.26 (step @p6244 :rule ho_cong :premises (@p6208 @p6241)) % 1.02/1.26 (step @p6245 :rule cong :premises (@p6244 @p6243) :args ((= (_ @t3231 tptp.omega) @t1708))) % 1.02/1.26 (step @p6246 :rule symm :premises (@p6245)) % 1.02/1.26 (step @p6247 :rule refl :args (@t53)) % 1.02/1.26 (step @p6248 :rule eq_resolve :premises (@p6247 @p6246)) % 1.02/1.26 (step @p6249 :rule ho_cong :premises (@p6218 @p6241)) % 1.02/1.26 (step @p6250 :rule trans :premises (@p6249 @p6248)) % 1.02/1.26 (step @p6251 :rule nary_cong :premises (@p6198 @p6250) :args (@t3234)) % 1.02/1.26 (step @p6252 :rule cong :premises (@p6251) :args ((forall @t9 @t3234))) % 1.02/1.26 (step @p6253 :rule bool-impl-elim :args (@t54 @t53)) % 1.02/1.26 (step @p6254 :rule cong :premises (@p6253) :args (@t55)) % 1.02/1.26 (step @p6255 :rule trans :premises (@p6254 @p6252)) % 1.02/1.26 (step @p6256 :rule refl :args (tptp.omegaSAx)) % 1.02/1.26 (step @p6257 :rule cong :premises (@p6256 @p6255) :args (@t56)) % 1.02/1.26 (step @p6258 :rule eq_resolve :premises (@p7 @p6257)) % 1.02/1.26 (step @p6259 :rule cong :premises (@p6258 @p6239) :args (@t3235)) % 1.02/1.26 (step @p6260 :rule cong :premises (@p6 @p6259) :args (@t3236)) % 1.02/1.26 (step @p6261 :rule eq-symm :args (@t1261 @t1543)) % 1.02/1.26 (step @p6262 :rule cong :premises (@p6261) :args ((forall @t46 (= @t1261 @t1543)))) % 1.02/1.26 (step @p6263 :rule cong :premises (@p2212 @p5107) :args (@t3237)) % 1.02/1.26 (step @p6264 :rule cong :premises (@p6263) :args ((forall @t46 @t3237))) % 1.02/1.26 (step @p6265 :rule trans :premises (@p6264 @p6262)) % 1.02/1.26 (step @p6266 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 1.02/1.26 (step @p6267 :rule cong :premises (@p6266) :args (@t3238)) % 1.02/1.26 (step @p6268 :rule trans :premises (@p6267 @p5141)) % 1.02/1.26 (step @p6269 :rule cong :premises (@p6268) :args (@t3239)) % 1.02/1.26 (step @p6270 :rule exists-elim :args ((= @t42 @t3239))) % 1.02/1.26 (step @p6271 :rule trans :premises (@p6270 @p6269)) % 1.02/1.26 (step @p6272 :rule cong :premises (@p2239 @p6271) :args (@t45)) % 1.02/1.26 (step @p6273 :rule cong :premises (@p6272) :args (@t47)) % 1.02/1.26 (step @p6274 :rule trans :premises (@p6273 @p6265)) % 1.02/1.26 (step @p6275 :rule refl :args (tptp.setunionAx)) % 1.02/1.26 (step @p6276 :rule cong :premises (@p6275 @p6274) :args (@t48)) % 1.02/1.26 (step @p6277 :rule eq_resolve :premises (@p5 @p6276)) % 1.02/1.26 (step @p6278 :rule cong :premises (@p6277 @p6260) :args (@t3240)) % 1.02/1.26 (step @p6279 :rule eq-symm :args (@t1407 @t1554)) % 1.02/1.26 (step @p6280 :rule cong :premises (@p6279) :args ((forall @t12 (= @t1407 @t1554)))) % 1.02/1.26 (step @p6281 :rule refl :args (@t1554)) % 1.02/1.26 (step @p6282 :rule cong :premises (@p3567 @p6281) :args (@t3241)) % 1.02/1.26 (step @p6283 :rule cong :premises (@p6282) :args ((forall @t12 @t3241))) % 1.02/1.26 (step @p6284 :rule trans :premises (@p6283 @p6280)) % 1.02/1.26 (step @p6285 :rule cong :premises (@p5225 @p5229) :args (@t36)) % 1.02/1.26 (step @p6286 :rule cong :premises (@p6285) :args (@t37)) % 1.02/1.26 (step @p6287 :rule trans :premises (@p6286 @p6284)) % 1.02/1.26 (step @p6288 :rule refl :args (tptp.powersetAx)) % 1.02/1.26 (step @p6289 :rule cong :premises (@p6288 @p6287) :args (@t38)) % 1.02/1.26 (step @p6290 :rule eq_resolve :premises (@p4 @p6289)) % 1.02/1.26 (step @p6291 :rule cong :premises (@p6290 @p6278) :args (@t3242)) % 1.02/1.26 (step @p6292 :rule nary_cong :premises (@p1422 @p1888) :args (@t2987)) % 1.02/1.26 (step @p6293 :rule cong :premises (@p5271 @p6292) :args (@t3243)) % 1.02/1.26 (step @p6294 :rule cong :premises (@p6293) :args ((forall @t28 @t3243))) % 1.02/1.26 (step @p6295 :rule cong :premises (@p5281 @p5280) :args (@t27)) % 1.02/1.26 (step @p6296 :rule cong :premises (@p6295) :args (@t29)) % 1.02/1.26 (step @p6297 :rule trans :premises (@p6296 @p6294)) % 1.02/1.26 (step @p6298 :rule refl :args (tptp.setadjoinAx)) % 1.02/1.26 (step @p6299 :rule cong :premises (@p6298 @p6297) :args (@t30)) % 1.02/1.26 (step @p6300 :rule eq_resolve :premises (@p3 @p6299)) % 1.02/1.26 (step @p6301 :rule cong :premises (@p6300 @p6291) :args (@t3244)) % 1.02/1.26 (step @p6302 :rule refl :args (tptp.emptysetAx)) % 1.02/1.26 (step @p6303 :rule cong :premises (@p6302 @p5578) :args (@t18)) % 1.02/1.26 (step @p6304 :rule eq_resolve :premises (@p2 @p6303)) % 1.02/1.26 (step @p6305 :rule cong :premises (@p6304 @p6301) :args (@t3245)) % 1.02/1.26 (step @p6306 :rule bool-impl-elim :args (@t1721 @t3)) % 1.02/1.26 (step @p6307 :rule cong :premises (@p6306) :args ((forall @t12 (=> @t1721 @t3)))) % 1.02/1.26 (step @p6308 :rule cong :premises (@p648 @p2780) :args (@t8)) % 1.02/1.26 (step @p6309 :rule cong :premises (@p6308) :args (@t10)) % 1.02/1.26 (step @p6310 :rule cong :premises (@p6309 @p4025) :args (@t11)) % 1.02/1.26 (step @p6311 :rule cong :premises (@p6310) :args (@t13)) % 1.02/1.26 (step @p6312 :rule trans :premises (@p6311 @p6307)) % 1.02/1.26 (step @p6313 :rule refl :args (tptp.setextAx)) % 1.02/1.26 (step @p6314 :rule cong :premises (@p6313 @p6312) :args (@t14)) % 1.02/1.26 (step @p6315 :rule eq_resolve :premises (@p1 @p6314)) % 1.02/1.26 (step @p6316 :rule cong :premises (@p6315 @p6305) :args (@t3246)) % 1.02/1.26 (step @p6317 :rule cong :premises (@p6316) :args ((not @t3246))) % 1.02/1.26 (step @p6318 :rule trans :premises (@p6317 @p629)) % 1.02/1.26 (step @p6319 :rule refl :args ((tptp.in @t630 @t3248))) % 1.02/1.26 (step @p6320 :rule refl :args ((tptp.dsetconstr @t672 @t3247))) % 1.02/1.26 (step @p6321 :rule refl :args (@t1070)) % 1.02/1.26 (step @p6322 :rule cong :premises (@p679 @p6321) :args (@t1071)) % 1.02/1.26 (step @p6323 :rule cong :premises (@p6322) :args (@t1072)) % 1.02/1.26 (step @p6324 :rule refl :args (@t1073)) % 1.02/1.26 (step @p6325 :rule cong :premises (@p6324) :args (@t1074)) % 1.02/1.26 (step @p6326 :rule refl :args (@t1077)) % 1.02/1.26 (step @p6327 :rule cong :premises (@p6326) :args (@t1078)) % 1.02/1.26 (step @p6328 :rule nary_cong :premises (@p6327 @p685 @p6325 @p6323) :args (@t1079)) % 1.02/1.26 (step @p6329 :rule cong :premises (@p6328) :args (@t1081)) % 1.02/1.26 (step @p6330 :rule cong :premises (@p6329) :args (@t1082)) % 1.02/1.26 (step @p6331 :rule cong :premises (@p6330) :args (@t1083)) % 1.02/1.26 (step @p6332 :rule cong :premises (@p691 @p6331) :args (@t1085)) % 1.02/1.26 (step @p6333 :rule trans :premises (@p6332 @p6320)) % 1.02/1.26 (step @p6334 :rule cong :premises (@p694 @p6333) :args (@t1087)) % 1.02/1.26 (step @p6335 :rule trans :premises (@p6334 @p6319)) % 1.02/1.26 (step @p6336 :rule ho_cong :premises (@p698 @p6333)) % 1.02/1.26 (step @p6337 :rule cong :premises (@p6336 @p6335) :args ((= (_ @t1917 @t1085) @t1087))) % 1.02/1.26 (step @p6338 :rule symm :premises (@p6337)) % 1.02/1.26 (step @p6339 :rule refl :args ((_ @t666 @t3248))) % 1.02/1.26 (step @p6340 :rule eq_resolve :premises (@p6339 @p6338)) % 1.02/1.26 (step @p6341 :rule ho_cong :premises (@p705 @p6331)) % 1.02/1.26 (step @p6342 :rule cong :premises (@p6341 @p6333) :args ((= (_ @t1918 @t1083) @t1085))) % 1.02/1.26 (step @p6343 :rule symm :premises (@p6342)) % 1.02/1.26 (step @p6344 :rule refl :args (@t3248)) % 1.02/1.26 (step @p6345 :rule eq_resolve :premises (@p6344 @p6343)) % 1.02/1.26 (step @p6346 :rule refl :args (@t1083)) % 1.02/1.26 (step @p6347 :rule ho_cong :premises (@p716 @p6346)) % 1.02/1.26 (step @p6348 :rule trans :premises (@p6347 @p6345)) % 1.02/1.26 (step @p6349 :rule ho_cong :premises (@p723 @p6348)) % 1.02/1.26 (step @p6350 :rule trans :premises (@p6349 @p6340)) % 1.02/1.26 (step @p6351 :rule cong :premises (@p6350) :args (@t3250)) % 1.02/1.26 (step @p6352 :rule nary_cong :premises (@p6351 @p648) :args (@t3251)) % 1.02/1.26 (step @p6353 :rule cong :premises (@p6352) :args ((forall @t863 @t3251))) % 1.02/1.26 (step @p6354 :rule bool-impl-elim :args (@t3249 @t7)) % 1.02/1.26 (step @p6355 :rule cong :premises (@p6354) :args ((forall @t863 (=> @t3249 @t7)))) % 1.02/1.26 (step @p6356 :rule trans :premises (@p6355 @p6353)) % 1.02/1.26 (step @p6357 :rule alpha_equiv :args (@t1105 @t1906 (@list @t1069))) % 1.02/1.26 (step @p6358 :rule cong :premises (@p6357) :args (@t1106)) % 1.02/1.26 (step @p6359 :rule cong :premises (@p6358) :args (@t1107)) % 1.02/1.26 (step @p6360 :rule refl :args (@t1065)) % 1.02/1.27 (step @p6361 :rule ho_cong :premises (@p6360 @p6359)) % 1.02/1.27 (step @p6362 :rule refl :args (@t666)) % 1.02/1.27 (step @p6363 :rule ho_cong :premises (@p6362 @p6361)) % 1.02/1.27 (step @p6364 :rule cong :premises (@p6363 @p645) :args (@t3252)) % 1.02/1.27 (step @p6365 :rule cong :premises (@p6364) :args ((forall @t863 @t3252))) % 1.02/1.27 (step @p6366 :rule trans :premises (@p6365 @p6356)) % 1.02/1.27 (step @p6367 :rule cong :premises (@p777 @p783) :args (@t3253)) % 1.02/1.27 (step @p6368 :rule cong :premises (@p6367) :args (@t3254)) % 1.02/1.27 (step @p6369 :rule trans :premises (@p6368 @p6366)) % 1.02/1.27 (step @p6370 :rule cong :premises (@p787 @p6369) :args (@t3255)) % 1.02/1.27 (step @p6371 :rule cong :premises (@p887 @p6370) :args (@t3256)) % 1.02/1.27 (step @p6372 :rule cong :premises (@p904 @p6371) :args (@t3257)) % 1.02/1.27 (step @p6373 :rule cong :premises (@p959 @p6372) :args (@t3258)) % 1.02/1.27 (step @p6374 :rule cong :premises (@p1016 @p6373) :args (@t3259)) % 1.02/1.27 (step @p6375 :rule cong :premises (@p1063 @p6374) :args (@t3260)) % 1.02/1.27 (step @p6376 :rule cong :premises (@p1110 @p6375) :args (@t3261)) % 1.02/1.27 (step @p6377 :rule cong :premises (@p1129 @p6376) :args (@t3262)) % 1.02/1.27 (step @p6378 :rule cong :premises (@p1151 @p6377) :args (@t3263)) % 1.02/1.27 (step @p6379 :rule cong :premises (@p1160 @p6378) :args (@t3264)) % 1.02/1.27 (step @p6380 :rule cong :premises (@p1182 @p6379) :args (@t3265)) % 1.02/1.27 (step @p6381 :rule cong :premises (@p1201 @p6380) :args (@t3266)) % 1.02/1.27 (step @p6382 :rule cong :premises (@p1208 @p6381) :args (@t3267)) % 1.02/1.27 (step @p6383 :rule cong :premises (@p1279 @p6382) :args (@t3268)) % 1.02/1.27 (step @p6384 :rule cong :premises (@p1320 @p6383) :args (@t3269)) % 1.02/1.27 (step @p6385 :rule cong :premises (@p1418 @p6384) :args (@t3270)) % 1.02/1.27 (step @p6386 :rule cong :premises (@p1430 @p6385) :args (@t3271)) % 1.02/1.27 (step @p6387 :rule cong :premises (@p1467 @p6386) :args (@t3272)) % 1.02/1.27 (step @p6388 :rule cong :premises (@p1507 @p6387) :args (@t3273)) % 1.02/1.27 (step @p6389 :rule cong :premises (@p1538 @p6388) :args (@t3274)) % 1.02/1.27 (step @p6390 :rule cong :premises (@p1548 @p6389) :args (@t3275)) % 1.02/1.27 (step @p6391 :rule cong :premises (@p1557 @p6390) :args (@t3276)) % 1.02/1.27 (step @p6392 :rule cong :premises (@p1578 @p6391) :args (@t3277)) % 1.02/1.27 (step @p6393 :rule cong :premises (@p1585 @p6392) :args (@t3278)) % 1.02/1.27 (step @p6394 :rule cong :premises (@p1654 @p6393) :args (@t3279)) % 1.02/1.27 (step @p6395 :rule cong :premises (@p1726 @p6394) :args (@t3280)) % 1.02/1.27 (step @p6396 :rule cong :premises (@p1754 @p6395) :args (@t3281)) % 1.02/1.27 (step @p6397 :rule cong :premises (@p1774 @p6396) :args (@t3282)) % 1.02/1.27 (step @p6398 :rule cong :premises (@p1920 @p6397) :args (@t3283)) % 1.02/1.27 (step @p6399 :rule cong :premises (@p2068 @p6398) :args (@t3284)) % 1.02/1.27 (step @p6400 :rule cong :premises (@p2107 @p6399) :args (@t3285)) % 1.02/1.27 (step @p6401 :rule cong :premises (@p2119 @p6400) :args (@t3286)) % 1.02/1.27 (step @p6402 :rule cong :premises (@p2144 @p6401) :args (@t3287)) % 1.02/1.27 (step @p6403 :rule cong :premises (@p2175 @p6402) :args (@t3288)) % 1.02/1.27 (step @p6404 :rule cong :premises (@p2192 @p6403) :args (@t3289)) % 1.02/1.27 (step @p6405 :rule cong :premises (@p2243 @p6404) :args (@t3290)) % 1.02/1.27 (step @p6406 :rule cong :premises (@p2252 @p6405) :args (@t3291)) % 1.02/1.27 (step @p6407 :rule cong :premises (@p2300 @p6406) :args (@t3292)) % 1.02/1.27 (step @p6408 :rule cong :premises (@p2330 @p6407) :args (@t3293)) % 1.02/1.27 (step @p6409 :rule cong :premises (@p2396 @p6408) :args (@t3294)) % 1.02/1.27 (step @p6410 :rule cong :premises (@p2438 @p6409) :args (@t3295)) % 1.02/1.27 (step @p6411 :rule cong :premises (@p2480 @p6410) :args (@t3296)) % 1.02/1.27 (step @p6412 :rule cong :premises (@p2522 @p6411) :args (@t3297)) % 1.02/1.27 (step @p6413 :rule cong :premises (@p2564 @p6412) :args (@t3298)) % 1.02/1.27 (step @p6414 :rule cong :premises (@p2569 @p6413) :args (@t3299)) % 1.02/1.27 (step @p6415 :rule cong :premises (@p2620 @p6414) :args (@t3300)) % 1.02/1.27 (step @p6416 :rule cong :premises (@p2644 @p6415) :args (@t3301)) % 1.02/1.27 (step @p6417 :rule cong :premises (@p2665 @p6416) :args (@t3302)) % 1.02/1.27 (step @p6418 :rule cong :premises (@p2681 @p6417) :args (@t3303)) % 1.02/1.27 (step @p6419 :rule cong :premises (@p2696 @p6418) :args (@t3304)) % 1.02/1.27 (step @p6420 :rule cong :premises (@p2722 @p6419) :args (@t3305)) % 1.02/1.27 (step @p6421 :rule cong :premises (@p2737 @p6420) :args (@t3306)) % 1.02/1.27 (step @p6422 :rule cong :premises (@p2742 @p6421) :args (@t3307)) % 1.02/1.27 (step @p6423 :rule cong :premises (@p2799 @p6422) :args (@t3308)) % 1.02/1.27 (step @p6424 :rule cong :premises (@p2814 @p6423) :args (@t3309)) % 1.02/1.27 (step @p6425 :rule cong :premises (@p2831 @p6424) :args (@t3310)) % 1.02/1.27 (step @p6426 :rule cong :premises (@p2847 @p6425) :args (@t3311)) % 1.02/1.27 (step @p6427 :rule cong :premises (@p2921 @p6426) :args (@t3312)) % 1.02/1.27 (step @p6428 :rule cong :premises (@p2947 @p6427) :args (@t3313)) % 1.02/1.27 (step @p6429 :rule cong :premises (@p2964 @p6428) :args (@t3314)) % 1.02/1.27 (step @p6430 :rule cong :premises (@p2984 @p6429) :args (@t3315)) % 1.02/1.27 (step @p6431 :rule cong :premises (@p2996 @p6430) :args (@t3316)) % 1.02/1.27 (step @p6432 :rule cong :premises (@p3016 @p6431) :args (@t3317)) % 1.02/1.27 (step @p6433 :rule cong :premises (@p3033 @p6432) :args (@t3318)) % 1.02/1.27 (step @p6434 :rule cong :premises (@p3046 @p6433) :args (@t3319)) % 1.02/1.27 (step @p6435 :rule cong :premises (@p3055 @p6434) :args (@t3320)) % 1.02/1.27 (step @p6436 :rule cong :premises (@p3064 @p6435) :args (@t3321)) % 1.02/1.27 (step @p6437 :rule cong :premises (@p3080 @p6436) :args (@t3322)) % 1.02/1.27 (step @p6438 :rule cong :premises (@p3125 @p6437) :args (@t3323)) % 1.02/1.27 (step @p6439 :rule cong :premises (@p3140 @p6438) :args (@t3324)) % 1.02/1.27 (step @p6440 :rule cong :premises (@p3161 @p6439) :args (@t3325)) % 1.02/1.27 (step @p6441 :rule cong :premises (@p3178 @p6440) :args (@t3326)) % 1.02/1.27 (step @p6442 :rule cong :premises (@p3204 @p6441) :args (@t3327)) % 1.02/1.27 (step @p6443 :rule cong :premises (@p3224 @p6442) :args (@t3328)) % 1.02/1.27 (step @p6444 :rule cong :premises (@p3237 @p6443) :args (@t3329)) % 1.02/1.27 (step @p6445 :rule cong :premises (@p3249 @p6444) :args (@t3330)) % 1.02/1.27 (step @p6446 :rule cong :premises (@p3264 @p6445) :args (@t3331)) % 1.02/1.27 (step @p6447 :rule cong :premises (@p3273 @p6446) :args (@t3332)) % 1.02/1.27 (step @p6448 :rule cong :premises (@p3312 @p6447) :args (@t3333)) % 1.02/1.27 (step @p6449 :rule cong :premises (@p3326 @p6448) :args (@t3334)) % 1.02/1.27 (step @p6450 :rule cong :premises (@p3342 @p6449) :args (@t3335)) % 1.02/1.27 (step @p6451 :rule cong :premises (@p3357 @p6450) :args (@t3336)) % 1.02/1.27 (step @p6452 :rule cong :premises (@p3379 @p6451) :args (@t3337)) % 1.02/1.27 (step @p6453 :rule cong :premises (@p3430 @p6452) :args (@t3338)) % 1.02/1.27 (step @p6454 :rule cong :premises (@p3439 @p6453) :args (@t3339)) % 1.02/1.27 (step @p6455 :rule cong :premises (@p3444 @p6454) :args (@t3340)) % 1.02/1.27 (step @p6456 :rule cong :premises (@p3456 @p6455) :args (@t3341)) % 1.02/1.27 (step @p6457 :rule cong :premises (@p3490 @p6456) :args (@t3342)) % 1.02/1.27 (step @p6458 :rule cong :premises (@p3511 @p6457) :args (@t3343)) % 1.02/1.27 (step @p6459 :rule cong :premises (@p3537 @p6458) :args (@t3344)) % 1.02/1.27 (step @p6460 :rule cong :premises (@p3553 @p6459) :args (@t3345)) % 1.02/1.27 (step @p6461 :rule cong :premises (@p3574 @p6460) :args (@t3346)) % 1.02/1.27 (step @p6462 :rule cong :premises (@p3583 @p6461) :args (@t3347)) % 1.02/1.27 (step @p6463 :rule cong :premises (@p3599 @p6462) :args (@t3348)) % 1.02/1.27 (step @p6464 :rule cong :premises (@p3615 @p6463) :args (@t3349)) % 1.02/1.27 (step @p6465 :rule cong :premises (@p3634 @p6464) :args (@t3350)) % 1.02/1.27 (step @p6466 :rule cong :premises (@p3658 @p6465) :args (@t3351)) % 1.02/1.27 (step @p6467 :rule cong :premises (@p3678 @p6466) :args (@t3352)) % 1.02/1.27 (step @p6468 :rule cong :premises (@p3703 @p6467) :args (@t3353)) % 1.02/1.27 (step @p6469 :rule cong :premises (@p3713 @p6468) :args (@t3354)) % 1.02/1.27 (step @p6470 :rule cong :premises (@p3755 @p6469) :args (@t3355)) % 1.02/1.27 (step @p6471 :rule cong :premises (@p3785 @p6470) :args (@t3356)) % 1.02/1.27 (step @p6472 :rule cong :premises (@p3801 @p6471) :args (@t3357)) % 1.02/1.27 (step @p6473 :rule cong :premises (@p3814 @p6472) :args (@t3358)) % 1.02/1.27 (step @p6474 :rule cong :premises (@p3827 @p6473) :args (@t3359)) % 1.02/1.27 (step @p6475 :rule cong :premises (@p3837 @p6474) :args (@t3360)) % 1.02/1.27 (step @p6476 :rule cong :premises (@p3842 @p6475) :args (@t3361)) % 1.02/1.27 (step @p6477 :rule cong :premises (@p3882 @p6476) :args (@t3362)) % 1.02/1.27 (step @p6478 :rule cong :premises (@p3902 @p6477) :args (@t3363)) % 1.02/1.27 (step @p6479 :rule cong :premises (@p3906 @p6478) :args (@t3364)) % 1.02/1.27 (step @p6480 :rule cong :premises (@p4029 @p6479) :args (@t3365)) % 1.02/1.27 (step @p6481 :rule cong :premises (@p4185 @p6480) :args (@t3366)) % 1.02/1.27 (step @p6482 :rule cong :premises (@p4247 @p6481) :args (@t3367)) % 1.02/1.27 (step @p6483 :rule cong :premises (@p4259 @p6482) :args (@t3368)) % 1.02/1.27 (step @p6484 :rule cong :premises (@p4296 @p6483) :args (@t3369)) % 1.02/1.27 (step @p6485 :rule cong :premises (@p4326 @p6484) :args (@t3370)) % 1.02/1.27 (step @p6486 :rule cong :premises (@p4397 @p6485) :args (@t3371)) % 1.02/1.27 (step @p6487 :rule cong :premises (@p4406 @p6486) :args (@t3372)) % 1.02/1.27 (step @p6488 :rule cong :premises (@p4418 @p6487) :args (@t3373)) % 1.02/1.27 (step @p6489 :rule cong :premises (@p4427 @p6488) :args (@t3374)) % 1.02/1.27 (step @p6490 :rule cong :premises (@p4488 @p6489) :args (@t3375)) % 1.02/1.27 (step @p6491 :rule cong :premises (@p4562 @p6490) :args (@t3376)) % 1.02/1.27 (step @p6492 :rule cong :premises (@p4608 @p6491) :args (@t3377)) % 1.02/1.27 (step @p6493 :rule cong :premises (@p4647 @p6492) :args (@t3378)) % 1.02/1.27 (step @p6494 :rule cong :premises (@p4670 @p6493) :args (@t3379)) % 1.02/1.27 (step @p6495 :rule cong :premises (@p4686 @p6494) :args (@t3380)) % 1.02/1.27 (step @p6496 :rule cong :premises (@p4727 @p6495) :args (@t3381)) % 1.02/1.27 (step @p6497 :rule cong :premises (@p4785 @p6496) :args (@t3382)) % 1.02/1.27 (step @p6498 :rule cong :premises (@p4816 @p6497) :args (@t3383)) % 1.02/1.27 (step @p6499 :rule cong :premises (@p4825 @p6498) :args (@t3384)) % 1.02/1.27 (step @p6500 :rule cong :premises (@p4833 @p6499) :args (@t3385)) % 1.02/1.27 (step @p6501 :rule cong :premises (@p4844 @p6500) :args (@t3386)) % 1.02/1.27 (step @p6502 :rule cong :premises (@p4852 @p6501) :args (@t3387)) % 1.02/1.27 (step @p6503 :rule cong :premises (@p4869 @p6502) :args (@t3388)) % 1.02/1.27 (step @p6504 :rule cong :premises (@p4910 @p6503) :args (@t3389)) % 1.02/1.27 (step @p6505 :rule cong :premises (@p4914 @p6504) :args (@t3390)) % 1.02/1.27 (step @p6506 :rule cong :premises (@p4929 @p6505) :args (@t3391)) % 1.02/1.27 (step @p6507 :rule cong :premises (@p4933 @p6506) :args (@t3392)) % 1.02/1.27 (step @p6508 :rule cong :premises (@p4963 @p6507) :args (@t3393)) % 1.02/1.27 (step @p6509 :rule cong :premises (@p4988 @p6508) :args (@t3394)) % 1.02/1.27 (step @p6510 :rule cong :premises (@p5002 @p6509) :args (@t3395)) % 1.02/1.27 (step @p6511 :rule cong :premises (@p5011 @p6510) :args (@t3396)) % 1.02/1.27 (step @p6512 :rule cong :premises (@p5032 @p6511) :args (@t3397)) % 1.02/1.27 (step @p6513 :rule cong :premises (@p5070 @p6512) :args (@t3398)) % 1.02/1.27 (step @p6514 :rule cong :premises (@p5103 @p6513) :args (@t3399)) % 1.02/1.27 (step @p6515 :rule cong :premises (@p5163 @p6514) :args (@t3400)) % 1.02/1.27 (step @p6516 :rule cong :premises (@p5177 @p6515) :args (@t3401)) % 1.02/1.27 (step @p6517 :rule cong :premises (@p5192 @p6516) :args (@t3402)) % 1.02/1.27 (step @p6518 :rule cong :premises (@p5197 @p6517) :args (@t3403)) % 1.02/1.27 (step @p6519 :rule cong :premises (@p5215 @p6518) :args (@t3404)) % 1.02/1.27 (step @p6520 :rule cong :premises (@p5233 @p6519) :args (@t3405)) % 1.02/1.27 (step @p6521 :rule cong :premises (@p5258 @p6520) :args (@t3406)) % 1.02/1.27 (step @p6522 :rule cong :premises (@p5285 @p6521) :args (@t3407)) % 1.02/1.27 (step @p6523 :rule cong :premises (@p5340 @p6522) :args (@t3408)) % 1.02/1.27 (step @p6524 :rule cong :premises (@p5349 @p6523) :args (@t3409)) % 1.02/1.27 (step @p6525 :rule refl :args (tptp.emptyinunitempty)) % 1.02/1.27 (step @p6526 :rule cong :premises (@p6525 @p6524) :args (@t3410)) % 1.02/1.27 (step @p6527 :rule cong :premises (@p5370 @p6526) :args (@t3411)) % 1.02/1.27 (step @p6528 :rule cong :premises (@p5410 @p6527) :args (@t3412)) % 1.02/1.27 (step @p6529 :rule cong :premises (@p5456 @p6528) :args (@t3413)) % 1.02/1.27 (step @p6530 :rule cong :premises (@p5470 @p6529) :args (@t3414)) % 1.02/1.27 (step @p6531 :rule cong :premises (@p5503 @p6530) :args (@t3415)) % 1.02/1.27 (step @p6532 :rule cong :premises (@p5508 @p6531) :args (@t3416)) % 1.02/1.27 (step @p6533 :rule cong :premises (@p5521 @p6532) :args (@t3417)) % 1.02/1.27 (step @p6534 :rule cong :premises (@p5536 @p6533) :args (@t3418)) % 1.02/1.27 (step @p6535 :rule cong :premises (@p5568 @p6534) :args (@t3419)) % 1.02/1.27 (step @p6536 :rule cong :premises (@p5577 @p6535) :args (@t3420)) % 1.02/1.27 (step @p6537 :rule cong :premises (@p5588 @p6536) :args (@t3421)) % 1.02/1.27 (step @p6538 :rule cong :premises (@p5603 @p6537) :args (@t3422)) % 1.02/1.27 (step @p6539 :rule cong :premises (@p5639 @p6538) :args (@t3423)) % 1.02/1.27 (step @p6540 :rule cong :premises (@p5648 @p6539) :args (@t3424)) % 1.02/1.27 (step @p6541 :rule cong :premises (@p5667 @p6540) :args (@t3425)) % 1.02/1.27 (step @p6542 :rule cong :premises (@p5679 @p6541) :args (@t3426)) % 1.02/1.27 (step @p6543 :rule cong :premises (@p5696 @p6542) :args (@t3427)) % 1.02/1.27 (step @p6544 :rule cong :premises (@p5747 @p6543) :args (@t3428)) % 1.02/1.27 (step @p6545 :rule cong :premises (@p6018 @p6544) :args (@t3429)) % 1.02/1.27 (step @p6546 :rule cong :premises (@p6063 @p6545) :args (@t3430)) % 1.02/1.27 (step @p6547 :rule cong :premises (@p6150 @p6546) :args (@t3431)) % 1.02/1.27 (step @p6548 :rule cong :premises (@p6236 @p6547) :args (@t3432)) % 1.02/1.27 (step @p6549 :rule cong :premises (@p6256 @p6548) :args (@t3433)) % 1.02/1.27 (step @p6550 :rule refl :args (tptp.omega0Ax)) % 1.02/1.27 (step @p6551 :rule cong :premises (@p6550 @p6549) :args (@t3434)) % 1.02/1.27 (step @p6552 :rule cong :premises (@p6275 @p6551) :args (@t3435)) % 1.02/1.27 (step @p6553 :rule cong :premises (@p6288 @p6552) :args (@t3436)) % 1.02/1.27 (step @p6554 :rule cong :premises (@p6298 @p6553) :args (@t3437)) % 1.02/1.27 (step @p6555 :rule cong :premises (@p6302 @p6554) :args (@t3438)) % 1.02/1.27 (step @p6556 :rule cong :premises (@p6313 @p6555) :args (@t3439)) % 1.02/1.27 (step @p6557 :rule cong :premises (@p6556) :args ((not @t3439))) % 1.02/1.27 (step @p6558 :rule cong :premises (@p841 @p783) :args (@t862)) % 1.02/1.27 (step @p6559 :rule cong :premises (@p6558) :args (@t864)) % 1.02/1.27 (step @p6560 :rule cong :premises (@p787 @p6559) :args (@t865)) % 1.02/1.27 (step @p6561 :rule cong :premises (@p887 @p6560) :args (@t866)) % 1.02/1.27 (step @p6562 :rule cong :premises (@p904 @p6561) :args (@t867)) % 1.02/1.27 (step @p6563 :rule cong :premises (@p959 @p6562) :args (@t868)) % 1.02/1.27 (step @p6564 :rule cong :premises (@p1016 @p6563) :args (@t869)) % 1.02/1.27 (step @p6565 :rule cong :premises (@p1063 @p6564) :args (@t870)) % 1.02/1.27 (step @p6566 :rule cong :premises (@p1110 @p6565) :args (@t871)) % 1.02/1.27 (step @p6567 :rule cong :premises (@p1129 @p6566) :args (@t872)) % 1.02/1.27 (step @p6568 :rule cong :premises (@p1151 @p6567) :args (@t873)) % 1.02/1.27 (step @p6569 :rule cong :premises (@p1160 @p6568) :args (@t874)) % 1.02/1.27 (step @p6570 :rule cong :premises (@p1182 @p6569) :args (@t875)) % 1.02/1.27 (step @p6571 :rule cong :premises (@p1201 @p6570) :args (@t876)) % 1.02/1.27 (step @p6572 :rule cong :premises (@p1208 @p6571) :args (@t877)) % 1.02/1.27 (step @p6573 :rule cong :premises (@p1279 @p6572) :args (@t878)) % 1.02/1.27 (step @p6574 :rule cong :premises (@p1320 @p6573) :args (@t879)) % 1.02/1.27 (step @p6575 :rule cong :premises (@p1418 @p6574) :args (@t880)) % 1.02/1.27 (step @p6576 :rule cong :premises (@p1430 @p6575) :args (@t881)) % 1.02/1.27 (step @p6577 :rule cong :premises (@p1467 @p6576) :args (@t882)) % 1.02/1.27 (step @p6578 :rule cong :premises (@p1507 @p6577) :args (@t883)) % 1.02/1.27 (step @p6579 :rule cong :premises (@p1538 @p6578) :args (@t884)) % 1.02/1.27 (step @p6580 :rule cong :premises (@p1548 @p6579) :args (@t885)) % 1.02/1.27 (step @p6581 :rule cong :premises (@p1557 @p6580) :args (@t886)) % 1.02/1.27 (step @p6582 :rule cong :premises (@p1578 @p6581) :args (@t887)) % 1.02/1.27 (step @p6583 :rule cong :premises (@p1585 @p6582) :args (@t888)) % 1.02/1.27 (step @p6584 :rule cong :premises (@p1654 @p6583) :args (@t889)) % 1.02/1.27 (step @p6585 :rule cong :premises (@p1726 @p6584) :args (@t890)) % 1.02/1.27 (step @p6586 :rule cong :premises (@p1754 @p6585) :args (@t891)) % 1.02/1.27 (step @p6587 :rule cong :premises (@p1774 @p6586) :args (@t892)) % 1.02/1.27 (step @p6588 :rule cong :premises (@p1920 @p6587) :args (@t893)) % 1.02/1.27 (step @p6589 :rule cong :premises (@p2068 @p6588) :args (@t894)) % 1.02/1.27 (step @p6590 :rule cong :premises (@p2107 @p6589) :args (@t895)) % 1.02/1.27 (step @p6591 :rule cong :premises (@p2119 @p6590) :args (@t896)) % 1.02/1.27 (step @p6592 :rule cong :premises (@p2144 @p6591) :args (@t897)) % 1.02/1.27 (step @p6593 :rule cong :premises (@p2175 @p6592) :args (@t898)) % 1.02/1.27 (step @p6594 :rule cong :premises (@p2192 @p6593) :args (@t899)) % 1.02/1.27 (step @p6595 :rule cong :premises (@p2243 @p6594) :args (@t900)) % 1.02/1.27 (step @p6596 :rule cong :premises (@p2252 @p6595) :args (@t901)) % 1.02/1.27 (step @p6597 :rule cong :premises (@p2300 @p6596) :args (@t902)) % 1.02/1.27 (step @p6598 :rule cong :premises (@p2330 @p6597) :args (@t903)) % 1.02/1.27 (step @p6599 :rule cong :premises (@p2396 @p6598) :args (@t904)) % 1.02/1.27 (step @p6600 :rule cong :premises (@p2438 @p6599) :args (@t905)) % 1.02/1.27 (step @p6601 :rule cong :premises (@p2480 @p6600) :args (@t906)) % 1.02/1.27 (step @p6602 :rule cong :premises (@p2522 @p6601) :args (@t907)) % 1.02/1.27 (step @p6603 :rule cong :premises (@p2564 @p6602) :args (@t908)) % 1.02/1.27 (step @p6604 :rule cong :premises (@p2569 @p6603) :args (@t909)) % 1.02/1.27 (step @p6605 :rule cong :premises (@p2620 @p6604) :args (@t910)) % 1.02/1.27 (step @p6606 :rule cong :premises (@p2644 @p6605) :args (@t911)) % 1.02/1.27 (step @p6607 :rule cong :premises (@p2665 @p6606) :args (@t912)) % 1.02/1.27 (step @p6608 :rule cong :premises (@p2681 @p6607) :args (@t913)) % 1.02/1.27 (step @p6609 :rule cong :premises (@p2696 @p6608) :args (@t914)) % 1.02/1.27 (step @p6610 :rule cong :premises (@p2722 @p6609) :args (@t915)) % 1.02/1.27 (step @p6611 :rule cong :premises (@p2737 @p6610) :args (@t916)) % 1.02/1.27 (step @p6612 :rule cong :premises (@p2742 @p6611) :args (@t917)) % 1.02/1.27 (step @p6613 :rule cong :premises (@p2799 @p6612) :args (@t918)) % 1.02/1.27 (step @p6614 :rule cong :premises (@p2814 @p6613) :args (@t919)) % 1.02/1.27 (step @p6615 :rule cong :premises (@p2831 @p6614) :args (@t920)) % 1.02/1.27 (step @p6616 :rule cong :premises (@p2847 @p6615) :args (@t921)) % 1.02/1.27 (step @p6617 :rule cong :premises (@p2921 @p6616) :args (@t922)) % 1.02/1.27 (step @p6618 :rule cong :premises (@p2947 @p6617) :args (@t923)) % 1.02/1.27 (step @p6619 :rule cong :premises (@p2964 @p6618) :args (@t924)) % 1.02/1.27 (step @p6620 :rule cong :premises (@p2984 @p6619) :args (@t925)) % 1.02/1.27 (step @p6621 :rule cong :premises (@p2996 @p6620) :args (@t926)) % 1.02/1.27 (step @p6622 :rule cong :premises (@p3016 @p6621) :args (@t927)) % 1.02/1.27 (step @p6623 :rule cong :premises (@p3033 @p6622) :args (@t928)) % 1.02/1.27 (step @p6624 :rule cong :premises (@p3046 @p6623) :args (@t929)) % 1.02/1.27 (step @p6625 :rule cong :premises (@p3055 @p6624) :args (@t930)) % 1.02/1.27 (step @p6626 :rule cong :premises (@p3064 @p6625) :args (@t931)) % 1.02/1.27 (step @p6627 :rule cong :premises (@p3080 @p6626) :args (@t932)) % 1.02/1.27 (step @p6628 :rule cong :premises (@p3125 @p6627) :args (@t933)) % 1.02/1.27 (step @p6629 :rule cong :premises (@p3140 @p6628) :args (@t934)) % 1.02/1.27 (step @p6630 :rule cong :premises (@p3161 @p6629) :args (@t935)) % 1.02/1.27 (step @p6631 :rule cong :premises (@p3178 @p6630) :args (@t936)) % 1.02/1.27 (step @p6632 :rule cong :premises (@p3204 @p6631) :args (@t937)) % 1.02/1.27 (step @p6633 :rule cong :premises (@p3224 @p6632) :args (@t938)) % 1.02/1.27 (step @p6634 :rule cong :premises (@p3237 @p6633) :args (@t939)) % 1.02/1.27 (step @p6635 :rule cong :premises (@p3249 @p6634) :args (@t940)) % 1.02/1.27 (step @p6636 :rule cong :premises (@p3264 @p6635) :args (@t941)) % 1.02/1.27 (step @p6637 :rule cong :premises (@p3273 @p6636) :args (@t942)) % 1.02/1.27 (step @p6638 :rule cong :premises (@p3312 @p6637) :args (@t943)) % 1.02/1.27 (step @p6639 :rule cong :premises (@p3326 @p6638) :args (@t944)) % 1.02/1.27 (step @p6640 :rule cong :premises (@p3342 @p6639) :args (@t945)) % 1.02/1.27 (step @p6641 :rule cong :premises (@p3357 @p6640) :args (@t946)) % 1.02/1.27 (step @p6642 :rule cong :premises (@p3379 @p6641) :args (@t947)) % 1.02/1.27 (step @p6643 :rule cong :premises (@p3430 @p6642) :args (@t948)) % 1.02/1.27 (step @p6644 :rule cong :premises (@p3439 @p6643) :args (@t949)) % 1.02/1.27 (step @p6645 :rule cong :premises (@p3444 @p6644) :args (@t950)) % 1.02/1.27 (step @p6646 :rule cong :premises (@p3456 @p6645) :args (@t951)) % 1.02/1.27 (step @p6647 :rule cong :premises (@p3490 @p6646) :args (@t952)) % 1.02/1.27 (step @p6648 :rule cong :premises (@p3511 @p6647) :args (@t953)) % 1.02/1.27 (step @p6649 :rule cong :premises (@p3537 @p6648) :args (@t954)) % 1.02/1.27 (step @p6650 :rule cong :premises (@p3553 @p6649) :args (@t955)) % 1.02/1.27 (step @p6651 :rule cong :premises (@p3574 @p6650) :args (@t956)) % 1.02/1.27 (step @p6652 :rule cong :premises (@p3583 @p6651) :args (@t957)) % 1.02/1.27 (step @p6653 :rule cong :premises (@p3599 @p6652) :args (@t958)) % 1.02/1.27 (step @p6654 :rule cong :premises (@p3615 @p6653) :args (@t959)) % 1.02/1.27 (step @p6655 :rule cong :premises (@p3634 @p6654) :args (@t960)) % 1.02/1.27 (step @p6656 :rule cong :premises (@p3658 @p6655) :args (@t961)) % 1.02/1.27 (step @p6657 :rule cong :premises (@p3678 @p6656) :args (@t962)) % 1.02/1.27 (step @p6658 :rule cong :premises (@p3703 @p6657) :args (@t963)) % 1.02/1.27 (step @p6659 :rule cong :premises (@p3713 @p6658) :args (@t964)) % 1.02/1.27 (step @p6660 :rule cong :premises (@p3755 @p6659) :args (@t965)) % 1.02/1.27 (step @p6661 :rule cong :premises (@p3785 @p6660) :args (@t966)) % 1.02/1.27 (step @p6662 :rule cong :premises (@p3801 @p6661) :args (@t967)) % 1.02/1.27 (step @p6663 :rule cong :premises (@p3814 @p6662) :args (@t968)) % 1.02/1.27 (step @p6664 :rule cong :premises (@p3827 @p6663) :args (@t969)) % 1.02/1.27 (step @p6665 :rule cong :premises (@p3837 @p6664) :args (@t970)) % 1.02/1.27 (step @p6666 :rule cong :premises (@p3842 @p6665) :args (@t971)) % 1.02/1.27 (step @p6667 :rule cong :premises (@p3882 @p6666) :args (@t972)) % 1.02/1.27 (step @p6668 :rule cong :premises (@p3902 @p6667) :args (@t973)) % 1.02/1.27 (step @p6669 :rule cong :premises (@p3906 @p6668) :args (@t974)) % 1.02/1.27 (step @p6670 :rule cong :premises (@p4029 @p6669) :args (@t975)) % 1.02/1.27 (step @p6671 :rule cong :premises (@p4185 @p6670) :args (@t976)) % 1.02/1.27 (step @p6672 :rule cong :premises (@p4247 @p6671) :args (@t977)) % 1.02/1.27 (step @p6673 :rule cong :premises (@p4259 @p6672) :args (@t978)) % 1.02/1.27 (step @p6674 :rule cong :premises (@p4296 @p6673) :args (@t979)) % 1.02/1.27 (step @p6675 :rule cong :premises (@p4326 @p6674) :args (@t980)) % 1.02/1.27 (step @p6676 :rule cong :premises (@p4397 @p6675) :args (@t981)) % 1.02/1.27 (step @p6677 :rule cong :premises (@p4406 @p6676) :args (@t982)) % 1.02/1.27 (step @p6678 :rule cong :premises (@p4418 @p6677) :args (@t983)) % 1.02/1.27 (step @p6679 :rule cong :premises (@p4427 @p6678) :args (@t984)) % 1.02/1.27 (step @p6680 :rule cong :premises (@p4488 @p6679) :args (@t985)) % 1.02/1.27 (step @p6681 :rule cong :premises (@p4562 @p6680) :args (@t986)) % 1.02/1.27 (step @p6682 :rule cong :premises (@p4608 @p6681) :args (@t987)) % 1.02/1.27 (step @p6683 :rule cong :premises (@p4647 @p6682) :args (@t988)) % 1.02/1.27 (step @p6684 :rule cong :premises (@p4670 @p6683) :args (@t989)) % 1.02/1.27 (step @p6685 :rule cong :premises (@p4686 @p6684) :args (@t990)) % 1.02/1.27 (step @p6686 :rule cong :premises (@p4727 @p6685) :args (@t991)) % 1.02/1.27 (step @p6687 :rule cong :premises (@p4785 @p6686) :args (@t992)) % 1.02/1.27 (step @p6688 :rule cong :premises (@p4816 @p6687) :args (@t993)) % 1.02/1.27 (step @p6689 :rule cong :premises (@p4825 @p6688) :args (@t994)) % 1.02/1.27 (step @p6690 :rule cong :premises (@p4833 @p6689) :args (@t995)) % 1.02/1.27 (step @p6691 :rule cong :premises (@p4844 @p6690) :args (@t996)) % 1.02/1.27 (step @p6692 :rule cong :premises (@p4852 @p6691) :args (@t997)) % 1.02/1.27 (step @p6693 :rule cong :premises (@p4869 @p6692) :args (@t998)) % 1.02/1.27 (step @p6694 :rule cong :premises (@p4910 @p6693) :args (@t999)) % 1.02/1.27 (step @p6695 :rule cong :premises (@p4914 @p6694) :args (@t1000)) % 1.02/1.27 (step @p6696 :rule cong :premises (@p4929 @p6695) :args (@t1001)) % 1.02/1.27 (step @p6697 :rule cong :premises (@p4933 @p6696) :args (@t1002)) % 1.02/1.27 (step @p6698 :rule cong :premises (@p4963 @p6697) :args (@t1003)) % 1.02/1.27 (step @p6699 :rule cong :premises (@p4988 @p6698) :args (@t1004)) % 1.02/1.27 (step @p6700 :rule cong :premises (@p5002 @p6699) :args (@t1005)) % 1.02/1.27 (step @p6701 :rule cong :premises (@p5011 @p6700) :args (@t1006)) % 1.02/1.27 (step @p6702 :rule cong :premises (@p5032 @p6701) :args (@t1007)) % 1.02/1.27 (step @p6703 :rule cong :premises (@p5070 @p6702) :args (@t1008)) % 1.02/1.27 (step @p6704 :rule cong :premises (@p5103 @p6703) :args (@t1009)) % 1.02/1.27 (step @p6705 :rule cong :premises (@p5163 @p6704) :args (@t1010)) % 1.02/1.27 (step @p6706 :rule cong :premises (@p5177 @p6705) :args (@t1011)) % 1.02/1.27 (step @p6707 :rule cong :premises (@p5192 @p6706) :args (@t1012)) % 1.02/1.27 (step @p6708 :rule cong :premises (@p5197 @p6707) :args (@t1013)) % 1.02/1.27 (step @p6709 :rule cong :premises (@p5215 @p6708) :args (@t1014)) % 1.02/1.27 (step @p6710 :rule cong :premises (@p5233 @p6709) :args (@t1015)) % 1.02/1.27 (step @p6711 :rule cong :premises (@p5258 @p6710) :args (@t1016)) % 1.02/1.27 (step @p6712 :rule cong :premises (@p5285 @p6711) :args (@t1017)) % 1.02/1.27 (step @p6713 :rule cong :premises (@p5340 @p6712) :args (@t1018)) % 1.02/1.27 (step @p6714 :rule cong :premises (@p5349 @p6713) :args (@t1019)) % 1.02/1.27 (step @p6715 :rule cong :premises (@p6525 @p6714) :args (@t1020)) % 1.02/1.27 (step @p6716 :rule cong :premises (@p5370 @p6715) :args (@t1021)) % 1.02/1.27 (step @p6717 :rule cong :premises (@p5410 @p6716) :args (@t1022)) % 1.02/1.27 (step @p6718 :rule cong :premises (@p5456 @p6717) :args (@t1023)) % 1.02/1.27 (step @p6719 :rule cong :premises (@p5470 @p6718) :args (@t1024)) % 1.02/1.27 (step @p6720 :rule cong :premises (@p5503 @p6719) :args (@t1025)) % 1.02/1.27 (step @p6721 :rule cong :premises (@p5508 @p6720) :args (@t1026)) % 1.02/1.27 (step @p6722 :rule cong :premises (@p5521 @p6721) :args (@t1027)) % 1.02/1.27 (step @p6723 :rule cong :premises (@p5536 @p6722) :args (@t1028)) % 1.02/1.27 (step @p6724 :rule cong :premises (@p5568 @p6723) :args (@t1029)) % 1.02/1.27 (step @p6725 :rule cong :premises (@p5577 @p6724) :args (@t1030)) % 1.02/1.27 (step @p6726 :rule cong :premises (@p5588 @p6725) :args (@t1031)) % 1.02/1.27 (step @p6727 :rule cong :premises (@p5603 @p6726) :args (@t1032)) % 1.02/1.27 (step @p6728 :rule cong :premises (@p5639 @p6727) :args (@t1033)) % 1.02/1.27 (step @p6729 :rule cong :premises (@p5648 @p6728) :args (@t1034)) % 1.02/1.27 (step @p6730 :rule cong :premises (@p5667 @p6729) :args (@t1035)) % 1.02/1.27 (step @p6731 :rule cong :premises (@p5679 @p6730) :args (@t1036)) % 1.02/1.27 (step @p6732 :rule cong :premises (@p5696 @p6731) :args (@t1037)) % 1.02/1.27 (step @p6733 :rule cong :premises (@p5747 @p6732) :args (@t1038)) % 1.02/1.27 (step @p6734 :rule cong :premises (@p6018 @p6733) :args (@t1039)) % 1.02/1.27 (step @p6735 :rule cong :premises (@p6063 @p6734) :args (@t1040)) % 1.02/1.27 (step @p6736 :rule cong :premises (@p6150 @p6735) :args (@t1041)) % 1.02/1.27 (step @p6737 :rule cong :premises (@p6236 @p6736) :args (@t1042)) % 1.02/1.27 (step @p6738 :rule cong :premises (@p6256 @p6737) :args (@t1043)) % 1.02/1.27 (step @p6739 :rule cong :premises (@p6550 @p6738) :args (@t1044)) % 1.02/1.27 (step @p6740 :rule cong :premises (@p6275 @p6739) :args (@t1045)) % 1.02/1.27 (step @p6741 :rule cong :premises (@p6288 @p6740) :args (@t1046)) % 1.02/1.27 (step @p6742 :rule cong :premises (@p6298 @p6741) :args (@t1047)) % 1.02/1.27 (step @p6743 :rule cong :premises (@p6302 @p6742) :args (@t1048)) % 1.02/1.27 (step @p6744 :rule cong :premises (@p6313 @p6743) :args (@t1049)) % 1.02/1.27 (step @p6745 :rule cong :premises (@p6744) :args (@t1050)) % 1.02/1.27 (step @p6746 :rule trans :premises (@p6745 @p6557)) % 1.02/1.27 (step @p6747 :rule trans :premises (@p6746 @p6318 @p320)) % 1.02/1.27 (step @p6748 :rule eq_resolve :premises (@p186 @p6747)) % 1.02/1.27 (step @p6749 :rule not_implies_elim2 :premises (@p6748)) % 1.02/1.27 (step @p6750 :rule not_implies_elim2 :premises (@p6749)) % 1.02/1.27 (step @p6751 :rule not_implies_elim2 :premises (@p6750)) % 1.02/1.27 (step @p6752 :rule not_implies_elim2 :premises (@p6751)) % 1.02/1.27 (step @p6753 :rule not_implies_elim2 :premises (@p6752)) % 1.02/1.27 (step @p6754 :rule not_implies_elim2 :premises (@p6753)) % 1.02/1.27 (step @p6755 :rule not_implies_elim2 :premises (@p6754)) % 1.02/1.27 (step @p6756 :rule not_implies_elim2 :premises (@p6755)) % 1.02/1.27 (step @p6757 :rule not_implies_elim2 :premises (@p6756)) % 1.02/1.27 (step @p6758 :rule not_implies_elim2 :premises (@p6757)) % 1.02/1.27 (step @p6759 :rule not_implies_elim2 :premises (@p6758)) % 1.02/1.27 (step @p6760 :rule not_implies_elim2 :premises (@p6759)) % 1.02/1.27 (step @p6761 :rule not_implies_elim2 :premises (@p6760)) % 1.02/1.27 (step @p6762 :rule not_implies_elim2 :premises (@p6761)) % 1.02/1.27 (step @p6763 :rule not_implies_elim2 :premises (@p6762)) % 1.02/1.27 (step @p6764 :rule not_implies_elim2 :premises (@p6763)) % 1.02/1.27 (step @p6765 :rule not_implies_elim2 :premises (@p6764)) % 1.02/1.27 (step @p6766 :rule not_implies_elim2 :premises (@p6765)) % 1.02/1.27 (step @p6767 :rule not_implies_elim2 :premises (@p6766)) % 1.02/1.27 (step @p6768 :rule not_implies_elim2 :premises (@p6767)) % 1.02/1.27 (step @p6769 :rule not_implies_elim2 :premises (@p6768)) % 1.02/1.27 (step @p6770 :rule not_implies_elim2 :premises (@p6769)) % 1.02/1.27 (step @p6771 :rule not_implies_elim2 :premises (@p6770)) % 1.02/1.27 (step @p6772 :rule not_implies_elim2 :premises (@p6771)) % 1.02/1.27 (step @p6773 :rule not_implies_elim2 :premises (@p6772)) % 1.02/1.27 (step @p6774 :rule not_implies_elim2 :premises (@p6773)) % 1.02/1.27 (step @p6775 :rule not_implies_elim2 :premises (@p6774)) % 1.02/1.27 (step @p6776 :rule not_implies_elim2 :premises (@p6775)) % 1.02/1.27 (step @p6777 :rule not_implies_elim2 :premises (@p6776)) % 1.02/1.27 (step @p6778 :rule not_implies_elim2 :premises (@p6777)) % 1.02/1.27 (step @p6779 :rule not_implies_elim2 :premises (@p6778)) % 1.02/1.27 (step @p6780 :rule not_implies_elim2 :premises (@p6779)) % 1.02/1.27 (step @p6781 :rule not_implies_elim2 :premises (@p6780)) % 1.02/1.27 (step @p6782 :rule not_implies_elim2 :premises (@p6781)) % 1.02/1.27 (step @p6783 :rule not_implies_elim2 :premises (@p6782)) % 1.02/1.27 (step @p6784 :rule not_implies_elim2 :premises (@p6783)) % 1.02/1.27 (step @p6785 :rule not_implies_elim2 :premises (@p6784)) % 1.02/1.27 (step @p6786 :rule not_implies_elim2 :premises (@p6785)) % 1.02/1.27 (step @p6787 :rule not_implies_elim2 :premises (@p6786)) % 1.02/1.27 (step @p6788 :rule not_implies_elim2 :premises (@p6787)) % 1.02/1.27 (step @p6789 :rule not_implies_elim2 :premises (@p6788)) % 1.02/1.27 (step @p6790 :rule not_implies_elim2 :premises (@p6789)) % 1.02/1.27 (step @p6791 :rule not_implies_elim2 :premises (@p6790)) % 1.02/1.27 (step @p6792 :rule not_implies_elim2 :premises (@p6791)) % 1.02/1.27 (step @p6793 :rule not_implies_elim2 :premises (@p6792)) % 1.02/1.27 (step @p6794 :rule not_implies_elim2 :premises (@p6793)) % 1.02/1.27 (step @p6795 :rule not_implies_elim2 :premises (@p6794)) % 1.02/1.27 (step @p6796 :rule not_implies_elim2 :premises (@p6795)) % 1.02/1.27 (step @p6797 :rule not_implies_elim2 :premises (@p6796)) % 1.02/1.27 (step @p6798 :rule not_implies_elim2 :premises (@p6797)) % 1.02/1.27 (step @p6799 :rule not_implies_elim2 :premises (@p6798)) % 1.02/1.27 (step @p6800 :rule not_implies_elim2 :premises (@p6799)) % 1.02/1.27 (step @p6801 :rule not_implies_elim2 :premises (@p6800)) % 1.02/1.27 (step @p6802 :rule not_implies_elim2 :premises (@p6801)) % 1.02/1.27 (step @p6803 :rule not_implies_elim2 :premises (@p6802)) % 1.02/1.27 (step @p6804 :rule not_implies_elim2 :premises (@p6803)) % 1.02/1.27 (step @p6805 :rule not_implies_elim2 :premises (@p6804)) % 1.02/1.27 (step @p6806 :rule not_implies_elim2 :premises (@p6805)) % 1.02/1.27 (step @p6807 :rule not_implies_elim2 :premises (@p6806)) % 1.02/1.27 (step @p6808 :rule not_implies_elim2 :premises (@p6807)) % 1.02/1.27 (step @p6809 :rule not_implies_elim2 :premises (@p6808)) % 1.02/1.27 (step @p6810 :rule not_implies_elim2 :premises (@p6809)) % 1.02/1.27 (step @p6811 :rule not_implies_elim2 :premises (@p6810)) % 1.02/1.27 (step @p6812 :rule not_implies_elim2 :premises (@p6811)) % 1.02/1.27 (step @p6813 :rule not_implies_elim2 :premises (@p6812)) % 1.02/1.27 (step @p6814 :rule not_implies_elim2 :premises (@p6813)) % 1.02/1.27 (step @p6815 :rule not_implies_elim2 :premises (@p6814)) % 1.02/1.27 (step @p6816 :rule not_implies_elim2 :premises (@p6815)) % 1.02/1.27 (step @p6817 :rule not_implies_elim2 :premises (@p6816)) % 1.02/1.27 (step @p6818 :rule not_implies_elim2 :premises (@p6817)) % 1.02/1.27 (step @p6819 :rule not_implies_elim2 :premises (@p6818)) % 1.02/1.27 (step @p6820 :rule not_implies_elim2 :premises (@p6819)) % 1.02/1.27 (step @p6821 :rule not_implies_elim2 :premises (@p6820)) % 1.02/1.27 (step @p6822 :rule not_implies_elim2 :premises (@p6821)) % 1.02/1.27 (step @p6823 :rule not_implies_elim2 :premises (@p6822)) % 1.02/1.27 (step @p6824 :rule not_implies_elim2 :premises (@p6823)) % 1.02/1.27 (step @p6825 :rule not_implies_elim2 :premises (@p6824)) % 1.02/1.27 (step @p6826 :rule not_implies_elim2 :premises (@p6825)) % 1.02/1.27 (step @p6827 :rule not_implies_elim2 :premises (@p6826)) % 1.02/1.27 (step @p6828 :rule not_implies_elim2 :premises (@p6827)) % 1.02/1.27 (step @p6829 :rule not_implies_elim2 :premises (@p6828)) % 1.02/1.27 (step @p6830 :rule not_implies_elim2 :premises (@p6829)) % 1.02/1.27 (step @p6831 :rule not_implies_elim2 :premises (@p6830)) % 1.02/1.27 (step @p6832 :rule not_implies_elim2 :premises (@p6831)) % 1.02/1.27 (step @p6833 :rule not_implies_elim2 :premises (@p6832)) % 1.02/1.27 (step @p6834 :rule not_implies_elim2 :premises (@p6833)) % 1.02/1.27 (step @p6835 :rule not_implies_elim2 :premises (@p6834)) % 1.02/1.27 (step @p6836 :rule not_implies_elim2 :premises (@p6835)) % 1.02/1.27 (step @p6837 :rule not_implies_elim2 :premises (@p6836)) % 1.02/1.27 (step @p6838 :rule not_implies_elim2 :premises (@p6837)) % 1.02/1.27 (step @p6839 :rule not_implies_elim2 :premises (@p6838)) % 1.02/1.27 (step @p6840 :rule not_implies_elim2 :premises (@p6839)) % 1.02/1.27 (step @p6841 :rule not_implies_elim2 :premises (@p6840)) % 1.02/1.27 (step @p6842 :rule not_implies_elim2 :premises (@p6841)) % 1.02/1.27 (step @p6843 :rule not_implies_elim2 :premises (@p6842)) % 1.02/1.27 (step @p6844 :rule not_implies_elim2 :premises (@p6843)) % 1.02/1.27 (step @p6845 :rule not_implies_elim2 :premises (@p6844)) % 1.02/1.27 (step @p6846 :rule not_implies_elim2 :premises (@p6845)) % 1.02/1.27 (step @p6847 :rule not_implies_elim2 :premises (@p6846)) % 1.02/1.27 (step @p6848 :rule not_implies_elim2 :premises (@p6847)) % 1.02/1.27 (step @p6849 :rule not_implies_elim2 :premises (@p6848)) % 1.02/1.27 (step @p6850 :rule not_implies_elim2 :premises (@p6849)) % 1.02/1.27 (step @p6851 :rule not_implies_elim2 :premises (@p6850)) % 1.02/1.27 (step @p6852 :rule not_implies_elim2 :premises (@p6851)) % 1.02/1.27 (step @p6853 :rule not_implies_elim2 :premises (@p6852)) % 1.02/1.27 (step @p6854 :rule not_implies_elim2 :premises (@p6853)) % 1.02/1.27 (step @p6855 :rule not_implies_elim2 :premises (@p6854)) % 1.02/1.27 (step @p6856 :rule not_implies_elim2 :premises (@p6855)) % 1.02/1.27 (step @p6857 :rule not_implies_elim2 :premises (@p6856)) % 1.02/1.27 (step @p6858 :rule not_implies_elim2 :premises (@p6857)) % 1.02/1.27 (step @p6859 :rule not_implies_elim2 :premises (@p6858)) % 1.02/1.27 (step @p6860 :rule not_implies_elim2 :premises (@p6859)) % 1.02/1.27 (step @p6861 :rule not_implies_elim2 :premises (@p6860)) % 1.02/1.27 (step @p6862 :rule not_implies_elim2 :premises (@p6861)) % 1.02/1.27 (step @p6863 :rule not_implies_elim2 :premises (@p6862)) % 1.02/1.27 (step @p6864 :rule not_implies_elim2 :premises (@p6863)) % 1.02/1.27 (step @p6865 :rule not_implies_elim2 :premises (@p6864)) % 1.02/1.27 (step @p6866 :rule not_implies_elim2 :premises (@p6865)) % 1.02/1.27 (step @p6867 :rule not_implies_elim2 :premises (@p6866)) % 1.02/1.27 (step @p6868 :rule not_implies_elim2 :premises (@p6867)) % 1.02/1.27 (step @p6869 :rule not_implies_elim2 :premises (@p6868)) % 1.02/1.27 (step @p6870 :rule not_implies_elim2 :premises (@p6869)) % 1.02/1.27 (step @p6871 :rule not_implies_elim2 :premises (@p6870)) % 1.02/1.27 (step @p6872 :rule not_implies_elim2 :premises (@p6871)) % 1.02/1.27 (step @p6873 :rule not_implies_elim2 :premises (@p6872)) % 1.02/1.27 (step @p6874 :rule not_implies_elim2 :premises (@p6873)) % 1.02/1.27 (step @p6875 :rule not_implies_elim2 :premises (@p6874)) % 1.02/1.27 (step @p6876 :rule not_implies_elim2 :premises (@p6875)) % 1.02/1.27 (step @p6877 :rule not_implies_elim2 :premises (@p6876)) % 1.02/1.27 (step @p6878 :rule not_implies_elim2 :premises (@p6877)) % 1.02/1.27 (step @p6879 :rule not_implies_elim2 :premises (@p6878)) % 1.02/1.27 (step @p6880 :rule not_implies_elim2 :premises (@p6879)) % 1.02/1.27 (step @p6881 :rule not_implies_elim2 :premises (@p6880)) % 1.02/1.27 (step @p6882 :rule not_implies_elim2 :premises (@p6881)) % 1.02/1.27 (step @p6883 :rule not_implies_elim2 :premises (@p6882)) % 1.02/1.27 (step @p6884 :rule not_implies_elim2 :premises (@p6883)) % 1.02/1.27 (step @p6885 :rule not_implies_elim2 :premises (@p6884)) % 1.02/1.27 (step @p6886 :rule not_implies_elim2 :premises (@p6885)) % 1.02/1.27 (step @p6887 :rule not_implies_elim2 :premises (@p6886)) % 1.02/1.27 (step @p6888 :rule not_implies_elim2 :premises (@p6887)) % 1.02/1.27 (step @p6889 :rule not_implies_elim2 :premises (@p6888)) % 1.02/1.27 (step @p6890 :rule not_implies_elim2 :premises (@p6889)) % 1.02/1.27 (step @p6891 :rule not_implies_elim2 :premises (@p6890)) % 1.02/1.27 (step @p6892 :rule not_implies_elim2 :premises (@p6891)) % 1.02/1.27 (step @p6893 :rule not_implies_elim2 :premises (@p6892)) % 1.02/1.27 (step @p6894 :rule not_implies_elim2 :premises (@p6893)) % 1.02/1.27 (step @p6895 :rule not_implies_elim1 :premises (@p6894)) % 1.02/1.27 (step @p6896 :rule instantiate :premises (@p6895) :args ((@list @t3444 @t3443 @t3442))) % 1.02/1.27 (step @p6897 :rule not_implies_elim1 :premises (@p6761)) % 1.02/1.27 (step @p6898 :rule instantiate :premises (@p6897) :args ((@list @t3447 @t3446 @t3442))) % 1.02/1.27 (step @p6899 :rule not_implies_elim2 :premises (@p6894)) % 1.02/1.27 (step @p6900 :rule not_implies_elim2 :premises (@p6899)) % 1.02/1.27 (step @p6901 :rule not_implies_elim2 :premises (@p6900)) % 1.02/1.27 (step @p6902 :rule not_implies_elim2 :premises (@p6901)) % 1.02/1.27 (step @p6903 :rule not_implies_elim2 :premises (@p6902)) % 1.02/1.27 (step @p6904 :rule not_implies_elim2 :premises (@p6903)) % 1.02/1.27 (step @p6905 :rule not_implies_elim2 :premises (@p6904)) % 1.02/1.27 (step @p6906 :rule not_implies_elim2 :premises (@p6905)) % 1.02/1.27 (step @p6907 :rule not_implies_elim2 :premises (@p6906)) % 1.02/1.27 (step @p6908 :rule not_implies_elim2 :premises (@p6907)) % 1.02/1.27 (step @p6909 :rule not_implies_elim2 :premises (@p6908)) % 1.02/1.27 (step @p6910 :rule not_implies_elim2 :premises (@p6909)) % 1.02/1.27 (step @p6911 :rule not_implies_elim2 :premises (@p6910)) % 1.02/1.27 (step @p6912 :rule not_implies_elim2 :premises (@p6911)) % 1.02/1.27 (step @p6913 :rule not_implies_elim2 :premises (@p6912)) % 1.02/1.27 (step @p6914 :rule not_implies_elim2 :premises (@p6913)) % 1.02/1.27 (step @p6915 :rule not_implies_elim2 :premises (@p6914)) % 1.02/1.27 (step @p6916 :rule not_implies_elim2 :premises (@p6915)) % 1.02/1.27 (step @p6917 :rule not_implies_elim2 :premises (@p6916)) % 1.02/1.27 (step @p6918 :rule not_implies_elim2 :premises (@p6917)) % 1.02/1.27 (step @p6919 :rule not_implies_elim2 :premises (@p6918)) % 1.02/1.27 (step @p6920 :rule not_implies_elim2 :premises (@p6919)) % 1.02/1.27 (step @p6921 :rule refl :args (@t3452)) % 1.02/1.27 (step @p6922 :rule bool-double-not-elim :args (@t1088)) % 1.02/1.27 (step @p6923 :rule nary_cong :premises (@p6922 @p6921) :args ((or (not @t3453) @t3452))) % 1.02/1.27 (step @p6924 :rule refl :args (@t3448)) % 1.02/1.27 (step @p6925 :rule eq-refl :args (@t3445)) % 1.02/1.27 (step @p6926 :rule skolem_intro :args (@t3446)) % 1.02/1.27 (step @p6927 :rule refl :args (@t3445)) % 1.02/1.27 (step @p6928 :rule cong :premises (@p6927 @p6926) :args ((= @t3445 @t3446))) % 1.02/1.27 (step @p6929 :rule trans :premises (@p6928 @p6925)) % 1.02/1.27 (step @p6930 :rule true_elim :premises (@p6929)) % 1.02/1.27 (step @p6931 :rule refl :args (@t3447)) % 1.02/1.27 (step @p6932 :rule cong :premises (@p6931 @p6930) :args (@t3454)) % 1.02/1.27 (step @p6933 :rule refl :args (@t3442)) % 1.02/1.27 (step @p6934 :rule cong :premises (@p6933 @p6932) :args (@t3455)) % 1.02/1.27 (step @p6935 :rule cong :premises (@p6934) :args (@t3456)) % 1.02/1.27 (step @p6936 :rule nary_cong :premises (@p6935 @p6924) :args (@t3457)) % 1.02/1.27 (step @p6937 :rule cong :premises (@p6936) :args (@t3458)) % 1.02/1.27 (step @p6938 :rule refl :args (@t3453)) % 1.02/1.27 (step @p6939 :rule cong :premises (@p6938 @p6937) :args ((=> @t3453 @t3458))) % 1.02/1.27 (assume-push @p6972 @t3453) % 1.02/1.27 (step @p6941 :rule skolemize :premises (@p6920)) % 1.02/1.27 (step-pop @p6973 :rule scope :premises (@p6941)) % 1.02/1.27 (step @p6942 :rule process_scope :premises (@p6973) :args (@t3458)) % 1.02/1.27 (step @p6944 :rule eq_resolve :premises (@p6942 @p6939)) % 1.02/1.27 (step @p6945 :rule implies_elim :premises (@p6944)) % 1.02/1.27 (step @p6946 :rule eq_resolve :premises (@p6945 @p6923)) % 1.02/1.27 (step @p6947 :rule chain_m_resolution :premises (@p6946 @p6920) :args (@t3452 @t3459 (@list @t1088))) % 1.02/1.27 (step @p6948 :rule bool-double-not-elim :args (@t3449)) % 1.02/1.27 (step @p6949 :rule refl :args (@t3451)) % 1.02/1.27 (step @p6950 :rule nary_cong :premises (@p6949 @p6948) :args ((or @t3451 (not @t3450)))) % 1.02/1.27 (step @p6951 :rule cnf_or_neg :args (@t3451 0)) % 1.02/1.27 (step @p6952 :rule eq_resolve :premises (@p6951 @p6950)) % 1.02/1.27 (step @p6953 :rule reordering :premises (@p6952) :args ((or @t3449 @t3451))) % 1.02/1.27 (step @p6954 :rule chain_m_resolution :premises (@p6953 @p6947) :args (@t3449 @t3459 @t3460)) % 1.02/1.27 (step @p6955 :rule cnf_or_pos :args (@t3462)) % 1.02/1.27 (step @p6956 :rule reordering :premises (@p6955) :args ((or @t3450 @t3461 (not @t3462)))) % 1.02/1.27 (step @p6957 :rule chain_m_resolution :premises (@p6956 @p6954 @p6898) :args (@t3461 @t3463 (@list @t3449 @t3462))) % 1.02/1.27 (step @p6958 :rule cnf_or_pos :args (@t3466)) % 1.02/1.27 (step @p6959 :rule reordering :premises (@p6958) :args ((or @t3465 @t3464 (not @t3466)))) % 1.02/1.27 (step @p6960 :rule chain_m_resolution :premises (@p6959 @p6957 @p6896) :args (@t3464 @t3463 (@list @t3461 @t3466))) % 1.02/1.27 (step @p6961 :rule true_intro :premises (@p6960)) % 1.02/1.27 (step @p6962 :rule refl :args (@t3444)) % 1.02/1.27 (step @p6963 :rule not_implies_elim1 :premises (@p6893)) % 1.02/1.27 (step @p6964 :rule instantiate :premises (@p6963) :args ((@list @t3441 @t3440))) % 1.02/1.27 (step @p6965 :rule cong :premises (@p6964 @p6962) :args (@t3448)) % 1.02/1.27 (step @p6966 :rule cnf_or_neg :args (@t3451 1)) % 1.02/1.27 (step @p6967 :rule chain_m_resolution :premises (@p6966 @p6947) :args ((not @t3448) @t3459 @t3460)) % 1.02/1.27 (step @p6968 :rule false_intro :premises (@p6967)) % 1.02/1.27 (step @p6969 :rule symm :premises (@p6968)) % 1.02/1.27 (step @p6970 :rule trans :premises (@p6969 @p6965 @p6961)) % 1.02/1.27 (step @p6971 false :rule eq_resolve :premises (@p6970 @p194)) % 1.02/1.27 ) % 1.02/1.27 % SZS output end Proof % 1.02/1.27 % cvc5 exiting %------------------------------------------------------------------------------