%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU672^1 : 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 : n028.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 08:52:40 AM UTC 2026 % Result : Theorem 0.93s 1.16s % Output : Proof 0.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU672^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:45:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.57 %----Proving TH0 % 0.93/1.16 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.93/1.16 % SZS status Theorem % 0.93/1.16 % SZS output start Proof % 0.93/1.16 ( % 0.93/1.16 (declare-sort $$unsorted 0) % 0.93/1.16 (declare-const tptp.emptyset $$unsorted) % 0.93/1.16 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.93/1.16 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.dpsetconstrER Bool) % 0.93/1.16 (declare-const tptp.dpsetconstrEL1 Bool) % 0.93/1.16 (declare-const tptp.dpsetconstrERa Bool) % 0.93/1.16 (declare-const tptp.setOfPairsIsBReln Bool) % 0.93/1.16 (declare-const tptp.dpsetconstrSub Bool) % 0.93/1.16 (declare-const tptp.dpsetconstrI Bool) % 0.93/1.16 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.93/1.16 (declare-const tptp.cartprodpairsurjEq Bool) % 0.93/1.16 (declare-const tptp.cartprodsndpairEq Bool) % 0.93/1.16 (declare-const tptp.cartprodfstpairEq Bool) % 0.93/1.16 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.setukpairinjR Bool) % 0.93/1.16 (declare-const tptp.setukpairinjR2 Bool) % 0.93/1.16 (declare-const tptp.upairequniteq Bool) % 0.93/1.16 (declare-const tptp.setukpairinjR11 Bool) % 0.93/1.16 (declare-const tptp.setukpairinjL Bool) % 0.93/1.16 (declare-const tptp.kfstpairEq Bool) % 0.93/1.16 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.kfstsingleton Bool) % 0.93/1.16 (declare-const tptp.setukpairinjL1 Bool) % 0.93/1.16 (declare-const tptp.setunionsingleton Bool) % 0.93/1.16 (declare-const tptp.kpairsurjEq Bool) % 0.93/1.16 (declare-const tptp.setunionE2 Bool) % 0.93/1.16 (declare-const tptp.ksndpairEq Bool) % 0.93/1.16 (declare-const tptp.cartprodmempair Bool) % 0.93/1.16 (declare-const tptp.ubforcartprodlem3 Bool) % 0.93/1.16 (declare-const tptp.ubforcartprodlem2 Bool) % 0.93/1.16 (declare-const tptp.upairsubunion Bool) % 0.93/1.16 (declare-const tptp.singletoninpowunion Bool) % 0.93/1.16 (declare-const tptp.singletoninpowerset Bool) % 0.93/1.16 (declare-const tptp.setukpairIR Bool) % 0.93/1.16 (declare-const tptp.secondinupair Bool) % 0.93/1.16 (declare-const tptp.symdiffIneg2 Bool) % 0.93/1.16 (declare-const tptp.ex1I Bool) % 0.93/1.16 (declare-const tptp.symdiffI2 Bool) % 0.93/1.16 (declare-const tptp.symdiffI1 Bool) % 0.93/1.16 (declare-const tptp.setminusIRneg Bool) % 0.93/1.16 (declare-const tptp.setminusILneg Bool) % 0.93/1.16 (declare-const tptp.setminusERneg Bool) % 0.93/1.16 (declare-const tptp.setminusI Bool) % 0.93/1.16 (declare-const tptp.ubforcartprodlem1 Bool) % 0.93/1.16 (declare-const tptp.quantDeMorgan1 Bool) % 0.93/1.16 (declare-const tptp.sepSubset Bool) % 0.93/1.16 (declare-const tptp.setukpairinjL2 Bool) % 0.93/1.16 (declare-const tptp.emptyE1 Bool) % 0.93/1.16 (declare-const tptp.upairset2E Bool) % 0.93/1.16 (declare-const tptp.inPowerset Bool) % 0.93/1.16 (declare-const tptp.upairsetIR Bool) % 0.93/1.16 (declare-const tptp.setunion__Cong Bool) % 0.93/1.16 (declare-const tptp.cartprodfstin Bool) % 0.93/1.16 (declare-const tptp.powersetE1 Bool) % 0.93/1.16 (declare-const tptp.singletonsswitch Bool) % 0.93/1.16 (declare-const tptp.subset2powerset Bool) % 0.93/1.16 (declare-const tptp.notinsingleton Bool) % 0.93/1.16 (declare-const tptp.subPowSU Bool) % 0.93/1.16 (declare-const tptp.binintersectSubset5 Bool) % 0.93/1.16 (declare-const tptp.exuE1 Bool) % 0.93/1.16 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.setunionI Bool) % 0.93/1.16 (declare-const tptp.ksndsingleton Bool) % 0.93/1.16 (declare-const tptp.notdexE Bool) % 0.93/1.16 (declare-const tptp.powersetE Bool) % 0.93/1.16 (declare-const tptp.omegaSAx Bool) % 0.93/1.16 (declare-const tptp.setadjoinE Bool) % 0.93/1.16 (declare-const tptp.emptyinunitempty Bool) % 0.93/1.16 (declare-const tptp.setminusEL Bool) % 0.93/1.16 (declare-const tptp.descr__Cong Bool) % 0.93/1.16 (declare-const tptp.nonemptyI1 Bool) % 0.93/1.16 (declare-const tptp.emptysetAx Bool) % 0.93/1.16 (declare-const tptp.singletonprop Bool) % 0.93/1.16 (declare-const tptp.nonemptyI Bool) % 0.93/1.16 (declare-const tptp.upairsetIL Bool) % 0.93/1.16 (declare-const tptp.powersetI1 Bool) % 0.93/1.16 (declare-const tptp.kpairp Bool) % 0.93/1.16 (declare-const tptp.eqinunit Bool) % 0.93/1.16 (declare-const tptp.upairsetE Bool) % 0.93/1.16 (declare-const tptp.replAx Bool) % 0.93/1.16 (declare-const tptp.powersetI Bool) % 0.93/1.16 (declare-const tptp.quantDeMorgan4 Bool) % 0.93/1.16 (declare-const tptp.ex1E1 Bool) % 0.93/1.16 (declare-const tptp.setunionE Bool) % 0.93/1.16 (declare-const tptp.omegaIndAx Bool) % 0.93/1.16 (declare-const tptp.dpsetconstrEL2 Bool) % 0.93/1.16 (declare-const tptp.setunionAx Bool) % 0.93/1.16 (declare-const tptp.setoftrueEq Bool) % 0.93/1.16 (declare-const tptp.foundationAx Bool) % 0.93/1.16 (declare-const tptp.cartprodpairmemEL Bool) % 0.93/1.16 (declare-const tptp.emptysetimpfalse Bool) % 0.93/1.16 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.setukpairinjR12 Bool) % 0.93/1.16 (declare-const tptp.upairset2IR Bool) % 0.93/1.16 (declare-const tptp.setminusELneg Bool) % 0.93/1.16 (declare-const tptp.powersetAx Bool) % 0.93/1.16 (declare-const tptp.subsetemptysetimpeq Bool) % 0.93/1.16 (declare-const tptp.setminusER Bool) % 0.93/1.16 (declare-const tptp.setadjoinAx Bool) % 0.93/1.16 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.omega $$unsorted) % 0.93/1.16 (declare-const tptp.emptyInPowerset Bool) % 0.93/1.16 (declare-const tptp.eqimpsubset1 Bool) % 0.93/1.16 (declare-const tptp.cartprodpairin Bool) % 0.93/1.16 (declare-const tptp.binunionE Bool) % 0.93/1.16 (declare-const tptp.dsetconstrER Bool) % 0.93/1.16 (declare-const tptp.notdallE Bool) % 0.93/1.16 (declare-const tptp.cartprodmempair1 Bool) % 0.93/1.16 (declare-const tptp.binunionRsub Bool) % 0.93/1.16 (declare-const tptp.exuE2 Bool) % 0.93/1.16 (declare-const tptp.setminusSubset2 Bool) % 0.93/1.16 (declare-const tptp.dsetconstr__Cong Bool) % 0.93/1.16 (declare-const tptp.setadjoinIR Bool) % 0.93/1.16 (declare-const tptp.notinemptyset Bool) % 0.93/1.16 (declare-const tptp.singletonsuniq Bool) % 0.93/1.16 (declare-const tptp.subsetRefl Bool) % 0.93/1.16 (declare-const tptp.uniqinunit Bool) % 0.93/1.16 (declare-const tptp.cartprodpairmemER Bool) % 0.93/1.16 (declare-const tptp.exuE3u Bool) % 0.93/1.16 (declare-const tptp.setukpairIL Bool) % 0.93/1.16 (declare-const tptp.subsetTrans Bool) % 0.93/1.16 (declare-const tptp.setadjoinOr Bool) % 0.93/1.16 (declare-const tptp.wellorderingAx Bool) % 0.93/1.16 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.93/1.16 (declare-const tptp.vacuousDall Bool) % 0.93/1.16 (declare-const tptp.upairinpowunion Bool) % 0.93/1.16 (declare-const tptp.sepInPowerset Bool) % 0.93/1.16 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.nonemptyImpWitness Bool) % 0.93/1.16 (declare-const tptp.binintersectLsub Bool) % 0.93/1.16 (declare-const tptp.dsetconstrI Bool) % 0.93/1.16 (declare-const tptp.setminusSubset1 Bool) % 0.93/1.16 (declare-const tptp.emptyinPowerset Bool) % 0.93/1.16 (declare-const tptp.prop2setI Bool) % 0.93/1.16 (declare-const tptp.dsetconstrEL Bool) % 0.93/1.16 (declare-const tptp.prop2set2propI Bool) % 0.93/1.16 (declare-const tptp.binunionLsub Bool) % 0.93/1.16 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.93/1.16 (declare-const tptp.exuI2 Bool) % 0.93/1.16 (declare-const tptp.prop2setE Bool) % 0.93/1.16 (declare-const tptp.exuEu Bool) % 0.93/1.16 (declare-const tptp.setadjoinIL Bool) % 0.93/1.16 (declare-const tptp.omega__Cong Bool) % 0.93/1.16 (declare-const tptp.cartprodsndin Bool) % 0.93/1.16 (declare-const tptp.emptysetE Bool) % 0.93/1.16 (declare-const tptp.symdiffIneg1 Bool) % 0.93/1.16 (declare-const tptp.notequalI1 Bool) % 0.93/1.16 (declare-const tptp.emptyI Bool) % 0.93/1.16 (declare-const tptp.noeltsimpempty Bool) % 0.93/1.16 (declare-const tptp.quantDeMorgan2 Bool) % 0.93/1.16 (declare-const tptp.subsetI1 Bool) % 0.93/1.16 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.subsetE Bool) % 0.93/1.16 (declare-const tptp.exuI3 Bool) % 0.93/1.16 (declare-const tptp.subsetE2 Bool) % 0.93/1.16 (declare-const tptp.inCongP Bool) % 0.93/1.16 (declare-const tptp.setunionsingleton1 Bool) % 0.93/1.16 (declare-const tptp.in__Cong Bool) % 0.93/1.16 (declare-const tptp.cartprodmempaircEq Bool) % 0.93/1.16 (declare-const tptp.exu__Cong Bool) % 0.93/1.16 (declare-const tptp.setunionsingleton2 Bool) % 0.93/1.16 (declare-const tptp.exuE3e Bool) % 0.93/1.16 (declare-const tptp.binintersectSubset3 Bool) % 0.93/1.16 (declare-const tptp.setadjoin__Cong Bool) % 0.93/1.16 (declare-const tptp.emptyset__Cong Bool) % 0.93/1.16 (declare-const tptp.binintersectRsub Bool) % 0.93/1.16 (declare-const tptp.nonemptyE1 Bool) % 0.93/1.16 (declare-const tptp.setextAx Bool) % 0.93/1.16 (declare-const tptp.powerset__Cong Bool) % 0.93/1.16 (declare-const tptp.bs114d Bool) % 0.93/1.16 (declare-const tptp.setminusLsub Bool) % 0.93/1.16 (declare-const tptp.eqimpsubset2 Bool) % 0.93/1.16 (declare-const tptp.symdiffE Bool) % 0.93/1.16 (declare-const tptp.omega0Ax Bool) % 0.93/1.16 (declare-const tptp.subsetI2 Bool) % 0.93/1.16 (declare-const tptp.emptysetsubset Bool) % 0.93/1.16 (declare-const tptp.notsubsetI Bool) % 0.93/1.16 (declare-const tptp.ex1I2 Bool) % 0.93/1.16 (declare-const tptp.notequalI2 Bool) % 0.93/1.16 (declare-const tptp.setadjoinSub Bool) % 0.93/1.16 (declare-const tptp.kpairiskpair Bool) % 0.93/1.16 (declare-const tptp.setadjoinSub2 Bool) % 0.93/1.16 (declare-const tptp.disjointsetsI1 Bool) % 0.93/1.16 (declare-const tptp.theprop Bool) % 0.93/1.16 (declare-const tptp.singletonsubset Bool) % 0.93/1.16 (declare-const tptp.setextsub Bool) % 0.93/1.16 (declare-const tptp.setbeta Bool) % 0.93/1.16 (declare-const tptp.binintersectSubset4 Bool) % 0.93/1.16 (declare-const tptp.powersetsubset Bool) % 0.93/1.16 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.binunionIL Bool) % 0.93/1.16 (declare-const tptp.binunionIR Bool) % 0.93/1.16 (declare-const tptp.setukpairinjR1 Bool) % 0.93/1.16 (declare-const tptp.descrp Bool) % 0.93/1.16 (declare-const tptp.quantDeMorgan3 Bool) % 0.93/1.16 (declare-const tptp.binunionEcases Bool) % 0.93/1.16 (declare-const tptp.exuI1 Bool) % 0.93/1.16 (declare-const tptp.binintersectI Bool) % 0.93/1.16 (declare-const tptp.binintersectEL Bool) % 0.93/1.16 (declare-const tptp.binintersectSubset2 Bool) % 0.93/1.16 (declare-const tptp.setext Bool) % 0.93/1.16 (declare-const tptp.binintersectER Bool) % 0.93/1.16 (declare-const tptp.binintersectSubset1 Bool) % 0.93/1.16 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.93/1.16 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.93/1.16 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 0.93/1.16 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.93/1.16 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.93/1.16 (define tptp.func () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 0.93/1.16 (define tptp.funcSet () (let ((_let_1 (@var "Xf" $$unsorted))) (let ((_let_2 (@var "B" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ (_ tptp.dsetconstr (_ tptp.powerset (_ (_ tptp.cartprod _let_3) _let_2))) (lambda (@list _let_1) (_ (_ (_ tptp.func _let_3) _let_2) _let_1)))))))) % 0.93/1.16 (define @t1 () (@var "B" $$unsorted)) % 0.93/1.16 (define @t2 () (@var "A" $$unsorted)) % 0.93/1.16 (define @t3 () (= @t2 @t1)) % 0.93/1.16 (define @t4 () (@var "Xx" $$unsorted)) % 0.93/1.16 (define @t5 () (_ tptp.in @t4)) % 0.93/1.16 (define @t6 () (_ @t5 @t1)) % 0.93/1.16 (define @t7 () (_ @t5 @t2)) % 0.93/1.16 (define @t8 () (= @t7 @t6)) % 0.93/1.16 (define @t9 () (@list @t4)) % 0.93/1.16 (define @t10 () (forall @t9 @t8)) % 0.93/1.16 (define @t11 () (=> @t10 @t3)) % 0.93/1.16 (define @t12 () (@list @t2 @t1)) % 0.93/1.16 (define @t13 () (forall @t12 @t11)) % 0.93/1.16 (define @t14 () (= tptp.setextAx @t13)) % 0.93/1.16 (define @t15 () (_ @t5 tptp.emptyset)) % 0.93/1.16 (define @t16 () (not @t15)) % 0.93/1.16 (define @t17 () (forall @t9 @t16)) % 0.93/1.16 (define @t18 () (= tptp.emptysetAx @t17)) % 0.93/1.16 (define @t19 () (@var "Xy" $$unsorted)) % 0.93/1.16 (define @t20 () (_ tptp.in @t19)) % 0.93/1.16 (define @t21 () (_ @t20 @t2)) % 0.93/1.16 (define @t22 () (= @t19 @t4)) % 0.93/1.16 (define @t23 () (or @t22 @t21)) % 0.93/1.16 (define @t24 () (_ tptp.setadjoin @t4)) % 0.93/1.16 (define @t25 () (_ @t24 @t2)) % 0.93/1.16 (define @t26 () (_ @t20 @t25)) % 0.93/1.16 (define @t27 () (= @t26 @t23)) % 0.93/1.16 (define @t28 () (@list @t4 @t2 @t19)) % 0.93/1.16 (define @t29 () (forall @t28 @t27)) % 0.93/1.16 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.93/1.16 (define @t31 () (=> @t6 @t7)) % 0.93/1.16 (define @t32 () (forall @t9 @t31)) % 0.93/1.16 (define @t33 () (_ tptp.powerset @t2)) % 0.93/1.16 (define @t34 () (_ tptp.in @t1)) % 0.93/1.16 (define @t35 () (_ @t34 @t33)) % 0.93/1.16 (define @t36 () (= @t35 @t32)) % 0.93/1.16 (define @t37 () (forall @t12 @t36)) % 0.93/1.16 (define @t38 () (= tptp.powersetAx @t37)) % 0.93/1.16 (define @t39 () (_ @t34 @t2)) % 0.93/1.16 (define @t40 () (and @t6 @t39)) % 0.93/1.16 (define @t41 () (@list @t1)) % 0.93/1.16 (define @t42 () (exists @t41 @t40)) % 0.93/1.16 (define @t43 () (_ tptp.setunion @t2)) % 0.93/1.16 (define @t44 () (_ @t5 @t43)) % 0.93/1.16 (define @t45 () (= @t44 @t42)) % 0.93/1.16 (define @t46 () (@list @t2 @t4)) % 0.93/1.16 (define @t47 () (forall @t46 @t45)) % 0.93/1.16 (define @t48 () (= tptp.setunionAx @t47)) % 0.93/1.16 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.93/1.16 (define @t50 () (_ @t49 tptp.omega)) % 0.93/1.16 (define @t51 () (_ @t24 @t4)) % 0.93/1.16 (define @t52 () (_ tptp.in @t51)) % 0.93/1.16 (define @t53 () (_ @t52 tptp.omega)) % 0.93/1.16 (define @t54 () (_ @t5 tptp.omega)) % 0.93/1.16 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.93/1.16 (define @t56 () (= tptp.omegaSAx @t55)) % 0.93/1.16 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.93/1.16 (define @t58 () (_ @t52 @t2)) % 0.93/1.16 (define @t59 () (and @t54 @t7)) % 0.93/1.16 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.93/1.16 (define @t61 () (_ @t49 @t2)) % 0.93/1.16 (define @t62 () (and @t61 @t60)) % 0.93/1.16 (define @t63 () (=> @t62 @t57)) % 0.93/1.16 (define @t64 () (@list @t2)) % 0.93/1.16 (define @t65 () (forall @t64 @t63)) % 0.93/1.16 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.93/1.16 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.93/1.16 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.93/1.16 (define @t69 () (and @t21 @t68)) % 0.93/1.16 (define @t70 () (@list @t19)) % 0.93/1.16 (define @t71 () (exists @t70 @t69)) % 0.93/1.16 (define @t72 () (= @t6 @t71)) % 0.93/1.16 (define @t73 () (forall @t9 @t72)) % 0.93/1.16 (define @t74 () (exists @t41 @t73)) % 0.93/1.16 (define @t75 () (_ @t67 @t4)) % 0.93/1.16 (define @t76 () (_ @t75 @t19)) % 0.93/1.16 (define @t77 () (lambda @t70 @t76)) % 0.93/1.16 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.93/1.16 (define @t79 () (forall @t9 @t78)) % 0.93/1.16 (define @t80 () (=> @t79 @t74)) % 0.93/1.16 (define @t81 () (@list @t67 @t2)) % 0.93/1.16 (define @t82 () (forall @t81 @t80)) % 0.93/1.16 (define @t83 () (= tptp.replAx @t82)) % 0.93/1.16 (define @t84 () (and @t6 @t7)) % 0.93/1.16 (define @t85 () (exists @t9 @t84)) % 0.93/1.16 (define @t86 () (not @t85)) % 0.93/1.16 (define @t87 () (and @t39 @t86)) % 0.93/1.16 (define @t88 () (exists @t41 @t87)) % 0.93/1.16 (define @t89 () (exists @t9 @t7)) % 0.93/1.16 (define @t90 () (=> @t89 @t88)) % 0.93/1.16 (define @t91 () (forall @t64 @t90)) % 0.93/1.16 (define @t92 () (= tptp.foundationAx @t91)) % 0.93/1.16 (define @t93 () (@var "E" $$unsorted)) % 0.93/1.16 (define @t94 () (_ @t5 @t93)) % 0.93/1.16 (define @t95 () (@var "D" $$unsorted)) % 0.93/1.16 (define @t96 () (_ @t20 @t95)) % 0.93/1.16 (define @t97 () (_ @t20 @t93)) % 0.93/1.16 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.93/1.16 (define @t99 () (or @t98 @t94)) % 0.93/1.16 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.93/1.16 (define @t101 () (=> @t100 @t99)) % 0.93/1.16 (define @t102 () (@list @t93)) % 0.93/1.16 (define @t103 () (forall @t102 @t101)) % 0.93/1.16 (define @t104 () (@var "C" $$unsorted)) % 0.93/1.16 (define @t105 () (_ @t20 @t104)) % 0.93/1.16 (define @t106 () (and @t96 @t105)) % 0.93/1.16 (define @t107 () (exists @t70 @t106)) % 0.93/1.16 (define @t108 () (not @t107)) % 0.93/1.16 (define @t109 () (_ @t5 @t104)) % 0.93/1.16 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.93/1.16 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.93/1.16 (define @t112 () (@list @t95 @t4)) % 0.93/1.16 (define @t113 () (exists @t112 @t111)) % 0.93/1.16 (define @t114 () (exists @t9 @t109)) % 0.93/1.16 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.93/1.16 (define @t116 () (and @t115 @t114)) % 0.93/1.16 (define @t117 () (=> @t116 @t113)) % 0.93/1.16 (define @t118 () (@list @t104)) % 0.93/1.16 (define @t119 () (forall @t118 @t117)) % 0.93/1.16 (define @t120 () (_ @t5 @t95)) % 0.93/1.16 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.93/1.16 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.93/1.16 (define @t123 () (or @t122 @t121)) % 0.93/1.16 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.93/1.16 (define @t125 () (and @t124 @t110)) % 0.93/1.16 (define @t126 () (=> @t125 @t123)) % 0.93/1.16 (define @t127 () (@list @t104 @t95)) % 0.93/1.16 (define @t128 () (forall @t127 @t126)) % 0.93/1.16 (define @t129 () (= @t4 @t19)) % 0.93/1.16 (define @t130 () (= @t109 @t105)) % 0.93/1.16 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.93/1.16 (define @t132 () (=> @t131 @t129)) % 0.93/1.16 (define @t133 () (and @t7 @t21)) % 0.93/1.16 (define @t134 () (=> @t133 @t132)) % 0.93/1.16 (define @t135 () (@list @t4 @t19)) % 0.93/1.16 (define @t136 () (forall @t135 @t134)) % 0.93/1.16 (define @t137 () (=> @t124 @t115)) % 0.93/1.16 (define @t138 () (forall @t118 @t137)) % 0.93/1.16 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.93/1.16 (define @t140 () (exists @t41 @t139)) % 0.93/1.16 (define @t141 () (forall @t64 @t140)) % 0.93/1.16 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.93/1.16 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.93/1.16 (define @t144 () (_ @t143 @t4)) % 0.93/1.16 (define @t145 () (lambda @t9 @t144)) % 0.93/1.16 (define @t146 () (_ tptp.descr @t145)) % 0.93/1.16 (define @t147 () (_ @t143 @t146)) % 0.93/1.16 (define @t148 () (_ tptp.exu @t145)) % 0.93/1.16 (define @t149 () (=> @t148 @t147)) % 0.93/1.16 (define @t150 () (@list @t143)) % 0.93/1.16 (define @t151 () (forall @t150 @t149)) % 0.93/1.16 (define @t152 () (= tptp.descrp @t151)) % 0.93/1.16 (define @t153 () (_ @t143 @t19)) % 0.93/1.16 (define @t154 () (lambda @t70 @t153)) % 0.93/1.16 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.93/1.16 (define @t156 () (_ @t155 @t154)) % 0.93/1.16 (define @t157 () (_ @t5 @t156)) % 0.93/1.16 (define @t158 () (=> @t144 @t157)) % 0.93/1.16 (define @t159 () (@list @t2 @t143 @t4)) % 0.93/1.16 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.93/1.16 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.93/1.16 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.93/1.16 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.93/1.16 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.93/1.16 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.93/1.16 (define @t166 () (=> @t153 @t129)) % 0.93/1.16 (define @t167 () (forall @t70 @t166)) % 0.93/1.16 (define @t168 () (and @t144 @t167)) % 0.93/1.16 (define @t169 () (exists @t9 @t168)) % 0.93/1.16 (define @t170 () (=> @t148 @t169)) % 0.93/1.16 (define @t171 () (forall @t150 @t170)) % 0.93/1.16 (define @t172 () (= tptp.exuE1 @t171)) % 0.93/1.16 (define @t173 () (@var "Xphi" Bool)) % 0.93/1.16 (define @t174 () (_ tptp.prop2set @t173)) % 0.93/1.16 (define @t175 () (_ @t5 @t174)) % 0.93/1.16 (define @t176 () (@list @t173 @t4)) % 0.93/1.16 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.93/1.16 (define @t178 () (= tptp.prop2setE @t177)) % 0.93/1.16 (define @t179 () (@list @t173)) % 0.93/1.16 (define @t180 () (forall @t179 @t173)) % 0.93/1.16 (define @t181 () (=> @t15 @t180)) % 0.93/1.16 (define @t182 () (forall @t9 @t181)) % 0.93/1.16 (define @t183 () (= tptp.emptysetE @t182)) % 0.93/1.16 (define @t184 () (forall @t9 (=> @t15 false))) % 0.93/1.16 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.93/1.16 (define @t186 () (exists @t9 @t144)) % 0.93/1.16 (define @t187 () (=> @t148 @t186)) % 0.93/1.16 (define @t188 () (forall @t150 @t187)) % 0.93/1.16 (define @t189 () (= tptp.exuE3e @t188)) % 0.93/1.16 (define @t190 () (=> @t32 @t3)) % 0.93/1.16 (define @t191 () (=> @t7 @t6)) % 0.93/1.16 (define @t192 () (forall @t9 @t191)) % 0.93/1.16 (define @t193 () (=> @t192 @t190)) % 0.93/1.16 (define @t194 () (forall @t12 @t193)) % 0.93/1.16 (define @t195 () (= tptp.setext @t194)) % 0.93/1.16 (define @t196 () (= @t2 tptp.emptyset)) % 0.93/1.16 (define @t197 () (not @t7)) % 0.93/1.16 (define @t198 () (forall @t9 @t197)) % 0.93/1.16 (define @t199 () (=> @t198 @t196)) % 0.93/1.16 (define @t200 () (forall @t64 @t199)) % 0.93/1.16 (define @t201 () (= tptp.emptyI @t200)) % 0.93/1.16 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.93/1.16 (define @t203 () (forall @t159 @t202)) % 0.93/1.16 (define @t204 () (= tptp.setbeta @t203)) % 0.93/1.16 (define @t205 () (_ tptp.nonempty @t2)) % 0.93/1.16 (define @t206 () (=> @t205 @t89)) % 0.93/1.16 (define @t207 () (forall @t64 @t206)) % 0.93/1.16 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.93/1.16 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.93/1.16 (define @t210 () (=> @t7 @t209)) % 0.93/1.16 (define @t211 () (forall @t159 @t210)) % 0.93/1.16 (define @t212 () (= tptp.nonemptyI @t211)) % 0.93/1.16 (define @t213 () (=> @t89 @t205)) % 0.93/1.16 (define @t214 () (forall @t64 @t213)) % 0.93/1.16 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.93/1.16 (define @t216 () (_ @t24 @t19)) % 0.93/1.16 (define @t217 () (_ @t5 @t216)) % 0.93/1.16 (define @t218 () (forall @t135 @t217)) % 0.93/1.16 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.93/1.16 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.93/1.16 (define @t221 () (_ @t49 @t220)) % 0.93/1.16 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.93/1.16 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.93/1.16 (define @t224 () (=> @t21 @t173)) % 0.93/1.16 (define @t225 () (=> @t224 @t173)) % 0.93/1.16 (define @t226 () (=> @t22 @t173)) % 0.93/1.16 (define @t227 () (=> @t226 @t225)) % 0.93/1.16 (define @t228 () (forall @t179 @t227)) % 0.93/1.16 (define @t229 () (=> @t26 @t228)) % 0.93/1.16 (define @t230 () (forall @t28 @t229)) % 0.93/1.16 (define @t231 () (= tptp.setadjoinE @t230)) % 0.93/1.16 (define @t232 () (=> @t26 @t23)) % 0.93/1.16 (define @t233 () (forall @t28 @t232)) % 0.93/1.16 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.93/1.16 (define @t235 () (lambda @t9 true)) % 0.93/1.16 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.93/1.16 (define @t237 () (forall @t64 @t236)) % 0.93/1.16 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.93/1.16 (define @t239 () (=> @t32 @t35)) % 0.93/1.16 (define @t240 () (forall @t12 @t239)) % 0.93/1.16 (define @t241 () (= tptp.powersetI @t240)) % 0.93/1.16 (define @t242 () (_ @t49 @t33)) % 0.93/1.16 (define @t243 () (forall @t64 @t242)) % 0.93/1.16 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.93/1.16 (define @t245 () (@list @t2 @t1 @t4)) % 0.93/1.16 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.93/1.16 (define @t247 () (= tptp.powersetE @t246)) % 0.93/1.16 (define @t248 () (=> @t39 @t44)) % 0.93/1.16 (define @t249 () (@list @t2 @t4 @t1)) % 0.93/1.16 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.93/1.16 (define @t251 () (= tptp.setunionI @t250)) % 0.93/1.16 (define @t252 () (=> @t39 @t173)) % 0.93/1.16 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.93/1.16 (define @t254 () (=> @t253 @t173)) % 0.93/1.16 (define @t255 () (forall @t179 @t254)) % 0.93/1.16 (define @t256 () (=> @t44 @t255)) % 0.93/1.16 (define @t257 () (forall @t46 @t256)) % 0.93/1.16 (define @t258 () (= tptp.setunionE @t257)) % 0.93/1.16 (define @t259 () (_ tptp.powerset @t43)) % 0.93/1.16 (define @t260 () (_ @t5 @t259)) % 0.93/1.16 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.93/1.16 (define @t262 () (= tptp.subPowSU @t261)) % 0.93/1.16 (define @t263 () (= @t153 @t22)) % 0.93/1.16 (define @t264 () (forall @t70 @t263)) % 0.93/1.16 (define @t265 () (exists @t9 @t264)) % 0.93/1.16 (define @t266 () (=> @t148 @t265)) % 0.93/1.16 (define @t267 () (forall @t150 @t266)) % 0.93/1.16 (define @t268 () (= tptp.exuE2 @t267)) % 0.93/1.16 (define @t269 () (and @t7 true)) % 0.93/1.16 (define @t270 () (exists @t9 @t269)) % 0.93/1.16 (define @t271 () (=> @t205 @t270)) % 0.93/1.16 (define @t272 () (forall @t64 @t271)) % 0.93/1.16 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.93/1.16 (define @t274 () (_ tptp.setadjoin @t19)) % 0.93/1.16 (define @t275 () (_ @t274 tptp.emptyset)) % 0.93/1.16 (define @t276 () (_ @t5 @t275)) % 0.93/1.16 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.93/1.16 (define @t278 () (= tptp.uniqinunit @t277)) % 0.93/1.16 (define @t279 () (_ @t24 tptp.emptyset)) % 0.93/1.16 (define @t280 () (_ @t20 @t279)) % 0.93/1.16 (define @t281 () (not @t280)) % 0.93/1.16 (define @t282 () (not @t129)) % 0.93/1.16 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.93/1.16 (define @t284 () (= tptp.notinsingleton @t283)) % 0.93/1.16 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.93/1.16 (define @t286 () (= tptp.eqinunit @t285)) % 0.93/1.16 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.93/1.16 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.93/1.16 (define @t289 () (@var "Xz" $$unsorted)) % 0.93/1.16 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.93/1.16 (define @t291 () (_ @t24 @t275)) % 0.93/1.16 (define @t292 () (_ tptp.in @t289)) % 0.93/1.16 (define @t293 () (_ @t292 @t291)) % 0.93/1.16 (define @t294 () (=> @t293 @t290)) % 0.93/1.16 (define @t295 () (@list @t4 @t19 @t289)) % 0.93/1.16 (define @t296 () (forall @t295 @t294)) % 0.93/1.16 (define @t297 () (= tptp.upairsetE @t296)) % 0.93/1.16 (define @t298 () (_ @t5 @t291)) % 0.93/1.16 (define @t299 () (forall @t135 @t298)) % 0.93/1.16 (define @t300 () (= tptp.upairsetIL @t299)) % 0.93/1.16 (define @t301 () (_ @t20 @t291)) % 0.93/1.16 (define @t302 () (forall @t135 @t301)) % 0.93/1.16 (define @t303 () (= tptp.upairsetIR @t302)) % 0.93/1.16 (define @t304 () (_ @t155 @t145)) % 0.93/1.16 (define @t305 () (= @t304 tptp.emptyset)) % 0.93/1.16 (define @t306 () (and @t7 @t144)) % 0.93/1.16 (define @t307 () (exists @t9 @t306)) % 0.93/1.16 (define @t308 () (=> @t307 (=> @t305 false))) % 0.93/1.16 (define @t309 () (@list @t2 @t143)) % 0.93/1.16 (define @t310 () (forall @t309 @t308)) % 0.93/1.16 (define @t311 () (= tptp.emptyE1 @t310)) % 0.93/1.16 (define @t312 () (@list @t143 @t4)) % 0.93/1.16 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.93/1.16 (define @t314 () (= tptp.vacuousDall @t313)) % 0.93/1.16 (define @t315 () (not @t144)) % 0.93/1.16 (define @t316 () (and @t7 @t315)) % 0.93/1.16 (define @t317 () (exists @t9 @t316)) % 0.93/1.16 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.93/1.16 (define @t319 () (not @t318)) % 0.93/1.16 (define @t320 () (=> @t319 @t317)) % 0.93/1.16 (define @t321 () (forall @t309 @t320)) % 0.93/1.16 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.93/1.16 (define @t323 () (not @t307)) % 0.93/1.16 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.93/1.16 (define @t325 () (=> @t324 @t323)) % 0.93/1.16 (define @t326 () (forall @t309 @t325)) % 0.93/1.16 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.93/1.16 (define @t328 () (=> @t323 @t324)) % 0.93/1.16 (define @t329 () (forall @t309 @t328)) % 0.93/1.16 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.93/1.16 (define @t331 () (=> @t317 @t319)) % 0.93/1.16 (define @t332 () (forall @t309 @t331)) % 0.93/1.16 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.93/1.16 (define @t334 () (_ @t49 @t174)) % 0.93/1.16 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.93/1.16 (define @t336 () (= tptp.prop2setI @t335)) % 0.93/1.16 (define @t337 () (_ tptp.set2prop @t174)) % 0.93/1.16 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.93/1.16 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.93/1.16 (define @t340 () (=> @t169 @t148)) % 0.93/1.16 (define @t341 () (forall @t150 @t340)) % 0.93/1.16 (define @t342 () (= tptp.exuI1 @t341)) % 0.93/1.16 (define @t343 () (=> @t144 @t166)) % 0.93/1.16 (define @t344 () (forall @t135 @t343)) % 0.93/1.16 (define @t345 () (=> @t344 @t148)) % 0.93/1.16 (define @t346 () (=> @t186 @t345)) % 0.93/1.16 (define @t347 () (forall @t150 @t346)) % 0.93/1.16 (define @t348 () (= tptp.exuI3 @t347)) % 0.93/1.16 (define @t349 () (=> @t265 @t148)) % 0.93/1.16 (define @t350 () (forall @t150 @t349)) % 0.93/1.16 (define @t351 () (= tptp.exuI2 @t350)) % 0.93/1.16 (define @t352 () (_ @t20 @t1)) % 0.93/1.16 (define @t353 () (=> @t7 @t352)) % 0.93/1.16 (define @t354 () (forall @t135 (=> @t129 @t353))) % 0.93/1.16 (define @t355 () (=> @t3 @t354)) % 0.93/1.16 (define @t356 () (forall @t12 @t355)) % 0.93/1.16 (define @t357 () (= tptp.inCongP @t356)) % 0.93/1.16 (define @t358 () (= @t7 @t352)) % 0.93/1.16 (define @t359 () (forall @t135 (=> @t129 @t358))) % 0.93/1.16 (define @t360 () (=> @t3 @t359)) % 0.93/1.16 (define @t361 () (forall @t12 @t360)) % 0.93/1.16 (define @t362 () (= tptp.in__Cong @t361)) % 0.93/1.16 (define @t363 () (=> @t148 @t344)) % 0.93/1.16 (define @t364 () (forall @t150 @t363)) % 0.93/1.16 (define @t365 () (= tptp.exuE3u @t364)) % 0.93/1.16 (define @t366 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.93/1.16 (define @t367 () (_ @t366 @t4)) % 0.93/1.16 (define @t368 () (lambda @t9 @t367)) % 0.93/1.16 (define @t369 () (_ tptp.exu @t368)) % 0.93/1.16 (define @t370 () (= @t148 @t369)) % 0.93/1.16 (define @t371 () (_ @t366 @t19)) % 0.93/1.16 (define @t372 () (= @t144 @t371)) % 0.93/1.16 (define @t373 () (=> @t129 @t372)) % 0.93/1.16 (define @t374 () (forall @t135 @t373)) % 0.93/1.16 (define @t375 () (=> @t374 @t370)) % 0.93/1.16 (define @t376 () (@list @t143 @t366)) % 0.93/1.16 (define @t377 () (forall @t376 @t375)) % 0.93/1.16 (define @t378 () (= tptp.exu__Cong @t377)) % 0.93/1.16 (define @t379 () (= tptp.emptyset tptp.emptyset)) % 0.93/1.16 (define @t380 () (= tptp.emptyset__Cong @t379)) % 0.93/1.16 (define @t381 () (@var "Xu" $$unsorted)) % 0.93/1.16 (define @t382 () (_ @t274 @t381)) % 0.93/1.16 (define @t383 () (_ @t24 @t289)) % 0.93/1.16 (define @t384 () (= @t383 @t382)) % 0.93/1.16 (define @t385 () (= @t289 @t381)) % 0.93/1.16 (define @t386 () (@list @t289 @t381)) % 0.93/1.16 (define @t387 () (forall @t386 (=> @t385 @t384))) % 0.93/1.16 (define @t388 () (=> @t129 @t387)) % 0.93/1.16 (define @t389 () (forall @t135 @t388)) % 0.93/1.16 (define @t390 () (= tptp.setadjoin__Cong @t389)) % 0.93/1.16 (define @t391 () (_ tptp.powerset @t1)) % 0.93/1.16 (define @t392 () (= @t33 @t391)) % 0.93/1.16 (define @t393 () (forall @t12 (=> @t3 @t392))) % 0.93/1.16 (define @t394 () (= tptp.powerset__Cong @t393)) % 0.93/1.16 (define @t395 () (_ tptp.setunion @t1)) % 0.93/1.16 (define @t396 () (= @t43 @t395)) % 0.93/1.16 (define @t397 () (forall @t12 (=> @t3 @t396))) % 0.93/1.16 (define @t398 () (= tptp.setunion__Cong @t397)) % 0.93/1.16 (define @t399 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.93/1.16 (define @t400 () (= tptp.exuEu @t364)) % 0.93/1.16 (define @t401 () (_ tptp.descr @t368)) % 0.93/1.16 (define @t402 () (= @t146 @t401)) % 0.93/1.16 (define @t403 () (=> @t369 @t402)) % 0.93/1.16 (define @t404 () (=> @t148 @t403)) % 0.93/1.16 (define @t405 () (=> @t374 @t404)) % 0.93/1.16 (define @t406 () (forall @t376 @t405)) % 0.93/1.16 (define @t407 () (= tptp.descr__Cong @t406)) % 0.93/1.16 (define @t408 () (_ tptp.dsetconstr @t1)) % 0.93/1.16 (define @t409 () (_ @t408 @t368)) % 0.93/1.16 (define @t410 () (= @t304 @t409)) % 0.93/1.16 (define @t411 () (forall @t70 (=> @t352 @t373))) % 0.93/1.16 (define @t412 () (=> @t7 @t411)) % 0.93/1.16 (define @t413 () (forall @t9 @t412)) % 0.93/1.16 (define @t414 () (=> @t413 @t410)) % 0.93/1.16 (define @t415 () (forall @t376 @t414)) % 0.93/1.16 (define @t416 () (=> @t3 @t415)) % 0.93/1.16 (define @t417 () (forall @t12 @t416)) % 0.93/1.16 (define @t418 () (= tptp.dsetconstr__Cong @t417)) % 0.93/1.16 (define @t419 () (_ tptp.subset @t2)) % 0.93/1.16 (define @t420 () (_ @t419 @t1)) % 0.93/1.16 (define @t421 () (=> @t192 @t420)) % 0.93/1.16 (define @t422 () (forall @t12 @t421)) % 0.93/1.16 (define @t423 () (= tptp.subsetI1 @t422)) % 0.93/1.16 (define @t424 () (_ tptp.subset @t1)) % 0.93/1.16 (define @t425 () (_ @t424 @t2)) % 0.93/1.16 (define @t426 () (forall @t12 (=> @t3 @t425))) % 0.93/1.16 (define @t427 () (= tptp.eqimpsubset2 @t426)) % 0.93/1.16 (define @t428 () (forall @t12 (=> @t3 @t420))) % 0.93/1.16 (define @t429 () (= tptp.eqimpsubset1 @t428)) % 0.93/1.16 (define @t430 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.93/1.16 (define @t431 () (forall @t64 @t430)) % 0.93/1.16 (define @t432 () (= tptp.emptysetsubset @t431)) % 0.93/1.16 (define @t433 () (forall @t245 (=> @t420 @t191))) % 0.93/1.16 (define @t434 () (= tptp.subsetE @t433)) % 0.93/1.16 (define @t435 () (not @t6)) % 0.93/1.16 (define @t436 () (=> @t435 @t197)) % 0.93/1.16 (define @t437 () (forall @t245 (=> @t420 @t436))) % 0.93/1.16 (define @t438 () (= tptp.subsetE2 @t437)) % 0.93/1.16 (define @t439 () (not @t420)) % 0.93/1.16 (define @t440 () (=> @t435 @t439)) % 0.93/1.16 (define @t441 () (forall @t245 (=> @t7 @t440))) % 0.93/1.16 (define @t442 () (= tptp.notsubsetI @t441)) % 0.93/1.16 (define @t443 () (not @t3)) % 0.93/1.16 (define @t444 () (forall @t12 (=> @t439 @t443))) % 0.93/1.16 (define @t445 () (= tptp.notequalI1 @t444)) % 0.93/1.16 (define @t446 () (=> @t435 @t443)) % 0.93/1.16 (define @t447 () (forall @t245 (=> @t7 @t446))) % 0.93/1.16 (define @t448 () (= tptp.notequalI2 @t447)) % 0.93/1.16 (define @t449 () (_ @t419 @t2)) % 0.93/1.16 (define @t450 () (forall @t64 @t449)) % 0.93/1.16 (define @t451 () (= tptp.subsetRefl @t450)) % 0.93/1.16 (define @t452 () (_ @t419 @t104)) % 0.93/1.16 (define @t453 () (_ @t424 @t104)) % 0.93/1.16 (define @t454 () (=> @t453 @t452)) % 0.93/1.16 (define @t455 () (@list @t2 @t1 @t104)) % 0.93/1.16 (define @t456 () (forall @t455 (=> @t420 @t454))) % 0.93/1.16 (define @t457 () (= tptp.subsetTrans @t456)) % 0.93/1.16 (define @t458 () (_ @t419 @t25)) % 0.93/1.16 (define @t459 () (@list @t4 @t2)) % 0.93/1.16 (define @t460 () (forall @t459 @t458)) % 0.93/1.16 (define @t461 () (= tptp.setadjoinSub @t460)) % 0.93/1.16 (define @t462 () (_ @t24 @t1)) % 0.93/1.16 (define @t463 () (_ @t419 @t462)) % 0.93/1.16 (define @t464 () (forall @t249 (=> @t420 @t463))) % 0.93/1.16 (define @t465 () (= tptp.setadjoinSub2 @t464)) % 0.93/1.16 (define @t466 () (_ tptp.in @t2)) % 0.93/1.16 (define @t467 () (_ @t466 @t391)) % 0.93/1.16 (define @t468 () (forall @t12 (=> @t420 @t467))) % 0.93/1.16 (define @t469 () (= tptp.subset2powerset @t468)) % 0.93/1.16 (define @t470 () (=> @t425 @t3)) % 0.93/1.16 (define @t471 () (forall @t12 (=> @t420 @t470))) % 0.93/1.16 (define @t472 () (= tptp.setextsub @t471)) % 0.93/1.16 (define @t473 () (_ @t419 tptp.emptyset)) % 0.93/1.16 (define @t474 () (forall @t64 (=> @t473 @t196))) % 0.93/1.16 (define @t475 () (= tptp.subsetemptysetimpeq @t474)) % 0.93/1.16 (define @t476 () (forall @t12 (=> @t425 @t35))) % 0.93/1.16 (define @t477 () (= tptp.powersetI1 @t476)) % 0.93/1.16 (define @t478 () (forall @t12 (=> @t35 @t425))) % 0.93/1.16 (define @t479 () (= tptp.powersetE1 @t478)) % 0.93/1.16 (define @t480 () (_ @t466 @t33)) % 0.93/1.16 (define @t481 () (forall @t64 @t480)) % 0.93/1.16 (define @t482 () (= tptp.inPowerset @t481)) % 0.93/1.16 (define @t483 () (_ (_ tptp.subset @t33) @t391)) % 0.93/1.16 (define @t484 () (forall @t12 (=> @t420 @t483))) % 0.93/1.16 (define @t485 () (= tptp.powersetsubset @t484)) % 0.93/1.16 (define @t486 () (_ (_ tptp.in @t304) @t33)) % 0.93/1.16 (define @t487 () (forall @t309 @t486)) % 0.93/1.16 (define @t488 () (= tptp.sepInPowerset @t487)) % 0.93/1.16 (define @t489 () (_ (_ tptp.subset @t304) @t2)) % 0.93/1.16 (define @t490 () (forall @t309 @t489)) % 0.93/1.16 (define @t491 () (= tptp.sepSubset @t490)) % 0.93/1.16 (define @t492 () (_ (_ tptp.binunion @t2) @t1)) % 0.93/1.16 (define @t493 () (_ @t5 @t492)) % 0.93/1.16 (define @t494 () (forall @t245 (=> @t7 @t493))) % 0.93/1.16 (define @t495 () (= tptp.binunionIL @t494)) % 0.93/1.16 (define @t496 () (forall @t245 (=> @t6 @t493))) % 0.93/1.16 (define @t497 () (= tptp.binunionIR @t496)) % 0.93/1.16 (define @t498 () (=> @t6 @t173)) % 0.93/1.16 (define @t499 () (=> @t498 @t173)) % 0.93/1.16 (define @t500 () (=> @t7 @t173)) % 0.93/1.16 (define @t501 () (=> @t500 @t499)) % 0.93/1.16 (define @t502 () (@list @t2 @t1 @t4 @t173)) % 0.93/1.16 (define @t503 () (forall @t502 (=> @t493 @t501))) % 0.93/1.16 (define @t504 () (= tptp.binunionEcases @t503)) % 0.93/1.16 (define @t505 () (or @t7 @t6)) % 0.93/1.16 (define @t506 () (forall @t245 (=> @t493 @t505))) % 0.93/1.16 (define @t507 () (= tptp.binunionE @t506)) % 0.93/1.16 (define @t508 () (_ @t419 @t492)) % 0.93/1.16 (define @t509 () (forall @t12 @t508)) % 0.93/1.16 (define @t510 () (= tptp.binunionLsub @t509)) % 0.93/1.16 (define @t511 () (_ @t424 @t492)) % 0.93/1.16 (define @t512 () (forall @t12 @t511)) % 0.93/1.16 (define @t513 () (= tptp.binunionRsub @t512)) % 0.93/1.16 (define @t514 () (_ tptp.binintersect @t2)) % 0.93/1.16 (define @t515 () (_ @t514 @t1)) % 0.93/1.16 (define @t516 () (_ @t5 @t515)) % 0.93/1.16 (define @t517 () (=> @t6 @t516)) % 0.93/1.16 (define @t518 () (forall @t245 (=> @t7 @t517))) % 0.93/1.16 (define @t519 () (= tptp.binintersectI @t518)) % 0.93/1.16 (define @t520 () (_ tptp.subset @t104)) % 0.93/1.16 (define @t521 () (_ @t520 @t515)) % 0.93/1.16 (define @t522 () (_ @t520 @t1)) % 0.93/1.16 (define @t523 () (=> @t522 @t521)) % 0.93/1.16 (define @t524 () (_ @t520 @t2)) % 0.93/1.16 (define @t525 () (forall @t455 (=> @t524 @t523))) % 0.93/1.16 (define @t526 () (= tptp.binintersectSubset5 @t525)) % 0.93/1.16 (define @t527 () (forall @t245 (=> @t516 @t7))) % 0.93/1.16 (define @t528 () (= tptp.binintersectEL @t527)) % 0.93/1.16 (define @t529 () (_ tptp.subset @t515)) % 0.93/1.16 (define @t530 () (_ @t529 @t2)) % 0.93/1.16 (define @t531 () (forall @t12 @t530)) % 0.93/1.16 (define @t532 () (= tptp.binintersectLsub @t531)) % 0.93/1.16 (define @t533 () (= @t515 @t2)) % 0.93/1.16 (define @t534 () (=> @t420 @t533)) % 0.93/1.16 (define @t535 () (forall @t12 @t534)) % 0.93/1.16 (define @t536 () (= tptp.binintersectSubset2 @t535)) % 0.93/1.16 (define @t537 () (= @t515 @t1)) % 0.93/1.16 (define @t538 () (=> @t537 @t425)) % 0.93/1.16 (define @t539 () (forall @t12 @t538)) % 0.93/1.16 (define @t540 () (= tptp.binintersectSubset3 @t539)) % 0.93/1.16 (define @t541 () (forall @t245 (=> @t516 @t6))) % 0.93/1.16 (define @t542 () (= tptp.binintersectER @t541)) % 0.93/1.16 (define @t543 () (and @t7 @t6)) % 0.93/1.16 (define @t544 () (exists @t9 @t543)) % 0.93/1.16 (define @t545 () (not @t544)) % 0.93/1.16 (define @t546 () (=> @t545 (= @t515 tptp.emptyset))) % 0.93/1.16 (define @t547 () (forall @t12 @t546)) % 0.93/1.16 (define @t548 () (= tptp.disjointsetsI1 @t547)) % 0.93/1.16 (define @t549 () (_ @t529 @t1)) % 0.93/1.16 (define @t550 () (forall @t12 @t549)) % 0.93/1.16 (define @t551 () (= tptp.binintersectRsub @t550)) % 0.93/1.16 (define @t552 () (=> @t425 @t537)) % 0.93/1.16 (define @t553 () (forall @t12 @t552)) % 0.93/1.16 (define @t554 () (= tptp.binintersectSubset4 @t553)) % 0.93/1.16 (define @t555 () (=> @t533 @t420)) % 0.93/1.16 (define @t556 () (forall @t12 @t555)) % 0.93/1.16 (define @t557 () (= tptp.binintersectSubset1 @t556)) % 0.93/1.16 (define @t558 () (_ @t514 @t104)) % 0.93/1.16 (define @t559 () (_ (_ tptp.binunion @t515) @t558)) % 0.93/1.16 (define @t560 () (_ (_ tptp.binunion @t1) @t104)) % 0.93/1.16 (define @t561 () (_ @t514 @t560)) % 0.93/1.16 (define @t562 () (= @t561 @t559)) % 0.93/1.16 (define @t563 () (forall @t455 @t562)) % 0.93/1.16 (define @t564 () (= tptp.bs114d @t563)) % 0.93/1.16 (define @t565 () (_ (_ tptp.setminus @t2) @t1)) % 0.93/1.16 (define @t566 () (_ @t5 @t565)) % 0.93/1.16 (define @t567 () (=> @t435 @t566)) % 0.93/1.16 (define @t568 () (forall @t245 (=> @t7 @t567))) % 0.93/1.16 (define @t569 () (= tptp.setminusI @t568)) % 0.93/1.16 (define @t570 () (forall @t245 (=> @t566 @t7))) % 0.93/1.16 (define @t571 () (= tptp.setminusEL @t570)) % 0.93/1.16 (define @t572 () (forall @t245 (=> @t566 @t435))) % 0.93/1.16 (define @t573 () (= tptp.setminusER @t572)) % 0.93/1.16 (define @t574 () (= @t565 tptp.emptyset)) % 0.93/1.16 (define @t575 () (=> @t420 @t574)) % 0.93/1.16 (define @t576 () (forall @t12 @t575)) % 0.93/1.16 (define @t577 () (= tptp.setminusSubset2 @t576)) % 0.93/1.16 (define @t578 () (not @t566)) % 0.93/1.16 (define @t579 () (forall @t245 (=> @t578 @t191))) % 0.93/1.16 (define @t580 () (= tptp.setminusERneg @t579)) % 0.93/1.16 (define @t581 () (forall @t245 (=> @t578 @t436))) % 0.93/1.16 (define @t582 () (= tptp.setminusELneg @t581)) % 0.93/1.16 (define @t583 () (forall @t245 (=> @t197 @t578))) % 0.93/1.16 (define @t584 () (= tptp.setminusILneg @t583)) % 0.93/1.16 (define @t585 () (forall @t245 (=> @t6 @t578))) % 0.93/1.16 (define @t586 () (= tptp.setminusIRneg @t585)) % 0.93/1.16 (define @t587 () (_ (_ tptp.subset @t565) @t2)) % 0.93/1.16 (define @t588 () (forall @t12 @t587)) % 0.93/1.16 (define @t589 () (= tptp.setminusLsub @t588)) % 0.93/1.16 (define @t590 () (=> @t574 @t420)) % 0.93/1.16 (define @t591 () (forall @t12 @t590)) % 0.93/1.16 (define @t592 () (= tptp.setminusSubset1 @t591)) % 0.93/1.16 (define @t593 () (=> @t197 @t498)) % 0.93/1.16 (define @t594 () (=> @t593 @t173)) % 0.93/1.16 (define @t595 () (=> @t435 @t173)) % 0.93/1.16 (define @t596 () (=> @t7 @t595)) % 0.93/1.16 (define @t597 () (forall @t179 (=> @t596 @t594))) % 0.93/1.16 (define @t598 () (_ (_ tptp.symdiff @t2) @t1)) % 0.93/1.16 (define @t599 () (_ @t5 @t598)) % 0.93/1.16 (define @t600 () (=> @t599 @t597)) % 0.93/1.16 (define @t601 () (forall @t245 @t600)) % 0.93/1.16 (define @t602 () (= tptp.symdiffE @t601)) % 0.93/1.16 (define @t603 () (=> @t435 @t599)) % 0.93/1.16 (define @t604 () (forall @t245 (=> @t7 @t603))) % 0.93/1.16 (define @t605 () (= tptp.symdiffI1 @t604)) % 0.93/1.16 (define @t606 () (=> @t6 @t599)) % 0.93/1.16 (define @t607 () (forall @t245 (=> @t197 @t606))) % 0.93/1.16 (define @t608 () (= tptp.symdiffI2 @t607)) % 0.93/1.16 (define @t609 () (not @t599)) % 0.93/1.16 (define @t610 () (=> @t6 @t609)) % 0.93/1.16 (define @t611 () (forall @t245 (=> @t7 @t610))) % 0.93/1.16 (define @t612 () (= tptp.symdiffIneg1 @t611)) % 0.93/1.16 (define @t613 () (=> @t435 @t609)) % 0.93/1.16 (define @t614 () (forall @t245 (=> @t197 @t613))) % 0.93/1.16 (define @t615 () (= tptp.symdiffIneg2 @t614)) % 0.93/1.16 (define @t616 () (_ (_ tptp.setadjoin @t291) tptp.emptyset)) % 0.93/1.16 (define @t617 () (_ tptp.setadjoin @t279)) % 0.93/1.16 (define @t618 () (_ @t617 @t616)) % 0.93/1.16 (define @t619 () (_ tptp.setunion @t618)) % 0.93/1.16 (define @t620 () (_ @t5 @t619)) % 0.93/1.16 (define @t621 () (forall @t135 @t620)) % 0.93/1.16 (define @t622 () (= tptp.setukpairIL @t621)) % 0.93/1.16 (define @t623 () (_ @t20 @t619)) % 0.93/1.16 (define @t624 () (forall @t135 @t623)) % 0.93/1.16 (define @t625 () (= tptp.setukpairIR @t624)) % 0.93/1.16 (define @t626 () (_ tptp.iskpair @t618)) % 0.93/1.16 (define @t627 () (forall @t135 @t626)) % 0.93/1.16 (define @t628 () (= tptp.kpairiskpair @t627)) % 0.93/1.16 (define @t629 () (_ (_ tptp.kpair @t4) @t19)) % 0.93/1.16 (define @t630 () (_ tptp.iskpair @t629)) % 0.93/1.16 (define @t631 () (forall @t135 @t630)) % 0.93/1.16 (define @t632 () (= tptp.kpairp @t631)) % 0.93/1.16 (define @t633 () (_ (_ tptp.subset @t279) @t2)) % 0.93/1.16 (define @t634 () (forall @t46 (=> @t7 @t633))) % 0.93/1.16 (define @t635 () (= tptp.singletonsubset @t634)) % 0.93/1.16 (define @t636 () (_ tptp.in @t279)) % 0.93/1.16 (define @t637 () (_ @t636 @t33)) % 0.93/1.16 (define @t638 () (forall @t46 (=> @t7 @t637))) % 0.93/1.16 (define @t639 () (= tptp.singletoninpowerset @t638)) % 0.93/1.16 (define @t640 () (_ tptp.powerset @t492)) % 0.93/1.16 (define @t641 () (_ @t636 @t640)) % 0.93/1.16 (define @t642 () (forall @t245 (=> @t7 @t641))) % 0.93/1.16 (define @t643 () (= tptp.singletoninpowunion @t642)) % 0.93/1.16 (define @t644 () (_ (_ tptp.subset @t291) @t492)) % 0.93/1.16 (define @t645 () (forall @t70 (=> @t352 @t644))) % 0.93/1.16 (define @t646 () (=> @t7 @t645)) % 0.93/1.16 (define @t647 () (forall @t245 @t646)) % 0.93/1.16 (define @t648 () (= tptp.upairsubunion @t647)) % 0.93/1.16 (define @t649 () (_ (_ tptp.in @t291) @t640)) % 0.93/1.16 (define @t650 () (forall @t70 (=> @t352 @t649))) % 0.93/1.16 (define @t651 () (=> @t7 @t650)) % 0.93/1.16 (define @t652 () (forall @t245 @t651)) % 0.93/1.16 (define @t653 () (= tptp.upairinpowunion @t652)) % 0.93/1.16 (define @t654 () (_ (_ tptp.subset @t618) @t640)) % 0.93/1.16 (define @t655 () (forall @t70 (=> @t352 @t654))) % 0.93/1.16 (define @t656 () (=> @t7 @t655)) % 0.93/1.16 (define @t657 () (forall @t245 @t656)) % 0.93/1.16 (define @t658 () (= tptp.ubforcartprodlem1 @t657)) % 0.93/1.16 (define @t659 () (_ tptp.powerset @t640)) % 0.93/1.16 (define @t660 () (_ (_ tptp.in @t618) @t659)) % 0.93/1.16 (define @t661 () (forall @t70 (=> @t352 @t660))) % 0.93/1.16 (define @t662 () (=> @t7 @t661)) % 0.93/1.16 (define @t663 () (forall @t245 @t662)) % 0.93/1.16 (define @t664 () (= tptp.ubforcartprodlem2 @t663)) % 0.93/1.16 (define @t665 () (_ tptp.in @t629)) % 0.93/1.16 (define @t666 () (_ @t665 @t659)) % 0.93/1.16 (define @t667 () (forall @t70 (=> @t352 @t666))) % 0.93/1.16 (define @t668 () (=> @t7 @t667)) % 0.93/1.16 (define @t669 () (forall @t245 @t668)) % 0.93/1.16 (define @t670 () (= tptp.ubforcartprodlem3 @t669)) % 0.93/1.16 (define @t671 () (_ (_ tptp.cartprod @t2) @t1)) % 0.93/1.16 (define @t672 () (_ @t665 @t671)) % 0.93/1.16 (define @t673 () (forall @t70 (=> @t352 @t672))) % 0.93/1.16 (define @t674 () (=> @t7 @t673)) % 0.93/1.16 (define @t675 () (forall @t245 @t674)) % 0.93/1.16 (define @t676 () (= tptp.cartprodpairin @t675)) % 0.93/1.16 (define @t677 () (= @t381 @t629)) % 0.93/1.16 (define @t678 () (and @t352 @t677)) % 0.93/1.16 (define @t679 () (exists @t70 @t678)) % 0.93/1.16 (define @t680 () (and @t7 @t679)) % 0.93/1.16 (define @t681 () (exists @t9 @t680)) % 0.93/1.16 (define @t682 () (_ tptp.in @t381)) % 0.93/1.16 (define @t683 () (_ @t682 @t671)) % 0.93/1.16 (define @t684 () (=> @t683 @t681)) % 0.93/1.16 (define @t685 () (@list @t2 @t1 @t381)) % 0.93/1.16 (define @t686 () (forall @t685 @t684)) % 0.93/1.16 (define @t687 () (= tptp.cartprodmempair1 @t686)) % 0.93/1.16 (define @t688 () (_ tptp.iskpair @t381)) % 0.93/1.16 (define @t689 () (forall @t685 (=> @t683 @t688))) % 0.93/1.16 (define @t690 () (= tptp.cartprodmempair @t689)) % 0.93/1.16 (define @t691 () (@var "X" $$unsorted)) % 0.93/1.16 (define @t692 () (_ @t5 @t691)) % 0.93/1.16 (define @t693 () (_ (_ tptp.in @t691) @t2)) % 0.93/1.16 (define @t694 () (and @t693 @t692)) % 0.93/1.16 (define @t695 () (@list @t691)) % 0.93/1.16 (define @t696 () (exists @t695 @t694)) % 0.93/1.16 (define @t697 () (=> @t44 @t696)) % 0.93/1.16 (define @t698 () (forall @t46 @t697)) % 0.93/1.16 (define @t699 () (= tptp.setunionE2 @t698)) % 0.93/1.16 (define @t700 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 0.93/1.16 (define @t701 () (_ tptp.setunion @t700)) % 0.93/1.16 (define @t702 () (_ (_ tptp.subset @t701) @t2)) % 0.93/1.16 (define @t703 () (forall @t64 @t702)) % 0.93/1.16 (define @t704 () (= tptp.setunionsingleton1 @t703)) % 0.93/1.16 (define @t705 () (_ @t419 @t701)) % 0.93/1.16 (define @t706 () (forall @t64 @t705)) % 0.93/1.16 (define @t707 () (= tptp.setunionsingleton2 @t706)) % 0.93/1.16 (define @t708 () (_ tptp.setunion @t279)) % 0.93/1.16 (define @t709 () (forall @t9 (= @t708 @t4))) % 0.93/1.16 (define @t710 () (= tptp.setunionsingleton @t709)) % 0.93/1.16 (define @t711 () (_ tptp.singleton @t304)) % 0.93/1.16 (define @t712 () (=> @t307 @t711)) % 0.93/1.16 (define @t713 () (forall @t70 (=> @t21 @t343))) % 0.93/1.16 (define @t714 () (=> @t7 @t713)) % 0.93/1.16 (define @t715 () (forall @t9 @t714)) % 0.93/1.16 (define @t716 () (=> @t715 @t712)) % 0.93/1.16 (define @t717 () (forall @t309 @t716)) % 0.93/1.16 (define @t718 () (= tptp.singletonprop @t717)) % 0.93/1.16 (define @t719 () (_ tptp.ex1 @t2)) % 0.93/1.16 (define @t720 () (_ @t719 @t145)) % 0.93/1.16 (define @t721 () (=> @t720 @t307)) % 0.93/1.16 (define @t722 () (forall @t309 @t721)) % 0.93/1.16 (define @t723 () (= tptp.ex1E1 @t722)) % 0.93/1.16 (define @t724 () (=> @t153 @t22)) % 0.93/1.16 (define @t725 () (=> @t21 @t724)) % 0.93/1.16 (define @t726 () (forall @t70 @t725)) % 0.93/1.16 (define @t727 () (=> @t726 (_ @t719 @t154))) % 0.93/1.16 (define @t728 () (=> @t144 @t727)) % 0.93/1.16 (define @t729 () (=> @t7 @t728)) % 0.93/1.16 (define @t730 () (forall @t159 @t729)) % 0.93/1.16 (define @t731 () (= tptp.ex1I @t730)) % 0.93/1.16 (define @t732 () (=> @t307 @t720)) % 0.93/1.16 (define @t733 () (=> @t715 @t732)) % 0.93/1.16 (define @t734 () (forall @t309 @t733)) % 0.93/1.16 (define @t735 () (= tptp.ex1I2 @t734)) % 0.93/1.16 (define @t736 () (=> (= @t279 @t275) @t129)) % 0.93/1.16 (define @t737 () (forall @t135 @t736)) % 0.93/1.16 (define @t738 () (= tptp.singletonsuniq @t737)) % 0.93/1.16 (define @t739 () (= @t4 @t289)) % 0.93/1.16 (define @t740 () (_ tptp.setadjoin @t289)) % 0.93/1.16 (define @t741 () (_ @t740 tptp.emptyset)) % 0.93/1.16 (define @t742 () (_ (_ tptp.in @t741) @t618)) % 0.93/1.16 (define @t743 () (forall @t295 (=> @t742 @t739))) % 0.93/1.16 (define @t744 () (= tptp.setukpairinjL1 @t743)) % 0.93/1.16 (define @t745 () (lambda @t9 (_ @t636 @t381))) % 0.93/1.16 (define @t746 () (_ tptp.setunion @t381)) % 0.93/1.16 (define @t747 () (_ tptp.dsetconstr @t746)) % 0.93/1.16 (define @t748 () (_ @t747 @t745)) % 0.93/1.16 (define @t749 () (=> @t688 (_ tptp.singleton @t748))) % 0.93/1.16 (define @t750 () (@list @t381)) % 0.93/1.16 (define @t751 () (forall @t750 @t749)) % 0.93/1.16 (define @t752 () (= tptp.kfstsingleton @t751)) % 0.93/1.16 (define @t753 () (_ tptp.setunion @t691)) % 0.93/1.16 (define @t754 () (_ (_ tptp.in @t753) @t691)) % 0.93/1.16 (define @t755 () (=> (_ tptp.singleton @t691) @t754)) % 0.93/1.16 (define @t756 () (forall @t695 @t755)) % 0.93/1.16 (define @t757 () (= tptp.theprop @t756)) % 0.93/1.16 (define @t758 () (_ tptp.kfst @t629)) % 0.93/1.16 (define @t759 () (= @t758 @t4)) % 0.93/1.16 (define @t760 () (forall @t135 @t759)) % 0.93/1.16 (define @t761 () (= tptp.kfstpairEq @t760)) % 0.93/1.16 (define @t762 () (_ tptp.kfst @t381)) % 0.93/1.16 (define @t763 () (_ (_ tptp.in @t762) @t2)) % 0.93/1.16 (define @t764 () (forall @t685 (=> @t683 @t763))) % 0.93/1.16 (define @t765 () (= tptp.cartprodfstin @t764)) % 0.93/1.16 (define @t766 () (_ (_ tptp.setadjoin @t381) tptp.emptyset)) % 0.93/1.16 (define @t767 () (_ @t740 @t766)) % 0.93/1.16 (define @t768 () (_ (_ tptp.setadjoin @t767) tptp.emptyset)) % 0.93/1.16 (define @t769 () (_ (_ tptp.setadjoin @t741) @t768)) % 0.93/1.16 (define @t770 () (= @t618 @t769)) % 0.93/1.16 (define @t771 () (@list @t4 @t19 @t289 @t381)) % 0.93/1.16 (define @t772 () (forall @t771 (=> @t770 @t739))) % 0.93/1.16 (define @t773 () (= tptp.setukpairinjL2 @t772)) % 0.93/1.16 (define @t774 () (_ (_ tptp.kpair @t289) @t381)) % 0.93/1.16 (define @t775 () (= @t629 @t774)) % 0.93/1.16 (define @t776 () (forall @t771 (=> @t775 @t739))) % 0.93/1.16 (define @t777 () (= tptp.setukpairinjL @t776)) % 0.93/1.16 (define @t778 () (=> @t129 (= @t291 @t279))) % 0.93/1.16 (define @t779 () (forall @t135 @t778)) % 0.93/1.16 (define @t780 () (= tptp.setukpairinjR11 @t779)) % 0.93/1.16 (define @t781 () (_ @t617 tptp.emptyset)) % 0.93/1.16 (define @t782 () (= @t618 @t781)) % 0.93/1.16 (define @t783 () (forall @t135 (=> @t129 @t782))) % 0.93/1.16 (define @t784 () (= tptp.setukpairinjR12 @t783)) % 0.93/1.16 (define @t785 () (= @t19 @t381)) % 0.93/1.16 (define @t786 () (=> @t385 @t785)) % 0.93/1.16 (define @t787 () (forall @t771 (=> @t770 @t786))) % 0.93/1.16 (define @t788 () (= tptp.setukpairinjR1 @t787)) % 0.93/1.16 (define @t789 () (= @t291 @t741)) % 0.93/1.16 (define @t790 () (forall @t295 (=> @t789 @t129))) % 0.93/1.16 (define @t791 () (= tptp.upairequniteq @t790)) % 0.93/1.16 (define @t792 () (forall @t771 (=> @t770 @t785))) % 0.93/1.16 (define @t793 () (= tptp.setukpairinjR2 @t792)) % 0.93/1.16 (define @t794 () (forall @t771 (=> @t775 @t785))) % 0.93/1.16 (define @t795 () (= tptp.setukpairinjR @t794)) % 0.93/1.16 (define @t796 () (_ tptp.kpair @t762)) % 0.93/1.16 (define @t797 () (lambda @t9 (= @t381 (_ @t796 @t4)))) % 0.93/1.16 (define @t798 () (_ @t747 @t797)) % 0.93/1.16 (define @t799 () (=> @t688 (_ tptp.singleton @t798))) % 0.93/1.16 (define @t800 () (forall @t750 @t799)) % 0.93/1.16 (define @t801 () (= tptp.ksndsingleton @t800)) % 0.93/1.16 (define @t802 () (_ tptp.ksnd @t629)) % 0.93/1.16 (define @t803 () (= @t802 @t19)) % 0.93/1.16 (define @t804 () (forall @t135 @t803)) % 0.93/1.16 (define @t805 () (= tptp.ksndpairEq @t804)) % 0.93/1.16 (define @t806 () (_ tptp.ksnd @t381)) % 0.93/1.16 (define @t807 () (_ @t796 @t806)) % 0.93/1.16 (define @t808 () (= @t807 @t381)) % 0.93/1.16 (define @t809 () (=> @t688 @t808)) % 0.93/1.16 (define @t810 () (forall @t750 @t809)) % 0.93/1.16 (define @t811 () (= tptp.kpairsurjEq @t810)) % 0.93/1.16 (define @t812 () (_ (_ tptp.in @t806) @t1)) % 0.93/1.16 (define @t813 () (forall @t685 (=> @t683 @t812))) % 0.93/1.16 (define @t814 () (= tptp.cartprodsndin @t813)) % 0.93/1.16 (define @t815 () (@list @t2 @t1 @t4 @t19)) % 0.93/1.16 (define @t816 () (forall @t815 (=> @t672 @t7))) % 0.93/1.16 (define @t817 () (= tptp.cartprodpairmemEL @t816)) % 0.93/1.16 (define @t818 () (forall @t815 (=> @t672 @t352))) % 0.93/1.16 (define @t819 () (= tptp.cartprodpairmemER @t818)) % 0.93/1.16 (define @t820 () (=> @t352 (= @t629 @t629))) % 0.93/1.16 (define @t821 () (forall @t70 @t820)) % 0.93/1.16 (define @t822 () (=> @t7 @t821)) % 0.93/1.16 (define @t823 () (forall @t245 @t822)) % 0.93/1.16 (define @t824 () (= tptp.cartprodmempaircEq @t823)) % 0.93/1.16 (define @t825 () (=> @t352 @t759)) % 0.93/1.16 (define @t826 () (forall @t70 @t825)) % 0.93/1.16 (define @t827 () (=> @t7 @t826)) % 0.93/1.16 (define @t828 () (forall @t245 @t827)) % 0.93/1.16 (define @t829 () (= tptp.cartprodfstpairEq @t828)) % 0.93/1.16 (define @t830 () (=> @t352 @t803)) % 0.93/1.16 (define @t831 () (forall @t70 @t830)) % 0.93/1.16 (define @t832 () (=> @t7 @t831)) % 0.93/1.16 (define @t833 () (forall @t245 @t832)) % 0.93/1.16 (define @t834 () (= tptp.cartprodsndpairEq @t833)) % 0.93/1.16 (define @t835 () (=> @t683 @t808)) % 0.93/1.16 (define @t836 () (forall @t685 @t835)) % 0.93/1.16 (define @t837 () (= tptp.cartprodpairsurjEq @t836)) % 0.93/1.16 (define @t838 () (_ (_ @t67 @t289) @t381)) % 0.93/1.16 (define @t839 () (lambda @t386 @t838)) % 0.93/1.16 (define @t840 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 0.93/1.16 (define @t841 () (_ @t840 @t839)) % 0.93/1.16 (define @t842 () (_ @t665 @t841)) % 0.93/1.16 (define @t843 () (=> @t76 @t842)) % 0.93/1.16 (define @t844 () (forall @t70 (=> @t352 @t843))) % 0.93/1.16 (define @t845 () (=> @t7 @t844)) % 0.93/1.16 (define @t846 () (@list @t2 @t1 @t67 @t4)) % 0.93/1.16 (define @t847 () (forall @t846 @t845)) % 0.93/1.16 (define @t848 () (= tptp.dpsetconstrI @t847)) % 0.93/1.16 (define @t849 () (lambda @t135 @t76)) % 0.93/1.16 (define @t850 () (_ @t840 @t849)) % 0.93/1.16 (define @t851 () (_ (_ tptp.subset @t850) @t671)) % 0.93/1.16 (define @t852 () (@list @t2 @t1 @t67)) % 0.93/1.16 (define @t853 () (forall @t852 @t851)) % 0.93/1.16 (define @t854 () (= tptp.dpsetconstrSub @t853)) % 0.93/1.16 (define @t855 () (_ (_ tptp.breln @t2) @t1)) % 0.93/1.16 (define @t856 () (forall @t852 (_ @t855 @t850))) % 0.93/1.16 (define @t857 () (= tptp.setOfPairsIsBReln @t856)) % 0.93/1.16 (define @t858 () (=> @t842 @t76)) % 0.93/1.16 (define @t859 () (forall @t70 (=> @t352 @t858))) % 0.93/1.16 (define @t860 () (=> @t7 @t859)) % 0.93/1.16 (define @t861 () (forall @t846 @t860)) % 0.93/1.16 (define @t862 () (= tptp.dpsetconstrERa @t861)) % 0.93/1.16 (define @t863 () (@list @t2 @t1 @t67 @t4 @t19)) % 0.93/1.16 (define @t864 () (forall @t863 (=> @t842 @t7))) % 0.93/1.16 (define @t865 () (= tptp.dpsetconstrEL1 @t864)) % 0.93/1.16 (define @t866 () (forall @t863 (=> @t842 @t352))) % 0.93/1.16 (define @t867 () (= tptp.dpsetconstrEL2 @t866)) % 0.93/1.16 (define @t868 () (forall @t863 @t858)) % 0.93/1.16 (define @t869 () (= tptp.dpsetconstrER @t868)) % 0.93/1.16 (define @t870 () (@var "Xf" $$unsorted)) % 0.93/1.16 (define @t871 () (_ @t665 @t870)) % 0.93/1.16 (define @t872 () (lambda @t70 @t871)) % 0.93/1.16 (define @t873 () (_ @t408 @t872)) % 0.93/1.16 (define @t874 () (=> @t7 (_ tptp.singleton @t873))) % 0.93/1.16 (define @t875 () (forall @t9 @t874)) % 0.93/1.16 (define @t876 () (_ (_ (_ tptp.func @t2) @t1) @t870)) % 0.93/1.16 (define @t877 () (=> @t876 @t875)) % 0.93/1.16 (define @t878 () (@list @t2 @t1 @t870)) % 0.93/1.16 (define @t879 () (forall @t878 @t877)) % 0.93/1.16 (define @t880 () (=> tptp.dpsetconstrER @t879)) % 0.93/1.16 (define @t881 () (=> tptp.dpsetconstrEL2 @t880)) % 0.93/1.16 (define @t882 () (=> tptp.dpsetconstrEL1 @t881)) % 0.93/1.16 (define @t883 () (=> tptp.dpsetconstrERa @t882)) % 0.93/1.16 (define @t884 () (=> tptp.setOfPairsIsBReln @t883)) % 0.93/1.16 (define @t885 () (=> tptp.dpsetconstrSub @t884)) % 0.93/1.16 (define @t886 () (=> tptp.dpsetconstrI @t885)) % 0.93/1.16 (define @t887 () (=> tptp.cartprodpairsurjEq @t886)) % 0.93/1.16 (define @t888 () (=> tptp.cartprodsndpairEq @t887)) % 0.93/1.16 (define @t889 () (=> tptp.cartprodfstpairEq @t888)) % 0.93/1.16 (define @t890 () (=> tptp.cartprodmempaircEq @t889)) % 0.93/1.16 (define @t891 () (=> tptp.cartprodpairmemER @t890)) % 0.93/1.16 (define @t892 () (=> tptp.cartprodpairmemEL @t891)) % 0.93/1.16 (define @t893 () (=> tptp.cartprodsndin @t892)) % 0.93/1.16 (define @t894 () (=> tptp.kpairsurjEq @t893)) % 0.93/1.16 (define @t895 () (=> tptp.ksndpairEq @t894)) % 0.93/1.16 (define @t896 () (=> tptp.ksndsingleton @t895)) % 0.93/1.16 (define @t897 () (=> tptp.setukpairinjR @t896)) % 0.93/1.16 (define @t898 () (=> tptp.setukpairinjR2 @t897)) % 0.93/1.16 (define @t899 () (=> tptp.upairequniteq @t898)) % 0.93/1.16 (define @t900 () (=> tptp.setukpairinjR1 @t899)) % 0.93/1.16 (define @t901 () (=> tptp.setukpairinjR12 @t900)) % 0.93/1.16 (define @t902 () (=> tptp.setukpairinjR11 @t901)) % 0.93/1.16 (define @t903 () (=> tptp.setukpairinjL @t902)) % 0.93/1.16 (define @t904 () (=> tptp.setukpairinjL2 @t903)) % 0.93/1.16 (define @t905 () (=> tptp.cartprodfstin @t904)) % 0.93/1.16 (define @t906 () (=> tptp.kfstpairEq @t905)) % 0.93/1.16 (define @t907 () (=> tptp.theprop @t906)) % 0.93/1.16 (define @t908 () (=> tptp.kfstsingleton @t907)) % 0.93/1.16 (define @t909 () (=> tptp.setukpairinjL1 @t908)) % 0.93/1.16 (define @t910 () (=> tptp.singletonsuniq @t909)) % 0.93/1.16 (define @t911 () (=> tptp.ex1I2 @t910)) % 0.93/1.16 (define @t912 () (=> tptp.ex1I @t911)) % 0.93/1.16 (define @t913 () (=> tptp.ex1E1 @t912)) % 0.93/1.16 (define @t914 () (=> tptp.singletonprop @t913)) % 0.93/1.16 (define @t915 () (=> tptp.setunionsingleton @t914)) % 0.93/1.16 (define @t916 () (=> tptp.setunionsingleton2 @t915)) % 0.93/1.16 (define @t917 () (=> tptp.setunionsingleton1 @t916)) % 0.93/1.16 (define @t918 () (=> tptp.setunionE2 @t917)) % 0.93/1.16 (define @t919 () (=> tptp.cartprodmempair @t918)) % 0.93/1.16 (define @t920 () (=> tptp.cartprodmempair1 @t919)) % 0.93/1.16 (define @t921 () (=> tptp.cartprodpairin @t920)) % 0.93/1.16 (define @t922 () (=> tptp.ubforcartprodlem3 @t921)) % 0.93/1.16 (define @t923 () (=> tptp.ubforcartprodlem2 @t922)) % 0.93/1.16 (define @t924 () (=> tptp.ubforcartprodlem1 @t923)) % 0.93/1.16 (define @t925 () (=> tptp.upairinpowunion @t924)) % 0.93/1.16 (define @t926 () (=> tptp.upairsubunion @t925)) % 0.93/1.16 (define @t927 () (=> tptp.upairset2E @t926)) % 0.93/1.16 (define @t928 () (=> tptp.singletoninpowunion @t927)) % 0.93/1.16 (define @t929 () (=> tptp.singletoninpowerset @t928)) % 0.93/1.16 (define @t930 () (=> tptp.singletonsubset @t929)) % 0.93/1.16 (define @t931 () (=> tptp.kpairp @t930)) % 0.93/1.16 (define @t932 () (=> tptp.kpairiskpair @t931)) % 0.93/1.16 (define @t933 () (=> tptp.setukpairIR @t932)) % 0.93/1.16 (define @t934 () (=> tptp.setukpairIL @t933)) % 0.93/1.16 (define @t935 () (=> tptp.secondinupair @t934)) % 0.93/1.16 (define @t936 () (=> tptp.symdiffIneg2 @t935)) % 0.93/1.16 (define @t937 () (=> tptp.symdiffIneg1 @t936)) % 0.93/1.16 (define @t938 () (=> tptp.symdiffI2 @t937)) % 0.93/1.16 (define @t939 () (=> tptp.symdiffI1 @t938)) % 0.93/1.16 (define @t940 () (=> tptp.symdiffE @t939)) % 0.93/1.16 (define @t941 () (=> tptp.setminusSubset1 @t940)) % 0.93/1.16 (define @t942 () (=> tptp.setminusLsub @t941)) % 0.93/1.16 (define @t943 () (=> tptp.setminusIRneg @t942)) % 0.93/1.16 (define @t944 () (=> tptp.setminusILneg @t943)) % 0.93/1.16 (define @t945 () (=> tptp.setminusELneg @t944)) % 0.93/1.16 (define @t946 () (=> tptp.setminusERneg @t945)) % 0.93/1.16 (define @t947 () (=> tptp.setminusSubset2 @t946)) % 0.93/1.16 (define @t948 () (=> tptp.setminusER @t947)) % 0.93/1.16 (define @t949 () (=> tptp.setminusEL @t948)) % 0.93/1.16 (define @t950 () (=> tptp.setminusI @t949)) % 0.93/1.16 (define @t951 () (=> tptp.bs114d @t950)) % 0.93/1.16 (define @t952 () (=> tptp.binintersectSubset1 @t951)) % 0.93/1.16 (define @t953 () (=> tptp.binintersectSubset4 @t952)) % 0.93/1.16 (define @t954 () (=> tptp.binintersectRsub @t953)) % 0.93/1.16 (define @t955 () (=> tptp.disjointsetsI1 @t954)) % 0.93/1.16 (define @t956 () (=> tptp.binintersectER @t955)) % 0.93/1.16 (define @t957 () (=> tptp.binintersectSubset3 @t956)) % 0.93/1.16 (define @t958 () (=> tptp.binintersectSubset2 @t957)) % 0.93/1.16 (define @t959 () (=> tptp.binintersectLsub @t958)) % 0.93/1.16 (define @t960 () (=> tptp.binintersectEL @t959)) % 0.93/1.16 (define @t961 () (=> tptp.binintersectSubset5 @t960)) % 0.93/1.16 (define @t962 () (=> tptp.binintersectI @t961)) % 0.93/1.16 (define @t963 () (=> tptp.binunionRsub @t962)) % 0.93/1.16 (define @t964 () (=> tptp.binunionLsub @t963)) % 0.93/1.16 (define @t965 () (=> tptp.binunionE @t964)) % 0.93/1.16 (define @t966 () (=> tptp.binunionEcases @t965)) % 0.93/1.16 (define @t967 () (=> tptp.binunionIR @t966)) % 0.93/1.16 (define @t968 () (=> tptp.upairset2IR @t967)) % 0.93/1.16 (define @t969 () (=> tptp.binunionIL @t968)) % 0.93/1.16 (define @t970 () (=> tptp.sepSubset @t969)) % 0.93/1.16 (define @t971 () (=> tptp.sepInPowerset @t970)) % 0.93/1.16 (define @t972 () (=> tptp.powersetsubset @t971)) % 0.93/1.16 (define @t973 () (=> tptp.inPowerset @t972)) % 0.93/1.16 (define @t974 () (=> tptp.powersetE1 @t973)) % 0.93/1.16 (define @t975 () (=> tptp.powersetI1 @t974)) % 0.93/1.16 (define @t976 () (=> tptp.subsetemptysetimpeq @t975)) % 0.93/1.16 (define @t977 () (=> tptp.setextsub @t976)) % 0.93/1.16 (define @t978 () (=> tptp.subset2powerset @t977)) % 0.93/1.16 (define @t979 () (=> tptp.setadjoinSub2 @t978)) % 0.93/1.16 (define @t980 () (=> tptp.setadjoinSub @t979)) % 0.93/1.16 (define @t981 () (=> tptp.subsetTrans @t980)) % 0.93/1.16 (define @t982 () (=> tptp.subsetRefl @t981)) % 0.93/1.16 (define @t983 () (=> tptp.notequalI2 @t982)) % 0.93/1.16 (define @t984 () (=> tptp.notequalI1 @t983)) % 0.93/1.16 (define @t985 () (=> tptp.notsubsetI @t984)) % 0.93/1.16 (define @t986 () (=> tptp.subsetE2 @t985)) % 0.93/1.16 (define @t987 () (=> tptp.subsetE @t986)) % 0.93/1.16 (define @t988 () (=> tptp.emptysetsubset @t987)) % 0.93/1.16 (define @t989 () (=> tptp.subsetI2 @t988)) % 0.93/1.16 (define @t990 () (=> tptp.eqimpsubset1 @t989)) % 0.93/1.16 (define @t991 () (=> tptp.eqimpsubset2 @t990)) % 0.93/1.16 (define @t992 () (=> tptp.subsetI1 @t991)) % 0.93/1.16 (define @t993 () (=> tptp.dsetconstr__Cong @t992)) % 0.93/1.16 (define @t994 () (=> tptp.descr__Cong @t993)) % 0.93/1.16 (define @t995 () (=> tptp.exuEu @t994)) % 0.93/1.16 (define @t996 () (=> tptp.omega__Cong @t995)) % 0.93/1.16 (define @t997 () (=> tptp.setunion__Cong @t996)) % 0.93/1.16 (define @t998 () (=> tptp.powerset__Cong @t997)) % 0.93/1.16 (define @t999 () (=> tptp.setadjoin__Cong @t998)) % 0.93/1.16 (define @t1000 () (=> tptp.emptyset__Cong @t999)) % 0.93/1.16 (define @t1001 () (=> tptp.exu__Cong @t1000)) % 0.93/1.16 (define @t1002 () (=> tptp.exuE3u @t1001)) % 0.93/1.16 (define @t1003 () (=> tptp.in__Cong @t1002)) % 0.93/1.16 (define @t1004 () (=> tptp.inCongP @t1003)) % 0.93/1.16 (define @t1005 () (=> tptp.exuI2 @t1004)) % 0.93/1.16 (define @t1006 () (=> tptp.exuI3 @t1005)) % 0.93/1.16 (define @t1007 () (=> tptp.exuI1 @t1006)) % 0.93/1.16 (define @t1008 () (=> tptp.notdallE @t1007)) % 0.93/1.16 (define @t1009 () (=> tptp.notdexE @t1008)) % 0.93/1.16 (define @t1010 () (=> tptp.prop2set2propI @t1009)) % 0.93/1.16 (define @t1011 () (=> tptp.prop2setI @t1010)) % 0.93/1.16 (define @t1012 () (=> tptp.quantDeMorgan4 @t1011)) % 0.93/1.16 (define @t1013 () (=> tptp.quantDeMorgan3 @t1012)) % 0.93/1.16 (define @t1014 () (=> tptp.quantDeMorgan2 @t1013)) % 0.93/1.16 (define @t1015 () (=> tptp.quantDeMorgan1 @t1014)) % 0.93/1.16 (define @t1016 () (=> tptp.vacuousDall @t1015)) % 0.93/1.16 (define @t1017 () (=> tptp.emptyE1 @t1016)) % 0.93/1.16 (define @t1018 () (=> tptp.upairsetIR @t1017)) % 0.93/1.16 (define @t1019 () (=> tptp.upairsetIL @t1018)) % 0.93/1.16 (define @t1020 () (=> tptp.upairsetE @t1019)) % 0.93/1.16 (define @t1021 () (=> tptp.singletonsswitch @t1020)) % 0.93/1.16 (define @t1022 () (=> tptp.eqinunit @t1021)) % 0.93/1.16 (define @t1023 () (=> tptp.notinsingleton @t1022)) % 0.93/1.16 (define @t1024 () (=> tptp.uniqinunit @t1023)) % 0.93/1.16 (define @t1025 () (=> tptp.nonemptyImpWitness @t1024)) % 0.93/1.16 (define @t1026 () (=> tptp.exuE2 @t1025)) % 0.93/1.16 (define @t1027 () (=> tptp.subPowSU @t1026)) % 0.93/1.16 (define @t1028 () (=> tptp.setunionE @t1027)) % 0.93/1.16 (define @t1029 () (=> tptp.setunionI @t1028)) % 0.93/1.16 (define @t1030 () (=> tptp.powersetE @t1029)) % 0.93/1.16 (define @t1031 () (=> tptp.emptyInPowerset @t1030)) % 0.93/1.16 (define @t1032 () (=> tptp.emptyinPowerset @t1031)) % 0.93/1.16 (define @t1033 () (=> tptp.powersetI @t1032)) % 0.93/1.16 (define @t1034 () (=> tptp.setoftrueEq @t1033)) % 0.93/1.16 (define @t1035 () (=> tptp.setadjoinOr @t1034)) % 0.93/1.16 (define @t1036 () (=> tptp.setadjoinE @t1035)) % 0.93/1.16 (define @t1037 () (=> tptp.setadjoinIR @t1036)) % 0.93/1.16 (define @t1038 () (=> tptp.emptyinunitempty @t1037)) % 0.93/1.16 (define @t1039 () (=> tptp.setadjoinIL @t1038)) % 0.93/1.16 (define @t1040 () (=> tptp.nonemptyI1 @t1039)) % 0.93/1.16 (define @t1041 () (=> tptp.nonemptyI @t1040)) % 0.93/1.16 (define @t1042 () (=> tptp.nonemptyE1 @t1041)) % 0.93/1.16 (define @t1043 () (=> tptp.setbeta @t1042)) % 0.93/1.16 (define @t1044 () (=> tptp.noeltsimpempty @t1043)) % 0.93/1.16 (define @t1045 () (=> tptp.emptyI @t1044)) % 0.93/1.16 (define @t1046 () (=> tptp.setext @t1045)) % 0.93/1.16 (define @t1047 () (=> tptp.exuE3e @t1046)) % 0.93/1.16 (define @t1048 () (=> tptp.notinemptyset @t1047)) % 0.93/1.16 (define @t1049 () (=> tptp.emptysetimpfalse @t1048)) % 0.93/1.16 (define @t1050 () (=> tptp.emptysetE @t1049)) % 0.93/1.16 (define @t1051 () (=> tptp.prop2setE @t1050)) % 0.93/1.16 (define @t1052 () (=> tptp.exuE1 @t1051)) % 0.93/1.16 (define @t1053 () (=> tptp.dsetconstrER @t1052)) % 0.93/1.16 (define @t1054 () (=> tptp.dsetconstrEL @t1053)) % 0.93/1.16 (define @t1055 () (=> tptp.dsetconstrI @t1054)) % 0.93/1.16 (define @t1056 () (=> tptp.descrp @t1055)) % 0.93/1.16 (define @t1057 () (=> tptp.wellorderingAx @t1056)) % 0.93/1.16 (define @t1058 () (=> tptp.foundationAx @t1057)) % 0.93/1.16 (define @t1059 () (=> tptp.replAx @t1058)) % 0.93/1.16 (define @t1060 () (=> tptp.omegaIndAx @t1059)) % 0.93/1.16 (define @t1061 () (=> tptp.omegaSAx @t1060)) % 0.93/1.16 (define @t1062 () (=> tptp.omega0Ax @t1061)) % 0.93/1.16 (define @t1063 () (=> tptp.setunionAx @t1062)) % 0.93/1.16 (define @t1064 () (=> tptp.powersetAx @t1063)) % 0.93/1.16 (define @t1065 () (=> tptp.setadjoinAx @t1064)) % 0.93/1.16 (define @t1066 () (=> tptp.emptysetAx @t1065)) % 0.93/1.16 (define @t1067 () (=> tptp.setextAx @t1066)) % 0.93/1.16 (define @t1068 () (not @t1067)) % 0.93/1.16 (define @t1069 () (lambda @t150 @t169)) % 0.93/1.16 (define @t1070 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.93/1.16 (define @t1071 () (= @t2 @t279)) % 0.93/1.16 (define @t1072 () (and @t7 @t1071)) % 0.93/1.16 (define @t1073 () (exists @t9 @t1072)) % 0.93/1.16 (define @t1074 () (lambda @t64 @t1073)) % 0.93/1.16 (define @t1075 () (lambda @t309 @t711)) % 0.93/1.16 (define @t1076 () (_ @t520 @t671)) % 0.93/1.16 (define @t1077 () (lambda @t455 @t1076)) % 0.93/1.16 (define @t1078 () (@var "R" $$unsorted)) % 0.93/1.16 (define @t1079 () (_ @t665 @t1078)) % 0.93/1.16 (define @t1080 () (lambda @t70 @t1079)) % 0.93/1.16 (define @t1081 () (=> @t7 (_ (_ tptp.ex1 @t1) @t1080))) % 0.93/1.16 (define @t1082 () (forall @t9 @t1081)) % 0.93/1.16 (define @t1083 () (and (_ @t855 @t1078) @t1082)) % 0.93/1.16 (define @t1084 () (@list @t2 @t1 @t1078)) % 0.93/1.16 (define @t1085 () (lambda @t1084 @t1083)) % 0.93/1.16 (define @t1086 () (lambda @t12 (_ (_ tptp.dsetconstr (_ tptp.powerset @t671)) (lambda (@list @t870) @t876)))) % 0.93/1.16 (define @t1087 () (@var "BOUND_VARIABLE_12305" $$unsorted)) % 0.93/1.16 (define @t1088 () (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1087 @t19) @t870)))) % 0.93/1.16 (define @t1089 () (@var "BOUND_VARIABLE_12257" $$unsorted)) % 0.93/1.16 (define @t1090 () (tptp.setadjoin @t1089 tptp.emptyset)) % 0.93/1.16 (define @t1091 () (not (tptp.in @t1089 @t1088))) % 0.93/1.16 (define @t1092 () (@list @t1089)) % 0.93/1.16 (define @t1093 () (not (tptp.in @t1087 @t2))) % 0.93/1.16 (define @t1094 () (tptp.kpair @t4 @t19)) % 0.93/1.16 (define @t1095 () (tptp.in @t1094 @t870)) % 0.93/1.16 (define @t1096 () (lambda @t70 @t1095)) % 0.93/1.16 (define @t1097 () (tptp.dsetconstr @t1 @t1096)) % 0.93/1.16 (define @t1098 () (@var "BOUND_VARIABLE_8830" $$unsorted)) % 0.93/1.16 (define @t1099 () (tptp.setadjoin @t1098 tptp.emptyset)) % 0.93/1.16 (define @t1100 () (@list @t1098)) % 0.93/1.16 (define @t1101 () (tptp.in @t4 @t2)) % 0.93/1.16 (define @t1102 () (not @t1101)) % 0.93/1.16 (define @t1103 () (forall @t9 (or @t1102 (not (forall @t1100 (or (not (tptp.in @t1098 @t1097)) (not (= @t1099 @t1097)))))))) % 0.93/1.16 (define @t1104 () (not @t1103)) % 0.93/1.16 (define @t1105 () (tptp.cartprod @t2 @t1)) % 0.93/1.16 (define @t1106 () (tptp.subset @t870 @t1105)) % 0.93/1.16 (define @t1107 () (not @t1106)) % 0.93/1.16 (define @t1108 () (@list @t2 @t1 @t870 @t1087)) % 0.93/1.16 (define @t1109 () (forall @t1108 (or @t1107 @t1104 @t1093 (not (forall @t1092 (or @t1091 (not (= @t1090 @t1088)))))))) % 0.93/1.16 (define @t1110 () (_ @t67 @t4 @t19)) % 0.93/1.16 (define @t1111 () (tptp.dpsetconstr @t2 @t1 @t67)) % 0.93/1.16 (define @t1112 () (tptp.in @t1094 @t1111)) % 0.93/1.16 (define @t1113 () (not @t1112)) % 0.93/1.16 (define @t1114 () (tptp.in @t19 @t1)) % 0.93/1.16 (define @t1115 () (@var "BOUND_VARIABLE_12015" $$unsorted)) % 0.93/1.16 (define @t1116 () (_ @t67 @t4 @t1115)) % 0.93/1.16 (define @t1117 () (not (tptp.in (tptp.kpair @t4 @t1115) @t1111))) % 0.93/1.16 (define @t1118 () (not (tptp.in @t1115 @t1))) % 0.93/1.16 (define @t1119 () (or @t1102 @t1118 @t1117 @t1116)) % 0.93/1.16 (define @t1120 () (@list @t2 @t1 @t67 @t4 @t1115)) % 0.93/1.16 (define @t1121 () (forall @t852 (tptp.subset @t1111 @t1105))) % 0.93/1.16 (define @t1122 () (@var "BOUND_VARIABLE_11965" $$unsorted)) % 0.93/1.16 (define @t1123 () (tptp.in (tptp.kpair @t4 @t1122) @t1111)) % 0.93/1.16 (define @t1124 () (not (_ @t67 @t4 @t1122))) % 0.93/1.16 (define @t1125 () (not (tptp.in @t1122 @t1))) % 0.93/1.16 (define @t1126 () (or @t1102 @t1125 @t1124 @t1123)) % 0.93/1.16 (define @t1127 () (@list @t2 @t1 @t67 @t4 @t1122)) % 0.93/1.16 (define @t1128 () (tptp.ksnd @t381)) % 0.93/1.16 (define @t1129 () (tptp.kfst @t381)) % 0.93/1.16 (define @t1130 () (tptp.kpair @t1129 @t1128)) % 0.93/1.16 (define @t1131 () (= @t381 @t1130)) % 0.93/1.16 (define @t1132 () (tptp.in @t381 @t1105)) % 0.93/1.16 (define @t1133 () (not @t1132)) % 0.93/1.16 (define @t1134 () (@var "BOUND_VARIABLE_11917" $$unsorted)) % 0.93/1.16 (define @t1135 () (= @t1134 (tptp.ksnd (tptp.kpair @t4 @t1134)))) % 0.93/1.16 (define @t1136 () (not (tptp.in @t1134 @t1))) % 0.93/1.16 (define @t1137 () (or @t1102 @t1136 @t1135)) % 0.93/1.16 (define @t1138 () (@list @t2 @t1 @t4 @t1134)) % 0.93/1.16 (define @t1139 () (@var "BOUND_VARIABLE_11890" $$unsorted)) % 0.93/1.16 (define @t1140 () (= @t4 (tptp.kfst (tptp.kpair @t4 @t1139)))) % 0.93/1.16 (define @t1141 () (not (tptp.in @t1139 @t1))) % 0.93/1.16 (define @t1142 () (or @t1102 @t1141 @t1140)) % 0.93/1.16 (define @t1143 () (@list @t2 @t1 @t4 @t1139)) % 0.93/1.16 (define @t1144 () (=> (forall @t1143 @t1142) (=> (forall @t1138 @t1137) (=> (forall @t685 (or @t1133 @t1131)) (=> (forall @t1127 @t1126) (=> @t1121 (=> @t1121 (=> (forall @t1120 @t1119) (=> (forall @t863 (or @t1113 @t1101)) (=> (forall @t863 (or @t1113 @t1114)) (=> (forall @t863 (or @t1113 @t1110)) @t1109))))))))))) % 0.93/1.16 (define @t1145 () (tptp.in @t1094 @t1105)) % 0.93/1.16 (define @t1146 () (not @t1145)) % 0.93/1.16 (define @t1147 () (forall @t815 (or @t1146 @t1114))) % 0.93/1.16 (define @t1148 () (forall @t815 (or @t1146 @t1101))) % 0.93/1.16 (define @t1149 () (tptp.in @t1128 @t1)) % 0.93/1.16 (define @t1150 () (forall @t685 (or @t1133 @t1149))) % 0.93/1.16 (define @t1151 () (tptp.iskpair @t381)) % 0.93/1.16 (define @t1152 () (not @t1151)) % 0.93/1.16 (define @t1153 () (forall @t750 (or @t1152 @t1131))) % 0.93/1.16 (define @t1154 () (tptp.ksnd @t1094)) % 0.93/1.16 (define @t1155 () (= @t19 @t1154)) % 0.93/1.16 (define @t1156 () (forall @t135 @t1155)) % 0.93/1.16 (define @t1157 () (@var "BOUND_VARIABLE_11793" $$unsorted)) % 0.93/1.16 (define @t1158 () (tptp.kpair @t1129 @t1157)) % 0.93/1.16 (define @t1159 () (= @t381 @t1158)) % 0.93/1.16 (define @t1160 () (@list @t1157)) % 0.93/1.16 (define @t1161 () (lambda @t1160 @t1159)) % 0.93/1.16 (define @t1162 () (tptp.setunion @t381)) % 0.93/1.16 (define @t1163 () (tptp.dsetconstr @t1162 @t1161)) % 0.93/1.16 (define @t1164 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.93/1.16 (define @t1165 () (not (forall @t9 (or (not (tptp.in @t4 @t1163)) (not (= @t1164 @t1163)))))) % 0.93/1.16 (define @t1166 () (forall @t750 (or @t1152 @t1165))) % 0.93/1.16 (define @t1167 () (tptp.kpair @t289 @t381)) % 0.93/1.16 (define @t1168 () (not (= @t1094 @t1167))) % 0.93/1.16 (define @t1169 () (forall @t771 (or @t1168 @t785))) % 0.93/1.16 (define @t1170 () (tptp.setadjoin @t381 tptp.emptyset)) % 0.93/1.16 (define @t1171 () (tptp.setadjoin @t289 @t1170)) % 0.93/1.16 (define @t1172 () (tptp.setadjoin @t1171 tptp.emptyset)) % 0.93/1.16 (define @t1173 () (tptp.setadjoin @t289 tptp.emptyset)) % 0.93/1.16 (define @t1174 () (tptp.setadjoin @t1173 @t1172)) % 0.93/1.16 (define @t1175 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.93/1.16 (define @t1176 () (tptp.setadjoin @t4 @t1175)) % 0.93/1.16 (define @t1177 () (tptp.setadjoin @t1176 tptp.emptyset)) % 0.93/1.16 (define @t1178 () (tptp.setadjoin @t1164 @t1177)) % 0.93/1.16 (define @t1179 () (not (= @t1178 @t1174))) % 0.93/1.16 (define @t1180 () (forall @t771 (or @t1179 @t785))) % 0.93/1.16 (define @t1181 () (forall @t295 (or (not (= @t1176 @t1173)) @t129))) % 0.93/1.16 (define @t1182 () (not (= @t1178 (tptp.setadjoin @t1170 (tptp.setadjoin (tptp.setadjoin @t381 @t1170) tptp.emptyset))))) % 0.93/1.16 (define @t1183 () (or @t1182 @t785)) % 0.93/1.16 (define @t1184 () (@list @t4 @t19 @t381)) % 0.93/1.16 (define @t1185 () (forall @t1184 @t1183)) % 0.93/1.16 (define @t1186 () (tptp.setadjoin @t19 @t1175)) % 0.93/1.16 (define @t1187 () (= (tptp.setadjoin @t1175 (tptp.setadjoin @t1186 tptp.emptyset)) (tptp.setadjoin @t1175 tptp.emptyset))) % 0.93/1.16 (define @t1188 () (forall @t70 @t1187)) % 0.93/1.16 (define @t1189 () (= @t1175 @t1186)) % 0.93/1.16 (define @t1190 () (forall @t70 @t1189)) % 0.93/1.16 (define @t1191 () (forall @t771 (or @t1168 @t739))) % 0.93/1.16 (define @t1192 () (forall @t771 (or @t1179 @t739))) % 0.93/1.16 (define @t1193 () (tptp.in @t1129 @t2)) % 0.93/1.16 (define @t1194 () (forall @t685 (or @t1133 @t1193))) % 0.93/1.16 (define @t1195 () (tptp.kfst @t1094)) % 0.93/1.16 (define @t1196 () (= @t4 @t1195)) % 0.93/1.16 (define @t1197 () (forall @t135 @t1196)) % 0.93/1.16 (define @t1198 () (@var "BOUND_VARIABLE_11633" $$unsorted)) % 0.93/1.16 (define @t1199 () (tptp.setadjoin @t1198 tptp.emptyset)) % 0.93/1.16 (define @t1200 () (not (tptp.in @t1198 @t1199))) % 0.93/1.16 (define @t1201 () (tptp.in (tptp.setunion @t1199) @t1199)) % 0.93/1.16 (define @t1202 () (or @t1201 @t1200)) % 0.93/1.16 (define @t1203 () (@list @t1198)) % 0.93/1.16 (define @t1204 () (forall @t1203 @t1202)) % 0.93/1.16 (define @t1205 () (@var "BOUND_VARIABLE_11573" $$unsorted)) % 0.93/1.16 (define @t1206 () (tptp.setadjoin @t1205 tptp.emptyset)) % 0.93/1.16 (define @t1207 () (tptp.in @t1206 @t381)) % 0.93/1.16 (define @t1208 () (@list @t1205)) % 0.93/1.16 (define @t1209 () (lambda @t1208 @t1207)) % 0.93/1.16 (define @t1210 () (tptp.dsetconstr @t1162 @t1209)) % 0.93/1.16 (define @t1211 () (not (forall @t9 (or (not (tptp.in @t4 @t1210)) (not (= @t1164 @t1210)))))) % 0.93/1.16 (define @t1212 () (forall @t750 (or @t1152 @t1211))) % 0.93/1.16 (define @t1213 () (tptp.in @t1173 @t1178)) % 0.93/1.16 (define @t1214 () (forall @t295 (or (not @t1213) @t739))) % 0.93/1.16 (define @t1215 () (forall @t135 (or (not (= @t1164 @t1175)) @t129))) % 0.93/1.16 (define @t1216 () (@var "BOUND_VARIABLE_11391" $$unsorted)) % 0.93/1.16 (define @t1217 () (not (_ @t143 @t1216))) % 0.93/1.16 (define @t1218 () (not (tptp.in @t1216 @t2))) % 0.93/1.16 (define @t1219 () (tptp.dsetconstr @t2 @t143)) % 0.93/1.16 (define @t1220 () (tptp.in @t4 @t1219)) % 0.93/1.16 (define @t1221 () (not @t1220)) % 0.93/1.16 (define @t1222 () (forall @t9 (or @t1221 (not (= @t1164 @t1219))))) % 0.93/1.16 (define @t1223 () (not @t1222)) % 0.93/1.16 (define @t1224 () (@var "BOUND_VARIABLE_11371" $$unsorted)) % 0.93/1.16 (define @t1225 () (= @t4 @t1224)) % 0.93/1.16 (define @t1226 () (not (_ @t143 @t1224))) % 0.93/1.16 (define @t1227 () (not (tptp.in @t1224 @t2))) % 0.93/1.16 (define @t1228 () (_ @t143 @t4)) % 0.93/1.16 (define @t1229 () (not @t1228)) % 0.93/1.16 (define @t1230 () (or @t1102 @t1229 @t1227 @t1226 @t1225)) % 0.93/1.16 (define @t1231 () (@list @t4 @t1224)) % 0.93/1.16 (define @t1232 () (forall @t1231 @t1230)) % 0.93/1.16 (define @t1233 () (not @t1232)) % 0.93/1.16 (define @t1234 () (or @t1233 @t1223 @t1218 @t1217)) % 0.93/1.16 (define @t1235 () (@list @t2 @t143 @t1216)) % 0.93/1.16 (define @t1236 () (forall @t1235 @t1234)) % 0.93/1.16 (define @t1237 () (@var "BOUND_VARIABLE_11491" $$unsorted)) % 0.93/1.16 (define @t1238 () (tptp.setadjoin @t1237 tptp.emptyset)) % 0.93/1.16 (define @t1239 () (not (tptp.in @t1237 @t1219))) % 0.93/1.16 (define @t1240 () (@list @t1237)) % 0.93/1.16 (define @t1241 () (not (forall @t1240 (or @t1239 (not (= @t1219 @t1238)))))) % 0.93/1.16 (define @t1242 () (_ @t143 @t19)) % 0.93/1.16 (define @t1243 () (not @t1242)) % 0.93/1.16 (define @t1244 () (tptp.in @t19 @t2)) % 0.93/1.16 (define @t1245 () (not @t1244)) % 0.93/1.16 (define @t1246 () (forall @t70 (or @t1245 @t1243 @t129))) % 0.93/1.16 (define @t1247 () (not @t1246)) % 0.93/1.16 (define @t1248 () (forall @t159 (or @t1102 @t1229 @t1247 @t1241))) % 0.93/1.16 (define @t1249 () (@var "BOUND_VARIABLE_11448" $$unsorted)) % 0.93/1.16 (define @t1250 () (tptp.setadjoin @t1249 tptp.emptyset)) % 0.93/1.16 (define @t1251 () (not (tptp.in @t1249 @t1219))) % 0.93/1.16 (define @t1252 () (forall @t9 (or @t1102 @t1229))) % 0.93/1.16 (define @t1253 () (not @t1252)) % 0.93/1.16 (define @t1254 () (@list @t2 @t143 @t1249)) % 0.93/1.16 (define @t1255 () (forall @t1254 (or @t1253 @t1251 (not (= @t1219 @t1250))))) % 0.93/1.16 (define @t1256 () (tptp.setunion @t1164)) % 0.93/1.16 (define @t1257 () (forall @t9 (= @t4 @t1256))) % 0.93/1.16 (define @t1258 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.93/1.16 (define @t1259 () (tptp.setunion @t1258)) % 0.93/1.16 (define @t1260 () (tptp.subset @t2 @t1259)) % 0.93/1.16 (define @t1261 () (forall @t64 @t1260)) % 0.93/1.16 (define @t1262 () (tptp.subset @t1259 @t2)) % 0.93/1.16 (define @t1263 () (forall @t64 @t1262)) % 0.93/1.16 (define @t1264 () (tptp.in @t4 @t691)) % 0.93/1.16 (define @t1265 () (not @t1264)) % 0.93/1.16 (define @t1266 () (tptp.in @t691 @t2)) % 0.93/1.16 (define @t1267 () (not (forall @t695 (or (not @t1266) @t1265)))) % 0.93/1.16 (define @t1268 () (tptp.setunion @t2)) % 0.93/1.16 (define @t1269 () (tptp.in @t4 @t1268)) % 0.93/1.16 (define @t1270 () (not @t1269)) % 0.93/1.16 (define @t1271 () (forall @t46 (or @t1270 @t1267))) % 0.93/1.16 (define @t1272 () (forall @t685 (or @t1133 @t1151))) % 0.93/1.16 (define @t1273 () (@var "BOUND_VARIABLE_11274" $$unsorted)) % 0.93/1.16 (define @t1274 () (not (= @t381 (tptp.kpair @t4 @t1273)))) % 0.93/1.16 (define @t1275 () (not (tptp.in @t1273 @t1))) % 0.93/1.16 (define @t1276 () (or @t1102 @t1275 @t1274)) % 0.93/1.16 (define @t1277 () (@list @t4 @t1273)) % 0.93/1.16 (define @t1278 () (not (forall @t1277 @t1276))) % 0.93/1.16 (define @t1279 () (forall @t685 (or @t1133 @t1278))) % 0.93/1.16 (define @t1280 () (@var "BOUND_VARIABLE_11240" $$unsorted)) % 0.93/1.16 (define @t1281 () (tptp.in (tptp.kpair @t4 @t1280) @t1105)) % 0.93/1.16 (define @t1282 () (not (tptp.in @t1280 @t1))) % 0.93/1.16 (define @t1283 () (or @t1102 @t1282 @t1281)) % 0.93/1.16 (define @t1284 () (@list @t2 @t1 @t4 @t1280)) % 0.93/1.16 (define @t1285 () (forall @t1284 @t1283)) % 0.93/1.16 (define @t1286 () (tptp.binunion @t2 @t1)) % 0.93/1.16 (define @t1287 () (tptp.powerset @t1286)) % 0.93/1.16 (define @t1288 () (tptp.powerset @t1287)) % 0.93/1.16 (define @t1289 () (@var "BOUND_VARIABLE_11213" $$unsorted)) % 0.93/1.16 (define @t1290 () (tptp.in (tptp.kpair @t4 @t1289) @t1288)) % 0.93/1.16 (define @t1291 () (not (tptp.in @t1289 @t1))) % 0.93/1.16 (define @t1292 () (or @t1102 @t1291 @t1290)) % 0.93/1.16 (define @t1293 () (@list @t2 @t1 @t4 @t1289)) % 0.93/1.16 (define @t1294 () (forall @t1293 @t1292)) % 0.93/1.16 (define @t1295 () (@var "BOUND_VARIABLE_11184" $$unsorted)) % 0.93/1.16 (define @t1296 () (tptp.in (tptp.setadjoin @t1164 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1295 tptp.emptyset)) tptp.emptyset)) @t1288)) % 0.93/1.16 (define @t1297 () (not (tptp.in @t1295 @t1))) % 0.93/1.16 (define @t1298 () (or @t1102 @t1297 @t1296)) % 0.93/1.16 (define @t1299 () (@list @t2 @t1 @t4 @t1295)) % 0.93/1.16 (define @t1300 () (forall @t1299 @t1298)) % 0.93/1.16 (define @t1301 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 0.93/1.16 (define @t1302 () (tptp.subset (tptp.setadjoin @t1164 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1301 tptp.emptyset)) tptp.emptyset)) @t1287)) % 0.93/1.16 (define @t1303 () (not (tptp.in @t1301 @t1))) % 0.93/1.16 (define @t1304 () (or @t1102 @t1303 @t1302)) % 0.93/1.16 (define @t1305 () (@list @t2 @t1 @t4 @t1301)) % 0.93/1.16 (define @t1306 () (forall @t1305 @t1304)) % 0.93/1.16 (define @t1307 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 0.93/1.16 (define @t1308 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t1307 tptp.emptyset)) @t1287)) % 0.93/1.16 (define @t1309 () (not (tptp.in @t1307 @t1))) % 0.93/1.16 (define @t1310 () (or @t1102 @t1309 @t1308)) % 0.93/1.16 (define @t1311 () (@list @t2 @t1 @t4 @t1307)) % 0.93/1.16 (define @t1312 () (forall @t1311 @t1310)) % 0.93/1.16 (define @t1313 () (@var "BOUND_VARIABLE_11096" $$unsorted)) % 0.93/1.16 (define @t1314 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t1313 tptp.emptyset)) @t1286)) % 0.93/1.16 (define @t1315 () (not (tptp.in @t1313 @t1))) % 0.93/1.16 (define @t1316 () (or @t1102 @t1315 @t1314)) % 0.93/1.16 (define @t1317 () (@list @t2 @t1 @t4 @t1313)) % 0.93/1.16 (define @t1318 () (forall @t1317 @t1316)) % 0.93/1.16 (define @t1319 () (= @t19 @t289)) % 0.93/1.16 (define @t1320 () (tptp.in @t289 @t1176)) % 0.93/1.16 (define @t1321 () (forall @t295 (or (not @t1320) @t739 @t1319))) % 0.93/1.16 (define @t1322 () (tptp.in @t1164 @t1287)) % 0.93/1.16 (define @t1323 () (forall @t245 (or @t1102 @t1322))) % 0.93/1.16 (define @t1324 () (tptp.powerset @t2)) % 0.93/1.16 (define @t1325 () (tptp.in @t1164 @t1324)) % 0.93/1.16 (define @t1326 () (forall @t46 (or @t1102 @t1325))) % 0.93/1.16 (define @t1327 () (tptp.subset @t1164 @t2)) % 0.93/1.16 (define @t1328 () (forall @t46 (or @t1102 @t1327))) % 0.93/1.16 (define @t1329 () (tptp.iskpair @t1094)) % 0.93/1.16 (define @t1330 () (forall @t135 @t1329)) % 0.93/1.16 (define @t1331 () (tptp.iskpair @t1178)) % 0.93/1.16 (define @t1332 () (forall @t135 @t1331)) % 0.93/1.16 (define @t1333 () (tptp.setunion @t1178)) % 0.93/1.16 (define @t1334 () (tptp.in @t19 @t1333)) % 0.93/1.16 (define @t1335 () (forall @t135 @t1334)) % 0.93/1.16 (define @t1336 () (tptp.in @t4 @t1333)) % 0.93/1.16 (define @t1337 () (forall @t135 @t1336)) % 0.93/1.16 (define @t1338 () (tptp.in @t19 @t1176)) % 0.93/1.16 (define @t1339 () (forall @t135 @t1338)) % 0.93/1.16 (define @t1340 () (tptp.symdiff @t2 @t1)) % 0.93/1.16 (define @t1341 () (tptp.in @t4 @t1340)) % 0.93/1.16 (define @t1342 () (not @t1341)) % 0.93/1.16 (define @t1343 () (tptp.in @t4 @t1)) % 0.93/1.16 (define @t1344 () (forall @t245 (or @t1101 @t1343 @t1342))) % 0.93/1.16 (define @t1345 () (not @t1343)) % 0.93/1.16 (define @t1346 () (forall @t245 (or @t1102 @t1345 @t1342))) % 0.93/1.16 (define @t1347 () (forall @t245 (or @t1101 @t1345 @t1341))) % 0.93/1.16 (define @t1348 () (forall @t245 (or @t1102 @t1343 @t1341))) % 0.93/1.16 (define @t1349 () (and @t1102 @t1343)) % 0.93/1.16 (define @t1350 () (and @t1101 @t1345)) % 0.93/1.16 (define @t1351 () (forall @t245 (or @t1342 @t1350 @t1349))) % 0.93/1.16 (define @t1352 () (tptp.subset @t2 @t1)) % 0.93/1.16 (define @t1353 () (tptp.setminus @t2 @t1)) % 0.93/1.16 (define @t1354 () (= tptp.emptyset @t1353)) % 0.93/1.16 (define @t1355 () (forall @t12 (or (not @t1354) @t1352))) % 0.93/1.16 (define @t1356 () (tptp.subset @t1353 @t2)) % 0.93/1.16 (define @t1357 () (forall @t12 @t1356)) % 0.93/1.16 (define @t1358 () (tptp.in @t4 @t1353)) % 0.93/1.16 (define @t1359 () (not @t1358)) % 0.93/1.16 (define @t1360 () (forall @t245 (or @t1345 @t1359))) % 0.93/1.16 (define @t1361 () (forall @t245 (or @t1101 @t1359))) % 0.93/1.16 (define @t1362 () (forall @t245 (or @t1358 @t1343 @t1102))) % 0.93/1.16 (define @t1363 () (forall @t245 (or @t1358 @t1102 @t1343))) % 0.93/1.16 (define @t1364 () (not @t1352)) % 0.93/1.16 (define @t1365 () (forall @t12 (or @t1364 @t1354))) % 0.93/1.16 (define @t1366 () (forall @t245 (or @t1359 @t1345))) % 0.93/1.16 (define @t1367 () (forall @t245 (or @t1359 @t1101))) % 0.93/1.16 (define @t1368 () (forall @t245 (or @t1102 @t1343 @t1358))) % 0.93/1.16 (define @t1369 () (tptp.binintersect @t2 @t104)) % 0.93/1.16 (define @t1370 () (tptp.binintersect @t2 @t1)) % 0.93/1.16 (define @t1371 () (tptp.binunion @t1370 @t1369)) % 0.93/1.16 (define @t1372 () (tptp.binunion @t1 @t104)) % 0.93/1.16 (define @t1373 () (tptp.binintersect @t2 @t1372)) % 0.93/1.16 (define @t1374 () (forall @t455 (= @t1373 @t1371))) % 0.93/1.16 (define @t1375 () (= @t2 @t1370)) % 0.93/1.16 (define @t1376 () (forall @t12 (or (not @t1375) @t1352))) % 0.93/1.16 (define @t1377 () (= @t1 @t1370)) % 0.93/1.16 (define @t1378 () (tptp.subset @t1 @t2)) % 0.93/1.16 (define @t1379 () (not @t1378)) % 0.93/1.16 (define @t1380 () (forall @t12 (or @t1379 @t1377))) % 0.93/1.16 (define @t1381 () (tptp.subset @t1370 @t1)) % 0.93/1.16 (define @t1382 () (forall @t12 @t1381)) % 0.93/1.16 (define @t1383 () (forall @t9 (or @t1102 @t1345))) % 0.93/1.16 (define @t1384 () (not @t1383)) % 0.93/1.16 (define @t1385 () (forall @t12 (or @t1384 (= tptp.emptyset @t1370)))) % 0.93/1.16 (define @t1386 () (tptp.in @t4 @t1370)) % 0.93/1.16 (define @t1387 () (not @t1386)) % 0.93/1.16 (define @t1388 () (forall @t245 (or @t1387 @t1343))) % 0.93/1.16 (define @t1389 () (forall @t12 (or (not @t1377) @t1378))) % 0.93/1.16 (define @t1390 () (forall @t12 (or @t1364 @t1375))) % 0.93/1.16 (define @t1391 () (tptp.subset @t1370 @t2)) % 0.93/1.16 (define @t1392 () (forall @t12 @t1391)) % 0.93/1.16 (define @t1393 () (forall @t245 (or @t1387 @t1101))) % 0.93/1.16 (define @t1394 () (tptp.subset @t104 @t1370)) % 0.93/1.16 (define @t1395 () (tptp.subset @t104 @t1)) % 0.93/1.16 (define @t1396 () (tptp.subset @t104 @t2)) % 0.93/1.16 (define @t1397 () (forall @t455 (or (not @t1396) (not @t1395) @t1394))) % 0.93/1.16 (define @t1398 () (forall @t245 (or @t1102 @t1345 @t1386))) % 0.93/1.16 (define @t1399 () (tptp.subset @t1 @t1286)) % 0.93/1.16 (define @t1400 () (forall @t12 @t1399)) % 0.93/1.16 (define @t1401 () (tptp.subset @t2 @t1286)) % 0.93/1.16 (define @t1402 () (forall @t12 @t1401)) % 0.93/1.16 (define @t1403 () (tptp.in @t4 @t1286)) % 0.93/1.16 (define @t1404 () (not @t1403)) % 0.93/1.16 (define @t1405 () (forall @t245 (or @t1404 @t1101 @t1343))) % 0.93/1.16 (define @t1406 () (forall @t245 (or @t1345 @t1403))) % 0.93/1.16 (define @t1407 () (forall @t245 (or @t1102 @t1403))) % 0.93/1.16 (define @t1408 () (forall @t309 (tptp.subset @t1219 @t2))) % 0.93/1.16 (define @t1409 () (forall @t309 (tptp.in @t1219 @t1324))) % 0.93/1.16 (define @t1410 () (tptp.powerset @t1)) % 0.93/1.16 (define @t1411 () (tptp.subset @t1324 @t1410)) % 0.93/1.16 (define @t1412 () (forall @t12 (or @t1364 @t1411))) % 0.93/1.16 (define @t1413 () (tptp.in @t2 @t1324)) % 0.93/1.16 (define @t1414 () (forall @t64 @t1413)) % 0.93/1.16 (define @t1415 () (tptp.in @t1 @t1324)) % 0.93/1.16 (define @t1416 () (not @t1415)) % 0.93/1.16 (define @t1417 () (forall @t12 (or @t1416 @t1378))) % 0.93/1.16 (define @t1418 () (forall @t12 (or @t1379 @t1415))) % 0.93/1.16 (define @t1419 () (tptp.subset @t2 tptp.emptyset)) % 0.93/1.16 (define @t1420 () (forall @t64 (or (not @t1419) @t196))) % 0.93/1.16 (define @t1421 () (forall @t12 (or @t1364 @t1379 @t3))) % 0.93/1.16 (define @t1422 () (tptp.in @t2 @t1410)) % 0.93/1.16 (define @t1423 () (forall @t12 (or @t1364 @t1422))) % 0.93/1.16 (define @t1424 () (tptp.setadjoin @t4 @t1)) % 0.93/1.16 (define @t1425 () (tptp.subset @t2 @t1424)) % 0.93/1.16 (define @t1426 () (forall @t249 (or @t1364 @t1425))) % 0.93/1.16 (define @t1427 () (tptp.setadjoin @t4 @t2)) % 0.93/1.16 (define @t1428 () (tptp.subset @t2 @t1427)) % 0.93/1.16 (define @t1429 () (forall @t459 @t1428)) % 0.93/1.16 (define @t1430 () (tptp.subset @t2 @t104)) % 0.93/1.16 (define @t1431 () (tptp.subset @t1 @t104)) % 0.93/1.16 (define @t1432 () (forall @t455 (or @t1364 (not @t1431) @t1430))) % 0.93/1.16 (define @t1433 () (tptp.subset @t2 @t2)) % 0.93/1.16 (define @t1434 () (forall @t64 @t1433)) % 0.93/1.16 (define @t1435 () (tptp.subset @t1 @t1)) % 0.93/1.16 (define @t1436 () (forall @t41 @t1435)) % 0.93/1.16 (define @t1437 () (forall @t245 (or @t1102 @t1343 @t1364))) % 0.93/1.16 (define @t1438 () (forall @t245 (or @t1364 @t1343 @t1102))) % 0.93/1.16 (define @t1439 () (forall @t245 (or @t1364 @t1102 @t1343))) % 0.93/1.16 (define @t1440 () (tptp.subset tptp.emptyset @t2)) % 0.93/1.16 (define @t1441 () (forall @t64 @t1440)) % 0.93/1.16 (define @t1442 () (forall @t9 (or @t1102 @t1343))) % 0.93/1.16 (define @t1443 () (not @t1442)) % 0.93/1.16 (define @t1444 () (forall @t12 (or @t1443 @t1352))) % 0.93/1.16 (define @t1445 () (@var "BOUND_VARIABLE_10494" (-> $$unsorted Bool))) % 0.93/1.16 (define @t1446 () (tptp.dsetconstr @t1 @t1445)) % 0.93/1.16 (define @t1447 () (@var "BOUND_VARIABLE_10496" (-> $$unsorted Bool))) % 0.93/1.16 (define @t1448 () (tptp.dsetconstr @t1 @t1447)) % 0.93/1.16 (define @t1449 () (= @t1448 @t1446)) % 0.93/1.16 (define @t1450 () (= (_ @t1445 @t4) (_ @t1447 @t4))) % 0.93/1.16 (define @t1451 () (or @t1345 @t1450)) % 0.93/1.16 (define @t1452 () (not (forall @t9 @t1451))) % 0.93/1.16 (define @t1453 () (or @t1452 @t1449)) % 0.93/1.16 (define @t1454 () (@list @t1 @t1445 @t1447)) % 0.93/1.16 (define @t1455 () (forall @t1454 @t1453)) % 0.93/1.16 (define @t1456 () (@var "BOUND_VARIABLE_10433" $$unsorted)) % 0.93/1.16 (define @t1457 () (_ @t366 @t19)) % 0.93/1.16 (define @t1458 () (not @t1457)) % 0.93/1.16 (define @t1459 () (not (_ @t366 @t1456))) % 0.93/1.16 (define @t1460 () (@var "BOUND_VARIABLE_10424" $$unsorted)) % 0.93/1.16 (define @t1461 () (not (_ @t143 @t1460))) % 0.93/1.16 (define @t1462 () (tptp.descr @t143)) % 0.93/1.16 (define @t1463 () (= @t1462 (tptp.descr @t366))) % 0.93/1.16 (define @t1464 () (= @t1242 @t1457)) % 0.93/1.16 (define @t1465 () (forall @t70 @t1464)) % 0.93/1.16 (define @t1466 () (not @t1465)) % 0.93/1.16 (define @t1467 () (@list @t143 @t366 @t1460 @t1456)) % 0.93/1.16 (define @t1468 () (forall @t1467 (or @t1466 @t1463 @t1461 (not (forall @t70 (or @t1243 (= @t19 @t1460)))) @t1459 (not (forall @t70 (or @t1458 (= @t19 @t1456))))))) % 0.93/1.16 (define @t1469 () (@var "BOUND_VARIABLE_10266" $$unsorted)) % 0.93/1.16 (define @t1470 () (@var "BOUND_VARIABLE_10264" $$unsorted)) % 0.93/1.16 (define @t1471 () (= @t1470 @t1469)) % 0.93/1.16 (define @t1472 () (not (_ @t143 @t1469))) % 0.93/1.16 (define @t1473 () (not (_ @t143 @t1470))) % 0.93/1.16 (define @t1474 () (@var "BOUND_VARIABLE_10255" $$unsorted)) % 0.93/1.16 (define @t1475 () (not (_ @t143 @t1474))) % 0.93/1.16 (define @t1476 () (@list @t143 @t1474 @t1470 @t1469)) % 0.93/1.16 (define @t1477 () (forall @t1476 (or @t1475 (not (forall @t70 (or @t1243 (= @t19 @t1474)))) @t1473 @t1472 @t1471))) % 0.93/1.16 (define @t1478 () (not (forall @t70 (or @t1458 @t129)))) % 0.93/1.16 (define @t1479 () (_ @t366 @t4)) % 0.93/1.16 (define @t1480 () (forall @t9 (or (not @t1479) @t1478))) % 0.93/1.16 (define @t1481 () (not @t1480)) % 0.93/1.16 (define @t1482 () (forall @t70 (or @t1243 @t129))) % 0.93/1.16 (define @t1483 () (not @t1482)) % 0.93/1.16 (define @t1484 () (forall @t9 (or @t1229 @t1483))) % 0.93/1.16 (define @t1485 () (not @t1484)) % 0.93/1.16 (define @t1486 () (= @t1485 @t1481)) % 0.93/1.16 (define @t1487 () (forall @t376 (or @t1466 @t1486))) % 0.93/1.16 (define @t1488 () (@var "BOUND_VARIABLE_10162" $$unsorted)) % 0.93/1.16 (define @t1489 () (@list @t143 @t1488)) % 0.93/1.16 (define @t1490 () (forall @t1489 (or (not (forall @t70 (= @t1242 (= @t19 @t1488)))) @t1485))) % 0.93/1.16 (define @t1491 () (forall @t135 (or @t1229 @t1243 @t129))) % 0.93/1.16 (define @t1492 () (not @t1491)) % 0.93/1.16 (define @t1493 () (@var "BOUND_VARIABLE_10146" $$unsorted)) % 0.93/1.16 (define @t1494 () (not (_ @t143 @t1493))) % 0.93/1.16 (define @t1495 () (or @t1494 @t1492 @t1485)) % 0.93/1.16 (define @t1496 () (forall (@list @t143 @t1493) @t1495)) % 0.93/1.16 (define @t1497 () (=> @t1496 (=> @t1490 (=> @t1477 (=> @t1487 (=> @t1477 (=> @t1468 (=> @t1455 (=> @t1444 (=> @t1436 (=> @t1436 (=> @t1444 (=> @t1441 (=> @t1439 (=> @t1438 (=> @t1437 (=> @t1436 (=> @t1434 (=> @t1432 (=> @t1429 (=> @t1426 (=> @t1423 (=> @t1421 (=> @t1420 (=> @t1418 (=> @t1417 (=> @t1414 (=> @t1412 (=> @t1409 (=> @t1408 (=> @t1407 (=> @t1339 (=> @t1406 (=> @t1405 (=> @t1405 (=> @t1402 (=> @t1400 (=> @t1398 (=> @t1397 (=> @t1393 (=> @t1392 (=> @t1390 (=> @t1389 (=> @t1388 (=> @t1385 (=> @t1382 (=> @t1380 (=> @t1376 (=> @t1374 (=> @t1368 (=> @t1367 (=> @t1366 (=> @t1365 (=> @t1363 (=> @t1362 (=> @t1361 (=> @t1360 (=> @t1357 (=> @t1355 (=> @t1351 (=> @t1348 (=> @t1347 (=> @t1346 (=> @t1344 (=> @t1339 (=> @t1337 (=> @t1335 (=> @t1332 (=> @t1330 (=> @t1328 (=> @t1326 (=> @t1323 (=> @t1321 (=> @t1318 (=> @t1312 (=> @t1306 (=> @t1300 (=> @t1294 (=> @t1285 (=> @t1279 (=> @t1272 (=> @t1271 (=> @t1263 (=> @t1261 (=> @t1257 (=> @t1236 (=> @t1255 (=> @t1248 (=> @t1236 (=> @t1215 (=> @t1214 (=> @t1212 (=> @t1204 (=> @t1197 (=> @t1194 (=> @t1192 (=> @t1191 (=> @t1190 (=> @t1188 (=> @t1185 (=> @t1181 (=> @t1180 (=> @t1169 (=> @t1166 (=> @t1156 (=> @t1153 (=> @t1150 (=> @t1148 (=> @t1147 @t1144))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 0.93/1.16 (define @t1498 () (tptp.prop2set true)) % 0.93/1.16 (define @t1499 () (tptp.set2prop @t1498)) % 0.93/1.16 (define @t1500 () (=> @t1499 @t1497)) % 0.93/1.16 (define @t1501 () (tptp.in tptp.emptyset @t1498)) % 0.93/1.16 (define @t1502 () (=> @t1501 @t1500)) % 0.93/1.16 (define @t1503 () (tptp.in @t4 tptp.emptyset)) % 0.93/1.16 (define @t1504 () (not @t1503)) % 0.93/1.16 (define @t1505 () (forall @t312 (or @t1504 @t1228))) % 0.93/1.16 (define @t1506 () (=> @t1505 @t1502)) % 0.93/1.16 (define @t1507 () (@var "BOUND_VARIABLE_10055" $$unsorted)) % 0.93/1.16 (define @t1508 () (not (_ @t143 @t1507))) % 0.93/1.16 (define @t1509 () (not (tptp.in @t1507 @t2))) % 0.93/1.16 (define @t1510 () (not (= tptp.emptyset @t1219))) % 0.93/1.16 (define @t1511 () (or @t1510 @t1509 @t1508)) % 0.93/1.16 (define @t1512 () (@list @t2 @t143 @t1507)) % 0.93/1.16 (define @t1513 () (forall @t1512 @t1511)) % 0.93/1.16 (define @t1514 () (=> @t1513 @t1506)) % 0.93/1.16 (define @t1515 () (=> @t1339 @t1514)) % 0.93/1.16 (define @t1516 () (tptp.in @t4 @t1176)) % 0.93/1.16 (define @t1517 () (forall @t135 @t1516)) % 0.93/1.16 (define @t1518 () (=> @t1517 @t1515)) % 0.93/1.16 (define @t1519 () (=> @t1321 @t1518)) % 0.93/1.16 (define @t1520 () (tptp.in @t19 @t1164)) % 0.93/1.16 (define @t1521 () (tptp.in @t4 @t1175)) % 0.93/1.16 (define @t1522 () (not @t1521)) % 0.93/1.16 (define @t1523 () (forall @t135 (or @t1522 @t1520))) % 0.93/1.16 (define @t1524 () (=> @t1523 @t1519)) % 0.93/1.16 (define @t1525 () (tptp.in @t19 @t1175)) % 0.93/1.16 (define @t1526 () (forall @t70 @t1525)) % 0.93/1.16 (define @t1527 () (=> @t1526 @t1524)) % 0.93/1.16 (define @t1528 () (forall @t135 (or @t129 (not @t1520)))) % 0.93/1.16 (define @t1529 () (=> @t1528 @t1527)) % 0.93/1.16 (define @t1530 () (forall @t135 (or @t1522 @t129))) % 0.93/1.16 (define @t1531 () (=> @t1530 @t1529)) % 0.93/1.16 (define @t1532 () (forall @t9 @t1102)) % 0.93/1.16 (define @t1533 () (not @t1532)) % 0.93/1.16 (define @t1534 () (forall @t64 (or @t196 @t1533))) % 0.93/1.16 (define @t1535 () (=> @t1534 @t1531)) % 0.93/1.16 (define @t1536 () (@var "BOUND_VARIABLE_9941" $$unsorted)) % 0.93/1.16 (define @t1537 () (not (_ @t143 @t1536))) % 0.93/1.16 (define @t1538 () (forall @t70 (= @t129 @t1242))) % 0.93/1.16 (define @t1539 () (forall @t9 (not @t1538))) % 0.93/1.16 (define @t1540 () (not @t1539)) % 0.93/1.16 (define @t1541 () (@list @t143 @t1536)) % 0.93/1.16 (define @t1542 () (forall @t1541 (or @t1540 @t1537 (not (forall @t70 (or @t1243 (= @t19 @t1536))))))) % 0.93/1.16 (define @t1543 () (=> @t1542 @t1535)) % 0.93/1.16 (define @t1544 () (tptp.powerset @t1268)) % 0.93/1.16 (define @t1545 () (tptp.in @t4 @t1544)) % 0.93/1.16 (define @t1546 () (forall @t46 (or @t1102 @t1545))) % 0.93/1.16 (define @t1547 () (=> @t1546 @t1543)) % 0.93/1.16 (define @t1548 () (tptp.in @t1 @t2)) % 0.93/1.16 (define @t1549 () (not @t1548)) % 0.93/1.16 (define @t1550 () (forall @t41 (or @t1345 @t1549))) % 0.93/1.16 (define @t1551 () (not @t1550)) % 0.93/1.16 (define @t1552 () (forall @t46 (or @t1270 @t1551))) % 0.93/1.16 (define @t1553 () (=> @t1552 @t1547)) % 0.93/1.16 (define @t1554 () (forall @t249 (or @t1345 @t1549 @t1269))) % 0.93/1.16 (define @t1555 () (=> @t1554 @t1553)) % 0.93/1.16 (define @t1556 () (forall @t245 (or @t1416 @t1345 @t1101))) % 0.93/1.16 (define @t1557 () (=> @t1556 @t1555)) % 0.93/1.16 (define @t1558 () (tptp.in tptp.emptyset @t1324)) % 0.93/1.16 (define @t1559 () (forall @t64 @t1558)) % 0.93/1.16 (define @t1560 () (=> @t1559 @t1557)) % 0.93/1.16 (define @t1561 () (=> @t1559 @t1560)) % 0.93/1.16 (define @t1562 () (forall @t9 (or @t1345 @t1101))) % 0.93/1.16 (define @t1563 () (not @t1562)) % 0.93/1.16 (define @t1564 () (forall @t12 (or @t1563 @t1415))) % 0.93/1.16 (define @t1565 () (=> @t1564 @t1561)) % 0.93/1.16 (define @t1566 () (@var "BOUND_VARIABLE_35499" $$unsorted)) % 0.93/1.16 (define @t1567 () (lambda (@list @t1566) true)) % 0.93/1.16 (define @t1568 () (tptp.dsetconstr @t2 @t1567)) % 0.93/1.16 (define @t1569 () (forall @t64 (= @t2 @t1568))) % 0.93/1.16 (define @t1570 () (=> @t1569 @t1565)) % 0.93/1.16 (define @t1571 () (tptp.in @t19 @t1427)) % 0.93/1.16 (define @t1572 () (forall @t28 (or (not @t1571) @t129 @t1244))) % 0.93/1.16 (define @t1573 () (=> @t1572 @t1570)) % 0.93/1.16 (define @t1574 () (=> @t1572 @t1573)) % 0.93/1.16 (define @t1575 () (forall @t28 (or @t1245 @t1571))) % 0.93/1.16 (define @t1576 () (=> @t1575 @t1574)) % 0.93/1.16 (define @t1577 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.93/1.16 (define @t1578 () (tptp.in tptp.emptyset @t1577)) % 0.93/1.16 (define @t1579 () (=> @t221 @t1576)) % 0.93/1.16 (define @t1580 () (tptp.setadjoin @t4 @t19)) % 0.93/1.16 (define @t1581 () (tptp.in @t4 @t1580)) % 0.93/1.16 (define @t1582 () (forall @t135 @t1581)) % 0.93/1.16 (define @t1583 () (=> @t1582 @t1579)) % 0.93/1.16 (define @t1584 () (@var "BOUND_VARIABLE_9782" $$unsorted)) % 0.93/1.16 (define @t1585 () (not (tptp.in @t1584 tptp.emptyset))) % 0.93/1.16 (define @t1586 () (@list @t1584)) % 0.93/1.16 (define @t1587 () (forall @t1586 @t1585)) % 0.93/1.16 (define @t1588 () (=> @t1587 @t1583)) % 0.93/1.16 (define @t1589 () (forall @t159 (or @t1102 @t1229 @t1510))) % 0.93/1.16 (define @t1590 () (=> @t1589 @t1588)) % 0.93/1.16 (define @t1591 () (=> @t1534 @t1590)) % 0.93/1.16 (define @t1592 () (forall @t159 (or @t1102 (= @t1228 @t1220)))) % 0.93/1.16 (define @t1593 () (=> @t1592 @t1591)) % 0.93/1.16 (define @t1594 () (forall @t64 (or @t1533 @t196))) % 0.93/1.16 (define @t1595 () (=> @t1594 @t1593)) % 0.93/1.16 (define @t1596 () (=> @t1594 @t1595)) % 0.93/1.16 (define @t1597 () (or @t1443 @t1563 @t3)) % 0.93/1.16 (define @t1598 () (forall @t12 @t1597)) % 0.93/1.16 (define @t1599 () (=> @t1598 @t1596)) % 0.93/1.16 (define @t1600 () (@var "BOUND_VARIABLE_9679" $$unsorted)) % 0.93/1.16 (define @t1601 () (not (_ @t143 @t1600))) % 0.93/1.16 (define @t1602 () (forall @t9 @t1229)) % 0.93/1.16 (define @t1603 () (not @t1602)) % 0.93/1.16 (define @t1604 () (@list @t143 @t1600)) % 0.93/1.16 (define @t1605 () (forall @t1604 (or @t1603 @t1601 (not (forall @t70 (or @t1243 (= @t19 @t1600))))))) % 0.93/1.16 (define @t1606 () (=> @t1605 @t1599)) % 0.93/1.16 (define @t1607 () (forall @t9 @t1504)) % 0.93/1.16 (define @t1608 () (=> @t1607 @t1606)) % 0.93/1.16 (define @t1609 () (=> @t1607 @t1608)) % 0.93/1.16 (define @t1610 () (=> @t1607 @t1609)) % 0.93/1.16 (define @t1611 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.93/1.16 (define @t1612 () (forall @t9 @t1611)) % 0.93/1.16 (define @t1613 () (=> @t1612 @t1610)) % 0.93/1.16 (define @t1614 () (forall @t159 (or @t1221 @t1228))) % 0.93/1.16 (define @t1615 () (=> @t1614 @t1613)) % 0.93/1.16 (define @t1616 () (forall @t159 (or @t1221 @t1101))) % 0.93/1.16 (define @t1617 () (=> @t1616 @t1615)) % 0.93/1.16 (define @t1618 () (forall @t159 (or @t1102 @t1229 @t1220))) % 0.93/1.16 (define @t1619 () (=> @t1618 @t1617)) % 0.93/1.16 (define @t1620 () (@var "BOUND_VARIABLE_9581" $$unsorted)) % 0.93/1.16 (define @t1621 () (not (_ @t143 @t1620))) % 0.93/1.16 (define @t1622 () (_ @t143 @t1462)) % 0.93/1.16 (define @t1623 () (@list @t143 @t1620)) % 0.93/1.16 (define @t1624 () (forall @t1623 (or @t1622 @t1621 (not (forall @t70 (or @t1243 (= @t19 @t1620))))))) % 0.93/1.16 (define @t1625 () (=> @t1624 @t1619)) % 0.93/1.16 (define @t1626 () (@var "BOUND_VARIABLE_9501" $$unsorted)) % 0.93/1.16 (define @t1627 () (tptp.in @t1626 @t95)) % 0.93/1.16 (define @t1628 () (not (tptp.in @t1626 @t93))) % 0.93/1.16 (define @t1629 () (tptp.in @t4 @t93)) % 0.93/1.16 (define @t1630 () (tptp.in @t93 @t1)) % 0.93/1.16 (define @t1631 () (not @t1630)) % 0.93/1.16 (define @t1632 () (or @t1631 @t1629 @t1628 @t1627)) % 0.93/1.16 (define @t1633 () (@list @t93 @t1626)) % 0.93/1.16 (define @t1634 () (forall @t1633 @t1632)) % 0.93/1.16 (define @t1635 () (not @t1634)) % 0.93/1.16 (define @t1636 () (tptp.in @t19 @t104)) % 0.93/1.16 (define @t1637 () (tptp.in @t19 @t95)) % 0.93/1.16 (define @t1638 () (forall @t70 (or (not @t1637) (not @t1636)))) % 0.93/1.16 (define @t1639 () (not @t1638)) % 0.93/1.16 (define @t1640 () (tptp.in @t4 @t104)) % 0.93/1.16 (define @t1641 () (not @t1640)) % 0.93/1.16 (define @t1642 () (tptp.in @t95 @t1)) % 0.93/1.16 (define @t1643 () (not @t1642)) % 0.93/1.16 (define @t1644 () (not (forall @t112 (or @t1643 @t1641 @t1639 @t1635)))) % 0.93/1.16 (define @t1645 () (@var "BOUND_VARIABLE_9530" $$unsorted)) % 0.93/1.16 (define @t1646 () (not (tptp.in @t1645 @t104))) % 0.93/1.16 (define @t1647 () (forall @t9 (or @t1641 @t1101))) % 0.93/1.16 (define @t1648 () (not @t1647)) % 0.93/1.16 (define @t1649 () (or @t1648 @t1646 @t1644)) % 0.93/1.16 (define @t1650 () (forall (@list @t104 @t1645) @t1649)) % 0.93/1.16 (define @t1651 () (not @t1650)) % 0.93/1.16 (define @t1652 () (@var "BOUND_VARIABLE_9453" $$unsorted)) % 0.93/1.16 (define @t1653 () (tptp.in @t1652 @t104)) % 0.93/1.16 (define @t1654 () (not (tptp.in @t1652 @t95))) % 0.93/1.16 (define @t1655 () (@var "BOUND_VARIABLE_9447" $$unsorted)) % 0.93/1.16 (define @t1656 () (tptp.in @t1655 @t95)) % 0.93/1.16 (define @t1657 () (not (tptp.in @t1655 @t104))) % 0.93/1.16 (define @t1658 () (tptp.in @t104 @t1)) % 0.93/1.16 (define @t1659 () (not @t1658)) % 0.93/1.16 (define @t1660 () (or @t1659 @t1643 @t1657 @t1656 @t1654 @t1653)) % 0.93/1.16 (define @t1661 () (@list @t104 @t95 @t1655 @t1652)) % 0.93/1.16 (define @t1662 () (forall @t1661 @t1660)) % 0.93/1.16 (define @t1663 () (not @t1662)) % 0.93/1.16 (define @t1664 () (forall @t118 (or @t1659 (= @t1640 @t1636)))) % 0.93/1.16 (define @t1665 () (not @t1664)) % 0.93/1.16 (define @t1666 () (forall @t135 (or @t1102 @t1245 @t1665 @t129))) % 0.93/1.16 (define @t1667 () (not @t1666)) % 0.93/1.16 (define @t1668 () (@var "BOUND_VARIABLE_9396" $$unsorted)) % 0.93/1.16 (define @t1669 () (tptp.in @t1668 @t2)) % 0.93/1.16 (define @t1670 () (not (tptp.in @t1668 @t104))) % 0.93/1.16 (define @t1671 () (or @t1659 @t1670 @t1669)) % 0.93/1.16 (define @t1672 () (@list @t104 @t1668)) % 0.93/1.16 (define @t1673 () (forall @t1672 @t1671)) % 0.93/1.16 (define @t1674 () (not @t1673)) % 0.93/1.16 (define @t1675 () (or @t1674 @t1667 @t1663 @t1651)) % 0.93/1.16 (define @t1676 () (forall @t64 (not (forall @t41 @t1675)))) % 0.93/1.16 (define @t1677 () (=> @t1676 @t1625)) % 0.93/1.16 (define @t1678 () (forall @t9 (or @t1345 @t1102))) % 0.93/1.16 (define @t1679 () (not @t1678)) % 0.93/1.16 (define @t1680 () (not (forall @t41 (or @t1549 @t1679)))) % 0.93/1.16 (define @t1681 () (@var "BOUND_VARIABLE_9371" $$unsorted)) % 0.93/1.16 (define @t1682 () (not (tptp.in @t1681 @t2))) % 0.93/1.16 (define @t1683 () (or @t1682 @t1680)) % 0.93/1.16 (define @t1684 () (forall (@list @t2 @t1681) @t1683)) % 0.93/1.16 (define @t1685 () (=> @t1684 @t1677)) % 0.93/1.16 (define @t1686 () (_ @t67 @t19 @t4)) % 0.93/1.16 (define @t1687 () (not (forall @t70 (or @t1245 (not @t1686))))) % 0.93/1.16 (define @t1688 () (forall @t9 (= @t1343 @t1687))) % 0.93/1.16 (define @t1689 () (not (forall @t41 (not @t1688)))) % 0.93/1.16 (define @t1690 () (@var "BOUND_VARIABLE_9261" $$unsorted)) % 0.93/1.16 (define @t1691 () (= @t19 @t1690)) % 0.93/1.16 (define @t1692 () (not @t1110)) % 0.93/1.16 (define @t1693 () (not (forall @t70 (or @t1692 @t1691)))) % 0.93/1.16 (define @t1694 () (_ @t67 @t4 @t1690)) % 0.93/1.16 (define @t1695 () (@list @t1690)) % 0.93/1.16 (define @t1696 () (not (forall @t1695 (or (not @t1694) @t1693)))) % 0.93/1.16 (define @t1697 () (forall @t9 (or @t1102 @t1696))) % 0.93/1.16 (define @t1698 () (forall @t81 (or (not @t1697) @t1689))) % 0.93/1.16 (define @t1699 () (=> @t1698 @t1685)) % 0.93/1.16 (define @t1700 () (@var "BOUND_VARIABLE_9242" $$unsorted)) % 0.93/1.16 (define @t1701 () (tptp.in @t1700 @t2)) % 0.93/1.16 (define @t1702 () (not (tptp.in @t1700 tptp.omega))) % 0.93/1.16 (define @t1703 () (tptp.setadjoin @t4 @t4)) % 0.93/1.16 (define @t1704 () (tptp.in @t1703 @t2)) % 0.93/1.16 (define @t1705 () (tptp.in @t4 tptp.omega)) % 0.93/1.16 (define @t1706 () (not @t1705)) % 0.93/1.16 (define @t1707 () (forall @t9 (or @t1706 @t1102 @t1704))) % 0.93/1.16 (define @t1708 () (not @t1707)) % 0.93/1.16 (define @t1709 () (tptp.in tptp.emptyset @t2)) % 0.93/1.16 (define @t1710 () (not @t1709)) % 0.93/1.16 (define @t1711 () (or @t1710 @t1708 @t1702 @t1701)) % 0.93/1.16 (define @t1712 () (@list @t2 @t1700)) % 0.93/1.16 (define @t1713 () (forall @t1712 @t1711)) % 0.93/1.16 (define @t1714 () (=> @t1713 @t1699)) % 0.93/1.16 (define @t1715 () (tptp.in @t1703 tptp.omega)) % 0.93/1.16 (define @t1716 () (forall @t9 (or @t1706 @t1715))) % 0.93/1.16 (define @t1717 () (=> @t1716 @t1714)) % 0.93/1.16 (define @t1718 () (tptp.in tptp.emptyset tptp.omega)) % 0.93/1.16 (define @t1719 () (=> @t50 @t1717)) % 0.93/1.16 (define @t1720 () (forall @t46 (= @t1551 @t1269))) % 0.93/1.16 (define @t1721 () (=> @t1720 @t1719)) % 0.93/1.16 (define @t1722 () (forall @t12 (= @t1562 @t1415))) % 0.93/1.16 (define @t1723 () (=> @t1722 @t1721)) % 0.93/1.16 (define @t1724 () (or @t129 @t1244)) % 0.93/1.16 (define @t1725 () (forall @t28 (= @t1571 @t1724))) % 0.93/1.16 (define @t1726 () (=> @t1725 @t1723)) % 0.93/1.16 (define @t1727 () (=> @t1607 @t1726)) % 0.93/1.16 (define @t1728 () (forall @t9 (= @t1101 @t1343))) % 0.93/1.16 (define @t1729 () (forall @t12 (or (not @t1728) @t3))) % 0.93/1.16 (define @t1730 () (=> @t1729 @t1727)) % 0.93/1.16 (define @t1731 () (=> @t1147 (=> true @t1144))) % 0.93/1.16 (define @t1732 () (=> @t1148 @t1731)) % 0.93/1.16 (define @t1733 () (=> @t1150 @t1732)) % 0.93/1.16 (define @t1734 () (=> @t1153 @t1733)) % 0.93/1.16 (define @t1735 () (=> @t1156 @t1734)) % 0.93/1.16 (define @t1736 () (=> @t1166 @t1735)) % 0.93/1.16 (define @t1737 () (=> @t1169 @t1736)) % 0.93/1.16 (define @t1738 () (=> @t1180 @t1737)) % 0.93/1.16 (define @t1739 () (=> @t1181 @t1738)) % 0.93/1.16 (define @t1740 () (=> @t1185 @t1739)) % 0.93/1.16 (define @t1741 () (=> @t1188 @t1740)) % 0.93/1.16 (define @t1742 () (=> @t1190 @t1741)) % 0.93/1.16 (define @t1743 () (=> @t1191 @t1742)) % 0.93/1.16 (define @t1744 () (=> @t1192 @t1743)) % 0.93/1.16 (define @t1745 () (=> @t1194 @t1744)) % 0.93/1.16 (define @t1746 () (=> @t1197 @t1745)) % 0.93/1.16 (define @t1747 () (=> @t1204 @t1746)) % 0.93/1.16 (define @t1748 () (=> @t1212 @t1747)) % 0.93/1.16 (define @t1749 () (=> @t1214 @t1748)) % 0.93/1.16 (define @t1750 () (=> @t1215 @t1749)) % 0.93/1.16 (define @t1751 () (=> @t1236 @t1750)) % 0.93/1.16 (define @t1752 () (=> @t1248 @t1751)) % 0.93/1.16 (define @t1753 () (=> @t1255 @t1752)) % 0.93/1.16 (define @t1754 () (=> @t1236 @t1753)) % 0.93/1.16 (define @t1755 () (=> @t1257 @t1754)) % 0.93/1.16 (define @t1756 () (=> @t1261 @t1755)) % 0.93/1.16 (define @t1757 () (=> @t1263 @t1756)) % 0.93/1.16 (define @t1758 () (=> @t1271 @t1757)) % 0.93/1.16 (define @t1759 () (=> @t1272 @t1758)) % 0.93/1.16 (define @t1760 () (=> @t1279 @t1759)) % 0.93/1.16 (define @t1761 () (=> @t1285 @t1760)) % 0.93/1.16 (define @t1762 () (=> @t1294 @t1761)) % 0.93/1.16 (define @t1763 () (=> @t1300 @t1762)) % 0.93/1.16 (define @t1764 () (=> @t1306 @t1763)) % 0.93/1.16 (define @t1765 () (=> @t1312 @t1764)) % 0.93/1.16 (define @t1766 () (=> @t1318 @t1765)) % 0.93/1.16 (define @t1767 () (=> @t1321 @t1766)) % 0.93/1.16 (define @t1768 () (=> @t1323 @t1767)) % 0.93/1.16 (define @t1769 () (=> @t1326 @t1768)) % 0.93/1.16 (define @t1770 () (=> @t1328 @t1769)) % 0.93/1.16 (define @t1771 () (=> @t1330 @t1770)) % 0.93/1.16 (define @t1772 () (=> @t1332 @t1771)) % 0.93/1.16 (define @t1773 () (=> @t1335 @t1772)) % 0.93/1.16 (define @t1774 () (=> @t1337 @t1773)) % 0.93/1.16 (define @t1775 () (=> @t1339 @t1774)) % 0.93/1.16 (define @t1776 () (=> @t1344 @t1775)) % 0.93/1.16 (define @t1777 () (=> @t1346 @t1776)) % 0.93/1.16 (define @t1778 () (=> @t1347 @t1777)) % 0.93/1.16 (define @t1779 () (=> @t1348 @t1778)) % 0.93/1.16 (define @t1780 () (=> @t1351 @t1779)) % 0.93/1.16 (define @t1781 () (=> @t1355 @t1780)) % 0.93/1.16 (define @t1782 () (=> @t1357 @t1781)) % 0.93/1.16 (define @t1783 () (=> @t1360 @t1782)) % 0.93/1.16 (define @t1784 () (=> @t1361 @t1783)) % 0.93/1.16 (define @t1785 () (=> @t1362 @t1784)) % 0.93/1.16 (define @t1786 () (=> @t1363 @t1785)) % 0.93/1.16 (define @t1787 () (=> @t1365 @t1786)) % 0.93/1.16 (define @t1788 () (=> @t1366 @t1787)) % 0.93/1.16 (define @t1789 () (=> @t1367 @t1788)) % 0.93/1.16 (define @t1790 () (=> @t1368 @t1789)) % 0.93/1.16 (define @t1791 () (=> @t1374 @t1790)) % 0.93/1.16 (define @t1792 () (=> @t1376 @t1791)) % 0.93/1.16 (define @t1793 () (=> @t1380 @t1792)) % 0.93/1.16 (define @t1794 () (=> @t1382 @t1793)) % 0.93/1.16 (define @t1795 () (=> @t1385 @t1794)) % 0.93/1.16 (define @t1796 () (=> @t1388 @t1795)) % 0.93/1.16 (define @t1797 () (=> @t1389 @t1796)) % 0.93/1.16 (define @t1798 () (=> @t1390 @t1797)) % 0.93/1.16 (define @t1799 () (=> @t1392 @t1798)) % 0.93/1.16 (define @t1800 () (=> @t1393 @t1799)) % 0.93/1.16 (define @t1801 () (=> @t1397 @t1800)) % 0.93/1.16 (define @t1802 () (=> @t1398 @t1801)) % 0.93/1.16 (define @t1803 () (=> @t1400 @t1802)) % 0.93/1.16 (define @t1804 () (=> @t1402 @t1803)) % 0.93/1.16 (define @t1805 () (=> @t1405 @t1804)) % 0.93/1.16 (define @t1806 () (=> @t1405 @t1805)) % 0.93/1.16 (define @t1807 () (=> @t1406 @t1806)) % 0.93/1.16 (define @t1808 () (=> @t1339 @t1807)) % 0.93/1.16 (define @t1809 () (=> @t1407 @t1808)) % 0.93/1.16 (define @t1810 () (=> @t1408 @t1809)) % 0.93/1.16 (define @t1811 () (=> @t1409 @t1810)) % 0.93/1.16 (define @t1812 () (=> @t1412 @t1811)) % 0.93/1.16 (define @t1813 () (=> @t1414 @t1812)) % 0.93/1.16 (define @t1814 () (=> @t1417 @t1813)) % 0.93/1.16 (define @t1815 () (=> @t1418 @t1814)) % 0.93/1.16 (define @t1816 () (=> @t1420 @t1815)) % 0.93/1.16 (define @t1817 () (=> @t1421 @t1816)) % 0.93/1.16 (define @t1818 () (=> @t1423 @t1817)) % 0.93/1.16 (define @t1819 () (=> @t1426 @t1818)) % 0.93/1.16 (define @t1820 () (=> @t1429 @t1819)) % 0.93/1.16 (define @t1821 () (=> @t1432 @t1820)) % 0.93/1.16 (define @t1822 () (=> @t1434 @t1821)) % 0.93/1.16 (define @t1823 () (=> @t1436 (=> true @t1822))) % 0.93/1.16 (define @t1824 () (=> @t1437 @t1823)) % 0.93/1.16 (define @t1825 () (=> @t1438 @t1824)) % 0.93/1.16 (define @t1826 () (=> @t1439 @t1825)) % 0.93/1.16 (define @t1827 () (=> @t1441 @t1826)) % 0.93/1.16 (define @t1828 () (=> @t1444 @t1827)) % 0.93/1.16 (define @t1829 () (=> @t1436 @t1828)) % 0.93/1.16 (define @t1830 () (=> @t1436 @t1829)) % 0.93/1.16 (define @t1831 () (=> @t1444 @t1830)) % 0.93/1.16 (define @t1832 () (=> @t1455 @t1831)) % 0.93/1.16 (define @t1833 () (=> @t1468 @t1832)) % 0.93/1.16 (define @t1834 () (=> @t1477 @t1833)) % 0.93/1.16 (define @t1835 () (=> true (=> true @t1834))) % 0.93/1.16 (define @t1836 () (=> true @t1835)) % 0.93/1.16 (define @t1837 () (=> true @t1836)) % 0.93/1.16 (define @t1838 () (=> true @t1837)) % 0.93/1.16 (define @t1839 () (=> @t1487 @t1838)) % 0.93/1.16 (define @t1840 () (=> @t1477 @t1839)) % 0.93/1.16 (define @t1841 () (=> true (=> true @t1840))) % 0.93/1.16 (define @t1842 () (=> @t1490 @t1841)) % 0.93/1.16 (define @t1843 () (=> @t1496 @t1842)) % 0.93/1.16 (define @t1844 () (=> true (=> true @t1843))) % 0.93/1.16 (define @t1845 () (=> true @t1844)) % 0.93/1.16 (define @t1846 () (=> @t1499 @t1845)) % 0.93/1.16 (define @t1847 () (=> @t1501 @t1846)) % 0.93/1.16 (define @t1848 () (=> true (=> true @t1847))) % 0.93/1.16 (define @t1849 () (=> true @t1848)) % 0.93/1.16 (define @t1850 () (=> true @t1849)) % 0.93/1.16 (define @t1851 () (=> @t1505 @t1850)) % 0.93/1.16 (define @t1852 () (=> @t1513 @t1851)) % 0.93/1.16 (define @t1853 () (=> @t1339 @t1852)) % 0.93/1.16 (define @t1854 () (=> @t1517 @t1853)) % 0.93/1.16 (define @t1855 () (=> @t1321 @t1854)) % 0.93/1.16 (define @t1856 () (=> @t1523 @t1855)) % 0.93/1.16 (define @t1857 () (=> @t1526 @t1856)) % 0.93/1.16 (define @t1858 () (=> @t1528 @t1857)) % 0.93/1.16 (define @t1859 () (=> @t1530 @t1858)) % 0.93/1.16 (define @t1860 () (=> @t1534 @t1859)) % 0.93/1.16 (define @t1861 () (=> @t1542 @t1860)) % 0.93/1.16 (define @t1862 () (=> @t1546 @t1861)) % 0.93/1.16 (define @t1863 () (=> @t1552 @t1862)) % 0.93/1.16 (define @t1864 () (=> @t1554 @t1863)) % 0.93/1.16 (define @t1865 () (=> @t1556 @t1864)) % 0.93/1.16 (define @t1866 () (=> @t1559 @t1865)) % 0.93/1.16 (define @t1867 () (=> @t1559 @t1866)) % 0.93/1.16 (define @t1868 () (=> @t1564 @t1867)) % 0.93/1.16 (define @t1869 () (=> @t1569 @t1868)) % 0.93/1.16 (define @t1870 () (=> @t1572 @t1869)) % 0.93/1.16 (define @t1871 () (=> @t1572 @t1870)) % 0.93/1.16 (define @t1872 () (=> @t1575 @t1871)) % 0.93/1.16 (define @t1873 () (=> @t221 @t1872)) % 0.93/1.16 (define @t1874 () (=> @t1582 @t1873)) % 0.93/1.16 (define @t1875 () (=> @t1587 @t1874)) % 0.93/1.16 (define @t1876 () (=> @t1589 @t1875)) % 0.93/1.16 (define @t1877 () (=> @t1534 @t1876)) % 0.93/1.16 (define @t1878 () (=> @t1592 @t1877)) % 0.93/1.16 (define @t1879 () (=> @t1594 @t1878)) % 0.93/1.16 (define @t1880 () (=> @t1594 @t1879)) % 0.93/1.16 (define @t1881 () (=> @t1598 @t1880)) % 0.93/1.16 (define @t1882 () (=> @t1605 @t1881)) % 0.93/1.16 (define @t1883 () (=> @t1607 @t1882)) % 0.93/1.16 (define @t1884 () (=> @t1607 @t1883)) % 0.93/1.16 (define @t1885 () (=> @t1607 @t1884)) % 0.93/1.16 (define @t1886 () (=> @t1612 @t1885)) % 0.93/1.16 (define @t1887 () (=> @t1614 (=> true @t1886))) % 0.93/1.16 (define @t1888 () (=> @t1616 @t1887)) % 0.93/1.16 (define @t1889 () (=> @t1618 @t1888)) % 0.93/1.16 (define @t1890 () (=> @t1624 @t1889)) % 0.93/1.16 (define @t1891 () (=> @t1676 @t1890)) % 0.93/1.16 (define @t1892 () (=> @t1684 @t1891)) % 0.93/1.16 (define @t1893 () (=> @t1698 @t1892)) % 0.93/1.16 (define @t1894 () (=> @t1713 @t1893)) % 0.93/1.16 (define @t1895 () (=> @t1716 @t1894)) % 0.93/1.16 (define @t1896 () (=> @t50 @t1895)) % 0.93/1.16 (define @t1897 () (=> @t1720 @t1896)) % 0.93/1.16 (define @t1898 () (=> @t1722 @t1897)) % 0.93/1.16 (define @t1899 () (=> @t1725 @t1898)) % 0.93/1.16 (define @t1900 () (=> @t1607 @t1899)) % 0.93/1.16 (define @t1901 () (=> @t1729 @t1900)) % 0.93/1.16 (define @t1902 () (_ @t67 @t289 @t381)) % 0.93/1.16 (define @t1903 () (lambda @t386 @t1902)) % 0.93/1.16 (define @t1904 () (tptp.dpsetconstr @t2 @t1 @t1903)) % 0.93/1.16 (define @t1905 () (tptp.in @t1094 @t1904)) % 0.93/1.16 (define @t1906 () (not @t1905)) % 0.93/1.16 (define @t1907 () (or @t1906 @t1110)) % 0.93/1.16 (define @t1908 () (_ tptp.in @t1094)) % 0.93/1.16 (define @t1909 () (not @t842)) % 0.93/1.16 (define @t1910 () (or @t1909 @t76)) % 0.93/1.16 (define @t1911 () (=> tptp.dpsetconstrER @t1109)) % 0.93/1.16 (define @t1912 () (or @t1906 @t1114)) % 0.93/1.16 (define @t1913 () (or @t1909 @t352)) % 0.93/1.16 (define @t1914 () (=> tptp.dpsetconstrEL2 @t1911)) % 0.93/1.16 (define @t1915 () (or @t1906 @t1101)) % 0.93/1.16 (define @t1916 () (or @t1909 @t7)) % 0.93/1.16 (define @t1917 () (=> tptp.dpsetconstrEL1 @t1914)) % 0.93/1.16 (define @t1918 () (or @t1118 @t1117 @t1116)) % 0.93/1.16 (define @t1919 () (or @t1102 @t1918)) % 0.93/1.16 (define @t1920 () (forall @t1120 @t1919)) % 0.93/1.16 (define @t1921 () (@list @t1115)) % 0.93/1.16 (define @t1922 () (forall @t1921 @t1919)) % 0.93/1.16 (define @t1923 () (forall @t1921 @t1918)) % 0.93/1.16 (define @t1924 () (@list @t19)) % 0.93/1.16 (define @t1925 () (or @t1102 @t1923)) % 0.93/1.16 (define @t1926 () (not @t1114)) % 0.93/1.16 (define @t1927 () (forall @t70 (or @t1926 @t1113 @t1110))) % 0.93/1.16 (define @t1928 () (or @t197 @t1927)) % 0.93/1.16 (define @t1929 () (or @t1926 @t1906 @t1110)) % 0.93/1.16 (define @t1930 () (not @t352)) % 0.93/1.16 (define @t1931 () (or @t1930 @t1909 @t76)) % 0.93/1.16 (define @t1932 () (=> tptp.dpsetconstrERa @t1917)) % 0.93/1.16 (define @t1933 () (lambda @t135 @t1110)) % 0.93/1.16 (define @t1934 () (tptp.dpsetconstr @t2 @t1 @t1933)) % 0.93/1.16 (define @t1935 () (tptp.subset @t1934 @t1105)) % 0.93/1.16 (define @t1936 () (lambda @t118 @t1076)) % 0.93/1.16 (define @t1937 () (lambda (@list @t1 @t104) @t1076)) % 0.93/1.16 (define @t1938 () (_ @t1077 @t2)) % 0.93/1.16 (define @t1939 () (_ @t1938 @t1)) % 0.93/1.16 (define @t1940 () (forall @t852 (_ @t1939 @t850))) % 0.93/1.16 (define @t1941 () (=> tptp.setOfPairsIsBReln @t1932)) % 0.93/1.16 (define @t1942 () (=> tptp.dpsetconstrSub @t1941)) % 0.93/1.16 (define @t1943 () (or @t1125 @t1124 @t1123)) % 0.93/1.16 (define @t1944 () (or @t1102 @t1943)) % 0.93/1.16 (define @t1945 () (forall @t1127 @t1944)) % 0.93/1.16 (define @t1946 () (@list @t1122)) % 0.93/1.16 (define @t1947 () (forall @t1946 @t1944)) % 0.93/1.16 (define @t1948 () (forall @t1946 @t1943)) % 0.93/1.16 (define @t1949 () (or @t1102 @t1948)) % 0.93/1.16 (define @t1950 () (forall @t70 (or @t1926 @t1692 @t1112))) % 0.93/1.16 (define @t1951 () (or @t197 @t1950)) % 0.93/1.16 (define @t1952 () (or @t1926 @t1692 @t1905)) % 0.93/1.16 (define @t1953 () (not @t76)) % 0.93/1.16 (define @t1954 () (or @t1930 @t1953 @t842)) % 0.93/1.16 (define @t1955 () (=> tptp.dpsetconstrI @t1942)) % 0.93/1.16 (define @t1956 () (_ tptp.kpair @t1129)) % 0.93/1.16 (define @t1957 () (= @t381 @t807)) % 0.93/1.16 (define @t1958 () (not @t683)) % 0.93/1.16 (define @t1959 () (or @t1958 @t1957)) % 0.93/1.16 (define @t1960 () (=> tptp.cartprodpairsurjEq @t1955)) % 0.93/1.16 (define @t1961 () (or @t1136 @t1135)) % 0.93/1.16 (define @t1962 () (or @t1102 @t1961)) % 0.93/1.16 (define @t1963 () (forall @t1138 @t1962)) % 0.93/1.16 (define @t1964 () (@list @t1134)) % 0.93/1.16 (define @t1965 () (forall @t1964 @t1962)) % 0.93/1.16 (define @t1966 () (forall @t1964 @t1961)) % 0.93/1.16 (define @t1967 () (or @t1102 @t1966)) % 0.93/1.16 (define @t1968 () (forall @t70 (or @t1926 @t1155))) % 0.93/1.16 (define @t1969 () (or @t197 @t1968)) % 0.93/1.16 (define @t1970 () (= @t19 @t802)) % 0.93/1.16 (define @t1971 () (or @t1930 @t1970)) % 0.93/1.16 (define @t1972 () (=> tptp.cartprodsndpairEq @t1960)) % 0.93/1.16 (define @t1973 () (or @t1141 @t1140)) % 0.93/1.16 (define @t1974 () (or @t1102 @t1973)) % 0.93/1.16 (define @t1975 () (forall @t1143 @t1974)) % 0.93/1.16 (define @t1976 () (@list @t1139)) % 0.93/1.16 (define @t1977 () (forall @t1976 @t1974)) % 0.93/1.16 (define @t1978 () (forall @t1976 @t1973)) % 0.93/1.16 (define @t1979 () (or @t1102 @t1978)) % 0.93/1.16 (define @t1980 () (forall @t70 (or @t1926 @t1196))) % 0.93/1.16 (define @t1981 () (or @t197 @t1980)) % 0.93/1.16 (define @t1982 () (= @t4 @t758)) % 0.93/1.16 (define @t1983 () (or @t1930 @t1982)) % 0.93/1.16 (define @t1984 () (=> tptp.cartprodfstpairEq @t1972)) % 0.93/1.16 (define @t1985 () (=> tptp.cartprodmempaircEq @t1984)) % 0.93/1.16 (define @t1986 () (not @t672)) % 0.93/1.16 (define @t1987 () (or @t1986 @t352)) % 0.93/1.16 (define @t1988 () (=> tptp.cartprodpairmemER @t1985)) % 0.93/1.16 (define @t1989 () (or @t1986 @t7)) % 0.93/1.16 (define @t1990 () (=> tptp.cartprodpairmemEL @t1988)) % 0.93/1.16 (define @t1991 () (or @t1958 @t812)) % 0.93/1.16 (define @t1992 () (=> tptp.cartprodsndin @t1990)) % 0.93/1.16 (define @t1993 () (not @t688)) % 0.93/1.16 (define @t1994 () (or @t1993 @t1957)) % 0.93/1.16 (define @t1995 () (=> tptp.kpairsurjEq @t1992)) % 0.93/1.16 (define @t1996 () (=> tptp.ksndpairEq @t1995)) % 0.93/1.16 (define @t1997 () (or @t1993 @t1165)) % 0.93/1.16 (define @t1998 () (_ @t796 @t1157)) % 0.93/1.16 (define @t1999 () (= @t381 @t1998)) % 0.93/1.16 (define @t2000 () (lambda @t1160 @t1999)) % 0.93/1.16 (define @t2001 () (_ tptp.dsetconstr @t1162)) % 0.93/1.16 (define @t2002 () (_ @t747 @t2000)) % 0.93/1.16 (define @t2003 () (= @t1164 @t2002)) % 0.93/1.16 (define @t2004 () (not @t2003)) % 0.93/1.16 (define @t2005 () (tptp.in @t4 @t2002)) % 0.93/1.16 (define @t2006 () (not @t2005)) % 0.93/1.16 (define @t2007 () (or @t2006 @t2004)) % 0.93/1.16 (define @t2008 () (@list @t4)) % 0.93/1.16 (define @t2009 () (= @t1164 @t798)) % 0.93/1.16 (define @t2010 () (not @t2009)) % 0.93/1.16 (define @t2011 () (tptp.in @t4 @t798)) % 0.93/1.16 (define @t2012 () (not @t2011)) % 0.93/1.16 (define @t2013 () (or @t2012 @t2010)) % 0.93/1.16 (define @t2014 () (not (= @t798 @t1164))) % 0.93/1.16 (define @t2015 () (or @t2012 @t2014)) % 0.93/1.16 (define @t2016 () (forall @t9 @t2015)) % 0.93/1.16 (define @t2017 () (not @t2016)) % 0.93/1.16 (define @t2018 () (forall @t9 (or @t1102 (not (= @t2 @t1164))))) % 0.93/1.16 (define @t2019 () (not @t2018)) % 0.93/1.16 (define @t2020 () (lambda @t64 @t2019)) % 0.93/1.16 (define @t2021 () (_ @t2020 @t798)) % 0.93/1.16 (define @t2022 () (=> @t688 @t2021)) % 0.93/1.16 (define @t2023 () (forall @t750 @t2022)) % 0.93/1.16 (define @t2024 () (not @t1071)) % 0.93/1.16 (define @t2025 () (or @t197 @t2024)) % 0.93/1.16 (define @t2026 () (forall @t9 (not @t1072))) % 0.93/1.16 (define @t2027 () (not @t2026)) % 0.93/1.16 (define @t2028 () (=> tptp.ksndsingleton @t1996)) % 0.93/1.16 (define @t2029 () (not @t775)) % 0.93/1.16 (define @t2030 () (or @t2029 @t785)) % 0.93/1.16 (define @t2031 () (=> tptp.setukpairinjR @t2028)) % 0.93/1.16 (define @t2032 () (_ tptp.setadjoin @t1164)) % 0.93/1.16 (define @t2033 () (not @t770)) % 0.93/1.16 (define @t2034 () (or @t2033 @t785)) % 0.93/1.16 (define @t2035 () (=> tptp.setukpairinjR2 @t2031)) % 0.93/1.16 (define @t2036 () (not @t789)) % 0.93/1.16 (define @t2037 () (or @t2036 @t129)) % 0.93/1.16 (define @t2038 () (=> tptp.upairequniteq @t2035)) % 0.93/1.16 (define @t2039 () (not true)) % 0.93/1.16 (define @t2040 () (not (= @t381 @t381))) % 0.93/1.16 (define @t2041 () (or @t1182 @t2040 @t785)) % 0.93/1.16 (define @t2042 () (not @t385)) % 0.93/1.16 (define @t2043 () (or @t2042 @t1179 @t2042 @t785)) % 0.93/1.16 (define @t2044 () (@list @t289)) % 0.93/1.16 (define @t2045 () (or @t1179 @t2042 @t785)) % 0.93/1.16 (define @t2046 () (forall @t2044 @t2045)) % 0.93/1.16 (define @t2047 () (forall @t1184 @t2046)) % 0.93/1.16 (define @t2048 () (forall (@list @t4 @t19 @t381 @t289) @t2045)) % 0.93/1.16 (define @t2049 () (or @t2033 @t2042 @t785)) % 0.93/1.16 (define @t2050 () (=> tptp.setukpairinjR1 @t2038)) % 0.93/1.16 (define @t2051 () (not (= @t19 @t19))) % 0.93/1.16 (define @t2052 () (or @t2051 @t1187)) % 0.93/1.16 (define @t2053 () (tptp.setadjoin @t1164 tptp.emptyset)) % 0.93/1.16 (define @t2054 () (= @t1178 @t2053)) % 0.93/1.16 (define @t2055 () (or @t282 @t282 @t2054)) % 0.93/1.16 (define @t2056 () (or @t282 @t2054)) % 0.93/1.16 (define @t2057 () (forall @t9 @t2056)) % 0.93/1.16 (define @t2058 () (forall @t70 @t2057)) % 0.93/1.16 (define @t2059 () (@list @t19 @t4)) % 0.93/1.16 (define @t2060 () (forall @t2059 @t2056)) % 0.93/1.16 (define @t2061 () (or @t282 @t782)) % 0.93/1.16 (define @t2062 () (=> tptp.setukpairinjR12 @t2050)) % 0.93/1.16 (define @t2063 () (or @t2051 @t1189)) % 0.93/1.16 (define @t2064 () (= @t1164 @t1176)) % 0.93/1.16 (define @t2065 () (or @t282 @t282 @t2064)) % 0.93/1.16 (define @t2066 () (or @t282 @t2064)) % 0.93/1.16 (define @t2067 () (forall @t9 @t2066)) % 0.93/1.16 (define @t2068 () (forall @t70 @t2067)) % 0.93/1.16 (define @t2069 () (forall @t2059 @t2066)) % 0.93/1.16 (define @t2070 () (= @t279 @t291)) % 0.93/1.16 (define @t2071 () (or @t282 @t2070)) % 0.93/1.16 (define @t2072 () (=> tptp.setukpairinjR11 @t2062)) % 0.93/1.16 (define @t2073 () (or @t2029 @t739)) % 0.93/1.16 (define @t2074 () (=> tptp.setukpairinjL @t2072)) % 0.93/1.16 (define @t2075 () (or @t2033 @t739)) % 0.93/1.16 (define @t2076 () (=> tptp.setukpairinjL2 @t2074)) % 0.93/1.16 (define @t2077 () (or @t1958 @t763)) % 0.93/1.16 (define @t2078 () (=> tptp.cartprodfstin @t2076)) % 0.93/1.16 (define @t2079 () (=> tptp.kfstpairEq @t2078)) % 0.93/1.16 (define @t2080 () (not (= @t1199 @t1199))) % 0.93/1.16 (define @t2081 () (or @t1201 @t1200 @t2080)) % 0.93/1.16 (define @t2082 () (not (= @t691 @t1199))) % 0.93/1.16 (define @t2083 () (not (tptp.in @t1198 @t691))) % 0.93/1.16 (define @t2084 () (tptp.setunion @t691)) % 0.93/1.16 (define @t2085 () (tptp.in @t2084 @t691)) % 0.93/1.16 (define @t2086 () (or @t2082 @t2085 @t2083 @t2082)) % 0.93/1.16 (define @t2087 () (or @t2085 @t2083 @t2082)) % 0.93/1.16 (define @t2088 () (forall @t695 @t2087)) % 0.93/1.16 (define @t2089 () (forall @t1203 @t2088)) % 0.93/1.16 (define @t2090 () (forall (@list @t1198 @t691) @t2087)) % 0.93/1.16 (define @t2091 () (@list @t691 @t1198)) % 0.93/1.16 (define @t2092 () (or @t2083 @t2082)) % 0.93/1.16 (define @t2093 () (or @t2092 @t2085)) % 0.93/1.16 (define @t2094 () (forall @t2091 @t2093)) % 0.93/1.16 (define @t2095 () (forall @t1203 @t2093)) % 0.93/1.16 (define @t2096 () (forall @t1203 @t2092)) % 0.93/1.16 (define @t2097 () (or @t2096 @t2085)) % 0.93/1.16 (define @t2098 () (forall @t9 (or @t1265 (not (= @t691 @t1164))))) % 0.93/1.16 (define @t2099 () (or @t2098 @t754)) % 0.93/1.16 (define @t2100 () (not @t2098)) % 0.93/1.16 (define @t2101 () (_ @t2020 @t691)) % 0.93/1.16 (define @t2102 () (=> @t2101 @t754)) % 0.93/1.16 (define @t2103 () (forall @t695 @t2102)) % 0.93/1.16 (define @t2104 () (=> tptp.theprop @t2079)) % 0.93/1.16 (define @t2105 () (or @t1993 @t1211)) % 0.93/1.16 (define @t2106 () (_ (_ tptp.setadjoin @t1205) tptp.emptyset)) % 0.93/1.16 (define @t2107 () (_ (_ tptp.in @t2106) @t381)) % 0.93/1.16 (define @t2108 () (lambda @t1208 @t2107)) % 0.93/1.16 (define @t2109 () (_ @t747 @t2108)) % 0.93/1.16 (define @t2110 () (= @t1164 @t2109)) % 0.93/1.16 (define @t2111 () (not @t2110)) % 0.93/1.16 (define @t2112 () (tptp.in @t4 @t2109)) % 0.93/1.16 (define @t2113 () (not @t2112)) % 0.93/1.16 (define @t2114 () (or @t2113 @t2111)) % 0.93/1.16 (define @t2115 () (= @t1164 @t748)) % 0.93/1.16 (define @t2116 () (not @t2115)) % 0.93/1.16 (define @t2117 () (tptp.in @t4 @t748)) % 0.93/1.16 (define @t2118 () (not @t2117)) % 0.93/1.16 (define @t2119 () (or @t2118 @t2116)) % 0.93/1.16 (define @t2120 () (not (= @t748 @t1164))) % 0.93/1.16 (define @t2121 () (or @t2118 @t2120)) % 0.93/1.16 (define @t2122 () (forall @t9 @t2121)) % 0.93/1.16 (define @t2123 () (not @t2122)) % 0.93/1.16 (define @t2124 () (_ @t2020 @t748)) % 0.93/1.16 (define @t2125 () (=> @t688 @t2124)) % 0.93/1.16 (define @t2126 () (forall @t750 @t2125)) % 0.93/1.16 (define @t2127 () (=> tptp.kfstsingleton @t2104)) % 0.93/1.16 (define @t2128 () (not @t742)) % 0.93/1.16 (define @t2129 () (or @t2128 @t739)) % 0.93/1.16 (define @t2130 () (=> tptp.setukpairinjL1 @t2127)) % 0.93/1.16 (define @t2131 () (not (= @t1175 @t1164))) % 0.93/1.16 (define @t2132 () (or @t2131 @t129)) % 0.93/1.16 (define @t2133 () (= @t275 @t279)) % 0.93/1.16 (define @t2134 () (not @t2133)) % 0.93/1.16 (define @t2135 () (or @t2134 @t129)) % 0.93/1.16 (define @t2136 () (=> tptp.singletonsuniq @t2130)) % 0.93/1.16 (define @t2137 () (or @t1218 @t1217)) % 0.93/1.16 (define @t2138 () (or @t1233 @t2137 @t1223)) % 0.93/1.16 (define @t2139 () (forall @t1235 @t2138)) % 0.93/1.16 (define @t2140 () (@list @t1216)) % 0.93/1.16 (define @t2141 () (forall @t2140 @t2138)) % 0.93/1.16 (define @t2142 () (forall @t2140 @t2137)) % 0.93/1.16 (define @t2143 () (or @t1233 @t2142 @t1223)) % 0.93/1.16 (define @t2144 () (or @t1233 @t1252 @t1223)) % 0.93/1.16 (define @t2145 () (not @t1253)) % 0.93/1.16 (define @t2146 () (=> @t1253 @t1223)) % 0.93/1.16 (define @t2147 () (@var "BOUND_VARIABLE_11423" $$unsorted)) % 0.93/1.16 (define @t2148 () (_ @t143 @t2147)) % 0.93/1.16 (define @t2149 () (@list @t2147)) % 0.93/1.16 (define @t2150 () (lambda @t2149 @t2148)) % 0.93/1.16 (define @t2151 () (tptp.dsetconstr @t2 @t2150)) % 0.93/1.16 (define @t2152 () (= @t1164 @t2151)) % 0.93/1.16 (define @t2153 () (not @t2152)) % 0.93/1.16 (define @t2154 () (tptp.in @t4 @t2151)) % 0.93/1.16 (define @t2155 () (not @t2154)) % 0.93/1.16 (define @t2156 () (or @t2155 @t2153)) % 0.93/1.16 (define @t2157 () (_ @t143 @t2147)) % 0.93/1.16 (define @t2158 () (lambda @t2149 @t2157)) % 0.93/1.16 (define @t2159 () (tptp.dsetconstr @t2 @t2158)) % 0.93/1.16 (define @t2160 () (= @t1164 @t2159)) % 0.93/1.16 (define @t2161 () (not @t2160)) % 0.93/1.16 (define @t2162 () (tptp.in @t4 @t2159)) % 0.93/1.16 (define @t2163 () (not @t2162)) % 0.93/1.16 (define @t2164 () (or @t2163 @t2161)) % 0.93/1.16 (define @t2165 () (tptp.dsetconstr @t2 @t145)) % 0.93/1.16 (define @t2166 () (= @t1164 @t2165)) % 0.93/1.16 (define @t2167 () (not @t2166)) % 0.93/1.16 (define @t2168 () (tptp.in @t4 @t2165)) % 0.93/1.16 (define @t2169 () (not @t2168)) % 0.93/1.16 (define @t2170 () (or @t2169 @t2167)) % 0.93/1.16 (define @t2171 () (forall @t9 @t2170)) % 0.93/1.16 (define @t2172 () (not @t2171)) % 0.93/1.16 (define @t2173 () (lambda @t150 @t1223)) % 0.93/1.16 (define @t2174 () (lambda @t309 @t1223)) % 0.93/1.16 (define @t2175 () (_ @t2174 @t2)) % 0.93/1.16 (define @t2176 () (or @t197 @t315)) % 0.93/1.16 (define @t2177 () (forall @t9 (not @t306))) % 0.93/1.16 (define @t2178 () (not @t2177)) % 0.93/1.16 (define @t2179 () (_ @t2175 @t145)) % 0.93/1.16 (define @t2180 () (=> @t307 @t2179)) % 0.93/1.16 (define @t2181 () (or @t1227 @t1226 @t1225)) % 0.93/1.16 (define @t2182 () (or @t1102 @t1229 @t2181)) % 0.93/1.16 (define @t2183 () (forall @t1231 @t2182)) % 0.93/1.16 (define @t2184 () (@list @t1224)) % 0.93/1.16 (define @t2185 () (forall @t2184 @t2182)) % 0.93/1.16 (define @t2186 () (forall @t2184 @t2181)) % 0.93/1.16 (define @t2187 () (or @t1102 @t1229 @t2186)) % 0.93/1.16 (define @t2188 () (or @t197 @t315 @t1246)) % 0.93/1.16 (define @t2189 () (or @t315 @t1246)) % 0.93/1.16 (define @t2190 () (not @t153)) % 0.93/1.16 (define @t2191 () (not @t21)) % 0.93/1.16 (define @t2192 () (or @t2191 @t2190 @t129)) % 0.93/1.16 (define @t2193 () (forall @t70 @t2192)) % 0.93/1.16 (define @t2194 () (or @t315 @t2193)) % 0.93/1.16 (define @t2195 () (or @t315 @t2192)) % 0.93/1.16 (define @t2196 () (or @t2191 @t315 @t2190 @t129)) % 0.93/1.16 (define @t2197 () (or @t315 @t2190 @t129)) % 0.93/1.16 (define @t2198 () (or @t2190 @t129)) % 0.93/1.16 (define @t2199 () (=> @t715 @t2180)) % 0.93/1.16 (define @t2200 () (forall @t309 @t2199)) % 0.93/1.16 (define @t2201 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 0.93/1.16 (define @t2202 () (_ @t143 @t2201)) % 0.93/1.16 (define @t2203 () (@list @t2201)) % 0.93/1.16 (define @t2204 () (lambda @t2203 @t2202)) % 0.93/1.16 (define @t2205 () (tptp.dsetconstr @t2 @t2204)) % 0.93/1.16 (define @t2206 () (= @t1164 @t2205)) % 0.93/1.16 (define @t2207 () (not @t2206)) % 0.93/1.16 (define @t2208 () (tptp.in @t4 @t2205)) % 0.93/1.16 (define @t2209 () (not @t2208)) % 0.93/1.16 (define @t2210 () (or @t2209 @t2207)) % 0.93/1.16 (define @t2211 () (_ @t143 @t2201)) % 0.93/1.16 (define @t2212 () (lambda @t2203 @t2211)) % 0.93/1.16 (define @t2213 () (_ @t155 @t2212)) % 0.93/1.16 (define @t2214 () (= @t1164 @t2213)) % 0.93/1.16 (define @t2215 () (not @t2214)) % 0.93/1.16 (define @t2216 () (tptp.in @t4 @t2213)) % 0.93/1.16 (define @t2217 () (not @t2216)) % 0.93/1.16 (define @t2218 () (or @t2217 @t2215)) % 0.93/1.16 (define @t2219 () (not (= @t2213 @t1164))) % 0.93/1.16 (define @t2220 () (or @t2217 @t2219)) % 0.93/1.16 (define @t2221 () (= @t304 @t1164)) % 0.93/1.16 (define @t2222 () (not @t2221)) % 0.93/1.16 (define @t2223 () (tptp.in @t4 @t304)) % 0.93/1.16 (define @t2224 () (not @t2223)) % 0.93/1.16 (define @t2225 () (or @t2224 @t2222)) % 0.93/1.16 (define @t2226 () (forall @t9 @t2225)) % 0.93/1.16 (define @t2227 () (not @t2226)) % 0.93/1.16 (define @t2228 () (_ @t2020 @t304)) % 0.93/1.16 (define @t2229 () (=> tptp.ex1I2 @t2136)) % 0.93/1.16 (define @t2230 () (or @t197 @t315 @t1247 @t1241)) % 0.93/1.16 (define @t2231 () (or @t315 @t1247 @t1241)) % 0.93/1.16 (define @t2232 () (=> @t1246 @t1241)) % 0.93/1.16 (define @t2233 () (=> @t144 @t2232)) % 0.93/1.16 (define @t2234 () (not (= @t1238 @t1219))) % 0.93/1.16 (define @t2235 () (or @t1239 @t2234)) % 0.93/1.16 (define @t2236 () (forall @t1240 @t2235)) % 0.93/1.16 (define @t2237 () (not @t2236)) % 0.93/1.16 (define @t2238 () (=> @t1246 @t2237)) % 0.93/1.16 (define @t2239 () (=> @t144 @t2238)) % 0.93/1.16 (define @t2240 () (=> @t7 @t2239)) % 0.93/1.16 (define @t2241 () (=> @t1246 @t1223)) % 0.93/1.16 (define @t2242 () (=> @t144 @t2241)) % 0.93/1.16 (define @t2243 () (=> @t7 @t2242)) % 0.93/1.16 (define @t2244 () (lambda @t70 @t1242)) % 0.93/1.16 (define @t2245 () (tptp.dsetconstr @t2 @t2244)) % 0.93/1.16 (define @t2246 () (= @t1164 @t2245)) % 0.93/1.16 (define @t2247 () (not @t2246)) % 0.93/1.16 (define @t2248 () (tptp.in @t4 @t2245)) % 0.93/1.16 (define @t2249 () (not @t2248)) % 0.93/1.16 (define @t2250 () (or @t2249 @t2247)) % 0.93/1.16 (define @t2251 () (tptp.dsetconstr @t2 @t154)) % 0.93/1.16 (define @t2252 () (= @t1164 @t2251)) % 0.93/1.16 (define @t2253 () (not @t2252)) % 0.93/1.16 (define @t2254 () (tptp.in @t4 @t2251)) % 0.93/1.16 (define @t2255 () (not @t2254)) % 0.93/1.16 (define @t2256 () (or @t2255 @t2253)) % 0.93/1.16 (define @t2257 () (forall @t9 @t2256)) % 0.93/1.16 (define @t2258 () (not @t2257)) % 0.93/1.16 (define @t2259 () (=> @t726 (_ @t2175 @t154))) % 0.93/1.16 (define @t2260 () (=> @t144 @t2259)) % 0.93/1.16 (define @t2261 () (=> @t7 @t2260)) % 0.93/1.16 (define @t2262 () (forall @t159 @t2261)) % 0.93/1.16 (define @t2263 () (=> tptp.ex1I @t2229)) % 0.93/1.16 (define @t2264 () (not (= @t1250 @t1219))) % 0.93/1.16 (define @t2265 () (or @t1253 @t1251 @t2264)) % 0.93/1.16 (define @t2266 () (or @t1251 @t2264)) % 0.93/1.16 (define @t2267 () (or @t2266 @t1253)) % 0.93/1.16 (define @t2268 () (forall @t1254 @t2267)) % 0.93/1.16 (define @t2269 () (@list @t1249)) % 0.93/1.16 (define @t2270 () (forall @t2269 @t2267)) % 0.93/1.16 (define @t2271 () (forall @t2269 @t2266)) % 0.93/1.16 (define @t2272 () (or @t2271 @t1253)) % 0.93/1.16 (define @t2273 () (=> @t2179 @t307)) % 0.93/1.16 (define @t2274 () (forall @t309 @t2273)) % 0.93/1.16 (define @t2275 () (=> tptp.ex1E1 @t2263)) % 0.93/1.16 (define @t2276 () (=> @t307 @t2228)) % 0.93/1.16 (define @t2277 () (=> @t715 @t2276)) % 0.93/1.16 (define @t2278 () (forall @t309 @t2277)) % 0.93/1.16 (define @t2279 () (=> tptp.singletonprop @t2275)) % 0.93/1.16 (define @t2280 () (= @t4 @t708)) % 0.93/1.16 (define @t2281 () (=> tptp.setunionsingleton @t2279)) % 0.93/1.16 (define @t2282 () (=> tptp.setunionsingleton2 @t2281)) % 0.93/1.16 (define @t2283 () (=> tptp.setunionsingleton1 @t2282)) % 0.93/1.16 (define @t2284 () (not @t44)) % 0.93/1.16 (define @t2285 () (or @t2284 @t1267)) % 0.93/1.16 (define @t2286 () (not @t692)) % 0.93/1.16 (define @t2287 () (not @t693)) % 0.93/1.16 (define @t2288 () (or @t2287 @t2286)) % 0.93/1.16 (define @t2289 () (forall @t695 (not @t694))) % 0.93/1.16 (define @t2290 () (not @t2289)) % 0.93/1.16 (define @t2291 () (=> tptp.setunionE2 @t2283)) % 0.93/1.16 (define @t2292 () (or @t1958 @t688)) % 0.93/1.16 (define @t2293 () (=> tptp.cartprodmempair @t2291)) % 0.93/1.16 (define @t2294 () (or @t1958 @t1278)) % 0.93/1.16 (define @t2295 () (or @t1275 @t1274)) % 0.93/1.16 (define @t2296 () (or @t1102 @t2295)) % 0.93/1.16 (define @t2297 () (forall @t1277 @t2296)) % 0.93/1.16 (define @t2298 () (@list @t1273)) % 0.93/1.16 (define @t2299 () (forall @t2298 @t2296)) % 0.93/1.16 (define @t2300 () (forall @t2298 @t2295)) % 0.93/1.16 (define @t2301 () (or @t1102 @t2300)) % 0.93/1.16 (define @t2302 () (forall @t70 (or @t1926 (not (= @t381 @t1094))))) % 0.93/1.16 (define @t2303 () (or @t197 @t2302)) % 0.93/1.16 (define @t2304 () (not @t2302)) % 0.93/1.16 (define @t2305 () (and @t7 @t2304)) % 0.93/1.16 (define @t2306 () (forall @t9 (not @t2305))) % 0.93/1.16 (define @t2307 () (not @t2306)) % 0.93/1.16 (define @t2308 () (not @t677)) % 0.93/1.16 (define @t2309 () (or @t1930 @t2308)) % 0.93/1.16 (define @t2310 () (forall @t70 (not @t678))) % 0.93/1.16 (define @t2311 () (not @t2310)) % 0.93/1.16 (define @t2312 () (=> tptp.cartprodmempair1 @t2293)) % 0.93/1.16 (define @t2313 () (or @t1282 @t1281)) % 0.93/1.16 (define @t2314 () (or @t1102 @t2313)) % 0.93/1.16 (define @t2315 () (forall @t1284 @t2314)) % 0.93/1.16 (define @t2316 () (@list @t1280)) % 0.93/1.16 (define @t2317 () (forall @t2316 @t2314)) % 0.93/1.16 (define @t2318 () (forall @t2316 @t2313)) % 0.93/1.16 (define @t2319 () (or @t1102 @t2318)) % 0.93/1.16 (define @t2320 () (forall @t70 (or @t1926 @t1145))) % 0.93/1.16 (define @t2321 () (or @t197 @t2320)) % 0.93/1.16 (define @t2322 () (or @t1930 @t672)) % 0.93/1.16 (define @t2323 () (=> tptp.cartprodpairin @t2312)) % 0.93/1.16 (define @t2324 () (or @t1291 @t1290)) % 0.93/1.16 (define @t2325 () (or @t1102 @t2324)) % 0.93/1.16 (define @t2326 () (forall @t1293 @t2325)) % 0.93/1.16 (define @t2327 () (@list @t1289)) % 0.93/1.16 (define @t2328 () (forall @t2327 @t2325)) % 0.93/1.16 (define @t2329 () (forall @t2327 @t2324)) % 0.93/1.16 (define @t2330 () (or @t1102 @t2329)) % 0.93/1.16 (define @t2331 () (tptp.in @t1094 @t1288)) % 0.93/1.16 (define @t2332 () (forall @t70 (or @t1926 @t2331))) % 0.93/1.16 (define @t2333 () (or @t197 @t2332)) % 0.93/1.16 (define @t2334 () (or @t1930 @t666)) % 0.93/1.16 (define @t2335 () (=> tptp.ubforcartprodlem3 @t2323)) % 0.93/1.16 (define @t2336 () (or @t1297 @t1296)) % 0.93/1.16 (define @t2337 () (or @t1102 @t2336)) % 0.93/1.16 (define @t2338 () (forall @t1299 @t2337)) % 0.93/1.16 (define @t2339 () (@list @t1295)) % 0.93/1.16 (define @t2340 () (forall @t2339 @t2337)) % 0.93/1.16 (define @t2341 () (forall @t2339 @t2336)) % 0.93/1.16 (define @t2342 () (or @t1102 @t2341)) % 0.93/1.16 (define @t2343 () (tptp.in @t1178 @t1288)) % 0.93/1.16 (define @t2344 () (forall @t70 (or @t1926 @t2343))) % 0.93/1.16 (define @t2345 () (or @t197 @t2344)) % 0.93/1.16 (define @t2346 () (or @t1930 @t660)) % 0.93/1.16 (define @t2347 () (=> tptp.ubforcartprodlem2 @t2335)) % 0.93/1.16 (define @t2348 () (or @t1303 @t1302)) % 0.93/1.16 (define @t2349 () (or @t1102 @t2348)) % 0.93/1.16 (define @t2350 () (forall @t1305 @t2349)) % 0.93/1.16 (define @t2351 () (@list @t1301)) % 0.93/1.16 (define @t2352 () (forall @t2351 @t2349)) % 0.93/1.16 (define @t2353 () (forall @t2351 @t2348)) % 0.93/1.16 (define @t2354 () (or @t1102 @t2353)) % 0.93/1.16 (define @t2355 () (tptp.subset @t1178 @t1287)) % 0.93/1.16 (define @t2356 () (forall @t70 (or @t1926 @t2355))) % 0.93/1.16 (define @t2357 () (or @t197 @t2356)) % 0.93/1.16 (define @t2358 () (or @t1930 @t654)) % 0.93/1.16 (define @t2359 () (=> tptp.ubforcartprodlem1 @t2347)) % 0.93/1.16 (define @t2360 () (or @t1309 @t1308)) % 0.93/1.16 (define @t2361 () (or @t1102 @t2360)) % 0.93/1.16 (define @t2362 () (forall @t1311 @t2361)) % 0.93/1.16 (define @t2363 () (@list @t1307)) % 0.93/1.16 (define @t2364 () (forall @t2363 @t2361)) % 0.93/1.16 (define @t2365 () (forall @t2363 @t2360)) % 0.93/1.16 (define @t2366 () (or @t1102 @t2365)) % 0.93/1.16 (define @t2367 () (tptp.in @t1176 @t1287)) % 0.93/1.16 (define @t2368 () (forall @t70 (or @t1926 @t2367))) % 0.93/1.16 (define @t2369 () (or @t197 @t2368)) % 0.93/1.16 (define @t2370 () (or @t1930 @t649)) % 0.93/1.16 (define @t2371 () (=> tptp.upairinpowunion @t2359)) % 0.93/1.16 (define @t2372 () (or @t1315 @t1314)) % 0.93/1.16 (define @t2373 () (or @t1102 @t2372)) % 0.93/1.16 (define @t2374 () (forall @t1317 @t2373)) % 0.93/1.16 (define @t2375 () (@list @t1313)) % 0.93/1.16 (define @t2376 () (forall @t2375 @t2373)) % 0.93/1.16 (define @t2377 () (forall @t2375 @t2372)) % 0.93/1.16 (define @t2378 () (or @t1102 @t2377)) % 0.93/1.16 (define @t2379 () (tptp.subset @t1176 @t1286)) % 0.93/1.16 (define @t2380 () (forall @t70 (or @t1926 @t2379))) % 0.93/1.16 (define @t2381 () (or @t197 @t2380)) % 0.93/1.16 (define @t2382 () (or @t1930 @t644)) % 0.93/1.16 (define @t2383 () (=> tptp.upairsubunion @t2371)) % 0.93/1.16 (define @t2384 () (not @t293)) % 0.93/1.16 (define @t2385 () (or @t2384 @t739 @t1319)) % 0.93/1.16 (define @t2386 () (or @t739 @t1319)) % 0.93/1.16 (define @t2387 () (=> tptp.upairset2E @t2383)) % 0.93/1.16 (define @t2388 () (_ tptp.in @t1164)) % 0.93/1.16 (define @t2389 () (or @t197 @t641)) % 0.93/1.16 (define @t2390 () (=> tptp.singletoninpowunion @t2387)) % 0.93/1.16 (define @t2391 () (or @t197 @t637)) % 0.93/1.16 (define @t2392 () (=> tptp.singletoninpowerset @t2390)) % 0.93/1.16 (define @t2393 () (or @t197 @t633)) % 0.93/1.16 (define @t2394 () (=> tptp.singletonsubset @t2392)) % 0.93/1.16 (define @t2395 () (=> tptp.kpairp @t2394)) % 0.93/1.16 (define @t2396 () (=> tptp.kpairiskpair @t2395)) % 0.93/1.16 (define @t2397 () (=> tptp.setukpairIR @t2396)) % 0.93/1.16 (define @t2398 () (=> tptp.setukpairIL @t2397)) % 0.93/1.16 (define @t2399 () (=> tptp.secondinupair @t2398)) % 0.93/1.16 (define @t2400 () (or @t7 @t6 @t609)) % 0.93/1.16 (define @t2401 () (not @t435)) % 0.93/1.16 (define @t2402 () (not @t197)) % 0.93/1.16 (define @t2403 () (=> tptp.symdiffIneg2 @t2399)) % 0.93/1.16 (define @t2404 () (or @t197 @t435 @t609)) % 0.93/1.16 (define @t2405 () (=> tptp.symdiffIneg1 @t2403)) % 0.93/1.16 (define @t2406 () (or @t7 @t435 @t599)) % 0.93/1.16 (define @t2407 () (=> tptp.symdiffI2 @t2405)) % 0.93/1.16 (define @t2408 () (or @t197 @t6 @t599)) % 0.93/1.16 (define @t2409 () (=> tptp.symdiffI1 @t2407)) % 0.93/1.16 (define @t2410 () (or @t609 @t1350 @t1349)) % 0.93/1.16 (define @t2411 () (or @t1350 @t1349)) % 0.93/1.16 (define @t2412 () (not false)) % 0.93/1.16 (define @t2413 () (and @t1102 @t1343 @t2412)) % 0.93/1.16 (define @t2414 () (and @t1101 @t1345 @t2412)) % 0.93/1.16 (define @t2415 () (or @t2414 @t2413)) % 0.93/1.16 (define @t2416 () (or @t2414 @t2413 false)) % 0.93/1.16 (define @t2417 () (not @t173)) % 0.93/1.16 (define @t2418 () (and @t1102 @t1343 @t2417)) % 0.93/1.16 (define @t2419 () (and @t1101 @t1345 @t2417)) % 0.93/1.16 (define @t2420 () (not (= @t173 false))) % 0.93/1.16 (define @t2421 () (or @t173 @t2419 @t2418 @t173)) % 0.93/1.16 (define @t2422 () (or @t2419 @t2418 @t173)) % 0.93/1.16 (define @t2423 () (and @t197 @t6 @t2417)) % 0.93/1.16 (define @t2424 () (and @t7 @t435 @t2417)) % 0.93/1.16 (define @t2425 () (or @t2424 @t2423 @t173)) % 0.93/1.16 (define @t2426 () (and @t6 @t2417)) % 0.93/1.16 (define @t2427 () (not @t498)) % 0.93/1.16 (define @t2428 () (=> tptp.symdiffE @t2409)) % 0.93/1.16 (define @t2429 () (= tptp.emptyset @t565)) % 0.93/1.16 (define @t2430 () (not @t2429)) % 0.93/1.16 (define @t2431 () (or @t2430 @t420)) % 0.93/1.16 (define @t2432 () (=> tptp.setminusSubset1 @t2428)) % 0.93/1.16 (define @t2433 () (=> tptp.setminusLsub @t2432)) % 0.93/1.16 (define @t2434 () (or @t435 @t578)) % 0.93/1.16 (define @t2435 () (=> tptp.setminusIRneg @t2433)) % 0.93/1.16 (define @t2436 () (or @t7 @t578)) % 0.93/1.16 (define @t2437 () (=> tptp.setminusILneg @t2435)) % 0.93/1.16 (define @t2438 () (or @t566 @t6 @t197)) % 0.93/1.16 (define @t2439 () (or @t6 @t197)) % 0.93/1.16 (define @t2440 () (not @t578)) % 0.93/1.16 (define @t2441 () (=> tptp.setminusELneg @t2437)) % 0.93/1.16 (define @t2442 () (or @t566 @t197 @t6)) % 0.93/1.16 (define @t2443 () (or @t197 @t6)) % 0.93/1.16 (define @t2444 () (=> tptp.setminusERneg @t2441)) % 0.93/1.16 (define @t2445 () (or @t439 @t2429)) % 0.93/1.16 (define @t2446 () (=> tptp.setminusSubset2 @t2444)) % 0.93/1.16 (define @t2447 () (or @t578 @t435)) % 0.93/1.16 (define @t2448 () (=> tptp.setminusER @t2446)) % 0.93/1.16 (define @t2449 () (or @t578 @t7)) % 0.93/1.16 (define @t2450 () (=> tptp.setminusEL @t2448)) % 0.93/1.16 (define @t2451 () (or @t197 @t6 @t566)) % 0.93/1.16 (define @t2452 () (=> tptp.setminusI @t2450)) % 0.93/1.16 (define @t2453 () (=> tptp.bs114d @t2452)) % 0.93/1.16 (define @t2454 () (= @t2 @t515)) % 0.93/1.16 (define @t2455 () (not @t2454)) % 0.93/1.16 (define @t2456 () (or @t2455 @t420)) % 0.93/1.16 (define @t2457 () (=> tptp.binintersectSubset1 @t2453)) % 0.93/1.16 (define @t2458 () (= @t1 @t515)) % 0.93/1.16 (define @t2459 () (not @t425)) % 0.93/1.16 (define @t2460 () (or @t2459 @t2458)) % 0.93/1.16 (define @t2461 () (=> tptp.binintersectSubset4 @t2457)) % 0.93/1.16 (define @t2462 () (_ tptp.subset @t1370)) % 0.93/1.16 (define @t2463 () (=> tptp.binintersectRsub @t2461)) % 0.93/1.16 (define @t2464 () (= tptp.emptyset @t515)) % 0.93/1.16 (define @t2465 () (or @t1384 @t2464)) % 0.93/1.16 (define @t2466 () (or @t197 @t435)) % 0.93/1.16 (define @t2467 () (forall @t9 (not @t543))) % 0.93/1.16 (define @t2468 () (not @t2467)) % 0.93/1.16 (define @t2469 () (=> tptp.disjointsetsI1 @t2463)) % 0.93/1.16 (define @t2470 () (not @t516)) % 0.93/1.16 (define @t2471 () (or @t2470 @t6)) % 0.93/1.16 (define @t2472 () (=> tptp.binintersectER @t2469)) % 0.93/1.16 (define @t2473 () (not @t2458)) % 0.93/1.16 (define @t2474 () (or @t2473 @t425)) % 0.93/1.16 (define @t2475 () (=> tptp.binintersectSubset3 @t2472)) % 0.93/1.16 (define @t2476 () (or @t439 @t2454)) % 0.93/1.16 (define @t2477 () (=> tptp.binintersectSubset2 @t2475)) % 0.93/1.16 (define @t2478 () (=> tptp.binintersectLsub @t2477)) % 0.93/1.16 (define @t2479 () (or @t2470 @t7)) % 0.93/1.16 (define @t2480 () (=> tptp.binintersectEL @t2478)) % 0.93/1.16 (define @t2481 () (not @t522)) % 0.93/1.16 (define @t2482 () (not @t524)) % 0.93/1.16 (define @t2483 () (or @t2482 @t2481 @t521)) % 0.93/1.16 (define @t2484 () (=> tptp.binintersectSubset5 @t2480)) % 0.93/1.16 (define @t2485 () (or @t197 @t435 @t516)) % 0.93/1.16 (define @t2486 () (=> tptp.binintersectI @t2484)) % 0.93/1.16 (define @t2487 () (=> tptp.binunionRsub @t2486)) % 0.93/1.16 (define @t2488 () (=> tptp.binunionLsub @t2487)) % 0.93/1.16 (define @t2489 () (not @t493)) % 0.93/1.16 (define @t2490 () (or @t2489 @t7 @t6)) % 0.93/1.16 (define @t2491 () (=> tptp.binunionE @t2488)) % 0.93/1.16 (define @t2492 () (and @t1343 @t2412)) % 0.93/1.16 (define @t2493 () (and @t1101 @t2412)) % 0.93/1.16 (define @t2494 () (or @t1404 @t2493 @t2492)) % 0.93/1.16 (define @t2495 () (or @t1404 @t2493 @t2492 false)) % 0.93/1.16 (define @t2496 () (and @t1343 @t2417)) % 0.93/1.16 (define @t2497 () (and @t1101 @t2417)) % 0.93/1.16 (define @t2498 () (or @t173 @t1404 @t2497 @t2496 @t173)) % 0.93/1.16 (define @t2499 () (or @t1404 @t2497 @t2496 @t173)) % 0.93/1.16 (define @t2500 () (forall @t179 @t2499)) % 0.93/1.16 (define @t2501 () (forall @t245 @t2500)) % 0.93/1.16 (define @t2502 () (and @t7 @t2417)) % 0.93/1.16 (define @t2503 () (or @t2489 @t2502 @t2426 @t173)) % 0.93/1.16 (define @t2504 () (or @t2502 @t2426 @t173)) % 0.93/1.16 (define @t2505 () (=> tptp.binunionEcases @t2491)) % 0.93/1.16 (define @t2506 () (or @t435 @t493)) % 0.93/1.16 (define @t2507 () (=> tptp.binunionIR @t2505)) % 0.93/1.16 (define @t2508 () (=> tptp.upairset2IR @t2507)) % 0.93/1.16 (define @t2509 () (or @t197 @t493)) % 0.93/1.16 (define @t2510 () (=> tptp.binunionIL @t2508)) % 0.93/1.16 (define @t2511 () (lambda @t9 @t1228)) % 0.93/1.16 (define @t2512 () (tptp.dsetconstr @t2 @t2511)) % 0.93/1.16 (define @t2513 () (tptp.subset @t2512 @t2)) % 0.93/1.16 (define @t2514 () (=> tptp.sepSubset @t2510)) % 0.93/1.16 (define @t2515 () (tptp.in @t2512 @t1324)) % 0.93/1.16 (define @t2516 () (=> tptp.sepInPowerset @t2514)) % 0.93/1.16 (define @t2517 () (or @t439 @t483)) % 0.93/1.16 (define @t2518 () (=> tptp.powersetsubset @t2516)) % 0.93/1.16 (define @t2519 () (=> tptp.inPowerset @t2518)) % 0.93/1.16 (define @t2520 () (not @t35)) % 0.93/1.16 (define @t2521 () (or @t2520 @t425)) % 0.93/1.16 (define @t2522 () (=> tptp.powersetE1 @t2519)) % 0.93/1.16 (define @t2523 () (or @t2459 @t35)) % 0.93/1.16 (define @t2524 () (=> tptp.powersetI1 @t2522)) % 0.93/1.16 (define @t2525 () (not @t473)) % 0.93/1.16 (define @t2526 () (or @t2525 @t196)) % 0.93/1.16 (define @t2527 () (=> tptp.subsetemptysetimpeq @t2524)) % 0.93/1.16 (define @t2528 () (or @t439 @t2459 @t3)) % 0.93/1.16 (define @t2529 () (=> tptp.setextsub @t2527)) % 0.93/1.16 (define @t2530 () (or @t439 @t467)) % 0.93/1.16 (define @t2531 () (=> tptp.subset2powerset @t2529)) % 0.93/1.16 (define @t2532 () (or @t439 @t463)) % 0.93/1.16 (define @t2533 () (=> tptp.setadjoinSub2 @t2531)) % 0.93/1.16 (define @t2534 () (=> tptp.setadjoinSub @t2533)) % 0.93/1.16 (define @t2535 () (not @t453)) % 0.93/1.16 (define @t2536 () (or @t439 @t2535 @t452)) % 0.93/1.16 (define @t2537 () (=> tptp.subsetTrans @t2534)) % 0.93/1.16 (define @t2538 () (=> tptp.subsetRefl @t2537)) % 0.93/1.16 (define @t2539 () (@list @t1 @t4)) % 0.93/1.16 (define @t2540 () (or @t1345 @t1343)) % 0.93/1.16 (define @t2541 () (not (= @t1 @t1))) % 0.93/1.16 (define @t2542 () (or @t1345 @t1343 @t2541)) % 0.93/1.16 (define @t2543 () (or @t443 @t1102 @t1343 @t443)) % 0.93/1.16 (define @t2544 () (or @t1102 @t1343 @t443)) % 0.93/1.16 (define @t2545 () (forall @t64 @t2544)) % 0.93/1.16 (define @t2546 () (forall @t2539 @t2545)) % 0.93/1.16 (define @t2547 () (forall (@list @t1 @t4 @t2) @t2544)) % 0.93/1.16 (define @t2548 () (or @t197 @t6 @t443)) % 0.93/1.16 (define @t2549 () (=> tptp.notequalI2 @t2538)) % 0.93/1.16 (define @t2550 () (or @t1435 @t2541)) % 0.93/1.16 (define @t2551 () (or @t443 @t1352 @t443)) % 0.93/1.16 (define @t2552 () (or @t1352 @t443)) % 0.93/1.16 (define @t2553 () (forall @t64 @t2552)) % 0.93/1.16 (define @t2554 () (forall @t41 @t2553)) % 0.93/1.16 (define @t2555 () (@list @t1 @t2)) % 0.93/1.16 (define @t2556 () (forall @t2555 @t2552)) % 0.93/1.16 (define @t2557 () (or @t420 @t443)) % 0.93/1.16 (define @t2558 () (=> tptp.notequalI1 @t2549)) % 0.93/1.16 (define @t2559 () (or @t197 @t6 @t439)) % 0.93/1.16 (define @t2560 () (=> tptp.notsubsetI @t2558)) % 0.93/1.16 (define @t2561 () (or @t439 @t6 @t197)) % 0.93/1.16 (define @t2562 () (=> tptp.subsetE2 @t2560)) % 0.93/1.16 (define @t2563 () (or @t439 @t197 @t6)) % 0.93/1.16 (define @t2564 () (=> tptp.subsetE @t2562)) % 0.93/1.16 (define @t2565 () (=> tptp.emptysetsubset @t2564)) % 0.93/1.16 (define @t2566 () (or @t1443 @t420)) % 0.93/1.16 (define @t2567 () (=> tptp.subsetI2 @t2565)) % 0.93/1.16 (define @t2568 () (or @t2541 @t1435)) % 0.93/1.16 (define @t2569 () (or @t443 @t443 @t1352)) % 0.93/1.16 (define @t2570 () (or @t443 @t1352)) % 0.93/1.16 (define @t2571 () (forall @t64 @t2570)) % 0.93/1.16 (define @t2572 () (forall @t41 @t2571)) % 0.93/1.16 (define @t2573 () (forall @t2555 @t2570)) % 0.93/1.16 (define @t2574 () (or @t443 @t420)) % 0.93/1.16 (define @t2575 () (=> tptp.eqimpsubset1 @t2567)) % 0.93/1.16 (define @t2576 () (or @t443 @t443 @t1378)) % 0.93/1.16 (define @t2577 () (or @t443 @t1378)) % 0.93/1.16 (define @t2578 () (forall @t64 @t2577)) % 0.93/1.16 (define @t2579 () (forall @t41 @t2578)) % 0.93/1.16 (define @t2580 () (forall @t2555 @t2577)) % 0.93/1.16 (define @t2581 () (or @t443 @t425)) % 0.93/1.16 (define @t2582 () (=> tptp.eqimpsubset2 @t2575)) % 0.93/1.16 (define @t2583 () (=> tptp.subsetI1 @t2582)) % 0.93/1.16 (define @t2584 () (or @t1345 @t1345 @t1450)) % 0.93/1.16 (define @t2585 () (forall @t9 @t2584)) % 0.93/1.16 (define @t2586 () (not @t2585)) % 0.93/1.16 (define @t2587 () (or @t2541 @t2586 (= @t1446 @t1448))) % 0.93/1.16 (define @t2588 () (= (tptp.dsetconstr @t2 @t1445) @t1448)) % 0.93/1.16 (define @t2589 () (not (forall @t9 (or @t1102 @t1345 @t1450)))) % 0.93/1.16 (define @t2590 () (or @t443 @t443 @t2589 @t2588)) % 0.93/1.16 (define @t2591 () (or @t443 @t2589 @t2588)) % 0.93/1.16 (define @t2592 () (forall @t64 @t2591)) % 0.93/1.16 (define @t2593 () (forall @t1454 @t2592)) % 0.93/1.16 (define @t2594 () (forall (@list @t1 @t1445 @t1447 @t2) @t2591)) % 0.93/1.16 (define @t2595 () (@list @t2 @t1 @t1445 @t1447)) % 0.93/1.16 (define @t2596 () (or @t2589 @t2588)) % 0.93/1.16 (define @t2597 () (or @t443 @t2596)) % 0.93/1.16 (define @t2598 () (forall @t2595 @t2597)) % 0.93/1.16 (define @t2599 () (@list @t1445 @t1447)) % 0.93/1.16 (define @t2600 () (forall @t2599 @t2597)) % 0.93/1.16 (define @t2601 () (forall @t2599 @t2596)) % 0.93/1.16 (define @t2602 () (or @t443 @t2601)) % 0.93/1.16 (define @t2603 () (= @t1228 @t1479)) % 0.93/1.16 (define @t2604 () (forall @t9 (or @t1102 @t1345 @t2603))) % 0.93/1.16 (define @t2605 () (not @t2604)) % 0.93/1.16 (define @t2606 () (forall @t376 (or @t2605 (= @t1219 (tptp.dsetconstr @t1 @t366))))) % 0.93/1.16 (define @t2607 () (lambda @t9 @t1479)) % 0.93/1.16 (define @t2608 () (tptp.dsetconstr @t1 @t2607)) % 0.93/1.16 (define @t2609 () (= @t2512 @t2608)) % 0.93/1.16 (define @t2610 () (or @t2605 @t2609)) % 0.93/1.16 (define @t2611 () (or @t2605 @t410)) % 0.93/1.16 (define @t2612 () (or @t197 @t1345 @t2603)) % 0.93/1.16 (define @t2613 () (or @t1345 @t2603)) % 0.93/1.16 (define @t2614 () (not (= @t4 @t4))) % 0.93/1.16 (define @t2615 () (or @t1345 @t2614 @t2603)) % 0.93/1.16 (define @t2616 () (= @t1228 @t1457)) % 0.93/1.16 (define @t2617 () (or @t282 @t1926 @t282 @t2616)) % 0.93/1.16 (define @t2618 () (or @t1926 @t282 @t2616)) % 0.93/1.16 (define @t2619 () (or @t1930 @t282 @t372)) % 0.93/1.16 (define @t2620 () (or @t282 @t372)) % 0.93/1.16 (define @t2621 () (=> tptp.dsetconstr__Cong @t2583)) % 0.93/1.16 (define @t2622 () (or @t1458 (= @t1456 @t19))) % 0.93/1.16 (define @t2623 () (forall @t70 @t2622)) % 0.93/1.16 (define @t2624 () (not @t2623)) % 0.93/1.16 (define @t2625 () (or @t1243 (= @t1460 @t19))) % 0.93/1.16 (define @t2626 () (forall @t70 @t2625)) % 0.93/1.16 (define @t2627 () (not @t2626)) % 0.93/1.16 (define @t2628 () (or @t1466 @t1463 @t1461 @t2627 @t1459 @t2624)) % 0.93/1.16 (define @t2629 () (or @t1459 @t2624)) % 0.93/1.16 (define @t2630 () (or @t1461 @t2627)) % 0.93/1.16 (define @t2631 () (or @t1466 @t2630 @t2629 @t1463)) % 0.93/1.16 (define @t2632 () (forall @t1467 @t2631)) % 0.93/1.16 (define @t2633 () (forall (@list @t1460 @t1456) @t2631)) % 0.93/1.16 (define @t2634 () (forall (@list @t1456) @t2629)) % 0.93/1.16 (define @t2635 () (forall (@list @t1460) @t2630)) % 0.93/1.16 (define @t2636 () (or @t1466 @t2635 @t2634 @t1463)) % 0.93/1.17 (define @t2637 () (tptp.descr @t2607)) % 0.93/1.17 (define @t2638 () (tptp.descr @t2511)) % 0.93/1.17 (define @t2639 () (= @t2638 @t2637)) % 0.93/1.17 (define @t2640 () (or @t1466 @t1484 @t1480 @t2639)) % 0.93/1.17 (define @t2641 () (or @t1466 @t1484 @t1480 @t402)) % 0.93/1.17 (define @t2642 () (or @t1484 @t1480 @t402)) % 0.93/1.17 (define @t2643 () (=> @t1481 @t402)) % 0.93/1.17 (define @t2644 () (not @t1485)) % 0.93/1.17 (define @t2645 () (=> @t1485 @t2643)) % 0.93/1.17 (define @t2646 () (not @t367)) % 0.93/1.17 (define @t2647 () (or @t2646 @t1478)) % 0.93/1.17 (define @t2648 () (not @t371)) % 0.93/1.17 (define @t2649 () (or @t2648 @t129)) % 0.93/1.17 (define @t2650 () (_ @t368 @t19)) % 0.93/1.17 (define @t2651 () (not @t2650)) % 0.93/1.17 (define @t2652 () (or @t2651 @t129)) % 0.93/1.17 (define @t2653 () (forall @t70 @t2652)) % 0.93/1.17 (define @t2654 () (not @t2653)) % 0.93/1.17 (define @t2655 () (_ @t368 @t4)) % 0.93/1.17 (define @t2656 () (not @t2655)) % 0.93/1.17 (define @t2657 () (or @t2656 @t2654)) % 0.93/1.17 (define @t2658 () (forall @t9 @t2657)) % 0.93/1.17 (define @t2659 () (not @t2658)) % 0.93/1.17 (define @t2660 () (lambda @t150 @t1485)) % 0.93/1.17 (define @t2661 () (_ @t2660 @t368)) % 0.93/1.17 (define @t2662 () (=> @t2661 @t402)) % 0.93/1.17 (define @t2663 () (or @t315 @t1483)) % 0.93/1.17 (define @t2664 () (_ @t145 @t19)) % 0.93/1.17 (define @t2665 () (not @t2664)) % 0.93/1.17 (define @t2666 () (or @t2665 @t129)) % 0.93/1.17 (define @t2667 () (forall @t70 @t2666)) % 0.93/1.17 (define @t2668 () (not @t2667)) % 0.93/1.17 (define @t2669 () (_ @t145 @t4)) % 0.93/1.17 (define @t2670 () (not @t2669)) % 0.93/1.17 (define @t2671 () (or @t2670 @t2668)) % 0.93/1.17 (define @t2672 () (forall @t9 @t2671)) % 0.93/1.17 (define @t2673 () (not @t2672)) % 0.93/1.17 (define @t2674 () (_ @t2660 @t145)) % 0.93/1.17 (define @t2675 () (=> @t2674 @t2662)) % 0.93/1.17 (define @t2676 () (or @t2051 @t1464)) % 0.93/1.17 (define @t2677 () (or @t282 @t282 @t2616)) % 0.93/1.17 (define @t2678 () (or @t282 @t2616)) % 0.93/1.17 (define @t2679 () (forall @t9 @t2678)) % 0.93/1.17 (define @t2680 () (forall @t70 @t2679)) % 0.93/1.17 (define @t2681 () (forall @t2059 @t2678)) % 0.93/1.17 (define @t2682 () (=> @t374 @t2675)) % 0.93/1.17 (define @t2683 () (forall @t376 @t2682)) % 0.93/1.17 (define @t2684 () (and @t144 @t1482)) % 0.93/1.17 (define @t2685 () (forall @t9 (not @t2684))) % 0.93/1.17 (define @t2686 () (not @t2685)) % 0.93/1.17 (define @t2687 () (=> tptp.descr__Cong @t2621)) % 0.93/1.17 (define @t2688 () (or @t1243 (= @t1474 @t19))) % 0.93/1.17 (define @t2689 () (forall @t70 @t2688)) % 0.93/1.17 (define @t2690 () (not @t2689)) % 0.93/1.17 (define @t2691 () (or @t1475 @t2690 @t1473 @t1472 @t1471)) % 0.93/1.17 (define @t2692 () (or @t1473 @t1472 @t1471)) % 0.93/1.17 (define @t2693 () (or @t1475 @t2690)) % 0.93/1.17 (define @t2694 () (or @t2693 @t2692)) % 0.93/1.17 (define @t2695 () (forall @t1476 @t2694)) % 0.93/1.17 (define @t2696 () (forall (@list @t1474 @t1470 @t1469) @t2694)) % 0.93/1.17 (define @t2697 () (forall (@list @t1470 @t1469) @t2692)) % 0.93/1.17 (define @t2698 () (forall (@list @t1474) @t2693)) % 0.93/1.17 (define @t2699 () (or @t2698 @t2697)) % 0.93/1.17 (define @t2700 () (=> @t2674 @t344)) % 0.93/1.17 (define @t2701 () (forall @t150 @t2700)) % 0.93/1.17 (define @t2702 () (=> tptp.exuEu @t2687)) % 0.93/1.17 (define @t2703 () (=> tptp.omega__Cong @t2702)) % 0.93/1.17 (define @t2704 () (tptp.setunion @t1)) % 0.93/1.17 (define @t2705 () (or @t2541 (= @t2704 @t2704))) % 0.93/1.17 (define @t2706 () (= @t1268 @t2704)) % 0.93/1.17 (define @t2707 () (or @t443 @t443 @t2706)) % 0.93/1.17 (define @t2708 () (or @t443 @t2706)) % 0.93/1.17 (define @t2709 () (forall @t64 @t2708)) % 0.93/1.17 (define @t2710 () (forall @t41 @t2709)) % 0.93/1.17 (define @t2711 () (forall @t2555 @t2708)) % 0.93/1.17 (define @t2712 () (or @t443 @t396)) % 0.93/1.17 (define @t2713 () (=> tptp.setunion__Cong @t2703)) % 0.93/1.17 (define @t2714 () (or @t2541 (= @t1410 @t1410))) % 0.93/1.17 (define @t2715 () (= @t1324 @t1410)) % 0.93/1.17 (define @t2716 () (or @t443 @t443 @t2715)) % 0.93/1.17 (define @t2717 () (or @t443 @t2715)) % 0.93/1.17 (define @t2718 () (forall @t64 @t2717)) % 0.93/1.17 (define @t2719 () (forall @t41 @t2718)) % 0.93/1.17 (define @t2720 () (forall @t2555 @t2717)) % 0.93/1.17 (define @t2721 () (or @t443 @t392)) % 0.93/1.17 (define @t2722 () (=> tptp.powerset__Cong @t2713)) % 0.93/1.17 (define @t2723 () (@var "BOUND_VARIABLE_10358" $$unsorted)) % 0.93/1.17 (define @t2724 () (@list @t19 @t2723)) % 0.93/1.17 (define @t2725 () (tptp.setadjoin @t19 @t2723)) % 0.93/1.17 (define @t2726 () (or @t2051 (= @t2725 @t2725))) % 0.93/1.17 (define @t2727 () (= @t2725 (tptp.setadjoin @t4 @t2723))) % 0.93/1.17 (define @t2728 () (or @t282 @t282 @t2727)) % 0.93/1.17 (define @t2729 () (or @t282 @t2727)) % 0.93/1.17 (define @t2730 () (forall @t9 @t2729)) % 0.93/1.17 (define @t2731 () (forall @t2724 @t2730)) % 0.93/1.17 (define @t2732 () (forall (@list @t19 @t2723 @t4) @t2729)) % 0.93/1.17 (define @t2733 () (forall (@list @t4 @t19 @t2723) @t2729)) % 0.93/1.17 (define @t2734 () (@list @t2723)) % 0.93/1.17 (define @t2735 () (forall @t2734 @t2729)) % 0.93/1.17 (define @t2736 () (forall @t2734 @t2727)) % 0.93/1.17 (define @t2737 () (or @t282 @t2736)) % 0.93/1.17 (define @t2738 () (tptp.setadjoin @t4 @t381)) % 0.93/1.17 (define @t2739 () (tptp.setadjoin @t19 @t381)) % 0.93/1.17 (define @t2740 () (= @t2739 @t2738)) % 0.93/1.17 (define @t2741 () (forall @t750 @t2740)) % 0.93/1.17 (define @t2742 () (or @t2040 (= @t2738 @t2739))) % 0.93/1.17 (define @t2743 () (tptp.setadjoin @t4 @t289)) % 0.93/1.17 (define @t2744 () (= @t2743 @t2739)) % 0.93/1.17 (define @t2745 () (or @t2042 @t2042 @t2744)) % 0.93/1.17 (define @t2746 () (or @t2042 @t2744)) % 0.93/1.17 (define @t2747 () (forall @t2044 @t2746)) % 0.93/1.17 (define @t2748 () (forall @t750 @t2747)) % 0.93/1.17 (define @t2749 () (forall (@list @t381 @t289) @t2746)) % 0.93/1.17 (define @t2750 () (or @t2042 @t384)) % 0.93/1.17 (define @t2751 () (=> tptp.setadjoin__Cong @t2722)) % 0.93/1.17 (define @t2752 () (=> tptp.emptyset__Cong @t2751)) % 0.93/1.17 (define @t2753 () (= @t2674 @t2661)) % 0.93/1.17 (define @t2754 () (=> @t374 @t2753)) % 0.93/1.17 (define @t2755 () (forall @t376 @t2754)) % 0.93/1.17 (define @t2756 () (=> tptp.exu__Cong @t2752)) % 0.93/1.17 (define @t2757 () (=> tptp.exuE3u @t2756)) % 0.93/1.17 (define @t2758 () (@var "BOUND_VARIABLE_10232" $$unsorted)) % 0.93/1.17 (define @t2759 () (@list @t1 @t2758)) % 0.93/1.17 (define @t2760 () (tptp.in @t2758 @t1)) % 0.93/1.17 (define @t2761 () (or @t2541 (= @t2760 @t2760))) % 0.93/1.17 (define @t2762 () (= (tptp.in @t2758 @t2) @t2760)) % 0.93/1.17 (define @t2763 () (or @t443 @t443 @t2762)) % 0.93/1.17 (define @t2764 () (or @t443 @t2762)) % 0.93/1.17 (define @t2765 () (forall @t64 @t2764)) % 0.93/1.17 (define @t2766 () (forall @t2759 @t2765)) % 0.93/1.17 (define @t2767 () (forall (@list @t1 @t2758 @t2) @t2764)) % 0.93/1.17 (define @t2768 () (forall (@list @t2 @t1 @t2758) @t2764)) % 0.93/1.17 (define @t2769 () (@list @t2758)) % 0.93/1.17 (define @t2770 () (forall @t2769 @t2764)) % 0.93/1.17 (define @t2771 () (forall @t2769 @t2762)) % 0.93/1.17 (define @t2772 () (or @t443 @t2771)) % 0.93/1.17 (define @t2773 () (= @t1244 @t1114)) % 0.93/1.17 (define @t2774 () (forall @t70 @t2773)) % 0.93/1.17 (define @t2775 () (or @t2051 @t2773)) % 0.93/1.17 (define @t2776 () (= @t1101 @t1114)) % 0.93/1.17 (define @t2777 () (or @t282 @t282 @t2776)) % 0.93/1.17 (define @t2778 () (or @t282 @t2776)) % 0.93/1.17 (define @t2779 () (forall @t9 @t2778)) % 0.93/1.17 (define @t2780 () (forall @t70 @t2779)) % 0.93/1.17 (define @t2781 () (forall @t2059 @t2778)) % 0.93/1.17 (define @t2782 () (or @t282 @t358)) % 0.93/1.17 (define @t2783 () (=> tptp.in__Cong @t2757)) % 0.93/1.17 (define @t2784 () (@var "BOUND_VARIABLE_10195" $$unsorted)) % 0.93/1.17 (define @t2785 () (@list @t1 @t2784)) % 0.93/1.17 (define @t2786 () (tptp.in @t2784 @t1)) % 0.93/1.17 (define @t2787 () (not @t2786)) % 0.93/1.17 (define @t2788 () (or @t2787 @t2786)) % 0.93/1.17 (define @t2789 () (or @t2541 @t2787 @t2786)) % 0.93/1.17 (define @t2790 () (not (tptp.in @t2784 @t2))) % 0.93/1.17 (define @t2791 () (or @t443 @t443 @t2790 @t2786)) % 0.93/1.17 (define @t2792 () (or @t443 @t2790 @t2786)) % 0.93/1.17 (define @t2793 () (forall @t64 @t2792)) % 0.93/1.17 (define @t2794 () (forall @t2785 @t2793)) % 0.93/1.17 (define @t2795 () (forall (@list @t1 @t2784 @t2) @t2792)) % 0.93/1.17 (define @t2796 () (@list @t2 @t1 @t2784)) % 0.93/1.17 (define @t2797 () (or @t2790 @t2786)) % 0.93/1.17 (define @t2798 () (or @t443 @t2797)) % 0.93/1.17 (define @t2799 () (forall @t2796 @t2798)) % 0.93/1.17 (define @t2800 () (@list @t2784)) % 0.93/1.17 (define @t2801 () (forall @t2800 @t2798)) % 0.93/1.17 (define @t2802 () (forall @t2800 @t2797)) % 0.93/1.17 (define @t2803 () (or @t443 @t2802)) % 0.93/1.17 (define @t2804 () (or @t1245 @t1114)) % 0.93/1.17 (define @t2805 () (forall @t70 @t2804)) % 0.93/1.17 (define @t2806 () (or @t2051 @t1245 @t1114)) % 0.93/1.17 (define @t2807 () (or @t282 @t282 @t1102 @t1114)) % 0.93/1.17 (define @t2808 () (or @t282 @t1102 @t1114)) % 0.93/1.17 (define @t2809 () (forall @t9 @t2808)) % 0.93/1.17 (define @t2810 () (forall @t70 @t2809)) % 0.93/1.17 (define @t2811 () (forall @t2059 @t2808)) % 0.93/1.17 (define @t2812 () (or @t282 @t197 @t352)) % 0.93/1.17 (define @t2813 () (=> tptp.inCongP @t2783)) % 0.93/1.17 (define @t2814 () (= @t1488 @t19)) % 0.93/1.17 (define @t2815 () (forall @t70 (= @t2814 @t1242))) % 0.93/1.17 (define @t2816 () (not @t2815)) % 0.93/1.17 (define @t2817 () (or @t2816 @t1485)) % 0.93/1.17 (define @t2818 () (forall @t1489 @t2817)) % 0.93/1.17 (define @t2819 () (@list @t1488)) % 0.93/1.17 (define @t2820 () (forall @t2819 @t2817)) % 0.93/1.17 (define @t2821 () (forall @t2819 @t2816)) % 0.93/1.17 (define @t2822 () (or @t2821 @t1485)) % 0.93/1.17 (define @t2823 () (= @t153 @t129)) % 0.93/1.17 (define @t2824 () (=> @t265 @t2674)) % 0.93/1.17 (define @t2825 () (forall @t150 @t2824)) % 0.93/1.17 (define @t2826 () (=> tptp.exuI2 @t2813)) % 0.93/1.17 (define @t2827 () (@list @t1493)) % 0.93/1.17 (define @t2828 () (forall @t2827 @t1495)) % 0.93/1.17 (define @t2829 () (forall @t2827 @t1494)) % 0.93/1.17 (define @t2830 () (or @t2829 @t1492 @t1485)) % 0.93/1.17 (define @t2831 () (or @t1602 @t1492 @t1485)) % 0.93/1.17 (define @t2832 () (=> @t1491 @t1485)) % 0.93/1.17 (define @t2833 () (=> @t344 @t2674)) % 0.93/1.17 (define @t2834 () (forall @t9 @t315)) % 0.93/1.17 (define @t2835 () (not @t2834)) % 0.93/1.17 (define @t2836 () (=> @t186 @t2833)) % 0.93/1.17 (define @t2837 () (forall @t150 @t2836)) % 0.93/1.17 (define @t2838 () (=> tptp.exuI3 @t2826)) % 0.93/1.17 (define @t2839 () (=> @t169 @t2674)) % 0.93/1.17 (define @t2840 () (forall @t150 @t2839)) % 0.93/1.17 (define @t2841 () (=> tptp.exuI1 @t2838)) % 0.93/1.17 (define @t2842 () (forall @t9 (or @t1102 @t1228))) % 0.93/1.17 (define @t2843 () (not @t2842)) % 0.93/1.17 (define @t2844 () (or @t197 @t144)) % 0.93/1.17 (define @t2845 () (forall @t9 (not @t316))) % 0.93/1.17 (define @t2846 () (not @t2845)) % 0.93/1.17 (define @t2847 () (=> tptp.notdallE @t2841)) % 0.93/1.17 (define @t2848 () (=> tptp.notdexE @t2847)) % 0.93/1.17 (define @t2849 () (or @t2039 @t1499)) % 0.93/1.17 (define @t2850 () (tptp.prop2set @t173)) % 0.93/1.17 (define @t2851 () (tptp.set2prop @t2850)) % 0.93/1.17 (define @t2852 () (not (= @t173 true))) % 0.93/1.17 (define @t2853 () (or @t2417 @t2417 @t2851)) % 0.93/1.17 (define @t2854 () (or @t2417 @t2851)) % 0.93/1.17 (define @t2855 () (or @t2417 @t337)) % 0.93/1.17 (define @t2856 () (=> tptp.prop2set2propI @t2848)) % 0.93/1.17 (define @t2857 () (or @t2039 @t1501)) % 0.93/1.17 (define @t2858 () (tptp.in tptp.emptyset @t2850)) % 0.93/1.17 (define @t2859 () (or @t2417 @t2417 @t2858)) % 0.93/1.17 (define @t2860 () (or @t2417 @t2858)) % 0.93/1.17 (define @t2861 () (or @t2417 @t334)) % 0.93/1.17 (define @t2862 () (=> tptp.prop2setI @t2856)) % 0.93/1.17 (define @t2863 () (=> tptp.quantDeMorgan4 @t2862)) % 0.93/1.17 (define @t2864 () (=> tptp.quantDeMorgan3 @t2863)) % 0.93/1.17 (define @t2865 () (=> tptp.quantDeMorgan2 @t2864)) % 0.93/1.17 (define @t2866 () (=> tptp.quantDeMorgan1 @t2865)) % 0.93/1.17 (define @t2867 () (or @t16 @t144)) % 0.93/1.17 (define @t2868 () (=> tptp.vacuousDall @t2866)) % 0.93/1.17 (define @t2869 () (or @t1509 @t1508)) % 0.93/1.17 (define @t2870 () (or @t2869 @t1510)) % 0.93/1.17 (define @t2871 () (forall @t1512 @t2870)) % 0.93/1.17 (define @t2872 () (@list @t1507)) % 0.93/1.17 (define @t2873 () (forall @t2872 @t2870)) % 0.93/1.17 (define @t2874 () (forall @t2872 @t2869)) % 0.93/1.17 (define @t2875 () (or @t2874 @t1510)) % 0.93/1.17 (define @t2876 () (= tptp.emptyset @t2512)) % 0.93/1.17 (define @t2877 () (not @t2876)) % 0.93/1.17 (define @t2878 () (or @t1252 @t2877)) % 0.93/1.17 (define @t2879 () (= tptp.emptyset @t304)) % 0.93/1.17 (define @t2880 () (not @t2879)) % 0.93/1.17 (define @t2881 () (or @t1252 @t2880)) % 0.93/1.17 (define @t2882 () (=> tptp.emptyE1 @t2868)) % 0.93/1.17 (define @t2883 () (=> tptp.upairsetIR @t2882)) % 0.93/1.17 (define @t2884 () (=> tptp.upairsetIL @t2883)) % 0.93/1.17 (define @t2885 () (=> tptp.upairsetE @t2884)) % 0.93/1.17 (define @t2886 () (not @t276)) % 0.93/1.17 (define @t2887 () (or @t2886 @t280)) % 0.93/1.17 (define @t2888 () (=> tptp.singletonsswitch @t2885)) % 0.93/1.17 (define @t2889 () (or @t2051 @t1525)) % 0.93/1.17 (define @t2890 () (or @t282 @t282 @t1521)) % 0.93/1.17 (define @t2891 () (or @t282 @t1521)) % 0.93/1.17 (define @t2892 () (forall @t9 @t2891)) % 0.93/1.17 (define @t2893 () (forall @t70 @t2892)) % 0.93/1.17 (define @t2894 () (forall @t2059 @t2891)) % 0.93/1.17 (define @t2895 () (or @t282 @t276)) % 0.93/1.17 (define @t2896 () (=> tptp.eqinunit @t2888)) % 0.93/1.17 (define @t2897 () (or @t129 @t281)) % 0.93/1.17 (define @t2898 () (=> tptp.notinsingleton @t2896)) % 0.93/1.17 (define @t2899 () (or @t2886 @t129)) % 0.93/1.17 (define @t2900 () (=> tptp.uniqinunit @t2898)) % 0.93/1.17 (define @t2901 () (not @t196)) % 0.93/1.17 (define @t2902 () (not @t198)) % 0.93/1.17 (define @t2903 () (_ @t1070 @t2)) % 0.93/1.17 (define @t2904 () (=> @t2903 @t270)) % 0.93/1.17 (define @t2905 () (forall @t64 @t2904)) % 0.93/1.17 (define @t2906 () (=> tptp.nonemptyImpWitness @t2900)) % 0.93/1.17 (define @t2907 () (or @t1243 (= @t1536 @t19))) % 0.93/1.17 (define @t2908 () (forall @t70 @t2907)) % 0.93/1.17 (define @t2909 () (not @t2908)) % 0.93/1.17 (define @t2910 () (or @t1540 @t1537 @t2909)) % 0.93/1.17 (define @t2911 () (or @t1537 @t2909)) % 0.93/1.17 (define @t2912 () (or @t2911 @t1540)) % 0.93/1.17 (define @t2913 () (forall @t1541 @t2912)) % 0.93/1.17 (define @t2914 () (@list @t1536)) % 0.93/1.17 (define @t2915 () (forall @t2914 @t2912)) % 0.93/1.17 (define @t2916 () (forall @t2914 @t2911)) % 0.93/1.17 (define @t2917 () (or @t2916 @t1540)) % 0.93/1.17 (define @t2918 () (=> @t2674 @t265)) % 0.93/1.17 (define @t2919 () (forall @t150 @t2918)) % 0.93/1.17 (define @t2920 () (=> tptp.exuE2 @t2906)) % 0.93/1.17 (define @t2921 () (or @t197 @t260)) % 0.93/1.17 (define @t2922 () (=> tptp.subPowSU @t2920)) % 0.93/1.17 (define @t2923 () (or @t2284 @t1551)) % 0.93/1.17 (define @t2924 () (and @t2412 @t1551)) % 0.93/1.17 (define @t2925 () (or @t2924 false)) % 0.93/1.17 (define @t2926 () (and @t2417 @t1551)) % 0.93/1.17 (define @t2927 () (or @t173 @t2926 @t173)) % 0.93/1.17 (define @t2928 () (or @t2926 @t173)) % 0.93/1.17 (define @t2929 () (or @t173 @t1550)) % 0.93/1.17 (define @t2930 () (not @t39)) % 0.93/1.17 (define @t2931 () (or @t435 @t2930)) % 0.93/1.17 (define @t2932 () (forall @t41 @t2931)) % 0.93/1.17 (define @t2933 () (or @t173 @t2932)) % 0.93/1.17 (define @t2934 () (or @t173 @t2931)) % 0.93/1.17 (define @t2935 () (or @t435 @t2930 @t173)) % 0.93/1.17 (define @t2936 () (=> tptp.setunionE @t2922)) % 0.93/1.17 (define @t2937 () (or @t435 @t2930 @t44)) % 0.93/1.17 (define @t2938 () (=> tptp.setunionI @t2936)) % 0.93/1.17 (define @t2939 () (or @t2520 @t435 @t7)) % 0.93/1.17 (define @t2940 () (or @t435 @t7)) % 0.93/1.17 (define @t2941 () (=> tptp.powersetE @t2938)) % 0.93/1.17 (define @t2942 () (=> tptp.emptyInPowerset @t2941)) % 0.93/1.17 (define @t2943 () (=> tptp.emptyinPowerset @t2942)) % 0.93/1.17 (define @t2944 () (or @t1563 @t35)) % 0.93/1.17 (define @t2945 () (=> tptp.powersetI @t2943)) % 0.93/1.17 (define @t2946 () (_ @t155 @t1567)) % 0.93/1.17 (define @t2947 () (= @t2 @t2946)) % 0.93/1.17 (define @t2948 () (=> tptp.setoftrueEq @t2945)) % 0.93/1.17 (define @t2949 () (not @t26)) % 0.93/1.17 (define @t2950 () (or @t2949 @t129 @t21)) % 0.93/1.17 (define @t2951 () (or @t129 @t21)) % 0.93/1.17 (define @t2952 () (=> tptp.setadjoinOr @t2948)) % 0.93/1.17 (define @t2953 () (or @t2949 @t129 @t1244)) % 0.93/1.17 (define @t2954 () (and @t1244 @t2412)) % 0.93/1.17 (define @t2955 () (and @t129 @t2412)) % 0.93/1.17 (define @t2956 () (or @t2955 @t2954)) % 0.93/1.17 (define @t2957 () (or @t2955 @t2954 false)) % 0.93/1.17 (define @t2958 () (and @t1244 @t2417)) % 0.93/1.17 (define @t2959 () (and @t129 @t2417)) % 0.93/1.17 (define @t2960 () (or @t173 @t2959 @t2958 @t173)) % 0.93/1.17 (define @t2961 () (or @t2959 @t2958 @t173)) % 0.93/1.17 (define @t2962 () (and @t21 @t2417)) % 0.93/1.17 (define @t2963 () (or @t2959 @t2962 @t173)) % 0.93/1.17 (define @t2964 () (=> @t129 @t173)) % 0.93/1.17 (define @t2965 () (=> tptp.setadjoinE @t2952)) % 0.93/1.17 (define @t2966 () (or @t2191 @t26)) % 0.93/1.17 (define @t2967 () (=> tptp.setadjoinIR @t2965)) % 0.93/1.17 (define @t2968 () (=> tptp.emptyinunitempty @t2967)) % 0.93/1.17 (define @t2969 () (=> tptp.setadjoinIL @t2968)) % 0.93/1.17 (define @t2970 () (not @t379)) % 0.93/1.17 (define @t2971 () (or @t1585 @t2970)) % 0.93/1.17 (define @t2972 () (not (tptp.in @t1584 @t2))) % 0.93/1.17 (define @t2973 () (or @t2901 @t2972 @t2901)) % 0.93/1.17 (define @t2974 () (or @t2972 @t2901)) % 0.93/1.17 (define @t2975 () (forall @t64 @t2974)) % 0.93/1.17 (define @t2976 () (forall @t1586 @t2975)) % 0.93/1.17 (define @t2977 () (forall (@list @t1584 @t2) @t2974)) % 0.93/1.17 (define @t2978 () (forall (@list @t2 @t1584) @t2974)) % 0.93/1.17 (define @t2979 () (forall @t1586 @t2974)) % 0.93/1.17 (define @t2980 () (forall @t1586 @t2972)) % 0.93/1.17 (define @t2981 () (or @t2980 @t2901)) % 0.93/1.17 (define @t2982 () (not @t1533)) % 0.93/1.17 (define @t2983 () (=> @t89 @t2903)) % 0.93/1.17 (define @t2984 () (forall @t64 @t2983)) % 0.93/1.17 (define @t2985 () (=> tptp.nonemptyI1 @t2969)) % 0.93/1.17 (define @t2986 () (= tptp.emptyset @t2245)) % 0.93/1.17 (define @t2987 () (not @t2986)) % 0.93/1.17 (define @t2988 () (or @t1102 @t1229 @t2987)) % 0.93/1.17 (define @t2989 () (= tptp.emptyset @t156)) % 0.93/1.17 (define @t2990 () (not @t2989)) % 0.93/1.17 (define @t2991 () (or @t197 @t315 @t2990)) % 0.93/1.17 (define @t2992 () (=> @t144 @t2990)) % 0.93/1.17 (define @t2993 () (not (= @t156 tptp.emptyset))) % 0.93/1.17 (define @t2994 () (_ @t1070 @t156)) % 0.93/1.17 (define @t2995 () (=> @t144 @t2994)) % 0.93/1.17 (define @t2996 () (=> @t7 @t2995)) % 0.93/1.17 (define @t2997 () (forall @t159 @t2996)) % 0.93/1.17 (define @t2998 () (=> tptp.nonemptyI @t2985)) % 0.93/1.17 (define @t2999 () (=> @t2903 @t89)) % 0.93/1.17 (define @t3000 () (forall @t64 @t2999)) % 0.93/1.17 (define @t3001 () (=> tptp.nonemptyE1 @t2998)) % 0.93/1.17 (define @t3002 () (= @t1228 @t2248)) % 0.93/1.17 (define @t3003 () (or @t1102 @t3002)) % 0.93/1.17 (define @t3004 () (= @t144 @t157)) % 0.93/1.17 (define @t3005 () (or @t197 @t3004)) % 0.93/1.17 (define @t3006 () (=> tptp.setbeta @t3001)) % 0.93/1.17 (define @t3007 () (=> tptp.noeltsimpempty @t3006)) % 0.93/1.17 (define @t3008 () (=> tptp.emptyI @t3007)) % 0.93/1.17 (define @t3009 () (=> @t1562 @t3)) % 0.93/1.17 (define @t3010 () (=> tptp.setext @t3008)) % 0.93/1.17 (define @t3011 () (or @t1243 (= @t1600 @t19))) % 0.93/1.17 (define @t3012 () (forall @t70 @t3011)) % 0.93/1.17 (define @t3013 () (not @t3012)) % 0.93/1.17 (define @t3014 () (or @t1603 @t1601 @t3013)) % 0.93/1.17 (define @t3015 () (or @t1601 @t3013)) % 0.93/1.17 (define @t3016 () (or @t3015 @t1603)) % 0.93/1.17 (define @t3017 () (forall @t1604 @t3016)) % 0.93/1.17 (define @t3018 () (@list @t1600)) % 0.93/1.17 (define @t3019 () (forall @t3018 @t3016)) % 0.93/1.17 (define @t3020 () (forall @t3018 @t3015)) % 0.93/1.17 (define @t3021 () (or @t3020 @t1603)) % 0.93/1.17 (define @t3022 () (=> @t2674 @t186)) % 0.93/1.17 (define @t3023 () (forall @t150 @t3022)) % 0.93/1.17 (define @t3024 () (=> tptp.exuE3e @t3010)) % 0.93/1.17 (define @t3025 () (=> tptp.notinemptyset @t3024)) % 0.93/1.17 (define @t3026 () (=> tptp.emptysetimpfalse @t3025)) % 0.93/1.17 (define @t3027 () (or @t173 @t173)) % 0.93/1.17 (define @t3028 () (=> tptp.emptysetE @t3026)) % 0.93/1.17 (define @t3029 () (or @t1611 false)) % 0.93/1.17 (define @t3030 () (tptp.in @t4 @t2850)) % 0.93/1.17 (define @t3031 () (not @t3030)) % 0.93/1.17 (define @t3032 () (or @t173 @t3031 @t173)) % 0.93/1.17 (define @t3033 () (or @t3031 @t173)) % 0.93/1.17 (define @t3034 () (forall @t179 @t3033)) % 0.93/1.17 (define @t3035 () (forall @t9 @t3034)) % 0.93/1.17 (define @t3036 () (forall (@list @t4 @t173) @t3033)) % 0.93/1.17 (define @t3037 () (not @t175)) % 0.93/1.17 (define @t3038 () (or @t3037 @t173)) % 0.93/1.17 (define @t3039 () (=> tptp.prop2setE @t3028)) % 0.93/1.17 (define @t3040 () (=> @t2674 @t169)) % 0.93/1.17 (define @t3041 () (forall @t150 @t3040)) % 0.93/1.17 (define @t3042 () (=> tptp.exuE1 @t3039)) % 0.93/1.17 (define @t3043 () (or @t2249 @t1228)) % 0.93/1.17 (define @t3044 () (not @t157)) % 0.93/1.17 (define @t3045 () (or @t3044 @t144)) % 0.93/1.17 (define @t3046 () (=> tptp.dsetconstrER @t3042)) % 0.93/1.17 (define @t3047 () (or @t2249 @t1101)) % 0.93/1.17 (define @t3048 () (or @t3044 @t7)) % 0.93/1.17 (define @t3049 () (=> tptp.dsetconstrEL @t3046)) % 0.93/1.17 (define @t3050 () (or @t1102 @t1229 @t2248)) % 0.93/1.17 (define @t3051 () (or @t197 @t315 @t157)) % 0.93/1.17 (define @t3052 () (=> tptp.dsetconstrI @t3049)) % 0.93/1.17 (define @t3053 () (or @t1243 (= @t1620 @t19))) % 0.93/1.17 (define @t3054 () (forall @t70 @t3053)) % 0.93/1.17 (define @t3055 () (not @t3054)) % 0.93/1.17 (define @t3056 () (or @t1622 @t1621 @t3055)) % 0.93/1.17 (define @t3057 () (or @t1621 @t3055)) % 0.93/1.17 (define @t3058 () (or @t3057 @t1622)) % 0.93/1.17 (define @t3059 () (forall @t1623 @t3058)) % 0.93/1.17 (define @t3060 () (@list @t1620)) % 0.93/1.17 (define @t3061 () (forall @t3060 @t3058)) % 0.93/1.17 (define @t3062 () (forall @t3060 @t3057)) % 0.93/1.17 (define @t3063 () (or @t3062 @t1622)) % 0.93/1.17 (define @t3064 () (_ @t143 @t2638)) % 0.93/1.17 (define @t3065 () (or @t1484 @t3064)) % 0.93/1.17 (define @t3066 () (or @t1484 @t147)) % 0.93/1.17 (define @t3067 () (=> @t2674 @t147)) % 0.93/1.17 (define @t3068 () (forall @t150 @t3067)) % 0.93/1.17 (define @t3069 () (=> tptp.descrp @t3052)) % 0.93/1.17 (define @t3070 () (and @t1673 @t1666 @t1662 @t1650)) % 0.93/1.17 (define @t3071 () (forall @t41 (not @t3070))) % 0.93/1.17 (define @t3072 () (not @t3071)) % 0.93/1.17 (define @t3073 () (@list @t1645)) % 0.93/1.17 (define @t3074 () (forall @t3073 @t1649)) % 0.93/1.17 (define @t3075 () (forall @t3073 @t1646)) % 0.93/1.17 (define @t3076 () (or @t1648 @t3075 @t1644)) % 0.93/1.17 (define @t3077 () (forall @t9 @t1641)) % 0.93/1.17 (define @t3078 () (or @t1648 @t3077 @t1644)) % 0.93/1.17 (define @t3079 () (not @t3077)) % 0.93/1.17 (define @t3080 () (and @t1647 @t3079)) % 0.93/1.17 (define @t3081 () (not @t109)) % 0.93/1.17 (define @t3082 () (not @t110)) % 0.93/1.17 (define @t3083 () (or @t3082 @t3081 @t1639 @t1635)) % 0.93/1.17 (define @t3084 () (and @t110 @t109 @t1638 @t1634)) % 0.93/1.17 (define @t3085 () (forall @t112 (not @t3084))) % 0.93/1.17 (define @t3086 () (not @t3085)) % 0.93/1.17 (define @t3087 () (or @t1628 @t1627)) % 0.93/1.17 (define @t3088 () (or @t1631 @t3087 @t1629)) % 0.93/1.17 (define @t3089 () (forall @t1633 @t3088)) % 0.93/1.17 (define @t3090 () (@list @t1626)) % 0.93/1.17 (define @t3091 () (forall @t3090 @t3088)) % 0.93/1.17 (define @t3092 () (forall @t3090 @t3087)) % 0.93/1.17 (define @t3093 () (or @t1631 @t3092 @t1629)) % 0.93/1.17 (define @t3094 () (tptp.in @t19 @t93)) % 0.93/1.17 (define @t3095 () (forall @t70 (or (not @t3094) @t1637))) % 0.93/1.17 (define @t3096 () (not @t100)) % 0.93/1.17 (define @t3097 () (or @t3096 @t3095 @t94)) % 0.93/1.17 (define @t3098 () (or @t3095 @t94)) % 0.93/1.17 (define @t3099 () (not @t97)) % 0.93/1.17 (define @t3100 () (or @t3099 @t96)) % 0.93/1.17 (define @t3101 () (not @t105)) % 0.93/1.17 (define @t3102 () (not @t96)) % 0.93/1.17 (define @t3103 () (or @t3102 @t3101)) % 0.93/1.17 (define @t3104 () (forall @t70 (not @t106))) % 0.93/1.17 (define @t3105 () (not @t3104)) % 0.93/1.17 (define @t3106 () (forall @t9 @t3081)) % 0.93/1.17 (define @t3107 () (not @t3106)) % 0.93/1.17 (define @t3108 () (or @t3081 @t7)) % 0.93/1.17 (define @t3109 () (or @t1654 @t1653)) % 0.93/1.17 (define @t3110 () (or @t1657 @t1656)) % 0.93/1.17 (define @t3111 () (or @t1659 @t1643 @t3110 @t3109)) % 0.93/1.17 (define @t3112 () (forall @t1661 @t3111)) % 0.93/1.17 (define @t3113 () (forall (@list @t1655 @t1652) @t3111)) % 0.93/1.17 (define @t3114 () (forall (@list @t1652) @t3109)) % 0.93/1.17 (define @t3115 () (forall (@list @t1655) @t3110)) % 0.93/1.17 (define @t3116 () (or @t1659 @t1643 @t3115 @t3114)) % 0.93/1.17 (define @t3117 () (tptp.in @t4 @t95)) % 0.93/1.17 (define @t3118 () (forall @t9 (or (not @t3117) @t1640))) % 0.93/1.17 (define @t3119 () (forall @t9 (or @t1641 @t3117))) % 0.93/1.17 (define @t3120 () (not @t124)) % 0.93/1.17 (define @t3121 () (or @t3120 @t3082 @t3119 @t3118)) % 0.93/1.17 (define @t3122 () (or @t3119 @t3118)) % 0.93/1.17 (define @t3123 () (not @t120)) % 0.93/1.17 (define @t3124 () (or @t3123 @t109)) % 0.93/1.17 (define @t3125 () (or @t3081 @t120)) % 0.93/1.17 (define @t3126 () (or @t197 @t2191 @t1665 @t129)) % 0.93/1.17 (define @t3127 () (=> @t1664 @t129)) % 0.93/1.17 (define @t3128 () (or @t3120 @t130)) % 0.93/1.17 (define @t3129 () (or @t1670 @t1669)) % 0.93/1.17 (define @t3130 () (or @t1659 @t3129)) % 0.93/1.17 (define @t3131 () (forall @t1672 @t3130)) % 0.93/1.17 (define @t3132 () (@list @t1668)) % 0.93/1.17 (define @t3133 () (forall @t3132 @t3130)) % 0.93/1.17 (define @t3134 () (forall @t3132 @t3129)) % 0.93/1.17 (define @t3135 () (or @t1659 @t3134)) % 0.93/1.17 (define @t3136 () (or @t3120 @t1647)) % 0.93/1.17 (define @t3137 () (=> tptp.wellorderingAx @t3069)) % 0.93/1.17 (define @t3138 () (@list @t1681)) % 0.93/1.17 (define @t3139 () (forall @t3138 @t1683)) % 0.93/1.17 (define @t3140 () (forall @t3138 @t1682)) % 0.93/1.17 (define @t3141 () (or @t3140 @t1680)) % 0.93/1.17 (define @t3142 () (or @t2930 @t1679)) % 0.93/1.17 (define @t3143 () (and @t39 @t1678)) % 0.93/1.17 (define @t3144 () (forall @t41 (not @t3143))) % 0.93/1.17 (define @t3145 () (not @t3144)) % 0.93/1.17 (define @t3146 () (or @t435 @t197)) % 0.93/1.17 (define @t3147 () (forall @t9 (not @t84))) % 0.93/1.17 (define @t3148 () (not @t3147)) % 0.93/1.17 (define @t3149 () (=> tptp.foundationAx @t3137)) % 0.93/1.17 (define @t3150 () (= @t6 @t1687)) % 0.93/1.17 (define @t3151 () (not @t68)) % 0.93/1.17 (define @t3152 () (or @t2191 @t3151)) % 0.93/1.17 (define @t3153 () (forall @t70 (not @t69))) % 0.93/1.17 (define @t3154 () (not @t3153)) % 0.93/1.17 (define @t3155 () (or @t197 @t1696)) % 0.93/1.17 (define @t3156 () (_ @t75 @t1690)) % 0.93/1.17 (define @t3157 () (not @t3156)) % 0.93/1.17 (define @t3158 () (or @t3157 @t1693)) % 0.93/1.17 (define @t3159 () (or @t1953 @t1691)) % 0.93/1.17 (define @t3160 () (_ @t77 @t19)) % 0.93/1.17 (define @t3161 () (not @t3160)) % 0.93/1.17 (define @t3162 () (or @t3161 @t1691)) % 0.93/1.17 (define @t3163 () (forall @t70 @t3162)) % 0.93/1.17 (define @t3164 () (not @t3163)) % 0.93/1.17 (define @t3165 () (_ @t77 @t1690)) % 0.93/1.17 (define @t3166 () (not @t3165)) % 0.93/1.17 (define @t3167 () (or @t3166 @t3164)) % 0.93/1.17 (define @t3168 () (forall @t1695 @t3167)) % 0.93/1.17 (define @t3169 () (not @t3168)) % 0.93/1.17 (define @t3170 () (not (_ @t143 @t1690))) % 0.93/1.17 (define @t3171 () (or @t1243 (= @t1690 @t19))) % 0.93/1.17 (define @t3172 () (forall @t70 @t3171)) % 0.93/1.17 (define @t3173 () (not @t3172)) % 0.93/1.17 (define @t3174 () (or @t3170 @t3173)) % 0.93/1.17 (define @t3175 () (forall @t1695 @t3174)) % 0.93/1.17 (define @t3176 () (not @t3175)) % 0.93/1.17 (define @t3177 () (=> @t7 (_ @t2660 @t77))) % 0.93/1.17 (define @t3178 () (forall @t9 @t3177)) % 0.93/1.17 (define @t3179 () (=> @t3178 @t74)) % 0.93/1.17 (define @t3180 () (forall @t81 @t3179)) % 0.93/1.17 (define @t3181 () (=> tptp.replAx @t3149)) % 0.93/1.17 (define @t3182 () (or @t1702 @t1701)) % 0.93/1.17 (define @t3183 () (or @t1710 @t1708 @t3182)) % 0.93/1.17 (define @t3184 () (forall @t1712 @t3183)) % 0.93/1.17 (define @t3185 () (@list @t1700)) % 0.93/1.17 (define @t3186 () (forall @t3185 @t3183)) % 0.93/1.17 (define @t3187 () (forall @t3185 @t3182)) % 0.93/1.17 (define @t3188 () (or @t1710 @t1708 @t3187)) % 0.93/1.17 (define @t3189 () (forall @t9 (or @t1706 @t1101))) % 0.93/1.17 (define @t3190 () (not @t61)) % 0.93/1.17 (define @t3191 () (or @t3190 @t1708 @t3189)) % 0.93/1.17 (define @t3192 () (and @t61 @t1707)) % 0.93/1.17 (define @t3193 () (not @t54)) % 0.93/1.17 (define @t3194 () (or @t3193 @t7)) % 0.93/1.17 (define @t3195 () (_ tptp.in @t1703)) % 0.93/1.17 (define @t3196 () (or @t3193 @t197 @t58)) % 0.93/1.17 (define @t3197 () (=> tptp.omegaIndAx @t3181)) % 0.93/1.17 (define @t3198 () (or @t3193 @t53)) % 0.93/1.17 (define @t3199 () (=> tptp.omegaSAx @t3197)) % 0.93/1.17 (define @t3200 () (=> tptp.omega0Ax @t3199)) % 0.93/1.17 (define @t3201 () (= @t44 @t1551)) % 0.93/1.17 (define @t3202 () (forall @t41 (not @t40))) % 0.93/1.17 (define @t3203 () (not @t3202)) % 0.93/1.17 (define @t3204 () (=> tptp.setunionAx @t3200)) % 0.93/1.17 (define @t3205 () (= @t35 @t1562)) % 0.93/1.17 (define @t3206 () (=> tptp.powersetAx @t3204)) % 0.93/1.17 (define @t3207 () (= @t26 @t2951)) % 0.93/1.17 (define @t3208 () (=> tptp.setadjoinAx @t3206)) % 0.93/1.17 (define @t3209 () (=> tptp.emptysetAx @t3208)) % 0.93/1.17 (define @t3210 () (=> tptp.setextAx @t3209)) % 0.93/1.17 (define @t3211 () (not (= @t1088 @t1090))) % 0.93/1.17 (define @t3212 () (or @t1091 @t3211)) % 0.93/1.17 (define @t3213 () (forall @t1092 @t3212)) % 0.93/1.17 (define @t3214 () (not @t3213)) % 0.93/1.17 (define @t3215 () (or @t1107 @t1104 @t1093 @t3214)) % 0.93/1.17 (define @t3216 () (or @t1093 @t3214)) % 0.93/1.17 (define @t3217 () (or @t1107 @t1104 @t3216)) % 0.93/1.17 (define @t3218 () (forall @t1108 @t3217)) % 0.93/1.17 (define @t3219 () (@list @t1087)) % 0.93/1.17 (define @t3220 () (forall @t3219 @t3217)) % 0.93/1.17 (define @t3221 () (forall @t3219 @t3216)) % 0.93/1.17 (define @t3222 () (or @t1107 @t1104 @t3221)) % 0.93/1.17 (define @t3223 () (not (forall @t1092 (or (not (tptp.in @t1089 @t1097)) (not (= @t1097 @t1090)))))) % 0.93/1.17 (define @t3224 () (forall @t9 (or @t1102 @t3223))) % 0.93/1.17 (define @t3225 () (_ tptp.subset @t870)) % 0.93/1.17 (define @t3226 () (_ @t3225 @t671)) % 0.93/1.17 (define @t3227 () (not @t3226)) % 0.93/1.17 (define @t3228 () (or @t3227 @t1104 @t3224)) % 0.93/1.17 (define @t3229 () (and @t3226 @t1103)) % 0.93/1.17 (define @t3230 () (or @t197 @t3223)) % 0.93/1.17 (define @t3231 () (= @t873 @t1090)) % 0.93/1.17 (define @t3232 () (not @t3231)) % 0.93/1.17 (define @t3233 () (tptp.in @t1089 @t873)) % 0.93/1.17 (define @t3234 () (not @t3233)) % 0.93/1.17 (define @t3235 () (or @t3234 @t3232)) % 0.93/1.17 (define @t3236 () (forall @t1092 @t3235)) % 0.93/1.17 (define @t3237 () (not @t3236)) % 0.93/1.17 (define @t3238 () (=> @t7 (_ @t2020 @t873))) % 0.93/1.17 (define @t3239 () (forall @t9 @t3238)) % 0.93/1.17 (define @t3240 () (tptp.in @t1094 @t1078)) % 0.93/1.17 (define @t3241 () (tptp.dsetconstr @t1 (lambda @t70 @t3240))) % 0.93/1.17 (define @t3242 () (not (forall @t1100 (or (not (tptp.in @t1098 @t3241)) (not (= @t1099 @t3241)))))) % 0.93/1.17 (define @t3243 () (_ (_ tptp.subset @t1078) @t671)) % 0.93/1.17 (define @t3244 () (and @t3243 (forall @t9 (or @t1102 @t3242)))) % 0.93/1.17 (define @t3245 () (lambda (@list @t1078) @t3244)) % 0.93/1.17 (define @t3246 () (lambda (@list @t1 @t1078) @t3244)) % 0.93/1.17 (define @t3247 () (_ (lambda @t1084 @t3244) @t2)) % 0.93/1.17 (define @t3248 () (=> (_ (_ @t3247 @t1) @t870) @t3239)) % 0.93/1.17 (define @t3249 () (forall @t878 @t3248)) % 0.93/1.17 (define @t3250 () (=> tptp.dpsetconstrER @t3249)) % 0.93/1.17 (define @t3251 () (=> tptp.dpsetconstrEL2 @t3250)) % 0.93/1.17 (define @t3252 () (=> tptp.dpsetconstrEL1 @t3251)) % 0.93/1.17 (define @t3253 () (=> tptp.dpsetconstrERa @t3252)) % 0.93/1.17 (define @t3254 () (=> tptp.setOfPairsIsBReln @t3253)) % 0.93/1.17 (define @t3255 () (=> tptp.dpsetconstrSub @t3254)) % 0.93/1.17 (define @t3256 () (=> tptp.dpsetconstrI @t3255)) % 0.93/1.17 (define @t3257 () (=> tptp.cartprodpairsurjEq @t3256)) % 0.93/1.17 (define @t3258 () (=> tptp.cartprodsndpairEq @t3257)) % 0.93/1.17 (define @t3259 () (=> tptp.cartprodfstpairEq @t3258)) % 0.93/1.17 (define @t3260 () (=> tptp.cartprodmempaircEq @t3259)) % 0.93/1.17 (define @t3261 () (=> tptp.cartprodpairmemER @t3260)) % 0.93/1.17 (define @t3262 () (=> tptp.cartprodpairmemEL @t3261)) % 0.93/1.17 (define @t3263 () (=> tptp.cartprodsndin @t3262)) % 0.93/1.17 (define @t3264 () (=> tptp.kpairsurjEq @t3263)) % 0.93/1.17 (define @t3265 () (=> tptp.ksndpairEq @t3264)) % 0.93/1.17 (define @t3266 () (=> tptp.ksndsingleton @t3265)) % 0.93/1.17 (define @t3267 () (=> tptp.setukpairinjR @t3266)) % 0.93/1.17 (define @t3268 () (=> tptp.setukpairinjR2 @t3267)) % 0.93/1.17 (define @t3269 () (=> tptp.upairequniteq @t3268)) % 0.93/1.17 (define @t3270 () (=> tptp.setukpairinjR1 @t3269)) % 0.93/1.17 (define @t3271 () (=> tptp.setukpairinjR12 @t3270)) % 0.93/1.17 (define @t3272 () (=> tptp.setukpairinjR11 @t3271)) % 0.93/1.17 (define @t3273 () (=> tptp.setukpairinjL @t3272)) % 0.93/1.17 (define @t3274 () (=> tptp.setukpairinjL2 @t3273)) % 0.93/1.17 (define @t3275 () (=> tptp.cartprodfstin @t3274)) % 0.93/1.17 (define @t3276 () (=> tptp.kfstpairEq @t3275)) % 0.93/1.17 (define @t3277 () (=> tptp.theprop @t3276)) % 0.93/1.17 (define @t3278 () (=> tptp.kfstsingleton @t3277)) % 0.93/1.17 (define @t3279 () (=> tptp.setukpairinjL1 @t3278)) % 0.93/1.17 (define @t3280 () (=> tptp.singletonsuniq @t3279)) % 0.93/1.17 (define @t3281 () (=> tptp.ex1I2 @t3280)) % 0.93/1.17 (define @t3282 () (=> tptp.ex1I @t3281)) % 0.93/1.17 (define @t3283 () (=> tptp.ex1E1 @t3282)) % 0.93/1.17 (define @t3284 () (=> tptp.singletonprop @t3283)) % 0.93/1.17 (define @t3285 () (=> tptp.setunionsingleton @t3284)) % 0.93/1.17 (define @t3286 () (=> tptp.setunionsingleton2 @t3285)) % 0.93/1.17 (define @t3287 () (=> tptp.setunionsingleton1 @t3286)) % 0.93/1.17 (define @t3288 () (=> tptp.setunionE2 @t3287)) % 0.93/1.17 (define @t3289 () (=> tptp.cartprodmempair @t3288)) % 0.93/1.17 (define @t3290 () (=> tptp.cartprodmempair1 @t3289)) % 0.93/1.17 (define @t3291 () (=> tptp.cartprodpairin @t3290)) % 0.93/1.17 (define @t3292 () (=> tptp.ubforcartprodlem3 @t3291)) % 0.93/1.17 (define @t3293 () (=> tptp.ubforcartprodlem2 @t3292)) % 0.93/1.17 (define @t3294 () (=> tptp.ubforcartprodlem1 @t3293)) % 0.93/1.17 (define @t3295 () (=> tptp.upairinpowunion @t3294)) % 0.93/1.17 (define @t3296 () (=> tptp.upairsubunion @t3295)) % 0.93/1.17 (define @t3297 () (=> tptp.upairset2E @t3296)) % 0.93/1.17 (define @t3298 () (=> tptp.singletoninpowunion @t3297)) % 0.93/1.17 (define @t3299 () (=> tptp.singletoninpowerset @t3298)) % 0.93/1.17 (define @t3300 () (=> tptp.singletonsubset @t3299)) % 0.93/1.17 (define @t3301 () (=> tptp.kpairp @t3300)) % 0.93/1.17 (define @t3302 () (=> tptp.kpairiskpair @t3301)) % 0.93/1.17 (define @t3303 () (=> tptp.setukpairIR @t3302)) % 0.93/1.17 (define @t3304 () (=> tptp.setukpairIL @t3303)) % 0.93/1.17 (define @t3305 () (=> tptp.secondinupair @t3304)) % 0.93/1.17 (define @t3306 () (=> tptp.symdiffIneg2 @t3305)) % 0.93/1.17 (define @t3307 () (=> tptp.symdiffIneg1 @t3306)) % 0.93/1.17 (define @t3308 () (=> tptp.symdiffI2 @t3307)) % 0.93/1.17 (define @t3309 () (=> tptp.symdiffI1 @t3308)) % 0.93/1.17 (define @t3310 () (=> tptp.symdiffE @t3309)) % 0.93/1.17 (define @t3311 () (=> tptp.setminusSubset1 @t3310)) % 0.93/1.17 (define @t3312 () (=> tptp.setminusLsub @t3311)) % 0.93/1.17 (define @t3313 () (=> tptp.setminusIRneg @t3312)) % 0.93/1.17 (define @t3314 () (=> tptp.setminusILneg @t3313)) % 0.93/1.17 (define @t3315 () (=> tptp.setminusELneg @t3314)) % 0.93/1.17 (define @t3316 () (=> tptp.setminusERneg @t3315)) % 0.93/1.17 (define @t3317 () (=> tptp.setminusSubset2 @t3316)) % 0.93/1.17 (define @t3318 () (=> tptp.setminusER @t3317)) % 0.93/1.17 (define @t3319 () (=> tptp.setminusEL @t3318)) % 0.93/1.17 (define @t3320 () (=> tptp.setminusI @t3319)) % 0.93/1.17 (define @t3321 () (=> tptp.bs114d @t3320)) % 0.93/1.17 (define @t3322 () (=> tptp.binintersectSubset1 @t3321)) % 0.93/1.17 (define @t3323 () (=> tptp.binintersectSubset4 @t3322)) % 0.93/1.17 (define @t3324 () (=> tptp.binintersectRsub @t3323)) % 0.93/1.17 (define @t3325 () (=> tptp.disjointsetsI1 @t3324)) % 0.93/1.17 (define @t3326 () (=> tptp.binintersectER @t3325)) % 0.93/1.17 (define @t3327 () (=> tptp.binintersectSubset3 @t3326)) % 0.93/1.17 (define @t3328 () (=> tptp.binintersectSubset2 @t3327)) % 0.93/1.17 (define @t3329 () (=> tptp.binintersectLsub @t3328)) % 0.93/1.17 (define @t3330 () (=> tptp.binintersectEL @t3329)) % 0.93/1.17 (define @t3331 () (=> tptp.binintersectSubset5 @t3330)) % 0.93/1.17 (define @t3332 () (=> tptp.binintersectI @t3331)) % 0.93/1.17 (define @t3333 () (=> tptp.binunionRsub @t3332)) % 0.93/1.17 (define @t3334 () (=> tptp.binunionLsub @t3333)) % 0.93/1.17 (define @t3335 () (=> tptp.binunionE @t3334)) % 0.93/1.17 (define @t3336 () (=> tptp.binunionEcases @t3335)) % 0.93/1.17 (define @t3337 () (=> tptp.binunionIR @t3336)) % 0.93/1.17 (define @t3338 () (=> tptp.upairset2IR @t3337)) % 0.93/1.17 (define @t3339 () (=> tptp.binunionIL @t3338)) % 0.93/1.17 (define @t3340 () (=> tptp.sepSubset @t3339)) % 0.93/1.17 (define @t3341 () (=> tptp.sepInPowerset @t3340)) % 0.93/1.17 (define @t3342 () (=> tptp.powersetsubset @t3341)) % 0.93/1.17 (define @t3343 () (=> tptp.inPowerset @t3342)) % 0.93/1.17 (define @t3344 () (=> tptp.powersetE1 @t3343)) % 0.93/1.17 (define @t3345 () (=> tptp.powersetI1 @t3344)) % 0.93/1.17 (define @t3346 () (=> tptp.subsetemptysetimpeq @t3345)) % 0.93/1.17 (define @t3347 () (=> tptp.setextsub @t3346)) % 0.93/1.17 (define @t3348 () (=> tptp.subset2powerset @t3347)) % 0.93/1.17 (define @t3349 () (=> tptp.setadjoinSub2 @t3348)) % 0.93/1.17 (define @t3350 () (=> tptp.setadjoinSub @t3349)) % 0.93/1.17 (define @t3351 () (=> tptp.subsetTrans @t3350)) % 0.93/1.17 (define @t3352 () (=> tptp.subsetRefl @t3351)) % 0.93/1.17 (define @t3353 () (=> tptp.notequalI2 @t3352)) % 0.93/1.17 (define @t3354 () (=> tptp.notequalI1 @t3353)) % 0.93/1.17 (define @t3355 () (=> tptp.notsubsetI @t3354)) % 0.93/1.17 (define @t3356 () (=> tptp.subsetE2 @t3355)) % 0.93/1.17 (define @t3357 () (=> tptp.subsetE @t3356)) % 0.93/1.17 (define @t3358 () (=> tptp.emptysetsubset @t3357)) % 0.93/1.17 (define @t3359 () (=> tptp.subsetI2 @t3358)) % 0.93/1.17 (define @t3360 () (=> tptp.eqimpsubset1 @t3359)) % 0.93/1.17 (define @t3361 () (=> tptp.eqimpsubset2 @t3360)) % 0.93/1.17 (define @t3362 () (=> tptp.subsetI1 @t3361)) % 0.93/1.17 (define @t3363 () (=> tptp.dsetconstr__Cong @t3362)) % 0.93/1.17 (define @t3364 () (=> tptp.descr__Cong @t3363)) % 0.93/1.17 (define @t3365 () (=> tptp.exuEu @t3364)) % 0.93/1.17 (define @t3366 () (=> tptp.omega__Cong @t3365)) % 0.93/1.17 (define @t3367 () (=> tptp.setunion__Cong @t3366)) % 0.93/1.17 (define @t3368 () (=> tptp.powerset__Cong @t3367)) % 0.93/1.17 (define @t3369 () (=> tptp.setadjoin__Cong @t3368)) % 0.93/1.17 (define @t3370 () (=> tptp.emptyset__Cong @t3369)) % 0.93/1.17 (define @t3371 () (=> tptp.exu__Cong @t3370)) % 0.93/1.17 (define @t3372 () (=> tptp.exuE3u @t3371)) % 0.93/1.17 (define @t3373 () (=> tptp.in__Cong @t3372)) % 0.93/1.17 (define @t3374 () (=> tptp.inCongP @t3373)) % 0.93/1.17 (define @t3375 () (=> tptp.exuI2 @t3374)) % 0.93/1.17 (define @t3376 () (=> tptp.exuI3 @t3375)) % 0.93/1.17 (define @t3377 () (=> tptp.exuI1 @t3376)) % 0.93/1.17 (define @t3378 () (=> tptp.notdallE @t3377)) % 0.93/1.17 (define @t3379 () (=> tptp.notdexE @t3378)) % 0.93/1.17 (define @t3380 () (=> tptp.prop2set2propI @t3379)) % 0.93/1.17 (define @t3381 () (=> tptp.prop2setI @t3380)) % 0.93/1.17 (define @t3382 () (=> tptp.quantDeMorgan4 @t3381)) % 0.93/1.17 (define @t3383 () (=> tptp.quantDeMorgan3 @t3382)) % 0.93/1.17 (define @t3384 () (=> tptp.quantDeMorgan2 @t3383)) % 0.93/1.17 (define @t3385 () (=> tptp.quantDeMorgan1 @t3384)) % 0.93/1.17 (define @t3386 () (=> tptp.vacuousDall @t3385)) % 0.93/1.17 (define @t3387 () (=> tptp.emptyE1 @t3386)) % 0.93/1.17 (define @t3388 () (=> tptp.upairsetIR @t3387)) % 0.93/1.17 (define @t3389 () (=> tptp.upairsetIL @t3388)) % 0.93/1.17 (define @t3390 () (=> tptp.upairsetE @t3389)) % 0.93/1.17 (define @t3391 () (=> tptp.singletonsswitch @t3390)) % 0.93/1.17 (define @t3392 () (=> tptp.eqinunit @t3391)) % 0.93/1.17 (define @t3393 () (=> tptp.notinsingleton @t3392)) % 0.93/1.17 (define @t3394 () (=> tptp.uniqinunit @t3393)) % 0.93/1.17 (define @t3395 () (=> tptp.nonemptyImpWitness @t3394)) % 0.93/1.17 (define @t3396 () (=> tptp.exuE2 @t3395)) % 0.93/1.17 (define @t3397 () (=> tptp.subPowSU @t3396)) % 0.93/1.17 (define @t3398 () (=> tptp.setunionE @t3397)) % 0.93/1.17 (define @t3399 () (=> tptp.setunionI @t3398)) % 0.93/1.17 (define @t3400 () (=> tptp.powersetE @t3399)) % 0.93/1.17 (define @t3401 () (=> tptp.emptyInPowerset @t3400)) % 0.93/1.17 (define @t3402 () (=> tptp.emptyinPowerset @t3401)) % 0.93/1.17 (define @t3403 () (=> tptp.powersetI @t3402)) % 0.93/1.17 (define @t3404 () (=> tptp.setoftrueEq @t3403)) % 0.93/1.17 (define @t3405 () (=> tptp.setadjoinOr @t3404)) % 0.93/1.17 (define @t3406 () (=> tptp.setadjoinE @t3405)) % 0.93/1.17 (define @t3407 () (=> tptp.setadjoinIR @t3406)) % 0.93/1.17 (define @t3408 () (=> tptp.emptyinunitempty @t3407)) % 0.93/1.17 (define @t3409 () (=> tptp.setadjoinIL @t3408)) % 0.93/1.17 (define @t3410 () (=> tptp.nonemptyI1 @t3409)) % 0.93/1.17 (define @t3411 () (=> tptp.nonemptyI @t3410)) % 0.93/1.17 (define @t3412 () (=> tptp.nonemptyE1 @t3411)) % 0.93/1.17 (define @t3413 () (=> tptp.setbeta @t3412)) % 0.93/1.17 (define @t3414 () (=> tptp.noeltsimpempty @t3413)) % 0.93/1.17 (define @t3415 () (=> tptp.emptyI @t3414)) % 0.93/1.17 (define @t3416 () (=> tptp.setext @t3415)) % 0.93/1.17 (define @t3417 () (=> tptp.exuE3e @t3416)) % 0.93/1.17 (define @t3418 () (=> tptp.notinemptyset @t3417)) % 0.93/1.17 (define @t3419 () (=> tptp.emptysetimpfalse @t3418)) % 0.93/1.17 (define @t3420 () (=> tptp.emptysetE @t3419)) % 0.93/1.17 (define @t3421 () (=> tptp.prop2setE @t3420)) % 0.93/1.17 (define @t3422 () (=> tptp.exuE1 @t3421)) % 0.93/1.17 (define @t3423 () (=> tptp.dsetconstrER @t3422)) % 0.93/1.17 (define @t3424 () (=> tptp.dsetconstrEL @t3423)) % 0.93/1.17 (define @t3425 () (=> tptp.dsetconstrI @t3424)) % 0.93/1.17 (define @t3426 () (=> tptp.descrp @t3425)) % 0.93/1.17 (define @t3427 () (=> tptp.wellorderingAx @t3426)) % 0.93/1.17 (define @t3428 () (=> tptp.foundationAx @t3427)) % 0.93/1.17 (define @t3429 () (=> tptp.replAx @t3428)) % 0.93/1.17 (define @t3430 () (=> tptp.omegaIndAx @t3429)) % 0.93/1.17 (define @t3431 () (=> tptp.omegaSAx @t3430)) % 0.93/1.17 (define @t3432 () (=> tptp.omega0Ax @t3431)) % 0.93/1.17 (define @t3433 () (=> tptp.setunionAx @t3432)) % 0.93/1.17 (define @t3434 () (=> tptp.powersetAx @t3433)) % 0.93/1.17 (define @t3435 () (=> tptp.setadjoinAx @t3434)) % 0.93/1.17 (define @t3436 () (=> tptp.emptysetAx @t3435)) % 0.93/1.17 (define @t3437 () (=> tptp.setextAx @t3436)) % 0.93/1.17 (define @t3438 () (or @t197 @t3242)) % 0.93/1.17 (define @t3439 () (tptp.dsetconstr @t1 @t1080)) % 0.93/1.17 (define @t3440 () (= @t1099 @t3439)) % 0.93/1.17 (define @t3441 () (not @t3440)) % 0.93/1.17 (define @t3442 () (tptp.in @t1098 @t3439)) % 0.93/1.17 (define @t3443 () (not @t3442)) % 0.93/1.17 (define @t3444 () (or @t3443 @t3441)) % 0.93/1.17 (define @t3445 () (not (= @t3439 @t1099))) % 0.93/1.17 (define @t3446 () (or @t3443 @t3445)) % 0.93/1.17 (define @t3447 () (forall @t1100 @t3446)) % 0.93/1.17 (define @t3448 () (not @t3447)) % 0.93/1.17 (define @t3449 () (tptp.dsetconstr @t1 @t143)) % 0.93/1.17 (define @t3450 () (not (tptp.in @t1098 @t3449))) % 0.93/1.17 (define @t3451 () (not (= @t1099 @t3449))) % 0.93/1.17 (define @t3452 () (or @t3450 @t3451)) % 0.93/1.17 (define @t3453 () (forall @t1100 @t3452)) % 0.93/1.17 (define @t3454 () (not @t3453)) % 0.93/1.17 (define @t3455 () (forall @t9 (or (not (tptp.in @t4 @t3449)) (not (= @t1164 @t3449))))) % 0.93/1.17 (define @t3456 () (not @t3455)) % 0.93/1.17 (define @t3457 () (lambda @t150 @t3456)) % 0.93/1.17 (define @t3458 () (_ @t2174 @t1)) % 0.93/1.17 (define @t3459 () (=> @t7 (_ @t3458 @t1080))) % 0.93/1.17 (define @t3460 () (forall @t9 @t3459)) % 0.93/1.17 (define @t3461 () (@quantifiers_skolemize @t1109 0)) % 0.93/1.17 (define @t3462 () (@quantifiers_skolemize @t1109 3)) % 0.93/1.17 (define @t3463 () (tptp.in @t3462 @t3461)) % 0.93/1.17 (define @t3464 () (@quantifiers_skolemize @t1109 2)) % 0.93/1.17 (define @t3465 () (@quantifiers_skolemize @t1109 1)) % 0.93/1.17 (define @t3466 () (tptp.dsetconstr @t3465 (lambda @t70 (tptp.in (tptp.kpair @t3462 @t19) @t3464)))) % 0.93/1.17 (define @t3467 () (forall @t1092 (or (not (tptp.in @t1089 @t3466)) (not (= @t1090 @t3466))))) % 0.93/1.17 (define @t3468 () (not @t3467)) % 0.93/1.17 (define @t3469 () (not @t3463)) % 0.93/1.17 (define @t3470 () (tptp.dsetconstr @t3465 (lambda @t70 (tptp.in @t1094 @t3464)))) % 0.93/1.17 (define @t3471 () (forall @t9 (or (not (tptp.in @t4 @t3461)) (not (forall @t1100 (or (not (tptp.in @t1098 @t3470)) (not (= @t1099 @t3470)))))))) % 0.93/1.17 (define @t3472 () (not @t3471)) % 0.93/1.17 (define @t3473 () (or (not (tptp.subset @t3464 (tptp.cartprod @t3461 @t3465))) @t3472 @t3469 @t3468)) % 0.93/1.17 (define @t3474 () (@list true)) % 0.93/1.17 (define @t3475 () (@list @t3473)) % 0.93/1.17 (define @t3476 () (@var "BOUND_VARIABLE_19353" $$unsorted)) % 0.93/1.17 (define @t3477 () (tptp.dsetconstr @t3465 (lambda (@list @t3476) (tptp.in (tptp.kpair @t3462 @t3476) @t3464)))) % 0.93/1.17 (define @t3478 () (@var "BOUND_VARIABLE_19354" $$unsorted)) % 0.93/1.17 (define @t3479 () (@list @t3476 @t3478)) % 0.93/1.17 (define @t3480 () (forall @t1100 (or (not (tptp.in @t1098 @t3466)) (not (= @t1099 @t3466))))) % 0.93/1.17 (define @t3481 () (not @t3480)) % 0.93/1.17 (define @t3482 () (or @t3469 @t3481)) % 0.93/1.17 (assume @p1 @t14) % 0.93/1.17 (assume @p2 @t18) % 0.93/1.17 (assume @p3 @t30) % 0.93/1.17 (assume @p4 @t38) % 0.93/1.17 (assume @p5 @t48) % 0.93/1.17 (assume @p6 (= tptp.omega0Ax @t50)) % 0.93/1.17 (assume @p7 @t56) % 0.93/1.17 (assume @p8 @t66) % 0.93/1.17 (assume @p9 @t83) % 0.93/1.17 (assume @p10 @t92) % 0.93/1.17 (assume @p11 @t142) % 0.93/1.17 (assume @p12 @t152) % 0.93/1.17 (assume @p13 @t161) % 0.93/1.17 (assume @p14 @t163) % 0.93/1.17 (assume @p15 @t165) % 0.93/1.17 (assume @p16 @t172) % 0.93/1.17 (assume @p17 @t178) % 0.93/1.17 (assume @p18 @t183) % 0.93/1.17 (assume @p19 @t185) % 0.93/1.17 (assume @p20 (= tptp.notinemptyset @t17)) % 0.93/1.17 (assume @p21 @t189) % 0.93/1.17 (assume @p22 @t195) % 0.93/1.17 (assume @p23 @t201) % 0.93/1.17 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.93/1.17 (assume @p25 @t204) % 0.93/1.17 (assume @p26 @t208) % 0.93/1.17 (assume @p27 @t212) % 0.93/1.17 (assume @p28 @t215) % 0.93/1.17 (assume @p29 @t219) % 0.93/1.17 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.93/1.17 (assume @p31 @t223) % 0.93/1.17 (assume @p32 @t231) % 0.93/1.17 (assume @p33 @t234) % 0.93/1.17 (assume @p34 @t238) % 0.93/1.17 (assume @p35 @t241) % 0.93/1.17 (assume @p36 @t244) % 0.93/1.17 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.93/1.17 (assume @p38 @t247) % 0.93/1.17 (assume @p39 @t251) % 0.93/1.17 (assume @p40 @t258) % 0.93/1.17 (assume @p41 @t262) % 0.93/1.17 (assume @p42 @t268) % 0.93/1.17 (assume @p43 @t273) % 0.93/1.17 (assume @p44 @t278) % 0.93/1.17 (assume @p45 @t284) % 0.93/1.17 (assume @p46 @t286) % 0.93/1.17 (assume @p47 @t288) % 0.93/1.17 (assume @p48 @t297) % 0.93/1.17 (assume @p49 @t300) % 0.93/1.17 (assume @p50 @t303) % 0.93/1.17 (assume @p51 @t311) % 0.93/1.17 (assume @p52 @t314) % 0.93/1.17 (assume @p53 @t322) % 0.93/1.17 (assume @p54 @t327) % 0.93/1.17 (assume @p55 @t330) % 0.93/1.17 (assume @p56 @t333) % 0.93/1.17 (assume @p57 @t336) % 0.93/1.17 (assume @p58 @t339) % 0.93/1.17 (assume @p59 (= tptp.notdexE @t329)) % 0.93/1.17 (assume @p60 (= tptp.notdallE @t321)) % 0.93/1.17 (assume @p61 @t342) % 0.93/1.17 (assume @p62 @t348) % 0.93/1.17 (assume @p63 @t351) % 0.93/1.17 (assume @p64 @t357) % 0.93/1.17 (assume @p65 @t362) % 0.93/1.17 (assume @p66 @t365) % 0.93/1.17 (assume @p67 @t378) % 0.93/1.17 (assume @p68 @t380) % 0.93/1.17 (assume @p69 @t390) % 0.93/1.17 (assume @p70 @t394) % 0.93/1.17 (assume @p71 @t398) % 0.93/1.17 (assume @p72 @t399) % 0.93/1.17 (assume @p73 @t400) % 0.93/1.17 (assume @p74 @t407) % 0.93/1.17 (assume @p75 @t418) % 0.93/1.17 (assume @p76 @t423) % 0.93/1.17 (assume @p77 @t427) % 0.93/1.17 (assume @p78 @t429) % 0.93/1.17 (assume @p79 (= tptp.subsetI2 @t422)) % 0.93/1.17 (assume @p80 @t432) % 0.93/1.17 (assume @p81 @t434) % 0.93/1.17 (assume @p82 @t438) % 0.93/1.17 (assume @p83 @t442) % 0.93/1.17 (assume @p84 @t445) % 0.93/1.17 (assume @p85 @t448) % 0.93/1.17 (assume @p86 @t451) % 0.93/1.17 (assume @p87 @t457) % 0.93/1.17 (assume @p88 @t461) % 0.93/1.17 (assume @p89 @t465) % 0.93/1.17 (assume @p90 @t469) % 0.93/1.17 (assume @p91 @t472) % 0.93/1.17 (assume @p92 @t475) % 0.93/1.17 (assume @p93 @t477) % 0.93/1.17 (assume @p94 @t479) % 0.93/1.17 (assume @p95 @t482) % 0.93/1.17 (assume @p96 @t485) % 0.93/1.17 (assume @p97 @t488) % 0.93/1.17 (assume @p98 @t491) % 0.93/1.17 (assume @p99 @t495) % 0.93/1.17 (assume @p100 (= tptp.upairset2IR @t302)) % 0.93/1.17 (assume @p101 @t497) % 0.93/1.17 (assume @p102 @t504) % 0.93/1.17 (assume @p103 @t507) % 0.93/1.17 (assume @p104 @t510) % 0.93/1.17 (assume @p105 @t513) % 0.93/1.17 (assume @p106 @t519) % 0.93/1.17 (assume @p107 @t526) % 0.93/1.17 (assume @p108 @t528) % 0.93/1.17 (assume @p109 @t532) % 0.93/1.17 (assume @p110 @t536) % 0.93/1.17 (assume @p111 @t540) % 0.93/1.17 (assume @p112 @t542) % 0.93/1.17 (assume @p113 @t548) % 0.93/1.17 (assume @p114 @t551) % 0.93/1.17 (assume @p115 @t554) % 0.93/1.17 (assume @p116 @t557) % 0.93/1.17 (assume @p117 @t564) % 0.93/1.17 (assume @p118 @t569) % 0.93/1.17 (assume @p119 @t571) % 0.93/1.17 (assume @p120 @t573) % 0.93/1.17 (assume @p121 @t577) % 0.93/1.17 (assume @p122 @t580) % 0.93/1.17 (assume @p123 @t582) % 0.93/1.17 (assume @p124 @t584) % 0.93/1.17 (assume @p125 @t586) % 0.93/1.17 (assume @p126 @t589) % 0.93/1.17 (assume @p127 @t592) % 0.93/1.17 (assume @p128 @t602) % 0.93/1.17 (assume @p129 @t605) % 0.93/1.17 (assume @p130 @t608) % 0.93/1.17 (assume @p131 @t612) % 0.93/1.17 (assume @p132 @t615) % 0.93/1.17 (assume @p133 (= tptp.secondinupair @t302)) % 0.93/1.17 (assume @p134 @t622) % 0.93/1.17 (assume @p135 @t625) % 0.93/1.17 (assume @p136 @t628) % 0.93/1.17 (assume @p137 @t632) % 0.93/1.17 (assume @p138 @t635) % 0.93/1.17 (assume @p139 @t639) % 0.93/1.17 (assume @p140 @t643) % 0.93/1.17 (assume @p141 (= tptp.upairset2E @t296)) % 0.93/1.17 (assume @p142 @t648) % 0.93/1.17 (assume @p143 @t653) % 0.93/1.17 (assume @p144 @t658) % 0.93/1.17 (assume @p145 @t664) % 0.93/1.17 (assume @p146 @t670) % 0.93/1.17 (assume @p147 @t676) % 0.93/1.17 (assume @p148 @t687) % 0.93/1.17 (assume @p149 @t690) % 0.93/1.17 (assume @p150 @t699) % 0.93/1.17 (assume @p151 @t704) % 0.93/1.17 (assume @p152 @t707) % 0.93/1.17 (assume @p153 @t710) % 0.93/1.17 (assume @p154 @t718) % 0.93/1.17 (assume @p155 @t723) % 0.93/1.17 (assume @p156 @t731) % 0.93/1.17 (assume @p157 @t735) % 0.93/1.17 (assume @p158 @t738) % 0.93/1.17 (assume @p159 @t744) % 0.93/1.17 (assume @p160 @t752) % 0.93/1.17 (assume @p161 @t757) % 0.93/1.17 (assume @p162 @t761) % 0.93/1.17 (assume @p163 @t765) % 0.93/1.17 (assume @p164 @t773) % 0.93/1.17 (assume @p165 @t777) % 0.93/1.17 (assume @p166 @t780) % 0.93/1.17 (assume @p167 @t784) % 0.93/1.17 (assume @p168 @t788) % 0.93/1.17 (assume @p169 @t791) % 0.93/1.17 (assume @p170 @t793) % 0.93/1.17 (assume @p171 @t795) % 0.93/1.17 (assume @p172 @t801) % 0.93/1.17 (assume @p173 @t805) % 0.93/1.17 (assume @p174 @t811) % 0.93/1.17 (assume @p175 @t814) % 0.93/1.17 (assume @p176 @t817) % 0.93/1.17 (assume @p177 @t819) % 0.93/1.17 (assume @p178 @t824) % 0.93/1.17 (assume @p179 @t829) % 0.93/1.17 (assume @p180 @t834) % 0.93/1.17 (assume @p181 @t837) % 0.93/1.17 (assume @p182 @t848) % 0.93/1.17 (assume @p183 @t854) % 0.93/1.17 (assume @p184 @t857) % 0.93/1.17 (assume @p185 @t862) % 0.93/1.17 (assume @p186 @t865) % 0.93/1.17 (assume @p187 @t867) % 0.93/1.17 (assume @p188 @t869) % 0.93/1.17 (assume @p189 @t1068) % 0.93/1.17 (assume @p190 true) % 0.93/1.17 (step @p191 (= tptp.exu @t1069) :rule refl :args (@t1069)) % 0.93/1.17 (step @p192 (= tptp.nonempty @t1070) :rule refl :args (@t1070)) % 0.93/1.17 (step @p193 (= tptp.singleton @t1074) :rule refl :args (@t1074)) % 0.93/1.17 (step @p194 (= tptp.ex1 @t1075) :rule refl :args (@t1075)) % 0.93/1.17 (step @p195 (= tptp.breln @t1077) :rule refl :args (@t1077)) % 0.93/1.17 (step @p196 (= tptp.func @t1085) :rule refl :args (@t1085)) % 0.93/1.17 (step @p197 (= tptp.funcSet @t1086) :rule refl :args (@t1086)) % 0.93/1.17 (step @p198 :rule refl :args (@t1497)) % 0.93/1.17 (step @p199 :rule skolem_intro :args ((@purify true))) % 0.93/1.17 (step @p200 :rule symm :premises (@p199)) % 0.93/1.17 (step @p201 :rule cong :premises (@p200) :args (@t1498)) % 0.93/1.17 (step @p202 :rule cong :premises (@p201) :args (@t1499)) % 0.93/1.17 (step @p203 :rule cong :premises (@p202 @p198) :args (@t1500)) % 0.93/1.17 (step @p204 :rule refl :args (tptp.emptyset)) % 0.93/1.17 (step @p205 :rule cong :premises (@p204 @p201) :args (@t1501)) % 0.93/1.17 (step @p206 :rule cong :premises (@p205 @p203) :args (@t1502)) % 0.93/1.17 (step @p207 :rule refl :args (@t1505)) % 0.93/1.17 (step @p208 :rule cong :premises (@p207 @p206) :args (@t1506)) % 0.93/1.17 (step @p209 :rule refl :args (@t1513)) % 0.93/1.17 (step @p210 :rule cong :premises (@p209 @p208) :args (@t1514)) % 0.93/1.17 (step @p211 :rule refl :args (@t1339)) % 0.93/1.17 (step @p212 :rule cong :premises (@p211 @p210) :args (@t1515)) % 0.93/1.17 (step @p213 :rule refl :args (@t1517)) % 0.93/1.17 (step @p214 :rule cong :premises (@p213 @p212) :args (@t1518)) % 0.93/1.17 (step @p215 :rule refl :args (@t1321)) % 0.93/1.17 (step @p216 :rule cong :premises (@p215 @p214) :args (@t1519)) % 0.93/1.17 (step @p217 :rule refl :args (@t1523)) % 0.93/1.17 (step @p218 :rule cong :premises (@p217 @p216) :args (@t1524)) % 0.93/1.17 (step @p219 :rule refl :args (@t1526)) % 0.93/1.17 (step @p220 :rule cong :premises (@p219 @p218) :args (@t1527)) % 0.93/1.17 (step @p221 :rule refl :args (@t1528)) % 0.93/1.17 (step @p222 :rule cong :premises (@p221 @p220) :args (@t1529)) % 0.93/1.17 (step @p223 :rule refl :args (@t1530)) % 0.93/1.17 (step @p224 :rule cong :premises (@p223 @p222) :args (@t1531)) % 0.93/1.17 (step @p225 :rule refl :args (@t1534)) % 0.93/1.17 (step @p226 :rule cong :premises (@p225 @p224) :args (@t1535)) % 0.93/1.17 (step @p227 :rule refl :args (@t1542)) % 0.93/1.17 (step @p228 :rule cong :premises (@p227 @p226) :args (@t1543)) % 0.93/1.17 (step @p229 :rule refl :args (@t1546)) % 0.93/1.17 (step @p230 :rule cong :premises (@p229 @p228) :args (@t1547)) % 0.93/1.17 (step @p231 :rule refl :args (@t1552)) % 0.93/1.17 (step @p232 :rule cong :premises (@p231 @p230) :args (@t1553)) % 0.93/1.17 (step @p233 :rule refl :args (@t1554)) % 0.93/1.17 (step @p234 :rule cong :premises (@p233 @p232) :args (@t1555)) % 0.93/1.17 (step @p235 :rule refl :args (@t1556)) % 0.93/1.17 (step @p236 :rule cong :premises (@p235 @p234) :args (@t1557)) % 0.93/1.17 (step @p237 :rule refl :args (@t1559)) % 0.93/1.17 (step @p238 :rule cong :premises (@p237 @p236) :args (@t1560)) % 0.93/1.17 (step @p239 :rule cong :premises (@p237 @p238) :args (@t1561)) % 0.93/1.17 (step @p240 :rule refl :args (@t1564)) % 0.93/1.17 (step @p241 :rule cong :premises (@p240 @p239) :args (@t1565)) % 0.93/1.17 (step @p242 :rule refl :args (@t1569)) % 0.93/1.17 (step @p243 :rule cong :premises (@p242 @p241) :args (@t1570)) % 0.93/1.17 (step @p244 :rule refl :args (@t1572)) % 0.93/1.17 (step @p245 :rule cong :premises (@p244 @p243) :args (@t1573)) % 0.93/1.17 (step @p246 :rule cong :premises (@p244 @p245) :args (@t1574)) % 0.93/1.17 (step @p247 :rule refl :args (@t1575)) % 0.93/1.17 (step @p248 :rule cong :premises (@p247 @p246) :args (@t1576)) % 0.93/1.17 (step @p249 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.93/1.17 (step @p250 :rule refl :args (@t1577)) % 0.93/1.17 (step @p251 :rule refl :args (tptp.emptyset)) % 0.93/1.17 (step @p252 :rule cong :premises (@p251 @p250) :args (@t1578)) % 0.93/1.17 (step @p253 :rule trans :premises (@p252 @p249)) % 0.93/1.17 (step @p254 :rule refl :args (@t49)) % 0.93/1.17 (step @p255 :rule ho_cong :premises (@p254 @p250)) % 0.93/1.17 (step @p256 :rule cong :premises (@p255 @p253) :args ((= (_ @t49 @t1577) @t1578))) % 0.93/1.17 (step @p257 :rule symm :premises (@p256)) % 0.93/1.17 (step @p258 :rule refl :args (@t221)) % 0.93/1.17 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 0.93/1.17 (step @p260 :rule refl :args (@t220)) % 0.93/1.17 (step @p261 :rule cong :premises (@p260 @p250) :args ((= @t220 @t1577))) % 0.93/1.17 (step @p262 :rule symm :premises (@p261)) % 0.93/1.17 (step @p263 :rule eq_resolve :premises (@p260 @p262)) % 0.93/1.17 (step @p264 :rule refl :args (@t49)) % 0.93/1.17 (step @p265 :rule ho_cong :premises (@p264 @p263)) % 0.93/1.17 (step @p266 :rule trans :premises (@p265 @p259)) % 0.93/1.17 (step @p267 :rule cong :premises (@p266 @p248) :args (@t1579)) % 0.93/1.17 (step @p268 :rule refl :args (@t1582)) % 0.93/1.17 (step @p269 :rule cong :premises (@p268 @p267) :args (@t1583)) % 0.93/1.17 (step @p270 :rule refl :args (@t1587)) % 0.93/1.17 (step @p271 :rule cong :premises (@p270 @p269) :args (@t1588)) % 0.93/1.17 (step @p272 :rule refl :args (@t1589)) % 0.93/1.17 (step @p273 :rule cong :premises (@p272 @p271) :args (@t1590)) % 0.93/1.17 (step @p274 :rule cong :premises (@p225 @p273) :args (@t1591)) % 0.93/1.17 (step @p275 :rule refl :args (@t1592)) % 0.93/1.17 (step @p276 :rule cong :premises (@p275 @p274) :args (@t1593)) % 0.93/1.17 (step @p277 :rule refl :args (@t1594)) % 0.93/1.17 (step @p278 :rule cong :premises (@p277 @p276) :args (@t1595)) % 0.93/1.17 (step @p279 :rule cong :premises (@p277 @p278) :args (@t1596)) % 0.93/1.17 (step @p280 :rule refl :args (@t1598)) % 0.93/1.17 (step @p281 :rule cong :premises (@p280 @p279) :args (@t1599)) % 0.93/1.17 (step @p282 :rule refl :args (@t1605)) % 0.93/1.17 (step @p283 :rule cong :premises (@p282 @p281) :args (@t1606)) % 0.93/1.17 (step @p284 :rule refl :args (@t1607)) % 0.93/1.17 (step @p285 :rule cong :premises (@p284 @p283) :args (@t1608)) % 0.93/1.17 (step @p286 :rule cong :premises (@p284 @p285) :args (@t1609)) % 0.93/1.17 (step @p287 :rule cong :premises (@p284 @p286) :args (@t1610)) % 0.93/1.17 (step @p288 :rule refl :args (@t1612)) % 0.93/1.17 (step @p289 :rule cong :premises (@p288 @p287) :args (@t1613)) % 0.93/1.17 (step @p290 :rule refl :args (@t1614)) % 0.93/1.17 (step @p291 :rule cong :premises (@p290 @p289) :args (@t1615)) % 0.93/1.17 (step @p292 :rule refl :args (@t1616)) % 0.93/1.17 (step @p293 :rule cong :premises (@p292 @p291) :args (@t1617)) % 0.93/1.17 (step @p294 :rule refl :args (@t1618)) % 0.93/1.17 (step @p295 :rule cong :premises (@p294 @p293) :args (@t1619)) % 0.93/1.17 (step @p296 :rule refl :args (@t1624)) % 0.93/1.17 (step @p297 :rule cong :premises (@p296 @p295) :args (@t1625)) % 0.93/1.17 (step @p298 :rule refl :args (@t1676)) % 0.93/1.17 (step @p299 :rule cong :premises (@p298 @p297) :args (@t1677)) % 0.93/1.17 (step @p300 :rule refl :args (@t1684)) % 0.93/1.17 (step @p301 :rule cong :premises (@p300 @p299) :args (@t1685)) % 0.93/1.17 (step @p302 :rule refl :args (@t1698)) % 0.93/1.17 (step @p303 :rule cong :premises (@p302 @p301) :args (@t1699)) % 0.93/1.17 (step @p304 :rule refl :args (@t1713)) % 0.93/1.17 (step @p305 :rule cong :premises (@p304 @p303) :args (@t1714)) % 0.93/1.17 (step @p306 :rule refl :args (@t1716)) % 0.93/1.17 (step @p307 :rule cong :premises (@p306 @p305) :args (@t1717)) % 0.93/1.17 (step @p308 :rule refl :args (@t1718)) % 0.93/1.17 (step @p309 :rule refl :args (@t50)) % 0.93/1.17 (step @p310 :rule cong :premises (@p309 @p308) :args ((= @t50 @t1718))) % 0.93/1.17 (step @p311 :rule symm :premises (@p310)) % 0.93/1.17 (step @p312 :rule eq_resolve :premises (@p309 @p311)) % 0.93/1.17 (step @p313 :rule cong :premises (@p312 @p307) :args (@t1719)) % 0.93/1.17 (step @p314 :rule refl :args (@t1720)) % 0.93/1.17 (step @p315 :rule cong :premises (@p314 @p313) :args (@t1721)) % 0.93/1.17 (step @p316 :rule refl :args (@t1722)) % 0.93/1.17 (step @p317 :rule cong :premises (@p316 @p315) :args (@t1723)) % 0.93/1.17 (step @p318 :rule refl :args (@t1725)) % 0.93/1.17 (step @p319 :rule cong :premises (@p318 @p317) :args (@t1726)) % 0.93/1.17 (step @p320 :rule cong :premises (@p284 @p319) :args (@t1727)) % 0.93/1.17 (step @p321 :rule refl :args (@t1729)) % 0.93/1.17 (step @p322 :rule cong :premises (@p321 @p320) :args (@t1730)) % 0.93/1.17 (step @p323 :rule cong :premises (@p322) :args ((not @t1730))) % 0.93/1.17 (step @p324 :rule bool-impl-true2 :args (@t1144)) % 0.93/1.17 (step @p325 :rule refl :args (@t1147)) % 0.93/1.17 (step @p326 :rule cong :premises (@p325 @p324) :args (@t1731)) % 0.93/1.17 (step @p327 :rule refl :args (@t1148)) % 0.93/1.17 (step @p328 :rule cong :premises (@p327 @p326) :args (@t1732)) % 0.93/1.17 (step @p329 :rule refl :args (@t1150)) % 0.93/1.17 (step @p330 :rule cong :premises (@p329 @p328) :args (@t1733)) % 0.93/1.17 (step @p331 :rule refl :args (@t1153)) % 0.93/1.17 (step @p332 :rule cong :premises (@p331 @p330) :args (@t1734)) % 0.93/1.17 (step @p333 :rule refl :args (@t1156)) % 0.93/1.17 (step @p334 :rule cong :premises (@p333 @p332) :args (@t1735)) % 0.93/1.17 (step @p335 :rule refl :args (@t1166)) % 0.93/1.17 (step @p336 :rule cong :premises (@p335 @p334) :args (@t1736)) % 0.93/1.17 (step @p337 :rule refl :args (@t1169)) % 0.93/1.17 (step @p338 :rule cong :premises (@p337 @p336) :args (@t1737)) % 0.93/1.17 (step @p339 :rule refl :args (@t1180)) % 0.93/1.17 (step @p340 :rule cong :premises (@p339 @p338) :args (@t1738)) % 0.93/1.17 (step @p341 :rule refl :args (@t1181)) % 0.93/1.17 (step @p342 :rule cong :premises (@p341 @p340) :args (@t1739)) % 0.93/1.17 (step @p343 :rule refl :args (@t1185)) % 0.93/1.17 (step @p344 :rule cong :premises (@p343 @p342) :args (@t1740)) % 0.93/1.17 (step @p345 :rule refl :args (@t1188)) % 0.93/1.17 (step @p346 :rule cong :premises (@p345 @p344) :args (@t1741)) % 0.93/1.17 (step @p347 :rule refl :args (@t1190)) % 0.93/1.17 (step @p348 :rule cong :premises (@p347 @p346) :args (@t1742)) % 0.93/1.17 (step @p349 :rule refl :args (@t1191)) % 0.93/1.17 (step @p350 :rule cong :premises (@p349 @p348) :args (@t1743)) % 0.93/1.17 (step @p351 :rule refl :args (@t1192)) % 0.93/1.17 (step @p352 :rule cong :premises (@p351 @p350) :args (@t1744)) % 0.93/1.17 (step @p353 :rule refl :args (@t1194)) % 0.93/1.17 (step @p354 :rule cong :premises (@p353 @p352) :args (@t1745)) % 0.93/1.17 (step @p355 :rule refl :args (@t1197)) % 0.93/1.17 (step @p356 :rule cong :premises (@p355 @p354) :args (@t1746)) % 0.93/1.17 (step @p357 :rule refl :args (@t1204)) % 0.93/1.17 (step @p358 :rule cong :premises (@p357 @p356) :args (@t1747)) % 0.93/1.17 (step @p359 :rule refl :args (@t1212)) % 0.93/1.17 (step @p360 :rule cong :premises (@p359 @p358) :args (@t1748)) % 0.93/1.17 (step @p361 :rule refl :args (@t1214)) % 0.93/1.17 (step @p362 :rule cong :premises (@p361 @p360) :args (@t1749)) % 0.93/1.17 (step @p363 :rule refl :args (@t1215)) % 0.93/1.17 (step @p364 :rule cong :premises (@p363 @p362) :args (@t1750)) % 0.93/1.17 (step @p365 :rule refl :args (@t1236)) % 0.93/1.17 (step @p366 :rule cong :premises (@p365 @p364) :args (@t1751)) % 0.93/1.17 (step @p367 :rule refl :args (@t1248)) % 0.93/1.17 (step @p368 :rule cong :premises (@p367 @p366) :args (@t1752)) % 0.93/1.17 (step @p369 :rule refl :args (@t1255)) % 0.93/1.17 (step @p370 :rule cong :premises (@p369 @p368) :args (@t1753)) % 0.93/1.17 (step @p371 :rule cong :premises (@p365 @p370) :args (@t1754)) % 0.93/1.17 (step @p372 :rule refl :args (@t1257)) % 0.93/1.17 (step @p373 :rule cong :premises (@p372 @p371) :args (@t1755)) % 0.93/1.17 (step @p374 :rule refl :args (@t1261)) % 0.93/1.17 (step @p375 :rule cong :premises (@p374 @p373) :args (@t1756)) % 0.93/1.17 (step @p376 :rule refl :args (@t1263)) % 0.93/1.17 (step @p377 :rule cong :premises (@p376 @p375) :args (@t1757)) % 0.93/1.17 (step @p378 :rule refl :args (@t1271)) % 0.93/1.17 (step @p379 :rule cong :premises (@p378 @p377) :args (@t1758)) % 0.93/1.17 (step @p380 :rule refl :args (@t1272)) % 0.93/1.17 (step @p381 :rule cong :premises (@p380 @p379) :args (@t1759)) % 0.93/1.17 (step @p382 :rule refl :args (@t1279)) % 0.93/1.17 (step @p383 :rule cong :premises (@p382 @p381) :args (@t1760)) % 0.93/1.17 (step @p384 :rule refl :args (@t1285)) % 0.93/1.17 (step @p385 :rule cong :premises (@p384 @p383) :args (@t1761)) % 0.93/1.17 (step @p386 :rule refl :args (@t1294)) % 0.93/1.17 (step @p387 :rule cong :premises (@p386 @p385) :args (@t1762)) % 0.93/1.17 (step @p388 :rule refl :args (@t1300)) % 0.93/1.17 (step @p389 :rule cong :premises (@p388 @p387) :args (@t1763)) % 0.93/1.17 (step @p390 :rule refl :args (@t1306)) % 0.93/1.17 (step @p391 :rule cong :premises (@p390 @p389) :args (@t1764)) % 0.93/1.17 (step @p392 :rule refl :args (@t1312)) % 0.93/1.17 (step @p393 :rule cong :premises (@p392 @p391) :args (@t1765)) % 0.93/1.17 (step @p394 :rule refl :args (@t1318)) % 0.93/1.17 (step @p395 :rule cong :premises (@p394 @p393) :args (@t1766)) % 0.93/1.17 (step @p396 :rule cong :premises (@p215 @p395) :args (@t1767)) % 0.93/1.17 (step @p397 :rule refl :args (@t1323)) % 0.93/1.17 (step @p398 :rule cong :premises (@p397 @p396) :args (@t1768)) % 0.93/1.17 (step @p399 :rule refl :args (@t1326)) % 0.93/1.17 (step @p400 :rule cong :premises (@p399 @p398) :args (@t1769)) % 0.93/1.17 (step @p401 :rule refl :args (@t1328)) % 0.93/1.17 (step @p402 :rule cong :premises (@p401 @p400) :args (@t1770)) % 0.93/1.17 (step @p403 :rule refl :args (@t1330)) % 0.93/1.17 (step @p404 :rule cong :premises (@p403 @p402) :args (@t1771)) % 0.93/1.17 (step @p405 :rule refl :args (@t1332)) % 0.93/1.17 (step @p406 :rule cong :premises (@p405 @p404) :args (@t1772)) % 0.93/1.17 (step @p407 :rule refl :args (@t1335)) % 0.93/1.17 (step @p408 :rule cong :premises (@p407 @p406) :args (@t1773)) % 0.93/1.17 (step @p409 :rule refl :args (@t1337)) % 0.93/1.17 (step @p410 :rule cong :premises (@p409 @p408) :args (@t1774)) % 0.93/1.17 (step @p411 :rule cong :premises (@p211 @p410) :args (@t1775)) % 0.93/1.17 (step @p412 :rule refl :args (@t1344)) % 0.93/1.17 (step @p413 :rule cong :premises (@p412 @p411) :args (@t1776)) % 0.93/1.17 (step @p414 :rule refl :args (@t1346)) % 0.93/1.17 (step @p415 :rule cong :premises (@p414 @p413) :args (@t1777)) % 0.93/1.17 (step @p416 :rule refl :args (@t1347)) % 0.93/1.17 (step @p417 :rule cong :premises (@p416 @p415) :args (@t1778)) % 0.93/1.17 (step @p418 :rule refl :args (@t1348)) % 0.93/1.17 (step @p419 :rule cong :premises (@p418 @p417) :args (@t1779)) % 0.93/1.17 (step @p420 :rule refl :args (@t1351)) % 0.93/1.17 (step @p421 :rule cong :premises (@p420 @p419) :args (@t1780)) % 0.93/1.17 (step @p422 :rule refl :args (@t1355)) % 0.93/1.17 (step @p423 :rule cong :premises (@p422 @p421) :args (@t1781)) % 0.93/1.17 (step @p424 :rule refl :args (@t1357)) % 0.93/1.17 (step @p425 :rule cong :premises (@p424 @p423) :args (@t1782)) % 0.93/1.17 (step @p426 :rule refl :args (@t1360)) % 0.93/1.17 (step @p427 :rule cong :premises (@p426 @p425) :args (@t1783)) % 0.93/1.17 (step @p428 :rule refl :args (@t1361)) % 0.93/1.17 (step @p429 :rule cong :premises (@p428 @p427) :args (@t1784)) % 0.93/1.17 (step @p430 :rule refl :args (@t1362)) % 0.93/1.17 (step @p431 :rule cong :premises (@p430 @p429) :args (@t1785)) % 0.93/1.17 (step @p432 :rule refl :args (@t1363)) % 0.93/1.17 (step @p433 :rule cong :premises (@p432 @p431) :args (@t1786)) % 0.93/1.17 (step @p434 :rule refl :args (@t1365)) % 0.93/1.17 (step @p435 :rule cong :premises (@p434 @p433) :args (@t1787)) % 0.93/1.17 (step @p436 :rule refl :args (@t1366)) % 0.93/1.17 (step @p437 :rule cong :premises (@p436 @p435) :args (@t1788)) % 0.93/1.17 (step @p438 :rule refl :args (@t1367)) % 0.93/1.17 (step @p439 :rule cong :premises (@p438 @p437) :args (@t1789)) % 0.93/1.17 (step @p440 :rule refl :args (@t1368)) % 0.93/1.17 (step @p441 :rule cong :premises (@p440 @p439) :args (@t1790)) % 0.93/1.17 (step @p442 :rule refl :args (@t1374)) % 0.93/1.17 (step @p443 :rule cong :premises (@p442 @p441) :args (@t1791)) % 0.93/1.17 (step @p444 :rule refl :args (@t1376)) % 0.93/1.17 (step @p445 :rule cong :premises (@p444 @p443) :args (@t1792)) % 0.93/1.17 (step @p446 :rule refl :args (@t1380)) % 0.93/1.17 (step @p447 :rule cong :premises (@p446 @p445) :args (@t1793)) % 0.93/1.17 (step @p448 :rule refl :args (@t1382)) % 0.93/1.17 (step @p449 :rule cong :premises (@p448 @p447) :args (@t1794)) % 0.93/1.17 (step @p450 :rule refl :args (@t1385)) % 0.93/1.17 (step @p451 :rule cong :premises (@p450 @p449) :args (@t1795)) % 0.93/1.17 (step @p452 :rule refl :args (@t1388)) % 0.93/1.17 (step @p453 :rule cong :premises (@p452 @p451) :args (@t1796)) % 0.93/1.17 (step @p454 :rule refl :args (@t1389)) % 0.93/1.17 (step @p455 :rule cong :premises (@p454 @p453) :args (@t1797)) % 0.93/1.17 (step @p456 :rule refl :args (@t1390)) % 0.93/1.17 (step @p457 :rule cong :premises (@p456 @p455) :args (@t1798)) % 0.93/1.17 (step @p458 :rule refl :args (@t1392)) % 0.93/1.17 (step @p459 :rule cong :premises (@p458 @p457) :args (@t1799)) % 0.93/1.17 (step @p460 :rule refl :args (@t1393)) % 0.93/1.17 (step @p461 :rule cong :premises (@p460 @p459) :args (@t1800)) % 0.93/1.17 (step @p462 :rule refl :args (@t1397)) % 0.93/1.17 (step @p463 :rule cong :premises (@p462 @p461) :args (@t1801)) % 0.93/1.17 (step @p464 :rule refl :args (@t1398)) % 0.93/1.17 (step @p465 :rule cong :premises (@p464 @p463) :args (@t1802)) % 0.93/1.17 (step @p466 :rule refl :args (@t1400)) % 0.93/1.17 (step @p467 :rule cong :premises (@p466 @p465) :args (@t1803)) % 0.93/1.17 (step @p468 :rule refl :args (@t1402)) % 0.93/1.17 (step @p469 :rule cong :premises (@p468 @p467) :args (@t1804)) % 0.93/1.17 (step @p470 :rule refl :args (@t1405)) % 0.93/1.17 (step @p471 :rule cong :premises (@p470 @p469) :args (@t1805)) % 0.93/1.17 (step @p472 :rule cong :premises (@p470 @p471) :args (@t1806)) % 0.93/1.17 (step @p473 :rule refl :args (@t1406)) % 0.93/1.17 (step @p474 :rule cong :premises (@p473 @p472) :args (@t1807)) % 0.93/1.17 (step @p475 :rule cong :premises (@p211 @p474) :args (@t1808)) % 0.93/1.17 (step @p476 :rule refl :args (@t1407)) % 0.93/1.17 (step @p477 :rule cong :premises (@p476 @p475) :args (@t1809)) % 0.93/1.17 (step @p478 :rule refl :args (@t1408)) % 0.93/1.17 (step @p479 :rule cong :premises (@p478 @p477) :args (@t1810)) % 0.93/1.17 (step @p480 :rule refl :args (@t1409)) % 0.93/1.17 (step @p481 :rule cong :premises (@p480 @p479) :args (@t1811)) % 0.93/1.17 (step @p482 :rule refl :args (@t1412)) % 0.93/1.17 (step @p483 :rule cong :premises (@p482 @p481) :args (@t1812)) % 0.93/1.17 (step @p484 :rule refl :args (@t1414)) % 0.93/1.17 (step @p485 :rule cong :premises (@p484 @p483) :args (@t1813)) % 0.93/1.17 (step @p486 :rule refl :args (@t1417)) % 0.93/1.17 (step @p487 :rule cong :premises (@p486 @p485) :args (@t1814)) % 0.93/1.17 (step @p488 :rule refl :args (@t1418)) % 0.93/1.17 (step @p489 :rule cong :premises (@p488 @p487) :args (@t1815)) % 0.93/1.17 (step @p490 :rule refl :args (@t1420)) % 0.93/1.17 (step @p491 :rule cong :premises (@p490 @p489) :args (@t1816)) % 0.93/1.17 (step @p492 :rule refl :args (@t1421)) % 0.93/1.17 (step @p493 :rule cong :premises (@p492 @p491) :args (@t1817)) % 0.93/1.17 (step @p494 :rule refl :args (@t1423)) % 0.93/1.17 (step @p495 :rule cong :premises (@p494 @p493) :args (@t1818)) % 0.93/1.17 (step @p496 :rule refl :args (@t1426)) % 0.93/1.17 (step @p497 :rule cong :premises (@p496 @p495) :args (@t1819)) % 0.93/1.17 (step @p498 :rule refl :args (@t1429)) % 0.93/1.17 (step @p499 :rule cong :premises (@p498 @p497) :args (@t1820)) % 0.93/1.17 (step @p500 :rule refl :args (@t1432)) % 0.93/1.17 (step @p501 :rule cong :premises (@p500 @p499) :args (@t1821)) % 0.93/1.17 (step @p502 :rule refl :args (@t1434)) % 0.93/1.17 (step @p503 :rule cong :premises (@p502 @p501) :args (@t1822)) % 0.93/1.17 (step @p504 :rule bool-impl-true2 :args (@t1822)) % 0.93/1.17 (step @p505 :rule trans :premises (@p504 @p503)) % 0.93/1.17 (step @p506 :rule refl :args (@t1436)) % 0.93/1.17 (step @p507 :rule cong :premises (@p506 @p505) :args (@t1823)) % 0.93/1.17 (step @p508 :rule refl :args (@t1437)) % 0.93/1.17 (step @p509 :rule cong :premises (@p508 @p507) :args (@t1824)) % 0.93/1.17 (step @p510 :rule refl :args (@t1438)) % 0.93/1.17 (step @p511 :rule cong :premises (@p510 @p509) :args (@t1825)) % 0.93/1.17 (step @p512 :rule refl :args (@t1439)) % 0.93/1.17 (step @p513 :rule cong :premises (@p512 @p511) :args (@t1826)) % 0.93/1.17 (step @p514 :rule refl :args (@t1441)) % 0.93/1.17 (step @p515 :rule cong :premises (@p514 @p513) :args (@t1827)) % 0.93/1.17 (step @p516 :rule refl :args (@t1444)) % 0.93/1.17 (step @p517 :rule cong :premises (@p516 @p515) :args (@t1828)) % 0.93/1.17 (step @p518 :rule cong :premises (@p506 @p517) :args (@t1829)) % 0.93/1.17 (step @p519 :rule cong :premises (@p506 @p518) :args (@t1830)) % 0.93/1.17 (step @p520 :rule cong :premises (@p516 @p519) :args (@t1831)) % 0.93/1.17 (step @p521 :rule refl :args (@t1455)) % 0.93/1.17 (step @p522 :rule cong :premises (@p521 @p520) :args (@t1832)) % 0.93/1.17 (step @p523 :rule refl :args (@t1468)) % 0.93/1.17 (step @p524 :rule cong :premises (@p523 @p522) :args (@t1833)) % 0.93/1.17 (step @p525 :rule refl :args (@t1477)) % 0.93/1.17 (step @p526 :rule cong :premises (@p525 @p524) :args (@t1834)) % 0.93/1.17 (step @p527 :rule bool-impl-true2 :args (@t1834)) % 0.93/1.17 (step @p528 :rule trans :premises (@p527 @p526)) % 0.93/1.17 (step @p529 :rule bool-impl-true2 :args (@t1834)) % 0.93/1.17 (step @p530 :rule refl :args (true)) % 0.93/1.17 (step @p531 :rule cong :premises (@p530 @p529) :args (@t1835)) % 0.93/1.17 (step @p532 :rule trans :premises (@p531 @p528)) % 0.93/1.17 (step @p533 :rule cong :premises (@p530 @p529) :args (@t1835)) % 0.93/1.17 (step @p534 :rule cong :premises (@p530 @p533) :args (@t1836)) % 0.93/1.17 (step @p535 :rule trans :premises (@p534 @p532)) % 0.93/1.17 (step @p536 :rule cong :premises (@p530 @p533) :args (@t1836)) % 0.93/1.17 (step @p537 :rule cong :premises (@p530 @p536) :args (@t1837)) % 0.93/1.17 (step @p538 :rule trans :premises (@p537 @p535)) % 0.93/1.17 (step @p539 :rule cong :premises (@p530 @p536) :args (@t1837)) % 0.93/1.17 (step @p540 :rule cong :premises (@p530 @p539) :args (@t1838)) % 0.93/1.17 (step @p541 :rule trans :premises (@p540 @p538)) % 0.93/1.17 (step @p542 :rule refl :args (@t1487)) % 0.93/1.17 (step @p543 :rule cong :premises (@p542 @p541) :args (@t1839)) % 0.93/1.17 (step @p544 :rule cong :premises (@p525 @p543) :args (@t1840)) % 0.93/1.17 (step @p545 :rule bool-impl-true2 :args (@t1840)) % 0.93/1.17 (step @p546 :rule trans :premises (@p545 @p544)) % 0.93/1.17 (step @p547 :rule bool-impl-true2 :args (@t1840)) % 0.93/1.17 (step @p548 :rule cong :premises (@p530 @p547) :args (@t1841)) % 0.93/1.17 (step @p549 :rule trans :premises (@p548 @p546)) % 0.93/1.17 (step @p550 :rule refl :args (@t1490)) % 0.93/1.17 (step @p551 :rule cong :premises (@p550 @p549) :args (@t1842)) % 0.93/1.17 (step @p552 :rule refl :args (@t1496)) % 0.93/1.17 (step @p553 :rule cong :premises (@p552 @p551) :args (@t1843)) % 0.93/1.17 (step @p554 :rule bool-impl-true2 :args (@t1843)) % 0.93/1.17 (step @p555 :rule trans :premises (@p554 @p553)) % 0.93/1.17 (step @p556 :rule bool-impl-true2 :args (@t1843)) % 0.93/1.17 (step @p557 :rule cong :premises (@p530 @p556) :args (@t1844)) % 0.93/1.17 (step @p558 :rule trans :premises (@p557 @p555)) % 0.93/1.17 (step @p559 :rule cong :premises (@p530 @p556) :args (@t1844)) % 0.93/1.17 (step @p560 :rule cong :premises (@p530 @p559) :args (@t1845)) % 0.93/1.17 (step @p561 :rule trans :premises (@p560 @p558)) % 0.93/1.17 (step @p562 :rule refl :args (@t1499)) % 0.93/1.17 (step @p563 :rule cong :premises (@p562 @p561) :args (@t1846)) % 0.93/1.17 (step @p564 :rule refl :args (@t1501)) % 0.93/1.17 (step @p565 :rule cong :premises (@p564 @p563) :args (@t1847)) % 0.93/1.17 (step @p566 :rule bool-impl-true2 :args (@t1847)) % 0.93/1.17 (step @p567 :rule trans :premises (@p566 @p565)) % 0.93/1.17 (step @p568 :rule bool-impl-true2 :args (@t1847)) % 0.93/1.17 (step @p569 :rule cong :premises (@p530 @p568) :args (@t1848)) % 0.93/1.17 (step @p570 :rule trans :premises (@p569 @p567)) % 0.93/1.17 (step @p571 :rule cong :premises (@p530 @p568) :args (@t1848)) % 0.93/1.17 (step @p572 :rule cong :premises (@p530 @p571) :args (@t1849)) % 0.93/1.17 (step @p573 :rule trans :premises (@p572 @p570)) % 0.93/1.17 (step @p574 :rule cong :premises (@p530 @p571) :args (@t1849)) % 0.93/1.17 (step @p575 :rule cong :premises (@p530 @p574) :args (@t1850)) % 0.93/1.17 (step @p576 :rule trans :premises (@p575 @p573)) % 0.93/1.17 (step @p577 :rule cong :premises (@p207 @p576) :args (@t1851)) % 0.93/1.17 (step @p578 :rule cong :premises (@p209 @p577) :args (@t1852)) % 0.93/1.17 (step @p579 :rule cong :premises (@p211 @p578) :args (@t1853)) % 0.93/1.17 (step @p580 :rule cong :premises (@p213 @p579) :args (@t1854)) % 0.93/1.17 (step @p581 :rule cong :premises (@p215 @p580) :args (@t1855)) % 0.93/1.17 (step @p582 :rule cong :premises (@p217 @p581) :args (@t1856)) % 0.93/1.17 (step @p583 :rule cong :premises (@p219 @p582) :args (@t1857)) % 0.93/1.17 (step @p584 :rule cong :premises (@p221 @p583) :args (@t1858)) % 0.93/1.17 (step @p585 :rule cong :premises (@p223 @p584) :args (@t1859)) % 0.93/1.17 (step @p586 :rule cong :premises (@p225 @p585) :args (@t1860)) % 0.93/1.17 (step @p587 :rule cong :premises (@p227 @p586) :args (@t1861)) % 0.93/1.17 (step @p588 :rule cong :premises (@p229 @p587) :args (@t1862)) % 0.93/1.17 (step @p589 :rule cong :premises (@p231 @p588) :args (@t1863)) % 0.93/1.17 (step @p590 :rule cong :premises (@p233 @p589) :args (@t1864)) % 0.93/1.17 (step @p591 :rule cong :premises (@p235 @p590) :args (@t1865)) % 0.93/1.17 (step @p592 :rule cong :premises (@p237 @p591) :args (@t1866)) % 0.93/1.17 (step @p593 :rule cong :premises (@p237 @p592) :args (@t1867)) % 0.93/1.17 (step @p594 :rule cong :premises (@p240 @p593) :args (@t1868)) % 0.93/1.17 (step @p595 :rule cong :premises (@p242 @p594) :args (@t1869)) % 0.93/1.17 (step @p596 :rule cong :premises (@p244 @p595) :args (@t1870)) % 0.93/1.17 (step @p597 :rule cong :premises (@p244 @p596) :args (@t1871)) % 0.93/1.17 (step @p598 :rule cong :premises (@p247 @p597) :args (@t1872)) % 0.93/1.17 (step @p599 :rule refl :args (@t221)) % 0.93/1.17 (step @p600 :rule cong :premises (@p599 @p598) :args (@t1873)) % 0.93/1.17 (step @p601 :rule cong :premises (@p268 @p600) :args (@t1874)) % 0.93/1.17 (step @p602 :rule cong :premises (@p270 @p601) :args (@t1875)) % 0.93/1.17 (step @p603 :rule cong :premises (@p272 @p602) :args (@t1876)) % 0.93/1.17 (step @p604 :rule cong :premises (@p225 @p603) :args (@t1877)) % 0.93/1.17 (step @p605 :rule cong :premises (@p275 @p604) :args (@t1878)) % 0.93/1.17 (step @p606 :rule cong :premises (@p277 @p605) :args (@t1879)) % 0.93/1.17 (step @p607 :rule cong :premises (@p277 @p606) :args (@t1880)) % 0.93/1.17 (step @p608 :rule cong :premises (@p280 @p607) :args (@t1881)) % 0.93/1.17 (step @p609 :rule cong :premises (@p282 @p608) :args (@t1882)) % 0.93/1.17 (step @p610 :rule cong :premises (@p284 @p609) :args (@t1883)) % 0.93/1.17 (step @p611 :rule cong :premises (@p284 @p610) :args (@t1884)) % 0.93/1.17 (step @p612 :rule cong :premises (@p284 @p611) :args (@t1885)) % 0.93/1.17 (step @p613 :rule cong :premises (@p288 @p612) :args (@t1886)) % 0.93/1.17 (step @p614 :rule bool-impl-true2 :args (@t1886)) % 0.93/1.17 (step @p615 :rule trans :premises (@p614 @p613)) % 0.93/1.17 (step @p616 :rule cong :premises (@p290 @p615) :args (@t1887)) % 0.93/1.17 (step @p617 :rule cong :premises (@p292 @p616) :args (@t1888)) % 0.93/1.17 (step @p618 :rule cong :premises (@p294 @p617) :args (@t1889)) % 0.93/1.17 (step @p619 :rule cong :premises (@p296 @p618) :args (@t1890)) % 0.93/1.17 (step @p620 :rule cong :premises (@p298 @p619) :args (@t1891)) % 0.93/1.17 (step @p621 :rule cong :premises (@p300 @p620) :args (@t1892)) % 0.93/1.17 (step @p622 :rule cong :premises (@p302 @p621) :args (@t1893)) % 0.93/1.17 (step @p623 :rule cong :premises (@p304 @p622) :args (@t1894)) % 0.93/1.17 (step @p624 :rule cong :premises (@p306 @p623) :args (@t1895)) % 0.93/1.17 (step @p625 :rule refl :args (@t50)) % 0.93/1.17 (step @p626 :rule cong :premises (@p625 @p624) :args (@t1896)) % 0.93/1.17 (step @p627 :rule cong :premises (@p314 @p626) :args (@t1897)) % 0.93/1.17 (step @p628 :rule cong :premises (@p316 @p627) :args (@t1898)) % 0.93/1.17 (step @p629 :rule cong :premises (@p318 @p628) :args (@t1899)) % 0.93/1.17 (step @p630 :rule cong :premises (@p284 @p629) :args (@t1900)) % 0.93/1.17 (step @p631 :rule cong :premises (@p321 @p630) :args (@t1901)) % 0.93/1.17 (step @p632 :rule cong :premises (@p631) :args ((not @t1901))) % 0.93/1.17 (step @p633 :rule refl :args (@t1109)) % 0.93/1.17 (step @p634 :rule refl :args (@t1110)) % 0.93/1.17 (step @p635 :rule lambda-elim :args ((= @t1903 @t67))) % 0.93/1.17 (step @p636 :rule refl :args (@t1)) % 0.93/1.17 (step @p637 :rule refl :args (@t2)) % 0.93/1.17 (step @p638 :rule cong :premises (@p637 @p636 @p635) :args (@t1904)) % 0.93/1.17 (step @p639 :rule refl :args (@t1094)) % 0.93/1.17 (step @p640 :rule cong :premises (@p639 @p638) :args (@t1905)) % 0.93/1.17 (step @p641 :rule cong :premises (@p640) :args (@t1906)) % 0.93/1.17 (step @p642 :rule nary_cong :premises (@p641 @p634) :args (@t1907)) % 0.93/1.17 (step @p643 :rule cong :premises (@p642) :args ((forall @t863 @t1907))) % 0.93/1.17 (step @p644 :rule refl :args (@t1110)) % 0.93/1.17 (step @p645 :rule refl :args (@t76)) % 0.93/1.17 (step @p646 :rule cong :premises (@p645 @p644) :args ((= @t76 @t1110))) % 0.93/1.17 (step @p647 :rule symm :premises (@p646)) % 0.93/1.17 (step @p648 :rule eq_resolve :premises (@p645 @p647)) % 0.93/1.17 (step @p649 :rule refl :args ((tptp.in @t629 @t841))) % 0.93/1.17 (step @p650 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t839))) % 0.93/1.17 (step @p651 :rule refl :args (@t1902)) % 0.93/1.17 (step @p652 :rule cong :premises (@p651) :args (@t1903)) % 0.93/1.17 (step @p653 :rule refl :args (@t1)) % 0.93/1.17 (step @p654 :rule refl :args (@t2)) % 0.93/1.17 (step @p655 :rule cong :premises (@p654 @p653 @p652) :args (@t1904)) % 0.93/1.17 (step @p656 :rule trans :premises (@p655 @p650)) % 0.93/1.17 (step @p657 :rule refl :args (@t1094)) % 0.93/1.17 (step @p658 :rule cong :premises (@p657 @p656) :args (@t1905)) % 0.93/1.17 (step @p659 :rule trans :premises (@p658 @p649)) % 0.93/1.17 (step @p660 :rule refl :args (tptp.in)) % 0.93/1.17 (step @p661 :rule ho_cong :premises (@p660 @p657)) % 0.93/1.17 (step @p662 :rule ho_cong :premises (@p661 @p656)) % 0.93/1.17 (step @p663 :rule cong :premises (@p662 @p659) :args ((= (_ @t1908 @t1904) @t1905))) % 0.93/1.17 (step @p664 :rule symm :premises (@p663)) % 0.93/1.17 (step @p665 :rule refl :args (@t842)) % 0.93/1.17 (step @p666 :rule eq_resolve :premises (@p665 @p664)) % 0.93/1.17 (step @p667 :rule refl :args (@t840)) % 0.93/1.17 (step @p668 :rule ho_cong :premises (@p667 @p652)) % 0.93/1.17 (step @p669 :rule cong :premises (@p668 @p656) :args ((= (_ @t840 @t1903) @t1904))) % 0.93/1.17 (step @p670 :rule symm :premises (@p669)) % 0.93/1.17 (step @p671 :rule refl :args (@t841)) % 0.93/1.17 (step @p672 :rule eq_resolve :premises (@p671 @p670)) % 0.93/1.17 (step @p673 :rule refl :args (@t838)) % 0.93/1.17 (step @p674 :rule cong :premises (@p673 @p651) :args ((= @t838 @t1902))) % 0.93/1.17 (step @p675 :rule symm :premises (@p674)) % 0.93/1.17 (step @p676 :rule eq_resolve :premises (@p673 @p675)) % 0.93/1.17 (step @p677 :rule cong :premises (@p676) :args (@t839)) % 0.93/1.17 (step @p678 :rule ho_cong :premises (@p667 @p677)) % 0.93/1.17 (step @p679 :rule trans :premises (@p678 @p672)) % 0.93/1.17 (step @p680 :rule refl :args (@t629)) % 0.93/1.17 (step @p681 :rule cong :premises (@p680 @p657) :args ((= @t629 @t1094))) % 0.93/1.17 (step @p682 :rule symm :premises (@p681)) % 0.93/1.17 (step @p683 :rule eq_resolve :premises (@p680 @p682)) % 0.93/1.17 (step @p684 :rule ho_cong :premises (@p660 @p683)) % 0.93/1.17 (step @p685 :rule ho_cong :premises (@p684 @p679)) % 0.93/1.17 (step @p686 :rule trans :premises (@p685 @p666)) % 0.93/1.17 (step @p687 :rule cong :premises (@p686) :args (@t1909)) % 0.93/1.17 (step @p688 :rule nary_cong :premises (@p687 @p648) :args (@t1910)) % 0.93/1.17 (step @p689 :rule cong :premises (@p688) :args ((forall @t863 @t1910))) % 0.93/1.17 (step @p690 :rule trans :premises (@p689 @p643)) % 0.93/1.17 (step @p691 :rule bool-impl-elim :args (@t842 @t76)) % 0.93/1.17 (step @p692 :rule cong :premises (@p691) :args (@t868)) % 0.93/1.17 (step @p693 :rule trans :premises (@p692 @p690)) % 0.93/1.17 (step @p694 :rule refl :args (tptp.dpsetconstrER)) % 0.93/1.17 (step @p695 :rule cong :premises (@p694 @p693) :args (@t869)) % 0.93/1.17 (step @p696 :rule eq_resolve :premises (@p188 @p695)) % 0.93/1.17 (step @p697 :rule cong :premises (@p696 @p633) :args (@t1911)) % 0.93/1.17 (step @p698 :rule refl :args (@t1114)) % 0.93/1.17 (step @p699 :rule nary_cong :premises (@p641 @p698) :args (@t1912)) % 0.93/1.17 (step @p700 :rule cong :premises (@p699) :args ((forall @t863 @t1912))) % 0.93/1.17 (step @p701 :rule refl :args (@t1114)) % 0.93/1.17 (step @p702 :rule refl :args (@t352)) % 0.93/1.17 (step @p703 :rule cong :premises (@p702 @p701) :args ((= @t352 @t1114))) % 0.93/1.17 (step @p704 :rule symm :premises (@p703)) % 0.93/1.17 (step @p705 :rule eq_resolve :premises (@p702 @p704)) % 0.93/1.17 (step @p706 :rule nary_cong :premises (@p687 @p705) :args (@t1913)) % 0.93/1.17 (step @p707 :rule cong :premises (@p706) :args ((forall @t863 @t1913))) % 0.93/1.17 (step @p708 :rule trans :premises (@p707 @p700)) % 0.93/1.17 (step @p709 :rule bool-impl-elim :args (@t842 @t352)) % 0.93/1.17 (step @p710 :rule cong :premises (@p709) :args (@t866)) % 0.93/1.17 (step @p711 :rule trans :premises (@p710 @p708)) % 0.93/1.17 (step @p712 :rule refl :args (tptp.dpsetconstrEL2)) % 0.93/1.17 (step @p713 :rule cong :premises (@p712 @p711) :args (@t867)) % 0.93/1.17 (step @p714 :rule eq_resolve :premises (@p187 @p713)) % 0.93/1.17 (step @p715 :rule cong :premises (@p714 @p697) :args (@t1914)) % 0.93/1.17 (step @p716 :rule refl :args (@t1101)) % 0.93/1.17 (step @p717 :rule nary_cong :premises (@p641 @p716) :args (@t1915)) % 0.93/1.17 (step @p718 :rule cong :premises (@p717) :args ((forall @t863 @t1915))) % 0.93/1.17 (step @p719 :rule refl :args (@t1101)) % 0.93/1.17 (step @p720 :rule refl :args (@t7)) % 0.93/1.17 (step @p721 :rule cong :premises (@p720 @p719) :args ((= @t7 @t1101))) % 0.93/1.17 (step @p722 :rule symm :premises (@p721)) % 0.93/1.17 (step @p723 :rule eq_resolve :premises (@p720 @p722)) % 0.93/1.17 (step @p724 :rule nary_cong :premises (@p687 @p723) :args (@t1916)) % 0.93/1.17 (step @p725 :rule cong :premises (@p724) :args ((forall @t863 @t1916))) % 0.93/1.17 (step @p726 :rule trans :premises (@p725 @p718)) % 0.93/1.17 (step @p727 :rule bool-impl-elim :args (@t842 @t7)) % 0.93/1.17 (step @p728 :rule cong :premises (@p727) :args (@t864)) % 0.93/1.17 (step @p729 :rule trans :premises (@p728 @p726)) % 0.93/1.17 (step @p730 :rule refl :args (tptp.dpsetconstrEL1)) % 0.93/1.17 (step @p731 :rule cong :premises (@p730 @p729) :args (@t865)) % 0.93/1.17 (step @p732 :rule eq_resolve :premises (@p186 @p731)) % 0.93/1.17 (step @p733 :rule cong :premises (@p732 @p715) :args (@t1917)) % 0.93/1.17 (step @p734 :rule aci_norm :args ((= @t1919 @t1119))) % 0.93/1.17 (step @p735 :rule cong :premises (@p734) :args (@t1920)) % 0.93/1.17 (step @p736 :rule quant-merge-prenex :args ((= (forall @t846 @t1922) @t1920))) % 0.93/1.17 (step @p737 :rule alpha_equiv :args (@t1923 (@list @t1115) @t1924)) % 0.93/1.17 (step @p738 :rule refl :args (@t1102)) % 0.93/1.17 (step @p739 :rule nary_cong :premises (@p738 @p737) :args (@t1925)) % 0.93/1.17 (step @p740 :rule quant-miniscope-or :args ((= @t1922 @t1925))) % 0.93/1.17 (step @p741 :rule trans :premises (@p740 @p739)) % 0.93/1.17 (step @p742 :rule symm :premises (@p741)) % 0.93/1.17 (step @p743 :rule cong :premises (@p742) :args ((forall @t846 (or @t1102 @t1927)))) % 0.93/1.17 (step @p744 :rule trans :premises (@p743 @p736)) % 0.93/1.17 (step @p745 :rule trans :premises (@p744 @p735)) % 0.93/1.17 (step @p746 :rule refl :args (@t1927)) % 0.93/1.17 (step @p747 :rule cong :premises (@p723) :args (@t197)) % 0.93/1.17 (step @p748 :rule nary_cong :premises (@p747 @p746) :args (@t1928)) % 0.93/1.17 (step @p749 :rule cong :premises (@p748) :args ((forall @t846 @t1928))) % 0.93/1.17 (step @p750 :rule trans :premises (@p749 @p745)) % 0.93/1.17 (step @p751 :rule bool-impl-elim :args (@t7 @t1927)) % 0.93/1.17 (step @p752 :rule cong :premises (@p751) :args ((forall @t846 (=> @t7 @t1927)))) % 0.93/1.17 (step @p753 :rule trans :premises (@p752 @p750)) % 0.93/1.17 (step @p754 :rule refl :args (@t1926)) % 0.93/1.17 (step @p755 :rule nary_cong :premises (@p754 @p641 @p634) :args (@t1929)) % 0.93/1.17 (step @p756 :rule cong :premises (@p755) :args ((forall @t70 @t1929))) % 0.93/1.17 (step @p757 :rule cong :premises (@p705) :args (@t1930)) % 0.93/1.17 (step @p758 :rule nary_cong :premises (@p757 @p687 @p648) :args (@t1931)) % 0.93/1.17 (step @p759 :rule cong :premises (@p758) :args ((forall @t70 @t1931))) % 0.93/1.17 (step @p760 :rule trans :premises (@p759 @p756)) % 0.93/1.17 (step @p761 :rule aci_norm :args ((= (or @t1930 @t1910) @t1931))) % 0.93/1.17 (step @p762 :rule refl :args (@t1930)) % 0.93/1.17 (step @p763 :rule nary_cong :premises (@p762 @p691) :args ((or @t1930 @t858))) % 0.93/1.17 (step @p764 :rule trans :premises (@p763 @p761)) % 0.93/1.17 (step @p765 :rule bool-impl-elim :args (@t352 @t858)) % 0.93/1.17 (step @p766 :rule trans :premises (@p765 @p764)) % 0.93/1.17 (step @p767 :rule cong :premises (@p766) :args (@t859)) % 0.93/1.17 (step @p768 :rule trans :premises (@p767 @p760)) % 0.93/1.17 (step @p769 :rule refl :args (@t7)) % 0.93/1.17 (step @p770 :rule cong :premises (@p769 @p768) :args (@t860)) % 0.93/1.17 (step @p771 :rule cong :premises (@p770) :args (@t861)) % 0.93/1.17 (step @p772 :rule trans :premises (@p771 @p753)) % 0.93/1.17 (step @p773 :rule refl :args (tptp.dpsetconstrERa)) % 0.93/1.17 (step @p774 :rule cong :premises (@p773 @p772) :args (@t862)) % 0.93/1.17 (step @p775 :rule eq_resolve :premises (@p185 @p774)) % 0.93/1.17 (step @p776 :rule cong :premises (@p775 @p733) :args (@t1932)) % 0.93/1.17 (step @p777 :rule refl :args (@t1105)) % 0.93/1.17 (step @p778 :rule lambda-elim :args ((= @t1933 @t67))) % 0.93/1.17 (step @p779 :rule cong :premises (@p637 @p636 @p778) :args (@t1934)) % 0.93/1.17 (step @p780 :rule cong :premises (@p779 @p777) :args (@t1935)) % 0.93/1.17 (step @p781 :rule cong :premises (@p780) :args ((forall @t852 @t1935))) % 0.93/1.17 (step @p782 :rule refl :args ((tptp.subset @t850 @t671))) % 0.93/1.17 (step @p783 :rule refl :args (@t1105)) % 0.93/1.17 (step @p784 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t849))) % 0.93/1.17 (step @p785 :rule cong :premises (@p644) :args (@t1933)) % 0.93/1.17 (step @p786 :rule cong :premises (@p654 @p653 @p785) :args (@t1934)) % 0.93/1.17 (step @p787 :rule trans :premises (@p786 @p784)) % 0.93/1.17 (step @p788 :rule cong :premises (@p787 @p783) :args (@t1935)) % 0.93/1.17 (step @p789 :rule trans :premises (@p788 @p782)) % 0.93/1.17 (step @p790 :rule refl :args (tptp.subset)) % 0.93/1.17 (step @p791 :rule ho_cong :premises (@p790 @p787)) % 0.93/1.17 (step @p792 :rule ho_cong :premises (@p791 @p783)) % 0.93/1.17 (step @p793 :rule cong :premises (@p792 @p789) :args ((= (_ (_ tptp.subset @t1934) @t1105) @t1935))) % 0.93/1.17 (step @p794 :rule symm :premises (@p793)) % 0.93/1.17 (step @p795 :rule refl :args (@t851)) % 0.93/1.17 (step @p796 :rule eq_resolve :premises (@p795 @p794)) % 0.93/1.17 (step @p797 :rule refl :args (@t671)) % 0.93/1.17 (step @p798 :rule cong :premises (@p797 @p783) :args ((= @t671 @t1105))) % 0.93/1.17 (step @p799 :rule symm :premises (@p798)) % 0.93/1.17 (step @p800 :rule eq_resolve :premises (@p797 @p799)) % 0.93/1.17 (step @p801 :rule ho_cong :premises (@p667 @p785)) % 0.93/1.17 (step @p802 :rule cong :premises (@p801 @p787) :args ((= (_ @t840 @t1933) @t1934))) % 0.93/1.17 (step @p803 :rule symm :premises (@p802)) % 0.93/1.17 (step @p804 :rule refl :args (@t850)) % 0.93/1.17 (step @p805 :rule eq_resolve :premises (@p804 @p803)) % 0.93/1.17 (step @p806 :rule cong :premises (@p648) :args (@t849)) % 0.93/1.17 (step @p807 :rule ho_cong :premises (@p667 @p806)) % 0.93/1.17 (step @p808 :rule trans :premises (@p807 @p805)) % 0.93/1.17 (step @p809 :rule ho_cong :premises (@p790 @p808)) % 0.93/1.17 (step @p810 :rule ho_cong :premises (@p809 @p800)) % 0.93/1.17 (step @p811 :rule trans :premises (@p810 @p796)) % 0.93/1.17 (step @p812 :rule cong :premises (@p811) :args (@t853)) % 0.93/1.17 (step @p813 :rule trans :premises (@p812 @p781)) % 0.93/1.17 (step @p814 :rule beta-reduce :args ((= (_ @t1936 @t850) @t851))) % 0.93/1.17 (step @p815 :rule refl :args (@t850)) % 0.93/1.17 (step @p816 :rule beta-reduce :args ((= (_ @t1937 @t1) @t1936))) % 0.93/1.17 (step @p817 :rule beta-reduce :args ((= @t1938 @t1937))) % 0.93/1.17 (step @p818 :rule ho_cong :premises (@p817 @p636)) % 0.93/1.17 (step @p819 :rule trans :premises (@p818 @p816)) % 0.93/1.17 (step @p820 :rule ho_cong :premises (@p819 @p815)) % 0.93/1.17 (step @p821 :rule trans :premises (@p820 @p814)) % 0.93/1.17 (step @p822 :rule cong :premises (@p821) :args (@t1940)) % 0.93/1.17 (step @p823 :rule trans :premises (@p822 @p813)) % 0.93/1.17 (step @p824 :rule refl :args (tptp.setOfPairsIsBReln)) % 0.93/1.17 (step @p825 :rule cong :premises (@p824 @p823) :args ((= tptp.setOfPairsIsBReln @t1940))) % 0.93/1.17 (step @p826 :rule ho_cong :premises (@p195 @p637)) % 0.93/1.17 (step @p827 :rule ho_cong :premises (@p826 @p636)) % 0.93/1.17 (step @p828 :rule ho_cong :premises (@p827 @p815)) % 0.93/1.17 (step @p829 :rule cong :premises (@p828) :args (@t856)) % 0.93/1.17 (step @p830 :rule cong :premises (@p824 @p829) :args (@t857)) % 0.93/1.17 (step @p831 :rule trans :premises (@p830 @p825)) % 0.93/1.17 (step @p832 :rule eq_resolve :premises (@p184 @p831)) % 0.93/1.17 (step @p833 :rule cong :premises (@p832 @p776) :args (@t1941)) % 0.93/1.17 (step @p834 :rule refl :args (tptp.dpsetconstrSub)) % 0.93/1.17 (step @p835 :rule cong :premises (@p834 @p813) :args (@t854)) % 0.93/1.17 (step @p836 :rule eq_resolve :premises (@p183 @p835)) % 0.93/1.17 (step @p837 :rule cong :premises (@p836 @p833) :args (@t1942)) % 0.93/1.17 (step @p838 :rule aci_norm :args ((= @t1944 @t1126))) % 0.93/1.17 (step @p839 :rule cong :premises (@p838) :args (@t1945)) % 0.93/1.17 (step @p840 :rule quant-merge-prenex :args ((= (forall @t846 @t1947) @t1945))) % 0.93/1.17 (step @p841 :rule alpha_equiv :args (@t1948 (@list @t1122) @t1924)) % 0.93/1.17 (step @p842 :rule nary_cong :premises (@p738 @p841) :args (@t1949)) % 0.93/1.17 (step @p843 :rule quant-miniscope-or :args ((= @t1947 @t1949))) % 0.93/1.17 (step @p844 :rule trans :premises (@p843 @p842)) % 0.93/1.17 (step @p845 :rule symm :premises (@p844)) % 0.93/1.17 (step @p846 :rule cong :premises (@p845) :args ((forall @t846 (or @t1102 @t1950)))) % 0.93/1.17 (step @p847 :rule trans :premises (@p846 @p840)) % 0.93/1.17 (step @p848 :rule trans :premises (@p847 @p839)) % 0.93/1.17 (step @p849 :rule refl :args (@t1950)) % 0.93/1.17 (step @p850 :rule nary_cong :premises (@p747 @p849) :args (@t1951)) % 0.93/1.17 (step @p851 :rule cong :premises (@p850) :args ((forall @t846 @t1951))) % 0.93/1.17 (step @p852 :rule trans :premises (@p851 @p848)) % 0.93/1.17 (step @p853 :rule bool-impl-elim :args (@t7 @t1950)) % 0.93/1.17 (step @p854 :rule cong :premises (@p853) :args ((forall @t846 (=> @t7 @t1950)))) % 0.93/1.17 (step @p855 :rule trans :premises (@p854 @p852)) % 0.93/1.17 (step @p856 :rule refl :args (@t1692)) % 0.93/1.17 (step @p857 :rule nary_cong :premises (@p754 @p856 @p640) :args (@t1952)) % 0.93/1.17 (step @p858 :rule cong :premises (@p857) :args ((forall @t70 @t1952))) % 0.93/1.17 (step @p859 :rule cong :premises (@p648) :args (@t1953)) % 0.93/1.17 (step @p860 :rule nary_cong :premises (@p757 @p859 @p686) :args (@t1954)) % 0.93/1.17 (step @p861 :rule cong :premises (@p860) :args ((forall @t70 @t1954))) % 0.93/1.17 (step @p862 :rule trans :premises (@p861 @p858)) % 0.93/1.17 (step @p863 :rule aci_norm :args ((= (or @t1930 (or @t1953 @t842)) @t1954))) % 0.93/1.17 (step @p864 :rule bool-impl-elim :args (@t76 @t842)) % 0.93/1.17 (step @p865 :rule nary_cong :premises (@p762 @p864) :args ((or @t1930 @t843))) % 0.93/1.17 (step @p866 :rule trans :premises (@p865 @p863)) % 0.93/1.17 (step @p867 :rule bool-impl-elim :args (@t352 @t843)) % 0.93/1.17 (step @p868 :rule trans :premises (@p867 @p866)) % 0.93/1.17 (step @p869 :rule cong :premises (@p868) :args (@t844)) % 0.93/1.17 (step @p870 :rule trans :premises (@p869 @p862)) % 0.93/1.17 (step @p871 :rule cong :premises (@p769 @p870) :args (@t845)) % 0.93/1.17 (step @p872 :rule cong :premises (@p871) :args (@t847)) % 0.93/1.17 (step @p873 :rule trans :premises (@p872 @p855)) % 0.93/1.17 (step @p874 :rule refl :args (tptp.dpsetconstrI)) % 0.93/1.17 (step @p875 :rule cong :premises (@p874 @p873) :args (@t848)) % 0.93/1.17 (step @p876 :rule eq_resolve :premises (@p182 @p875)) % 0.93/1.17 (step @p877 :rule cong :premises (@p876 @p837) :args (@t1955)) % 0.93/1.17 (step @p878 :rule refl :args ((tptp.kpair @t762 @t806))) % 0.93/1.17 (step @p879 :rule refl :args (@t1128)) % 0.93/1.17 (step @p880 :rule refl :args (@t1129)) % 0.93/1.17 (step @p881 :rule cong :premises (@p880 @p879) :args (@t1130)) % 0.93/1.17 (step @p882 :rule trans :premises (@p881 @p878)) % 0.93/1.17 (step @p883 :rule refl :args (tptp.kpair)) % 0.93/1.17 (step @p884 :rule ho_cong :premises (@p883 @p880)) % 0.93/1.17 (step @p885 :rule ho_cong :premises (@p884 @p879)) % 0.93/1.17 (step @p886 :rule cong :premises (@p885 @p882) :args ((= (_ @t1956 @t1128) @t1130))) % 0.93/1.17 (step @p887 :rule symm :premises (@p886)) % 0.93/1.17 (step @p888 :rule refl :args (@t807)) % 0.93/1.17 (step @p889 :rule eq_resolve :premises (@p888 @p887)) % 0.93/1.17 (step @p890 :rule refl :args (@t806)) % 0.93/1.17 (step @p891 :rule cong :premises (@p890 @p879) :args ((= @t806 @t1128))) % 0.93/1.17 (step @p892 :rule symm :premises (@p891)) % 0.93/1.17 (step @p893 :rule eq_resolve :premises (@p890 @p892)) % 0.93/1.17 (step @p894 :rule refl :args (@t762)) % 0.93/1.17 (step @p895 :rule cong :premises (@p894 @p880) :args ((= @t762 @t1129))) % 0.93/1.17 (step @p896 :rule symm :premises (@p895)) % 0.93/1.17 (step @p897 :rule eq_resolve :premises (@p894 @p896)) % 0.93/1.17 (step @p898 :rule ho_cong :premises (@p883 @p897)) % 0.93/1.17 (step @p899 :rule ho_cong :premises (@p898 @p893)) % 0.93/1.17 (step @p900 :rule trans :premises (@p899 @p889)) % 0.93/1.17 (step @p901 :rule refl :args (@t381)) % 0.93/1.17 (step @p902 :rule cong :premises (@p901 @p900) :args (@t1957)) % 0.93/1.17 (step @p903 :rule refl :args ((tptp.in @t381 @t671))) % 0.93/1.17 (step @p904 :rule cong :premises (@p901 @p783) :args (@t1132)) % 0.93/1.17 (step @p905 :rule trans :premises (@p904 @p903)) % 0.93/1.17 (step @p906 :rule refl :args (@t682)) % 0.93/1.17 (step @p907 :rule ho_cong :premises (@p906 @p783)) % 0.93/1.17 (step @p908 :rule cong :premises (@p907 @p905) :args ((= (_ @t682 @t1105) @t1132))) % 0.93/1.17 (step @p909 :rule symm :premises (@p908)) % 0.93/1.17 (step @p910 :rule refl :args (@t683)) % 0.93/1.17 (step @p911 :rule eq_resolve :premises (@p910 @p909)) % 0.93/1.17 (step @p912 :rule ho_cong :premises (@p906 @p800)) % 0.93/1.17 (step @p913 :rule trans :premises (@p912 @p911)) % 0.93/1.17 (step @p914 :rule cong :premises (@p913) :args (@t1958)) % 0.93/1.17 (step @p915 :rule nary_cong :premises (@p914 @p902) :args (@t1959)) % 0.93/1.17 (step @p916 :rule cong :premises (@p915) :args ((forall @t685 @t1959))) % 0.93/1.17 (step @p917 :rule bool-impl-elim :args (@t683 @t1957)) % 0.93/1.17 (step @p918 :rule cong :premises (@p917) :args ((forall @t685 (=> @t683 @t1957)))) % 0.93/1.17 (step @p919 :rule trans :premises (@p918 @p916)) % 0.93/1.17 (step @p920 :rule eq-symm :args (@t807 @t381)) % 0.93/1.17 (step @p921 :rule refl :args (@t683)) % 0.93/1.17 (step @p922 :rule cong :premises (@p921 @p920) :args (@t835)) % 0.93/1.17 (step @p923 :rule cong :premises (@p922) :args (@t836)) % 0.93/1.17 (step @p924 :rule trans :premises (@p923 @p919)) % 0.93/1.17 (step @p925 :rule refl :args (tptp.cartprodpairsurjEq)) % 0.93/1.17 (step @p926 :rule cong :premises (@p925 @p924) :args (@t837)) % 0.93/1.17 (step @p927 :rule eq_resolve :premises (@p181 @p926)) % 0.93/1.17 (step @p928 :rule cong :premises (@p927 @p877) :args (@t1960)) % 0.93/1.17 (step @p929 :rule aci_norm :args ((= @t1962 @t1137))) % 0.93/1.17 (step @p930 :rule cong :premises (@p929) :args (@t1963)) % 0.93/1.17 (step @p931 :rule quant-merge-prenex :args ((= (forall @t245 @t1965) @t1963))) % 0.93/1.17 (step @p932 :rule alpha_equiv :args (@t1966 (@list @t1134) @t1924)) % 0.93/1.17 (step @p933 :rule nary_cong :premises (@p738 @p932) :args (@t1967)) % 0.93/1.17 (step @p934 :rule quant-miniscope-or :args ((= @t1965 @t1967))) % 0.93/1.17 (step @p935 :rule trans :premises (@p934 @p933)) % 0.93/1.17 (step @p936 :rule symm :premises (@p935)) % 0.93/1.17 (step @p937 :rule cong :premises (@p936) :args ((forall @t245 (or @t1102 @t1968)))) % 0.93/1.17 (step @p938 :rule trans :premises (@p937 @p931)) % 0.93/1.17 (step @p939 :rule trans :premises (@p938 @p930)) % 0.93/1.17 (step @p940 :rule refl :args (@t1968)) % 0.93/1.17 (step @p941 :rule nary_cong :premises (@p747 @p940) :args (@t1969)) % 0.93/1.17 (step @p942 :rule cong :premises (@p941) :args ((forall @t245 @t1969))) % 0.93/1.17 (step @p943 :rule trans :premises (@p942 @p939)) % 0.93/1.17 (step @p944 :rule bool-impl-elim :args (@t7 @t1968)) % 0.93/1.17 (step @p945 :rule cong :premises (@p944) :args ((forall @t245 (=> @t7 @t1968)))) % 0.93/1.17 (step @p946 :rule trans :premises (@p945 @p943)) % 0.93/1.17 (step @p947 :rule refl :args ((tptp.ksnd @t629))) % 0.93/1.17 (step @p948 :rule cong :premises (@p657) :args (@t1154)) % 0.93/1.17 (step @p949 :rule trans :premises (@p948 @p947)) % 0.93/1.17 (step @p950 :rule refl :args (tptp.ksnd)) % 0.93/1.17 (step @p951 :rule ho_cong :premises (@p950 @p657)) % 0.93/1.17 (step @p952 :rule cong :premises (@p951 @p949) :args ((= (_ tptp.ksnd @t1094) @t1154))) % 0.93/1.17 (step @p953 :rule symm :premises (@p952)) % 0.93/1.17 (step @p954 :rule refl :args (@t802)) % 0.93/1.17 (step @p955 :rule eq_resolve :premises (@p954 @p953)) % 0.93/1.17 (step @p956 :rule ho_cong :premises (@p950 @p683)) % 0.93/1.17 (step @p957 :rule trans :premises (@p956 @p955)) % 0.93/1.17 (step @p958 :rule refl :args (@t19)) % 0.93/1.17 (step @p959 :rule cong :premises (@p958 @p957) :args (@t1970)) % 0.93/1.17 (step @p960 :rule nary_cong :premises (@p757 @p959) :args (@t1971)) % 0.93/1.17 (step @p961 :rule cong :premises (@p960) :args ((forall @t70 @t1971))) % 0.93/1.17 (step @p962 :rule bool-impl-elim :args (@t352 @t1970)) % 0.93/1.17 (step @p963 :rule cong :premises (@p962) :args ((forall @t70 (=> @t352 @t1970)))) % 0.93/1.17 (step @p964 :rule trans :premises (@p963 @p961)) % 0.93/1.17 (step @p965 :rule eq-symm :args (@t802 @t19)) % 0.93/1.17 (step @p966 :rule refl :args (@t352)) % 0.93/1.17 (step @p967 :rule cong :premises (@p966 @p965) :args (@t830)) % 0.93/1.17 (step @p968 :rule cong :premises (@p967) :args (@t831)) % 0.93/1.17 (step @p969 :rule trans :premises (@p968 @p964)) % 0.93/1.17 (step @p970 :rule cong :premises (@p769 @p969) :args (@t832)) % 0.93/1.17 (step @p971 :rule cong :premises (@p970) :args (@t833)) % 0.93/1.17 (step @p972 :rule trans :premises (@p971 @p946)) % 0.93/1.17 (step @p973 :rule refl :args (tptp.cartprodsndpairEq)) % 0.93/1.17 (step @p974 :rule cong :premises (@p973 @p972) :args (@t834)) % 0.93/1.17 (step @p975 :rule eq_resolve :premises (@p180 @p974)) % 0.93/1.17 (step @p976 :rule cong :premises (@p975 @p928) :args (@t1972)) % 0.93/1.17 (step @p977 :rule aci_norm :args ((= @t1974 @t1142))) % 0.93/1.17 (step @p978 :rule cong :premises (@p977) :args (@t1975)) % 0.93/1.17 (step @p979 :rule quant-merge-prenex :args ((= (forall @t245 @t1977) @t1975))) % 0.93/1.17 (step @p980 :rule alpha_equiv :args (@t1978 (@list @t1139) @t1924)) % 0.93/1.17 (step @p981 :rule nary_cong :premises (@p738 @p980) :args (@t1979)) % 0.93/1.17 (step @p982 :rule quant-miniscope-or :args ((= @t1977 @t1979))) % 0.93/1.17 (step @p983 :rule trans :premises (@p982 @p981)) % 0.93/1.17 (step @p984 :rule symm :premises (@p983)) % 0.93/1.17 (step @p985 :rule cong :premises (@p984) :args ((forall @t245 (or @t1102 @t1980)))) % 0.93/1.17 (step @p986 :rule trans :premises (@p985 @p979)) % 0.93/1.17 (step @p987 :rule trans :premises (@p986 @p978)) % 0.93/1.17 (step @p988 :rule refl :args (@t1980)) % 0.93/1.17 (step @p989 :rule nary_cong :premises (@p747 @p988) :args (@t1981)) % 0.93/1.17 (step @p990 :rule cong :premises (@p989) :args ((forall @t245 @t1981))) % 0.93/1.17 (step @p991 :rule trans :premises (@p990 @p987)) % 0.93/1.17 (step @p992 :rule bool-impl-elim :args (@t7 @t1980)) % 0.93/1.17 (step @p993 :rule cong :premises (@p992) :args ((forall @t245 (=> @t7 @t1980)))) % 0.93/1.17 (step @p994 :rule trans :premises (@p993 @p991)) % 0.93/1.17 (step @p995 :rule refl :args ((tptp.kfst @t629))) % 0.93/1.17 (step @p996 :rule cong :premises (@p657) :args (@t1195)) % 0.93/1.17 (step @p997 :rule trans :premises (@p996 @p995)) % 0.93/1.17 (step @p998 :rule refl :args (tptp.kfst)) % 0.93/1.17 (step @p999 :rule ho_cong :premises (@p998 @p657)) % 0.93/1.17 (step @p1000 :rule cong :premises (@p999 @p997) :args ((= (_ tptp.kfst @t1094) @t1195))) % 0.93/1.17 (step @p1001 :rule symm :premises (@p1000)) % 0.93/1.17 (step @p1002 :rule refl :args (@t758)) % 0.93/1.17 (step @p1003 :rule eq_resolve :premises (@p1002 @p1001)) % 0.93/1.17 (step @p1004 :rule ho_cong :premises (@p998 @p683)) % 0.93/1.17 (step @p1005 :rule trans :premises (@p1004 @p1003)) % 0.93/1.17 (step @p1006 :rule refl :args (@t4)) % 0.93/1.17 (step @p1007 :rule cong :premises (@p1006 @p1005) :args (@t1982)) % 0.93/1.17 (step @p1008 :rule nary_cong :premises (@p757 @p1007) :args (@t1983)) % 0.93/1.17 (step @p1009 :rule cong :premises (@p1008) :args ((forall @t70 @t1983))) % 0.93/1.17 (step @p1010 :rule bool-impl-elim :args (@t352 @t1982)) % 0.93/1.17 (step @p1011 :rule cong :premises (@p1010) :args ((forall @t70 (=> @t352 @t1982)))) % 0.93/1.17 (step @p1012 :rule trans :premises (@p1011 @p1009)) % 0.93/1.17 (step @p1013 :rule eq-symm :args (@t758 @t4)) % 0.93/1.17 (step @p1014 :rule cong :premises (@p966 @p1013) :args (@t825)) % 0.93/1.17 (step @p1015 :rule cong :premises (@p1014) :args (@t826)) % 0.93/1.17 (step @p1016 :rule trans :premises (@p1015 @p1012)) % 0.93/1.17 (step @p1017 :rule cong :premises (@p769 @p1016) :args (@t827)) % 0.93/1.17 (step @p1018 :rule cong :premises (@p1017) :args (@t828)) % 0.93/1.17 (step @p1019 :rule trans :premises (@p1018 @p994)) % 0.93/1.17 (step @p1020 :rule refl :args (tptp.cartprodfstpairEq)) % 0.93/1.17 (step @p1021 :rule cong :premises (@p1020 @p1019) :args (@t829)) % 0.93/1.17 (step @p1022 :rule eq_resolve :premises (@p179 @p1021)) % 0.93/1.17 (step @p1023 :rule cong :premises (@p1022 @p976) :args (@t1984)) % 0.93/1.17 (step @p1024 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 0.93/1.17 (step @p1025 :rule symm :premises (@p1024)) % 0.93/1.17 (step @p1026 :rule quant-unused-vars :args ((= (forall @t245 true) true))) % 0.93/1.17 (step @p1027 :rule bool-impl-true1 :args (@t7)) % 0.93/1.17 (step @p1028 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 0.93/1.17 (step @p1029 :rule bool-impl-true1 :args (@t352)) % 0.93/1.17 (step @p1030 :rule eq-refl :args (@t629)) % 0.93/1.17 (step @p1031 :rule cong :premises (@p966 @p1030) :args (@t820)) % 0.93/1.17 (step @p1032 :rule trans :premises (@p1031 @p1029)) % 0.93/1.17 (step @p1033 :rule cong :premises (@p1032) :args (@t821)) % 0.93/1.17 (step @p1034 :rule trans :premises (@p1033 @p1028)) % 0.93/1.17 (step @p1035 :rule cong :premises (@p769 @p1034) :args (@t822)) % 0.93/1.17 (step @p1036 :rule trans :premises (@p1035 @p1027)) % 0.93/1.17 (step @p1037 :rule cong :premises (@p1036) :args (@t823)) % 0.93/1.17 (step @p1038 :rule trans :premises (@p1037 @p1026)) % 0.93/1.17 (step @p1039 :rule refl :args (tptp.cartprodmempaircEq)) % 0.93/1.17 (step @p1040 :rule cong :premises (@p1039 @p1038) :args (@t824)) % 0.93/1.17 (step @p1041 :rule trans :premises (@p1040 @p1024)) % 0.93/1.17 (step @p1042 :rule eq_resolve :premises (@p178 @p1041)) % 0.93/1.17 (step @p1043 :rule eq_resolve :premises (@p1042 @p1025)) % 0.93/1.17 (step @p1044 :rule cong :premises (@p1043 @p1023) :args (@t1985)) % 0.93/1.17 (step @p1045 :rule refl :args ((tptp.in @t629 @t671))) % 0.93/1.17 (step @p1046 :rule cong :premises (@p657 @p783) :args (@t1145)) % 0.93/1.17 (step @p1047 :rule trans :premises (@p1046 @p1045)) % 0.93/1.17 (step @p1048 :rule ho_cong :premises (@p661 @p783)) % 0.93/1.17 (step @p1049 :rule cong :premises (@p1048 @p1047) :args ((= (_ @t1908 @t1105) @t1145))) % 0.93/1.17 (step @p1050 :rule symm :premises (@p1049)) % 0.93/1.17 (step @p1051 :rule refl :args (@t672)) % 0.93/1.17 (step @p1052 :rule eq_resolve :premises (@p1051 @p1050)) % 0.93/1.17 (step @p1053 :rule ho_cong :premises (@p684 @p800)) % 0.93/1.17 (step @p1054 :rule trans :premises (@p1053 @p1052)) % 0.93/1.17 (step @p1055 :rule cong :premises (@p1054) :args (@t1986)) % 0.93/1.17 (step @p1056 :rule nary_cong :premises (@p1055 @p705) :args (@t1987)) % 0.93/1.17 (step @p1057 :rule cong :premises (@p1056) :args ((forall @t815 @t1987))) % 0.93/1.17 (step @p1058 :rule bool-impl-elim :args (@t672 @t352)) % 0.93/1.17 (step @p1059 :rule cong :premises (@p1058) :args (@t818)) % 0.93/1.17 (step @p1060 :rule trans :premises (@p1059 @p1057)) % 0.93/1.17 (step @p1061 :rule refl :args (tptp.cartprodpairmemER)) % 0.93/1.17 (step @p1062 :rule cong :premises (@p1061 @p1060) :args (@t819)) % 0.93/1.17 (step @p1063 :rule eq_resolve :premises (@p177 @p1062)) % 0.93/1.17 (step @p1064 :rule cong :premises (@p1063 @p1044) :args (@t1988)) % 0.93/1.17 (step @p1065 :rule nary_cong :premises (@p1055 @p723) :args (@t1989)) % 0.93/1.17 (step @p1066 :rule cong :premises (@p1065) :args ((forall @t815 @t1989))) % 0.93/1.17 (step @p1067 :rule bool-impl-elim :args (@t672 @t7)) % 0.93/1.17 (step @p1068 :rule cong :premises (@p1067) :args (@t816)) % 0.93/1.17 (step @p1069 :rule trans :premises (@p1068 @p1066)) % 0.93/1.17 (step @p1070 :rule refl :args (tptp.cartprodpairmemEL)) % 0.93/1.17 (step @p1071 :rule cong :premises (@p1070 @p1069) :args (@t817)) % 0.93/1.17 (step @p1072 :rule eq_resolve :premises (@p176 @p1071)) % 0.93/1.17 (step @p1073 :rule cong :premises (@p1072 @p1064) :args (@t1990)) % 0.93/1.17 (step @p1074 :rule refl :args ((tptp.in @t806 @t1))) % 0.93/1.17 (step @p1075 :rule cong :premises (@p879 @p653) :args (@t1149)) % 0.93/1.17 (step @p1076 :rule trans :premises (@p1075 @p1074)) % 0.93/1.17 (step @p1077 :rule ho_cong :premises (@p660 @p879)) % 0.93/1.17 (step @p1078 :rule ho_cong :premises (@p1077 @p653)) % 0.93/1.17 (step @p1079 :rule cong :premises (@p1078 @p1076) :args ((= (_ (_ tptp.in @t1128) @t1) @t1149))) % 0.93/1.17 (step @p1080 :rule symm :premises (@p1079)) % 0.93/1.17 (step @p1081 :rule refl :args (@t812)) % 0.93/1.17 (step @p1082 :rule eq_resolve :premises (@p1081 @p1080)) % 0.93/1.17 (step @p1083 :rule ho_cong :premises (@p660 @p893)) % 0.93/1.17 (step @p1084 :rule ho_cong :premises (@p1083 @p653)) % 0.93/1.17 (step @p1085 :rule trans :premises (@p1084 @p1082)) % 0.93/1.17 (step @p1086 :rule nary_cong :premises (@p914 @p1085) :args (@t1991)) % 0.93/1.17 (step @p1087 :rule cong :premises (@p1086) :args ((forall @t685 @t1991))) % 0.93/1.17 (step @p1088 :rule bool-impl-elim :args (@t683 @t812)) % 0.93/1.17 (step @p1089 :rule cong :premises (@p1088) :args (@t813)) % 0.93/1.17 (step @p1090 :rule trans :premises (@p1089 @p1087)) % 0.93/1.17 (step @p1091 :rule refl :args (tptp.cartprodsndin)) % 0.93/1.17 (step @p1092 :rule cong :premises (@p1091 @p1090) :args (@t814)) % 0.93/1.17 (step @p1093 :rule eq_resolve :premises (@p175 @p1092)) % 0.93/1.17 (step @p1094 :rule cong :premises (@p1093 @p1073) :args (@t1992)) % 0.93/1.17 (step @p1095 :rule refl :args (@t1151)) % 0.93/1.17 (step @p1096 :rule refl :args (@t688)) % 0.93/1.17 (step @p1097 :rule cong :premises (@p1096 @p1095) :args ((= @t688 @t1151))) % 0.93/1.17 (step @p1098 :rule symm :premises (@p1097)) % 0.93/1.17 (step @p1099 :rule eq_resolve :premises (@p1096 @p1098)) % 0.93/1.17 (step @p1100 :rule cong :premises (@p1099) :args (@t1993)) % 0.93/1.17 (step @p1101 :rule nary_cong :premises (@p1100 @p902) :args (@t1994)) % 0.93/1.17 (step @p1102 :rule cong :premises (@p1101) :args ((forall @t750 @t1994))) % 0.93/1.17 (step @p1103 :rule bool-impl-elim :args (@t688 @t1957)) % 0.93/1.17 (step @p1104 :rule cong :premises (@p1103) :args ((forall @t750 (=> @t688 @t1957)))) % 0.93/1.17 (step @p1105 :rule trans :premises (@p1104 @p1102)) % 0.93/1.17 (step @p1106 :rule refl :args (@t688)) % 0.93/1.17 (step @p1107 :rule cong :premises (@p1106 @p920) :args (@t809)) % 0.93/1.17 (step @p1108 :rule cong :premises (@p1107) :args (@t810)) % 0.93/1.17 (step @p1109 :rule trans :premises (@p1108 @p1105)) % 0.93/1.17 (step @p1110 :rule refl :args (tptp.kpairsurjEq)) % 0.93/1.17 (step @p1111 :rule cong :premises (@p1110 @p1109) :args (@t811)) % 0.93/1.17 (step @p1112 :rule eq_resolve :premises (@p174 @p1111)) % 0.93/1.17 (step @p1113 :rule cong :premises (@p1112 @p1094) :args (@t1995)) % 0.93/1.17 (step @p1114 :rule cong :premises (@p959) :args ((forall @t135 @t1970))) % 0.93/1.17 (step @p1115 :rule cong :premises (@p965) :args (@t804)) % 0.93/1.17 (step @p1116 :rule trans :premises (@p1115 @p1114)) % 0.93/1.17 (step @p1117 :rule refl :args (tptp.ksndpairEq)) % 0.93/1.17 (step @p1118 :rule cong :premises (@p1117 @p1116) :args (@t805)) % 0.93/1.17 (step @p1119 :rule eq_resolve :premises (@p173 @p1118)) % 0.93/1.17 (step @p1120 :rule cong :premises (@p1119 @p1113) :args (@t1996)) % 0.93/1.17 (step @p1121 :rule refl :args (@t1165)) % 0.93/1.17 (step @p1122 :rule nary_cong :premises (@p1100 @p1121) :args (@t1997)) % 0.93/1.17 (step @p1123 :rule cong :premises (@p1122) :args ((forall @t750 @t1997))) % 0.93/1.17 (step @p1124 :rule bool-impl-elim :args (@t688 @t1165)) % 0.93/1.17 (step @p1125 :rule cong :premises (@p1124) :args ((forall @t750 (=> @t688 @t1165)))) % 0.93/1.17 (step @p1126 :rule trans :premises (@p1125 @p1123)) % 0.93/1.17 (step @p1127 :rule refl :args ((tptp.dsetconstr @t746 @t2000))) % 0.93/1.17 (step @p1128 :rule refl :args ((tptp.kpair @t762 @t1157))) % 0.93/1.17 (step @p1129 :rule refl :args (@t1157)) % 0.93/1.17 (step @p1130 :rule cong :premises (@p880 @p1129) :args (@t1158)) % 0.93/1.17 (step @p1131 :rule trans :premises (@p1130 @p1128)) % 0.93/1.17 (step @p1132 :rule cong :premises (@p901 @p1131) :args (@t1159)) % 0.93/1.17 (step @p1133 :rule cong :premises (@p1132) :args (@t1161)) % 0.93/1.17 (step @p1134 :rule refl :args (@t1162)) % 0.93/1.17 (step @p1135 :rule cong :premises (@p1134 @p1133) :args (@t1163)) % 0.93/1.17 (step @p1136 :rule trans :premises (@p1135 @p1127)) % 0.93/1.17 (step @p1137 :rule refl :args (tptp.dsetconstr)) % 0.93/1.17 (step @p1138 :rule ho_cong :premises (@p1137 @p1134)) % 0.93/1.17 (step @p1139 :rule ho_cong :premises (@p1138 @p1133)) % 0.93/1.17 (step @p1140 :rule cong :premises (@p1139 @p1136) :args ((= (_ @t2001 @t1161) @t1163))) % 0.93/1.17 (step @p1141 :rule symm :premises (@p1140)) % 0.93/1.17 (step @p1142 :rule refl :args (@t2002)) % 0.93/1.17 (step @p1143 :rule eq_resolve :premises (@p1142 @p1141)) % 0.93/1.17 (step @p1144 :rule ho_cong :premises (@p884 @p1129)) % 0.93/1.17 (step @p1145 :rule cong :premises (@p1144 @p1131) :args ((= (_ @t1956 @t1157) @t1158))) % 0.93/1.17 (step @p1146 :rule symm :premises (@p1145)) % 0.93/1.17 (step @p1147 :rule refl :args (@t1998)) % 0.93/1.17 (step @p1148 :rule eq_resolve :premises (@p1147 @p1146)) % 0.93/1.17 (step @p1149 :rule ho_cong :premises (@p898 @p1129)) % 0.93/1.17 (step @p1150 :rule trans :premises (@p1149 @p1148)) % 0.93/1.17 (step @p1151 :rule cong :premises (@p901 @p1150) :args (@t1999)) % 0.93/1.17 (step @p1152 :rule cong :premises (@p1151) :args (@t2000)) % 0.93/1.17 (step @p1153 :rule refl :args (@t746)) % 0.93/1.17 (step @p1154 :rule cong :premises (@p1153 @p1134) :args ((= @t746 @t1162))) % 0.93/1.17 (step @p1155 :rule symm :premises (@p1154)) % 0.93/1.17 (step @p1156 :rule eq_resolve :premises (@p1153 @p1155)) % 0.93/1.17 (step @p1157 :rule ho_cong :premises (@p1137 @p1156)) % 0.93/1.17 (step @p1158 :rule ho_cong :premises (@p1157 @p1152)) % 0.93/1.17 (step @p1159 :rule trans :premises (@p1158 @p1143)) % 0.93/1.17 (step @p1160 :rule refl :args (@t1164)) % 0.93/1.17 (step @p1161 :rule cong :premises (@p1160 @p1159) :args (@t2003)) % 0.93/1.17 (step @p1162 :rule cong :premises (@p1161) :args (@t2004)) % 0.93/1.17 (step @p1163 :rule cong :premises (@p1006 @p1159) :args (@t2005)) % 0.93/1.17 (step @p1164 :rule cong :premises (@p1163) :args (@t2006)) % 0.93/1.17 (step @p1165 :rule nary_cong :premises (@p1164 @p1162) :args (@t2007)) % 0.93/1.17 (step @p1166 :rule cong :premises (@p1165) :args ((forall @t9 @t2007))) % 0.93/1.17 (step @p1167 :rule alpha_equiv :args (@t797 @t2008 (@list @t1157))) % 0.93/1.17 (step @p1168 :rule refl :args (@t747)) % 0.93/1.17 (step @p1169 :rule ho_cong :premises (@p1168 @p1167)) % 0.93/1.17 (step @p1170 :rule cong :premises (@p1160 @p1169) :args (@t2009)) % 0.93/1.17 (step @p1171 :rule cong :premises (@p1170) :args (@t2010)) % 0.93/1.17 (step @p1172 :rule cong :premises (@p1006 @p1169) :args (@t2011)) % 0.93/1.17 (step @p1173 :rule cong :premises (@p1172) :args (@t2012)) % 0.93/1.17 (step @p1174 :rule nary_cong :premises (@p1173 @p1171) :args (@t2013)) % 0.93/1.17 (step @p1175 :rule cong :premises (@p1174) :args ((forall @t9 @t2013))) % 0.93/1.17 (step @p1176 :rule trans :premises (@p1175 @p1166)) % 0.93/1.17 (step @p1177 :rule eq-symm :args (@t798 @t1164)) % 0.93/1.17 (step @p1178 :rule cong :premises (@p1177) :args (@t2014)) % 0.93/1.17 (step @p1179 :rule refl :args (@t2012)) % 0.93/1.17 (step @p1180 :rule nary_cong :premises (@p1179 @p1178) :args (@t2015)) % 0.93/1.17 (step @p1181 :rule cong :premises (@p1180) :args (@t2016)) % 0.93/1.17 (step @p1182 :rule trans :premises (@p1181 @p1176)) % 0.93/1.17 (step @p1183 :rule cong :premises (@p1182) :args (@t2017)) % 0.93/1.17 (step @p1184 :rule beta-reduce :args ((= @t2021 @t2017))) % 0.93/1.17 (step @p1185 :rule trans :premises (@p1184 @p1183)) % 0.93/1.17 (step @p1186 :rule cong :premises (@p1106 @p1185) :args (@t2022)) % 0.93/1.17 (step @p1187 :rule cong :premises (@p1186) :args (@t2023)) % 0.93/1.17 (step @p1188 :rule trans :premises (@p1187 @p1126)) % 0.93/1.17 (step @p1189 :rule refl :args (tptp.ksndsingleton)) % 0.93/1.17 (step @p1190 :rule cong :premises (@p1189 @p1188) :args ((= tptp.ksndsingleton @t2023))) % 0.93/1.17 (step @p1191 :rule refl :args (@t798)) % 0.93/1.17 (step @p1192 :rule refl :args (@t1164)) % 0.93/1.17 (step @p1193 :rule refl :args (@t279)) % 0.93/1.17 (step @p1194 :rule cong :premises (@p1193 @p1192) :args ((= @t279 @t1164))) % 0.93/1.17 (step @p1195 :rule symm :premises (@p1194)) % 0.93/1.17 (step @p1196 :rule eq_resolve :premises (@p1193 @p1195)) % 0.93/1.17 (step @p1197 :rule cong :premises (@p654 @p1196) :args (@t1071)) % 0.93/1.17 (step @p1198 :rule cong :premises (@p1197) :args (@t2024)) % 0.93/1.17 (step @p1199 :rule nary_cong :premises (@p747 @p1198) :args (@t2025)) % 0.93/1.17 (step @p1200 :rule cong :premises (@p1199) :args ((forall @t9 @t2025))) % 0.93/1.17 (step @p1201 :rule bool-and-de-morgan :args (@t7 @t1071 true)) % 0.93/1.17 (step @p1202 :rule cong :premises (@p1201) :args (@t2026)) % 0.93/1.17 (step @p1203 :rule trans :premises (@p1202 @p1200)) % 0.93/1.17 (step @p1204 :rule cong :premises (@p1203) :args (@t2027)) % 0.93/1.17 (step @p1205 :rule exists-elim :args ((= @t1073 @t2027))) % 0.93/1.17 (step @p1206 :rule trans :premises (@p1205 @p1204)) % 0.93/1.17 (step @p1207 :rule cong :premises (@p1206) :args (@t1074)) % 0.93/1.17 (step @p1208 :rule trans :premises (@p193 @p1207)) % 0.93/1.17 (step @p1209 :rule ho_cong :premises (@p1208 @p1191)) % 0.93/1.17 (step @p1210 :rule cong :premises (@p1106 @p1209) :args (@t799)) % 0.93/1.17 (step @p1211 :rule cong :premises (@p1210) :args (@t800)) % 0.93/1.17 (step @p1212 :rule cong :premises (@p1189 @p1211) :args (@t801)) % 0.93/1.17 (step @p1213 :rule trans :premises (@p1212 @p1190)) % 0.93/1.17 (step @p1214 :rule eq_resolve :premises (@p172 @p1213)) % 0.93/1.17 (step @p1215 :rule cong :premises (@p1214 @p1120) :args (@t2028)) % 0.93/1.17 (step @p1216 :rule refl :args (@t785)) % 0.93/1.17 (step @p1217 :rule refl :args (@t1167)) % 0.93/1.17 (step @p1218 :rule refl :args (@t774)) % 0.93/1.17 (step @p1219 :rule cong :premises (@p1218 @p1217) :args ((= @t774 @t1167))) % 0.93/1.17 (step @p1220 :rule symm :premises (@p1219)) % 0.93/1.17 (step @p1221 :rule eq_resolve :premises (@p1218 @p1220)) % 0.93/1.17 (step @p1222 :rule cong :premises (@p683 @p1221) :args (@t775)) % 0.93/1.17 (step @p1223 :rule cong :premises (@p1222) :args (@t2029)) % 0.93/1.17 (step @p1224 :rule nary_cong :premises (@p1223 @p1216) :args (@t2030)) % 0.93/1.17 (step @p1225 :rule cong :premises (@p1224) :args ((forall @t771 @t2030))) % 0.93/1.17 (step @p1226 :rule bool-impl-elim :args (@t775 @t785)) % 0.93/1.17 (step @p1227 :rule cong :premises (@p1226) :args (@t794)) % 0.93/1.17 (step @p1228 :rule trans :premises (@p1227 @p1225)) % 0.93/1.17 (step @p1229 :rule refl :args (tptp.setukpairinjR)) % 0.93/1.17 (step @p1230 :rule cong :premises (@p1229 @p1228) :args (@t795)) % 0.93/1.17 (step @p1231 :rule eq_resolve :premises (@p171 @p1230)) % 0.93/1.17 (step @p1232 :rule cong :premises (@p1231 @p1215) :args (@t2031)) % 0.93/1.17 (step @p1233 :rule refl :args ((tptp.setadjoin @t741 @t768))) % 0.93/1.17 (step @p1234 :rule refl :args ((tptp.setadjoin @t767 tptp.emptyset))) % 0.93/1.17 (step @p1235 :rule refl :args ((tptp.setadjoin @t289 @t766))) % 0.93/1.17 (step @p1236 :rule refl :args (@t1170)) % 0.93/1.17 (step @p1237 :rule refl :args (@t289)) % 0.93/1.17 (step @p1238 :rule cong :premises (@p1237 @p1236) :args (@t1171)) % 0.93/1.17 (step @p1239 :rule trans :premises (@p1238 @p1235)) % 0.93/1.17 (step @p1240 :rule cong :premises (@p1239 @p251) :args (@t1172)) % 0.93/1.17 (step @p1241 :rule trans :premises (@p1240 @p1234)) % 0.93/1.17 (step @p1242 :rule refl :args (@t1173)) % 0.93/1.17 (step @p1243 :rule cong :premises (@p1242 @p1241) :args (@t1174)) % 0.93/1.17 (step @p1244 :rule trans :premises (@p1243 @p1233)) % 0.93/1.17 (step @p1245 :rule refl :args (tptp.setadjoin)) % 0.93/1.17 (step @p1246 :rule ho_cong :premises (@p1245 @p1242)) % 0.93/1.17 (step @p1247 :rule ho_cong :premises (@p1246 @p1241)) % 0.93/1.17 (step @p1248 :rule cong :premises (@p1247 @p1244) :args ((= (_ (_ tptp.setadjoin @t1173) @t1172) @t1174))) % 0.93/1.17 (step @p1249 :rule symm :premises (@p1248)) % 0.93/1.17 (step @p1250 :rule refl :args (@t769)) % 0.93/1.17 (step @p1251 :rule eq_resolve :premises (@p1250 @p1249)) % 0.93/1.17 (step @p1252 :rule ho_cong :premises (@p1245 @p1239)) % 0.93/1.17 (step @p1253 :rule ho_cong :premises (@p1252 @p251)) % 0.93/1.17 (step @p1254 :rule cong :premises (@p1253 @p1241) :args ((= (_ (_ tptp.setadjoin @t1171) tptp.emptyset) @t1172))) % 0.93/1.17 (step @p1255 :rule symm :premises (@p1254)) % 0.93/1.17 (step @p1256 :rule refl :args (@t768)) % 0.93/1.17 (step @p1257 :rule eq_resolve :premises (@p1256 @p1255)) % 0.93/1.17 (step @p1258 :rule refl :args (@t740)) % 0.93/1.17 (step @p1259 :rule ho_cong :premises (@p1258 @p1236)) % 0.93/1.17 (step @p1260 :rule cong :premises (@p1259 @p1239) :args ((= (_ @t740 @t1170) @t1171))) % 0.93/1.17 (step @p1261 :rule symm :premises (@p1260)) % 0.93/1.17 (step @p1262 :rule refl :args (@t767)) % 0.93/1.17 (step @p1263 :rule eq_resolve :premises (@p1262 @p1261)) % 0.93/1.17 (step @p1264 :rule refl :args (@t766)) % 0.93/1.17 (step @p1265 :rule cong :premises (@p1264 @p1236) :args ((= @t766 @t1170))) % 0.93/1.17 (step @p1266 :rule symm :premises (@p1265)) % 0.93/1.17 (step @p1267 :rule eq_resolve :premises (@p1264 @p1266)) % 0.93/1.17 (step @p1268 :rule ho_cong :premises (@p1258 @p1267)) % 0.93/1.17 (step @p1269 :rule trans :premises (@p1268 @p1263)) % 0.93/1.17 (step @p1270 :rule ho_cong :premises (@p1245 @p1269)) % 0.93/1.17 (step @p1271 :rule ho_cong :premises (@p1270 @p251)) % 0.93/1.17 (step @p1272 :rule trans :premises (@p1271 @p1257)) % 0.93/1.17 (step @p1273 :rule refl :args (@t741)) % 0.93/1.17 (step @p1274 :rule cong :premises (@p1273 @p1242) :args ((= @t741 @t1173))) % 0.93/1.17 (step @p1275 :rule symm :premises (@p1274)) % 0.93/1.17 (step @p1276 :rule eq_resolve :premises (@p1273 @p1275)) % 0.93/1.17 (step @p1277 :rule ho_cong :premises (@p1245 @p1276)) % 0.93/1.17 (step @p1278 :rule ho_cong :premises (@p1277 @p1272)) % 0.93/1.17 (step @p1279 :rule trans :premises (@p1278 @p1251)) % 0.93/1.17 (step @p1280 :rule refl :args ((tptp.setadjoin @t279 @t616))) % 0.93/1.17 (step @p1281 :rule refl :args ((tptp.setadjoin @t291 tptp.emptyset))) % 0.93/1.17 (step @p1282 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 0.93/1.17 (step @p1283 :rule refl :args (@t1175)) % 0.93/1.17 (step @p1284 :rule cong :premises (@p1006 @p1283) :args (@t1176)) % 0.93/1.17 (step @p1285 :rule trans :premises (@p1284 @p1282)) % 0.93/1.17 (step @p1286 :rule cong :premises (@p1285 @p251) :args (@t1177)) % 0.93/1.17 (step @p1287 :rule trans :premises (@p1286 @p1281)) % 0.93/1.17 (step @p1288 :rule cong :premises (@p1192 @p1287) :args (@t1178)) % 0.93/1.17 (step @p1289 :rule trans :premises (@p1288 @p1280)) % 0.93/1.17 (step @p1290 :rule ho_cong :premises (@p1245 @p1192)) % 0.93/1.17 (step @p1291 :rule ho_cong :premises (@p1290 @p1287)) % 0.93/1.17 (step @p1292 :rule cong :premises (@p1291 @p1289) :args ((= (_ @t2032 @t1177) @t1178))) % 0.93/1.17 (step @p1293 :rule symm :premises (@p1292)) % 0.93/1.17 (step @p1294 :rule refl :args (@t618)) % 0.93/1.17 (step @p1295 :rule eq_resolve :premises (@p1294 @p1293)) % 0.93/1.17 (step @p1296 :rule ho_cong :premises (@p1245 @p1285)) % 0.93/1.17 (step @p1297 :rule ho_cong :premises (@p1296 @p251)) % 0.93/1.17 (step @p1298 :rule cong :premises (@p1297 @p1287) :args ((= (_ (_ tptp.setadjoin @t1176) tptp.emptyset) @t1177))) % 0.93/1.17 (step @p1299 :rule symm :premises (@p1298)) % 0.93/1.17 (step @p1300 :rule refl :args (@t616)) % 0.93/1.17 (step @p1301 :rule eq_resolve :premises (@p1300 @p1299)) % 0.93/1.17 (step @p1302 :rule refl :args (@t24)) % 0.93/1.17 (step @p1303 :rule ho_cong :premises (@p1302 @p1283)) % 0.93/1.17 (step @p1304 :rule cong :premises (@p1303 @p1285) :args ((= (_ @t24 @t1175) @t1176))) % 0.93/1.17 (step @p1305 :rule symm :premises (@p1304)) % 0.93/1.17 (step @p1306 :rule refl :args (@t291)) % 0.93/1.17 (step @p1307 :rule eq_resolve :premises (@p1306 @p1305)) % 0.93/1.17 (step @p1308 :rule refl :args (@t275)) % 0.93/1.17 (step @p1309 :rule cong :premises (@p1308 @p1283) :args ((= @t275 @t1175))) % 0.93/1.17 (step @p1310 :rule symm :premises (@p1309)) % 0.93/1.17 (step @p1311 :rule eq_resolve :premises (@p1308 @p1310)) % 0.93/1.17 (step @p1312 :rule ho_cong :premises (@p1302 @p1311)) % 0.93/1.17 (step @p1313 :rule trans :premises (@p1312 @p1307)) % 0.93/1.17 (step @p1314 :rule ho_cong :premises (@p1245 @p1313)) % 0.93/1.17 (step @p1315 :rule ho_cong :premises (@p1314 @p251)) % 0.93/1.17 (step @p1316 :rule trans :premises (@p1315 @p1301)) % 0.93/1.17 (step @p1317 :rule ho_cong :premises (@p1245 @p1196)) % 0.93/1.17 (step @p1318 :rule ho_cong :premises (@p1317 @p1316)) % 0.93/1.17 (step @p1319 :rule trans :premises (@p1318 @p1295)) % 0.93/1.17 (step @p1320 :rule cong :premises (@p1319 @p1279) :args (@t770)) % 0.93/1.17 (step @p1321 :rule cong :premises (@p1320) :args (@t2033)) % 0.93/1.17 (step @p1322 :rule nary_cong :premises (@p1321 @p1216) :args (@t2034)) % 0.93/1.17 (step @p1323 :rule cong :premises (@p1322) :args ((forall @t771 @t2034))) % 0.93/1.17 (step @p1324 :rule bool-impl-elim :args (@t770 @t785)) % 0.93/1.17 (step @p1325 :rule cong :premises (@p1324) :args (@t792)) % 0.93/1.17 (step @p1326 :rule trans :premises (@p1325 @p1323)) % 0.93/1.17 (step @p1327 :rule refl :args (tptp.setukpairinjR2)) % 0.93/1.17 (step @p1328 :rule cong :premises (@p1327 @p1326) :args (@t793)) % 0.93/1.17 (step @p1329 :rule eq_resolve :premises (@p170 @p1328)) % 0.93/1.17 (step @p1330 :rule cong :premises (@p1329 @p1232) :args (@t2035)) % 0.93/1.17 (step @p1331 :rule refl :args (@t129)) % 0.93/1.17 (step @p1332 :rule cong :premises (@p1313 @p1276) :args (@t789)) % 0.93/1.17 (step @p1333 :rule cong :premises (@p1332) :args (@t2036)) % 0.93/1.17 (step @p1334 :rule nary_cong :premises (@p1333 @p1331) :args (@t2037)) % 0.93/1.17 (step @p1335 :rule cong :premises (@p1334) :args ((forall @t295 @t2037))) % 0.93/1.17 (step @p1336 :rule bool-impl-elim :args (@t789 @t129)) % 0.93/1.17 (step @p1337 :rule cong :premises (@p1336) :args (@t790)) % 0.93/1.17 (step @p1338 :rule trans :premises (@p1337 @p1335)) % 0.93/1.17 (step @p1339 :rule refl :args (tptp.upairequniteq)) % 0.93/1.17 (step @p1340 :rule cong :premises (@p1339 @p1338) :args (@t791)) % 0.93/1.17 (step @p1341 :rule eq_resolve :premises (@p169 @p1340)) % 0.93/1.17 (step @p1342 :rule cong :premises (@p1341 @p1330) :args (@t2038)) % 0.93/1.17 (step @p1343 :rule aci_norm :args ((= (or @t1182 false @t785) @t1183))) % 0.93/1.17 (step @p1344 :rule refl :args (@t785)) % 0.93/1.17 (step @p1345 :rule evaluate :args (@t2039)) % 0.93/1.17 (step @p1346 :rule eq-refl :args (@t381)) % 0.93/1.17 (step @p1347 :rule cong :premises (@p1346) :args (@t2040)) % 0.93/1.17 (step @p1348 :rule trans :premises (@p1347 @p1345)) % 0.93/1.17 (step @p1349 :rule refl :args (@t1182)) % 0.93/1.17 (step @p1350 :rule nary_cong :premises (@p1349 @p1348 @p1344) :args (@t2041)) % 0.93/1.17 (step @p1351 :rule trans :premises (@p1350 @p1343)) % 0.93/1.17 (step @p1352 :rule cong :premises (@p1351) :args ((forall @t1184 @t2041))) % 0.93/1.17 (step @p1353 :rule quant-var-elim-eq :args ((= (forall @t2044 @t2043) @t2041))) % 0.93/1.17 (step @p1354 :rule aci_norm :args ((= @t2045 @t2043))) % 0.93/1.17 (step @p1355 :rule cong :premises (@p1354) :args (@t2046)) % 0.93/1.17 (step @p1356 :rule trans :premises (@p1355 @p1353)) % 0.93/1.17 (step @p1357 :rule cong :premises (@p1356) :args (@t2047)) % 0.93/1.17 (step @p1358 :rule quant-merge-prenex :args ((= @t2047 @t2048))) % 0.93/1.17 (step @p1359 :rule symm :premises (@p1358)) % 0.93/1.17 (step @p1360 :rule quant_var_reordering :args ((= (forall @t771 @t2045) @t2048))) % 0.93/1.17 (step @p1361 :rule trans :premises (@p1360 @p1359 @p1357)) % 0.93/1.17 (step @p1362 :rule trans :premises (@p1361 @p1352)) % 0.93/1.17 (step @p1363 :rule refl :args (@t2042)) % 0.93/1.17 (step @p1364 :rule nary_cong :premises (@p1321 @p1363 @p1216) :args (@t2049)) % 0.93/1.17 (step @p1365 :rule cong :premises (@p1364) :args ((forall @t771 @t2049))) % 0.93/1.17 (step @p1366 :rule trans :premises (@p1365 @p1362)) % 0.93/1.17 (step @p1367 :rule aci_norm :args ((= (or @t2033 (or @t2042 @t785)) @t2049))) % 0.93/1.17 (step @p1368 :rule bool-impl-elim :args (@t385 @t785)) % 0.93/1.17 (step @p1369 :rule refl :args (@t2033)) % 0.93/1.17 (step @p1370 :rule nary_cong :premises (@p1369 @p1368) :args ((or @t2033 @t786))) % 0.93/1.17 (step @p1371 :rule trans :premises (@p1370 @p1367)) % 0.93/1.17 (step @p1372 :rule bool-impl-elim :args (@t770 @t786)) % 0.93/1.17 (step @p1373 :rule trans :premises (@p1372 @p1371)) % 0.93/1.17 (step @p1374 :rule cong :premises (@p1373) :args (@t787)) % 0.93/1.17 (step @p1375 :rule trans :premises (@p1374 @p1366)) % 0.93/1.17 (step @p1376 :rule refl :args (tptp.setukpairinjR1)) % 0.93/1.17 (step @p1377 :rule cong :premises (@p1376 @p1375) :args (@t788)) % 0.93/1.17 (step @p1378 :rule eq_resolve :premises (@p168 @p1377)) % 0.93/1.17 (step @p1379 :rule cong :premises (@p1378 @p1342) :args (@t2050)) % 0.93/1.17 (step @p1380 :rule aci_norm :args ((= (or false @t1187) @t1187))) % 0.93/1.17 (step @p1381 :rule refl :args (@t1187)) % 0.93/1.17 (step @p1382 :rule eq-refl :args (@t19)) % 0.93/1.17 (step @p1383 :rule cong :premises (@p1382) :args (@t2051)) % 0.93/1.17 (step @p1384 :rule trans :premises (@p1383 @p1345)) % 0.93/1.17 (step @p1385 :rule nary_cong :premises (@p1384 @p1381) :args (@t2052)) % 0.93/1.17 (step @p1386 :rule trans :premises (@p1385 @p1380)) % 0.93/1.17 (step @p1387 :rule cong :premises (@p1386) :args ((forall @t70 @t2052))) % 0.93/1.17 (step @p1388 :rule quant-var-elim-eq :args ((= (forall @t9 @t2055) @t2052))) % 0.93/1.17 (step @p1389 :rule aci_norm :args ((= @t2056 @t2055))) % 0.93/1.17 (step @p1390 :rule cong :premises (@p1389) :args (@t2057)) % 0.93/1.17 (step @p1391 :rule trans :premises (@p1390 @p1388)) % 0.93/1.17 (step @p1392 :rule cong :premises (@p1391) :args (@t2058)) % 0.93/1.17 (step @p1393 :rule quant-merge-prenex :args ((= @t2058 @t2060))) % 0.93/1.17 (step @p1394 :rule symm :premises (@p1393)) % 0.93/1.17 (step @p1395 :rule quant_var_reordering :args ((= (forall @t135 @t2056) @t2060))) % 0.93/1.17 (step @p1396 :rule trans :premises (@p1395 @p1394 @p1392)) % 0.93/1.17 (step @p1397 :rule trans :premises (@p1396 @p1387)) % 0.93/1.17 (step @p1398 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 0.93/1.17 (step @p1399 :rule cong :premises (@p1192 @p251) :args (@t2053)) % 0.93/1.17 (step @p1400 :rule trans :premises (@p1399 @p1398)) % 0.93/1.17 (step @p1401 :rule ho_cong :premises (@p1290 @p251)) % 0.93/1.17 (step @p1402 :rule cong :premises (@p1401 @p1400) :args ((= (_ @t2032 tptp.emptyset) @t2053))) % 0.93/1.17 (step @p1403 :rule symm :premises (@p1402)) % 0.93/1.17 (step @p1404 :rule refl :args (@t781)) % 0.93/1.17 (step @p1405 :rule eq_resolve :premises (@p1404 @p1403)) % 0.93/1.17 (step @p1406 :rule ho_cong :premises (@p1317 @p251)) % 0.93/1.17 (step @p1407 :rule trans :premises (@p1406 @p1405)) % 0.93/1.17 (step @p1408 :rule cong :premises (@p1319 @p1407) :args (@t782)) % 0.93/1.17 (step @p1409 :rule refl :args (@t282)) % 0.93/1.17 (step @p1410 :rule nary_cong :premises (@p1409 @p1408) :args (@t2061)) % 0.93/1.17 (step @p1411 :rule cong :premises (@p1410) :args ((forall @t135 @t2061))) % 0.93/1.17 (step @p1412 :rule trans :premises (@p1411 @p1397)) % 0.93/1.17 (step @p1413 :rule bool-impl-elim :args (@t129 @t782)) % 0.93/1.17 (step @p1414 :rule cong :premises (@p1413) :args (@t783)) % 0.93/1.17 (step @p1415 :rule trans :premises (@p1414 @p1412)) % 0.93/1.17 (step @p1416 :rule refl :args (tptp.setukpairinjR12)) % 0.93/1.17 (step @p1417 :rule cong :premises (@p1416 @p1415) :args (@t784)) % 0.93/1.17 (step @p1418 :rule eq_resolve :premises (@p167 @p1417)) % 0.93/1.17 (step @p1419 :rule cong :premises (@p1418 @p1379) :args (@t2062)) % 0.93/1.17 (step @p1420 :rule aci_norm :args ((= (or false @t1189) @t1189))) % 0.93/1.17 (step @p1421 :rule refl :args (@t1189)) % 0.93/1.17 (step @p1422 :rule nary_cong :premises (@p1384 @p1421) :args (@t2063)) % 0.93/1.17 (step @p1423 :rule trans :premises (@p1422 @p1420)) % 0.93/1.17 (step @p1424 :rule cong :premises (@p1423) :args ((forall @t70 @t2063))) % 0.93/1.17 (step @p1425 :rule quant-var-elim-eq :args ((= (forall @t9 @t2065) @t2063))) % 0.93/1.17 (step @p1426 :rule aci_norm :args ((= @t2066 @t2065))) % 0.93/1.17 (step @p1427 :rule cong :premises (@p1426) :args (@t2067)) % 0.93/1.17 (step @p1428 :rule trans :premises (@p1427 @p1425)) % 0.93/1.17 (step @p1429 :rule cong :premises (@p1428) :args (@t2068)) % 0.93/1.17 (step @p1430 :rule quant-merge-prenex :args ((= @t2068 @t2069))) % 0.93/1.17 (step @p1431 :rule symm :premises (@p1430)) % 0.93/1.17 (step @p1432 :rule quant_var_reordering :args ((= (forall @t135 @t2066) @t2069))) % 0.93/1.17 (step @p1433 :rule trans :premises (@p1432 @p1431 @p1429)) % 0.93/1.17 (step @p1434 :rule trans :premises (@p1433 @p1424)) % 0.93/1.17 (step @p1435 :rule cong :premises (@p1196 @p1313) :args (@t2070)) % 0.93/1.17 (step @p1436 :rule nary_cong :premises (@p1409 @p1435) :args (@t2071)) % 0.93/1.17 (step @p1437 :rule cong :premises (@p1436) :args ((forall @t135 @t2071))) % 0.93/1.17 (step @p1438 :rule trans :premises (@p1437 @p1434)) % 0.93/1.17 (step @p1439 :rule bool-impl-elim :args (@t129 @t2070)) % 0.93/1.17 (step @p1440 :rule cong :premises (@p1439) :args ((forall @t135 (=> @t129 @t2070)))) % 0.93/1.17 (step @p1441 :rule trans :premises (@p1440 @p1438)) % 0.93/1.17 (step @p1442 :rule eq-symm :args (@t291 @t279)) % 0.93/1.17 (step @p1443 :rule refl :args (@t129)) % 0.93/1.17 (step @p1444 :rule cong :premises (@p1443 @p1442) :args (@t778)) % 0.93/1.17 (step @p1445 :rule cong :premises (@p1444) :args (@t779)) % 0.93/1.17 (step @p1446 :rule trans :premises (@p1445 @p1441)) % 0.93/1.17 (step @p1447 :rule refl :args (tptp.setukpairinjR11)) % 0.93/1.17 (step @p1448 :rule cong :premises (@p1447 @p1446) :args (@t780)) % 0.93/1.17 (step @p1449 :rule eq_resolve :premises (@p166 @p1448)) % 0.93/1.17 (step @p1450 :rule cong :premises (@p1449 @p1419) :args (@t2072)) % 0.93/1.17 (step @p1451 :rule refl :args (@t739)) % 0.93/1.17 (step @p1452 :rule nary_cong :premises (@p1223 @p1451) :args (@t2073)) % 0.93/1.17 (step @p1453 :rule cong :premises (@p1452) :args ((forall @t771 @t2073))) % 0.93/1.17 (step @p1454 :rule bool-impl-elim :args (@t775 @t739)) % 0.93/1.17 (step @p1455 :rule cong :premises (@p1454) :args (@t776)) % 0.93/1.17 (step @p1456 :rule trans :premises (@p1455 @p1453)) % 0.93/1.17 (step @p1457 :rule refl :args (tptp.setukpairinjL)) % 0.93/1.17 (step @p1458 :rule cong :premises (@p1457 @p1456) :args (@t777)) % 0.93/1.17 (step @p1459 :rule eq_resolve :premises (@p165 @p1458)) % 0.93/1.17 (step @p1460 :rule cong :premises (@p1459 @p1450) :args (@t2074)) % 0.93/1.17 (step @p1461 :rule nary_cong :premises (@p1321 @p1451) :args (@t2075)) % 0.93/1.17 (step @p1462 :rule cong :premises (@p1461) :args ((forall @t771 @t2075))) % 0.93/1.17 (step @p1463 :rule bool-impl-elim :args (@t770 @t739)) % 0.93/1.17 (step @p1464 :rule cong :premises (@p1463) :args (@t772)) % 0.93/1.17 (step @p1465 :rule trans :premises (@p1464 @p1462)) % 0.93/1.17 (step @p1466 :rule refl :args (tptp.setukpairinjL2)) % 0.93/1.17 (step @p1467 :rule cong :premises (@p1466 @p1465) :args (@t773)) % 0.93/1.17 (step @p1468 :rule eq_resolve :premises (@p164 @p1467)) % 0.93/1.17 (step @p1469 :rule cong :premises (@p1468 @p1460) :args (@t2076)) % 0.93/1.17 (step @p1470 :rule refl :args ((tptp.in @t762 @t2))) % 0.93/1.17 (step @p1471 :rule cong :premises (@p880 @p654) :args (@t1193)) % 0.93/1.17 (step @p1472 :rule trans :premises (@p1471 @p1470)) % 0.93/1.17 (step @p1473 :rule ho_cong :premises (@p660 @p880)) % 0.93/1.17 (step @p1474 :rule ho_cong :premises (@p1473 @p654)) % 0.93/1.17 (step @p1475 :rule cong :premises (@p1474 @p1472) :args ((= (_ (_ tptp.in @t1129) @t2) @t1193))) % 0.93/1.17 (step @p1476 :rule symm :premises (@p1475)) % 0.93/1.17 (step @p1477 :rule refl :args (@t763)) % 0.93/1.17 (step @p1478 :rule eq_resolve :premises (@p1477 @p1476)) % 0.93/1.17 (step @p1479 :rule ho_cong :premises (@p660 @p897)) % 0.93/1.17 (step @p1480 :rule ho_cong :premises (@p1479 @p654)) % 0.93/1.17 (step @p1481 :rule trans :premises (@p1480 @p1478)) % 0.93/1.17 (step @p1482 :rule nary_cong :premises (@p914 @p1481) :args (@t2077)) % 0.93/1.17 (step @p1483 :rule cong :premises (@p1482) :args ((forall @t685 @t2077))) % 0.93/1.17 (step @p1484 :rule bool-impl-elim :args (@t683 @t763)) % 0.93/1.17 (step @p1485 :rule cong :premises (@p1484) :args (@t764)) % 0.93/1.17 (step @p1486 :rule trans :premises (@p1485 @p1483)) % 0.93/1.17 (step @p1487 :rule refl :args (tptp.cartprodfstin)) % 0.93/1.17 (step @p1488 :rule cong :premises (@p1487 @p1486) :args (@t765)) % 0.93/1.17 (step @p1489 :rule eq_resolve :premises (@p163 @p1488)) % 0.93/1.17 (step @p1490 :rule cong :premises (@p1489 @p1469) :args (@t2078)) % 0.93/1.17 (step @p1491 :rule cong :premises (@p1007) :args ((forall @t135 @t1982))) % 0.93/1.17 (step @p1492 :rule cong :premises (@p1013) :args (@t760)) % 0.93/1.17 (step @p1493 :rule trans :premises (@p1492 @p1491)) % 0.93/1.17 (step @p1494 :rule refl :args (tptp.kfstpairEq)) % 0.93/1.17 (step @p1495 :rule cong :premises (@p1494 @p1493) :args (@t761)) % 0.93/1.17 (step @p1496 :rule eq_resolve :premises (@p162 @p1495)) % 0.93/1.17 (step @p1497 :rule cong :premises (@p1496 @p1490) :args (@t2079)) % 0.93/1.17 (step @p1498 :rule aci_norm :args ((= (or @t1201 @t1200 false) @t1202))) % 0.93/1.17 (step @p1499 :rule eq-refl :args (@t1199)) % 0.93/1.17 (step @p1500 :rule cong :premises (@p1499) :args (@t2080)) % 0.93/1.17 (step @p1501 :rule trans :premises (@p1500 @p1345)) % 0.93/1.17 (step @p1502 :rule refl :args (@t1200)) % 0.93/1.17 (step @p1503 :rule refl :args (@t1201)) % 0.93/1.17 (step @p1504 :rule nary_cong :premises (@p1503 @p1502 @p1501) :args (@t2081)) % 0.93/1.17 (step @p1505 :rule trans :premises (@p1504 @p1498)) % 0.93/1.17 (step @p1506 :rule cong :premises (@p1505) :args ((forall @t1203 @t2081))) % 0.93/1.17 (step @p1507 :rule quant-var-elim-eq :args ((= (forall @t695 @t2086) @t2081))) % 0.93/1.17 (step @p1508 :rule aci_norm :args ((= @t2087 @t2086))) % 0.93/1.17 (step @p1509 :rule cong :premises (@p1508) :args (@t2088)) % 0.93/1.17 (step @p1510 :rule trans :premises (@p1509 @p1507)) % 0.93/1.17 (step @p1511 :rule cong :premises (@p1510) :args (@t2089)) % 0.93/1.17 (step @p1512 :rule quant-merge-prenex :args ((= @t2089 @t2090))) % 0.93/1.17 (step @p1513 :rule symm :premises (@p1512)) % 0.93/1.17 (step @p1514 :rule quant_var_reordering :args ((= (forall @t2091 @t2087) @t2090))) % 0.93/1.17 (step @p1515 :rule trans :premises (@p1514 @p1513 @p1511)) % 0.93/1.17 (step @p1516 :rule trans :premises (@p1515 @p1506)) % 0.93/1.17 (step @p1517 :rule aci_norm :args ((= @t2093 @t2087))) % 0.93/1.17 (step @p1518 :rule cong :premises (@p1517) :args (@t2094)) % 0.93/1.17 (step @p1519 :rule trans :premises (@p1518 @p1516)) % 0.93/1.17 (step @p1520 :rule quant-merge-prenex :args ((= (forall @t695 @t2095) @t2094))) % 0.93/1.17 (step @p1521 :rule refl :args (@t2085)) % 0.93/1.17 (step @p1522 :rule alpha_equiv :args (@t2096 (@list @t1198) @t2008)) % 0.93/1.17 (step @p1523 :rule nary_cong :premises (@p1522 @p1521) :args (@t2097)) % 0.93/1.17 (step @p1524 :rule quant-miniscope-or :args ((= @t2095 @t2097))) % 0.93/1.17 (step @p1525 :rule trans :premises (@p1524 @p1523)) % 0.93/1.17 (step @p1526 :rule symm :premises (@p1525)) % 0.93/1.17 (step @p1527 :rule cong :premises (@p1526) :args ((forall @t695 (or @t2098 @t2085)))) % 0.93/1.17 (step @p1528 :rule trans :premises (@p1527 @p1520)) % 0.93/1.17 (step @p1529 :rule trans :premises (@p1528 @p1519)) % 0.93/1.17 (step @p1530 :rule refl :args ((tptp.in @t753 @t691))) % 0.93/1.17 (step @p1531 :rule refl :args (@t691)) % 0.93/1.17 (step @p1532 :rule refl :args (@t2084)) % 0.93/1.17 (step @p1533 :rule cong :premises (@p1532 @p1531) :args (@t2085)) % 0.93/1.17 (step @p1534 :rule trans :premises (@p1533 @p1530)) % 0.93/1.17 (step @p1535 :rule ho_cong :premises (@p660 @p1532)) % 0.93/1.17 (step @p1536 :rule ho_cong :premises (@p1535 @p1531)) % 0.93/1.17 (step @p1537 :rule cong :premises (@p1536 @p1534) :args ((= (_ (_ tptp.in @t2084) @t691) @t2085))) % 0.93/1.17 (step @p1538 :rule symm :premises (@p1537)) % 0.93/1.17 (step @p1539 :rule refl :args (@t754)) % 0.93/1.17 (step @p1540 :rule eq_resolve :premises (@p1539 @p1538)) % 0.93/1.17 (step @p1541 :rule refl :args (@t753)) % 0.93/1.17 (step @p1542 :rule cong :premises (@p1541 @p1532) :args ((= @t753 @t2084))) % 0.93/1.17 (step @p1543 :rule symm :premises (@p1542)) % 0.93/1.17 (step @p1544 :rule eq_resolve :premises (@p1541 @p1543)) % 0.93/1.17 (step @p1545 :rule ho_cong :premises (@p660 @p1544)) % 0.93/1.17 (step @p1546 :rule ho_cong :premises (@p1545 @p1531)) % 0.93/1.17 (step @p1547 :rule trans :premises (@p1546 @p1540)) % 0.93/1.17 (step @p1548 :rule refl :args (@t2098)) % 0.93/1.17 (step @p1549 :rule nary_cong :premises (@p1548 @p1547) :args (@t2099)) % 0.93/1.17 (step @p1550 :rule cong :premises (@p1549) :args ((forall @t695 @t2099))) % 0.93/1.17 (step @p1551 :rule trans :premises (@p1550 @p1529)) % 0.93/1.17 (step @p1552 :rule bool-double-not-elim :args (@t2098)) % 0.93/1.17 (step @p1553 :rule nary_cong :premises (@p1552 @p1539) :args ((or (not @t2100) @t754))) % 0.93/1.17 (step @p1554 :rule bool-impl-elim :args (@t2100 @t754)) % 0.93/1.17 (step @p1555 :rule trans :premises (@p1554 @p1553)) % 0.93/1.17 (step @p1556 :rule cong :premises (@p1555) :args ((forall @t695 (=> @t2100 @t754)))) % 0.93/1.17 (step @p1557 :rule trans :premises (@p1556 @p1551)) % 0.93/1.17 (step @p1558 :rule refl :args (@t754)) % 0.93/1.17 (step @p1559 :rule beta-reduce :args ((= @t2101 @t2100))) % 0.93/1.17 (step @p1560 :rule cong :premises (@p1559 @p1558) :args (@t2102)) % 0.93/1.17 (step @p1561 :rule cong :premises (@p1560) :args (@t2103)) % 0.93/1.17 (step @p1562 :rule trans :premises (@p1561 @p1557)) % 0.93/1.17 (step @p1563 :rule refl :args (tptp.theprop)) % 0.93/1.17 (step @p1564 :rule cong :premises (@p1563 @p1562) :args ((= tptp.theprop @t2103))) % 0.93/1.17 (step @p1565 :rule refl :args (@t691)) % 0.93/1.17 (step @p1566 :rule ho_cong :premises (@p1208 @p1565)) % 0.93/1.17 (step @p1567 :rule cong :premises (@p1566 @p1558) :args (@t755)) % 0.93/1.17 (step @p1568 :rule cong :premises (@p1567) :args (@t756)) % 0.93/1.17 (step @p1569 :rule cong :premises (@p1563 @p1568) :args (@t757)) % 0.93/1.17 (step @p1570 :rule trans :premises (@p1569 @p1564)) % 0.93/1.17 (step @p1571 :rule eq_resolve :premises (@p161 @p1570)) % 0.93/1.17 (step @p1572 :rule cong :premises (@p1571 @p1497) :args (@t2104)) % 0.93/1.17 (step @p1573 :rule refl :args (@t1211)) % 0.93/1.17 (step @p1574 :rule nary_cong :premises (@p1100 @p1573) :args (@t2105)) % 0.93/1.17 (step @p1575 :rule cong :premises (@p1574) :args ((forall @t750 @t2105))) % 0.93/1.17 (step @p1576 :rule bool-impl-elim :args (@t688 @t1211)) % 0.93/1.17 (step @p1577 :rule cong :premises (@p1576) :args ((forall @t750 (=> @t688 @t1211)))) % 0.93/1.17 (step @p1578 :rule trans :premises (@p1577 @p1575)) % 0.93/1.17 (step @p1579 :rule refl :args ((tptp.dsetconstr @t746 @t2108))) % 0.93/1.17 (step @p1580 :rule refl :args ((tptp.in @t2106 @t381))) % 0.93/1.17 (step @p1581 :rule refl :args (@t1206)) % 0.93/1.17 (step @p1582 :rule cong :premises (@p1581 @p901) :args (@t1207)) % 0.93/1.17 (step @p1583 :rule trans :premises (@p1582 @p1580)) % 0.93/1.17 (step @p1584 :rule cong :premises (@p1583) :args (@t1209)) % 0.93/1.17 (step @p1585 :rule cong :premises (@p1134 @p1584) :args (@t1210)) % 0.93/1.17 (step @p1586 :rule trans :premises (@p1585 @p1579)) % 0.93/1.17 (step @p1587 :rule ho_cong :premises (@p1138 @p1584)) % 0.93/1.17 (step @p1588 :rule cong :premises (@p1587 @p1586) :args ((= (_ @t2001 @t1209) @t1210))) % 0.93/1.17 (step @p1589 :rule symm :premises (@p1588)) % 0.93/1.17 (step @p1590 :rule refl :args (@t2109)) % 0.93/1.17 (step @p1591 :rule eq_resolve :premises (@p1590 @p1589)) % 0.93/1.17 (step @p1592 :rule ho_cong :premises (@p660 @p1581)) % 0.93/1.17 (step @p1593 :rule ho_cong :premises (@p1592 @p901)) % 0.93/1.17 (step @p1594 :rule cong :premises (@p1593 @p1583) :args ((= (_ (_ tptp.in @t1206) @t381) @t1207))) % 0.93/1.17 (step @p1595 :rule symm :premises (@p1594)) % 0.93/1.17 (step @p1596 :rule refl :args (@t2107)) % 0.93/1.17 (step @p1597 :rule eq_resolve :premises (@p1596 @p1595)) % 0.93/1.17 (step @p1598 :rule refl :args (@t2106)) % 0.93/1.17 (step @p1599 :rule cong :premises (@p1598 @p1581) :args ((= @t2106 @t1206))) % 0.93/1.17 (step @p1600 :rule symm :premises (@p1599)) % 0.93/1.17 (step @p1601 :rule eq_resolve :premises (@p1598 @p1600)) % 0.93/1.17 (step @p1602 :rule ho_cong :premises (@p660 @p1601)) % 0.93/1.17 (step @p1603 :rule ho_cong :premises (@p1602 @p901)) % 0.93/1.17 (step @p1604 :rule trans :premises (@p1603 @p1597)) % 0.93/1.17 (step @p1605 :rule cong :premises (@p1604) :args (@t2108)) % 0.93/1.17 (step @p1606 :rule ho_cong :premises (@p1157 @p1605)) % 0.93/1.17 (step @p1607 :rule trans :premises (@p1606 @p1591)) % 0.93/1.17 (step @p1608 :rule cong :premises (@p1160 @p1607) :args (@t2110)) % 0.93/1.17 (step @p1609 :rule cong :premises (@p1608) :args (@t2111)) % 0.93/1.17 (step @p1610 :rule cong :premises (@p1006 @p1607) :args (@t2112)) % 0.93/1.17 (step @p1611 :rule cong :premises (@p1610) :args (@t2113)) % 0.93/1.17 (step @p1612 :rule nary_cong :premises (@p1611 @p1609) :args (@t2114)) % 0.93/1.17 (step @p1613 :rule cong :premises (@p1612) :args ((forall @t9 @t2114))) % 0.93/1.17 (step @p1614 :rule alpha_equiv :args (@t745 @t2008 (@list @t1205))) % 0.93/1.17 (step @p1615 :rule ho_cong :premises (@p1168 @p1614)) % 0.93/1.17 (step @p1616 :rule cong :premises (@p1160 @p1615) :args (@t2115)) % 0.93/1.17 (step @p1617 :rule cong :premises (@p1616) :args (@t2116)) % 0.93/1.17 (step @p1618 :rule cong :premises (@p1006 @p1615) :args (@t2117)) % 0.93/1.17 (step @p1619 :rule cong :premises (@p1618) :args (@t2118)) % 0.93/1.17 (step @p1620 :rule nary_cong :premises (@p1619 @p1617) :args (@t2119)) % 0.93/1.17 (step @p1621 :rule cong :premises (@p1620) :args ((forall @t9 @t2119))) % 0.93/1.17 (step @p1622 :rule trans :premises (@p1621 @p1613)) % 0.93/1.17 (step @p1623 :rule eq-symm :args (@t748 @t1164)) % 0.93/1.17 (step @p1624 :rule cong :premises (@p1623) :args (@t2120)) % 0.93/1.17 (step @p1625 :rule refl :args (@t2118)) % 0.93/1.17 (step @p1626 :rule nary_cong :premises (@p1625 @p1624) :args (@t2121)) % 0.93/1.17 (step @p1627 :rule cong :premises (@p1626) :args (@t2122)) % 0.93/1.17 (step @p1628 :rule trans :premises (@p1627 @p1622)) % 0.93/1.17 (step @p1629 :rule cong :premises (@p1628) :args (@t2123)) % 0.93/1.17 (step @p1630 :rule beta-reduce :args ((= @t2124 @t2123))) % 0.93/1.17 (step @p1631 :rule trans :premises (@p1630 @p1629)) % 0.93/1.17 (step @p1632 :rule cong :premises (@p1106 @p1631) :args (@t2125)) % 0.93/1.17 (step @p1633 :rule cong :premises (@p1632) :args (@t2126)) % 0.93/1.17 (step @p1634 :rule trans :premises (@p1633 @p1578)) % 0.93/1.17 (step @p1635 :rule refl :args (tptp.kfstsingleton)) % 0.93/1.17 (step @p1636 :rule cong :premises (@p1635 @p1634) :args ((= tptp.kfstsingleton @t2126))) % 0.93/1.17 (step @p1637 :rule refl :args (@t748)) % 0.93/1.17 (step @p1638 :rule ho_cong :premises (@p1208 @p1637)) % 0.93/1.17 (step @p1639 :rule cong :premises (@p1106 @p1638) :args (@t749)) % 0.93/1.17 (step @p1640 :rule cong :premises (@p1639) :args (@t751)) % 0.93/1.17 (step @p1641 :rule cong :premises (@p1635 @p1640) :args (@t752)) % 0.93/1.17 (step @p1642 :rule trans :premises (@p1641 @p1636)) % 0.93/1.17 (step @p1643 :rule eq_resolve :premises (@p160 @p1642)) % 0.93/1.17 (step @p1644 :rule cong :premises (@p1643 @p1572) :args (@t2127)) % 0.93/1.17 (step @p1645 :rule refl :args ((tptp.in @t741 @t618))) % 0.93/1.17 (step @p1646 :rule cong :premises (@p1242 @p1289) :args (@t1213)) % 0.93/1.17 (step @p1647 :rule trans :premises (@p1646 @p1645)) % 0.93/1.17 (step @p1648 :rule ho_cong :premises (@p660 @p1242)) % 0.93/1.17 (step @p1649 :rule ho_cong :premises (@p1648 @p1289)) % 0.93/1.17 (step @p1650 :rule cong :premises (@p1649 @p1647) :args ((= (_ (_ tptp.in @t1173) @t1178) @t1213))) % 0.93/1.17 (step @p1651 :rule symm :premises (@p1650)) % 0.93/1.17 (step @p1652 :rule refl :args (@t742)) % 0.93/1.17 (step @p1653 :rule eq_resolve :premises (@p1652 @p1651)) % 0.93/1.17 (step @p1654 :rule ho_cong :premises (@p660 @p1276)) % 0.93/1.17 (step @p1655 :rule ho_cong :premises (@p1654 @p1319)) % 0.93/1.17 (step @p1656 :rule trans :premises (@p1655 @p1653)) % 0.93/1.17 (step @p1657 :rule cong :premises (@p1656) :args (@t2128)) % 0.93/1.17 (step @p1658 :rule nary_cong :premises (@p1657 @p1451) :args (@t2129)) % 0.93/1.17 (step @p1659 :rule cong :premises (@p1658) :args ((forall @t295 @t2129))) % 0.93/1.17 (step @p1660 :rule bool-impl-elim :args (@t742 @t739)) % 0.93/1.17 (step @p1661 :rule cong :premises (@p1660) :args (@t743)) % 0.93/1.17 (step @p1662 :rule trans :premises (@p1661 @p1659)) % 0.93/1.17 (step @p1663 :rule refl :args (tptp.setukpairinjL1)) % 0.93/1.17 (step @p1664 :rule cong :premises (@p1663 @p1662) :args (@t744)) % 0.93/1.17 (step @p1665 :rule eq_resolve :premises (@p159 @p1664)) % 0.93/1.17 (step @p1666 :rule cong :premises (@p1665 @p1644) :args (@t2130)) % 0.93/1.17 (step @p1667 :rule eq-symm :args (@t1175 @t1164)) % 0.93/1.17 (step @p1668 :rule cong :premises (@p1667) :args (@t2131)) % 0.93/1.17 (step @p1669 :rule nary_cong :premises (@p1668 @p1443) :args (@t2132)) % 0.93/1.17 (step @p1670 :rule cong :premises (@p1669) :args ((forall @t135 @t2132))) % 0.93/1.17 (step @p1671 :rule cong :premises (@p1311 @p1196) :args (@t2133)) % 0.93/1.17 (step @p1672 :rule cong :premises (@p1671) :args (@t2134)) % 0.93/1.17 (step @p1673 :rule nary_cong :premises (@p1672 @p1331) :args (@t2135)) % 0.93/1.17 (step @p1674 :rule cong :premises (@p1673) :args ((forall @t135 @t2135))) % 0.93/1.17 (step @p1675 :rule trans :premises (@p1674 @p1670)) % 0.93/1.17 (step @p1676 :rule bool-impl-elim :args (@t2133 @t129)) % 0.93/1.17 (step @p1677 :rule cong :premises (@p1676) :args ((forall @t135 (=> @t2133 @t129)))) % 0.93/1.17 (step @p1678 :rule trans :premises (@p1677 @p1675)) % 0.93/1.17 (step @p1679 :rule eq-symm :args (@t279 @t275)) % 0.93/1.17 (step @p1680 :rule cong :premises (@p1679 @p1443) :args (@t736)) % 0.93/1.17 (step @p1681 :rule cong :premises (@p1680) :args (@t737)) % 0.93/1.17 (step @p1682 :rule trans :premises (@p1681 @p1678)) % 0.93/1.17 (step @p1683 :rule refl :args (tptp.singletonsuniq)) % 0.93/1.17 (step @p1684 :rule cong :premises (@p1683 @p1682) :args (@t738)) % 0.93/1.17 (step @p1685 :rule eq_resolve :premises (@p158 @p1684)) % 0.93/1.17 (step @p1686 :rule cong :premises (@p1685 @p1666) :args (@t2136)) % 0.93/1.17 (step @p1687 :rule aci_norm :args ((= @t2138 @t1234))) % 0.93/1.17 (step @p1688 :rule cong :premises (@p1687) :args (@t2139)) % 0.93/1.17 (step @p1689 :rule quant-merge-prenex :args ((= (forall @t309 @t2141) @t2139))) % 0.93/1.17 (step @p1690 :rule refl :args (@t1223)) % 0.93/1.17 (step @p1691 :rule alpha_equiv :args (@t2142 (@list @t1216) @t2008)) % 0.93/1.17 (step @p1692 :rule refl :args (@t1233)) % 0.93/1.17 (step @p1693 :rule nary_cong :premises (@p1692 @p1691 @p1690) :args (@t2143)) % 0.93/1.17 (step @p1694 :rule quant-miniscope-or :args ((= @t2141 @t2143))) % 0.93/1.17 (step @p1695 :rule trans :premises (@p1694 @p1693)) % 0.93/1.17 (step @p1696 :rule symm :premises (@p1695)) % 0.93/1.17 (step @p1697 :rule cong :premises (@p1696) :args ((forall @t309 @t2144))) % 0.93/1.17 (step @p1698 :rule trans :premises (@p1697 @p1689)) % 0.93/1.17 (step @p1699 :rule trans :premises (@p1698 @p1688)) % 0.93/1.17 (step @p1700 :rule aci_norm :args ((= (or @t1233 (or @t1252 @t1223)) @t2144))) % 0.93/1.17 (step @p1701 :rule bool-double-not-elim :args (@t1252)) % 0.93/1.17 (step @p1702 :rule nary_cong :premises (@p1701 @p1690) :args ((or @t2145 @t1223))) % 0.93/1.17 (step @p1703 :rule bool-impl-elim :args (@t1253 @t1223)) % 0.93/1.17 (step @p1704 :rule trans :premises (@p1703 @p1702)) % 0.93/1.17 (step @p1705 :rule nary_cong :premises (@p1692 @p1704) :args ((or @t1233 @t2146))) % 0.93/1.17 (step @p1706 :rule trans :premises (@p1705 @p1700)) % 0.93/1.17 (step @p1707 :rule bool-impl-elim :args (@t1232 @t2146)) % 0.93/1.17 (step @p1708 :rule trans :premises (@p1707 @p1706)) % 0.93/1.17 (step @p1709 :rule cong :premises (@p1708) :args ((forall @t309 (=> @t1232 @t2146)))) % 0.93/1.17 (step @p1710 :rule trans :premises (@p1709 @p1699)) % 0.93/1.17 (step @p1711 :rule lambda-elim :args ((= @t2150 @t143))) % 0.93/1.17 (step @p1712 :rule cong :premises (@p637 @p1711) :args (@t2151)) % 0.93/1.17 (step @p1713 :rule refl :args (@t1164)) % 0.93/1.17 (step @p1714 :rule cong :premises (@p1713 @p1712) :args (@t2152)) % 0.93/1.17 (step @p1715 :rule cong :premises (@p1714) :args (@t2153)) % 0.93/1.17 (step @p1716 :rule refl :args (@t4)) % 0.93/1.17 (step @p1717 :rule cong :premises (@p1716 @p1712) :args (@t2154)) % 0.93/1.17 (step @p1718 :rule cong :premises (@p1717) :args (@t2155)) % 0.93/1.17 (step @p1719 :rule nary_cong :premises (@p1718 @p1715) :args (@t2156)) % 0.93/1.17 (step @p1720 :rule cong :premises (@p1719) :args ((forall @t9 @t2156))) % 0.93/1.17 (step @p1721 :rule refl :args (@t2148)) % 0.93/1.17 (step @p1722 :rule refl :args (@t2157)) % 0.93/1.17 (step @p1723 :rule cong :premises (@p1722 @p1721) :args ((= @t2157 @t2148))) % 0.93/1.17 (step @p1724 :rule symm :premises (@p1723)) % 0.93/1.17 (step @p1725 :rule eq_resolve :premises (@p1722 @p1724)) % 0.93/1.17 (step @p1726 :rule cong :premises (@p1725) :args (@t2158)) % 0.93/1.17 (step @p1727 :rule cong :premises (@p654 @p1726) :args (@t2159)) % 0.93/1.17 (step @p1728 :rule cong :premises (@p1160 @p1727) :args (@t2160)) % 0.93/1.17 (step @p1729 :rule cong :premises (@p1728) :args (@t2161)) % 0.93/1.17 (step @p1730 :rule cong :premises (@p1006 @p1727) :args (@t2162)) % 0.93/1.17 (step @p1731 :rule cong :premises (@p1730) :args (@t2163)) % 0.93/1.17 (step @p1732 :rule nary_cong :premises (@p1731 @p1729) :args (@t2164)) % 0.93/1.17 (step @p1733 :rule cong :premises (@p1732) :args ((forall @t9 @t2164))) % 0.93/1.17 (step @p1734 :rule trans :premises (@p1733 @p1720)) % 0.93/1.17 (step @p1735 :rule alpha_equiv :args (@t145 @t2008 (@list @t2147))) % 0.93/1.17 (step @p1736 :rule cong :premises (@p654 @p1735) :args (@t2165)) % 0.93/1.17 (step @p1737 :rule cong :premises (@p1160 @p1736) :args (@t2166)) % 0.93/1.17 (step @p1738 :rule cong :premises (@p1737) :args (@t2167)) % 0.93/1.17 (step @p1739 :rule cong :premises (@p1006 @p1736) :args (@t2168)) % 0.93/1.17 (step @p1740 :rule cong :premises (@p1739) :args (@t2169)) % 0.93/1.17 (step @p1741 :rule nary_cong :premises (@p1740 @p1738) :args (@t2170)) % 0.93/1.17 (step @p1742 :rule cong :premises (@p1741) :args (@t2171)) % 0.93/1.17 (step @p1743 :rule trans :premises (@p1742 @p1734)) % 0.93/1.17 (step @p1744 :rule cong :premises (@p1743) :args (@t2172)) % 0.93/1.17 (step @p1745 :rule beta-reduce :args ((= (_ @t2173 @t145) @t2172))) % 0.93/1.17 (step @p1746 :rule trans :premises (@p1745 @p1744)) % 0.93/1.17 (step @p1747 :rule refl :args (@t145)) % 0.93/1.17 (step @p1748 :rule beta-reduce :args ((= @t2175 @t2173))) % 0.93/1.17 (step @p1749 :rule ho_cong :premises (@p1748 @p1747)) % 0.93/1.17 (step @p1750 :rule trans :premises (@p1749 @p1746)) % 0.93/1.17 (step @p1751 :rule refl :args (@t1228)) % 0.93/1.17 (step @p1752 :rule refl :args (@t144)) % 0.93/1.17 (step @p1753 :rule cong :premises (@p1752 @p1751) :args ((= @t144 @t1228))) % 0.93/1.17 (step @p1754 :rule symm :premises (@p1753)) % 0.93/1.17 (step @p1755 :rule eq_resolve :premises (@p1752 @p1754)) % 0.93/1.17 (step @p1756 :rule cong :premises (@p1755) :args (@t315)) % 0.93/1.17 (step @p1757 :rule nary_cong :premises (@p747 @p1756) :args (@t2176)) % 0.93/1.17 (step @p1758 :rule cong :premises (@p1757) :args ((forall @t9 @t2176))) % 0.93/1.17 (step @p1759 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 0.93/1.17 (step @p1760 :rule cong :premises (@p1759) :args (@t2177)) % 0.93/1.17 (step @p1761 :rule trans :premises (@p1760 @p1758)) % 0.93/1.17 (step @p1762 :rule cong :premises (@p1761) :args (@t2178)) % 0.93/1.17 (step @p1763 :rule exists-elim :args ((= @t307 @t2178))) % 0.93/1.17 (step @p1764 :rule trans :premises (@p1763 @p1762)) % 0.93/1.17 (step @p1765 :rule cong :premises (@p1764 @p1750) :args (@t2180)) % 0.93/1.17 (step @p1766 :rule aci_norm :args ((= @t2182 @t1230))) % 0.93/1.17 (step @p1767 :rule cong :premises (@p1766) :args (@t2183)) % 0.93/1.17 (step @p1768 :rule quant-merge-prenex :args ((= (forall @t9 @t2185) @t2183))) % 0.93/1.17 (step @p1769 :rule alpha_equiv :args (@t2186 (@list @t1224) @t1924)) % 0.93/1.17 (step @p1770 :rule refl :args (@t1229)) % 0.93/1.17 (step @p1771 :rule nary_cong :premises (@p738 @p1770 @p1769) :args (@t2187)) % 0.93/1.17 (step @p1772 :rule quant-miniscope-or :args ((= @t2185 @t2187))) % 0.93/1.17 (step @p1773 :rule trans :premises (@p1772 @p1771)) % 0.93/1.17 (step @p1774 :rule symm :premises (@p1773)) % 0.93/1.17 (step @p1775 :rule cong :premises (@p1774) :args ((forall @t9 (or @t1102 @t1229 @t1246)))) % 0.93/1.17 (step @p1776 :rule trans :premises (@p1775 @p1768)) % 0.93/1.17 (step @p1777 :rule trans :premises (@p1776 @p1767)) % 0.93/1.17 (step @p1778 :rule refl :args (@t1246)) % 0.93/1.17 (step @p1779 :rule nary_cong :premises (@p747 @p1756 @p1778) :args (@t2188)) % 0.93/1.17 (step @p1780 :rule cong :premises (@p1779) :args ((forall @t9 @t2188))) % 0.93/1.17 (step @p1781 :rule trans :premises (@p1780 @p1777)) % 0.93/1.17 (step @p1782 :rule aci_norm :args ((= (or @t197 @t2189) @t2188))) % 0.93/1.17 (step @p1783 :rule bool-impl-elim :args (@t7 @t2189)) % 0.93/1.17 (step @p1784 :rule trans :premises (@p1783 @p1782)) % 0.93/1.17 (step @p1785 :rule cong :premises (@p1784) :args ((forall @t9 (=> @t7 @t2189)))) % 0.93/1.17 (step @p1786 :rule trans :premises (@p1785 @p1781)) % 0.93/1.17 (step @p1787 :rule refl :args (@t1242)) % 0.93/1.17 (step @p1788 :rule refl :args (@t153)) % 0.93/1.17 (step @p1789 :rule cong :premises (@p1788 @p1787) :args ((= @t153 @t1242))) % 0.93/1.17 (step @p1790 :rule symm :premises (@p1789)) % 0.93/1.17 (step @p1791 :rule eq_resolve :premises (@p1788 @p1790)) % 0.93/1.17 (step @p1792 :rule cong :premises (@p1791) :args (@t2190)) % 0.93/1.17 (step @p1793 :rule refl :args (@t1244)) % 0.93/1.17 (step @p1794 :rule refl :args (@t21)) % 0.93/1.17 (step @p1795 :rule cong :premises (@p1794 @p1793) :args ((= @t21 @t1244))) % 0.93/1.17 (step @p1796 :rule symm :premises (@p1795)) % 0.93/1.17 (step @p1797 :rule eq_resolve :premises (@p1794 @p1796)) % 0.93/1.17 (step @p1798 :rule cong :premises (@p1797) :args (@t2191)) % 0.93/1.17 (step @p1799 :rule nary_cong :premises (@p1798 @p1792 @p1331) :args (@t2192)) % 0.93/1.17 (step @p1800 :rule cong :premises (@p1799) :args (@t2193)) % 0.93/1.17 (step @p1801 :rule refl :args (@t315)) % 0.93/1.17 (step @p1802 :rule nary_cong :premises (@p1801 @p1800) :args (@t2194)) % 0.93/1.17 (step @p1803 :rule quant-miniscope-or :args ((= (forall @t70 @t2195) @t2194))) % 0.93/1.17 (step @p1804 :rule aci_norm :args ((= @t2196 @t2195))) % 0.93/1.17 (step @p1805 :rule cong :premises (@p1804) :args ((forall @t70 @t2196))) % 0.93/1.17 (step @p1806 :rule trans :premises (@p1805 @p1803)) % 0.93/1.17 (step @p1807 :rule trans :premises (@p1806 @p1802)) % 0.93/1.17 (step @p1808 :rule aci_norm :args ((= (or @t2191 @t2197) @t2196))) % 0.93/1.17 (step @p1809 :rule aci_norm :args ((= (or @t315 @t2198) @t2197))) % 0.93/1.17 (step @p1810 :rule bool-impl-elim :args (@t153 @t129)) % 0.93/1.17 (step @p1811 :rule refl :args (@t315)) % 0.93/1.17 (step @p1812 :rule nary_cong :premises (@p1811 @p1810) :args ((or @t315 @t166))) % 0.93/1.17 (step @p1813 :rule trans :premises (@p1812 @p1809)) % 0.93/1.17 (step @p1814 :rule bool-impl-elim :args (@t144 @t166)) % 0.93/1.17 (step @p1815 :rule trans :premises (@p1814 @p1813)) % 0.93/1.17 (step @p1816 :rule refl :args (@t2191)) % 0.93/1.17 (step @p1817 :rule nary_cong :premises (@p1816 @p1815) :args ((or @t2191 @t343))) % 0.93/1.17 (step @p1818 :rule trans :premises (@p1817 @p1808)) % 0.93/1.17 (step @p1819 :rule bool-impl-elim :args (@t21 @t343)) % 0.93/1.17 (step @p1820 :rule trans :premises (@p1819 @p1818)) % 0.93/1.17 (step @p1821 :rule cong :premises (@p1820) :args (@t713)) % 0.93/1.17 (step @p1822 :rule trans :premises (@p1821 @p1807)) % 0.93/1.17 (step @p1823 :rule cong :premises (@p769 @p1822) :args (@t714)) % 0.93/1.17 (step @p1824 :rule cong :premises (@p1823) :args (@t715)) % 0.93/1.17 (step @p1825 :rule trans :premises (@p1824 @p1786)) % 0.93/1.17 (step @p1826 :rule cong :premises (@p1825 @p1765) :args (@t2199)) % 0.93/1.17 (step @p1827 :rule cong :premises (@p1826) :args (@t2200)) % 0.93/1.17 (step @p1828 :rule trans :premises (@p1827 @p1710)) % 0.93/1.17 (step @p1829 :rule refl :args (tptp.ex1I2)) % 0.93/1.17 (step @p1830 :rule cong :premises (@p1829 @p1828) :args ((= tptp.ex1I2 @t2200))) % 0.93/1.17 (step @p1831 :rule lambda-elim :args ((= @t2204 @t143))) % 0.93/1.17 (step @p1832 :rule cong :premises (@p637 @p1831) :args (@t2205)) % 0.93/1.17 (step @p1833 :rule cong :premises (@p1713 @p1832) :args (@t2206)) % 0.93/1.17 (step @p1834 :rule cong :premises (@p1833) :args (@t2207)) % 0.93/1.17 (step @p1835 :rule cong :premises (@p1716 @p1832) :args (@t2208)) % 0.93/1.17 (step @p1836 :rule cong :premises (@p1835) :args (@t2209)) % 0.93/1.17 (step @p1837 :rule nary_cong :premises (@p1836 @p1834) :args (@t2210)) % 0.93/1.17 (step @p1838 :rule cong :premises (@p1837) :args ((forall @t9 @t2210))) % 0.93/1.17 (step @p1839 :rule refl :args ((tptp.dsetconstr @t2 @t2212))) % 0.93/1.17 (step @p1840 :rule refl :args (@t2202)) % 0.93/1.17 (step @p1841 :rule cong :premises (@p1840) :args (@t2204)) % 0.93/1.17 (step @p1842 :rule cong :premises (@p654 @p1841) :args (@t2205)) % 0.93/1.17 (step @p1843 :rule trans :premises (@p1842 @p1839)) % 0.93/1.17 (step @p1844 :rule refl :args (@t155)) % 0.93/1.17 (step @p1845 :rule ho_cong :premises (@p1844 @p1841)) % 0.93/1.17 (step @p1846 :rule cong :premises (@p1845 @p1843) :args ((= (_ @t155 @t2204) @t2205))) % 0.93/1.17 (step @p1847 :rule symm :premises (@p1846)) % 0.93/1.17 (step @p1848 :rule refl :args (@t2213)) % 0.93/1.17 (step @p1849 :rule eq_resolve :premises (@p1848 @p1847)) % 0.93/1.17 (step @p1850 :rule refl :args (@t2211)) % 0.93/1.17 (step @p1851 :rule cong :premises (@p1850 @p1840) :args ((= @t2211 @t2202))) % 0.93/1.17 (step @p1852 :rule symm :premises (@p1851)) % 0.93/1.17 (step @p1853 :rule eq_resolve :premises (@p1850 @p1852)) % 0.93/1.17 (step @p1854 :rule cong :premises (@p1853) :args (@t2212)) % 0.93/1.17 (step @p1855 :rule ho_cong :premises (@p1844 @p1854)) % 0.93/1.17 (step @p1856 :rule trans :premises (@p1855 @p1849)) % 0.93/1.17 (step @p1857 :rule cong :premises (@p1160 @p1856) :args (@t2214)) % 0.93/1.17 (step @p1858 :rule cong :premises (@p1857) :args (@t2215)) % 0.93/1.17 (step @p1859 :rule cong :premises (@p1006 @p1856) :args (@t2216)) % 0.93/1.17 (step @p1860 :rule cong :premises (@p1859) :args (@t2217)) % 0.93/1.17 (step @p1861 :rule nary_cong :premises (@p1860 @p1858) :args (@t2218)) % 0.93/1.17 (step @p1862 :rule cong :premises (@p1861) :args ((forall @t9 @t2218))) % 0.93/1.17 (step @p1863 :rule trans :premises (@p1862 @p1838)) % 0.93/1.17 (step @p1864 :rule eq-symm :args (@t2213 @t1164)) % 0.93/1.17 (step @p1865 :rule cong :premises (@p1864) :args (@t2219)) % 0.93/1.17 (step @p1866 :rule refl :args (@t2217)) % 0.93/1.17 (step @p1867 :rule nary_cong :premises (@p1866 @p1865) :args (@t2220)) % 0.93/1.17 (step @p1868 :rule cong :premises (@p1867) :args ((forall @t9 @t2220))) % 0.93/1.17 (step @p1869 :rule trans :premises (@p1868 @p1863)) % 0.93/1.17 (step @p1870 :rule alpha_equiv :args (@t145 @t2008 (@list @t2201))) % 0.93/1.17 (step @p1871 :rule ho_cong :premises (@p1844 @p1870)) % 0.93/1.17 (step @p1872 :rule cong :premises (@p1871 @p1160) :args (@t2221)) % 0.93/1.17 (step @p1873 :rule cong :premises (@p1872) :args (@t2222)) % 0.93/1.17 (step @p1874 :rule cong :premises (@p1006 @p1871) :args (@t2223)) % 0.93/1.17 (step @p1875 :rule cong :premises (@p1874) :args (@t2224)) % 0.93/1.17 (step @p1876 :rule nary_cong :premises (@p1875 @p1873) :args (@t2225)) % 0.93/1.17 (step @p1877 :rule cong :premises (@p1876) :args (@t2226)) % 0.93/1.17 (step @p1878 :rule trans :premises (@p1877 @p1869)) % 0.93/1.17 (step @p1879 :rule cong :premises (@p1878) :args (@t2227)) % 0.93/1.17 (step @p1880 :rule beta-reduce :args ((= @t2228 @t2227))) % 0.93/1.17 (step @p1881 :rule trans :premises (@p1880 @p1879)) % 0.93/1.17 (step @p1882 :rule refl :args (@t304)) % 0.93/1.17 (step @p1883 :rule ho_cong :premises (@p1208 @p1882)) % 0.93/1.17 (step @p1884 :rule trans :premises (@p1883 @p1881)) % 0.93/1.17 (step @p1885 :rule cong :premises (@p1884) :args (@t1075)) % 0.93/1.17 (step @p1886 :rule trans :premises (@p194 @p1885)) % 0.93/1.17 (step @p1887 :rule ho_cong :premises (@p1886 @p637)) % 0.93/1.17 (step @p1888 :rule ho_cong :premises (@p1887 @p1747)) % 0.93/1.17 (step @p1889 :rule refl :args (@t307)) % 0.93/1.17 (step @p1890 :rule cong :premises (@p1889 @p1888) :args (@t732)) % 0.93/1.17 (step @p1891 :rule refl :args (@t715)) % 0.93/1.17 (step @p1892 :rule cong :premises (@p1891 @p1890) :args (@t733)) % 0.93/1.17 (step @p1893 :rule cong :premises (@p1892) :args (@t734)) % 0.93/1.17 (step @p1894 :rule cong :premises (@p1829 @p1893) :args (@t735)) % 0.93/1.17 (step @p1895 :rule trans :premises (@p1894 @p1830)) % 0.93/1.17 (step @p1896 :rule eq_resolve :premises (@p157 @p1895)) % 0.93/1.17 (step @p1897 :rule cong :premises (@p1896 @p1686) :args (@t2229)) % 0.93/1.17 (step @p1898 :rule refl :args (@t1241)) % 0.93/1.17 (step @p1899 :rule refl :args (@t1247)) % 0.93/1.17 (step @p1900 :rule nary_cong :premises (@p747 @p1756 @p1899 @p1898) :args (@t2230)) % 0.93/1.17 (step @p1901 :rule cong :premises (@p1900) :args ((forall @t159 @t2230))) % 0.93/1.17 (step @p1902 :rule aci_norm :args ((= (or @t197 @t2231) @t2230))) % 0.93/1.17 (step @p1903 :rule aci_norm :args ((= (or @t315 (or @t1247 @t1241)) @t2231))) % 0.93/1.17 (step @p1904 :rule bool-impl-elim :args (@t1246 @t1241)) % 0.93/1.17 (step @p1905 :rule nary_cong :premises (@p1811 @p1904) :args ((or @t315 @t2232))) % 0.93/1.17 (step @p1906 :rule trans :premises (@p1905 @p1903)) % 0.93/1.17 (step @p1907 :rule bool-impl-elim :args (@t144 @t2232)) % 0.93/1.17 (step @p1908 :rule trans :premises (@p1907 @p1906)) % 0.93/1.17 (step @p1909 :rule refl :args (@t197)) % 0.93/1.17 (step @p1910 :rule nary_cong :premises (@p1909 @p1908) :args ((or @t197 @t2233))) % 0.93/1.17 (step @p1911 :rule trans :premises (@p1910 @p1902)) % 0.93/1.17 (step @p1912 :rule bool-impl-elim :args (@t7 @t2233)) % 0.93/1.17 (step @p1913 :rule trans :premises (@p1912 @p1911)) % 0.93/1.17 (step @p1914 :rule cong :premises (@p1913) :args ((forall @t159 (=> @t7 @t2233)))) % 0.93/1.17 (step @p1915 :rule trans :premises (@p1914 @p1901)) % 0.93/1.17 (step @p1916 :rule eq-symm :args (@t1238 @t1219)) % 0.93/1.17 (step @p1917 :rule cong :premises (@p1916) :args (@t2234)) % 0.93/1.17 (step @p1918 :rule refl :args (@t1239)) % 0.93/1.17 (step @p1919 :rule nary_cong :premises (@p1918 @p1917) :args (@t2235)) % 0.93/1.17 (step @p1920 :rule cong :premises (@p1919) :args (@t2236)) % 0.93/1.17 (step @p1921 :rule cong :premises (@p1920) :args (@t2237)) % 0.93/1.17 (step @p1922 :rule refl :args (@t1246)) % 0.93/1.17 (step @p1923 :rule cong :premises (@p1922 @p1921) :args (@t2238)) % 0.93/1.17 (step @p1924 :rule refl :args (@t144)) % 0.93/1.17 (step @p1925 :rule cong :premises (@p1924 @p1923) :args (@t2239)) % 0.93/1.17 (step @p1926 :rule cong :premises (@p769 @p1925) :args (@t2240)) % 0.93/1.17 (step @p1927 :rule cong :premises (@p1926) :args ((forall @t159 @t2240))) % 0.93/1.17 (step @p1928 :rule trans :premises (@p1927 @p1915)) % 0.93/1.17 (step @p1929 :rule alpha_equiv :args (@t1222 @t2008 (@list @t1237))) % 0.93/1.17 (step @p1930 :rule cong :premises (@p1929) :args (@t1223)) % 0.93/1.17 (step @p1931 :rule cong :premises (@p1778 @p1930) :args (@t2241)) % 0.93/1.17 (step @p1932 :rule cong :premises (@p1752 @p1931) :args (@t2242)) % 0.93/1.17 (step @p1933 :rule cong :premises (@p720 @p1932) :args (@t2243)) % 0.93/1.17 (step @p1934 :rule cong :premises (@p1933) :args ((forall @t159 @t2243))) % 0.93/1.17 (step @p1935 :rule trans :premises (@p1934 @p1928)) % 0.93/1.17 (step @p1936 :rule lambda-elim :args ((= @t2244 @t143))) % 0.93/1.17 (step @p1937 :rule cong :premises (@p637 @p1936) :args (@t2245)) % 0.93/1.17 (step @p1938 :rule cong :premises (@p1713 @p1937) :args (@t2246)) % 0.93/1.17 (step @p1939 :rule cong :premises (@p1938) :args (@t2247)) % 0.93/1.17 (step @p1940 :rule cong :premises (@p1716 @p1937) :args (@t2248)) % 0.93/1.17 (step @p1941 :rule cong :premises (@p1940) :args (@t2249)) % 0.93/1.17 (step @p1942 :rule nary_cong :premises (@p1941 @p1939) :args (@t2250)) % 0.93/1.17 (step @p1943 :rule cong :premises (@p1942) :args ((forall @t9 @t2250))) % 0.93/1.17 (step @p1944 :rule cong :premises (@p1791) :args (@t154)) % 0.93/1.17 (step @p1945 :rule cong :premises (@p654 @p1944) :args (@t2251)) % 0.93/1.17 (step @p1946 :rule cong :premises (@p1160 @p1945) :args (@t2252)) % 0.93/1.17 (step @p1947 :rule cong :premises (@p1946) :args (@t2253)) % 0.93/1.17 (step @p1948 :rule cong :premises (@p1006 @p1945) :args (@t2254)) % 0.93/1.17 (step @p1949 :rule cong :premises (@p1948) :args (@t2255)) % 0.93/1.17 (step @p1950 :rule nary_cong :premises (@p1949 @p1947) :args (@t2256)) % 0.93/1.17 (step @p1951 :rule cong :premises (@p1950) :args (@t2257)) % 0.93/1.17 (step @p1952 :rule trans :premises (@p1951 @p1943)) % 0.93/1.17 (step @p1953 :rule cong :premises (@p1952) :args (@t2258)) % 0.93/1.17 (step @p1954 :rule beta-reduce :args ((= (_ @t2173 @t154) @t2258))) % 0.93/1.17 (step @p1955 :rule trans :premises (@p1954 @p1953)) % 0.93/1.17 (step @p1956 :rule refl :args (@t154)) % 0.93/1.17 (step @p1957 :rule ho_cong :premises (@p1748 @p1956)) % 0.93/1.17 (step @p1958 :rule trans :premises (@p1957 @p1955)) % 0.93/1.17 (step @p1959 :rule aci_norm :args ((= (or @t2191 @t2198) @t2192))) % 0.93/1.17 (step @p1960 :rule nary_cong :premises (@p1816 @p1810) :args ((or @t2191 @t166))) % 0.93/1.17 (step @p1961 :rule trans :premises (@p1960 @p1959)) % 0.93/1.17 (step @p1962 :rule bool-impl-elim :args (@t21 @t166)) % 0.93/1.17 (step @p1963 :rule trans :premises (@p1962 @p1961)) % 0.93/1.17 (step @p1964 :rule cong :premises (@p1963) :args ((forall @t70 (=> @t21 @t166)))) % 0.93/1.17 (step @p1965 :rule trans :premises (@p1964 @p1800)) % 0.93/1.17 (step @p1966 :rule eq-symm :args (@t19 @t4)) % 0.93/1.17 (step @p1967 :rule refl :args (@t153)) % 0.93/1.17 (step @p1968 :rule cong :premises (@p1967 @p1966) :args (@t724)) % 0.93/1.17 (step @p1969 :rule refl :args (@t21)) % 0.93/1.17 (step @p1970 :rule cong :premises (@p1969 @p1968) :args (@t725)) % 0.93/1.17 (step @p1971 :rule cong :premises (@p1970) :args (@t726)) % 0.93/1.17 (step @p1972 :rule trans :premises (@p1971 @p1965)) % 0.93/1.17 (step @p1973 :rule cong :premises (@p1972 @p1958) :args (@t2259)) % 0.93/1.17 (step @p1974 :rule cong :premises (@p1924 @p1973) :args (@t2260)) % 0.93/1.17 (step @p1975 :rule cong :premises (@p769 @p1974) :args (@t2261)) % 0.93/1.17 (step @p1976 :rule cong :premises (@p1975) :args (@t2262)) % 0.93/1.17 (step @p1977 :rule trans :premises (@p1976 @p1935)) % 0.93/1.17 (step @p1978 :rule refl :args (tptp.ex1I)) % 0.93/1.17 (step @p1979 :rule cong :premises (@p1978 @p1977) :args ((= tptp.ex1I @t2262))) % 0.93/1.17 (step @p1980 :rule ho_cong :premises (@p1887 @p1956)) % 0.93/1.17 (step @p1981 :rule refl :args (@t726)) % 0.93/1.17 (step @p1982 :rule cong :premises (@p1981 @p1980) :args (@t727)) % 0.93/1.17 (step @p1983 :rule cong :premises (@p1924 @p1982) :args (@t728)) % 0.93/1.17 (step @p1984 :rule cong :premises (@p769 @p1983) :args (@t729)) % 0.93/1.17 (step @p1985 :rule cong :premises (@p1984) :args (@t730)) % 0.93/1.17 (step @p1986 :rule cong :premises (@p1978 @p1985) :args (@t731)) % 0.93/1.17 (step @p1987 :rule trans :premises (@p1986 @p1979)) % 0.93/1.17 (step @p1988 :rule eq_resolve :premises (@p156 @p1987)) % 0.93/1.17 (step @p1989 :rule cong :premises (@p1988 @p1897) :args (@t2263)) % 0.93/1.17 (step @p1990 :rule eq-symm :args (@t1250 @t1219)) % 0.93/1.17 (step @p1991 :rule cong :premises (@p1990) :args (@t2264)) % 0.93/1.17 (step @p1992 :rule refl :args (@t1251)) % 0.93/1.17 (step @p1993 :rule refl :args (@t1253)) % 0.93/1.17 (step @p1994 :rule nary_cong :premises (@p1993 @p1992 @p1991) :args (@t2265)) % 0.93/1.17 (step @p1995 :rule aci_norm :args ((= @t2267 @t2265))) % 0.93/1.17 (step @p1996 :rule trans :premises (@p1995 @p1994)) % 0.93/1.17 (step @p1997 :rule cong :premises (@p1996) :args (@t2268)) % 0.93/1.17 (step @p1998 :rule quant-merge-prenex :args ((= (forall @t309 @t2270) @t2268))) % 0.93/1.17 (step @p1999 :rule refl :args (@t1253)) % 0.93/1.17 (step @p2000 :rule alpha_equiv :args (@t2271 (@list @t1249) @t2008)) % 0.93/1.17 (step @p2001 :rule nary_cong :premises (@p2000 @p1999) :args (@t2272)) % 0.93/1.17 (step @p2002 :rule quant-miniscope-or :args ((= @t2270 @t2272))) % 0.93/1.17 (step @p2003 :rule trans :premises (@p2002 @p2001)) % 0.93/1.17 (step @p2004 :rule symm :premises (@p2003)) % 0.93/1.17 (step @p2005 :rule cong :premises (@p2004) :args ((forall @t309 (or @t1222 @t1253)))) % 0.93/1.17 (step @p2006 :rule trans :premises (@p2005 @p1998)) % 0.93/1.17 (step @p2007 :rule trans :premises (@p2006 @p1997)) % 0.93/1.17 (step @p2008 :rule bool-double-not-elim :args (@t1222)) % 0.93/1.17 (step @p2009 :rule nary_cong :premises (@p2008 @p1999) :args ((or (not @t1223) @t1253))) % 0.93/1.17 (step @p2010 :rule bool-impl-elim :args (@t1223 @t1253)) % 0.93/1.17 (step @p2011 :rule trans :premises (@p2010 @p2009)) % 0.93/1.17 (step @p2012 :rule cong :premises (@p2011) :args ((forall @t309 (=> @t1223 @t1253)))) % 0.93/1.17 (step @p2013 :rule trans :premises (@p2012 @p2007)) % 0.93/1.17 (step @p2014 :rule cong :premises (@p1750 @p1764) :args (@t2273)) % 0.93/1.17 (step @p2015 :rule cong :premises (@p2014) :args (@t2274)) % 0.93/1.17 (step @p2016 :rule trans :premises (@p2015 @p2013)) % 0.93/1.17 (step @p2017 :rule refl :args (tptp.ex1E1)) % 0.93/1.17 (step @p2018 :rule cong :premises (@p2017 @p2016) :args ((= tptp.ex1E1 @t2274))) % 0.93/1.17 (step @p2019 :rule cong :premises (@p1888 @p1889) :args (@t721)) % 0.93/1.17 (step @p2020 :rule cong :premises (@p2019) :args (@t722)) % 0.93/1.17 (step @p2021 :rule cong :premises (@p2017 @p2020) :args (@t723)) % 0.93/1.17 (step @p2022 :rule trans :premises (@p2021 @p2018)) % 0.93/1.17 (step @p2023 :rule eq_resolve :premises (@p155 @p2022)) % 0.93/1.17 (step @p2024 :rule cong :premises (@p2023 @p1989) :args (@t2275)) % 0.93/1.17 (step @p2025 :rule cong :premises (@p1764 @p1881) :args (@t2276)) % 0.93/1.17 (step @p2026 :rule cong :premises (@p1825 @p2025) :args (@t2277)) % 0.93/1.17 (step @p2027 :rule cong :premises (@p2026) :args (@t2278)) % 0.93/1.17 (step @p2028 :rule trans :premises (@p2027 @p1710)) % 0.93/1.17 (step @p2029 :rule refl :args (tptp.singletonprop)) % 0.93/1.17 (step @p2030 :rule cong :premises (@p2029 @p2028) :args ((= tptp.singletonprop @t2278))) % 0.93/1.17 (step @p2031 :rule cong :premises (@p1889 @p1883) :args (@t712)) % 0.93/1.17 (step @p2032 :rule cong :premises (@p1891 @p2031) :args (@t716)) % 0.93/1.17 (step @p2033 :rule cong :premises (@p2032) :args (@t717)) % 0.93/1.17 (step @p2034 :rule cong :premises (@p2029 @p2033) :args (@t718)) % 0.93/1.17 (step @p2035 :rule trans :premises (@p2034 @p2030)) % 0.93/1.17 (step @p2036 :rule eq_resolve :premises (@p154 @p2035)) % 0.93/1.17 (step @p2037 :rule cong :premises (@p2036 @p2024) :args (@t2279)) % 0.93/1.17 (step @p2038 :rule refl :args ((tptp.setunion @t279))) % 0.93/1.17 (step @p2039 :rule cong :premises (@p1192) :args (@t1256)) % 0.93/1.17 (step @p2040 :rule trans :premises (@p2039 @p2038)) % 0.93/1.17 (step @p2041 :rule refl :args (tptp.setunion)) % 0.93/1.17 (step @p2042 :rule ho_cong :premises (@p2041 @p1192)) % 0.93/1.17 (step @p2043 :rule cong :premises (@p2042 @p2040) :args ((= (_ tptp.setunion @t1164) @t1256))) % 0.93/1.17 (step @p2044 :rule symm :premises (@p2043)) % 0.93/1.17 (step @p2045 :rule refl :args (@t708)) % 0.93/1.17 (step @p2046 :rule eq_resolve :premises (@p2045 @p2044)) % 0.93/1.17 (step @p2047 :rule ho_cong :premises (@p2041 @p1196)) % 0.93/1.17 (step @p2048 :rule trans :premises (@p2047 @p2046)) % 0.93/1.17 (step @p2049 :rule cong :premises (@p1006 @p2048) :args (@t2280)) % 0.93/1.17 (step @p2050 :rule cong :premises (@p2049) :args ((forall @t9 @t2280))) % 0.93/1.17 (step @p2051 :rule eq-symm :args (@t708 @t4)) % 0.93/1.17 (step @p2052 :rule cong :premises (@p2051) :args (@t709)) % 0.93/1.17 (step @p2053 :rule trans :premises (@p2052 @p2050)) % 0.93/1.17 (step @p2054 :rule refl :args (tptp.setunionsingleton)) % 0.93/1.17 (step @p2055 :rule cong :premises (@p2054 @p2053) :args (@t710)) % 0.93/1.17 (step @p2056 :rule eq_resolve :premises (@p153 @p2055)) % 0.93/1.17 (step @p2057 :rule cong :premises (@p2056 @p2037) :args (@t2281)) % 0.93/1.17 (step @p2058 :rule refl :args ((tptp.subset @t2 @t701))) % 0.93/1.17 (step @p2059 :rule refl :args ((tptp.setunion @t700))) % 0.93/1.17 (step @p2060 :rule refl :args (@t1258)) % 0.93/1.17 (step @p2061 :rule cong :premises (@p2060) :args (@t1259)) % 0.93/1.17 (step @p2062 :rule trans :premises (@p2061 @p2059)) % 0.93/1.17 (step @p2063 :rule cong :premises (@p654 @p2062) :args (@t1260)) % 0.93/1.17 (step @p2064 :rule trans :premises (@p2063 @p2058)) % 0.93/1.17 (step @p2065 :rule refl :args (@t419)) % 0.93/1.17 (step @p2066 :rule ho_cong :premises (@p2065 @p2062)) % 0.93/1.17 (step @p2067 :rule cong :premises (@p2066 @p2064) :args ((= (_ @t419 @t1259) @t1260))) % 0.93/1.17 (step @p2068 :rule symm :premises (@p2067)) % 0.93/1.17 (step @p2069 :rule refl :args (@t705)) % 0.93/1.17 (step @p2070 :rule eq_resolve :premises (@p2069 @p2068)) % 0.93/1.17 (step @p2071 :rule ho_cong :premises (@p2041 @p2060)) % 0.93/1.17 (step @p2072 :rule cong :premises (@p2071 @p2062) :args ((= (_ tptp.setunion @t1258) @t1259))) % 0.93/1.17 (step @p2073 :rule symm :premises (@p2072)) % 0.93/1.17 (step @p2074 :rule refl :args (@t701)) % 0.93/1.17 (step @p2075 :rule eq_resolve :premises (@p2074 @p2073)) % 0.93/1.17 (step @p2076 :rule refl :args (@t700)) % 0.93/1.17 (step @p2077 :rule cong :premises (@p2076 @p2060) :args ((= @t700 @t1258))) % 0.93/1.17 (step @p2078 :rule symm :premises (@p2077)) % 0.93/1.17 (step @p2079 :rule eq_resolve :premises (@p2076 @p2078)) % 0.93/1.17 (step @p2080 :rule ho_cong :premises (@p2041 @p2079)) % 0.93/1.17 (step @p2081 :rule trans :premises (@p2080 @p2075)) % 0.93/1.17 (step @p2082 :rule ho_cong :premises (@p2065 @p2081)) % 0.93/1.17 (step @p2083 :rule trans :premises (@p2082 @p2070)) % 0.93/1.17 (step @p2084 :rule cong :premises (@p2083) :args (@t706)) % 0.93/1.17 (step @p2085 :rule refl :args (tptp.setunionsingleton2)) % 0.93/1.17 (step @p2086 :rule cong :premises (@p2085 @p2084) :args (@t707)) % 0.93/1.17 (step @p2087 :rule eq_resolve :premises (@p152 @p2086)) % 0.93/1.17 (step @p2088 :rule cong :premises (@p2087 @p2057) :args (@t2282)) % 0.93/1.17 (step @p2089 :rule refl :args ((tptp.subset @t701 @t2))) % 0.93/1.17 (step @p2090 :rule cong :premises (@p2062 @p654) :args (@t1262)) % 0.93/1.17 (step @p2091 :rule trans :premises (@p2090 @p2089)) % 0.93/1.17 (step @p2092 :rule ho_cong :premises (@p790 @p2062)) % 0.93/1.17 (step @p2093 :rule ho_cong :premises (@p2092 @p654)) % 0.93/1.17 (step @p2094 :rule cong :premises (@p2093 @p2091) :args ((= (_ (_ tptp.subset @t1259) @t2) @t1262))) % 0.93/1.17 (step @p2095 :rule symm :premises (@p2094)) % 0.93/1.17 (step @p2096 :rule refl :args (@t702)) % 0.93/1.17 (step @p2097 :rule eq_resolve :premises (@p2096 @p2095)) % 0.93/1.17 (step @p2098 :rule ho_cong :premises (@p790 @p2081)) % 0.93/1.17 (step @p2099 :rule ho_cong :premises (@p2098 @p654)) % 0.93/1.17 (step @p2100 :rule trans :premises (@p2099 @p2097)) % 0.93/1.17 (step @p2101 :rule cong :premises (@p2100) :args (@t703)) % 0.93/1.17 (step @p2102 :rule refl :args (tptp.setunionsingleton1)) % 0.93/1.17 (step @p2103 :rule cong :premises (@p2102 @p2101) :args (@t704)) % 0.93/1.17 (step @p2104 :rule eq_resolve :premises (@p151 @p2103)) % 0.93/1.17 (step @p2105 :rule cong :premises (@p2104 @p2088) :args (@t2283)) % 0.93/1.17 (step @p2106 :rule refl :args (@t1267)) % 0.93/1.17 (step @p2107 :rule refl :args ((tptp.in @t4 @t43))) % 0.93/1.17 (step @p2108 :rule refl :args (@t1268)) % 0.93/1.17 (step @p2109 :rule cong :premises (@p1006 @p2108) :args (@t1269)) % 0.93/1.17 (step @p2110 :rule trans :premises (@p2109 @p2107)) % 0.93/1.17 (step @p2111 :rule refl :args (@t5)) % 0.93/1.17 (step @p2112 :rule ho_cong :premises (@p2111 @p2108)) % 0.93/1.17 (step @p2113 :rule cong :premises (@p2112 @p2110) :args ((= (_ @t5 @t1268) @t1269))) % 0.93/1.17 (step @p2114 :rule symm :premises (@p2113)) % 0.93/1.17 (step @p2115 :rule refl :args (@t44)) % 0.93/1.17 (step @p2116 :rule eq_resolve :premises (@p2115 @p2114)) % 0.93/1.17 (step @p2117 :rule refl :args (@t43)) % 0.93/1.17 (step @p2118 :rule cong :premises (@p2117 @p2108) :args ((= @t43 @t1268))) % 0.93/1.17 (step @p2119 :rule symm :premises (@p2118)) % 0.93/1.17 (step @p2120 :rule eq_resolve :premises (@p2117 @p2119)) % 0.93/1.17 (step @p2121 :rule ho_cong :premises (@p2111 @p2120)) % 0.93/1.17 (step @p2122 :rule trans :premises (@p2121 @p2116)) % 0.93/1.17 (step @p2123 :rule cong :premises (@p2122) :args (@t2284)) % 0.93/1.17 (step @p2124 :rule nary_cong :premises (@p2123 @p2106) :args (@t2285)) % 0.93/1.17 (step @p2125 :rule cong :premises (@p2124) :args ((forall @t46 @t2285))) % 0.93/1.17 (step @p2126 :rule bool-impl-elim :args (@t44 @t1267)) % 0.93/1.17 (step @p2127 :rule cong :premises (@p2126) :args ((forall @t46 (=> @t44 @t1267)))) % 0.93/1.17 (step @p2128 :rule trans :premises (@p2127 @p2125)) % 0.93/1.17 (step @p2129 :rule refl :args (@t1264)) % 0.93/1.17 (step @p2130 :rule refl :args (@t692)) % 0.93/1.17 (step @p2131 :rule cong :premises (@p2130 @p2129) :args ((= @t692 @t1264))) % 0.93/1.17 (step @p2132 :rule symm :premises (@p2131)) % 0.93/1.17 (step @p2133 :rule eq_resolve :premises (@p2130 @p2132)) % 0.93/1.17 (step @p2134 :rule cong :premises (@p2133) :args (@t2286)) % 0.93/1.17 (step @p2135 :rule refl :args (@t1266)) % 0.93/1.17 (step @p2136 :rule refl :args (@t693)) % 0.93/1.17 (step @p2137 :rule cong :premises (@p2136 @p2135) :args ((= @t693 @t1266))) % 0.93/1.17 (step @p2138 :rule symm :premises (@p2137)) % 0.93/1.17 (step @p2139 :rule eq_resolve :premises (@p2136 @p2138)) % 0.93/1.17 (step @p2140 :rule cong :premises (@p2139) :args (@t2287)) % 0.93/1.17 (step @p2141 :rule nary_cong :premises (@p2140 @p2134) :args (@t2288)) % 0.93/1.17 (step @p2142 :rule cong :premises (@p2141) :args ((forall @t695 @t2288))) % 0.93/1.17 (step @p2143 :rule bool-and-de-morgan :args (@t693 @t692 true)) % 0.93/1.17 (step @p2144 :rule cong :premises (@p2143) :args (@t2289)) % 0.93/1.17 (step @p2145 :rule trans :premises (@p2144 @p2142)) % 0.93/1.17 (step @p2146 :rule cong :premises (@p2145) :args (@t2290)) % 0.93/1.17 (step @p2147 :rule exists-elim :args ((= @t696 @t2290))) % 0.93/1.17 (step @p2148 :rule trans :premises (@p2147 @p2146)) % 0.93/1.17 (step @p2149 :rule refl :args (@t44)) % 0.93/1.17 (step @p2150 :rule cong :premises (@p2149 @p2148) :args (@t697)) % 0.93/1.17 (step @p2151 :rule cong :premises (@p2150) :args (@t698)) % 0.93/1.17 (step @p2152 :rule trans :premises (@p2151 @p2128)) % 0.93/1.17 (step @p2153 :rule refl :args (tptp.setunionE2)) % 0.93/1.17 (step @p2154 :rule cong :premises (@p2153 @p2152) :args (@t699)) % 0.93/1.17 (step @p2155 :rule eq_resolve :premises (@p150 @p2154)) % 0.93/1.17 (step @p2156 :rule cong :premises (@p2155 @p2105) :args (@t2291)) % 0.93/1.17 (step @p2157 :rule nary_cong :premises (@p914 @p1099) :args (@t2292)) % 0.93/1.17 (step @p2158 :rule cong :premises (@p2157) :args ((forall @t685 @t2292))) % 0.93/1.17 (step @p2159 :rule bool-impl-elim :args (@t683 @t688)) % 0.93/1.17 (step @p2160 :rule cong :premises (@p2159) :args (@t689)) % 0.93/1.17 (step @p2161 :rule trans :premises (@p2160 @p2158)) % 0.93/1.17 (step @p2162 :rule refl :args (tptp.cartprodmempair)) % 0.93/1.17 (step @p2163 :rule cong :premises (@p2162 @p2161) :args (@t690)) % 0.93/1.17 (step @p2164 :rule eq_resolve :premises (@p149 @p2163)) % 0.93/1.17 (step @p2165 :rule cong :premises (@p2164 @p2156) :args (@t2293)) % 0.93/1.17 (step @p2166 :rule refl :args (@t1278)) % 0.93/1.17 (step @p2167 :rule nary_cong :premises (@p914 @p2166) :args (@t2294)) % 0.93/1.17 (step @p2168 :rule cong :premises (@p2167) :args ((forall @t685 @t2294))) % 0.93/1.17 (step @p2169 :rule bool-impl-elim :args (@t683 @t1278)) % 0.93/1.17 (step @p2170 :rule cong :premises (@p2169) :args ((forall @t685 (=> @t683 @t1278)))) % 0.93/1.17 (step @p2171 :rule trans :premises (@p2170 @p2168)) % 0.93/1.17 (step @p2172 :rule aci_norm :args ((= @t2296 @t1276))) % 0.93/1.17 (step @p2173 :rule cong :premises (@p2172) :args (@t2297)) % 0.93/1.17 (step @p2174 :rule quant-merge-prenex :args ((= (forall @t9 @t2299) @t2297))) % 0.93/1.17 (step @p2175 :rule alpha_equiv :args (@t2300 (@list @t1273) @t1924)) % 0.93/1.17 (step @p2176 :rule nary_cong :premises (@p738 @p2175) :args (@t2301)) % 0.93/1.17 (step @p2177 :rule quant-miniscope-or :args ((= @t2299 @t2301))) % 0.93/1.17 (step @p2178 :rule trans :premises (@p2177 @p2176)) % 0.93/1.17 (step @p2179 :rule symm :premises (@p2178)) % 0.93/1.17 (step @p2180 :rule cong :premises (@p2179) :args ((forall @t9 (or @t1102 @t2302)))) % 0.93/1.17 (step @p2181 :rule trans :premises (@p2180 @p2174)) % 0.93/1.17 (step @p2182 :rule trans :premises (@p2181 @p2173)) % 0.93/1.17 (step @p2183 :rule refl :args (@t2302)) % 0.93/1.17 (step @p2184 :rule nary_cong :premises (@p747 @p2183) :args (@t2303)) % 0.93/1.17 (step @p2185 :rule cong :premises (@p2184) :args ((forall @t9 @t2303))) % 0.93/1.17 (step @p2186 :rule trans :premises (@p2185 @p2182)) % 0.93/1.17 (step @p2187 :rule bool-double-not-elim :args (@t2302)) % 0.93/1.17 (step @p2188 :rule nary_cong :premises (@p1909 @p2187) :args ((or @t197 (not @t2304)))) % 0.93/1.17 (step @p2189 :rule bool-and-de-morgan :args (@t7 @t2304 true)) % 0.93/1.17 (step @p2190 :rule trans :premises (@p2189 @p2188)) % 0.93/1.17 (step @p2191 :rule cong :premises (@p2190) :args (@t2306)) % 0.93/1.17 (step @p2192 :rule trans :premises (@p2191 @p2186)) % 0.93/1.17 (step @p2193 :rule cong :premises (@p2192) :args (@t2307)) % 0.93/1.17 (step @p2194 :rule exists-elim :args ((= (exists @t9 @t2305) @t2307))) % 0.93/1.17 (step @p2195 :rule trans :premises (@p2194 @p2193)) % 0.93/1.17 (step @p2196 :rule cong :premises (@p901 @p683) :args (@t677)) % 0.93/1.17 (step @p2197 :rule cong :premises (@p2196) :args (@t2308)) % 0.93/1.17 (step @p2198 :rule nary_cong :premises (@p757 @p2197) :args (@t2309)) % 0.93/1.17 (step @p2199 :rule cong :premises (@p2198) :args ((forall @t70 @t2309))) % 0.93/1.17 (step @p2200 :rule bool-and-de-morgan :args (@t352 @t677 true)) % 0.93/1.17 (step @p2201 :rule cong :premises (@p2200) :args (@t2310)) % 0.93/1.17 (step @p2202 :rule trans :premises (@p2201 @p2199)) % 0.93/1.17 (step @p2203 :rule cong :premises (@p2202) :args (@t2311)) % 0.93/1.17 (step @p2204 :rule exists-elim :args ((= @t679 @t2311))) % 0.93/1.17 (step @p2205 :rule trans :premises (@p2204 @p2203)) % 0.93/1.17 (step @p2206 :rule nary_cong :premises (@p769 @p2205) :args (@t680)) % 0.93/1.17 (step @p2207 :rule cong :premises (@p2206) :args (@t681)) % 0.93/1.17 (step @p2208 :rule trans :premises (@p2207 @p2195)) % 0.93/1.17 (step @p2209 :rule cong :premises (@p921 @p2208) :args (@t684)) % 0.93/1.17 (step @p2210 :rule cong :premises (@p2209) :args (@t686)) % 0.93/1.17 (step @p2211 :rule trans :premises (@p2210 @p2171)) % 0.93/1.17 (step @p2212 :rule refl :args (tptp.cartprodmempair1)) % 0.93/1.17 (step @p2213 :rule cong :premises (@p2212 @p2211) :args (@t687)) % 0.93/1.17 (step @p2214 :rule eq_resolve :premises (@p148 @p2213)) % 0.93/1.17 (step @p2215 :rule cong :premises (@p2214 @p2165) :args (@t2312)) % 0.93/1.17 (step @p2216 :rule aci_norm :args ((= @t2314 @t1283))) % 0.93/1.17 (step @p2217 :rule cong :premises (@p2216) :args (@t2315)) % 0.93/1.17 (step @p2218 :rule quant-merge-prenex :args ((= (forall @t245 @t2317) @t2315))) % 0.93/1.17 (step @p2219 :rule alpha_equiv :args (@t2318 (@list @t1280) @t1924)) % 0.93/1.17 (step @p2220 :rule nary_cong :premises (@p738 @p2219) :args (@t2319)) % 0.93/1.17 (step @p2221 :rule quant-miniscope-or :args ((= @t2317 @t2319))) % 0.93/1.17 (step @p2222 :rule trans :premises (@p2221 @p2220)) % 0.93/1.17 (step @p2223 :rule symm :premises (@p2222)) % 0.93/1.17 (step @p2224 :rule cong :premises (@p2223) :args ((forall @t245 (or @t1102 @t2320)))) % 0.93/1.17 (step @p2225 :rule trans :premises (@p2224 @p2218)) % 0.93/1.17 (step @p2226 :rule trans :premises (@p2225 @p2217)) % 0.93/1.17 (step @p2227 :rule refl :args (@t2320)) % 0.93/1.17 (step @p2228 :rule nary_cong :premises (@p747 @p2227) :args (@t2321)) % 0.93/1.17 (step @p2229 :rule cong :premises (@p2228) :args ((forall @t245 @t2321))) % 0.93/1.18 (step @p2230 :rule trans :premises (@p2229 @p2226)) % 0.93/1.18 (step @p2231 :rule bool-impl-elim :args (@t7 @t2320)) % 0.93/1.18 (step @p2232 :rule cong :premises (@p2231) :args ((forall @t245 (=> @t7 @t2320)))) % 0.93/1.18 (step @p2233 :rule trans :premises (@p2232 @p2230)) % 0.93/1.18 (step @p2234 :rule nary_cong :premises (@p757 @p1054) :args (@t2322)) % 0.93/1.18 (step @p2235 :rule cong :premises (@p2234) :args ((forall @t70 @t2322))) % 0.93/1.18 (step @p2236 :rule bool-impl-elim :args (@t352 @t672)) % 0.93/1.18 (step @p2237 :rule cong :premises (@p2236) :args (@t673)) % 0.93/1.18 (step @p2238 :rule trans :premises (@p2237 @p2235)) % 0.93/1.18 (step @p2239 :rule cong :premises (@p769 @p2238) :args (@t674)) % 0.93/1.18 (step @p2240 :rule cong :premises (@p2239) :args (@t675)) % 0.93/1.18 (step @p2241 :rule trans :premises (@p2240 @p2233)) % 0.93/1.18 (step @p2242 :rule refl :args (tptp.cartprodpairin)) % 0.93/1.18 (step @p2243 :rule cong :premises (@p2242 @p2241) :args (@t676)) % 0.93/1.18 (step @p2244 :rule eq_resolve :premises (@p147 @p2243)) % 0.93/1.18 (step @p2245 :rule cong :premises (@p2244 @p2215) :args (@t2323)) % 0.93/1.18 (step @p2246 :rule aci_norm :args ((= @t2325 @t1292))) % 0.93/1.18 (step @p2247 :rule cong :premises (@p2246) :args (@t2326)) % 0.93/1.18 (step @p2248 :rule quant-merge-prenex :args ((= (forall @t245 @t2328) @t2326))) % 0.93/1.18 (step @p2249 :rule alpha_equiv :args (@t2329 (@list @t1289) @t1924)) % 0.93/1.18 (step @p2250 :rule nary_cong :premises (@p738 @p2249) :args (@t2330)) % 0.93/1.18 (step @p2251 :rule quant-miniscope-or :args ((= @t2328 @t2330))) % 0.93/1.18 (step @p2252 :rule trans :premises (@p2251 @p2250)) % 0.93/1.18 (step @p2253 :rule symm :premises (@p2252)) % 0.93/1.18 (step @p2254 :rule cong :premises (@p2253) :args ((forall @t245 (or @t1102 @t2332)))) % 0.93/1.18 (step @p2255 :rule trans :premises (@p2254 @p2248)) % 0.93/1.18 (step @p2256 :rule trans :premises (@p2255 @p2247)) % 0.93/1.18 (step @p2257 :rule refl :args (@t2332)) % 0.93/1.18 (step @p2258 :rule nary_cong :premises (@p747 @p2257) :args (@t2333)) % 0.93/1.18 (step @p2259 :rule cong :premises (@p2258) :args ((forall @t245 @t2333))) % 0.93/1.18 (step @p2260 :rule trans :premises (@p2259 @p2256)) % 0.93/1.18 (step @p2261 :rule bool-impl-elim :args (@t7 @t2332)) % 0.93/1.18 (step @p2262 :rule cong :premises (@p2261) :args ((forall @t245 (=> @t7 @t2332)))) % 0.93/1.18 (step @p2263 :rule trans :premises (@p2262 @p2260)) % 0.93/1.18 (step @p2264 :rule refl :args ((tptp.in @t629 @t659))) % 0.93/1.18 (step @p2265 :rule refl :args ((tptp.powerset @t640))) % 0.93/1.18 (step @p2266 :rule refl :args ((tptp.powerset @t492))) % 0.93/1.18 (step @p2267 :rule refl :args (@t1286)) % 0.93/1.18 (step @p2268 :rule cong :premises (@p2267) :args (@t1287)) % 0.93/1.18 (step @p2269 :rule trans :premises (@p2268 @p2266)) % 0.93/1.18 (step @p2270 :rule cong :premises (@p2269) :args (@t1288)) % 0.93/1.18 (step @p2271 :rule trans :premises (@p2270 @p2265)) % 0.93/1.18 (step @p2272 :rule cong :premises (@p657 @p2271) :args (@t2331)) % 0.93/1.18 (step @p2273 :rule trans :premises (@p2272 @p2264)) % 0.93/1.18 (step @p2274 :rule ho_cong :premises (@p661 @p2271)) % 0.93/1.18 (step @p2275 :rule cong :premises (@p2274 @p2273) :args ((= (_ @t1908 @t1288) @t2331))) % 0.93/1.18 (step @p2276 :rule symm :premises (@p2275)) % 0.93/1.18 (step @p2277 :rule refl :args (@t666)) % 0.93/1.18 (step @p2278 :rule eq_resolve :premises (@p2277 @p2276)) % 0.93/1.18 (step @p2279 :rule refl :args (tptp.powerset)) % 0.93/1.18 (step @p2280 :rule ho_cong :premises (@p2279 @p2269)) % 0.93/1.18 (step @p2281 :rule cong :premises (@p2280 @p2271) :args ((= (_ tptp.powerset @t1287) @t1288))) % 0.93/1.18 (step @p2282 :rule symm :premises (@p2281)) % 0.93/1.18 (step @p2283 :rule refl :args (@t659)) % 0.93/1.18 (step @p2284 :rule eq_resolve :premises (@p2283 @p2282)) % 0.93/1.18 (step @p2285 :rule ho_cong :premises (@p2279 @p2267)) % 0.93/1.18 (step @p2286 :rule cong :premises (@p2285 @p2269) :args ((= (_ tptp.powerset @t1286) @t1287))) % 0.93/1.18 (step @p2287 :rule symm :premises (@p2286)) % 0.93/1.18 (step @p2288 :rule refl :args (@t640)) % 0.93/1.18 (step @p2289 :rule eq_resolve :premises (@p2288 @p2287)) % 0.93/1.18 (step @p2290 :rule refl :args (@t492)) % 0.93/1.18 (step @p2291 :rule cong :premises (@p2290 @p2267) :args ((= @t492 @t1286))) % 0.93/1.18 (step @p2292 :rule symm :premises (@p2291)) % 0.93/1.18 (step @p2293 :rule eq_resolve :premises (@p2290 @p2292)) % 0.93/1.18 (step @p2294 :rule ho_cong :premises (@p2279 @p2293)) % 0.93/1.18 (step @p2295 :rule trans :premises (@p2294 @p2289)) % 0.93/1.18 (step @p2296 :rule ho_cong :premises (@p2279 @p2295)) % 0.93/1.18 (step @p2297 :rule trans :premises (@p2296 @p2284)) % 0.93/1.18 (step @p2298 :rule ho_cong :premises (@p684 @p2297)) % 0.93/1.18 (step @p2299 :rule trans :premises (@p2298 @p2278)) % 0.93/1.18 (step @p2300 :rule nary_cong :premises (@p757 @p2299) :args (@t2334)) % 0.93/1.18 (step @p2301 :rule cong :premises (@p2300) :args ((forall @t70 @t2334))) % 0.93/1.18 (step @p2302 :rule bool-impl-elim :args (@t352 @t666)) % 0.93/1.18 (step @p2303 :rule cong :premises (@p2302) :args (@t667)) % 0.93/1.18 (step @p2304 :rule trans :premises (@p2303 @p2301)) % 0.93/1.18 (step @p2305 :rule cong :premises (@p769 @p2304) :args (@t668)) % 0.93/1.18 (step @p2306 :rule cong :premises (@p2305) :args (@t669)) % 0.93/1.18 (step @p2307 :rule trans :premises (@p2306 @p2263)) % 0.93/1.18 (step @p2308 :rule refl :args (tptp.ubforcartprodlem3)) % 0.93/1.18 (step @p2309 :rule cong :premises (@p2308 @p2307) :args (@t670)) % 0.93/1.18 (step @p2310 :rule eq_resolve :premises (@p146 @p2309)) % 0.93/1.18 (step @p2311 :rule cong :premises (@p2310 @p2245) :args (@t2335)) % 0.93/1.18 (step @p2312 :rule aci_norm :args ((= @t2337 @t1298))) % 0.93/1.18 (step @p2313 :rule cong :premises (@p2312) :args (@t2338)) % 0.93/1.18 (step @p2314 :rule quant-merge-prenex :args ((= (forall @t245 @t2340) @t2338))) % 0.93/1.18 (step @p2315 :rule alpha_equiv :args (@t2341 (@list @t1295) @t1924)) % 0.93/1.18 (step @p2316 :rule nary_cong :premises (@p738 @p2315) :args (@t2342)) % 0.93/1.18 (step @p2317 :rule quant-miniscope-or :args ((= @t2340 @t2342))) % 0.93/1.18 (step @p2318 :rule trans :premises (@p2317 @p2316)) % 0.93/1.18 (step @p2319 :rule symm :premises (@p2318)) % 0.93/1.18 (step @p2320 :rule cong :premises (@p2319) :args ((forall @t245 (or @t1102 @t2344)))) % 0.93/1.18 (step @p2321 :rule trans :premises (@p2320 @p2314)) % 0.93/1.18 (step @p2322 :rule trans :premises (@p2321 @p2313)) % 0.93/1.18 (step @p2323 :rule refl :args (@t2344)) % 0.93/1.18 (step @p2324 :rule nary_cong :premises (@p747 @p2323) :args (@t2345)) % 0.93/1.18 (step @p2325 :rule cong :premises (@p2324) :args ((forall @t245 @t2345))) % 0.93/1.18 (step @p2326 :rule trans :premises (@p2325 @p2322)) % 0.93/1.18 (step @p2327 :rule bool-impl-elim :args (@t7 @t2344)) % 0.93/1.18 (step @p2328 :rule cong :premises (@p2327) :args ((forall @t245 (=> @t7 @t2344)))) % 0.93/1.18 (step @p2329 :rule trans :premises (@p2328 @p2326)) % 0.93/1.18 (step @p2330 :rule refl :args ((tptp.in @t618 @t659))) % 0.93/1.18 (step @p2331 :rule cong :premises (@p1289 @p2271) :args (@t2343)) % 0.93/1.18 (step @p2332 :rule trans :premises (@p2331 @p2330)) % 0.93/1.18 (step @p2333 :rule ho_cong :premises (@p660 @p1289)) % 0.93/1.18 (step @p2334 :rule ho_cong :premises (@p2333 @p2271)) % 0.93/1.18 (step @p2335 :rule cong :premises (@p2334 @p2332) :args ((= (_ (_ tptp.in @t1178) @t1288) @t2343))) % 0.93/1.18 (step @p2336 :rule symm :premises (@p2335)) % 0.93/1.18 (step @p2337 :rule refl :args (@t660)) % 0.93/1.18 (step @p2338 :rule eq_resolve :premises (@p2337 @p2336)) % 0.93/1.18 (step @p2339 :rule ho_cong :premises (@p660 @p1319)) % 0.93/1.18 (step @p2340 :rule ho_cong :premises (@p2339 @p2297)) % 0.93/1.18 (step @p2341 :rule trans :premises (@p2340 @p2338)) % 0.93/1.18 (step @p2342 :rule nary_cong :premises (@p757 @p2341) :args (@t2346)) % 0.93/1.18 (step @p2343 :rule cong :premises (@p2342) :args ((forall @t70 @t2346))) % 0.93/1.18 (step @p2344 :rule bool-impl-elim :args (@t352 @t660)) % 0.93/1.18 (step @p2345 :rule cong :premises (@p2344) :args (@t661)) % 0.93/1.18 (step @p2346 :rule trans :premises (@p2345 @p2343)) % 0.93/1.18 (step @p2347 :rule cong :premises (@p769 @p2346) :args (@t662)) % 0.93/1.18 (step @p2348 :rule cong :premises (@p2347) :args (@t663)) % 0.93/1.18 (step @p2349 :rule trans :premises (@p2348 @p2329)) % 0.93/1.18 (step @p2350 :rule refl :args (tptp.ubforcartprodlem2)) % 0.93/1.18 (step @p2351 :rule cong :premises (@p2350 @p2349) :args (@t664)) % 0.93/1.18 (step @p2352 :rule eq_resolve :premises (@p145 @p2351)) % 0.93/1.18 (step @p2353 :rule cong :premises (@p2352 @p2311) :args (@t2347)) % 0.93/1.18 (step @p2354 :rule aci_norm :args ((= @t2349 @t1304))) % 0.93/1.18 (step @p2355 :rule cong :premises (@p2354) :args (@t2350)) % 0.93/1.18 (step @p2356 :rule quant-merge-prenex :args ((= (forall @t245 @t2352) @t2350))) % 0.93/1.18 (step @p2357 :rule alpha_equiv :args (@t2353 (@list @t1301) @t1924)) % 0.93/1.18 (step @p2358 :rule nary_cong :premises (@p738 @p2357) :args (@t2354)) % 0.93/1.18 (step @p2359 :rule quant-miniscope-or :args ((= @t2352 @t2354))) % 0.93/1.18 (step @p2360 :rule trans :premises (@p2359 @p2358)) % 0.93/1.18 (step @p2361 :rule symm :premises (@p2360)) % 0.93/1.18 (step @p2362 :rule cong :premises (@p2361) :args ((forall @t245 (or @t1102 @t2356)))) % 0.93/1.18 (step @p2363 :rule trans :premises (@p2362 @p2356)) % 0.93/1.18 (step @p2364 :rule trans :premises (@p2363 @p2355)) % 0.93/1.18 (step @p2365 :rule refl :args (@t2356)) % 0.93/1.18 (step @p2366 :rule nary_cong :premises (@p747 @p2365) :args (@t2357)) % 0.93/1.18 (step @p2367 :rule cong :premises (@p2366) :args ((forall @t245 @t2357))) % 0.93/1.18 (step @p2368 :rule trans :premises (@p2367 @p2364)) % 0.93/1.18 (step @p2369 :rule bool-impl-elim :args (@t7 @t2356)) % 0.93/1.18 (step @p2370 :rule cong :premises (@p2369) :args ((forall @t245 (=> @t7 @t2356)))) % 0.93/1.18 (step @p2371 :rule trans :premises (@p2370 @p2368)) % 0.93/1.18 (step @p2372 :rule refl :args ((tptp.subset @t618 @t640))) % 0.93/1.18 (step @p2373 :rule cong :premises (@p1289 @p2269) :args (@t2355)) % 0.93/1.18 (step @p2374 :rule trans :premises (@p2373 @p2372)) % 0.93/1.18 (step @p2375 :rule ho_cong :premises (@p790 @p1289)) % 0.93/1.18 (step @p2376 :rule ho_cong :premises (@p2375 @p2269)) % 0.93/1.18 (step @p2377 :rule cong :premises (@p2376 @p2374) :args ((= (_ (_ tptp.subset @t1178) @t1287) @t2355))) % 0.93/1.18 (step @p2378 :rule symm :premises (@p2377)) % 0.93/1.18 (step @p2379 :rule refl :args (@t654)) % 0.93/1.18 (step @p2380 :rule eq_resolve :premises (@p2379 @p2378)) % 0.93/1.18 (step @p2381 :rule ho_cong :premises (@p790 @p1319)) % 0.93/1.18 (step @p2382 :rule ho_cong :premises (@p2381 @p2295)) % 0.93/1.18 (step @p2383 :rule trans :premises (@p2382 @p2380)) % 0.93/1.18 (step @p2384 :rule nary_cong :premises (@p757 @p2383) :args (@t2358)) % 0.93/1.18 (step @p2385 :rule cong :premises (@p2384) :args ((forall @t70 @t2358))) % 0.93/1.18 (step @p2386 :rule bool-impl-elim :args (@t352 @t654)) % 0.93/1.18 (step @p2387 :rule cong :premises (@p2386) :args (@t655)) % 0.93/1.18 (step @p2388 :rule trans :premises (@p2387 @p2385)) % 0.93/1.18 (step @p2389 :rule cong :premises (@p769 @p2388) :args (@t656)) % 0.93/1.18 (step @p2390 :rule cong :premises (@p2389) :args (@t657)) % 0.93/1.18 (step @p2391 :rule trans :premises (@p2390 @p2371)) % 0.93/1.18 (step @p2392 :rule refl :args (tptp.ubforcartprodlem1)) % 0.93/1.18 (step @p2393 :rule cong :premises (@p2392 @p2391) :args (@t658)) % 0.93/1.18 (step @p2394 :rule eq_resolve :premises (@p144 @p2393)) % 0.93/1.18 (step @p2395 :rule cong :premises (@p2394 @p2353) :args (@t2359)) % 0.93/1.18 (step @p2396 :rule aci_norm :args ((= @t2361 @t1310))) % 0.93/1.18 (step @p2397 :rule cong :premises (@p2396) :args (@t2362)) % 0.93/1.18 (step @p2398 :rule quant-merge-prenex :args ((= (forall @t245 @t2364) @t2362))) % 0.93/1.18 (step @p2399 :rule alpha_equiv :args (@t2365 (@list @t1307) @t1924)) % 0.93/1.18 (step @p2400 :rule nary_cong :premises (@p738 @p2399) :args (@t2366)) % 0.93/1.18 (step @p2401 :rule quant-miniscope-or :args ((= @t2364 @t2366))) % 0.93/1.18 (step @p2402 :rule trans :premises (@p2401 @p2400)) % 0.93/1.18 (step @p2403 :rule symm :premises (@p2402)) % 0.93/1.18 (step @p2404 :rule cong :premises (@p2403) :args ((forall @t245 (or @t1102 @t2368)))) % 0.93/1.18 (step @p2405 :rule trans :premises (@p2404 @p2398)) % 0.93/1.18 (step @p2406 :rule trans :premises (@p2405 @p2397)) % 0.93/1.18 (step @p2407 :rule refl :args (@t2368)) % 0.93/1.18 (step @p2408 :rule nary_cong :premises (@p747 @p2407) :args (@t2369)) % 0.93/1.18 (step @p2409 :rule cong :premises (@p2408) :args ((forall @t245 @t2369))) % 0.93/1.18 (step @p2410 :rule trans :premises (@p2409 @p2406)) % 0.93/1.18 (step @p2411 :rule bool-impl-elim :args (@t7 @t2368)) % 0.93/1.18 (step @p2412 :rule cong :premises (@p2411) :args ((forall @t245 (=> @t7 @t2368)))) % 0.93/1.18 (step @p2413 :rule trans :premises (@p2412 @p2410)) % 0.93/1.18 (step @p2414 :rule refl :args ((tptp.in @t291 @t640))) % 0.93/1.18 (step @p2415 :rule cong :premises (@p1285 @p2269) :args (@t2367)) % 0.93/1.18 (step @p2416 :rule trans :premises (@p2415 @p2414)) % 0.93/1.18 (step @p2417 :rule ho_cong :premises (@p660 @p1285)) % 0.93/1.18 (step @p2418 :rule ho_cong :premises (@p2417 @p2269)) % 0.93/1.18 (step @p2419 :rule cong :premises (@p2418 @p2416) :args ((= (_ (_ tptp.in @t1176) @t1287) @t2367))) % 0.93/1.18 (step @p2420 :rule symm :premises (@p2419)) % 0.93/1.18 (step @p2421 :rule refl :args (@t649)) % 0.93/1.18 (step @p2422 :rule eq_resolve :premises (@p2421 @p2420)) % 0.93/1.18 (step @p2423 :rule ho_cong :premises (@p660 @p1313)) % 0.93/1.18 (step @p2424 :rule ho_cong :premises (@p2423 @p2295)) % 0.93/1.18 (step @p2425 :rule trans :premises (@p2424 @p2422)) % 0.93/1.18 (step @p2426 :rule nary_cong :premises (@p757 @p2425) :args (@t2370)) % 0.93/1.18 (step @p2427 :rule cong :premises (@p2426) :args ((forall @t70 @t2370))) % 0.93/1.18 (step @p2428 :rule bool-impl-elim :args (@t352 @t649)) % 0.93/1.18 (step @p2429 :rule cong :premises (@p2428) :args (@t650)) % 0.93/1.18 (step @p2430 :rule trans :premises (@p2429 @p2427)) % 0.93/1.18 (step @p2431 :rule cong :premises (@p769 @p2430) :args (@t651)) % 0.93/1.18 (step @p2432 :rule cong :premises (@p2431) :args (@t652)) % 0.93/1.18 (step @p2433 :rule trans :premises (@p2432 @p2413)) % 0.93/1.18 (step @p2434 :rule refl :args (tptp.upairinpowunion)) % 0.93/1.18 (step @p2435 :rule cong :premises (@p2434 @p2433) :args (@t653)) % 0.93/1.18 (step @p2436 :rule eq_resolve :premises (@p143 @p2435)) % 0.93/1.18 (step @p2437 :rule cong :premises (@p2436 @p2395) :args (@t2371)) % 0.93/1.18 (step @p2438 :rule aci_norm :args ((= @t2373 @t1316))) % 0.93/1.18 (step @p2439 :rule cong :premises (@p2438) :args (@t2374)) % 0.93/1.18 (step @p2440 :rule quant-merge-prenex :args ((= (forall @t245 @t2376) @t2374))) % 0.93/1.18 (step @p2441 :rule alpha_equiv :args (@t2377 (@list @t1313) @t1924)) % 0.93/1.18 (step @p2442 :rule nary_cong :premises (@p738 @p2441) :args (@t2378)) % 0.93/1.18 (step @p2443 :rule quant-miniscope-or :args ((= @t2376 @t2378))) % 0.93/1.18 (step @p2444 :rule trans :premises (@p2443 @p2442)) % 0.93/1.18 (step @p2445 :rule symm :premises (@p2444)) % 0.93/1.18 (step @p2446 :rule cong :premises (@p2445) :args ((forall @t245 (or @t1102 @t2380)))) % 0.93/1.18 (step @p2447 :rule trans :premises (@p2446 @p2440)) % 0.93/1.18 (step @p2448 :rule trans :premises (@p2447 @p2439)) % 0.93/1.18 (step @p2449 :rule refl :args (@t2380)) % 0.93/1.18 (step @p2450 :rule nary_cong :premises (@p747 @p2449) :args (@t2381)) % 0.93/1.18 (step @p2451 :rule cong :premises (@p2450) :args ((forall @t245 @t2381))) % 0.93/1.18 (step @p2452 :rule trans :premises (@p2451 @p2448)) % 0.93/1.18 (step @p2453 :rule bool-impl-elim :args (@t7 @t2380)) % 0.93/1.18 (step @p2454 :rule cong :premises (@p2453) :args ((forall @t245 (=> @t7 @t2380)))) % 0.93/1.18 (step @p2455 :rule trans :premises (@p2454 @p2452)) % 0.93/1.18 (step @p2456 :rule refl :args ((tptp.subset @t291 @t492))) % 0.93/1.18 (step @p2457 :rule cong :premises (@p1285 @p2267) :args (@t2379)) % 0.93/1.18 (step @p2458 :rule trans :premises (@p2457 @p2456)) % 0.93/1.18 (step @p2459 :rule ho_cong :premises (@p790 @p1285)) % 0.93/1.18 (step @p2460 :rule ho_cong :premises (@p2459 @p2267)) % 0.93/1.18 (step @p2461 :rule cong :premises (@p2460 @p2458) :args ((= (_ (_ tptp.subset @t1176) @t1286) @t2379))) % 0.93/1.18 (step @p2462 :rule symm :premises (@p2461)) % 0.93/1.18 (step @p2463 :rule refl :args (@t644)) % 0.93/1.18 (step @p2464 :rule eq_resolve :premises (@p2463 @p2462)) % 0.93/1.18 (step @p2465 :rule ho_cong :premises (@p790 @p1313)) % 0.93/1.18 (step @p2466 :rule ho_cong :premises (@p2465 @p2293)) % 0.93/1.18 (step @p2467 :rule trans :premises (@p2466 @p2464)) % 0.93/1.18 (step @p2468 :rule nary_cong :premises (@p757 @p2467) :args (@t2382)) % 0.93/1.18 (step @p2469 :rule cong :premises (@p2468) :args ((forall @t70 @t2382))) % 0.93/1.18 (step @p2470 :rule bool-impl-elim :args (@t352 @t644)) % 0.93/1.18 (step @p2471 :rule cong :premises (@p2470) :args (@t645)) % 0.93/1.18 (step @p2472 :rule trans :premises (@p2471 @p2469)) % 0.93/1.18 (step @p2473 :rule cong :premises (@p769 @p2472) :args (@t646)) % 0.93/1.18 (step @p2474 :rule cong :premises (@p2473) :args (@t647)) % 0.93/1.18 (step @p2475 :rule trans :premises (@p2474 @p2455)) % 0.93/1.18 (step @p2476 :rule refl :args (tptp.upairsubunion)) % 0.93/1.18 (step @p2477 :rule cong :premises (@p2476 @p2475) :args (@t648)) % 0.93/1.18 (step @p2478 :rule eq_resolve :premises (@p142 @p2477)) % 0.93/1.18 (step @p2479 :rule cong :premises (@p2478 @p2437) :args (@t2383)) % 0.93/1.18 (step @p2480 :rule eq-symm :args (@t1321 tptp.upairset2E)) % 0.93/1.18 (step @p2481 :rule refl :args (tptp.upairset2E)) % 0.93/1.18 (step @p2482 :rule refl :args (@t1319)) % 0.93/1.18 (step @p2483 :rule refl :args ((tptp.in @t289 @t291))) % 0.93/1.18 (step @p2484 :rule cong :premises (@p1237 @p1285) :args (@t1320)) % 0.93/1.18 (step @p2485 :rule trans :premises (@p2484 @p2483)) % 0.93/1.18 (step @p2486 :rule refl :args (@t292)) % 0.93/1.18 (step @p2487 :rule ho_cong :premises (@p2486 @p1285)) % 0.93/1.18 (step @p2488 :rule cong :premises (@p2487 @p2485) :args ((= (_ @t292 @t1176) @t1320))) % 0.93/1.18 (step @p2489 :rule symm :premises (@p2488)) % 0.93/1.18 (step @p2490 :rule refl :args (@t293)) % 0.93/1.18 (step @p2491 :rule eq_resolve :premises (@p2490 @p2489)) % 0.93/1.18 (step @p2492 :rule ho_cong :premises (@p2486 @p1313)) % 0.93/1.18 (step @p2493 :rule trans :premises (@p2492 @p2491)) % 0.93/1.18 (step @p2494 :rule cong :premises (@p2493) :args (@t2384)) % 0.93/1.18 (step @p2495 :rule nary_cong :premises (@p2494 @p1451 @p2482) :args (@t2385)) % 0.93/1.18 (step @p2496 :rule cong :premises (@p2495) :args ((forall @t295 @t2385))) % 0.93/1.18 (step @p2497 :rule aci_norm :args ((= (or @t2384 @t2386) @t2385))) % 0.93/1.18 (step @p2498 :rule bool-impl-elim :args (@t293 @t2386)) % 0.93/1.18 (step @p2499 :rule trans :premises (@p2498 @p2497)) % 0.93/1.18 (step @p2500 :rule cong :premises (@p2499) :args ((forall @t295 (=> @t293 @t2386)))) % 0.93/1.18 (step @p2501 :rule trans :premises (@p2500 @p2496)) % 0.93/1.18 (step @p2502 :rule eq-symm :args (@t289 @t19)) % 0.93/1.18 (step @p2503 :rule eq-symm :args (@t289 @t4)) % 0.93/1.18 (step @p2504 :rule nary_cong :premises (@p2503 @p2502) :args (@t290)) % 0.93/1.18 (step @p2505 :rule refl :args (@t293)) % 0.93/1.18 (step @p2506 :rule cong :premises (@p2505 @p2504) :args (@t294)) % 0.93/1.18 (step @p2507 :rule cong :premises (@p2506) :args (@t296)) % 0.93/1.18 (step @p2508 :rule trans :premises (@p2507 @p2501)) % 0.93/1.18 (step @p2509 :rule cong :premises (@p2508 @p2481) :args ((= @t296 tptp.upairset2E))) % 0.93/1.18 (step @p2510 :rule trans :premises (@p2509 @p2480)) % 0.93/1.18 (step @p2511 :rule eq-symm :args (tptp.upairset2E @t296)) % 0.93/1.18 (step @p2512 :rule trans :premises (@p2511 @p2510)) % 0.93/1.18 (step @p2513 :rule eq_resolve :premises (@p141 @p2512)) % 0.93/1.18 (step @p2514 :rule cong :premises (@p2513 @p2479) :args (@t2387)) % 0.93/1.18 (step @p2515 :rule refl :args ((tptp.in @t279 @t640))) % 0.93/1.18 (step @p2516 :rule cong :premises (@p1192 @p2269) :args (@t1322)) % 0.93/1.18 (step @p2517 :rule trans :premises (@p2516 @p2515)) % 0.93/1.18 (step @p2518 :rule ho_cong :premises (@p660 @p1192)) % 0.93/1.18 (step @p2519 :rule ho_cong :premises (@p2518 @p2269)) % 0.93/1.18 (step @p2520 :rule cong :premises (@p2519 @p2517) :args ((= (_ @t2388 @t1287) @t1322))) % 0.93/1.18 (step @p2521 :rule symm :premises (@p2520)) % 0.93/1.18 (step @p2522 :rule refl :args (@t641)) % 0.93/1.18 (step @p2523 :rule eq_resolve :premises (@p2522 @p2521)) % 0.93/1.18 (step @p2524 :rule ho_cong :premises (@p660 @p1196)) % 0.93/1.18 (step @p2525 :rule ho_cong :premises (@p2524 @p2295)) % 0.93/1.18 (step @p2526 :rule trans :premises (@p2525 @p2523)) % 0.93/1.18 (step @p2527 :rule nary_cong :premises (@p747 @p2526) :args (@t2389)) % 0.93/1.18 (step @p2528 :rule cong :premises (@p2527) :args ((forall @t245 @t2389))) % 0.93/1.18 (step @p2529 :rule bool-impl-elim :args (@t7 @t641)) % 0.93/1.18 (step @p2530 :rule cong :premises (@p2529) :args (@t642)) % 0.93/1.18 (step @p2531 :rule trans :premises (@p2530 @p2528)) % 0.93/1.18 (step @p2532 :rule refl :args (tptp.singletoninpowunion)) % 0.93/1.18 (step @p2533 :rule cong :premises (@p2532 @p2531) :args (@t643)) % 0.93/1.18 (step @p2534 :rule eq_resolve :premises (@p140 @p2533)) % 0.93/1.18 (step @p2535 :rule cong :premises (@p2534 @p2514) :args (@t2390)) % 0.93/1.18 (step @p2536 :rule refl :args ((tptp.in @t279 @t33))) % 0.93/1.18 (step @p2537 :rule refl :args (@t1324)) % 0.93/1.18 (step @p2538 :rule cong :premises (@p1192 @p2537) :args (@t1325)) % 0.93/1.18 (step @p2539 :rule trans :premises (@p2538 @p2536)) % 0.93/1.18 (step @p2540 :rule ho_cong :premises (@p2518 @p2537)) % 0.93/1.18 (step @p2541 :rule cong :premises (@p2540 @p2539) :args ((= (_ @t2388 @t1324) @t1325))) % 0.93/1.18 (step @p2542 :rule symm :premises (@p2541)) % 0.93/1.18 (step @p2543 :rule refl :args (@t637)) % 0.93/1.18 (step @p2544 :rule eq_resolve :premises (@p2543 @p2542)) % 0.93/1.18 (step @p2545 :rule refl :args (@t33)) % 0.93/1.18 (step @p2546 :rule cong :premises (@p2545 @p2537) :args ((= @t33 @t1324))) % 0.93/1.18 (step @p2547 :rule symm :premises (@p2546)) % 0.93/1.18 (step @p2548 :rule eq_resolve :premises (@p2545 @p2547)) % 0.93/1.18 (step @p2549 :rule ho_cong :premises (@p2524 @p2548)) % 0.93/1.18 (step @p2550 :rule trans :premises (@p2549 @p2544)) % 0.93/1.18 (step @p2551 :rule nary_cong :premises (@p747 @p2550) :args (@t2391)) % 0.93/1.18 (step @p2552 :rule cong :premises (@p2551) :args ((forall @t46 @t2391))) % 0.93/1.18 (step @p2553 :rule bool-impl-elim :args (@t7 @t637)) % 0.93/1.18 (step @p2554 :rule cong :premises (@p2553) :args (@t638)) % 0.93/1.18 (step @p2555 :rule trans :premises (@p2554 @p2552)) % 0.93/1.18 (step @p2556 :rule refl :args (tptp.singletoninpowerset)) % 0.93/1.18 (step @p2557 :rule cong :premises (@p2556 @p2555) :args (@t639)) % 0.93/1.18 (step @p2558 :rule eq_resolve :premises (@p139 @p2557)) % 0.93/1.18 (step @p2559 :rule cong :premises (@p2558 @p2535) :args (@t2392)) % 0.93/1.18 (step @p2560 :rule refl :args ((tptp.subset @t279 @t2))) % 0.93/1.18 (step @p2561 :rule cong :premises (@p1192 @p654) :args (@t1327)) % 0.93/1.18 (step @p2562 :rule trans :premises (@p2561 @p2560)) % 0.93/1.18 (step @p2563 :rule ho_cong :premises (@p790 @p1192)) % 0.93/1.18 (step @p2564 :rule ho_cong :premises (@p2563 @p654)) % 0.93/1.18 (step @p2565 :rule cong :premises (@p2564 @p2562) :args ((= (_ (_ tptp.subset @t1164) @t2) @t1327))) % 0.93/1.18 (step @p2566 :rule symm :premises (@p2565)) % 0.93/1.18 (step @p2567 :rule refl :args (@t633)) % 0.93/1.18 (step @p2568 :rule eq_resolve :premises (@p2567 @p2566)) % 0.93/1.18 (step @p2569 :rule ho_cong :premises (@p790 @p1196)) % 0.93/1.18 (step @p2570 :rule ho_cong :premises (@p2569 @p654)) % 0.93/1.18 (step @p2571 :rule trans :premises (@p2570 @p2568)) % 0.93/1.18 (step @p2572 :rule nary_cong :premises (@p747 @p2571) :args (@t2393)) % 0.93/1.18 (step @p2573 :rule cong :premises (@p2572) :args ((forall @t46 @t2393))) % 0.93/1.18 (step @p2574 :rule bool-impl-elim :args (@t7 @t633)) % 0.93/1.18 (step @p2575 :rule cong :premises (@p2574) :args (@t634)) % 0.93/1.18 (step @p2576 :rule trans :premises (@p2575 @p2573)) % 0.93/1.18 (step @p2577 :rule refl :args (tptp.singletonsubset)) % 0.93/1.18 (step @p2578 :rule cong :premises (@p2577 @p2576) :args (@t635)) % 0.93/1.18 (step @p2579 :rule eq_resolve :premises (@p138 @p2578)) % 0.93/1.18 (step @p2580 :rule cong :premises (@p2579 @p2559) :args (@t2394)) % 0.93/1.18 (step @p2581 :rule refl :args ((tptp.iskpair @t629))) % 0.93/1.18 (step @p2582 :rule cong :premises (@p657) :args (@t1329)) % 0.93/1.18 (step @p2583 :rule trans :premises (@p2582 @p2581)) % 0.93/1.18 (step @p2584 :rule refl :args (tptp.iskpair)) % 0.93/1.18 (step @p2585 :rule ho_cong :premises (@p2584 @p657)) % 0.93/1.18 (step @p2586 :rule cong :premises (@p2585 @p2583) :args ((= (_ tptp.iskpair @t1094) @t1329))) % 0.93/1.18 (step @p2587 :rule symm :premises (@p2586)) % 0.93/1.18 (step @p2588 :rule refl :args (@t630)) % 0.93/1.18 (step @p2589 :rule eq_resolve :premises (@p2588 @p2587)) % 0.93/1.18 (step @p2590 :rule ho_cong :premises (@p2584 @p683)) % 0.93/1.18 (step @p2591 :rule trans :premises (@p2590 @p2589)) % 0.93/1.18 (step @p2592 :rule cong :premises (@p2591) :args (@t631)) % 0.93/1.18 (step @p2593 :rule refl :args (tptp.kpairp)) % 0.93/1.18 (step @p2594 :rule cong :premises (@p2593 @p2592) :args (@t632)) % 0.93/1.18 (step @p2595 :rule eq_resolve :premises (@p137 @p2594)) % 0.93/1.18 (step @p2596 :rule cong :premises (@p2595 @p2580) :args (@t2395)) % 0.93/1.18 (step @p2597 :rule refl :args ((tptp.iskpair @t618))) % 0.93/1.18 (step @p2598 :rule cong :premises (@p1289) :args (@t1331)) % 0.93/1.18 (step @p2599 :rule trans :premises (@p2598 @p2597)) % 0.93/1.18 (step @p2600 :rule ho_cong :premises (@p2584 @p1289)) % 0.93/1.18 (step @p2601 :rule cong :premises (@p2600 @p2599) :args ((= (_ tptp.iskpair @t1178) @t1331))) % 0.93/1.18 (step @p2602 :rule symm :premises (@p2601)) % 0.93/1.18 (step @p2603 :rule refl :args (@t626)) % 0.93/1.18 (step @p2604 :rule eq_resolve :premises (@p2603 @p2602)) % 0.93/1.18 (step @p2605 :rule ho_cong :premises (@p2584 @p1319)) % 0.93/1.18 (step @p2606 :rule trans :premises (@p2605 @p2604)) % 0.93/1.18 (step @p2607 :rule cong :premises (@p2606) :args (@t627)) % 0.93/1.18 (step @p2608 :rule refl :args (tptp.kpairiskpair)) % 0.93/1.18 (step @p2609 :rule cong :premises (@p2608 @p2607) :args (@t628)) % 0.93/1.18 (step @p2610 :rule eq_resolve :premises (@p136 @p2609)) % 0.93/1.18 (step @p2611 :rule cong :premises (@p2610 @p2596) :args (@t2396)) % 0.93/1.18 (step @p2612 :rule refl :args ((tptp.in @t19 @t619))) % 0.93/1.18 (step @p2613 :rule refl :args ((tptp.setunion @t618))) % 0.93/1.18 (step @p2614 :rule cong :premises (@p1289) :args (@t1333)) % 0.93/1.18 (step @p2615 :rule trans :premises (@p2614 @p2613)) % 0.93/1.18 (step @p2616 :rule cong :premises (@p958 @p2615) :args (@t1334)) % 0.93/1.18 (step @p2617 :rule trans :premises (@p2616 @p2612)) % 0.93/1.18 (step @p2618 :rule refl :args (@t20)) % 0.93/1.18 (step @p2619 :rule ho_cong :premises (@p2618 @p2615)) % 0.93/1.18 (step @p2620 :rule cong :premises (@p2619 @p2617) :args ((= (_ @t20 @t1333) @t1334))) % 0.93/1.18 (step @p2621 :rule symm :premises (@p2620)) % 0.93/1.18 (step @p2622 :rule refl :args (@t623)) % 0.93/1.18 (step @p2623 :rule eq_resolve :premises (@p2622 @p2621)) % 0.93/1.18 (step @p2624 :rule ho_cong :premises (@p2041 @p1289)) % 0.93/1.18 (step @p2625 :rule cong :premises (@p2624 @p2615) :args ((= (_ tptp.setunion @t1178) @t1333))) % 0.93/1.18 (step @p2626 :rule symm :premises (@p2625)) % 0.93/1.18 (step @p2627 :rule refl :args (@t619)) % 0.93/1.18 (step @p2628 :rule eq_resolve :premises (@p2627 @p2626)) % 0.93/1.18 (step @p2629 :rule ho_cong :premises (@p2041 @p1319)) % 0.93/1.18 (step @p2630 :rule trans :premises (@p2629 @p2628)) % 0.93/1.18 (step @p2631 :rule ho_cong :premises (@p2618 @p2630)) % 0.93/1.18 (step @p2632 :rule trans :premises (@p2631 @p2623)) % 0.93/1.18 (step @p2633 :rule cong :premises (@p2632) :args (@t624)) % 0.93/1.18 (step @p2634 :rule refl :args (tptp.setukpairIR)) % 0.93/1.18 (step @p2635 :rule cong :premises (@p2634 @p2633) :args (@t625)) % 0.93/1.18 (step @p2636 :rule eq_resolve :premises (@p135 @p2635)) % 0.93/1.18 (step @p2637 :rule cong :premises (@p2636 @p2611) :args (@t2397)) % 0.93/1.18 (step @p2638 :rule refl :args ((tptp.in @t4 @t619))) % 0.93/1.18 (step @p2639 :rule cong :premises (@p1006 @p2615) :args (@t1336)) % 0.93/1.18 (step @p2640 :rule trans :premises (@p2639 @p2638)) % 0.93/1.18 (step @p2641 :rule ho_cong :premises (@p2111 @p2615)) % 0.93/1.18 (step @p2642 :rule cong :premises (@p2641 @p2640) :args ((= (_ @t5 @t1333) @t1336))) % 0.93/1.18 (step @p2643 :rule symm :premises (@p2642)) % 0.93/1.18 (step @p2644 :rule refl :args (@t620)) % 0.93/1.18 (step @p2645 :rule eq_resolve :premises (@p2644 @p2643)) % 0.93/1.18 (step @p2646 :rule ho_cong :premises (@p2111 @p2630)) % 0.93/1.18 (step @p2647 :rule trans :premises (@p2646 @p2645)) % 0.93/1.18 (step @p2648 :rule cong :premises (@p2647) :args (@t621)) % 0.93/1.18 (step @p2649 :rule refl :args (tptp.setukpairIL)) % 0.93/1.18 (step @p2650 :rule cong :premises (@p2649 @p2648) :args (@t622)) % 0.93/1.18 (step @p2651 :rule eq_resolve :premises (@p134 @p2650)) % 0.93/1.18 (step @p2652 :rule cong :premises (@p2651 @p2637) :args (@t2398)) % 0.93/1.18 (step @p2653 :rule eq-symm :args (@t1339 tptp.secondinupair)) % 0.93/1.18 (step @p2654 :rule refl :args (tptp.secondinupair)) % 0.93/1.18 (step @p2655 :rule refl :args ((tptp.in @t19 @t291))) % 0.93/1.18 (step @p2656 :rule cong :premises (@p958 @p1285) :args (@t1338)) % 0.93/1.18 (step @p2657 :rule trans :premises (@p2656 @p2655)) % 0.93/1.18 (step @p2658 :rule ho_cong :premises (@p2618 @p1285)) % 0.93/1.18 (step @p2659 :rule cong :premises (@p2658 @p2657) :args ((= (_ @t20 @t1176) @t1338))) % 0.93/1.18 (step @p2660 :rule symm :premises (@p2659)) % 0.93/1.18 (step @p2661 :rule refl :args (@t301)) % 0.93/1.18 (step @p2662 :rule eq_resolve :premises (@p2661 @p2660)) % 0.93/1.18 (step @p2663 :rule ho_cong :premises (@p2618 @p1313)) % 0.93/1.18 (step @p2664 :rule trans :premises (@p2663 @p2662)) % 0.93/1.18 (step @p2665 :rule cong :premises (@p2664) :args (@t302)) % 0.93/1.18 (step @p2666 :rule cong :premises (@p2665 @p2654) :args ((= @t302 tptp.secondinupair))) % 0.93/1.18 (step @p2667 :rule trans :premises (@p2666 @p2653)) % 0.93/1.18 (step @p2668 :rule eq-symm :args (tptp.secondinupair @t302)) % 0.93/1.18 (step @p2669 :rule trans :premises (@p2668 @p2667)) % 0.93/1.18 (step @p2670 :rule eq_resolve :premises (@p133 @p2669)) % 0.93/1.18 (step @p2671 :rule cong :premises (@p2670 @p2652) :args (@t2399)) % 0.93/1.18 (step @p2672 :rule refl :args ((tptp.in @t4 @t598))) % 0.93/1.18 (step @p2673 :rule refl :args (@t1340)) % 0.93/1.18 (step @p2674 :rule cong :premises (@p1006 @p2673) :args (@t1341)) % 0.93/1.18 (step @p2675 :rule trans :premises (@p2674 @p2672)) % 0.93/1.18 (step @p2676 :rule ho_cong :premises (@p2111 @p2673)) % 0.93/1.18 (step @p2677 :rule cong :premises (@p2676 @p2675) :args ((= (_ @t5 @t1340) @t1341))) % 0.93/1.18 (step @p2678 :rule symm :premises (@p2677)) % 0.93/1.18 (step @p2679 :rule refl :args (@t599)) % 0.93/1.18 (step @p2680 :rule eq_resolve :premises (@p2679 @p2678)) % 0.93/1.18 (step @p2681 :rule refl :args (@t598)) % 0.93/1.18 (step @p2682 :rule cong :premises (@p2681 @p2673) :args ((= @t598 @t1340))) % 0.93/1.18 (step @p2683 :rule symm :premises (@p2682)) % 0.93/1.18 (step @p2684 :rule eq_resolve :premises (@p2681 @p2683)) % 0.93/1.18 (step @p2685 :rule ho_cong :premises (@p2111 @p2684)) % 0.93/1.18 (step @p2686 :rule trans :premises (@p2685 @p2680)) % 0.93/1.18 (step @p2687 :rule cong :premises (@p2686) :args (@t609)) % 0.93/1.18 (step @p2688 :rule refl :args (@t1343)) % 0.93/1.18 (step @p2689 :rule refl :args (@t6)) % 0.93/1.18 (step @p2690 :rule cong :premises (@p2689 @p2688) :args ((= @t6 @t1343))) % 0.93/1.18 (step @p2691 :rule symm :premises (@p2690)) % 0.93/1.18 (step @p2692 :rule eq_resolve :premises (@p2689 @p2691)) % 0.93/1.18 (step @p2693 :rule nary_cong :premises (@p723 @p2692 @p2687) :args (@t2400)) % 0.93/1.18 (step @p2694 :rule cong :premises (@p2693) :args ((forall @t245 @t2400))) % 0.93/1.18 (step @p2695 :rule aci_norm :args ((= (or @t7 (or @t6 @t609)) @t2400))) % 0.93/1.18 (step @p2696 :rule refl :args (@t609)) % 0.93/1.18 (step @p2697 :rule bool-double-not-elim :args (@t6)) % 0.93/1.18 (step @p2698 :rule nary_cong :premises (@p2697 @p2696) :args ((or @t2401 @t609))) % 0.93/1.18 (step @p2699 :rule bool-impl-elim :args (@t435 @t609)) % 0.93/1.18 (step @p2700 :rule trans :premises (@p2699 @p2698)) % 0.93/1.18 (step @p2701 :rule nary_cong :premises (@p720 @p2700) :args ((or @t7 @t613))) % 0.93/1.18 (step @p2702 :rule trans :premises (@p2701 @p2695)) % 0.93/1.18 (step @p2703 :rule refl :args (@t613)) % 0.93/1.18 (step @p2704 :rule bool-double-not-elim :args (@t7)) % 0.93/1.18 (step @p2705 :rule nary_cong :premises (@p2704 @p2703) :args ((or @t2402 @t613))) % 0.93/1.18 (step @p2706 :rule bool-impl-elim :args (@t197 @t613)) % 0.93/1.18 (step @p2707 :rule trans :premises (@p2706 @p2705)) % 0.93/1.18 (step @p2708 :rule trans :premises (@p2707 @p2702)) % 0.93/1.18 (step @p2709 :rule cong :premises (@p2708) :args (@t614)) % 0.93/1.18 (step @p2710 :rule trans :premises (@p2709 @p2694)) % 0.93/1.18 (step @p2711 :rule refl :args (tptp.symdiffIneg2)) % 0.93/1.18 (step @p2712 :rule cong :premises (@p2711 @p2710) :args (@t615)) % 0.93/1.18 (step @p2713 :rule eq_resolve :premises (@p132 @p2712)) % 0.93/1.18 (step @p2714 :rule cong :premises (@p2713 @p2671) :args (@t2403)) % 0.93/1.18 (step @p2715 :rule cong :premises (@p2692) :args (@t435)) % 0.93/1.18 (step @p2716 :rule nary_cong :premises (@p747 @p2715 @p2687) :args (@t2404)) % 0.93/1.18 (step @p2717 :rule cong :premises (@p2716) :args ((forall @t245 @t2404))) % 0.93/1.18 (step @p2718 :rule aci_norm :args ((= (or @t197 (or @t435 @t609)) @t2404))) % 0.93/1.18 (step @p2719 :rule bool-impl-elim :args (@t6 @t609)) % 0.93/1.18 (step @p2720 :rule nary_cong :premises (@p1909 @p2719) :args ((or @t197 @t610))) % 0.93/1.18 (step @p2721 :rule trans :premises (@p2720 @p2718)) % 0.93/1.18 (step @p2722 :rule bool-impl-elim :args (@t7 @t610)) % 0.93/1.18 (step @p2723 :rule trans :premises (@p2722 @p2721)) % 0.93/1.18 (step @p2724 :rule cong :premises (@p2723) :args (@t611)) % 0.93/1.18 (step @p2725 :rule trans :premises (@p2724 @p2717)) % 0.93/1.18 (step @p2726 :rule refl :args (tptp.symdiffIneg1)) % 0.93/1.18 (step @p2727 :rule cong :premises (@p2726 @p2725) :args (@t612)) % 0.93/1.18 (step @p2728 :rule eq_resolve :premises (@p131 @p2727)) % 0.93/1.18 (step @p2729 :rule cong :premises (@p2728 @p2714) :args (@t2405)) % 0.93/1.18 (step @p2730 :rule nary_cong :premises (@p723 @p2715 @p2686) :args (@t2406)) % 0.93/1.18 (step @p2731 :rule cong :premises (@p2730) :args ((forall @t245 @t2406))) % 0.93/1.18 (step @p2732 :rule aci_norm :args ((= (or @t7 (or @t435 @t599)) @t2406))) % 0.93/1.18 (step @p2733 :rule bool-impl-elim :args (@t6 @t599)) % 0.93/1.18 (step @p2734 :rule nary_cong :premises (@p720 @p2733) :args ((or @t7 @t606))) % 0.93/1.18 (step @p2735 :rule trans :premises (@p2734 @p2732)) % 0.93/1.18 (step @p2736 :rule refl :args (@t606)) % 0.93/1.18 (step @p2737 :rule nary_cong :premises (@p2704 @p2736) :args ((or @t2402 @t606))) % 0.93/1.18 (step @p2738 :rule bool-impl-elim :args (@t197 @t606)) % 0.93/1.18 (step @p2739 :rule trans :premises (@p2738 @p2737)) % 0.93/1.18 (step @p2740 :rule trans :premises (@p2739 @p2735)) % 0.93/1.18 (step @p2741 :rule cong :premises (@p2740) :args (@t607)) % 0.93/1.18 (step @p2742 :rule trans :premises (@p2741 @p2731)) % 0.93/1.18 (step @p2743 :rule refl :args (tptp.symdiffI2)) % 0.93/1.18 (step @p2744 :rule cong :premises (@p2743 @p2742) :args (@t608)) % 0.93/1.18 (step @p2745 :rule eq_resolve :premises (@p130 @p2744)) % 0.93/1.18 (step @p2746 :rule cong :premises (@p2745 @p2729) :args (@t2407)) % 0.93/1.18 (step @p2747 :rule nary_cong :premises (@p747 @p2692 @p2686) :args (@t2408)) % 0.93/1.18 (step @p2748 :rule cong :premises (@p2747) :args ((forall @t245 @t2408))) % 0.93/1.18 (step @p2749 :rule aci_norm :args ((= (or @t197 (or @t6 @t599)) @t2408))) % 0.93/1.18 (step @p2750 :rule nary_cong :premises (@p2697 @p2679) :args ((or @t2401 @t599))) % 0.93/1.18 (step @p2751 :rule bool-impl-elim :args (@t435 @t599)) % 0.93/1.18 (step @p2752 :rule trans :premises (@p2751 @p2750)) % 0.93/1.18 (step @p2753 :rule nary_cong :premises (@p1909 @p2752) :args ((or @t197 @t603))) % 0.93/1.18 (step @p2754 :rule trans :premises (@p2753 @p2749)) % 0.93/1.18 (step @p2755 :rule bool-impl-elim :args (@t7 @t603)) % 0.93/1.18 (step @p2756 :rule trans :premises (@p2755 @p2754)) % 0.93/1.18 (step @p2757 :rule cong :premises (@p2756) :args (@t604)) % 0.93/1.18 (step @p2758 :rule trans :premises (@p2757 @p2748)) % 0.93/1.18 (step @p2759 :rule refl :args (tptp.symdiffI1)) % 0.93/1.18 (step @p2760 :rule cong :premises (@p2759 @p2758) :args (@t605)) % 0.93/1.18 (step @p2761 :rule eq_resolve :premises (@p129 @p2760)) % 0.93/1.18 (step @p2762 :rule cong :premises (@p2761 @p2746) :args (@t2409)) % 0.93/1.18 (step @p2763 :rule refl :args (@t1349)) % 0.93/1.18 (step @p2764 :rule refl :args (@t1350)) % 0.93/1.18 (step @p2765 :rule nary_cong :premises (@p2687 @p2764 @p2763) :args (@t2410)) % 0.93/1.18 (step @p2766 :rule cong :premises (@p2765) :args ((forall @t245 @t2410))) % 0.93/1.18 (step @p2767 :rule aci_norm :args ((= (or @t609 @t2411) @t2410))) % 0.93/1.18 (step @p2768 :rule bool-impl-elim :args (@t599 @t2411)) % 0.93/1.18 (step @p2769 :rule trans :premises (@p2768 @p2767)) % 0.93/1.18 (step @p2770 :rule cong :premises (@p2769) :args ((forall @t245 (=> @t599 @t2411)))) % 0.93/1.18 (step @p2771 :rule trans :premises (@p2770 @p2766)) % 0.93/1.18 (step @p2772 :rule aci_norm :args ((= (and @t1102 @t1343 true) @t1349))) % 0.93/1.18 (step @p2773 :rule evaluate :args (@t2412)) % 0.93/1.18 (step @p2774 :rule refl :args (@t1343)) % 0.93/1.18 (step @p2775 :rule refl :args (@t1102)) % 0.93/1.18 (step @p2776 :rule nary_cong :premises (@p2775 @p2774 @p2773) :args (@t2413)) % 0.93/1.18 (step @p2777 :rule trans :premises (@p2776 @p2772)) % 0.93/1.18 (step @p2778 :rule aci_norm :args ((= (and @t1101 @t1345 true) @t1350))) % 0.93/1.18 (step @p2779 :rule refl :args (@t1345)) % 0.93/1.18 (step @p2780 :rule nary_cong :premises (@p716 @p2779 @p2773) :args (@t2414)) % 0.93/1.18 (step @p2781 :rule trans :premises (@p2780 @p2778)) % 0.93/1.18 (step @p2782 :rule nary_cong :premises (@p2781 @p2777) :args (@t2415)) % 0.93/1.18 (step @p2783 :rule aci_norm :args ((= @t2416 @t2415))) % 0.93/1.18 (step @p2784 :rule trans :premises (@p2783 @p2782)) % 0.93/1.18 (step @p2785 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2420 @t2419 @t2418 @t173)) @t2416))) % 0.93/1.18 (step @p2786 :rule refl :args (@t173)) % 0.93/1.18 (step @p2787 :rule refl :args (@t2418)) % 0.93/1.18 (step @p2788 :rule refl :args (@t2419)) % 0.93/1.18 (step @p2789 :rule bool-eq-false :args (@t173)) % 0.93/1.18 (step @p2790 :rule symm :premises (@p2789)) % 0.93/1.18 (step @p2791 :rule cong :premises (@p2790) :args ((not @t2417))) % 0.93/1.18 (step @p2792 :rule bool-double-not-elim :args (@t173)) % 0.93/1.18 (step @p2793 :rule symm :premises (@p2792)) % 0.93/1.18 (step @p2794 :rule trans :premises (@p2793 @p2791)) % 0.93/1.18 (step @p2795 :rule nary_cong :premises (@p2794 @p2788 @p2787 @p2786) :args (@t2421)) % 0.93/1.18 (step @p2796 :rule aci_norm :args ((= @t2422 @t2421))) % 0.93/1.18 (step @p2797 :rule trans :premises (@p2796 @p2795)) % 0.93/1.18 (step @p2798 :rule cong :premises (@p2797) :args ((forall @t179 @t2422))) % 0.93/1.18 (step @p2799 :rule trans :premises (@p2798 @p2785)) % 0.93/1.18 (step @p2800 :rule trans :premises (@p2799 @p2784)) % 0.93/1.18 (step @p2801 :rule refl :args (@t2417)) % 0.93/1.18 (step @p2802 :rule nary_cong :premises (@p747 @p2692 @p2801) :args (@t2423)) % 0.93/1.18 (step @p2803 :rule nary_cong :premises (@p723 @p2715 @p2801) :args (@t2424)) % 0.93/1.18 (step @p2804 :rule nary_cong :premises (@p2803 @p2802 @p2786) :args (@t2425)) % 0.93/1.18 (step @p2805 :rule cong :premises (@p2804) :args ((forall @t179 @t2425))) % 0.93/1.18 (step @p2806 :rule trans :premises (@p2805 @p2800)) % 0.93/1.18 (step @p2807 :rule aci_norm :args ((= (or @t2424 (or @t2423 @t173)) @t2425))) % 0.93/1.18 (step @p2808 :rule aci_norm :args ((= (and @t197 @t2426) @t2423))) % 0.93/1.18 (step @p2809 :rule bool-implies-de-morgan :args (@t6 @t173)) % 0.93/1.18 (step @p2810 :rule nary_cong :premises (@p1909 @p2809) :args ((and @t197 @t2427))) % 0.93/1.18 (step @p2811 :rule trans :premises (@p2810 @p2808)) % 0.93/1.18 (step @p2812 :rule bool-implies-de-morgan :args (@t197 @t498)) % 0.93/1.18 (step @p2813 :rule trans :premises (@p2812 @p2811)) % 0.93/1.18 (step @p2814 :rule nary_cong :premises (@p2813 @p2786) :args ((or (not @t593) @t173))) % 0.93/1.18 (step @p2815 :rule bool-impl-elim :args (@t593 @t173)) % 0.93/1.18 (step @p2816 :rule trans :premises (@p2815 @p2814)) % 0.93/1.18 (step @p2817 :rule aci_norm :args ((= (and @t7 (and @t435 @t2417)) @t2424))) % 0.93/1.18 (step @p2818 :rule bool-implies-de-morgan :args (@t435 @t173)) % 0.93/1.18 (step @p2819 :rule nary_cong :premises (@p720 @p2818) :args ((and @t7 (not @t595)))) % 0.93/1.18 (step @p2820 :rule trans :premises (@p2819 @p2817)) % 0.93/1.18 (step @p2821 :rule bool-implies-de-morgan :args (@t7 @t595)) % 0.93/1.18 (step @p2822 :rule trans :premises (@p2821 @p2820)) % 0.93/1.18 (step @p2823 :rule nary_cong :premises (@p2822 @p2816) :args ((or (not @t596) @t594))) % 0.93/1.18 (step @p2824 :rule trans :premises (@p2823 @p2807)) % 0.93/1.18 (step @p2825 :rule bool-impl-elim :args (@t596 @t594)) % 0.93/1.18 (step @p2826 :rule trans :premises (@p2825 @p2824)) % 0.93/1.18 (step @p2827 :rule cong :premises (@p2826) :args (@t597)) % 0.93/1.18 (step @p2828 :rule trans :premises (@p2827 @p2806)) % 0.93/1.18 (step @p2829 :rule refl :args (@t599)) % 0.93/1.18 (step @p2830 :rule cong :premises (@p2829 @p2828) :args (@t600)) % 0.93/1.18 (step @p2831 :rule cong :premises (@p2830) :args (@t601)) % 0.93/1.18 (step @p2832 :rule trans :premises (@p2831 @p2771)) % 0.93/1.18 (step @p2833 :rule refl :args (tptp.symdiffE)) % 0.93/1.18 (step @p2834 :rule cong :premises (@p2833 @p2832) :args (@t602)) % 0.93/1.18 (step @p2835 :rule eq_resolve :premises (@p128 @p2834)) % 0.93/1.18 (step @p2836 :rule cong :premises (@p2835 @p2762) :args (@t2428)) % 0.93/1.18 (step @p2837 :rule refl :args (@t1352)) % 0.93/1.18 (step @p2838 :rule refl :args (@t420)) % 0.93/1.18 (step @p2839 :rule cong :premises (@p2838 @p2837) :args ((= @t420 @t1352))) % 0.93/1.18 (step @p2840 :rule symm :premises (@p2839)) % 0.93/1.18 (step @p2841 :rule eq_resolve :premises (@p2838 @p2840)) % 0.93/1.18 (step @p2842 :rule refl :args (@t1353)) % 0.93/1.18 (step @p2843 :rule refl :args (@t565)) % 0.93/1.18 (step @p2844 :rule cong :premises (@p2843 @p2842) :args ((= @t565 @t1353))) % 0.93/1.18 (step @p2845 :rule symm :premises (@p2844)) % 0.93/1.18 (step @p2846 :rule eq_resolve :premises (@p2843 @p2845)) % 0.93/1.18 (step @p2847 :rule cong :premises (@p251 @p2846) :args (@t2429)) % 0.93/1.18 (step @p2848 :rule cong :premises (@p2847) :args (@t2430)) % 0.93/1.18 (step @p2849 :rule nary_cong :premises (@p2848 @p2841) :args (@t2431)) % 0.93/1.18 (step @p2850 :rule cong :premises (@p2849) :args ((forall @t12 @t2431))) % 0.93/1.18 (step @p2851 :rule bool-impl-elim :args (@t2429 @t420)) % 0.93/1.18 (step @p2852 :rule cong :premises (@p2851) :args ((forall @t12 (=> @t2429 @t420)))) % 0.93/1.18 (step @p2853 :rule trans :premises (@p2852 @p2850)) % 0.93/1.18 (step @p2854 :rule refl :args (@t420)) % 0.93/1.18 (step @p2855 :rule eq-symm :args (@t565 tptp.emptyset)) % 0.93/1.18 (step @p2856 :rule cong :premises (@p2855 @p2854) :args (@t590)) % 0.93/1.18 (step @p2857 :rule cong :premises (@p2856) :args (@t591)) % 0.93/1.18 (step @p2858 :rule trans :premises (@p2857 @p2853)) % 0.93/1.18 (step @p2859 :rule refl :args (tptp.setminusSubset1)) % 0.93/1.18 (step @p2860 :rule cong :premises (@p2859 @p2858) :args (@t592)) % 0.93/1.18 (step @p2861 :rule eq_resolve :premises (@p127 @p2860)) % 0.93/1.18 (step @p2862 :rule cong :premises (@p2861 @p2836) :args (@t2432)) % 0.93/1.18 (step @p2863 :rule refl :args ((tptp.subset @t565 @t2))) % 0.93/1.18 (step @p2864 :rule cong :premises (@p2842 @p654) :args (@t1356)) % 0.93/1.18 (step @p2865 :rule trans :premises (@p2864 @p2863)) % 0.93/1.18 (step @p2866 :rule ho_cong :premises (@p790 @p2842)) % 0.93/1.18 (step @p2867 :rule ho_cong :premises (@p2866 @p654)) % 0.93/1.18 (step @p2868 :rule cong :premises (@p2867 @p2865) :args ((= (_ (_ tptp.subset @t1353) @t2) @t1356))) % 0.93/1.18 (step @p2869 :rule symm :premises (@p2868)) % 0.93/1.18 (step @p2870 :rule refl :args (@t587)) % 0.93/1.18 (step @p2871 :rule eq_resolve :premises (@p2870 @p2869)) % 0.93/1.18 (step @p2872 :rule ho_cong :premises (@p790 @p2846)) % 0.93/1.18 (step @p2873 :rule ho_cong :premises (@p2872 @p654)) % 0.93/1.18 (step @p2874 :rule trans :premises (@p2873 @p2871)) % 0.93/1.18 (step @p2875 :rule cong :premises (@p2874) :args (@t588)) % 0.93/1.18 (step @p2876 :rule refl :args (tptp.setminusLsub)) % 0.93/1.18 (step @p2877 :rule cong :premises (@p2876 @p2875) :args (@t589)) % 0.93/1.18 (step @p2878 :rule eq_resolve :premises (@p126 @p2877)) % 0.93/1.18 (step @p2879 :rule cong :premises (@p2878 @p2862) :args (@t2433)) % 0.93/1.18 (step @p2880 :rule refl :args ((tptp.in @t4 @t565))) % 0.93/1.18 (step @p2881 :rule cong :premises (@p1006 @p2842) :args (@t1358)) % 0.93/1.18 (step @p2882 :rule trans :premises (@p2881 @p2880)) % 0.93/1.18 (step @p2883 :rule ho_cong :premises (@p2111 @p2842)) % 0.93/1.18 (step @p2884 :rule cong :premises (@p2883 @p2882) :args ((= (_ @t5 @t1353) @t1358))) % 0.93/1.18 (step @p2885 :rule symm :premises (@p2884)) % 0.93/1.18 (step @p2886 :rule refl :args (@t566)) % 0.93/1.18 (step @p2887 :rule eq_resolve :premises (@p2886 @p2885)) % 0.93/1.18 (step @p2888 :rule ho_cong :premises (@p2111 @p2846)) % 0.93/1.18 (step @p2889 :rule trans :premises (@p2888 @p2887)) % 0.93/1.18 (step @p2890 :rule cong :premises (@p2889) :args (@t578)) % 0.93/1.18 (step @p2891 :rule nary_cong :premises (@p2715 @p2890) :args (@t2434)) % 0.93/1.18 (step @p2892 :rule cong :premises (@p2891) :args ((forall @t245 @t2434))) % 0.93/1.18 (step @p2893 :rule bool-impl-elim :args (@t6 @t578)) % 0.93/1.18 (step @p2894 :rule cong :premises (@p2893) :args (@t585)) % 0.93/1.18 (step @p2895 :rule trans :premises (@p2894 @p2892)) % 0.93/1.18 (step @p2896 :rule refl :args (tptp.setminusIRneg)) % 0.93/1.18 (step @p2897 :rule cong :premises (@p2896 @p2895) :args (@t586)) % 0.93/1.18 (step @p2898 :rule eq_resolve :premises (@p125 @p2897)) % 0.93/1.18 (step @p2899 :rule cong :premises (@p2898 @p2879) :args (@t2435)) % 0.93/1.18 (step @p2900 :rule nary_cong :premises (@p723 @p2890) :args (@t2436)) % 0.93/1.18 (step @p2901 :rule cong :premises (@p2900) :args ((forall @t245 @t2436))) % 0.93/1.18 (step @p2902 :rule refl :args (@t578)) % 0.93/1.18 (step @p2903 :rule nary_cong :premises (@p2704 @p2902) :args ((or @t2402 @t578))) % 0.93/1.18 (step @p2904 :rule bool-impl-elim :args (@t197 @t578)) % 0.93/1.18 (step @p2905 :rule trans :premises (@p2904 @p2903)) % 0.93/1.18 (step @p2906 :rule cong :premises (@p2905) :args (@t583)) % 0.93/1.18 (step @p2907 :rule trans :premises (@p2906 @p2901)) % 0.93/1.18 (step @p2908 :rule refl :args (tptp.setminusILneg)) % 0.93/1.18 (step @p2909 :rule cong :premises (@p2908 @p2907) :args (@t584)) % 0.93/1.18 (step @p2910 :rule eq_resolve :premises (@p124 @p2909)) % 0.93/1.18 (step @p2911 :rule cong :premises (@p2910 @p2899) :args (@t2437)) % 0.93/1.18 (step @p2912 :rule nary_cong :premises (@p2889 @p2692 @p747) :args (@t2438)) % 0.93/1.18 (step @p2913 :rule cong :premises (@p2912) :args ((forall @t245 @t2438))) % 0.93/1.18 (step @p2914 :rule aci_norm :args ((= (or @t566 @t2439) @t2438))) % 0.93/1.18 (step @p2915 :rule nary_cong :premises (@p2697 @p1909) :args ((or @t2401 @t197))) % 0.93/1.18 (step @p2916 :rule bool-impl-elim :args (@t435 @t197)) % 0.93/1.18 (step @p2917 :rule trans :premises (@p2916 @p2915)) % 0.93/1.18 (step @p2918 :rule nary_cong :premises (@p2886 @p2917) :args ((or @t566 @t436))) % 0.93/1.18 (step @p2919 :rule trans :premises (@p2918 @p2914)) % 0.93/1.18 (step @p2920 :rule refl :args (@t436)) % 0.93/1.18 (step @p2921 :rule bool-double-not-elim :args (@t566)) % 0.93/1.18 (step @p2922 :rule nary_cong :premises (@p2921 @p2920) :args ((or @t2440 @t436))) % 0.93/1.18 (step @p2923 :rule bool-impl-elim :args (@t578 @t436)) % 0.93/1.18 (step @p2924 :rule trans :premises (@p2923 @p2922)) % 0.93/1.18 (step @p2925 :rule trans :premises (@p2924 @p2919)) % 0.93/1.18 (step @p2926 :rule cong :premises (@p2925) :args (@t581)) % 0.93/1.18 (step @p2927 :rule trans :premises (@p2926 @p2913)) % 0.93/1.18 (step @p2928 :rule refl :args (tptp.setminusELneg)) % 0.93/1.18 (step @p2929 :rule cong :premises (@p2928 @p2927) :args (@t582)) % 0.93/1.18 (step @p2930 :rule eq_resolve :premises (@p123 @p2929)) % 0.93/1.18 (step @p2931 :rule cong :premises (@p2930 @p2911) :args (@t2441)) % 0.93/1.18 (step @p2932 :rule nary_cong :premises (@p2889 @p747 @p2692) :args (@t2442)) % 0.93/1.18 (step @p2933 :rule cong :premises (@p2932) :args ((forall @t245 @t2442))) % 0.93/1.18 (step @p2934 :rule aci_norm :args ((= (or @t566 @t2443) @t2442))) % 0.93/1.18 (step @p2935 :rule bool-impl-elim :args (@t7 @t6)) % 0.93/1.18 (step @p2936 :rule nary_cong :premises (@p2886 @p2935) :args ((or @t566 @t191))) % 0.93/1.18 (step @p2937 :rule trans :premises (@p2936 @p2934)) % 0.93/1.18 (step @p2938 :rule refl :args (@t191)) % 0.93/1.18 (step @p2939 :rule nary_cong :premises (@p2921 @p2938) :args ((or @t2440 @t191))) % 0.93/1.18 (step @p2940 :rule bool-impl-elim :args (@t578 @t191)) % 0.93/1.18 (step @p2941 :rule trans :premises (@p2940 @p2939)) % 0.93/1.18 (step @p2942 :rule trans :premises (@p2941 @p2937)) % 0.93/1.18 (step @p2943 :rule cong :premises (@p2942) :args (@t579)) % 0.93/1.18 (step @p2944 :rule trans :premises (@p2943 @p2933)) % 0.93/1.18 (step @p2945 :rule refl :args (tptp.setminusERneg)) % 0.93/1.18 (step @p2946 :rule cong :premises (@p2945 @p2944) :args (@t580)) % 0.93/1.18 (step @p2947 :rule eq_resolve :premises (@p122 @p2946)) % 0.93/1.18 (step @p2948 :rule cong :premises (@p2947 @p2931) :args (@t2444)) % 0.93/1.18 (step @p2949 :rule cong :premises (@p2841) :args (@t439)) % 0.93/1.18 (step @p2950 :rule nary_cong :premises (@p2949 @p2847) :args (@t2445)) % 0.93/1.18 (step @p2951 :rule cong :premises (@p2950) :args ((forall @t12 @t2445))) % 0.93/1.18 (step @p2952 :rule bool-impl-elim :args (@t420 @t2429)) % 0.93/1.18 (step @p2953 :rule cong :premises (@p2952) :args ((forall @t12 (=> @t420 @t2429)))) % 0.93/1.18 (step @p2954 :rule trans :premises (@p2953 @p2951)) % 0.93/1.18 (step @p2955 :rule cong :premises (@p2854 @p2855) :args (@t575)) % 0.93/1.18 (step @p2956 :rule cong :premises (@p2955) :args (@t576)) % 0.93/1.18 (step @p2957 :rule trans :premises (@p2956 @p2954)) % 0.93/1.18 (step @p2958 :rule refl :args (tptp.setminusSubset2)) % 0.93/1.18 (step @p2959 :rule cong :premises (@p2958 @p2957) :args (@t577)) % 0.93/1.18 (step @p2960 :rule eq_resolve :premises (@p121 @p2959)) % 0.93/1.18 (step @p2961 :rule cong :premises (@p2960 @p2948) :args (@t2446)) % 0.93/1.18 (step @p2962 :rule nary_cong :premises (@p2890 @p2715) :args (@t2447)) % 0.93/1.18 (step @p2963 :rule cong :premises (@p2962) :args ((forall @t245 @t2447))) % 0.93/1.18 (step @p2964 :rule bool-impl-elim :args (@t566 @t435)) % 0.93/1.18 (step @p2965 :rule cong :premises (@p2964) :args (@t572)) % 0.93/1.18 (step @p2966 :rule trans :premises (@p2965 @p2963)) % 0.93/1.18 (step @p2967 :rule refl :args (tptp.setminusER)) % 0.93/1.18 (step @p2968 :rule cong :premises (@p2967 @p2966) :args (@t573)) % 0.93/1.18 (step @p2969 :rule eq_resolve :premises (@p120 @p2968)) % 0.93/1.18 (step @p2970 :rule cong :premises (@p2969 @p2961) :args (@t2448)) % 0.93/1.18 (step @p2971 :rule nary_cong :premises (@p2890 @p723) :args (@t2449)) % 0.93/1.18 (step @p2972 :rule cong :premises (@p2971) :args ((forall @t245 @t2449))) % 0.93/1.18 (step @p2973 :rule bool-impl-elim :args (@t566 @t7)) % 0.93/1.18 (step @p2974 :rule cong :premises (@p2973) :args (@t570)) % 0.93/1.18 (step @p2975 :rule trans :premises (@p2974 @p2972)) % 0.93/1.18 (step @p2976 :rule refl :args (tptp.setminusEL)) % 0.93/1.18 (step @p2977 :rule cong :premises (@p2976 @p2975) :args (@t571)) % 0.93/1.18 (step @p2978 :rule eq_resolve :premises (@p119 @p2977)) % 0.93/1.18 (step @p2979 :rule cong :premises (@p2978 @p2970) :args (@t2450)) % 0.93/1.18 (step @p2980 :rule nary_cong :premises (@p747 @p2692 @p2889) :args (@t2451)) % 0.93/1.18 (step @p2981 :rule cong :premises (@p2980) :args ((forall @t245 @t2451))) % 0.93/1.18 (step @p2982 :rule aci_norm :args ((= (or @t197 (or @t6 @t566)) @t2451))) % 0.93/1.18 (step @p2983 :rule nary_cong :premises (@p2697 @p2886) :args ((or @t2401 @t566))) % 0.93/1.18 (step @p2984 :rule bool-impl-elim :args (@t435 @t566)) % 0.93/1.18 (step @p2985 :rule trans :premises (@p2984 @p2983)) % 0.93/1.18 (step @p2986 :rule nary_cong :premises (@p1909 @p2985) :args ((or @t197 @t567))) % 0.93/1.18 (step @p2987 :rule trans :premises (@p2986 @p2982)) % 0.93/1.18 (step @p2988 :rule bool-impl-elim :args (@t7 @t567)) % 0.93/1.18 (step @p2989 :rule trans :premises (@p2988 @p2987)) % 0.93/1.18 (step @p2990 :rule cong :premises (@p2989) :args (@t568)) % 0.93/1.18 (step @p2991 :rule trans :premises (@p2990 @p2981)) % 0.93/1.18 (step @p2992 :rule refl :args (tptp.setminusI)) % 0.93/1.18 (step @p2993 :rule cong :premises (@p2992 @p2991) :args (@t569)) % 0.93/1.18 (step @p2994 :rule eq_resolve :premises (@p118 @p2993)) % 0.93/1.18 (step @p2995 :rule cong :premises (@p2994 @p2979) :args (@t2452)) % 0.93/1.18 (step @p2996 :rule refl :args ((tptp.binunion @t515 @t558))) % 0.93/1.18 (step @p2997 :rule refl :args (@t1369)) % 0.93/1.18 (step @p2998 :rule refl :args (@t1370)) % 0.93/1.18 (step @p2999 :rule cong :premises (@p2998 @p2997) :args (@t1371)) % 0.93/1.18 (step @p3000 :rule trans :premises (@p2999 @p2996)) % 0.93/1.18 (step @p3001 :rule refl :args (tptp.binunion)) % 0.93/1.18 (step @p3002 :rule ho_cong :premises (@p3001 @p2998)) % 0.93/1.18 (step @p3003 :rule ho_cong :premises (@p3002 @p2997)) % 0.93/1.18 (step @p3004 :rule cong :premises (@p3003 @p3000) :args ((= (_ (_ tptp.binunion @t1370) @t1369) @t1371))) % 0.93/1.18 (step @p3005 :rule symm :premises (@p3004)) % 0.93/1.18 (step @p3006 :rule refl :args (@t559)) % 0.93/1.18 (step @p3007 :rule eq_resolve :premises (@p3006 @p3005)) % 0.93/1.18 (step @p3008 :rule refl :args (@t558)) % 0.93/1.18 (step @p3009 :rule cong :premises (@p3008 @p2997) :args ((= @t558 @t1369))) % 0.93/1.18 (step @p3010 :rule symm :premises (@p3009)) % 0.93/1.18 (step @p3011 :rule eq_resolve :premises (@p3008 @p3010)) % 0.93/1.18 (step @p3012 :rule refl :args (@t515)) % 0.93/1.18 (step @p3013 :rule cong :premises (@p3012 @p2998) :args ((= @t515 @t1370))) % 0.93/1.18 (step @p3014 :rule symm :premises (@p3013)) % 0.93/1.18 (step @p3015 :rule eq_resolve :premises (@p3012 @p3014)) % 0.93/1.18 (step @p3016 :rule ho_cong :premises (@p3001 @p3015)) % 0.93/1.18 (step @p3017 :rule ho_cong :premises (@p3016 @p3011)) % 0.93/1.18 (step @p3018 :rule trans :premises (@p3017 @p3007)) % 0.93/1.18 (step @p3019 :rule refl :args ((tptp.binintersect @t2 @t560))) % 0.93/1.18 (step @p3020 :rule refl :args (@t1372)) % 0.93/1.18 (step @p3021 :rule cong :premises (@p654 @p3020) :args (@t1373)) % 0.93/1.18 (step @p3022 :rule trans :premises (@p3021 @p3019)) % 0.93/1.18 (step @p3023 :rule refl :args (@t514)) % 0.93/1.18 (step @p3024 :rule ho_cong :premises (@p3023 @p3020)) % 0.93/1.18 (step @p3025 :rule cong :premises (@p3024 @p3022) :args ((= (_ @t514 @t1372) @t1373))) % 0.93/1.18 (step @p3026 :rule symm :premises (@p3025)) % 0.93/1.18 (step @p3027 :rule refl :args (@t561)) % 0.93/1.18 (step @p3028 :rule eq_resolve :premises (@p3027 @p3026)) % 0.93/1.18 (step @p3029 :rule refl :args (@t560)) % 0.93/1.18 (step @p3030 :rule cong :premises (@p3029 @p3020) :args ((= @t560 @t1372))) % 0.93/1.18 (step @p3031 :rule symm :premises (@p3030)) % 0.93/1.18 (step @p3032 :rule eq_resolve :premises (@p3029 @p3031)) % 0.93/1.18 (step @p3033 :rule ho_cong :premises (@p3023 @p3032)) % 0.93/1.18 (step @p3034 :rule trans :premises (@p3033 @p3028)) % 0.93/1.18 (step @p3035 :rule cong :premises (@p3034 @p3018) :args (@t562)) % 0.93/1.18 (step @p3036 :rule cong :premises (@p3035) :args (@t563)) % 0.93/1.18 (step @p3037 :rule refl :args (tptp.bs114d)) % 0.93/1.18 (step @p3038 :rule cong :premises (@p3037 @p3036) :args (@t564)) % 0.93/1.18 (step @p3039 :rule eq_resolve :premises (@p117 @p3038)) % 0.93/1.18 (step @p3040 :rule cong :premises (@p3039 @p2995) :args (@t2453)) % 0.93/1.18 (step @p3041 :rule cong :premises (@p654 @p3015) :args (@t2454)) % 0.93/1.18 (step @p3042 :rule cong :premises (@p3041) :args (@t2455)) % 0.93/1.18 (step @p3043 :rule nary_cong :premises (@p3042 @p2841) :args (@t2456)) % 0.93/1.18 (step @p3044 :rule cong :premises (@p3043) :args ((forall @t12 @t2456))) % 0.93/1.18 (step @p3045 :rule bool-impl-elim :args (@t2454 @t420)) % 0.93/1.18 (step @p3046 :rule cong :premises (@p3045) :args ((forall @t12 (=> @t2454 @t420)))) % 0.93/1.18 (step @p3047 :rule trans :premises (@p3046 @p3044)) % 0.93/1.18 (step @p3048 :rule eq-symm :args (@t515 @t2)) % 0.93/1.18 (step @p3049 :rule cong :premises (@p3048 @p2854) :args (@t555)) % 0.93/1.18 (step @p3050 :rule cong :premises (@p3049) :args (@t556)) % 0.93/1.18 (step @p3051 :rule trans :premises (@p3050 @p3047)) % 0.93/1.18 (step @p3052 :rule refl :args (tptp.binintersectSubset1)) % 0.93/1.18 (step @p3053 :rule cong :premises (@p3052 @p3051) :args (@t557)) % 0.93/1.18 (step @p3054 :rule eq_resolve :premises (@p116 @p3053)) % 0.93/1.18 (step @p3055 :rule cong :premises (@p3054 @p3040) :args (@t2457)) % 0.93/1.18 (step @p3056 :rule cong :premises (@p653 @p3015) :args (@t2458)) % 0.93/1.18 (step @p3057 :rule refl :args (@t1378)) % 0.93/1.18 (step @p3058 :rule refl :args (@t425)) % 0.93/1.18 (step @p3059 :rule cong :premises (@p3058 @p3057) :args ((= @t425 @t1378))) % 0.93/1.18 (step @p3060 :rule symm :premises (@p3059)) % 0.93/1.18 (step @p3061 :rule eq_resolve :premises (@p3058 @p3060)) % 0.93/1.18 (step @p3062 :rule cong :premises (@p3061) :args (@t2459)) % 0.93/1.18 (step @p3063 :rule nary_cong :premises (@p3062 @p3056) :args (@t2460)) % 0.93/1.18 (step @p3064 :rule cong :premises (@p3063) :args ((forall @t12 @t2460))) % 0.93/1.18 (step @p3065 :rule bool-impl-elim :args (@t425 @t2458)) % 0.93/1.18 (step @p3066 :rule cong :premises (@p3065) :args ((forall @t12 (=> @t425 @t2458)))) % 0.93/1.18 (step @p3067 :rule trans :premises (@p3066 @p3064)) % 0.93/1.18 (step @p3068 :rule eq-symm :args (@t515 @t1)) % 0.93/1.18 (step @p3069 :rule refl :args (@t425)) % 0.93/1.18 (step @p3070 :rule cong :premises (@p3069 @p3068) :args (@t552)) % 0.93/1.18 (step @p3071 :rule cong :premises (@p3070) :args (@t553)) % 0.93/1.18 (step @p3072 :rule trans :premises (@p3071 @p3067)) % 0.93/1.18 (step @p3073 :rule refl :args (tptp.binintersectSubset4)) % 0.93/1.18 (step @p3074 :rule cong :premises (@p3073 @p3072) :args (@t554)) % 0.93/1.18 (step @p3075 :rule eq_resolve :premises (@p115 @p3074)) % 0.93/1.18 (step @p3076 :rule cong :premises (@p3075 @p3055) :args (@t2461)) % 0.93/1.18 (step @p3077 :rule refl :args ((tptp.subset @t515 @t1))) % 0.93/1.18 (step @p3078 :rule cong :premises (@p2998 @p653) :args (@t1381)) % 0.93/1.18 (step @p3079 :rule trans :premises (@p3078 @p3077)) % 0.93/1.18 (step @p3080 :rule ho_cong :premises (@p790 @p2998)) % 0.93/1.18 (step @p3081 :rule ho_cong :premises (@p3080 @p653)) % 0.93/1.18 (step @p3082 :rule cong :premises (@p3081 @p3079) :args ((= (_ @t2462 @t1) @t1381))) % 0.93/1.18 (step @p3083 :rule symm :premises (@p3082)) % 0.93/1.18 (step @p3084 :rule refl :args (@t549)) % 0.93/1.18 (step @p3085 :rule eq_resolve :premises (@p3084 @p3083)) % 0.93/1.18 (step @p3086 :rule ho_cong :premises (@p790 @p3015)) % 0.93/1.18 (step @p3087 :rule ho_cong :premises (@p3086 @p653)) % 0.93/1.18 (step @p3088 :rule trans :premises (@p3087 @p3085)) % 0.93/1.18 (step @p3089 :rule cong :premises (@p3088) :args (@t550)) % 0.93/1.18 (step @p3090 :rule refl :args (tptp.binintersectRsub)) % 0.93/1.18 (step @p3091 :rule cong :premises (@p3090 @p3089) :args (@t551)) % 0.93/1.18 (step @p3092 :rule eq_resolve :premises (@p114 @p3091)) % 0.93/1.18 (step @p3093 :rule cong :premises (@p3092 @p3076) :args (@t2463)) % 0.93/1.18 (step @p3094 :rule cong :premises (@p251 @p3015) :args (@t2464)) % 0.93/1.18 (step @p3095 :rule refl :args (@t1384)) % 0.93/1.18 (step @p3096 :rule nary_cong :premises (@p3095 @p3094) :args (@t2465)) % 0.93/1.18 (step @p3097 :rule cong :premises (@p3096) :args ((forall @t12 @t2465))) % 0.93/1.18 (step @p3098 :rule bool-impl-elim :args (@t1383 @t2464)) % 0.93/1.18 (step @p3099 :rule cong :premises (@p3098) :args ((forall @t12 (=> @t1383 @t2464)))) % 0.93/1.18 (step @p3100 :rule trans :premises (@p3099 @p3097)) % 0.93/1.18 (step @p3101 :rule eq-symm :args (@t515 tptp.emptyset)) % 0.93/1.18 (step @p3102 :rule bool-double-not-elim :args (@t1383)) % 0.93/1.18 (step @p3103 :rule nary_cong :premises (@p747 @p2715) :args (@t2466)) % 0.93/1.18 (step @p3104 :rule cong :premises (@p3103) :args ((forall @t9 @t2466))) % 0.93/1.18 (step @p3105 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.93/1.18 (step @p3106 :rule cong :premises (@p3105) :args (@t2467)) % 0.93/1.18 (step @p3107 :rule trans :premises (@p3106 @p3104)) % 0.93/1.18 (step @p3108 :rule cong :premises (@p3107) :args (@t2468)) % 0.93/1.18 (step @p3109 :rule exists-elim :args ((= @t544 @t2468))) % 0.93/1.18 (step @p3110 :rule trans :premises (@p3109 @p3108)) % 0.93/1.18 (step @p3111 :rule cong :premises (@p3110) :args (@t545)) % 0.93/1.18 (step @p3112 :rule trans :premises (@p3111 @p3102)) % 0.93/1.18 (step @p3113 :rule cong :premises (@p3112 @p3101) :args (@t546)) % 0.93/1.18 (step @p3114 :rule cong :premises (@p3113) :args (@t547)) % 0.93/1.18 (step @p3115 :rule trans :premises (@p3114 @p3100)) % 0.93/1.18 (step @p3116 :rule refl :args (tptp.disjointsetsI1)) % 0.93/1.18 (step @p3117 :rule cong :premises (@p3116 @p3115) :args (@t548)) % 0.93/1.18 (step @p3118 :rule eq_resolve :premises (@p113 @p3117)) % 0.93/1.18 (step @p3119 :rule cong :premises (@p3118 @p3093) :args (@t2469)) % 0.93/1.18 (step @p3120 :rule refl :args ((tptp.in @t4 @t515))) % 0.93/1.18 (step @p3121 :rule cong :premises (@p1006 @p2998) :args (@t1386)) % 0.93/1.18 (step @p3122 :rule trans :premises (@p3121 @p3120)) % 0.93/1.18 (step @p3123 :rule ho_cong :premises (@p2111 @p2998)) % 0.93/1.18 (step @p3124 :rule cong :premises (@p3123 @p3122) :args ((= (_ @t5 @t1370) @t1386))) % 0.93/1.18 (step @p3125 :rule symm :premises (@p3124)) % 0.93/1.18 (step @p3126 :rule refl :args (@t516)) % 0.93/1.18 (step @p3127 :rule eq_resolve :premises (@p3126 @p3125)) % 0.93/1.18 (step @p3128 :rule ho_cong :premises (@p2111 @p3015)) % 0.93/1.18 (step @p3129 :rule trans :premises (@p3128 @p3127)) % 0.93/1.18 (step @p3130 :rule cong :premises (@p3129) :args (@t2470)) % 0.93/1.18 (step @p3131 :rule nary_cong :premises (@p3130 @p2692) :args (@t2471)) % 0.93/1.18 (step @p3132 :rule cong :premises (@p3131) :args ((forall @t245 @t2471))) % 0.93/1.18 (step @p3133 :rule bool-impl-elim :args (@t516 @t6)) % 0.93/1.18 (step @p3134 :rule cong :premises (@p3133) :args (@t541)) % 0.93/1.18 (step @p3135 :rule trans :premises (@p3134 @p3132)) % 0.93/1.18 (step @p3136 :rule refl :args (tptp.binintersectER)) % 0.93/1.18 (step @p3137 :rule cong :premises (@p3136 @p3135) :args (@t542)) % 0.93/1.18 (step @p3138 :rule eq_resolve :premises (@p112 @p3137)) % 0.93/1.18 (step @p3139 :rule cong :premises (@p3138 @p3119) :args (@t2472)) % 0.93/1.18 (step @p3140 :rule cong :premises (@p3056) :args (@t2473)) % 0.93/1.18 (step @p3141 :rule nary_cong :premises (@p3140 @p3061) :args (@t2474)) % 0.93/1.18 (step @p3142 :rule cong :premises (@p3141) :args ((forall @t12 @t2474))) % 0.93/1.18 (step @p3143 :rule bool-impl-elim :args (@t2458 @t425)) % 0.93/1.18 (step @p3144 :rule cong :premises (@p3143) :args ((forall @t12 (=> @t2458 @t425)))) % 0.93/1.18 (step @p3145 :rule trans :premises (@p3144 @p3142)) % 0.93/1.18 (step @p3146 :rule cong :premises (@p3068 @p3069) :args (@t538)) % 0.93/1.18 (step @p3147 :rule cong :premises (@p3146) :args (@t539)) % 0.93/1.18 (step @p3148 :rule trans :premises (@p3147 @p3145)) % 0.93/1.18 (step @p3149 :rule refl :args (tptp.binintersectSubset3)) % 0.93/1.18 (step @p3150 :rule cong :premises (@p3149 @p3148) :args (@t540)) % 0.93/1.18 (step @p3151 :rule eq_resolve :premises (@p111 @p3150)) % 0.93/1.18 (step @p3152 :rule cong :premises (@p3151 @p3139) :args (@t2475)) % 0.93/1.18 (step @p3153 :rule nary_cong :premises (@p2949 @p3041) :args (@t2476)) % 0.93/1.18 (step @p3154 :rule cong :premises (@p3153) :args ((forall @t12 @t2476))) % 0.93/1.18 (step @p3155 :rule bool-impl-elim :args (@t420 @t2454)) % 0.93/1.18 (step @p3156 :rule cong :premises (@p3155) :args ((forall @t12 (=> @t420 @t2454)))) % 0.93/1.18 (step @p3157 :rule trans :premises (@p3156 @p3154)) % 0.93/1.18 (step @p3158 :rule cong :premises (@p2854 @p3048) :args (@t534)) % 0.93/1.18 (step @p3159 :rule cong :premises (@p3158) :args (@t535)) % 0.93/1.18 (step @p3160 :rule trans :premises (@p3159 @p3157)) % 0.93/1.18 (step @p3161 :rule refl :args (tptp.binintersectSubset2)) % 0.93/1.18 (step @p3162 :rule cong :premises (@p3161 @p3160) :args (@t536)) % 0.93/1.18 (step @p3163 :rule eq_resolve :premises (@p110 @p3162)) % 0.93/1.18 (step @p3164 :rule cong :premises (@p3163 @p3152) :args (@t2477)) % 0.93/1.18 (step @p3165 :rule refl :args ((tptp.subset @t515 @t2))) % 0.93/1.18 (step @p3166 :rule cong :premises (@p2998 @p654) :args (@t1391)) % 0.93/1.18 (step @p3167 :rule trans :premises (@p3166 @p3165)) % 0.93/1.18 (step @p3168 :rule ho_cong :premises (@p3080 @p654)) % 0.93/1.18 (step @p3169 :rule cong :premises (@p3168 @p3167) :args ((= (_ @t2462 @t2) @t1391))) % 0.93/1.18 (step @p3170 :rule symm :premises (@p3169)) % 0.93/1.18 (step @p3171 :rule refl :args (@t530)) % 0.93/1.18 (step @p3172 :rule eq_resolve :premises (@p3171 @p3170)) % 0.93/1.18 (step @p3173 :rule ho_cong :premises (@p3086 @p654)) % 0.93/1.18 (step @p3174 :rule trans :premises (@p3173 @p3172)) % 0.93/1.18 (step @p3175 :rule cong :premises (@p3174) :args (@t531)) % 0.93/1.18 (step @p3176 :rule refl :args (tptp.binintersectLsub)) % 0.93/1.18 (step @p3177 :rule cong :premises (@p3176 @p3175) :args (@t532)) % 0.93/1.18 (step @p3178 :rule eq_resolve :premises (@p109 @p3177)) % 0.93/1.18 (step @p3179 :rule cong :premises (@p3178 @p3164) :args (@t2478)) % 0.93/1.18 (step @p3180 :rule nary_cong :premises (@p3130 @p723) :args (@t2479)) % 0.93/1.18 (step @p3181 :rule cong :premises (@p3180) :args ((forall @t245 @t2479))) % 0.93/1.18 (step @p3182 :rule bool-impl-elim :args (@t516 @t7)) % 0.93/1.18 (step @p3183 :rule cong :premises (@p3182) :args (@t527)) % 0.93/1.18 (step @p3184 :rule trans :premises (@p3183 @p3181)) % 0.93/1.18 (step @p3185 :rule refl :args (tptp.binintersectEL)) % 0.93/1.18 (step @p3186 :rule cong :premises (@p3185 @p3184) :args (@t528)) % 0.93/1.18 (step @p3187 :rule eq_resolve :premises (@p108 @p3186)) % 0.93/1.18 (step @p3188 :rule cong :premises (@p3187 @p3179) :args (@t2480)) % 0.93/1.18 (step @p3189 :rule refl :args ((tptp.subset @t104 @t515))) % 0.93/1.18 (step @p3190 :rule refl :args (@t104)) % 0.93/1.18 (step @p3191 :rule cong :premises (@p3190 @p2998) :args (@t1394)) % 0.93/1.18 (step @p3192 :rule trans :premises (@p3191 @p3189)) % 0.93/1.18 (step @p3193 :rule refl :args (@t520)) % 0.93/1.18 (step @p3194 :rule ho_cong :premises (@p3193 @p2998)) % 0.93/1.18 (step @p3195 :rule cong :premises (@p3194 @p3192) :args ((= (_ @t520 @t1370) @t1394))) % 0.93/1.18 (step @p3196 :rule symm :premises (@p3195)) % 0.93/1.18 (step @p3197 :rule refl :args (@t521)) % 0.93/1.18 (step @p3198 :rule eq_resolve :premises (@p3197 @p3196)) % 0.93/1.18 (step @p3199 :rule ho_cong :premises (@p3193 @p3015)) % 0.93/1.18 (step @p3200 :rule trans :premises (@p3199 @p3198)) % 0.93/1.18 (step @p3201 :rule refl :args (@t1395)) % 0.93/1.18 (step @p3202 :rule refl :args (@t522)) % 0.93/1.18 (step @p3203 :rule cong :premises (@p3202 @p3201) :args ((= @t522 @t1395))) % 0.93/1.18 (step @p3204 :rule symm :premises (@p3203)) % 0.93/1.18 (step @p3205 :rule eq_resolve :premises (@p3202 @p3204)) % 0.93/1.18 (step @p3206 :rule cong :premises (@p3205) :args (@t2481)) % 0.93/1.18 (step @p3207 :rule refl :args (@t1396)) % 0.93/1.18 (step @p3208 :rule refl :args (@t524)) % 0.93/1.18 (step @p3209 :rule cong :premises (@p3208 @p3207) :args ((= @t524 @t1396))) % 0.93/1.18 (step @p3210 :rule symm :premises (@p3209)) % 0.93/1.18 (step @p3211 :rule eq_resolve :premises (@p3208 @p3210)) % 0.93/1.18 (step @p3212 :rule cong :premises (@p3211) :args (@t2482)) % 0.93/1.18 (step @p3213 :rule nary_cong :premises (@p3212 @p3206 @p3200) :args (@t2483)) % 0.93/1.18 (step @p3214 :rule cong :premises (@p3213) :args ((forall @t455 @t2483))) % 0.93/1.18 (step @p3215 :rule aci_norm :args ((= (or @t2482 (or @t2481 @t521)) @t2483))) % 0.93/1.18 (step @p3216 :rule bool-impl-elim :args (@t522 @t521)) % 0.93/1.18 (step @p3217 :rule refl :args (@t2482)) % 0.93/1.18 (step @p3218 :rule nary_cong :premises (@p3217 @p3216) :args ((or @t2482 @t523))) % 0.93/1.18 (step @p3219 :rule trans :premises (@p3218 @p3215)) % 0.93/1.18 (step @p3220 :rule bool-impl-elim :args (@t524 @t523)) % 0.93/1.18 (step @p3221 :rule trans :premises (@p3220 @p3219)) % 0.93/1.18 (step @p3222 :rule cong :premises (@p3221) :args (@t525)) % 0.93/1.18 (step @p3223 :rule trans :premises (@p3222 @p3214)) % 0.93/1.18 (step @p3224 :rule refl :args (tptp.binintersectSubset5)) % 0.93/1.18 (step @p3225 :rule cong :premises (@p3224 @p3223) :args (@t526)) % 0.93/1.18 (step @p3226 :rule eq_resolve :premises (@p107 @p3225)) % 0.93/1.18 (step @p3227 :rule cong :premises (@p3226 @p3188) :args (@t2484)) % 0.93/1.18 (step @p3228 :rule nary_cong :premises (@p747 @p2715 @p3129) :args (@t2485)) % 0.93/1.18 (step @p3229 :rule cong :premises (@p3228) :args ((forall @t245 @t2485))) % 0.93/1.18 (step @p3230 :rule aci_norm :args ((= (or @t197 (or @t435 @t516)) @t2485))) % 0.93/1.18 (step @p3231 :rule bool-impl-elim :args (@t6 @t516)) % 0.93/1.18 (step @p3232 :rule nary_cong :premises (@p1909 @p3231) :args ((or @t197 @t517))) % 0.93/1.18 (step @p3233 :rule trans :premises (@p3232 @p3230)) % 0.93/1.18 (step @p3234 :rule bool-impl-elim :args (@t7 @t517)) % 0.93/1.18 (step @p3235 :rule trans :premises (@p3234 @p3233)) % 0.93/1.18 (step @p3236 :rule cong :premises (@p3235) :args (@t518)) % 0.93/1.18 (step @p3237 :rule trans :premises (@p3236 @p3229)) % 0.93/1.18 (step @p3238 :rule refl :args (tptp.binintersectI)) % 0.93/1.18 (step @p3239 :rule cong :premises (@p3238 @p3237) :args (@t519)) % 0.93/1.18 (step @p3240 :rule eq_resolve :premises (@p106 @p3239)) % 0.93/1.18 (step @p3241 :rule cong :premises (@p3240 @p3227) :args (@t2486)) % 0.93/1.18 (step @p3242 :rule refl :args ((tptp.subset @t1 @t492))) % 0.93/1.18 (step @p3243 :rule cong :premises (@p653 @p2267) :args (@t1399)) % 0.93/1.18 (step @p3244 :rule trans :premises (@p3243 @p3242)) % 0.93/1.18 (step @p3245 :rule refl :args (@t424)) % 0.93/1.18 (step @p3246 :rule ho_cong :premises (@p3245 @p2267)) % 0.93/1.18 (step @p3247 :rule cong :premises (@p3246 @p3244) :args ((= (_ @t424 @t1286) @t1399))) % 0.93/1.18 (step @p3248 :rule symm :premises (@p3247)) % 0.93/1.18 (step @p3249 :rule refl :args (@t511)) % 0.93/1.18 (step @p3250 :rule eq_resolve :premises (@p3249 @p3248)) % 0.93/1.18 (step @p3251 :rule ho_cong :premises (@p3245 @p2293)) % 0.93/1.18 (step @p3252 :rule trans :premises (@p3251 @p3250)) % 0.93/1.18 (step @p3253 :rule cong :premises (@p3252) :args (@t512)) % 0.93/1.18 (step @p3254 :rule refl :args (tptp.binunionRsub)) % 0.93/1.18 (step @p3255 :rule cong :premises (@p3254 @p3253) :args (@t513)) % 0.93/1.18 (step @p3256 :rule eq_resolve :premises (@p105 @p3255)) % 0.93/1.18 (step @p3257 :rule cong :premises (@p3256 @p3241) :args (@t2487)) % 0.93/1.18 (step @p3258 :rule refl :args ((tptp.subset @t2 @t492))) % 0.93/1.18 (step @p3259 :rule cong :premises (@p654 @p2267) :args (@t1401)) % 0.93/1.18 (step @p3260 :rule trans :premises (@p3259 @p3258)) % 0.93/1.18 (step @p3261 :rule ho_cong :premises (@p2065 @p2267)) % 0.93/1.18 (step @p3262 :rule cong :premises (@p3261 @p3260) :args ((= (_ @t419 @t1286) @t1401))) % 0.93/1.18 (step @p3263 :rule symm :premises (@p3262)) % 0.93/1.18 (step @p3264 :rule refl :args (@t508)) % 0.93/1.18 (step @p3265 :rule eq_resolve :premises (@p3264 @p3263)) % 0.93/1.18 (step @p3266 :rule ho_cong :premises (@p2065 @p2293)) % 0.93/1.18 (step @p3267 :rule trans :premises (@p3266 @p3265)) % 0.93/1.18 (step @p3268 :rule cong :premises (@p3267) :args (@t509)) % 0.93/1.18 (step @p3269 :rule refl :args (tptp.binunionLsub)) % 0.93/1.18 (step @p3270 :rule cong :premises (@p3269 @p3268) :args (@t510)) % 0.93/1.18 (step @p3271 :rule eq_resolve :premises (@p104 @p3270)) % 0.93/1.18 (step @p3272 :rule cong :premises (@p3271 @p3257) :args (@t2488)) % 0.93/1.18 (step @p3273 :rule refl :args ((tptp.in @t4 @t492))) % 0.93/1.18 (step @p3274 :rule cong :premises (@p1006 @p2267) :args (@t1403)) % 0.93/1.18 (step @p3275 :rule trans :premises (@p3274 @p3273)) % 0.93/1.18 (step @p3276 :rule ho_cong :premises (@p2111 @p2267)) % 0.93/1.18 (step @p3277 :rule cong :premises (@p3276 @p3275) :args ((= (_ @t5 @t1286) @t1403))) % 0.93/1.18 (step @p3278 :rule symm :premises (@p3277)) % 0.93/1.18 (step @p3279 :rule refl :args (@t493)) % 0.93/1.18 (step @p3280 :rule eq_resolve :premises (@p3279 @p3278)) % 0.93/1.18 (step @p3281 :rule ho_cong :premises (@p2111 @p2293)) % 0.93/1.18 (step @p3282 :rule trans :premises (@p3281 @p3280)) % 0.93/1.18 (step @p3283 :rule cong :premises (@p3282) :args (@t2489)) % 0.93/1.18 (step @p3284 :rule nary_cong :premises (@p3283 @p723 @p2692) :args (@t2490)) % 0.93/1.18 (step @p3285 :rule cong :premises (@p3284) :args ((forall @t245 @t2490))) % 0.93/1.18 (step @p3286 :rule aci_norm :args ((= (or @t2489 @t505) @t2490))) % 0.93/1.18 (step @p3287 :rule bool-impl-elim :args (@t493 @t505)) % 0.93/1.18 (step @p3288 :rule trans :premises (@p3287 @p3286)) % 0.93/1.18 (step @p3289 :rule cong :premises (@p3288) :args (@t506)) % 0.93/1.18 (step @p3290 :rule trans :premises (@p3289 @p3285)) % 0.93/1.18 (step @p3291 :rule refl :args (tptp.binunionE)) % 0.93/1.18 (step @p3292 :rule cong :premises (@p3291 @p3290) :args (@t507)) % 0.93/1.18 (step @p3293 :rule eq_resolve :premises (@p103 @p3292)) % 0.93/1.18 (step @p3294 :rule cong :premises (@p3293 @p3272) :args (@t2491)) % 0.93/1.18 (step @p3295 :rule aci_norm :args ((= (and @t1343 true) @t1343))) % 0.93/1.18 (step @p3296 :rule nary_cong :premises (@p2774 @p2773) :args (@t2492)) % 0.93/1.18 (step @p3297 :rule trans :premises (@p3296 @p3295)) % 0.93/1.18 (step @p3298 :rule aci_norm :args ((= (and @t1101 true) @t1101))) % 0.93/1.18 (step @p3299 :rule nary_cong :premises (@p716 @p2773) :args (@t2493)) % 0.93/1.18 (step @p3300 :rule trans :premises (@p3299 @p3298)) % 0.93/1.18 (step @p3301 :rule refl :args (@t1404)) % 0.93/1.18 (step @p3302 :rule nary_cong :premises (@p3301 @p3300 @p3297) :args (@t2494)) % 0.93/1.18 (step @p3303 :rule aci_norm :args ((= @t2495 @t2494))) % 0.93/1.18 (step @p3304 :rule trans :premises (@p3303 @p3302)) % 0.93/1.18 (step @p3305 :rule cong :premises (@p3304) :args ((forall @t245 @t2495))) % 0.93/1.18 (step @p3306 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2420 @t1404 @t2497 @t2496 @t173)) @t2495))) % 0.93/1.18 (step @p3307 :rule refl :args (@t2496)) % 0.93/1.18 (step @p3308 :rule refl :args (@t2497)) % 0.93/1.18 (step @p3309 :rule refl :args (@t1404)) % 0.93/1.18 (step @p3310 :rule nary_cong :premises (@p2794 @p3309 @p3308 @p3307 @p2786) :args (@t2498)) % 0.93/1.18 (step @p3311 :rule aci_norm :args ((= @t2499 @t2498))) % 0.93/1.18 (step @p3312 :rule trans :premises (@p3311 @p3310)) % 0.93/1.18 (step @p3313 :rule cong :premises (@p3312) :args (@t2500)) % 0.93/1.18 (step @p3314 :rule trans :premises (@p3313 @p3306)) % 0.93/1.18 (step @p3315 :rule cong :premises (@p3314) :args (@t2501)) % 0.93/1.18 (step @p3316 :rule quant-merge-prenex :args ((= @t2501 (forall @t502 @t2499)))) % 0.93/1.18 (step @p3317 :rule symm :premises (@p3316)) % 0.93/1.18 (step @p3318 :rule trans :premises (@p3317 @p3315)) % 0.93/1.18 (step @p3319 :rule trans :premises (@p3318 @p3305)) % 0.93/1.18 (step @p3320 :rule nary_cong :premises (@p2692 @p2801) :args (@t2426)) % 0.93/1.18 (step @p3321 :rule nary_cong :premises (@p723 @p2801) :args (@t2502)) % 0.93/1.18 (step @p3322 :rule nary_cong :premises (@p3283 @p3321 @p3320 @p2786) :args (@t2503)) % 0.93/1.18 (step @p3323 :rule cong :premises (@p3322) :args ((forall @t502 @t2503))) % 0.93/1.18 (step @p3324 :rule trans :premises (@p3323 @p3319)) % 0.93/1.18 (step @p3325 :rule aci_norm :args ((= (or @t2489 @t2504) @t2503))) % 0.93/1.18 (step @p3326 :rule aci_norm :args ((= (or @t2502 (or @t2426 @t173)) @t2504))) % 0.93/1.18 (step @p3327 :rule nary_cong :premises (@p2809 @p2786) :args ((or @t2427 @t173))) % 0.93/1.18 (step @p3328 :rule bool-impl-elim :args (@t498 @t173)) % 0.93/1.18 (step @p3329 :rule trans :premises (@p3328 @p3327)) % 0.93/1.18 (step @p3330 :rule bool-implies-de-morgan :args (@t7 @t173)) % 0.93/1.18 (step @p3331 :rule nary_cong :premises (@p3330 @p3329) :args ((or (not @t500) @t499))) % 0.93/1.18 (step @p3332 :rule trans :premises (@p3331 @p3326)) % 0.93/1.18 (step @p3333 :rule bool-impl-elim :args (@t500 @t499)) % 0.93/1.18 (step @p3334 :rule trans :premises (@p3333 @p3332)) % 0.93/1.18 (step @p3335 :rule refl :args (@t2489)) % 0.93/1.18 (step @p3336 :rule nary_cong :premises (@p3335 @p3334) :args ((or @t2489 @t501))) % 0.93/1.18 (step @p3337 :rule trans :premises (@p3336 @p3325)) % 0.93/1.18 (step @p3338 :rule bool-impl-elim :args (@t493 @t501)) % 0.93/1.18 (step @p3339 :rule trans :premises (@p3338 @p3337)) % 0.93/1.18 (step @p3340 :rule cong :premises (@p3339) :args (@t503)) % 0.93/1.18 (step @p3341 :rule trans :premises (@p3340 @p3324)) % 0.93/1.18 (step @p3342 :rule refl :args (tptp.binunionEcases)) % 0.93/1.18 (step @p3343 :rule cong :premises (@p3342 @p3341) :args (@t504)) % 0.93/1.18 (step @p3344 :rule eq_resolve :premises (@p102 @p3343)) % 0.93/1.18 (step @p3345 :rule cong :premises (@p3344 @p3294) :args (@t2505)) % 0.93/1.18 (step @p3346 :rule nary_cong :premises (@p2715 @p3282) :args (@t2506)) % 0.93/1.18 (step @p3347 :rule cong :premises (@p3346) :args ((forall @t245 @t2506))) % 0.93/1.18 (step @p3348 :rule bool-impl-elim :args (@t6 @t493)) % 0.93/1.18 (step @p3349 :rule cong :premises (@p3348) :args (@t496)) % 0.93/1.18 (step @p3350 :rule trans :premises (@p3349 @p3347)) % 0.93/1.18 (step @p3351 :rule refl :args (tptp.binunionIR)) % 0.93/1.18 (step @p3352 :rule cong :premises (@p3351 @p3350) :args (@t497)) % 0.93/1.18 (step @p3353 :rule eq_resolve :premises (@p101 @p3352)) % 0.93/1.18 (step @p3354 :rule cong :premises (@p3353 @p3345) :args (@t2507)) % 0.93/1.18 (step @p3355 :rule eq-symm :args (@t1339 tptp.upairset2IR)) % 0.93/1.18 (step @p3356 :rule refl :args (tptp.upairset2IR)) % 0.93/1.18 (step @p3357 :rule cong :premises (@p2665 @p3356) :args ((= @t302 tptp.upairset2IR))) % 0.93/1.18 (step @p3358 :rule trans :premises (@p3357 @p3355)) % 0.93/1.18 (step @p3359 :rule eq-symm :args (tptp.upairset2IR @t302)) % 0.93/1.18 (step @p3360 :rule trans :premises (@p3359 @p3358)) % 0.93/1.18 (step @p3361 :rule eq_resolve :premises (@p100 @p3360)) % 0.93/1.18 (step @p3362 :rule cong :premises (@p3361 @p3354) :args (@t2508)) % 0.93/1.18 (step @p3363 :rule nary_cong :premises (@p747 @p3282) :args (@t2509)) % 0.93/1.18 (step @p3364 :rule cong :premises (@p3363) :args ((forall @t245 @t2509))) % 0.93/1.18 (step @p3365 :rule bool-impl-elim :args (@t7 @t493)) % 0.93/1.18 (step @p3366 :rule cong :premises (@p3365) :args (@t494)) % 0.93/1.18 (step @p3367 :rule trans :premises (@p3366 @p3364)) % 0.93/1.18 (step @p3368 :rule refl :args (tptp.binunionIL)) % 0.93/1.18 (step @p3369 :rule cong :premises (@p3368 @p3367) :args (@t495)) % 0.93/1.18 (step @p3370 :rule eq_resolve :premises (@p99 @p3369)) % 0.93/1.18 (step @p3371 :rule cong :premises (@p3370 @p3362) :args (@t2510)) % 0.93/1.18 (step @p3372 :rule lambda-elim :args ((= @t2511 @t143))) % 0.93/1.18 (step @p3373 :rule cong :premises (@p637 @p3372) :args (@t2512)) % 0.93/1.18 (step @p3374 :rule cong :premises (@p3373 @p637) :args (@t2513)) % 0.93/1.18 (step @p3375 :rule cong :premises (@p3374) :args ((forall @t309 @t2513))) % 0.93/1.18 (step @p3376 :rule refl :args ((tptp.subset @t304 @t2))) % 0.93/1.18 (step @p3377 :rule refl :args (@t2165)) % 0.93/1.18 (step @p3378 :rule cong :premises (@p1751) :args (@t2511)) % 0.93/1.18 (step @p3379 :rule cong :premises (@p654 @p3378) :args (@t2512)) % 0.93/1.18 (step @p3380 :rule trans :premises (@p3379 @p3377)) % 0.93/1.18 (step @p3381 :rule cong :premises (@p3380 @p654) :args (@t2513)) % 0.93/1.18 (step @p3382 :rule trans :premises (@p3381 @p3376)) % 0.93/1.18 (step @p3383 :rule ho_cong :premises (@p790 @p3380)) % 0.93/1.18 (step @p3384 :rule ho_cong :premises (@p3383 @p654)) % 0.93/1.18 (step @p3385 :rule cong :premises (@p3384 @p3382) :args ((= (_ (_ tptp.subset @t2512) @t2) @t2513))) % 0.93/1.18 (step @p3386 :rule symm :premises (@p3385)) % 0.93/1.18 (step @p3387 :rule refl :args (@t489)) % 0.93/1.18 (step @p3388 :rule eq_resolve :premises (@p3387 @p3386)) % 0.93/1.18 (step @p3389 :rule ho_cong :premises (@p1844 @p3378)) % 0.93/1.18 (step @p3390 :rule cong :premises (@p3389 @p3380) :args ((= (_ @t155 @t2511) @t2512))) % 0.93/1.18 (step @p3391 :rule symm :premises (@p3390)) % 0.93/1.18 (step @p3392 :rule refl :args (@t304)) % 0.93/1.18 (step @p3393 :rule eq_resolve :premises (@p3392 @p3391)) % 0.93/1.18 (step @p3394 :rule cong :premises (@p1755) :args (@t145)) % 0.93/1.18 (step @p3395 :rule ho_cong :premises (@p1844 @p3394)) % 0.93/1.18 (step @p3396 :rule trans :premises (@p3395 @p3393)) % 0.93/1.18 (step @p3397 :rule ho_cong :premises (@p790 @p3396)) % 0.93/1.18 (step @p3398 :rule ho_cong :premises (@p3397 @p654)) % 0.93/1.18 (step @p3399 :rule trans :premises (@p3398 @p3388)) % 0.93/1.18 (step @p3400 :rule cong :premises (@p3399) :args (@t490)) % 0.93/1.18 (step @p3401 :rule trans :premises (@p3400 @p3375)) % 0.93/1.18 (step @p3402 :rule refl :args (tptp.sepSubset)) % 0.93/1.18 (step @p3403 :rule cong :premises (@p3402 @p3401) :args (@t491)) % 0.93/1.18 (step @p3404 :rule eq_resolve :premises (@p98 @p3403)) % 0.93/1.18 (step @p3405 :rule cong :premises (@p3404 @p3371) :args (@t2514)) % 0.93/1.18 (step @p3406 :rule refl :args (@t1324)) % 0.93/1.18 (step @p3407 :rule cong :premises (@p3373 @p3406) :args (@t2515)) % 0.93/1.18 (step @p3408 :rule cong :premises (@p3407) :args ((forall @t309 @t2515))) % 0.93/1.18 (step @p3409 :rule refl :args ((tptp.in @t304 @t33))) % 0.93/1.18 (step @p3410 :rule cong :premises (@p3380 @p2537) :args (@t2515)) % 0.93/1.18 (step @p3411 :rule trans :premises (@p3410 @p3409)) % 0.93/1.18 (step @p3412 :rule ho_cong :premises (@p660 @p3380)) % 0.93/1.18 (step @p3413 :rule ho_cong :premises (@p3412 @p2537)) % 0.93/1.18 (step @p3414 :rule cong :premises (@p3413 @p3411) :args ((= (_ (_ tptp.in @t2512) @t1324) @t2515))) % 0.93/1.18 (step @p3415 :rule symm :premises (@p3414)) % 0.93/1.18 (step @p3416 :rule refl :args (@t486)) % 0.93/1.18 (step @p3417 :rule eq_resolve :premises (@p3416 @p3415)) % 0.93/1.18 (step @p3418 :rule ho_cong :premises (@p660 @p3396)) % 0.93/1.18 (step @p3419 :rule ho_cong :premises (@p3418 @p2548)) % 0.93/1.18 (step @p3420 :rule trans :premises (@p3419 @p3417)) % 0.93/1.18 (step @p3421 :rule cong :premises (@p3420) :args (@t487)) % 0.93/1.18 (step @p3422 :rule trans :premises (@p3421 @p3408)) % 0.93/1.18 (step @p3423 :rule refl :args (tptp.sepInPowerset)) % 0.93/1.18 (step @p3424 :rule cong :premises (@p3423 @p3422) :args (@t488)) % 0.93/1.18 (step @p3425 :rule eq_resolve :premises (@p97 @p3424)) % 0.93/1.18 (step @p3426 :rule cong :premises (@p3425 @p3405) :args (@t2516)) % 0.93/1.18 (step @p3427 :rule refl :args ((tptp.subset @t33 @t391))) % 0.93/1.18 (step @p3428 :rule refl :args (@t1410)) % 0.93/1.18 (step @p3429 :rule cong :premises (@p2537 @p3428) :args (@t1411)) % 0.93/1.18 (step @p3430 :rule trans :premises (@p3429 @p3427)) % 0.93/1.18 (step @p3431 :rule ho_cong :premises (@p790 @p2537)) % 0.93/1.18 (step @p3432 :rule ho_cong :premises (@p3431 @p3428)) % 0.93/1.18 (step @p3433 :rule cong :premises (@p3432 @p3430) :args ((= (_ (_ tptp.subset @t1324) @t1410) @t1411))) % 0.93/1.18 (step @p3434 :rule symm :premises (@p3433)) % 0.93/1.18 (step @p3435 :rule refl :args (@t483)) % 0.93/1.18 (step @p3436 :rule eq_resolve :premises (@p3435 @p3434)) % 0.93/1.18 (step @p3437 :rule refl :args (@t391)) % 0.93/1.18 (step @p3438 :rule cong :premises (@p3437 @p3428) :args ((= @t391 @t1410))) % 0.93/1.18 (step @p3439 :rule symm :premises (@p3438)) % 0.93/1.18 (step @p3440 :rule eq_resolve :premises (@p3437 @p3439)) % 0.93/1.18 (step @p3441 :rule ho_cong :premises (@p790 @p2548)) % 0.93/1.18 (step @p3442 :rule ho_cong :premises (@p3441 @p3440)) % 0.93/1.18 (step @p3443 :rule trans :premises (@p3442 @p3436)) % 0.93/1.18 (step @p3444 :rule nary_cong :premises (@p2949 @p3443) :args (@t2517)) % 0.93/1.18 (step @p3445 :rule cong :premises (@p3444) :args ((forall @t12 @t2517))) % 0.93/1.18 (step @p3446 :rule bool-impl-elim :args (@t420 @t483)) % 0.93/1.18 (step @p3447 :rule cong :premises (@p3446) :args (@t484)) % 0.93/1.18 (step @p3448 :rule trans :premises (@p3447 @p3445)) % 0.93/1.18 (step @p3449 :rule refl :args (tptp.powersetsubset)) % 0.93/1.18 (step @p3450 :rule cong :premises (@p3449 @p3448) :args (@t485)) % 0.93/1.18 (step @p3451 :rule eq_resolve :premises (@p96 @p3450)) % 0.93/1.18 (step @p3452 :rule cong :premises (@p3451 @p3426) :args (@t2518)) % 0.93/1.18 (step @p3453 :rule refl :args ((tptp.in @t2 @t33))) % 0.93/1.18 (step @p3454 :rule cong :premises (@p654 @p2537) :args (@t1413)) % 0.93/1.18 (step @p3455 :rule trans :premises (@p3454 @p3453)) % 0.93/1.18 (step @p3456 :rule refl :args (@t466)) % 0.93/1.18 (step @p3457 :rule ho_cong :premises (@p3456 @p2537)) % 0.93/1.18 (step @p3458 :rule cong :premises (@p3457 @p3455) :args ((= (_ @t466 @t1324) @t1413))) % 0.93/1.18 (step @p3459 :rule symm :premises (@p3458)) % 0.93/1.18 (step @p3460 :rule refl :args (@t480)) % 0.93/1.18 (step @p3461 :rule eq_resolve :premises (@p3460 @p3459)) % 0.93/1.18 (step @p3462 :rule ho_cong :premises (@p3456 @p2548)) % 0.93/1.18 (step @p3463 :rule trans :premises (@p3462 @p3461)) % 0.93/1.18 (step @p3464 :rule cong :premises (@p3463) :args (@t481)) % 0.93/1.18 (step @p3465 :rule refl :args (tptp.inPowerset)) % 0.93/1.18 (step @p3466 :rule cong :premises (@p3465 @p3464) :args (@t482)) % 0.93/1.18 (step @p3467 :rule eq_resolve :premises (@p95 @p3466)) % 0.93/1.18 (step @p3468 :rule cong :premises (@p3467 @p3452) :args (@t2519)) % 0.93/1.18 (step @p3469 :rule refl :args ((tptp.in @t1 @t33))) % 0.93/1.18 (step @p3470 :rule cong :premises (@p653 @p2537) :args (@t1415)) % 0.93/1.18 (step @p3471 :rule trans :premises (@p3470 @p3469)) % 0.93/1.18 (step @p3472 :rule refl :args (@t34)) % 0.93/1.18 (step @p3473 :rule ho_cong :premises (@p3472 @p2537)) % 0.93/1.18 (step @p3474 :rule cong :premises (@p3473 @p3471) :args ((= (_ @t34 @t1324) @t1415))) % 0.93/1.18 (step @p3475 :rule symm :premises (@p3474)) % 0.93/1.18 (step @p3476 :rule refl :args (@t35)) % 0.93/1.18 (step @p3477 :rule eq_resolve :premises (@p3476 @p3475)) % 0.93/1.18 (step @p3478 :rule ho_cong :premises (@p3472 @p2548)) % 0.93/1.18 (step @p3479 :rule trans :premises (@p3478 @p3477)) % 0.93/1.18 (step @p3480 :rule cong :premises (@p3479) :args (@t2520)) % 0.93/1.18 (step @p3481 :rule nary_cong :premises (@p3480 @p3061) :args (@t2521)) % 0.93/1.18 (step @p3482 :rule cong :premises (@p3481) :args ((forall @t12 @t2521))) % 0.93/1.18 (step @p3483 :rule bool-impl-elim :args (@t35 @t425)) % 0.93/1.18 (step @p3484 :rule cong :premises (@p3483) :args (@t478)) % 0.93/1.18 (step @p3485 :rule trans :premises (@p3484 @p3482)) % 0.93/1.18 (step @p3486 :rule refl :args (tptp.powersetE1)) % 0.93/1.18 (step @p3487 :rule cong :premises (@p3486 @p3485) :args (@t479)) % 0.93/1.18 (step @p3488 :rule eq_resolve :premises (@p94 @p3487)) % 0.93/1.18 (step @p3489 :rule cong :premises (@p3488 @p3468) :args (@t2522)) % 0.93/1.18 (step @p3490 :rule nary_cong :premises (@p3062 @p3479) :args (@t2523)) % 0.93/1.18 (step @p3491 :rule cong :premises (@p3490) :args ((forall @t12 @t2523))) % 0.93/1.18 (step @p3492 :rule bool-impl-elim :args (@t425 @t35)) % 0.93/1.18 (step @p3493 :rule cong :premises (@p3492) :args (@t476)) % 0.93/1.18 (step @p3494 :rule trans :premises (@p3493 @p3491)) % 0.93/1.18 (step @p3495 :rule refl :args (tptp.powersetI1)) % 0.93/1.18 (step @p3496 :rule cong :premises (@p3495 @p3494) :args (@t477)) % 0.93/1.18 (step @p3497 :rule eq_resolve :premises (@p93 @p3496)) % 0.93/1.18 (step @p3498 :rule cong :premises (@p3497 @p3489) :args (@t2524)) % 0.93/1.18 (step @p3499 :rule refl :args (@t196)) % 0.93/1.18 (step @p3500 :rule refl :args (@t1419)) % 0.93/1.18 (step @p3501 :rule refl :args (@t473)) % 0.93/1.18 (step @p3502 :rule cong :premises (@p3501 @p3500) :args ((= @t473 @t1419))) % 0.93/1.18 (step @p3503 :rule symm :premises (@p3502)) % 0.93/1.18 (step @p3504 :rule eq_resolve :premises (@p3501 @p3503)) % 0.93/1.18 (step @p3505 :rule cong :premises (@p3504) :args (@t2525)) % 0.93/1.18 (step @p3506 :rule nary_cong :premises (@p3505 @p3499) :args (@t2526)) % 0.93/1.18 (step @p3507 :rule cong :premises (@p3506) :args ((forall @t64 @t2526))) % 0.93/1.18 (step @p3508 :rule bool-impl-elim :args (@t473 @t196)) % 0.93/1.18 (step @p3509 :rule cong :premises (@p3508) :args (@t474)) % 0.93/1.18 (step @p3510 :rule trans :premises (@p3509 @p3507)) % 0.93/1.18 (step @p3511 :rule refl :args (tptp.subsetemptysetimpeq)) % 0.93/1.18 (step @p3512 :rule cong :premises (@p3511 @p3510) :args (@t475)) % 0.93/1.18 (step @p3513 :rule eq_resolve :premises (@p92 @p3512)) % 0.93/1.18 (step @p3514 :rule cong :premises (@p3513 @p3498) :args (@t2527)) % 0.93/1.18 (step @p3515 :rule refl :args (@t3)) % 0.93/1.18 (step @p3516 :rule nary_cong :premises (@p2949 @p3062 @p3515) :args (@t2528)) % 0.93/1.18 (step @p3517 :rule cong :premises (@p3516) :args ((forall @t12 @t2528))) % 0.93/1.18 (step @p3518 :rule aci_norm :args ((= (or @t439 (or @t2459 @t3)) @t2528))) % 0.93/1.18 (step @p3519 :rule bool-impl-elim :args (@t425 @t3)) % 0.93/1.18 (step @p3520 :rule refl :args (@t439)) % 0.93/1.18 (step @p3521 :rule nary_cong :premises (@p3520 @p3519) :args ((or @t439 @t470))) % 0.93/1.18 (step @p3522 :rule trans :premises (@p3521 @p3518)) % 0.93/1.18 (step @p3523 :rule bool-impl-elim :args (@t420 @t470)) % 0.93/1.18 (step @p3524 :rule trans :premises (@p3523 @p3522)) % 0.93/1.18 (step @p3525 :rule cong :premises (@p3524) :args (@t471)) % 0.93/1.18 (step @p3526 :rule trans :premises (@p3525 @p3517)) % 0.93/1.18 (step @p3527 :rule refl :args (tptp.setextsub)) % 0.93/1.18 (step @p3528 :rule cong :premises (@p3527 @p3526) :args (@t472)) % 0.93/1.18 (step @p3529 :rule eq_resolve :premises (@p91 @p3528)) % 0.93/1.18 (step @p3530 :rule cong :premises (@p3529 @p3514) :args (@t2529)) % 0.93/1.18 (step @p3531 :rule refl :args ((tptp.in @t2 @t391))) % 0.93/1.18 (step @p3532 :rule cong :premises (@p654 @p3428) :args (@t1422)) % 0.93/1.18 (step @p3533 :rule trans :premises (@p3532 @p3531)) % 0.93/1.18 (step @p3534 :rule ho_cong :premises (@p3456 @p3428)) % 0.93/1.18 (step @p3535 :rule cong :premises (@p3534 @p3533) :args ((= (_ @t466 @t1410) @t1422))) % 0.93/1.18 (step @p3536 :rule symm :premises (@p3535)) % 0.93/1.18 (step @p3537 :rule refl :args (@t467)) % 0.93/1.18 (step @p3538 :rule eq_resolve :premises (@p3537 @p3536)) % 0.93/1.18 (step @p3539 :rule ho_cong :premises (@p3456 @p3440)) % 0.93/1.18 (step @p3540 :rule trans :premises (@p3539 @p3538)) % 0.93/1.18 (step @p3541 :rule nary_cong :premises (@p2949 @p3540) :args (@t2530)) % 0.93/1.18 (step @p3542 :rule cong :premises (@p3541) :args ((forall @t12 @t2530))) % 0.93/1.18 (step @p3543 :rule bool-impl-elim :args (@t420 @t467)) % 0.93/1.18 (step @p3544 :rule cong :premises (@p3543) :args (@t468)) % 0.93/1.18 (step @p3545 :rule trans :premises (@p3544 @p3542)) % 0.93/1.18 (step @p3546 :rule refl :args (tptp.subset2powerset)) % 0.93/1.18 (step @p3547 :rule cong :premises (@p3546 @p3545) :args (@t469)) % 0.93/1.18 (step @p3548 :rule eq_resolve :premises (@p90 @p3547)) % 0.93/1.18 (step @p3549 :rule cong :premises (@p3548 @p3530) :args (@t2531)) % 0.93/1.18 (step @p3550 :rule refl :args ((tptp.subset @t2 @t462))) % 0.93/1.18 (step @p3551 :rule refl :args (@t1424)) % 0.93/1.18 (step @p3552 :rule cong :premises (@p654 @p3551) :args (@t1425)) % 0.93/1.18 (step @p3553 :rule trans :premises (@p3552 @p3550)) % 0.93/1.18 (step @p3554 :rule ho_cong :premises (@p2065 @p3551)) % 0.93/1.18 (step @p3555 :rule cong :premises (@p3554 @p3553) :args ((= (_ @t419 @t1424) @t1425))) % 0.93/1.18 (step @p3556 :rule symm :premises (@p3555)) % 0.93/1.18 (step @p3557 :rule refl :args (@t463)) % 0.93/1.18 (step @p3558 :rule eq_resolve :premises (@p3557 @p3556)) % 0.93/1.18 (step @p3559 :rule refl :args (@t462)) % 0.93/1.18 (step @p3560 :rule cong :premises (@p3559 @p3551) :args ((= @t462 @t1424))) % 0.93/1.18 (step @p3561 :rule symm :premises (@p3560)) % 0.93/1.18 (step @p3562 :rule eq_resolve :premises (@p3559 @p3561)) % 0.93/1.18 (step @p3563 :rule ho_cong :premises (@p2065 @p3562)) % 0.93/1.18 (step @p3564 :rule trans :premises (@p3563 @p3558)) % 0.93/1.18 (step @p3565 :rule nary_cong :premises (@p2949 @p3564) :args (@t2532)) % 0.93/1.18 (step @p3566 :rule cong :premises (@p3565) :args ((forall @t249 @t2532))) % 0.93/1.18 (step @p3567 :rule bool-impl-elim :args (@t420 @t463)) % 0.93/1.18 (step @p3568 :rule cong :premises (@p3567) :args (@t464)) % 0.93/1.18 (step @p3569 :rule trans :premises (@p3568 @p3566)) % 0.93/1.18 (step @p3570 :rule refl :args (tptp.setadjoinSub2)) % 0.93/1.18 (step @p3571 :rule cong :premises (@p3570 @p3569) :args (@t465)) % 0.93/1.18 (step @p3572 :rule eq_resolve :premises (@p89 @p3571)) % 0.93/1.18 (step @p3573 :rule cong :premises (@p3572 @p3549) :args (@t2533)) % 0.93/1.18 (step @p3574 :rule refl :args ((tptp.subset @t2 @t25))) % 0.93/1.18 (step @p3575 :rule refl :args (@t1427)) % 0.93/1.18 (step @p3576 :rule cong :premises (@p654 @p3575) :args (@t1428)) % 0.93/1.18 (step @p3577 :rule trans :premises (@p3576 @p3574)) % 0.93/1.18 (step @p3578 :rule ho_cong :premises (@p2065 @p3575)) % 0.93/1.18 (step @p3579 :rule cong :premises (@p3578 @p3577) :args ((= (_ @t419 @t1427) @t1428))) % 0.93/1.18 (step @p3580 :rule symm :premises (@p3579)) % 0.93/1.18 (step @p3581 :rule refl :args (@t458)) % 0.93/1.18 (step @p3582 :rule eq_resolve :premises (@p3581 @p3580)) % 0.93/1.18 (step @p3583 :rule refl :args (@t25)) % 0.93/1.18 (step @p3584 :rule cong :premises (@p3583 @p3575) :args ((= @t25 @t1427))) % 0.93/1.18 (step @p3585 :rule symm :premises (@p3584)) % 0.93/1.18 (step @p3586 :rule eq_resolve :premises (@p3583 @p3585)) % 0.93/1.18 (step @p3587 :rule ho_cong :premises (@p2065 @p3586)) % 0.93/1.18 (step @p3588 :rule trans :premises (@p3587 @p3582)) % 0.93/1.18 (step @p3589 :rule cong :premises (@p3588) :args (@t460)) % 0.93/1.18 (step @p3590 :rule refl :args (tptp.setadjoinSub)) % 0.93/1.18 (step @p3591 :rule cong :premises (@p3590 @p3589) :args (@t461)) % 0.93/1.18 (step @p3592 :rule eq_resolve :premises (@p88 @p3591)) % 0.93/1.18 (step @p3593 :rule cong :premises (@p3592 @p3573) :args (@t2534)) % 0.93/1.18 (step @p3594 :rule refl :args (@t1430)) % 0.93/1.18 (step @p3595 :rule refl :args (@t452)) % 0.93/1.18 (step @p3596 :rule cong :premises (@p3595 @p3594) :args ((= @t452 @t1430))) % 0.93/1.18 (step @p3597 :rule symm :premises (@p3596)) % 0.93/1.18 (step @p3598 :rule eq_resolve :premises (@p3595 @p3597)) % 0.93/1.18 (step @p3599 :rule refl :args (@t1431)) % 0.93/1.18 (step @p3600 :rule refl :args (@t453)) % 0.93/1.18 (step @p3601 :rule cong :premises (@p3600 @p3599) :args ((= @t453 @t1431))) % 0.93/1.18 (step @p3602 :rule symm :premises (@p3601)) % 0.93/1.18 (step @p3603 :rule eq_resolve :premises (@p3600 @p3602)) % 0.93/1.18 (step @p3604 :rule cong :premises (@p3603) :args (@t2535)) % 0.93/1.18 (step @p3605 :rule nary_cong :premises (@p2949 @p3604 @p3598) :args (@t2536)) % 0.93/1.18 (step @p3606 :rule cong :premises (@p3605) :args ((forall @t455 @t2536))) % 0.93/1.18 (step @p3607 :rule aci_norm :args ((= (or @t439 (or @t2535 @t452)) @t2536))) % 0.93/1.18 (step @p3608 :rule bool-impl-elim :args (@t453 @t452)) % 0.93/1.18 (step @p3609 :rule nary_cong :premises (@p3520 @p3608) :args ((or @t439 @t454))) % 0.93/1.18 (step @p3610 :rule trans :premises (@p3609 @p3607)) % 0.93/1.18 (step @p3611 :rule bool-impl-elim :args (@t420 @t454)) % 0.93/1.18 (step @p3612 :rule trans :premises (@p3611 @p3610)) % 0.93/1.18 (step @p3613 :rule cong :premises (@p3612) :args (@t456)) % 0.93/1.18 (step @p3614 :rule trans :premises (@p3613 @p3606)) % 0.93/1.18 (step @p3615 :rule refl :args (tptp.subsetTrans)) % 0.93/1.18 (step @p3616 :rule cong :premises (@p3615 @p3614) :args (@t457)) % 0.93/1.18 (step @p3617 :rule eq_resolve :premises (@p87 @p3616)) % 0.93/1.18 (step @p3618 :rule cong :premises (@p3617 @p3593) :args (@t2537)) % 0.93/1.18 (step @p3619 :rule refl :args (@t1433)) % 0.93/1.18 (step @p3620 :rule refl :args (@t449)) % 0.93/1.18 (step @p3621 :rule cong :premises (@p3620 @p3619) :args ((= @t449 @t1433))) % 0.93/1.18 (step @p3622 :rule symm :premises (@p3621)) % 0.93/1.18 (step @p3623 :rule eq_resolve :premises (@p3620 @p3622)) % 0.93/1.18 (step @p3624 :rule cong :premises (@p3623) :args (@t450)) % 0.93/1.18 (step @p3625 :rule refl :args (tptp.subsetRefl)) % 0.93/1.18 (step @p3626 :rule cong :premises (@p3625 @p3624) :args (@t451)) % 0.93/1.18 (step @p3627 :rule eq_resolve :premises (@p86 @p3626)) % 0.93/1.18 (step @p3628 :rule cong :premises (@p3627 @p3618) :args (@t2538)) % 0.93/1.18 (step @p3629 :rule bool-eq-true :args (tptp.notequalI2)) % 0.93/1.18 (step @p3630 :rule symm :premises (@p3629)) % 0.93/1.18 (step @p3631 :rule quant-unused-vars :args ((= (forall @t2539 true) true))) % 0.93/1.18 (step @p3632 :rule bool-or-taut2 :args (false @t1343 false false)) % 0.93/1.18 (step @p3633 :rule cong :premises (@p3632) :args ((forall @t2539 @t2540))) % 0.93/1.18 (step @p3634 :rule trans :premises (@p3633 @p3631)) % 0.93/1.18 (step @p3635 :rule aci_norm :args ((= (or @t1345 @t1343 false) @t2540))) % 0.93/1.18 (step @p3636 :rule eq-refl :args (@t1)) % 0.93/1.18 (step @p3637 :rule cong :premises (@p3636) :args (@t2541)) % 0.93/1.18 (step @p3638 :rule trans :premises (@p3637 @p1345)) % 0.93/1.18 (step @p3639 :rule nary_cong :premises (@p2779 @p2774 @p3638) :args (@t2542)) % 0.93/1.18 (step @p3640 :rule trans :premises (@p3639 @p3635)) % 0.93/1.18 (step @p3641 :rule cong :premises (@p3640) :args ((forall @t2539 @t2542))) % 0.93/1.18 (step @p3642 :rule trans :premises (@p3641 @p3634)) % 0.93/1.18 (step @p3643 :rule quant-var-elim-eq :args ((= (forall @t64 @t2543) @t2542))) % 0.93/1.18 (step @p3644 :rule aci_norm :args ((= @t2544 @t2543))) % 0.93/1.18 (step @p3645 :rule cong :premises (@p3644) :args (@t2545)) % 0.93/1.18 (step @p3646 :rule trans :premises (@p3645 @p3643)) % 0.93/1.18 (step @p3647 :rule cong :premises (@p3646) :args (@t2546)) % 0.93/1.18 (step @p3648 :rule quant-merge-prenex :args ((= @t2546 @t2547))) % 0.93/1.18 (step @p3649 :rule symm :premises (@p3648)) % 0.93/1.18 (step @p3650 :rule quant_var_reordering :args ((= (forall @t245 @t2544) @t2547))) % 0.93/1.18 (step @p3651 :rule trans :premises (@p3650 @p3649 @p3647)) % 0.93/1.18 (step @p3652 :rule trans :premises (@p3651 @p3642)) % 0.93/1.18 (step @p3653 :rule refl :args (@t443)) % 0.93/1.18 (step @p3654 :rule nary_cong :premises (@p747 @p2692 @p3653) :args (@t2548)) % 0.93/1.18 (step @p3655 :rule cong :premises (@p3654) :args ((forall @t245 @t2548))) % 0.93/1.18 (step @p3656 :rule trans :premises (@p3655 @p3652)) % 0.93/1.18 (step @p3657 :rule aci_norm :args ((= (or @t197 (or @t6 @t443)) @t2548))) % 0.93/1.18 (step @p3658 :rule nary_cong :premises (@p2697 @p3653) :args ((or @t2401 @t443))) % 0.93/1.18 (step @p3659 :rule bool-impl-elim :args (@t435 @t443)) % 0.93/1.18 (step @p3660 :rule trans :premises (@p3659 @p3658)) % 0.93/1.18 (step @p3661 :rule nary_cong :premises (@p1909 @p3660) :args ((or @t197 @t446))) % 0.93/1.18 (step @p3662 :rule trans :premises (@p3661 @p3657)) % 0.93/1.18 (step @p3663 :rule bool-impl-elim :args (@t7 @t446)) % 0.93/1.18 (step @p3664 :rule trans :premises (@p3663 @p3662)) % 0.93/1.18 (step @p3665 :rule cong :premises (@p3664) :args (@t447)) % 0.93/1.18 (step @p3666 :rule trans :premises (@p3665 @p3656)) % 0.93/1.18 (step @p3667 :rule refl :args (tptp.notequalI2)) % 0.93/1.18 (step @p3668 :rule cong :premises (@p3667 @p3666) :args (@t448)) % 0.93/1.18 (step @p3669 :rule trans :premises (@p3668 @p3629)) % 0.93/1.18 (step @p3670 :rule eq_resolve :premises (@p85 @p3669)) % 0.93/1.18 (step @p3671 :rule eq_resolve :premises (@p3670 @p3630)) % 0.93/1.18 (step @p3672 :rule cong :premises (@p3671 @p3628) :args (@t2549)) % 0.93/1.18 (step @p3673 :rule aci_norm :args ((= (or @t1435 false) @t1435))) % 0.93/1.18 (step @p3674 :rule refl :args (@t1435)) % 0.93/1.18 (step @p3675 :rule nary_cong :premises (@p3674 @p3638) :args (@t2550)) % 0.93/1.18 (step @p3676 :rule trans :premises (@p3675 @p3673)) % 0.93/1.18 (step @p3677 :rule cong :premises (@p3676) :args ((forall @t41 @t2550))) % 0.93/1.18 (step @p3678 :rule quant-var-elim-eq :args ((= (forall @t64 @t2551) @t2550))) % 0.93/1.18 (step @p3679 :rule aci_norm :args ((= @t2552 @t2551))) % 0.93/1.18 (step @p3680 :rule cong :premises (@p3679) :args (@t2553)) % 0.93/1.18 (step @p3681 :rule trans :premises (@p3680 @p3678)) % 0.93/1.18 (step @p3682 :rule cong :premises (@p3681) :args (@t2554)) % 0.93/1.18 (step @p3683 :rule quant-merge-prenex :args ((= @t2554 @t2556))) % 0.93/1.18 (step @p3684 :rule symm :premises (@p3683)) % 0.93/1.18 (step @p3685 :rule quant_var_reordering :args ((= (forall @t12 @t2552) @t2556))) % 0.93/1.18 (step @p3686 :rule trans :premises (@p3685 @p3684 @p3682)) % 0.93/1.18 (step @p3687 :rule trans :premises (@p3686 @p3677)) % 0.93/1.18 (step @p3688 :rule nary_cong :premises (@p2841 @p3653) :args (@t2557)) % 0.93/1.18 (step @p3689 :rule cong :premises (@p3688) :args ((forall @t12 @t2557))) % 0.93/1.18 (step @p3690 :rule trans :premises (@p3689 @p3687)) % 0.93/1.18 (step @p3691 :rule bool-double-not-elim :args (@t420)) % 0.93/1.18 (step @p3692 :rule nary_cong :premises (@p3691 @p3653) :args ((or (not @t439) @t443))) % 0.93/1.18 (step @p3693 :rule bool-impl-elim :args (@t439 @t443)) % 0.93/1.18 (step @p3694 :rule trans :premises (@p3693 @p3692)) % 0.93/1.18 (step @p3695 :rule cong :premises (@p3694) :args (@t444)) % 0.93/1.18 (step @p3696 :rule trans :premises (@p3695 @p3690)) % 0.93/1.18 (step @p3697 :rule refl :args (tptp.notequalI1)) % 0.93/1.18 (step @p3698 :rule cong :premises (@p3697 @p3696) :args (@t445)) % 0.93/1.18 (step @p3699 :rule eq_resolve :premises (@p84 @p3698)) % 0.93/1.18 (step @p3700 :rule cong :premises (@p3699 @p3672) :args (@t2558)) % 0.93/1.18 (step @p3701 :rule nary_cong :premises (@p747 @p2692 @p2949) :args (@t2559)) % 0.93/1.18 (step @p3702 :rule cong :premises (@p3701) :args ((forall @t245 @t2559))) % 0.93/1.18 (step @p3703 :rule aci_norm :args ((= (or @t197 (or @t6 @t439)) @t2559))) % 0.93/1.18 (step @p3704 :rule nary_cong :premises (@p2697 @p3520) :args ((or @t2401 @t439))) % 0.93/1.18 (step @p3705 :rule bool-impl-elim :args (@t435 @t439)) % 0.93/1.18 (step @p3706 :rule trans :premises (@p3705 @p3704)) % 0.93/1.18 (step @p3707 :rule nary_cong :premises (@p1909 @p3706) :args ((or @t197 @t440))) % 0.93/1.18 (step @p3708 :rule trans :premises (@p3707 @p3703)) % 0.93/1.18 (step @p3709 :rule bool-impl-elim :args (@t7 @t440)) % 0.93/1.18 (step @p3710 :rule trans :premises (@p3709 @p3708)) % 0.93/1.18 (step @p3711 :rule cong :premises (@p3710) :args (@t441)) % 0.93/1.18 (step @p3712 :rule trans :premises (@p3711 @p3702)) % 0.93/1.18 (step @p3713 :rule refl :args (tptp.notsubsetI)) % 0.93/1.18 (step @p3714 :rule cong :premises (@p3713 @p3712) :args (@t442)) % 0.93/1.18 (step @p3715 :rule eq_resolve :premises (@p83 @p3714)) % 0.93/1.18 (step @p3716 :rule cong :premises (@p3715 @p3700) :args (@t2560)) % 0.93/1.18 (step @p3717 :rule nary_cong :premises (@p2949 @p2692 @p747) :args (@t2561)) % 0.93/1.18 (step @p3718 :rule cong :premises (@p3717) :args ((forall @t245 @t2561))) % 0.93/1.18 (step @p3719 :rule aci_norm :args ((= (or @t439 @t2439) @t2561))) % 0.93/1.18 (step @p3720 :rule nary_cong :premises (@p3520 @p2917) :args ((or @t439 @t436))) % 0.93/1.18 (step @p3721 :rule trans :premises (@p3720 @p3719)) % 0.93/1.18 (step @p3722 :rule bool-impl-elim :args (@t420 @t436)) % 0.93/1.18 (step @p3723 :rule trans :premises (@p3722 @p3721)) % 0.93/1.18 (step @p3724 :rule cong :premises (@p3723) :args (@t437)) % 0.93/1.18 (step @p3725 :rule trans :premises (@p3724 @p3718)) % 0.93/1.18 (step @p3726 :rule refl :args (tptp.subsetE2)) % 0.93/1.18 (step @p3727 :rule cong :premises (@p3726 @p3725) :args (@t438)) % 0.93/1.18 (step @p3728 :rule eq_resolve :premises (@p82 @p3727)) % 0.93/1.18 (step @p3729 :rule cong :premises (@p3728 @p3716) :args (@t2562)) % 0.93/1.18 (step @p3730 :rule nary_cong :premises (@p2949 @p747 @p2692) :args (@t2563)) % 0.93/1.18 (step @p3731 :rule cong :premises (@p3730) :args ((forall @t245 @t2563))) % 0.93/1.18 (step @p3732 :rule aci_norm :args ((= (or @t439 @t2443) @t2563))) % 0.93/1.18 (step @p3733 :rule nary_cong :premises (@p3520 @p2935) :args ((or @t439 @t191))) % 0.93/1.18 (step @p3734 :rule trans :premises (@p3733 @p3732)) % 0.93/1.18 (step @p3735 :rule bool-impl-elim :args (@t420 @t191)) % 0.93/1.18 (step @p3736 :rule trans :premises (@p3735 @p3734)) % 0.93/1.18 (step @p3737 :rule cong :premises (@p3736) :args (@t433)) % 0.93/1.18 (step @p3738 :rule trans :premises (@p3737 @p3731)) % 0.93/1.18 (step @p3739 :rule refl :args (tptp.subsetE)) % 0.93/1.18 (step @p3740 :rule cong :premises (@p3739 @p3738) :args (@t434)) % 0.93/1.18 (step @p3741 :rule eq_resolve :premises (@p81 @p3740)) % 0.93/1.18 (step @p3742 :rule cong :premises (@p3741 @p3729) :args (@t2564)) % 0.93/1.18 (step @p3743 :rule refl :args (@t1440)) % 0.93/1.18 (step @p3744 :rule refl :args (@t430)) % 0.93/1.18 (step @p3745 :rule cong :premises (@p3744 @p3743) :args ((= @t430 @t1440))) % 0.93/1.18 (step @p3746 :rule symm :premises (@p3745)) % 0.93/1.18 (step @p3747 :rule eq_resolve :premises (@p3744 @p3746)) % 0.93/1.18 (step @p3748 :rule cong :premises (@p3747) :args (@t431)) % 0.93/1.18 (step @p3749 :rule refl :args (tptp.emptysetsubset)) % 0.93/1.18 (step @p3750 :rule cong :premises (@p3749 @p3748) :args (@t432)) % 0.93/1.18 (step @p3751 :rule eq_resolve :premises (@p80 @p3750)) % 0.93/1.18 (step @p3752 :rule cong :premises (@p3751 @p3742) :args (@t2565)) % 0.93/1.18 (step @p3753 :rule eq-symm :args (@t1444 tptp.subsetI2)) % 0.93/1.18 (step @p3754 :rule refl :args (tptp.subsetI2)) % 0.93/1.18 (step @p3755 :rule refl :args (@t1443)) % 0.93/1.18 (step @p3756 :rule nary_cong :premises (@p3755 @p2841) :args (@t2566)) % 0.93/1.18 (step @p3757 :rule cong :premises (@p3756) :args ((forall @t12 @t2566))) % 0.93/1.18 (step @p3758 :rule bool-impl-elim :args (@t1442 @t420)) % 0.93/1.18 (step @p3759 :rule cong :premises (@p3758) :args ((forall @t12 (=> @t1442 @t420)))) % 0.93/1.18 (step @p3760 :rule trans :premises (@p3759 @p3757)) % 0.93/1.18 (step @p3761 :rule nary_cong :premises (@p747 @p2692) :args (@t2443)) % 0.93/1.18 (step @p3762 :rule cong :premises (@p3761) :args ((forall @t9 @t2443))) % 0.93/1.18 (step @p3763 :rule cong :premises (@p2935) :args (@t192)) % 0.93/1.18 (step @p3764 :rule trans :premises (@p3763 @p3762)) % 0.93/1.18 (step @p3765 :rule cong :premises (@p3764 @p2854) :args (@t421)) % 0.93/1.18 (step @p3766 :rule cong :premises (@p3765) :args (@t422)) % 0.93/1.18 (step @p3767 :rule trans :premises (@p3766 @p3760)) % 0.93/1.18 (step @p3768 :rule cong :premises (@p3767 @p3754) :args ((= @t422 tptp.subsetI2))) % 0.93/1.18 (step @p3769 :rule trans :premises (@p3768 @p3753)) % 0.93/1.18 (step @p3770 :rule eq-symm :args (tptp.subsetI2 @t422)) % 0.93/1.18 (step @p3771 :rule trans :premises (@p3770 @p3769)) % 0.93/1.18 (step @p3772 :rule eq_resolve :premises (@p79 @p3771)) % 0.93/1.18 (step @p3773 :rule cong :premises (@p3772 @p3752) :args (@t2567)) % 0.93/1.18 (step @p3774 :rule aci_norm :args ((= (or false @t1435) @t1435))) % 0.93/1.18 (step @p3775 :rule nary_cong :premises (@p3638 @p3674) :args (@t2568)) % 0.93/1.18 (step @p3776 :rule trans :premises (@p3775 @p3774)) % 0.93/1.18 (step @p3777 :rule cong :premises (@p3776) :args ((forall @t41 @t2568))) % 0.93/1.18 (step @p3778 :rule quant-var-elim-eq :args ((= (forall @t64 @t2569) @t2568))) % 0.93/1.18 (step @p3779 :rule aci_norm :args ((= @t2570 @t2569))) % 0.93/1.18 (step @p3780 :rule cong :premises (@p3779) :args (@t2571)) % 0.93/1.18 (step @p3781 :rule trans :premises (@p3780 @p3778)) % 0.93/1.18 (step @p3782 :rule cong :premises (@p3781) :args (@t2572)) % 0.93/1.18 (step @p3783 :rule quant-merge-prenex :args ((= @t2572 @t2573))) % 0.93/1.18 (step @p3784 :rule symm :premises (@p3783)) % 0.93/1.18 (step @p3785 :rule quant_var_reordering :args ((= (forall @t12 @t2570) @t2573))) % 0.93/1.18 (step @p3786 :rule trans :premises (@p3785 @p3784 @p3782)) % 0.93/1.18 (step @p3787 :rule trans :premises (@p3786 @p3777)) % 0.93/1.18 (step @p3788 :rule nary_cong :premises (@p3653 @p2841) :args (@t2574)) % 0.93/1.18 (step @p3789 :rule cong :premises (@p3788) :args ((forall @t12 @t2574))) % 0.93/1.18 (step @p3790 :rule trans :premises (@p3789 @p3787)) % 0.93/1.18 (step @p3791 :rule bool-impl-elim :args (@t3 @t420)) % 0.93/1.18 (step @p3792 :rule cong :premises (@p3791) :args (@t428)) % 0.93/1.18 (step @p3793 :rule trans :premises (@p3792 @p3790)) % 0.93/1.18 (step @p3794 :rule refl :args (tptp.eqimpsubset1)) % 0.93/1.18 (step @p3795 :rule cong :premises (@p3794 @p3793) :args (@t429)) % 0.93/1.18 (step @p3796 :rule eq_resolve :premises (@p78 @p3795)) % 0.93/1.18 (step @p3797 :rule cong :premises (@p3796 @p3773) :args (@t2575)) % 0.93/1.18 (step @p3798 :rule quant-var-elim-eq :args ((= (forall @t64 @t2576) @t2568))) % 0.93/1.18 (step @p3799 :rule aci_norm :args ((= @t2577 @t2576))) % 0.93/1.18 (step @p3800 :rule cong :premises (@p3799) :args (@t2578)) % 0.93/1.18 (step @p3801 :rule trans :premises (@p3800 @p3798)) % 0.93/1.18 (step @p3802 :rule cong :premises (@p3801) :args (@t2579)) % 0.93/1.18 (step @p3803 :rule quant-merge-prenex :args ((= @t2579 @t2580))) % 0.93/1.18 (step @p3804 :rule symm :premises (@p3803)) % 0.93/1.18 (step @p3805 :rule quant_var_reordering :args ((= (forall @t12 @t2577) @t2580))) % 0.93/1.18 (step @p3806 :rule trans :premises (@p3805 @p3804 @p3802)) % 0.93/1.18 (step @p3807 :rule trans :premises (@p3806 @p3777)) % 0.93/1.18 (step @p3808 :rule nary_cong :premises (@p3653 @p3061) :args (@t2581)) % 0.93/1.18 (step @p3809 :rule cong :premises (@p3808) :args ((forall @t12 @t2581))) % 0.93/1.18 (step @p3810 :rule trans :premises (@p3809 @p3807)) % 0.93/1.18 (step @p3811 :rule bool-impl-elim :args (@t3 @t425)) % 0.93/1.18 (step @p3812 :rule cong :premises (@p3811) :args (@t426)) % 0.93/1.18 (step @p3813 :rule trans :premises (@p3812 @p3810)) % 0.93/1.18 (step @p3814 :rule refl :args (tptp.eqimpsubset2)) % 0.93/1.18 (step @p3815 :rule cong :premises (@p3814 @p3813) :args (@t427)) % 0.93/1.18 (step @p3816 :rule eq_resolve :premises (@p77 @p3815)) % 0.93/1.18 (step @p3817 :rule cong :premises (@p3816 @p3797) :args (@t2582)) % 0.93/1.18 (step @p3818 :rule refl :args (tptp.subsetI1)) % 0.93/1.18 (step @p3819 :rule cong :premises (@p3818 @p3767) :args (@t423)) % 0.93/1.18 (step @p3820 :rule eq_resolve :premises (@p76 @p3819)) % 0.93/1.18 (step @p3821 :rule cong :premises (@p3820 @p3817) :args (@t2583)) % 0.93/1.18 (step @p3822 :rule aci_norm :args ((= (or false @t1452 @t1449) @t1453))) % 0.93/1.18 (step @p3823 :rule eq-symm :args (@t1446 @t1448)) % 0.93/1.18 (step @p3824 :rule aci_norm :args ((= @t2584 @t1451))) % 0.93/1.18 (step @p3825 :rule cong :premises (@p3824) :args (@t2585)) % 0.93/1.18 (step @p3826 :rule cong :premises (@p3825) :args (@t2586)) % 0.93/1.18 (step @p3827 :rule nary_cong :premises (@p3638 @p3826 @p3823) :args (@t2587)) % 0.93/1.18 (step @p3828 :rule trans :premises (@p3827 @p3822)) % 0.93/1.18 (step @p3829 :rule cong :premises (@p3828) :args ((forall @t1454 @t2587))) % 0.93/1.18 (step @p3830 :rule quant-var-elim-eq :args ((= (forall @t64 @t2590) @t2587))) % 0.93/1.18 (step @p3831 :rule aci_norm :args ((= @t2591 @t2590))) % 0.93/1.18 (step @p3832 :rule cong :premises (@p3831) :args (@t2592)) % 0.93/1.18 (step @p3833 :rule trans :premises (@p3832 @p3830)) % 0.93/1.18 (step @p3834 :rule cong :premises (@p3833) :args (@t2593)) % 0.93/1.18 (step @p3835 :rule quant-merge-prenex :args ((= @t2593 @t2594))) % 0.93/1.18 (step @p3836 :rule symm :premises (@p3835)) % 0.93/1.18 (step @p3837 :rule quant_var_reordering :args ((= (forall @t2595 @t2591) @t2594))) % 0.93/1.18 (step @p3838 :rule trans :premises (@p3837 @p3836 @p3834)) % 0.93/1.18 (step @p3839 :rule trans :premises (@p3838 @p3829)) % 0.93/1.18 (step @p3840 :rule aci_norm :args ((= @t2597 @t2591))) % 0.93/1.18 (step @p3841 :rule cong :premises (@p3840) :args (@t2598)) % 0.93/1.18 (step @p3842 :rule trans :premises (@p3841 @p3839)) % 0.93/1.18 (step @p3843 :rule quant-merge-prenex :args ((= (forall @t12 @t2600) @t2598))) % 0.93/1.18 (step @p3844 :rule alpha_equiv :args (@t2601 (@list @t1445 @t1447) (@list @t143 @t366))) % 0.93/1.18 (step @p3845 :rule nary_cong :premises (@p3653 @p3844) :args (@t2602)) % 0.93/1.18 (step @p3846 :rule quant-miniscope-or :args ((= @t2600 @t2602))) % 0.93/1.18 (step @p3847 :rule trans :premises (@p3846 @p3845)) % 0.93/1.18 (step @p3848 :rule symm :premises (@p3847)) % 0.93/1.18 (step @p3849 :rule cong :premises (@p3848) :args ((forall @t12 (or @t443 @t2606)))) % 0.93/1.18 (step @p3850 :rule trans :premises (@p3849 @p3843)) % 0.93/1.18 (step @p3851 :rule trans :premises (@p3850 @p3842)) % 0.93/1.18 (step @p3852 :rule bool-impl-elim :args (@t3 @t2606)) % 0.93/1.18 (step @p3853 :rule cong :premises (@p3852) :args ((forall @t12 (=> @t3 @t2606)))) % 0.93/1.18 (step @p3854 :rule trans :premises (@p3853 @p3851)) % 0.93/1.18 (step @p3855 :rule lambda-elim :args ((= @t2607 @t366))) % 0.93/1.18 (step @p3856 :rule cong :premises (@p636 @p3855) :args (@t2608)) % 0.93/1.18 (step @p3857 :rule cong :premises (@p3373 @p3856) :args (@t2609)) % 0.93/1.18 (step @p3858 :rule refl :args (@t2605)) % 0.93/1.18 (step @p3859 :rule nary_cong :premises (@p3858 @p3857) :args (@t2610)) % 0.93/1.18 (step @p3860 :rule cong :premises (@p3859) :args ((forall @t376 @t2610))) % 0.93/1.18 (step @p3861 :rule refl :args ((tptp.dsetconstr @t1 @t368))) % 0.93/1.18 (step @p3862 :rule refl :args (@t1479)) % 0.93/1.18 (step @p3863 :rule cong :premises (@p3862) :args (@t2607)) % 0.93/1.18 (step @p3864 :rule cong :premises (@p653 @p3863) :args (@t2608)) % 0.93/1.18 (step @p3865 :rule trans :premises (@p3864 @p3861)) % 0.93/1.18 (step @p3866 :rule refl :args (@t408)) % 0.93/1.18 (step @p3867 :rule ho_cong :premises (@p3866 @p3863)) % 0.93/1.18 (step @p3868 :rule cong :premises (@p3867 @p3865) :args ((= (_ @t408 @t2607) @t2608))) % 0.93/1.18 (step @p3869 :rule symm :premises (@p3868)) % 0.93/1.18 (step @p3870 :rule refl :args (@t409)) % 0.93/1.18 (step @p3871 :rule eq_resolve :premises (@p3870 @p3869)) % 0.93/1.18 (step @p3872 :rule refl :args (@t367)) % 0.93/1.18 (step @p3873 :rule cong :premises (@p3872 @p3862) :args ((= @t367 @t1479))) % 0.93/1.18 (step @p3874 :rule symm :premises (@p3873)) % 0.93/1.18 (step @p3875 :rule eq_resolve :premises (@p3872 @p3874)) % 0.93/1.18 (step @p3876 :rule cong :premises (@p3875) :args (@t368)) % 0.93/1.18 (step @p3877 :rule ho_cong :premises (@p3866 @p3876)) % 0.93/1.18 (step @p3878 :rule trans :premises (@p3877 @p3871)) % 0.93/1.18 (step @p3879 :rule cong :premises (@p3396 @p3878) :args (@t410)) % 0.93/1.18 (step @p3880 :rule refl :args (@t2605)) % 0.93/1.18 (step @p3881 :rule nary_cong :premises (@p3880 @p3879) :args (@t2611)) % 0.93/1.18 (step @p3882 :rule cong :premises (@p3881) :args ((forall @t376 @t2611))) % 0.93/1.18 (step @p3883 :rule trans :premises (@p3882 @p3860)) % 0.93/1.18 (step @p3884 :rule bool-impl-elim :args (@t2604 @t410)) % 0.93/1.18 (step @p3885 :rule cong :premises (@p3884) :args ((forall @t376 (=> @t2604 @t410)))) % 0.93/1.18 (step @p3886 :rule trans :premises (@p3885 @p3883)) % 0.93/1.18 (step @p3887 :rule refl :args (@t410)) % 0.93/1.18 (step @p3888 :rule refl :args (@t2603)) % 0.93/1.18 (step @p3889 :rule refl :args (@t1345)) % 0.93/1.18 (step @p3890 :rule nary_cong :premises (@p747 @p3889 @p3888) :args (@t2612)) % 0.93/1.18 (step @p3891 :rule cong :premises (@p3890) :args ((forall @t9 @t2612))) % 0.93/1.18 (step @p3892 :rule aci_norm :args ((= (or @t197 @t2613) @t2612))) % 0.93/1.18 (step @p3893 :rule bool-impl-elim :args (@t7 @t2613)) % 0.93/1.18 (step @p3894 :rule trans :premises (@p3893 @p3892)) % 0.93/1.18 (step @p3895 :rule cong :premises (@p3894) :args ((forall @t9 (=> @t7 @t2613)))) % 0.93/1.18 (step @p3896 :rule trans :premises (@p3895 @p3891)) % 0.93/1.18 (step @p3897 :rule aci_norm :args ((= (or @t1345 false @t2603) @t2613))) % 0.93/1.18 (step @p3898 :rule refl :args (@t2603)) % 0.93/1.18 (step @p3899 :rule eq-refl :args (@t4)) % 0.93/1.18 (step @p3900 :rule cong :premises (@p3899) :args (@t2614)) % 0.93/1.18 (step @p3901 :rule trans :premises (@p3900 @p1345)) % 0.93/1.18 (step @p3902 :rule nary_cong :premises (@p2779 @p3901 @p3898) :args (@t2615)) % 0.93/1.18 (step @p3903 :rule trans :premises (@p3902 @p3897)) % 0.93/1.18 (step @p3904 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t1926 @t282 @t2616)) @t2615))) % 0.93/1.18 (step @p3905 :rule refl :args (@t2616)) % 0.93/1.18 (step @p3906 :rule refl :args (@t1926)) % 0.93/1.18 (step @p3907 :rule eq-symm :args (@t4 @t19)) % 0.93/1.18 (step @p3908 :rule cong :premises (@p3907) :args (@t282)) % 0.93/1.18 (step @p3909 :rule nary_cong :premises (@p3908 @p3906 @p1409 @p3905) :args (@t2617)) % 0.93/1.18 (step @p3910 :rule aci_norm :args ((= @t2618 @t2617))) % 0.93/1.18 (step @p3911 :rule trans :premises (@p3910 @p3909)) % 0.93/1.18 (step @p3912 :rule cong :premises (@p3911) :args ((forall @t70 @t2618))) % 0.93/1.18 (step @p3913 :rule trans :premises (@p3912 @p3904)) % 0.93/1.18 (step @p3914 :rule trans :premises (@p3913 @p3903)) % 0.93/1.18 (step @p3915 :rule refl :args (@t1457)) % 0.93/1.18 (step @p3916 :rule refl :args (@t371)) % 0.93/1.18 (step @p3917 :rule cong :premises (@p3916 @p3915) :args ((= @t371 @t1457))) % 0.93/1.18 (step @p3918 :rule symm :premises (@p3917)) % 0.93/1.18 (step @p3919 :rule eq_resolve :premises (@p3916 @p3918)) % 0.93/1.18 (step @p3920 :rule cong :premises (@p1755 @p3919) :args (@t372)) % 0.93/1.18 (step @p3921 :rule nary_cong :premises (@p757 @p1409 @p3920) :args (@t2619)) % 0.93/1.18 (step @p3922 :rule cong :premises (@p3921) :args ((forall @t70 @t2619))) % 0.93/1.18 (step @p3923 :rule trans :premises (@p3922 @p3914)) % 0.93/1.18 (step @p3924 :rule aci_norm :args ((= (or @t1930 @t2620) @t2619))) % 0.93/1.18 (step @p3925 :rule bool-impl-elim :args (@t129 @t372)) % 0.93/1.18 (step @p3926 :rule nary_cong :premises (@p762 @p3925) :args ((or @t1930 @t373))) % 0.93/1.18 (step @p3927 :rule trans :premises (@p3926 @p3924)) % 0.93/1.18 (step @p3928 :rule bool-impl-elim :args (@t352 @t373)) % 0.93/1.18 (step @p3929 :rule trans :premises (@p3928 @p3927)) % 0.93/1.18 (step @p3930 :rule cong :premises (@p3929) :args (@t411)) % 0.93/1.18 (step @p3931 :rule trans :premises (@p3930 @p3923)) % 0.93/1.18 (step @p3932 :rule cong :premises (@p769 @p3931) :args (@t412)) % 0.93/1.18 (step @p3933 :rule cong :premises (@p3932) :args (@t413)) % 0.93/1.18 (step @p3934 :rule trans :premises (@p3933 @p3896)) % 0.93/1.18 (step @p3935 :rule cong :premises (@p3934 @p3887) :args (@t414)) % 0.93/1.18 (step @p3936 :rule cong :premises (@p3935) :args (@t415)) % 0.93/1.18 (step @p3937 :rule trans :premises (@p3936 @p3886)) % 0.93/1.18 (step @p3938 :rule refl :args (@t3)) % 0.93/1.18 (step @p3939 :rule cong :premises (@p3938 @p3937) :args (@t416)) % 0.93/1.18 (step @p3940 :rule cong :premises (@p3939) :args (@t417)) % 0.93/1.18 (step @p3941 :rule trans :premises (@p3940 @p3854)) % 0.93/1.18 (step @p3942 :rule refl :args (tptp.dsetconstr__Cong)) % 0.93/1.18 (step @p3943 :rule cong :premises (@p3942 @p3941) :args (@t418)) % 0.93/1.18 (step @p3944 :rule eq_resolve :premises (@p75 @p3943)) % 0.93/1.18 (step @p3945 :rule cong :premises (@p3944 @p3821) :args (@t2621)) % 0.93/1.18 (step @p3946 :rule eq-symm :args (@t1456 @t19)) % 0.93/1.18 (step @p3947 :rule refl :args (@t1458)) % 0.93/1.18 (step @p3948 :rule nary_cong :premises (@p3947 @p3946) :args (@t2622)) % 0.93/1.18 (step @p3949 :rule cong :premises (@p3948) :args (@t2623)) % 0.93/1.18 (step @p3950 :rule cong :premises (@p3949) :args (@t2624)) % 0.93/1.18 (step @p3951 :rule refl :args (@t1459)) % 0.93/1.18 (step @p3952 :rule eq-symm :args (@t1460 @t19)) % 0.93/1.18 (step @p3953 :rule refl :args (@t1243)) % 0.93/1.18 (step @p3954 :rule nary_cong :premises (@p3953 @p3952) :args (@t2625)) % 0.93/1.18 (step @p3955 :rule cong :premises (@p3954) :args (@t2626)) % 0.93/1.18 (step @p3956 :rule cong :premises (@p3955) :args (@t2627)) % 0.93/1.18 (step @p3957 :rule refl :args (@t1461)) % 0.93/1.18 (step @p3958 :rule refl :args (@t1463)) % 0.93/1.18 (step @p3959 :rule refl :args (@t1466)) % 0.93/1.18 (step @p3960 :rule nary_cong :premises (@p3959 @p3958 @p3957 @p3956 @p3951 @p3950) :args (@t2628)) % 0.93/1.18 (step @p3961 :rule aci_norm :args ((= @t2631 @t2628))) % 0.93/1.18 (step @p3962 :rule trans :premises (@p3961 @p3960)) % 0.93/1.18 (step @p3963 :rule cong :premises (@p3962) :args (@t2632)) % 0.93/1.18 (step @p3964 :rule quant-merge-prenex :args ((= (forall @t376 @t2633) @t2632))) % 0.93/1.18 (step @p3965 :rule refl :args (@t1463)) % 0.93/1.18 (step @p3966 :rule alpha_equiv :args (@t2634 (@list @t1456) @t2008)) % 0.93/1.18 (step @p3967 :rule alpha_equiv :args (@t2635 (@list @t1460) @t2008)) % 0.93/1.18 (step @p3968 :rule refl :args (@t1466)) % 0.93/1.18 (step @p3969 :rule nary_cong :premises (@p3968 @p3967 @p3966 @p3965) :args (@t2636)) % 0.93/1.18 (step @p3970 :rule quant-miniscope-or :args ((= @t2633 @t2636))) % 0.93/1.18 (step @p3971 :rule trans :premises (@p3970 @p3969)) % 0.93/1.18 (step @p3972 :rule symm :premises (@p3971)) % 0.93/1.18 (step @p3973 :rule cong :premises (@p3972) :args ((forall @t376 (or @t1466 @t1484 @t1480 @t1463)))) % 0.93/1.18 (step @p3974 :rule trans :premises (@p3973 @p3964)) % 0.93/1.18 (step @p3975 :rule trans :premises (@p3974 @p3963)) % 0.93/1.18 (step @p3976 :rule cong :premises (@p3855) :args (@t2637)) % 0.93/1.18 (step @p3977 :rule cong :premises (@p3372) :args (@t2638)) % 0.93/1.18 (step @p3978 :rule cong :premises (@p3977 @p3976) :args (@t2639)) % 0.93/1.18 (step @p3979 :rule refl :args (@t1480)) % 0.93/1.18 (step @p3980 :rule refl :args (@t1484)) % 0.93/1.18 (step @p3981 :rule nary_cong :premises (@p3959 @p3980 @p3979 @p3978) :args (@t2640)) % 0.93/1.18 (step @p3982 :rule cong :premises (@p3981) :args ((forall @t376 @t2640))) % 0.93/1.18 (step @p3983 :rule trans :premises (@p3982 @p3975)) % 0.93/1.18 (step @p3984 :rule refl :args ((tptp.descr @t368))) % 0.93/1.18 (step @p3985 :rule cong :premises (@p3863) :args (@t2637)) % 0.93/1.18 (step @p3986 :rule trans :premises (@p3985 @p3984)) % 0.93/1.18 (step @p3987 :rule refl :args (tptp.descr)) % 0.93/1.18 (step @p3988 :rule ho_cong :premises (@p3987 @p3863)) % 0.93/1.18 (step @p3989 :rule cong :premises (@p3988 @p3986) :args ((= (_ tptp.descr @t2607) @t2637))) % 0.93/1.18 (step @p3990 :rule symm :premises (@p3989)) % 0.93/1.18 (step @p3991 :rule refl :args (@t401)) % 0.93/1.18 (step @p3992 :rule eq_resolve :premises (@p3991 @p3990)) % 0.93/1.18 (step @p3993 :rule ho_cong :premises (@p3987 @p3876)) % 0.93/1.18 (step @p3994 :rule trans :premises (@p3993 @p3992)) % 0.93/1.18 (step @p3995 :rule refl :args ((tptp.descr @t145))) % 0.93/1.18 (step @p3996 :rule cong :premises (@p3378) :args (@t2638)) % 0.93/1.18 (step @p3997 :rule trans :premises (@p3996 @p3995)) % 0.93/1.18 (step @p3998 :rule ho_cong :premises (@p3987 @p3378)) % 0.93/1.18 (step @p3999 :rule cong :premises (@p3998 @p3997) :args ((= (_ tptp.descr @t2511) @t2638))) % 0.93/1.18 (step @p4000 :rule symm :premises (@p3999)) % 0.93/1.18 (step @p4001 :rule refl :args (@t146)) % 0.93/1.18 (step @p4002 :rule eq_resolve :premises (@p4001 @p4000)) % 0.93/1.18 (step @p4003 :rule ho_cong :premises (@p3987 @p3394)) % 0.93/1.18 (step @p4004 :rule trans :premises (@p4003 @p4002)) % 0.93/1.18 (step @p4005 :rule cong :premises (@p4004 @p3994) :args (@t402)) % 0.93/1.18 (step @p4006 :rule refl :args (@t1480)) % 0.93/1.18 (step @p4007 :rule refl :args (@t1484)) % 0.93/1.18 (step @p4008 :rule nary_cong :premises (@p3968 @p4007 @p4006 @p4005) :args (@t2641)) % 0.93/1.18 (step @p4009 :rule cong :premises (@p4008) :args ((forall @t376 @t2641))) % 0.93/1.18 (step @p4010 :rule trans :premises (@p4009 @p3983)) % 0.93/1.18 (step @p4011 :rule aci_norm :args ((= (or @t1466 @t2642) @t2641))) % 0.93/1.18 (step @p4012 :rule aci_norm :args ((= (or @t1484 (or @t1480 @t402)) @t2642))) % 0.93/1.18 (step @p4013 :rule refl :args (@t402)) % 0.93/1.18 (step @p4014 :rule bool-double-not-elim :args (@t1480)) % 0.93/1.18 (step @p4015 :rule nary_cong :premises (@p4014 @p4013) :args ((or (not @t1481) @t402))) % 0.93/1.18 (step @p4016 :rule bool-impl-elim :args (@t1481 @t402)) % 0.93/1.18 (step @p4017 :rule trans :premises (@p4016 @p4015)) % 0.93/1.18 (step @p4018 :rule nary_cong :premises (@p4007 @p4017) :args ((or @t1484 @t2643))) % 0.93/1.18 (step @p4019 :rule trans :premises (@p4018 @p4012)) % 0.93/1.18 (step @p4020 :rule refl :args (@t2643)) % 0.93/1.18 (step @p4021 :rule bool-double-not-elim :args (@t1484)) % 0.93/1.18 (step @p4022 :rule nary_cong :premises (@p4021 @p4020) :args ((or @t2644 @t2643))) % 0.93/1.18 (step @p4023 :rule bool-impl-elim :args (@t1485 @t2643)) % 0.93/1.18 (step @p4024 :rule trans :premises (@p4023 @p4022)) % 0.93/1.18 (step @p4025 :rule trans :premises (@p4024 @p4019)) % 0.93/1.18 (step @p4026 :rule nary_cong :premises (@p3968 @p4025) :args ((or @t1466 @t2645))) % 0.93/1.18 (step @p4027 :rule trans :premises (@p4026 @p4011)) % 0.93/1.18 (step @p4028 :rule bool-impl-elim :args (@t1465 @t2645)) % 0.93/1.18 (step @p4029 :rule trans :premises (@p4028 @p4027)) % 0.93/1.18 (step @p4030 :rule cong :premises (@p4029) :args ((forall @t376 (=> @t1465 @t2645)))) % 0.93/1.18 (step @p4031 :rule trans :premises (@p4030 @p4010)) % 0.93/1.18 (step @p4032 :rule refl :args (@t402)) % 0.93/1.18 (step @p4033 :rule refl :args (@t1478)) % 0.93/1.18 (step @p4034 :rule cong :premises (@p3875) :args (@t2646)) % 0.93/1.18 (step @p4035 :rule nary_cong :premises (@p4034 @p4033) :args (@t2647)) % 0.93/1.18 (step @p4036 :rule cong :premises (@p4035) :args ((forall @t9 @t2647))) % 0.93/1.18 (step @p4037 :rule cong :premises (@p3919) :args (@t2648)) % 0.93/1.18 (step @p4038 :rule nary_cong :premises (@p4037 @p1331) :args (@t2649)) % 0.93/1.18 (step @p4039 :rule cong :premises (@p4038) :args ((forall @t70 @t2649))) % 0.93/1.18 (step @p4040 :rule beta-reduce :args ((= @t2650 @t371))) % 0.93/1.18 (step @p4041 :rule cong :premises (@p4040) :args (@t2651)) % 0.93/1.18 (step @p4042 :rule nary_cong :premises (@p4041 @p1443) :args (@t2652)) % 0.93/1.18 (step @p4043 :rule cong :premises (@p4042) :args (@t2653)) % 0.93/1.18 (step @p4044 :rule trans :premises (@p4043 @p4039)) % 0.93/1.18 (step @p4045 :rule cong :premises (@p4044) :args (@t2654)) % 0.93/1.18 (step @p4046 :rule beta-reduce :args ((= @t2655 @t367))) % 0.93/1.18 (step @p4047 :rule cong :premises (@p4046) :args (@t2656)) % 0.93/1.18 (step @p4048 :rule nary_cong :premises (@p4047 @p4045) :args (@t2657)) % 0.93/1.18 (step @p4049 :rule cong :premises (@p4048) :args (@t2658)) % 0.93/1.18 (step @p4050 :rule trans :premises (@p4049 @p4036)) % 0.93/1.18 (step @p4051 :rule cong :premises (@p4050) :args (@t2659)) % 0.93/1.18 (step @p4052 :rule beta-reduce :args ((= @t2661 @t2659))) % 0.93/1.18 (step @p4053 :rule trans :premises (@p4052 @p4051)) % 0.93/1.18 (step @p4054 :rule cong :premises (@p4053 @p4032) :args (@t2662)) % 0.93/1.18 (step @p4055 :rule refl :args (@t1483)) % 0.93/1.18 (step @p4056 :rule nary_cong :premises (@p1756 @p4055) :args (@t2663)) % 0.93/1.18 (step @p4057 :rule cong :premises (@p4056) :args ((forall @t9 @t2663))) % 0.93/1.18 (step @p4058 :rule nary_cong :premises (@p1792 @p1331) :args (@t2198)) % 0.93/1.18 (step @p4059 :rule cong :premises (@p4058) :args ((forall @t70 @t2198))) % 0.93/1.18 (step @p4060 :rule beta-reduce :args ((= @t2664 @t153))) % 0.93/1.18 (step @p4061 :rule cong :premises (@p4060) :args (@t2665)) % 0.93/1.18 (step @p4062 :rule nary_cong :premises (@p4061 @p1443) :args (@t2666)) % 0.93/1.18 (step @p4063 :rule cong :premises (@p4062) :args (@t2667)) % 0.93/1.18 (step @p4064 :rule trans :premises (@p4063 @p4059)) % 0.93/1.18 (step @p4065 :rule cong :premises (@p4064) :args (@t2668)) % 0.93/1.18 (step @p4066 :rule beta-reduce :args ((= @t2669 @t144))) % 0.93/1.18 (step @p4067 :rule cong :premises (@p4066) :args (@t2670)) % 0.93/1.18 (step @p4068 :rule nary_cong :premises (@p4067 @p4065) :args (@t2671)) % 0.93/1.18 (step @p4069 :rule cong :premises (@p4068) :args (@t2672)) % 0.93/1.18 (step @p4070 :rule trans :premises (@p4069 @p4057)) % 0.93/1.18 (step @p4071 :rule cong :premises (@p4070) :args (@t2673)) % 0.93/1.18 (step @p4072 :rule beta-reduce :args ((= @t2674 @t2673))) % 0.93/1.18 (step @p4073 :rule trans :premises (@p4072 @p4071)) % 0.93/1.18 (step @p4074 :rule cong :premises (@p4073 @p4054) :args (@t2675)) % 0.93/1.18 (step @p4075 :rule aci_norm :args ((= (or false @t1464) @t1464))) % 0.93/1.18 (step @p4076 :rule refl :args (@t1464)) % 0.93/1.18 (step @p4077 :rule nary_cong :premises (@p1384 @p4076) :args (@t2676)) % 0.93/1.18 (step @p4078 :rule trans :premises (@p4077 @p4075)) % 0.93/1.18 (step @p4079 :rule cong :premises (@p4078) :args ((forall @t70 @t2676))) % 0.93/1.18 (step @p4080 :rule quant-var-elim-eq :args ((= (forall @t9 @t2677) @t2676))) % 0.93/1.18 (step @p4081 :rule aci_norm :args ((= @t2678 @t2677))) % 0.93/1.18 (step @p4082 :rule cong :premises (@p4081) :args (@t2679)) % 0.93/1.18 (step @p4083 :rule trans :premises (@p4082 @p4080)) % 0.93/1.18 (step @p4084 :rule cong :premises (@p4083) :args (@t2680)) % 0.93/1.18 (step @p4085 :rule quant-merge-prenex :args ((= @t2680 @t2681))) % 0.93/1.18 (step @p4086 :rule symm :premises (@p4085)) % 0.93/1.18 (step @p4087 :rule quant_var_reordering :args ((= (forall @t135 @t2678) @t2681))) % 0.93/1.18 (step @p4088 :rule trans :premises (@p4087 @p4086 @p4084)) % 0.93/1.18 (step @p4089 :rule trans :premises (@p4088 @p4079)) % 0.93/1.18 (step @p4090 :rule nary_cong :premises (@p1409 @p3920) :args (@t2620)) % 0.93/1.18 (step @p4091 :rule cong :premises (@p4090) :args ((forall @t135 @t2620))) % 0.93/1.18 (step @p4092 :rule trans :premises (@p4091 @p4089)) % 0.93/1.18 (step @p4093 :rule cong :premises (@p3925) :args (@t374)) % 0.93/1.18 (step @p4094 :rule trans :premises (@p4093 @p4092)) % 0.93/1.18 (step @p4095 :rule cong :premises (@p4094 @p4074) :args (@t2682)) % 0.93/1.18 (step @p4096 :rule cong :premises (@p4095) :args (@t2683)) % 0.93/1.18 (step @p4097 :rule trans :premises (@p4096 @p4031)) % 0.93/1.18 (step @p4098 :rule refl :args (tptp.descr__Cong)) % 0.93/1.18 (step @p4099 :rule cong :premises (@p4098 @p4097) :args ((= tptp.descr__Cong @t2683))) % 0.93/1.18 (step @p4100 :rule refl :args (@t368)) % 0.93/1.18 (step @p4101 :rule bool-and-de-morgan :args (@t144 @t1482 true)) % 0.93/1.18 (step @p4102 :rule cong :premises (@p4101) :args (@t2685)) % 0.93/1.18 (step @p4103 :rule trans :premises (@p4102 @p4057)) % 0.93/1.18 (step @p4104 :rule cong :premises (@p4103) :args (@t2686)) % 0.93/1.18 (step @p4105 :rule exists-elim :args ((= (exists @t9 @t2684) @t2686))) % 0.93/1.18 (step @p4106 :rule trans :premises (@p4105 @p4104)) % 0.93/1.18 (step @p4107 :rule cong :premises (@p1810) :args (@t167)) % 0.93/1.18 (step @p4108 :rule trans :premises (@p4107 @p4059)) % 0.93/1.18 (step @p4109 :rule nary_cong :premises (@p1924 @p4108) :args (@t168)) % 0.93/1.18 (step @p4110 :rule cong :premises (@p4109) :args (@t169)) % 0.93/1.18 (step @p4111 :rule trans :premises (@p4110 @p4106)) % 0.93/1.18 (step @p4112 :rule cong :premises (@p4111) :args (@t1069)) % 0.93/1.18 (step @p4113 :rule trans :premises (@p191 @p4112)) % 0.93/1.18 (step @p4114 :rule ho_cong :premises (@p4113 @p4100)) % 0.93/1.18 (step @p4115 :rule cong :premises (@p4114 @p4032) :args (@t403)) % 0.93/1.18 (step @p4116 :rule ho_cong :premises (@p4113 @p1747)) % 0.93/1.18 (step @p4117 :rule cong :premises (@p4116 @p4115) :args (@t404)) % 0.93/1.18 (step @p4118 :rule refl :args (@t374)) % 0.93/1.18 (step @p4119 :rule cong :premises (@p4118 @p4117) :args (@t405)) % 0.93/1.18 (step @p4120 :rule cong :premises (@p4119) :args (@t406)) % 0.93/1.18 (step @p4121 :rule cong :premises (@p4098 @p4120) :args (@t407)) % 0.93/1.18 (step @p4122 :rule trans :premises (@p4121 @p4099)) % 0.93/1.18 (step @p4123 :rule eq_resolve :premises (@p74 @p4122)) % 0.93/1.18 (step @p4124 :rule cong :premises (@p4123 @p3945) :args (@t2687)) % 0.93/1.18 (step @p4125 :rule refl :args (@t1471)) % 0.93/1.18 (step @p4126 :rule refl :args (@t1472)) % 0.93/1.18 (step @p4127 :rule refl :args (@t1473)) % 0.93/1.18 (step @p4128 :rule eq-symm :args (@t1474 @t19)) % 0.93/1.18 (step @p4129 :rule nary_cong :premises (@p3953 @p4128) :args (@t2688)) % 0.93/1.18 (step @p4130 :rule cong :premises (@p4129) :args (@t2689)) % 0.93/1.18 (step @p4131 :rule cong :premises (@p4130) :args (@t2690)) % 0.93/1.18 (step @p4132 :rule refl :args (@t1475)) % 0.93/1.18 (step @p4133 :rule nary_cong :premises (@p4132 @p4131 @p4127 @p4126 @p4125) :args (@t2691)) % 0.93/1.18 (step @p4134 :rule aci_norm :args ((= @t2694 @t2691))) % 0.93/1.18 (step @p4135 :rule trans :premises (@p4134 @p4133)) % 0.93/1.18 (step @p4136 :rule cong :premises (@p4135) :args (@t2695)) % 0.93/1.18 (step @p4137 :rule quant-merge-prenex :args ((= (forall @t150 @t2696) @t2695))) % 0.93/1.18 (step @p4138 :rule alpha_equiv :args (@t2697 (@list @t1470 @t1469) (@list @t4 @t19))) % 0.93/1.18 (step @p4139 :rule alpha_equiv :args (@t2698 (@list @t1474) @t2008)) % 0.93/1.18 (step @p4140 :rule nary_cong :premises (@p4139 @p4138) :args (@t2699)) % 0.93/1.18 (step @p4141 :rule quant-miniscope-or :args ((= @t2696 @t2699))) % 0.93/1.18 (step @p4142 :rule trans :premises (@p4141 @p4140)) % 0.93/1.18 (step @p4143 :rule symm :premises (@p4142)) % 0.93/1.18 (step @p4144 :rule cong :premises (@p4143) :args ((forall @t150 (or @t1484 @t1491)))) % 0.93/1.18 (step @p4145 :rule trans :premises (@p4144 @p4137)) % 0.93/1.18 (step @p4146 :rule trans :premises (@p4145 @p4136)) % 0.93/1.18 (step @p4147 :rule refl :args (@t1491)) % 0.93/1.18 (step @p4148 :rule nary_cong :premises (@p4021 @p4147) :args ((or @t2644 @t1491))) % 0.93/1.18 (step @p4149 :rule bool-impl-elim :args (@t1485 @t1491)) % 0.93/1.18 (step @p4150 :rule trans :premises (@p4149 @p4148)) % 0.93/1.18 (step @p4151 :rule cong :premises (@p4150) :args ((forall @t150 (=> @t1485 @t1491)))) % 0.93/1.18 (step @p4152 :rule trans :premises (@p4151 @p4146)) % 0.93/1.18 (step @p4153 :rule nary_cong :premises (@p1756 @p1792 @p1331) :args (@t2197)) % 0.93/1.18 (step @p4154 :rule cong :premises (@p4153) :args ((forall @t135 @t2197))) % 0.93/1.18 (step @p4155 :rule cong :premises (@p1815) :args (@t344)) % 0.93/1.18 (step @p4156 :rule trans :premises (@p4155 @p4154)) % 0.93/1.18 (step @p4157 :rule cong :premises (@p4073 @p4156) :args (@t2700)) % 0.93/1.18 (step @p4158 :rule cong :premises (@p4157) :args (@t2701)) % 0.93/1.18 (step @p4159 :rule trans :premises (@p4158 @p4152)) % 0.93/1.18 (step @p4160 :rule refl :args (tptp.exuEu)) % 0.93/1.18 (step @p4161 :rule cong :premises (@p4160 @p4159) :args ((= tptp.exuEu @t2701))) % 0.93/1.18 (step @p4162 :rule refl :args (@t344)) % 0.93/1.18 (step @p4163 :rule cong :premises (@p4116 @p4162) :args (@t363)) % 0.93/1.18 (step @p4164 :rule cong :premises (@p4163) :args (@t364)) % 0.93/1.18 (step @p4165 :rule cong :premises (@p4160 @p4164) :args (@t400)) % 0.93/1.18 (step @p4166 :rule trans :premises (@p4165 @p4161)) % 0.93/1.18 (step @p4167 :rule eq_resolve :premises (@p73 @p4166)) % 0.93/1.18 (step @p4168 :rule cong :premises (@p4167 @p4124) :args (@t2702)) % 0.93/1.18 (step @p4169 :rule bool-eq-true :args (tptp.omega__Cong)) % 0.93/1.18 (step @p4170 :rule symm :premises (@p4169)) % 0.93/1.18 (step @p4171 :rule eq-refl :args (tptp.omega)) % 0.93/1.18 (step @p4172 :rule refl :args (tptp.omega__Cong)) % 0.93/1.18 (step @p4173 :rule cong :premises (@p4172 @p4171) :args (@t399)) % 0.93/1.18 (step @p4174 :rule trans :premises (@p4173 @p4169)) % 0.93/1.18 (step @p4175 :rule eq_resolve :premises (@p72 @p4174)) % 0.93/1.18 (step @p4176 :rule eq_resolve :premises (@p4175 @p4170)) % 0.93/1.18 (step @p4177 :rule cong :premises (@p4176 @p4168) :args (@t2703)) % 0.93/1.18 (step @p4178 :rule bool-eq-true :args (tptp.setunion__Cong)) % 0.93/1.18 (step @p4179 :rule symm :premises (@p4178)) % 0.93/1.18 (step @p4180 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 0.93/1.18 (step @p4181 :rule evaluate :args ((or false true))) % 0.93/1.18 (step @p4182 :rule eq-refl :args (@t2704)) % 0.93/1.18 (step @p4183 :rule nary_cong :premises (@p3638 @p4182) :args (@t2705)) % 0.93/1.18 (step @p4184 :rule trans :premises (@p4183 @p4181)) % 0.93/1.18 (step @p4185 :rule cong :premises (@p4184) :args ((forall @t41 @t2705))) % 0.93/1.18 (step @p4186 :rule trans :premises (@p4185 @p4180)) % 0.93/1.18 (step @p4187 :rule quant-var-elim-eq :args ((= (forall @t64 @t2707) @t2705))) % 0.93/1.18 (step @p4188 :rule aci_norm :args ((= @t2708 @t2707))) % 0.93/1.18 (step @p4189 :rule cong :premises (@p4188) :args (@t2709)) % 0.93/1.18 (step @p4190 :rule trans :premises (@p4189 @p4187)) % 0.93/1.18 (step @p4191 :rule cong :premises (@p4190) :args (@t2710)) % 0.93/1.18 (step @p4192 :rule quant-merge-prenex :args ((= @t2710 @t2711))) % 0.93/1.18 (step @p4193 :rule symm :premises (@p4192)) % 0.93/1.18 (step @p4194 :rule quant_var_reordering :args ((= (forall @t12 @t2708) @t2711))) % 0.93/1.18 (step @p4195 :rule trans :premises (@p4194 @p4193 @p4191)) % 0.93/1.18 (step @p4196 :rule trans :premises (@p4195 @p4186)) % 0.93/1.18 (step @p4197 :rule refl :args (@t2704)) % 0.93/1.18 (step @p4198 :rule refl :args (@t395)) % 0.93/1.18 (step @p4199 :rule cong :premises (@p4198 @p4197) :args ((= @t395 @t2704))) % 0.93/1.18 (step @p4200 :rule symm :premises (@p4199)) % 0.93/1.18 (step @p4201 :rule eq_resolve :premises (@p4198 @p4200)) % 0.93/1.18 (step @p4202 :rule cong :premises (@p2120 @p4201) :args (@t396)) % 0.93/1.18 (step @p4203 :rule nary_cong :premises (@p3653 @p4202) :args (@t2712)) % 0.93/1.18 (step @p4204 :rule cong :premises (@p4203) :args ((forall @t12 @t2712))) % 0.93/1.18 (step @p4205 :rule trans :premises (@p4204 @p4196)) % 0.93/1.18 (step @p4206 :rule bool-impl-elim :args (@t3 @t396)) % 0.93/1.18 (step @p4207 :rule cong :premises (@p4206) :args (@t397)) % 0.93/1.18 (step @p4208 :rule trans :premises (@p4207 @p4205)) % 0.93/1.18 (step @p4209 :rule refl :args (tptp.setunion__Cong)) % 0.93/1.18 (step @p4210 :rule cong :premises (@p4209 @p4208) :args (@t398)) % 0.93/1.18 (step @p4211 :rule trans :premises (@p4210 @p4178)) % 0.93/1.18 (step @p4212 :rule eq_resolve :premises (@p71 @p4211)) % 0.93/1.18 (step @p4213 :rule eq_resolve :premises (@p4212 @p4179)) % 0.93/1.18 (step @p4214 :rule cong :premises (@p4213 @p4177) :args (@t2713)) % 0.93/1.18 (step @p4215 :rule bool-eq-true :args (tptp.powerset__Cong)) % 0.93/1.18 (step @p4216 :rule symm :premises (@p4215)) % 0.93/1.18 (step @p4217 :rule eq-refl :args (@t1410)) % 0.93/1.18 (step @p4218 :rule nary_cong :premises (@p3638 @p4217) :args (@t2714)) % 0.93/1.18 (step @p4219 :rule trans :premises (@p4218 @p4181)) % 0.93/1.18 (step @p4220 :rule cong :premises (@p4219) :args ((forall @t41 @t2714))) % 0.93/1.18 (step @p4221 :rule trans :premises (@p4220 @p4180)) % 0.93/1.18 (step @p4222 :rule quant-var-elim-eq :args ((= (forall @t64 @t2716) @t2714))) % 0.93/1.18 (step @p4223 :rule aci_norm :args ((= @t2717 @t2716))) % 0.93/1.18 (step @p4224 :rule cong :premises (@p4223) :args (@t2718)) % 0.93/1.18 (step @p4225 :rule trans :premises (@p4224 @p4222)) % 0.93/1.18 (step @p4226 :rule cong :premises (@p4225) :args (@t2719)) % 0.93/1.18 (step @p4227 :rule quant-merge-prenex :args ((= @t2719 @t2720))) % 0.93/1.18 (step @p4228 :rule symm :premises (@p4227)) % 0.93/1.18 (step @p4229 :rule quant_var_reordering :args ((= (forall @t12 @t2717) @t2720))) % 0.93/1.18 (step @p4230 :rule trans :premises (@p4229 @p4228 @p4226)) % 0.93/1.18 (step @p4231 :rule trans :premises (@p4230 @p4221)) % 0.93/1.18 (step @p4232 :rule cong :premises (@p2548 @p3440) :args (@t392)) % 0.93/1.18 (step @p4233 :rule nary_cong :premises (@p3653 @p4232) :args (@t2721)) % 0.93/1.18 (step @p4234 :rule cong :premises (@p4233) :args ((forall @t12 @t2721))) % 0.93/1.18 (step @p4235 :rule trans :premises (@p4234 @p4231)) % 0.93/1.18 (step @p4236 :rule bool-impl-elim :args (@t3 @t392)) % 0.93/1.18 (step @p4237 :rule cong :premises (@p4236) :args (@t393)) % 0.93/1.18 (step @p4238 :rule trans :premises (@p4237 @p4235)) % 0.93/1.18 (step @p4239 :rule refl :args (tptp.powerset__Cong)) % 0.93/1.18 (step @p4240 :rule cong :premises (@p4239 @p4238) :args (@t394)) % 0.93/1.18 (step @p4241 :rule trans :premises (@p4240 @p4215)) % 0.93/1.18 (step @p4242 :rule eq_resolve :premises (@p70 @p4241)) % 0.93/1.18 (step @p4243 :rule eq_resolve :premises (@p4242 @p4216)) % 0.93/1.18 (step @p4244 :rule cong :premises (@p4243 @p4214) :args (@t2722)) % 0.93/1.18 (step @p4245 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 0.93/1.18 (step @p4246 :rule symm :premises (@p4245)) % 0.93/1.18 (step @p4247 :rule quant-unused-vars :args ((= (forall @t2724 true) true))) % 0.93/1.18 (step @p4248 :rule eq-refl :args (@t2725)) % 0.93/1.18 (step @p4249 :rule nary_cong :premises (@p1384 @p4248) :args (@t2726)) % 0.93/1.18 (step @p4250 :rule trans :premises (@p4249 @p4181)) % 0.93/1.18 (step @p4251 :rule cong :premises (@p4250) :args ((forall @t2724 @t2726))) % 0.93/1.18 (step @p4252 :rule trans :premises (@p4251 @p4247)) % 0.93/1.18 (step @p4253 :rule quant-var-elim-eq :args ((= (forall @t9 @t2728) @t2726))) % 0.93/1.18 (step @p4254 :rule aci_norm :args ((= @t2729 @t2728))) % 0.93/1.18 (step @p4255 :rule cong :premises (@p4254) :args (@t2730)) % 0.93/1.18 (step @p4256 :rule trans :premises (@p4255 @p4253)) % 0.93/1.18 (step @p4257 :rule cong :premises (@p4256) :args (@t2731)) % 0.93/1.18 (step @p4258 :rule quant-merge-prenex :args ((= @t2731 @t2732))) % 0.93/1.18 (step @p4259 :rule symm :premises (@p4258)) % 0.93/1.18 (step @p4260 :rule quant_var_reordering :args ((= @t2733 @t2732))) % 0.93/1.18 (step @p4261 :rule trans :premises (@p4260 @p4259 @p4257)) % 0.93/1.18 (step @p4262 :rule trans :premises (@p4261 @p4252)) % 0.93/1.18 (step @p4263 :rule quant-merge-prenex :args ((= (forall @t135 @t2735) @t2733))) % 0.93/1.18 (step @p4264 :rule alpha_equiv :args (@t2736 (@list @t2723) (@list @t381))) % 0.93/1.18 (step @p4265 :rule nary_cong :premises (@p1409 @p4264) :args (@t2737)) % 0.93/1.18 (step @p4266 :rule quant-miniscope-or :args ((= @t2735 @t2737))) % 0.93/1.18 (step @p4267 :rule trans :premises (@p4266 @p4265)) % 0.93/1.18 (step @p4268 :rule symm :premises (@p4267)) % 0.93/1.18 (step @p4269 :rule cong :premises (@p4268) :args ((forall @t135 (or @t282 @t2741)))) % 0.93/1.18 (step @p4270 :rule trans :premises (@p4269 @p4263)) % 0.93/1.18 (step @p4271 :rule trans :premises (@p4270 @p4262)) % 0.93/1.18 (step @p4272 :rule bool-impl-elim :args (@t129 @t2741)) % 0.93/1.18 (step @p4273 :rule cong :premises (@p4272) :args ((forall @t135 (=> @t129 @t2741)))) % 0.93/1.18 (step @p4274 :rule trans :premises (@p4273 @p4271)) % 0.93/1.18 (step @p4275 :rule aci_norm :args ((= (or false @t2740) @t2740))) % 0.93/1.18 (step @p4276 :rule eq-symm :args (@t2738 @t2739)) % 0.93/1.18 (step @p4277 :rule nary_cong :premises (@p1348 @p4276) :args (@t2742)) % 0.93/1.18 (step @p4278 :rule trans :premises (@p4277 @p4275)) % 0.93/1.18 (step @p4279 :rule cong :premises (@p4278) :args ((forall @t750 @t2742))) % 0.93/1.18 (step @p4280 :rule quant-var-elim-eq :args ((= (forall @t2044 @t2745) @t2742))) % 0.93/1.18 (step @p4281 :rule aci_norm :args ((= @t2746 @t2745))) % 0.93/1.18 (step @p4282 :rule cong :premises (@p4281) :args (@t2747)) % 0.93/1.18 (step @p4283 :rule trans :premises (@p4282 @p4280)) % 0.93/1.18 (step @p4284 :rule cong :premises (@p4283) :args (@t2748)) % 0.93/1.18 (step @p4285 :rule quant-merge-prenex :args ((= @t2748 @t2749))) % 0.93/1.18 (step @p4286 :rule symm :premises (@p4285)) % 0.93/1.18 (step @p4287 :rule quant_var_reordering :args ((= (forall @t386 @t2746) @t2749))) % 0.93/1.18 (step @p4288 :rule trans :premises (@p4287 @p4286 @p4284)) % 0.93/1.18 (step @p4289 :rule trans :premises (@p4288 @p4279)) % 0.93/1.18 (step @p4290 :rule refl :args (@t2739)) % 0.93/1.18 (step @p4291 :rule refl :args (@t382)) % 0.93/1.18 (step @p4292 :rule cong :premises (@p4291 @p4290) :args ((= @t382 @t2739))) % 0.93/1.18 (step @p4293 :rule symm :premises (@p4292)) % 0.93/1.18 (step @p4294 :rule eq_resolve :premises (@p4291 @p4293)) % 0.93/1.18 (step @p4295 :rule refl :args (@t2743)) % 0.93/1.18 (step @p4296 :rule refl :args (@t383)) % 0.93/1.18 (step @p4297 :rule cong :premises (@p4296 @p4295) :args ((= @t383 @t2743))) % 0.93/1.18 (step @p4298 :rule symm :premises (@p4297)) % 0.93/1.18 (step @p4299 :rule eq_resolve :premises (@p4296 @p4298)) % 0.93/1.18 (step @p4300 :rule cong :premises (@p4299 @p4294) :args (@t384)) % 0.93/1.18 (step @p4301 :rule nary_cong :premises (@p1363 @p4300) :args (@t2750)) % 0.93/1.18 (step @p4302 :rule cong :premises (@p4301) :args ((forall @t386 @t2750))) % 0.93/1.18 (step @p4303 :rule trans :premises (@p4302 @p4289)) % 0.93/1.18 (step @p4304 :rule bool-impl-elim :args (@t385 @t384)) % 0.93/1.18 (step @p4305 :rule cong :premises (@p4304) :args (@t387)) % 0.93/1.18 (step @p4306 :rule trans :premises (@p4305 @p4303)) % 0.93/1.18 (step @p4307 :rule cong :premises (@p1443 @p4306) :args (@t388)) % 0.93/1.18 (step @p4308 :rule cong :premises (@p4307) :args (@t389)) % 0.93/1.18 (step @p4309 :rule trans :premises (@p4308 @p4274)) % 0.93/1.18 (step @p4310 :rule refl :args (tptp.setadjoin__Cong)) % 0.93/1.18 (step @p4311 :rule cong :premises (@p4310 @p4309) :args (@t390)) % 0.93/1.18 (step @p4312 :rule trans :premises (@p4311 @p4245)) % 0.93/1.18 (step @p4313 :rule eq_resolve :premises (@p69 @p4312)) % 0.93/1.18 (step @p4314 :rule eq_resolve :premises (@p4313 @p4246)) % 0.93/1.18 (step @p4315 :rule cong :premises (@p4314 @p4244) :args (@t2751)) % 0.93/1.18 (step @p4316 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 0.93/1.18 (step @p4317 :rule symm :premises (@p4316)) % 0.93/1.18 (step @p4318 :rule eq-refl :args (tptp.emptyset)) % 0.93/1.18 (step @p4319 :rule refl :args (tptp.emptyset__Cong)) % 0.93/1.18 (step @p4320 :rule cong :premises (@p4319 @p4318) :args (@t380)) % 0.93/1.18 (step @p4321 :rule trans :premises (@p4320 @p4316)) % 0.93/1.18 (step @p4322 :rule eq_resolve :premises (@p68 @p4321)) % 0.93/1.18 (step @p4323 :rule eq_resolve :premises (@p4322 @p4317)) % 0.93/1.18 (step @p4324 :rule cong :premises (@p4323 @p4315) :args (@t2752)) % 0.93/1.18 (step @p4325 :rule bool-impl-elim :args (@t1465 @t1486)) % 0.93/1.18 (step @p4326 :rule cong :premises (@p4325) :args ((forall @t376 (=> @t1465 @t1486)))) % 0.93/1.18 (step @p4327 :rule cong :premises (@p4073 @p4053) :args (@t2753)) % 0.93/1.18 (step @p4328 :rule cong :premises (@p4094 @p4327) :args (@t2754)) % 0.93/1.18 (step @p4329 :rule cong :premises (@p4328) :args (@t2755)) % 0.93/1.18 (step @p4330 :rule trans :premises (@p4329 @p4326)) % 0.93/1.18 (step @p4331 :rule refl :args (tptp.exu__Cong)) % 0.93/1.18 (step @p4332 :rule cong :premises (@p4331 @p4330) :args ((= tptp.exu__Cong @t2755))) % 0.93/1.18 (step @p4333 :rule cong :premises (@p4116 @p4114) :args (@t370)) % 0.93/1.18 (step @p4334 :rule cong :premises (@p4118 @p4333) :args (@t375)) % 0.93/1.18 (step @p4335 :rule cong :premises (@p4334) :args (@t377)) % 0.93/1.18 (step @p4336 :rule cong :premises (@p4331 @p4335) :args (@t378)) % 0.93/1.18 (step @p4337 :rule trans :premises (@p4336 @p4332)) % 0.93/1.18 (step @p4338 :rule eq_resolve :premises (@p67 @p4337)) % 0.93/1.18 (step @p4339 :rule cong :premises (@p4338 @p4324) :args (@t2756)) % 0.93/1.18 (step @p4340 :rule refl :args (tptp.exuE3u)) % 0.93/1.18 (step @p4341 :rule cong :premises (@p4340 @p4159) :args ((= tptp.exuE3u @t2701))) % 0.93/1.18 (step @p4342 :rule cong :premises (@p4340 @p4164) :args (@t365)) % 0.93/1.18 (step @p4343 :rule trans :premises (@p4342 @p4341)) % 0.93/1.18 (step @p4344 :rule eq_resolve :premises (@p66 @p4343)) % 0.93/1.18 (step @p4345 :rule cong :premises (@p4344 @p4339) :args (@t2757)) % 0.93/1.18 (step @p4346 :rule bool-eq-true :args (tptp.in__Cong)) % 0.93/1.18 (step @p4347 :rule symm :premises (@p4346)) % 0.93/1.18 (step @p4348 :rule quant-unused-vars :args ((= (forall @t2759 true) true))) % 0.93/1.18 (step @p4349 :rule eq-refl :args (@t2760)) % 0.93/1.18 (step @p4350 :rule nary_cong :premises (@p3638 @p4349) :args (@t2761)) % 0.93/1.18 (step @p4351 :rule trans :premises (@p4350 @p4181)) % 0.93/1.18 (step @p4352 :rule cong :premises (@p4351) :args ((forall @t2759 @t2761))) % 0.93/1.18 (step @p4353 :rule trans :premises (@p4352 @p4348)) % 0.93/1.18 (step @p4354 :rule quant-var-elim-eq :args ((= (forall @t64 @t2763) @t2761))) % 0.93/1.18 (step @p4355 :rule aci_norm :args ((= @t2764 @t2763))) % 0.93/1.18 (step @p4356 :rule cong :premises (@p4355) :args (@t2765)) % 0.93/1.18 (step @p4357 :rule trans :premises (@p4356 @p4354)) % 0.93/1.18 (step @p4358 :rule cong :premises (@p4357) :args (@t2766)) % 0.93/1.18 (step @p4359 :rule quant-merge-prenex :args ((= @t2766 @t2767))) % 0.93/1.18 (step @p4360 :rule symm :premises (@p4359)) % 0.93/1.18 (step @p4361 :rule quant_var_reordering :args ((= @t2768 @t2767))) % 0.93/1.18 (step @p4362 :rule trans :premises (@p4361 @p4360 @p4358)) % 0.93/1.18 (step @p4363 :rule trans :premises (@p4362 @p4353)) % 0.93/1.18 (step @p4364 :rule quant-merge-prenex :args ((= (forall @t12 @t2770) @t2768))) % 0.93/1.18 (step @p4365 :rule alpha_equiv :args (@t2771 (@list @t2758) @t1924)) % 0.93/1.18 (step @p4366 :rule nary_cong :premises (@p3653 @p4365) :args (@t2772)) % 0.93/1.18 (step @p4367 :rule quant-miniscope-or :args ((= @t2770 @t2772))) % 0.93/1.18 (step @p4368 :rule trans :premises (@p4367 @p4366)) % 0.93/1.18 (step @p4369 :rule symm :premises (@p4368)) % 0.93/1.18 (step @p4370 :rule cong :premises (@p4369) :args ((forall @t12 (or @t443 @t2774)))) % 0.93/1.18 (step @p4371 :rule trans :premises (@p4370 @p4364)) % 0.93/1.18 (step @p4372 :rule trans :premises (@p4371 @p4363)) % 0.93/1.18 (step @p4373 :rule bool-impl-elim :args (@t3 @t2774)) % 0.93/1.18 (step @p4374 :rule cong :premises (@p4373) :args ((forall @t12 (=> @t3 @t2774)))) % 0.93/1.18 (step @p4375 :rule trans :premises (@p4374 @p4372)) % 0.93/1.18 (step @p4376 :rule aci_norm :args ((= (or false @t2773) @t2773))) % 0.93/1.18 (step @p4377 :rule refl :args (@t2773)) % 0.93/1.18 (step @p4378 :rule nary_cong :premises (@p1384 @p4377) :args (@t2775)) % 0.93/1.18 (step @p4379 :rule trans :premises (@p4378 @p4376)) % 0.93/1.18 (step @p4380 :rule cong :premises (@p4379) :args ((forall @t70 @t2775))) % 0.93/1.18 (step @p4381 :rule quant-var-elim-eq :args ((= (forall @t9 @t2777) @t2775))) % 0.93/1.18 (step @p4382 :rule aci_norm :args ((= @t2778 @t2777))) % 0.93/1.18 (step @p4383 :rule cong :premises (@p4382) :args (@t2779)) % 0.93/1.18 (step @p4384 :rule trans :premises (@p4383 @p4381)) % 0.93/1.18 (step @p4385 :rule cong :premises (@p4384) :args (@t2780)) % 0.93/1.18 (step @p4386 :rule quant-merge-prenex :args ((= @t2780 @t2781))) % 0.93/1.18 (step @p4387 :rule symm :premises (@p4386)) % 0.93/1.18 (step @p4388 :rule quant_var_reordering :args ((= (forall @t135 @t2778) @t2781))) % 0.93/1.18 (step @p4389 :rule trans :premises (@p4388 @p4387 @p4385)) % 0.93/1.18 (step @p4390 :rule trans :premises (@p4389 @p4380)) % 0.93/1.18 (step @p4391 :rule cong :premises (@p723 @p705) :args (@t358)) % 0.93/1.18 (step @p4392 :rule nary_cong :premises (@p1409 @p4391) :args (@t2782)) % 0.93/1.18 (step @p4393 :rule cong :premises (@p4392) :args ((forall @t135 @t2782))) % 0.93/1.18 (step @p4394 :rule trans :premises (@p4393 @p4390)) % 0.93/1.18 (step @p4395 :rule bool-impl-elim :args (@t129 @t358)) % 0.93/1.18 (step @p4396 :rule cong :premises (@p4395) :args (@t359)) % 0.93/1.18 (step @p4397 :rule trans :premises (@p4396 @p4394)) % 0.93/1.18 (step @p4398 :rule cong :premises (@p3938 @p4397) :args (@t360)) % 0.93/1.18 (step @p4399 :rule cong :premises (@p4398) :args (@t361)) % 0.93/1.18 (step @p4400 :rule trans :premises (@p4399 @p4375)) % 0.93/1.18 (step @p4401 :rule refl :args (tptp.in__Cong)) % 0.93/1.18 (step @p4402 :rule cong :premises (@p4401 @p4400) :args (@t362)) % 0.93/1.18 (step @p4403 :rule trans :premises (@p4402 @p4346)) % 0.93/1.18 (step @p4404 :rule eq_resolve :premises (@p65 @p4403)) % 0.93/1.18 (step @p4405 :rule eq_resolve :premises (@p4404 @p4347)) % 0.93/1.18 (step @p4406 :rule cong :premises (@p4405 @p4345) :args (@t2783)) % 0.93/1.18 (step @p4407 :rule bool-eq-true :args (tptp.inCongP)) % 0.93/1.18 (step @p4408 :rule symm :premises (@p4407)) % 0.93/1.18 (step @p4409 :rule quant-unused-vars :args ((= (forall @t2785 true) true))) % 0.93/1.18 (step @p4410 :rule bool-or-taut2 :args (false @t2786 false false)) % 0.93/1.18 (step @p4411 :rule cong :premises (@p4410) :args ((forall @t2785 @t2788))) % 0.93/1.18 (step @p4412 :rule trans :premises (@p4411 @p4409)) % 0.93/1.18 (step @p4413 :rule aci_norm :args ((= (or false @t2787 @t2786) @t2788))) % 0.93/1.18 (step @p4414 :rule refl :args (@t2786)) % 0.93/1.18 (step @p4415 :rule refl :args (@t2787)) % 0.93/1.18 (step @p4416 :rule nary_cong :premises (@p3638 @p4415 @p4414) :args (@t2789)) % 0.93/1.18 (step @p4417 :rule trans :premises (@p4416 @p4413)) % 0.93/1.18 (step @p4418 :rule cong :premises (@p4417) :args ((forall @t2785 @t2789))) % 0.93/1.18 (step @p4419 :rule trans :premises (@p4418 @p4412)) % 0.93/1.18 (step @p4420 :rule quant-var-elim-eq :args ((= (forall @t64 @t2791) @t2789))) % 0.93/1.18 (step @p4421 :rule aci_norm :args ((= @t2792 @t2791))) % 0.93/1.18 (step @p4422 :rule cong :premises (@p4421) :args (@t2793)) % 0.93/1.18 (step @p4423 :rule trans :premises (@p4422 @p4420)) % 0.93/1.18 (step @p4424 :rule cong :premises (@p4423) :args (@t2794)) % 0.93/1.18 (step @p4425 :rule quant-merge-prenex :args ((= @t2794 @t2795))) % 0.93/1.18 (step @p4426 :rule symm :premises (@p4425)) % 0.93/1.18 (step @p4427 :rule quant_var_reordering :args ((= (forall @t2796 @t2792) @t2795))) % 0.93/1.18 (step @p4428 :rule trans :premises (@p4427 @p4426 @p4424)) % 0.93/1.18 (step @p4429 :rule trans :premises (@p4428 @p4419)) % 0.93/1.18 (step @p4430 :rule aci_norm :args ((= @t2798 @t2792))) % 0.93/1.18 (step @p4431 :rule cong :premises (@p4430) :args (@t2799)) % 0.93/1.18 (step @p4432 :rule trans :premises (@p4431 @p4429)) % 0.93/1.18 (step @p4433 :rule quant-merge-prenex :args ((= (forall @t12 @t2801) @t2799))) % 0.93/1.18 (step @p4434 :rule alpha_equiv :args (@t2802 (@list @t2784) @t1924)) % 0.93/1.18 (step @p4435 :rule nary_cong :premises (@p3653 @p4434) :args (@t2803)) % 0.93/1.18 (step @p4436 :rule quant-miniscope-or :args ((= @t2801 @t2803))) % 0.93/1.18 (step @p4437 :rule trans :premises (@p4436 @p4435)) % 0.93/1.18 (step @p4438 :rule symm :premises (@p4437)) % 0.93/1.18 (step @p4439 :rule cong :premises (@p4438) :args ((forall @t12 (or @t443 @t2805)))) % 0.93/1.18 (step @p4440 :rule trans :premises (@p4439 @p4433)) % 0.93/1.18 (step @p4441 :rule trans :premises (@p4440 @p4432)) % 0.93/1.18 (step @p4442 :rule bool-impl-elim :args (@t3 @t2805)) % 0.93/1.18 (step @p4443 :rule cong :premises (@p4442) :args ((forall @t12 (=> @t3 @t2805)))) % 0.93/1.18 (step @p4444 :rule trans :premises (@p4443 @p4441)) % 0.93/1.18 (step @p4445 :rule aci_norm :args ((= (or false @t1245 @t1114) @t2804))) % 0.93/1.18 (step @p4446 :rule refl :args (@t1245)) % 0.93/1.18 (step @p4447 :rule nary_cong :premises (@p1384 @p4446 @p698) :args (@t2806)) % 0.93/1.18 (step @p4448 :rule trans :premises (@p4447 @p4445)) % 0.93/1.18 (step @p4449 :rule cong :premises (@p4448) :args ((forall @t70 @t2806))) % 0.93/1.18 (step @p4450 :rule quant-var-elim-eq :args ((= (forall @t9 @t2807) @t2806))) % 0.93/1.18 (step @p4451 :rule aci_norm :args ((= @t2808 @t2807))) % 0.93/1.18 (step @p4452 :rule cong :premises (@p4451) :args (@t2809)) % 0.93/1.18 (step @p4453 :rule trans :premises (@p4452 @p4450)) % 0.93/1.18 (step @p4454 :rule cong :premises (@p4453) :args (@t2810)) % 0.93/1.18 (step @p4455 :rule quant-merge-prenex :args ((= @t2810 @t2811))) % 0.93/1.18 (step @p4456 :rule symm :premises (@p4455)) % 0.93/1.18 (step @p4457 :rule quant_var_reordering :args ((= (forall @t135 @t2808) @t2811))) % 0.93/1.18 (step @p4458 :rule trans :premises (@p4457 @p4456 @p4454)) % 0.93/1.18 (step @p4459 :rule trans :premises (@p4458 @p4449)) % 0.93/1.18 (step @p4460 :rule nary_cong :premises (@p1409 @p747 @p705) :args (@t2812)) % 0.93/1.18 (step @p4461 :rule cong :premises (@p4460) :args ((forall @t135 @t2812))) % 0.93/1.18 (step @p4462 :rule trans :premises (@p4461 @p4459)) % 0.93/1.18 (step @p4463 :rule aci_norm :args ((= (or @t282 (or @t197 @t352)) @t2812))) % 0.93/1.18 (step @p4464 :rule bool-impl-elim :args (@t7 @t352)) % 0.93/1.18 (step @p4465 :rule nary_cong :premises (@p1409 @p4464) :args ((or @t282 @t353))) % 0.93/1.18 (step @p4466 :rule trans :premises (@p4465 @p4463)) % 0.93/1.18 (step @p4467 :rule bool-impl-elim :args (@t129 @t353)) % 0.93/1.18 (step @p4468 :rule trans :premises (@p4467 @p4466)) % 0.93/1.18 (step @p4469 :rule cong :premises (@p4468) :args (@t354)) % 0.93/1.18 (step @p4470 :rule trans :premises (@p4469 @p4462)) % 0.93/1.18 (step @p4471 :rule cong :premises (@p3938 @p4470) :args (@t355)) % 0.93/1.18 (step @p4472 :rule cong :premises (@p4471) :args (@t356)) % 0.93/1.18 (step @p4473 :rule trans :premises (@p4472 @p4444)) % 0.93/1.18 (step @p4474 :rule refl :args (tptp.inCongP)) % 0.93/1.18 (step @p4475 :rule cong :premises (@p4474 @p4473) :args (@t357)) % 0.93/1.18 (step @p4476 :rule trans :premises (@p4475 @p4407)) % 0.93/1.18 (step @p4477 :rule eq_resolve :premises (@p64 @p4476)) % 0.93/1.18 (step @p4478 :rule eq_resolve :premises (@p4477 @p4408)) % 0.93/1.18 (step @p4479 :rule cong :premises (@p4478 @p4406) :args (@t2813)) % 0.93/1.18 (step @p4480 :rule refl :args (@t1485)) % 0.93/1.18 (step @p4481 :rule eq-symm :args (@t1488 @t19)) % 0.93/1.18 (step @p4482 :rule refl :args (@t1242)) % 0.93/1.18 (step @p4483 :rule cong :premises (@p4482 @p4481) :args ((= @t1242 @t2814))) % 0.93/1.18 (step @p4484 :rule eq-symm :args (@t2814 @t1242)) % 0.93/1.18 (step @p4485 :rule trans :premises (@p4484 @p4483)) % 0.93/1.18 (step @p4486 :rule cong :premises (@p4485) :args (@t2815)) % 0.93/1.18 (step @p4487 :rule cong :premises (@p4486) :args (@t2816)) % 0.93/1.18 (step @p4488 :rule nary_cong :premises (@p4487 @p4480) :args (@t2817)) % 0.93/1.18 (step @p4489 :rule cong :premises (@p4488) :args (@t2818)) % 0.93/1.18 (step @p4490 :rule quant-merge-prenex :args ((= (forall @t150 @t2820) @t2818))) % 0.93/1.18 (step @p4491 :rule refl :args (@t1485)) % 0.93/1.18 (step @p4492 :rule alpha_equiv :args (@t2821 (@list @t1488) @t2008)) % 0.93/1.18 (step @p4493 :rule nary_cong :premises (@p4492 @p4491) :args (@t2822)) % 0.93/1.18 (step @p4494 :rule quant-miniscope-or :args ((= @t2820 @t2822))) % 0.93/1.18 (step @p4495 :rule trans :premises (@p4494 @p4493)) % 0.93/1.18 (step @p4496 :rule symm :premises (@p4495)) % 0.93/1.18 (step @p4497 :rule cong :premises (@p4496) :args ((forall @t150 (or @t1539 @t1485)))) % 0.93/1.18 (step @p4498 :rule trans :premises (@p4497 @p4490)) % 0.93/1.18 (step @p4499 :rule trans :premises (@p4498 @p4489)) % 0.93/1.18 (step @p4500 :rule bool-double-not-elim :args (@t1539)) % 0.93/1.18 (step @p4501 :rule nary_cong :premises (@p4500 @p4491) :args ((or (not @t1540) @t1485))) % 0.93/1.18 (step @p4502 :rule bool-impl-elim :args (@t1540 @t1485)) % 0.93/1.18 (step @p4503 :rule trans :premises (@p4502 @p4501)) % 0.93/1.18 (step @p4504 :rule cong :premises (@p4503) :args ((forall @t150 (=> @t1540 @t1485)))) % 0.93/1.18 (step @p4505 :rule trans :premises (@p4504 @p4499)) % 0.93/1.18 (step @p4506 :rule exists-elim :args ((= (exists @t9 @t1538) @t1540))) % 0.93/1.18 (step @p4507 :rule eq-symm :args (@t1242 @t129)) % 0.93/1.18 (step @p4508 :rule cong :premises (@p4507) :args ((forall @t70 (= @t1242 @t129)))) % 0.93/1.18 (step @p4509 :rule cong :premises (@p1791 @p1331) :args (@t2823)) % 0.93/1.18 (step @p4510 :rule cong :premises (@p4509) :args ((forall @t70 @t2823))) % 0.93/1.18 (step @p4511 :rule trans :premises (@p4510 @p4508)) % 0.93/1.18 (step @p4512 :rule cong :premises (@p1967 @p1966) :args (@t263)) % 0.93/1.18 (step @p4513 :rule cong :premises (@p4512) :args (@t264)) % 0.93/1.18 (step @p4514 :rule trans :premises (@p4513 @p4511)) % 0.93/1.18 (step @p4515 :rule cong :premises (@p4514) :args (@t265)) % 0.93/1.18 (step @p4516 :rule trans :premises (@p4515 @p4506)) % 0.93/1.18 (step @p4517 :rule cong :premises (@p4516 @p4073) :args (@t2824)) % 0.93/1.18 (step @p4518 :rule cong :premises (@p4517) :args (@t2825)) % 0.93/1.18 (step @p4519 :rule trans :premises (@p4518 @p4505)) % 0.93/1.18 (step @p4520 :rule refl :args (tptp.exuI2)) % 0.93/1.18 (step @p4521 :rule cong :premises (@p4520 @p4519) :args ((= tptp.exuI2 @t2825))) % 0.93/1.18 (step @p4522 :rule refl :args (@t265)) % 0.93/1.18 (step @p4523 :rule cong :premises (@p4522 @p4116) :args (@t349)) % 0.93/1.18 (step @p4524 :rule cong :premises (@p4523) :args (@t350)) % 0.93/1.18 (step @p4525 :rule cong :premises (@p4520 @p4524) :args (@t351)) % 0.93/1.18 (step @p4526 :rule trans :premises (@p4525 @p4521)) % 0.93/1.18 (step @p4527 :rule eq_resolve :premises (@p63 @p4526)) % 0.93/1.18 (step @p4528 :rule cong :premises (@p4527 @p4479) :args (@t2826)) % 0.93/1.18 (step @p4529 :rule quant-merge-prenex :args ((= (forall @t150 @t2828) @t1496))) % 0.93/1.18 (step @p4530 :rule refl :args (@t1492)) % 0.93/1.18 (step @p4531 :rule alpha_equiv :args (@t2829 (@list @t1493) @t2008)) % 0.93/1.18 (step @p4532 :rule nary_cong :premises (@p4531 @p4530 @p4491) :args (@t2830)) % 0.93/1.18 (step @p4533 :rule quant-miniscope-or :args ((= @t2828 @t2830))) % 0.93/1.18 (step @p4534 :rule trans :premises (@p4533 @p4532)) % 0.93/1.18 (step @p4535 :rule symm :premises (@p4534)) % 0.93/1.18 (step @p4536 :rule cong :premises (@p4535) :args ((forall @t150 @t2831))) % 0.93/1.18 (step @p4537 :rule trans :premises (@p4536 @p4529)) % 0.93/1.18 (step @p4538 :rule aci_norm :args ((= (or @t1602 (or @t1492 @t1485)) @t2831))) % 0.93/1.18 (step @p4539 :rule bool-impl-elim :args (@t1491 @t1485)) % 0.93/1.18 (step @p4540 :rule refl :args (@t1602)) % 0.93/1.18 (step @p4541 :rule nary_cong :premises (@p4540 @p4539) :args ((or @t1602 @t2832))) % 0.93/1.18 (step @p4542 :rule trans :premises (@p4541 @p4538)) % 0.93/1.18 (step @p4543 :rule refl :args (@t2832)) % 0.93/1.18 (step @p4544 :rule bool-double-not-elim :args (@t1602)) % 0.93/1.18 (step @p4545 :rule nary_cong :premises (@p4544 @p4543) :args ((or (not @t1603) @t2832))) % 0.93/1.18 (step @p4546 :rule bool-impl-elim :args (@t1603 @t2832)) % 0.93/1.18 (step @p4547 :rule trans :premises (@p4546 @p4545)) % 0.93/1.18 (step @p4548 :rule trans :premises (@p4547 @p4542)) % 0.93/1.18 (step @p4549 :rule cong :premises (@p4548) :args ((forall @t150 (=> @t1603 @t2832)))) % 0.93/1.18 (step @p4550 :rule trans :premises (@p4549 @p4537)) % 0.93/1.18 (step @p4551 :rule cong :premises (@p4156 @p4073) :args (@t2833)) % 0.93/1.18 (step @p4552 :rule cong :premises (@p1756) :args (@t2834)) % 0.93/1.18 (step @p4553 :rule cong :premises (@p4552) :args (@t2835)) % 0.93/1.18 (step @p4554 :rule exists-elim :args ((= @t186 @t2835))) % 0.93/1.18 (step @p4555 :rule trans :premises (@p4554 @p4553)) % 0.93/1.18 (step @p4556 :rule cong :premises (@p4555 @p4551) :args (@t2836)) % 0.93/1.18 (step @p4557 :rule cong :premises (@p4556) :args (@t2837)) % 0.93/1.18 (step @p4558 :rule trans :premises (@p4557 @p4550)) % 0.93/1.18 (step @p4559 :rule refl :args (tptp.exuI3)) % 0.93/1.18 (step @p4560 :rule cong :premises (@p4559 @p4558) :args ((= tptp.exuI3 @t2837))) % 0.93/1.18 (step @p4561 :rule cong :premises (@p4162 @p4116) :args (@t345)) % 0.93/1.18 (step @p4562 :rule refl :args (@t186)) % 0.93/1.18 (step @p4563 :rule cong :premises (@p4562 @p4561) :args (@t346)) % 0.93/1.18 (step @p4564 :rule cong :premises (@p4563) :args (@t347)) % 0.93/1.18 (step @p4565 :rule cong :premises (@p4559 @p4564) :args (@t348)) % 0.93/1.18 (step @p4566 :rule trans :premises (@p4565 @p4560)) % 0.93/1.18 (step @p4567 :rule eq_resolve :premises (@p62 @p4566)) % 0.93/1.18 (step @p4568 :rule cong :premises (@p4567 @p4528) :args (@t2838)) % 0.93/1.18 (step @p4569 :rule bool-eq-true :args (tptp.exuI1)) % 0.93/1.18 (step @p4570 :rule symm :premises (@p4569)) % 0.93/1.18 (step @p4571 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 0.93/1.18 (step @p4572 :rule bool-or-taut :args (false @t1484 false false)) % 0.93/1.18 (step @p4573 :rule nary_cong :premises (@p4021 @p4491) :args ((or @t2644 @t1485))) % 0.93/1.18 (step @p4574 :rule bool-impl-elim :args (@t1485 @t1485)) % 0.93/1.18 (step @p4575 :rule trans :premises (@p4574 @p4573)) % 0.93/1.18 (step @p4576 :rule trans :premises (@p4575 @p4572)) % 0.93/1.18 (step @p4577 :rule cong :premises (@p4576) :args ((forall @t150 (=> @t1485 @t1485)))) % 0.93/1.18 (step @p4578 :rule trans :premises (@p4577 @p4571)) % 0.93/1.18 (step @p4579 :rule cong :premises (@p4111 @p4073) :args (@t2839)) % 0.93/1.18 (step @p4580 :rule cong :premises (@p4579) :args (@t2840)) % 0.93/1.18 (step @p4581 :rule trans :premises (@p4580 @p4578)) % 0.93/1.18 (step @p4582 :rule refl :args (tptp.exuI1)) % 0.93/1.18 (step @p4583 :rule cong :premises (@p4582 @p4581) :args ((= tptp.exuI1 @t2840))) % 0.93/1.18 (step @p4584 :rule trans :premises (@p4583 @p4569)) % 0.93/1.18 (step @p4585 :rule refl :args (@t169)) % 0.93/1.18 (step @p4586 :rule cong :premises (@p4585 @p4116) :args (@t340)) % 0.93/1.18 (step @p4587 :rule cong :premises (@p4586) :args (@t341)) % 0.93/1.18 (step @p4588 :rule cong :premises (@p4582 @p4587) :args (@t342)) % 0.93/1.18 (step @p4589 :rule trans :premises (@p4588 @p4584)) % 0.93/1.18 (step @p4590 :rule eq_resolve :premises (@p61 @p4589)) % 0.93/1.18 (step @p4591 :rule eq_resolve :premises (@p4590 @p4570)) % 0.93/1.18 (step @p4592 :rule cong :premises (@p4591 @p4568) :args (@t2841)) % 0.93/1.18 (step @p4593 :rule bool-eq-true :args (tptp.notdallE)) % 0.93/1.18 (step @p4594 :rule symm :premises (@p4593)) % 0.93/1.18 (step @p4595 :rule bool-eq-true :args (tptp.notdallE)) % 0.93/1.18 (step @p4596 :rule eq-symm :args (true tptp.notdallE)) % 0.93/1.18 (step @p4597 :rule trans :premises (@p4596 @p4595)) % 0.93/1.18 (step @p4598 :rule refl :args (tptp.notdallE)) % 0.93/1.18 (step @p4599 :rule quant-unused-vars :args ((= (forall @t309 true) true))) % 0.93/1.18 (step @p4600 :rule bool-or-taut :args (false @t2842 false false)) % 0.93/1.18 (step @p4601 :rule refl :args (@t2843)) % 0.93/1.18 (step @p4602 :rule bool-double-not-elim :args (@t2842)) % 0.93/1.18 (step @p4603 :rule nary_cong :premises (@p4602 @p4601) :args ((or (not @t2843) @t2843))) % 0.93/1.18 (step @p4604 :rule bool-impl-elim :args (@t2843 @t2843)) % 0.93/1.18 (step @p4605 :rule trans :premises (@p4604 @p4603)) % 0.93/1.18 (step @p4606 :rule trans :premises (@p4605 @p4600)) % 0.93/1.18 (step @p4607 :rule cong :premises (@p4606) :args ((forall @t309 (=> @t2843 @t2843)))) % 0.93/1.18 (step @p4608 :rule trans :premises (@p4607 @p4599)) % 0.93/1.18 (step @p4609 :rule nary_cong :premises (@p747 @p1755) :args (@t2844)) % 0.93/1.18 (step @p4610 :rule cong :premises (@p4609) :args ((forall @t9 @t2844))) % 0.93/1.18 (step @p4611 :rule bool-double-not-elim :args (@t144)) % 0.93/1.18 (step @p4612 :rule nary_cong :premises (@p1909 @p4611) :args ((or @t197 (not @t315)))) % 0.93/1.18 (step @p4613 :rule bool-and-de-morgan :args (@t7 @t315 true)) % 0.93/1.18 (step @p4614 :rule trans :premises (@p4613 @p4612)) % 0.93/1.18 (step @p4615 :rule cong :premises (@p4614) :args (@t2845)) % 0.93/1.18 (step @p4616 :rule trans :premises (@p4615 @p4610)) % 0.93/1.18 (step @p4617 :rule cong :premises (@p4616) :args (@t2846)) % 0.93/1.18 (step @p4618 :rule exists-elim :args ((= @t317 @t2846))) % 0.93/1.18 (step @p4619 :rule trans :premises (@p4618 @p4617)) % 0.93/1.18 (step @p4620 :rule bool-impl-elim :args (@t7 @t144)) % 0.93/1.18 (step @p4621 :rule cong :premises (@p4620) :args (@t318)) % 0.93/1.18 (step @p4622 :rule trans :premises (@p4621 @p4610)) % 0.93/1.18 (step @p4623 :rule cong :premises (@p4622) :args (@t319)) % 0.93/1.18 (step @p4624 :rule cong :premises (@p4623 @p4619) :args (@t320)) % 0.93/1.18 (step @p4625 :rule cong :premises (@p4624) :args (@t321)) % 0.93/1.18 (step @p4626 :rule trans :premises (@p4625 @p4608)) % 0.93/1.18 (step @p4627 :rule cong :premises (@p4626 @p4598) :args ((= @t321 tptp.notdallE))) % 0.93/1.18 (step @p4628 :rule trans :premises (@p4627 @p4597)) % 0.93/1.18 (step @p4629 :rule eq-symm :args (tptp.notdallE @t321)) % 0.93/1.18 (step @p4630 :rule trans :premises (@p4629 @p4628)) % 0.93/1.18 (step @p4631 :rule eq_resolve :premises (@p60 @p4630)) % 0.93/1.18 (step @p4632 :rule eq_resolve :premises (@p4631 @p4594)) % 0.93/1.18 (step @p4633 :rule cong :premises (@p4632 @p4592) :args (@t2847)) % 0.93/1.18 (step @p4634 :rule bool-eq-true :args (tptp.notdexE)) % 0.93/1.18 (step @p4635 :rule symm :premises (@p4634)) % 0.93/1.18 (step @p4636 :rule bool-eq-true :args (tptp.notdexE)) % 0.93/1.18 (step @p4637 :rule eq-symm :args (true tptp.notdexE)) % 0.93/1.18 (step @p4638 :rule trans :premises (@p4637 @p4636)) % 0.93/1.18 (step @p4639 :rule refl :args (tptp.notdexE)) % 0.93/1.18 (step @p4640 :rule bool-or-taut2 :args (false @t1252 false false)) % 0.93/1.18 (step @p4641 :rule bool-impl-elim :args (@t1252 @t1252)) % 0.93/1.18 (step @p4642 :rule trans :premises (@p4641 @p4640)) % 0.93/1.18 (step @p4643 :rule cong :premises (@p4642) :args ((forall @t309 (=> @t1252 @t1252)))) % 0.93/1.18 (step @p4644 :rule trans :premises (@p4643 @p4599)) % 0.93/1.18 (step @p4645 :rule bool-impl-elim :args (@t7 @t315)) % 0.93/1.18 (step @p4646 :rule cong :premises (@p4645) :args (@t324)) % 0.93/1.18 (step @p4647 :rule trans :premises (@p4646 @p1758)) % 0.93/1.18 (step @p4648 :rule bool-double-not-elim :args (@t1252)) % 0.93/1.18 (step @p4649 :rule cong :premises (@p1764) :args (@t323)) % 0.93/1.18 (step @p4650 :rule trans :premises (@p4649 @p4648)) % 0.93/1.18 (step @p4651 :rule cong :premises (@p4650 @p4647) :args (@t328)) % 0.93/1.18 (step @p4652 :rule cong :premises (@p4651) :args (@t329)) % 0.93/1.18 (step @p4653 :rule trans :premises (@p4652 @p4644)) % 0.93/1.18 (step @p4654 :rule cong :premises (@p4653 @p4639) :args ((= @t329 tptp.notdexE))) % 0.93/1.18 (step @p4655 :rule trans :premises (@p4654 @p4638)) % 0.93/1.18 (step @p4656 :rule eq-symm :args (tptp.notdexE @t329)) % 0.93/1.18 (step @p4657 :rule trans :premises (@p4656 @p4655)) % 0.93/1.18 (step @p4658 :rule eq_resolve :premises (@p59 @p4657)) % 0.93/1.18 (step @p4659 :rule eq_resolve :premises (@p4658 @p4635)) % 0.93/1.18 (step @p4660 :rule cong :premises (@p4659 @p4633) :args (@t2848)) % 0.93/1.18 (step @p4661 :rule aci_norm :args ((= (or false @t1499) @t1499))) % 0.93/1.18 (step @p4662 :rule nary_cong :premises (@p1345 @p562) :args (@t2849)) % 0.93/1.18 (step @p4663 :rule trans :premises (@p4662 @p4661)) % 0.93/1.18 (step @p4664 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2852 @t2417 @t2851)) @t2849))) % 0.93/1.18 (step @p4665 :rule refl :args (@t2851)) % 0.93/1.18 (step @p4666 :rule bool-eq-true :args (@t173)) % 0.93/1.18 (step @p4667 :rule symm :premises (@p4666)) % 0.93/1.18 (step @p4668 :rule cong :premises (@p4667) :args (@t2417)) % 0.93/1.18 (step @p4669 :rule nary_cong :premises (@p4668 @p2801 @p4665) :args (@t2853)) % 0.93/1.18 (step @p4670 :rule aci_norm :args ((= @t2854 @t2853))) % 0.93/1.18 (step @p4671 :rule trans :premises (@p4670 @p4669)) % 0.93/1.18 (step @p4672 :rule cong :premises (@p4671) :args ((forall @t179 @t2854))) % 0.93/1.18 (step @p4673 :rule trans :premises (@p4672 @p4664)) % 0.93/1.18 (step @p4674 :rule trans :premises (@p4673 @p4663)) % 0.93/1.18 (step @p4675 :rule refl :args ((tptp.set2prop @t174))) % 0.93/1.18 (step @p4676 :rule refl :args (@t2850)) % 0.93/1.18 (step @p4677 :rule cong :premises (@p4676) :args (@t2851)) % 0.93/1.18 (step @p4678 :rule trans :premises (@p4677 @p4675)) % 0.93/1.18 (step @p4679 :rule refl :args (tptp.set2prop)) % 0.93/1.18 (step @p4680 :rule ho_cong :premises (@p4679 @p4676)) % 0.93/1.18 (step @p4681 :rule cong :premises (@p4680 @p4678) :args ((= (_ tptp.set2prop @t2850) @t2851))) % 0.93/1.18 (step @p4682 :rule symm :premises (@p4681)) % 0.93/1.18 (step @p4683 :rule refl :args (@t337)) % 0.93/1.18 (step @p4684 :rule eq_resolve :premises (@p4683 @p4682)) % 0.93/1.18 (step @p4685 :rule refl :args (@t174)) % 0.93/1.18 (step @p4686 :rule cong :premises (@p4685 @p4676) :args ((= @t174 @t2850))) % 0.93/1.18 (step @p4687 :rule symm :premises (@p4686)) % 0.93/1.18 (step @p4688 :rule eq_resolve :premises (@p4685 @p4687)) % 0.93/1.18 (step @p4689 :rule ho_cong :premises (@p4679 @p4688)) % 0.93/1.18 (step @p4690 :rule trans :premises (@p4689 @p4684)) % 0.93/1.18 (step @p4691 :rule nary_cong :premises (@p2801 @p4690) :args (@t2855)) % 0.93/1.18 (step @p4692 :rule cong :premises (@p4691) :args ((forall @t179 @t2855))) % 0.93/1.18 (step @p4693 :rule trans :premises (@p4692 @p4674)) % 0.93/1.18 (step @p4694 :rule bool-impl-elim :args (@t173 @t337)) % 0.93/1.18 (step @p4695 :rule cong :premises (@p4694) :args (@t338)) % 0.93/1.18 (step @p4696 :rule trans :premises (@p4695 @p4693)) % 0.93/1.18 (step @p4697 :rule refl :args (tptp.prop2set2propI)) % 0.93/1.18 (step @p4698 :rule cong :premises (@p4697 @p4696) :args (@t339)) % 0.93/1.18 (step @p4699 :rule eq_resolve :premises (@p58 @p4698)) % 0.93/1.18 (step @p4700 :rule cong :premises (@p4699 @p4660) :args (@t2856)) % 0.93/1.18 (step @p4701 :rule aci_norm :args ((= (or false @t1501) @t1501))) % 0.93/1.18 (step @p4702 :rule nary_cong :premises (@p1345 @p564) :args (@t2857)) % 0.93/1.18 (step @p4703 :rule trans :premises (@p4702 @p4701)) % 0.93/1.18 (step @p4704 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2852 @t2417 @t2858)) @t2857))) % 0.93/1.18 (step @p4705 :rule refl :args (@t2858)) % 0.93/1.18 (step @p4706 :rule nary_cong :premises (@p4668 @p2801 @p4705) :args (@t2859)) % 0.93/1.18 (step @p4707 :rule aci_norm :args ((= @t2860 @t2859))) % 0.93/1.18 (step @p4708 :rule trans :premises (@p4707 @p4706)) % 0.93/1.18 (step @p4709 :rule cong :premises (@p4708) :args ((forall @t179 @t2860))) % 0.93/1.18 (step @p4710 :rule trans :premises (@p4709 @p4704)) % 0.93/1.18 (step @p4711 :rule trans :premises (@p4710 @p4703)) % 0.93/1.18 (step @p4712 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 0.93/1.18 (step @p4713 :rule cong :premises (@p251 @p4676) :args (@t2858)) % 0.93/1.18 (step @p4714 :rule trans :premises (@p4713 @p4712)) % 0.93/1.18 (step @p4715 :rule ho_cong :premises (@p254 @p4676)) % 0.93/1.18 (step @p4716 :rule cong :premises (@p4715 @p4714) :args ((= (_ @t49 @t2850) @t2858))) % 0.93/1.18 (step @p4717 :rule symm :premises (@p4716)) % 0.93/1.18 (step @p4718 :rule refl :args (@t334)) % 0.93/1.18 (step @p4719 :rule eq_resolve :premises (@p4718 @p4717)) % 0.93/1.18 (step @p4720 :rule ho_cong :premises (@p254 @p4688)) % 0.93/1.18 (step @p4721 :rule trans :premises (@p4720 @p4719)) % 0.93/1.18 (step @p4722 :rule nary_cong :premises (@p2801 @p4721) :args (@t2861)) % 0.93/1.18 (step @p4723 :rule cong :premises (@p4722) :args ((forall @t179 @t2861))) % 0.93/1.18 (step @p4724 :rule trans :premises (@p4723 @p4711)) % 0.93/1.18 (step @p4725 :rule bool-impl-elim :args (@t173 @t334)) % 0.93/1.18 (step @p4726 :rule cong :premises (@p4725) :args (@t335)) % 0.93/1.18 (step @p4727 :rule trans :premises (@p4726 @p4724)) % 0.93/1.18 (step @p4728 :rule refl :args (tptp.prop2setI)) % 0.93/1.18 (step @p4729 :rule cong :premises (@p4728 @p4727) :args (@t336)) % 0.93/1.18 (step @p4730 :rule eq_resolve :premises (@p57 @p4729)) % 0.93/1.18 (step @p4731 :rule cong :premises (@p4730 @p4700) :args (@t2862)) % 0.93/1.18 (step @p4732 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 0.93/1.18 (step @p4733 :rule symm :premises (@p4732)) % 0.93/1.18 (step @p4734 :rule cong :premises (@p4619 @p4623) :args (@t331)) % 0.93/1.18 (step @p4735 :rule cong :premises (@p4734) :args (@t332)) % 0.93/1.18 (step @p4736 :rule trans :premises (@p4735 @p4608)) % 0.93/1.18 (step @p4737 :rule refl :args (tptp.quantDeMorgan4)) % 0.93/1.18 (step @p4738 :rule cong :premises (@p4737 @p4736) :args (@t333)) % 0.93/1.18 (step @p4739 :rule trans :premises (@p4738 @p4732)) % 0.93/1.18 (step @p4740 :rule eq_resolve :premises (@p56 @p4739)) % 0.93/1.18 (step @p4741 :rule eq_resolve :premises (@p4740 @p4733)) % 0.93/1.18 (step @p4742 :rule cong :premises (@p4741 @p4731) :args (@t2863)) % 0.93/1.18 (step @p4743 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 0.93/1.18 (step @p4744 :rule symm :premises (@p4743)) % 0.93/1.18 (step @p4745 :rule refl :args (tptp.quantDeMorgan3)) % 0.93/1.18 (step @p4746 :rule cong :premises (@p4745 @p4653) :args (@t330)) % 0.93/1.18 (step @p4747 :rule trans :premises (@p4746 @p4743)) % 0.93/1.18 (step @p4748 :rule eq_resolve :premises (@p55 @p4747)) % 0.93/1.18 (step @p4749 :rule eq_resolve :premises (@p4748 @p4744)) % 0.93/1.18 (step @p4750 :rule cong :premises (@p4749 @p4742) :args (@t2864)) % 0.93/1.18 (step @p4751 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 0.93/1.18 (step @p4752 :rule symm :premises (@p4751)) % 0.93/1.18 (step @p4753 :rule cong :premises (@p4647 @p4650) :args (@t325)) % 0.93/1.18 (step @p4754 :rule cong :premises (@p4753) :args (@t326)) % 0.93/1.18 (step @p4755 :rule trans :premises (@p4754 @p4644)) % 0.93/1.18 (step @p4756 :rule refl :args (tptp.quantDeMorgan2)) % 0.93/1.18 (step @p4757 :rule cong :premises (@p4756 @p4755) :args (@t327)) % 0.93/1.18 (step @p4758 :rule trans :premises (@p4757 @p4751)) % 0.93/1.18 (step @p4759 :rule eq_resolve :premises (@p54 @p4758)) % 0.93/1.18 (step @p4760 :rule eq_resolve :premises (@p4759 @p4752)) % 0.93/1.18 (step @p4761 :rule cong :premises (@p4760 @p4750) :args (@t2865)) % 0.93/1.18 (step @p4762 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 0.93/1.18 (step @p4763 :rule symm :premises (@p4762)) % 0.93/1.18 (step @p4764 :rule refl :args (tptp.quantDeMorgan1)) % 0.93/1.18 (step @p4765 :rule cong :premises (@p4764 @p4626) :args (@t322)) % 0.93/1.18 (step @p4766 :rule trans :premises (@p4765 @p4762)) % 0.93/1.18 (step @p4767 :rule eq_resolve :premises (@p53 @p4766)) % 0.93/1.18 (step @p4768 :rule eq_resolve :premises (@p4767 @p4763)) % 0.93/1.18 (step @p4769 :rule cong :premises (@p4768 @p4761) :args (@t2866)) % 0.93/1.18 (step @p4770 :rule refl :args (@t1503)) % 0.93/1.18 (step @p4771 :rule refl :args (@t15)) % 0.93/1.18 (step @p4772 :rule cong :premises (@p4771 @p4770) :args ((= @t15 @t1503))) % 0.93/1.18 (step @p4773 :rule symm :premises (@p4772)) % 0.93/1.18 (step @p4774 :rule eq_resolve :premises (@p4771 @p4773)) % 0.93/1.18 (step @p4775 :rule cong :premises (@p4774) :args (@t16)) % 0.93/1.18 (step @p4776 :rule nary_cong :premises (@p4775 @p1755) :args (@t2867)) % 0.93/1.18 (step @p4777 :rule cong :premises (@p4776) :args ((forall @t312 @t2867))) % 0.93/1.18 (step @p4778 :rule bool-impl-elim :args (@t15 @t144)) % 0.93/1.18 (step @p4779 :rule cong :premises (@p4778) :args (@t313)) % 0.93/1.18 (step @p4780 :rule trans :premises (@p4779 @p4777)) % 0.93/1.18 (step @p4781 :rule refl :args (tptp.vacuousDall)) % 0.93/1.18 (step @p4782 :rule cong :premises (@p4781 @p4780) :args (@t314)) % 0.93/1.18 (step @p4783 :rule eq_resolve :premises (@p52 @p4782)) % 0.93/1.18 (step @p4784 :rule cong :premises (@p4783 @p4769) :args (@t2868)) % 0.93/1.18 (step @p4785 :rule aci_norm :args ((= @t2870 @t1511))) % 0.93/1.18 (step @p4786 :rule cong :premises (@p4785) :args (@t2871)) % 0.93/1.18 (step @p4787 :rule quant-merge-prenex :args ((= (forall @t309 @t2873) @t2871))) % 0.93/1.18 (step @p4788 :rule refl :args (@t1510)) % 0.93/1.18 (step @p4789 :rule alpha_equiv :args (@t2874 (@list @t1507) @t2008)) % 0.93/1.18 (step @p4790 :rule nary_cong :premises (@p4789 @p4788) :args (@t2875)) % 0.93/1.18 (step @p4791 :rule quant-miniscope-or :args ((= @t2873 @t2875))) % 0.93/1.18 (step @p4792 :rule trans :premises (@p4791 @p4790)) % 0.93/1.18 (step @p4793 :rule symm :premises (@p4792)) % 0.93/1.18 (step @p4794 :rule cong :premises (@p4793) :args ((forall @t309 (or @t1252 @t1510)))) % 0.93/1.18 (step @p4795 :rule trans :premises (@p4794 @p4787)) % 0.93/1.18 (step @p4796 :rule trans :premises (@p4795 @p4786)) % 0.93/1.18 (step @p4797 :rule cong :premises (@p204 @p3373) :args (@t2876)) % 0.93/1.18 (step @p4798 :rule cong :premises (@p4797) :args (@t2877)) % 0.93/1.18 (step @p4799 :rule refl :args (@t1252)) % 0.93/1.18 (step @p4800 :rule nary_cong :premises (@p4799 @p4798) :args (@t2878)) % 0.93/1.18 (step @p4801 :rule cong :premises (@p4800) :args ((forall @t309 @t2878))) % 0.93/1.18 (step @p4802 :rule trans :premises (@p4801 @p4796)) % 0.93/1.18 (step @p4803 :rule cong :premises (@p251 @p3396) :args (@t2879)) % 0.93/1.18 (step @p4804 :rule cong :premises (@p4803) :args (@t2880)) % 0.93/1.18 (step @p4805 :rule refl :args (@t1252)) % 0.93/1.18 (step @p4806 :rule nary_cong :premises (@p4805 @p4804) :args (@t2881)) % 0.93/1.18 (step @p4807 :rule cong :premises (@p4806) :args ((forall @t309 @t2881))) % 0.93/1.18 (step @p4808 :rule trans :premises (@p4807 @p4802)) % 0.93/1.18 (step @p4809 :rule refl :args (@t2880)) % 0.93/1.18 (step @p4810 :rule nary_cong :premises (@p1701 @p4809) :args ((or @t2145 @t2880))) % 0.93/1.18 (step @p4811 :rule bool-impl-elim :args (@t1253 @t2880)) % 0.93/1.18 (step @p4812 :rule trans :premises (@p4811 @p4810)) % 0.93/1.18 (step @p4813 :rule cong :premises (@p4812) :args ((forall @t309 (=> @t1253 @t2880)))) % 0.93/1.18 (step @p4814 :rule trans :premises (@p4813 @p4808)) % 0.93/1.18 (step @p4815 :rule eq-symm :args (@t304 tptp.emptyset)) % 0.93/1.18 (step @p4816 :rule cong :premises (@p4815) :args ((not @t305))) % 0.93/1.18 (step @p4817 :rule bool-impl-false1 :args (@t305)) % 0.93/1.18 (step @p4818 :rule trans :premises (@p4817 @p4816)) % 0.93/1.18 (step @p4819 :rule cong :premises (@p1764 @p4818) :args (@t308)) % 0.93/1.18 (step @p4820 :rule cong :premises (@p4819) :args (@t310)) % 0.93/1.18 (step @p4821 :rule trans :premises (@p4820 @p4814)) % 0.93/1.18 (step @p4822 :rule refl :args (tptp.emptyE1)) % 0.93/1.18 (step @p4823 :rule cong :premises (@p4822 @p4821) :args (@t311)) % 0.93/1.18 (step @p4824 :rule eq_resolve :premises (@p51 @p4823)) % 0.93/1.18 (step @p4825 :rule cong :premises (@p4824 @p4784) :args (@t2882)) % 0.93/1.18 (step @p4826 :rule refl :args (tptp.upairsetIR)) % 0.93/1.18 (step @p4827 :rule cong :premises (@p4826 @p2665) :args (@t303)) % 0.93/1.18 (step @p4828 :rule eq_resolve :premises (@p50 @p4827)) % 0.93/1.18 (step @p4829 :rule cong :premises (@p4828 @p4825) :args (@t2883)) % 0.93/1.18 (step @p4830 :rule refl :args ((tptp.in @t4 @t291))) % 0.93/1.18 (step @p4831 :rule cong :premises (@p1006 @p1285) :args (@t1516)) % 0.93/1.18 (step @p4832 :rule trans :premises (@p4831 @p4830)) % 0.93/1.18 (step @p4833 :rule ho_cong :premises (@p2111 @p1285)) % 0.93/1.18 (step @p4834 :rule cong :premises (@p4833 @p4832) :args ((= (_ @t5 @t1176) @t1516))) % 0.93/1.18 (step @p4835 :rule symm :premises (@p4834)) % 0.93/1.18 (step @p4836 :rule refl :args (@t298)) % 0.93/1.18 (step @p4837 :rule eq_resolve :premises (@p4836 @p4835)) % 0.93/1.18 (step @p4838 :rule ho_cong :premises (@p2111 @p1313)) % 0.93/1.18 (step @p4839 :rule trans :premises (@p4838 @p4837)) % 0.93/1.18 (step @p4840 :rule cong :premises (@p4839) :args (@t299)) % 0.93/1.18 (step @p4841 :rule refl :args (tptp.upairsetIL)) % 0.93/1.18 (step @p4842 :rule cong :premises (@p4841 @p4840) :args (@t300)) % 0.93/1.18 (step @p4843 :rule eq_resolve :premises (@p49 @p4842)) % 0.93/1.18 (step @p4844 :rule cong :premises (@p4843 @p4829) :args (@t2884)) % 0.93/1.18 (step @p4845 :rule refl :args (tptp.upairsetE)) % 0.93/1.18 (step @p4846 :rule cong :premises (@p4845 @p2508) :args (@t297)) % 0.93/1.18 (step @p4847 :rule eq_resolve :premises (@p48 @p4846)) % 0.93/1.18 (step @p4848 :rule cong :premises (@p4847 @p4844) :args (@t2885)) % 0.93/1.18 (step @p4849 :rule refl :args ((tptp.in @t19 @t279))) % 0.93/1.18 (step @p4850 :rule cong :premises (@p958 @p1192) :args (@t1520)) % 0.93/1.18 (step @p4851 :rule trans :premises (@p4850 @p4849)) % 0.93/1.18 (step @p4852 :rule ho_cong :premises (@p2618 @p1192)) % 0.93/1.18 (step @p4853 :rule cong :premises (@p4852 @p4851) :args ((= (_ @t20 @t1164) @t1520))) % 0.93/1.18 (step @p4854 :rule symm :premises (@p4853)) % 0.93/1.18 (step @p4855 :rule refl :args (@t280)) % 0.93/1.18 (step @p4856 :rule eq_resolve :premises (@p4855 @p4854)) % 0.93/1.18 (step @p4857 :rule ho_cong :premises (@p2618 @p1196)) % 0.93/1.18 (step @p4858 :rule trans :premises (@p4857 @p4856)) % 0.93/1.18 (step @p4859 :rule refl :args ((tptp.in @t4 @t275))) % 0.93/1.18 (step @p4860 :rule cong :premises (@p1006 @p1283) :args (@t1521)) % 0.93/1.18 (step @p4861 :rule trans :premises (@p4860 @p4859)) % 0.93/1.18 (step @p4862 :rule ho_cong :premises (@p2111 @p1283)) % 0.93/1.18 (step @p4863 :rule cong :premises (@p4862 @p4861) :args ((= (_ @t5 @t1175) @t1521))) % 0.93/1.18 (step @p4864 :rule symm :premises (@p4863)) % 0.93/1.18 (step @p4865 :rule refl :args (@t276)) % 0.93/1.18 (step @p4866 :rule eq_resolve :premises (@p4865 @p4864)) % 0.93/1.18 (step @p4867 :rule ho_cong :premises (@p2111 @p1311)) % 0.93/1.18 (step @p4868 :rule trans :premises (@p4867 @p4866)) % 0.93/1.18 (step @p4869 :rule cong :premises (@p4868) :args (@t2886)) % 0.93/1.18 (step @p4870 :rule nary_cong :premises (@p4869 @p4858) :args (@t2887)) % 0.93/1.18 (step @p4871 :rule cong :premises (@p4870) :args ((forall @t135 @t2887))) % 0.93/1.18 (step @p4872 :rule bool-impl-elim :args (@t276 @t280)) % 0.93/1.18 (step @p4873 :rule cong :premises (@p4872) :args (@t287)) % 0.93/1.18 (step @p4874 :rule trans :premises (@p4873 @p4871)) % 0.93/1.18 (step @p4875 :rule refl :args (tptp.singletonsswitch)) % 0.93/1.18 (step @p4876 :rule cong :premises (@p4875 @p4874) :args (@t288)) % 0.93/1.18 (step @p4877 :rule eq_resolve :premises (@p47 @p4876)) % 0.93/1.18 (step @p4878 :rule cong :premises (@p4877 @p4848) :args (@t2888)) % 0.93/1.18 (step @p4879 :rule aci_norm :args ((= (or false @t1525) @t1525))) % 0.93/1.18 (step @p4880 :rule refl :args (@t1525)) % 0.93/1.18 (step @p4881 :rule nary_cong :premises (@p1384 @p4880) :args (@t2889)) % 0.93/1.18 (step @p4882 :rule trans :premises (@p4881 @p4879)) % 0.93/1.18 (step @p4883 :rule cong :premises (@p4882) :args ((forall @t70 @t2889))) % 0.93/1.18 (step @p4884 :rule quant-var-elim-eq :args ((= (forall @t9 @t2890) @t2889))) % 0.93/1.18 (step @p4885 :rule aci_norm :args ((= @t2891 @t2890))) % 0.93/1.18 (step @p4886 :rule cong :premises (@p4885) :args (@t2892)) % 0.93/1.18 (step @p4887 :rule trans :premises (@p4886 @p4884)) % 0.93/1.18 (step @p4888 :rule cong :premises (@p4887) :args (@t2893)) % 0.93/1.18 (step @p4889 :rule quant-merge-prenex :args ((= @t2893 @t2894))) % 0.93/1.18 (step @p4890 :rule symm :premises (@p4889)) % 0.93/1.18 (step @p4891 :rule quant_var_reordering :args ((= (forall @t135 @t2891) @t2894))) % 0.93/1.18 (step @p4892 :rule trans :premises (@p4891 @p4890 @p4888)) % 0.93/1.18 (step @p4893 :rule trans :premises (@p4892 @p4883)) % 0.93/1.18 (step @p4894 :rule nary_cong :premises (@p1409 @p4868) :args (@t2895)) % 0.93/1.18 (step @p4895 :rule cong :premises (@p4894) :args ((forall @t135 @t2895))) % 0.93/1.18 (step @p4896 :rule trans :premises (@p4895 @p4893)) % 0.93/1.18 (step @p4897 :rule bool-impl-elim :args (@t129 @t276)) % 0.93/1.18 (step @p4898 :rule cong :premises (@p4897) :args (@t285)) % 0.93/1.18 (step @p4899 :rule trans :premises (@p4898 @p4896)) % 0.93/1.18 (step @p4900 :rule refl :args (tptp.eqinunit)) % 0.93/1.18 (step @p4901 :rule cong :premises (@p4900 @p4899) :args (@t286)) % 0.93/1.18 (step @p4902 :rule eq_resolve :premises (@p46 @p4901)) % 0.93/1.18 (step @p4903 :rule cong :premises (@p4902 @p4878) :args (@t2896)) % 0.93/1.18 (step @p4904 :rule cong :premises (@p4858) :args (@t281)) % 0.93/1.18 (step @p4905 :rule nary_cong :premises (@p1331 @p4904) :args (@t2897)) % 0.93/1.18 (step @p4906 :rule cong :premises (@p4905) :args ((forall @t135 @t2897))) % 0.93/1.18 (step @p4907 :rule refl :args (@t281)) % 0.93/1.18 (step @p4908 :rule bool-double-not-elim :args (@t129)) % 0.93/1.18 (step @p4909 :rule nary_cong :premises (@p4908 @p4907) :args ((or (not @t282) @t281))) % 0.93/1.18 (step @p4910 :rule bool-impl-elim :args (@t282 @t281)) % 0.93/1.18 (step @p4911 :rule trans :premises (@p4910 @p4909)) % 0.93/1.18 (step @p4912 :rule cong :premises (@p4911) :args (@t283)) % 0.93/1.18 (step @p4913 :rule trans :premises (@p4912 @p4906)) % 0.93/1.18 (step @p4914 :rule refl :args (tptp.notinsingleton)) % 0.93/1.18 (step @p4915 :rule cong :premises (@p4914 @p4913) :args (@t284)) % 0.93/1.18 (step @p4916 :rule eq_resolve :premises (@p45 @p4915)) % 0.93/1.18 (step @p4917 :rule cong :premises (@p4916 @p4903) :args (@t2898)) % 0.93/1.18 (step @p4918 :rule nary_cong :premises (@p4869 @p1331) :args (@t2899)) % 0.93/1.18 (step @p4919 :rule cong :premises (@p4918) :args ((forall @t135 @t2899))) % 0.93/1.18 (step @p4920 :rule bool-impl-elim :args (@t276 @t129)) % 0.93/1.18 (step @p4921 :rule cong :premises (@p4920) :args (@t277)) % 0.93/1.18 (step @p4922 :rule trans :premises (@p4921 @p4919)) % 0.93/1.18 (step @p4923 :rule refl :args (tptp.uniqinunit)) % 0.93/1.18 (step @p4924 :rule cong :premises (@p4923 @p4922) :args (@t278)) % 0.93/1.18 (step @p4925 :rule eq_resolve :premises (@p44 @p4924)) % 0.93/1.18 (step @p4926 :rule cong :premises (@p4925 @p4917) :args (@t2900)) % 0.93/1.18 (step @p4927 :rule refl :args (@t1533)) % 0.93/1.18 (step @p4928 :rule bool-double-not-elim :args (@t196)) % 0.93/1.18 (step @p4929 :rule nary_cong :premises (@p4928 @p4927) :args ((or (not @t2901) @t1533))) % 0.93/1.18 (step @p4930 :rule bool-impl-elim :args (@t2901 @t1533)) % 0.93/1.18 (step @p4931 :rule trans :premises (@p4930 @p4929)) % 0.93/1.18 (step @p4932 :rule cong :premises (@p4931) :args ((forall @t64 (=> @t2901 @t1533)))) % 0.93/1.18 (step @p4933 :rule cong :premises (@p747) :args (@t198)) % 0.93/1.18 (step @p4934 :rule cong :premises (@p4933) :args (@t2902)) % 0.93/1.18 (step @p4935 :rule exists-elim :args ((= @t89 @t2902))) % 0.93/1.18 (step @p4936 :rule trans :premises (@p4935 @p4934)) % 0.93/1.18 (step @p4937 :rule aci_norm :args ((= @t269 @t7))) % 0.93/1.18 (step @p4938 :rule cong :premises (@p4937) :args (@t270)) % 0.93/1.18 (step @p4939 :rule trans :premises (@p4938 @p4936)) % 0.93/1.18 (step @p4940 :rule beta-reduce :args ((= @t2903 @t2901))) % 0.93/1.18 (step @p4941 :rule cong :premises (@p4940 @p4939) :args (@t2904)) % 0.93/1.18 (step @p4942 :rule cong :premises (@p4941) :args (@t2905)) % 0.93/1.18 (step @p4943 :rule trans :premises (@p4942 @p4932)) % 0.93/1.18 (step @p4944 :rule refl :args (tptp.nonemptyImpWitness)) % 0.93/1.18 (step @p4945 :rule cong :premises (@p4944 @p4943) :args ((= tptp.nonemptyImpWitness @t2905))) % 0.93/1.18 (step @p4946 :rule refl :args (@t270)) % 0.93/1.18 (step @p4947 :rule ho_cong :premises (@p192 @p637)) % 0.93/1.18 (step @p4948 :rule cong :premises (@p4947 @p4946) :args (@t271)) % 0.93/1.18 (step @p4949 :rule cong :premises (@p4948) :args (@t272)) % 0.93/1.18 (step @p4950 :rule cong :premises (@p4944 @p4949) :args (@t273)) % 0.93/1.18 (step @p4951 :rule trans :premises (@p4950 @p4945)) % 0.93/1.18 (step @p4952 :rule eq_resolve :premises (@p43 @p4951)) % 0.93/1.18 (step @p4953 :rule cong :premises (@p4952 @p4926) :args (@t2906)) % 0.93/1.18 (step @p4954 :rule eq-symm :args (@t1536 @t19)) % 0.93/1.18 (step @p4955 :rule nary_cong :premises (@p3953 @p4954) :args (@t2907)) % 0.93/1.18 (step @p4956 :rule cong :premises (@p4955) :args (@t2908)) % 0.93/1.18 (step @p4957 :rule cong :premises (@p4956) :args (@t2909)) % 0.93/1.18 (step @p4958 :rule refl :args (@t1537)) % 0.93/1.18 (step @p4959 :rule refl :args (@t1540)) % 0.93/1.18 (step @p4960 :rule nary_cong :premises (@p4959 @p4958 @p4957) :args (@t2910)) % 0.93/1.18 (step @p4961 :rule aci_norm :args ((= @t2912 @t2910))) % 0.93/1.18 (step @p4962 :rule trans :premises (@p4961 @p4960)) % 0.93/1.18 (step @p4963 :rule cong :premises (@p4962) :args (@t2913)) % 0.93/1.18 (step @p4964 :rule quant-merge-prenex :args ((= (forall @t150 @t2915) @t2913))) % 0.93/1.18 (step @p4965 :rule refl :args (@t1540)) % 0.93/1.18 (step @p4966 :rule alpha_equiv :args (@t2916 (@list @t1536) @t2008)) % 0.93/1.18 (step @p4967 :rule nary_cong :premises (@p4966 @p4965) :args (@t2917)) % 0.93/1.18 (step @p4968 :rule quant-miniscope-or :args ((= @t2915 @t2917))) % 0.93/1.18 (step @p4969 :rule trans :premises (@p4968 @p4967)) % 0.93/1.18 (step @p4970 :rule symm :premises (@p4969)) % 0.93/1.18 (step @p4971 :rule cong :premises (@p4970) :args ((forall @t150 (or @t1484 @t1540)))) % 0.93/1.18 (step @p4972 :rule trans :premises (@p4971 @p4964)) % 0.93/1.18 (step @p4973 :rule trans :premises (@p4972 @p4963)) % 0.93/1.18 (step @p4974 :rule nary_cong :premises (@p4021 @p4965) :args ((or @t2644 @t1540))) % 0.93/1.18 (step @p4975 :rule bool-impl-elim :args (@t1485 @t1540)) % 0.93/1.18 (step @p4976 :rule trans :premises (@p4975 @p4974)) % 0.93/1.18 (step @p4977 :rule cong :premises (@p4976) :args ((forall @t150 (=> @t1485 @t1540)))) % 0.93/1.18 (step @p4978 :rule trans :premises (@p4977 @p4973)) % 0.93/1.18 (step @p4979 :rule cong :premises (@p4073 @p4516) :args (@t2918)) % 0.93/1.18 (step @p4980 :rule cong :premises (@p4979) :args (@t2919)) % 0.93/1.18 (step @p4981 :rule trans :premises (@p4980 @p4978)) % 0.93/1.18 (step @p4982 :rule refl :args (tptp.exuE2)) % 0.93/1.18 (step @p4983 :rule cong :premises (@p4982 @p4981) :args ((= tptp.exuE2 @t2919))) % 0.93/1.18 (step @p4984 :rule cong :premises (@p4116 @p4522) :args (@t266)) % 0.93/1.18 (step @p4985 :rule cong :premises (@p4984) :args (@t267)) % 0.93/1.18 (step @p4986 :rule cong :premises (@p4982 @p4985) :args (@t268)) % 0.93/1.18 (step @p4987 :rule trans :premises (@p4986 @p4983)) % 0.93/1.18 (step @p4988 :rule eq_resolve :premises (@p42 @p4987)) % 0.93/1.18 (step @p4989 :rule cong :premises (@p4988 @p4953) :args (@t2920)) % 0.93/1.18 (step @p4990 :rule refl :args ((tptp.in @t4 @t259))) % 0.93/1.18 (step @p4991 :rule refl :args ((tptp.powerset @t43))) % 0.93/1.18 (step @p4992 :rule cong :premises (@p2108) :args (@t1544)) % 0.93/1.18 (step @p4993 :rule trans :premises (@p4992 @p4991)) % 0.93/1.18 (step @p4994 :rule cong :premises (@p1006 @p4993) :args (@t1545)) % 0.93/1.18 (step @p4995 :rule trans :premises (@p4994 @p4990)) % 0.93/1.18 (step @p4996 :rule ho_cong :premises (@p2111 @p4993)) % 0.93/1.18 (step @p4997 :rule cong :premises (@p4996 @p4995) :args ((= (_ @t5 @t1544) @t1545))) % 0.93/1.18 (step @p4998 :rule symm :premises (@p4997)) % 0.93/1.18 (step @p4999 :rule refl :args (@t260)) % 0.93/1.18 (step @p5000 :rule eq_resolve :premises (@p4999 @p4998)) % 0.93/1.18 (step @p5001 :rule ho_cong :premises (@p2279 @p2108)) % 0.93/1.18 (step @p5002 :rule cong :premises (@p5001 @p4993) :args ((= (_ tptp.powerset @t1268) @t1544))) % 0.93/1.18 (step @p5003 :rule symm :premises (@p5002)) % 0.93/1.18 (step @p5004 :rule refl :args (@t259)) % 0.93/1.18 (step @p5005 :rule eq_resolve :premises (@p5004 @p5003)) % 0.93/1.18 (step @p5006 :rule ho_cong :premises (@p2279 @p2120)) % 0.93/1.18 (step @p5007 :rule trans :premises (@p5006 @p5005)) % 0.93/1.18 (step @p5008 :rule ho_cong :premises (@p2111 @p5007)) % 0.93/1.18 (step @p5009 :rule trans :premises (@p5008 @p5000)) % 0.93/1.18 (step @p5010 :rule nary_cong :premises (@p747 @p5009) :args (@t2921)) % 0.93/1.18 (step @p5011 :rule cong :premises (@p5010) :args ((forall @t46 @t2921))) % 0.93/1.18 (step @p5012 :rule bool-impl-elim :args (@t7 @t260)) % 0.93/1.18 (step @p5013 :rule cong :premises (@p5012) :args (@t261)) % 0.93/1.18 (step @p5014 :rule trans :premises (@p5013 @p5011)) % 0.93/1.18 (step @p5015 :rule refl :args (tptp.subPowSU)) % 0.93/1.18 (step @p5016 :rule cong :premises (@p5015 @p5014) :args (@t262)) % 0.93/1.18 (step @p5017 :rule eq_resolve :premises (@p41 @p5016)) % 0.93/1.18 (step @p5018 :rule cong :premises (@p5017 @p4989) :args (@t2922)) % 0.93/1.18 (step @p5019 :rule refl :args (@t1551)) % 0.93/1.18 (step @p5020 :rule nary_cong :premises (@p2123 @p5019) :args (@t2923)) % 0.93/1.18 (step @p5021 :rule cong :premises (@p5020) :args ((forall @t46 @t2923))) % 0.93/1.18 (step @p5022 :rule bool-impl-elim :args (@t44 @t1551)) % 0.93/1.18 (step @p5023 :rule cong :premises (@p5022) :args ((forall @t46 (=> @t44 @t1551)))) % 0.93/1.18 (step @p5024 :rule trans :premises (@p5023 @p5021)) % 0.93/1.18 (step @p5025 :rule aci_norm :args ((= (and true @t1551) @t1551))) % 0.93/1.18 (step @p5026 :rule refl :args (@t1551)) % 0.93/1.18 (step @p5027 :rule nary_cong :premises (@p2773 @p5026) :args (@t2924)) % 0.93/1.18 (step @p5028 :rule trans :premises (@p5027 @p5025)) % 0.93/1.18 (step @p5029 :rule aci_norm :args ((= @t2925 @t2924))) % 0.93/1.18 (step @p5030 :rule trans :premises (@p5029 @p5028)) % 0.93/1.18 (step @p5031 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2420 @t2926 @t173)) @t2925))) % 0.93/1.18 (step @p5032 :rule refl :args (@t2926)) % 0.93/1.18 (step @p5033 :rule nary_cong :premises (@p2794 @p5032 @p2786) :args (@t2927)) % 0.93/1.18 (step @p5034 :rule aci_norm :args ((= @t2928 @t2927))) % 0.93/1.18 (step @p5035 :rule trans :premises (@p5034 @p5033)) % 0.93/1.18 (step @p5036 :rule cong :premises (@p5035) :args ((forall @t179 @t2928))) % 0.93/1.18 (step @p5037 :rule trans :premises (@p5036 @p5031)) % 0.93/1.18 (step @p5038 :rule trans :premises (@p5037 @p5030)) % 0.93/1.18 (step @p5039 :rule bool-or-de-morgan :args (@t173 @t1550 false)) % 0.93/1.18 (step @p5040 :rule nary_cong :premises (@p5039 @p2786) :args ((or (not @t2929) @t173))) % 0.93/1.18 (step @p5041 :rule bool-impl-elim :args (@t2929 @t173)) % 0.93/1.18 (step @p5042 :rule trans :premises (@p5041 @p5040)) % 0.93/1.18 (step @p5043 :rule cong :premises (@p5042) :args ((forall @t179 (=> @t2929 @t173)))) % 0.93/1.18 (step @p5044 :rule trans :premises (@p5043 @p5038)) % 0.93/1.18 (step @p5045 :rule refl :args (@t173)) % 0.93/1.18 (step @p5046 :rule refl :args (@t1548)) % 0.93/1.18 (step @p5047 :rule refl :args (@t39)) % 0.93/1.18 (step @p5048 :rule cong :premises (@p5047 @p5046) :args ((= @t39 @t1548))) % 0.93/1.18 (step @p5049 :rule symm :premises (@p5048)) % 0.93/1.18 (step @p5050 :rule eq_resolve :premises (@p5047 @p5049)) % 0.93/1.18 (step @p5051 :rule cong :premises (@p5050) :args (@t2930)) % 0.93/1.18 (step @p5052 :rule nary_cong :premises (@p2715 @p5051) :args (@t2931)) % 0.93/1.18 (step @p5053 :rule cong :premises (@p5052) :args (@t2932)) % 0.93/1.18 (step @p5054 :rule nary_cong :premises (@p5045 @p5053) :args (@t2933)) % 0.93/1.18 (step @p5055 :rule quant-miniscope-or :args ((= (forall @t41 @t2934) @t2933))) % 0.93/1.18 (step @p5056 :rule aci_norm :args ((= @t2935 @t2934))) % 0.93/1.18 (step @p5057 :rule cong :premises (@p5056) :args ((forall @t41 @t2935))) % 0.93/1.18 (step @p5058 :rule trans :premises (@p5057 @p5055)) % 0.93/1.18 (step @p5059 :rule trans :premises (@p5058 @p5054)) % 0.93/1.18 (step @p5060 :rule aci_norm :args ((= (or @t435 (or @t2930 @t173)) @t2935))) % 0.93/1.18 (step @p5061 :rule bool-impl-elim :args (@t39 @t173)) % 0.93/1.18 (step @p5062 :rule refl :args (@t435)) % 0.93/1.18 (step @p5063 :rule nary_cong :premises (@p5062 @p5061) :args ((or @t435 @t252))) % 0.93/1.18 (step @p5064 :rule trans :premises (@p5063 @p5060)) % 0.93/1.18 (step @p5065 :rule bool-impl-elim :args (@t6 @t252)) % 0.93/1.18 (step @p5066 :rule trans :premises (@p5065 @p5064)) % 0.93/1.18 (step @p5067 :rule cong :premises (@p5066) :args (@t253)) % 0.93/1.18 (step @p5068 :rule trans :premises (@p5067 @p5059)) % 0.93/1.18 (step @p5069 :rule cong :premises (@p5068 @p5045) :args (@t254)) % 0.93/1.18 (step @p5070 :rule cong :premises (@p5069) :args (@t255)) % 0.93/1.18 (step @p5071 :rule trans :premises (@p5070 @p5044)) % 0.93/1.18 (step @p5072 :rule cong :premises (@p2149 @p5071) :args (@t256)) % 0.93/1.18 (step @p5073 :rule cong :premises (@p5072) :args (@t257)) % 0.93/1.18 (step @p5074 :rule trans :premises (@p5073 @p5024)) % 0.93/1.18 (step @p5075 :rule refl :args (tptp.setunionE)) % 0.93/1.18 (step @p5076 :rule cong :premises (@p5075 @p5074) :args (@t258)) % 0.93/1.18 (step @p5077 :rule eq_resolve :premises (@p40 @p5076)) % 0.93/1.18 (step @p5078 :rule cong :premises (@p5077 @p5018) :args (@t2936)) % 0.93/1.18 (step @p5079 :rule nary_cong :premises (@p2715 @p5051 @p2122) :args (@t2937)) % 0.93/1.18 (step @p5080 :rule cong :premises (@p5079) :args ((forall @t249 @t2937))) % 0.93/1.18 (step @p5081 :rule aci_norm :args ((= (or @t435 (or @t2930 @t44)) @t2937))) % 0.93/1.18 (step @p5082 :rule bool-impl-elim :args (@t39 @t44)) % 0.93/1.18 (step @p5083 :rule nary_cong :premises (@p5062 @p5082) :args ((or @t435 @t248))) % 0.93/1.18 (step @p5084 :rule trans :premises (@p5083 @p5081)) % 0.93/1.18 (step @p5085 :rule bool-impl-elim :args (@t6 @t248)) % 0.93/1.18 (step @p5086 :rule trans :premises (@p5085 @p5084)) % 0.93/1.18 (step @p5087 :rule cong :premises (@p5086) :args (@t250)) % 0.93/1.18 (step @p5088 :rule trans :premises (@p5087 @p5080)) % 0.93/1.18 (step @p5089 :rule refl :args (tptp.setunionI)) % 0.93/1.18 (step @p5090 :rule cong :premises (@p5089 @p5088) :args (@t251)) % 0.93/1.18 (step @p5091 :rule eq_resolve :premises (@p39 @p5090)) % 0.93/1.18 (step @p5092 :rule cong :premises (@p5091 @p5078) :args (@t2938)) % 0.93/1.18 (step @p5093 :rule nary_cong :premises (@p3480 @p2715 @p723) :args (@t2939)) % 0.93/1.18 (step @p5094 :rule cong :premises (@p5093) :args ((forall @t245 @t2939))) % 0.93/1.18 (step @p5095 :rule aci_norm :args ((= (or @t2520 @t2940) @t2939))) % 0.93/1.18 (step @p5096 :rule bool-impl-elim :args (@t6 @t7)) % 0.93/1.18 (step @p5097 :rule refl :args (@t2520)) % 0.93/1.18 (step @p5098 :rule nary_cong :premises (@p5097 @p5096) :args ((or @t2520 @t31))) % 0.93/1.18 (step @p5099 :rule trans :premises (@p5098 @p5095)) % 0.93/1.18 (step @p5100 :rule bool-impl-elim :args (@t35 @t31)) % 0.93/1.18 (step @p5101 :rule trans :premises (@p5100 @p5099)) % 0.93/1.18 (step @p5102 :rule cong :premises (@p5101) :args (@t246)) % 0.93/1.18 (step @p5103 :rule trans :premises (@p5102 @p5094)) % 0.93/1.18 (step @p5104 :rule refl :args (tptp.powersetE)) % 0.93/1.18 (step @p5105 :rule cong :premises (@p5104 @p5103) :args (@t247)) % 0.93/1.18 (step @p5106 :rule eq_resolve :premises (@p38 @p5105)) % 0.93/1.18 (step @p5107 :rule cong :premises (@p5106 @p5092) :args (@t2941)) % 0.93/1.18 (step @p5108 :rule eq-symm :args (@t1559 tptp.emptyInPowerset)) % 0.93/1.18 (step @p5109 :rule refl :args (tptp.emptyInPowerset)) % 0.93/1.18 (step @p5110 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 0.93/1.18 (step @p5111 :rule cong :premises (@p251 @p2537) :args (@t1558)) % 0.93/1.18 (step @p5112 :rule trans :premises (@p5111 @p5110)) % 0.93/1.18 (step @p5113 :rule ho_cong :premises (@p254 @p2537)) % 0.93/1.18 (step @p5114 :rule cong :premises (@p5113 @p5112) :args ((= (_ @t49 @t1324) @t1558))) % 0.93/1.18 (step @p5115 :rule symm :premises (@p5114)) % 0.93/1.18 (step @p5116 :rule refl :args (@t242)) % 0.93/1.18 (step @p5117 :rule eq_resolve :premises (@p5116 @p5115)) % 0.93/1.18 (step @p5118 :rule ho_cong :premises (@p254 @p2548)) % 0.93/1.18 (step @p5119 :rule trans :premises (@p5118 @p5117)) % 0.93/1.18 (step @p5120 :rule cong :premises (@p5119) :args (@t243)) % 0.93/1.18 (step @p5121 :rule cong :premises (@p5120 @p5109) :args ((= @t243 tptp.emptyInPowerset))) % 0.93/1.18 (step @p5122 :rule trans :premises (@p5121 @p5108)) % 0.93/1.18 (step @p5123 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 0.93/1.18 (step @p5124 :rule trans :premises (@p5123 @p5122)) % 0.93/1.18 (step @p5125 :rule eq_resolve :premises (@p37 @p5124)) % 0.93/1.18 (step @p5126 :rule cong :premises (@p5125 @p5107) :args (@t2942)) % 0.93/1.18 (step @p5127 :rule refl :args (tptp.emptyinPowerset)) % 0.93/1.18 (step @p5128 :rule cong :premises (@p5127 @p5120) :args (@t244)) % 0.93/1.18 (step @p5129 :rule eq_resolve :premises (@p36 @p5128)) % 0.93/1.18 (step @p5130 :rule cong :premises (@p5129 @p5126) :args (@t2943)) % 0.93/1.18 (step @p5131 :rule refl :args (@t1563)) % 0.93/1.18 (step @p5132 :rule nary_cong :premises (@p5131 @p3479) :args (@t2944)) % 0.93/1.18 (step @p5133 :rule cong :premises (@p5132) :args ((forall @t12 @t2944))) % 0.93/1.18 (step @p5134 :rule bool-impl-elim :args (@t1562 @t35)) % 0.93/1.18 (step @p5135 :rule cong :premises (@p5134) :args ((forall @t12 (=> @t1562 @t35)))) % 0.93/1.18 (step @p5136 :rule trans :premises (@p5135 @p5133)) % 0.93/1.18 (step @p5137 :rule refl :args (@t35)) % 0.93/1.18 (step @p5138 :rule nary_cong :premises (@p2715 @p723) :args (@t2940)) % 0.93/1.18 (step @p5139 :rule cong :premises (@p5138) :args ((forall @t9 @t2940))) % 0.93/1.18 (step @p5140 :rule cong :premises (@p5096) :args (@t32)) % 0.93/1.18 (step @p5141 :rule trans :premises (@p5140 @p5139)) % 0.93/1.18 (step @p5142 :rule cong :premises (@p5141 @p5137) :args (@t239)) % 0.93/1.18 (step @p5143 :rule cong :premises (@p5142) :args (@t240)) % 0.93/1.18 (step @p5144 :rule trans :premises (@p5143 @p5136)) % 0.93/1.18 (step @p5145 :rule refl :args (tptp.powersetI)) % 0.93/1.18 (step @p5146 :rule cong :premises (@p5145 @p5144) :args (@t241)) % 0.93/1.18 (step @p5147 :rule eq_resolve :premises (@p35 @p5146)) % 0.93/1.18 (step @p5148 :rule cong :premises (@p5147 @p5130) :args (@t2945)) % 0.93/1.18 (step @p5149 :rule refl :args (@t1568)) % 0.93/1.18 (step @p5150 :rule refl :args (@t1567)) % 0.93/1.18 (step @p5151 :rule cong :premises (@p654 @p5150) :args (@t1568)) % 0.93/1.18 (step @p5152 :rule trans :premises (@p5151 @p5149)) % 0.93/1.18 (step @p5153 :rule ho_cong :premises (@p1844 @p5150)) % 0.93/1.18 (step @p5154 :rule cong :premises (@p5153 @p5152) :args ((= @t2946 @t1568))) % 0.93/1.18 (step @p5155 :rule symm :premises (@p5154)) % 0.93/1.18 (step @p5156 :rule refl :args ((_ @t155 @t1567))) % 0.93/1.18 (step @p5157 :rule eq_resolve :premises (@p5156 @p5155)) % 0.93/1.18 (step @p5158 :rule cong :premises (@p654 @p5157) :args (@t2947)) % 0.93/1.18 (step @p5159 :rule cong :premises (@p5158) :args ((forall @t64 @t2947))) % 0.93/1.18 (step @p5160 :rule eq-symm :args (@t2946 @t2)) % 0.93/1.18 (step @p5161 :rule symm :premises (@p5150)) % 0.93/1.18 (step @p5162 :rule alpha_equiv :args (@t235 @t2008 (@list @t1566))) % 0.93/1.18 (step @p5163 :rule trans :premises (@p5162 @p5161)) % 0.93/1.18 (step @p5164 :rule refl :args (@t155)) % 0.93/1.18 (step @p5165 :rule ho_cong :premises (@p5164 @p5163)) % 0.93/1.18 (step @p5166 :rule cong :premises (@p5165 @p637) :args (@t236)) % 0.93/1.18 (step @p5167 :rule trans :premises (@p5166 @p5160)) % 0.93/1.18 (step @p5168 :rule cong :premises (@p5167) :args (@t237)) % 0.93/1.18 (step @p5169 :rule trans :premises (@p5168 @p5159)) % 0.93/1.18 (step @p5170 :rule refl :args (tptp.setoftrueEq)) % 0.93/1.18 (step @p5171 :rule cong :premises (@p5170 @p5169) :args (@t238)) % 0.93/1.18 (step @p5172 :rule eq_resolve :premises (@p34 @p5171)) % 0.93/1.18 (step @p5173 :rule cong :premises (@p5172 @p5148) :args (@t2948)) % 0.93/1.18 (step @p5174 :rule refl :args ((tptp.in @t19 @t25))) % 0.93/1.18 (step @p5175 :rule cong :premises (@p958 @p3575) :args (@t1571)) % 0.93/1.18 (step @p5176 :rule trans :premises (@p5175 @p5174)) % 0.93/1.18 (step @p5177 :rule ho_cong :premises (@p2618 @p3575)) % 0.93/1.18 (step @p5178 :rule cong :premises (@p5177 @p5176) :args ((= (_ @t20 @t1427) @t1571))) % 0.93/1.18 (step @p5179 :rule symm :premises (@p5178)) % 0.93/1.18 (step @p5180 :rule refl :args (@t26)) % 0.93/1.18 (step @p5181 :rule eq_resolve :premises (@p5180 @p5179)) % 0.93/1.18 (step @p5182 :rule ho_cong :premises (@p2618 @p3586)) % 0.93/1.18 (step @p5183 :rule trans :premises (@p5182 @p5181)) % 0.93/1.18 (step @p5184 :rule cong :premises (@p5183) :args (@t2949)) % 0.93/1.18 (step @p5185 :rule nary_cong :premises (@p5184 @p1331 @p1797) :args (@t2950)) % 0.93/1.18 (step @p5186 :rule cong :premises (@p5185) :args ((forall @t28 @t2950))) % 0.93/1.18 (step @p5187 :rule aci_norm :args ((= (or @t2949 @t2951) @t2950))) % 0.93/1.18 (step @p5188 :rule bool-impl-elim :args (@t26 @t2951)) % 0.93/1.18 (step @p5189 :rule trans :premises (@p5188 @p5187)) % 0.93/1.18 (step @p5190 :rule cong :premises (@p5189) :args ((forall @t28 (=> @t26 @t2951)))) % 0.93/1.18 (step @p5191 :rule trans :premises (@p5190 @p5186)) % 0.93/1.18 (step @p5192 :rule nary_cong :premises (@p1966 @p1969) :args (@t23)) % 0.93/1.18 (step @p5193 :rule refl :args (@t26)) % 0.93/1.18 (step @p5194 :rule cong :premises (@p5193 @p5192) :args (@t232)) % 0.93/1.18 (step @p5195 :rule cong :premises (@p5194) :args (@t233)) % 0.93/1.18 (step @p5196 :rule trans :premises (@p5195 @p5191)) % 0.93/1.18 (step @p5197 :rule refl :args (tptp.setadjoinOr)) % 0.93/1.18 (step @p5198 :rule cong :premises (@p5197 @p5196) :args (@t234)) % 0.93/1.18 (step @p5199 :rule eq_resolve :premises (@p33 @p5198)) % 0.93/1.18 (step @p5200 :rule cong :premises (@p5199 @p5173) :args (@t2952)) % 0.93/1.18 (step @p5201 :rule refl :args (@t1244)) % 0.93/1.18 (step @p5202 :rule nary_cong :premises (@p5184 @p1331 @p5201) :args (@t2953)) % 0.93/1.18 (step @p5203 :rule cong :premises (@p5202) :args ((forall @t28 @t2953))) % 0.93/1.18 (step @p5204 :rule aci_norm :args ((= (or @t2949 @t1724) @t2953))) % 0.93/1.18 (step @p5205 :rule bool-impl-elim :args (@t26 @t1724)) % 0.93/1.18 (step @p5206 :rule trans :premises (@p5205 @p5204)) % 0.93/1.18 (step @p5207 :rule cong :premises (@p5206) :args ((forall @t28 (=> @t26 @t1724)))) % 0.93/1.18 (step @p5208 :rule trans :premises (@p5207 @p5203)) % 0.93/1.18 (step @p5209 :rule aci_norm :args ((= (and @t1244 true) @t1244))) % 0.93/1.18 (step @p5210 :rule refl :args (@t1244)) % 0.93/1.18 (step @p5211 :rule nary_cong :premises (@p5210 @p2773) :args (@t2954)) % 0.93/1.18 (step @p5212 :rule trans :premises (@p5211 @p5209)) % 0.93/1.18 (step @p5213 :rule aci_norm :args ((= (and @t129 true) @t129))) % 0.93/1.18 (step @p5214 :rule nary_cong :premises (@p1443 @p2773) :args (@t2955)) % 0.93/1.18 (step @p5215 :rule trans :premises (@p5214 @p5213)) % 0.93/1.18 (step @p5216 :rule nary_cong :premises (@p5215 @p5212) :args (@t2956)) % 0.93/1.18 (step @p5217 :rule aci_norm :args ((= @t2957 @t2956))) % 0.93/1.18 (step @p5218 :rule trans :premises (@p5217 @p5216)) % 0.93/1.18 (step @p5219 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2420 @t2959 @t2958 @t173)) @t2957))) % 0.93/1.18 (step @p5220 :rule refl :args (@t2958)) % 0.93/1.18 (step @p5221 :rule refl :args (@t2959)) % 0.93/1.18 (step @p5222 :rule nary_cong :premises (@p2794 @p5221 @p5220 @p2786) :args (@t2960)) % 0.93/1.18 (step @p5223 :rule aci_norm :args ((= @t2961 @t2960))) % 0.93/1.18 (step @p5224 :rule trans :premises (@p5223 @p5222)) % 0.93/1.18 (step @p5225 :rule cong :premises (@p5224) :args ((forall @t179 @t2961))) % 0.93/1.18 (step @p5226 :rule trans :premises (@p5225 @p5219)) % 0.93/1.18 (step @p5227 :rule trans :premises (@p5226 @p5218)) % 0.93/1.18 (step @p5228 :rule nary_cong :premises (@p1797 @p2801) :args (@t2962)) % 0.93/1.18 (step @p5229 :rule nary_cong :premises (@p5221 @p5228 @p2786) :args (@t2963)) % 0.93/1.18 (step @p5230 :rule cong :premises (@p5229) :args ((forall @t179 @t2963))) % 0.93/1.18 (step @p5231 :rule trans :premises (@p5230 @p5227)) % 0.93/1.18 (step @p5232 :rule aci_norm :args ((= (or @t2959 (or @t2962 @t173)) @t2963))) % 0.93/1.18 (step @p5233 :rule bool-implies-de-morgan :args (@t21 @t173)) % 0.93/1.19 (step @p5234 :rule nary_cong :premises (@p5233 @p2786) :args ((or (not @t224) @t173))) % 0.93/1.19 (step @p5235 :rule bool-impl-elim :args (@t224 @t173)) % 0.93/1.19 (step @p5236 :rule trans :premises (@p5235 @p5234)) % 0.93/1.19 (step @p5237 :rule bool-implies-de-morgan :args (@t129 @t173)) % 0.93/1.19 (step @p5238 :rule nary_cong :premises (@p5237 @p5236) :args ((or (not @t2964) @t225))) % 0.93/1.19 (step @p5239 :rule trans :premises (@p5238 @p5232)) % 0.93/1.19 (step @p5240 :rule bool-impl-elim :args (@t2964 @t225)) % 0.93/1.19 (step @p5241 :rule trans :premises (@p5240 @p5239)) % 0.93/1.19 (step @p5242 :rule cong :premises (@p5241) :args ((forall @t179 (=> @t2964 @t225)))) % 0.93/1.19 (step @p5243 :rule trans :premises (@p5242 @p5231)) % 0.93/1.19 (step @p5244 :rule refl :args (@t225)) % 0.93/1.19 (step @p5245 :rule cong :premises (@p1966 @p5045) :args (@t226)) % 0.93/1.19 (step @p5246 :rule cong :premises (@p5245 @p5244) :args (@t227)) % 0.93/1.19 (step @p5247 :rule cong :premises (@p5246) :args (@t228)) % 0.93/1.19 (step @p5248 :rule trans :premises (@p5247 @p5243)) % 0.93/1.19 (step @p5249 :rule cong :premises (@p5193 @p5248) :args (@t229)) % 0.93/1.19 (step @p5250 :rule cong :premises (@p5249) :args (@t230)) % 0.93/1.19 (step @p5251 :rule trans :premises (@p5250 @p5208)) % 0.93/1.19 (step @p5252 :rule refl :args (tptp.setadjoinE)) % 0.93/1.19 (step @p5253 :rule cong :premises (@p5252 @p5251) :args (@t231)) % 0.93/1.19 (step @p5254 :rule eq_resolve :premises (@p32 @p5253)) % 0.93/1.19 (step @p5255 :rule cong :premises (@p5254 @p5200) :args (@t2965)) % 0.93/1.19 (step @p5256 :rule nary_cong :premises (@p1798 @p5183) :args (@t2966)) % 0.93/1.19 (step @p5257 :rule cong :premises (@p5256) :args ((forall @t28 @t2966))) % 0.93/1.19 (step @p5258 :rule bool-impl-elim :args (@t21 @t26)) % 0.93/1.19 (step @p5259 :rule cong :premises (@p5258) :args (@t222)) % 0.93/1.19 (step @p5260 :rule trans :premises (@p5259 @p5257)) % 0.93/1.19 (step @p5261 :rule refl :args (tptp.setadjoinIR)) % 0.93/1.19 (step @p5262 :rule cong :premises (@p5261 @p5260) :args (@t223)) % 0.93/1.19 (step @p5263 :rule eq_resolve :premises (@p31 @p5262)) % 0.93/1.19 (step @p5264 :rule cong :premises (@p5263 @p5255) :args (@t2967)) % 0.93/1.19 (step @p5265 :rule cong :premises (@p30 @p5264) :args (@t2968)) % 0.93/1.19 (step @p5266 :rule refl :args ((tptp.in @t4 @t216))) % 0.93/1.19 (step @p5267 :rule refl :args (@t1580)) % 0.93/1.19 (step @p5268 :rule cong :premises (@p1006 @p5267) :args (@t1581)) % 0.93/1.19 (step @p5269 :rule trans :premises (@p5268 @p5266)) % 0.93/1.19 (step @p5270 :rule ho_cong :premises (@p2111 @p5267)) % 0.93/1.19 (step @p5271 :rule cong :premises (@p5270 @p5269) :args ((= (_ @t5 @t1580) @t1581))) % 0.93/1.19 (step @p5272 :rule symm :premises (@p5271)) % 0.93/1.19 (step @p5273 :rule refl :args (@t217)) % 0.93/1.19 (step @p5274 :rule eq_resolve :premises (@p5273 @p5272)) % 0.93/1.19 (step @p5275 :rule refl :args (@t216)) % 0.93/1.19 (step @p5276 :rule cong :premises (@p5275 @p5267) :args ((= @t216 @t1580))) % 0.93/1.19 (step @p5277 :rule symm :premises (@p5276)) % 0.93/1.19 (step @p5278 :rule eq_resolve :premises (@p5275 @p5277)) % 0.93/1.19 (step @p5279 :rule ho_cong :premises (@p2111 @p5278)) % 0.93/1.19 (step @p5280 :rule trans :premises (@p5279 @p5274)) % 0.93/1.19 (step @p5281 :rule cong :premises (@p5280) :args (@t218)) % 0.93/1.19 (step @p5282 :rule refl :args (tptp.setadjoinIL)) % 0.93/1.19 (step @p5283 :rule cong :premises (@p5282 @p5281) :args (@t219)) % 0.93/1.19 (step @p5284 :rule eq_resolve :premises (@p29 @p5283)) % 0.93/1.19 (step @p5285 :rule cong :premises (@p5284 @p5265) :args (@t2969)) % 0.93/1.19 (step @p5286 :rule aci_norm :args ((= (or @t1585 false) @t1585))) % 0.93/1.19 (step @p5287 :rule cong :premises (@p4318) :args (@t2970)) % 0.93/1.19 (step @p5288 :rule trans :premises (@p5287 @p1345)) % 0.93/1.19 (step @p5289 :rule refl :args (@t1585)) % 0.93/1.19 (step @p5290 :rule nary_cong :premises (@p5289 @p5288) :args (@t2971)) % 0.93/1.19 (step @p5291 :rule trans :premises (@p5290 @p5286)) % 0.93/1.19 (step @p5292 :rule cong :premises (@p5291) :args ((forall @t1586 @t2971))) % 0.93/1.19 (step @p5293 :rule quant-var-elim-eq :args ((= (forall @t64 @t2973) @t2971))) % 0.93/1.19 (step @p5294 :rule aci_norm :args ((= @t2974 @t2973))) % 0.93/1.19 (step @p5295 :rule cong :premises (@p5294) :args (@t2975)) % 0.93/1.19 (step @p5296 :rule trans :premises (@p5295 @p5293)) % 0.93/1.19 (step @p5297 :rule cong :premises (@p5296) :args (@t2976)) % 0.93/1.19 (step @p5298 :rule quant-merge-prenex :args ((= @t2976 @t2977))) % 0.93/1.19 (step @p5299 :rule symm :premises (@p5298)) % 0.93/1.19 (step @p5300 :rule quant_var_reordering :args ((= @t2978 @t2977))) % 0.93/1.19 (step @p5301 :rule trans :premises (@p5300 @p5299 @p5297)) % 0.93/1.19 (step @p5302 :rule trans :premises (@p5301 @p5292)) % 0.93/1.19 (step @p5303 :rule quant-merge-prenex :args ((= (forall @t64 @t2979) @t2978))) % 0.93/1.19 (step @p5304 :rule refl :args (@t2901)) % 0.93/1.19 (step @p5305 :rule alpha_equiv :args (@t2980 (@list @t1584) @t2008)) % 0.93/1.19 (step @p5306 :rule nary_cong :premises (@p5305 @p5304) :args (@t2981)) % 0.93/1.19 (step @p5307 :rule quant-miniscope-or :args ((= @t2979 @t2981))) % 0.93/1.19 (step @p5308 :rule trans :premises (@p5307 @p5306)) % 0.93/1.19 (step @p5309 :rule symm :premises (@p5308)) % 0.93/1.19 (step @p5310 :rule cong :premises (@p5309) :args ((forall @t64 (or @t1532 @t2901)))) % 0.93/1.19 (step @p5311 :rule trans :premises (@p5310 @p5303)) % 0.93/1.19 (step @p5312 :rule trans :premises (@p5311 @p5302)) % 0.93/1.19 (step @p5313 :rule bool-double-not-elim :args (@t1532)) % 0.93/1.19 (step @p5314 :rule nary_cong :premises (@p5313 @p5304) :args ((or @t2982 @t2901))) % 0.93/1.19 (step @p5315 :rule bool-impl-elim :args (@t1533 @t2901)) % 0.93/1.19 (step @p5316 :rule trans :premises (@p5315 @p5314)) % 0.93/1.19 (step @p5317 :rule cong :premises (@p5316) :args ((forall @t64 (=> @t1533 @t2901)))) % 0.93/1.19 (step @p5318 :rule trans :premises (@p5317 @p5312)) % 0.93/1.19 (step @p5319 :rule cong :premises (@p4936 @p4940) :args (@t2983)) % 0.93/1.19 (step @p5320 :rule cong :premises (@p5319) :args (@t2984)) % 0.93/1.19 (step @p5321 :rule trans :premises (@p5320 @p5318)) % 0.93/1.19 (step @p5322 :rule refl :args (tptp.nonemptyI1)) % 0.93/1.19 (step @p5323 :rule cong :premises (@p5322 @p5321) :args ((= tptp.nonemptyI1 @t2984))) % 0.93/1.19 (step @p5324 :rule refl :args (@t89)) % 0.93/1.19 (step @p5325 :rule cong :premises (@p5324 @p4947) :args (@t213)) % 0.93/1.19 (step @p5326 :rule cong :premises (@p5325) :args (@t214)) % 0.93/1.19 (step @p5327 :rule cong :premises (@p5322 @p5326) :args (@t215)) % 0.93/1.19 (step @p5328 :rule trans :premises (@p5327 @p5323)) % 0.93/1.19 (step @p5329 :rule eq_resolve :premises (@p28 @p5328)) % 0.93/1.19 (step @p5330 :rule cong :premises (@p5329 @p5285) :args (@t2985)) % 0.93/1.19 (step @p5331 :rule cong :premises (@p204 @p1937) :args (@t2986)) % 0.93/1.19 (step @p5332 :rule cong :premises (@p5331) :args (@t2987)) % 0.93/1.19 (step @p5333 :rule refl :args (@t1229)) % 0.93/1.19 (step @p5334 :rule nary_cong :premises (@p2775 @p5333 @p5332) :args (@t2988)) % 0.93/1.19 (step @p5335 :rule cong :premises (@p5334) :args ((forall @t159 @t2988))) % 0.93/1.19 (step @p5336 :rule refl :args (@t2251)) % 0.93/1.19 (step @p5337 :rule cong :premises (@p1787) :args (@t2244)) % 0.93/1.19 (step @p5338 :rule cong :premises (@p654 @p5337) :args (@t2245)) % 0.93/1.19 (step @p5339 :rule trans :premises (@p5338 @p5336)) % 0.93/1.19 (step @p5340 :rule ho_cong :premises (@p1844 @p5337)) % 0.93/1.19 (step @p5341 :rule cong :premises (@p5340 @p5339) :args ((= (_ @t155 @t2244) @t2245))) % 0.93/1.19 (step @p5342 :rule symm :premises (@p5341)) % 0.93/1.19 (step @p5343 :rule refl :args (@t156)) % 0.93/1.19 (step @p5344 :rule eq_resolve :premises (@p5343 @p5342)) % 0.93/1.19 (step @p5345 :rule ho_cong :premises (@p1844 @p1944)) % 0.93/1.19 (step @p5346 :rule trans :premises (@p5345 @p5344)) % 0.93/1.19 (step @p5347 :rule cong :premises (@p251 @p5346) :args (@t2989)) % 0.93/1.19 (step @p5348 :rule cong :premises (@p5347) :args (@t2990)) % 0.93/1.19 (step @p5349 :rule nary_cong :premises (@p747 @p1756 @p5348) :args (@t2991)) % 0.93/1.19 (step @p5350 :rule cong :premises (@p5349) :args ((forall @t159 @t2991))) % 0.93/1.19 (step @p5351 :rule trans :premises (@p5350 @p5335)) % 0.93/1.19 (step @p5352 :rule aci_norm :args ((= (or @t197 (or @t315 @t2990)) @t2991))) % 0.93/1.19 (step @p5353 :rule bool-impl-elim :args (@t144 @t2990)) % 0.93/1.19 (step @p5354 :rule nary_cong :premises (@p1909 @p5353) :args ((or @t197 @t2992))) % 0.93/1.19 (step @p5355 :rule trans :premises (@p5354 @p5352)) % 0.93/1.19 (step @p5356 :rule bool-impl-elim :args (@t7 @t2992)) % 0.93/1.19 (step @p5357 :rule trans :premises (@p5356 @p5355)) % 0.93/1.19 (step @p5358 :rule cong :premises (@p5357) :args ((forall @t159 (=> @t7 @t2992)))) % 0.93/1.19 (step @p5359 :rule trans :premises (@p5358 @p5351)) % 0.93/1.19 (step @p5360 :rule eq-symm :args (@t156 tptp.emptyset)) % 0.93/1.19 (step @p5361 :rule cong :premises (@p5360) :args (@t2993)) % 0.93/1.19 (step @p5362 :rule beta-reduce :args ((= @t2994 @t2993))) % 0.93/1.19 (step @p5363 :rule trans :premises (@p5362 @p5361)) % 0.93/1.19 (step @p5364 :rule cong :premises (@p1924 @p5363) :args (@t2995)) % 0.93/1.19 (step @p5365 :rule cong :premises (@p769 @p5364) :args (@t2996)) % 0.93/1.19 (step @p5366 :rule cong :premises (@p5365) :args (@t2997)) % 0.93/1.19 (step @p5367 :rule trans :premises (@p5366 @p5359)) % 0.93/1.19 (step @p5368 :rule refl :args (tptp.nonemptyI)) % 0.93/1.19 (step @p5369 :rule cong :premises (@p5368 @p5367) :args ((= tptp.nonemptyI @t2997))) % 0.93/1.19 (step @p5370 :rule refl :args (@t156)) % 0.93/1.19 (step @p5371 :rule ho_cong :premises (@p192 @p5370)) % 0.93/1.19 (step @p5372 :rule cong :premises (@p1924 @p5371) :args (@t209)) % 0.93/1.19 (step @p5373 :rule cong :premises (@p769 @p5372) :args (@t210)) % 0.93/1.19 (step @p5374 :rule cong :premises (@p5373) :args (@t211)) % 0.93/1.19 (step @p5375 :rule cong :premises (@p5368 @p5374) :args (@t212)) % 0.93/1.19 (step @p5376 :rule trans :premises (@p5375 @p5369)) % 0.93/1.19 (step @p5377 :rule eq_resolve :premises (@p27 @p5376)) % 0.93/1.19 (step @p5378 :rule cong :premises (@p5377 @p5330) :args (@t2998)) % 0.93/1.19 (step @p5379 :rule cong :premises (@p4940 @p4936) :args (@t2999)) % 0.93/1.19 (step @p5380 :rule cong :premises (@p5379) :args (@t3000)) % 0.93/1.19 (step @p5381 :rule trans :premises (@p5380 @p4932)) % 0.93/1.19 (step @p5382 :rule refl :args (tptp.nonemptyE1)) % 0.93/1.19 (step @p5383 :rule cong :premises (@p5382 @p5381) :args ((= tptp.nonemptyE1 @t3000))) % 0.93/1.19 (step @p5384 :rule cong :premises (@p4947 @p5324) :args (@t206)) % 0.93/1.19 (step @p5385 :rule cong :premises (@p5384) :args (@t207)) % 0.93/1.19 (step @p5386 :rule cong :premises (@p5382 @p5385) :args (@t208)) % 0.93/1.19 (step @p5387 :rule trans :premises (@p5386 @p5383)) % 0.93/1.19 (step @p5388 :rule eq_resolve :premises (@p26 @p5387)) % 0.93/1.19 (step @p5389 :rule cong :premises (@p5388 @p5378) :args (@t3001)) % 0.93/1.19 (step @p5390 :rule refl :args (@t1228)) % 0.93/1.19 (step @p5391 :rule cong :premises (@p5390 @p1940) :args (@t3002)) % 0.93/1.19 (step @p5392 :rule nary_cong :premises (@p2775 @p5391) :args (@t3003)) % 0.93/1.19 (step @p5393 :rule cong :premises (@p5392) :args ((forall @t159 @t3003))) % 0.93/1.19 (step @p5394 :rule refl :args ((tptp.in @t4 @t156))) % 0.93/1.19 (step @p5395 :rule cong :premises (@p1006 @p5339) :args (@t2248)) % 0.93/1.19 (step @p5396 :rule trans :premises (@p5395 @p5394)) % 0.93/1.19 (step @p5397 :rule ho_cong :premises (@p2111 @p5339)) % 0.93/1.19 (step @p5398 :rule cong :premises (@p5397 @p5396) :args ((= (_ @t5 @t2245) @t2248))) % 0.93/1.19 (step @p5399 :rule symm :premises (@p5398)) % 0.93/1.19 (step @p5400 :rule refl :args (@t157)) % 0.93/1.19 (step @p5401 :rule eq_resolve :premises (@p5400 @p5399)) % 0.93/1.19 (step @p5402 :rule ho_cong :premises (@p2111 @p5346)) % 0.93/1.19 (step @p5403 :rule trans :premises (@p5402 @p5401)) % 0.93/1.19 (step @p5404 :rule cong :premises (@p1755 @p5403) :args (@t3004)) % 0.93/1.19 (step @p5405 :rule nary_cong :premises (@p747 @p5404) :args (@t3005)) % 0.93/1.19 (step @p5406 :rule cong :premises (@p5405) :args ((forall @t159 @t3005))) % 0.93/1.19 (step @p5407 :rule trans :premises (@p5406 @p5393)) % 0.93/1.19 (step @p5408 :rule bool-impl-elim :args (@t7 @t3004)) % 0.93/1.19 (step @p5409 :rule cong :premises (@p5408) :args ((forall @t159 (=> @t7 @t3004)))) % 0.93/1.19 (step @p5410 :rule trans :premises (@p5409 @p5407)) % 0.93/1.19 (step @p5411 :rule eq-symm :args (@t157 @t144)) % 0.93/1.19 (step @p5412 :rule cong :premises (@p769 @p5411) :args (@t202)) % 0.93/1.19 (step @p5413 :rule cong :premises (@p5412) :args (@t203)) % 0.93/1.19 (step @p5414 :rule trans :premises (@p5413 @p5410)) % 0.93/1.19 (step @p5415 :rule refl :args (tptp.setbeta)) % 0.93/1.19 (step @p5416 :rule cong :premises (@p5415 @p5414) :args (@t204)) % 0.93/1.19 (step @p5417 :rule eq_resolve :premises (@p25 @p5416)) % 0.93/1.19 (step @p5418 :rule cong :premises (@p5417 @p5389) :args (@t3006)) % 0.93/1.19 (step @p5419 :rule eq-symm :args (@t1594 tptp.noeltsimpempty)) % 0.93/1.19 (step @p5420 :rule refl :args (tptp.noeltsimpempty)) % 0.93/1.19 (step @p5421 :rule bool-impl-elim :args (@t1532 @t196)) % 0.93/1.19 (step @p5422 :rule cong :premises (@p5421) :args ((forall @t64 (=> @t1532 @t196)))) % 0.93/1.19 (step @p5423 :rule refl :args (@t196)) % 0.93/1.19 (step @p5424 :rule cong :premises (@p4933 @p5423) :args (@t199)) % 0.93/1.19 (step @p5425 :rule cong :premises (@p5424) :args (@t200)) % 0.93/1.19 (step @p5426 :rule trans :premises (@p5425 @p5422)) % 0.93/1.19 (step @p5427 :rule cong :premises (@p5426 @p5420) :args ((= @t200 tptp.noeltsimpempty))) % 0.93/1.19 (step @p5428 :rule trans :premises (@p5427 @p5419)) % 0.93/1.19 (step @p5429 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 0.93/1.19 (step @p5430 :rule trans :premises (@p5429 @p5428)) % 0.93/1.19 (step @p5431 :rule eq_resolve :premises (@p24 @p5430)) % 0.93/1.19 (step @p5432 :rule cong :premises (@p5431 @p5418) :args (@t3007)) % 0.93/1.19 (step @p5433 :rule refl :args (tptp.emptyI)) % 0.93/1.19 (step @p5434 :rule cong :premises (@p5433 @p5426) :args (@t201)) % 0.93/1.19 (step @p5435 :rule eq_resolve :premises (@p23 @p5434)) % 0.93/1.19 (step @p5436 :rule cong :premises (@p5435 @p5432) :args (@t3008)) % 0.93/1.19 (step @p5437 :rule aci_norm :args ((= (or @t1443 (or @t1563 @t3)) @t1597))) % 0.93/1.19 (step @p5438 :rule bool-impl-elim :args (@t1562 @t3)) % 0.93/1.19 (step @p5439 :rule nary_cong :premises (@p3755 @p5438) :args ((or @t1443 @t3009))) % 0.93/1.19 (step @p5440 :rule trans :premises (@p5439 @p5437)) % 0.93/1.19 (step @p5441 :rule bool-impl-elim :args (@t1442 @t3009)) % 0.93/1.19 (step @p5442 :rule trans :premises (@p5441 @p5440)) % 0.93/1.19 (step @p5443 :rule cong :premises (@p5442) :args ((forall @t12 (=> @t1442 @t3009)))) % 0.93/1.19 (step @p5444 :rule cong :premises (@p5141 @p3938) :args (@t190)) % 0.93/1.19 (step @p5445 :rule cong :premises (@p3764 @p5444) :args (@t193)) % 0.93/1.19 (step @p5446 :rule cong :premises (@p5445) :args (@t194)) % 0.93/1.19 (step @p5447 :rule trans :premises (@p5446 @p5443)) % 0.93/1.19 (step @p5448 :rule refl :args (tptp.setext)) % 0.93/1.19 (step @p5449 :rule cong :premises (@p5448 @p5447) :args (@t195)) % 0.93/1.19 (step @p5450 :rule eq_resolve :premises (@p22 @p5449)) % 0.93/1.19 (step @p5451 :rule cong :premises (@p5450 @p5436) :args (@t3010)) % 0.93/1.19 (step @p5452 :rule eq-symm :args (@t1600 @t19)) % 0.93/1.19 (step @p5453 :rule nary_cong :premises (@p3953 @p5452) :args (@t3011)) % 0.93/1.19 (step @p5454 :rule cong :premises (@p5453) :args (@t3012)) % 0.93/1.19 (step @p5455 :rule cong :premises (@p5454) :args (@t3013)) % 0.93/1.19 (step @p5456 :rule refl :args (@t1601)) % 0.93/1.19 (step @p5457 :rule refl :args (@t1603)) % 0.93/1.19 (step @p5458 :rule nary_cong :premises (@p5457 @p5456 @p5455) :args (@t3014)) % 0.93/1.19 (step @p5459 :rule aci_norm :args ((= @t3016 @t3014))) % 0.93/1.19 (step @p5460 :rule trans :premises (@p5459 @p5458)) % 0.93/1.19 (step @p5461 :rule cong :premises (@p5460) :args (@t3017)) % 0.93/1.19 (step @p5462 :rule quant-merge-prenex :args ((= (forall @t150 @t3019) @t3017))) % 0.93/1.19 (step @p5463 :rule refl :args (@t1603)) % 0.93/1.19 (step @p5464 :rule alpha_equiv :args (@t3020 (@list @t1600) @t2008)) % 0.93/1.19 (step @p5465 :rule nary_cong :premises (@p5464 @p5463) :args (@t3021)) % 0.93/1.19 (step @p5466 :rule quant-miniscope-or :args ((= @t3019 @t3021))) % 0.93/1.19 (step @p5467 :rule trans :premises (@p5466 @p5465)) % 0.93/1.19 (step @p5468 :rule symm :premises (@p5467)) % 0.93/1.19 (step @p5469 :rule cong :premises (@p5468) :args ((forall @t150 (or @t1484 @t1603)))) % 0.93/1.19 (step @p5470 :rule trans :premises (@p5469 @p5462)) % 0.93/1.19 (step @p5471 :rule trans :premises (@p5470 @p5461)) % 0.93/1.19 (step @p5472 :rule nary_cong :premises (@p4021 @p5463) :args ((or @t2644 @t1603))) % 0.93/1.19 (step @p5473 :rule bool-impl-elim :args (@t1485 @t1603)) % 0.93/1.19 (step @p5474 :rule trans :premises (@p5473 @p5472)) % 0.93/1.19 (step @p5475 :rule cong :premises (@p5474) :args ((forall @t150 (=> @t1485 @t1603)))) % 0.93/1.19 (step @p5476 :rule trans :premises (@p5475 @p5471)) % 0.93/1.19 (step @p5477 :rule cong :premises (@p4073 @p4555) :args (@t3022)) % 0.93/1.19 (step @p5478 :rule cong :premises (@p5477) :args (@t3023)) % 0.93/1.19 (step @p5479 :rule trans :premises (@p5478 @p5476)) % 0.93/1.19 (step @p5480 :rule refl :args (tptp.exuE3e)) % 0.93/1.19 (step @p5481 :rule cong :premises (@p5480 @p5479) :args ((= tptp.exuE3e @t3023))) % 0.93/1.19 (step @p5482 :rule cong :premises (@p4116 @p4562) :args (@t187)) % 0.93/1.19 (step @p5483 :rule cong :premises (@p5482) :args (@t188)) % 0.93/1.19 (step @p5484 :rule cong :premises (@p5480 @p5483) :args (@t189)) % 0.93/1.19 (step @p5485 :rule trans :premises (@p5484 @p5481)) % 0.93/1.19 (step @p5486 :rule eq_resolve :premises (@p21 @p5485)) % 0.93/1.19 (step @p5487 :rule cong :premises (@p5486 @p5451) :args (@t3024)) % 0.93/1.19 (step @p5488 :rule eq-symm :args (@t1607 tptp.notinemptyset)) % 0.93/1.19 (step @p5489 :rule refl :args (tptp.notinemptyset)) % 0.93/1.19 (step @p5490 :rule cong :premises (@p4775) :args (@t17)) % 0.93/1.19 (step @p5491 :rule cong :premises (@p5490 @p5489) :args ((= @t17 tptp.notinemptyset))) % 0.93/1.19 (step @p5492 :rule trans :premises (@p5491 @p5488)) % 0.93/1.19 (step @p5493 :rule eq-symm :args (tptp.notinemptyset @t17)) % 0.93/1.19 (step @p5494 :rule trans :premises (@p5493 @p5492)) % 0.93/1.19 (step @p5495 :rule eq_resolve :premises (@p20 @p5494)) % 0.93/1.19 (step @p5496 :rule cong :premises (@p5495 @p5487) :args (@t3025)) % 0.93/1.19 (step @p5497 :rule bool-impl-false1 :args (@t15)) % 0.93/1.19 (step @p5498 :rule cong :premises (@p5497) :args (@t184)) % 0.93/1.19 (step @p5499 :rule trans :premises (@p5498 @p5490)) % 0.93/1.19 (step @p5500 :rule refl :args (tptp.emptysetimpfalse)) % 0.93/1.19 (step @p5501 :rule cong :premises (@p5500 @p5499) :args (@t185)) % 0.93/1.19 (step @p5502 :rule eq_resolve :premises (@p19 @p5501)) % 0.93/1.19 (step @p5503 :rule cong :premises (@p5502 @p5496) :args (@t3026)) % 0.93/1.19 (step @p5504 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2420 @t173)) false))) % 0.93/1.19 (step @p5505 :rule nary_cong :premises (@p2794 @p2786) :args (@t3027)) % 0.93/1.19 (step @p5506 :rule aci_norm :args ((= @t173 @t3027))) % 0.93/1.19 (step @p5507 :rule trans :premises (@p5506 @p5505)) % 0.93/1.19 (step @p5508 :rule cong :premises (@p5507) :args (@t180)) % 0.93/1.19 (step @p5509 :rule trans :premises (@p5508 @p5504)) % 0.93/1.19 (step @p5510 :rule refl :args (@t15)) % 0.93/1.19 (step @p5511 :rule cong :premises (@p5510 @p5509) :args (@t181)) % 0.93/1.19 (step @p5512 :rule trans :premises (@p5511 @p5497)) % 0.93/1.19 (step @p5513 :rule cong :premises (@p5512) :args (@t182)) % 0.93/1.19 (step @p5514 :rule trans :premises (@p5513 @p5490)) % 0.93/1.19 (step @p5515 :rule refl :args (tptp.emptysetE)) % 0.93/1.19 (step @p5516 :rule cong :premises (@p5515 @p5514) :args (@t183)) % 0.93/1.19 (step @p5517 :rule eq_resolve :premises (@p18 @p5516)) % 0.93/1.19 (step @p5518 :rule cong :premises (@p5517 @p5503) :args (@t3028)) % 0.93/1.19 (step @p5519 :rule aci_norm :args ((= @t3029 @t1611))) % 0.93/1.19 (step @p5520 :rule cong :premises (@p5519) :args ((forall @t9 @t3029))) % 0.93/1.19 (step @p5521 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2420 @t3031 @t173)) @t3029))) % 0.93/1.19 (step @p5522 :rule refl :args (@t3031)) % 0.93/1.19 (step @p5523 :rule nary_cong :premises (@p2794 @p5522 @p2786) :args (@t3032)) % 0.93/1.19 (step @p5524 :rule aci_norm :args ((= @t3033 @t3032))) % 0.93/1.19 (step @p5525 :rule trans :premises (@p5524 @p5523)) % 0.93/1.19 (step @p5526 :rule cong :premises (@p5525) :args (@t3034)) % 0.93/1.19 (step @p5527 :rule trans :premises (@p5526 @p5521)) % 0.93/1.19 (step @p5528 :rule cong :premises (@p5527) :args (@t3035)) % 0.93/1.19 (step @p5529 :rule quant-merge-prenex :args ((= @t3035 @t3036))) % 0.93/1.19 (step @p5530 :rule symm :premises (@p5529)) % 0.93/1.19 (step @p5531 :rule quant_var_reordering :args ((= (forall @t176 @t3033) @t3036))) % 0.93/1.19 (step @p5532 :rule trans :premises (@p5531 @p5530 @p5528)) % 0.93/1.19 (step @p5533 :rule trans :premises (@p5532 @p5520)) % 0.93/1.19 (step @p5534 :rule refl :args ((tptp.in @t4 @t174))) % 0.93/1.19 (step @p5535 :rule cong :premises (@p1006 @p4676) :args (@t3030)) % 0.93/1.19 (step @p5536 :rule trans :premises (@p5535 @p5534)) % 0.93/1.19 (step @p5537 :rule ho_cong :premises (@p2111 @p4676)) % 0.93/1.19 (step @p5538 :rule cong :premises (@p5537 @p5536) :args ((= (_ @t5 @t2850) @t3030))) % 0.93/1.19 (step @p5539 :rule symm :premises (@p5538)) % 0.93/1.19 (step @p5540 :rule refl :args (@t175)) % 0.93/1.19 (step @p5541 :rule eq_resolve :premises (@p5540 @p5539)) % 0.93/1.19 (step @p5542 :rule ho_cong :premises (@p2111 @p4688)) % 0.93/1.19 (step @p5543 :rule trans :premises (@p5542 @p5541)) % 0.93/1.19 (step @p5544 :rule cong :premises (@p5543) :args (@t3037)) % 0.93/1.19 (step @p5545 :rule nary_cong :premises (@p5544 @p2786) :args (@t3038)) % 0.93/1.19 (step @p5546 :rule cong :premises (@p5545) :args ((forall @t176 @t3038))) % 0.93/1.19 (step @p5547 :rule trans :premises (@p5546 @p5533)) % 0.93/1.19 (step @p5548 :rule bool-impl-elim :args (@t175 @t173)) % 0.93/1.19 (step @p5549 :rule cong :premises (@p5548) :args (@t177)) % 0.93/1.19 (step @p5550 :rule trans :premises (@p5549 @p5547)) % 0.93/1.19 (step @p5551 :rule refl :args (tptp.prop2setE)) % 0.93/1.19 (step @p5552 :rule cong :premises (@p5551 @p5550) :args (@t178)) % 0.93/1.19 (step @p5553 :rule eq_resolve :premises (@p17 @p5552)) % 0.93/1.19 (step @p5554 :rule cong :premises (@p5553 @p5518) :args (@t3039)) % 0.93/1.19 (step @p5555 :rule bool-eq-true :args (tptp.exuE1)) % 0.93/1.19 (step @p5556 :rule symm :premises (@p5555)) % 0.93/1.19 (step @p5557 :rule cong :premises (@p4073 @p4111) :args (@t3040)) % 0.93/1.19 (step @p5558 :rule cong :premises (@p5557) :args (@t3041)) % 0.93/1.19 (step @p5559 :rule trans :premises (@p5558 @p4578)) % 0.93/1.19 (step @p5560 :rule refl :args (tptp.exuE1)) % 0.93/1.19 (step @p5561 :rule cong :premises (@p5560 @p5559) :args ((= tptp.exuE1 @t3041))) % 0.93/1.19 (step @p5562 :rule trans :premises (@p5561 @p5555)) % 0.93/1.19 (step @p5563 :rule cong :premises (@p4116 @p4585) :args (@t170)) % 0.93/1.19 (step @p5564 :rule cong :premises (@p5563) :args (@t171)) % 0.93/1.19 (step @p5565 :rule cong :premises (@p5560 @p5564) :args (@t172)) % 0.93/1.19 (step @p5566 :rule trans :premises (@p5565 @p5562)) % 0.93/1.19 (step @p5567 :rule eq_resolve :premises (@p16 @p5566)) % 0.93/1.19 (step @p5568 :rule eq_resolve :premises (@p5567 @p5556)) % 0.93/1.19 (step @p5569 :rule cong :premises (@p5568 @p5554) :args (@t3042)) % 0.93/1.19 (step @p5570 :rule nary_cong :premises (@p1941 @p5390) :args (@t3043)) % 0.93/1.19 (step @p5571 :rule cong :premises (@p5570) :args ((forall @t159 @t3043))) % 0.93/1.19 (step @p5572 :rule cong :premises (@p5403) :args (@t3044)) % 0.93/1.19 (step @p5573 :rule nary_cong :premises (@p5572 @p1755) :args (@t3045)) % 0.93/1.19 (step @p5574 :rule cong :premises (@p5573) :args ((forall @t159 @t3045))) % 0.93/1.19 (step @p5575 :rule trans :premises (@p5574 @p5571)) % 0.93/1.19 (step @p5576 :rule bool-impl-elim :args (@t157 @t144)) % 0.93/1.19 (step @p5577 :rule cong :premises (@p5576) :args (@t164)) % 0.93/1.19 (step @p5578 :rule trans :premises (@p5577 @p5575)) % 0.93/1.19 (step @p5579 :rule refl :args (tptp.dsetconstrER)) % 0.93/1.19 (step @p5580 :rule cong :premises (@p5579 @p5578) :args (@t165)) % 0.93/1.19 (step @p5581 :rule eq_resolve :premises (@p15 @p5580)) % 0.93/1.19 (step @p5582 :rule cong :premises (@p5581 @p5569) :args (@t3046)) % 0.93/1.19 (step @p5583 :rule nary_cong :premises (@p1941 @p716) :args (@t3047)) % 0.93/1.19 (step @p5584 :rule cong :premises (@p5583) :args ((forall @t159 @t3047))) % 0.93/1.19 (step @p5585 :rule nary_cong :premises (@p5572 @p723) :args (@t3048)) % 0.93/1.19 (step @p5586 :rule cong :premises (@p5585) :args ((forall @t159 @t3048))) % 0.93/1.19 (step @p5587 :rule trans :premises (@p5586 @p5584)) % 0.93/1.19 (step @p5588 :rule bool-impl-elim :args (@t157 @t7)) % 0.93/1.19 (step @p5589 :rule cong :premises (@p5588) :args (@t162)) % 0.93/1.19 (step @p5590 :rule trans :premises (@p5589 @p5587)) % 0.93/1.19 (step @p5591 :rule refl :args (tptp.dsetconstrEL)) % 0.93/1.19 (step @p5592 :rule cong :premises (@p5591 @p5590) :args (@t163)) % 0.93/1.19 (step @p5593 :rule eq_resolve :premises (@p14 @p5592)) % 0.93/1.19 (step @p5594 :rule cong :premises (@p5593 @p5582) :args (@t3049)) % 0.93/1.19 (step @p5595 :rule nary_cong :premises (@p2775 @p5333 @p1940) :args (@t3050)) % 0.93/1.19 (step @p5596 :rule cong :premises (@p5595) :args ((forall @t159 @t3050))) % 0.93/1.19 (step @p5597 :rule nary_cong :premises (@p747 @p1756 @p5403) :args (@t3051)) % 0.93/1.19 (step @p5598 :rule cong :premises (@p5597) :args ((forall @t159 @t3051))) % 0.93/1.19 (step @p5599 :rule trans :premises (@p5598 @p5596)) % 0.93/1.19 (step @p5600 :rule aci_norm :args ((= (or @t197 (or @t315 @t157)) @t3051))) % 0.93/1.19 (step @p5601 :rule bool-impl-elim :args (@t144 @t157)) % 0.93/1.19 (step @p5602 :rule nary_cong :premises (@p1909 @p5601) :args ((or @t197 @t158))) % 0.93/1.19 (step @p5603 :rule trans :premises (@p5602 @p5600)) % 0.93/1.19 (step @p5604 :rule bool-impl-elim :args (@t7 @t158)) % 0.93/1.19 (step @p5605 :rule trans :premises (@p5604 @p5603)) % 0.93/1.19 (step @p5606 :rule cong :premises (@p5605) :args (@t160)) % 0.93/1.19 (step @p5607 :rule trans :premises (@p5606 @p5599)) % 0.93/1.19 (step @p5608 :rule refl :args (tptp.dsetconstrI)) % 0.93/1.19 (step @p5609 :rule cong :premises (@p5608 @p5607) :args (@t161)) % 0.93/1.19 (step @p5610 :rule eq_resolve :premises (@p13 @p5609)) % 0.93/1.19 (step @p5611 :rule cong :premises (@p5610 @p5594) :args (@t3052)) % 0.93/1.19 (step @p5612 :rule eq-symm :args (@t1620 @t19)) % 0.93/1.19 (step @p5613 :rule nary_cong :premises (@p3953 @p5612) :args (@t3053)) % 0.93/1.19 (step @p5614 :rule cong :premises (@p5613) :args (@t3054)) % 0.93/1.19 (step @p5615 :rule cong :premises (@p5614) :args (@t3055)) % 0.93/1.19 (step @p5616 :rule refl :args (@t1621)) % 0.93/1.19 (step @p5617 :rule refl :args (@t1622)) % 0.93/1.19 (step @p5618 :rule nary_cong :premises (@p5617 @p5616 @p5615) :args (@t3056)) % 0.93/1.19 (step @p5619 :rule aci_norm :args ((= @t3058 @t3056))) % 0.93/1.19 (step @p5620 :rule trans :premises (@p5619 @p5618)) % 0.93/1.19 (step @p5621 :rule cong :premises (@p5620) :args (@t3059)) % 0.93/1.19 (step @p5622 :rule quant-merge-prenex :args ((= (forall @t150 @t3061) @t3059))) % 0.93/1.19 (step @p5623 :rule refl :args (@t1622)) % 0.93/1.19 (step @p5624 :rule alpha_equiv :args (@t3062 (@list @t1620) @t2008)) % 0.93/1.19 (step @p5625 :rule nary_cong :premises (@p5624 @p5623) :args (@t3063)) % 0.93/1.19 (step @p5626 :rule quant-miniscope-or :args ((= @t3061 @t3063))) % 0.93/1.19 (step @p5627 :rule trans :premises (@p5626 @p5625)) % 0.93/1.19 (step @p5628 :rule symm :premises (@p5627)) % 0.93/1.19 (step @p5629 :rule cong :premises (@p5628) :args ((forall @t150 (or @t1484 @t1622)))) % 0.93/1.19 (step @p5630 :rule trans :premises (@p5629 @p5622)) % 0.93/1.19 (step @p5631 :rule trans :premises (@p5630 @p5621)) % 0.93/1.19 (step @p5632 :rule cong :premises (@p3977) :args (@t3064)) % 0.93/1.19 (step @p5633 :rule nary_cong :premises (@p3980 @p5632) :args (@t3065)) % 0.93/1.19 (step @p5634 :rule cong :premises (@p5633) :args ((forall @t150 @t3065))) % 0.93/1.19 (step @p5635 :rule trans :premises (@p5634 @p5631)) % 0.93/1.19 (step @p5636 :rule refl :args ((_ @t143 @t146))) % 0.93/1.19 (step @p5637 :rule cong :premises (@p3997) :args (@t3064)) % 0.93/1.19 (step @p5638 :rule trans :premises (@p5637 @p5636)) % 0.93/1.19 (step @p5639 :rule refl :args (@t143)) % 0.93/1.19 (step @p5640 :rule ho_cong :premises (@p5639 @p3997)) % 0.93/1.19 (step @p5641 :rule cong :premises (@p5640 @p5638) :args ((= (_ @t143 @t2638) @t3064))) % 0.93/1.19 (step @p5642 :rule symm :premises (@p5641)) % 0.93/1.19 (step @p5643 :rule refl :args (@t147)) % 0.93/1.19 (step @p5644 :rule eq_resolve :premises (@p5643 @p5642)) % 0.93/1.19 (step @p5645 :rule ho_cong :premises (@p5639 @p4004)) % 0.93/1.19 (step @p5646 :rule trans :premises (@p5645 @p5644)) % 0.93/1.19 (step @p5647 :rule nary_cong :premises (@p4007 @p5646) :args (@t3066)) % 0.93/1.19 (step @p5648 :rule cong :premises (@p5647) :args ((forall @t150 @t3066))) % 0.93/1.19 (step @p5649 :rule trans :premises (@p5648 @p5635)) % 0.93/1.19 (step @p5650 :rule nary_cong :premises (@p4021 @p5643) :args ((or @t2644 @t147))) % 0.93/1.19 (step @p5651 :rule bool-impl-elim :args (@t1485 @t147)) % 0.93/1.19 (step @p5652 :rule trans :premises (@p5651 @p5650)) % 0.93/1.19 (step @p5653 :rule cong :premises (@p5652) :args ((forall @t150 (=> @t1485 @t147)))) % 0.93/1.19 (step @p5654 :rule trans :premises (@p5653 @p5649)) % 0.93/1.19 (step @p5655 :rule refl :args (@t147)) % 0.93/1.19 (step @p5656 :rule cong :premises (@p4073 @p5655) :args (@t3067)) % 0.93/1.19 (step @p5657 :rule cong :premises (@p5656) :args (@t3068)) % 0.93/1.19 (step @p5658 :rule trans :premises (@p5657 @p5654)) % 0.93/1.19 (step @p5659 :rule refl :args (tptp.descrp)) % 0.93/1.19 (step @p5660 :rule cong :premises (@p5659 @p5658) :args ((= tptp.descrp @t3068))) % 0.93/1.19 (step @p5661 :rule cong :premises (@p4116 @p5655) :args (@t149)) % 0.93/1.19 (step @p5662 :rule cong :premises (@p5661) :args (@t151)) % 0.93/1.19 (step @p5663 :rule cong :premises (@p5659 @p5662) :args (@t152)) % 0.93/1.19 (step @p5664 :rule trans :premises (@p5663 @p5660)) % 0.93/1.19 (step @p5665 :rule eq_resolve :premises (@p12 @p5664)) % 0.93/1.19 (step @p5666 :rule cong :premises (@p5665 @p5611) :args (@t3069)) % 0.93/1.19 (step @p5667 :rule aci_norm :args ((= (or @t1674 (or @t1667 (or @t1663 @t1651))) @t1675))) % 0.93/1.19 (step @p5668 :rule bool-and-de-morgan :args (@t1662 @t1650 true)) % 0.93/1.19 (step @p5669 :rule refl :args (@t1667)) % 0.93/1.19 (step @p5670 :rule nary_cong :premises (@p5669 @p5668) :args ((or @t1667 (not (and @t1662 @t1650))))) % 0.93/1.19 (step @p5671 :rule bool-and-de-morgan :args (@t1666 @t1662 (and @t1650))) % 0.93/1.19 (step @p5672 :rule trans :premises (@p5671 @p5670)) % 0.93/1.19 (step @p5673 :rule refl :args (@t1674)) % 0.93/1.19 (step @p5674 :rule nary_cong :premises (@p5673 @p5672) :args ((or @t1674 (not (and @t1666 @t1662 @t1650))))) % 0.93/1.19 (step @p5675 :rule bool-and-de-morgan :args (@t1673 @t1666 (and @t1662 @t1650))) % 0.93/1.19 (step @p5676 :rule trans :premises (@p5675 @p5674)) % 0.93/1.19 (step @p5677 :rule trans :premises (@p5676 @p5667)) % 0.93/1.19 (step @p5678 :rule cong :premises (@p5677) :args (@t3071)) % 0.93/1.19 (step @p5679 :rule cong :premises (@p5678) :args (@t3072)) % 0.93/1.19 (step @p5680 :rule exists-elim :args ((= (exists @t41 @t3070) @t3072))) % 0.93/1.19 (step @p5681 :rule trans :premises (@p5680 @p5679)) % 0.93/1.19 (step @p5682 :rule quant-merge-prenex :args ((= (forall @t118 @t3074) @t1650))) % 0.93/1.19 (step @p5683 :rule refl :args (@t1644)) % 0.93/1.19 (step @p5684 :rule alpha_equiv :args (@t3075 (@list @t1645) @t2008)) % 0.93/1.19 (step @p5685 :rule refl :args (@t1648)) % 0.93/1.19 (step @p5686 :rule nary_cong :premises (@p5685 @p5684 @p5683) :args (@t3076)) % 0.93/1.19 (step @p5687 :rule quant-miniscope-or :args ((= @t3074 @t3076))) % 0.93/1.19 (step @p5688 :rule trans :premises (@p5687 @p5686)) % 0.93/1.19 (step @p5689 :rule symm :premises (@p5688)) % 0.93/1.19 (step @p5690 :rule cong :premises (@p5689) :args ((forall @t118 @t3078))) % 0.93/1.19 (step @p5691 :rule trans :premises (@p5690 @p5682)) % 0.93/1.19 (step @p5692 :rule aci_norm :args ((= (or (or @t1648 @t3077) @t1644) @t3078))) % 0.93/1.19 (step @p5693 :rule bool-double-not-elim :args (@t3077)) % 0.93/1.19 (step @p5694 :rule nary_cong :premises (@p5685 @p5693) :args ((or @t1648 (not @t3079)))) % 0.93/1.19 (step @p5695 :rule bool-and-de-morgan :args (@t1647 @t3079 true)) % 0.93/1.19 (step @p5696 :rule trans :premises (@p5695 @p5694)) % 0.93/1.19 (step @p5697 :rule nary_cong :premises (@p5696 @p5683) :args ((or (not @t3080) @t1644))) % 0.93/1.19 (step @p5698 :rule trans :premises (@p5697 @p5692)) % 0.93/1.19 (step @p5699 :rule bool-impl-elim :args (@t3080 @t1644)) % 0.93/1.19 (step @p5700 :rule trans :premises (@p5699 @p5698)) % 0.93/1.19 (step @p5701 :rule cong :premises (@p5700) :args ((forall @t118 (=> @t3080 @t1644)))) % 0.93/1.19 (step @p5702 :rule trans :premises (@p5701 @p5691)) % 0.93/1.19 (step @p5703 :rule refl :args (@t1635)) % 0.93/1.19 (step @p5704 :rule refl :args (@t1639)) % 0.93/1.19 (step @p5705 :rule refl :args (@t1640)) % 0.93/1.19 (step @p5706 :rule refl :args (@t109)) % 0.93/1.19 (step @p5707 :rule cong :premises (@p5706 @p5705) :args ((= @t109 @t1640))) % 0.93/1.19 (step @p5708 :rule symm :premises (@p5707)) % 0.93/1.19 (step @p5709 :rule eq_resolve :premises (@p5706 @p5708)) % 0.93/1.19 (step @p5710 :rule cong :premises (@p5709) :args (@t3081)) % 0.93/1.19 (step @p5711 :rule refl :args (@t1642)) % 0.93/1.19 (step @p5712 :rule refl :args (@t110)) % 0.93/1.19 (step @p5713 :rule cong :premises (@p5712 @p5711) :args ((= @t110 @t1642))) % 0.93/1.19 (step @p5714 :rule symm :premises (@p5713)) % 0.93/1.19 (step @p5715 :rule eq_resolve :premises (@p5712 @p5714)) % 0.93/1.19 (step @p5716 :rule cong :premises (@p5715) :args (@t3082)) % 0.93/1.19 (step @p5717 :rule nary_cong :premises (@p5716 @p5710 @p5704 @p5703) :args (@t3083)) % 0.93/1.19 (step @p5718 :rule cong :premises (@p5717) :args ((forall @t112 @t3083))) % 0.93/1.19 (step @p5719 :rule aci_norm :args ((= (or @t3082 (or @t3081 (or @t1639 @t1635))) @t3083))) % 0.93/1.19 (step @p5720 :rule bool-and-de-morgan :args (@t1638 @t1634 true)) % 0.93/1.19 (step @p5721 :rule refl :args (@t3081)) % 0.93/1.19 (step @p5722 :rule nary_cong :premises (@p5721 @p5720) :args ((or @t3081 (not (and @t1638 @t1634))))) % 0.93/1.19 (step @p5723 :rule bool-and-de-morgan :args (@t109 @t1638 (and @t1634))) % 0.93/1.19 (step @p5724 :rule trans :premises (@p5723 @p5722)) % 0.93/1.19 (step @p5725 :rule refl :args (@t3082)) % 0.93/1.19 (step @p5726 :rule nary_cong :premises (@p5725 @p5724) :args ((or @t3082 (not (and @t109 @t1638 @t1634))))) % 0.93/1.19 (step @p5727 :rule bool-and-de-morgan :args (@t110 @t109 (and @t1638 @t1634))) % 0.93/1.19 (step @p5728 :rule trans :premises (@p5727 @p5726)) % 0.93/1.19 (step @p5729 :rule trans :premises (@p5728 @p5719)) % 0.93/1.19 (step @p5730 :rule cong :premises (@p5729) :args (@t3085)) % 0.93/1.19 (step @p5731 :rule trans :premises (@p5730 @p5718)) % 0.93/1.19 (step @p5732 :rule cong :premises (@p5731) :args (@t3086)) % 0.93/1.19 (step @p5733 :rule exists-elim :args ((= (exists @t112 @t3084) @t3086))) % 0.93/1.19 (step @p5734 :rule trans :premises (@p5733 @p5732)) % 0.93/1.19 (step @p5735 :rule aci_norm :args ((= @t3088 @t1632))) % 0.93/1.19 (step @p5736 :rule cong :premises (@p5735) :args (@t3089)) % 0.93/1.19 (step @p5737 :rule quant-merge-prenex :args ((= (forall @t102 @t3091) @t3089))) % 0.93/1.19 (step @p5738 :rule refl :args (@t1629)) % 0.93/1.19 (step @p5739 :rule alpha_equiv :args (@t3092 (@list @t1626) @t1924)) % 0.93/1.19 (step @p5740 :rule refl :args (@t1631)) % 0.93/1.19 (step @p5741 :rule nary_cong :premises (@p5740 @p5739 @p5738) :args (@t3093)) % 0.93/1.19 (step @p5742 :rule quant-miniscope-or :args ((= @t3091 @t3093))) % 0.93/1.19 (step @p5743 :rule trans :premises (@p5742 @p5741)) % 0.93/1.19 (step @p5744 :rule symm :premises (@p5743)) % 0.93/1.19 (step @p5745 :rule cong :premises (@p5744) :args ((forall @t102 (or @t1631 @t3095 @t1629)))) % 0.93/1.19 (step @p5746 :rule trans :premises (@p5745 @p5737)) % 0.93/1.19 (step @p5747 :rule trans :premises (@p5746 @p5736)) % 0.93/1.19 (step @p5748 :rule refl :args (@t1629)) % 0.93/1.19 (step @p5749 :rule refl :args (@t94)) % 0.93/1.19 (step @p5750 :rule cong :premises (@p5749 @p5748) :args ((= @t94 @t1629))) % 0.93/1.19 (step @p5751 :rule symm :premises (@p5750)) % 0.93/1.19 (step @p5752 :rule eq_resolve :premises (@p5749 @p5751)) % 0.93/1.19 (step @p5753 :rule refl :args (@t3095)) % 0.93/1.19 (step @p5754 :rule refl :args (@t1630)) % 0.93/1.19 (step @p5755 :rule refl :args (@t100)) % 0.93/1.19 (step @p5756 :rule cong :premises (@p5755 @p5754) :args ((= @t100 @t1630))) % 0.93/1.19 (step @p5757 :rule symm :premises (@p5756)) % 0.93/1.19 (step @p5758 :rule eq_resolve :premises (@p5755 @p5757)) % 0.93/1.19 (step @p5759 :rule cong :premises (@p5758) :args (@t3096)) % 0.93/1.19 (step @p5760 :rule nary_cong :premises (@p5759 @p5753 @p5752) :args (@t3097)) % 0.93/1.19 (step @p5761 :rule cong :premises (@p5760) :args ((forall @t102 @t3097))) % 0.93/1.19 (step @p5762 :rule trans :premises (@p5761 @p5747)) % 0.93/1.19 (step @p5763 :rule aci_norm :args ((= (or @t3096 @t3098) @t3097))) % 0.93/1.19 (step @p5764 :rule bool-impl-elim :args (@t100 @t3098)) % 0.93/1.19 (step @p5765 :rule trans :premises (@p5764 @p5763)) % 0.93/1.19 (step @p5766 :rule cong :premises (@p5765) :args ((forall @t102 (=> @t100 @t3098)))) % 0.93/1.19 (step @p5767 :rule trans :premises (@p5766 @p5762)) % 0.93/1.19 (step @p5768 :rule refl :args (@t94)) % 0.93/1.19 (step @p5769 :rule refl :args (@t1637)) % 0.93/1.19 (step @p5770 :rule refl :args (@t96)) % 0.93/1.19 (step @p5771 :rule cong :premises (@p5770 @p5769) :args ((= @t96 @t1637))) % 0.93/1.19 (step @p5772 :rule symm :premises (@p5771)) % 0.93/1.19 (step @p5773 :rule eq_resolve :premises (@p5770 @p5772)) % 0.93/1.19 (step @p5774 :rule refl :args (@t3094)) % 0.93/1.19 (step @p5775 :rule refl :args (@t97)) % 0.93/1.19 (step @p5776 :rule cong :premises (@p5775 @p5774) :args ((= @t97 @t3094))) % 0.93/1.19 (step @p5777 :rule symm :premises (@p5776)) % 0.93/1.19 (step @p5778 :rule eq_resolve :premises (@p5775 @p5777)) % 0.93/1.19 (step @p5779 :rule cong :premises (@p5778) :args (@t3099)) % 0.93/1.19 (step @p5780 :rule nary_cong :premises (@p5779 @p5773) :args (@t3100)) % 0.93/1.19 (step @p5781 :rule cong :premises (@p5780) :args ((forall @t70 @t3100))) % 0.93/1.19 (step @p5782 :rule bool-impl-elim :args (@t97 @t96)) % 0.93/1.19 (step @p5783 :rule cong :premises (@p5782) :args (@t98)) % 0.93/1.19 (step @p5784 :rule trans :premises (@p5783 @p5781)) % 0.93/1.19 (step @p5785 :rule nary_cong :premises (@p5784 @p5768) :args (@t99)) % 0.93/1.19 (step @p5786 :rule refl :args (@t100)) % 0.93/1.19 (step @p5787 :rule cong :premises (@p5786 @p5785) :args (@t101)) % 0.93/1.19 (step @p5788 :rule cong :premises (@p5787) :args (@t103)) % 0.93/1.19 (step @p5789 :rule trans :premises (@p5788 @p5767)) % 0.93/1.19 (step @p5790 :rule bool-double-not-elim :args (@t1638)) % 0.93/1.19 (step @p5791 :rule refl :args (@t1636)) % 0.93/1.19 (step @p5792 :rule refl :args (@t105)) % 0.93/1.19 (step @p5793 :rule cong :premises (@p5792 @p5791) :args ((= @t105 @t1636))) % 0.93/1.19 (step @p5794 :rule symm :premises (@p5793)) % 0.93/1.19 (step @p5795 :rule eq_resolve :premises (@p5792 @p5794)) % 0.93/1.19 (step @p5796 :rule cong :premises (@p5795) :args (@t3101)) % 0.93/1.19 (step @p5797 :rule cong :premises (@p5773) :args (@t3102)) % 0.93/1.19 (step @p5798 :rule nary_cong :premises (@p5797 @p5796) :args (@t3103)) % 0.93/1.19 (step @p5799 :rule cong :premises (@p5798) :args ((forall @t70 @t3103))) % 0.93/1.19 (step @p5800 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 0.93/1.19 (step @p5801 :rule cong :premises (@p5800) :args (@t3104)) % 0.93/1.19 (step @p5802 :rule trans :premises (@p5801 @p5799)) % 0.93/1.19 (step @p5803 :rule cong :premises (@p5802) :args (@t3105)) % 0.93/1.19 (step @p5804 :rule exists-elim :args ((= @t107 @t3105))) % 0.93/1.19 (step @p5805 :rule trans :premises (@p5804 @p5803)) % 0.93/1.19 (step @p5806 :rule cong :premises (@p5805) :args (@t108)) % 0.93/1.19 (step @p5807 :rule trans :premises (@p5806 @p5790)) % 0.93/1.19 (step @p5808 :rule refl :args (@t109)) % 0.93/1.19 (step @p5809 :rule refl :args (@t110)) % 0.93/1.19 (step @p5810 :rule nary_cong :premises (@p5809 @p5808 @p5807 @p5789) :args (@t111)) % 0.93/1.19 (step @p5811 :rule cong :premises (@p5810) :args (@t113)) % 0.93/1.19 (step @p5812 :rule trans :premises (@p5811 @p5734)) % 0.93/1.19 (step @p5813 :rule cong :premises (@p5710) :args (@t3106)) % 0.93/1.19 (step @p5814 :rule cong :premises (@p5813) :args (@t3107)) % 0.93/1.19 (step @p5815 :rule exists-elim :args ((= @t114 @t3107))) % 0.93/1.19 (step @p5816 :rule trans :premises (@p5815 @p5814)) % 0.93/1.19 (step @p5817 :rule nary_cong :premises (@p5710 @p723) :args (@t3108)) % 0.93/1.19 (step @p5818 :rule cong :premises (@p5817) :args ((forall @t9 @t3108))) % 0.93/1.19 (step @p5819 :rule bool-impl-elim :args (@t109 @t7)) % 0.93/1.19 (step @p5820 :rule cong :premises (@p5819) :args (@t115)) % 0.93/1.19 (step @p5821 :rule trans :premises (@p5820 @p5818)) % 0.93/1.19 (step @p5822 :rule nary_cong :premises (@p5821 @p5816) :args (@t116)) % 0.93/1.19 (step @p5823 :rule cong :premises (@p5822 @p5812) :args (@t117)) % 0.93/1.19 (step @p5824 :rule cong :premises (@p5823) :args (@t119)) % 0.93/1.19 (step @p5825 :rule trans :premises (@p5824 @p5702)) % 0.93/1.19 (step @p5826 :rule aci_norm :args ((= @t3111 @t1660))) % 0.93/1.19 (step @p5827 :rule cong :premises (@p5826) :args (@t3112)) % 0.93/1.19 (step @p5828 :rule quant-merge-prenex :args ((= (forall @t127 @t3113) @t3112))) % 0.93/1.19 (step @p5829 :rule alpha_equiv :args (@t3114 (@list @t1652) @t2008)) % 0.93/1.19 (step @p5830 :rule alpha_equiv :args (@t3115 (@list @t1655) @t2008)) % 0.93/1.19 (step @p5831 :rule refl :args (@t1643)) % 0.93/1.19 (step @p5832 :rule refl :args (@t1659)) % 0.93/1.19 (step @p5833 :rule nary_cong :premises (@p5832 @p5831 @p5830 @p5829) :args (@t3116)) % 0.93/1.19 (step @p5834 :rule quant-miniscope-or :args ((= @t3113 @t3116))) % 0.93/1.19 (step @p5835 :rule trans :premises (@p5834 @p5833)) % 0.93/1.19 (step @p5836 :rule symm :premises (@p5835)) % 0.93/1.19 (step @p5837 :rule cong :premises (@p5836) :args ((forall @t127 (or @t1659 @t1643 @t3119 @t3118)))) % 0.93/1.19 (step @p5838 :rule trans :premises (@p5837 @p5828)) % 0.93/1.19 (step @p5839 :rule trans :premises (@p5838 @p5827)) % 0.93/1.19 (step @p5840 :rule refl :args (@t3118)) % 0.93/1.19 (step @p5841 :rule refl :args (@t3119)) % 0.93/1.19 (step @p5842 :rule refl :args (@t1658)) % 0.93/1.19 (step @p5843 :rule refl :args (@t124)) % 0.93/1.19 (step @p5844 :rule cong :premises (@p5843 @p5842) :args ((= @t124 @t1658))) % 0.93/1.19 (step @p5845 :rule symm :premises (@p5844)) % 0.93/1.19 (step @p5846 :rule eq_resolve :premises (@p5843 @p5845)) % 0.93/1.19 (step @p5847 :rule cong :premises (@p5846) :args (@t3120)) % 0.93/1.19 (step @p5848 :rule nary_cong :premises (@p5847 @p5716 @p5841 @p5840) :args (@t3121)) % 0.93/1.19 (step @p5849 :rule cong :premises (@p5848) :args ((forall @t127 @t3121))) % 0.93/1.19 (step @p5850 :rule trans :premises (@p5849 @p5839)) % 0.93/1.19 (step @p5851 :rule aci_norm :args ((= (or (or @t3120 @t3082) @t3122) @t3121))) % 0.93/1.19 (step @p5852 :rule refl :args (@t3122)) % 0.93/1.19 (step @p5853 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 0.93/1.19 (step @p5854 :rule nary_cong :premises (@p5853 @p5852) :args ((or (not @t125) @t3122))) % 0.93/1.19 (step @p5855 :rule trans :premises (@p5854 @p5851)) % 0.93/1.19 (step @p5856 :rule bool-impl-elim :args (@t125 @t3122)) % 0.93/1.19 (step @p5857 :rule trans :premises (@p5856 @p5855)) % 0.93/1.19 (step @p5858 :rule cong :premises (@p5857) :args ((forall @t127 (=> @t125 @t3122)))) % 0.93/1.19 (step @p5859 :rule trans :premises (@p5858 @p5850)) % 0.93/1.19 (step @p5860 :rule refl :args (@t3117)) % 0.93/1.19 (step @p5861 :rule refl :args (@t120)) % 0.93/1.19 (step @p5862 :rule cong :premises (@p5861 @p5860) :args ((= @t120 @t3117))) % 0.93/1.19 (step @p5863 :rule symm :premises (@p5862)) % 0.93/1.19 (step @p5864 :rule eq_resolve :premises (@p5861 @p5863)) % 0.93/1.19 (step @p5865 :rule cong :premises (@p5864) :args (@t3123)) % 0.93/1.19 (step @p5866 :rule nary_cong :premises (@p5865 @p5709) :args (@t3124)) % 0.93/1.19 (step @p5867 :rule cong :premises (@p5866) :args ((forall @t9 @t3124))) % 0.93/1.19 (step @p5868 :rule bool-impl-elim :args (@t120 @t109)) % 0.93/1.19 (step @p5869 :rule cong :premises (@p5868) :args (@t121)) % 0.93/1.19 (step @p5870 :rule trans :premises (@p5869 @p5867)) % 0.93/1.19 (step @p5871 :rule nary_cong :premises (@p5710 @p5864) :args (@t3125)) % 0.93/1.19 (step @p5872 :rule cong :premises (@p5871) :args ((forall @t9 @t3125))) % 0.93/1.19 (step @p5873 :rule bool-impl-elim :args (@t109 @t120)) % 0.93/1.19 (step @p5874 :rule cong :premises (@p5873) :args (@t122)) % 0.93/1.19 (step @p5875 :rule trans :premises (@p5874 @p5872)) % 0.93/1.19 (step @p5876 :rule nary_cong :premises (@p5875 @p5870) :args (@t123)) % 0.93/1.19 (step @p5877 :rule refl :args (@t125)) % 0.93/1.19 (step @p5878 :rule cong :premises (@p5877 @p5876) :args (@t126)) % 0.93/1.19 (step @p5879 :rule cong :premises (@p5878) :args (@t128)) % 0.93/1.19 (step @p5880 :rule trans :premises (@p5879 @p5859)) % 0.93/1.19 (step @p5881 :rule refl :args (@t1665)) % 0.93/1.19 (step @p5882 :rule nary_cong :premises (@p747 @p1798 @p5881 @p1331) :args (@t3126)) % 0.93/1.19 (step @p5883 :rule cong :premises (@p5882) :args ((forall @t135 @t3126))) % 0.93/1.19 (step @p5884 :rule aci_norm :args ((= (or (or @t197 @t2191) (or @t1665 @t129)) @t3126))) % 0.93/1.19 (step @p5885 :rule bool-impl-elim :args (@t1664 @t129)) % 0.93/1.19 (step @p5886 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 0.93/1.19 (step @p5887 :rule nary_cong :premises (@p5886 @p5885) :args ((or (not @t133) @t3127))) % 0.93/1.19 (step @p5888 :rule trans :premises (@p5887 @p5884)) % 0.93/1.19 (step @p5889 :rule bool-impl-elim :args (@t133 @t3127)) % 0.93/1.19 (step @p5890 :rule trans :premises (@p5889 @p5888)) % 0.93/1.19 (step @p5891 :rule cong :premises (@p5890) :args ((forall @t135 (=> @t133 @t3127)))) % 0.93/1.19 (step @p5892 :rule trans :premises (@p5891 @p5883)) % 0.93/1.19 (step @p5893 :rule cong :premises (@p5709 @p5795) :args (@t130)) % 0.93/1.19 (step @p5894 :rule nary_cong :premises (@p5847 @p5893) :args (@t3128)) % 0.93/1.19 (step @p5895 :rule cong :premises (@p5894) :args ((forall @t118 @t3128))) % 0.93/1.19 (step @p5896 :rule bool-impl-elim :args (@t124 @t130)) % 0.93/1.19 (step @p5897 :rule cong :premises (@p5896) :args (@t131)) % 0.93/1.19 (step @p5898 :rule trans :premises (@p5897 @p5895)) % 0.93/1.19 (step @p5899 :rule cong :premises (@p5898 @p1443) :args (@t132)) % 0.93/1.19 (step @p5900 :rule refl :args (@t133)) % 0.93/1.19 (step @p5901 :rule cong :premises (@p5900 @p5899) :args (@t134)) % 0.93/1.19 (step @p5902 :rule cong :premises (@p5901) :args (@t136)) % 0.93/1.19 (step @p5903 :rule trans :premises (@p5902 @p5892)) % 0.93/1.19 (step @p5904 :rule aci_norm :args ((= @t3130 @t1671))) % 0.93/1.19 (step @p5905 :rule cong :premises (@p5904) :args (@t3131)) % 0.93/1.19 (step @p5906 :rule quant-merge-prenex :args ((= (forall @t118 @t3133) @t3131))) % 0.93/1.19 (step @p5907 :rule alpha_equiv :args (@t3134 (@list @t1668) @t2008)) % 0.93/1.19 (step @p5908 :rule nary_cong :premises (@p5832 @p5907) :args (@t3135)) % 0.93/1.19 (step @p5909 :rule quant-miniscope-or :args ((= @t3133 @t3135))) % 0.93/1.19 (step @p5910 :rule trans :premises (@p5909 @p5908)) % 0.93/1.19 (step @p5911 :rule symm :premises (@p5910)) % 0.93/1.19 (step @p5912 :rule cong :premises (@p5911) :args ((forall @t118 (or @t1659 @t1647)))) % 0.93/1.19 (step @p5913 :rule trans :premises (@p5912 @p5906)) % 0.93/1.19 (step @p5914 :rule trans :premises (@p5913 @p5905)) % 0.93/1.19 (step @p5915 :rule refl :args (@t1647)) % 0.93/1.19 (step @p5916 :rule nary_cong :premises (@p5847 @p5915) :args (@t3136)) % 0.93/1.19 (step @p5917 :rule cong :premises (@p5916) :args ((forall @t118 @t3136))) % 0.93/1.19 (step @p5918 :rule trans :premises (@p5917 @p5914)) % 0.93/1.19 (step @p5919 :rule bool-impl-elim :args (@t124 @t1647)) % 0.93/1.19 (step @p5920 :rule cong :premises (@p5919) :args ((forall @t118 (=> @t124 @t1647)))) % 0.93/1.19 (step @p5921 :rule trans :premises (@p5920 @p5918)) % 0.93/1.19 (step @p5922 :rule refl :args (@t124)) % 0.93/1.19 (step @p5923 :rule cong :premises (@p5922 @p5821) :args (@t137)) % 0.93/1.19 (step @p5924 :rule cong :premises (@p5923) :args (@t138)) % 0.93/1.19 (step @p5925 :rule trans :premises (@p5924 @p5921)) % 0.93/1.19 (step @p5926 :rule nary_cong :premises (@p5925 @p5903 @p5880 @p5825) :args (@t139)) % 0.93/1.19 (step @p5927 :rule cong :premises (@p5926) :args (@t140)) % 0.93/1.19 (step @p5928 :rule trans :premises (@p5927 @p5681)) % 0.93/1.19 (step @p5929 :rule cong :premises (@p5928) :args (@t141)) % 0.93/1.19 (step @p5930 :rule refl :args (tptp.wellorderingAx)) % 0.93/1.19 (step @p5931 :rule cong :premises (@p5930 @p5929) :args (@t142)) % 0.93/1.19 (step @p5932 :rule eq_resolve :premises (@p11 @p5931)) % 0.93/1.19 (step @p5933 :rule cong :premises (@p5932 @p5666) :args (@t3137)) % 0.93/1.19 (step @p5934 :rule quant-merge-prenex :args ((= (forall @t64 @t3139) @t1684))) % 0.93/1.19 (step @p5935 :rule refl :args (@t1680)) % 0.93/1.19 (step @p5936 :rule alpha_equiv :args (@t3140 (@list @t1681) @t2008)) % 0.93/1.19 (step @p5937 :rule nary_cong :premises (@p5936 @p5935) :args (@t3141)) % 0.93/1.19 (step @p5938 :rule quant-miniscope-or :args ((= @t3139 @t3141))) % 0.93/1.19 (step @p5939 :rule trans :premises (@p5938 @p5937)) % 0.93/1.19 (step @p5940 :rule symm :premises (@p5939)) % 0.93/1.19 (step @p5941 :rule cong :premises (@p5940) :args ((forall @t64 (or @t1532 @t1680)))) % 0.93/1.19 (step @p5942 :rule trans :premises (@p5941 @p5934)) % 0.93/1.19 (step @p5943 :rule nary_cong :premises (@p5313 @p5935) :args ((or @t2982 @t1680))) % 0.93/1.19 (step @p5944 :rule bool-impl-elim :args (@t1533 @t1680)) % 0.93/1.19 (step @p5945 :rule trans :premises (@p5944 @p5943)) % 0.93/1.19 (step @p5946 :rule cong :premises (@p5945) :args ((forall @t64 (=> @t1533 @t1680)))) % 0.93/1.19 (step @p5947 :rule trans :premises (@p5946 @p5942)) % 0.93/1.19 (step @p5948 :rule refl :args (@t1679)) % 0.93/1.19 (step @p5949 :rule nary_cong :premises (@p5051 @p5948) :args (@t3142)) % 0.93/1.19 (step @p5950 :rule cong :premises (@p5949) :args ((forall @t41 @t3142))) % 0.93/1.19 (step @p5951 :rule bool-and-de-morgan :args (@t39 @t1678 true)) % 0.93/1.19 (step @p5952 :rule cong :premises (@p5951) :args (@t3144)) % 0.93/1.19 (step @p5953 :rule trans :premises (@p5952 @p5950)) % 0.93/1.19 (step @p5954 :rule cong :premises (@p5953) :args (@t3145)) % 0.93/1.19 (step @p5955 :rule exists-elim :args ((= (exists @t41 @t3143) @t3145))) % 0.93/1.19 (step @p5956 :rule trans :premises (@p5955 @p5954)) % 0.93/1.19 (step @p5957 :rule bool-double-not-elim :args (@t1678)) % 0.93/1.19 (step @p5958 :rule nary_cong :premises (@p2715 @p747) :args (@t3146)) % 0.93/1.19 (step @p5959 :rule cong :premises (@p5958) :args ((forall @t9 @t3146))) % 0.93/1.19 (step @p5960 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 0.93/1.19 (step @p5961 :rule cong :premises (@p5960) :args (@t3147)) % 0.93/1.19 (step @p5962 :rule trans :premises (@p5961 @p5959)) % 0.93/1.19 (step @p5963 :rule cong :premises (@p5962) :args (@t3148)) % 0.93/1.19 (step @p5964 :rule exists-elim :args ((= @t85 @t3148))) % 0.93/1.19 (step @p5965 :rule trans :premises (@p5964 @p5963)) % 0.93/1.19 (step @p5966 :rule cong :premises (@p5965) :args (@t86)) % 0.93/1.19 (step @p5967 :rule trans :premises (@p5966 @p5957)) % 0.93/1.19 (step @p5968 :rule refl :args (@t39)) % 0.93/1.19 (step @p5969 :rule nary_cong :premises (@p5968 @p5967) :args (@t87)) % 0.93/1.19 (step @p5970 :rule cong :premises (@p5969) :args (@t88)) % 0.93/1.19 (step @p5971 :rule trans :premises (@p5970 @p5956)) % 0.93/1.19 (step @p5972 :rule cong :premises (@p4936 @p5971) :args (@t90)) % 0.93/1.19 (step @p5973 :rule cong :premises (@p5972) :args (@t91)) % 0.93/1.19 (step @p5974 :rule trans :premises (@p5973 @p5947)) % 0.93/1.19 (step @p5975 :rule refl :args (tptp.foundationAx)) % 0.93/1.19 (step @p5976 :rule cong :premises (@p5975 @p5974) :args (@t92)) % 0.93/1.19 (step @p5977 :rule eq_resolve :premises (@p10 @p5976)) % 0.93/1.19 (step @p5978 :rule cong :premises (@p5977 @p5933) :args (@t3149)) % 0.93/1.19 (step @p5979 :rule bool-impl-elim :args (@t1697 @t1689)) % 0.93/1.19 (step @p5980 :rule cong :premises (@p5979) :args ((forall @t81 (=> @t1697 @t1689)))) % 0.93/1.19 (step @p5981 :rule exists-elim :args ((= (exists @t41 @t1688) @t1689))) % 0.93/1.19 (step @p5982 :rule refl :args (@t1687)) % 0.93/1.19 (step @p5983 :rule cong :premises (@p2692 @p5982) :args (@t3150)) % 0.93/1.19 (step @p5984 :rule cong :premises (@p5983) :args ((forall @t9 @t3150))) % 0.93/1.19 (step @p5985 :rule refl :args (@t1686)) % 0.93/1.19 (step @p5986 :rule refl :args (@t68)) % 0.93/1.19 (step @p5987 :rule cong :premises (@p5986 @p5985) :args ((= @t68 @t1686))) % 0.93/1.19 (step @p5988 :rule symm :premises (@p5987)) % 0.93/1.19 (step @p5989 :rule eq_resolve :premises (@p5986 @p5988)) % 0.93/1.19 (step @p5990 :rule cong :premises (@p5989) :args (@t3151)) % 0.93/1.19 (step @p5991 :rule nary_cong :premises (@p1798 @p5990) :args (@t3152)) % 0.93/1.19 (step @p5992 :rule cong :premises (@p5991) :args ((forall @t70 @t3152))) % 0.93/1.19 (step @p5993 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 0.93/1.19 (step @p5994 :rule cong :premises (@p5993) :args (@t3153)) % 0.93/1.19 (step @p5995 :rule trans :premises (@p5994 @p5992)) % 0.93/1.19 (step @p5996 :rule cong :premises (@p5995) :args (@t3154)) % 0.93/1.19 (step @p5997 :rule exists-elim :args ((= @t71 @t3154))) % 0.93/1.19 (step @p5998 :rule trans :premises (@p5997 @p5996)) % 0.93/1.19 (step @p5999 :rule refl :args (@t6)) % 0.93/1.19 (step @p6000 :rule cong :premises (@p5999 @p5998) :args (@t72)) % 0.93/1.19 (step @p6001 :rule cong :premises (@p6000) :args (@t73)) % 0.93/1.19 (step @p6002 :rule trans :premises (@p6001 @p5984)) % 0.93/1.19 (step @p6003 :rule cong :premises (@p6002) :args (@t74)) % 0.93/1.19 (step @p6004 :rule trans :premises (@p6003 @p5981)) % 0.93/1.19 (step @p6005 :rule refl :args (@t1696)) % 0.93/1.19 (step @p6006 :rule nary_cong :premises (@p747 @p6005) :args (@t3155)) % 0.93/1.19 (step @p6007 :rule cong :premises (@p6006) :args ((forall @t9 @t3155))) % 0.93/1.19 (step @p6008 :rule bool-impl-elim :args (@t7 @t1696)) % 0.93/1.19 (step @p6009 :rule cong :premises (@p6008) :args ((forall @t9 (=> @t7 @t1696)))) % 0.93/1.19 (step @p6010 :rule trans :premises (@p6009 @p6007)) % 0.93/1.19 (step @p6011 :rule refl :args (@t1693)) % 0.93/1.19 (step @p6012 :rule refl :args (@t1694)) % 0.93/1.19 (step @p6013 :rule refl :args (@t3156)) % 0.93/1.19 (step @p6014 :rule cong :premises (@p6013 @p6012) :args ((= @t3156 @t1694))) % 0.93/1.19 (step @p6015 :rule symm :premises (@p6014)) % 0.93/1.19 (step @p6016 :rule eq_resolve :premises (@p6013 @p6015)) % 0.93/1.19 (step @p6017 :rule cong :premises (@p6016) :args (@t3157)) % 0.93/1.19 (step @p6018 :rule nary_cong :premises (@p6017 @p6011) :args (@t3158)) % 0.93/1.19 (step @p6019 :rule cong :premises (@p6018) :args ((forall @t1695 @t3158))) % 0.93/1.19 (step @p6020 :rule refl :args (@t1691)) % 0.93/1.19 (step @p6021 :rule nary_cong :premises (@p859 @p6020) :args (@t3159)) % 0.93/1.19 (step @p6022 :rule cong :premises (@p6021) :args ((forall @t70 @t3159))) % 0.93/1.19 (step @p6023 :rule refl :args (@t1691)) % 0.93/1.19 (step @p6024 :rule beta-reduce :args ((= @t3160 @t76))) % 0.93/1.19 (step @p6025 :rule cong :premises (@p6024) :args (@t3161)) % 0.93/1.19 (step @p6026 :rule nary_cong :premises (@p6025 @p6023) :args (@t3162)) % 0.93/1.19 (step @p6027 :rule cong :premises (@p6026) :args (@t3163)) % 0.93/1.19 (step @p6028 :rule trans :premises (@p6027 @p6022)) % 0.93/1.19 (step @p6029 :rule cong :premises (@p6028) :args (@t3164)) % 0.93/1.19 (step @p6030 :rule beta-reduce :args ((= @t3165 @t3156))) % 0.93/1.19 (step @p6031 :rule cong :premises (@p6030) :args (@t3166)) % 0.93/1.19 (step @p6032 :rule nary_cong :premises (@p6031 @p6029) :args (@t3167)) % 0.93/1.19 (step @p6033 :rule cong :premises (@p6032) :args (@t3168)) % 0.93/1.19 (step @p6034 :rule trans :premises (@p6033 @p6019)) % 0.93/1.19 (step @p6035 :rule cong :premises (@p6034) :args (@t3169)) % 0.93/1.19 (step @p6036 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t1695 (or @t3170 (not (forall @t70 (or @t1243 @t1691))))))) @t77) @t3169))) % 0.93/1.19 (step @p6037 :rule trans :premises (@p6036 @p6035)) % 0.93/1.19 (step @p6038 :rule refl :args (@t77)) % 0.93/1.19 (step @p6039 :rule eq-symm :args (@t1690 @t19)) % 0.93/1.19 (step @p6040 :rule nary_cong :premises (@p3953 @p6039) :args (@t3171)) % 0.93/1.19 (step @p6041 :rule cong :premises (@p6040) :args (@t3172)) % 0.93/1.19 (step @p6042 :rule cong :premises (@p6041) :args (@t3173)) % 0.93/1.19 (step @p6043 :rule refl :args (@t3170)) % 0.93/1.19 (step @p6044 :rule nary_cong :premises (@p6043 @p6042) :args (@t3174)) % 0.93/1.19 (step @p6045 :rule cong :premises (@p6044) :args (@t3175)) % 0.93/1.19 (step @p6046 :rule cong :premises (@p6045) :args (@t3176)) % 0.93/1.19 (step @p6047 :rule cong :premises (@p6046) :args ((lambda @t150 @t3176))) % 0.93/1.19 (step @p6048 :rule ho_cong :premises (@p6047 @p6038)) % 0.93/1.19 (step @p6049 :rule trans :premises (@p6048 @p6037)) % 0.93/1.19 (step @p6050 :rule refl :args (@t77)) % 0.93/1.19 (step @p6051 :rule alpha_equiv :args (@t1484 @t2008 (@list @t1690))) % 0.93/1.19 (step @p6052 :rule cong :premises (@p6051) :args (@t1485)) % 0.93/1.19 (step @p6053 :rule cong :premises (@p6052) :args (@t2660)) % 0.93/1.19 (step @p6054 :rule ho_cong :premises (@p6053 @p6050)) % 0.93/1.19 (step @p6055 :rule trans :premises (@p6054 @p6049)) % 0.93/1.19 (step @p6056 :rule cong :premises (@p769 @p6055) :args (@t3177)) % 0.93/1.19 (step @p6057 :rule cong :premises (@p6056) :args (@t3178)) % 0.93/1.19 (step @p6058 :rule trans :premises (@p6057 @p6010)) % 0.93/1.19 (step @p6059 :rule cong :premises (@p6058 @p6004) :args (@t3179)) % 0.93/1.19 (step @p6060 :rule cong :premises (@p6059) :args (@t3180)) % 0.93/1.19 (step @p6061 :rule trans :premises (@p6060 @p5980)) % 0.93/1.19 (step @p6062 :rule refl :args (tptp.replAx)) % 0.93/1.19 (step @p6063 :rule cong :premises (@p6062 @p6061) :args ((= tptp.replAx @t3180))) % 0.93/1.19 (step @p6064 :rule refl :args (@t74)) % 0.93/1.19 (step @p6065 :rule ho_cong :premises (@p4113 @p6038)) % 0.93/1.19 (step @p6066 :rule cong :premises (@p769 @p6065) :args (@t78)) % 0.93/1.19 (step @p6067 :rule cong :premises (@p6066) :args (@t79)) % 0.93/1.19 (step @p6068 :rule cong :premises (@p6067 @p6064) :args (@t80)) % 0.93/1.19 (step @p6069 :rule cong :premises (@p6068) :args (@t82)) % 0.93/1.19 (step @p6070 :rule cong :premises (@p6062 @p6069) :args (@t83)) % 0.93/1.19 (step @p6071 :rule trans :premises (@p6070 @p6063)) % 0.93/1.19 (step @p6072 :rule eq_resolve :premises (@p9 @p6071)) % 0.93/1.19 (step @p6073 :rule cong :premises (@p6072 @p5978) :args (@t3181)) % 0.93/1.19 (step @p6074 :rule aci_norm :args ((= @t3183 @t1711))) % 0.93/1.19 (step @p6075 :rule cong :premises (@p6074) :args (@t3184)) % 0.93/1.19 (step @p6076 :rule quant-merge-prenex :args ((= (forall @t64 @t3186) @t3184))) % 0.93/1.19 (step @p6077 :rule alpha_equiv :args (@t3187 (@list @t1700) @t2008)) % 0.93/1.19 (step @p6078 :rule refl :args (@t1708)) % 0.93/1.19 (step @p6079 :rule refl :args (@t1710)) % 0.93/1.19 (step @p6080 :rule nary_cong :premises (@p6079 @p6078 @p6077) :args (@t3188)) % 0.93/1.19 (step @p6081 :rule quant-miniscope-or :args ((= @t3186 @t3188))) % 0.93/1.19 (step @p6082 :rule trans :premises (@p6081 @p6080)) % 0.93/1.19 (step @p6083 :rule symm :premises (@p6082)) % 0.93/1.19 (step @p6084 :rule cong :premises (@p6083) :args ((forall @t64 (or @t1710 @t1708 @t3189)))) % 0.93/1.19 (step @p6085 :rule trans :premises (@p6084 @p6076)) % 0.93/1.19 (step @p6086 :rule trans :premises (@p6085 @p6075)) % 0.93/1.19 (step @p6087 :rule refl :args (@t3189)) % 0.93/1.19 (step @p6088 :rule refl :args (@t1709)) % 0.93/1.19 (step @p6089 :rule refl :args (@t61)) % 0.93/1.19 (step @p6090 :rule cong :premises (@p6089 @p6088) :args ((= @t61 @t1709))) % 0.93/1.19 (step @p6091 :rule symm :premises (@p6090)) % 0.93/1.19 (step @p6092 :rule eq_resolve :premises (@p6089 @p6091)) % 0.93/1.19 (step @p6093 :rule cong :premises (@p6092) :args (@t3190)) % 0.93/1.19 (step @p6094 :rule nary_cong :premises (@p6093 @p6078 @p6087) :args (@t3191)) % 0.93/1.19 (step @p6095 :rule cong :premises (@p6094) :args ((forall @t64 @t3191))) % 0.93/1.19 (step @p6096 :rule trans :premises (@p6095 @p6086)) % 0.93/1.19 (step @p6097 :rule aci_norm :args ((= (or (or @t3190 @t1708) @t3189) @t3191))) % 0.93/1.19 (step @p6098 :rule bool-and-de-morgan :args (@t61 @t1707 true)) % 0.93/1.19 (step @p6099 :rule nary_cong :premises (@p6098 @p6087) :args ((or (not @t3192) @t3189))) % 0.93/1.19 (step @p6100 :rule trans :premises (@p6099 @p6097)) % 0.93/1.19 (step @p6101 :rule bool-impl-elim :args (@t3192 @t3189)) % 0.93/1.19 (step @p6102 :rule trans :premises (@p6101 @p6100)) % 0.93/1.19 (step @p6103 :rule cong :premises (@p6102) :args ((forall @t64 (=> @t3192 @t3189)))) % 0.93/1.19 (step @p6104 :rule trans :premises (@p6103 @p6096)) % 0.93/1.19 (step @p6105 :rule refl :args (@t1705)) % 0.93/1.19 (step @p6106 :rule refl :args (@t54)) % 0.93/1.19 (step @p6107 :rule cong :premises (@p6106 @p6105) :args ((= @t54 @t1705))) % 0.93/1.19 (step @p6108 :rule symm :premises (@p6107)) % 0.93/1.19 (step @p6109 :rule eq_resolve :premises (@p6106 @p6108)) % 0.93/1.19 (step @p6110 :rule cong :premises (@p6109) :args (@t3193)) % 0.93/1.19 (step @p6111 :rule nary_cong :premises (@p6110 @p723) :args (@t3194)) % 0.93/1.19 (step @p6112 :rule cong :premises (@p6111) :args ((forall @t9 @t3194))) % 0.93/1.19 (step @p6113 :rule bool-impl-elim :args (@t54 @t7)) % 0.93/1.19 (step @p6114 :rule cong :premises (@p6113) :args (@t57)) % 0.93/1.19 (step @p6115 :rule trans :premises (@p6114 @p6112)) % 0.93/1.19 (step @p6116 :rule refl :args ((tptp.in @t51 @t2))) % 0.93/1.19 (step @p6117 :rule refl :args (@t1703)) % 0.93/1.19 (step @p6118 :rule cong :premises (@p6117 @p654) :args (@t1704)) % 0.93/1.19 (step @p6119 :rule trans :premises (@p6118 @p6116)) % 0.93/1.19 (step @p6120 :rule ho_cong :premises (@p660 @p6117)) % 0.93/1.19 (step @p6121 :rule ho_cong :premises (@p6120 @p654)) % 0.93/1.19 (step @p6122 :rule cong :premises (@p6121 @p6119) :args ((= (_ @t3195 @t2) @t1704))) % 0.93/1.19 (step @p6123 :rule symm :premises (@p6122)) % 0.93/1.19 (step @p6124 :rule refl :args (@t58)) % 0.93/1.19 (step @p6125 :rule eq_resolve :premises (@p6124 @p6123)) % 0.93/1.19 (step @p6126 :rule refl :args (@t51)) % 0.93/1.19 (step @p6127 :rule cong :premises (@p6126 @p6117) :args ((= @t51 @t1703))) % 0.93/1.19 (step @p6128 :rule symm :premises (@p6127)) % 0.93/1.19 (step @p6129 :rule eq_resolve :premises (@p6126 @p6128)) % 0.93/1.19 (step @p6130 :rule ho_cong :premises (@p660 @p6129)) % 0.93/1.19 (step @p6131 :rule ho_cong :premises (@p6130 @p654)) % 0.93/1.19 (step @p6132 :rule trans :premises (@p6131 @p6125)) % 0.93/1.19 (step @p6133 :rule nary_cong :premises (@p6110 @p747 @p6132) :args (@t3196)) % 0.93/1.19 (step @p6134 :rule cong :premises (@p6133) :args ((forall @t9 @t3196))) % 0.93/1.19 (step @p6135 :rule aci_norm :args ((= (or (or @t3193 @t197) @t58) @t3196))) % 0.93/1.19 (step @p6136 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 0.93/1.19 (step @p6137 :rule nary_cong :premises (@p6136 @p6124) :args ((or (not @t59) @t58))) % 0.93/1.19 (step @p6138 :rule trans :premises (@p6137 @p6135)) % 0.93/1.19 (step @p6139 :rule bool-impl-elim :args (@t59 @t58)) % 0.93/1.19 (step @p6140 :rule trans :premises (@p6139 @p6138)) % 0.93/1.19 (step @p6141 :rule cong :premises (@p6140) :args (@t60)) % 0.93/1.19 (step @p6142 :rule trans :premises (@p6141 @p6134)) % 0.93/1.19 (step @p6143 :rule refl :args (@t61)) % 0.93/1.19 (step @p6144 :rule nary_cong :premises (@p6143 @p6142) :args (@t62)) % 0.93/1.19 (step @p6145 :rule cong :premises (@p6144 @p6115) :args (@t63)) % 0.93/1.19 (step @p6146 :rule cong :premises (@p6145) :args (@t65)) % 0.93/1.19 (step @p6147 :rule trans :premises (@p6146 @p6104)) % 0.93/1.19 (step @p6148 :rule refl :args (tptp.omegaIndAx)) % 0.93/1.19 (step @p6149 :rule cong :premises (@p6148 @p6147) :args (@t66)) % 0.93/1.19 (step @p6150 :rule eq_resolve :premises (@p8 @p6149)) % 0.93/1.19 (step @p6151 :rule cong :premises (@p6150 @p6073) :args (@t3197)) % 0.93/1.19 (step @p6152 :rule refl :args ((tptp.in @t51 tptp.omega))) % 0.93/1.19 (step @p6153 :rule refl :args (tptp.omega)) % 0.93/1.19 (step @p6154 :rule cong :premises (@p6117 @p6153) :args (@t1715)) % 0.93/1.19 (step @p6155 :rule trans :premises (@p6154 @p6152)) % 0.93/1.19 (step @p6156 :rule ho_cong :premises (@p6120 @p6153)) % 0.93/1.19 (step @p6157 :rule cong :premises (@p6156 @p6155) :args ((= (_ @t3195 tptp.omega) @t1715))) % 0.93/1.19 (step @p6158 :rule symm :premises (@p6157)) % 0.93/1.19 (step @p6159 :rule refl :args (@t53)) % 0.93/1.19 (step @p6160 :rule eq_resolve :premises (@p6159 @p6158)) % 0.93/1.19 (step @p6161 :rule ho_cong :premises (@p6130 @p6153)) % 0.93/1.19 (step @p6162 :rule trans :premises (@p6161 @p6160)) % 0.93/1.19 (step @p6163 :rule nary_cong :premises (@p6110 @p6162) :args (@t3198)) % 0.93/1.19 (step @p6164 :rule cong :premises (@p6163) :args ((forall @t9 @t3198))) % 0.93/1.19 (step @p6165 :rule bool-impl-elim :args (@t54 @t53)) % 0.93/1.19 (step @p6166 :rule cong :premises (@p6165) :args (@t55)) % 0.93/1.19 (step @p6167 :rule trans :premises (@p6166 @p6164)) % 0.93/1.19 (step @p6168 :rule refl :args (tptp.omegaSAx)) % 0.93/1.19 (step @p6169 :rule cong :premises (@p6168 @p6167) :args (@t56)) % 0.93/1.19 (step @p6170 :rule eq_resolve :premises (@p7 @p6169)) % 0.93/1.19 (step @p6171 :rule cong :premises (@p6170 @p6151) :args (@t3199)) % 0.93/1.19 (step @p6172 :rule cong :premises (@p6 @p6171) :args (@t3200)) % 0.93/1.19 (step @p6173 :rule eq-symm :args (@t1269 @t1551)) % 0.93/1.19 (step @p6174 :rule cong :premises (@p6173) :args ((forall @t46 (= @t1269 @t1551)))) % 0.93/1.19 (step @p6175 :rule cong :premises (@p2122 @p5019) :args (@t3201)) % 0.93/1.19 (step @p6176 :rule cong :premises (@p6175) :args ((forall @t46 @t3201))) % 0.93/1.19 (step @p6177 :rule trans :premises (@p6176 @p6174)) % 0.93/1.19 (step @p6178 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 0.93/1.19 (step @p6179 :rule cong :premises (@p6178) :args (@t3202)) % 0.93/1.19 (step @p6180 :rule trans :premises (@p6179 @p5053)) % 0.93/1.19 (step @p6181 :rule cong :premises (@p6180) :args (@t3203)) % 0.93/1.19 (step @p6182 :rule exists-elim :args ((= @t42 @t3203))) % 0.93/1.19 (step @p6183 :rule trans :premises (@p6182 @p6181)) % 0.93/1.19 (step @p6184 :rule cong :premises (@p2149 @p6183) :args (@t45)) % 0.93/1.19 (step @p6185 :rule cong :premises (@p6184) :args (@t47)) % 0.93/1.19 (step @p6186 :rule trans :premises (@p6185 @p6177)) % 0.93/1.19 (step @p6187 :rule refl :args (tptp.setunionAx)) % 0.93/1.19 (step @p6188 :rule cong :premises (@p6187 @p6186) :args (@t48)) % 0.93/1.19 (step @p6189 :rule eq_resolve :premises (@p5 @p6188)) % 0.93/1.19 (step @p6190 :rule cong :premises (@p6189 @p6172) :args (@t3204)) % 0.93/1.19 (step @p6191 :rule eq-symm :args (@t1415 @t1562)) % 0.93/1.19 (step @p6192 :rule cong :premises (@p6191) :args ((forall @t12 (= @t1415 @t1562)))) % 0.93/1.19 (step @p6193 :rule refl :args (@t1562)) % 0.93/1.19 (step @p6194 :rule cong :premises (@p3479 @p6193) :args (@t3205)) % 0.93/1.19 (step @p6195 :rule cong :premises (@p6194) :args ((forall @t12 @t3205))) % 0.93/1.19 (step @p6196 :rule trans :premises (@p6195 @p6192)) % 0.93/1.19 (step @p6197 :rule cong :premises (@p5137 @p5141) :args (@t36)) % 0.93/1.19 (step @p6198 :rule cong :premises (@p6197) :args (@t37)) % 0.93/1.19 (step @p6199 :rule trans :premises (@p6198 @p6196)) % 0.93/1.19 (step @p6200 :rule refl :args (tptp.powersetAx)) % 0.93/1.19 (step @p6201 :rule cong :premises (@p6200 @p6199) :args (@t38)) % 0.93/1.19 (step @p6202 :rule eq_resolve :premises (@p4 @p6201)) % 0.93/1.19 (step @p6203 :rule cong :premises (@p6202 @p6190) :args (@t3206)) % 0.93/1.19 (step @p6204 :rule nary_cong :premises (@p1331 @p1797) :args (@t2951)) % 0.93/1.19 (step @p6205 :rule cong :premises (@p5183 @p6204) :args (@t3207)) % 0.93/1.19 (step @p6206 :rule cong :premises (@p6205) :args ((forall @t28 @t3207))) % 0.93/1.19 (step @p6207 :rule cong :premises (@p5193 @p5192) :args (@t27)) % 0.93/1.19 (step @p6208 :rule cong :premises (@p6207) :args (@t29)) % 0.93/1.19 (step @p6209 :rule trans :premises (@p6208 @p6206)) % 0.93/1.19 (step @p6210 :rule refl :args (tptp.setadjoinAx)) % 0.93/1.19 (step @p6211 :rule cong :premises (@p6210 @p6209) :args (@t30)) % 0.93/1.19 (step @p6212 :rule eq_resolve :premises (@p3 @p6211)) % 0.93/1.19 (step @p6213 :rule cong :premises (@p6212 @p6203) :args (@t3208)) % 0.93/1.19 (step @p6214 :rule refl :args (tptp.emptysetAx)) % 0.93/1.19 (step @p6215 :rule cong :premises (@p6214 @p5490) :args (@t18)) % 0.93/1.19 (step @p6216 :rule eq_resolve :premises (@p2 @p6215)) % 0.93/1.19 (step @p6217 :rule cong :premises (@p6216 @p6213) :args (@t3209)) % 0.93/1.19 (step @p6218 :rule bool-impl-elim :args (@t1728 @t3)) % 0.93/1.19 (step @p6219 :rule cong :premises (@p6218) :args ((forall @t12 (=> @t1728 @t3)))) % 0.93/1.19 (step @p6220 :rule cong :premises (@p723 @p2692) :args (@t8)) % 0.93/1.19 (step @p6221 :rule cong :premises (@p6220) :args (@t10)) % 0.93/1.19 (step @p6222 :rule cong :premises (@p6221 @p3938) :args (@t11)) % 0.93/1.19 (step @p6223 :rule cong :premises (@p6222) :args (@t13)) % 0.93/1.19 (step @p6224 :rule trans :premises (@p6223 @p6219)) % 0.93/1.19 (step @p6225 :rule refl :args (tptp.setextAx)) % 0.93/1.19 (step @p6226 :rule cong :premises (@p6225 @p6224) :args (@t14)) % 0.93/1.19 (step @p6227 :rule eq_resolve :premises (@p1 @p6226)) % 0.93/1.19 (step @p6228 :rule cong :premises (@p6227 @p6217) :args (@t3210)) % 0.93/1.19 (step @p6229 :rule cong :premises (@p6228) :args ((not @t3210))) % 0.93/1.19 (step @p6230 :rule trans :premises (@p6229 @p632)) % 0.93/1.19 (step @p6231 :rule eq-symm :args (@t1088 @t1090)) % 0.93/1.19 (step @p6232 :rule cong :premises (@p6231) :args (@t3211)) % 0.93/1.19 (step @p6233 :rule refl :args (@t1091)) % 0.93/1.19 (step @p6234 :rule nary_cong :premises (@p6233 @p6232) :args (@t3212)) % 0.93/1.19 (step @p6235 :rule cong :premises (@p6234) :args (@t3213)) % 0.93/1.19 (step @p6236 :rule cong :premises (@p6235) :args (@t3214)) % 0.93/1.19 (step @p6237 :rule refl :args (@t1093)) % 0.93/1.19 (step @p6238 :rule refl :args (@t1104)) % 0.93/1.19 (step @p6239 :rule refl :args (@t1107)) % 0.93/1.19 (step @p6240 :rule nary_cong :premises (@p6239 @p6238 @p6237 @p6236) :args (@t3215)) % 0.93/1.19 (step @p6241 :rule aci_norm :args ((= @t3217 @t3215))) % 0.93/1.19 (step @p6242 :rule trans :premises (@p6241 @p6240)) % 0.93/1.19 (step @p6243 :rule cong :premises (@p6242) :args (@t3218)) % 0.93/1.19 (step @p6244 :rule quant-merge-prenex :args ((= (forall @t878 @t3220) @t3218))) % 0.93/1.19 (step @p6245 :rule alpha_equiv :args (@t3221 (@list @t1087) @t2008)) % 0.93/1.19 (step @p6246 :rule refl :args (@t1104)) % 0.93/1.19 (step @p6247 :rule refl :args (@t1107)) % 0.93/1.19 (step @p6248 :rule nary_cong :premises (@p6247 @p6246 @p6245) :args (@t3222)) % 0.93/1.19 (step @p6249 :rule quant-miniscope-or :args ((= @t3220 @t3222))) % 0.93/1.19 (step @p6250 :rule trans :premises (@p6249 @p6248)) % 0.93/1.19 (step @p6251 :rule symm :premises (@p6250)) % 0.93/1.19 (step @p6252 :rule cong :premises (@p6251) :args ((forall @t878 (or @t1107 @t1104 @t3224)))) % 0.93/1.19 (step @p6253 :rule trans :premises (@p6252 @p6244)) % 0.93/1.19 (step @p6254 :rule trans :premises (@p6253 @p6243)) % 0.93/1.19 (step @p6255 :rule refl :args (@t3224)) % 0.93/1.19 (step @p6256 :rule refl :args ((tptp.subset @t870 @t671))) % 0.93/1.19 (step @p6257 :rule refl :args (@t870)) % 0.93/1.19 (step @p6258 :rule cong :premises (@p6257 @p783) :args (@t1106)) % 0.93/1.19 (step @p6259 :rule trans :premises (@p6258 @p6256)) % 0.93/1.19 (step @p6260 :rule refl :args (@t3225)) % 0.93/1.19 (step @p6261 :rule ho_cong :premises (@p6260 @p783)) % 0.93/1.19 (step @p6262 :rule cong :premises (@p6261 @p6259) :args ((= (_ @t3225 @t1105) @t1106))) % 0.93/1.19 (step @p6263 :rule symm :premises (@p6262)) % 0.93/1.19 (step @p6264 :rule refl :args (@t3226)) % 0.93/1.19 (step @p6265 :rule eq_resolve :premises (@p6264 @p6263)) % 0.93/1.19 (step @p6266 :rule ho_cong :premises (@p6260 @p800)) % 0.93/1.19 (step @p6267 :rule trans :premises (@p6266 @p6265)) % 0.93/1.19 (step @p6268 :rule cong :premises (@p6267) :args (@t3227)) % 0.93/1.19 (step @p6269 :rule nary_cong :premises (@p6268 @p6246 @p6255) :args (@t3228)) % 0.93/1.19 (step @p6270 :rule cong :premises (@p6269) :args ((forall @t878 @t3228))) % 0.93/1.19 (step @p6271 :rule trans :premises (@p6270 @p6254)) % 0.93/1.19 (step @p6272 :rule aci_norm :args ((= (or (or @t3227 @t1104) @t3224) @t3228))) % 0.93/1.19 (step @p6273 :rule bool-and-de-morgan :args (@t3226 @t1103 true)) % 0.93/1.19 (step @p6274 :rule nary_cong :premises (@p6273 @p6255) :args ((or (not @t3229) @t3224))) % 0.93/1.19 (step @p6275 :rule trans :premises (@p6274 @p6272)) % 0.93/1.19 (step @p6276 :rule bool-impl-elim :args (@t3229 @t3224)) % 0.93/1.19 (step @p6277 :rule trans :premises (@p6276 @p6275)) % 0.93/1.19 (step @p6278 :rule cong :premises (@p6277) :args ((forall @t878 (=> @t3229 @t3224)))) % 0.93/1.19 (step @p6279 :rule trans :premises (@p6278 @p6271)) % 0.93/1.19 (step @p6280 :rule refl :args (@t3223)) % 0.93/1.19 (step @p6281 :rule nary_cong :premises (@p747 @p6280) :args (@t3230)) % 0.93/1.19 (step @p6282 :rule cong :premises (@p6281) :args ((forall @t9 @t3230))) % 0.93/1.19 (step @p6283 :rule bool-impl-elim :args (@t7 @t3223)) % 0.93/1.19 (step @p6284 :rule cong :premises (@p6283) :args ((forall @t9 (=> @t7 @t3223)))) % 0.93/1.19 (step @p6285 :rule trans :premises (@p6284 @p6282)) % 0.93/1.19 (step @p6286 :rule refl :args (@t1090)) % 0.93/1.19 (step @p6287 :rule refl :args ((tptp.dsetconstr @t1 @t872))) % 0.93/1.19 (step @p6288 :rule refl :args ((tptp.in @t629 @t870))) % 0.93/1.19 (step @p6289 :rule cong :premises (@p657 @p6257) :args (@t1095)) % 0.93/1.19 (step @p6290 :rule trans :premises (@p6289 @p6288)) % 0.93/1.19 (step @p6291 :rule cong :premises (@p6290) :args (@t1096)) % 0.93/1.19 (step @p6292 :rule cong :premises (@p653 @p6291) :args (@t1097)) % 0.93/1.19 (step @p6293 :rule trans :premises (@p6292 @p6287)) % 0.93/1.19 (step @p6294 :rule ho_cong :premises (@p3866 @p6291)) % 0.93/1.19 (step @p6295 :rule cong :premises (@p6294 @p6293) :args ((= (_ @t408 @t1096) @t1097))) % 0.93/1.19 (step @p6296 :rule symm :premises (@p6295)) % 0.93/1.19 (step @p6297 :rule refl :args (@t873)) % 0.93/1.19 (step @p6298 :rule eq_resolve :premises (@p6297 @p6296)) % 0.93/1.19 (step @p6299 :rule ho_cong :premises (@p661 @p6257)) % 0.93/1.19 (step @p6300 :rule cong :premises (@p6299 @p6290) :args ((= (_ @t1908 @t870) @t1095))) % 0.93/1.19 (step @p6301 :rule symm :premises (@p6300)) % 0.93/1.19 (step @p6302 :rule refl :args (@t871)) % 0.93/1.19 (step @p6303 :rule eq_resolve :premises (@p6302 @p6301)) % 0.93/1.19 (step @p6304 :rule ho_cong :premises (@p684 @p6257)) % 0.93/1.19 (step @p6305 :rule trans :premises (@p6304 @p6303)) % 0.93/1.19 (step @p6306 :rule cong :premises (@p6305) :args (@t872)) % 0.93/1.19 (step @p6307 :rule ho_cong :premises (@p3866 @p6306)) % 0.93/1.19 (step @p6308 :rule trans :premises (@p6307 @p6298)) % 0.93/1.19 (step @p6309 :rule cong :premises (@p6308 @p6286) :args (@t3231)) % 0.93/1.19 (step @p6310 :rule cong :premises (@p6309) :args (@t3232)) % 0.93/1.19 (step @p6311 :rule refl :args (@t1089)) % 0.93/1.19 (step @p6312 :rule cong :premises (@p6311 @p6308) :args (@t3233)) % 0.93/1.19 (step @p6313 :rule cong :premises (@p6312) :args (@t3234)) % 0.93/1.19 (step @p6314 :rule nary_cong :premises (@p6313 @p6310) :args (@t3235)) % 0.93/1.19 (step @p6315 :rule cong :premises (@p6314) :args (@t3236)) % 0.93/1.19 (step @p6316 :rule cong :premises (@p6315) :args (@t3237)) % 0.93/1.19 (step @p6317 :rule beta-reduce :args ((= (_ (lambda @t64 (not (forall @t1092 (or (not (tptp.in @t1089 @t2)) (not (= @t2 @t1090)))))) @t873) @t3237))) % 0.93/1.19 (step @p6318 :rule trans :premises (@p6317 @p6316)) % 0.93/1.19 (step @p6319 :rule alpha_equiv :args (@t2018 @t2008 (@list @t1089))) % 0.93/1.19 (step @p6320 :rule cong :premises (@p6319) :args (@t2019)) % 0.93/1.19 (step @p6321 :rule cong :premises (@p6320) :args (@t2020)) % 0.93/1.19 (step @p6322 :rule ho_cong :premises (@p6321 @p6297)) % 0.93/1.19 (step @p6323 :rule trans :premises (@p6322 @p6318)) % 0.93/1.19 (step @p6324 :rule cong :premises (@p769 @p6323) :args (@t3238)) % 0.93/1.19 (step @p6325 :rule cong :premises (@p6324) :args (@t3239)) % 0.93/1.19 (step @p6326 :rule trans :premises (@p6325 @p6285)) % 0.93/1.19 (step @p6327 :rule beta-reduce :args ((= (_ @t3245 @t870) @t3229))) % 0.93/1.19 (step @p6328 :rule refl :args (@t870)) % 0.93/1.19 (step @p6329 :rule beta-reduce :args ((= (_ @t3246 @t1) @t3245))) % 0.93/1.19 (step @p6330 :rule beta-reduce :args ((= @t3247 @t3246))) % 0.93/1.19 (step @p6331 :rule ho_cong :premises (@p6330 @p636)) % 0.93/1.19 (step @p6332 :rule trans :premises (@p6331 @p6329)) % 0.93/1.19 (step @p6333 :rule ho_cong :premises (@p6332 @p6328)) % 0.93/1.19 (step @p6334 :rule trans :premises (@p6333 @p6327)) % 0.93/1.19 (step @p6335 :rule cong :premises (@p6334 @p6326) :args (@t3248)) % 0.93/1.19 (step @p6336 :rule cong :premises (@p6335) :args (@t3249)) % 0.93/1.19 (step @p6337 :rule trans :premises (@p6336 @p6279)) % 0.93/1.19 (step @p6338 :rule cong :premises (@p694 @p6337) :args (@t3250)) % 0.93/1.19 (step @p6339 :rule cong :premises (@p712 @p6338) :args (@t3251)) % 0.93/1.19 (step @p6340 :rule cong :premises (@p730 @p6339) :args (@t3252)) % 0.93/1.19 (step @p6341 :rule cong :premises (@p773 @p6340) :args (@t3253)) % 0.93/1.19 (step @p6342 :rule cong :premises (@p824 @p6341) :args (@t3254)) % 0.93/1.19 (step @p6343 :rule cong :premises (@p834 @p6342) :args (@t3255)) % 0.93/1.19 (step @p6344 :rule cong :premises (@p874 @p6343) :args (@t3256)) % 0.93/1.19 (step @p6345 :rule cong :premises (@p925 @p6344) :args (@t3257)) % 0.93/1.19 (step @p6346 :rule cong :premises (@p973 @p6345) :args (@t3258)) % 0.93/1.19 (step @p6347 :rule cong :premises (@p1020 @p6346) :args (@t3259)) % 0.93/1.19 (step @p6348 :rule cong :premises (@p1039 @p6347) :args (@t3260)) % 0.93/1.19 (step @p6349 :rule cong :premises (@p1061 @p6348) :args (@t3261)) % 0.93/1.19 (step @p6350 :rule cong :premises (@p1070 @p6349) :args (@t3262)) % 0.93/1.19 (step @p6351 :rule cong :premises (@p1091 @p6350) :args (@t3263)) % 0.93/1.19 (step @p6352 :rule cong :premises (@p1110 @p6351) :args (@t3264)) % 0.93/1.19 (step @p6353 :rule cong :premises (@p1117 @p6352) :args (@t3265)) % 0.93/1.19 (step @p6354 :rule cong :premises (@p1189 @p6353) :args (@t3266)) % 0.93/1.19 (step @p6355 :rule cong :premises (@p1229 @p6354) :args (@t3267)) % 0.93/1.19 (step @p6356 :rule cong :premises (@p1327 @p6355) :args (@t3268)) % 0.93/1.19 (step @p6357 :rule cong :premises (@p1339 @p6356) :args (@t3269)) % 0.93/1.19 (step @p6358 :rule cong :premises (@p1376 @p6357) :args (@t3270)) % 0.93/1.19 (step @p6359 :rule cong :premises (@p1416 @p6358) :args (@t3271)) % 0.93/1.19 (step @p6360 :rule cong :premises (@p1447 @p6359) :args (@t3272)) % 0.93/1.19 (step @p6361 :rule cong :premises (@p1457 @p6360) :args (@t3273)) % 0.93/1.19 (step @p6362 :rule cong :premises (@p1466 @p6361) :args (@t3274)) % 0.93/1.19 (step @p6363 :rule cong :premises (@p1487 @p6362) :args (@t3275)) % 0.93/1.19 (step @p6364 :rule cong :premises (@p1494 @p6363) :args (@t3276)) % 0.93/1.19 (step @p6365 :rule cong :premises (@p1563 @p6364) :args (@t3277)) % 0.93/1.19 (step @p6366 :rule cong :premises (@p1635 @p6365) :args (@t3278)) % 0.93/1.19 (step @p6367 :rule cong :premises (@p1663 @p6366) :args (@t3279)) % 0.93/1.19 (step @p6368 :rule cong :premises (@p1683 @p6367) :args (@t3280)) % 0.93/1.19 (step @p6369 :rule cong :premises (@p1829 @p6368) :args (@t3281)) % 0.93/1.19 (step @p6370 :rule cong :premises (@p1978 @p6369) :args (@t3282)) % 0.93/1.19 (step @p6371 :rule cong :premises (@p2017 @p6370) :args (@t3283)) % 0.93/1.19 (step @p6372 :rule cong :premises (@p2029 @p6371) :args (@t3284)) % 0.93/1.19 (step @p6373 :rule cong :premises (@p2054 @p6372) :args (@t3285)) % 0.93/1.19 (step @p6374 :rule cong :premises (@p2085 @p6373) :args (@t3286)) % 0.93/1.19 (step @p6375 :rule cong :premises (@p2102 @p6374) :args (@t3287)) % 0.93/1.19 (step @p6376 :rule cong :premises (@p2153 @p6375) :args (@t3288)) % 0.93/1.19 (step @p6377 :rule cong :premises (@p2162 @p6376) :args (@t3289)) % 0.93/1.19 (step @p6378 :rule cong :premises (@p2212 @p6377) :args (@t3290)) % 0.93/1.19 (step @p6379 :rule cong :premises (@p2242 @p6378) :args (@t3291)) % 0.93/1.19 (step @p6380 :rule cong :premises (@p2308 @p6379) :args (@t3292)) % 0.93/1.19 (step @p6381 :rule cong :premises (@p2350 @p6380) :args (@t3293)) % 0.93/1.19 (step @p6382 :rule cong :premises (@p2392 @p6381) :args (@t3294)) % 0.93/1.19 (step @p6383 :rule cong :premises (@p2434 @p6382) :args (@t3295)) % 0.93/1.19 (step @p6384 :rule cong :premises (@p2476 @p6383) :args (@t3296)) % 0.93/1.19 (step @p6385 :rule cong :premises (@p2481 @p6384) :args (@t3297)) % 0.93/1.19 (step @p6386 :rule cong :premises (@p2532 @p6385) :args (@t3298)) % 0.93/1.19 (step @p6387 :rule cong :premises (@p2556 @p6386) :args (@t3299)) % 0.93/1.19 (step @p6388 :rule cong :premises (@p2577 @p6387) :args (@t3300)) % 0.93/1.19 (step @p6389 :rule cong :premises (@p2593 @p6388) :args (@t3301)) % 0.93/1.19 (step @p6390 :rule cong :premises (@p2608 @p6389) :args (@t3302)) % 0.93/1.19 (step @p6391 :rule cong :premises (@p2634 @p6390) :args (@t3303)) % 0.93/1.19 (step @p6392 :rule cong :premises (@p2649 @p6391) :args (@t3304)) % 0.93/1.19 (step @p6393 :rule cong :premises (@p2654 @p6392) :args (@t3305)) % 0.93/1.19 (step @p6394 :rule cong :premises (@p2711 @p6393) :args (@t3306)) % 0.93/1.19 (step @p6395 :rule cong :premises (@p2726 @p6394) :args (@t3307)) % 0.93/1.19 (step @p6396 :rule cong :premises (@p2743 @p6395) :args (@t3308)) % 0.93/1.19 (step @p6397 :rule cong :premises (@p2759 @p6396) :args (@t3309)) % 0.93/1.19 (step @p6398 :rule cong :premises (@p2833 @p6397) :args (@t3310)) % 0.93/1.19 (step @p6399 :rule cong :premises (@p2859 @p6398) :args (@t3311)) % 0.93/1.19 (step @p6400 :rule cong :premises (@p2876 @p6399) :args (@t3312)) % 0.93/1.19 (step @p6401 :rule cong :premises (@p2896 @p6400) :args (@t3313)) % 0.93/1.19 (step @p6402 :rule cong :premises (@p2908 @p6401) :args (@t3314)) % 0.93/1.19 (step @p6403 :rule cong :premises (@p2928 @p6402) :args (@t3315)) % 0.93/1.19 (step @p6404 :rule cong :premises (@p2945 @p6403) :args (@t3316)) % 0.93/1.19 (step @p6405 :rule cong :premises (@p2958 @p6404) :args (@t3317)) % 0.93/1.19 (step @p6406 :rule cong :premises (@p2967 @p6405) :args (@t3318)) % 0.93/1.19 (step @p6407 :rule cong :premises (@p2976 @p6406) :args (@t3319)) % 0.93/1.19 (step @p6408 :rule cong :premises (@p2992 @p6407) :args (@t3320)) % 0.93/1.19 (step @p6409 :rule cong :premises (@p3037 @p6408) :args (@t3321)) % 0.93/1.19 (step @p6410 :rule cong :premises (@p3052 @p6409) :args (@t3322)) % 0.93/1.19 (step @p6411 :rule cong :premises (@p3073 @p6410) :args (@t3323)) % 0.93/1.19 (step @p6412 :rule cong :premises (@p3090 @p6411) :args (@t3324)) % 0.93/1.19 (step @p6413 :rule cong :premises (@p3116 @p6412) :args (@t3325)) % 0.93/1.19 (step @p6414 :rule cong :premises (@p3136 @p6413) :args (@t3326)) % 0.93/1.19 (step @p6415 :rule cong :premises (@p3149 @p6414) :args (@t3327)) % 0.93/1.19 (step @p6416 :rule cong :premises (@p3161 @p6415) :args (@t3328)) % 0.93/1.19 (step @p6417 :rule cong :premises (@p3176 @p6416) :args (@t3329)) % 0.93/1.19 (step @p6418 :rule cong :premises (@p3185 @p6417) :args (@t3330)) % 0.93/1.19 (step @p6419 :rule cong :premises (@p3224 @p6418) :args (@t3331)) % 0.93/1.19 (step @p6420 :rule cong :premises (@p3238 @p6419) :args (@t3332)) % 0.93/1.19 (step @p6421 :rule cong :premises (@p3254 @p6420) :args (@t3333)) % 0.93/1.19 (step @p6422 :rule cong :premises (@p3269 @p6421) :args (@t3334)) % 0.93/1.19 (step @p6423 :rule cong :premises (@p3291 @p6422) :args (@t3335)) % 0.93/1.19 (step @p6424 :rule cong :premises (@p3342 @p6423) :args (@t3336)) % 0.93/1.19 (step @p6425 :rule cong :premises (@p3351 @p6424) :args (@t3337)) % 0.93/1.19 (step @p6426 :rule cong :premises (@p3356 @p6425) :args (@t3338)) % 0.93/1.19 (step @p6427 :rule cong :premises (@p3368 @p6426) :args (@t3339)) % 0.93/1.19 (step @p6428 :rule cong :premises (@p3402 @p6427) :args (@t3340)) % 0.93/1.19 (step @p6429 :rule cong :premises (@p3423 @p6428) :args (@t3341)) % 0.93/1.19 (step @p6430 :rule cong :premises (@p3449 @p6429) :args (@t3342)) % 0.93/1.19 (step @p6431 :rule cong :premises (@p3465 @p6430) :args (@t3343)) % 0.93/1.19 (step @p6432 :rule cong :premises (@p3486 @p6431) :args (@t3344)) % 0.93/1.19 (step @p6433 :rule cong :premises (@p3495 @p6432) :args (@t3345)) % 0.93/1.19 (step @p6434 :rule cong :premises (@p3511 @p6433) :args (@t3346)) % 0.93/1.19 (step @p6435 :rule cong :premises (@p3527 @p6434) :args (@t3347)) % 0.93/1.19 (step @p6436 :rule cong :premises (@p3546 @p6435) :args (@t3348)) % 0.93/1.19 (step @p6437 :rule cong :premises (@p3570 @p6436) :args (@t3349)) % 0.93/1.19 (step @p6438 :rule cong :premises (@p3590 @p6437) :args (@t3350)) % 0.93/1.19 (step @p6439 :rule cong :premises (@p3615 @p6438) :args (@t3351)) % 0.93/1.19 (step @p6440 :rule cong :premises (@p3625 @p6439) :args (@t3352)) % 0.93/1.19 (step @p6441 :rule cong :premises (@p3667 @p6440) :args (@t3353)) % 0.93/1.19 (step @p6442 :rule cong :premises (@p3697 @p6441) :args (@t3354)) % 0.93/1.19 (step @p6443 :rule cong :premises (@p3713 @p6442) :args (@t3355)) % 0.93/1.19 (step @p6444 :rule cong :premises (@p3726 @p6443) :args (@t3356)) % 0.93/1.19 (step @p6445 :rule cong :premises (@p3739 @p6444) :args (@t3357)) % 0.93/1.19 (step @p6446 :rule cong :premises (@p3749 @p6445) :args (@t3358)) % 0.93/1.19 (step @p6447 :rule cong :premises (@p3754 @p6446) :args (@t3359)) % 0.93/1.19 (step @p6448 :rule cong :premises (@p3794 @p6447) :args (@t3360)) % 0.93/1.19 (step @p6449 :rule cong :premises (@p3814 @p6448) :args (@t3361)) % 0.93/1.19 (step @p6450 :rule cong :premises (@p3818 @p6449) :args (@t3362)) % 0.93/1.19 (step @p6451 :rule cong :premises (@p3942 @p6450) :args (@t3363)) % 0.93/1.19 (step @p6452 :rule cong :premises (@p4098 @p6451) :args (@t3364)) % 0.93/1.19 (step @p6453 :rule cong :premises (@p4160 @p6452) :args (@t3365)) % 0.93/1.19 (step @p6454 :rule cong :premises (@p4172 @p6453) :args (@t3366)) % 0.93/1.19 (step @p6455 :rule cong :premises (@p4209 @p6454) :args (@t3367)) % 0.93/1.19 (step @p6456 :rule cong :premises (@p4239 @p6455) :args (@t3368)) % 0.93/1.19 (step @p6457 :rule cong :premises (@p4310 @p6456) :args (@t3369)) % 0.93/1.19 (step @p6458 :rule cong :premises (@p4319 @p6457) :args (@t3370)) % 0.93/1.19 (step @p6459 :rule cong :premises (@p4331 @p6458) :args (@t3371)) % 0.93/1.19 (step @p6460 :rule cong :premises (@p4340 @p6459) :args (@t3372)) % 0.93/1.19 (step @p6461 :rule cong :premises (@p4401 @p6460) :args (@t3373)) % 0.93/1.19 (step @p6462 :rule cong :premises (@p4474 @p6461) :args (@t3374)) % 0.93/1.19 (step @p6463 :rule cong :premises (@p4520 @p6462) :args (@t3375)) % 0.93/1.19 (step @p6464 :rule cong :premises (@p4559 @p6463) :args (@t3376)) % 0.93/1.19 (step @p6465 :rule cong :premises (@p4582 @p6464) :args (@t3377)) % 0.93/1.19 (step @p6466 :rule cong :premises (@p4598 @p6465) :args (@t3378)) % 0.93/1.19 (step @p6467 :rule cong :premises (@p4639 @p6466) :args (@t3379)) % 0.93/1.19 (step @p6468 :rule cong :premises (@p4697 @p6467) :args (@t3380)) % 0.93/1.19 (step @p6469 :rule cong :premises (@p4728 @p6468) :args (@t3381)) % 0.93/1.19 (step @p6470 :rule cong :premises (@p4737 @p6469) :args (@t3382)) % 0.93/1.19 (step @p6471 :rule cong :premises (@p4745 @p6470) :args (@t3383)) % 0.93/1.19 (step @p6472 :rule cong :premises (@p4756 @p6471) :args (@t3384)) % 0.93/1.19 (step @p6473 :rule cong :premises (@p4764 @p6472) :args (@t3385)) % 0.93/1.19 (step @p6474 :rule cong :premises (@p4781 @p6473) :args (@t3386)) % 0.93/1.19 (step @p6475 :rule cong :premises (@p4822 @p6474) :args (@t3387)) % 0.93/1.19 (step @p6476 :rule cong :premises (@p4826 @p6475) :args (@t3388)) % 0.93/1.19 (step @p6477 :rule cong :premises (@p4841 @p6476) :args (@t3389)) % 0.93/1.19 (step @p6478 :rule cong :premises (@p4845 @p6477) :args (@t3390)) % 0.93/1.19 (step @p6479 :rule cong :premises (@p4875 @p6478) :args (@t3391)) % 0.93/1.19 (step @p6480 :rule cong :premises (@p4900 @p6479) :args (@t3392)) % 0.93/1.19 (step @p6481 :rule cong :premises (@p4914 @p6480) :args (@t3393)) % 0.93/1.19 (step @p6482 :rule cong :premises (@p4923 @p6481) :args (@t3394)) % 0.93/1.19 (step @p6483 :rule cong :premises (@p4944 @p6482) :args (@t3395)) % 0.93/1.19 (step @p6484 :rule cong :premises (@p4982 @p6483) :args (@t3396)) % 0.93/1.19 (step @p6485 :rule cong :premises (@p5015 @p6484) :args (@t3397)) % 0.93/1.19 (step @p6486 :rule cong :premises (@p5075 @p6485) :args (@t3398)) % 0.93/1.19 (step @p6487 :rule cong :premises (@p5089 @p6486) :args (@t3399)) % 0.93/1.19 (step @p6488 :rule cong :premises (@p5104 @p6487) :args (@t3400)) % 0.93/1.19 (step @p6489 :rule cong :premises (@p5109 @p6488) :args (@t3401)) % 0.93/1.19 (step @p6490 :rule cong :premises (@p5127 @p6489) :args (@t3402)) % 0.93/1.19 (step @p6491 :rule cong :premises (@p5145 @p6490) :args (@t3403)) % 0.93/1.19 (step @p6492 :rule cong :premises (@p5170 @p6491) :args (@t3404)) % 0.93/1.19 (step @p6493 :rule cong :premises (@p5197 @p6492) :args (@t3405)) % 0.93/1.19 (step @p6494 :rule cong :premises (@p5252 @p6493) :args (@t3406)) % 0.93/1.19 (step @p6495 :rule cong :premises (@p5261 @p6494) :args (@t3407)) % 0.93/1.19 (step @p6496 :rule refl :args (tptp.emptyinunitempty)) % 0.93/1.19 (step @p6497 :rule cong :premises (@p6496 @p6495) :args (@t3408)) % 0.93/1.19 (step @p6498 :rule cong :premises (@p5282 @p6497) :args (@t3409)) % 0.93/1.19 (step @p6499 :rule cong :premises (@p5322 @p6498) :args (@t3410)) % 0.93/1.19 (step @p6500 :rule cong :premises (@p5368 @p6499) :args (@t3411)) % 0.93/1.19 (step @p6501 :rule cong :premises (@p5382 @p6500) :args (@t3412)) % 0.93/1.19 (step @p6502 :rule cong :premises (@p5415 @p6501) :args (@t3413)) % 0.93/1.19 (step @p6503 :rule cong :premises (@p5420 @p6502) :args (@t3414)) % 0.93/1.19 (step @p6504 :rule cong :premises (@p5433 @p6503) :args (@t3415)) % 0.93/1.19 (step @p6505 :rule cong :premises (@p5448 @p6504) :args (@t3416)) % 0.93/1.19 (step @p6506 :rule cong :premises (@p5480 @p6505) :args (@t3417)) % 0.93/1.19 (step @p6507 :rule cong :premises (@p5489 @p6506) :args (@t3418)) % 0.93/1.19 (step @p6508 :rule cong :premises (@p5500 @p6507) :args (@t3419)) % 0.93/1.19 (step @p6509 :rule cong :premises (@p5515 @p6508) :args (@t3420)) % 0.93/1.19 (step @p6510 :rule cong :premises (@p5551 @p6509) :args (@t3421)) % 0.93/1.19 (step @p6511 :rule cong :premises (@p5560 @p6510) :args (@t3422)) % 0.93/1.19 (step @p6512 :rule cong :premises (@p5579 @p6511) :args (@t3423)) % 0.93/1.19 (step @p6513 :rule cong :premises (@p5591 @p6512) :args (@t3424)) % 0.93/1.19 (step @p6514 :rule cong :premises (@p5608 @p6513) :args (@t3425)) % 0.93/1.19 (step @p6515 :rule cong :premises (@p5659 @p6514) :args (@t3426)) % 0.93/1.19 (step @p6516 :rule cong :premises (@p5930 @p6515) :args (@t3427)) % 0.93/1.19 (step @p6517 :rule cong :premises (@p5975 @p6516) :args (@t3428)) % 0.93/1.19 (step @p6518 :rule cong :premises (@p6062 @p6517) :args (@t3429)) % 0.93/1.19 (step @p6519 :rule cong :premises (@p6148 @p6518) :args (@t3430)) % 0.93/1.19 (step @p6520 :rule cong :premises (@p6168 @p6519) :args (@t3431)) % 0.93/1.19 (step @p6521 :rule refl :args (tptp.omega0Ax)) % 0.93/1.19 (step @p6522 :rule cong :premises (@p6521 @p6520) :args (@t3432)) % 0.93/1.19 (step @p6523 :rule cong :premises (@p6187 @p6522) :args (@t3433)) % 0.93/1.19 (step @p6524 :rule cong :premises (@p6200 @p6523) :args (@t3434)) % 0.93/1.19 (step @p6525 :rule cong :premises (@p6210 @p6524) :args (@t3435)) % 0.93/1.19 (step @p6526 :rule cong :premises (@p6214 @p6525) :args (@t3436)) % 0.93/1.19 (step @p6527 :rule cong :premises (@p6225 @p6526) :args (@t3437)) % 0.93/1.19 (step @p6528 :rule cong :premises (@p6527) :args ((not @t3437))) % 0.93/1.19 (step @p6529 :rule refl :args (@t873)) % 0.93/1.19 (step @p6530 :rule ho_cong :premises (@p1208 @p6529)) % 0.93/1.19 (step @p6531 :rule cong :premises (@p769 @p6530) :args (@t874)) % 0.93/1.19 (step @p6532 :rule cong :premises (@p6531) :args (@t875)) % 0.93/1.19 (step @p6533 :rule refl :args (@t3242)) % 0.93/1.19 (step @p6534 :rule nary_cong :premises (@p747 @p6533) :args (@t3438)) % 0.93/1.19 (step @p6535 :rule cong :premises (@p6534) :args ((forall @t9 @t3438))) % 0.93/1.19 (step @p6536 :rule bool-impl-elim :args (@t7 @t3242)) % 0.93/1.19 (step @p6537 :rule cong :premises (@p6536) :args ((forall @t9 (=> @t7 @t3242)))) % 0.93/1.19 (step @p6538 :rule trans :premises (@p6537 @p6535)) % 0.93/1.19 (step @p6539 :rule refl :args ((tptp.in @t629 @t1078))) % 0.93/1.19 (step @p6540 :rule refl :args (@t1078)) % 0.93/1.19 (step @p6541 :rule cong :premises (@p657 @p6540) :args (@t3240)) % 0.93/1.19 (step @p6542 :rule trans :premises (@p6541 @p6539)) % 0.93/1.19 (step @p6543 :rule ho_cong :premises (@p661 @p6540)) % 0.93/1.19 (step @p6544 :rule cong :premises (@p6543 @p6542) :args ((= (_ @t1908 @t1078) @t3240))) % 0.93/1.19 (step @p6545 :rule symm :premises (@p6544)) % 0.93/1.19 (step @p6546 :rule refl :args (@t1079)) % 0.93/1.19 (step @p6547 :rule eq_resolve :premises (@p6546 @p6545)) % 0.93/1.19 (step @p6548 :rule ho_cong :premises (@p684 @p6540)) % 0.93/1.19 (step @p6549 :rule trans :premises (@p6548 @p6547)) % 0.93/1.19 (step @p6550 :rule cong :premises (@p6549) :args (@t1080)) % 0.93/1.19 (step @p6551 :rule cong :premises (@p653 @p6550) :args (@t3439)) % 0.93/1.19 (step @p6552 :rule refl :args (@t1099)) % 0.93/1.19 (step @p6553 :rule cong :premises (@p6552 @p6551) :args (@t3440)) % 0.93/1.19 (step @p6554 :rule cong :premises (@p6553) :args (@t3441)) % 0.93/1.19 (step @p6555 :rule refl :args (@t1098)) % 0.93/1.19 (step @p6556 :rule cong :premises (@p6555 @p6551) :args (@t3442)) % 0.93/1.19 (step @p6557 :rule cong :premises (@p6556) :args (@t3443)) % 0.93/1.19 (step @p6558 :rule nary_cong :premises (@p6557 @p6554) :args (@t3444)) % 0.93/1.19 (step @p6559 :rule cong :premises (@p6558) :args ((forall @t1100 @t3444))) % 0.93/1.19 (step @p6560 :rule eq-symm :args (@t3439 @t1099)) % 0.93/1.19 (step @p6561 :rule cong :premises (@p6560) :args (@t3445)) % 0.93/1.19 (step @p6562 :rule refl :args (@t3443)) % 0.93/1.19 (step @p6563 :rule nary_cong :premises (@p6562 @p6561) :args (@t3446)) % 0.93/1.19 (step @p6564 :rule cong :premises (@p6563) :args (@t3447)) % 0.93/1.19 (step @p6565 :rule trans :premises (@p6564 @p6559)) % 0.93/1.19 (step @p6566 :rule cong :premises (@p6565) :args (@t3448)) % 0.93/1.19 (step @p6567 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t1100 (or @t3450 (not (= @t3449 @t1099)))))) @t1080) @t3448))) % 0.93/1.19 (step @p6568 :rule trans :premises (@p6567 @p6566)) % 0.93/1.19 (step @p6569 :rule refl :args (@t1080)) % 0.93/1.19 (step @p6570 :rule eq-symm :args (@t1099 @t3449)) % 0.93/1.19 (step @p6571 :rule cong :premises (@p6570) :args (@t3451)) % 0.93/1.19 (step @p6572 :rule refl :args (@t3450)) % 0.93/1.19 (step @p6573 :rule nary_cong :premises (@p6572 @p6571) :args (@t3452)) % 0.93/1.19 (step @p6574 :rule cong :premises (@p6573) :args (@t3453)) % 0.93/1.19 (step @p6575 :rule cong :premises (@p6574) :args (@t3454)) % 0.93/1.19 (step @p6576 :rule cong :premises (@p6575) :args ((lambda @t150 @t3454))) % 0.93/1.19 (step @p6577 :rule ho_cong :premises (@p6576 @p6569)) % 0.93/1.19 (step @p6578 :rule trans :premises (@p6577 @p6568)) % 0.93/1.19 (step @p6579 :rule refl :args (@t1080)) % 0.93/1.19 (step @p6580 :rule alpha_equiv :args (@t3455 @t2008 (@list @t1098))) % 0.93/1.19 (step @p6581 :rule cong :premises (@p6580) :args (@t3456)) % 0.93/1.19 (step @p6582 :rule cong :premises (@p6581) :args (@t3457)) % 0.93/1.19 (step @p6583 :rule ho_cong :premises (@p6582 @p6579)) % 0.93/1.19 (step @p6584 :rule trans :premises (@p6583 @p6578)) % 0.93/1.19 (step @p6585 :rule beta-reduce :args ((= @t3458 @t3457))) % 0.93/1.19 (step @p6586 :rule ho_cong :premises (@p6585 @p6569)) % 0.93/1.19 (step @p6587 :rule trans :premises (@p6586 @p6584)) % 0.93/1.19 (step @p6588 :rule cong :premises (@p769 @p6587) :args (@t3459)) % 0.93/1.19 (step @p6589 :rule cong :premises (@p6588) :args (@t3460)) % 0.93/1.19 (step @p6590 :rule trans :premises (@p6589 @p6538)) % 0.93/1.19 (step @p6591 :rule beta-reduce :args ((= (_ @t1936 @t1078) @t3243))) % 0.93/1.19 (step @p6592 :rule refl :args (@t1078)) % 0.93/1.19 (step @p6593 :rule ho_cong :premises (@p819 @p6592)) % 0.93/1.19 (step @p6594 :rule trans :premises (@p6593 @p6591)) % 0.93/1.19 (step @p6595 :rule nary_cong :premises (@p6594 @p6590) :args ((and (_ @t1939 @t1078) @t3460))) % 0.93/1.19 (step @p6596 :rule ho_cong :premises (@p1886 @p636)) % 0.93/1.19 (step @p6597 :rule ho_cong :premises (@p6596 @p6569)) % 0.93/1.19 (step @p6598 :rule cong :premises (@p769 @p6597) :args (@t1081)) % 0.93/1.19 (step @p6599 :rule cong :premises (@p6598) :args (@t1082)) % 0.93/1.19 (step @p6600 :rule ho_cong :premises (@p827 @p6592)) % 0.93/1.19 (step @p6601 :rule nary_cong :premises (@p6600 @p6599) :args (@t1083)) % 0.93/1.19 (step @p6602 :rule trans :premises (@p6601 @p6595)) % 0.93/1.19 (step @p6603 :rule cong :premises (@p6602) :args (@t1085)) % 0.93/1.19 (step @p6604 :rule trans :premises (@p196 @p6603)) % 0.93/1.19 (step @p6605 :rule ho_cong :premises (@p6604 @p637)) % 0.93/1.19 (step @p6606 :rule ho_cong :premises (@p6605 @p636)) % 0.93/1.19 (step @p6607 :rule ho_cong :premises (@p6606 @p6328)) % 0.93/1.19 (step @p6608 :rule cong :premises (@p6607 @p6532) :args (@t877)) % 0.93/1.19 (step @p6609 :rule cong :premises (@p6608) :args (@t879)) % 0.93/1.19 (step @p6610 :rule cong :premises (@p694 @p6609) :args (@t880)) % 0.93/1.19 (step @p6611 :rule cong :premises (@p712 @p6610) :args (@t881)) % 0.93/1.19 (step @p6612 :rule cong :premises (@p730 @p6611) :args (@t882)) % 0.93/1.19 (step @p6613 :rule cong :premises (@p773 @p6612) :args (@t883)) % 0.93/1.19 (step @p6614 :rule cong :premises (@p824 @p6613) :args (@t884)) % 0.93/1.19 (step @p6615 :rule cong :premises (@p834 @p6614) :args (@t885)) % 0.93/1.19 (step @p6616 :rule cong :premises (@p874 @p6615) :args (@t886)) % 0.93/1.19 (step @p6617 :rule cong :premises (@p925 @p6616) :args (@t887)) % 0.93/1.19 (step @p6618 :rule cong :premises (@p973 @p6617) :args (@t888)) % 0.93/1.19 (step @p6619 :rule cong :premises (@p1020 @p6618) :args (@t889)) % 0.93/1.19 (step @p6620 :rule cong :premises (@p1039 @p6619) :args (@t890)) % 0.93/1.19 (step @p6621 :rule cong :premises (@p1061 @p6620) :args (@t891)) % 0.93/1.19 (step @p6622 :rule cong :premises (@p1070 @p6621) :args (@t892)) % 0.93/1.19 (step @p6623 :rule cong :premises (@p1091 @p6622) :args (@t893)) % 0.93/1.19 (step @p6624 :rule cong :premises (@p1110 @p6623) :args (@t894)) % 0.93/1.19 (step @p6625 :rule cong :premises (@p1117 @p6624) :args (@t895)) % 0.93/1.19 (step @p6626 :rule cong :premises (@p1189 @p6625) :args (@t896)) % 0.93/1.19 (step @p6627 :rule cong :premises (@p1229 @p6626) :args (@t897)) % 0.93/1.19 (step @p6628 :rule cong :premises (@p1327 @p6627) :args (@t898)) % 0.93/1.19 (step @p6629 :rule cong :premises (@p1339 @p6628) :args (@t899)) % 0.93/1.19 (step @p6630 :rule cong :premises (@p1376 @p6629) :args (@t900)) % 0.93/1.19 (step @p6631 :rule cong :premises (@p1416 @p6630) :args (@t901)) % 0.93/1.19 (step @p6632 :rule cong :premises (@p1447 @p6631) :args (@t902)) % 0.93/1.19 (step @p6633 :rule cong :premises (@p1457 @p6632) :args (@t903)) % 0.93/1.19 (step @p6634 :rule cong :premises (@p1466 @p6633) :args (@t904)) % 0.93/1.19 (step @p6635 :rule cong :premises (@p1487 @p6634) :args (@t905)) % 0.93/1.19 (step @p6636 :rule cong :premises (@p1494 @p6635) :args (@t906)) % 0.93/1.19 (step @p6637 :rule cong :premises (@p1563 @p6636) :args (@t907)) % 0.93/1.19 (step @p6638 :rule cong :premises (@p1635 @p6637) :args (@t908)) % 0.93/1.19 (step @p6639 :rule cong :premises (@p1663 @p6638) :args (@t909)) % 0.93/1.19 (step @p6640 :rule cong :premises (@p1683 @p6639) :args (@t910)) % 0.93/1.19 (step @p6641 :rule cong :premises (@p1829 @p6640) :args (@t911)) % 0.93/1.19 (step @p6642 :rule cong :premises (@p1978 @p6641) :args (@t912)) % 0.93/1.19 (step @p6643 :rule cong :premises (@p2017 @p6642) :args (@t913)) % 0.93/1.19 (step @p6644 :rule cong :premises (@p2029 @p6643) :args (@t914)) % 0.93/1.19 (step @p6645 :rule cong :premises (@p2054 @p6644) :args (@t915)) % 0.93/1.19 (step @p6646 :rule cong :premises (@p2085 @p6645) :args (@t916)) % 0.93/1.19 (step @p6647 :rule cong :premises (@p2102 @p6646) :args (@t917)) % 0.93/1.19 (step @p6648 :rule cong :premises (@p2153 @p6647) :args (@t918)) % 0.93/1.19 (step @p6649 :rule cong :premises (@p2162 @p6648) :args (@t919)) % 0.93/1.19 (step @p6650 :rule cong :premises (@p2212 @p6649) :args (@t920)) % 0.93/1.19 (step @p6651 :rule cong :premises (@p2242 @p6650) :args (@t921)) % 0.93/1.19 (step @p6652 :rule cong :premises (@p2308 @p6651) :args (@t922)) % 0.93/1.19 (step @p6653 :rule cong :premises (@p2350 @p6652) :args (@t923)) % 0.93/1.19 (step @p6654 :rule cong :premises (@p2392 @p6653) :args (@t924)) % 0.93/1.19 (step @p6655 :rule cong :premises (@p2434 @p6654) :args (@t925)) % 0.93/1.19 (step @p6656 :rule cong :premises (@p2476 @p6655) :args (@t926)) % 0.93/1.19 (step @p6657 :rule cong :premises (@p2481 @p6656) :args (@t927)) % 0.93/1.19 (step @p6658 :rule cong :premises (@p2532 @p6657) :args (@t928)) % 0.93/1.19 (step @p6659 :rule cong :premises (@p2556 @p6658) :args (@t929)) % 0.93/1.19 (step @p6660 :rule cong :premises (@p2577 @p6659) :args (@t930)) % 0.93/1.19 (step @p6661 :rule cong :premises (@p2593 @p6660) :args (@t931)) % 0.93/1.19 (step @p6662 :rule cong :premises (@p2608 @p6661) :args (@t932)) % 0.93/1.19 (step @p6663 :rule cong :premises (@p2634 @p6662) :args (@t933)) % 0.93/1.19 (step @p6664 :rule cong :premises (@p2649 @p6663) :args (@t934)) % 0.93/1.19 (step @p6665 :rule cong :premises (@p2654 @p6664) :args (@t935)) % 0.93/1.19 (step @p6666 :rule cong :premises (@p2711 @p6665) :args (@t936)) % 0.93/1.19 (step @p6667 :rule cong :premises (@p2726 @p6666) :args (@t937)) % 0.93/1.19 (step @p6668 :rule cong :premises (@p2743 @p6667) :args (@t938)) % 0.93/1.19 (step @p6669 :rule cong :premises (@p2759 @p6668) :args (@t939)) % 0.93/1.19 (step @p6670 :rule cong :premises (@p2833 @p6669) :args (@t940)) % 0.93/1.19 (step @p6671 :rule cong :premises (@p2859 @p6670) :args (@t941)) % 0.93/1.19 (step @p6672 :rule cong :premises (@p2876 @p6671) :args (@t942)) % 0.93/1.19 (step @p6673 :rule cong :premises (@p2896 @p6672) :args (@t943)) % 0.93/1.19 (step @p6674 :rule cong :premises (@p2908 @p6673) :args (@t944)) % 0.93/1.19 (step @p6675 :rule cong :premises (@p2928 @p6674) :args (@t945)) % 0.93/1.19 (step @p6676 :rule cong :premises (@p2945 @p6675) :args (@t946)) % 0.93/1.19 (step @p6677 :rule cong :premises (@p2958 @p6676) :args (@t947)) % 0.93/1.19 (step @p6678 :rule cong :premises (@p2967 @p6677) :args (@t948)) % 0.93/1.19 (step @p6679 :rule cong :premises (@p2976 @p6678) :args (@t949)) % 0.93/1.19 (step @p6680 :rule cong :premises (@p2992 @p6679) :args (@t950)) % 0.93/1.19 (step @p6681 :rule cong :premises (@p3037 @p6680) :args (@t951)) % 0.93/1.19 (step @p6682 :rule cong :premises (@p3052 @p6681) :args (@t952)) % 0.93/1.19 (step @p6683 :rule cong :premises (@p3073 @p6682) :args (@t953)) % 0.93/1.19 (step @p6684 :rule cong :premises (@p3090 @p6683) :args (@t954)) % 0.93/1.19 (step @p6685 :rule cong :premises (@p3116 @p6684) :args (@t955)) % 0.93/1.19 (step @p6686 :rule cong :premises (@p3136 @p6685) :args (@t956)) % 0.93/1.19 (step @p6687 :rule cong :premises (@p3149 @p6686) :args (@t957)) % 0.93/1.19 (step @p6688 :rule cong :premises (@p3161 @p6687) :args (@t958)) % 0.93/1.19 (step @p6689 :rule cong :premises (@p3176 @p6688) :args (@t959)) % 0.93/1.19 (step @p6690 :rule cong :premises (@p3185 @p6689) :args (@t960)) % 0.93/1.19 (step @p6691 :rule cong :premises (@p3224 @p6690) :args (@t961)) % 0.93/1.19 (step @p6692 :rule cong :premises (@p3238 @p6691) :args (@t962)) % 0.93/1.19 (step @p6693 :rule cong :premises (@p3254 @p6692) :args (@t963)) % 0.93/1.19 (step @p6694 :rule cong :premises (@p3269 @p6693) :args (@t964)) % 0.93/1.19 (step @p6695 :rule cong :premises (@p3291 @p6694) :args (@t965)) % 0.93/1.19 (step @p6696 :rule cong :premises (@p3342 @p6695) :args (@t966)) % 0.93/1.19 (step @p6697 :rule cong :premises (@p3351 @p6696) :args (@t967)) % 0.93/1.19 (step @p6698 :rule cong :premises (@p3356 @p6697) :args (@t968)) % 0.93/1.19 (step @p6699 :rule cong :premises (@p3368 @p6698) :args (@t969)) % 0.93/1.19 (step @p6700 :rule cong :premises (@p3402 @p6699) :args (@t970)) % 0.93/1.19 (step @p6701 :rule cong :premises (@p3423 @p6700) :args (@t971)) % 0.93/1.19 (step @p6702 :rule cong :premises (@p3449 @p6701) :args (@t972)) % 0.93/1.19 (step @p6703 :rule cong :premises (@p3465 @p6702) :args (@t973)) % 0.93/1.19 (step @p6704 :rule cong :premises (@p3486 @p6703) :args (@t974)) % 0.93/1.19 (step @p6705 :rule cong :premises (@p3495 @p6704) :args (@t975)) % 0.93/1.19 (step @p6706 :rule cong :premises (@p3511 @p6705) :args (@t976)) % 0.93/1.19 (step @p6707 :rule cong :premises (@p3527 @p6706) :args (@t977)) % 0.93/1.19 (step @p6708 :rule cong :premises (@p3546 @p6707) :args (@t978)) % 0.93/1.19 (step @p6709 :rule cong :premises (@p3570 @p6708) :args (@t979)) % 0.93/1.19 (step @p6710 :rule cong :premises (@p3590 @p6709) :args (@t980)) % 0.93/1.19 (step @p6711 :rule cong :premises (@p3615 @p6710) :args (@t981)) % 0.93/1.19 (step @p6712 :rule cong :premises (@p3625 @p6711) :args (@t982)) % 0.93/1.19 (step @p6713 :rule cong :premises (@p3667 @p6712) :args (@t983)) % 0.93/1.19 (step @p6714 :rule cong :premises (@p3697 @p6713) :args (@t984)) % 0.93/1.19 (step @p6715 :rule cong :premises (@p3713 @p6714) :args (@t985)) % 0.93/1.19 (step @p6716 :rule cong :premises (@p3726 @p6715) :args (@t986)) % 0.93/1.19 (step @p6717 :rule cong :premises (@p3739 @p6716) :args (@t987)) % 0.93/1.19 (step @p6718 :rule cong :premises (@p3749 @p6717) :args (@t988)) % 0.93/1.19 (step @p6719 :rule cong :premises (@p3754 @p6718) :args (@t989)) % 0.93/1.19 (step @p6720 :rule cong :premises (@p3794 @p6719) :args (@t990)) % 0.93/1.19 (step @p6721 :rule cong :premises (@p3814 @p6720) :args (@t991)) % 0.93/1.19 (step @p6722 :rule cong :premises (@p3818 @p6721) :args (@t992)) % 0.93/1.19 (step @p6723 :rule cong :premises (@p3942 @p6722) :args (@t993)) % 0.93/1.19 (step @p6724 :rule cong :premises (@p4098 @p6723) :args (@t994)) % 0.93/1.19 (step @p6725 :rule cong :premises (@p4160 @p6724) :args (@t995)) % 0.93/1.19 (step @p6726 :rule cong :premises (@p4172 @p6725) :args (@t996)) % 0.93/1.19 (step @p6727 :rule cong :premises (@p4209 @p6726) :args (@t997)) % 0.93/1.19 (step @p6728 :rule cong :premises (@p4239 @p6727) :args (@t998)) % 0.93/1.19 (step @p6729 :rule cong :premises (@p4310 @p6728) :args (@t999)) % 0.93/1.19 (step @p6730 :rule cong :premises (@p4319 @p6729) :args (@t1000)) % 0.93/1.19 (step @p6731 :rule cong :premises (@p4331 @p6730) :args (@t1001)) % 0.93/1.19 (step @p6732 :rule cong :premises (@p4340 @p6731) :args (@t1002)) % 0.93/1.19 (step @p6733 :rule cong :premises (@p4401 @p6732) :args (@t1003)) % 0.93/1.19 (step @p6734 :rule cong :premises (@p4474 @p6733) :args (@t1004)) % 0.93/1.19 (step @p6735 :rule cong :premises (@p4520 @p6734) :args (@t1005)) % 0.93/1.19 (step @p6736 :rule cong :premises (@p4559 @p6735) :args (@t1006)) % 0.93/1.19 (step @p6737 :rule cong :premises (@p4582 @p6736) :args (@t1007)) % 0.93/1.19 (step @p6738 :rule cong :premises (@p4598 @p6737) :args (@t1008)) % 0.93/1.19 (step @p6739 :rule cong :premises (@p4639 @p6738) :args (@t1009)) % 0.93/1.19 (step @p6740 :rule cong :premises (@p4697 @p6739) :args (@t1010)) % 0.93/1.19 (step @p6741 :rule cong :premises (@p4728 @p6740) :args (@t1011)) % 0.93/1.19 (step @p6742 :rule cong :premises (@p4737 @p6741) :args (@t1012)) % 0.93/1.19 (step @p6743 :rule cong :premises (@p4745 @p6742) :args (@t1013)) % 0.93/1.19 (step @p6744 :rule cong :premises (@p4756 @p6743) :args (@t1014)) % 0.93/1.19 (step @p6745 :rule cong :premises (@p4764 @p6744) :args (@t1015)) % 0.93/1.19 (step @p6746 :rule cong :premises (@p4781 @p6745) :args (@t1016)) % 0.93/1.19 (step @p6747 :rule cong :premises (@p4822 @p6746) :args (@t1017)) % 0.93/1.19 (step @p6748 :rule cong :premises (@p4826 @p6747) :args (@t1018)) % 0.93/1.19 (step @p6749 :rule cong :premises (@p4841 @p6748) :args (@t1019)) % 0.93/1.19 (step @p6750 :rule cong :premises (@p4845 @p6749) :args (@t1020)) % 0.93/1.19 (step @p6751 :rule cong :premises (@p4875 @p6750) :args (@t1021)) % 0.93/1.19 (step @p6752 :rule cong :premises (@p4900 @p6751) :args (@t1022)) % 0.93/1.19 (step @p6753 :rule cong :premises (@p4914 @p6752) :args (@t1023)) % 0.93/1.19 (step @p6754 :rule cong :premises (@p4923 @p6753) :args (@t1024)) % 0.93/1.19 (step @p6755 :rule cong :premises (@p4944 @p6754) :args (@t1025)) % 0.93/1.19 (step @p6756 :rule cong :premises (@p4982 @p6755) :args (@t1026)) % 0.93/1.19 (step @p6757 :rule cong :premises (@p5015 @p6756) :args (@t1027)) % 0.93/1.19 (step @p6758 :rule cong :premises (@p5075 @p6757) :args (@t1028)) % 0.93/1.19 (step @p6759 :rule cong :premises (@p5089 @p6758) :args (@t1029)) % 0.93/1.19 (step @p6760 :rule cong :premises (@p5104 @p6759) :args (@t1030)) % 0.93/1.19 (step @p6761 :rule cong :premises (@p5109 @p6760) :args (@t1031)) % 0.93/1.19 (step @p6762 :rule cong :premises (@p5127 @p6761) :args (@t1032)) % 0.93/1.19 (step @p6763 :rule cong :premises (@p5145 @p6762) :args (@t1033)) % 0.93/1.19 (step @p6764 :rule cong :premises (@p5170 @p6763) :args (@t1034)) % 0.93/1.19 (step @p6765 :rule cong :premises (@p5197 @p6764) :args (@t1035)) % 0.93/1.19 (step @p6766 :rule cong :premises (@p5252 @p6765) :args (@t1036)) % 0.93/1.19 (step @p6767 :rule cong :premises (@p5261 @p6766) :args (@t1037)) % 0.93/1.19 (step @p6768 :rule cong :premises (@p6496 @p6767) :args (@t1038)) % 0.93/1.19 (step @p6769 :rule cong :premises (@p5282 @p6768) :args (@t1039)) % 0.93/1.19 (step @p6770 :rule cong :premises (@p5322 @p6769) :args (@t1040)) % 0.93/1.19 (step @p6771 :rule cong :premises (@p5368 @p6770) :args (@t1041)) % 0.93/1.19 (step @p6772 :rule cong :premises (@p5382 @p6771) :args (@t1042)) % 0.93/1.19 (step @p6773 :rule cong :premises (@p5415 @p6772) :args (@t1043)) % 0.93/1.19 (step @p6774 :rule cong :premises (@p5420 @p6773) :args (@t1044)) % 0.93/1.19 (step @p6775 :rule cong :premises (@p5433 @p6774) :args (@t1045)) % 0.93/1.19 (step @p6776 :rule cong :premises (@p5448 @p6775) :args (@t1046)) % 0.93/1.19 (step @p6777 :rule cong :premises (@p5480 @p6776) :args (@t1047)) % 0.93/1.19 (step @p6778 :rule cong :premises (@p5489 @p6777) :args (@t1048)) % 0.93/1.19 (step @p6779 :rule cong :premises (@p5500 @p6778) :args (@t1049)) % 0.93/1.19 (step @p6780 :rule cong :premises (@p5515 @p6779) :args (@t1050)) % 0.93/1.19 (step @p6781 :rule cong :premises (@p5551 @p6780) :args (@t1051)) % 0.93/1.19 (step @p6782 :rule cong :premises (@p5560 @p6781) :args (@t1052)) % 0.93/1.19 (step @p6783 :rule cong :premises (@p5579 @p6782) :args (@t1053)) % 0.93/1.19 (step @p6784 :rule cong :premises (@p5591 @p6783) :args (@t1054)) % 0.93/1.19 (step @p6785 :rule cong :premises (@p5608 @p6784) :args (@t1055)) % 0.93/1.19 (step @p6786 :rule cong :premises (@p5659 @p6785) :args (@t1056)) % 0.93/1.19 (step @p6787 :rule cong :premises (@p5930 @p6786) :args (@t1057)) % 0.93/1.19 (step @p6788 :rule cong :premises (@p5975 @p6787) :args (@t1058)) % 0.93/1.19 (step @p6789 :rule cong :premises (@p6062 @p6788) :args (@t1059)) % 0.93/1.19 (step @p6790 :rule cong :premises (@p6148 @p6789) :args (@t1060)) % 0.93/1.19 (step @p6791 :rule cong :premises (@p6168 @p6790) :args (@t1061)) % 0.93/1.19 (step @p6792 :rule cong :premises (@p6521 @p6791) :args (@t1062)) % 0.93/1.19 (step @p6793 :rule cong :premises (@p6187 @p6792) :args (@t1063)) % 0.93/1.19 (step @p6794 :rule cong :premises (@p6200 @p6793) :args (@t1064)) % 0.93/1.19 (step @p6795 :rule cong :premises (@p6210 @p6794) :args (@t1065)) % 0.93/1.19 (step @p6796 :rule cong :premises (@p6214 @p6795) :args (@t1066)) % 0.93/1.19 (step @p6797 :rule cong :premises (@p6225 @p6796) :args (@t1067)) % 0.93/1.19 (step @p6798 :rule cong :premises (@p6797) :args (@t1068)) % 0.93/1.19 (step @p6799 :rule trans :premises (@p6798 @p6528)) % 0.93/1.19 (step @p6800 :rule trans :premises (@p6799 @p6230 @p323)) % 0.93/1.19 (step @p6801 :rule eq_resolve :premises (@p189 @p6800)) % 0.93/1.19 (step @p6802 :rule not_implies_elim2 :premises (@p6801)) % 0.93/1.19 (step @p6803 :rule not_implies_elim2 :premises (@p6802)) % 0.93/1.19 (step @p6804 :rule not_implies_elim2 :premises (@p6803)) % 0.93/1.19 (step @p6805 :rule not_implies_elim2 :premises (@p6804)) % 0.93/1.19 (step @p6806 :rule not_implies_elim2 :premises (@p6805)) % 0.93/1.19 (step @p6807 :rule not_implies_elim2 :premises (@p6806)) % 0.93/1.19 (step @p6808 :rule not_implies_elim2 :premises (@p6807)) % 0.93/1.19 (step @p6809 :rule not_implies_elim2 :premises (@p6808)) % 0.93/1.19 (step @p6810 :rule not_implies_elim2 :premises (@p6809)) % 0.93/1.19 (step @p6811 :rule not_implies_elim2 :premises (@p6810)) % 0.93/1.19 (step @p6812 :rule not_implies_elim2 :premises (@p6811)) % 0.93/1.19 (step @p6813 :rule not_implies_elim2 :premises (@p6812)) % 0.93/1.19 (step @p6814 :rule not_implies_elim2 :premises (@p6813)) % 0.93/1.19 (step @p6815 :rule not_implies_elim2 :premises (@p6814)) % 0.93/1.19 (step @p6816 :rule not_implies_elim2 :premises (@p6815)) % 0.93/1.19 (step @p6817 :rule not_implies_elim2 :premises (@p6816)) % 0.93/1.19 (step @p6818 :rule not_implies_elim2 :premises (@p6817)) % 0.93/1.19 (step @p6819 :rule not_implies_elim2 :premises (@p6818)) % 0.93/1.19 (step @p6820 :rule not_implies_elim2 :premises (@p6819)) % 0.93/1.19 (step @p6821 :rule not_implies_elim2 :premises (@p6820)) % 0.93/1.19 (step @p6822 :rule not_implies_elim2 :premises (@p6821)) % 0.93/1.19 (step @p6823 :rule not_implies_elim2 :premises (@p6822)) % 0.93/1.19 (step @p6824 :rule not_implies_elim2 :premises (@p6823)) % 0.93/1.19 (step @p6825 :rule not_implies_elim2 :premises (@p6824)) % 0.93/1.19 (step @p6826 :rule not_implies_elim2 :premises (@p6825)) % 0.93/1.19 (step @p6827 :rule not_implies_elim2 :premises (@p6826)) % 0.93/1.19 (step @p6828 :rule not_implies_elim2 :premises (@p6827)) % 0.93/1.19 (step @p6829 :rule not_implies_elim2 :premises (@p6828)) % 0.93/1.19 (step @p6830 :rule not_implies_elim2 :premises (@p6829)) % 0.93/1.19 (step @p6831 :rule not_implies_elim2 :premises (@p6830)) % 0.93/1.19 (step @p6832 :rule not_implies_elim2 :premises (@p6831)) % 0.93/1.19 (step @p6833 :rule not_implies_elim2 :premises (@p6832)) % 0.93/1.19 (step @p6834 :rule not_implies_elim2 :premises (@p6833)) % 0.93/1.19 (step @p6835 :rule not_implies_elim2 :premises (@p6834)) % 0.93/1.19 (step @p6836 :rule not_implies_elim2 :premises (@p6835)) % 0.93/1.19 (step @p6837 :rule not_implies_elim2 :premises (@p6836)) % 0.93/1.19 (step @p6838 :rule not_implies_elim2 :premises (@p6837)) % 0.93/1.19 (step @p6839 :rule not_implies_elim2 :premises (@p6838)) % 0.93/1.19 (step @p6840 :rule not_implies_elim2 :premises (@p6839)) % 0.93/1.19 (step @p6841 :rule not_implies_elim2 :premises (@p6840)) % 0.93/1.19 (step @p6842 :rule not_implies_elim2 :premises (@p6841)) % 0.93/1.19 (step @p6843 :rule not_implies_elim2 :premises (@p6842)) % 0.93/1.19 (step @p6844 :rule not_implies_elim2 :premises (@p6843)) % 0.93/1.19 (step @p6845 :rule not_implies_elim2 :premises (@p6844)) % 0.93/1.19 (step @p6846 :rule not_implies_elim2 :premises (@p6845)) % 0.93/1.19 (step @p6847 :rule not_implies_elim2 :premises (@p6846)) % 0.93/1.19 (step @p6848 :rule not_implies_elim2 :premises (@p6847)) % 0.93/1.19 (step @p6849 :rule not_implies_elim2 :premises (@p6848)) % 0.93/1.19 (step @p6850 :rule not_implies_elim2 :premises (@p6849)) % 0.93/1.19 (step @p6851 :rule not_implies_elim2 :premises (@p6850)) % 0.93/1.19 (step @p6852 :rule not_implies_elim2 :premises (@p6851)) % 0.93/1.19 (step @p6853 :rule not_implies_elim2 :premises (@p6852)) % 0.93/1.19 (step @p6854 :rule not_implies_elim2 :premises (@p6853)) % 0.93/1.19 (step @p6855 :rule not_implies_elim2 :premises (@p6854)) % 0.93/1.19 (step @p6856 :rule not_implies_elim2 :premises (@p6855)) % 0.93/1.19 (step @p6857 :rule not_implies_elim2 :premises (@p6856)) % 0.93/1.19 (step @p6858 :rule not_implies_elim2 :premises (@p6857)) % 0.93/1.19 (step @p6859 :rule not_implies_elim2 :premises (@p6858)) % 0.93/1.19 (step @p6860 :rule not_implies_elim2 :premises (@p6859)) % 0.93/1.19 (step @p6861 :rule not_implies_elim2 :premises (@p6860)) % 0.93/1.19 (step @p6862 :rule not_implies_elim2 :premises (@p6861)) % 0.93/1.19 (step @p6863 :rule not_implies_elim2 :premises (@p6862)) % 0.93/1.19 (step @p6864 :rule not_implies_elim2 :premises (@p6863)) % 0.93/1.19 (step @p6865 :rule not_implies_elim2 :premises (@p6864)) % 0.93/1.19 (step @p6866 :rule not_implies_elim2 :premises (@p6865)) % 0.93/1.19 (step @p6867 :rule not_implies_elim2 :premises (@p6866)) % 0.93/1.19 (step @p6868 :rule not_implies_elim2 :premises (@p6867)) % 0.93/1.19 (step @p6869 :rule not_implies_elim2 :premises (@p6868)) % 0.93/1.19 (step @p6870 :rule not_implies_elim2 :premises (@p6869)) % 0.93/1.19 (step @p6871 :rule not_implies_elim2 :premises (@p6870)) % 0.93/1.19 (step @p6872 :rule not_implies_elim2 :premises (@p6871)) % 0.93/1.19 (step @p6873 :rule not_implies_elim2 :premises (@p6872)) % 0.93/1.19 (step @p6874 :rule not_implies_elim2 :premises (@p6873)) % 0.93/1.19 (step @p6875 :rule not_implies_elim2 :premises (@p6874)) % 0.93/1.19 (step @p6876 :rule not_implies_elim2 :premises (@p6875)) % 0.93/1.19 (step @p6877 :rule not_implies_elim2 :premises (@p6876)) % 0.93/1.19 (step @p6878 :rule not_implies_elim2 :premises (@p6877)) % 0.93/1.19 (step @p6879 :rule not_implies_elim2 :premises (@p6878)) % 0.93/1.19 (step @p6880 :rule not_implies_elim2 :premises (@p6879)) % 0.93/1.19 (step @p6881 :rule not_implies_elim2 :premises (@p6880)) % 0.93/1.19 (step @p6882 :rule not_implies_elim2 :premises (@p6881)) % 0.93/1.19 (step @p6883 :rule not_implies_elim2 :premises (@p6882)) % 0.93/1.19 (step @p6884 :rule not_implies_elim2 :premises (@p6883)) % 0.93/1.19 (step @p6885 :rule not_implies_elim2 :premises (@p6884)) % 0.93/1.19 (step @p6886 :rule not_implies_elim2 :premises (@p6885)) % 0.93/1.19 (step @p6887 :rule not_implies_elim2 :premises (@p6886)) % 0.93/1.19 (step @p6888 :rule not_implies_elim2 :premises (@p6887)) % 0.93/1.19 (step @p6889 :rule not_implies_elim2 :premises (@p6888)) % 0.93/1.19 (step @p6890 :rule not_implies_elim2 :premises (@p6889)) % 0.93/1.19 (step @p6891 :rule not_implies_elim2 :premises (@p6890)) % 0.93/1.19 (step @p6892 :rule not_implies_elim2 :premises (@p6891)) % 0.93/1.19 (step @p6893 :rule not_implies_elim2 :premises (@p6892)) % 0.93/1.19 (step @p6894 :rule not_implies_elim2 :premises (@p6893)) % 0.93/1.19 (step @p6895 :rule not_implies_elim2 :premises (@p6894)) % 0.93/1.19 (step @p6896 :rule not_implies_elim2 :premises (@p6895)) % 0.93/1.19 (step @p6897 :rule not_implies_elim2 :premises (@p6896)) % 0.93/1.19 (step @p6898 :rule not_implies_elim2 :premises (@p6897)) % 0.93/1.19 (step @p6899 :rule not_implies_elim2 :premises (@p6898)) % 0.93/1.19 (step @p6900 :rule not_implies_elim2 :premises (@p6899)) % 0.93/1.19 (step @p6901 :rule not_implies_elim2 :premises (@p6900)) % 0.93/1.19 (step @p6902 :rule not_implies_elim2 :premises (@p6901)) % 0.93/1.19 (step @p6903 :rule not_implies_elim2 :premises (@p6902)) % 0.93/1.19 (step @p6904 :rule not_implies_elim2 :premises (@p6903)) % 0.93/1.19 (step @p6905 :rule not_implies_elim2 :premises (@p6904)) % 0.93/1.19 (step @p6906 :rule not_implies_elim2 :premises (@p6905)) % 0.93/1.19 (step @p6907 :rule not_implies_elim2 :premises (@p6906)) % 0.93/1.19 (step @p6908 :rule not_implies_elim2 :premises (@p6907)) % 0.93/1.19 (step @p6909 :rule not_implies_elim2 :premises (@p6908)) % 0.93/1.19 (step @p6910 :rule not_implies_elim2 :premises (@p6909)) % 0.93/1.19 (step @p6911 :rule not_implies_elim2 :premises (@p6910)) % 0.93/1.19 (step @p6912 :rule not_implies_elim2 :premises (@p6911)) % 0.93/1.19 (step @p6913 :rule not_implies_elim2 :premises (@p6912)) % 0.93/1.19 (step @p6914 :rule not_implies_elim2 :premises (@p6913)) % 0.93/1.19 (step @p6915 :rule not_implies_elim2 :premises (@p6914)) % 0.93/1.19 (step @p6916 :rule not_implies_elim2 :premises (@p6915)) % 0.93/1.19 (step @p6917 :rule not_implies_elim2 :premises (@p6916)) % 0.93/1.19 (step @p6918 :rule not_implies_elim2 :premises (@p6917)) % 0.93/1.19 (step @p6919 :rule not_implies_elim2 :premises (@p6918)) % 0.93/1.19 (step @p6920 :rule not_implies_elim2 :premises (@p6919)) % 0.93/1.19 (step @p6921 :rule not_implies_elim2 :premises (@p6920)) % 0.93/1.19 (step @p6922 :rule not_implies_elim2 :premises (@p6921)) % 0.93/1.19 (step @p6923 :rule not_implies_elim2 :premises (@p6922)) % 0.93/1.19 (step @p6924 :rule not_implies_elim2 :premises (@p6923)) % 0.93/1.19 (step @p6925 :rule not_implies_elim2 :premises (@p6924)) % 0.93/1.19 (step @p6926 :rule not_implies_elim2 :premises (@p6925)) % 0.93/1.19 (step @p6927 :rule not_implies_elim2 :premises (@p6926)) % 0.93/1.19 (step @p6928 :rule not_implies_elim2 :premises (@p6927)) % 0.93/1.19 (step @p6929 :rule not_implies_elim2 :premises (@p6928)) % 0.93/1.19 (step @p6930 :rule not_implies_elim2 :premises (@p6929)) % 0.93/1.19 (step @p6931 :rule not_implies_elim2 :premises (@p6930)) % 0.93/1.19 (step @p6932 :rule not_implies_elim2 :premises (@p6931)) % 0.93/1.19 (step @p6933 :rule not_implies_elim2 :premises (@p6932)) % 0.93/1.19 (step @p6934 :rule not_implies_elim2 :premises (@p6933)) % 0.93/1.19 (step @p6935 :rule not_implies_elim2 :premises (@p6934)) % 0.93/1.19 (step @p6936 :rule not_implies_elim2 :premises (@p6935)) % 0.93/1.19 (step @p6937 :rule not_implies_elim2 :premises (@p6936)) % 0.93/1.19 (step @p6938 :rule not_implies_elim2 :premises (@p6937)) % 0.93/1.19 (step @p6939 :rule not_implies_elim2 :premises (@p6938)) % 0.93/1.19 (step @p6940 :rule not_implies_elim2 :premises (@p6939)) % 0.93/1.19 (step @p6941 :rule not_implies_elim2 :premises (@p6940)) % 0.93/1.19 (step @p6942 :rule not_implies_elim2 :premises (@p6941)) % 0.93/1.19 (step @p6943 :rule not_implies_elim2 :premises (@p6942)) % 0.93/1.19 (step @p6944 :rule not_implies_elim2 :premises (@p6943)) % 0.93/1.19 (step @p6945 :rule not_implies_elim2 :premises (@p6944)) % 0.93/1.19 (step @p6946 :rule not_implies_elim2 :premises (@p6945)) % 0.93/1.19 (step @p6947 :rule not_implies_elim2 :premises (@p6946)) % 0.93/1.19 (step @p6948 :rule not_implies_elim2 :premises (@p6947)) % 0.93/1.19 (step @p6949 :rule not_implies_elim2 :premises (@p6948)) % 0.93/1.19 (step @p6950 :rule not_implies_elim2 :premises (@p6949)) % 0.93/1.19 (step @p6951 :rule not_implies_elim2 :premises (@p6950)) % 0.93/1.19 (step @p6952 :rule not_implies_elim2 :premises (@p6951)) % 0.93/1.19 (step @p6953 :rule not_implies_elim2 :premises (@p6952)) % 0.93/1.19 (step @p6954 :rule not_implies_elim2 :premises (@p6953)) % 0.93/1.19 (step @p6955 :rule not_implies_elim2 :premises (@p6954)) % 0.93/1.19 (step @p6956 :rule not_implies_elim2 :premises (@p6955)) % 0.93/1.19 (step @p6957 :rule not_implies_elim2 :premises (@p6956)) % 0.93/1.19 (step @p6958 :rule not_implies_elim2 :premises (@p6957)) % 0.93/1.19 (step @p6959 :rule not_implies_elim2 :premises (@p6958)) % 0.93/1.19 (step @p6960 :rule not_implies_elim2 :premises (@p6959)) % 0.93/1.19 (step @p6961 :rule not_implies_elim2 :premises (@p6960)) % 0.93/1.19 (step @p6962 :rule not_implies_elim2 :premises (@p6961)) % 0.93/1.19 (step @p6963 :rule not_implies_elim2 :premises (@p6962)) % 0.93/1.19 (step @p6964 :rule not_implies_elim2 :premises (@p6963)) % 0.93/1.19 (step @p6965 :rule not_implies_elim2 :premises (@p6964)) % 0.93/1.19 (step @p6966 :rule not_implies_elim2 :premises (@p6965)) % 0.93/1.19 (step @p6967 :rule not_implies_elim2 :premises (@p6966)) % 0.93/1.19 (step @p6968 :rule not_implies_elim2 :premises (@p6967)) % 0.93/1.19 (step @p6969 :rule not_implies_elim2 :premises (@p6968)) % 0.93/1.19 (step @p6970 :rule not_implies_elim2 :premises (@p6969)) % 0.93/1.19 (step @p6971 :rule not_implies_elim2 :premises (@p6970)) % 0.93/1.19 (step @p6972 :rule not_implies_elim2 :premises (@p6971)) % 0.93/1.19 (step @p6973 :rule skolemize :premises (@p6972)) % 0.93/1.19 (step @p6974 :rule bool-double-not-elim :args (@t3463)) % 0.93/1.19 (step @p6975 :rule refl :args (@t3473)) % 0.93/1.19 (step @p6976 :rule nary_cong :premises (@p6975 @p6974) :args ((or @t3473 (not @t3469)))) % 0.93/1.19 (step @p6977 :rule cnf_or_neg :args (@t3473 2)) % 0.93/1.19 (step @p6978 :rule eq_resolve :premises (@p6977 @p6976)) % 0.93/1.19 (step @p6979 :rule reordering :premises (@p6978) :args ((or @t3463 @t3473))) % 0.93/1.19 (step @p6980 :rule chain_m_resolution :premises (@p6979 @p6973) :args (@t3463 @t3474 @t3475)) % 0.93/1.19 (step @p6981 :rule bool-double-not-elim :args (@t3471)) % 0.93/1.19 (step @p6982 :rule nary_cong :premises (@p6975 @p6981) :args ((or @t3473 (not @t3472)))) % 0.93/1.19 (step @p6983 :rule cnf_or_neg :args (@t3473 1)) % 0.93/1.19 (step @p6984 :rule eq_resolve :premises (@p6983 @p6982)) % 0.93/1.19 (step @p6985 :rule reordering :premises (@p6984) :args ((or @t3471 @t3473))) % 0.93/1.19 (step @p6986 :rule chain_m_resolution :premises (@p6985 @p6973) :args (@t3471 @t3474 @t3475)) % 0.93/1.19 (step @p6987 :rule instantiate :premises (@p6986) :args ((@list @t3462))) % 0.93/1.19 (step @p6988 :rule bool-double-not-elim :args (@t3467)) % 0.93/1.19 (step @p6989 :rule nary_cong :premises (@p6975 @p6988) :args ((or @t3473 (not @t3468)))) % 0.93/1.19 (step @p6990 :rule cnf_or_neg :args (@t3473 3)) % 0.93/1.19 (step @p6991 :rule eq_resolve :premises (@p6990 @p6989)) % 0.93/1.19 (step @p6992 :rule reordering :premises (@p6991) :args ((or @t3467 @t3473))) % 0.93/1.19 (step @p6993 :rule chain_m_resolution :premises (@p6992 @p6973) :args (@t3467 @t3474 @t3475)) % 0.93/1.19 (step @p6994 :rule alpha_equiv :args ((forall (@list @t3478) (or (not (tptp.in @t3478 @t3477)) (not (= (tptp.setadjoin @t3478 tptp.emptyset) @t3477)))) @t3479 (@list @t19 @t1098))) % 0.93/1.19 (step @p6995 :rule alpha_equiv :args (@t3467 (@list @t19 @t1089) @t3479)) % 0.93/1.19 (step @p6996 :rule trans :premises (@p6995 @p6994)) % 0.93/1.19 (step @p6997 :rule equiv_elim1 :premises (@p6996)) % 0.93/1.19 (step @p6998 :rule chain_m_resolution :premises (@p6997 @p6993) :args (@t3480 (@list false) (@list @t3467))) % 0.93/1.19 (step @p6999 :rule cnf_or_pos :args (@t3482)) % 0.93/1.19 (step @p7000 :rule reordering :premises (@p6999) :args ((or @t3469 @t3481 (not @t3482)))) % 0.93/1.19 (step @p7001 false :rule chain_m_resolution :premises (@p7000 @p6998 @p6987 @p6980) :args (false (@list false false false) (@list @t3480 @t3482 @t3463))) % 0.93/1.19 ) % 0.93/1.19 % SZS output end Proof % 0.93/1.19 % cvc5 exiting %------------------------------------------------------------------------------